Unnamed: 0
int64 0
0
| repo_id
stringlengths 5
186
| file_path
stringlengths 15
223
| content
stringlengths 1
32.8M
⌀ |
|---|---|---|---|
0 | repos/c2z/use_cases/JoltPhysics/include | repos/c2z/use_cases/JoltPhysics/include/AABBTree/AABBTreeToBuffer.h | // Jolt Physics Library (https://github.com/jrouwe/JoltPhysics)
// SPDX-FileCopyrightText: 2021 Jorrit Rouwe
// SPDX-License-Identifier: MIT
#pragma once
#include <Jolt/AABBTree/AABBTreeBuilder.h>
#include <Jolt/Core/ByteBuffer.h>
#include <Jolt/Geometry/IndexedTriangle.h>
JPH_SUPPRESS_WARNINGS_STD_BEGIN
#include <deque>
JPH_SUPPRESS_WARNINGS_STD_END
JPH_NAMESPACE_BEGIN
template <class T> using Deque = std::deque<T, STLAllocator<T>>;
/// Conversion algorithm that converts an AABB tree to an optimized binary buffer
template <class TriangleCodec, class NodeCodec>
class AABBTreeToBuffer
{
public:
/// Header for the tree
using NodeHeader = typename NodeCodec::Header;
/// Size in bytes of the header of the tree
static const int HeaderSize = NodeCodec::HeaderSize;
/// Maximum number of children per node in the tree
static const int NumChildrenPerNode = NodeCodec::NumChildrenPerNode;
/// Header for the triangles
using TriangleHeader = typename TriangleCodec::TriangleHeader;
/// Size in bytes of the header for the triangles
static const int TriangleHeaderSize = TriangleCodec::TriangleHeaderSize;
/// Convert AABB tree. Returns false if failed.
bool Convert(const VertexList &inVertices, const AABBTreeBuilder::Node *inRoot, const char *&outError)
{
const typename NodeCodec::EncodingContext node_ctx;
typename TriangleCodec::EncodingContext tri_ctx(inVertices);
// Estimate the amount of memory required
uint tri_count = inRoot->GetTriangleCountInTree();
uint node_count = inRoot->GetNodeCount();
uint nodes_size = node_ctx.GetPessimisticMemoryEstimate(node_count);
uint total_size = HeaderSize + TriangleHeaderSize + nodes_size + tri_ctx.GetPessimisticMemoryEstimate(tri_count);
mTree.reserve(total_size);
// Reset counters
mNodesSize = 0;
// Add headers
NodeHeader *header = HeaderSize > 0? mTree.Allocate<NodeHeader>() : nullptr;
TriangleHeader *triangle_header = TriangleHeaderSize > 0? mTree.Allocate<TriangleHeader>() : nullptr;
struct NodeData
{
const AABBTreeBuilder::Node * mNode = nullptr; // Node that this entry belongs to
Vec3 mNodeBoundsMin; // Quantized node bounds
Vec3 mNodeBoundsMax;
uint mNodeStart = uint(-1); // Start of node in mTree
uint mTriangleStart = uint(-1); // Start of the triangle data in mTree
uint mNumChildren = 0; // Number of children
uint mChildNodeStart[NumChildrenPerNode]; // Start of the children of the node in mTree
uint mChildTrianglesStart[NumChildrenPerNode]; // Start of the triangle data in mTree
uint * mParentChildNodeStart = nullptr; // Where to store mNodeStart (to patch mChildNodeStart of my parent)
uint * mParentTrianglesStart = nullptr; // Where to store mTriangleStart (to patch mChildTrianglesStart of my parent)
};
Deque<NodeData *> to_process;
Deque<NodeData *> to_process_triangles;
Array<NodeData> node_list;
node_list.reserve(node_count); // Needed to ensure that array is not reallocated, so we can keep pointers in the array
NodeData root;
root.mNode = inRoot;
root.mNodeBoundsMin = inRoot->mBounds.mMin;
root.mNodeBoundsMax = inRoot->mBounds.mMax;
node_list.push_back(root);
to_process.push_back(&node_list.back());
// Child nodes out of loop so we don't constantly realloc it
Array<const AABBTreeBuilder::Node *> child_nodes;
child_nodes.reserve(NumChildrenPerNode);
for (;;)
{
while (!to_process.empty())
{
// Get the next node to process
NodeData *node_data = to_process.back();
to_process.pop_back();
// Due to quantization box could have become bigger, not smaller
JPH_ASSERT(AABox(node_data->mNodeBoundsMin, node_data->mNodeBoundsMax).Contains(node_data->mNode->mBounds), "AABBTreeToBuffer: Bounding box became smaller!");
// Collect the first NumChildrenPerNode sub-nodes in the tree
child_nodes.clear(); // Won't free the memory
node_data->mNode->GetNChildren(NumChildrenPerNode, child_nodes);
node_data->mNumChildren = (uint)child_nodes.size();
// Fill in default child bounds
Vec3 child_bounds_min[NumChildrenPerNode], child_bounds_max[NumChildrenPerNode];
for (size_t i = 0; i < NumChildrenPerNode; ++i)
if (i < child_nodes.size())
{
child_bounds_min[i] = child_nodes[i]->mBounds.mMin;
child_bounds_max[i] = child_nodes[i]->mBounds.mMax;
}
else
{
child_bounds_min[i] = Vec3::sZero();
child_bounds_max[i] = Vec3::sZero();
}
// Start a new node
uint old_size = (uint)mTree.size();
node_data->mNodeStart = node_ctx.NodeAllocate(node_data->mNode, node_data->mNodeBoundsMin, node_data->mNodeBoundsMax, child_nodes, child_bounds_min, child_bounds_max, mTree, outError);
if (node_data->mNodeStart == uint(-1))
return false;
mNodesSize += (uint)mTree.size() - old_size;
if (node_data->mNode->HasChildren())
{
// Insert in reverse order so we process left child first when taking nodes from the back
for (int idx = int(child_nodes.size()) - 1; idx >= 0; --idx)
{
// Due to quantization box could have become bigger, not smaller
JPH_ASSERT(AABox(child_bounds_min[idx], child_bounds_max[idx]).Contains(child_nodes[idx]->mBounds), "AABBTreeToBuffer: Bounding box became smaller!");
// Add child to list of nodes to be processed
NodeData child;
child.mNode = child_nodes[idx];
child.mNodeBoundsMin = child_bounds_min[idx];
child.mNodeBoundsMax = child_bounds_max[idx];
child.mParentChildNodeStart = &node_data->mChildNodeStart[idx];
child.mParentTrianglesStart = &node_data->mChildTrianglesStart[idx];
NodeData *old = &node_list[0];
node_list.push_back(child);
if (old != &node_list[0])
{
outError = "Internal Error: Array reallocated, memory corruption!";
return false;
}
// Store triangles in separate list so we process them last
if (node_list.back().mNode->HasChildren())
to_process.push_back(&node_list.back());
else
to_process_triangles.push_back(&node_list.back());
}
}
else
{
// Add triangles
node_data->mTriangleStart = tri_ctx.Pack(node_data->mNode->mTriangles, mTree, outError);
if (node_data->mTriangleStart == uint(-1))
return false;
}
// Patch offset into parent
if (node_data->mParentChildNodeStart != nullptr)
{
*node_data->mParentChildNodeStart = node_data->mNodeStart;
*node_data->mParentTrianglesStart = node_data->mTriangleStart;
}
}
// If we've got triangles to process, loop again with just the triangles
if (to_process_triangles.empty())
break;
else
to_process.swap(to_process_triangles);
}
// Finalize all nodes
for (NodeData &n : node_list)
if (!node_ctx.NodeFinalize(n.mNode, n.mNodeStart, n.mNumChildren, n.mChildNodeStart, n.mChildTrianglesStart, mTree, outError))
return false;
// Finalize the triangles
tri_ctx.Finalize(inVertices, triangle_header, mTree);
// Validate that we reserved enough memory
if (nodes_size < mNodesSize)
{
outError = "Internal Error: Not enough memory reserved for nodes!";
return false;
}
if (total_size < (uint)mTree.size())
{
outError = "Internal Error: Not enough memory reserved for triangles!";
return false;
}
// Finalize the nodes
if (!node_ctx.Finalize(header, inRoot, node_list[0].mNodeStart, node_list[0].mTriangleStart, outError))
return false;
// Shrink the tree, this will invalidate the header and triangle_header variables
mTree.shrink_to_fit();
return true;
}
/// Get resulting data
inline const ByteBuffer & GetBuffer() const
{
return mTree;
}
/// Get resulting data
inline ByteBuffer & GetBuffer()
{
return mTree;
}
/// Get header for tree
inline const NodeHeader * GetNodeHeader() const
{
return mTree.Get<NodeHeader>(0);
}
/// Get header for triangles
inline const TriangleHeader * GetTriangleHeader() const
{
return mTree.Get<TriangleHeader>(HeaderSize);
}
/// Get root of resulting tree
inline const void * GetRoot() const
{
return mTree.Get<void>(HeaderSize + TriangleHeaderSize);
}
private:
ByteBuffer mTree; ///< Resulting tree structure
uint mNodesSize; ///< Size in bytes of the nodes in the buffer
};
JPH_NAMESPACE_END
|
0 | repos/c2z/use_cases/JoltPhysics/include/AABBTree | repos/c2z/use_cases/JoltPhysics/include/AABBTree/NodeCodec/NodeCodecQuadTreeHalfFloat.h | // Jolt Physics Library (https://github.com/jrouwe/JoltPhysics)
// SPDX-FileCopyrightText: 2021 Jorrit Rouwe
// SPDX-License-Identifier: MIT
#pragma once
#include <Jolt/Core/ByteBuffer.h>
#include <Jolt/Math/HalfFloat.h>
#include <Jolt/AABBTree/AABBTreeBuilder.h>
JPH_NAMESPACE_BEGIN
template <int Alignment>
class NodeCodecQuadTreeHalfFloat
{
public:
/// Number of child nodes of this node
static constexpr int NumChildrenPerNode = 4;
/// Header for the tree
struct Header
{
Float3 mRootBoundsMin;
Float3 mRootBoundsMax;
uint32 mRootProperties;
};
/// Size of the header (an empty struct is always > 0 bytes so this needs a separate variable)
static constexpr int HeaderSize = sizeof(Header);
/// Stack size to use during DecodingContext::sWalkTree
static constexpr int StackSize = 128;
/// Node properties
enum : uint32
{
TRIANGLE_COUNT_BITS = 4,
TRIANGLE_COUNT_SHIFT = 28,
TRIANGLE_COUNT_MASK = (1 << TRIANGLE_COUNT_BITS) - 1,
OFFSET_BITS = 28,
OFFSET_MASK = (1 << OFFSET_BITS) - 1,
OFFSET_NON_SIGNIFICANT_BITS = 2,
OFFSET_NON_SIGNIFICANT_MASK = (1 << OFFSET_NON_SIGNIFICANT_BITS) - 1,
};
/// Node structure
struct Node
{
HalfFloat mBoundsMinX[4]; ///< 4 child bounding boxes
HalfFloat mBoundsMinY[4];
HalfFloat mBoundsMinZ[4];
HalfFloat mBoundsMaxX[4];
HalfFloat mBoundsMaxY[4];
HalfFloat mBoundsMaxZ[4];
uint32 mNodeProperties[4]; ///< 4 child node properties
};
static_assert(sizeof(Node) == 64, "Node should be 64 bytes");
/// This class encodes and compresses quad tree nodes
class EncodingContext
{
public:
/// Get an upper bound on the amount of bytes needed for a node tree with inNodeCount nodes
uint GetPessimisticMemoryEstimate(uint inNodeCount) const
{
return inNodeCount * (sizeof(Node) + Alignment - 1);
}
/// Allocate a new node for inNode.
/// Algorithm can modify the order of ioChildren to indicate in which order children should be compressed
/// Algorithm can enlarge the bounding boxes of the children during compression and returns these in outChildBoundsMin, outChildBoundsMax
/// inNodeBoundsMin, inNodeBoundsMax is the bounding box if inNode possibly widened by compressing the parent node
/// Returns uint(-1) on error and reports the error in outError
uint NodeAllocate(const AABBTreeBuilder::Node *inNode, Vec3Arg inNodeBoundsMin, Vec3Arg inNodeBoundsMax, Array<const AABBTreeBuilder::Node *> &ioChildren, Vec3 outChildBoundsMin[NumChildrenPerNode], Vec3 outChildBoundsMax[NumChildrenPerNode], ByteBuffer &ioBuffer, const char *&outError) const
{
// We don't emit nodes for leafs
if (!inNode->HasChildren())
return (uint)ioBuffer.size();
// Align the buffer
ioBuffer.Align(Alignment);
uint node_start = (uint)ioBuffer.size();
// Fill in bounds
Node *node = ioBuffer.Allocate<Node>();
for (size_t i = 0; i < 4; ++i)
{
if (i < ioChildren.size())
{
const AABBTreeBuilder::Node *this_node = ioChildren[i];
// Copy bounding box
node->mBoundsMinX[i] = HalfFloatConversion::FromFloat<HalfFloatConversion::ROUND_TO_NEG_INF>(this_node->mBounds.mMin.GetX());
node->mBoundsMinY[i] = HalfFloatConversion::FromFloat<HalfFloatConversion::ROUND_TO_NEG_INF>(this_node->mBounds.mMin.GetY());
node->mBoundsMinZ[i] = HalfFloatConversion::FromFloat<HalfFloatConversion::ROUND_TO_NEG_INF>(this_node->mBounds.mMin.GetZ());
node->mBoundsMaxX[i] = HalfFloatConversion::FromFloat<HalfFloatConversion::ROUND_TO_POS_INF>(this_node->mBounds.mMax.GetX());
node->mBoundsMaxY[i] = HalfFloatConversion::FromFloat<HalfFloatConversion::ROUND_TO_POS_INF>(this_node->mBounds.mMax.GetY());
node->mBoundsMaxZ[i] = HalfFloatConversion::FromFloat<HalfFloatConversion::ROUND_TO_POS_INF>(this_node->mBounds.mMax.GetZ());
// Store triangle count
node->mNodeProperties[i] = this_node->GetTriangleCount() << TRIANGLE_COUNT_SHIFT;
if (this_node->GetTriangleCount() >= TRIANGLE_COUNT_MASK)
{
outError = "NodeCodecQuadTreeHalfFloat: Too many triangles";
return uint(-1);
}
}
else
{
// Make this an invalid triangle node
node->mNodeProperties[i] = uint32(TRIANGLE_COUNT_MASK) << TRIANGLE_COUNT_SHIFT;
// Make bounding box invalid
node->mBoundsMinX[i] = HALF_FLT_MAX;
node->mBoundsMinY[i] = HALF_FLT_MAX;
node->mBoundsMinZ[i] = HALF_FLT_MAX;
node->mBoundsMaxX[i] = HALF_FLT_MAX;
node->mBoundsMaxY[i] = HALF_FLT_MAX;
node->mBoundsMaxZ[i] = HALF_FLT_MAX;
}
}
// Since we don't keep track of the bounding box while descending the tree, we keep the root bounds at all levels for triangle compression
for (int i = 0; i < NumChildrenPerNode; ++i)
{
outChildBoundsMin[i] = inNodeBoundsMin;
outChildBoundsMax[i] = inNodeBoundsMax;
}
return node_start;
}
/// Once all nodes have been added, this call finalizes all nodes by patching in the offsets of the child nodes (that were added after the node itself was added)
bool NodeFinalize(const AABBTreeBuilder::Node *inNode, uint inNodeStart, uint inNumChildren, const uint *inChildrenNodeStart, const uint *inChildrenTrianglesStart, ByteBuffer &ioBuffer, const char *&outError) const
{
if (!inNode->HasChildren())
return true;
Node *node = ioBuffer.Get<Node>(inNodeStart);
for (uint i = 0; i < inNumChildren; ++i)
{
// If there are triangles, use the triangle offset otherwise use the node offset
uint offset = node->mNodeProperties[i] != 0? inChildrenTrianglesStart[i] : inChildrenNodeStart[i];
if (offset & OFFSET_NON_SIGNIFICANT_MASK)
{
outError = "NodeCodecQuadTreeHalfFloat: Internal Error: Offset has non-signifiant bits set";
return false;
}
offset >>= OFFSET_NON_SIGNIFICANT_BITS;
if (offset & ~OFFSET_MASK)
{
outError = "NodeCodecQuadTreeHalfFloat: Offset too large. Too much data.";
return false;
}
// Store offset of next node / triangles
node->mNodeProperties[i] |= offset;
}
return true;
}
/// Once all nodes have been finalized, this will finalize the header of the nodes
bool Finalize(Header *outHeader, const AABBTreeBuilder::Node *inRoot, uint inRootNodeStart, uint inRootTrianglesStart, const char *&outError) const
{
uint offset = inRoot->HasChildren()? inRootNodeStart : inRootTrianglesStart;
if (offset & OFFSET_NON_SIGNIFICANT_MASK)
{
outError = "NodeCodecQuadTreeHalfFloat: Internal Error: Offset has non-signifiant bits set";
return false;
}
offset >>= OFFSET_NON_SIGNIFICANT_BITS;
if (offset & ~OFFSET_MASK)
{
outError = "NodeCodecQuadTreeHalfFloat: Offset too large. Too much data.";
return false;
}
inRoot->mBounds.mMin.StoreFloat3(&outHeader->mRootBoundsMin);
inRoot->mBounds.mMax.StoreFloat3(&outHeader->mRootBoundsMax);
outHeader->mRootProperties = offset + (inRoot->GetTriangleCount() << TRIANGLE_COUNT_SHIFT);
if (inRoot->GetTriangleCount() >= TRIANGLE_COUNT_MASK)
{
outError = "NodeCodecQuadTreeHalfFloat: Too many triangles";
return false;
}
return true;
}
};
/// This class decodes and decompresses quad tree nodes
class DecodingContext
{
public:
/// Get the amount of bits needed to store an ID to a triangle block
inline static uint sTriangleBlockIDBits(const ByteBuffer &inTree)
{
return 32 - CountLeadingZeros((uint32)inTree.size()) - OFFSET_NON_SIGNIFICANT_BITS;
}
/// Convert a triangle block ID to the start of the triangle buffer
inline static const void * sGetTriangleBlockStart(const uint8 *inBufferStart, uint inTriangleBlockID)
{
return inBufferStart + (inTriangleBlockID << OFFSET_NON_SIGNIFICANT_BITS);
}
/// Constructor
JPH_INLINE explicit DecodingContext(const Header *inHeader)
{
// Start with the root node on the stack
mNodeStack[0] = inHeader->mRootProperties;
}
/// Walk the node tree calling the Visitor::VisitNodes for each node encountered and Visitor::VisitTriangles for each triangle encountered
template <class TriangleContext, class Visitor>
JPH_INLINE void WalkTree(const uint8 *inBufferStart, const TriangleContext &inTriangleContext, Visitor &ioVisitor)
{
do
{
// Test if node contains triangles
uint32 node_properties = mNodeStack[mTop];
uint32 tri_count = node_properties >> TRIANGLE_COUNT_SHIFT;
if (tri_count == 0)
{
const Node *node = reinterpret_cast<const Node *>(inBufferStart + (node_properties << OFFSET_NON_SIGNIFICANT_BITS));
// Unpack bounds
UVec4 bounds_minxy = UVec4::sLoadInt4(reinterpret_cast<const uint32 *>(&node->mBoundsMinX[0]));
Vec4 bounds_minx = HalfFloatConversion::ToFloat(bounds_minxy);
Vec4 bounds_miny = HalfFloatConversion::ToFloat(bounds_minxy.Swizzle<SWIZZLE_Z, SWIZZLE_W, SWIZZLE_UNUSED, SWIZZLE_UNUSED>());
UVec4 bounds_minzmaxx = UVec4::sLoadInt4(reinterpret_cast<const uint32 *>(&node->mBoundsMinZ[0]));
Vec4 bounds_minz = HalfFloatConversion::ToFloat(bounds_minzmaxx);
Vec4 bounds_maxx = HalfFloatConversion::ToFloat(bounds_minzmaxx.Swizzle<SWIZZLE_Z, SWIZZLE_W, SWIZZLE_UNUSED, SWIZZLE_UNUSED>());
UVec4 bounds_maxyz = UVec4::sLoadInt4(reinterpret_cast<const uint32 *>(&node->mBoundsMaxY[0]));
Vec4 bounds_maxy = HalfFloatConversion::ToFloat(bounds_maxyz);
Vec4 bounds_maxz = HalfFloatConversion::ToFloat(bounds_maxyz.Swizzle<SWIZZLE_Z, SWIZZLE_W, SWIZZLE_UNUSED, SWIZZLE_UNUSED>());
// Load properties for 4 children
UVec4 properties = UVec4::sLoadInt4(&node->mNodeProperties[0]);
// Check which sub nodes to visit
int num_results = ioVisitor.VisitNodes(bounds_minx, bounds_miny, bounds_minz, bounds_maxx, bounds_maxy, bounds_maxz, properties, mTop);
// Push them onto the stack
JPH_ASSERT(mTop + 4 < StackSize);
properties.StoreInt4(&mNodeStack[mTop]);
mTop += num_results;
}
else if (tri_count != TRIANGLE_COUNT_MASK) // TRIANGLE_COUNT_MASK indicates a padding node, normally we shouldn't visit these nodes but when querying with a big enough box you could touch HALF_FLT_MAX (about 65K)
{
// Node contains triangles, do individual tests
uint32 triangle_block_id = node_properties & OFFSET_MASK;
const void *triangles = sGetTriangleBlockStart(inBufferStart, triangle_block_id);
ioVisitor.VisitTriangles(inTriangleContext, triangles, tri_count, triangle_block_id);
}
// Check if we're done
if (ioVisitor.ShouldAbort())
break;
// Fetch next node until we find one that the visitor wants to see
do
--mTop;
while (mTop >= 0 && !ioVisitor.ShouldVisitNode(mTop));
}
while (mTop >= 0);
}
/// This can be used to have the visitor early out (ioVisitor.ShouldAbort() returns true) and later continue again (call WalkTree() again)
bool IsDoneWalking() const
{
return mTop < 0;
}
private:
uint32 mNodeStack[StackSize];
int mTop = 0;
};
};
JPH_NAMESPACE_END
|
0 | repos/c2z/use_cases/JoltPhysics/include/AABBTree | repos/c2z/use_cases/JoltPhysics/include/AABBTree/TriangleCodec/TriangleCodecIndexed8BitPackSOA4Flags.h | // Jolt Physics Library (https://github.com/jrouwe/JoltPhysics)
// SPDX-FileCopyrightText: 2021 Jorrit Rouwe
// SPDX-License-Identifier: MIT
#pragma once
#include <Jolt/Geometry/RayTriangle.h>
JPH_NAMESPACE_BEGIN
/// Store vertices in 64 bits and indices in 8 bits + 8 bit of flags per triangle like this:
///
/// TriangleBlockHeader,
/// TriangleBlock (4 triangles and their flags in 16 bytes),
/// TriangleBlock...
///
/// Vertices are stored:
///
/// VertexData (1 vertex in 64 bits),
/// VertexData...
///
/// They're compressed relative to the bounding box as provided by the node codec.
class TriangleCodecIndexed8BitPackSOA4Flags
{
public:
class TriangleHeader
{
public:
Float3 mOffset; ///< Offset of all vertices
Float3 mScale; ///< Scale of all vertices, vertex_position = mOffset + mScale * compressed_vertex_position
};
/// Size of the header (an empty struct is always > 0 bytes so this needs a separate variable)
static constexpr int TriangleHeaderSize = sizeof(TriangleHeader);
/// If this codec could return a different offset than the current buffer size when calling Pack()
static constexpr bool ChangesOffsetOnPack = false;
/// Amount of bits per component
enum EComponentData : uint32
{
COMPONENT_BITS = 21,
COMPONENT_MASK = (1 << COMPONENT_BITS) - 1,
};
/// Packed X and Y coordinate
enum EVertexXY : uint32
{
COMPONENT_X = 0,
COMPONENT_Y1 = COMPONENT_BITS,
COMPONENT_Y1_BITS = 32 - COMPONENT_BITS,
};
/// Packed Z and Y coordinate
enum EVertexZY : uint32
{
COMPONENT_Z = 0,
COMPONENT_Y2 = COMPONENT_BITS,
COMPONENT_Y2_BITS = 31 - COMPONENT_BITS,
};
/// A single packed vertex
struct VertexData
{
uint32 mVertexXY;
uint32 mVertexZY;
};
static_assert(sizeof(VertexData) == 8, "Compiler added padding");
/// A block of 4 triangles
struct TriangleBlock
{
uint8 mIndices[3][4]; ///< 8 bit indices to triangle vertices for 4 triangles in the form mIndices[vertex][triangle] where vertex in [0, 2] and triangle in [0, 3]
uint8 mFlags[4]; ///< Triangle flags (could contain material and active edges)
};
static_assert(sizeof(TriangleBlock) == 16, "Compiler added padding");
/// A triangle header, will be followed by one or more TriangleBlocks
struct TriangleBlockHeader
{
const VertexData * GetVertexData() const { return reinterpret_cast<const VertexData *>(reinterpret_cast<const uint8 *>(this) + mOffsetToVertices); }
const TriangleBlock * GetTriangleBlock() const { return reinterpret_cast<const TriangleBlock *>(reinterpret_cast<const uint8 *>(this) + sizeof(TriangleBlockHeader)); }
uint32 mOffsetToVertices; ///< Offset from current block to start of vertices in bytes
};
static_assert(sizeof(TriangleBlockHeader) == 4, "Compiler added padding");
/// This class is used to encode and compress triangle data into a byte buffer
class EncodingContext
{
public:
/// Construct the encoding context
explicit EncodingContext(const VertexList &inVertices) :
mVertexMap(inVertices.size(), 0xffffffff) // Fill vertex map with 'not found'
{
// Reserve for worst case to avoid allocating in the inner loop
mVertices.reserve(inVertices.size());
}
/// Get an upper bound on the amount of bytes needed to store inTriangleCount triangles
uint GetPessimisticMemoryEstimate(uint inTriangleCount) const
{
// Worst case each triangle is alone in a block, none of the vertices are shared and we need to add 3 bytes to align the vertices
return inTriangleCount * (sizeof(TriangleBlockHeader) + sizeof(TriangleBlock) + 3 * sizeof(VertexData)) + 3;
}
/// Pack the triangles in inContainer to ioBuffer. This stores the mMaterialIndex of a triangle in the 8 bit flags.
/// Returns uint(-1) on error.
uint Pack(const IndexedTriangleList &inTriangles, ByteBuffer &ioBuffer, const char *&outError)
{
// Determine position of triangles start
uint offset = (uint)ioBuffer.size();
// Update stats
uint tri_count = (uint)inTriangles.size();
mNumTriangles += tri_count;
// Allocate triangle block header
TriangleBlockHeader *header = ioBuffer.Allocate<TriangleBlockHeader>();
// Compute first vertex that this batch will use (ensuring there's enough room if none of the vertices are shared)
uint start_vertex = Clamp((int)mVertices.size() - 256 + (int)tri_count * 3, 0, (int)mVertices.size());
// Store the start vertex offset, this will later be patched to give the delta offset relative to the triangle block
mOffsetsToPatch.push_back(uint((uint8 *)&header->mOffsetToVertices - &ioBuffer[0]));
header->mOffsetToVertices = start_vertex * sizeof(VertexData);
// Pack vertices
uint padded_triangle_count = AlignUp(tri_count, 4);
for (uint t = 0; t < padded_triangle_count; t += 4)
{
TriangleBlock *block = ioBuffer.Allocate<TriangleBlock>();
for (uint vertex_nr = 0; vertex_nr < 3; ++vertex_nr)
for (uint block_tri_idx = 0; block_tri_idx < 4; ++block_tri_idx)
{
// Fetch vertex index. Create degenerate triangles for padding triangles.
bool triangle_available = t + block_tri_idx < tri_count;
uint32 src_vertex_index = triangle_available? inTriangles[t + block_tri_idx].mIdx[vertex_nr] : inTriangles[tri_count - 1].mIdx[0];
// Check if we've seen this vertex before and if it is in the range that we can encode
uint32 &vertex_index = mVertexMap[src_vertex_index];
if (vertex_index == 0xffffffff || vertex_index < start_vertex)
{
// Add vertex
vertex_index = (uint32)mVertices.size();
mVertices.push_back(src_vertex_index);
}
// Store vertex index
uint32 vertex_offset = vertex_index - start_vertex;
if (vertex_offset > 0xff)
{
outError = "TriangleCodecIndexed8BitPackSOA4Flags: Offset doesn't fit in 8 bit";
return uint(-1);
}
block->mIndices[vertex_nr][block_tri_idx] = (uint8)vertex_offset;
// Store flags
uint32 flags = triangle_available? inTriangles[t + block_tri_idx].mMaterialIndex : 0;
if (flags > 0xff)
{
outError = "TriangleCodecIndexed8BitPackSOA4Flags: Material index doesn't fit in 8 bit";
return uint(-1);
}
block->mFlags[block_tri_idx] = (uint8)flags;
}
}
return offset;
}
/// After all triangles have been packed, this finalizes the header and triangle buffer
void Finalize(const VertexList &inVertices, TriangleHeader *ioHeader, ByteBuffer &ioBuffer) const
{
// Check if anything to do
if (mVertices.empty())
return;
// Align buffer to 4 bytes
uint vertices_idx = (uint)ioBuffer.Align(4);
// Patch the offsets
for (uint o : mOffsetsToPatch)
*ioBuffer.Get<uint32>(o) += vertices_idx - o;
// Calculate bounding box
AABox bounds;
for (uint32 v : mVertices)
bounds.Encapsulate(Vec3(inVertices[v]));
// Compress vertices
VertexData *vertices = ioBuffer.Allocate<VertexData>(mVertices.size());
Vec3 compress_scale = Vec3::sReplicate(COMPONENT_MASK) / Vec3::sMax(bounds.GetSize(), Vec3::sReplicate(1.0e-20f));
for (uint32 v : mVertices)
{
UVec4 c = ((Vec3(inVertices[v]) - bounds.mMin) * compress_scale + Vec3::sReplicate(0.5f)).ToInt();
JPH_ASSERT(c.GetX() <= COMPONENT_MASK);
JPH_ASSERT(c.GetY() <= COMPONENT_MASK);
JPH_ASSERT(c.GetZ() <= COMPONENT_MASK);
vertices->mVertexXY = c.GetX() + (c.GetY() << COMPONENT_Y1);
vertices->mVertexZY = c.GetZ() + ((c.GetY() >> COMPONENT_Y1_BITS) << COMPONENT_Y2);
++vertices;
}
// Store decompression information
bounds.mMin.StoreFloat3(&ioHeader->mOffset);
(bounds.GetSize() / Vec3::sReplicate(COMPONENT_MASK)).StoreFloat3(&ioHeader->mScale);
}
private:
using VertexMap = Array<uint32>;
uint mNumTriangles = 0;
Array<uint32> mVertices; ///< Output vertices as an index into the original vertex list (inVertices), sorted according to occurrence
VertexMap mVertexMap; ///< Maps from the original mesh vertex index (inVertices) to the index in our output vertices (mVertices)
Array<uint> mOffsetsToPatch; ///< Offsets to the vertex buffer that need to be patched in once all nodes have been packed
};
/// This class is used to decode and decompress triangle data packed by the EncodingContext
class DecodingContext
{
private:
/// Private helper functions to unpack the 1 vertex of 4 triangles (outX contains the x coordinate of triangle 0 .. 3 etc.)
JPH_INLINE void Unpack(const VertexData *inVertices, UVec4Arg inIndex, Vec4 &outX, Vec4 &outY, Vec4 &outZ) const
{
// Get compressed data
UVec4 c1 = UVec4::sGatherInt4<8>(&inVertices->mVertexXY, inIndex);
UVec4 c2 = UVec4::sGatherInt4<8>(&inVertices->mVertexZY, inIndex);
// Unpack the x y and z component
UVec4 xc = UVec4::sAnd(c1, UVec4::sReplicate(COMPONENT_MASK));
UVec4 yc = UVec4::sOr(c1.LogicalShiftRight<COMPONENT_Y1>(), c2.LogicalShiftRight<COMPONENT_Y2>().LogicalShiftLeft<COMPONENT_Y1_BITS>());
UVec4 zc = UVec4::sAnd(c2, UVec4::sReplicate(COMPONENT_MASK));
// Convert to float
outX = Vec4::sFusedMultiplyAdd(xc.ToFloat(), mScaleX, mOffsetX);
outY = Vec4::sFusedMultiplyAdd(yc.ToFloat(), mScaleY, mOffsetY);
outZ = Vec4::sFusedMultiplyAdd(zc.ToFloat(), mScaleZ, mOffsetZ);
}
public:
JPH_INLINE explicit DecodingContext(const TriangleHeader *inHeader) :
mOffsetX(Vec4::sReplicate(inHeader->mOffset.x)),
mOffsetY(Vec4::sReplicate(inHeader->mOffset.y)),
mOffsetZ(Vec4::sReplicate(inHeader->mOffset.z)),
mScaleX(Vec4::sReplicate(inHeader->mScale.x)),
mScaleY(Vec4::sReplicate(inHeader->mScale.y)),
mScaleZ(Vec4::sReplicate(inHeader->mScale.z))
{
}
/// Unpacks triangles in the format t1v1,t1v2,t1v3, t2v1,t2v2,t2v3, ...
JPH_INLINE void Unpack(const void *inTriangleStart, uint32 inNumTriangles, Vec3 *outTriangles) const
{
JPH_ASSERT(inNumTriangles > 0);
const TriangleBlockHeader *header = reinterpret_cast<const TriangleBlockHeader *>(inTriangleStart);
const VertexData *vertices = header->GetVertexData();
const TriangleBlock *t = header->GetTriangleBlock();
const TriangleBlock *end = t + ((inNumTriangles + 3) >> 2);
int triangles_left = inNumTriangles;
do
{
// Get the indices for the three vertices (reads 4 bytes extra, but these are the flags so that's ok)
UVec4 indices = UVec4::sLoadInt4(reinterpret_cast<const uint32 *>(&t->mIndices[0]));
UVec4 iv1 = indices.Expand4Byte0();
UVec4 iv2 = indices.Expand4Byte4();
UVec4 iv3 = indices.Expand4Byte8();
// Decompress the triangle data
Vec4 v1x, v1y, v1z, v2x, v2y, v2z, v3x, v3y, v3z;
Unpack(vertices, iv1, v1x, v1y, v1z);
Unpack(vertices, iv2, v2x, v2y, v2z);
Unpack(vertices, iv3, v3x, v3y, v3z);
// Transpose it so we get normal vectors
Mat44 v1 = Mat44(v1x, v1y, v1z, Vec4::sZero()).Transposed();
Mat44 v2 = Mat44(v2x, v2y, v2z, Vec4::sZero()).Transposed();
Mat44 v3 = Mat44(v3x, v3y, v3z, Vec4::sZero()).Transposed();
// Store triangle data
for (int i = 0; i < 4 && triangles_left > 0; ++i, --triangles_left)
{
*outTriangles++ = v1.GetColumn3(i);
*outTriangles++ = v2.GetColumn3(i);
*outTriangles++ = v3.GetColumn3(i);
}
++t;
}
while (t < end);
}
/// Tests a ray against the packed triangles
JPH_INLINE float TestRay(Vec3Arg inRayOrigin, Vec3Arg inRayDirection, const void *inTriangleStart, uint32 inNumTriangles, float inClosest, uint32 &outClosestTriangleIndex) const
{
JPH_ASSERT(inNumTriangles > 0);
const TriangleBlockHeader *header = reinterpret_cast<const TriangleBlockHeader *>(inTriangleStart);
const VertexData *vertices = header->GetVertexData();
const TriangleBlock *t = header->GetTriangleBlock();
const TriangleBlock *end = t + ((inNumTriangles + 3) >> 2);
Vec4 closest = Vec4::sReplicate(inClosest);
UVec4 closest_triangle_idx = UVec4::sZero();
UVec4 start_triangle_idx = UVec4::sZero();
do
{
// Get the indices for the three vertices (reads 4 bytes extra, but these are the flags so that's ok)
UVec4 indices = UVec4::sLoadInt4(reinterpret_cast<const uint32 *>(&t->mIndices[0]));
UVec4 iv1 = indices.Expand4Byte0();
UVec4 iv2 = indices.Expand4Byte4();
UVec4 iv3 = indices.Expand4Byte8();
// Decompress the triangle data
Vec4 v1x, v1y, v1z, v2x, v2y, v2z, v3x, v3y, v3z;
Unpack(vertices, iv1, v1x, v1y, v1z);
Unpack(vertices, iv2, v2x, v2y, v2z);
Unpack(vertices, iv3, v3x, v3y, v3z);
// Perform ray vs triangle test
Vec4 distance = RayTriangle4(inRayOrigin, inRayDirection, v1x, v1y, v1z, v2x, v2y, v2z, v3x, v3y, v3z);
// Update closest with the smaller values
UVec4 smaller = Vec4::sLess(distance, closest);
closest = Vec4::sSelect(closest, distance, smaller);
// Update triangle index with the smallest values
UVec4 triangle_idx = start_triangle_idx + UVec4(0, 1, 2, 3);
closest_triangle_idx = UVec4::sSelect(closest_triangle_idx, triangle_idx, smaller);
// Next block
++t;
start_triangle_idx += UVec4::sReplicate(4);
}
while (t < end);
// Get the smallest component
Vec4::sSort4(closest, closest_triangle_idx);
outClosestTriangleIndex = closest_triangle_idx.GetX();
return closest.GetX();
}
/// Decode a single triangle
inline void GetTriangle(const void *inTriangleStart, uint32 inTriangleIdx, Vec3 &outV1, Vec3 &outV2, Vec3 &outV3) const
{
const TriangleBlockHeader *header = reinterpret_cast<const TriangleBlockHeader *>(inTriangleStart);
const VertexData *vertices = header->GetVertexData();
const TriangleBlock *block = header->GetTriangleBlock() + (inTriangleIdx >> 2);
uint32 block_triangle_idx = inTriangleIdx & 0b11;
// Get the 3 vertices
const VertexData &v1 = vertices[block->mIndices[0][block_triangle_idx]];
const VertexData &v2 = vertices[block->mIndices[1][block_triangle_idx]];
const VertexData &v3 = vertices[block->mIndices[2][block_triangle_idx]];
// Pack the vertices
UVec4 c1(v1.mVertexXY, v2.mVertexXY, v3.mVertexXY, 0);
UVec4 c2(v1.mVertexZY, v2.mVertexZY, v3.mVertexZY, 0);
// Unpack the x y and z component
UVec4 xc = UVec4::sAnd(c1, UVec4::sReplicate(COMPONENT_MASK));
UVec4 yc = UVec4::sOr(c1.LogicalShiftRight<COMPONENT_Y1>(), c2.LogicalShiftRight<COMPONENT_Y2>().LogicalShiftLeft<COMPONENT_Y1_BITS>());
UVec4 zc = UVec4::sAnd(c2, UVec4::sReplicate(COMPONENT_MASK));
// Convert to float
Vec4 vx = Vec4::sFusedMultiplyAdd(xc.ToFloat(), mScaleX, mOffsetX);
Vec4 vy = Vec4::sFusedMultiplyAdd(yc.ToFloat(), mScaleY, mOffsetY);
Vec4 vz = Vec4::sFusedMultiplyAdd(zc.ToFloat(), mScaleZ, mOffsetZ);
// Transpose it so we get normal vectors
Mat44 trans = Mat44(vx, vy, vz, Vec4::sZero()).Transposed();
outV1 = trans.GetAxisX();
outV2 = trans.GetAxisY();
outV3 = trans.GetAxisZ();
}
/// Get flags for entire triangle block
JPH_INLINE static void sGetFlags(const void *inTriangleStart, uint32 inNumTriangles, uint8 *outTriangleFlags)
{
JPH_ASSERT(inNumTriangles > 0);
const TriangleBlockHeader *header = reinterpret_cast<const TriangleBlockHeader *>(inTriangleStart);
const TriangleBlock *t = header->GetTriangleBlock();
const TriangleBlock *end = t + ((inNumTriangles + 3) >> 2);
int triangles_left = inNumTriangles;
do
{
for (int i = 0; i < 4 && triangles_left > 0; ++i, --triangles_left)
*outTriangleFlags++ = t->mFlags[i];
++t;
}
while (t < end);
}
/// Get flags for a particular triangle
JPH_INLINE static uint8 sGetFlags(const void *inTriangleStart, int inTriangleIndex)
{
const TriangleBlockHeader *header = reinterpret_cast<const TriangleBlockHeader *>(inTriangleStart);
const TriangleBlock *first_block = header->GetTriangleBlock();
return first_block[inTriangleIndex >> 2].mFlags[inTriangleIndex & 0b11];
}
/// Unpacks triangles and flags, convencience function
JPH_INLINE void Unpack(const void *inTriangleStart, uint32 inNumTriangles, Vec3 *outTriangles, uint8 *outTriangleFlags) const
{
Unpack(inTriangleStart, inNumTriangles, outTriangles);
sGetFlags(inTriangleStart, inNumTriangles, outTriangleFlags);
}
private:
Vec4 mOffsetX;
Vec4 mOffsetY;
Vec4 mOffsetZ;
Vec4 mScaleX;
Vec4 mScaleY;
Vec4 mScaleZ;
};
};
JPH_NAMESPACE_END
|
0 | repos/c2z/use_cases/JoltPhysics/include | repos/c2z/use_cases/JoltPhysics/include/Renderer/DebugRenderer.h | // Jolt Physics Library (https://github.com/jrouwe/JoltPhysics)
// SPDX-FileCopyrightText: 2021 Jorrit Rouwe
// SPDX-License-Identifier: MIT
#pragma once
#ifndef JPH_DEBUG_RENDERER
#error This file should only be included when JPH_DEBUG_RENDERER is defined
#endif // !JPH_DEBUG_RENDERER
#include <Jolt/Core/Color.h>
#include <Jolt/Core/Reference.h>
#include <Jolt/Core/HashCombine.h>
#include <Jolt/Core/UnorderedMap.h>
#include <Jolt/Math/Float2.h>
#include <Jolt/Geometry/IndexedTriangle.h>
#include <Jolt/Geometry/AABox.h>
JPH_NAMESPACE_BEGIN
class OrientedBox;
/// Simple triangle renderer for debugging purposes.
class DebugRenderer
{
public:
JPH_OVERRIDE_NEW_DELETE
/// Constructor
DebugRenderer();
virtual ~DebugRenderer();
/// Draw line
virtual void DrawLine(RVec3Arg inFrom, RVec3Arg inTo, ColorArg inColor) = 0;
/// Draw wireframe box
void DrawWireBox(const AABox &inBox, ColorArg inColor);
void DrawWireBox(const OrientedBox &inBox, ColorArg inColor);
void DrawWireBox(RMat44Arg inMatrix, const AABox &inBox, ColorArg inColor);
/// Draw a marker on a position
void DrawMarker(RVec3Arg inPosition, ColorArg inColor, float inSize);
/// Draw an arrow
void DrawArrow(RVec3Arg inFrom, RVec3Arg inTo, ColorArg inColor, float inSize);
/// Draw coordinate system (3 arrows, x = red, y = green, z = blue)
void DrawCoordinateSystem(RMat44Arg inTransform, float inSize = 1.0f);
/// Draw a plane through inPoint with normal inNormal
void DrawPlane(RVec3Arg inPoint, Vec3Arg inNormal, ColorArg inColor, float inSize);
/// Draw wireframe triangle
void DrawWireTriangle(RVec3Arg inV1, RVec3Arg inV2, RVec3Arg inV3, ColorArg inColor);
/// Draw a wireframe polygon
template <class VERTEX_ARRAY>
void DrawWirePolygon(RMat44Arg inTransform, const VERTEX_ARRAY &inVertices, ColorArg inColor, float inArrowSize = 0.0f) { for (typename VERTEX_ARRAY::size_type i = 0; i < inVertices.size(); ++i) DrawArrow(inTransform * inVertices[i], inTransform * inVertices[(i + 1) % inVertices.size()], inColor, inArrowSize); }
/// Draw wireframe sphere
void DrawWireSphere(RVec3Arg inCenter, float inRadius, ColorArg inColor, int inLevel = 3);
void DrawWireUnitSphere(RMat44Arg inMatrix, ColorArg inColor, int inLevel = 3);
/// Enum that determines if a shadow should be cast or not
enum class ECastShadow
{
On, // This shape should cast a shadow
Off // This shape should not cast a shadow
};
/// Determines how triangles are drawn
enum class EDrawMode
{
Solid, ///< Draw as a solid shape
Wireframe, ///< Draw as wireframe
};
/// Draw a single back face culled triangle without any shadows
virtual void DrawTriangle(RVec3Arg inV1, RVec3Arg inV2, RVec3Arg inV3, ColorArg inColor) = 0;
/// Draw a box
void DrawBox(const AABox &inBox, ColorArg inColor, ECastShadow inCastShadow = ECastShadow::On, EDrawMode inDrawMode = EDrawMode::Solid);
void DrawBox(RMat44Arg inMatrix, const AABox &inBox, ColorArg inColor, ECastShadow inCastShadow = ECastShadow::On, EDrawMode inDrawMode = EDrawMode::Solid);
/// Draw a sphere
void DrawSphere(RVec3Arg inCenter, float inRadius, ColorArg inColor, ECastShadow inCastShadow = ECastShadow::On, EDrawMode inDrawMode = EDrawMode::Solid);
void DrawUnitSphere(RMat44Arg inMatrix, ColorArg inColor, ECastShadow inCastShadow = ECastShadow::On, EDrawMode inDrawMode = EDrawMode::Solid);
/// Draw a capsule with one half sphere at (0, -inHalfHeightOfCylinder, 0) and the other half sphere at (0, inHalfHeightOfCylinder, 0) and radius inRadius.
/// The capsule will be transformed by inMatrix.
void DrawCapsule(RMat44Arg inMatrix, float inHalfHeightOfCylinder, float inRadius, ColorArg inColor, ECastShadow inCastShadow = ECastShadow::On, EDrawMode inDrawMode = EDrawMode::Solid);
/// Draw a cylinder with top (0, inHalfHeight, 0) and bottom (0, -inHalfHeight, 0) and radius inRadius.
/// The cylinder will be transformed by inMatrix
void DrawCylinder(RMat44Arg inMatrix, float inHalfHeight, float inRadius, ColorArg inColor, ECastShadow inCastShadow = ECastShadow::On, EDrawMode inDrawMode = EDrawMode::Solid);
/// Draw a bottomless cone.
/// @param inTop Top of cone, center of base is at inTop + inAxis.
/// @param inAxis Height and direction of cone
/// @param inPerpendicular Perpendicular vector to inAxis.
/// @param inHalfAngle Specifies the cone angle in radians (angle measured between inAxis and cone surface).
/// @param inLength The length of the cone.
/// @param inColor Color to use for drawing the cone.
/// @param inCastShadow determins if this geometry should cast a shadow or not.
/// @param inDrawMode determines if we draw the geometry solid or in wireframe.
void DrawOpenCone(RVec3Arg inTop, Vec3Arg inAxis, Vec3Arg inPerpendicular, float inHalfAngle, float inLength, ColorArg inColor, ECastShadow inCastShadow = ECastShadow::On, EDrawMode inDrawMode = EDrawMode::Solid);
/// Draws rotation limits as used by the SwingTwistConstraintPart.
/// @param inMatrix Matrix that transforms from constraint space to world space
/// @param inSwingYHalfAngle See SwingTwistConstraintPart
/// @param inSwingZHalfAngle See SwingTwistConstraintPart
/// @param inEdgeLength Size of the edge of the cone shape
/// @param inColor Color to use for drawing the cone.
/// @param inCastShadow determins if this geometry should cast a shadow or not.
/// @param inDrawMode determines if we draw the geometry solid or in wireframe.
void DrawSwingLimits(RMat44Arg inMatrix, float inSwingYHalfAngle, float inSwingZHalfAngle, float inEdgeLength, ColorArg inColor, ECastShadow inCastShadow = ECastShadow::On, EDrawMode inDrawMode = EDrawMode::Solid);
/// Draw a pie (part of a circle).
/// @param inCenter The center of the circle.
/// @param inRadius Radius of the circle.
/// @param inNormal The plane normal in which the pie resides.
/// @param inAxis The axis that defines an angle of 0 radians.
/// @param inMinAngle The pie will be drawn between [inMinAngle, inMaxAngle] (in radians).
/// @param inMaxAngle The pie will be drawn between [inMinAngle, inMaxAngle] (in radians).
/// @param inColor Color to use for drawing the pie.
/// @param inCastShadow determins if this geometry should cast a shadow or not.
/// @param inDrawMode determines if we draw the geometry solid or in wireframe.
void DrawPie(RVec3Arg inCenter, float inRadius, Vec3Arg inNormal, Vec3Arg inAxis, float inMinAngle, float inMaxAngle, ColorArg inColor, ECastShadow inCastShadow = ECastShadow::On, EDrawMode inDrawMode = EDrawMode::Solid);
/// Singleton instance
static DebugRenderer * sInstance;
/// Vertex format used by the triangle renderer
class Vertex
{
public:
Float3 mPosition;
Float3 mNormal;
Float2 mUV;
Color mColor;
};
/// A single triangle
class Triangle
{
public:
Triangle() = default;
Triangle(Vec3Arg inV1, Vec3Arg inV2, Vec3Arg inV3, ColorArg inColor);
Triangle(Vec3Arg inV1, Vec3Arg inV2, Vec3Arg inV3, ColorArg inColor, Vec3Arg inUVOrigin, Vec3Arg inUVDirection);
Vertex mV[3];
};
/// Handle for a batch of triangles
using Batch = Ref<RefTargetVirtual>;
/// A single level of detail
class LOD
{
public:
Batch mTriangleBatch;
float mDistance;
};
/// A geometry primitive containing triangle batches for various lods
class Geometry : public RefTarget<Geometry>
{
public:
JPH_OVERRIDE_NEW_DELETE
/// Constructor
Geometry(const AABox &inBounds) : mBounds(inBounds) { }
Geometry(const Batch &inBatch, const AABox &inBounds) : mBounds(inBounds) { mLODs.push_back({ inBatch, FLT_MAX }); }
/// All level of details for this mesh
Array<LOD> mLODs;
/// Bounding box that encapsulates all LODs
AABox mBounds;
};
/// Handle for a lodded triangle batch
using GeometryRef = Ref<Geometry>;
/// Calculate bounding box for a batch of triangles
static AABox sCalculateBounds(const Vertex *inVertices, int inVertexCount);
/// Create a batch of triangles that can be drawn efficiently
virtual Batch CreateTriangleBatch(const Triangle *inTriangles, int inTriangleCount) = 0;
virtual Batch CreateTriangleBatch(const Vertex *inVertices, int inVertexCount, const uint32 *inIndices, int inIndexCount) = 0;
Batch CreateTriangleBatch(const Array<Triangle> &inTriangles) { return CreateTriangleBatch(inTriangles.empty()? nullptr : &inTriangles[0], (int)inTriangles.size()); }
Batch CreateTriangleBatch(const Array<Vertex> &inVertices, const Array<uint32> &inIndices) { return CreateTriangleBatch(inVertices.empty()? nullptr : &inVertices[0], (int)inVertices.size(), inIndices.empty()? nullptr : &inIndices[0], (int)inIndices.size()); }
Batch CreateTriangleBatch(const VertexList &inVertices, const IndexedTriangleNoMaterialList &inTriangles);
/// Create a primitive for a convex shape using its support function
using SupportFunction = function<Vec3 (Vec3Arg inDirection)>;
Batch CreateTriangleBatchForConvex(SupportFunction inGetSupport, int inLevel, AABox *outBounds = nullptr);
GeometryRef CreateTriangleGeometryForConvex(SupportFunction inGetSupport);
/// Determines which polygons are culled
enum class ECullMode
{
CullBackFace, ///< Don't draw backfacing polygons
CullFrontFace, ///< Don't draw front facing polygons
Off ///< Don't do culling and draw both sides
};
/// Draw some geometry
/// @param inModelMatrix is the matrix that transforms the geometry to world space.
/// @param inWorldSpaceBounds is the bounding box of the geometry after transforming it into world space.
/// @param inLODScaleSq is the squared scale of the model matrix, it is multiplied with the LOD distances in inGeometry to calculate the real LOD distance (so a number > 1 will force a higher LOD).
/// @param inModelColor is the color with which to multiply the vertex colors in inGeometry.
/// @param inGeometry The geometry to draw.
/// @param inCullMode determines which polygons are culled.
/// @param inCastShadow determines if this geometry should cast a shadow or not.
/// @param inDrawMode determines if we draw the geometry solid or in wireframe.
virtual void DrawGeometry(RMat44Arg inModelMatrix, const AABox &inWorldSpaceBounds, float inLODScaleSq, ColorArg inModelColor, const GeometryRef &inGeometry, ECullMode inCullMode = ECullMode::CullBackFace, ECastShadow inCastShadow = ECastShadow::On, EDrawMode inDrawMode = EDrawMode::Solid) = 0;
void DrawGeometry(RMat44Arg inModelMatrix, ColorArg inModelColor, const GeometryRef &inGeometry, ECullMode inCullMode = ECullMode::CullBackFace, ECastShadow inCastShadow = ECastShadow::On, EDrawMode inDrawMode = EDrawMode::Solid) { DrawGeometry(inModelMatrix, inGeometry->mBounds.Transformed(inModelMatrix), max(max(inModelMatrix.GetAxisX().LengthSq(), inModelMatrix.GetAxisY().LengthSq()), inModelMatrix.GetAxisZ().LengthSq()), inModelColor, inGeometry, inCullMode, inCastShadow, inDrawMode); }
/// Draw text
virtual void DrawText3D(RVec3Arg inPosition, const string_view &inString, ColorArg inColor = Color::sWhite, float inHeight = 0.5f) = 0;
protected:
/// Initialize the system, must be called from the constructor of the DebugRenderer implementation
void Initialize();
private:
/// Recursive helper function for DrawWireUnitSphere
void DrawWireUnitSphereRecursive(RMat44Arg inMatrix, ColorArg inColor, Vec3Arg inDir1, Vec3Arg inDir2, Vec3Arg inDir3, int inLevel);
/// Helper functions to create a box
void CreateQuad(Array<uint32> &ioIndices, Array<Vertex> &ioVertices, Vec3Arg inV1, Vec3Arg inV2, Vec3Arg inV3, Vec3Arg inV4);
/// Helper functions to create a vertex and index buffer for a sphere
void Create8thSphereRecursive(Array<uint32> &ioIndices, Array<Vertex> &ioVertices, Vec3Arg inDir1, uint32 &ioIdx1, Vec3Arg inDir2, uint32 &ioIdx2, Vec3Arg inDir3, uint32 &ioIdx3, const Float2 &inUV, SupportFunction inGetSupport, int inLevel);
void Create8thSphere(Array<uint32> &ioIndices, Array<Vertex> &ioVertices, Vec3Arg inDir1, Vec3Arg inDir2, Vec3Arg inDir3, const Float2 &inUV, SupportFunction inGetSupport, int inLevel);
// Predefined shapes
GeometryRef mBox;
GeometryRef mSphere;
GeometryRef mCapsuleTop;
GeometryRef mCapsuleMid;
GeometryRef mCapsuleBottom;
GeometryRef mOpenCone;
GeometryRef mCylinder;
struct SwingLimits
{
bool operator == (const SwingLimits &inRHS) const { return mSwingYHalfAngle == inRHS.mSwingYHalfAngle && mSwingZHalfAngle == inRHS.mSwingZHalfAngle; }
float mSwingYHalfAngle;
float mSwingZHalfAngle;
};
JPH_MAKE_HASH_STRUCT(SwingLimits, SwingLimitsHasher, t.mSwingYHalfAngle, t.mSwingZHalfAngle)
using SwingBatches = UnorderedMap<SwingLimits, GeometryRef, SwingLimitsHasher>;
SwingBatches mSwingLimits;
using PieBatces = UnorderedMap<float, GeometryRef>;
PieBatces mPieLimits;
};
JPH_NAMESPACE_END
|
0 | repos/c2z/use_cases/JoltPhysics/include | repos/c2z/use_cases/JoltPhysics/include/Renderer/DebugRendererPlayback.h | // Jolt Physics Library (https://github.com/jrouwe/JoltPhysics)
// SPDX-FileCopyrightText: 2021 Jorrit Rouwe
// SPDX-License-Identifier: MIT
#pragma once
#ifndef JPH_DEBUG_RENDERER
#error This file should only be included when JPH_DEBUG_RENDERER is defined
#endif // !JPH_DEBUG_RENDERER
#include <Jolt/Renderer/DebugRendererRecorder.h>
#include <Jolt/Core/StreamIn.h>
#include <Jolt/Core/UnorderedMap.h>
JPH_NAMESPACE_BEGIN
/// Class that can read a recorded stream from DebugRendererRecorder and plays it back trough a DebugRenderer
class DebugRendererPlayback
{
public:
/// Constructor
DebugRendererPlayback(DebugRenderer &inRenderer) : mRenderer(inRenderer) { }
/// Parse a stream of frames
void Parse(StreamIn &inStream);
/// Get the number of parsed frames
uint GetNumFrames() const { return (uint)mFrames.size(); }
/// Draw a frame
void DrawFrame(uint inFrameNumber) const;
private:
/// The debug renderer we're using to do the actual rendering
DebugRenderer & mRenderer;
/// Mapping of ID to batch
UnorderedMap<uint32, DebugRenderer::Batch> mBatches;
/// Mapping of ID to geometry
UnorderedMap<uint32, DebugRenderer::GeometryRef> mGeometries;
/// The list of parsed frames
using Frame = DebugRendererRecorder::Frame;
Array<Frame> mFrames;
};
JPH_NAMESPACE_END
|
0 | repos/c2z/use_cases/JoltPhysics/include | repos/c2z/use_cases/JoltPhysics/include/Renderer/DebugRendererRecorder.h | // Jolt Physics Library (https://github.com/jrouwe/JoltPhysics)
// SPDX-FileCopyrightText: 2021 Jorrit Rouwe
// SPDX-License-Identifier: MIT
#pragma once
#ifndef JPH_DEBUG_RENDERER
#error This file should only be included when JPH_DEBUG_RENDERER is defined
#endif // !JPH_DEBUG_RENDERER
#include <Jolt/Renderer/DebugRenderer.h>
#include <Jolt/Core/StreamOut.h>
#include <Jolt/Core/Mutex.h>
#include <Jolt/Core/UnorderedMap.h>
JPH_NAMESPACE_BEGIN
/// Implementation of DebugRenderer that records the API invocations to be played back later
class DebugRendererRecorder final : public DebugRenderer
{
public:
JPH_OVERRIDE_NEW_DELETE
/// Constructor
DebugRendererRecorder(StreamOut &inStream) : mStream(inStream) { Initialize(); }
/// Implementation of DebugRenderer interface
virtual void DrawLine(RVec3Arg inFrom, RVec3Arg inTo, ColorArg inColor) override;
virtual void DrawTriangle(RVec3Arg inV1, RVec3Arg inV2, RVec3Arg inV3, ColorArg inColor) override;
virtual Batch CreateTriangleBatch(const Triangle *inTriangles, int inTriangleCount) override;
virtual Batch CreateTriangleBatch(const Vertex *inVertices, int inVertexCount, const uint32 *inIndices, int inIndexCount) override;
virtual void DrawGeometry(RMat44Arg inModelMatrix, const AABox &inWorldSpaceBounds, float inLODScaleSq, ColorArg inModelColor, const GeometryRef &inGeometry, ECullMode inCullMode, ECastShadow inCastShadow, EDrawMode inDrawMode) override;
virtual void DrawText3D(RVec3Arg inPosition, const string_view &inString, ColorArg inColor, float inHeight) override;
/// Mark the end of a frame
void EndFrame();
/// Control commands written into the stream
enum class ECommand : uint8
{
CreateBatch,
CreateBatchIndexed,
CreateGeometry,
EndFrame
};
/// Holds a single line segment
struct LineBlob
{
RVec3 mFrom;
RVec3 mTo;
Color mColor;
};
/// Holds a single triangle
struct TriangleBlob
{
RVec3 mV1;
RVec3 mV2;
RVec3 mV3;
Color mColor;
};
/// Holds a single text entry
struct TextBlob
{
TextBlob() = default;
TextBlob(RVec3Arg inPosition, const string_view &inString, ColorArg inColor, float inHeight) : mPosition(inPosition), mString(inString), mColor(inColor), mHeight(inHeight) { }
RVec3 mPosition;
String mString;
Color mColor;
float mHeight;
};
/// Holds a single geometry draw call
struct GeometryBlob
{
RMat44 mModelMatrix;
Color mModelColor;
uint32 mGeometryID;
ECullMode mCullMode;
ECastShadow mCastShadow;
EDrawMode mDrawMode;
};
/// All information for a single frame
struct Frame
{
Array<LineBlob> mLines;
Array<TriangleBlob> mTriangles;
Array<TextBlob> mTexts;
Array<GeometryBlob> mGeometries;
};
private:
/// Implementation specific batch object
class BatchImpl : public RefTargetVirtual
{
public:
JPH_OVERRIDE_NEW_DELETE
BatchImpl(uint32 inID) : mID(inID) { }
virtual void AddRef() override { ++mRefCount; }
virtual void Release() override { if (--mRefCount == 0) delete this; }
atomic<uint32> mRefCount = 0;
uint32 mID;
};
/// Lock that prevents concurrent access to the internal structures
Mutex mMutex;
/// Stream that recorded data will be sent to
StreamOut & mStream;
/// Next available ID
uint32 mNextBatchID = 1;
uint32 mNextGeometryID = 1;
/// Cached geometries and their IDs
UnorderedMap<GeometryRef, uint32> mGeometries;
/// Data that is being accumulated for the current frame
Frame mCurrentFrame;
};
JPH_NAMESPACE_END
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_transcoder_tables_bc7_m5_alpha.inc | {7,0,47},{7,0,44},{2,0,15},{2,0,12},{8,2,48},{0,0,0},{15,0,27},{15,1,24},{9,0,7},{15,1,24},{23,3,96},{6,0,3},{24,7,27},{24,7,24},{18,3,6},{18,5,4},{24,5,16},{21,1,6},{32,15,27},{32,15,24},{26,11,6},{26,13,4},{32,13,16},{22,3,1},{41,24,27},{41,24,24},{35,20,6},{35,22,4},{41,22,16},{31,12,1},{49,32,27},
{49,32,24},{43,28,6},{43,30,4},{49,30,16},{39,20,1},{57,40,27},{57,40,24},{51,36,6},{51,38,4},{57,38,16},{47,28,1},{65,48,27},{65,48,24},{59,44,6},{59,46,4},{65,46,16},{55,36,1},{74,57,27},{74,57,24},{68,53,6},{68,55,4},{74,55,16},{64,45,1},{82,65,27},{82,65,24},{76,61,6},{76,63,4},{82,63,16},{72,53,1},{90,73,27},{90,73,24},{84,69,6},
{84,71,4},{90,71,16},{80,61,1},{98,81,27},{98,81,24},{92,77,6},{92,79,4},{98,79,16},{88,69,1},{107,90,27},{107,90,24},{101,86,6},{101,88,4},{107,88,16},{97,78,1},{115,98,27},{115,98,24},{109,94,6},{109,96,4},{115,96,16},{105,86,1},{123,106,27},{123,106,24},{117,102,6},{117,104,4},{123,104,16},{113,94,1},{131,114,27},{131,114,24},{125,110,6},{125,112,4},{131,112,16},
{121,102,1},{140,123,27},{140,123,24},{134,119,6},{134,121,4},{140,121,16},{130,111,1},{148,131,27},{148,131,24},{142,127,6},{142,129,4},{148,129,16},{138,119,1},{156,139,27},{156,139,24},{150,135,6},{150,137,4},{156,137,16},{146,127,1},{164,147,27},{164,147,24},{158,143,6},{158,145,4},{164,145,16},{154,135,1},{173,156,27},{173,156,24},{167,152,6},{167,154,4},{173,154,16},{163,144,1},{181,164,27},
{181,164,24},{175,160,6},{175,162,4},{181,162,16},{171,152,1},{189,172,27},{189,172,24},{183,168,6},{183,170,4},{189,170,16},{179,160,1},{197,180,27},{197,180,24},{191,176,6},{191,178,4},{197,178,16},{187,168,1},{206,189,27},{206,189,24},{200,185,6},{200,187,4},{206,187,16},{196,177,1},{214,197,27},{214,197,24},{208,193,6},{208,195,4},{214,195,16},{204,185,1},{222,205,27},{222,205,24},{216,201,6},
{216,203,4},{222,203,16},{212,193,1},{230,213,27},{230,213,24},{224,209,6},{224,211,4},{230,211,16},{220,201,1},{239,222,27},{239,222,24},{233,218,6},{233,220,4},{239,220,16},{229,210,1},{247,230,27},{247,230,24},{241,226,6},{241,228,4},{247,228,16},{237,218,1},{255,238,27},{255,238,24},{249,234,6},{249,236,4},{255,236,16},{245,226,1},{255,247,7},{255,248,4},{255,247,7},{255,248,4},{255,0,0},
{253,234,1},{16,0,47},{16,0,44},{5,0,15},{5,0,12},{17,5,48},{0,0,0},{37,1,111},{36,2,108},{13,0,11},{13,3,12},{37,1,96},{3,0,3},{33,0,27},{33,0,24},{31,0,27},{31,1,24},{45,9,96},{11,0,3},{40,7,27},{41,8,24},{39,7,27},{29,0,4},{41,3,16},{19,1,2},{49,16,27},{50,17,24},{38,5,6},{38,6,4},{50,12,16},{40,4,6},{57,24,27},
{58,25,24},{46,13,6},{46,14,4},{58,20,16},{36,0,1},{65,32,27},{66,33,24},{54,21,6},{54,22,4},{66,28,16},{44,6,1},{73,40,27},{74,41,24},{62,29,6},{62,30,4},{74,36,16},{52,14,1},{82,49,27},{83,50,24},{71,38,6},{71,39,4},{83,45,16},{61,23,1},{90,57,27},{91,58,24},{79,46,6},{79,47,4},{91,53,16},{69,31,1},{98,65,27},{99,66,24},{87,54,6},
{87,55,4},{99,61,16},{77,39,1},{106,73,27},{107,74,24},{95,62,6},{95,63,4},{107,69,16},{85,47,1},{115,82,27},{116,83,24},{104,71,6},{104,72,4},{116,78,16},{94,56,1},{123,90,27},{124,91,24},{112,79,6},{112,80,4},{124,86,16},{102,64,1},{131,98,27},{132,99,24},{120,87,6},{120,88,4},{132,94,16},{110,72,1},{139,106,27},{140,107,24},{128,95,6},{128,96,4},{140,102,16},
{118,80,1},{148,115,27},{149,116,24},{137,104,6},{137,105,4},{149,111,16},{127,89,1},{156,123,27},{157,124,24},{145,112,6},{145,113,4},{157,119,16},{135,97,1},{164,131,27},{165,132,24},{153,120,6},{153,121,4},{165,127,16},{143,105,1},{172,139,27},{173,140,24},{161,128,6},{161,129,4},{173,135,16},{151,113,1},{181,148,27},{182,149,24},{170,137,6},{170,138,4},{182,144,16},{160,122,1},{189,156,27},
{190,157,24},{178,145,6},{178,146,4},{190,152,16},{168,130,1},{197,164,27},{198,165,24},{186,153,6},{186,154,4},{198,160,16},{176,138,1},{205,172,27},{206,173,24},{194,161,6},{194,162,4},{206,168,16},{184,146,1},{214,181,27},{215,182,24},{203,170,6},{203,171,4},{215,177,16},{193,155,1},{222,189,27},{223,190,24},{211,178,6},{211,179,4},{223,185,16},{201,163,1},{230,197,27},{231,198,24},{219,186,6},
{219,187,4},{231,193,16},{209,171,1},{238,205,27},{239,206,24},{227,194,6},{227,195,4},{239,201,16},{217,179,1},{247,214,27},{248,215,24},{236,203,6},{236,204,4},{248,210,16},{226,188,1},{255,222,27},{255,222,24},{244,211,6},{244,212,4},{255,220,16},{234,196,1},{254,218,6},{255,242,28},{252,219,6},{252,220,4},{255,245,16},{242,204,1},{255,238,7},{255,239,4},{255,238,7},{255,239,4},{255,0,0},
{250,212,1},{28,0,47},{28,0,44},{9,0,15},{9,0,12},{29,9,48},{0,0,0},{53,0,111},{53,0,108},{17,0,15},{17,0,12},{37,7,32},{0,0,0},{66,3,111},{63,7,108},{25,0,11},{25,7,12},{65,5,96},{7,0,3},{51,0,27},{71,15,108},{47,0,27},{33,6,8},{73,13,96},{15,0,3},{61,4,27},{80,24,108},{61,4,27},{60,6,24},{62,0,16},{24,4,3},{69,12,27},
{88,32,108},{69,12,27},{68,14,24},{70,8,16},{32,2,2},{77,20,27},{96,40,108},{58,2,6},{58,2,4},{78,16,16},{60,0,6},{85,28,27},{104,48,108},{66,10,6},{66,10,4},{86,24,16},{68,8,6},{94,37,27},{113,57,108},{75,19,6},{75,19,4},{95,33,16},{77,17,6},{102,45,27},{121,65,108},{83,27,6},{83,27,4},{103,41,16},{65,3,1},{110,53,27},{129,73,108},{91,35,6},
{91,35,4},{111,49,16},{73,11,1},{118,61,27},{137,81,108},{99,43,6},{99,43,4},{119,57,16},{81,19,1},{127,70,27},{146,90,108},{108,52,6},{108,52,4},{128,66,16},{90,28,1},{135,78,27},{154,98,108},{116,60,6},{116,60,4},{136,74,16},{98,36,1},{143,86,27},{162,106,108},{124,68,6},{124,68,4},{144,82,16},{106,44,1},{151,94,27},{170,114,108},{132,76,6},{132,76,4},{152,90,16},
{114,52,1},{160,103,27},{179,123,108},{141,85,6},{141,85,4},{161,99,16},{123,61,1},{168,111,27},{187,131,108},{149,93,6},{149,93,4},{169,107,16},{131,69,1},{176,119,27},{195,139,108},{157,101,6},{157,101,4},{177,115,16},{139,77,1},{184,127,27},{203,147,108},{165,109,6},{165,109,4},{185,123,16},{147,85,1},{193,136,27},{212,156,108},{174,118,6},{174,118,4},{194,132,16},{156,94,1},{201,144,27},
{220,164,108},{182,126,6},{182,126,4},{202,140,16},{164,102,1},{209,152,27},{228,172,108},{190,134,6},{190,134,4},{210,148,16},{172,110,1},{217,160,27},{236,180,108},{198,142,6},{198,142,4},{218,156,16},{180,118,1},{226,169,27},{245,189,108},{207,151,6},{207,151,4},{227,165,16},{189,127,1},{234,177,27},{253,197,108},{215,159,6},{215,159,4},{235,173,16},{197,135,1},{242,185,27},{243,186,24},{223,167,6},
{223,167,4},{243,181,16},{205,143,1},{250,193,27},{251,194,24},{231,175,6},{231,175,4},{251,189,16},{213,151,1},{255,203,27},{255,206,24},{240,184,6},{240,184,4},{255,208,16},{222,160,1},{251,188,6},{255,230,28},{248,192,6},{248,192,4},{255,233,16},{230,168,1},{255,200,6},{255,202,4},{255,200,6},{255,202,4},{255,0,0},{238,176,1},{255,226,7},{255,227,4},{255,226,7},{255,227,4},{255,0,0},
{246,184,1},{41,0,47},{41,0,44},{13,0,15},{13,0,12},{42,13,48},{0,0,0},{71,0,111},{71,0,108},{21,0,15},{21,0,12},{50,7,32},{0,0,0},{86,1,111},{85,2,108},{29,1,15},{29,3,12},{87,0,96},{3,0,3},{96,6,111},{93,10,108},{37,0,11},{37,11,12},{95,8,96},{11,0,3},{71,0,27},{102,19,108},{68,0,27},{46,7,8},{104,17,96},{20,0,3},{82,0,27},
{110,27,108},{81,0,27},{80,2,24},{112,25,96},{28,0,3},{91,7,27},{118,35,108},{91,7,27},{88,10,24},{91,2,16},{36,7,3},{99,15,27},{126,43,108},{99,15,27},{96,18,24},{99,10,16},{44,1,2},{108,24,27},{135,52,108},{108,24,27},{79,0,4},{108,19,16},{53,10,2},{116,32,27},{143,60,108},{87,5,6},{87,7,4},{116,27,16},{90,3,6},{124,40,27},{151,68,108},{95,13,6},
{95,15,4},{124,35,16},{98,11,6},{132,48,27},{159,76,108},{103,21,6},{103,23,4},{132,43,16},{106,19,6},{141,57,27},{168,85,108},{112,30,6},{112,32,4},{141,52,16},{115,28,6},{149,65,27},{176,93,108},{120,38,6},{120,40,4},{149,60,16},{94,5,1},{157,73,27},{184,101,108},{128,46,6},{128,48,4},{157,68,16},{102,13,1},{165,81,27},{192,109,108},{136,54,6},{136,56,4},{165,76,16},
{110,21,1},{174,90,27},{201,118,108},{145,63,6},{145,65,4},{174,85,16},{119,30,1},{182,98,27},{209,126,108},{153,71,6},{153,73,4},{182,93,16},{127,38,1},{190,106,27},{217,134,108},{161,79,6},{161,81,4},{190,101,16},{135,46,1},{198,114,27},{225,142,108},{169,87,6},{169,89,4},{198,109,16},{143,54,1},{207,123,27},{234,151,108},{178,96,6},{178,98,4},{207,118,16},{152,63,1},{215,131,27},
{242,159,108},{186,104,6},{186,106,4},{215,126,16},{160,71,1},{223,139,27},{250,167,108},{194,112,6},{194,114,4},{223,134,16},{168,79,1},{231,147,27},{231,147,24},{202,120,6},{202,122,4},{231,142,16},{176,87,1},{240,156,27},{240,156,24},{211,129,6},{211,131,4},{240,151,16},{185,96,1},{248,164,27},{248,164,24},{219,137,6},{219,139,4},{248,159,16},{193,104,1},{254,173,27},{255,174,24},{227,145,6},
{227,147,4},{255,169,16},{201,112,1},{255,182,27},{255,187,24},{235,153,6},{235,155,4},{255,193,16},{209,120,1},{249,159,6},{255,218,28},{244,162,6},{244,164,4},{255,220,16},{218,129,1},{254,169,6},{254,168,4},{252,170,6},{252,172,4},{255,245,16},{226,137,1},{255,184,6},{255,190,4},{255,184,6},{255,190,4},{255,0,0},{234,145,1},{255,213,7},{255,214,4},{255,213,7},{255,214,4},{255,0,0},
{242,153,1},{59,0,47},{59,0,44},{18,0,15},{18,0,12},{60,18,48},{0,0,0},{69,0,47},{68,2,44},{26,0,15},{26,0,12},{68,5,32},{0,0,0},{111,0,111},{111,0,108},{34,0,15},{34,0,12},{76,13,32},{0,0,0},{123,3,111},{122,5,108},{42,3,15},{42,6,12},{125,1,96},{6,0,3},{135,8,111},{131,14,108},{50,0,11},{51,15,12},{134,10,96},{15,0,3},{95,0,27},
{139,22,108},{59,2,11},{59,5,8},{142,18,96},{23,0,3},{105,0,27},{147,30,108},{99,0,27},{67,13,8},{150,26,96},{31,0,3},{115,0,27},{155,38,108},{113,1,27},{110,4,24},{158,34,96},{39,0,3},{125,7,27},{164,47,108},{125,7,27},{119,13,24},{167,43,96},{48,6,3},{133,15,27},{172,55,108},{133,15,27},{127,21,24},{134,5,16},{56,14,3},{141,23,27},{180,63,108},{141,23,27},
{135,29,24},{142,13,16},{64,1,2},{149,31,27},{188,71,108},{149,31,27},{143,37,24},{150,21,16},{72,9,2},{158,40,27},{197,80,108},{118,1,6},{117,6,4},{159,30,16},{120,0,6},{166,48,27},{205,88,108},{126,9,6},{125,14,4},{167,38,16},{130,6,6},{174,56,27},{213,96,108},{134,17,6},{133,22,4},{175,46,16},{138,14,6},{182,64,27},{221,104,108},{142,25,6},{141,30,4},{183,54,16},
{146,22,6},{191,73,27},{230,113,108},{151,34,6},{150,39,4},{192,63,16},{155,31,6},{199,81,27},{238,121,108},{159,42,6},{158,47,4},{200,71,16},{163,39,6},{207,89,27},{246,129,108},{167,50,6},{166,55,4},{208,79,16},{130,1,1},{215,97,27},{254,137,108},{175,58,6},{174,63,4},{216,87,16},{138,9,1},{224,106,27},{224,106,24},{184,67,6},{183,72,4},{225,96,16},{147,18,1},{232,114,27},
{232,114,24},{192,75,6},{191,80,4},{233,104,16},{155,26,1},{240,122,27},{240,122,24},{200,83,6},{199,88,4},{241,112,16},{163,34,1},{248,130,27},{248,130,24},{208,91,6},{207,96,4},{249,120,16},{171,42,1},{255,140,27},{254,142,24},{217,100,6},{216,105,4},{255,135,16},{180,51,1},{255,149,27},{255,156,24},{225,108,6},{224,113,4},{255,159,16},{188,59,1},{255,159,27},{253,196,28},{233,116,6},
{232,121,4},{255,184,16},{196,67,1},{247,120,6},{255,205,28},{241,124,6},{240,129,4},{255,208,16},{204,75,1},{252,132,6},{252,132,4},{250,133,6},{249,138,4},{255,236,16},{213,84,1},{255,144,6},{255,150,4},{255,144,6},{255,150,4},{255,0,0},{221,92,1},{254,185,7},{255,175,4},{253,187,7},{255,175,4},{255,0,0},{229,100,1},{255,196,7},{255,199,4},{255,196,7},{255,199,4},{255,0,0},
{237,108,1},{80,0,47},{80,0,44},{24,0,15},{24,0,12},{80,24,48},{0,0,0},{88,1,47},{88,1,44},{32,0,15},{32,0,12},{88,4,32},{0,0,0},{138,0,111},{138,0,108},{40,0,15},{40,0,12},{96,12,32},{0,0,0},{153,0,111},{153,0,108},{48,0,15},{48,0,12},{104,20,32},{0,0,0},{166,4,111},{164,8,108},{57,4,15},{57,9,12},{167,3,96},{9,0,3},{176,9,111},
{172,16,108},{65,0,11},{65,17,12},{175,11,96},{17,0,3},{189,13,111},{180,24,108},{73,0,11},{73,1,8},{183,19,96},{25,0,3},{129,0,27},{188,32,108},{83,2,11},{81,9,8},{191,27,96},{33,0,3},{141,0,27},{197,41,108},{132,0,27},{90,18,8},{200,36,96},{42,0,3},{151,0,27},{205,49,108},{148,0,27},{145,3,24},{208,44,96},{50,0,3},{160,3,27},{213,57,108},{160,3,27},
{153,11,24},{216,52,96},{58,2,3},{168,11,27},{221,65,108},{168,11,27},{161,19,24},{170,0,16},{66,10,3},{177,20,27},{230,74,108},{177,20,27},{170,28,24},{179,7,16},{75,19,3},{185,28,27},{238,82,108},{185,28,27},{178,36,24},{187,15,16},{83,0,2},{193,36,27},{246,90,108},{193,36,27},{186,44,24},{195,23,16},{91,7,2},{201,44,27},{254,98,108},{201,44,27},{147,0,4},{203,31,16},
{99,15,2},{210,53,27},{211,54,24},{157,1,6},{156,9,4},{212,40,16},{108,24,2},{218,61,27},{219,62,24},{165,9,6},{164,17,4},{220,48,16},{170,6,6},{226,69,27},{227,70,24},{173,17,6},{172,25,4},{228,56,16},{178,14,6},{234,77,27},{235,78,24},{181,25,6},{180,33,4},{236,64,16},{186,22,6},{243,86,27},{244,87,24},{190,34,6},{189,42,4},{245,73,16},{195,31,6},{251,94,27},
{252,95,24},{198,42,6},{197,50,4},{253,81,16},{203,39,6},{255,104,27},{255,107,24},{206,50,6},{205,58,4},{255,102,16},{211,47,6},{255,113,27},{255,123,24},{214,58,6},{213,66,4},{255,126,16},{219,55,6},{255,126,27},{253,172,28},{223,67,6},{222,75,4},{255,153,16},{174,2,1},{242,66,6},{254,182,28},{231,75,6},{230,83,4},{255,178,16},{182,10,1},{246,79,6},{255,190,28},{239,83,6},
{238,91,4},{255,202,16},{190,18,1},{251,89,6},{251,88,4},{247,91,6},{246,99,4},{255,227,16},{198,26,1},{255,102,6},{255,108,4},{255,102,6},{255,108,4},{255,0,0},{207,35,1},{255,117,6},{255,132,4},{255,117,6},{255,132,4},{255,0,0},{215,43,1},{254,167,7},{255,156,4},{254,167,7},{255,156,4},{255,0,0},{223,51,1},{255,175,7},{255,181,4},{255,175,7},{255,181,4},{255,0,0},
{231,59,1},{105,0,47},{105,0,44},{33,0,15},{33,0,12},{106,33,48},{0,0,0},{115,0,47},{114,2,44},{41,0,15},{41,0,12},{114,5,32},{0,0,0},{123,2,47},{124,3,44},{49,0,15},{49,0,12},{122,13,32},{0,0,0},{190,0,111},{190,0,108},{57,0,15},{57,0,12},{130,21,32},{0,0,0},{205,0,111},{205,0,108},{66,0,15},{66,0,12},{139,30,32},{0,0,0},{217,4,111},
{215,7,108},{74,4,15},{74,8,12},{218,3,96},{8,0,3},{229,8,111},{223,15,108},{80,0,11},{82,16,12},{226,11,96},{16,0,3},{237,13,111},{231,23,108},{89,0,11},{90,24,12},{234,19,96},{24,0,3},{251,17,111},{240,32,108},{99,0,11},{99,1,8},{243,28,96},{33,0,3},{169,0,27},{248,40,108},{108,2,11},{107,9,8},{251,36,96},{41,0,3},{181,0,27},{254,49,108},{166,0,27},
{115,17,8},{188,79,32},{49,0,3},{190,0,27},{255,59,108},{181,0,27},{123,25,8},{196,87,32},{57,0,3},{203,0,27},{203,0,24},{197,0,27},{196,2,24},{205,96,32},{66,0,3},{213,1,27},{212,3,24},{211,2,27},{204,10,24},{213,104,32},{74,1,3},{221,9,27},{220,11,24},{219,10,27},{212,18,24},{221,0,16},{82,9,3},{229,17,27},{228,19,24},{227,18,27},{220,26,24},{229,5,16},
{90,17,3},{238,26,27},{237,28,24},{236,27,27},{229,35,24},{238,14,16},{99,26,3},{246,34,27},{245,36,24},{244,35,27},{237,43,24},{246,22,16},{107,34,3},{254,42,27},{253,44,24},{252,43,27},{245,51,24},{254,30,16},{115,6,2},{255,52,27},{255,58,24},{255,52,27},{253,59,24},{255,53,16},{123,14,2},{255,64,27},{255,74,24},{196,0,6},{198,100,8},{255,80,16},{132,23,2},{255,74,27},
{255,89,24},{206,1,6},{206,4,4},{255,105,16},{140,31,2},{255,86,27},{253,147,28},{215,7,6},{214,12,4},{255,129,16},{219,4,6},{255,95,27},{255,155,28},{223,15,6},{222,20,4},{255,153,16},{227,12,6},{242,17,6},{255,166,28},{232,24,6},{231,29,4},{255,181,16},{236,21,6},{247,26,6},{255,175,28},{240,32,6},{239,37,4},{255,205,16},{244,29,6},{251,38,6},{251,37,4},{248,40,6},
{247,45,4},{255,230,16},{252,37,6},{255,50,6},{255,53,4},{255,50,6},{255,53,4},{255,0,0},{189,80,2},{255,65,6},{255,80,4},{255,65,6},{255,80,4},{255,0,0},{198,89,2},{252,131,7},{255,105,4},{252,131,7},{255,105,4},{255,0,0},{206,97,2},{254,139,7},{255,129,4},{253,141,7},{255,129,4},{255,0,0},{214,105,2},{255,150,7},{255,153,4},{255,150,7},{255,153,4},{255,0,0},
{222,0,1},{181,0,47},{178,0,44},{47,0,15},{47,0,12},{183,47,48},{0,0,0},{190,0,47},{190,0,44},{55,0,15},{55,0,12},{191,55,48},{0,0,0},{199,0,47},{199,0,44},{63,0,15},{63,0,12},{199,63,48},{0,0,0},{207,0,47},{207,1,44},{71,0,15},{71,0,12},{207,4,32},{0,0,0},{216,1,47},{218,3,44},{80,0,15},{80,0,12},{216,13,32},{0,0,0},{225,1,47},
{227,6,44},{88,0,15},{88,0,12},{224,21,32},{0,0,0},{233,2,47},{235,11,44},{96,1,15},{96,2,12},{232,29,32},{2,0,3},{241,4,47},{243,19,44},{104,5,15},{104,10,12},{240,37,32},{10,0,3},{251,5,47},{252,28,44},{113,9,15},{113,19,12},{249,46,32},{19,0,3},{255,9,47},{255,37,44},{117,0,11},{121,27,12},{255,55,32},{27,0,3},{255,9,47},{255,46,44},{126,0,11},
{129,35,12},{255,67,32},{35,0,3},{248,0,27},{255,55,44},{137,0,11},{137,43,12},{255,79,32},{43,0,3},{250,0,27},{255,64,44},{147,2,11},{146,6,8},{255,93,32},{52,0,3},{251,0,27},{255,73,44},{155,4,11},{154,14,8},{255,104,32},{60,0,3},{253,0,27},{248,0,24},{233,0,27},{162,22,8},{255,116,32},{68,0,3},{254,0,27},{254,0,24},{248,0,27},{170,30,8},{255,128,32},
{76,0,3},{255,1,27},{255,7,24},{255,1,27},{179,39,8},{255,22,16},{85,0,3},{255,2,27},{255,22,24},{255,7,27},{187,47,8},{255,47,16},{93,0,3},{255,4,27},{251,100,28},{182,0,7},{195,55,8},{255,71,16},{101,0,3},{255,4,27},{253,108,28},{191,0,7},{203,63,8},{255,95,16},{109,0,3},{255,7,27},{255,118,28},{200,0,7},{212,72,8},{255,123,16},{118,0,3},{246,0,7},
{255,129,28},{209,0,7},{220,80,8},{255,147,16},{126,0,3},{246,0,7},{255,138,28},{218,0,7},{228,88,8},{255,172,16},{134,0,3},{249,3,7},{245,91,8},{228,3,7},{236,96,8},{255,196,16},{142,6,3},{251,14,7},{250,102,8},{237,12,7},{245,105,8},{255,223,16},{151,15,3},{253,22,7},{254,112,8},{245,20,7},{253,113,8},{255,248,16},{159,23,3},{253,31,7},{255,124,8},{249,28,7},
{255,124,8},{255,0,0},{167,31,3},{254,39,7},{255,10,4},{252,37,7},{255,10,4},{255,0,0},{175,39,3},{255,48,7},{255,38,4},{254,48,7},{255,38,4},{255,0,0},{184,48,3},{255,56,7},{255,62,4},{255,56,7},{255,62,4},{255,0,0},{192,56,3},{255,65,7},{255,86,4},{255,65,7},{255,86,4},{255,0,0},{200,64,3},{255,74,7},{255,111,4},{255,77,7},{255,111,4},{255,0,0},
{208,5,2},
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_transcoder_tables_dxt1_6.inc | // Copyright (C) 2017-2019 Binomial LLC. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
{0,4,18},{0,3,4},{0,2,0},{0,2,9},{0,3,36},{0,2,22},{0,2,13},{0,1,24},{0,1,41},{0,1,25},{0,4,18},{0,3,4},{0,2,0},{0,2,9},{1,1,36},{0,2,22},{0,2,13},{0,1,24},{3,0,36},{0,1,24},{0,2,0},{0,2,0},{0,2,0},{0,1,0},{0,1,2},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,2,0},
{0,2,0},{0,2,0},{0,1,0},{0,1,2},{0,1,1},{0,1,1},{0,0,4},{1,0,2},{0,0,4},{2,0,18},{0,3,4},{0,2,0},{0,2,9},{2,0,18},{4,0,18},{0,2,9},{0,1,20},{4,0,18},{0,1,20},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,8,38},{1,6,21},{1,4,24},
{1,4,24},{0,8,52},{0,5,18},{0,4,1},{0,3,24},{0,4,77},{0,3,40},{2,6,22},{1,6,5},{2,4,4},{1,4,8},{4,0,52},{0,5,18},{0,4,1},{0,3,24},{8,0,52},{0,3,24},{1,6,20},{1,6,20},{1,6,20},{1,3,21},{0,6,8},{0,4,1},{0,4,1},{0,2,5},{0,3,24},{0,2,9},{2,4,4},{2,4,4},{2,4,4},{2,3,4},{3,0,8},
{1,3,1},{1,3,1},{1,2,4},{6,0,8},{1,2,4},{5,0,18},{1,6,1},{2,4,0},{0,4,0},{5,0,18},{10,0,18},{0,4,0},{0,3,20},{10,0,18},{0,3,20},{1,0,20},{1,0,20},{1,0,20},{1,0,20},{0,5,0},{0,5,0},{0,5,0},{0,2,1},{0,2,5},{0,2,5},{3,10,38},{3,8,21},{3,6,24},{3,6,24},{2,10,52},{2,7,18},{2,6,1},
{2,5,24},{0,7,53},{1,5,21},{4,8,22},{3,8,5},{4,6,4},{3,6,8},{7,0,52},{2,7,18},{2,6,1},{1,5,20},{14,0,52},{1,5,20},{3,8,20},{3,8,20},{3,8,20},{3,5,21},{2,8,8},{2,6,1},{2,6,1},{2,4,5},{0,6,8},{1,5,5},{4,6,4},{4,6,4},{4,6,4},{4,5,4},{6,0,8},{3,5,1},{3,5,1},{3,4,4},{12,0,8},
{3,4,4},{8,0,18},{3,8,1},{4,6,0},{2,6,0},{8,0,18},{16,0,18},{2,6,0},{0,5,20},{16,0,18},{0,5,20},{3,0,20},{3,0,20},{3,0,20},{3,0,20},{2,7,0},{2,7,0},{2,7,0},{2,4,1},{1,5,1},{1,5,1},{5,12,38},{5,10,21},{5,8,24},{5,8,24},{4,12,52},{4,9,18},{4,8,1},{4,7,24},{2,9,53},{3,7,21},{6,10,22},
{5,10,5},{6,8,4},{5,8,8},{2,16,51},{4,9,18},{4,8,1},{3,7,20},{20,0,51},{3,7,20},{5,10,20},{5,10,20},{5,10,20},{5,7,21},{4,10,8},{4,8,1},{4,8,1},{4,6,5},{2,8,8},{3,7,5},{6,8,4},{6,8,4},{6,8,4},{6,7,4},{9,0,8},{5,7,1},{5,7,1},{5,6,4},{18,0,8},{5,6,4},{11,0,18},{5,10,1},{6,8,0},
{4,8,0},{11,0,18},{22,0,18},{4,8,0},{0,7,20},{22,0,18},{0,7,20},{5,0,20},{5,0,20},{5,0,20},{5,0,20},{4,9,0},{4,9,0},{4,9,0},{4,6,1},{3,7,1},{3,7,1},{7,15,36},{7,12,19},{7,10,28},{7,10,20},{6,15,52},{6,11,22},{6,10,7},{6,9,28},{3,12,52},{5,9,27},{8,13,19},{8,11,3},{8,10,3},{8,10,6},{13,1,51},
{6,11,21},{7,10,3},{5,9,27},{27,0,51},{5,9,27},{7,12,19},{7,12,19},{7,12,19},{7,10,19},{6,13,9},{6,10,6},{6,10,6},{6,9,3},{5,10,9},{5,9,2},{8,10,2},{8,10,2},{8,10,2},{8,9,2},{12,1,8},{7,10,2},{7,10,2},{5,9,2},{25,0,8},{5,9,2},{14,1,18},{7,12,1},{8,10,2},{6,10,2},{14,1,18},{15,7,18},{6,10,2},
{0,9,26},{15,7,18},{0,9,26},{7,0,18},{7,0,18},{7,0,18},{7,0,18},{6,11,2},{6,11,2},{6,11,2},{6,9,2},{5,9,1},{5,9,1},{9,16,38},{9,14,19},{9,12,28},{9,12,20},{8,17,52},{8,13,22},{8,12,7},{8,11,28},{5,14,52},{7,11,27},{10,15,19},{10,13,3},{10,12,3},{10,12,6},{16,1,51},{8,13,21},{9,12,3},{7,11,27},{33,0,51},
{7,11,27},{9,14,19},{9,14,19},{9,14,19},{9,12,19},{8,15,9},{8,12,6},{8,12,6},{8,11,3},{7,12,9},{7,11,2},{10,12,2},{10,12,2},{10,12,2},{10,11,2},{15,1,8},{9,12,2},{9,12,2},{7,11,2},{31,0,8},{7,11,2},{17,0,18},{9,14,1},{10,12,2},{8,12,2},{17,0,18},{34,0,18},{8,12,2},{0,11,26},{34,0,18},{0,11,26},{9,0,18},
{9,0,18},{9,0,18},{9,0,18},{8,13,2},{8,13,2},{8,13,2},{8,11,2},{7,11,1},{7,11,1},{11,18,38},{11,16,19},{11,14,28},{11,14,20},{10,19,52},{10,15,22},{10,14,7},{10,13,28},{7,16,52},{9,13,27},{12,16,21},{12,15,3},{12,14,3},{12,14,6},{19,1,51},{10,15,21},{11,14,3},{9,13,27},{39,0,51},{9,13,27},{11,16,18},{11,16,18},{11,16,18},
{11,14,19},{10,17,9},{10,14,6},{10,14,6},{10,13,3},{9,14,9},{9,13,2},{12,14,2},{12,14,2},{12,14,2},{12,13,2},{15,7,8},{11,14,2},{11,14,2},{9,13,2},{31,3,8},{9,13,2},{20,0,18},{11,16,1},{12,14,2},{10,14,2},{20,0,18},{40,0,18},{10,14,2},{0,13,26},{40,0,18},{0,13,26},{11,0,18},{11,0,18},{11,0,18},{11,0,18},{10,15,2},
{10,15,2},{10,15,2},{10,13,2},{9,13,1},{9,13,1},{13,20,38},{13,18,19},{13,16,27},{13,16,19},{12,21,52},{12,17,19},{12,16,5},{12,15,28},{10,17,52},{11,15,27},{14,18,21},{14,17,3},{14,16,1},{13,16,10},{22,1,51},{12,17,18},{13,16,2},{11,15,27},{45,0,51},{11,15,27},{13,18,18},{13,18,18},{13,18,18},{13,16,19},{12,19,9},{12,16,5},{12,16,5},
{12,15,3},{10,16,11},{11,15,2},{14,16,1},{14,16,1},{14,16,1},{14,15,2},{15,13,8},{13,16,2},{13,16,2},{11,15,2},{31,6,8},{11,15,2},{23,0,18},{13,18,1},{14,16,0},{12,16,0},{23,0,18},{46,0,18},{12,16,0},{0,15,26},{46,0,18},{0,15,26},{13,0,18},{13,0,18},{13,0,18},{13,0,18},{12,17,1},{12,17,1},{12,17,1},{12,15,2},{11,15,1},
{11,15,1},{15,23,38},{15,20,21},{15,18,37},{15,18,21},{15,22,55},{15,19,23},{15,18,5},{14,17,30},{13,19,56},{13,17,28},{16,21,19},{16,19,3},{16,18,3},{16,18,6},{17,17,51},{15,19,19},{15,18,1},{14,17,26},{51,0,51},{14,17,26},{15,21,20},{15,21,20},{15,21,20},{15,18,20},{15,19,14},{15,18,4},{15,18,4},{14,17,5},{13,18,9},{13,17,3},{16,18,2},
{16,18,2},{16,18,2},{16,17,2},{24,1,8},{15,18,0},{15,18,0},{14,17,1},{49,0,8},{14,17,1},{26,1,18},{15,20,1},{16,18,2},{15,18,1},{26,1,18},{53,0,18},{15,18,1},{0,17,26},{53,0,18},{0,17,26},{15,0,20},{15,0,20},{15,0,20},{15,0,20},{15,18,4},{15,18,4},{15,18,4},{14,17,4},{13,17,2},{13,17,2},{17,25,36},{17,22,19},{17,20,28},
{17,20,20},{16,25,52},{16,21,22},{16,20,7},{16,19,28},{15,21,56},{15,19,28},{18,23,19},{18,21,3},{18,20,3},{18,20,6},{20,17,51},{16,21,21},{17,20,3},{14,20,26},{57,0,51},{14,20,26},{17,22,19},{17,22,19},{17,22,19},{17,20,19},{16,23,9},{16,20,6},{16,20,6},{16,19,3},{15,20,9},{15,19,3},{18,20,2},{18,20,2},{18,20,2},{18,19,2},{27,1,8},
{17,20,2},{17,20,2},{15,19,2},{55,0,8},{15,19,2},{29,1,18},{17,22,1},{18,20,2},{16,20,2},{29,1,18},{59,0,18},{16,20,2},{0,19,26},{59,0,18},{0,19,26},{17,0,18},{17,0,18},{17,0,18},{17,0,18},{16,21,2},{16,21,2},{16,21,2},{16,19,2},{15,19,2},{15,19,2},{19,27,36},{19,24,19},{19,22,28},{19,22,20},{18,27,52},{18,23,22},{18,22,7},
{18,21,28},{15,24,56},{17,21,27},{20,25,19},{20,23,3},{20,22,3},{20,22,6},{23,17,51},{18,23,21},{19,22,3},{17,21,27},{63,0,51},{17,21,27},{19,24,19},{19,24,19},{19,24,19},{19,22,19},{18,25,9},{18,22,6},{18,22,6},{18,21,3},{17,22,9},{17,21,2},{20,22,2},{20,22,2},{20,22,2},{20,21,2},{30,1,8},{19,22,2},{19,22,2},{17,21,2},{61,0,8},
{17,21,2},{31,3,18},{19,24,1},{20,22,2},{18,22,2},{31,3,18},{63,1,18},{18,22,2},{0,21,26},{63,1,18},{0,21,26},{19,0,18},{19,0,18},{19,0,18},{19,0,18},{18,23,2},{18,23,2},{18,23,2},{18,21,2},{17,21,1},{17,21,1},{21,29,36},{21,26,19},{21,24,28},{21,24,20},{20,29,52},{20,25,22},{20,24,7},{20,23,28},{17,26,52},{19,23,27},{22,27,19},
{22,25,3},{22,24,3},{22,24,6},{34,1,51},{20,25,21},{21,24,3},{19,23,27},{63,3,51},{19,23,27},{21,26,19},{21,26,19},{21,26,19},{21,24,19},{20,27,9},{20,24,6},{20,24,6},{20,23,3},{19,24,9},{19,23,2},{22,24,2},{22,24,2},{22,24,2},{22,23,2},{33,1,8},{21,24,2},{21,24,2},{19,23,2},{63,2,8},{19,23,2},{31,9,18},{21,26,1},{22,24,2},
{20,24,2},{31,9,18},{63,4,18},{20,24,2},{0,23,26},{63,4,18},{0,23,26},{21,0,18},{21,0,18},{21,0,18},{21,0,18},{20,25,2},{20,25,2},{20,25,2},{20,23,2},{19,23,1},{19,23,1},{23,31,40},{23,29,24},{23,27,33},{23,26,24},{23,30,55},{22,28,24},{23,26,8},{22,26,28},{20,28,51},{21,26,21},{24,29,20},{24,28,1},{24,27,4},{24,26,5},{38,0,51},
{22,28,20},{23,26,4},{20,26,20},{62,7,51},{20,26,20},{23,29,20},{23,29,20},{23,29,20},{23,26,20},{23,28,12},{23,26,4},{23,26,4},{22,25,4},{20,27,9},{22,25,4},{24,27,0},{24,27,0},{24,27,0},{24,26,1},{31,12,8},{23,26,0},{23,26,0},{22,25,0},{62,6,8},{22,25,0},{38,1,18},{24,28,1},{24,27,4},{23,26,4},{38,1,18},{45,16,18},{23,26,4},
{0,26,20},{45,16,18},{0,26,20},{23,0,20},{23,0,20},{23,0,20},{23,0,20},{23,26,4},{23,26,4},{23,26,4},{22,25,4},{21,26,1},{21,26,1},{25,33,38},{25,31,24},{25,29,33},{25,28,24},{25,32,55},{24,30,24},{25,28,8},{24,28,28},{22,30,51},{23,28,21},{26,31,20},{26,30,1},{26,29,4},{26,28,5},{41,0,51},{24,30,20},{25,28,4},{22,28,20},{62,10,51},
{22,28,20},{25,31,20},{25,31,20},{25,31,20},{25,28,20},{25,30,12},{25,28,4},{25,28,4},{24,27,4},{22,29,9},{24,27,4},{26,29,0},{26,29,0},{26,29,0},{26,28,1},{31,18,8},{25,28,0},{25,28,0},{24,27,0},{62,9,8},{24,27,0},{41,1,18},{26,30,1},{26,29,4},{25,28,4},{41,1,18},{51,16,18},{25,28,4},{0,28,20},{51,16,18},{0,28,20},{25,0,20},
{25,0,20},{25,0,20},{25,0,20},{25,28,4},{25,28,4},{25,28,4},{24,27,4},{23,28,1},{23,28,1},{27,35,38},{27,32,21},{27,31,33},{27,30,24},{27,34,55},{26,32,24},{27,30,8},{26,30,28},{25,31,56},{25,30,21},{28,33,18},{28,32,2},{28,31,4},{28,30,5},{44,0,51},{26,32,20},{27,30,4},{24,30,20},{62,13,51},{24,30,20},{27,33,20},{27,33,20},{27,33,20},
{27,30,20},{27,31,14},{27,30,4},{27,30,4},{26,29,4},{24,31,9},{26,29,4},{28,31,0},{28,31,0},{28,31,0},{28,30,1},{34,17,8},{27,30,0},{27,30,0},{26,29,0},{62,12,8},{26,29,0},{44,1,18},{27,32,1},{28,31,4},{27,30,4},{44,1,18},{57,16,18},{27,30,4},{0,30,20},{57,16,18},{0,30,20},{27,0,20},{27,0,20},{27,0,20},{27,0,20},{27,30,4},
{27,30,4},{27,30,4},{26,29,4},{25,30,1},{25,30,1},{29,37,38},{29,34,21},{29,32,37},{29,32,21},{29,36,55},{29,33,23},{29,32,5},{28,32,39},{27,33,56},{26,32,30},{30,35,18},{30,34,2},{30,32,2},{30,32,5},{47,0,51},{29,33,19},{29,32,1},{26,32,26},{46,24,51},{26,32,26},{29,35,20},{29,35,20},{29,35,20},{29,32,20},{29,33,14},{29,32,4},{29,32,4},
{28,31,4},{27,32,9},{28,31,4},{30,33,0},{30,33,0},{30,33,0},{30,31,4},{37,17,8},{29,32,0},{29,32,0},{28,31,0},{62,15,8},{28,31,0},{47,1,18},{29,34,1},{30,32,2},{29,32,1},{47,1,18},{63,16,18},{29,32,1},{0,32,26},{63,16,18},{0,32,26},{29,0,20},{29,0,20},{29,0,20},{29,0,20},{29,32,4},{29,32,4},{29,32,4},{28,31,4},{28,31,4},
{28,31,4},{31,40,44},{31,37,28},{32,35,40},{31,34,31},{31,38,53},{31,35,21},{31,34,7},{31,34,30},{28,36,51},{29,34,21},{32,37,20},{32,36,1},{32,35,4},{32,34,5},{50,0,51},{30,36,19},{31,34,6},{28,34,21},{62,19,51},{28,34,21},{31,38,26},{31,38,26},{31,38,26},{31,34,27},{31,36,9},{31,34,3},{31,34,3},{31,33,2},{29,34,10},{30,33,2},{32,35,0},
{32,35,0},{32,35,0},{32,34,1},{49,0,8},{31,34,2},{31,34,2},{30,33,1},{62,18,8},{30,33,1},{47,8,18},{32,36,1},{32,35,4},{31,34,5},{47,8,18},{62,20,18},{31,34,5},{0,34,20},{62,20,18},{0,34,20},{31,0,26},{31,0,26},{31,0,26},{31,0,26},{31,35,1},{31,35,1},{31,35,1},{31,33,2},{29,34,1},{29,34,1},{33,41,40},{33,39,24},{33,37,33},
{33,36,24},{33,40,55},{32,38,24},{33,36,8},{32,36,28},{30,38,51},{31,36,21},{34,39,20},{34,38,1},{34,37,4},{34,36,5},{53,0,51},{32,38,20},{33,36,4},{30,36,21},{62,22,51},{30,36,21},{33,39,20},{33,39,20},{33,39,20},{33,36,20},{33,38,12},{33,36,4},{33,36,4},{32,35,4},{31,36,10},{32,35,4},{34,37,0},{34,37,0},{34,37,0},{34,36,1},{52,0,8},
{33,36,0},{33,36,0},{32,35,0},{62,21,8},{32,35,0},{47,14,18},{34,38,1},{34,37,4},{33,36,4},{47,14,18},{62,23,18},{33,36,4},{0,36,20},{62,23,18},{0,36,20},{33,0,20},{33,0,20},{33,0,20},{33,0,20},{33,36,4},{33,36,4},{33,36,4},{32,35,4},{31,36,1},{31,36,1},{35,43,40},{35,41,24},{35,39,33},{35,38,24},{35,42,55},{34,40,24},{35,38,8},
{34,38,28},{32,40,51},{33,38,21},{36,41,20},{36,40,1},{36,39,4},{36,38,5},{56,0,51},{34,40,20},{35,38,4},{32,38,20},{62,25,51},{32,38,20},{35,41,20},{35,41,20},{35,41,20},{35,38,20},{35,40,12},{35,38,4},{35,38,4},{34,37,4},{32,39,9},{34,37,4},{36,39,0},{36,39,0},{36,39,0},{36,38,1},{55,0,8},{35,38,0},{35,38,0},{34,37,0},{62,24,8},
{34,37,0},{48,17,18},{36,40,1},{36,39,4},{35,38,4},{48,17,18},{62,26,18},{35,38,4},{0,38,20},{62,26,18},{0,38,20},{35,0,20},{35,0,20},{35,0,20},{35,0,20},{35,38,4},{35,38,4},{35,38,4},{34,37,4},{33,38,1},{33,38,1},{37,45,40},{37,43,24},{37,41,33},{37,40,24},{37,44,55},{36,42,24},{37,40,8},{36,40,28},{34,42,51},{35,40,21},{38,43,20},
{38,42,1},{38,41,4},{38,40,5},{59,0,51},{36,42,20},{37,40,4},{34,40,20},{62,28,51},{34,40,20},{37,43,20},{37,43,20},{37,43,20},{37,40,20},{37,42,12},{37,40,4},{37,40,4},{36,39,4},{34,41,9},{36,39,4},{38,41,0},{38,41,0},{38,41,0},{38,40,1},{58,0,8},{37,40,0},{37,40,0},{36,39,0},{62,27,8},{36,39,0},{51,17,18},{38,42,1},{38,41,4},
{37,40,4},{51,17,18},{62,29,18},{37,40,4},{0,40,20},{62,29,18},{0,40,20},{37,0,20},{37,0,20},{37,0,20},{37,0,20},{37,40,4},{37,40,4},{37,40,4},{36,39,4},{35,40,1},{35,40,1},{40,46,44},{40,44,27},{40,43,28},{39,43,28},{39,47,52},{39,44,22},{39,43,3},{38,42,28},{36,44,53},{37,42,19},{40,46,19},{40,44,2},{40,43,3},{40,42,10},{62,1,51},
{38,44,19},{39,43,2},{37,42,18},{63,31,51},{37,42,18},{40,44,26},{40,44,26},{40,44,26},{40,42,26},{39,44,11},{39,43,2},{39,43,2},{39,41,2},{37,43,11},{38,41,3},{40,44,1},{40,44,1},{40,44,1},{40,42,1},{53,16,8},{40,42,1},{40,42,1},{39,41,1},{63,30,8},{39,41,1},{63,0,18},{40,44,1},{40,43,2},{38,43,1},{63,0,18},{62,32,18},{38,43,1},
{0,42,18},{62,32,18},{0,42,18},{39,0,26},{39,0,26},{39,0,26},{39,0,26},{39,43,1},{39,43,1},{39,43,1},{39,41,1},{37,42,1},{37,42,1},{42,48,44},{42,46,27},{42,45,28},{41,45,28},{41,48,53},{41,46,22},{41,45,3},{40,44,28},{38,46,53},{39,44,19},{42,48,19},{42,46,2},{42,45,3},{42,44,10},{63,5,51},{40,46,19},{41,45,2},{39,44,18},{47,42,51},
{39,44,18},{42,46,26},{42,46,26},{42,46,26},{42,44,26},{41,46,11},{41,45,2},{41,45,2},{41,43,2},{39,45,11},{40,43,3},{42,46,1},{42,46,1},{42,46,1},{42,44,1},{56,16,8},{42,44,1},{42,44,1},{41,43,1},{62,33,8},{41,43,1},{63,6,18},{42,46,1},{42,45,2},{40,45,1},{63,6,18},{62,35,18},{40,45,1},{0,44,18},{62,35,18},{0,44,18},{41,0,26},
{41,0,26},{41,0,26},{41,0,26},{41,45,1},{41,45,1},{41,45,1},{41,43,1},{39,44,1},{39,44,1},{44,50,44},{44,48,26},{44,47,28},{43,47,28},{43,50,53},{43,47,27},{43,47,3},{42,46,28},{40,48,51},{41,46,19},{44,50,19},{44,48,1},{44,47,3},{44,46,10},{63,11,51},{42,48,19},{43,47,2},{41,46,18},{47,45,51},{41,46,18},{44,48,26},{44,48,26},{44,48,26},
{44,46,26},{43,48,9},{43,47,2},{43,47,2},{43,45,2},{41,47,11},{42,45,3},{44,48,1},{44,48,1},{44,48,1},{44,46,1},{59,16,8},{44,46,1},{44,46,1},{43,45,1},{62,36,8},{43,45,1},{63,12,18},{44,48,0},{44,47,2},{42,47,1},{63,12,18},{62,38,18},{42,47,1},{0,46,18},{62,38,18},{0,46,18},{43,0,26},{43,0,26},{43,0,26},{43,0,26},{43,47,1},
{43,47,1},{43,47,1},{43,45,1},{41,46,1},{41,46,1},{46,52,44},{46,50,26},{46,49,31},{45,48,31},{45,52,53},{45,49,21},{45,48,7},{45,48,30},{42,50,51},{43,48,21},{46,52,19},{46,50,1},{46,49,6},{46,48,6},{55,32,51},{44,50,19},{45,48,6},{42,48,21},{46,48,51},{42,48,21},{46,50,26},{46,50,26},{46,50,26},{45,48,27},{45,50,9},{45,48,3},{45,48,3},
{45,47,2},{43,48,10},{44,47,3},{46,50,1},{46,50,1},{46,50,1},{46,48,2},{62,16,8},{45,48,2},{45,48,2},{45,47,1},{62,39,8},{45,47,1},{63,18,18},{46,50,0},{47,48,4},{45,48,5},{63,18,18},{62,41,18},{45,48,5},{0,48,20},{62,41,18},{0,48,20},{45,0,26},{45,0,26},{45,0,26},{45,0,26},{45,49,1},{45,49,1},{45,49,1},{45,47,1},{43,48,1},
{43,48,1},{48,54,44},{48,52,27},{48,51,28},{48,50,35},{47,55,51},{47,52,21},{47,51,3},{47,50,22},{45,52,52},{45,50,19},{48,54,19},{48,52,2},{48,51,3},{48,50,10},{63,23,51},{47,52,21},{47,51,3},{45,50,18},{63,43,51},{45,50,18},{48,52,26},{48,52,26},{48,52,26},{48,50,26},{47,53,8},{47,51,2},{47,51,2},{47,49,1},{45,51,8},{46,49,5},{48,52,1},
{48,52,1},{48,52,1},{48,50,1},{63,21,8},{48,50,1},{48,50,1},{47,49,1},{63,42,8},{47,49,1},{63,25,18},{48,52,1},{48,51,2},{46,51,1},{63,25,18},{63,44,18},{46,51,1},{0,50,18},{63,44,18},{0,50,18},{48,0,26},{48,0,26},{48,0,26},{48,0,26},{47,51,1},{47,51,1},{47,51,1},{47,49,0},{45,50,1},{45,50,1},{50,56,44},{50,54,27},{50,53,28},
{49,53,28},{49,57,52},{49,54,22},{49,53,3},{48,52,28},{47,54,52},{47,52,19},{50,56,19},{50,54,2},{50,53,3},{50,52,10},{63,29,51},{48,54,19},{49,53,2},{47,52,18},{63,46,51},{47,52,18},{50,54,26},{50,54,26},{50,54,26},{50,52,26},{49,54,11},{49,53,2},{49,53,2},{49,51,2},{47,53,8},{48,51,3},{50,54,1},{50,54,1},{50,54,1},{50,52,1},{63,27,8},
{50,52,1},{50,52,1},{49,51,1},{63,45,8},{49,51,1},{63,31,18},{50,54,1},{50,53,2},{48,53,1},{63,31,18},{63,47,18},{48,53,1},{0,52,18},{63,47,18},{0,52,18},{49,0,26},{49,0,26},{49,0,26},{49,0,26},{49,53,1},{49,53,1},{49,53,1},{49,51,1},{47,52,1},{47,52,1},{52,58,44},{52,56,27},{52,55,28},{51,55,28},{51,59,52},{51,56,22},{51,55,3},
{50,54,28},{48,56,53},{49,54,19},{52,58,19},{52,56,2},{52,55,3},{52,54,10},{63,35,51},{50,56,19},{51,55,2},{49,54,18},{63,49,51},{49,54,18},{52,56,26},{52,56,26},{52,56,26},{52,54,26},{51,56,11},{51,55,2},{51,55,2},{51,53,2},{49,55,11},{50,53,3},{52,56,1},{52,56,1},{52,56,1},{52,54,1},{63,33,8},{52,54,1},{52,54,1},{51,53,1},{47,56,8},
{51,53,1},{57,48,18},{52,56,1},{52,55,2},{50,55,1},{57,48,18},{62,50,18},{50,55,1},{0,54,18},{62,50,18},{0,54,18},{51,0,26},{51,0,26},{51,0,26},{51,0,26},{51,55,1},{51,55,1},{51,55,1},{51,53,1},{49,54,1},{49,54,1},{54,60,44},{54,58,27},{54,57,28},{53,57,28},{53,61,52},{53,58,22},{53,57,3},{52,56,28},{50,58,53},{51,56,19},{54,60,19},
{54,58,2},{54,57,3},{54,56,10},{63,41,51},{52,58,19},{53,57,2},{51,56,18},{63,52,51},{51,56,18},{54,58,26},{54,58,26},{54,58,26},{54,56,26},{53,58,11},{53,57,2},{53,57,2},{53,55,2},{51,57,11},{52,55,3},{54,58,1},{54,58,1},{54,58,1},{54,56,1},{63,39,8},{54,56,1},{54,56,1},{53,55,1},{47,59,8},{53,55,1},{60,48,18},{54,58,1},{54,57,2},
{52,57,1},{60,48,18},{62,53,18},{52,57,1},{0,56,18},{62,53,18},{0,56,18},{53,0,26},{53,0,26},{53,0,26},{53,0,26},{53,57,1},{53,57,1},{53,57,1},{53,55,1},{51,56,1},{51,56,1},{56,63,38},{56,61,21},{56,59,24},{56,59,24},{55,63,52},{55,60,18},{55,59,1},{55,58,24},{53,60,53},{54,58,21},{57,61,22},{56,61,5},{57,59,4},{56,59,8},{63,47,52},
{55,60,18},{55,59,1},{54,58,20},{63,55,52},{54,58,20},{56,61,20},{56,61,20},{56,61,20},{56,58,21},{55,61,8},{55,59,1},{55,59,1},{55,57,5},{53,59,8},{54,58,5},{57,59,4},{57,59,4},{57,59,4},{57,58,4},{61,49,8},{56,58,1},{56,58,1},{56,57,4},{63,54,8},{56,57,4},{63,49,18},{56,61,1},{57,59,0},{55,59,0},{63,49,18},{63,56,18},{55,59,0},
{0,58,20},{63,56,18},{0,58,20},{56,0,20},{56,0,20},{56,0,20},{56,0,20},{55,60,0},{55,60,0},{55,60,0},{55,57,1},{54,58,1},{54,58,1},{58,63,56},{58,63,21},{58,61,24},{58,61,24},{58,63,68},{57,62,18},{57,61,1},{57,60,24},{55,62,53},{56,60,21},{59,63,22},{58,63,5},{59,61,4},{58,61,8},{63,53,52},{57,62,18},{57,61,1},{56,60,20},{63,58,52},
{56,60,20},{58,63,20},{58,63,20},{58,63,20},{58,60,21},{57,63,8},{57,61,1},{57,61,1},{57,59,5},{55,61,8},{56,60,5},{59,61,4},{59,61,4},{59,61,4},{59,60,4},{63,51,8},{58,60,1},{58,60,1},{58,59,4},{63,57,8},{58,59,4},{63,55,18},{58,63,1},{59,61,0},{57,61,0},{63,55,18},{63,59,18},{57,61,0},{0,60,20},{63,59,18},{0,60,20},{58,0,20},
{58,0,20},{58,0,20},{58,0,20},{57,62,0},{57,62,0},{57,62,0},{57,59,1},{56,60,1},{56,60,1},{60,63,88},{60,63,40},{60,63,24},{60,63,24},{60,63,88},{59,63,37},{59,63,1},{59,62,24},{58,63,63},{58,62,21},{61,63,40},{61,63,13},{61,63,4},{60,63,8},{63,59,52},{60,63,24},{59,63,1},{58,62,20},{63,61,52},{58,62,20},{60,63,24},{60,63,24},{60,63,24},
{60,62,21},{60,63,24},{59,63,1},{59,63,1},{59,61,5},{57,63,8},{58,62,5},{61,63,4},{61,63,4},{61,63,4},{61,62,4},{63,57,8},{60,62,1},{60,62,1},{60,61,4},{63,60,8},{60,61,4},{63,61,18},{61,63,9},{61,63,0},{59,63,0},{63,61,18},{63,62,18},{59,63,0},{0,62,20},{63,62,18},{0,62,20},{60,0,20},{60,0,20},{60,0,20},{60,0,20},{59,63,1},
{59,63,1},{59,63,1},{59,61,1},{58,62,1},{58,62,1},{62,63,38},{62,63,33},{62,63,29},{62,63,24},{62,63,35},{62,63,25},{62,63,21},{61,63,1},{61,63,23},{60,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{62,63,0},{63,63,4},{62,63,0},{62,63,29},{62,63,29},{62,63,29},{62,63,24},{62,63,26},{62,63,21},{62,63,21},
{61,63,1},{61,63,14},{60,63,4},{63,63,4},{63,63,4},{63,63,4},{63,63,4},{63,62,4},{63,63,4},{63,63,4},{62,63,0},{62,63,4},{62,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{62,0,20},{62,0,20},{62,0,20},{62,0,20},{61,63,16},{61,63,16},{61,63,16},{61,63,1},{60,63,4},
{60,63,4},{0,8,74},{0,6,10},{0,4,1},{0,4,26},{0,6,154},{0,4,99},{0,3,50},{0,2,115},{0,3,170},{0,2,119},{0,8,74},{0,6,10},{0,4,1},{0,4,26},{3,0,154},{0,4,99},{0,3,50},{0,2,115},{6,0,154},{0,2,115},{0,4,0},{0,4,0},{0,4,0},{0,2,0},{0,2,13},{0,2,4},{0,2,4},{0,1,5},{0,1,14},{0,1,6},{0,4,0},
{0,4,0},{0,4,0},{0,2,0},{1,0,13},{0,2,4},{0,2,4},{0,1,5},{2,0,13},{0,1,5},{4,0,74},{0,6,10},{0,4,1},{0,4,26},{4,0,74},{8,0,74},{0,4,26},{0,3,74},{8,0,74},{0,3,74},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,14,83},{0,10,10},{1,6,27},
{0,6,19},{0,11,243},{0,7,110},{0,5,34},{0,4,139},{0,5,280},{0,4,164},{1,12,75},{1,9,2},{1,6,11},{1,6,18},{5,1,243},{0,7,110},{0,5,34},{0,4,139},{11,0,243},{0,4,139},{0,10,9},{0,10,9},{0,10,9},{0,5,9},{0,6,50},{0,5,9},{0,5,9},{0,3,26},{0,3,66},{0,2,33},{1,8,1},{1,8,1},{1,8,1},{1,4,2},{3,0,50},
{0,5,9},{0,5,9},{0,3,26},{6,0,50},{0,3,26},{7,0,74},{1,9,1},{2,6,1},{0,6,10},{7,0,74},{14,0,74},{0,6,10},{0,5,74},{14,0,74},{0,5,74},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,2},{0,1,2},{1,18,137},{1,12,74},{2,9,98},{1,8,67},{0,16,244},{0,10,78},{0,8,2},
{0,6,115},{0,8,344},{0,6,179},{3,14,75},{3,11,2},{3,8,11},{3,8,18},{8,1,243},{0,10,78},{0,8,2},{0,6,115},{15,1,243},{0,6,115},{1,14,65},{1,14,65},{1,14,65},{1,7,66},{0,12,50},{0,8,1},{0,8,1},{0,5,5},{0,5,104},{0,5,41},{3,10,1},{3,10,1},{3,10,1},{3,6,2},{6,0,50},{0,8,1},{0,8,1},{0,5,5},{12,0,50},
{0,5,5},{2,16,72},{3,11,1},{4,8,1},{0,8,1},{2,16,72},{20,0,72},{0,8,1},{0,7,74},{20,0,72},{0,7,74},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,3,25},{0,3,25},{3,20,146},{3,14,83},{4,11,115},{3,10,76},{2,18,245},{2,12,79},{2,10,3},{1,8,108},{0,11,293},{0,8,103},{5,16,73},
{5,13,2},{5,10,11},{5,10,18},{11,1,243},{1,13,75},{2,10,2},{0,8,94},{15,4,243},{0,8,94},{3,16,74},{3,16,74},{3,16,74},{3,9,75},{2,14,51},{2,10,2},{2,10,2},{2,7,6},{0,9,75},{0,7,6},{5,12,1},{5,12,1},{5,12,1},{5,8,2},{9,0,50},{2,10,1},{2,10,1},{0,7,2},{18,0,50},{0,7,2},{5,16,72},{5,13,1},{6,10,1},
{2,10,1},{5,16,72},{26,0,72},{2,10,1},{0,9,74},{26,0,72},{0,9,74},{3,0,74},{3,0,74},{3,0,74},{3,0,74},{2,10,2},{2,10,2},{2,10,2},{2,6,2},{0,7,5},{0,7,5},{6,21,152},{6,16,82},{6,13,109},{5,12,84},{4,21,243},{4,15,78},{4,13,8},{4,11,108},{0,14,255},{0,11,77},{7,19,72},{7,15,1},{7,13,8},{7,12,13},{6,17,243},
{3,15,72},{5,12,5},{0,11,73},{29,0,243},{0,11,73},{6,16,81},{6,16,81},{6,16,81},{5,12,80},{4,17,50},{4,13,4},{4,13,4},{4,9,5},{0,12,52},{1,10,4},{7,15,0},{7,15,0},{7,15,0},{7,11,0},{12,1,50},{5,12,1},{5,12,1},{3,9,4},{25,0,50},{3,9,4},{16,1,72},{7,15,1},{8,13,4},{5,12,4},{16,1,72},{33,0,72},{5,12,4},
{0,11,72},{33,0,72},{0,11,72},{5,0,80},{5,0,80},{5,0,80},{5,0,80},{4,13,0},{4,13,0},{4,13,0},{4,9,1},{1,10,0},{1,10,0},{8,23,152},{8,18,82},{8,15,109},{7,14,84},{6,23,243},{6,16,75},{6,15,8},{6,13,108},{1,17,244},{2,13,77},{9,21,72},{9,17,1},{9,15,8},{9,14,13},{17,1,243},{5,17,72},{7,14,5},{1,13,72},{35,0,243},
{1,13,72},{8,18,81},{8,18,81},{8,18,81},{7,14,80},{6,19,50},{6,15,4},{6,15,4},{6,11,5},{2,14,52},{3,12,4},{9,16,1},{9,16,1},{9,16,1},{9,13,0},{15,1,50},{7,14,1},{7,14,1},{5,11,4},{31,0,50},{5,11,4},{19,1,72},{9,17,1},{10,15,4},{7,14,4},{19,1,72},{39,0,72},{7,14,4},{0,13,72},{39,0,72},{0,13,72},{7,0,80},
{7,0,80},{7,0,80},{7,0,80},{6,15,0},{6,15,0},{6,15,0},{6,11,1},{3,12,0},{3,12,0},{10,25,152},{10,20,82},{10,17,114},{9,16,82},{8,25,243},{8,18,75},{8,16,2},{8,15,108},{3,19,244},{4,15,77},{11,23,72},{11,19,1},{11,16,10},{11,16,17},{20,1,243},{7,19,72},{8,16,2},{3,15,72},{41,0,243},{3,15,72},{10,20,81},{10,20,81},{10,20,81},
{10,15,81},{8,21,50},{8,16,1},{8,16,1},{8,13,5},{4,16,52},{5,14,4},{11,18,1},{11,18,1},{11,18,1},{11,15,0},{15,7,50},{8,16,1},{8,16,1},{7,13,4},{31,3,50},{7,13,4},{22,1,72},{11,19,1},{12,16,2},{8,16,1},{22,1,72},{45,0,72},{8,16,1},{0,15,72},{45,0,72},{0,15,72},{9,0,80},{9,0,80},{9,0,80},{9,0,80},{8,17,0},
{8,17,0},{8,17,0},{8,13,1},{5,14,0},{5,14,0},{12,27,152},{12,22,82},{12,19,114},{11,18,82},{10,27,243},{10,20,75},{10,18,2},{10,16,106},{5,21,244},{6,17,79},{13,25,72},{13,21,1},{13,18,10},{13,18,17},{23,1,243},{9,21,72},{10,18,2},{5,17,74},{47,0,243},{5,17,74},{12,22,81},{12,22,81},{12,22,81},{12,17,80},{10,23,50},{10,18,1},{10,18,1},
{10,15,5},{6,18,52},{8,15,9},{13,20,1},{13,20,1},{13,20,1},{13,17,1},{15,13,50},{10,18,1},{10,18,1},{9,15,4},{31,6,50},{9,15,4},{25,1,72},{13,21,1},{14,18,2},{10,18,1},{25,1,72},{47,2,72},{10,18,1},{0,17,74},{47,2,72},{0,17,74},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{10,19,0},{10,19,0},{10,19,0},{10,15,1},{7,16,0},
{7,16,0},{14,30,146},{14,24,78},{14,21,114},{14,20,79},{12,30,244},{12,23,79},{12,21,7},{12,19,109},{7,23,244},{9,19,76},{15,28,73},{15,23,2},{15,21,14},{15,20,14},{27,0,243},{11,23,75},{13,20,4},{7,19,73},{46,4,243},{7,19,73},{14,25,74},{14,25,74},{14,25,74},{14,19,75},{12,25,53},{12,21,3},{12,21,3},{12,17,6},{8,21,52},{9,18,6},{15,23,1},
{15,23,1},{15,23,1},{15,19,1},{24,1,50},{13,20,0},{13,20,0},{11,17,5},{49,0,50},{11,17,5},{20,17,72},{15,23,1},{16,21,4},{13,20,4},{20,17,72},{57,0,72},{13,20,4},{0,19,72},{57,0,72},{0,19,72},{14,0,74},{14,0,74},{14,0,74},{14,0,74},{12,22,1},{12,22,1},{12,22,1},{12,17,2},{9,18,2},{9,18,2},{16,31,152},{16,26,81},{16,23,109},
{16,22,88},{14,32,244},{14,25,79},{14,23,7},{14,21,109},{9,25,244},{11,21,76},{17,29,72},{17,25,1},{17,23,8},{17,22,13},{30,0,243},{13,25,75},{15,22,4},{9,21,73},{46,7,243},{9,21,73},{16,27,80},{16,27,80},{16,27,80},{16,21,81},{14,27,53},{14,23,3},{14,23,3},{14,19,6},{10,23,52},{11,20,6},{17,25,0},{17,25,0},{17,25,0},{17,21,0},{27,1,50},
{15,22,0},{15,22,0},{13,19,5},{55,0,50},{13,19,5},{23,17,72},{17,25,1},{18,23,4},{15,22,4},{23,17,72},{63,0,72},{15,22,4},{0,21,72},{63,0,72},{0,21,72},{16,0,80},{16,0,80},{16,0,80},{16,0,80},{14,24,1},{14,24,1},{14,24,1},{14,19,2},{11,20,2},{11,20,2},{18,33,152},{18,28,81},{18,25,109},{17,24,84},{16,33,243},{16,27,78},{16,25,8},
{16,23,108},{11,27,244},{13,23,76},{19,31,72},{19,27,1},{19,25,8},{19,24,13},{32,1,243},{15,27,75},{17,24,5},{11,23,73},{46,10,243},{11,23,73},{18,29,80},{18,29,80},{18,29,80},{17,24,80},{16,29,50},{16,25,4},{16,25,4},{16,21,5},{12,25,52},{13,22,6},{19,27,0},{19,27,0},{19,27,0},{19,23,0},{30,1,50},{17,24,1},{17,24,1},{15,21,5},{61,0,50},
{15,21,5},{34,1,72},{19,27,1},{20,25,4},{17,24,4},{34,1,72},{63,3,72},{17,24,4},{0,23,72},{63,3,72},{0,23,72},{17,0,80},{17,0,80},{17,0,80},{17,0,80},{16,25,0},{16,25,0},{16,25,0},{16,21,1},{13,22,2},{13,22,2},{20,35,152},{20,30,81},{20,27,109},{19,26,84},{18,35,243},{18,29,78},{18,27,8},{18,25,108},{13,29,244},{15,25,76},{21,33,72},
{21,29,1},{21,27,8},{21,26,13},{35,1,243},{17,29,72},{19,26,5},{13,25,73},{46,13,243},{13,25,73},{20,31,80},{20,31,80},{20,31,80},{19,26,80},{18,31,50},{18,27,4},{18,27,4},{18,23,5},{14,27,52},{15,24,6},{21,29,0},{21,29,0},{21,29,0},{21,25,0},{33,1,50},{19,26,1},{19,26,1},{17,23,4},{63,2,50},{17,23,4},{37,1,72},{21,29,1},{22,27,4},
{19,26,4},{37,1,72},{63,6,72},{19,26,4},{0,25,72},{63,6,72},{0,25,72},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{18,27,0},{18,27,0},{18,27,0},{18,23,1},{15,24,2},{15,24,2},{22,38,146},{22,32,78},{22,29,111},{22,28,84},{20,38,244},{20,31,74},{20,29,4},{20,27,100},{14,32,247},{17,27,75},{23,36,73},{23,32,3},{23,29,11},{23,28,14},{39,0,243},
{20,31,73},{20,29,3},{16,27,74},{62,8,243},{16,27,74},{22,33,74},{22,33,74},{22,33,74},{22,28,75},{20,33,53},{20,29,3},{20,29,3},{20,25,10},{16,29,50},{18,26,2},{23,31,2},{23,31,2},{23,31,2},{23,27,2},{31,12,50},{21,28,1},{21,28,1},{18,26,1},{62,6,50},{18,26,1},{41,0,72},{23,32,2},{24,29,2},{19,29,2},{41,0,72},{62,10,72},{19,29,2},
{0,27,74},{62,10,72},{0,27,74},{22,0,74},{22,0,74},{22,0,74},{22,0,74},{20,30,1},{20,30,1},{20,30,1},{20,25,1},{18,26,1},{18,26,1},{24,40,146},{24,34,78},{24,31,111},{24,30,84},{22,40,244},{22,33,79},{22,31,4},{22,29,100},{17,33,244},{19,29,75},{25,38,73},{25,33,2},{25,31,11},{25,30,14},{42,0,243},{21,33,75},{22,31,3},{18,29,74},{62,11,243},
{18,29,74},{24,35,74},{24,35,74},{24,35,74},{24,30,75},{22,35,53},{22,31,3},{22,31,3},{22,27,10},{18,31,50},{20,28,2},{25,33,1},{25,33,1},{25,33,1},{25,29,2},{31,18,50},{23,30,1},{23,30,1},{20,28,1},{62,9,50},{20,28,1},{44,0,72},{25,33,1},{26,31,2},{21,31,2},{44,0,72},{62,13,72},{21,31,2},{0,29,74},{62,13,72},{0,29,74},{24,0,74},
{24,0,74},{24,0,74},{24,0,74},{22,32,1},{22,32,1},{22,32,1},{22,27,1},{20,28,1},{20,28,1},{26,42,146},{26,36,78},{26,33,114},{26,32,79},{24,42,244},{24,35,79},{24,33,7},{24,31,100},{19,35,244},{21,31,75},{27,40,73},{27,35,2},{28,33,13},{27,32,14},{45,0,243},{23,35,75},{25,32,4},{20,31,74},{62,14,243},{20,31,74},{26,37,74},{26,37,74},{26,37,74},
{26,32,75},{24,37,53},{24,33,3},{24,33,3},{24,29,10},{20,33,52},{22,30,2},{27,35,1},{27,35,1},{27,35,1},{27,31,2},{34,17,50},{25,32,0},{25,32,0},{22,30,1},{62,12,50},{22,30,1},{47,0,72},{27,35,1},{28,33,4},{25,32,4},{47,0,72},{46,24,72},{25,32,4},{0,31,74},{46,24,72},{0,31,74},{26,0,74},{26,0,74},{26,0,74},{26,0,74},{24,34,1},
{24,34,1},{24,34,1},{24,29,1},{22,30,1},{22,30,1},{28,44,146},{28,38,78},{28,35,114},{28,34,79},{26,44,244},{26,37,79},{26,35,7},{26,33,109},{21,37,244},{23,33,76},{29,42,73},{29,37,2},{30,35,13},{29,34,14},{47,2,243},{25,37,75},{27,34,4},{21,33,73},{62,17,243},{21,33,73},{28,39,74},{28,39,74},{28,39,74},{28,33,75},{26,39,53},{26,35,3},{26,35,3},
{26,31,10},{22,35,52},{23,32,6},{29,37,1},{29,37,1},{29,37,1},{29,33,1},{37,17,50},{27,34,0},{27,34,0},{23,32,5},{62,15,50},{23,32,5},{49,1,72},{29,37,1},{30,35,4},{27,34,4},{49,1,72},{46,27,72},{27,34,4},{0,33,72},{46,27,72},{0,33,72},{28,0,74},{28,0,74},{28,0,74},{28,0,74},{26,36,1},{26,36,1},{26,36,1},{26,31,1},{23,32,2},
{23,32,2},{30,46,146},{30,41,77},{31,37,121},{30,36,81},{29,45,247},{28,39,77},{28,37,9},{28,35,103},{24,39,248},{25,35,76},{31,44,78},{31,40,4},{32,37,11},{31,36,17},{51,0,243},{28,39,73},{28,37,5},{24,35,74},{47,28,243},{24,35,74},{30,42,72},{30,42,72},{30,42,72},{30,36,72},{29,40,54},{29,36,6},{29,36,6},{28,34,9},{24,37,51},{26,34,2},{31,40,4},
{31,40,4},{31,40,4},{31,35,5},{49,0,50},{29,36,2},{29,36,2},{26,34,1},{62,18,50},{26,34,1},{53,0,72},{31,40,0},{32,37,2},{28,37,1},{53,0,72},{62,22,72},{28,37,1},{0,35,74},{62,22,72},{0,35,74},{30,0,72},{30,0,72},{30,0,72},{30,0,72},{29,36,5},{29,36,5},{29,36,5},{28,33,4},{26,34,1},{26,34,1},{32,48,146},{32,42,79},{32,39,111},
{32,38,84},{31,47,247},{30,41,77},{30,39,9},{30,37,103},{26,41,248},{27,37,76},{33,46,73},{33,42,3},{33,39,11},{33,38,14},{54,0,243},{30,41,73},{30,39,5},{26,37,74},{47,31,243},{26,37,74},{32,43,75},{32,43,75},{32,43,75},{32,38,75},{31,42,54},{31,38,6},{31,38,6},{30,36,9},{26,39,51},{28,36,2},{33,41,2},{33,41,2},{33,41,2},{33,37,2},{52,0,50},
{31,38,2},{31,38,2},{28,36,1},{62,21,50},{28,36,1},{56,0,72},{33,42,2},{34,39,2},{30,39,1},{56,0,72},{62,25,72},{30,39,1},{0,37,74},{62,25,72},{0,37,74},{32,0,74},{32,0,74},{32,0,74},{32,0,74},{31,38,5},{31,38,5},{31,38,5},{30,35,4},{28,36,1},{28,36,1},{34,50,146},{34,44,79},{34,41,111},{34,40,84},{32,50,244},{32,43,74},{32,41,4},
{32,39,100},{28,43,248},{29,39,76},{35,48,73},{35,44,3},{35,41,11},{35,40,14},{57,0,243},{32,43,73},{32,41,3},{28,39,74},{50,32,243},{28,39,74},{34,45,75},{34,45,75},{34,45,75},{34,40,75},{32,46,51},{32,41,3},{32,41,3},{32,37,10},{28,41,51},{30,38,2},{35,43,2},{35,43,2},{35,43,2},{35,39,2},{55,0,50},{33,40,1},{33,40,1},{30,38,1},{62,24,50},
{30,38,1},{59,0,72},{35,44,2},{36,41,2},{31,41,2},{59,0,72},{62,28,72},{31,41,2},{0,39,74},{62,28,72},{0,39,74},{34,0,74},{34,0,74},{34,0,74},{34,0,74},{32,42,1},{32,42,1},{32,42,1},{32,37,1},{30,38,1},{30,38,1},{36,52,146},{36,46,79},{36,43,111},{36,42,84},{34,52,244},{34,45,74},{34,43,4},{34,41,100},{30,45,248},{31,41,76},{37,50,73},
{37,46,3},{37,43,11},{37,42,14},{60,0,243},{34,45,73},{34,43,3},{30,41,74},{56,32,243},{30,41,74},{36,47,75},{36,47,75},{36,47,75},{36,42,75},{34,47,53},{34,43,3},{34,43,3},{34,39,10},{30,43,51},{32,40,2},{37,45,2},{37,45,2},{37,45,2},{37,41,2},{58,0,50},{35,42,1},{35,42,1},{32,40,1},{62,27,50},{32,40,1},{62,0,72},{37,46,2},{38,43,2},
{33,43,2},{62,0,72},{62,31,72},{33,43,2},{0,41,74},{62,31,72},{0,41,74},{36,0,74},{36,0,74},{36,0,74},{36,0,74},{34,44,1},{34,44,1},{34,44,1},{34,39,1},{32,40,1},{32,40,1},{38,54,146},{38,49,77},{39,45,120},{38,45,76},{37,53,247},{36,47,78},{37,45,5},{36,43,100},{31,48,243},{33,43,81},{40,50,78},{39,48,4},{40,45,8},{39,45,20},{63,1,243},
{36,47,74},{37,45,1},{33,43,80},{63,32,243},{33,43,80},{38,50,72},{38,50,72},{38,50,72},{38,44,72},{37,48,54},{37,45,5},{37,45,5},{36,42,8},{32,45,53},{34,42,1},{40,46,4},{40,46,4},{40,46,4},{40,43,4},{53,16,50},{37,45,1},{37,45,1},{35,42,0},{63,30,50},{35,42,0},{63,5,72},{39,48,0},{41,45,1},{36,45,0},{63,5,72},{47,42,72},{36,45,0},
{0,43,80},{47,42,72},{0,43,80},{38,0,72},{38,0,72},{38,0,72},{38,0,72},{37,45,4},{37,45,4},{37,45,4},{37,41,4},{34,42,1},{34,42,1},{40,56,146},{40,51,77},{41,47,120},{40,47,76},{39,55,247},{38,49,77},{39,47,5},{38,45,100},{34,49,248},{35,45,81},{42,52,78},{41,50,4},{42,47,8},{41,47,20},{63,7,243},{38,49,73},{39,47,1},{35,45,80},{63,35,243},
{35,45,80},{40,52,72},{40,52,72},{40,52,72},{40,46,72},{39,50,54},{39,47,5},{39,47,5},{38,44,8},{34,47,53},{36,44,1},{42,48,4},{42,48,4},{42,48,4},{42,45,4},{56,16,50},{39,47,1},{39,47,1},{37,44,0},{62,33,50},{37,44,0},{63,11,72},{41,50,0},{43,47,1},{38,47,0},{63,11,72},{47,45,72},{38,47,0},{0,45,80},{47,45,72},{0,45,80},{40,0,72},
{40,0,72},{40,0,72},{40,0,72},{39,47,4},{39,47,4},{39,47,4},{39,43,4},{36,44,1},{36,44,1},{42,58,146},{42,53,77},{43,49,121},{42,48,81},{41,57,247},{40,51,77},{40,49,9},{40,47,100},{36,51,248},{37,47,81},{44,54,78},{43,52,4},{44,49,6},{43,48,17},{63,13,243},{40,51,73},{40,49,5},{37,47,80},{63,38,243},{37,47,80},{42,54,72},{42,54,72},{42,54,72},
{42,48,72},{41,52,54},{41,48,6},{41,48,6},{40,46,8},{36,49,51},{38,46,1},{44,50,4},{44,50,4},{44,50,4},{44,47,4},{59,16,50},{41,48,2},{41,48,2},{39,46,0},{62,36,50},{39,46,0},{55,32,72},{43,52,0},{44,49,2},{40,49,1},{55,32,72},{46,48,72},{40,49,1},{0,47,80},{46,48,72},{0,47,80},{42,0,72},{42,0,72},{42,0,72},{42,0,72},{41,48,5},
{41,48,5},{41,48,5},{41,45,4},{38,46,1},{38,46,1},{44,60,146},{44,55,77},{45,51,121},{44,50,81},{43,59,247},{42,53,77},{42,51,9},{42,49,103},{38,53,248},{39,49,76},{46,56,78},{45,54,4},{46,51,6},{45,50,17},{63,19,243},{42,53,73},{42,51,5},{38,49,74},{63,41,243},{38,49,74},{44,56,72},{44,56,72},{44,56,72},{44,50,72},{43,54,54},{43,50,6},{43,50,6},
{42,48,9},{38,51,51},{40,48,2},{46,52,4},{46,52,4},{46,52,4},{46,49,4},{62,16,50},{43,50,2},{43,50,2},{40,48,1},{62,39,50},{40,48,1},{58,32,72},{45,54,0},{46,51,2},{42,51,1},{58,32,72},{52,48,72},{42,51,1},{0,49,74},{52,48,72},{0,49,74},{44,0,72},{44,0,72},{44,0,72},{44,0,72},{43,50,5},{43,50,5},{43,50,5},{43,47,4},{40,48,1},
{40,48,1},{46,63,146},{46,57,79},{47,53,115},{46,53,78},{45,61,245},{45,55,77},{45,53,2},{44,51,105},{39,56,243},{42,51,82},{48,59,76},{48,55,9},{48,53,8},{47,53,18},{59,33,243},{44,55,74},{45,53,1},{41,51,80},{55,48,243},{41,51,80},{46,59,74},{46,59,74},{46,59,74},{46,52,75},{45,57,51},{45,53,2},{45,53,2},{44,50,10},{41,53,51},{42,50,1},{48,54,4},
{48,54,4},{48,54,4},{48,51,4},{63,21,50},{45,53,1},{45,53,1},{43,50,0},{63,42,50},{43,50,0},{63,29,72},{47,56,2},{49,53,1},{44,53,1},{63,29,72},{63,46,72},{44,53,1},{0,51,80},{63,46,72},{0,51,80},{46,0,74},{46,0,74},{46,0,74},{46,0,74},{45,53,1},{45,53,1},{45,53,1},{45,49,1},{42,50,1},{42,50,1},{48,63,152},{48,59,77},{49,55,120},
{48,55,76},{47,63,245},{47,57,77},{47,55,2},{46,53,105},{41,58,243},{44,53,82},{50,61,76},{49,58,4},{50,55,8},{49,55,20},{62,33,243},{46,57,74},{47,55,1},{43,53,80},{61,48,243},{43,53,80},{48,60,72},{48,60,72},{48,60,72},{48,54,72},{47,59,51},{47,55,2},{47,55,2},{46,52,10},{43,55,51},{44,52,1},{50,56,4},{50,56,4},{50,56,4},{50,53,4},{63,27,50},
{47,55,1},{47,55,1},{45,52,0},{63,45,50},{45,52,0},{63,35,72},{49,58,0},{51,55,1},{46,55,1},{63,35,72},{63,49,72},{46,55,1},{0,53,80},{63,49,72},{0,53,80},{48,0,72},{48,0,72},{48,0,72},{48,0,72},{47,55,1},{47,55,1},{47,55,1},{47,51,1},{44,52,1},{44,52,1},{51,63,184},{50,61,77},{51,57,120},{50,57,76},{49,63,268},{48,59,78},{49,57,5},
{48,55,100},{43,60,243},{46,55,82},{52,63,76},{51,60,4},{52,57,8},{51,57,20},{63,37,243},{48,59,74},{49,57,1},{45,55,80},{63,50,243},{45,55,80},{50,62,72},{50,62,72},{50,62,72},{50,56,72},{49,60,56},{49,57,5},{49,57,5},{48,54,8},{45,57,51},{46,54,1},{52,58,4},{52,58,4},{52,58,4},{52,55,4},{63,33,50},{49,57,1},{49,57,1},{47,54,0},{47,56,50},
{47,54,0},{63,41,72},{51,60,0},{53,57,1},{48,57,0},{63,41,72},{63,52,72},{48,57,0},{0,55,80},{63,52,72},{0,55,80},{50,0,72},{50,0,72},{50,0,72},{50,0,72},{49,57,4},{49,57,4},{49,57,4},{49,53,4},{46,54,1},{46,54,1},{53,63,226},{52,63,77},{53,59,120},{52,59,76},{52,63,300},{50,61,78},{51,59,5},{50,57,100},{45,62,243},{47,57,84},{54,63,84},
{53,62,4},{54,59,8},{53,59,20},{63,43,243},{49,62,73},{51,59,1},{47,57,80},{63,53,243},{47,57,80},{52,63,76},{52,63,76},{52,63,76},{52,58,72},{51,62,56},{51,59,5},{51,59,5},{50,56,8},{47,59,51},{48,56,1},{54,60,4},{54,60,4},{54,60,4},{54,57,4},{63,39,50},{51,59,1},{51,59,1},{49,56,0},{47,59,50},{49,56,0},{63,47,72},{53,62,0},{55,59,1},
{50,59,0},{63,47,72},{63,55,72},{50,59,0},{0,57,80},{63,55,72},{0,57,80},{52,0,72},{52,0,72},{52,0,72},{52,0,72},{51,59,4},{51,59,4},{51,59,4},{51,55,4},{48,56,1},{48,56,1},{56,63,314},{55,63,115},{55,62,115},{54,61,76},{54,63,364},{53,63,79},{53,61,3},{52,59,108},{48,63,252},{49,60,79},{57,63,115},{56,63,10},{56,61,11},{56,61,18},{63,50,243},
{53,63,78},{53,61,2},{47,60,75},{62,57,243},{47,60,75},{54,63,99},{54,63,99},{54,63,99},{54,60,75},{53,63,69},{53,61,2},{53,61,2},{53,58,6},{49,61,51},{50,58,6},{56,63,1},{56,63,1},{56,63,1},{56,59,2},{61,49,50},{53,61,1},{53,61,1},{51,58,2},{63,54,50},{51,58,2},{63,53,74},{56,63,9},{57,61,1},{53,61,1},{63,53,74},{63,58,74},{53,61,1},
{0,60,74},{63,58,74},{0,60,74},{54,0,74},{54,0,74},{54,0,74},{54,0,74},{53,61,2},{53,61,2},{53,61,2},{53,57,2},{50,59,2},{50,59,2},{57,63,371},{57,63,179},{57,63,115},{56,63,75},{57,63,387},{55,63,123},{55,63,2},{54,61,91},{52,63,286},{51,62,70},{59,63,146},{58,63,59},{58,63,10},{58,63,17},{63,55,221},{57,63,98},{55,63,1},{49,62,66},{63,59,221},
{49,62,66},{57,63,115},{57,63,115},{57,63,115},{56,62,75},{56,63,93},{55,63,2},{55,63,2},{55,60,6},{51,63,51},{52,60,6},{58,63,10},{58,63,10},{58,63,10},{58,61,2},{63,51,50},{55,63,1},{55,63,1},{53,60,2},{63,57,50},{53,60,2},{63,59,61},{60,63,25},{59,63,0},{55,63,0},{63,59,61},{63,61,61},{55,63,0},{0,62,65},{63,61,61},{0,62,65},{56,0,74},
{56,0,74},{56,0,74},{56,0,74},{55,63,2},{55,63,2},{55,63,2},{55,59,2},{52,61,2},{52,61,2},{60,63,259},{59,63,190},{59,63,154},{58,63,90},{59,63,270},{58,63,91},{57,63,35},{57,62,22},{56,63,194},{54,63,11},{61,63,70},{60,63,42},{60,63,26},{60,63,2},{63,59,94},{60,63,42},{59,63,13},{53,63,10},{63,61,94},{53,63,10},{59,63,154},{59,63,154},{59,63,154},
{58,63,90},{58,63,147},{57,63,35},{57,63,35},{57,62,6},{55,63,77},{54,62,6},{60,63,26},{60,63,26},{60,63,26},{60,63,2},{63,57,50},{59,63,13},{59,63,13},{55,62,2},{63,60,50},{55,62,2},{63,62,5},{62,63,4},{62,63,0},{61,63,0},{63,62,5},{62,63,5},{61,63,0},{0,63,9},{62,63,5},{0,63,9},{58,0,74},{58,0,74},{58,0,74},{58,0,74},{57,63,10},
{57,63,10},{57,63,10},{57,61,2},{54,63,2},{54,63,2},{61,63,162},{61,63,135},{61,63,126},{60,63,90},{61,63,154},{60,63,66},{60,63,50},{59,63,2},{59,63,109},{57,63,10},{62,63,19},{62,63,14},{62,63,10},{62,63,5},{63,62,17},{62,63,12},{62,63,8},{59,63,1},{62,63,17},{59,63,1},{61,63,126},{61,63,126},{61,63,126},{60,63,90},{60,63,98},{60,63,50},{60,63,50},
{59,63,2},{58,63,62},{57,63,10},{62,63,10},{62,63,10},{62,63,10},{62,63,5},{63,61,13},{62,63,8},{62,63,8},{59,63,1},{63,62,13},{59,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{60,0,74},{60,0,74},{60,0,74},{60,0,74},{60,63,34},{60,63,34},{60,63,34},{59,63,2},{57,63,10},
{57,63,10},{0,14,202},{0,10,25},{0,7,1},{0,6,74},{0,10,441},{0,6,282},{0,5,133},{0,4,318},{0,5,477},{0,4,343},{0,14,202},{0,10,25},{0,7,1},{0,6,74},{5,0,441},{0,6,282},{0,5,133},{0,4,318},{10,0,441},{0,4,318},{0,7,0},{0,7,0},{0,7,0},{0,3,1},{0,3,41},{0,3,17},{0,3,17},{0,2,26},{0,2,45},{0,1,30},{0,7,0},
{0,7,0},{0,7,0},{0,3,1},{2,0,41},{0,3,17},{0,3,17},{0,2,26},{3,0,41},{0,2,26},{7,0,202},{0,10,25},{0,7,1},{0,6,74},{7,0,202},{14,0,202},{0,6,74},{0,5,202},{14,0,202},{0,5,202},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,20,200},{0,14,1},{0,10,25},
{0,8,41},{0,14,686},{0,9,362},{0,8,141},{0,5,467},{0,6,762},{0,5,503},{0,20,200},{0,14,1},{0,10,25},{0,8,41},{7,0,686},{0,9,362},{0,8,141},{0,5,467},{14,0,686},{0,5,467},{0,13,0},{0,13,0},{0,13,0},{0,6,1},{0,6,145},{0,5,52},{0,5,52},{0,3,89},{0,3,161},{0,3,105},{0,13,0},{0,13,0},{0,13,0},{0,6,1},{3,0,145},
{0,5,52},{0,5,52},{0,3,89},{6,0,145},{0,3,89},{2,16,200},{0,14,1},{2,9,1},{0,8,41},{2,16,200},{20,0,200},{0,8,41},{0,7,202},{20,0,200},{0,7,202},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,24,225},{1,16,27},{1,12,83},{1,11,51},{0,19,724},{0,12,299},{0,10,62},
{0,8,414},{0,9,875},{0,7,500},{2,22,201},{2,16,6},{2,12,26},{1,11,35},{10,0,723},{0,12,299},{0,10,62},{0,8,414},{14,3,723},{0,8,414},{1,17,25},{1,17,25},{1,17,25},{1,9,25},{0,12,162},{0,8,25},{0,8,25},{0,5,61},{0,5,216},{0,5,97},{2,15,1},{2,15,1},{2,15,1},{2,8,2},{6,0,162},{0,8,25},{0,8,25},{0,5,61},{12,0,162},
{0,5,61},{5,16,200},{1,16,2},{4,11,1},{0,11,17},{5,16,200},{26,0,200},{0,11,17},{0,9,202},{26,0,200},{0,9,202},{1,0,25},{1,0,25},{1,0,25},{1,0,25},{0,5,1},{0,5,1},{0,5,1},{0,3,1},{0,2,8},{0,2,8},{2,28,313},{2,19,118},{2,14,203},{2,13,130},{0,25,724},{0,16,236},{0,13,6},{0,10,339},{0,11,984},{0,10,508},{4,24,201},
{4,17,5},{4,14,26},{3,13,35},{13,0,723},{0,16,236},{0,13,6},{0,10,339},{14,6,723},{0,10,339},{2,21,113},{2,21,113},{2,21,113},{2,11,114},{0,18,162},{0,12,2},{0,12,2},{0,7,34},{0,8,280},{0,7,115},{4,17,1},{4,17,1},{4,17,1},{4,10,2},{9,0,162},{0,12,2},{0,12,2},{0,7,34},{18,0,162},{0,7,34},{16,0,200},{3,18,2},{6,13,1},
{0,13,2},{16,0,200},{32,0,200},{0,13,2},{0,11,202},{32,0,200},{0,11,202},{2,0,113},{2,0,113},{2,0,113},{2,0,113},{0,11,1},{0,11,1},{0,11,1},{0,6,1},{0,5,40},{0,5,40},{4,31,408},{4,22,216},{4,16,317},{3,15,216},{1,30,723},{1,19,216},{1,15,9},{0,12,312},{0,15,1000},{0,12,440},{6,27,200},{6,20,1},{7,16,29},{5,15,36},{16,0,723},
{0,19,203},{2,15,5},{0,12,296},{32,0,723},{0,12,296},{4,23,209},{4,23,209},{4,23,209},{4,14,208},{1,23,162},{1,16,4},{1,16,4},{1,10,20},{0,11,294},{0,10,89},{6,19,1},{6,19,1},{6,19,1},{6,13,0},{12,1,162},{2,15,1},{2,15,1},{0,10,8},{25,0,162},{0,10,8},{19,1,200},{6,20,1},{8,15,5},{2,15,4},{19,1,200},{39,0,200},{2,15,4},
{0,13,200},{39,0,200},{0,13,200},{3,0,208},{3,0,208},{3,0,208},{3,0,208},{1,16,0},{1,16,0},{1,16,0},{1,9,1},{0,8,45},{0,8,45},{6,33,408},{6,24,216},{6,18,317},{5,17,213},{3,32,723},{3,21,216},{3,17,2},{2,14,312},{0,18,888},{0,14,293},{8,29,200},{8,22,1},{9,17,26},{8,17,37},{19,0,723},{1,22,200},{3,17,2},{0,14,257},{38,0,723},
{0,14,257},{6,25,209},{6,25,209},{6,25,209},{5,16,208},{3,25,162},{3,17,1},{3,17,1},{3,12,20},{0,15,228},{0,12,20},{8,21,1},{8,21,1},{8,21,1},{8,15,0},{15,1,162},{3,17,1},{3,17,1},{0,12,4},{31,0,162},{0,12,4},{22,1,200},{8,22,1},{10,17,2},{3,17,1},{22,1,200},{45,0,200},{3,17,1},{0,15,200},{45,0,200},{0,15,200},{5,0,208},
{5,0,208},{5,0,208},{5,0,208},{3,18,0},{3,18,0},{3,18,0},{3,11,1},{0,11,13},{0,11,13},{8,35,408},{8,26,216},{8,20,317},{7,19,213},{5,34,723},{5,23,216},{5,19,2},{4,16,298},{0,22,804},{0,16,228},{10,31,200},{10,24,1},{11,19,26},{10,19,37},{22,0,723},{3,24,200},{5,19,2},{0,16,227},{44,0,723},{0,16,227},{8,27,209},{8,27,209},{8,27,209},
{7,18,208},{5,27,162},{5,19,1},{5,19,1},{5,14,20},{0,18,180},{0,15,4},{10,23,1},{10,23,1},{10,23,1},{10,17,1},{15,7,162},{5,19,1},{5,19,1},{2,14,4},{31,3,162},{2,14,4},{25,1,200},{10,24,1},{12,19,2},{5,19,1},{25,1,200},{47,2,200},{5,19,1},{0,17,202},{47,2,200},{0,17,202},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{5,20,0},
{5,20,0},{5,20,0},{5,13,1},{0,15,0},{0,15,0},{10,37,408},{10,28,216},{10,22,317},{9,21,213},{7,36,723},{7,25,216},{7,21,2},{6,18,298},{0,25,748},{1,19,218},{12,33,200},{12,26,1},{13,21,26},{12,21,37},{25,0,723},{5,26,200},{7,21,2},{0,19,211},{50,0,723},{0,19,211},{10,29,209},{10,29,209},{10,29,209},{9,20,208},{7,29,162},{7,21,1},{7,21,1},
{7,16,17},{0,21,164},{3,16,3},{12,25,1},{12,25,1},{12,25,1},{12,19,1},{15,13,162},{7,21,1},{7,21,1},{4,16,1},{31,6,162},{4,16,1},{28,1,200},{12,26,1},{14,21,2},{7,21,1},{28,1,200},{47,5,200},{7,21,1},{0,19,202},{47,5,200},{0,19,202},{9,0,208},{9,0,208},{9,0,208},{9,0,208},{7,22,0},{7,22,0},{7,22,0},{7,15,1},{2,17,0},
{2,17,0},{12,39,404},{12,30,212},{13,24,318},{12,23,215},{9,39,724},{9,27,212},{9,24,7},{8,20,306},{0,28,724},{3,21,210},{14,35,203},{14,28,2},{15,24,22},{14,23,30},{28,1,723},{7,28,203},{10,23,4},{0,21,201},{47,5,723},{0,21,201},{12,32,202},{12,32,202},{12,32,202},{12,22,202},{9,31,165},{9,24,3},{9,24,3},{9,18,14},{2,24,164},{4,19,6},{14,28,1},
{14,28,1},{14,28,1},{14,21,1},{24,1,162},{10,23,0},{10,23,0},{6,18,5},{49,0,162},{6,18,5},{23,17,200},{14,28,1},{16,24,4},{10,23,4},{23,17,200},{63,0,200},{10,23,4},{0,21,200},{63,0,200},{0,21,200},{12,0,202},{12,0,202},{12,0,202},{12,0,202},{9,25,1},{9,25,1},{9,25,1},{9,17,2},{4,19,2},{4,19,2},{14,41,404},{14,32,215},{15,26,318},
{14,25,215},{11,41,724},{11,29,212},{11,26,7},{10,22,306},{2,30,724},{5,23,210},{16,37,200},{16,30,1},{17,26,24},{16,25,40},{31,1,723},{9,30,203},{12,25,4},{2,23,201},{47,8,723},{2,23,201},{14,34,202},{14,34,202},{14,34,202},{14,24,202},{11,33,163},{11,26,3},{11,26,3},{11,20,14},{4,26,164},{6,21,6},{16,30,0},{16,30,0},{16,30,0},{16,23,0},{27,1,162},
{12,25,0},{12,25,0},{8,20,5},{55,0,162},{8,20,5},{34,1,200},{16,30,1},{18,26,4},{12,25,4},{34,1,200},{63,3,200},{12,25,4},{0,23,200},{63,3,200},{0,23,200},{14,0,202},{14,0,202},{14,0,202},{14,0,202},{11,27,1},{11,27,1},{11,27,1},{11,19,2},{6,21,2},{6,21,2},{16,43,408},{16,34,216},{16,28,312},{16,27,221},{13,43,724},{13,31,212},{13,28,7},
{12,24,306},{4,32,724},{7,25,210},{18,39,200},{18,32,1},{19,28,24},{17,27,36},{34,0,723},{11,32,201},{14,27,4},{4,25,201},{47,11,723},{4,25,201},{16,35,209},{16,35,209},{16,35,209},{16,26,208},{13,35,163},{13,28,3},{13,28,3},{13,22,14},{6,28,164},{8,23,6},{18,31,1},{18,31,1},{18,31,1},{18,25,0},{30,1,162},{14,27,0},{14,27,0},{10,22,5},{61,0,162},
{10,22,5},{37,1,200},{18,32,1},{20,28,4},{14,27,4},{37,1,200},{63,6,200},{14,27,4},{0,25,200},{63,6,200},{0,25,200},{16,0,208},{16,0,208},{16,0,208},{16,0,208},{13,29,1},{13,29,1},{13,29,1},{13,21,2},{8,23,2},{8,23,2},{18,45,408},{18,36,216},{18,30,312},{17,29,216},{15,45,724},{15,33,210},{15,30,7},{14,26,306},{6,34,724},{9,27,210},{20,41,200},
{20,34,1},{21,30,24},{19,29,36},{37,0,723},{13,34,201},{16,29,5},{6,27,201},{47,14,723},{6,27,201},{18,37,209},{18,37,209},{18,37,209},{18,28,208},{15,37,163},{15,30,3},{15,30,3},{15,24,14},{8,30,164},{10,25,6},{20,33,1},{20,33,1},{20,33,1},{20,27,0},{33,1,162},{16,29,1},{16,29,1},{12,24,5},{63,2,162},{12,24,5},{40,1,200},{20,34,1},{22,30,4},
{16,29,4},{40,1,200},{63,9,200},{16,29,4},{0,27,200},{63,9,200},{0,27,200},{17,0,208},{17,0,208},{17,0,208},{17,0,208},{15,31,1},{15,31,1},{15,31,1},{15,23,2},{10,25,2},{10,25,2},{20,47,404},{20,38,212},{21,32,318},{20,31,215},{17,47,724},{17,35,212},{17,32,7},{16,29,308},{8,36,724},{11,29,210},{22,44,201},{22,36,2},{23,32,22},{22,31,35},{40,1,723},
{15,36,206},{17,32,6},{9,29,202},{63,9,723},{9,29,202},{20,40,202},{20,40,202},{20,40,202},{20,30,203},{17,39,165},{17,32,3},{17,32,3},{17,26,19},{10,32,164},{13,27,2},{22,36,1},{22,36,1},{22,36,1},{22,29,2},{31,12,162},{18,31,1},{18,31,1},{13,27,1},{62,6,162},{13,27,1},{44,0,200},{22,36,1},{24,32,4},{16,32,4},{44,0,200},{62,13,200},{16,32,4},
{0,29,202},{62,13,200},{0,29,202},{20,0,202},{20,0,202},{20,0,202},{20,0,202},{17,33,1},{17,33,1},{17,33,1},{17,25,1},{13,27,1},{13,27,1},{22,49,404},{22,40,212},{23,34,318},{22,33,215},{19,49,724},{19,37,212},{19,34,7},{18,31,308},{10,38,724},{13,31,210},{24,46,201},{24,38,2},{25,34,22},{24,33,30},{43,1,723},{17,38,203},{20,33,4},{11,31,202},{63,12,723},
{11,31,202},{22,42,202},{22,42,202},{22,42,202},{22,32,202},{19,41,165},{19,34,3},{19,34,3},{19,28,19},{12,34,164},{15,29,2},{24,38,1},{24,38,1},{24,38,1},{24,31,2},{31,18,162},{20,33,0},{20,33,0},{15,29,1},{62,9,162},{15,29,1},{47,0,200},{24,38,1},{26,34,4},{20,33,4},{47,0,200},{46,24,200},{20,33,4},{0,31,202},{46,24,200},{0,31,202},{22,0,202},
{22,0,202},{22,0,202},{22,0,202},{19,35,1},{19,35,1},{19,35,1},{19,27,1},{15,29,1},{15,29,1},{24,51,404},{24,42,212},{25,36,318},{24,35,215},{21,51,724},{21,39,212},{21,36,7},{20,32,306},{12,40,724},{15,33,213},{26,47,203},{26,40,2},{27,36,22},{26,35,30},{46,1,723},{19,40,203},{22,35,4},{13,33,200},{63,15,723},{13,33,200},{24,44,202},{24,44,202},{24,44,202},
{24,34,202},{21,43,165},{21,36,3},{21,36,3},{21,30,19},{14,36,164},{17,31,2},{26,40,1},{26,40,1},{26,40,1},{26,33,1},{34,17,162},{22,35,0},{22,35,0},{17,31,1},{62,12,162},{17,31,1},{49,1,200},{26,40,1},{28,36,4},{22,35,4},{49,1,200},{46,27,200},{22,35,4},{0,33,200},{46,27,200},{0,33,200},{24,0,202},{24,0,202},{24,0,202},{24,0,202},{21,37,1},
{21,37,1},{21,37,1},{21,29,1},{17,31,1},{17,31,1},{26,53,404},{26,44,212},{27,38,318},{26,37,215},{23,53,724},{23,41,212},{23,38,7},{22,34,306},{14,42,724},{17,35,210},{28,49,203},{28,42,2},{29,38,22},{28,37,30},{47,5,723},{21,42,203},{24,37,4},{15,35,200},{63,18,723},{15,35,200},{26,46,202},{26,46,202},{26,46,202},{26,36,202},{23,45,165},{23,38,3},{23,38,3},
{23,32,14},{16,38,164},{18,33,6},{28,42,1},{28,42,1},{28,42,1},{28,35,1},{37,17,162},{24,37,0},{24,37,0},{20,32,5},{62,15,162},{20,32,5},{52,1,200},{28,42,1},{30,38,4},{24,37,4},{52,1,200},{46,30,200},{24,37,4},{0,35,200},{46,30,200},{0,35,200},{26,0,202},{26,0,202},{26,0,202},{26,0,202},{23,39,1},{23,39,1},{23,39,1},{23,31,1},{18,33,2},
{18,33,2},{28,56,400},{28,46,216},{29,40,314},{28,39,213},{26,53,728},{25,44,215},{25,40,9},{25,37,306},{17,44,728},{19,37,210},{31,50,204},{30,45,4},{31,40,21},{30,39,29},{52,1,723},{24,44,201},{25,40,5},{17,37,202},{46,30,723},{17,37,202},{28,49,200},{28,49,200},{28,49,200},{28,38,201},{26,46,166},{26,39,6},{26,39,6},{25,34,17},{18,40,163},{21,35,2},{31,43,4},
{31,43,4},{31,43,4},{31,37,4},{49,0,162},{26,39,2},{26,39,2},{21,35,1},{62,18,162},{21,35,1},{56,0,200},{30,45,0},{32,40,2},{25,40,1},{56,0,200},{62,25,200},{25,40,1},{0,37,202},{62,25,200},{0,37,202},{28,0,200},{28,0,200},{28,0,200},{28,0,200},{26,39,5},{26,39,5},{26,39,5},{25,33,4},{21,35,1},{21,35,1},{30,58,400},{30,48,217},{31,42,314},
{30,41,213},{28,55,728},{27,46,215},{27,42,9},{27,39,306},{19,46,728},{21,39,210},{32,54,201},{32,47,3},{33,42,19},{32,41,35},{55,1,723},{26,46,201},{27,42,5},{19,39,202},{47,32,723},{19,39,202},{30,51,200},{30,51,200},{30,51,200},{30,40,201},{28,48,166},{28,41,6},{28,41,6},{27,36,17},{20,42,163},{23,37,2},{32,46,2},{32,46,2},{32,46,2},{32,39,2},{52,0,162},
{28,41,2},{28,41,2},{23,37,1},{62,21,162},{23,37,1},{59,0,200},{32,47,2},{34,42,2},{27,42,1},{59,0,200},{62,28,200},{27,42,1},{0,39,202},{62,28,200},{0,39,202},{30,0,200},{30,0,200},{30,0,200},{30,0,200},{28,41,5},{28,41,5},{28,41,5},{27,35,4},{23,37,1},{23,37,1},{32,60,402},{32,50,212},{32,44,324},{32,43,215},{30,57,728},{29,47,216},{29,44,9},
{29,41,306},{20,48,724},{23,41,210},{34,56,201},{34,48,2},{35,44,19},{34,43,35},{58,1,723},{28,48,201},{29,44,5},{21,41,202},{53,32,723},{21,41,202},{32,52,202},{32,52,202},{32,52,202},{32,42,203},{30,50,166},{30,43,6},{30,43,6},{29,38,17},{22,44,163},{25,39,2},{34,48,1},{34,48,1},{34,48,1},{34,41,2},{55,0,162},{30,43,2},{30,43,2},{25,39,1},{62,24,162},
{25,39,1},{62,0,200},{34,48,1},{36,44,2},{29,44,1},{62,0,200},{62,31,200},{29,44,1},{0,41,202},{62,31,200},{0,41,202},{32,0,202},{32,0,202},{32,0,202},{32,0,202},{30,43,5},{30,43,5},{30,43,5},{29,37,4},{25,39,1},{25,39,1},{34,62,402},{34,52,212},{34,46,324},{34,45,215},{31,61,728},{31,49,210},{31,46,9},{31,43,306},{22,50,724},{25,43,210},{36,58,201},
{36,50,2},{37,46,19},{36,45,35},{61,1,723},{30,50,201},{31,46,5},{23,43,202},{59,32,723},{23,43,202},{34,54,202},{34,54,202},{34,54,202},{34,44,203},{31,54,166},{31,46,8},{31,46,8},{31,40,17},{24,46,163},{27,41,2},{36,50,1},{36,50,1},{36,50,1},{36,43,2},{58,0,162},{32,45,1},{32,45,1},{27,41,1},{62,27,162},{27,41,1},{63,4,200},{36,50,1},{38,46,2},
{31,46,1},{63,4,200},{62,34,200},{31,46,1},{0,43,202},{62,34,200},{0,43,202},{34,0,202},{34,0,202},{34,0,202},{34,0,202},{31,47,5},{31,47,5},{31,47,5},{31,39,4},{27,41,1},{27,41,1},{36,63,408},{36,54,216},{37,48,314},{36,47,217},{34,62,727},{33,52,215},{33,48,9},{32,45,308},{24,53,723},{28,45,217},{39,58,206},{38,53,4},{39,48,21},{38,47,36},{63,4,723},
{32,52,201},{33,48,5},{26,45,208},{62,34,723},{26,45,208},{36,57,200},{36,57,200},{36,57,200},{36,47,201},{34,54,166},{33,48,8},{33,48,8},{33,43,20},{26,48,163},{29,43,1},{39,51,4},{39,51,4},{39,51,4},{39,45,4},{53,16,162},{35,47,4},{35,47,4},{30,43,0},{63,30,162},{30,43,0},{63,11,200},{38,53,0},{40,48,2},{33,48,1},{63,11,200},{47,45,200},{33,48,1},
{0,45,208},{47,45,200},{0,45,208},{36,0,200},{36,0,200},{36,0,200},{36,0,200},{34,47,5},{34,47,5},{34,47,5},{34,41,4},{29,43,1},{29,43,1},{39,63,440},{38,56,216},{39,50,314},{38,49,213},{36,63,728},{35,54,215},{35,50,9},{34,47,308},{26,55,723},{30,47,217},{41,60,206},{40,55,4},{41,50,21},{40,49,29},{63,10,723},{34,54,201},{35,50,5},{28,47,208},{62,37,723},
{28,47,208},{38,59,200},{38,59,200},{38,59,200},{38,48,201},{36,56,166},{36,49,6},{36,49,6},{35,45,20},{28,50,163},{31,45,1},{41,53,4},{41,53,4},{41,53,4},{41,47,4},{56,16,162},{36,49,2},{36,49,2},{32,45,0},{62,33,162},{32,45,0},{55,32,200},{40,55,0},{42,50,2},{35,50,1},{55,32,200},{46,48,200},{35,50,1},{0,47,208},{46,48,200},{0,47,208},{38,0,200},
{38,0,200},{38,0,200},{38,0,200},{36,49,5},{36,49,5},{36,49,5},{36,43,4},{31,45,1},{31,45,1},{41,63,482},{40,58,216},{41,52,314},{40,51,213},{39,63,760},{37,56,215},{37,52,9},{37,49,306},{28,57,723},{31,49,215},{43,62,206},{42,57,4},{43,52,21},{42,51,29},{63,16,723},{36,56,201},{37,52,5},{29,49,203},{62,40,723},{29,49,203},{40,61,200},{40,61,200},{40,61,200},
{40,50,201},{38,58,166},{38,51,6},{38,51,6},{37,47,20},{30,52,163},{33,47,1},{43,55,4},{43,55,4},{43,55,4},{43,49,4},{59,16,162},{38,51,2},{38,51,2},{34,47,0},{62,36,162},{34,47,0},{58,32,200},{42,57,0},{44,52,2},{37,52,1},{58,32,200},{52,48,200},{37,52,1},{0,49,202},{52,48,200},{0,49,202},{40,0,200},{40,0,200},{40,0,200},{40,0,200},{38,51,5},
{38,51,5},{38,51,5},{38,45,4},{33,47,1},{33,47,1},{43,63,530},{42,60,216},{43,54,314},{42,53,213},{41,63,799},{39,58,215},{39,54,9},{39,51,306},{30,59,723},{33,51,210},{45,63,212},{44,59,4},{45,54,21},{44,53,29},{63,22,723},{38,58,201},{39,54,5},{31,51,203},{62,43,723},{31,51,203},{42,63,200},{42,63,200},{42,63,200},{42,52,201},{40,60,166},{40,53,6},{40,53,6},
{39,48,17},{32,54,163},{35,49,2},{45,57,4},{45,57,4},{45,57,4},{45,51,4},{62,16,162},{40,53,2},{40,53,2},{35,49,1},{62,39,162},{35,49,1},{61,32,200},{44,59,0},{46,54,2},{39,54,1},{61,32,200},{58,48,200},{39,54,1},{0,51,202},{58,48,200},{0,51,202},{42,0,200},{42,0,200},{42,0,200},{42,0,200},{40,53,5},{40,53,5},{40,53,5},{40,47,4},{35,49,1},
{35,49,1},{46,63,626},{44,63,222},{45,57,315},{44,56,211},{44,63,869},{41,60,213},{42,56,2},{41,53,298},{32,61,723},{36,53,217},{48,63,244},{47,60,5},{47,56,26},{46,55,34},{61,32,723},{40,60,202},{42,56,1},{34,53,208},{58,48,723},{34,53,208},{44,63,218},{44,63,218},{44,63,218},{44,55,203},{42,63,163},{42,56,2},{42,56,2},{41,51,25},{35,56,163},{37,51,1},{47,60,1},
{47,60,1},{47,60,1},{47,53,2},{63,21,162},{42,56,1},{42,56,1},{38,51,0},{63,42,162},{38,51,0},{63,35,200},{46,61,2},{49,56,1},{41,56,1},{63,35,200},{63,49,200},{41,56,1},{0,53,208},{63,49,200},{0,53,208},{44,0,202},{44,0,202},{44,0,202},{44,0,202},{42,56,1},{42,56,1},{42,56,1},{42,49,1},{37,51,1},{37,51,1},{48,63,728},{47,63,238},{47,59,315},
{46,58,211},{46,63,937},{43,62,213},{44,58,2},{43,55,298},{34,63,723},{38,55,217},{50,63,286},{48,63,4},{49,58,20},{48,57,36},{63,34,723},{42,62,202},{44,58,1},{36,55,208},{62,49,723},{36,55,208},{47,63,234},{47,63,234},{47,63,234},{46,57,203},{44,63,181},{44,58,2},{44,58,2},{43,53,25},{37,58,163},{39,53,1},{49,61,4},{49,61,4},{49,61,4},{49,55,4},{63,27,162},
{44,58,1},{44,58,1},{40,53,0},{63,45,162},{40,53,0},{63,41,200},{48,63,0},{51,58,1},{43,58,1},{63,41,200},{63,52,200},{43,58,1},{0,55,208},{63,52,200},{0,55,208},{46,0,202},{46,0,202},{46,0,202},{46,0,202},{44,58,1},{44,58,1},{44,58,1},{44,51,1},{39,53,1},{39,53,1},{50,63,866},{49,63,317},{49,61,312},{48,60,216},{48,63,1048},{46,63,219},{46,60,2},
{45,57,298},{38,63,748},{40,57,217},{53,63,350},{51,63,20},{51,60,20},{50,59,36},{63,40,723},{46,63,218},{46,60,1},{38,57,208},{62,52,723},{38,57,208},{48,63,264},{48,63,264},{48,63,264},{48,59,201},{47,63,205},{46,60,2},{46,60,2},{45,55,25},{39,60,163},{41,55,1},{51,63,4},{51,63,4},{51,63,4},{51,57,4},{63,33,162},{46,60,1},{46,60,1},{42,55,0},{47,56,162},
{42,55,0},{63,47,200},{52,63,13},{53,60,1},{45,60,1},{63,47,200},{63,55,200},{45,60,1},{0,57,208},{63,55,200},{0,57,208},{48,0,200},{48,0,200},{48,0,200},{48,0,200},{46,60,1},{46,60,1},{46,60,1},{46,53,1},{41,55,1},{41,55,1},{53,63,1026},{51,63,440},{51,63,312},{50,62,216},{51,63,1144},{48,63,280},{48,62,5},{47,59,298},{43,63,827},{42,59,217},{55,63,428},
{54,63,100},{53,62,20},{52,61,36},{63,46,723},{49,63,266},{48,62,1},{40,59,208},{62,55,723},{40,59,208},{51,63,296},{51,63,296},{51,63,296},{50,61,201},{49,63,248},{48,62,5},{48,62,5},{47,57,25},{41,62,163},{43,57,1},{53,63,13},{53,63,13},{53,63,13},{53,59,4},{63,39,162},{48,62,1},{48,62,1},{44,57,0},{47,59,162},{44,57,0},{63,53,200},{55,63,53},{55,62,1},
{47,62,1},{63,53,200},{63,58,200},{47,62,1},{0,59,208},{63,58,200},{0,59,208},{50,0,200},{50,0,200},{50,0,200},{50,0,200},{48,62,4},{48,62,4},{48,62,4},{48,55,4},{43,57,1},{43,57,1},{54,63,955},{54,63,523},{53,63,362},{52,63,202},{54,63,1027},{51,63,283},{50,63,14},{49,60,198},{47,63,735},{44,61,118},{57,63,338},{56,63,141},{56,63,41},{55,63,17},{63,51,546},
{53,63,233},{51,63,2},{43,61,113},{63,57,546},{43,61,113},{53,63,362},{53,63,362},{53,63,362},{52,63,202},{51,63,315},{50,63,14},{50,63,14},{49,59,19},{44,63,171},{46,59,3},{56,63,41},{56,63,41},{56,63,41},{55,61,2},{61,49,162},{51,63,2},{51,63,2},{47,59,1},{63,54,162},{47,59,1},{63,57,113},{58,63,50},{57,63,1},{52,63,0},{63,57,113},{63,60,113},{52,63,0},
{0,61,113},{63,60,113},{0,61,113},{52,0,202},{52,0,202},{52,0,202},{52,0,202},{50,63,5},{50,63,5},{50,63,5},{50,57,2},{45,60,0},{45,60,0},{57,63,779},{56,63,542},{56,63,442},{54,63,227},{56,63,830},{54,63,251},{53,63,78},{51,62,70},{51,63,587},{47,62,25},{59,63,218},{58,63,123},{58,63,74},{57,63,2},{63,55,333},{56,63,145},{55,63,25},{47,62,25},{63,59,333},
{47,62,25},{56,63,442},{56,63,442},{56,63,442},{54,63,227},{54,63,371},{53,63,78},{53,63,78},{51,61,19},{48,63,219},{47,61,6},{58,63,74},{58,63,74},{58,63,74},{57,63,2},{63,51,162},{55,63,25},{55,63,25},{48,61,2},{63,57,162},{48,61,2},{63,60,25},{61,63,10},{60,63,1},{58,63,0},{63,60,25},{62,62,25},{58,63,0},{0,62,25},{62,62,25},{0,62,25},{54,0,202},
{54,0,202},{54,0,202},{54,0,202},{52,63,26},{52,63,26},{52,63,26},{52,59,2},{47,62,0},{47,62,0},{59,63,684},{57,63,538},{57,63,474},{57,63,282},{57,63,682},{56,63,285},{55,63,171},{53,63,18},{54,63,482},{49,63,5},{60,63,153},{60,63,105},{60,63,89},{59,63,37},{63,59,193},{58,63,107},{58,63,58},{50,63,1},{63,61,193},{50,63,1},{57,63,474},{57,63,474},{57,63,474},
{57,63,282},{57,63,426},{55,63,171},{55,63,171},{53,63,18},{52,63,278},{49,63,5},{60,63,89},{60,63,89},{60,63,89},{59,63,37},{63,57,145},{58,63,58},{58,63,58},{50,63,1},{63,60,145},{50,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{56,0,202},{56,0,202},{56,0,202},{56,0,202},{54,63,50},
{54,63,50},{54,63,50},{54,61,2},{49,63,5},{49,63,5},{60,63,426},{59,63,375},{59,63,339},{58,63,251},{59,63,415},{57,63,202},{57,63,138},{56,63,2},{55,63,295},{53,63,29},{62,63,43},{62,63,38},{62,63,34},{61,63,10},{63,61,54},{61,63,27},{60,63,17},{56,63,1},{63,62,54},{56,63,1},{59,63,339},{59,63,339},{59,63,339},{58,63,251},{59,63,294},{57,63,138},{57,63,138},
{56,63,2},{55,63,174},{53,63,29},{62,63,34},{62,63,34},{62,63,34},{61,63,10},{63,60,41},{60,63,17},{60,63,17},{56,63,1},{62,62,41},{56,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{58,0,202},{58,0,202},{58,0,202},{58,0,202},{57,63,74},{57,63,74},{57,63,74},{56,63,2},{53,63,29},
{53,63,29},{0,20,421},{0,14,50},{0,10,4},{0,9,157},{0,14,925},{0,9,589},{0,8,264},{0,6,701},{0,6,1005},{0,5,738},{0,20,421},{0,14,50},{0,10,4},{0,9,157},{7,0,925},{0,9,589},{0,8,264},{0,6,701},{14,0,925},{0,6,701},{0,10,0},{0,10,0},{0,10,0},{0,5,0},{0,5,85},{0,4,34},{0,4,34},{0,2,50},{0,2,93},{0,2,54},{0,10,0},
{0,10,0},{0,10,0},{0,5,0},{2,1,85},{0,4,34},{0,4,34},{0,2,50},{5,0,85},{0,2,50},{10,1,421},{0,14,50},{0,10,4},{0,9,157},{10,1,421},{20,0,421},{0,9,157},{0,7,421},{20,0,421},{0,7,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,26,421},{0,18,13},{0,13,20},
{0,11,100},{0,18,1261},{0,11,701},{0,10,294},{0,7,857},{0,8,1382},{0,7,938},{0,26,421},{0,18,13},{0,13,20},{0,11,100},{9,0,1261},{0,11,701},{0,10,294},{0,7,857},{18,0,1261},{0,7,857},{0,16,0},{0,16,0},{0,16,0},{0,8,0},{0,8,221},{0,6,89},{0,6,89},{0,4,125},{0,4,246},{0,4,150},{0,16,0},{0,16,0},{0,16,0},{0,8,0},{4,0,221},
{0,6,89},{0,6,89},{0,4,125},{8,0,221},{0,4,125},{13,1,421},{0,18,13},{2,12,4},{0,11,100},{13,1,421},{26,0,421},{0,11,100},{0,9,421},{26,0,421},{0,9,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,32,430},{0,22,10},{1,15,70},{0,13,70},{0,22,1517},{0,14,730},{0,13,257},
{0,9,974},{0,11,1713},{0,8,1109},{1,30,422},{1,21,5},{2,15,45},{0,13,70},{11,1,1514},{0,14,730},{0,13,257},{0,9,974},{15,4,1514},{0,9,974},{0,22,9},{0,22,9},{0,22,9},{0,11,9},{0,12,338},{0,9,106},{0,9,106},{0,5,181},{0,5,392},{0,5,217},{1,20,1},{1,20,1},{1,20,1},{1,10,2},{6,0,338},{0,9,106},{0,9,106},{0,5,181},{12,0,338},
{0,5,181},{16,0,421},{0,22,1},{4,14,4},{0,13,61},{16,0,421},{32,0,421},{0,13,61},{0,11,421},{32,0,421},{0,11,421},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,2},{0,1,2},{1,36,486},{1,24,69},{2,17,163},{1,16,115},{0,28,1517},{0,18,614},{0,15,126},{0,11,857},{0,14,1841},{0,11,1053},{3,32,422},
{3,23,5},{3,17,46},{2,15,70},{14,1,1514},{0,18,614},{0,15,126},{0,11,857},{15,7,1514},{0,11,857},{1,26,65},{1,26,65},{1,26,65},{1,13,66},{0,18,338},{0,13,45},{0,13,45},{0,8,125},{0,8,456},{0,7,211},{3,22,1},{3,22,1},{3,22,1},{3,12,2},{9,0,338},{0,13,45},{0,13,45},{0,8,125},{18,0,338},{0,8,125},{19,0,421},{2,24,1},{6,16,1},
{0,16,37},{19,0,421},{38,0,421},{0,16,37},{0,13,421},{38,0,421},{0,13,421},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,3,25},{0,3,25},{3,39,629},{3,27,213},{3,20,365},{2,18,237},{0,35,1514},{0,22,506},{0,18,24},{0,14,750},{0,16,2003},{0,13,1050},{5,35,421},{5,25,2},{6,19,45},{5,17,72},{17,1,1514},
{0,22,506},{0,18,24},{0,14,750},{35,0,1514},{0,14,750},{3,28,209},{3,28,209},{3,28,209},{2,16,208},{0,25,338},{0,17,9},{0,17,9},{0,10,72},{0,11,566},{0,10,241},{5,24,1},{5,24,1},{5,24,1},{5,15,0},{12,1,338},{0,17,9},{0,17,9},{0,10,72},{25,0,338},{0,10,72},{22,1,421},{4,26,1},{8,18,5},{0,18,8},{22,1,421},{45,0,421},{0,18,8},
{0,15,421},{45,0,421},{0,15,421},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{0,15,0},{0,15,0},{0,15,0},{0,8,1},{0,6,80},{0,6,80},{4,43,821},{4,30,418},{5,22,621},{3,20,420},{0,41,1514},{0,25,450},{0,20,5},{0,16,670},{0,19,2187},{0,15,1109},{7,37,421},{7,27,2},{8,21,45},{7,19,72},{20,1,1514},{0,25,450},{0,20,5},{0,16,670},{41,0,1514},
{0,16,670},{4,32,400},{4,32,400},{4,32,400},{4,18,400},{0,31,338},{0,20,1},{0,20,1},{0,13,40},{0,14,694},{0,11,297},{7,26,1},{7,26,1},{7,26,1},{7,17,1},{15,1,338},{0,20,1},{0,20,1},{0,13,40},{31,0,338},{0,13,40},{25,1,421},{6,28,1},{10,20,5},{0,20,4},{25,1,421},{51,0,421},{0,20,4},{0,17,421},{51,0,421},{0,17,421},{3,0,400},
{3,0,400},{3,0,400},{3,0,400},{0,21,0},{0,21,0},{0,21,0},{0,11,1},{0,8,149},{0,8,149},{5,47,846},{6,32,451},{6,23,662},{5,22,445},{2,43,1515},{1,28,446},{2,22,6},{0,18,638},{0,22,2046},{0,18,878},{9,39,421},{9,29,2},{10,23,45},{9,21,72},{23,1,1514},{0,28,426},{2,22,5},{0,18,589},{47,0,1514},{0,18,589},{5,36,425},{5,36,425},{5,36,425},
{5,21,426},{2,32,341},{2,22,2},{2,22,2},{1,15,38},{0,16,606},{0,14,158},{9,28,1},{9,28,1},{9,28,1},{9,19,1},{15,7,338},{2,22,1},{2,22,1},{0,15,20},{31,3,338},{0,15,20},{28,1,421},{8,30,1},{12,22,5},{2,22,4},{28,1,421},{57,0,421},{2,22,4},{0,19,421},{57,0,421},{0,19,421},{5,0,425},{5,0,425},{5,0,425},{5,0,425},{2,23,1},
{2,23,1},{2,23,1},{2,13,2},{0,12,97},{0,12,97},{7,49,846},{8,33,450},{8,25,662},{7,24,445},{4,45,1515},{3,30,446},{4,24,6},{2,20,638},{0,25,1886},{0,19,682},{11,41,421},{11,31,2},{12,25,45},{11,23,72},{26,1,1514},{1,31,421},{4,24,5},{0,20,545},{53,0,1514},{0,20,545},{7,38,425},{7,38,425},{7,38,425},{7,23,426},{4,34,341},{4,24,2},{4,24,2},
{4,16,42},{0,20,500},{0,16,62},{11,30,1},{11,30,1},{11,30,1},{11,21,1},{15,13,338},{4,24,1},{4,24,1},{0,17,5},{31,6,338},{0,17,5},{31,1,421},{10,32,1},{14,24,5},{4,24,4},{31,1,421},{63,0,421},{4,24,4},{0,21,421},{63,0,421},{0,21,421},{7,0,425},{7,0,425},{7,0,425},{7,0,425},{4,25,1},{4,25,1},{4,25,1},{4,15,2},{0,16,37},
{0,16,37},{10,49,846},{10,36,445},{11,28,650},{10,26,450},{6,47,1517},{5,32,446},{6,27,3},{4,22,646},{0,29,1751},{0,22,522},{13,44,422},{13,34,3},{14,27,46},{13,26,74},{30,0,1514},{3,33,422},{6,27,3},{0,22,497},{46,7,1514},{0,22,497},{10,39,425},{10,39,425},{10,39,425},{10,24,426},{6,37,338},{6,27,2},{6,27,2},{6,19,40},{0,24,410},{0,19,9},{13,33,1},
{13,33,1},{13,33,1},{13,23,1},{24,1,338},{7,26,0},{7,26,0},{1,19,5},{49,0,338},{1,19,5},{35,0,421},{12,34,1},{16,27,1},{5,27,1},{35,0,421},{63,3,421},{5,27,1},{0,23,421},{63,3,421},{0,23,421},{10,0,425},{10,0,425},{10,0,425},{10,0,425},{6,28,0},{6,28,0},{6,28,0},{6,17,1},{0,19,5},{0,19,5},{12,51,846},{12,38,445},{13,30,650},
{12,28,450},{8,49,1517},{7,34,446},{8,29,3},{6,24,646},{0,32,1647},{0,25,458},{15,46,422},{15,36,3},{16,29,42},{15,28,74},{32,1,1514},{5,35,422},{8,29,3},{0,25,457},{46,10,1514},{0,25,457},{12,41,425},{12,41,425},{12,41,425},{12,26,426},{8,39,338},{8,29,2},{8,29,2},{8,21,40},{0,27,362},{1,22,5},{15,35,1},{15,35,1},{15,35,1},{15,25,1},{27,1,338},
{9,28,0},{9,28,0},{3,21,5},{55,0,338},{3,21,5},{38,0,421},{14,36,1},{18,29,1},{7,29,1},{38,0,421},{63,6,421},{7,29,1},{0,25,421},{63,6,421},{0,25,421},{12,0,425},{12,0,425},{12,0,425},{12,0,425},{8,30,0},{8,30,0},{8,30,0},{8,19,1},{1,22,1},{1,22,1},{14,53,846},{14,40,445},{15,32,661},{14,30,450},{10,51,1517},{9,36,446},{10,31,3},
{8,26,646},{0,35,1575},{0,27,446},{17,47,421},{17,37,2},{18,31,42},{17,30,73},{35,1,1514},{7,37,422},{10,31,3},{0,27,430},{46,13,1514},{0,27,430},{14,43,425},{14,43,425},{14,43,425},{14,28,426},{10,41,338},{10,31,2},{10,31,2},{10,23,40},{0,31,341},{3,24,5},{17,36,1},{17,36,1},{17,36,1},{17,27,0},{30,1,338},{11,30,0},{11,30,0},{5,23,5},{61,0,338},
{5,23,5},{41,0,421},{16,38,1},{20,31,1},{9,31,1},{41,0,421},{63,9,421},{9,31,1},{0,27,421},{63,9,421},{0,27,421},{14,0,425},{14,0,425},{14,0,425},{14,0,425},{10,31,1},{10,31,1},{10,31,1},{10,21,1},{3,24,1},{3,24,1},{16,55,854},{16,42,451},{16,33,662},{15,32,446},{12,53,1517},{11,38,446},{12,32,9},{10,28,646},{0,39,1533},{2,29,446},{19,49,421},
{19,39,2},{20,33,45},{18,31,81},{38,1,1514},{9,39,422},{13,32,6},{0,29,422},{45,16,1514},{0,29,422},{15,47,433},{15,47,433},{15,47,433},{15,31,433},{12,43,338},{12,32,5},{12,32,5},{12,25,40},{1,33,339},{5,26,5},{19,38,1},{19,38,1},{19,38,1},{19,29,0},{33,1,338},{13,32,2},{13,32,2},{7,25,5},{63,2,338},{7,25,5},{44,0,421},{18,40,1},{22,32,5},
{12,32,5},{44,0,421},{63,12,421},{12,32,5},{0,29,421},{63,12,421},{0,29,421},{15,0,433},{15,0,433},{15,0,433},{15,0,433},{12,33,1},{12,33,1},{12,33,1},{12,23,1},{5,26,1},{5,26,1},{18,58,846},{18,44,445},{19,36,650},{18,34,450},{14,56,1515},{14,40,447},{14,35,7},{13,31,646},{0,42,1515},{5,31,445},{21,52,422},{21,42,2},{22,35,46},{21,34,74},{42,0,1514},
{12,41,422},{14,35,6},{2,31,425},{62,11,1514},{2,31,425},{18,47,425},{18,47,425},{18,47,425},{18,32,426},{14,46,339},{14,35,6},{14,35,6},{14,27,35},{4,35,341},{8,28,5},{21,41,1},{21,41,1},{21,41,1},{21,31,2},{31,12,338},{15,34,0},{15,34,0},{8,28,1},{62,6,338},{8,28,1},{47,0,421},{21,42,1},{24,35,1},{13,35,1},{47,0,421},{62,16,421},{13,35,1},
{0,31,425},{62,16,421},{0,31,425},{18,0,425},{18,0,425},{18,0,425},{18,0,425},{14,36,1},{14,36,1},{14,36,1},{14,25,1},{7,29,1},{7,29,1},{20,60,846},{20,46,445},{21,38,650},{20,36,450},{16,58,1514},{16,41,449},{16,37,3},{15,32,630},{2,44,1515},{7,33,441},{23,54,422},{23,44,2},{24,37,46},{23,36,74},{45,0,1514},{14,43,422},{16,37,3},{4,33,421},{62,14,1514},
{4,33,421},{20,49,425},{20,49,425},{20,49,425},{20,34,426},{16,47,340},{16,37,2},{16,37,2},{16,29,34},{6,37,341},{10,30,5},{23,43,1},{23,43,1},{23,43,1},{23,33,1},{31,18,338},{17,36,0},{17,36,0},{10,30,1},{62,9,338},{10,30,1},{50,0,421},{23,44,1},{26,37,1},{15,37,1},{50,0,421},{62,19,421},{15,37,1},{0,33,421},{62,19,421},{0,33,421},{20,0,425},
{20,0,425},{20,0,425},{20,0,425},{16,38,0},{16,38,0},{16,38,0},{16,27,0},{9,31,1},{9,31,1},{22,62,846},{22,48,445},{23,40,650},{22,38,450},{18,60,1514},{18,43,449},{18,39,3},{16,34,646},{4,46,1515},{9,35,441},{25,56,422},{25,46,2},{26,39,46},{25,38,74},{47,2,1514},{16,45,425},{18,39,3},{6,35,421},{62,17,1514},{6,35,421},{22,51,425},{22,51,425},{22,51,425},
{22,36,426},{18,49,338},{18,39,2},{18,39,2},{18,31,34},{8,39,341},{11,32,6},{25,45,1},{25,45,1},{25,45,1},{25,35,1},{34,17,338},{19,38,0},{19,38,0},{12,32,4},{62,12,338},{12,32,4},{53,0,421},{25,46,1},{28,39,1},{17,39,1},{53,0,421},{62,22,421},{17,39,1},{0,35,421},{62,22,421},{0,35,421},{22,0,425},{22,0,425},{22,0,425},{22,0,425},{18,40,0},
{18,40,0},{18,40,0},{18,29,0},{11,32,2},{11,32,2},{24,63,850},{24,50,445},{25,42,650},{24,40,450},{20,62,1514},{20,45,449},{20,41,3},{18,36,646},{6,48,1517},{11,37,441},{27,58,422},{27,48,3},{28,41,46},{27,40,74},{47,8,1514},{18,47,425},{20,41,3},{8,37,421},{62,20,1514},{8,37,421},{24,53,425},{24,53,425},{24,53,425},{24,38,426},{20,51,338},{20,41,2},{20,41,2},
{20,33,40},{10,41,341},{13,34,6},{27,47,1},{27,47,1},{27,47,1},{27,37,1},{37,17,338},{21,40,0},{21,40,0},{14,34,4},{62,15,338},{14,34,4},{56,0,421},{26,48,1},{30,41,1},{19,41,1},{56,0,421},{62,25,421},{19,41,1},{0,37,421},{62,25,421},{0,37,421},{24,0,425},{24,0,425},{24,0,425},{24,0,425},{20,42,0},{20,42,0},{20,42,0},{20,31,0},{13,34,2},
{13,34,2},{26,63,882},{26,52,447},{27,44,646},{26,42,446},{23,62,1526},{22,48,447},{22,43,5},{21,39,646},{8,50,1515},{13,39,443},{30,58,425},{29,50,4},{30,44,45},{29,42,69},{54,0,1514},{20,49,422},{22,43,4},{10,39,426},{47,31,1514},{10,39,426},{26,56,421},{26,56,421},{26,56,421},{26,41,421},{22,54,339},{22,43,5},{22,43,5},{22,35,35},{12,43,338},{16,36,5},{30,48,4},
{30,48,4},{30,48,4},{30,39,4},{49,0,338},{23,42,2},{23,42,2},{16,36,1},{62,18,338},{16,36,1},{59,0,421},{29,50,0},{32,43,1},{22,43,0},{59,0,421},{62,28,421},{22,43,0},{0,39,425},{62,28,421},{0,39,425},{26,0,421},{26,0,421},{26,0,421},{26,0,421},{22,44,2},{22,44,2},{22,44,2},{22,33,1},{15,37,1},{15,37,1},{29,63,922},{28,54,447},{29,46,646},
{28,44,446},{25,63,1535},{24,50,447},{24,45,5},{23,41,646},{10,52,1515},{15,41,443},{31,62,425},{31,52,4},{32,45,45},{31,44,69},{57,0,1514},{22,51,422},{24,45,4},{12,41,426},{50,32,1514},{12,41,426},{28,58,421},{28,58,421},{28,58,421},{28,43,421},{24,56,339},{24,45,5},{24,45,5},{24,37,35},{14,45,338},{18,38,5},{31,52,4},{31,52,4},{31,52,4},{31,41,5},{52,0,338},
{25,44,2},{25,44,2},{18,38,1},{62,21,338},{18,38,1},{62,0,421},{31,52,0},{34,45,1},{24,45,0},{62,0,421},{62,31,421},{24,45,0},{0,41,425},{62,31,421},{0,41,425},{28,0,421},{28,0,421},{28,0,421},{28,0,421},{24,46,2},{24,46,2},{24,46,2},{24,35,1},{17,39,1},{17,39,1},{31,63,994},{30,56,447},{31,48,655},{30,46,446},{28,63,1575},{26,52,447},{26,47,5},
{25,43,646},{12,54,1515},{17,43,445},{33,63,426},{33,54,2},{34,47,45},{33,46,66},{60,0,1514},{24,53,422},{26,47,4},{14,43,426},{56,32,1514},{14,43,426},{30,60,421},{30,60,421},{30,60,421},{30,45,421},{26,58,339},{26,47,5},{26,47,5},{26,39,35},{16,47,338},{20,40,5},{33,53,1},{33,53,1},{33,53,1},{33,43,2},{55,0,338},{27,46,2},{27,46,2},{20,40,1},{62,24,338},
{20,40,1},{63,4,421},{33,54,1},{36,47,1},{26,47,0},{63,4,421},{62,34,421},{26,47,0},{0,43,425},{62,34,421},{0,43,425},{30,0,421},{30,0,421},{30,0,421},{30,0,421},{26,48,1},{26,48,1},{26,48,1},{26,37,1},{19,41,1},{19,41,1},{33,63,1082},{32,58,445},{33,50,650},{32,48,450},{30,63,1638},{28,54,447},{28,49,7},{27,45,646},{14,56,1515},{19,45,445},{36,63,434},
{35,56,2},{36,49,46},{35,48,74},{63,0,1514},{26,55,422},{28,49,6},{16,45,425},{62,32,1514},{16,45,425},{32,61,425},{32,61,425},{32,61,425},{32,47,426},{28,60,339},{28,49,6},{28,49,6},{28,41,35},{18,49,341},{22,42,5},{35,55,1},{35,55,1},{35,55,1},{35,45,2},{58,0,338},{29,48,0},{29,48,0},{22,42,1},{62,27,338},{22,42,1},{63,10,421},{35,56,1},{38,49,1},
{27,49,1},{63,10,421},{62,37,421},{27,49,1},{0,45,425},{62,37,421},{0,45,425},{32,0,425},{32,0,425},{32,0,425},{32,0,425},{28,50,1},{28,50,1},{28,50,1},{28,39,1},{21,43,1},{21,43,1},{36,63,1206},{34,61,446},{35,52,646},{34,50,446},{33,63,1710},{30,56,445},{31,51,5},{29,47,638},{17,58,1515},{22,47,450},{39,63,469},{37,58,5},{38,52,45},{37,50,69},{63,7,1514},
{27,58,422},{31,51,1},{19,47,433},{63,35,1514},{19,47,433},{34,63,422},{34,63,422},{34,63,422},{34,49,421},{31,61,342},{31,51,5},{31,51,5},{30,43,36},{20,51,338},{24,44,2},{38,56,4},{38,56,4},{38,56,4},{38,47,4},{53,16,338},{31,51,1},{31,51,1},{25,44,0},{63,30,338},{25,44,0},{63,17,421},{37,58,1},{40,51,1},{30,51,0},{63,17,421},{63,40,421},{30,51,0},
{0,47,433},{63,40,421},{0,47,433},{34,0,421},{34,0,421},{34,0,421},{34,0,421},{31,51,4},{31,51,4},{31,51,4},{31,41,4},{23,45,1},{23,45,1},{38,63,1350},{36,63,446},{37,54,646},{36,52,446},{36,63,1814},{32,58,447},{32,53,5},{31,48,638},{19,60,1515},{23,49,443},{41,63,517},{39,60,5},{40,54,45},{39,52,69},{63,13,1514},{29,60,422},{32,53,4},{20,49,426},{63,38,1514},
{20,49,426},{36,63,437},{36,63,437},{36,63,437},{36,51,421},{33,62,347},{32,53,5},{32,53,5},{32,45,33},{22,53,338},{26,46,2},{40,58,4},{40,58,4},{40,58,4},{40,49,4},{56,16,338},{33,52,2},{33,52,2},{27,46,0},{62,33,338},{27,46,0},{63,23,421},{39,60,1},{42,53,1},{32,53,0},{63,23,421},{63,43,421},{32,53,0},{0,49,425},{63,43,421},{0,49,425},{36,0,421},
{36,0,421},{36,0,421},{36,0,421},{32,54,2},{32,54,2},{32,54,2},{32,43,2},{25,47,1},{25,47,1},{40,63,1466},{38,63,474},{39,56,646},{38,54,446},{38,63,1931},{34,60,447},{34,55,5},{33,51,646},{21,62,1515},{25,51,443},{43,63,569},{41,62,5},{42,56,45},{41,54,69},{63,19,1514},{32,61,422},{34,55,4},{22,51,426},{63,41,1514},{22,51,426},{38,63,470},{38,63,470},{38,63,470},
{38,53,421},{35,63,355},{34,55,5},{34,55,5},{34,47,33},{24,55,338},{28,48,3},{42,60,4},{42,60,4},{42,60,4},{42,51,4},{59,16,338},{35,54,2},{35,54,2},{28,48,2},{62,36,338},{28,48,2},{63,29,421},{41,62,1},{44,55,1},{34,55,0},{63,29,421},{63,46,421},{34,55,0},{0,51,425},{63,46,421},{0,51,425},{38,0,421},{38,0,421},{38,0,421},{38,0,421},{34,56,2},
{34,56,2},{34,56,2},{34,45,2},{27,49,1},{27,49,1},{43,63,1634},{41,63,546},{41,58,646},{40,56,446},{40,63,2039},{36,62,447},{36,57,5},{35,53,646},{24,63,1521},{27,53,443},{46,63,633},{44,63,9},{44,58,45},{43,56,69},{63,25,1514},{34,63,422},{36,57,4},{24,53,426},{63,44,1514},{24,53,426},{40,63,502},{40,63,502},{40,63,502},{40,55,421},{37,63,379},{36,57,5},{36,57,5},
{36,49,35},{26,57,338},{30,50,3},{44,62,4},{44,62,4},{44,62,4},{44,53,4},{62,16,338},{37,56,2},{37,56,2},{30,50,2},{62,39,338},{30,50,2},{63,34,421},{44,63,5},{46,57,1},{36,57,0},{63,34,421},{62,49,421},{36,57,0},{0,53,425},{62,49,421},{0,53,425},{40,0,421},{40,0,421},{40,0,421},{40,0,421},{36,58,2},{36,58,2},{36,58,2},{36,47,2},{29,51,1},
{29,51,1},{45,63,1866},{43,63,689},{43,60,650},{42,59,447},{43,63,2201},{38,63,469},{39,59,6},{37,55,638},{29,63,1590},{30,55,450},{48,63,741},{46,63,69},{46,60,46},{45,58,70},{62,33,1514},{38,63,465},{39,59,2},{25,56,425},{61,48,1514},{25,56,425},{43,63,545},{43,63,545},{43,63,545},{42,57,422},{40,63,424},{39,59,5},{39,59,5},{38,51,36},{29,59,339},{32,52,2},{46,63,5},
{46,63,5},{46,63,5},{46,55,2},{63,21,338},{39,59,1},{39,59,1},{33,52,0},{63,42,338},{33,52,0},{63,41,421},{48,63,41},{49,59,2},{38,59,2},{63,41,421},{63,52,421},{38,59,2},{0,56,425},{63,52,421},{0,56,425},{42,0,421},{42,0,421},{42,0,421},{42,0,421},{39,59,4},{39,59,4},{39,59,4},{39,49,4},{31,53,1},{31,53,1},{48,63,2070},{46,63,889},{45,62,650},
{44,61,447},{46,63,2361},{41,63,573},{41,61,6},{39,57,638},{32,63,1710},{32,57,450},{51,63,837},{49,63,184},{48,62,49},{47,60,70},{63,37,1514},{43,63,545},{41,61,2},{27,58,425},{63,50,1514},{27,58,425},{45,63,614},{45,63,614},{45,63,614},{44,59,422},{43,63,488},{41,61,5},{41,61,5},{40,53,36},{31,61,339},{34,54,2},{48,63,20},{48,63,20},{48,63,20},{48,57,4},{63,27,338},
{41,61,1},{41,61,1},{35,54,0},{63,45,338},{35,54,0},{63,47,421},{51,63,97},{51,61,2},{40,61,2},{63,47,421},{63,55,421},{40,61,2},{0,58,425},{63,55,421},{0,58,425},{44,0,421},{44,0,421},{44,0,421},{44,0,421},{41,61,4},{41,61,4},{41,61,4},{41,51,4},{33,55,1},{33,55,1},{50,63,2239},{48,63,1109},{47,63,701},{46,62,441},{48,63,2469},{44,63,720},{43,63,5},
{41,59,605},{37,63,1804},{34,59,417},{54,63,916},{51,63,308},{51,63,52},{49,62,56},{63,43,1459},{46,63,618},{43,63,1},{31,59,400},{63,53,1459},{31,59,400},{47,63,701},{47,63,701},{47,63,701},{46,61,422},{45,63,566},{43,63,5},{43,63,5},{42,55,36},{32,63,341},{36,56,2},{51,63,52},{51,63,52},{51,63,52},{50,59,4},{63,33,338},{43,63,1},{43,63,1},{37,56,0},{47,56,338},
{37,56,0},{63,53,392},{55,63,157},{53,63,1},{42,63,1},{63,53,392},{63,58,392},{42,63,1},{0,59,400},{63,58,392},{0,59,400},{46,0,421},{46,0,421},{46,0,421},{46,0,421},{43,63,4},{43,63,4},{43,63,4},{43,53,4},{35,57,1},{35,57,1},{51,63,1901},{50,63,1114},{49,63,785},{48,63,421},{51,63,2093},{46,63,574},{45,63,38},{44,60,356},{40,63,1476},{36,60,213},{55,63,684},
{54,63,260},{53,63,85},{51,63,20},{63,47,1064},{49,63,426},{47,63,8},{35,60,208},{63,55,1064},{35,60,208},{49,63,785},{49,63,785},{49,63,785},{48,63,421},{48,63,661},{45,63,38},{45,63,38},{44,57,36},{37,63,371},{38,58,2},{53,63,85},{53,63,85},{53,63,85},{52,61,4},{63,39,338},{47,63,8},{47,63,8},{39,58,0},{47,59,338},{39,58,0},{63,56,200},{57,63,80},{56,63,1},
{48,63,0},{63,56,200},{62,60,200},{48,63,0},{0,60,208},{62,60,200},{0,60,208},{48,0,421},{48,0,421},{48,0,421},{48,0,421},{45,63,13},{45,63,13},{45,63,13},{45,55,4},{37,59,1},{37,59,1},{54,63,1646},{52,63,1119},{51,63,886},{50,63,470},{53,63,1761},{48,63,526},{48,63,126},{46,61,146},{44,63,1218},{39,62,69},{57,63,450},{56,63,245},{56,63,145},{54,63,2},{63,51,722},
{52,63,290},{51,63,50},{38,62,65},{63,57,722},{38,62,65},{51,63,886},{51,63,886},{51,63,886},{50,63,470},{50,63,776},{48,63,126},{48,63,126},{47,59,42},{41,63,446},{40,60,5},{56,63,145},{56,63,145},{56,63,145},{54,63,2},{61,49,338},{51,63,50},{51,63,50},{42,60,1},{63,54,338},{42,60,1},{63,59,61},{60,63,25},{59,63,0},{55,63,0},{63,59,61},{63,61,61},{55,63,0},
{0,62,65},{63,61,61},{0,62,65},{50,0,421},{50,0,421},{50,0,421},{50,0,421},{48,63,45},{48,63,45},{48,63,45},{47,57,2},{40,61,1},{40,61,1},{56,63,1518},{54,63,1118},{54,63,974},{52,63,565},{54,63,1526},{51,63,534},{51,63,278},{48,62,57},{47,63,1090},{42,63,10},{59,63,354},{58,63,251},{57,63,194},{56,63,50},{63,55,509},{55,63,234},{54,63,106},{42,63,9},{63,59,509},
{42,63,9},{54,63,974},{54,63,974},{54,63,974},{52,63,565},{53,63,904},{51,63,278},{51,63,278},{48,61,38},{44,63,574},{42,62,5},{57,63,194},{57,63,194},{57,63,194},{56,63,50},{63,51,338},{54,63,106},{54,63,106},{44,62,1},{63,57,338},{44,62,1},{63,62,5},{62,63,4},{62,63,0},{61,63,0},{63,62,5},{62,63,5},{61,63,0},{0,63,9},{62,63,5},{0,63,9},{52,0,421},
{52,0,421},{52,0,421},{52,0,421},{50,63,72},{50,63,72},{50,63,72},{49,59,5},{42,63,1},{42,63,1},{57,63,1197},{56,63,994},{56,63,894},{54,63,565},{56,63,1210},{54,63,493},{53,63,332},{50,63,13},{51,63,861},{45,63,17},{60,63,209},{60,63,161},{60,63,145},{58,63,50},{63,58,294},{58,63,147},{57,63,89},{47,63,1},{62,61,294},{47,63,1},{56,63,894},{56,63,894},{56,63,894},
{54,63,565},{54,63,781},{53,63,332},{53,63,332},{50,63,13},{48,63,501},{45,63,17},{60,63,145},{60,63,145},{60,63,145},{58,63,50},{63,55,221},{57,63,89},{57,63,89},{47,63,1},{63,59,221},{47,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{54,0,421},{54,0,421},{54,0,421},{54,0,421},{52,63,117},
{52,63,117},{52,63,117},{51,61,5},{45,63,17},{45,63,17},{58,63,925},{57,63,765},{57,63,701},{57,63,509},{57,63,845},{55,63,423},{54,63,301},{53,63,5},{52,63,598},{49,63,52},{61,63,97},{61,63,70},{61,63,61},{60,63,17},{63,60,113},{60,63,57},{59,63,40},{53,63,1},{62,62,113},{53,63,1},{57,63,701},{57,63,701},{57,63,701},{57,63,509},{57,63,589},{54,63,301},{54,63,301},
{53,63,5},{51,63,365},{49,63,52},{61,63,61},{61,63,61},{61,63,61},{60,63,17},{63,58,85},{59,63,40},{59,63,40},{53,63,1},{62,61,85},{53,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{56,0,421},{56,0,421},{56,0,421},{56,0,421},{54,63,157},{54,63,157},{54,63,157},{53,63,5},{49,63,52},
{49,63,52},{0,29,882},{0,21,116},{0,15,4},{0,13,320},{0,19,1899},{0,14,1214},{0,11,573},{0,8,1421},{0,9,2052},{0,8,1521},{0,29,882},{0,21,116},{0,15,4},{0,13,320},{10,0,1896},{0,14,1214},{0,11,573},{0,8,1421},{14,3,1896},{0,8,1421},{0,14,0},{0,14,0},{0,14,0},{0,7,0},{0,7,162},{0,5,61},{0,5,61},{0,3,100},{0,3,180},{0,3,116},{0,14,0},
{0,14,0},{0,14,0},{0,7,0},{3,1,162},{0,5,61},{0,5,61},{0,3,100},{7,0,162},{0,3,100},{6,17,882},{0,21,116},{0,15,4},{0,13,320},{6,17,882},{29,0,882},{0,13,320},{0,10,884},{29,0,882},{0,10,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,35,882},{0,25,50},{0,17,10},
{0,15,260},{0,23,2355},{0,16,1355},{0,14,589},{0,10,1656},{0,11,2567},{0,10,1825},{0,35,882},{0,25,50},{0,17,10},{0,15,260},{3,17,2355},{0,16,1355},{0,14,589},{0,10,1656},{23,0,2355},{0,10,1656},{0,19,1},{0,19,1},{0,19,1},{0,10,0},{0,10,338},{0,8,125},{0,8,125},{0,4,200},{0,5,374},{0,4,225},{0,19,1},{0,19,1},{0,19,1},{0,10,0},{5,0,338},
{0,8,125},{0,8,125},{0,4,200},{10,0,338},{0,4,200},{17,1,882},{0,25,50},{1,17,2},{0,15,260},{17,1,882},{35,0,882},{0,15,260},{0,12,884},{35,0,882},{0,12,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,41,882},{0,28,10},{1,19,69},{0,17,193},{0,28,2899},{0,19,1539},{0,16,643},
{0,11,1965},{0,13,3209},{0,11,2161},{0,41,882},{0,28,10},{1,19,53},{0,17,193},{14,0,2899},{0,19,1539},{0,16,643},{0,11,1965},{28,0,2899},{0,11,1965},{0,25,1},{0,25,1},{0,25,1},{0,13,0},{0,13,578},{0,11,221},{0,11,221},{0,6,356},{0,6,644},{0,5,401},{0,25,1},{0,25,1},{0,25,1},{0,13,0},{6,1,578},{0,11,221},{0,11,221},{0,6,356},{13,0,578},
{0,6,356},{20,1,882},{0,28,10},{3,19,2},{0,17,193},{20,1,882},{41,0,882},{0,17,193},{0,14,884},{41,0,882},{0,14,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,45,902},{1,31,24},{1,21,142},{0,19,166},{0,33,3048},{0,22,1443},{0,18,481},{0,13,1908},{0,16,3492},{0,13,2197},{2,43,886},
{1,31,8},{3,21,73},{1,19,153},{16,1,3048},{0,22,1443},{0,18,481},{0,13,1908},{33,0,3048},{0,13,1908},{1,29,21},{1,29,21},{1,29,21},{1,15,21},{0,18,648},{0,14,169},{0,14,169},{0,8,325},{0,8,766},{0,7,421},{2,27,5},{2,27,5},{2,27,5},{2,15,4},{9,0,648},{0,14,169},{0,14,169},{0,8,325},{18,0,648},{0,8,325},{23,1,882},{0,31,2},{5,21,2},
{0,19,130},{23,1,882},{47,0,882},{0,19,130},{0,16,890},{47,0,882},{0,16,890},{1,0,20},{1,0,20},{1,0,20},{1,0,20},{0,5,0},{0,5,0},{0,5,0},{0,2,1},{0,2,5},{0,2,5},{2,49,997},{2,34,114},{3,24,290},{1,22,234},{0,39,3051},{0,25,1256},{0,21,258},{0,16,1764},{0,19,3685},{0,15,2195},{4,46,883},{3,33,10},{5,23,74},{3,21,154},{15,10,3048},
{0,25,1256},{0,21,258},{0,16,1764},{30,5,3048},{0,16,1764},{2,34,113},{2,34,113},{2,34,113},{2,18,113},{0,25,648},{0,17,89},{0,17,89},{0,10,242},{0,11,876},{0,10,411},{4,30,1},{4,30,1},{4,30,1},{4,17,1},{12,1,648},{0,17,89},{0,17,89},{0,10,242},{25,0,648},{0,10,242},{27,0,882},{3,33,1},{8,23,1},{0,22,80},{27,0,882},{46,4,882},{0,22,80},
{0,18,884},{46,4,882},{0,18,884},{2,0,113},{2,0,113},{2,0,113},{2,0,113},{0,11,1},{0,11,1},{0,11,1},{0,6,1},{0,5,40},{0,5,40},{3,53,1149},{3,36,274},{4,27,513},{3,24,362},{0,45,3051},{0,28,1128},{0,24,122},{0,18,1605},{0,22,3901},{0,16,2173},{6,47,885},{5,35,10},{7,25,74},{5,23,154},{15,16,3048},{0,28,1128},{0,24,122},{0,18,1605},{30,8,3048},
{0,18,1605},{3,38,265},{3,38,265},{3,38,265},{3,20,266},{0,31,648},{0,21,34},{0,21,34},{0,13,170},{0,14,1004},{0,11,457},{6,32,1},{6,32,1},{6,32,1},{6,19,1},{15,1,648},{0,21,34},{0,21,34},{0,13,170},{31,0,648},{0,13,170},{30,0,882},{5,35,1},{10,25,1},{0,24,41},{30,0,882},{46,7,882},{0,24,41},{0,20,884},{46,7,882},{0,20,884},{3,0,265},
{3,0,265},{3,0,265},{3,0,265},{0,17,0},{0,17,0},{0,17,0},{0,9,1},{0,8,104},{0,8,104},{4,57,1365},{4,39,498},{5,28,793},{4,26,561},{0,51,3048},{0,31,1032},{0,26,41},{0,20,1509},{0,24,4147},{0,19,2149},{8,49,885},{7,37,10},{9,27,74},{7,25,154},{17,17,3048},{0,31,1032},{0,26,41},{0,20,1509},{51,0,3048},{0,20,1509},{4,42,481},{4,42,481},{4,42,481},
{4,23,481},{0,36,650},{0,25,4},{0,25,4},{0,15,130},{0,16,1161},{0,14,481},{8,34,1},{8,34,1},{8,34,1},{8,21,1},{15,7,648},{0,25,4},{0,25,4},{0,15,130},{31,3,648},{0,15,130},{32,1,882},{7,37,1},{12,27,1},{0,26,25},{32,1,882},{46,10,882},{0,26,25},{0,22,884},{46,10,882},{0,22,884},{4,0,481},{4,0,481},{4,0,481},{4,0,481},{0,23,0},
{0,23,0},{0,23,0},{0,12,1},{0,9,193},{0,9,193},{5,61,1645},{5,42,795},{7,30,1177},{4,28,826},{0,57,3048},{0,35,954},{0,29,9},{0,22,1380},{0,27,4419},{0,21,2197},{10,51,885},{9,39,10},{11,29,74},{9,27,154},{20,17,3048},{0,35,954},{0,29,9},{0,22,1380},{57,0,3048},{0,22,1380},{5,46,761},{5,46,761},{5,46,761},{5,25,762},{0,42,650},{0,28,4},{0,28,4},
{0,17,85},{0,19,1345},{0,16,557},{10,36,1},{10,36,1},{10,36,1},{10,23,1},{15,13,648},{1,27,1},{1,27,1},{0,17,85},{31,6,648},{0,17,85},{35,1,882},{9,39,1},{14,29,1},{0,29,9},{35,1,882},{46,13,882},{0,29,9},{0,24,884},{46,13,882},{0,24,884},{5,0,761},{5,0,761},{5,0,761},{5,0,761},{0,29,0},{0,29,0},{0,29,0},{0,15,1},{0,11,296},
{0,11,296},{7,63,1774},{7,44,924},{8,33,1320},{6,30,941},{2,60,3052},{1,38,924},{2,31,10},{0,24,1302},{0,31,4300},{0,24,1942},{12,54,882},{12,40,8},{13,32,68},{11,29,161},{32,0,3048},{0,39,898},{2,31,6},{0,24,1266},{62,1,3048},{0,24,1266},{7,48,885},{7,48,885},{7,48,885},{7,28,884},{2,45,652},{2,31,9},{2,31,9},{1,20,62},{0,22,1275},{0,19,419},{12,39,0},
{12,39,0},{12,39,0},{12,25,1},{24,1,648},{3,30,0},{3,30,0},{0,20,45},{49,0,648},{0,20,45},{39,0,882},{11,41,1},{16,31,2},{1,31,1},{39,0,882},{62,8,882},{1,31,1},{0,26,882},{62,8,882},{0,26,882},{7,0,884},{7,0,884},{7,0,884},{7,0,884},{2,32,4},{2,32,4},{2,32,4},{2,17,4},{0,16,250},{0,16,250},{9,63,1798},{9,46,924},{10,35,1320},
{9,32,936},{4,62,3052},{3,40,924},{4,33,9},{2,26,1302},{0,33,4023},{0,26,1647},{14,56,882},{14,42,8},{15,34,68},{13,31,161},{35,0,3048},{0,42,882},{4,33,5},{0,27,1170},{62,4,3048},{0,27,1170},{9,50,885},{9,50,885},{9,50,885},{9,30,884},{4,47,652},{4,32,8},{4,32,8},{3,22,62},{0,25,1107},{0,22,243},{14,41,0},{14,41,0},{14,41,0},{14,27,1},{27,1,648},
{5,32,1},{5,32,1},{0,22,18},{55,0,648},{0,22,18},{42,0,882},{13,43,1},{18,33,1},{2,33,0},{42,0,882},{62,11,882},{2,33,0},{0,28,882},{62,11,882},{0,28,882},{9,0,884},{9,0,884},{9,0,884},{9,0,884},{4,34,4},{4,34,4},{4,34,4},{4,19,4},{0,19,146},{0,19,146},{12,63,1846},{11,48,924},{12,37,1320},{11,34,936},{6,63,3055},{5,42,924},{6,35,9},
{4,28,1302},{0,36,3799},{0,28,1356},{16,58,883},{16,44,9},{17,35,74},{15,33,161},{38,0,3048},{2,44,882},{6,35,5},{0,29,1110},{62,7,3048},{0,29,1110},{11,52,885},{11,52,885},{11,52,885},{11,32,885},{6,49,652},{6,34,8},{6,34,8},{5,24,62},{0,29,969},{0,24,109},{16,42,1},{16,42,1},{16,42,1},{16,29,2},{30,1,648},{7,34,1},{7,34,1},{0,24,9},{61,0,648},
{0,24,9},{45,0,882},{15,45,1},{20,35,1},{4,35,0},{45,0,882},{62,14,882},{4,35,0},{0,30,882},{62,14,882},{0,30,882},{11,0,884},{11,0,884},{11,0,884},{11,0,884},{6,36,4},{6,36,4},{6,36,4},{6,21,4},{0,22,74},{0,22,74},{14,63,1912},{13,50,924},{14,39,1320},{13,36,936},{9,63,3087},{7,44,924},{8,37,9},{6,30,1302},{0,39,3607},{0,31,1156},{18,60,883},
{18,46,9},{19,37,74},{17,35,154},{41,0,3048},{4,46,882},{8,37,5},{0,31,1035},{62,10,3048},{0,31,1035},{13,54,885},{13,54,885},{13,54,885},{13,34,885},{8,51,652},{8,36,8},{8,36,8},{7,26,62},{0,33,846},{0,27,37},{18,44,1},{18,44,1},{18,44,1},{18,31,2},{33,1,648},{9,36,1},{9,36,1},{0,27,1},{63,2,648},{0,27,1},{47,2,882},{16,48,1},{22,37,1},
{6,37,0},{47,2,882},{62,17,882},{6,37,0},{0,32,884},{62,17,882},{0,32,884},{13,0,884},{13,0,884},{13,0,884},{13,0,884},{8,38,4},{8,38,4},{8,38,4},{8,23,4},{0,26,29},{0,26,29},{16,63,2014},{15,52,932},{16,40,1341},{15,38,932},{12,63,3141},{9,46,924},{10,39,7},{9,32,1308},{0,43,3436},{0,33,1003},{20,62,884},{20,48,8},{21,40,74},{19,37,161},{36,16,3048},
{6,48,882},{10,39,6},{0,33,978},{63,13,3048},{0,33,978},{15,57,882},{15,57,882},{15,57,882},{15,36,882},{10,54,649},{10,39,6},{10,39,6},{9,28,61},{0,36,737},{1,29,8},{20,47,0},{20,47,0},{20,47,0},{20,33,1},{31,12,648},{11,38,1},{11,38,1},{2,29,1},{62,6,648},{2,29,1},{51,0,882},{19,49,1},{24,39,1},{9,39,1},{51,0,882},{47,28,882},{9,39,1},
{0,34,882},{47,28,882},{0,34,882},{15,0,882},{15,0,882},{15,0,882},{15,0,882},{10,40,2},{10,40,2},{10,40,2},{10,25,2},{0,30,2},{0,30,2},{19,63,2126},{17,54,924},{18,42,1341},{16,40,941},{14,63,3204},{11,48,924},{12,41,7},{11,34,1308},{0,46,3300},{0,35,939},{22,63,890},{22,50,8},{23,42,74},{21,39,161},{39,16,3048},{8,50,882},{12,41,6},{0,35,939},{62,16,3048},
{0,35,939},{17,59,884},{17,59,884},{17,59,884},{17,38,884},{12,56,649},{12,41,6},{12,41,6},{11,30,61},{0,39,681},{3,31,8},{22,49,0},{22,49,0},{22,49,0},{22,35,1},{31,18,648},{13,40,1},{13,40,1},{4,31,1},{62,9,648},{4,31,1},{54,0,882},{21,51,1},{26,41,1},{11,41,1},{54,0,882},{47,31,882},{11,41,1},{0,36,882},{47,31,882},{0,36,882},{17,0,884},
{17,0,884},{17,0,884},{17,0,884},{12,42,2},{12,42,2},{12,42,2},{12,27,2},{2,32,1},{2,32,1},{20,63,2264},{19,56,924},{20,44,1341},{18,42,941},{17,63,3292},{13,50,924},{14,43,7},{13,36,1308},{0,50,3192},{0,38,923},{25,63,906},{24,52,8},{25,44,74},{23,41,161},{50,0,3048},{10,52,882},{14,43,6},{0,38,907},{62,19,3048},{0,38,907},{19,61,884},{19,61,884},{19,61,884},
{19,40,884},{14,58,649},{14,43,6},{14,43,6},{13,32,67},{0,42,657},{4,33,10},{24,51,0},{24,51,0},{24,51,0},{24,37,1},{34,17,648},{15,42,1},{15,42,1},{6,33,1},{62,12,648},{6,33,1},{57,0,882},{23,53,1},{28,43,1},{13,43,1},{57,0,882},{50,32,882},{13,43,1},{0,38,882},{50,32,882},{0,38,882},{19,0,884},{19,0,884},{19,0,884},{19,0,884},{14,44,2},
{14,44,2},{14,44,2},{14,29,2},{4,34,1},{4,34,1},{23,63,2376},{21,58,924},{22,46,1341},{20,44,941},{19,63,3391},{15,52,924},{16,45,10},{15,38,1308},{0,53,3112},{2,40,923},{27,63,948},{26,54,8},{27,46,74},{25,43,161},{53,0,3048},{12,54,882},{16,45,6},{0,40,891},{62,22,3048},{0,40,891},{21,63,884},{21,63,884},{21,63,884},{21,42,884},{16,59,652},{16,45,9},{16,45,9},
{15,34,67},{1,45,650},{6,35,10},{26,53,0},{26,53,0},{26,53,0},{26,39,1},{37,17,648},{17,44,0},{17,44,0},{8,35,1},{62,15,648},{8,35,1},{60,0,882},{25,55,1},{30,45,1},{15,45,1},{60,0,882},{56,32,882},{15,45,1},{0,40,882},{56,32,882},{0,40,882},{21,0,884},{21,0,884},{21,0,884},{21,0,884},{16,46,4},{16,46,4},{16,46,4},{16,31,4},{6,36,1},
{6,36,1},{26,63,2564},{23,61,927},{24,49,1324},{23,47,935},{22,63,3529},{17,54,924},{18,47,10},{17,41,1302},{0,56,3060},{5,42,924},{30,63,1003},{28,57,6},{29,48,67},{28,46,158},{56,1,3048},{15,56,883},{19,47,8},{1,42,884},{63,25,3048},{1,42,884},{23,63,891},{23,63,891},{23,63,891},{23,44,883},{18,62,649},{18,47,6},{18,47,6},{17,36,61},{4,47,652},{9,37,8},{28,55,2},
{28,55,2},{28,55,2},{28,42,2},{49,0,648},{19,46,2},{19,46,2},{11,37,0},{62,18,648},{11,37,0},{63,1,882},{27,58,2},{32,47,4},{17,47,5},{63,1,882},{63,32,882},{17,47,5},{0,42,884},{63,32,882},{0,42,884},{23,0,882},{23,0,882},{23,0,882},{23,0,882},{18,48,2},{18,48,2},{18,48,2},{18,33,2},{8,38,1},{8,38,1},{28,63,2774},{25,63,927},{26,51,1324},
{25,48,932},{25,63,3681},{19,56,924},{20,49,7},{19,43,1302},{0,59,3052},{7,44,924},{32,63,1074},{30,59,6},{31,50,67},{30,48,170},{59,1,3048},{16,58,885},{20,49,6},{3,44,884},{63,28,3048},{3,44,884},{25,63,918},{25,63,918},{25,63,918},{25,46,883},{20,63,651},{20,49,6},{20,49,6},{19,38,61},{5,49,651},{11,39,8},{30,57,2},{30,57,2},{30,57,2},{30,44,2},{52,0,648},
{21,48,1},{21,48,1},{13,39,0},{62,21,648},{13,39,0},{63,7,882},{29,60,2},{34,49,1},{19,49,1},{63,7,882},{63,35,882},{19,49,1},{0,44,884},{63,35,882},{0,44,884},{25,0,882},{25,0,882},{25,0,882},{25,0,882},{20,50,2},{20,50,2},{20,50,2},{20,35,2},{10,40,1},{10,40,1},{31,63,2998},{28,63,951},{28,53,1324},{27,50,932},{26,63,3844},{21,58,924},{22,51,7},
{21,45,1302},{2,61,3052},{9,46,924},{34,63,1146},{32,61,9},{33,52,74},{32,50,169},{62,1,3048},{18,60,885},{22,51,6},{5,46,884},{63,31,3048},{5,46,884},{28,63,950},{28,63,950},{28,63,950},{27,48,882},{23,63,675},{22,51,6},{22,51,6},{21,40,61},{7,51,651},{13,41,8},{32,59,0},{32,59,0},{32,59,0},{32,46,1},{55,0,648},{23,50,1},{23,50,1},{15,41,0},{62,24,648},
{15,41,0},{63,13,882},{31,62,2},{36,51,1},{21,51,1},{63,13,882},{63,38,882},{21,51,1},{0,46,884},{63,38,882},{0,46,884},{27,0,882},{27,0,882},{27,0,882},{27,0,882},{22,52,2},{22,52,2},{22,52,2},{22,37,2},{12,42,1},{12,42,1},{33,63,3224},{30,63,1031},{30,55,1324},{29,52,932},{29,63,3996},{23,60,924},{24,53,7},{23,47,1302},{4,63,3052},{11,48,922},{37,63,1226},
{34,63,9},{35,54,74},{33,51,161},{63,5,3048},{20,62,885},{24,53,6},{6,48,882},{47,42,3048},{6,48,882},{30,63,995},{30,63,995},{30,63,995},{29,50,882},{25,63,705},{24,53,6},{24,53,6},{23,42,61},{9,53,651},{15,43,8},{34,61,0},{34,61,0},{34,61,0},{34,47,4},{58,0,648},{25,52,1},{25,52,1},{16,43,1},{62,27,648},{16,43,1},{63,19,882},{33,63,4},{38,53,1},
{23,53,1},{63,19,882},{63,41,882},{23,53,1},{0,48,882},{63,41,882},{0,48,882},{29,0,882},{29,0,882},{29,0,882},{29,0,882},{24,54,2},{24,54,2},{24,54,2},{24,39,2},{14,44,1},{14,44,1},{34,63,3510},{32,63,1202},{33,57,1335},{31,54,936},{33,63,4252},{25,63,925},{26,55,13},{25,49,1309},{9,63,3091},{13,50,918},{40,63,1349},{37,63,38},{37,56,77},{36,54,158},{60,17,3048},
{24,63,894},{27,55,8},{9,50,884},{63,37,3048},{9,50,884},{32,63,1058},{32,63,1058},{32,63,1058},{31,52,885},{28,63,762},{26,55,9},{26,55,9},{26,44,61},{11,56,650},{17,45,11},{36,63,2},{36,63,2},{36,63,2},{36,50,2},{53,16,648},{28,54,1},{28,54,1},{19,45,1},{63,30,648},{19,45,1},{59,33,882},{37,63,29},{40,56,4},{26,55,4},{59,33,882},{55,48,882},{26,55,4},
{0,50,884},{55,48,882},{0,50,884},{31,0,884},{31,0,884},{31,0,884},{31,0,884},{26,57,0},{26,57,0},{26,57,0},{26,42,1},{16,47,2},{16,47,2},{37,63,3734},{34,63,1399},{35,59,1335},{33,57,935},{34,63,4441},{28,63,957},{28,57,13},{27,51,1309},{13,63,3192},{15,52,918},{43,63,1485},{39,63,131},{39,58,77},{38,56,158},{63,17,3048},{28,63,957},{29,57,8},{11,52,884},{63,40,3048},
{11,52,884},{34,63,1110},{34,63,1110},{34,63,1110},{33,54,883},{30,63,840},{28,57,9},{28,57,9},{28,46,61},{13,58,650},{19,47,11},{39,63,10},{39,63,10},{39,63,10},{38,52,2},{56,16,648},{30,56,1},{30,56,1},{21,47,1},{62,33,648},{21,47,1},{62,33,882},{41,63,80},{42,58,4},{28,57,4},{62,33,882},{61,48,882},{28,57,4},{0,52,884},{61,48,882},{0,52,884},{33,0,882},
{33,0,882},{33,0,882},{33,0,882},{28,59,0},{28,59,0},{28,59,0},{28,44,1},{18,48,1},{18,48,1},{40,63,4022},{37,63,1647},{37,61,1335},{35,59,935},{37,63,4657},{31,63,1085},{30,59,13},{29,53,1309},{18,63,3339},{17,54,924},{45,63,1635},{42,63,275},{41,60,77},{40,58,158},{63,23,3048},{32,63,1044},{31,59,8},{13,54,884},{63,43,3048},{13,54,884},{36,63,1203},{36,63,1203},{36,63,1203},
{35,56,883},{33,63,915},{30,59,9},{30,59,9},{30,48,65},{15,60,650},{21,49,8},{41,63,25},{41,63,25},{41,63,25},{40,54,2},{59,16,648},{32,57,4},{32,57,4},{23,49,0},{62,36,648},{23,49,0},{63,37,882},{44,63,160},{44,60,4},{30,59,4},{63,37,882},{63,50,882},{30,59,4},{0,54,884},{63,50,882},{0,54,884},{35,0,882},{35,0,882},{35,0,882},{35,0,882},{30,61,0},
{30,61,0},{30,61,0},{30,46,1},{20,50,1},{20,50,1},{42,63,4364},{40,63,1991},{39,63,1335},{37,61,935},{40,63,4905},{34,63,1287},{32,61,10},{31,55,1309},{21,63,3555},{19,56,924},{48,63,1796},{44,63,465},{43,62,77},{42,60,158},{63,29,3048},{35,63,1188},{33,61,8},{15,56,884},{63,46,3048},{15,56,884},{39,63,1299},{39,63,1299},{39,63,1299},{37,58,883},{34,63,1017},{32,61,6},{32,61,6},
{32,50,66},{17,62,650},{23,51,8},{43,63,45},{43,63,45},{43,63,45},{42,56,2},{62,16,648},{33,60,2},{33,60,2},{25,51,0},{62,39,648},{25,51,0},{63,43,882},{48,63,260},{46,62,4},{30,62,4},{63,43,882},{63,53,882},{30,62,4},{0,56,884},{63,53,882},{0,56,884},{37,0,882},{37,0,882},{37,0,882},{37,0,882},{32,63,1},{32,63,1},{32,63,1},{32,47,2},{22,52,1},
{22,52,1},{45,63,4441},{43,63,2286},{41,63,1421},{39,62,916},{43,63,4878},{37,63,1410},{34,63,9},{33,57,1141},{26,63,3535},{21,58,795},{50,63,1770},{47,63,609},{46,63,85},{44,62,120},{63,35,2814},{40,63,1194},{35,63,2},{17,58,762},{63,49,2814},{17,58,762},{41,63,1421},{41,63,1421},{41,63,1421},{39,61,885},{37,63,1130},{34,63,9},{34,63,9},{34,52,61},{20,63,651},{25,53,11},{46,63,85},
{46,63,85},{46,63,85},{44,58,4},{63,21,648},{36,62,1},{36,62,1},{27,53,2},{63,42,648},{27,53,2},{63,48,761},{51,63,305},{48,63,1},{34,63,0},{63,48,761},{62,56,761},{34,63,0},{0,58,761},{62,56,761},{0,58,761},{39,0,884},{39,0,884},{39,0,884},{39,0,884},{34,63,9},{34,63,9},{34,63,9},{34,50,1},{24,55,2},{24,55,2},{46,63,3945},{43,63,2238},{43,63,1509},
{41,63,885},{45,63,4345},{38,63,1230},{37,63,41},{34,58,781},{30,63,3066},{24,59,494},{51,63,1386},{48,63,530},{48,63,130},{46,62,45},{63,39,2249},{43,63,914},{39,63,8},{21,59,482},{47,59,2249},{21,59,482},{43,63,1509},{43,63,1509},{43,63,1509},{41,63,885},{40,63,1242},{37,63,41},{37,63,41},{36,54,61},{24,63,689},{27,55,11},{48,63,130},{48,63,130},{48,63,130},{46,60,4},{63,27,648},
{39,63,8},{39,63,8},{29,55,2},{63,45,648},{29,55,2},{63,51,481},{54,63,193},{51,63,1},{40,63,0},{63,51,481},{63,57,481},{40,63,0},{0,59,481},{63,57,481},{0,59,481},{41,0,884},{41,0,884},{41,0,884},{41,0,884},{37,63,25},{37,63,25},{37,63,25},{36,52,1},{26,57,2},{26,57,2},{48,63,3571},{46,63,2182},{46,63,1653},{43,63,900},{46,63,3838},{41,63,1094},{40,63,137},
{37,59,490},{32,63,2703},{27,60,270},{53,63,1106},{51,63,458},{50,63,193},{48,63,10},{63,43,1769},{46,63,698},{42,63,40},{25,60,266},{63,53,1769},{25,60,266},{46,63,1653},{46,63,1653},{46,63,1653},{43,63,900},{43,63,1386},{40,63,137},{40,63,137},{38,56,61},{29,63,779},{29,57,11},{50,63,193},{50,63,193},{50,63,193},{48,62,1},{63,33,648},{42,63,40},{42,63,40},{31,57,2},{47,56,648},
{31,57,2},{63,54,265},{57,63,113},{54,63,1},{46,63,0},{63,54,265},{62,59,265},{46,63,0},{0,60,265},{62,59,265},{0,60,265},{43,0,884},{43,0,884},{43,0,884},{43,0,884},{39,63,52},{39,63,52},{39,63,52},{38,54,1},{28,59,2},{28,59,2},{50,63,3307},{48,63,2195},{48,63,1795},{46,63,964},{48,63,3435},{43,63,1026},{42,63,296},{39,60,269},{37,63,2410},{30,61,115},{54,63,882},
{54,63,450},{53,63,265},{50,63,10},{63,47,1374},{48,63,546},{46,63,89},{29,61,114},{63,55,1374},{29,61,114},{48,63,1795},{48,63,1795},{48,63,1795},{46,63,964},{45,63,1560},{42,63,296},{42,63,296},{40,58,61},{32,63,891},{31,59,11},{53,63,265},{53,63,265},{53,63,265},{50,63,10},{63,39,648},{46,63,89},{46,63,89},{33,59,1},{47,59,648},{33,59,1},{63,57,113},{58,63,50},{57,63,1},
{52,63,0},{63,57,113},{63,60,113},{52,63,0},{0,61,113},{63,60,113},{0,61,113},{45,0,884},{45,0,884},{45,0,884},{45,0,884},{41,63,97},{41,63,97},{41,63,97},{40,56,1},{30,61,2},{30,61,2},{51,63,3032},{51,63,2264},{50,63,1965},{48,63,1096},{51,63,3096},{46,63,1059},{46,63,530},{41,62,126},{40,63,2191},{33,62,25},{57,63,680},{56,63,465},{55,63,356},{53,63,68},{63,51,1032},
{52,63,450},{49,63,185},{34,62,20},{63,57,1032},{34,62,20},{50,63,1965},{50,63,1965},{50,63,1965},{48,63,1096},{48,63,1736},{46,63,530},{46,63,530},{42,60,62},{37,63,1086},{33,62,9},{55,63,356},{55,63,356},{55,63,356},{53,63,68},{61,49,648},{49,63,185},{49,63,185},{36,61,4},{63,54,648},{36,61,4},{63,61,18},{61,63,9},{61,63,0},{59,63,0},{63,61,18},{63,62,18},{59,63,0},
{0,62,20},{63,62,18},{0,62,20},{47,0,890},{47,0,890},{47,0,890},{47,0,890},{44,63,149},{44,63,149},{44,63,149},{42,58,1},{32,63,0},{32,63,0},{54,63,2756},{52,63,2249},{51,63,2004},{50,63,1224},{53,63,2803},{48,63,1092},{48,63,692},{44,62,58},{43,63,1991},{35,63,16},{59,63,566},{57,63,420},{57,63,356},{55,63,125},{63,55,771},{55,63,386},{52,63,241},{38,63,0},{63,59,771},
{38,63,0},{51,63,2004},{51,63,2004},{51,63,2004},{50,63,1224},{50,63,1802},{48,63,692},{48,63,692},{44,62,42},{40,63,1166},{35,63,16},{57,63,356},{57,63,356},{57,63,356},{55,63,125},{63,50,580},{52,63,241},{52,63,241},{38,63,0},{62,57,580},{38,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{49,0,884},
{49,0,884},{49,0,884},{49,0,884},{46,63,193},{46,63,193},{46,63,193},{44,60,1},{35,63,16},{35,63,16},{54,63,2276},{54,63,1844},{54,63,1700},{52,63,1125},{54,63,2180},{51,63,948},{49,63,649},{46,63,10},{46,63,1551},{39,63,58},{60,63,324},{59,63,257},{59,63,221},{57,63,68},{63,57,452},{57,63,228},{55,63,137},{44,63,0},{63,60,452},{44,63,0},{54,63,1700},{54,63,1700},{54,63,1700},
{52,63,1125},{51,63,1460},{49,63,649},{49,63,649},{46,63,10},{43,63,926},{39,63,58},{59,63,221},{59,63,221},{59,63,221},{57,63,68},{63,53,340},{55,63,137},{55,63,137},{44,63,0},{63,58,340},{44,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{51,0,884},{51,0,884},{51,0,884},{51,0,884},{48,63,260},
{48,63,260},{48,63,260},{46,62,1},{39,63,58},{39,63,58},{57,63,1844},{55,63,1585},{55,63,1464},{54,63,1044},{56,63,1747},{52,63,850},{51,63,596},{48,63,4},{48,63,1204},{43,63,117},{60,63,164},{60,63,116},{60,63,100},{59,63,40},{63,59,216},{58,63,114},{58,63,65},{50,63,0},{63,61,216},{50,63,0},{55,63,1464},{55,63,1464},{55,63,1464},{54,63,1044},{54,63,1188},{51,63,596},{51,63,596},
{48,63,4},{46,63,750},{43,63,117},{60,63,100},{60,63,100},{60,63,100},{59,63,40},{63,56,164},{58,63,65},{58,63,65},{50,63,0},{62,60,164},{50,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{53,0,884},{53,0,884},{53,0,884},{53,0,884},{51,63,340},{51,63,340},{51,63,340},{48,63,4},{43,63,117},
{43,63,117},{0,39,1568},{0,28,194},{0,19,10},{0,16,586},{0,26,3371},{0,17,2169},{0,16,1027},{0,10,2532},{0,12,3648},{0,10,2701},{0,39,1568},{0,28,194},{0,19,10},{0,16,586},{5,16,3371},{0,17,2169},{0,16,1027},{0,10,2532},{26,0,3371},{0,10,2532},{0,18,0},{0,18,0},{0,18,0},{0,9,0},{0,9,288},{0,8,109},{0,8,109},{0,4,164},{0,4,321},{0,4,189},{0,18,0},
{0,18,0},{0,18,0},{0,9,0},{4,1,288},{0,8,109},{0,8,109},{0,4,164},{9,0,288},{0,4,164},{19,1,1568},{0,28,194},{0,19,10},{0,16,586},{19,1,1568},{39,0,1568},{0,16,586},{0,13,1568},{39,0,1568},{0,13,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,45,1568},{0,31,106},{0,22,10},
{0,18,481},{0,30,3968},{0,19,2355},{0,18,1057},{0,13,2852},{0,14,4319},{0,11,3117},{0,45,1568},{0,31,106},{0,22,10},{0,18,481},{15,0,3968},{0,19,2355},{0,18,1057},{0,13,2852},{30,0,3968},{0,13,2852},{0,24,0},{0,24,0},{0,24,0},{0,12,0},{0,12,512},{0,10,205},{0,10,205},{0,5,313},{0,5,566},{0,5,349},{0,24,0},{0,24,0},{0,24,0},{0,12,0},{6,0,512},
{0,10,205},{0,10,205},{0,5,313},{12,0,512},{0,5,313},{22,1,1568},{0,31,106},{1,22,1},{0,18,481},{22,1,1568},{45,0,1568},{0,18,481},{0,15,1568},{45,0,1568},{0,15,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,50,1570},{0,34,52},{1,24,58},{0,21,377},{0,34,4652},{0,22,2571},{0,19,1107},
{0,14,3225},{0,16,5108},{0,13,3525},{0,50,1570},{0,34,52},{1,24,42},{0,21,377},{15,4,4651},{0,22,2571},{0,19,1107},{0,14,3225},{30,2,4651},{0,14,3225},{0,30,0},{0,30,0},{0,30,0},{0,15,0},{0,15,800},{0,11,317},{0,11,317},{0,7,468},{0,7,889},{0,7,549},{0,30,0},{0,30,0},{0,30,0},{0,15,0},{7,1,800},{0,11,317},{0,11,317},{0,7,468},{15,0,800},
{0,7,468},{25,1,1568},{0,34,52},{3,24,1},{0,21,377},{25,1,1568},{47,2,1568},{0,21,377},{0,17,1570},{47,2,1568},{0,17,1570},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,56,1570},{0,38,13},{1,27,138},{0,24,305},{0,38,5419},{0,25,2819},{0,22,1187},{0,16,3659},{0,17,6013},{0,14,4061},{0,56,1570},
{0,38,13},{1,27,122},{0,24,305},{19,0,5419},{0,25,2819},{0,22,1187},{0,16,3659},{38,0,5419},{0,16,3659},{0,36,0},{0,36,0},{0,36,0},{0,18,0},{0,18,1152},{0,14,445},{0,14,445},{0,8,697},{0,8,1270},{0,8,797},{0,36,0},{0,36,0},{0,36,0},{0,18,0},{9,0,1152},{0,14,445},{0,14,445},{0,8,697},{18,0,1152},{0,8,697},{28,1,1568},{0,38,13},{5,26,1},
{0,24,305},{28,1,1568},{47,5,1568},{0,24,305},{0,19,1570},{47,5,1568},{0,19,1570},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,61,1609},{1,41,43},{2,29,250},{1,26,301},{0,45,5419},{0,28,2552},{0,25,820},{0,18,3377},{0,21,6243},{0,18,3953},{2,59,1569},{2,41,10},{3,29,125},{1,26,285},{22,1,5419},
{0,28,2552},{0,25,820},{0,18,3377},{45,0,5419},{0,18,3377},{1,40,42},{1,40,42},{1,40,42},{1,21,42},{0,25,1152},{0,19,292},{0,19,292},{0,11,569},{0,11,1380},{0,10,747},{2,38,2},{2,38,2},{2,38,2},{2,20,2},{12,1,1152},{0,19,292},{0,19,292},{0,11,569},{25,0,1152},{0,11,569},{23,17,1568},{0,42,1},{7,28,1},{0,26,233},{23,17,1568},{63,0,1568},{0,26,233},
{0,21,1568},{63,0,1568},{0,21,1568},{1,0,41},{1,0,41},{1,0,41},{1,0,41},{0,7,0},{0,7,0},{0,7,0},{0,3,1},{0,3,17},{0,3,17},{2,63,1731},{2,44,146},{3,31,441},{1,28,370},{0,50,5420},{0,33,2329},{0,27,554},{0,21,3217},{0,23,6476},{0,19,3861},{4,61,1569},{4,43,10},{5,31,125},{3,28,285},{25,1,5419},{0,33,2329},{0,27,554},{0,21,3217},{47,2,5419},
{0,21,3217},{2,44,146},{2,44,146},{2,44,146},{2,23,146},{0,31,1152},{0,22,180},{0,22,180},{0,13,458},{0,14,1508},{0,13,747},{4,40,2},{4,40,2},{4,40,2},{4,22,2},{15,1,1152},{0,22,180},{0,22,180},{0,13,458},{31,0,1152},{0,13,458},{34,1,1568},{2,44,1},{9,30,1},{0,28,164},{34,1,1568},{63,3,1568},{0,28,164},{0,23,1568},{63,3,1568},{0,23,1568},{2,0,145},
{2,0,145},{2,0,145},{2,0,145},{0,13,0},{0,13,0},{0,13,0},{0,6,1},{0,5,52},{0,5,52},{4,63,1977},{3,47,318},{5,33,675},{3,30,498},{0,56,5420},{0,36,2129},{0,30,338},{0,22,3012},{0,25,6733},{0,21,3825},{6,63,1569},{6,45,10},{8,33,123},{5,30,285},{28,1,5419},{0,36,2129},{0,30,338},{0,22,3012},{47,5,5419},{0,22,3012},{3,48,313},{3,48,313},{3,48,313},
{3,26,314},{0,36,1154},{0,25,100},{0,25,100},{0,16,388},{0,16,1665},{0,14,757},{6,42,2},{6,42,2},{6,42,2},{6,24,2},{15,7,1152},{0,25,100},{0,25,100},{0,16,388},{31,3,1152},{0,16,388},{37,1,1568},{4,46,1},{11,32,2},{0,30,113},{37,1,1568},{63,6,1568},{0,30,113},{0,25,1568},{63,6,1568},{0,25,1568},{3,0,313},{3,0,313},{3,0,313},{3,0,313},{0,19,0},
{0,19,0},{0,19,0},{0,9,1},{0,8,116},{0,8,116},{6,63,2353},{4,49,562},{6,35,1006},{3,32,715},{0,62,5420},{0,39,1961},{0,32,174},{0,24,2817},{0,28,7013},{0,24,3841},{9,63,1577},{8,47,10},{10,35,123},{7,31,290},{31,1,5419},{0,39,1961},{0,32,174},{0,24,2817},{47,8,5419},{0,24,2817},{4,52,545},{4,52,545},{4,52,545},{4,28,546},{0,42,1154},{0,29,45},{0,29,45},
{0,18,289},{0,19,1849},{0,16,797},{8,44,2},{8,44,2},{8,44,2},{8,26,2},{15,13,1152},{0,29,45},{0,29,45},{0,18,289},{31,6,1152},{0,18,289},{40,1,1568},{6,48,1},{13,34,2},{0,33,73},{40,1,1568},{63,9,1568},{0,33,73},{0,27,1568},{63,9,1568},{0,27,1568},{4,0,545},{4,0,545},{4,0,545},{4,0,545},{0,25,0},{0,25,0},{0,25,0},{0,12,1},{0,11,212},
{0,11,212},{8,63,2980},{6,52,920},{7,38,1444},{5,34,1012},{2,63,5504},{0,42,1814},{0,35,57},{0,27,2630},{0,31,7380},{0,25,3860},{11,63,1604},{10,49,13},{12,37,116},{10,33,292},{34,1,5419},{0,42,1814},{0,35,57},{0,27,2630},{63,3,5419},{0,27,2630},{5,57,884},{5,57,884},{5,57,884},{5,31,884},{0,49,1152},{0,33,5},{0,33,5},{0,21,221},{0,22,2091},{0,19,875},{11,45,4},
{11,45,4},{11,45,4},{11,28,4},{24,1,1152},{0,33,5},{0,33,5},{0,21,221},{49,0,1152},{0,21,221},{44,0,1568},{8,50,1},{15,36,4},{0,35,32},{44,0,1568},{62,13,1568},{0,35,32},{0,29,1570},{62,13,1568},{0,29,1570},{5,0,884},{5,0,884},{5,0,884},{5,0,884},{0,31,1},{0,31,1},{0,31,1},{0,16,1},{0,14,349},{0,14,349},{9,63,3638},{7,55,1309},{8,39,1940},
{6,36,1365},{3,63,5739},{0,45,1718},{0,38,17},{0,29,2514},{0,34,7760},{0,28,3900},{14,63,1636},{12,51,13},{14,39,116},{12,35,292},{37,1,5419},{0,45,1718},{0,38,17},{0,29,2514},{63,6,5419},{0,29,2514},{6,61,1252},{6,61,1252},{6,61,1252},{6,33,1253},{0,55,1152},{0,37,4},{0,37,4},{0,22,162},{0,25,2339},{0,21,989},{13,47,4},{13,47,4},{13,47,4},{13,30,4},{27,1,1152},
{1,36,1},{1,36,1},{0,22,162},{55,0,1152},{0,22,162},{47,0,1568},{10,52,1},{17,38,1},{0,38,16},{47,0,1568},{46,24,1568},{0,38,16},{0,31,1570},{46,24,1568},{0,31,1570},{6,0,1252},{6,0,1252},{6,0,1252},{6,0,1252},{0,37,0},{0,37,0},{0,37,0},{0,19,1},{0,16,490},{0,16,490},{11,63,4328},{8,57,1644},{10,41,2360},{7,39,1656},{6,63,6079},{0,49,1644},{1,40,17},
{0,31,2359},{0,36,7943},{0,30,3834},{16,63,1689},{14,53,13},{16,41,129},{14,37,292},{40,1,5419},{0,49,1640},{1,40,13},{0,31,2355},{63,9,5419},{0,31,2355},{8,63,1576},{8,63,1576},{8,63,1576},{7,36,1576},{1,59,1156},{1,39,13},{1,39,13},{0,25,110},{0,28,2475},{0,24,1017},{15,49,4},{15,49,4},{15,49,4},{15,32,4},{30,1,1152},{3,38,1},{3,38,1},{0,25,106},{61,0,1152},
{0,25,106},{49,1,1568},{12,54,1},{19,40,1},{0,40,4},{49,1,1568},{46,27,1568},{0,40,4},{0,33,1568},{46,27,1568},{0,33,1568},{7,0,1576},{7,0,1576},{7,0,1576},{7,0,1576},{1,41,4},{1,41,4},{1,41,4},{1,21,4},{0,19,578},{0,19,578},{14,63,4584},{10,59,1644},{12,43,2360},{9,41,1656},{8,63,6244},{2,51,1644},{3,42,17},{1,33,2308},{0,42,7575},{0,32,3345},{19,63,1761},
{16,55,10},{17,43,125},{16,40,290},{43,1,5419},{0,52,1592},{3,42,13},{0,33,2225},{63,12,5419},{0,33,2225},{10,63,1585},{10,63,1585},{10,63,1585},{9,38,1576},{3,61,1156},{3,41,13},{3,41,13},{2,27,110},{0,31,2211},{0,25,699},{16,52,2},{16,52,2},{16,52,2},{16,34,2},{33,1,1152},{5,40,1},{5,40,1},{0,27,61},{63,2,1152},{0,27,61},{52,1,1568},{14,56,1},{21,42,1},
{1,42,0},{52,1,1568},{46,30,1568},{1,42,0},{0,35,1568},{46,30,1568},{0,35,1568},{9,0,1576},{9,0,1576},{9,0,1576},{9,0,1576},{3,43,4},{3,43,4},{3,43,4},{3,23,4},{0,22,410},{0,22,410},{15,63,4826},{12,62,1650},{14,46,2355},{11,43,1660},{11,63,6452},{4,54,1641},{5,44,15},{3,35,2308},{0,45,7165},{0,35,2875},{22,63,1862},{18,57,9},{20,45,126},{18,42,281},{47,0,5419},
{0,56,1568},{6,44,10},{0,35,2091},{46,24,5419},{0,35,2091},{12,63,1606},{12,63,1606},{12,63,1606},{12,40,1571},{5,63,1155},{5,44,14},{5,44,14},{4,29,109},{0,33,1977},{0,28,424},{19,53,4},{19,53,4},{19,53,4},{19,36,4},{31,12,1152},{7,42,1},{7,42,1},{0,30,29},{62,6,1152},{0,30,29},{56,0,1568},{17,58,1},{24,44,2},{3,44,2},{56,0,1568},{62,25,1568},{3,44,2},
{0,37,1570},{62,25,1568},{0,37,1570},{12,0,1570},{12,0,1570},{12,0,1570},{12,0,1570},{5,46,1},{5,46,1},{5,46,1},{5,25,2},{0,25,260},{0,25,260},{17,63,5096},{14,63,1652},{15,48,2358},{13,45,1660},{14,63,6668},{6,56,1641},{7,46,15},{5,37,2308},{0,47,6891},{0,36,2543},{23,63,1956},{20,59,9},{22,47,126},{20,44,281},{49,1,5419},{2,58,1568},{8,46,10},{0,38,1979},{46,27,5419},
{0,38,1979},{14,63,1651},{14,63,1651},{14,63,1651},{14,42,1571},{8,63,1179},{7,46,14},{7,46,14},{6,31,109},{0,38,1778},{0,31,232},{21,55,4},{21,55,4},{21,55,4},{21,38,4},{31,18,1152},{9,44,1},{9,44,1},{0,32,10},{62,9,1152},{0,32,10},{59,0,1568},{19,60,1},{26,46,2},{5,46,2},{59,0,1568},{62,28,1568},{5,46,2},{0,39,1570},{62,28,1568},{0,39,1570},{14,0,1570},
{14,0,1570},{14,0,1570},{14,0,1570},{7,48,1},{7,48,1},{7,48,1},{7,27,2},{0,28,164},{0,28,164},{20,63,5352},{17,63,1708},{18,49,2360},{15,47,1660},{15,63,6877},{8,58,1641},{9,48,14},{7,39,2308},{0,50,6576},{0,39,2215},{26,63,2052},{22,61,9},{24,49,116},{22,46,281},{52,1,5419},{4,60,1568},{9,48,13},{0,40,1907},{46,30,5419},{0,40,1907},{16,63,1697},{16,63,1697},{16,63,1697},
{16,44,1577},{10,63,1209},{9,48,14},{9,48,14},{8,33,115},{0,42,1601},{0,33,110},{23,57,4},{23,57,4},{23,57,4},{23,40,4},{34,17,1152},{11,46,1},{11,46,1},{0,34,2},{62,12,1152},{0,34,2},{62,0,1568},{21,62,1},{28,48,1},{7,48,0},{62,0,1568},{62,31,1568},{7,48,0},{0,41,1570},{62,31,1568},{0,41,1570},{16,0,1576},{16,0,1576},{16,0,1576},{16,0,1576},{9,50,1},
{9,50,1},{9,50,1},{9,29,2},{0,33,85},{0,33,85},{23,63,5672},{19,63,1825},{20,51,2360},{17,49,1656},{19,63,7135},{10,60,1641},{11,50,14},{9,41,2308},{0,53,6336},{0,42,1983},{29,63,2180},{24,63,9},{26,51,116},{24,48,293},{55,1,5419},{6,62,1568},{11,50,13},{0,42,1814},{47,32,5419},{0,42,1814},{19,63,1761},{19,63,1761},{19,63,1761},{17,46,1576},{12,63,1249},{11,50,14},{11,50,14},
{10,35,115},{0,45,1449},{0,36,30},{25,59,4},{25,59,4},{25,59,4},{25,42,4},{37,17,1152},{13,48,0},{13,48,0},{1,36,2},{62,15,1152},{1,36,2},{63,4,1568},{23,63,4},{30,50,1},{9,50,0},{63,4,1568},{62,34,1568},{9,50,0},{0,43,1570},{62,34,1568},{0,43,1570},{17,0,1576},{17,0,1576},{17,0,1576},{17,0,1576},{11,52,1},{11,52,1},{11,52,1},{11,31,2},{0,36,29},
{0,36,29},{25,63,6066},{21,63,2039},{22,54,2355},{19,51,1660},{20,63,7420},{12,62,1635},{13,52,14},{11,43,2316},{0,57,6109},{0,44,1789},{31,63,2369},{27,63,38},{28,53,115},{26,50,286},{59,0,5419},{9,63,1577},{14,52,11},{0,44,1740},{62,28,5419},{0,44,1740},{21,63,1843},{21,63,1843},{21,63,1843},{20,48,1571},{15,63,1314},{13,52,13},{13,52,13},{12,37,116},{0,48,1329},{0,39,13},{27,62,1},
{27,62,1},{27,62,1},{27,44,2},{49,0,1152},{15,50,2},{15,50,2},{4,38,4},{62,18,1152},{4,38,4},{63,11,1568},{27,63,37},{32,52,2},{12,52,1},{63,11,1568},{47,45,1568},{12,52,1},{0,45,1576},{47,45,1568},{0,45,1576},{20,0,1570},{20,0,1570},{20,0,1570},{20,0,1570},{13,54,1},{13,54,1},{13,54,1},{13,34,1},{0,40,4},{0,40,4},{28,63,6434},{23,63,2268},{24,56,2355},
{21,53,1660},{23,63,7668},{14,63,1652},{15,54,14},{13,45,2316},{0,61,5924},{0,47,1685},{34,63,2502},{29,63,123},{30,55,115},{28,52,286},{62,0,5419},{13,63,1627},{16,54,10},{0,47,1676},{62,31,5419},{0,47,1676},{23,63,1907},{23,63,1907},{23,63,1907},{22,50,1571},{17,63,1395},{15,54,13},{15,54,13},{14,39,116},{0,51,1241},{2,41,13},{29,63,2},{29,63,2},{29,63,2},{29,46,2},{52,0,1152},
{17,52,1},{17,52,1},{6,40,4},{62,21,1152},{6,40,4},{55,32,1568},{31,63,97},{34,54,2},{14,54,1},{55,32,1568},{46,48,1568},{14,54,1},{0,47,1576},{46,48,1568},{0,47,1576},{22,0,1570},{22,0,1570},{22,0,1570},{22,0,1570},{15,56,1},{15,56,1},{15,56,1},{15,36,1},{1,43,1},{1,43,1},{29,63,6756},{26,63,2548},{26,58,2355},{23,55,1660},{26,63,7948},{17,63,1716},{17,56,15},
{15,47,2316},{0,63,5773},{0,49,1638},{37,63,2694},{32,63,262},{32,57,126},{30,54,286},{63,4,5419},{17,63,1715},{18,56,10},{0,49,1634},{62,34,5419},{0,49,1634},{25,63,2018},{25,63,2018},{25,63,2018},{24,52,1571},{20,63,1483},{17,56,14},{17,56,14},{16,41,109},{0,54,1185},{4,43,13},{31,63,17},{31,63,17},{31,63,17},{31,48,2},{55,0,1152},{19,54,1},{19,54,1},{8,42,4},{62,24,1152},
{8,42,4},{58,32,1568},{34,63,169},{36,56,2},{15,56,2},{58,32,1568},{52,48,1568},{15,56,2},{0,49,1570},{52,48,1568},{0,49,1570},{24,0,1570},{24,0,1570},{24,0,1570},{24,0,1570},{17,58,1},{17,58,1},{17,58,1},{17,37,2},{3,45,1},{3,45,1},{31,63,7218},{29,63,2924},{28,60,2355},{25,57,1660},{29,63,8260},{20,63,1884},{19,58,15},{17,49,2308},{3,63,5933},{2,51,1638},{39,63,2892},
{34,63,445},{34,59,126},{32,56,281},{63,10,5419},{21,63,1849},{20,58,10},{0,51,1606},{62,37,5419},{0,51,1606},{28,63,2130},{28,63,2130},{28,63,2130},{26,54,1571},{23,63,1603},{19,58,14},{19,58,14},{18,43,109},{0,58,1156},{6,45,13},{33,63,40},{33,63,40},{33,63,40},{33,50,4},{58,0,1152},{21,56,1},{21,56,1},{10,44,4},{62,27,1152},{10,44,4},{61,32,1568},{38,63,274},{38,58,2},
{17,58,2},{61,32,1568},{58,48,1568},{17,58,2},{0,51,1570},{58,48,1568},{0,51,1570},{26,0,1570},{26,0,1570},{26,0,1570},{26,0,1570},{19,60,1},{19,60,1},{19,60,1},{19,39,2},{5,47,1},{5,47,1},{34,63,7586},{31,63,3453},{30,62,2357},{28,59,1668},{31,63,8699},{23,63,2180},{21,60,21},{19,51,2316},{7,63,6224},{4,53,1634},{42,63,3131},{37,63,722},{36,62,125},{34,58,278},{55,32,5419},
{26,63,2052},{22,60,9},{0,53,1580},{46,48,5419},{0,53,1580},{30,63,2272},{30,63,2272},{30,63,2272},{28,56,1568},{25,63,1746},{21,60,17},{21,60,17},{21,45,113},{1,61,1154},{9,47,14},{36,63,74},{36,63,74},{36,63,74},{35,52,2},{53,16,1152},{23,59,1},{23,59,1},{11,47,1},{63,30,1152},{11,47,1},{63,35,1568},{43,63,433},{40,60,4},{20,60,4},{63,35,1568},{63,49,1568},{20,60,4},
{0,53,1576},{63,49,1568},{0,53,1576},{28,0,1568},{28,0,1568},{28,0,1568},{28,0,1568},{21,63,0},{21,63,0},{21,63,0},{21,42,0},{7,49,1},{7,49,1},{37,63,8018},{34,63,3915},{32,63,2410},{30,61,1668},{34,63,8985},{26,63,2548},{23,62,21},{21,53,2316},{12,63,6555},{6,55,1634},{43,63,3345},{40,63,1026},{38,63,129},{36,60,278},{58,32,5419},{30,63,2274},{24,62,9},{0,55,1577},{52,48,5419},
{0,55,1577},{32,63,2406},{32,63,2406},{32,63,2406},{30,58,1568},{28,63,1890},{23,62,17},{23,62,17},{23,47,113},{3,63,1154},{11,49,12},{38,63,125},{38,63,125},{38,63,125},{37,54,2},{56,16,1152},{25,61,1},{25,61,1},{14,48,5},{62,33,1152},{14,48,5},{63,41,1568},{46,63,585},{42,62,4},{22,62,4},{63,41,1568},{63,52,1568},{22,62,4},{0,55,1576},{63,52,1568},{0,55,1576},{30,0,1568},
{30,0,1568},{30,0,1568},{30,0,1568},{23,63,4},{23,63,4},{23,63,4},{23,44,0},{9,51,1},{9,51,1},{39,63,7700},{35,63,4026},{34,63,2514},{32,62,1611},{37,63,8485},{29,63,2424},{26,63,20},{23,55,1896},{15,63,6115},{9,56,1308},{46,63,2973},{43,63,1034},{40,63,169},{37,61,194},{63,27,4803},{32,63,2024},{27,63,1},{2,57,1253},{63,45,4803},{2,57,1253},{34,63,2514},{34,63,2514},{34,63,2514},
{32,60,1570},{29,63,2056},{26,63,20},{26,63,20},{24,49,116},{7,63,1164},{13,51,12},{40,63,169},{40,63,169},{40,63,169},{39,56,2},{59,16,1152},{27,63,1},{27,63,1},{16,50,4},{62,36,1152},{16,50,4},{63,45,1250},{48,63,500},{45,63,1},{26,63,0},{63,45,1250},{47,62,1250},{26,63,0},{0,57,1252},{47,62,1250},{0,57,1252},{32,0,1570},{32,0,1570},{32,0,1570},{32,0,1570},{26,63,20},
{26,63,20},{26,63,20},{25,46,0},{11,53,1},{11,53,1},{40,63,7062},{37,63,3915},{37,63,2690},{34,63,1579},{37,63,7765},{30,63,2178},{28,63,77},{26,56,1437},{18,63,5499},{11,57,918},{48,63,2504},{44,63,945},{43,63,225},{40,62,89},{63,31,4056},{35,63,1656},{30,63,9},{6,58,885},{63,47,4056},{6,58,885},{37,63,2690},{37,63,2690},{37,63,2690},{34,62,1570},{33,63,2227},{28,63,77},{28,63,77},
{26,51,116},{11,63,1227},{15,53,12},{43,63,225},{43,63,225},{43,63,225},{41,58,2},{62,16,1152},{30,63,9},{30,63,9},{18,52,4},{62,39,1152},{18,52,4},{63,47,884},{51,63,356},{47,63,4},{32,63,0},{63,47,884},{63,55,884},{32,63,0},{0,58,884},{63,55,884},{0,58,884},{34,0,1570},{34,0,1570},{34,0,1570},{34,0,1570},{28,63,41},{28,63,41},{28,63,41},{27,48,1},{13,55,1},
{13,55,1},{43,63,6493},{40,63,3882},{39,63,2880},{36,63,1584},{40,63,6982},{34,63,1966},{31,63,206},{28,57,971},{23,63,4927},{14,59,562},{50,63,2070},{46,63,842},{46,63,313},{43,62,25},{63,35,3318},{38,63,1326},{34,63,45},{11,59,545},{63,49,3318},{11,59,545},{39,63,2880},{39,63,2880},{39,63,2880},{36,63,1584},{34,63,2434},{31,63,206},{31,63,206},{29,53,114},{15,63,1329},{17,55,14},{46,63,313},
{46,63,313},{46,63,313},{43,61,0},{63,21,1152},{34,63,45},{34,63,45},{19,55,1},{63,42,1152},{19,55,1},{63,51,545},{54,63,225},{51,63,1},{39,63,0},{63,51,545},{63,57,545},{39,63,0},{0,59,545},{63,57,545},{0,59,545},{36,0,1568},{36,0,1568},{36,0,1568},{36,0,1568},{31,63,85},{31,63,85},{31,63,85},{29,50,1},{15,57,1},{15,57,1},{45,63,6113},{43,63,3938},{40,63,3065},
{38,63,1649},{43,63,6422},{35,63,1878},{34,63,365},{30,59,651},{26,63,4495},{16,60,318},{51,63,1698},{48,63,794},{48,63,394},{45,63,0},{63,39,2753},{41,63,1094},{38,63,106},{15,60,313},{47,59,2753},{15,60,313},{40,63,3065},{40,63,3065},{40,63,3065},{38,63,1649},{37,63,2610},{34,63,365},{34,63,365},{31,55,114},{20,63,1483},{19,57,14},{48,63,394},{48,63,394},{48,63,394},{45,63,0},{63,27,1152},
{38,63,106},{38,63,106},{21,57,1},{63,45,1152},{21,57,1},{63,54,313},{55,63,130},{54,63,1},{45,63,0},{63,54,313},{62,59,313},{45,63,0},{0,60,313},{62,59,313},{0,60,313},{38,0,1568},{38,0,1568},{38,0,1568},{38,0,1568},{33,63,128},{33,63,128},{33,63,128},{31,52,1},{17,59,1},{17,59,1},{46,63,5677},{43,63,3954},{43,63,3225},{40,63,1764},{45,63,5985},{37,63,1830},{37,63,605},
{32,60,410},{29,63,4159},{19,61,146},{53,63,1454},{51,63,770},{50,63,493},{47,63,25},{63,43,2273},{44,63,926},{41,63,194},{19,61,145},{63,53,2273},{19,61,145},{43,63,3225},{43,63,3225},{43,63,3225},{40,63,1764},{40,63,2818},{37,63,605},{37,63,605},{33,57,113},{23,63,1659},{21,59,14},{50,63,493},{50,63,493},{50,63,493},{47,63,25},{63,33,1152},{41,63,194},{41,63,194},{23,59,1},{47,56,1152},
{23,59,1},{63,57,145},{58,63,58},{57,63,1},{50,63,1},{63,57,145},{63,60,145},{50,63,1},{0,61,145},{63,60,145},{0,61,145},{40,0,1568},{40,0,1568},{40,0,1568},{40,0,1568},{34,63,185},{34,63,185},{34,63,185},{33,54,0},{19,61,1},{19,61,1},{48,63,5379},{46,63,3978},{46,63,3449},{43,63,1924},{46,63,5542},{40,63,1870},{38,63,890},{34,61,225},{32,63,3919},{22,62,43},{54,63,1242},
{53,63,809},{51,63,610},{49,63,101},{63,47,1878},{48,63,810},{44,63,314},{23,62,41},{63,55,1878},{23,62,41},{46,63,3449},{46,63,3449},{46,63,3449},{43,63,1924},{43,63,3058},{38,63,890},{38,63,890},{35,59,113},{27,63,1889},{23,61,14},{51,63,610},{51,63,610},{51,63,610},{49,63,101},{63,39,1152},{44,63,314},{44,63,314},{25,61,1},{47,59,1152},{25,61,1},{63,60,41},{60,63,17},{60,63,1},
{56,63,1},{63,60,41},{62,62,41},{56,63,1},{0,62,41},{62,62,41},{0,62,41},{42,0,1568},{42,0,1568},{42,0,1568},{42,0,1568},{37,63,233},{37,63,233},{37,63,233},{35,56,0},{21,63,1},{21,63,1},{50,63,5170},{48,63,4080},{48,63,3680},{46,63,2195},{48,63,5200},{43,63,2023},{41,63,1269},{37,62,133},{35,63,3772},{25,63,17},{57,63,1088},{55,63,861},{54,63,720},{52,63,241},{63,51,1536},
{51,63,768},{49,63,461},{28,63,0},{63,57,1536},{28,63,0},{48,63,3680},{48,63,3680},{48,63,3680},{46,63,2195},{46,63,3345},{41,63,1269},{41,63,1269},{37,61,114},{32,63,2200},{25,63,17},{54,63,720},{54,63,720},{54,63,720},{52,63,241},{61,49,1152},{49,63,461},{49,63,461},{28,63,0},{63,54,1152},{28,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},
{0,63,0},{63,63,0},{0,63,0},{44,0,1570},{44,0,1570},{44,0,1570},{44,0,1570},{40,63,317},{40,63,317},{40,63,317},{37,58,2},{25,63,17},{25,63,17},{51,63,4416},{50,63,3629},{48,63,3296},{47,63,2070},{50,63,4411},{46,63,1823},{43,63,1150},{39,63,50},{38,63,3132},{29,63,52},{57,63,768},{57,63,576},{56,63,505},{54,63,160},{63,53,1068},{54,63,544},{51,63,320},{33,63,1},{63,58,1068},
{33,63,1},{48,63,3296},{48,63,3296},{48,63,3296},{47,63,2070},{46,63,2881},{43,63,1150},{43,63,1150},{39,62,42},{34,63,1846},{29,63,52},{56,63,505},{56,63,505},{56,63,505},{54,63,160},{63,48,800},{51,63,320},{51,63,320},{33,63,1},{62,56,800},{33,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{46,0,1570},
{46,0,1570},{46,0,1570},{46,0,1570},{42,63,410},{42,63,410},{42,63,410},{39,60,2},{29,63,52},{29,63,52},{53,63,3826},{51,63,3136},{51,63,2880},{49,63,1961},{51,63,3648},{46,63,1615},{46,63,1086},{41,63,5},{41,63,2588},{32,63,116},{59,63,498},{57,63,384},{57,63,320},{56,63,116},{63,55,683},{55,63,342},{54,63,208},{39,63,1},{63,59,683},{39,63,1},{51,63,2880},{51,63,2880},{51,63,2880},
{49,63,1961},{48,63,2448},{46,63,1086},{46,63,1086},{41,63,5},{37,63,1558},{32,63,116},{57,63,320},{57,63,320},{57,63,320},{56,63,116},{63,51,512},{54,63,208},{54,63,208},{39,63,1},{63,57,512},{39,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{48,0,1568},{48,0,1568},{48,0,1568},{48,0,1568},{45,63,514},
{45,63,514},{45,63,514},{41,62,2},{32,63,116},{32,63,116},{54,63,3232},{53,63,2781},{53,63,2585},{51,63,1856},{53,63,3067},{48,63,1456},{48,63,1056},{43,63,10},{44,63,2140},{35,63,212},{60,63,272},{59,63,221},{59,63,185},{57,63,64},{63,57,384},{57,63,192},{55,63,125},{45,63,1},{63,60,384},{45,63,1},{53,63,2585},{53,63,2585},{53,63,2585},{51,63,1856},{51,63,2112},{48,63,1056},{48,63,1056},
{43,63,10},{40,63,1334},{35,63,212},{59,63,185},{59,63,185},{59,63,185},{57,63,64},{63,54,288},{55,63,125},{55,63,125},{45,63,1},{62,59,288},{45,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{50,0,1568},{50,0,1568},{50,0,1568},{50,0,1568},{46,63,605},{46,63,605},{46,63,605},{43,63,10},{35,63,212},
{35,63,212},{0,51,2665},{0,36,306},{0,26,5},{0,22,965},{0,34,5885},{0,22,3726},{0,21,1754},{0,14,4398},{0,16,6359},{0,13,4722},{0,51,2665},{0,36,306},{0,26,5},{0,22,965},{17,0,5885},{0,22,3726},{0,21,1754},{0,14,4398},{34,0,5885},{0,14,4398},{0,25,0},{0,25,0},{0,25,0},{0,12,1},{0,12,545},{0,11,212},{0,11,212},{0,6,337},{0,5,605},{0,5,374},{0,25,0},
{0,25,0},{0,25,0},{0,12,1},{6,0,545},{0,11,212},{0,11,212},{0,6,337},{12,0,545},{0,6,337},{26,0,2665},{0,36,306},{0,26,5},{0,22,965},{26,0,2665},{51,0,2665},{0,22,965},{0,17,2665},{51,0,2665},{0,17,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,57,2665},{0,39,202},{0,29,13},
{0,24,818},{0,39,6669},{0,25,3974},{0,22,1790},{0,16,4826},{0,18,7285},{0,16,5267},{0,57,2665},{0,39,202},{0,29,13},{0,24,818},{19,1,6669},{0,25,3974},{0,22,1790},{0,16,4826},{39,0,6669},{0,16,4826},{0,31,0},{0,31,0},{0,31,0},{0,15,1},{0,15,841},{0,12,337},{0,12,337},{0,7,493},{0,7,934},{0,7,574},{0,31,0},{0,31,0},{0,31,0},{0,15,1},{8,0,841},
{0,12,337},{0,12,337},{0,7,493},{15,0,841},{0,7,493},{29,0,2665},{0,39,202},{1,28,2},{0,24,818},{29,0,2665},{57,0,2665},{0,24,818},{0,19,2665},{57,0,2665},{0,19,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,63,2665},{0,44,116},{1,31,66},{0,27,698},{0,42,7541},{0,28,4254},{0,25,1854},
{0,18,5281},{0,19,8271},{0,16,5795},{0,63,2665},{0,44,116},{1,31,50},{0,27,698},{15,13,7538},{0,28,4254},{0,25,1854},{0,18,5281},{31,6,7538},{0,18,5281},{0,36,1},{0,36,1},{0,36,1},{0,18,1},{0,18,1201},{0,14,468},{0,14,468},{0,8,730},{0,8,1325},{0,8,830},{0,36,1},{0,36,1},{0,36,1},{0,18,1},{9,0,1201},{0,14,468},{0,14,468},{0,8,730},{18,0,1201},
{0,8,730},{32,0,2665},{0,44,116},{3,30,2},{0,27,698},{32,0,2665},{63,0,2665},{0,27,698},{0,21,2665},{63,0,2665},{0,21,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,63,2781},{0,47,52},{1,33,148},{0,29,610},{0,46,8493},{0,31,4566},{0,27,1962},{0,18,5809},{0,22,9367},{0,18,6385},{2,63,2753},
{0,47,52},{2,33,129},{0,29,610},{23,0,8493},{0,31,4566},{0,27,1962},{0,18,5809},{46,0,8493},{0,18,5809},{0,42,1},{0,42,1},{0,42,1},{0,21,1},{0,21,1625},{0,16,637},{0,16,637},{0,10,965},{0,10,1806},{0,10,1134},{0,42,1},{0,42,1},{0,42,1},{0,21,1},{11,0,1625},{0,16,637},{0,16,637},{0,10,965},{21,0,1625},{0,10,965},{35,0,2665},{0,47,52},{5,32,1},
{0,29,610},{35,0,2665},{63,3,2665},{0,29,610},{0,23,2665},{63,3,2665},{0,23,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,63,3105},{0,51,10},{1,35,297},{0,32,481},{0,51,9670},{0,33,4965},{0,30,2120},{0,21,6413},{0,24,10749},{0,19,7191},{3,63,2989},{0,51,10},{2,36,257},{0,32,481},{25,1,9669},
{0,33,4965},{0,30,2120},{0,21,6413},{47,2,9669},{0,21,6413},{0,49,0},{0,49,0},{0,49,0},{0,25,1},{0,25,2178},{0,19,850},{0,19,850},{0,11,1325},{0,11,2406},{0,10,1521},{0,49,0},{0,49,0},{0,49,0},{0,25,1},{12,1,2178},{0,19,850},{0,19,850},{0,11,1325},{25,0,2178},{0,11,1325},{38,0,2665},{0,51,10},{8,34,2},{0,32,481},{38,0,2665},{62,7,2665},{0,32,481},
{0,25,2669},{62,7,2665},{0,25,2669},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,63,3437},{1,54,33},{3,37,425},{1,33,457},{0,57,9670},{0,36,4629},{0,31,1654},{0,24,6165},{0,26,11014},{0,22,7031},{6,63,3101},{2,53,10},{4,38,257},{1,33,441},{28,1,9669},{0,36,4629},{0,31,1654},{0,24,6165},{47,5,9669},
{0,24,6165},{1,53,32},{1,53,32},{1,53,32},{1,27,32},{0,31,2178},{0,22,666},{0,22,666},{0,13,1160},{0,14,2534},{0,13,1449},{2,51,0},{2,51,0},{2,51,0},{2,27,1},{15,1,2178},{0,22,666},{0,22,666},{0,13,1160},{31,0,2178},{0,13,1160},{41,0,2665},{1,54,1},{10,36,2},{0,33,394},{41,0,2665},{62,10,2665},{0,33,394},{0,27,2669},{62,10,2665},{0,27,2669},{1,0,32},
{1,0,32},{1,0,32},{1,0,32},{0,6,0},{0,6,0},{0,6,0},{0,3,0},{0,2,13},{0,2,13},{6,63,3917},{2,57,129},{3,40,609},{1,36,497},{0,63,9670},{0,39,4325},{0,33,1274},{0,25,5878},{0,28,11299},{0,24,6917},{8,63,3233},{4,55,10},{6,40,257},{3,35,441},{31,1,9669},{0,39,4325},{0,33,1274},{0,25,5878},{47,8,9669},{0,25,5878},{2,57,128},{2,57,128},{2,57,128},
{2,30,129},{0,36,2180},{0,28,490},{0,28,490},{0,16,1018},{0,16,2691},{0,14,1441},{4,53,0},{4,53,0},{4,53,0},{4,29,1},{15,7,2178},{0,28,490},{0,28,490},{0,16,1018},{31,3,2178},{0,16,1018},{44,0,2665},{3,56,1},{12,38,2},{0,36,306},{44,0,2665},{62,13,2665},{0,36,306},{0,29,2669},{62,13,2665},{0,29,2669},{2,0,128},{2,0,128},{2,0,128},{2,0,128},{0,12,0},
{0,12,0},{0,12,0},{0,6,0},{0,5,45},{0,5,45},{6,63,4541},{3,59,297},{5,42,865},{3,38,625},{2,63,9749},{0,45,4021},{0,36,914},{0,27,5581},{0,31,11611},{0,27,6877},{11,63,3377},{6,57,10},{8,42,257},{5,37,441},{34,0,9669},{0,45,4021},{0,36,914},{0,27,5581},{47,11,9669},{0,27,5581},{3,61,288},{3,61,288},{3,61,288},{3,32,288},{0,42,2180},{0,31,338},{0,31,338},
{0,18,865},{0,19,2875},{0,16,1427},{6,55,0},{6,55,0},{6,55,0},{6,31,1},{15,13,2178},{0,31,338},{0,31,338},{0,18,865},{31,6,2178},{0,18,865},{47,0,2665},{5,58,1},{14,40,2},{0,38,225},{47,0,2665},{62,16,2665},{0,38,225},{0,31,2669},{62,16,2665},{0,31,2669},{3,0,288},{3,0,288},{3,0,288},{3,0,288},{0,18,0},{0,18,0},{0,18,0},{0,9,0},{0,8,109},
{0,8,109},{9,63,5374},{4,62,570},{6,44,1269},{4,40,841},{3,63,10021},{0,47,3745},{0,39,593},{0,30,5294},{0,36,12029},{0,28,6810},{14,63,3558},{8,59,9},{10,44,254},{7,39,446},{37,1,9669},{0,47,3745},{0,39,593},{0,30,5294},{63,6,9669},{0,30,5294},{4,63,561},{4,63,561},{4,63,561},{4,35,546},{0,49,2178},{0,34,218},{0,34,218},{0,21,725},{0,22,3117},{0,19,1433},{8,58,1},
{8,58,1},{8,58,1},{8,33,2},{24,1,2178},{0,34,218},{0,34,218},{0,21,725},{49,0,2178},{0,21,725},{50,0,2665},{7,60,1},{16,42,5},{0,41,157},{50,0,2665},{62,19,2665},{0,41,157},{0,33,2669},{62,19,2665},{0,33,2669},{4,0,545},{4,0,545},{4,0,545},{4,0,545},{0,25,0},{0,25,0},{0,25,0},{0,12,1},{0,11,212},{0,11,212},{11,63,6350},{6,63,905},{7,47,1678},
{4,42,1102},{6,63,10453},{0,50,3485},{0,42,361},{0,32,5054},{0,36,12429},{0,31,6794},{15,63,3710},{10,61,9},{12,46,254},{9,41,446},{40,1,9669},{0,50,3485},{0,42,361},{0,32,5054},{63,9,9669},{0,32,5054},{6,63,901},{6,63,901},{6,63,901},{5,37,842},{0,55,2178},{0,38,125},{0,38,125},{0,24,629},{0,25,3365},{0,22,1489},{10,60,1},{10,60,1},{10,60,1},{10,35,2},{27,1,2178},
{0,38,125},{0,38,125},{0,24,629},{55,0,2178},{0,24,629},{53,0,2665},{9,62,1},{18,44,5},{0,43,117},{53,0,2665},{62,22,2665},{0,43,117},{0,35,2669},{62,22,2665},{0,35,2669},{5,0,841},{5,0,841},{5,0,841},{5,0,841},{0,31,0},{0,31,0},{0,31,0},{0,15,1},{0,12,337},{0,12,337},{12,63,7350},{7,63,1450},{9,48,2190},{6,44,1422},{6,63,11045},{0,53,3293},{0,45,193},
{0,35,4870},{0,39,12829},{0,32,6807},{17,63,3905},{12,63,9},{14,48,267},{11,43,446},{43,1,9669},{0,53,3293},{0,45,193},{0,35,4870},{63,12,9669},{0,35,4870},{7,63,1369},{7,63,1369},{7,63,1369},{6,40,1202},{0,61,2178},{0,42,53},{0,42,53},{0,25,520},{0,28,3645},{0,24,1573},{12,62,1},{12,62,1},{12,62,1},{12,37,2},{30,1,2178},{0,42,53},{0,42,53},{0,25,520},{61,0,2178},
{0,25,520},{56,0,2665},{12,63,8},{20,46,5},{0,45,72},{56,0,2665},{62,25,2665},{0,45,72},{0,37,2669},{62,25,2665},{0,37,2669},{6,0,1201},{6,0,1201},{6,0,1201},{6,0,1201},{0,36,1},{0,36,1},{0,36,1},{0,18,1},{0,14,468},{0,14,468},{14,63,8614},{9,63,2129},{9,51,2758},{6,47,1822},{9,63,11765},{0,57,3125},{0,47,81},{0,36,4629},{0,42,13261},{0,35,6855},{20,63,4081},
{15,63,49},{16,50,257},{13,45,446},{46,1,9669},{0,57,3125},{0,47,81},{0,36,4629},{63,15,9669},{0,36,4629},{9,63,1933},{9,63,1933},{9,63,1933},{7,42,1626},{1,63,2212},{0,45,13},{0,45,13},{0,27,421},{0,31,3957},{0,25,1673},{14,63,2},{14,63,2},{14,63,2},{14,39,2},{33,1,2178},{0,45,13},{0,45,13},{0,27,421},{63,2,2178},{0,27,421},{59,0,2665},{15,63,40},{22,48,2},
{0,47,45},{59,0,2665},{62,28,2665},{0,47,45},{0,39,2669},{62,28,2665},{0,39,2669},{7,0,1625},{7,0,1625},{7,0,1625},{7,0,1625},{0,42,1},{0,42,1},{0,42,1},{0,21,1},{0,16,637},{0,16,637},{15,63,10085},{11,63,3185},{11,53,3481},{8,49,2337},{11,63,12845},{0,62,2958},{0,50,14},{0,38,4381},{0,45,13802},{0,36,6942},{23,63,4318},{17,63,154},{18,52,254},{14,48,456},{49,1,9669},
{0,62,2958},{0,50,14},{0,38,4381},{46,27,9669},{0,38,4381},{10,63,2717},{10,63,2717},{10,63,2717},{8,45,2180},{3,63,2394},{0,49,0},{0,49,0},{0,30,317},{0,33,4314},{0,28,1811},{17,63,10},{17,63,10},{17,63,10},{16,41,1},{31,12,2178},{0,49,0},{0,49,0},{0,30,317},{62,6,2178},{0,30,317},{62,1,2665},{20,63,113},{24,50,4},{0,50,13},{62,1,2665},{63,31,2665},{0,50,13},
{0,42,2669},{63,31,2665},{0,42,2669},{8,0,2180},{8,0,2180},{8,0,2180},{8,0,2180},{0,49,0},{0,49,0},{0,49,0},{0,25,1},{0,19,850},{0,19,850},{17,63,11454},{12,63,4143},{12,55,4141},{9,51,2805},{12,63,13803},{0,63,2871},{1,52,18},{0,41,4182},{0,50,14186},{0,39,6911},{26,63,4550},{20,63,306},{20,54,254},{17,49,446},{52,1,9669},{0,63,2870},{1,52,9},{0,41,4181},{46,30,9669},
{0,41,4181},{12,63,3414},{12,63,3414},{12,63,3414},{9,47,2673},{3,63,2691},{1,52,14},{1,52,14},{0,32,245},{0,36,4587},{0,31,1906},{19,63,25},{19,63,25},{19,63,25},{18,43,1},{31,18,2178},{2,51,0},{2,51,0},{0,32,244},{62,9,2178},{0,32,244},{63,5,2665},{23,63,193},{26,52,4},{0,52,4},{63,5,2665},{63,34,2665},{0,52,4},{0,44,2669},{63,34,2665},{0,44,2669},{9,0,2669},
{9,0,2669},{9,0,2669},{9,0,2669},{0,55,1},{0,55,1},{0,55,1},{0,28,2},{0,22,1009},{0,22,1009},{20,63,11990},{15,63,4575},{14,57,4141},{11,53,2805},{15,63,14195},{3,63,3015},{3,54,18},{0,43,4122},{0,53,13674},{0,41,6249},{29,63,4814},{23,63,522},{22,56,254},{19,51,446},{55,1,9669},{3,63,3006},{3,54,9},{0,43,4041},{47,32,9669},{0,43,4041},{14,63,3561},{14,63,3561},{14,63,3561},
{11,49,2670},{6,63,2795},{3,54,14},{3,54,14},{2,34,245},{0,39,4227},{0,33,1470},{21,63,58},{21,63,58},{21,63,58},{20,45,1},{34,17,2178},{4,53,0},{4,53,0},{0,35,180},{62,12,2178},{0,35,180},{63,11,2665},{26,63,305},{28,54,4},{2,54,4},{63,11,2665},{63,37,2665},{2,54,4},{0,46,2669},{63,37,2665},{0,46,2669},{11,0,2669},{11,0,2669},{11,0,2669},{11,0,2669},{2,57,1},
{2,57,1},{2,57,1},{2,30,2},{0,25,801},{0,25,801},{22,63,12554},{17,63,5066},{16,59,4118},{13,55,2805},{17,63,14614},{6,63,3255},{5,56,18},{1,45,4078},{0,56,13194},{0,44,5633},{31,63,5090},{26,63,802},{24,58,254},{21,53,446},{58,1,9669},{7,63,3198},{5,56,9},{0,45,3846},{53,32,9669},{0,45,3846},{15,63,3710},{15,63,3710},{15,63,3710},{13,51,2670},{9,63,2931},{5,56,14},{5,56,14},
{4,36,245},{0,42,3899},{0,36,1110},{23,63,90},{23,63,90},{23,63,90},{22,47,1},{37,17,2178},{6,55,0},{6,55,0},{0,37,136},{62,15,2178},{0,37,136},{63,17,2665},{30,63,442},{30,56,4},{4,56,4},{63,17,2665},{63,40,2665},{4,56,4},{0,47,2677},{63,40,2665},{0,47,2677},{13,0,2669},{13,0,2669},{13,0,2669},{13,0,2669},{4,59,1},{4,59,1},{4,59,1},{4,31,5},{0,28,625},
{0,28,625},{23,63,13130},{20,63,5706},{18,61,4122},{15,57,2807},{20,63,15102},{9,63,3625},{7,59,15},{3,47,4086},{0,59,12686},{0,47,5027},{34,63,5386},{29,63,1169},{26,60,257},{23,56,446},{62,0,9669},{12,63,3469},{7,59,11},{0,47,3658},{62,31,9669},{0,47,3658},{17,63,3905},{17,63,3905},{17,63,3905},{16,53,2677},{12,63,3112},{7,58,9},{7,58,9},{6,38,246},{0,45,3576},{0,38,755},{26,63,136},
{26,63,136},{26,63,136},{24,49,4},{49,0,2178},{8,57,2},{8,57,2},{0,39,85},{62,18,2178},{0,39,85},{63,23,2665},{34,63,628},{32,59,2},{4,59,2},{63,23,2665},{63,43,2665},{4,59,2},{0,50,2669},{63,43,2665},{0,50,2669},{15,0,2677},{15,0,2677},{15,0,2677},{15,0,2677},{7,60,4},{7,60,4},{7,60,4},{7,33,5},{0,33,424},{0,33,424},{26,63,13650},{23,63,6378},{20,63,4122},
{17,59,2799},{23,63,15558},{12,63,4065},{9,61,15},{6,49,4074},{0,62,12278},{0,49,4534},{36,63,5698},{30,63,1556},{28,62,257},{25,58,446},{63,4,9669},{15,63,3749},{9,61,11},{0,49,3510},{62,34,9669},{0,49,3510},{20,63,4041},{20,63,4041},{20,63,4041},{17,56,2670},{15,63,3304},{9,60,9},{9,60,9},{8,40,246},{0,50,3317},{0,41,499},{29,63,200},{29,63,200},{29,63,200},{26,51,4},{52,0,2178},
{10,59,2},{10,59,2},{0,42,45},{62,21,2178},{0,42,45},{63,29,2665},{37,63,820},{34,61,2},{6,61,2},{63,29,2665},{63,46,2665},{6,61,2},{0,52,2669},{63,46,2665},{0,52,2669},{17,0,2669},{17,0,2669},{17,0,2669},{17,0,2669},{9,62,4},{9,62,4},{9,62,4},{9,35,5},{0,36,296},{0,36,296},{29,63,14234},{23,63,7050},{23,63,4242},{19,61,2799},{26,63,16046},{15,63,4601},{11,63,15},
{8,51,4074},{0,63,12051},{0,50,4110},{37,63,6002},{34,63,1989},{31,63,270},{27,60,446},{63,10,9669},{20,63,4081},{11,63,11},{0,52,3374},{62,37,9669},{0,52,3374},{23,63,4241},{23,63,4241},{23,63,4241},{19,58,2670},{17,63,3485},{11,62,9},{11,62,9},{10,42,246},{0,53,3069},{0,43,306},{31,63,269},{31,63,269},{31,63,269},{28,53,4},{55,0,2178},{12,61,2},{12,61,2},{0,44,18},{62,24,2178},
{0,44,18},{63,35,2665},{41,63,1037},{36,63,2},{8,63,2},{63,35,2665},{63,49,2665},{8,63,2},{0,54,2669},{63,49,2665},{0,54,2669},{19,0,2669},{19,0,2669},{19,0,2669},{19,0,2669},{11,63,5},{11,63,5},{11,63,5},{11,37,5},{0,40,193},{0,40,193},{31,63,13639},{26,63,7005},{25,63,4454},{21,62,2721},{28,63,15204},{17,63,4285},{13,63,24},{9,52,3457},{0,63,11020},{0,52,3109},{40,63,5381},
{34,63,1890},{33,63,346},{29,61,296},{62,16,8712},{23,63,3636},{14,63,2},{0,53,2676},{62,39,8712},{0,53,2676},{25,63,4454},{25,63,4454},{25,63,4454},{21,60,2670},{19,63,3707},{13,63,24},{13,63,24},{12,44,246},{0,56,2853},{0,45,153},{33,63,346},{33,63,346},{33,63,346},{30,55,4},{58,0,2178},{14,63,2},{14,63,2},{0,46,10},{62,27,2178},{0,46,10},{63,39,2178},{44,63,872},{39,63,1},
{14,63,1},{63,39,2178},{47,59,2178},{14,63,1},{0,55,2180},{47,59,2178},{0,55,2180},{21,0,2669},{21,0,2669},{21,0,2669},{21,0,2669},{13,63,20},{13,63,20},{13,63,20},{13,39,5},{0,45,104},{0,45,104},{33,63,12766},{29,63,6930},{26,63,4694},{24,63,2685},{29,63,14014},{20,63,3898},{16,63,101},{13,53,2722},{3,63,10057},{0,54,2129},{43,63,4689},{37,63,1718},{36,63,452},{32,62,164},{63,19,7578},
{26,63,3078},{18,63,17},{0,55,1905},{63,41,7578},{0,55,1905},{26,63,4694},{26,63,4694},{26,63,4694},{24,61,2670},{22,63,3960},{16,63,101},{16,63,101},{14,47,242},{0,59,2650},{0,48,49},{36,63,452},{36,63,452},{36,63,452},{33,57,4},{53,16,2178},{18,63,17},{18,63,17},{0,49,1},{63,30,2178},{0,49,1},{63,42,1625},{46,63,650},{42,63,0},{21,63,0},{63,42,1625},{62,53,1625},{21,63,0},
{0,56,1625},{62,53,1625},{0,56,1625},{24,0,2669},{24,0,2669},{24,0,2669},{24,0,2669},{15,63,50},{15,63,50},{15,63,50},{15,42,2},{0,48,40},{0,48,40},{34,63,11970},{31,63,6969},{29,63,4878},{26,63,2670},{31,63,13161},{21,63,3638},{18,63,229},{15,55,2146},{6,63,9313},{0,56,1410},{43,63,4097},{40,63,1614},{37,63,541},{34,62,69},{58,32,6661},{29,63,2654},{21,63,65},{0,56,1346},{52,48,6661},
{0,56,1346},{29,63,4878},{29,63,4878},{29,63,4878},{26,63,2670},{23,63,4206},{18,63,229},{18,63,229},{15,49,242},{0,62,2506},{0,51,9},{37,63,541},{37,63,541},{37,63,541},{35,59,4},{56,16,2178},{21,63,65},{21,63,65},{2,51,1},{62,33,2178},{2,51,1},{63,45,1201},{48,63,481},{45,63,0},{27,63,0},{63,45,1201},{63,54,1201},{27,63,0},{0,57,1201},{63,54,1201},{0,57,1201},{26,0,2669},
{26,0,2669},{26,0,2669},{26,0,2669},{17,63,85},{17,63,85},{17,63,85},{16,44,4},{0,51,8},{0,51,8},{37,63,11370},{33,63,6958},{31,63,5145},{28,63,2718},{34,63,12263},{23,63,3410},{21,63,405},{17,56,1665},{9,63,8665},{0,57,905},{46,63,3585},{43,63,1574},{40,63,637},{36,63,20},{63,27,5829},{32,63,2294},{26,63,130},{0,57,901},{63,45,5829},{0,57,901},{31,63,5145},{31,63,5145},{31,63,5145},
{28,63,2718},{26,63,4430},{21,63,405},{21,63,405},{18,50,246},{0,63,2520},{2,53,9},{40,63,637},{40,63,637},{40,63,637},{37,61,4},{59,16,2178},{26,63,130},{26,63,130},{4,53,1},{62,36,2178},{4,53,1},{63,48,841},{51,63,337},{48,63,1},{33,63,0},{63,48,841},{62,56,841},{33,63,0},{0,58,841},{62,56,841},{0,58,841},{28,0,2669},{28,0,2669},{28,0,2669},{28,0,2669},{20,63,117},
{20,63,117},{20,63,117},{18,46,4},{1,54,1},{1,54,1},{37,63,10794},{34,63,6895},{34,63,5374},{30,63,2813},{36,63,11574},{26,63,3274},{23,63,622},{19,57,1222},{13,63,8106},{1,59,562},{48,63,3170},{43,63,1494},{43,63,765},{39,63,4},{63,31,5082},{34,63,1998},{29,63,218},{0,59,554},{63,47,5082},{0,59,554},{34,63,5374},{34,63,5374},{34,63,5374},{30,63,2813},{29,63,4686},{23,63,622},{23,63,622},
{20,52,246},{4,63,2714},{4,55,9},{43,63,765},{43,63,765},{43,63,765},{39,63,4},{62,16,2178},{29,63,218},{29,63,218},{6,55,1},{62,39,2178},{6,55,1},{63,51,545},{54,63,225},{51,63,1},{39,63,0},{63,51,545},{63,57,545},{39,63,0},{0,59,545},{63,57,545},{0,59,545},{30,0,2669},{30,0,2669},{30,0,2669},{30,0,2669},{22,63,180},{22,63,180},{22,63,180},{21,47,5},{3,56,1},
{3,56,1},{40,63,10197},{37,63,6930},{36,63,5678},{32,63,2993},{37,63,10780},{29,63,3229},{26,63,945},{21,59,853},{17,63,7593},{4,60,293},{48,63,2756},{46,63,1454},{45,63,914},{41,63,37},{63,35,4344},{38,63,1740},{32,63,360},{2,60,289},{63,49,4344},{2,60,289},{36,63,5678},{36,63,5678},{36,63,5678},{32,63,2993},{31,63,5067},{26,63,945},{26,63,945},{22,55,242},{9,63,2979},{6,57,10},{45,63,914},
{45,63,914},{45,63,914},{41,63,37},{63,21,2178},{32,63,360},{32,63,360},{8,57,1},{63,42,2178},{8,57,1},{63,54,288},{55,63,125},{54,63,0},{45,63,1},{63,54,288},{62,59,288},{45,63,1},{0,60,288},{62,59,288},{0,60,288},{32,0,2669},{32,0,2669},{32,0,2669},{32,0,2669},{25,63,250},{25,63,250},{25,63,250},{23,50,2},{5,59,2},{5,59,2},{43,63,9837},{40,63,7042},{37,63,5945},
{34,63,3198},{40,63,10204},{32,63,3344},{29,63,1289},{24,59,589},{20,63,7225},{7,61,130},{51,63,2436},{48,63,1460},{48,63,1060},{43,63,122},{63,39,3779},{41,63,1580},{37,63,505},{6,61,129},{47,59,3779},{6,61,129},{37,63,5945},{37,63,5945},{37,63,5945},{34,63,3198},{34,63,5304},{29,63,1289},{29,63,1289},{24,57,242},{13,63,3261},{8,59,10},{48,63,1060},{48,63,1060},{48,63,1060},{43,63,122},{63,27,2178},
{37,63,505},{37,63,505},{10,59,1},{63,45,2178},{10,59,1},{63,57,128},{58,63,53},{57,63,0},{51,63,0},{63,57,128},{63,60,128},{51,63,0},{0,61,128},{63,60,128},{0,61,128},{34,0,2669},{34,0,2669},{34,0,2669},{34,0,2669},{27,63,337},{27,63,337},{27,63,337},{25,52,2},{7,61,2},{7,61,2},{43,63,9437},{40,63,7154},{40,63,6193},{37,63,3454},{42,63,9783},{34,63,3398},{32,63,1740},
{26,61,397},{23,63,6953},{9,62,37},{53,63,2246},{51,63,1508},{50,63,1213},{46,63,250},{63,43,3299},{44,63,1484},{40,63,673},{10,62,33},{63,53,3299},{10,62,33},{40,63,6193},{40,63,6193},{40,63,6193},{37,63,3454},{37,63,5624},{32,63,1740},{32,63,1740},{26,59,242},{17,63,3589},{10,61,10},{50,63,1213},{50,63,1213},{50,63,1213},{46,63,250},{63,33,2178},{40,63,673},{40,63,673},{12,61,1},{47,56,2178},
{12,61,1},{63,60,32},{61,63,13},{60,63,0},{57,63,0},{63,60,32},{62,62,32},{57,63,0},{0,62,32},{62,62,32},{0,62,32},{36,0,2669},{36,0,2669},{36,0,2669},{36,0,2669},{29,63,405},{29,63,405},{29,63,405},{27,54,2},{9,63,2},{9,63,2},{46,63,9141},{43,63,7234},{43,63,6505},{40,63,3806},{43,63,9340},{37,63,3622},{34,63,2149},{27,62,277},{27,63,6772},{12,63,10},{54,63,2052},
{53,63,1601},{51,63,1348},{48,63,436},{63,47,2904},{47,63,1452},{44,63,872},{14,63,1},{63,55,2904},{14,63,1},{43,63,6505},{43,63,6505},{43,63,6505},{40,63,3806},{40,63,5976},{34,63,2149},{34,63,2149},{28,61,242},{21,63,3955},{12,63,10},{51,63,1348},{51,63,1348},{51,63,1348},{48,63,436},{63,39,2178},{44,63,872},{44,63,872},{14,63,1},{47,59,2178},{14,63,1},{63,63,0},{63,63,0},{63,63,0},
{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{38,0,2669},{38,0,2669},{38,0,2669},{38,0,2669},{32,63,520},{32,63,520},{32,63,520},{29,56,2},{12,63,10},{12,63,10},{46,63,8097},{46,63,6510},{43,63,5893},{41,63,3605},{46,63,8074},{37,63,3244},{37,63,2019},{30,62,129},{30,63,5794},{16,63,58},{56,63,1563},{54,63,1161},{54,63,1017},{51,63,337},{63,49,2166},
{49,63,1083},{46,63,650},{21,63,0},{63,56,2166},{21,63,0},{43,63,5893},{43,63,5893},{43,63,5893},{41,63,3605},{40,63,5238},{37,63,2019},{37,63,2019},{30,62,113},{24,63,3401},{16,63,58},{54,63,1017},{54,63,1017},{54,63,1017},{51,63,337},{63,42,1625},{46,63,650},{46,63,650},{21,63,0},{62,53,1625},{21,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},
{0,63,0},{63,63,0},{0,63,0},{40,0,2665},{40,0,2665},{40,0,2665},{40,0,2665},{34,63,610},{34,63,610},{34,63,610},{31,58,0},{16,63,58},{16,63,58},{48,63,7165},{46,63,5854},{46,63,5325},{43,63,3434},{46,63,7050},{40,63,2932},{37,63,1955},{32,62,57},{32,63,5021},{20,63,117},{57,63,1137},{54,63,889},{54,63,745},{52,63,250},{63,51,1601},{51,63,801},{48,63,481},{27,63,0},{63,57,1601},
{27,63,0},{46,63,5325},{46,63,5325},{46,63,5325},{43,63,3434},{43,63,4622},{37,63,1955},{37,63,1955},{32,62,41},{27,63,2977},{20,63,117},{54,63,745},{54,63,745},{54,63,745},{52,63,250},{63,45,1201},{48,63,481},{48,63,481},{27,63,0},{63,54,1201},{27,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{42,0,2665},
{42,0,2665},{42,0,2665},{42,0,2665},{37,63,730},{37,63,730},{37,63,730},{33,60,1},{20,63,117},{20,63,117},{50,63,6415},{48,63,5277},{48,63,4877},{45,63,3330},{48,63,6117},{43,63,2716},{40,63,1843},{35,63,10},{35,63,4341},{23,63,205},{57,63,801},{57,63,609},{56,63,530},{54,63,169},{63,53,1121},{52,63,571},{51,63,337},{33,63,0},{63,58,1121},{33,63,0},{48,63,4877},{48,63,4877},{48,63,4877},
{45,63,3330},{45,63,4146},{40,63,1843},{40,63,1843},{35,63,10},{30,63,2617},{23,63,205},{56,63,530},{56,63,530},{56,63,530},{54,63,169},{63,48,841},{51,63,337},{51,63,337},{33,63,0},{62,56,841},{33,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{44,0,2665},{44,0,2665},{44,0,2665},{44,0,2665},{39,63,865},
{39,63,865},{39,63,865},{35,62,1},{23,63,205},{23,63,205},{51,63,5637},{50,63,4826},{48,63,4445},{47,63,3189},{48,63,5365},{43,63,2524},{43,63,1795},{37,63,5},{37,63,3750},{27,63,320},{59,63,531},{57,63,401},{57,63,337},{55,63,122},{63,55,726},{55,63,363},{54,63,225},{39,63,0},{63,59,726},{39,63,0},{48,63,4445},{48,63,4445},{48,63,4445},{47,63,3189},{46,63,3654},{43,63,1795},{43,63,1795},
{37,63,5},{32,63,2329},{27,63,320},{57,63,337},{57,63,337},{57,63,337},{55,63,122},{63,51,545},{54,63,225},{54,63,225},{39,63,0},{63,57,545},{39,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{46,0,2665},{46,0,2665},{46,0,2665},{46,0,2665},{40,63,1010},{40,63,1010},{40,63,1010},{37,63,5},{27,63,320},
{27,63,320},{3,63,10504},{0,62,1552},{0,44,169},{0,38,3866},{0,57,18065},{0,39,12152},{0,35,6099},{0,24,13992},{0,26,19423},{0,22,14922},{6,63,10216},{0,62,1552},{0,44,169},{0,38,3866},{20,17,18065},{0,39,12152},{0,35,6099},{0,24,13992},{57,0,18065},{0,24,13992},{0,35,0},{0,35,0},{0,35,0},{0,17,1},{0,17,1105},{0,14,424},{0,14,424},{0,8,666},{0,8,1217},{0,7,766},{0,35,0},
{0,35,0},{0,35,0},{0,17,1},{9,0,1105},{0,14,424},{0,14,424},{0,8,666},{17,0,1105},{0,8,666},{34,17,9248},{0,62,1552},{0,44,169},{0,38,3866},{34,17,9248},{62,12,9248},{0,38,3866},{0,28,9256},{62,12,9248},{0,28,9256},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{5,63,11298},{0,63,1341},{0,47,65},
{0,38,3578},{0,61,19334},{0,42,12584},{0,36,6093},{0,24,14696},{0,28,20850},{0,24,15720},{6,63,10792},{0,63,1341},{0,47,65},{0,38,3578},{30,1,19334},{0,42,12584},{0,36,6093},{0,24,14696},{61,0,19334},{0,24,14696},{0,41,0},{0,41,0},{0,41,0},{0,20,1},{0,20,1513},{0,16,585},{0,16,585},{0,10,901},{0,9,1681},{0,8,1070},{0,41,0},{0,41,0},{0,41,0},{0,20,1},{10,1,1513},
{0,16,585},{0,16,585},{0,10,901},{20,0,1513},{0,10,901},{37,17,9248},{0,63,1341},{0,47,65},{0,38,3578},{37,17,9248},{62,15,9248},{0,38,3578},{0,30,9256},{62,15,9248},{0,30,9256},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{6,63,12200},{0,63,1325},{0,49,9},{0,41,3298},{0,63,20705},{0,42,13032},{0,38,6147},
{0,27,15400},{0,31,22426},{0,25,16626},{9,63,11512},{0,63,1325},{0,49,9},{0,41,3298},{31,3,20689},{0,42,13032},{0,38,6147},{0,27,15400},{63,1,20689},{0,27,15400},{0,47,0},{0,47,0},{0,47,0},{0,23,1},{0,23,1985},{0,19,769},{0,19,769},{0,11,1202},{0,11,2193},{0,10,1374},{0,47,0},{0,47,0},{0,47,0},{0,23,1},{12,0,1985},{0,19,769},{0,19,769},{0,11,1202},{23,0,1985},
{0,11,1202},{48,1,9248},{0,63,1325},{0,49,9},{0,41,3298},{48,1,9248},{63,17,9248},{0,41,3298},{0,32,9250},{63,17,9248},{0,32,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{6,63,13288},{0,63,1565},{0,51,4},{0,44,3050},{2,63,22214},{0,45,13496},{0,41,6227},{0,28,16225},{0,31,24090},{0,27,17528},{9,63,12344},
{0,63,1565},{0,51,4},{0,44,3050},{34,1,22129},{0,45,13496},{0,41,6227},{0,28,16225},{63,3,22129},{0,28,16225},{0,53,0},{0,53,0},{0,53,0},{0,26,1},{0,26,2521},{0,22,985},{0,22,985},{0,13,1517},{0,11,2801},{0,11,1766},{0,53,0},{0,53,0},{0,53,0},{0,26,1},{13,1,2521},{0,22,985},{0,22,985},{0,13,1517},{26,0,2521},{0,13,1517},{51,1,9248},{1,63,1552},{1,51,0},
{0,44,3050},{51,1,9248},{63,20,9248},{0,44,3050},{0,34,9250},{63,20,9248},{0,34,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{6,63,14818},{1,63,2106},{0,54,58},{0,47,2792},{3,63,24091},{0,50,14075},{0,42,6341},{0,30,17106},{0,33,26067},{0,28,18692},{12,63,13474},{3,63,2077},{1,54,50},{0,47,2792},{31,12,23851},
{0,50,14075},{0,42,6341},{0,30,17106},{62,6,23851},{0,30,17106},{0,59,1},{0,59,1},{0,59,1},{0,30,0},{0,30,3200},{0,25,1258},{0,25,1258},{0,13,1940},{0,14,3542},{0,13,2229},{0,59,1},{0,59,1},{0,59,1},{0,30,0},{15,0,3200},{0,25,1258},{0,25,1258},{0,13,1940},{30,0,3200},{0,13,1940},{55,0,9248},{6,63,1885},{3,53,2},{0,47,2792},{55,0,9248},{62,24,9248},{0,47,2792},
{0,36,9256},{62,24,9248},{0,36,9256},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{9,63,16258},{3,63,2813},{1,56,141},{0,49,2561},{4,63,25971},{0,50,14619},{0,45,6453},{0,32,17996},{0,36,27923},{0,30,19698},{12,63,14594},{3,63,2669},{2,56,122},{0,49,2561},{38,1,25472},{0,50,14619},{0,45,6453},{0,32,17996},{45,16,25472},
{0,32,17996},{0,63,9},{0,63,9},{0,63,9},{0,33,1},{0,33,3872},{0,25,1530},{0,25,1530},{0,16,2378},{0,14,4294},{0,14,2717},{0,63,9},{0,63,9},{0,63,9},{0,33,1},{16,1,3872},{0,25,1530},{0,25,1530},{0,16,2378},{33,0,3872},{0,16,2378},{58,0,9248},{9,63,2205},{5,55,2},{0,49,2561},{58,0,9248},{62,27,9248},{0,49,2561},{0,38,9256},{62,27,9248},{0,38,9256},{0,0,0},
{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{9,63,17750},{3,63,3617},{1,58,254},{0,50,2366},{6,63,27563},{0,53,14891},{0,47,6385},{0,32,18616},{0,39,29523},{0,32,20465},{15,63,15654},{6,63,3425},{2,59,206},{0,50,2366},{41,0,26744},{0,53,14891},{0,47,6385},{0,32,18616},{62,10,26744},{0,32,18616},{1,63,101},{1,63,101},{1,63,101},
{0,36,5},{0,36,4420},{0,28,1666},{0,28,1666},{0,16,2642},{0,16,4931},{0,16,3083},{2,63,72},{2,63,72},{2,63,72},{1,35,4},{15,7,4418},{0,28,1666},{0,28,1666},{0,16,2642},{31,3,4418},{0,16,2642},{61,0,9248},{13,63,2554},{7,57,2},{0,50,2362},{61,0,9248},{62,30,9248},{0,50,2362},{0,40,9256},{62,30,9248},{0,40,9256},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,2,0},
{0,2,0},{0,2,0},{0,1,0},{0,1,1},{0,1,1},{12,63,19046},{4,63,4598},{3,60,382},{0,52,2237},{6,63,28187},{0,59,14347},{0,50,5579},{0,35,18104},{0,39,29955},{0,33,20313},{17,63,16091},{7,63,4046},{4,61,206},{0,52,2237},{44,0,26744},{0,59,14347},{0,50,5579},{0,35,18104},{62,13,26744},{0,35,18104},{2,63,264},{2,63,264},{2,63,264},{1,38,52},{0,42,4420},{0,33,1381},{0,33,1381},
{0,18,2405},{0,19,5115},{0,18,2981},{4,63,117},{4,63,117},{4,63,117},{3,37,4},{15,13,4418},{0,33,1381},{0,33,1381},{0,18,2405},{31,6,4418},{0,18,2405},{63,2,9248},{17,63,2938},{9,59,2},{0,52,2137},{63,2,9248},{46,41,9248},{0,52,2137},{0,42,9256},{46,41,9248},{0,42,9256},{1,0,52},{1,0,52},{1,0,52},{1,0,52},{0,8,0},{0,8,0},{0,8,0},{0,4,0},{0,3,20},
{0,3,20},{12,63,20585},{6,63,5786},{4,63,625},{1,56,2246},{9,63,29012},{0,62,13736},{0,53,4760},{0,38,17595},{0,45,30452},{0,36,20086},{20,63,16620},{9,63,4794},{6,63,205},{1,56,2230},{39,16,26744},{0,62,13736},{0,53,4760},{0,38,17595},{62,16,26744},{0,38,17595},{4,63,589},{4,63,589},{4,63,589},{2,41,185},{0,49,4418},{0,36,1097},{0,36,1097},{0,21,2153},{0,22,5357},{0,21,2937},{6,63,169},
{6,63,169},{6,63,169},{5,39,2},{24,1,4418},{0,36,1097},{0,36,1097},{0,21,2153},{49,0,4418},{0,21,2153},{59,16,9248},{20,63,3380},{11,62,4},{0,55,1901},{59,16,9248},{62,36,9248},{0,55,1901},{0,45,9250},{62,36,9248},{0,45,9250},{2,0,185},{2,0,185},{2,0,185},{2,0,185},{0,14,1},{0,14,1},{0,14,1},{0,7,1},{0,5,72},{0,5,72},{15,63,21605},{9,63,6850},{5,63,978},
{2,57,2226},{11,63,29435},{0,63,12990},{0,55,3962},{0,41,16835},{0,45,30392},{0,38,19516},{22,63,16694},{12,63,5218},{9,63,225},{4,56,2130},{49,1,26259},{0,63,12990},{0,55,3962},{0,41,16835},{46,27,26259},{0,41,16835},{5,63,978},{5,63,978},{5,63,978},{3,43,370},{0,55,4418},{0,39,881},{0,39,881},{0,24,1945},{0,25,5605},{0,22,2889},{9,63,225},{9,63,225},{9,63,225},{7,41,2},{27,1,4418},
{0,39,881},{0,39,881},{0,24,1945},{55,0,4418},{0,24,1945},{63,14,8978},{23,63,3592},{14,63,1},{0,58,1625},{63,14,8978},{46,47,8978},{0,58,1625},{0,46,8986},{46,47,8978},{0,46,8986},{3,0,369},{3,0,369},{3,0,369},{3,0,369},{0,20,0},{0,20,0},{0,20,0},{0,10,1},{0,8,136},{0,8,136},{15,63,21141},{9,63,7026},{6,63,1481},{3,58,2034},{12,63,28216},{0,63,11406},{0,56,2868},
{0,41,14915},{0,48,28876},{0,39,17854},{23,63,15352},{15,63,4866},{11,63,306},{6,58,1746},{52,0,24371},{0,63,11406},{0,56,2868},{0,41,14915},{62,21,24371},{0,41,14915},{6,63,1481},{6,63,1481},{6,63,1481},{4,46,617},{0,61,4418},{0,45,689},{0,45,689},{0,27,1769},{0,28,5885},{0,24,2889},{11,63,306},{11,63,306},{11,63,306},{9,43,2},{30,1,4418},{0,45,689},{0,45,689},{0,27,1769},{61,0,4418},
{0,27,1769},{55,32,7938},{26,63,3176},{16,63,1},{0,58,1129},{55,32,7938},{46,48,7938},{0,58,1129},{0,47,7946},{46,48,7938},{0,47,7946},{4,0,617},{4,0,617},{4,0,617},{4,0,617},{0,26,0},{0,26,0},{0,26,0},{0,13,1},{0,11,232},{0,11,232},{17,63,20849},{9,63,7458},{8,63,2106},{4,59,1970},{12,63,27224},{0,63,10078},{0,58,1986},{0,42,13214},{0,50,27357},{0,41,16276},{26,63,14168},
{17,63,4556},{14,63,394},{9,58,1410},{47,14,22568},{0,63,10078},{0,58,1986},{0,42,13214},{62,23,22568},{0,42,13214},{8,63,2106},{8,63,2106},{8,63,2106},{5,48,930},{1,63,4452},{0,47,521},{0,47,521},{0,28,1600},{0,31,6197},{0,27,2921},{14,63,394},{14,63,394},{14,63,394},{11,45,2},{33,1,4418},{0,47,521},{0,47,521},{0,28,1600},{63,2,4418},{0,28,1600},{56,33,6962},{29,63,2792},{19,63,1},
{0,59,740},{56,33,6962},{49,48,6962},{0,59,740},{0,48,6964},{49,48,6962},{0,48,6964},{5,0,929},{5,0,929},{5,0,929},{5,0,929},{0,32,0},{0,32,0},{0,32,0},{0,16,0},{0,14,360},{0,14,360},{17,63,20651},{12,63,7922},{9,63,2921},{5,60,2052},{15,63,26270},{0,63,8890},{0,59,1154},{0,44,11309},{0,53,25875},{0,42,14658},{26,63,12890},{20,63,4254},{16,63,493},{10,59,1076},{56,0,20642},
{0,63,8890},{0,59,1154},{0,44,11309},{62,25,20642},{0,44,11309},{9,63,2921},{9,63,2921},{9,63,2921},{6,51,1360},{3,63,4634},{0,50,346},{0,50,346},{0,31,1402},{0,33,6554},{0,28,2987},{16,63,493},{16,63,493},{16,63,493},{13,48,1},{31,12,4418},{0,50,346},{0,50,346},{0,31,1402},{62,6,4418},{0,31,1402},{63,23,5941},{30,63,2386},{23,63,1},{0,61,388},{63,23,5941},{63,43,5941},{0,61,388},
{0,49,5945},{63,43,5941},{0,49,5945},{6,0,1360},{6,0,1360},{6,0,1360},{6,0,1360},{0,39,0},{0,39,0},{0,39,0},{0,19,1},{0,16,522},{0,16,522},{20,63,20683},{12,63,8578},{11,63,3792},{7,60,2241},{15,63,25566},{1,63,8090},{0,59,642},{0,45,9834},{0,53,24595},{0,44,13350},{29,63,11794},{20,63,4030},{17,63,610},{13,59,804},{58,0,19021},{3,63,8050},{0,59,642},{0,45,9834},{62,27,19021},
{0,45,9834},{11,63,3792},{11,63,3792},{11,63,3792},{8,53,1808},{3,63,4954},{0,55,232},{0,55,232},{0,33,1241},{0,36,6922},{0,31,3051},{17,63,610},{17,63,610},{17,63,610},{15,50,1},{31,18,4418},{0,55,232},{0,55,232},{0,33,1241},{62,9,4418},{0,33,1241},{63,26,5101},{34,63,2050},{26,63,1},{0,61,164},{63,26,5101},{62,45,5101},{0,61,164},{0,50,5105},{62,45,5101},{0,50,5105},{7,0,1808},
{7,0,1808},{7,0,1808},{7,0,1808},{0,45,0},{0,45,0},{0,45,0},{0,22,1},{0,19,706},{0,19,706},{20,63,20715},{15,63,9258},{12,63,4729},{8,61,2553},{17,63,25067},{3,63,7474},{0,61,264},{0,47,8373},{0,56,23451},{0,45,12138},{31,63,10854},{23,63,3766},{20,63,698},{16,60,594},{60,0,17485},{6,63,7274},{0,61,264},{0,47,8373},{56,32,17485},{0,47,8373},{12,63,4729},{12,63,4729},{12,63,4729},
{8,56,2320},{6,63,5386},{0,59,130},{0,59,130},{0,35,1076},{0,39,7322},{0,33,3161},{20,63,698},{20,63,698},{20,63,698},{17,51,2},{34,17,4418},{0,59,130},{0,59,130},{0,35,1076},{62,12,4418},{0,35,1076},{63,29,4325},{35,63,1733},{29,63,1},{0,62,41},{63,29,4325},{63,46,4325},{0,62,41},{0,51,4329},{63,46,4325},{0,51,4329},{8,0,2320},{8,0,2320},{8,0,2320},{8,0,2320},{0,50,1},
{0,50,1},{0,50,1},{0,25,1},{0,19,914},{0,19,914},{20,63,21003},{15,63,10106},{14,63,5840},{9,62,2993},{17,63,24683},{3,63,7010},{0,62,74},{0,49,7113},{0,56,22427},{0,47,11094},{33,63,9941},{26,63,3566},{23,63,818},{17,61,402},{62,0,16034},{9,63,6562},{0,62,74},{0,49,7113},{62,31,16034},{0,49,7113},{14,63,5840},{14,63,5840},{14,63,5840},{10,58,2896},{6,63,5962},{0,62,58},{0,62,58},
{0,38,932},{0,42,7754},{0,35,3317},{23,63,818},{23,63,818},{23,63,818},{19,53,2},{37,17,4418},{0,62,58},{0,62,58},{0,38,932},{62,15,4418},{0,38,932},{63,32,3613},{38,63,1445},{32,63,1},{0,63,0},{63,32,3613},{61,48,3613},{0,63,0},{0,52,3617},{61,48,3613},{0,52,3617},{9,0,2896},{9,0,2896},{9,0,2896},{9,0,2896},{0,56,1},{0,56,1},{0,56,1},{0,28,1},{0,22,1130},
{0,22,1130},{23,63,21401},{17,63,11165},{15,63,7141},{10,63,3641},{20,63,24533},{6,63,6762},{0,63,81},{0,49,5745},{0,59,21333},{0,47,9996},{34,63,8897},{29,63,3396},{26,63,976},{20,61,224},{56,16,14504},{12,63,5834},{1,63,68},{0,49,5745},{62,33,14504},{0,49,5745},{15,63,7141},{15,63,7141},{15,63,7141},{11,61,3617},{9,63,6772},{0,63,81},{0,63,81},{0,41,794},{0,45,8260},{0,38,3515},{26,63,976},
{26,63,976},{26,63,976},{21,56,0},{49,0,4418},{1,63,68},{1,63,68},{0,41,794},{62,18,4418},{0,41,794},{63,35,2888},{41,63,1156},{35,63,0},{7,63,0},{63,35,2888},{63,49,2888},{7,63,0},{0,53,2896},{63,49,2888},{0,53,2896},{11,0,3617},{11,0,3617},{11,0,3617},{11,0,3617},{0,63,0},{0,63,0},{0,63,0},{0,32,1},{0,25,1413},{0,25,1413},{23,63,21913},{17,63,12317},{17,63,8473},
{12,63,4330},{20,63,24437},{6,63,6650},{2,63,298},{0,52,4721},{0,62,20509},{0,49,9157},{37,63,8153},{29,63,3268},{28,63,1129},{23,61,128},{63,6,13235},{15,63,5258},{6,63,145},{0,52,4721},{62,35,13235},{0,52,4721},{17,63,8473},{17,63,8473},{17,63,8473},{12,63,4330},{9,63,7636},{2,63,298},{2,63,298},{0,42,689},{0,45,8740},{0,39,3689},{28,63,1129},{28,63,1129},{28,63,1129},{23,58,0},{52,0,4418},
{6,63,145},{6,63,145},{0,42,689},{62,21,4418},{0,42,689},{63,38,2312},{43,63,925},{38,63,0},{13,63,0},{63,38,2312},{62,51,2312},{13,63,0},{0,54,2320},{62,51,2312},{0,54,2320},{12,0,4329},{12,0,4329},{12,0,4329},{12,0,4329},{1,63,52},{1,63,52},{1,63,52},{0,34,1},{0,28,1693},{0,28,1693},{26,63,22641},{20,63,13461},{17,63,9881},{13,63,5169},{20,63,24597},{6,63,6794},{3,63,649},
{0,52,3713},{0,62,19773},{0,50,8413},{37,63,7401},{32,63,3181},{29,63,1280},{24,62,48},{63,11,12051},{18,63,4746},{9,63,233},{0,52,3713},{47,45,12051},{0,52,3713},{17,63,9881},{17,63,9881},{17,63,9881},{13,63,5169},{12,63,8644},{3,63,649},{3,63,649},{0,45,569},{0,50,9245},{0,42,3905},{29,63,1280},{29,63,1280},{29,63,1280},{25,60,0},{55,0,4418},{9,63,233},{9,63,233},{0,45,569},{62,24,4418},
{0,45,569},{63,41,1800},{46,63,725},{41,63,0},{19,63,0},{63,41,1800},{63,52,1800},{19,63,0},{0,55,1808},{63,52,1800},{0,55,1808},{13,0,5105},{13,0,5105},{13,0,5105},{13,0,5105},{2,63,185},{2,63,185},{2,63,185},{0,37,1},{0,31,2005},{0,31,2005},{26,63,23345},{20,63,14805},{20,63,11441},{14,63,6170},{23,63,24893},{9,63,7066},{4,63,1236},{0,53,2900},{0,63,19260},{0,52,7861},{40,63,6753},
{34,63,3038},{32,63,1465},{27,63,9},{62,16,10952},{21,63,4298},{12,63,353},{0,53,2900},{62,39,10952},{0,53,2900},{20,63,11441},{20,63,11441},{20,63,11441},{14,63,6170},{12,63,9764},{4,63,1236},{4,63,1236},{0,47,458},{0,50,9789},{0,45,4185},{32,63,1465},{32,63,1465},{32,63,1465},{27,62,0},{58,0,4418},{12,63,353},{12,63,353},{0,47,458},{62,27,4418},{0,47,458},{63,44,1352},{48,63,544},{44,63,0},
{25,63,0},{63,44,1352},{62,54,1352},{25,63,0},{0,56,1360},{62,54,1352},{0,56,1360},{14,0,5945},{14,0,5945},{14,0,5945},{14,0,5945},{3,63,400},{3,63,400},{3,63,400},{0,40,1},{0,33,2336},{0,33,2336},{26,63,24443},{23,63,16415},{20,63,13259},{15,63,7448},{23,63,25379},{9,63,7606},{6,63,2021},{0,55,2045},{0,63,18918},{0,53,7275},{40,63,6141},{37,63,2978},{34,63,1625},{29,63,10},{63,19,9818},
{24,63,3870},{17,63,530},{0,55,2045},{63,41,9818},{0,55,2045},{20,63,13259},{20,63,13259},{20,63,13259},{15,63,7448},{15,63,11218},{6,63,2021},{6,63,2021},{0,49,365},{0,53,10427},{0,45,4509},{34,63,1625},{34,63,1625},{34,63,1625},{29,63,10},{53,16,4418},{17,63,530},{17,63,530},{0,49,365},{63,30,4418},{0,49,365},{63,47,925},{51,63,377},{47,63,1},{31,63,1},{63,47,925},{63,55,925},{31,63,1},
{0,58,929},{63,55,925},{0,58,929},{15,0,6964},{15,0,6964},{15,0,6964},{15,0,6964},{3,63,769},{3,63,769},{3,63,769},{0,44,0},{0,36,2745},{0,36,2745},{29,63,25483},{23,63,17983},{22,63,15066},{17,63,8739},{23,63,26083},{12,63,8302},{6,63,2965},{0,56,1458},{0,63,18886},{0,53,6955},{43,63,5581},{40,63,2986},{37,63,1801},{32,63,65},{58,32,8901},{27,63,3558},{20,63,698},{0,56,1458},{52,48,8901},
{0,56,1458},{22,63,15066},{22,63,15066},{22,63,15066},{17,63,8739},{15,63,12626},{6,63,2965},{6,63,2965},{0,52,277},{0,56,11011},{0,49,4833},{37,63,1801},{37,63,1801},{37,63,1801},{32,63,65},{56,16,4418},{20,63,698},{20,63,698},{0,52,277},{62,33,4418},{0,52,277},{63,50,613},{52,63,250},{50,63,0},{37,63,0},{63,50,613},{62,57,613},{37,63,0},{0,59,617},{62,57,613},{0,59,617},{16,0,7946},
{16,0,7946},{16,0,7946},{16,0,7946},{5,63,1184},{5,63,1184},{5,63,1184},{0,47,0},{0,36,3145},{0,36,3145},{29,63,26667},{26,63,19695},{23,63,16891},{18,63,10206},{26,63,26795},{12,63,9118},{9,63,4037},{0,58,933},{0,63,19110},{0,56,6699},{46,63,5181},{40,63,2970},{40,63,2009},{34,63,160},{63,27,8069},{30,63,3310},{23,63,898},{0,58,933},{63,45,8069},{0,58,933},{23,63,16891},{23,63,16891},{23,63,16891},
{18,63,10206},{17,63,14179},{9,63,4037},{9,63,4037},{0,55,221},{0,59,11627},{0,50,5115},{40,63,2009},{40,63,2009},{40,63,2009},{34,63,160},{59,16,4418},{23,63,898},{23,63,898},{0,55,221},{62,36,4418},{0,55,221},{63,53,365},{55,63,146},{53,63,0},{43,63,0},{63,53,365},{63,58,365},{43,63,0},{0,60,369},{63,58,365},{0,60,369},{16,0,8986},{16,0,8986},{16,0,8986},{16,0,8986},{6,63,1665},
{6,63,1665},{6,63,1665},{0,50,1},{0,39,3545},{0,39,3545},{31,63,26643},{26,63,20231},{26,63,17731},{20,63,10867},{26,63,26531},{15,63,9546},{12,63,4889},{0,59,590},{0,63,18606},{0,56,5707},{46,63,4781},{43,63,2978},{42,63,2228},{37,63,320},{63,31,7322},{32,63,3134},{27,63,1125},{0,59,554},{63,47,7322},{0,59,554},{26,63,17731},{26,63,17731},{26,63,17731},{20,63,10867},{20,63,15043},{12,63,4889},{12,63,4889},
{1,56,185},{0,62,11315},{0,53,4667},{42,63,2228},{42,63,2228},{42,63,2228},{37,63,320},{62,16,4418},{27,63,1125},{27,63,1125},{0,56,162},{62,39,4418},{0,56,162},{63,56,181},{57,63,73},{56,63,0},{49,63,0},{63,56,181},{62,60,181},{49,63,0},{0,61,185},{62,60,181},{0,61,185},{18,0,9250},{18,0,9250},{18,0,9250},{18,0,9250},{8,63,1972},{8,63,1972},{8,63,1972},{1,52,4},{0,42,3341},
{0,42,3341},{34,63,26006},{29,63,20400},{28,63,18273},{23,63,11384},{29,63,25736},{17,63,9864},{12,63,5726},{2,60,366},{0,63,18111},{0,59,4452},{48,63,4436},{46,63,3050},{43,63,2465},{40,63,562},{63,35,6584},{37,63,3006},{30,63,1421},{0,61,237},{63,49,6584},{0,61,237},{28,63,18273},{28,63,18273},{28,63,18273},{23,63,11384},{23,63,15704},{12,63,5726},{12,63,5726},{3,59,189},{0,63,10886},{0,56,3924},{43,63,2465},
{43,63,2465},{43,63,2465},{40,63,562},{63,21,4418},{30,63,1421},{30,63,1421},{0,59,100},{63,42,4418},{0,59,100},{63,59,52},{60,63,20},{59,63,1},{56,63,0},{63,59,52},{63,61,52},{56,63,0},{0,62,52},{63,61,52},{0,62,52},{20,0,9256},{20,0,9256},{20,0,9256},{20,0,9256},{9,63,2205},{9,63,2205},{9,63,2205},{4,54,1},{0,45,2925},{0,45,2925},{34,63,25526},{31,63,20721},{29,63,18700},
{24,63,11921},{31,63,25279},{20,63,10264},{15,63,6494},{4,62,238},{4,63,17924},{0,59,3588},{51,63,4228},{48,63,3140},{46,63,2665},{41,63,833},{63,39,6019},{40,63,2958},{34,63,1693},{0,62,84},{47,59,6019},{0,62,84},{29,63,18700},{29,63,18700},{29,63,18700},{24,63,11921},{23,63,16280},{15,63,6494},{15,63,6494},{5,61,189},{0,63,10854},{0,59,3332},{46,63,2665},{46,63,2665},{46,63,2665},{41,63,833},{63,27,4418},
{34,63,1693},{34,63,1693},{0,61,61},{63,45,4418},{0,61,61},{63,62,4},{63,63,4},{62,63,1},{62,63,0},{63,62,4},{62,63,4},{62,63,0},{0,63,4},{62,63,4},{0,63,4},{22,0,9256},{22,0,9256},{22,0,9256},{22,0,9256},{12,63,2389},{12,63,2389},{12,63,2389},{6,56,1},{0,50,2512},{0,50,2512},{37,63,24250},{34,63,19895},{31,63,18169},{26,63,11820},{34,63,23717},{20,63,10012},{17,63,6584},
{7,62,122},{6,63,16879},{0,62,2736},{51,63,3648},{48,63,2784},{48,63,2384},{43,63,778},{63,42,5163},{41,63,2584},{37,63,1549},{0,63,9},{46,61,5163},{0,63,9},{31,63,18169},{31,63,18169},{31,63,18169},{26,63,11820},{26,63,15620},{17,63,6584},{17,63,6584},{7,62,106},{0,63,10150},{0,59,2624},{48,63,2384},{48,63,2384},{48,63,2384},{43,63,778},{63,31,3872},{37,63,1549},{37,63,1549},{0,63,9},{63,47,3872},
{0,63,9},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{24,0,9256},{24,0,9256},{24,0,9256},{24,0,9256},{15,63,2605},{15,63,2605},{15,63,2605},{8,58,1},{0,53,2176},{0,53,2176},{37,63,22746},{34,63,18775},{34,63,17254},{29,63,11564},{34,63,21973},{23,63,9532},{20,63,6424},{9,62,57},{9,63,15607},{0,62,2032},{53,63,3058},
{51,63,2304},{48,63,2000},{46,63,650},{63,43,4267},{43,63,2134},{40,63,1285},{4,63,0},{63,53,4267},{4,63,0},{34,63,17254},{34,63,17254},{34,63,17254},{29,63,11564},{29,63,14692},{20,63,6424},{20,63,6424},{9,62,41},{0,63,9366},{0,62,2016},{48,63,2000},{48,63,2000},{48,63,2000},{46,63,650},{55,49,3200},{40,63,1285},{40,63,1285},{4,63,0},{63,48,3200},{4,63,0},{63,63,0},{63,63,0},{63,63,0},
{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{26,0,9256},{26,0,9256},{26,0,9256},{26,0,9256},{17,63,2836},{17,63,2836},{17,63,2836},{10,60,1},{0,59,1856},{0,59,1856},{40,63,21168},{37,63,17685},{34,63,16300},{30,63,11323},{37,63,20205},{26,63,9090},{23,63,6310},{12,63,4},{12,63,14287},{0,62,1546},{54,63,2377},{51,63,1809},{51,63,1553},{47,63,520},{61,49,3361},
{46,63,1683},{43,63,1018},{11,63,0},{63,54,3361},{11,63,0},{34,63,16300},{34,63,16300},{34,63,16300},{30,63,11323},{29,63,13666},{23,63,6310},{23,63,6310},{12,63,4},{3,63,8686},{0,62,1530},{51,63,1553},{51,63,1553},{51,63,1553},{47,63,520},{63,37,2521},{43,63,1018},{43,63,1018},{11,63,0},{62,50,2521},{11,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},
{0,63,0},{63,63,0},{0,63,0},{29,0,9250},{29,0,9250},{29,0,9250},{29,0,9250},{20,63,3114},{20,63,3114},{20,63,3114},{12,62,1},{0,62,1514},{0,62,1514},{40,63,19824},{37,63,16725},{37,63,15500},{32,63,11084},{37,63,18685},{26,63,8770},{26,63,6270},{14,63,16},{15,63,13215},{0,63,1325},{54,63,1881},{54,63,1449},{51,63,1249},{48,63,409},{63,47,2649},{47,63,1329},{44,63,797},{16,63,1},{63,55,2649},
{16,63,1},{37,63,15500},{37,63,15500},{37,63,15500},{32,63,11084},{31,63,12906},{26,63,6270},{26,63,6270},{14,63,16},{6,63,8150},{0,63,1325},{51,63,1249},{51,63,1249},{51,63,1249},{48,63,409},{63,40,1985},{44,63,797},{44,63,797},{16,63,1},{63,51,1985},{16,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{31,0,9250},
{31,0,9250},{31,0,9250},{31,0,9250},{22,63,3393},{22,63,3393},{22,63,3393},{14,63,16},{0,63,1325},{0,63,1325},{43,63,18608},{40,63,15853},{37,63,14796},{34,63,10841},{40,63,17341},{29,63,8410},{26,63,6206},{17,63,74},{17,63,12226},{0,63,1341},{56,63,1451},{54,63,1081},{54,63,937},{51,63,305},{63,50,2017},{49,63,1011},{47,63,605},{22,63,1},{62,57,2017},{22,63,1},{37,63,14796},{37,63,14796},{37,63,14796},
{34,63,10841},{34,63,12089},{26,63,6206},{26,63,6206},{17,63,74},{9,63,7678},{0,63,1341},{54,63,937},{54,63,937},{54,63,937},{51,63,305},{63,43,1513},{47,63,605},{47,63,605},{22,63,1},{62,53,1513},{22,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{32,0,9256},{32,0,9256},{32,0,9256},{32,0,9256},{23,63,3650},
{23,63,3650},{23,63,3650},{17,63,74},{0,63,1341},{0,63,1341},{43,63,17392},{40,63,15021},{40,63,14060},{37,63,10673},{40,63,16013},{32,63,8261},{29,63,6166},{19,63,194},{20,63,11338},{1,63,1594},{57,63,1041},{56,63,822},{54,63,697},{52,63,234},{63,51,1473},{51,63,737},{49,63,442},{28,63,1},{63,57,1473},{28,63,1},{40,63,14060},{40,63,14060},{40,63,14060},{37,63,10673},{34,63,11401},{29,63,6166},{29,63,6166},
{19,63,194},{12,63,7270},{1,63,1594},{54,63,697},{54,63,697},{54,63,697},{52,63,234},{63,46,1105},{49,63,442},{49,63,442},{28,63,1},{63,54,1105},{28,63,1},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{63,63,0},{0,63,0},{63,63,0},{0,63,0},{34,0,9256},{34,0,9256},{34,0,9256},{34,0,9256},{26,63,3898},{26,63,3898},{26,63,3898},{19,63,194},{1,63,1594},
{1,63,1594},
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_transcoder_tables_astc.inc | {0,2,18},{0,32,2},{0,16,10},{0,16,10},{0,32,35},{0,16,27},{0,16,11},{0,16,27},{0,16,36},{0,16,28},{0,2,18},{0,32,2},{0,16,10},{0,16,10},{16,0,35},{0,16,27},{0,16,11},{0,16,27},{32,0,35},{0,16,27},{0,16,1},{0,16,1},{0,16,1},{0,16,1},{0,16,2},{0,16,2},{0,16,2},{0,0,4},{0,0,4},{0,0,4},{0,16,1},
{0,16,1},{0,16,1},{0,16,1},{0,16,2},{0,16,2},{0,16,2},{0,0,4},{16,0,2},{0,0,4},{0,2,18},{0,32,2},{0,16,10},{0,16,10},{0,2,18},{2,0,18},{0,16,10},{0,16,18},{2,0,18},{0,16,18},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{16,4,44},{16,18,27},{16,2,30},
{16,2,30},{0,4,52},{0,18,20},{0,2,1},{0,32,27},{0,2,77},{0,32,36},{16,4,19},{16,18,2},{16,2,5},{16,2,5},{32,32,51},{0,18,20},{0,2,1},{0,32,27},{32,32,51},{0,32,27},{16,18,26},{16,18,26},{16,18,26},{16,32,27},{0,34,8},{0,2,1},{0,2,1},{0,32,2},{0,32,19},{0,32,11},{16,18,1},{16,18,1},{16,18,1},{16,32,2},{16,2,8},
{0,2,1},{0,2,1},{0,32,2},{34,0,8},{0,32,2},{16,4,18},{16,18,1},{16,2,4},{0,2,0},{16,4,18},{4,16,18},{0,2,0},{0,32,26},{4,16,18},{0,32,26},{16,0,26},{16,0,26},{16,0,26},{16,0,26},{0,18,0},{0,18,0},{0,18,0},{0,32,1},{0,16,10},{0,16,10},{32,36,36},{32,4,20},{32,34,31},{32,18,28},{16,6,60},{32,34,31},{32,18,19},
{16,18,28},{0,34,52},{0,18,22},{2,4,22},{2,34,6},{2,18,14},{2,18,14},{18,2,51},{32,34,22},{32,18,10},{0,18,18},{38,0,51},{0,18,18},{32,4,19},{32,4,19},{32,4,19},{32,18,19},{32,34,17},{32,18,10},{32,18,10},{32,2,13},{16,18,14},{16,2,8},{2,18,5},{2,18,5},{2,18,5},{2,18,5},{2,2,8},{32,18,1},{32,18,1},{32,2,4},{2,2,8},
{32,2,4},{4,0,18},{32,4,2},{2,18,10},{0,34,9},{4,0,18},{8,0,18},{0,34,9},{0,18,18},{8,0,18},{0,18,18},{32,0,18},{32,0,18},{32,0,18},{32,0,18},{32,18,9},{32,18,9},{32,18,9},{32,2,9},{16,2,4},{16,2,4},{18,6,44},{18,20,26},{18,4,30},{18,4,30},{2,6,52},{2,20,21},{2,4,1},{2,34,27},{16,20,52},{32,34,27},{18,6,19},
{18,20,1},{18,4,5},{18,4,5},{20,16,51},{2,20,21},{2,4,1},{2,34,27},{16,20,51},{2,34,27},{18,20,26},{18,20,26},{18,20,26},{18,34,27},{2,36,8},{2,4,1},{2,4,1},{2,34,2},{32,4,11},{32,34,2},{18,20,1},{18,20,1},{18,20,1},{18,34,2},{18,4,8},{2,4,1},{2,4,1},{2,34,2},{36,2,8},{2,34,2},{36,0,18},{18,20,0},{18,4,4},
{2,4,0},{36,0,18},{6,18,18},{2,4,0},{0,34,26},{6,18,18},{0,34,26},{18,0,26},{18,0,26},{18,0,26},{18,0,26},{2,4,1},{2,4,1},{2,4,1},{2,34,1},{32,34,1},{32,34,1},{34,8,40},{34,6,21},{34,36,33},{34,36,28},{34,22,55},{34,36,25},{34,36,13},{34,20,31},{32,6,55},{18,20,20},{4,6,21},{4,36,5},{4,36,5},{4,20,11},{22,0,51},
{34,36,21},{34,36,9},{2,20,19},{32,6,51},{2,20,19},{34,6,21},{34,6,21},{34,6,21},{34,20,21},{34,6,14},{34,20,6},{34,20,6},{34,4,14},{18,20,11},{18,20,11},{4,36,1},{4,36,1},{4,36,1},{4,20,2},{2,24,8},{34,20,2},{34,20,2},{4,4,10},{28,0,8},{4,4,10},{22,16,18},{34,6,1},{4,36,4},{18,36,4},{22,16,18},{44,16,18},{18,36,4},
{0,20,18},{44,16,18},{0,20,18},{34,0,20},{34,0,20},{34,0,20},{34,0,20},{34,20,5},{34,20,5},{34,20,5},{34,4,5},{18,20,2},{18,20,2},{20,8,46},{20,22,27},{20,6,31},{20,6,28},{4,24,52},{4,22,19},{4,6,7},{4,6,36},{18,22,56},{34,6,31},{20,8,21},{20,22,2},{20,6,6},{20,6,3},{36,6,51},{4,22,18},{4,6,6},{18,6,26},{31,0,51},
{18,6,26},{20,22,26},{20,22,26},{20,22,26},{20,6,27},{4,38,9},{4,6,6},{4,6,6},{4,36,1},{34,6,9},{4,36,4},{20,22,1},{20,22,1},{20,22,1},{20,6,2},{22,2,8},{20,36,4},{20,36,4},{4,36,0},{42,2,8},{4,36,0},{22,4,18},{20,22,1},{36,6,2},{4,6,2},{22,4,18},{15,0,18},{4,6,2},{0,6,26},{15,0,18},{0,6,26},{20,0,26},
{20,0,26},{20,0,26},{20,0,26},{4,22,1},{4,22,1},{4,22,1},{4,36,1},{4,36,4},{4,36,4},{36,40,38},{36,8,22},{36,38,33},{36,38,28},{36,24,55},{36,38,25},{36,38,13},{20,22,28},{34,8,55},{4,22,23},{6,8,21},{6,38,5},{6,38,5},{6,22,11},{24,2,51},{36,38,21},{20,38,9},{4,22,19},{13,0,51},{4,22,19},{36,8,21},{36,8,21},{36,8,21},
{36,22,21},{36,8,14},{36,22,6},{36,22,6},{36,6,14},{4,38,10},{4,22,14},{6,38,1},{6,38,1},{6,38,1},{6,22,2},{8,2,8},{36,22,2},{36,22,2},{6,6,10},{30,2,8},{6,6,10},{10,0,18},{36,8,2},{6,38,4},{4,38,5},{10,0,18},{4,8,18},{4,38,5},{0,22,18},{4,8,18},{0,22,18},{36,0,20},{36,0,20},{36,0,20},{36,0,20},{36,22,5},
{36,22,5},{36,22,5},{36,6,5},{4,22,5},{4,22,5},{22,10,46},{22,24,26},{22,8,30},{22,8,30},{6,26,52},{6,24,21},{6,8,5},{6,38,37},{20,24,53},{6,38,40},{22,10,21},{22,24,1},{22,8,5},{22,8,5},{16,11,51},{6,24,20},{6,8,4},{6,38,36},{25,0,51},{6,38,36},{22,24,26},{22,24,26},{22,24,26},{22,8,30},{6,40,9},{6,8,5},{6,8,5},
{6,38,1},{36,8,11},{6,38,4},{22,24,1},{22,24,1},{22,24,1},{22,8,5},{24,4,8},{6,8,4},{6,8,4},{6,38,0},{11,0,8},{6,38,0},{42,0,18},{22,24,0},{22,8,4},{6,8,0},{42,0,18},{9,0,18},{6,8,0},{0,8,36},{9,0,18},{0,8,36},{22,0,26},{22,0,26},{22,0,26},{22,0,26},{6,24,1},{6,24,1},{6,24,1},{6,38,1},{6,38,4},
{6,38,4},{38,12,44},{38,10,30},{38,40,46},{38,40,34},{38,26,53},{38,40,21},{38,40,9},{38,24,25},{6,10,57},{22,24,22},{8,10,21},{8,40,5},{8,40,5},{8,24,17},{28,0,51},{38,40,20},{38,40,8},{6,24,21},{37,0,51},{6,24,21},{38,26,26},{38,26,26},{38,26,26},{38,24,30},{38,10,9},{38,40,5},{38,40,5},{38,24,9},{22,24,11},{22,24,6},{8,40,1},
{8,40,1},{8,40,1},{8,24,1},{38,10,8},{8,24,4},{8,24,4},{6,24,5},{23,0,8},{6,24,5},{16,7,18},{38,10,4},{8,40,4},{6,40,5},{16,7,18},{21,0,18},{6,40,5},{0,24,20},{21,0,18},{0,24,20},{38,0,26},{38,0,26},{38,0,26},{38,0,26},{38,40,1},{38,40,1},{38,40,1},{38,8,2},{22,24,2},{22,24,2},{24,12,38},{24,26,22},{24,10,30},
{24,10,22},{8,28,52},{8,26,19},{8,10,6},{8,40,37},{38,26,55},{38,10,30},{24,12,22},{24,26,6},{24,10,14},{24,10,6},{42,6,51},{8,26,18},{24,10,3},{22,10,26},{19,0,51},{22,10,26},{24,26,21},{24,26,21},{24,26,21},{24,10,21},{8,42,9},{8,10,5},{8,10,5},{8,40,1},{38,10,8},{8,40,4},{24,26,5},{24,26,5},{24,26,5},{24,10,5},{28,2,8},
{24,10,2},{24,10,2},{8,40,0},{42,8,8},{8,40,0},{26,8,18},{24,26,2},{40,10,2},{8,10,1},{26,8,18},{15,6,18},{8,10,1},{0,10,26},{15,6,18},{0,10,26},{24,0,20},{24,0,20},{24,0,20},{24,0,20},{8,26,1},{8,26,1},{8,26,1},{8,40,1},{38,10,4},{38,10,4},{40,14,40},{40,12,21},{40,42,33},{40,42,33},{40,28,55},{40,42,23},{40,42,18},
{40,26,33},{8,12,57},{24,26,22},{10,12,21},{10,42,5},{10,42,5},{10,26,17},{30,2,51},{40,42,19},{24,42,14},{8,26,21},{35,2,51},{8,26,21},{40,12,21},{40,12,21},{40,12,21},{40,26,21},{40,12,14},{40,26,6},{40,26,6},{40,10,14},{8,42,10},{24,26,6},{10,42,1},{10,42,1},{10,42,1},{10,26,1},{16,3,8},{40,26,2},{40,26,2},{8,26,5},{17,0,8},
{8,26,5},{16,1,18},{40,12,1},{10,42,4},{8,42,5},{16,1,18},{19,2,18},{8,42,5},{0,26,20},{19,2,18},{0,26,20},{40,0,20},{40,0,20},{40,0,20},{40,0,20},{40,26,5},{40,26,5},{40,26,5},{40,10,5},{24,26,2},{24,26,2},{26,14,38},{26,28,22},{26,12,30},{26,12,22},{10,30,52},{10,28,21},{10,12,6},{10,42,37},{24,28,53},{40,12,31},{26,14,22},
{26,28,6},{26,12,14},{26,12,6},{47,2,51},{10,28,20},{26,12,3},{24,12,26},{17,2,51},{24,12,26},{26,28,21},{26,28,21},{26,28,21},{26,12,21},{10,44,9},{10,12,5},{10,12,5},{10,42,1},{40,12,9},{40,42,2},{26,28,5},{26,28,5},{26,28,5},{26,12,5},{30,4,8},{26,12,2},{26,12,2},{10,42,0},{15,8,8},{10,42,0},{15,0,18},{26,28,2},{42,12,5},
{10,12,1},{15,0,18},{5,4,18},{10,12,1},{0,12,26},{5,4,18},{0,12,26},{26,0,20},{26,0,20},{26,0,20},{26,0,20},{10,28,1},{10,28,1},{10,28,1},{10,42,1},{40,42,2},{40,42,2},{42,47,46},{42,14,31},{12,44,37},{42,44,31},{42,46,52},{42,44,21},{42,44,6},{42,28,25},{10,14,51},{26,28,20},{12,30,18},{12,14,2},{12,44,1},{12,44,10},{29,0,51},
{42,44,20},{42,44,5},{26,28,20},{37,6,51},{26,28,20},{42,30,26},{42,30,26},{42,30,26},{42,28,30},{42,14,9},{42,44,5},{42,44,5},{42,28,9},{10,44,9},{26,28,4},{12,44,0},{12,44,0},{12,44,0},{12,28,0},{45,0,8},{12,28,4},{12,28,4},{26,28,4},{27,8,8},{26,28,4},{45,2,18},{12,14,2},{12,44,1},{26,44,1},{45,2,18},{25,8,18},{26,44,1},
{0,28,20},{25,8,18},{0,28,20},{42,0,26},{42,0,26},{42,0,26},{42,0,26},{42,44,1},{42,44,1},{42,44,1},{42,12,5},{26,28,0},{26,28,0},{28,47,38},{28,30,22},{28,14,33},{28,14,25},{12,31,55},{12,30,23},{12,14,18},{12,14,33},{42,30,55},{42,14,21},{28,47,22},{28,30,6},{44,14,14},{28,14,9},{46,10,51},{12,30,19},{28,14,6},{26,14,21},{23,8,51},
{26,14,21},{28,30,21},{28,30,21},{28,30,21},{28,14,21},{12,46,14},{12,14,14},{12,14,14},{12,44,6},{42,14,10},{12,44,6},{28,30,5},{28,30,5},{28,30,5},{28,14,5},{29,2,8},{28,14,2},{28,14,2},{12,44,2},{35,6,8},{12,44,2},{8,7,18},{28,30,2},{44,14,5},{12,14,5},{8,7,18},{33,6,18},{12,14,5},{0,14,20},{33,6,18},{0,14,20},{28,0,20},
{28,0,20},{28,0,20},{28,0,20},{12,30,5},{12,30,5},{12,30,5},{12,44,5},{42,14,1},{42,14,1},{44,15,46},{44,47,27},{14,46,37},{44,46,31},{44,31,53},{44,46,21},{44,46,6},{44,30,25},{42,47,55},{28,30,22},{14,31,20},{14,47,8},{14,46,1},{14,46,10},{38,3,51},{44,46,20},{44,46,5},{12,30,21},{35,8,51},{12,30,21},{44,31,26},{44,31,26},{44,31,26},
{44,30,30},{44,47,11},{44,46,5},{44,46,5},{44,30,9},{12,46,9},{28,30,6},{14,46,0},{14,46,0},{14,46,0},{14,30,0},{43,2,8},{14,30,4},{14,30,4},{12,30,5},{21,8,8},{12,30,5},{41,0,18},{44,47,1},{14,46,1},{28,46,1},{41,0,18},{19,8,18},{28,46,1},{0,30,20},{19,8,18},{0,30,20},{44,0,26},{44,0,26},{44,0,26},{44,0,26},{44,46,1},
{44,46,1},{44,46,1},{44,14,5},{28,30,2},{28,30,2},{30,45,38},{30,31,21},{30,47,24},{30,47,24},{14,29,55},{14,31,22},{14,47,8},{14,46,55},{28,31,53},{44,47,41},{30,45,22},{30,31,5},{30,47,8},{30,47,8},{41,2,51},{14,31,18},{14,47,4},{12,47,37},{17,8,51},{12,47,37},{30,31,20},{30,31,20},{30,31,20},{30,47,24},{14,15,14},{14,47,8},{14,47,8},
{14,46,6},{44,47,9},{14,46,6},{30,31,4},{30,31,4},{30,31,4},{30,47,8},{38,1,8},{14,47,4},{14,47,4},{14,46,2},{43,28,8},{14,46,2},{9,0,18},{30,31,1},{46,47,1},{14,47,0},{9,0,18},{0,9,18},{14,47,0},{0,47,36},{0,9,18},{0,47,36},{30,0,20},{30,0,20},{30,0,20},{30,0,20},{14,31,4},{14,31,4},{14,31,4},{14,46,5},{14,46,5},
{14,46,5},{46,43,54},{46,45,41},{47,15,55},{46,15,44},{46,13,51},{46,15,20},{46,15,8},{46,31,24},{14,45,56},{30,31,21},{47,29,21},{47,15,6},{47,15,6},{47,31,17},{23,0,51},{46,15,20},{46,15,8},{30,31,20},{18,9,51},{30,31,20},{46,13,37},{46,13,37},{46,13,37},{46,15,40},{46,45,8},{46,15,4},{46,15,4},{46,31,8},{14,15,14},{30,31,5},{47,15,2},
{47,15,2},{47,15,2},{47,31,1},{39,0,8},{46,15,4},{46,15,4},{30,31,4},{9,28,8},{30,31,4},{39,2,18},{47,15,5},{47,15,5},{30,15,4},{39,2,18},{34,9,18},{30,15,4},{0,31,20},{34,9,18},{0,31,20},{46,0,36},{46,0,36},{46,0,36},{46,0,36},{46,15,0},{46,15,0},{46,15,0},{46,47,1},{30,31,1},{30,31,1},{31,43,38},{31,29,22},{31,45,25},
{31,45,22},{47,43,53},{47,29,19},{47,45,6},{47,15,37},{46,29,52},{46,45,27},{31,43,22},{31,29,6},{31,45,9},{31,45,6},{9,6,51},{47,29,18},{47,45,5},{30,45,26},{32,7,51},{30,45,26},{31,13,21},{31,13,21},{31,13,21},{31,45,21},{47,13,9},{47,45,5},{47,45,5},{47,15,1},{46,45,10},{46,15,8},{31,13,5},{31,13,5},{31,13,5},{31,45,5},{23,2,8},
{31,15,4},{31,15,4},{47,15,0},{20,9,8},{47,15,0},{47,11,18},{31,29,2},{15,45,5},{47,45,1},{47,11,18},{22,9,18},{47,45,1},{0,45,26},{22,9,18},{0,45,26},{31,0,20},{31,0,20},{31,0,20},{31,0,20},{47,29,1},{47,29,1},{47,29,1},{47,15,1},{46,45,1},{46,45,1},{15,11,38},{15,43,21},{15,13,33},{15,13,33},{15,27,55},{15,13,23},{15,13,18},
{15,29,33},{47,13,59},{31,29,22},{45,27,21},{45,13,6},{45,13,6},{45,29,17},{21,2,51},{15,13,19},{15,13,14},{31,29,21},{24,9,51},{31,29,21},{15,27,21},{15,27,21},{15,27,21},{15,29,21},{15,13,14},{15,29,6},{15,29,6},{15,45,14},{47,13,10},{31,29,6},{45,13,2},{45,13,2},{45,13,2},{45,29,1},{37,2,8},{15,29,2},{15,29,2},{31,29,5},{34,7,8},
{31,29,5},{35,0,18},{15,43,1},{45,13,5},{31,13,5},{35,0,18},{36,7,18},{31,13,5},{0,29,20},{36,7,18},{0,29,20},{15,0,20},{15,0,20},{15,0,20},{15,0,20},{15,13,5},{15,13,5},{15,13,5},{15,45,5},{31,29,2},{31,29,2},{29,41,38},{29,27,20},{29,43,25},{29,43,25},{45,41,53},{45,27,21},{45,43,6},{45,13,37},{31,27,53},{15,43,31},{29,41,22},
{29,27,4},{29,43,9},{29,43,9},{35,2,51},{45,27,20},{45,43,5},{31,43,26},{34,5,51},{31,43,26},{29,27,20},{29,27,20},{29,27,20},{29,13,24},{45,11,9},{45,43,5},{45,43,5},{45,13,1},{15,43,9},{15,13,2},{29,27,4},{29,27,4},{29,27,4},{29,13,8},{44,1,8},{29,13,4},{29,13,4},{45,13,0},{26,9,8},{45,13,0},{3,0,18},{29,27,0},{13,43,5},
{45,43,1},{3,0,18},{0,3,18},{45,43,1},{0,43,26},{0,3,18},{0,43,26},{29,0,20},{29,0,20},{29,0,20},{29,0,20},{45,27,1},{45,27,1},{45,27,1},{45,13,1},{15,13,2},{15,13,2},{13,9,46},{13,41,31},{43,11,37},{13,11,31},{13,25,53},{13,11,21},{13,11,6},{13,27,30},{29,11,56},{29,27,22},{43,25,18},{43,41,2},{43,11,1},{43,27,16},{17,0,51},
{13,11,20},{13,11,5},{29,27,21},{18,3,51},{29,27,21},{13,25,26},{13,25,26},{13,25,26},{13,27,27},{13,41,9},{13,27,3},{13,27,3},{13,27,14},{45,11,9},{29,27,6},{43,11,0},{43,11,0},{43,11,0},{43,27,0},{31,5,8},{13,27,2},{13,27,2},{29,27,5},{14,9,8},{29,27,5},{31,3,18},{43,41,2},{43,11,1},{29,11,1},{31,3,18},{34,3,18},{29,11,1},
{0,27,20},{34,3,18},{0,27,20},{13,0,26},{13,0,26},{13,0,26},{13,0,26},{13,11,1},{13,11,1},{13,11,1},{13,43,5},{29,27,2},{29,27,2},{27,39,38},{27,25,22},{27,41,33},{27,41,25},{43,23,55},{43,25,23},{43,41,18},{43,41,33},{13,25,55},{13,41,21},{27,39,22},{27,25,6},{11,41,14},{27,41,9},{27,9,51},{43,25,19},{27,41,6},{13,41,21},{14,7,51},
{13,41,21},{27,9,21},{27,9,21},{27,9,21},{27,41,21},{43,9,14},{43,25,14},{43,25,14},{43,11,5},{13,41,10},{43,11,5},{27,9,5},{27,9,5},{27,9,5},{27,41,5},{17,2,8},{27,41,2},{27,41,2},{43,11,1},{16,1,8},{43,11,1},{43,7,18},{27,25,2},{11,41,5},{27,41,5},{43,7,18},{18,1,18},{27,41,5},{0,41,20},{18,1,18},{0,41,20},{27,0,20},
{27,0,20},{27,0,20},{27,0,20},{43,9,5},{43,9,5},{43,9,5},{43,11,4},{13,41,1},{13,41,1},{11,7,46},{11,39,30},{41,9,37},{11,9,31},{11,23,53},{11,9,21},{11,9,6},{11,25,30},{13,39,55},{27,25,22},{41,23,18},{41,9,4},{41,9,1},{41,25,16},{17,6,51},{11,9,20},{11,9,5},{27,25,21},{20,1,51},{27,25,21},{11,23,26},{11,23,26},{11,23,26},
{11,25,27},{11,39,9},{11,25,3},{11,25,3},{11,25,14},{43,9,9},{27,25,6},{41,9,0},{41,9,0},{41,9,0},{41,25,0},{29,3,8},{11,25,2},{11,25,2},{27,25,5},{43,9,8},{27,25,5},{29,1,18},{41,9,4},{41,9,1},{27,9,1},{29,1,18},{36,1,18},{27,9,1},{0,25,20},{36,1,18},{0,25,20},{11,0,26},{11,0,26},{11,0,26},{11,0,26},{11,9,1},
{11,9,1},{11,9,1},{11,41,2},{27,25,2},{27,25,2},{25,37,38},{25,23,22},{25,39,25},{25,39,25},{41,21,55},{41,23,23},{41,39,9},{41,39,46},{27,23,53},{11,39,30},{25,37,22},{25,23,6},{25,39,9},{25,39,9},{27,3,51},{41,23,19},{41,39,5},{27,39,26},{39,9,51},{27,39,26},{25,7,21},{25,7,21},{25,7,21},{25,9,24},{41,7,14},{41,39,8},{41,39,8},
{41,9,5},{11,39,8},{41,9,5},{25,7,5},{25,7,5},{25,7,5},{25,9,8},{39,11,8},{25,9,4},{25,9,4},{41,9,1},{22,1,8},{41,9,1},{41,5,18},{25,23,2},{9,39,2},{41,39,1},{41,5,18},{23,9,18},{41,39,1},{0,39,26},{23,9,18},{0,39,26},{25,0,20},{25,0,20},{25,0,20},{25,0,20},{41,7,5},{41,7,5},{41,7,5},{41,9,4},{41,9,4},
{41,9,4},{39,21,54},{39,7,40},{39,7,37},{9,7,41},{9,5,51},{9,7,20},{9,7,5},{9,23,30},{41,37,51},{25,23,26},{39,21,18},{39,7,4},{39,7,1},{39,7,17},{11,1,51},{9,7,20},{9,7,5},{25,23,26},{5,9,51},{25,23,26},{39,7,36},{39,7,36},{39,7,36},{39,23,36},{9,21,10},{9,7,4},{9,7,4},{9,23,5},{41,7,12},{25,23,1},{39,7,0},
{39,7,0},{39,7,0},{39,23,0},{25,5,8},{9,7,4},{9,7,4},{25,23,1},{10,1,8},{25,23,1},{25,3,18},{39,7,4},{39,7,1},{25,7,1},{25,3,18},{12,1,18},{25,7,1},{0,23,26},{12,1,18},{0,23,26},{9,0,36},{9,0,36},{9,0,36},{9,0,36},{9,7,0},{9,7,0},{9,7,0},{9,23,4},{25,23,0},{25,23,0},{23,19,38},{23,5,23},{23,21,28},
{23,37,23},{39,19,55},{39,21,25},{39,37,13},{39,37,33},{9,21,53},{9,37,22},{7,21,27},{23,5,14},{7,37,14},{23,37,14},{23,5,51},{39,21,21},{23,37,6},{9,37,21},{14,1,51},{9,37,21},{23,5,19},{23,5,19},{23,5,19},{23,37,19},{39,5,14},{39,21,9},{39,21,9},{39,7,5},{9,37,11},{39,7,5},{23,5,10},{23,5,10},{23,5,10},{7,7,10},{9,3,8},
{23,37,2},{23,37,2},{39,7,1},{31,3,8},{39,7,1},{37,7,18},{23,5,5},{7,37,5},{23,37,5},{37,7,18},{30,1,18},{23,37,5},{0,37,20},{30,1,18},{0,37,20},{23,0,18},{23,0,18},{23,0,18},{23,0,18},{39,5,5},{39,5,5},{39,5,5},{39,7,4},{9,37,2},{9,37,2},{7,33,44},{7,35,31},{7,5,36},{7,5,31},{7,19,53},{7,5,22},{7,5,7},
{7,21,31},{39,35,57},{23,21,27},{37,19,20},{37,5,4},{37,5,1},{37,5,17},{23,17,51},{7,5,21},{7,5,6},{23,21,26},{45,17,51},{23,21,26},{7,19,26},{7,19,26},{7,19,26},{7,5,30},{7,35,9},{7,5,6},{7,5,6},{7,21,6},{39,5,9},{23,21,2},{37,5,0},{37,5,0},{37,5,0},{37,21,0},{23,3,8},{37,21,4},{37,21,4},{23,21,1},{43,3,8},
{23,21,1},{23,1,18},{37,5,4},{37,5,1},{23,5,1},{23,1,18},{33,7,18},{23,5,1},{0,21,26},{33,7,18},{0,21,26},{7,0,26},{7,0,26},{7,0,26},{7,0,26},{7,5,2},{7,5,2},{7,5,2},{7,37,2},{23,21,1},{23,21,1},{21,17,38},{21,19,20},{21,35,31},{21,35,23},{37,17,55},{37,19,22},{37,35,13},{37,35,33},{23,19,56},{7,35,21},{5,19,27},
{21,19,11},{5,35,14},{21,35,14},{21,3,51},{37,19,18},{21,35,6},{7,35,21},{43,1,51},{7,35,21},{21,3,19},{21,3,19},{21,3,19},{21,35,19},{37,3,14},{37,35,9},{37,35,9},{37,5,5},{7,35,10},{37,5,5},{21,3,10},{21,3,10},{21,3,10},{5,5,10},{3,25,8},{21,35,2},{21,35,2},{37,5,1},{29,1,8},{37,5,1},{35,5,18},{21,19,2},{5,35,5},
{21,35,5},{35,5,18},{27,1,18},{21,35,5},{0,35,20},{27,1,18},{0,35,20},{21,0,18},{21,0,18},{21,0,18},{21,0,18},{37,19,4},{37,19,4},{37,19,4},{37,5,4},{7,35,1},{7,35,1},{35,17,44},{35,33,27},{35,3,27},{35,3,35},{5,1,51},{5,3,26},{5,3,1},{5,19,30},{37,33,51},{21,19,26},{35,17,19},{35,33,2},{35,3,2},{35,3,10},{5,1,51},
{5,3,26},{5,3,1},{21,19,26},{9,1,51},{21,19,26},{35,3,27},{35,3,27},{35,3,27},{35,19,27},{5,17,10},{5,3,1},{5,3,1},{5,19,5},{37,3,12},{21,19,1},{35,3,2},{35,3,2},{35,3,2},{35,19,2},{19,5,8},{5,3,1},{5,3,1},{21,19,1},{37,3,8},{21,19,1},{19,3,18},{35,33,1},{35,3,1},{5,3,1},{19,3,18},{39,1,18},{5,3,1},
{0,19,26},{39,1,18},{0,19,26},{35,0,26},{35,0,26},{35,0,26},{35,0,26},{5,3,0},{5,3,0},{5,3,0},{5,19,4},{21,19,0},{21,19,0},{19,1,54},{19,1,22},{19,17,28},{19,33,27},{19,1,61},{35,17,30},{19,33,19},{35,33,31},{5,17,52},{5,33,20},{3,1,24},{3,17,8},{3,33,13},{3,33,17},{17,5,51},{35,17,21},{19,33,10},{5,33,19},{5,17,51},
{5,33,19},{19,1,18},{19,1,18},{19,1,18},{19,33,18},{19,17,19},{19,33,10},{19,33,10},{19,3,14},{5,33,11},{35,3,6},{3,33,4},{3,33,4},{3,33,4},{3,3,8},{3,3,8},{19,33,1},{19,33,1},{19,3,5},{3,3,8},{19,3,5},{33,33,18},{19,1,4},{3,33,9},{19,33,9},{33,33,18},{33,33,18},{19,33,9},{0,33,18},{33,33,18},{0,33,18},{19,0,18},
{19,0,18},{19,0,18},{19,0,18},{35,1,9},{35,1,9},{35,1,9},{19,3,10},{35,3,2},{35,3,2},{33,1,76},{33,1,36},{33,1,27},{33,1,35},{33,1,84},{3,1,26},{3,1,1},{3,17,30},{19,1,56},{19,17,27},{17,1,43},{33,1,11},{33,1,2},{33,1,10},{1,3,51},{3,1,26},{3,1,1},{19,17,26},{3,1,51},{19,17,26},{33,1,27},{33,1,27},{33,1,27},
{33,17,26},{3,1,16},{3,1,1},{3,1,1},{3,17,5},{35,1,12},{19,17,2},{33,1,2},{33,1,2},{33,1,2},{33,17,1},{17,3,8},{3,1,1},{3,1,1},{19,17,1},{35,1,8},{19,17,1},{17,1,18},{17,1,10},{33,1,1},{19,1,0},{17,1,18},{33,1,18},{19,1,0},{0,17,26},{33,1,18},{0,17,26},{33,0,26},{33,0,26},{33,0,26},{33,0,26},{3,1,0},
{3,1,0},{3,1,0},{3,17,4},{19,17,1},{19,17,1},{17,1,36},{17,1,28},{17,1,27},{17,1,19},{17,1,28},{17,1,12},{17,1,11},{17,1,10},{33,1,20},{33,1,2},{1,1,4},{1,1,4},{1,1,4},{1,1,4},{1,17,3},{17,1,3},{17,1,2},{17,1,1},{17,1,3},{17,1,1},{17,1,27},{17,1,27},{17,1,27},{17,1,19},{17,1,19},{17,1,11},{17,1,11},
{17,1,10},{33,1,11},{33,1,2},{1,1,4},{1,1,4},{1,1,4},{1,1,4},{1,17,2},{17,1,2},{17,1,2},{17,1,1},{17,1,2},{17,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{17,0,18},{17,0,18},{17,0,18},{17,0,18},{17,1,10},{17,1,10},{17,1,10},{17,1,10},{33,1,2},
{33,1,2},{0,4,74},{0,18,10},{0,2,1},{0,2,26},{0,34,154},{0,2,99},{0,32,49},{0,32,121},{0,32,162},{0,32,130},{0,4,74},{0,18,10},{0,2,1},{0,2,26},{32,0,153},{0,2,99},{0,32,49},{0,32,121},{0,32,153},{0,32,121},{0,2,0},{0,2,0},{0,2,0},{0,16,4},{0,32,13},{0,16,5},{0,16,5},{0,16,9},{0,16,14},{0,16,10},{0,2,0},
{0,2,0},{0,2,0},{0,16,4},{16,0,13},{0,16,5},{0,16,5},{0,16,9},{32,0,13},{0,16,9},{32,32,72},{0,18,10},{0,2,1},{0,2,26},{32,32,72},{32,32,72},{0,2,26},{0,32,72},{32,32,72},{0,32,72},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,38,81},{0,20,10},{16,34,34},
{0,18,26},{0,36,243},{0,34,99},{0,18,26},{0,2,139},{0,18,279},{0,2,164},{16,6,76},{16,4,8},{16,34,9},{16,18,24},{18,0,243},{0,34,99},{0,18,26},{0,2,139},{36,0,243},{0,2,139},{0,20,10},{0,20,10},{0,20,10},{0,18,10},{0,34,50},{0,18,10},{0,18,10},{0,32,20},{0,32,61},{0,32,29},{16,4,4},{16,4,4},{16,4,4},{16,2,5},{16,2,50},
{0,18,10},{0,18,10},{0,32,20},{34,0,50},{0,32,20},{18,2,72},{0,20,1},{16,34,5},{0,18,17},{18,2,72},{38,0,72},{0,18,17},{0,18,80},{38,0,72},{0,18,80},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,32,0},{0,32,0},{0,32,0},{0,16,0},{0,16,1},{0,16,1},{16,24,135},{16,6,66},{16,20,122},{16,4,66},{0,8,244},{0,20,81},{0,4,2},
{0,34,121},{0,4,344},{0,34,185},{32,8,74},{32,36,1},{32,4,17},{32,4,17},{16,38,243},{0,20,81},{0,4,2},{0,34,121},{38,16,243},{0,34,121},{16,22,61},{16,22,61},{16,22,61},{16,4,65},{0,6,52},{0,4,1},{0,4,1},{0,18,9},{0,18,94},{0,18,45},{32,36,0},{32,36,0},{32,36,0},{32,34,0},{2,2,50},{0,4,1},{0,4,1},{0,18,9},{2,2,50},
{0,18,9},{20,16,72},{32,36,1},{2,4,1},{0,4,1},{20,16,72},{16,20,72},{0,4,1},{0,34,72},{16,20,72},{0,34,72},{16,0,61},{16,0,61},{16,0,61},{16,0,61},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,32,25},{0,32,25},{32,26,152},{2,22,91},{2,36,119},{32,20,89},{16,10,247},{16,6,78},{16,36,13},{16,4,110},{0,36,293},{0,4,103},{18,8,76},
{18,6,8},{18,36,9},{2,20,19},{20,2,243},{16,6,74},{32,20,9},{0,4,94},{42,0,243},{0,4,94},{32,8,81},{32,8,81},{32,8,81},{32,20,80},{16,8,54},{16,36,9},{16,36,9},{16,34,8},{0,4,77},{0,34,6},{18,6,4},{18,6,4},{18,6,4},{18,4,5},{18,4,50},{32,20,0},{32,20,0},{16,34,4},{36,2,50},{16,34,4},{18,8,72},{2,22,1},{18,36,5},
{0,36,4},{18,8,72},{44,0,72},{0,36,4},{0,4,90},{44,0,72},{0,4,90},{32,0,80},{32,0,80},{32,0,80},{32,0,80},{16,6,4},{16,6,4},{16,6,4},{16,34,4},{0,34,2},{0,34,2},{18,42,146},{18,8,83},{18,22,139},{18,6,79},{2,26,243},{2,38,78},{2,6,9},{2,36,110},{0,38,252},{0,36,79},{34,10,73},{34,8,6},{4,6,21},{34,6,14},{38,0,243},
{2,38,78},{18,6,6},{0,36,75},{30,0,243},{0,36,75},{18,24,75},{18,24,75},{18,24,75},{18,6,75},{2,24,50},{2,6,5},{2,6,5},{2,20,4},{0,6,53},{16,20,2},{34,8,2},{34,8,2},{34,8,2},{34,36,2},{2,24,50},{18,6,2},{18,6,2},{16,20,1},{28,0,50},{16,20,1},{36,6,72},{34,8,5},{4,6,5},{2,6,5},{36,6,72},{31,0,72},{2,6,5},
{0,36,74},{31,0,72},{0,36,74},{18,0,74},{18,0,74},{18,0,74},{18,0,74},{2,22,0},{2,22,0},{2,22,0},{2,4,4},{16,20,2},{16,20,2},{4,12,154},{4,24,85},{4,38,106},{34,38,95},{18,12,253},{18,8,90},{34,38,15},{18,6,122},{0,24,244},{16,22,93},{20,10,76},{20,8,9},{20,38,6},{20,22,24},{24,0,243},{18,8,81},{34,38,6},{0,22,80},{32,8,243},
{0,22,80},{4,40,80},{4,40,80},{4,40,80},{4,22,80},{34,24,59},{34,22,10},{34,22,10},{18,36,19},{32,22,53},{32,6,5},{20,8,5},{20,8,5},{20,8,5},{20,6,8},{22,2,50},{34,22,1},{34,22,1},{32,6,4},{42,2,50},{32,6,4},{24,2,72},{20,8,5},{20,38,2},{18,38,1},{24,2,72},{13,0,72},{18,38,1},{0,22,80},{13,0,72},{0,22,80},{4,0,80},
{4,0,80},{4,0,80},{4,0,80},{34,22,9},{34,22,9},{34,22,9},{18,36,10},{32,6,1},{32,6,1},{20,28,146},{20,10,77},{20,8,122},{20,8,77},{4,28,243},{4,40,78},{4,8,5},{4,38,110},{32,40,244},{2,38,79},{36,12,73},{36,40,2},{6,8,18},{36,8,18},{38,6,243},{34,40,73},{4,8,5},{2,38,75},{27,0,243},{2,38,75},{20,26,73},{20,26,73},{20,26,73},
{20,8,76},{4,26,50},{4,8,4},{4,8,4},{4,22,4},{2,8,50},{18,22,2},{36,40,1},{36,40,1},{36,40,1},{36,38,2},{8,2,50},{4,8,4},{4,8,4},{18,22,1},{30,2,50},{18,22,1},{16,11,72},{36,40,1},{6,8,2},{4,8,1},{16,11,72},{25,0,72},{4,8,1},{0,38,74},{25,0,72},{0,38,74},{20,0,72},{20,0,72},{20,0,72},{20,0,72},{4,24,0},
{4,24,0},{4,24,0},{4,6,4},{18,22,2},{18,22,2},{6,14,154},{6,26,85},{6,40,109},{6,24,97},{20,14,248},{20,10,78},{20,40,13},{20,8,110},{2,26,244},{34,8,91},{22,12,76},{22,10,9},{22,40,9},{22,24,29},{26,2,243},{20,10,74},{20,40,9},{2,24,80},{38,8,243},{2,24,80},{6,42,80},{6,42,80},{6,42,80},{6,24,81},{20,12,54},{20,40,9},{20,40,9},
{20,38,13},{34,24,53},{34,8,10},{22,10,5},{22,10,5},{22,10,5},{22,8,5},{24,4,50},{36,24,1},{36,24,1},{34,8,9},{11,0,50},{34,8,9},{26,4,72},{22,10,5},{22,40,5},{4,40,5},{26,4,72},{7,0,72},{4,40,5},{0,24,80},{7,0,72},{0,24,80},{6,0,80},{6,0,80},{6,0,80},{6,0,80},{20,10,4},{20,10,4},{20,10,4},{20,38,4},{34,8,1},
{34,8,1},{22,46,146},{22,12,83},{38,26,122},{22,10,79},{6,30,245},{6,42,74},{6,10,10},{6,40,111},{4,42,247},{20,40,79},{38,14,76},{38,12,5},{8,10,21},{38,10,17},{44,0,243},{6,42,73},{6,10,9},{4,40,74},{26,8,243},{4,40,74},{22,28,75},{22,28,75},{22,28,75},{22,10,75},{6,28,51},{6,10,6},{6,10,6},{6,24,6},{4,10,53},{20,24,6},{38,12,4},
{38,12,4},{38,12,4},{38,40,5},{38,10,50},{22,40,4},{22,40,4},{36,24,1},{23,0,50},{36,24,1},{42,6,72},{38,12,1},{8,10,5},{6,10,5},{42,6,72},{19,0,72},{6,10,5},{0,40,74},{19,0,72},{0,40,74},{22,0,74},{22,0,74},{22,0,74},{22,0,74},{6,26,2},{6,26,2},{6,26,2},{6,8,5},{20,24,5},{20,24,5},{8,46,154},{8,28,85},{8,42,106},
{8,42,97},{38,46,247},{38,12,82},{38,42,10},{22,26,119},{4,28,247},{36,26,83},{24,14,75},{24,28,6},{24,42,6},{24,26,30},{30,0,243},{38,12,78},{38,42,6},{4,26,75},{33,0,243},{4,26,75},{8,44,80},{8,44,80},{8,44,80},{8,26,80},{38,28,56},{38,26,9},{38,26,9},{38,40,14},{20,42,54},{6,10,9},{24,12,1},{24,12,1},{24,12,1},{24,10,5},{28,2,50},
{38,26,5},{38,26,5},{6,10,5},{42,8,50},{6,10,5},{30,2,72},{8,28,5},{24,42,5},{22,42,1},{30,2,72},{35,2,72},{22,42,1},{0,26,74},{35,2,72},{0,26,74},{8,0,80},{8,0,80},{8,0,80},{8,0,80},{38,26,5},{38,26,5},{38,26,5},{38,40,5},{6,40,4},{6,40,4},{24,15,146},{24,14,83},{24,28,126},{24,12,79},{8,31,243},{8,44,78},{8,12,9},
{8,42,110},{36,44,245},{22,42,79},{40,46,75},{40,14,6},{10,12,21},{40,12,14},{47,0,243},{8,44,78},{8,12,9},{6,42,74},{27,6,243},{6,42,74},{24,30,75},{24,30,75},{24,30,75},{24,12,75},{8,14,52},{8,12,5},{8,12,5},{8,26,5},{6,12,53},{22,26,6},{40,14,2},{40,14,2},{40,14,2},{40,42,1},{16,3,50},{24,42,4},{24,42,4},{38,26,1},{17,0,50},
{38,26,1},{47,2,72},{40,14,5},{10,12,5},{8,12,5},{47,2,72},{17,2,72},{8,12,5},{0,42,74},{17,2,72},{0,42,74},{24,0,74},{24,0,74},{24,0,74},{24,0,74},{8,28,0},{8,28,0},{8,28,0},{8,10,1},{22,26,5},{22,26,5},{10,15,152},{10,30,85},{10,44,106},{40,44,95},{40,31,252},{24,14,90},{40,44,15},{24,12,122},{6,30,247},{38,28,89},{26,47,73},
{26,30,6},{26,44,6},{26,28,21},{34,3,243},{8,30,76},{40,44,6},{6,28,80},{35,4,243},{6,28,80},{10,46,80},{10,46,80},{10,46,80},{10,28,81},{40,30,59},{40,28,10},{40,28,10},{24,42,18},{22,44,51},{8,12,9},{26,14,1},{26,14,1},{26,14,1},{26,12,5},{30,4,50},{40,28,1},{40,28,1},{8,12,5},{15,8,50},{8,12,5},{15,2,72},{10,30,5},{26,44,5},
{24,44,1},{15,2,72},{33,4,72},{24,44,1},{0,28,80},{33,4,72},{0,28,80},{10,0,80},{10,0,80},{10,0,80},{10,0,80},{40,28,9},{40,28,9},{40,28,9},{24,42,9},{8,12,5},{8,12,5},{26,13,152},{26,47,89},{42,30,122},{26,14,89},{10,29,245},{10,46,74},{10,30,15},{10,44,106},{8,46,247},{24,44,81},{42,45,76},{42,47,9},{12,30,18},{42,14,17},{4,1,243},
{10,46,73},{26,14,10},{8,44,80},{1,4,243},{8,44,80},{26,15,80},{26,15,80},{26,15,80},{26,14,80},{10,31,51},{10,30,6},{10,30,6},{10,28,6},{24,14,54},{24,28,6},{42,47,5},{42,47,5},{42,47,5},{42,44,5},{45,0,50},{26,14,1},{26,14,1},{40,28,1},{27,8,50},{40,28,1},{46,10,72},{12,46,5},{12,30,9},{26,14,9},{46,10,72},{23,8,72},{26,14,9},
{0,44,80},{23,8,72},{0,44,80},{26,0,80},{26,0,80},{26,0,80},{26,0,80},{10,30,2},{10,30,2},{10,30,2},{10,12,5},{24,44,1},{24,44,1},{12,13,148},{12,31,79},{12,46,110},{12,46,83},{42,29,248},{42,47,85},{42,46,5},{26,30,126},{8,31,247},{40,30,83},{28,29,75},{28,47,5},{28,46,5},{28,46,26},{27,0,243},{26,31,80},{42,46,1},{8,30,75},{37,8,243},
{8,30,75},{12,15,74},{12,15,74},{12,15,74},{12,30,74},{42,15,56},{42,46,5},{42,46,5},{26,14,21},{24,46,56},{10,14,2},{28,47,1},{28,47,1},{28,47,1},{28,14,5},{29,2,50},{42,46,1},{42,46,1},{10,14,1},{35,6,50},{10,14,1},{38,3,72},{28,47,4},{44,46,1},{26,46,1},{38,3,72},{35,8,72},{26,46,1},{0,30,74},{35,8,72},{0,30,74},{12,0,74},
{12,0,74},{12,0,74},{12,0,74},{42,46,4},{42,46,4},{42,46,4},{42,44,5},{10,14,1},{10,14,1},{28,11,146},{28,45,84},{44,47,121},{28,47,79},{12,27,244},{12,15,79},{12,47,6},{12,46,106},{40,15,244},{26,46,81},{44,43,76},{44,15,6},{14,47,11},{44,47,14},{28,13,243},{42,15,76},{12,47,5},{10,46,80},{27,12,243},{10,46,80},{28,13,75},{28,13,75},{28,13,75},
{28,47,78},{12,29,51},{12,47,5},{12,47,5},{12,30,6},{10,47,51},{26,30,6},{44,15,5},{44,15,5},{44,15,5},{44,46,5},{43,2,50},{12,47,4},{12,47,4},{42,30,1},{21,8,50},{42,30,1},{41,2,72},{44,15,2},{14,47,2},{12,47,1},{41,2,72},{17,8,72},{12,47,1},{0,46,80},{17,8,72},{0,46,80},{28,0,74},{28,0,74},{28,0,74},{28,0,74},{12,31,1},
{12,31,1},{12,31,1},{12,14,5},{26,46,1},{26,46,1},{14,11,148},{14,29,79},{14,15,114},{14,31,90},{44,27,248},{28,45,84},{28,15,18},{28,47,115},{10,29,247},{42,47,91},{30,27,75},{30,45,5},{30,15,6},{30,31,21},{40,3,243},{28,45,75},{28,15,9},{10,31,80},{16,9,243},{10,31,80},{14,13,74},{14,13,74},{14,13,74},{14,31,74},{44,13,56},{44,31,6},{44,31,6},
{44,46,21},{42,31,52},{42,47,10},{30,45,1},{30,45,1},{30,45,1},{30,47,2},{38,1,50},{44,31,2},{44,31,2},{42,47,9},{43,28,50},{42,47,9},{29,12,72},{30,45,4},{30,15,5},{12,15,5},{29,12,72},{26,13,72},{12,15,5},{0,31,80},{26,13,72},{0,31,80},{14,0,74},{14,0,74},{14,0,74},{14,0,74},{44,15,5},{44,15,5},{44,15,5},{44,46,5},{42,47,1},
{42,47,1},{30,9,154},{46,43,91},{46,29,115},{30,45,85},{14,9,247},{14,13,77},{14,29,18},{14,15,114},{12,13,247},{28,15,79},{46,25,83},{46,43,10},{47,45,21},{46,45,17},{10,1,243},{14,13,73},{30,45,6},{12,15,74},{4,9,243},{12,15,74},{30,11,80},{30,11,80},{30,11,80},{30,45,81},{14,11,56},{14,29,9},{14,29,9},{14,31,6},{12,45,56},{44,31,5},{46,43,9},
{46,43,9},{46,43,9},{46,15,10},{39,0,50},{30,45,2},{30,45,2},{44,31,1},{9,28,50},{44,31,1},{9,6,72},{46,43,1},{47,45,5},{14,45,5},{9,6,72},{32,7,72},{14,45,5},{0,15,74},{32,7,72},{0,15,74},{30,0,80},{30,0,80},{30,0,80},{30,0,80},{14,13,5},{14,13,5},{14,13,5},{14,31,5},{44,31,4},{44,31,4},{47,9,154},{47,27,81},{47,13,106},
{47,13,97},{46,9,244},{46,43,79},{46,13,6},{46,45,121},{12,27,248},{44,29,84},{31,25,75},{31,27,6},{31,13,6},{31,29,30},{21,0,243},{46,43,78},{46,13,5},{12,29,75},{18,7,243},{12,29,75},{47,11,80},{47,11,80},{47,11,80},{47,29,80},{46,11,51},{46,13,5},{46,13,5},{46,15,11},{28,13,54},{14,45,6},{31,43,1},{31,43,1},{31,43,1},{31,29,5},{23,2,50},
{46,13,4},{46,13,4},{14,45,5},{20,9,50},{14,45,5},{21,2,72},{47,27,1},{15,13,5},{30,13,1},{21,2,72},{24,9,72},{30,13,1},{0,29,74},{24,9,72},{0,29,74},{47,0,80},{47,0,80},{47,0,80},{47,0,80},{46,13,1},{46,13,1},{46,13,1},{46,15,2},{14,45,2},{14,45,2},{31,7,146},{31,41,83},{31,27,126},{31,43,79},{47,23,243},{47,11,78},{47,43,5},
{47,13,110},{14,11,247},{30,13,79},{15,9,75},{15,11,2},{15,27,21},{15,43,14},{14,3,243},{47,11,78},{47,43,5},{14,13,74},{32,5,243},{14,13,74},{31,9,75},{31,9,75},{31,9,75},{31,43,75},{47,25,52},{47,43,1},{47,43,1},{47,29,5},{14,43,56},{46,29,5},{15,11,1},{15,11,1},{15,11,1},{15,13,1},{37,2,50},{47,43,1},{47,43,1},{46,29,1},{34,7,50},
{46,29,1},{35,2,72},{15,11,1},{45,43,5},{47,43,4},{35,2,72},{34,5,72},{47,43,4},{0,13,74},{34,5,72},{0,13,74},{31,0,74},{31,0,74},{31,0,74},{31,0,74},{47,27,1},{47,27,1},{47,27,1},{47,45,1},{46,29,4},{46,29,4},{45,7,152},{45,25,81},{45,11,106},{45,11,97},{15,23,253},{31,25,90},{31,11,15},{31,43,122},{14,25,247},{46,27,89},{29,39,73},
{29,25,6},{29,11,6},{29,27,26},{46,3,243},{47,25,76},{31,11,6},{14,27,80},{16,3,243},{14,27,80},{45,9,80},{45,9,80},{45,9,80},{45,27,81},{15,25,59},{15,27,10},{15,27,10},{31,13,18},{30,11,54},{46,43,9},{29,41,1},{29,41,1},{29,41,1},{29,43,2},{44,1,50},{15,27,1},{15,27,1},{46,43,5},{26,9,50},{46,43,5},{46,1,72},{45,25,1},{13,11,5},
{31,11,2},{46,1,72},{26,7,72},{31,11,2},{0,27,80},{26,7,72},{0,27,80},{45,0,80},{45,0,80},{45,0,80},{45,0,80},{15,27,9},{15,27,9},{15,27,9},{31,13,9},{47,13,5},{47,13,5},{29,5,154},{29,39,89},{13,25,122},{29,41,89},{45,21,245},{45,9,74},{45,41,15},{45,11,106},{47,9,247},{31,11,85},{13,37,76},{13,9,9},{43,25,18},{13,41,17},{1,0,243},
{45,9,73},{29,41,10},{47,11,80},{0,1,243},{47,11,80},{29,7,80},{29,7,80},{29,7,80},{29,41,80},{45,23,51},{45,41,6},{45,41,6},{45,27,6},{31,41,54},{31,27,6},{13,9,5},{13,9,5},{13,9,5},{13,11,5},{31,5,50},{29,41,1},{29,41,1},{15,27,1},{14,9,50},{15,27,1},{27,9,72},{13,9,5},{43,25,9},{29,41,9},{27,9,72},{14,7,72},{29,41,9},
{0,11,80},{14,7,72},{0,11,80},{29,0,80},{29,0,80},{29,0,80},{29,0,80},{45,25,1},{45,25,1},{45,25,1},{45,27,5},{31,11,5},{31,11,5},{43,5,148},{43,23,79},{43,9,110},{43,9,83},{13,21,248},{13,39,85},{13,9,9},{29,25,126},{47,23,248},{15,25,83},{27,21,75},{27,23,6},{27,9,5},{27,9,26},{15,1,243},{29,23,74},{13,9,5},{31,25,75},{9,11,243},
{31,25,75},{43,7,74},{43,7,74},{43,7,74},{43,25,74},{13,7,56},{13,9,9},{13,9,9},{13,11,21},{15,9,56},{15,41,6},{27,39,1},{27,39,1},{27,39,1},{27,25,5},{17,2,50},{43,25,4},{43,25,4},{15,41,2},{16,1,50},{15,41,2},{17,6,72},{27,23,5},{11,9,1},{29,9,0},{17,6,72},{20,1,72},{29,9,0},{0,25,74},{20,1,72},{0,25,74},{43,0,74},
{43,0,74},{43,0,74},{43,0,74},{13,9,5},{13,9,5},{13,9,5},{13,11,5},{15,41,5},{15,41,5},{27,3,146},{27,37,83},{27,23,119},{27,39,79},{43,19,244},{43,7,79},{43,39,10},{43,9,106},{15,7,245},{29,9,85},{11,35,76},{11,7,9},{41,39,14},{11,39,17},{27,5,243},{13,7,78},{27,39,9},{45,9,80},{6,1,243},{45,9,80},{27,5,75},{27,5,75},{27,5,75},
{27,39,75},{43,21,51},{43,39,6},{43,39,6},{43,25,6},{45,39,53},{29,25,6},{11,7,5},{11,7,5},{11,7,5},{11,9,5},{29,3,50},{27,39,5},{27,39,5},{13,25,1},{43,9,50},{13,25,1},{27,3,72},{41,7,4},{41,39,5},{27,39,5},{27,3,72},{39,9,72},{27,39,5},{0,9,80},{39,9,72},{0,9,80},{27,0,74},{27,0,74},{27,0,74},{27,0,74},{43,23,1},
{43,23,1},{43,23,1},{43,25,5},{29,9,5},{29,9,5},{41,3,148},{41,21,79},{41,7,111},{41,7,91},{11,19,248},{11,37,85},{11,7,10},{27,39,122},{45,21,248},{13,23,83},{25,19,75},{25,21,6},{25,7,6},{25,23,30},{17,10,243},{27,21,81},{11,7,6},{29,23,75},{24,1,243},{29,23,75},{41,5,74},{41,5,74},{41,5,74},{41,23,74},{11,5,56},{11,7,9},{11,7,9},
{11,9,21},{29,7,54},{13,39,5},{25,37,1},{25,37,1},{25,37,1},{25,39,2},{39,11,50},{41,23,4},{41,23,4},{13,39,4},{22,1,50},{13,39,4},{39,7,72},{25,21,5},{9,7,5},{27,7,2},{39,7,72},{26,1,72},{27,7,2},{0,23,74},{26,1,72},{0,23,74},{41,0,74},{41,0,74},{41,0,74},{41,0,74},{11,7,5},{11,7,5},{11,7,5},{11,9,5},{13,39,1},
{13,39,1},{25,1,154},{9,35,91},{9,21,110},{25,37,89},{41,1,247},{41,5,77},{41,21,13},{41,7,109},{43,5,247},{27,7,85},{39,19,81},{9,35,10},{39,21,13},{9,37,22},{41,1,243},{41,5,73},{41,21,9},{43,7,80},{47,3,243},{43,7,80},{25,3,80},{25,3,80},{25,3,80},{25,37,80},{41,3,56},{41,21,9},{41,21,9},{41,23,9},{27,37,54},{11,23,9},{39,21,9},
{39,21,9},{39,21,9},{9,7,10},{25,5,50},{25,37,1},{25,37,1},{11,23,5},{10,1,50},{11,23,5},{23,5,72},{9,35,1},{39,21,4},{11,21,4},{23,5,72},{14,1,72},{11,21,4},{0,7,80},{14,1,72},{0,7,80},{25,0,80},{25,0,80},{25,0,80},{25,0,80},{41,5,5},{41,5,5},{41,5,5},{41,23,5},{27,7,5},{27,7,5},{39,1,148},{39,3,79},{39,5,110},
{39,5,83},{9,1,244},{9,35,79},{9,5,5},{9,21,122},{43,19,248},{11,21,77},{23,17,72},{23,19,2},{23,5,4},{23,5,25},{9,1,243},{25,19,74},{9,5,4},{27,21,73},{46,1,243},{27,21,73},{39,3,75},{39,3,75},{39,3,75},{39,21,75},{9,3,51},{9,5,5},{9,5,5},{9,7,18},{11,5,53},{41,37,2},{23,19,1},{23,19,1},{23,19,1},{23,21,1},{9,3,50},
{9,5,4},{9,5,4},{41,37,1},{31,3,50},{41,37,1},{23,17,72},{23,19,2},{7,5,4},{25,5,0},{23,17,72},{45,17,72},{25,5,0},{0,21,72},{45,17,72},{0,21,72},{39,0,74},{39,0,74},{39,0,74},{39,0,74},{9,5,1},{9,5,1},{9,5,1},{9,7,2},{41,37,1},{41,37,1},{7,1,184},{23,17,93},{7,19,122},{23,35,89},{23,1,260},{39,3,74},{39,35,15},
{39,5,106},{41,3,247},{25,5,85},{37,17,81},{7,33,5},{37,19,19},{7,35,17},{19,9,243},{39,3,73},{23,35,10},{41,5,80},{45,1,243},{41,5,80},{23,1,80},{23,1,80},{23,1,80},{23,35,80},{39,17,51},{39,35,6},{39,35,6},{39,21,6},{25,35,54},{9,21,9},{7,33,4},{7,33,4},{7,33,4},{7,5,5},{23,3,50},{23,35,1},{23,35,1},{9,21,5},{43,3,50},
{9,21,5},{21,3,72},{7,33,1},{37,19,10},{23,35,9},{21,3,72},{43,1,72},{23,35,9},{0,5,80},{43,1,72},{0,5,80},{23,0,80},{23,0,80},{23,0,80},{23,0,80},{39,19,1},{39,19,1},{39,19,1},{39,21,2},{25,5,5},{25,5,5},{21,1,234},{37,1,79},{37,3,110},{37,3,90},{37,1,300},{7,33,82},{7,3,9},{23,19,139},{41,17,248},{9,19,83},{21,1,90},
{21,17,2},{21,3,4},{21,3,25},{21,17,243},{23,17,74},{7,3,5},{25,19,75},{17,21,243},{25,19,75},{37,1,75},{37,1,75},{37,1,75},{37,19,74},{7,1,56},{7,19,6},{7,19,6},{7,5,21},{9,3,53},{9,35,6},{21,17,1},{21,17,1},{21,17,1},{21,19,4},{3,25,50},{7,19,2},{7,19,2},{9,35,2},{29,1,50},{9,35,2},{17,39,72},{21,17,2},{5,3,4},
{23,3,0},{17,39,72},{39,17,72},{23,3,0},{0,19,74},{39,17,72},{0,19,74},{37,0,74},{37,0,74},{37,0,74},{37,0,74},{7,3,5},{7,3,5},{7,3,5},{7,5,5},{9,35,5},{9,35,5},{5,1,290},{5,1,103},{5,17,110},{21,33,106},{5,1,345},{37,1,78},{37,17,13},{37,3,119},{39,1,248},{23,3,91},{35,1,126},{35,1,6},{35,17,8},{5,33,29},{35,1,243},
{37,1,74},{37,17,9},{9,33,81},{1,35,243},{9,33,81},{5,1,94},{5,1,94},{5,1,94},{21,33,90},{21,1,61},{37,17,9},{37,17,9},{37,19,9},{23,33,53},{7,19,8},{35,17,4},{35,17,4},{35,17,4},{35,3,4},{19,5,50},{21,33,0},{21,33,0},{7,19,4},{37,3,50},{7,19,4},{17,5,72},{35,1,2},{35,17,4},{7,17,4},{17,5,72},{5,17,72},{7,17,4},
{0,33,80},{5,17,72},{0,33,80},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{37,1,4},{37,1,4},{37,1,4},{37,19,5},{23,3,1},{23,3,1},{19,1,349},{35,1,185},{35,1,121},{35,1,81},{19,1,398},{5,1,102},{5,1,2},{21,17,122},{37,1,270},{7,17,66},{3,1,126},{19,1,45},{19,1,9},{19,1,25},{33,33,221},{35,1,82},{5,1,1},{23,17,61},{33,33,221},
{23,17,61},{35,1,121},{35,1,121},{35,1,121},{35,17,73},{35,1,94},{5,1,2},{5,1,2},{5,33,17},{7,1,53},{37,33,1},{19,1,9},{19,1,9},{19,1,9},{19,17,1},{3,3,50},{5,1,1},{5,1,1},{37,33,0},{3,3,50},{37,33,0},{1,3,61},{33,1,25},{3,1,1},{5,1,1},{1,3,61},{3,1,61},{5,1,1},{0,17,61},{3,1,61},{0,17,61},{35,0,72},
{35,0,72},{35,0,72},{35,0,72},{5,1,1},{5,1,1},{5,1,1},{5,3,1},{37,33,1},{37,33,1},{3,1,239},{3,1,164},{3,1,139},{19,1,89},{3,1,239},{19,1,62},{19,1,26},{35,17,34},{35,1,163},{21,1,10},{33,1,69},{33,1,29},{33,1,20},{33,1,4},{1,3,93},{3,1,38},{19,1,10},{21,1,10},{3,1,93},{21,1,10},{3,1,139},{3,1,139},{3,1,139},
{19,1,89},{19,1,138},{19,1,26},{19,1,26},{35,17,9},{5,1,74},{5,17,8},{33,1,20},{33,1,20},{33,1,20},{33,1,4},{17,3,50},{19,1,10},{19,1,10},{5,17,4},{35,1,50},{5,17,4},{1,17,5},{17,1,1},{17,1,0},{33,1,0},{1,17,5},{17,1,5},{33,1,0},{0,1,9},{17,1,5},{0,1,9},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{19,1,17},
{19,1,17},{19,1,17},{35,17,5},{21,1,1},{21,1,1},{17,1,162},{33,1,130},{33,1,121},{33,1,81},{33,1,138},{33,1,58},{33,1,49},{3,1,1},{19,1,82},{19,1,10},{17,1,18},{17,1,10},{17,1,9},{17,1,1},{1,17,18},{17,1,6},{17,1,5},{3,1,0},{17,1,18},{3,1,0},{33,1,121},{33,1,121},{33,1,121},{33,1,81},{33,1,89},{33,1,49},{33,1,49},
{3,1,1},{19,1,46},{19,1,10},{17,1,9},{17,1,9},{17,1,9},{17,1,1},{17,1,13},{17,1,5},{17,1,5},{3,1,0},{33,1,13},{3,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{33,0,72},{33,0,72},{33,0,72},{33,0,72},{3,1,26},{3,1,26},{3,1,26},{3,1,1},{19,1,10},
{19,1,10},{0,38,200},{0,20,25},{0,34,5},{0,34,85},{0,20,442},{0,34,266},{0,18,125},{0,2,318},{0,18,482},{0,2,343},{0,38,200},{0,20,25},{0,34,5},{0,34,85},{16,4,441},{0,34,266},{0,18,125},{0,2,318},{4,16,441},{0,2,318},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,41},{0,32,13},{0,32,13},{0,16,25},{0,16,46},{0,16,26},{0,4,1},
{0,4,1},{0,4,1},{0,2,1},{0,2,41},{0,32,13},{0,32,13},{0,16,25},{2,0,41},{0,16,25},{18,2,200},{0,20,25},{0,34,5},{0,34,85},{18,2,200},{38,0,200},{0,34,85},{0,18,208},{38,0,200},{0,18,208},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,10,202},{0,22,1},{0,20,26},
{0,4,41},{0,22,689},{0,20,352},{0,4,141},{0,18,468},{0,34,750},{0,18,504},{0,10,202},{0,22,1},{0,20,26},{0,4,41},{34,0,686},{0,20,352},{0,4,141},{0,18,468},{0,34,686},{0,18,468},{0,22,0},{0,22,0},{0,22,0},{0,34,1},{0,34,145},{0,18,45},{0,18,45},{0,32,85},{0,32,158},{0,32,94},{0,22,0},{0,22,0},{0,22,0},{0,34,1},{16,2,145},
{0,18,45},{0,18,45},{0,32,85},{34,0,145},{0,32,85},{20,16,200},{0,22,1},{16,20,5},{0,4,41},{20,16,200},{16,20,200},{0,4,41},{0,34,200},{16,20,200},{0,34,200},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{16,12,229},{16,8,30},{16,6,74},{16,36,58},{0,10,723},{0,6,282},{0,36,69},
{0,4,414},{0,20,868},{0,34,513},{16,12,204},{16,8,5},{32,6,29},{16,36,33},{4,2,723},{0,6,282},{0,36,69},{0,4,414},{10,0,723},{0,4,414},{16,8,30},{16,8,30},{16,8,30},{16,4,33},{0,6,164},{0,4,25},{0,4,25},{0,18,65},{0,18,206},{0,18,101},{16,8,5},{16,8,5},{16,8,5},{16,4,8},{2,2,162},{0,4,25},{0,4,25},{0,18,65},{2,2,162},
{0,18,65},{18,8,200},{16,8,1},{2,36,5},{0,36,20},{18,8,200},{44,0,200},{0,36,20},{0,4,218},{44,0,200},{0,4,218},{16,0,29},{16,0,29},{16,0,29},{16,0,29},{0,18,1},{0,18,1},{0,18,1},{0,32,0},{0,32,9},{0,32,9},{16,30,327},{32,40,139},{32,22,202},{16,6,151},{0,28,724},{0,8,236},{0,22,14},{0,20,350},{0,6,956},{0,20,494},{2,12,203},
{2,24,2},{2,22,27},{2,6,42},{36,2,723},{0,8,236},{0,22,14},{0,20,350},{20,4,723},{0,20,350},{16,42,125},{16,42,125},{16,42,125},{16,6,126},{0,24,164},{0,6,1},{0,6,1},{0,4,37},{0,4,280},{0,34,109},{2,24,1},{2,24,1},{2,24,1},{2,36,2},{18,4,162},{0,6,1},{0,6,1},{0,4,37},{36,2,162},{0,4,37},{8,0,200},{2,24,1},{18,22,5},
{0,22,10},{8,0,200},{47,0,200},{0,22,10},{0,36,200},{47,0,200},{0,36,200},{16,0,125},{16,0,125},{16,0,125},{16,0,125},{0,6,0},{0,6,0},{0,6,0},{0,18,1},{0,18,37},{0,18,37},{2,46,410},{2,26,218},{2,8,317},{2,38,226},{16,30,725},{16,40,217},{16,38,15},{0,6,312},{0,38,988},{0,6,417},{34,28,209},{18,26,13},{34,8,27},{18,38,34},{8,0,723},
{0,40,203},{16,38,14},{0,6,296},{47,0,723},{0,6,296},{2,12,208},{2,12,208},{2,12,208},{2,22,209},{16,42,163},{16,38,6},{16,38,6},{16,20,26},{0,6,285},{0,20,81},{18,26,9},{18,26,9},{18,26,9},{34,6,10},{2,24,162},{32,22,5},{32,22,5},{0,20,17},{28,0,162},{0,20,17},{24,2,200},{18,26,4},{4,8,9},{0,8,10},{24,2,200},{13,0,200},{0,8,10},
{0,22,208},{13,0,200},{0,22,208},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{16,8,1},{16,8,1},{16,8,1},{16,4,2},{0,4,45},{0,4,45},{18,15,402},{18,12,222},{34,24,331},{18,24,218},{32,47,725},{32,26,212},{32,24,5},{32,38,324},{0,24,884},{0,38,300},{4,30,200},{4,26,5},{4,24,36},{4,8,41},{40,0,723},{16,26,203},{32,24,4},{0,38,251},{46,2,723},
{0,38,251},{18,14,203},{18,14,203},{18,14,203},{18,8,202},{32,28,163},{32,24,5},{32,24,5},{32,6,21},{0,38,219},{0,6,13},{4,26,1},{4,26,1},{4,26,1},{4,38,0},{22,2,162},{2,8,1},{2,8,1},{0,6,4},{42,2,162},{0,6,4},{16,11,200},{34,42,4},{20,24,4},{32,24,0},{16,11,200},{25,0,200},{32,24,0},{0,38,202},{25,0,200},{0,38,202},{18,0,202},
{18,0,202},{18,0,202},{18,0,202},{32,40,1},{32,40,1},{32,40,1},{32,36,1},{0,6,9},{0,6,9},{4,15,408},{4,28,221},{4,10,317},{4,40,221},{18,31,725},{18,42,217},{18,40,6},{2,8,315},{0,26,788},{0,8,228},{20,47,204},{20,12,6},{36,10,27},{20,40,33},{10,2,723},{32,12,203},{18,40,5},{0,8,227},{45,2,723},{0,8,227},{4,14,208},{4,14,208},{4,14,208},
{4,24,209},{18,44,163},{18,40,2},{18,40,2},{18,22,26},{0,24,179},{0,38,3},{20,12,5},{20,12,5},{20,12,5},{20,24,5},{8,2,162},{18,40,1},{18,40,1},{0,38,2},{30,2,162},{0,38,2},{26,4,200},{20,12,2},{6,40,5},{18,40,4},{26,4,200},{7,0,200},{18,40,4},{0,24,208},{7,0,200},{0,24,208},{4,0,208},{4,0,208},{4,0,208},{4,0,208},{18,10,1},
{18,10,1},{18,10,1},{18,6,2},{0,38,2},{0,38,2},{20,13,402},{20,14,220},{36,26,331},{20,26,216},{34,45,725},{34,12,213},{34,26,5},{34,24,337},{0,12,740},{16,40,216},{6,31,202},{6,28,1},{6,26,36},{6,10,41},{42,2,723},{18,28,200},{34,26,4},{0,40,209},{44,6,723},{0,40,209},{20,46,200},{20,46,200},{20,46,200},{20,10,201},{34,30,163},{34,26,5},{34,26,5},
{34,8,18},{0,26,164},{32,8,2},{6,28,0},{6,28,0},{6,28,0},{6,40,1},{24,4,162},{4,10,1},{4,10,1},{2,8,2},{11,0,162},{2,8,2},{14,0,200},{6,28,1},{22,26,4},{34,26,0},{14,0,200},{8,10,200},{34,26,0},{0,40,200},{8,10,200},{0,40,200},{20,0,200},{20,0,200},{20,0,200},{20,0,200},{34,42,1},{34,42,1},{34,42,1},{34,38,1},{32,8,1},
{32,8,1},{6,13,404},{6,30,219},{6,12,327},{6,42,215},{20,29,725},{20,44,217},{20,12,9},{4,10,321},{0,14,723},{32,26,222},{38,15,206},{38,14,8},{38,12,24},{22,42,34},{14,0,723},{4,14,203},{20,12,8},{0,26,203},{8,10,723},{0,26,203},{6,47,202},{6,47,202},{6,47,202},{6,26,206},{20,46,163},{20,12,5},{20,12,5},{20,24,30},{32,42,164},{2,40,6},{38,44,4},
{38,44,4},{38,44,4},{38,10,5},{38,10,162},{20,12,4},{20,12,4},{2,40,2},{23,0,162},{2,40,2},{30,2,200},{38,14,4},{8,12,4},{4,12,4},{30,2,200},{35,2,200},{4,12,4},{0,26,202},{35,2,200},{0,26,202},{6,0,202},{6,0,202},{6,0,202},{6,0,202},{20,12,1},{20,12,1},{20,12,1},{20,8,2},{2,10,4},{2,10,4},{22,11,402},{22,47,227},{38,44,321},
{22,28,218},{36,27,727},{36,30,215},{36,28,13},{36,42,327},{32,30,725},{18,42,212},{8,29,200},{8,30,4},{24,28,29},{8,12,45},{0,1,723},{20,30,203},{6,28,5},{32,42,202},{1,0,723},{32,42,202},{22,15,202},{22,15,202},{22,15,202},{22,12,202},{36,15,168},{36,28,13},{36,28,13},{36,10,17},{2,28,163},{34,10,9},{8,30,0},{8,30,0},{8,30,0},{8,42,0},{28,2,162},
{6,12,5},{6,12,5},{4,10,4},{42,8,162},{4,10,4},{47,2,200},{8,30,4},{24,28,4},{36,28,0},{47,2,200},{17,2,200},{36,28,0},{0,42,202},{17,2,200},{0,42,202},{22,0,202},{22,0,202},{22,0,202},{22,0,202},{36,14,5},{36,14,5},{36,14,5},{36,40,4},{34,26,2},{34,26,2},{8,11,408},{8,31,221},{8,14,312},{8,44,226},{22,27,724},{22,46,217},{22,44,12},
{6,12,321},{2,47,728},{34,28,234},{40,29,209},{24,47,10},{40,14,22},{24,44,34},{18,3,723},{36,47,203},{22,44,11},{32,28,208},{45,8,723},{32,28,208},{8,15,209},{8,15,209},{8,15,209},{8,28,209},{22,15,165},{22,44,3},{22,44,3},{22,26,30},{34,44,164},{4,42,6},{40,30,10},{40,30,10},{40,30,10},{40,12,10},{16,3,162},{22,44,2},{22,44,2},{4,42,2},{17,0,162},
{4,42,2},{15,2,200},{24,47,1},{10,14,4},{6,14,5},{15,2,200},{33,4,200},{6,14,5},{0,28,208},{33,4,200},{0,28,208},{8,0,208},{8,0,208},{8,0,208},{8,0,208},{22,14,1},{22,14,1},{22,14,1},{22,10,2},{4,12,4},{4,12,4},{24,9,402},{24,45,227},{40,46,324},{24,30,218},{38,25,727},{38,47,213},{38,30,13},{38,28,325},{34,31,727},{20,44,218},{10,27,202},
{10,31,1},{26,30,29},{10,14,45},{4,3,723},{22,31,200},{8,30,8},{34,44,202},{3,4,723},{34,44,202},{24,13,202},{24,13,202},{24,13,202},{24,14,202},{38,13,168},{38,30,13},{38,30,13},{38,12,17},{4,30,163},{36,12,9},{10,31,0},{10,31,0},{10,31,0},{10,44,0},{30,4,162},{8,14,4},{8,14,4},{6,12,4},{15,8,162},{6,12,4},{43,0,200},{10,31,1},{26,30,4},
{38,30,0},{43,0,200},{19,6,200},{38,30,0},{0,44,202},{19,6,200},{0,44,202},{24,0,202},{24,0,202},{24,0,202},{24,0,202},{38,46,5},{38,46,5},{38,46,5},{38,42,4},{20,28,4},{20,28,4},{10,9,404},{10,29,219},{26,47,330},{10,46,222},{24,9,723},{24,15,209},{24,47,18},{8,14,324},{4,45,723},{36,30,222},{42,11,206},{42,15,8},{42,47,22},{26,46,41},{43,0,723},
{8,15,202},{24,47,18},{4,30,202},{19,6,723},{4,30,202},{10,43,202},{10,43,202},{10,43,202},{10,30,206},{24,13,162},{24,46,8},{24,46,8},{24,44,25},{20,47,168},{22,44,4},{42,15,4},{42,15,4},{42,15,4},{42,14,8},{45,0,162},{40,46,4},{40,46,4},{22,44,0},{27,8,162},{22,44,0},{38,3,200},{42,15,4},{12,47,9},{8,47,10},{38,3,200},{35,8,200},{8,47,10},
{0,30,202},{35,8,200},{0,30,202},{10,0,202},{10,0,202},{10,0,202},{10,0,202},{24,47,0},{24,47,0},{24,47,0},{24,12,4},{22,44,4},{22,44,4},{26,7,408},{42,13,236},{42,15,332},{26,31,224},{40,23,727},{40,45,213},{40,31,8},{40,46,312},{36,29,725},{22,46,218},{12,25,201},{12,13,6},{28,31,29},{12,47,42},{11,0,723},{24,29,203},{40,31,4},{6,46,209},{5,8,723},
{6,46,209},{26,41,208},{26,41,208},{26,41,208},{26,47,208},{40,11,168},{40,31,8},{40,31,8},{40,14,22},{6,31,163},{38,30,10},{12,13,2},{12,13,2},{12,13,2},{12,46,2},{29,2,162},{10,47,2},{10,47,2},{22,30,9},{35,6,162},{22,30,9},{41,2,200},{42,13,4},{44,31,1},{40,31,0},{41,2,200},{17,8,200},{40,31,0},{0,46,208},{17,8,200},{0,46,208},{26,0,208},
{26,0,208},{26,0,208},{26,0,208},{40,15,4},{40,15,4},{40,15,4},{40,44,5},{38,30,1},{38,30,1},{12,7,404},{12,27,212},{12,45,332},{12,15,215},{26,23,724},{26,13,216},{26,15,8},{26,47,318},{6,43,723},{8,47,227},{44,9,206},{44,13,8},{44,45,22},{28,15,38},{24,3,723},{10,13,202},{26,15,8},{6,31,209},{3,24,723},{6,31,209},{12,41,202},{12,41,202},{12,41,202},
{12,31,203},{26,11,162},{26,15,4},{26,15,4},{26,46,25},{38,15,162},{24,46,4},{44,13,4},{44,13,4},{44,13,4},{44,47,5},{43,2,162},{26,15,4},{26,15,4},{24,46,0},{21,8,162},{24,46,0},{29,12,200},{28,43,2},{14,15,8},{26,15,4},{29,12,200},{26,13,200},{26,15,4},{0,31,208},{26,13,200},{0,31,208},{12,0,202},{12,0,202},{12,0,202},{12,0,202},{26,45,0},
{26,45,0},{26,45,0},{26,14,4},{24,46,4},{24,46,4},{28,5,402},{28,41,222},{44,13,332},{28,29,218},{42,21,727},{42,43,213},{42,29,8},{42,31,340},{38,27,724},{24,15,217},{14,23,201},{14,27,3},{30,29,29},{14,45,42},{9,2,723},{26,27,201},{42,29,4},{22,15,201},{2,9,723},{22,15,201},{28,9,202},{28,9,202},{28,9,202},{28,45,203},{42,9,168},{42,29,8},{42,29,8},
{42,47,21},{8,29,163},{40,47,2},{14,11,2},{14,11,2},{14,11,2},{14,15,2},{38,1,162},{12,45,2},{12,45,2},{10,47,2},{43,28,162},{10,47,2},{37,0,200},{14,27,2},{46,29,1},{42,29,0},{37,0,200},{36,9,200},{42,29,0},{0,15,200},{36,9,200},{0,15,200},{28,0,202},{28,0,202},{28,0,202},{28,0,202},{42,13,4},{42,13,4},{42,13,4},{42,46,5},{40,47,1},
{40,47,1},{14,35,400},{14,25,217},{30,43,340},{14,13,213},{28,5,723},{28,11,209},{28,43,8},{12,45,332},{8,41,724},{40,29,222},{46,7,201},{46,41,2},{46,43,21},{30,13,41},{37,0,723},{12,41,203},{28,43,8},{8,29,202},{36,9,723},{8,29,202},{14,23,201},{14,23,201},{14,23,201},{14,13,204},{28,9,162},{28,43,4},{28,43,4},{28,31,29},{40,13,164},{26,15,3},{46,11,2},
{46,11,2},{46,11,2},{46,29,5},{39,0,162},{44,13,2},{44,13,2},{10,15,2},{9,28,162},{10,15,2},{21,2,200},{46,41,1},{47,43,5},{12,43,4},{21,2,200},{24,9,200},{12,43,4},{0,29,202},{24,9,200},{0,29,202},{14,0,200},{14,0,200},{14,0,200},{14,0,200},{28,43,0},{28,43,0},{28,43,0},{28,47,1},{26,15,2},{26,15,2},{30,3,410},{46,9,227},{46,27,318},
{30,27,224},{14,5,728},{44,25,215},{14,27,8},{44,13,332},{40,25,725},{26,13,212},{47,21,200},{47,25,4},{47,27,25},{47,43,52},{5,0,723},{28,25,203},{14,27,4},{40,13,202},{0,5,723},{40,13,202},{30,7,209},{30,7,209},{30,7,209},{30,43,208},{14,39,166},{14,27,8},{14,27,8},{44,45,22},{10,27,163},{12,45,8},{47,25,0},{47,25,0},{47,25,0},{47,13,0},{23,2,162},
{14,27,4},{14,27,4},{12,45,4},{20,9,162},{12,45,4},{35,2,200},{47,25,4},{15,27,4},{44,27,0},{35,2,200},{34,5,200},{44,27,0},{0,13,202},{34,5,200},{0,13,202},{30,0,208},{30,0,208},{30,0,208},{30,0,208},{14,27,4},{14,27,4},{14,27,4},{14,15,8},{42,29,2},{42,29,2},{47,3,408},{47,23,218},{47,41,312},{47,11,226},{30,3,723},{30,9,209},{30,41,8},
{14,43,332},{10,39,723},{12,43,236},{15,21,209},{31,39,10},{15,41,22},{31,11,43},{30,3,723},{44,39,204},{30,41,8},{40,27,208},{42,9,723},{40,27,208},{47,7,209},{47,7,209},{47,7,209},{47,27,208},{30,7,162},{30,41,4},{30,41,4},{30,29,29},{42,11,164},{12,13,6},{31,23,9},{31,23,9},{31,23,9},{31,27,10},{37,2,162},{46,11,2},{46,11,2},{12,13,2},{34,7,162},
{12,13,2},{46,1,200},{31,39,1},{45,41,5},{14,41,4},{46,1,200},{26,7,200},{14,41,4},{0,27,208},{26,7,200},{0,27,208},{47,0,208},{47,0,208},{47,0,208},{47,0,208},{30,41,0},{30,41,0},{30,41,0},{30,45,1},{12,43,4},{12,43,4},{31,1,402},{31,37,222},{15,9,324},{31,25,218},{46,17,733},{46,23,215},{46,25,18},{46,27,330},{42,23,725},{28,11,219},{45,19,202},
{45,23,4},{45,25,25},{45,41,52},{3,2,723},{30,23,203},{47,25,8},{42,11,202},{2,3,723},{42,11,202},{31,5,202},{31,5,202},{31,5,202},{31,41,202},{46,5,173},{46,25,18},{46,25,18},{46,43,22},{12,25,163},{14,43,8},{45,23,0},{45,23,0},{45,23,0},{45,11,0},{44,1,162},{47,41,4},{47,41,4},{14,43,4},{26,9,162},{14,43,4},{31,1,200},{45,23,4},{13,25,4},
{46,25,0},{31,1,200},{32,1,200},{46,25,0},{0,11,202},{32,1,200},{0,11,202},{31,0,202},{31,0,202},{31,0,202},{31,0,202},{46,9,10},{46,9,10},{46,9,10},{46,13,9},{28,27,4},{28,27,4},{45,1,404},{45,21,218},{29,39,325},{45,9,222},{31,1,723},{31,7,209},{31,39,13},{47,41,324},{12,37,725},{44,25,227},{13,3,206},{13,37,9},{13,39,17},{29,9,48},{31,1,723},
{47,7,208},{31,39,13},{12,25,202},{32,1,723},{12,25,202},{45,35,202},{45,35,202},{45,35,202},{45,25,203},{31,5,162},{31,9,8},{31,9,8},{31,27,29},{14,9,166},{30,11,1},{13,7,4},{13,7,4},{13,7,4},{13,25,8},{31,5,162},{15,9,4},{15,9,4},{30,11,0},{14,9,162},{30,11,0},{17,6,200},{29,21,4},{43,39,4},{46,39,5},{17,6,200},{20,1,200},{46,39,5},
{0,25,202},{20,1,200},{0,25,202},{45,0,202},{45,0,202},{45,0,202},{45,0,202},{31,39,0},{31,39,0},{31,39,0},{31,27,4},{30,11,1},{30,11,1},{13,1,440},{29,35,234},{13,7,321},{29,23,218},{45,1,732},{15,21,215},{45,23,12},{15,9,312},{44,21,731},{30,9,221},{43,17,201},{43,5,6},{27,23,30},{43,39,46},{45,1,723},{31,21,203},{45,23,3},{14,9,209},{27,9,723},
{14,9,209},{29,33,208},{29,33,208},{29,33,208},{29,39,208},{15,3,168},{45,23,11},{45,23,11},{15,41,22},{14,23,168},{46,25,10},{43,5,2},{43,5,2},{43,5,2},{43,9,2},{17,2,162},{45,23,2},{45,23,2},{30,25,10},{16,1,162},{30,25,10},{27,3,200},{13,5,4},{11,23,2},{15,23,1},{27,3,200},{39,9,200},{15,23,1},{0,9,208},{39,9,200},{0,9,208},{29,0,208},
{29,0,208},{29,0,208},{29,0,208},{15,7,5},{15,7,5},{15,7,5},{15,11,4},{46,25,1},{46,25,1},{43,1,500},{43,19,212},{43,37,327},{43,7,220},{13,1,760},{29,5,209},{29,37,13},{45,39,321},{14,35,724},{46,23,227},{11,1,206},{11,35,9},{11,37,17},{27,7,43},{33,10,723},{15,35,204},{29,37,13},{14,23,202},{38,1,723},{14,23,202},{43,33,202},{43,33,202},{43,33,202},
{43,23,203},{29,3,162},{29,7,5},{29,7,5},{29,25,29},{46,7,165},{31,9,4},{11,5,4},{11,5,4},{11,5,4},{11,39,5},{29,3,162},{13,7,5},{13,7,5},{31,9,0},{43,9,162},{31,9,0},{39,7,200},{27,35,2},{41,37,4},{15,37,5},{39,7,200},{26,1,200},{15,37,5},{0,23,202},{26,1,200},{0,23,202},{43,0,202},{43,0,202},{43,0,202},{43,0,202},{29,37,0},
{29,37,0},{29,37,0},{29,25,4},{31,9,4},{31,9,4},{11,1,530},{27,33,222},{11,5,321},{27,21,219},{27,1,812},{13,19,215},{13,21,9},{13,7,327},{46,19,724},{31,7,219},{25,1,225},{41,3,6},{25,21,30},{41,37,46},{41,3,723},{29,19,203},{13,21,5},{46,7,202},{21,9,723},{46,7,202},{27,1,203},{27,1,203},{27,1,203},{27,37,202},{13,1,168},{13,21,8},{13,21,8},
{13,39,24},{47,21,163},{15,39,8},{41,3,2},{41,3,2},{41,3,2},{41,7,1},{39,11,162},{13,21,4},{13,21,4},{45,39,4},{22,1,162},{45,39,4},{25,1,200},{11,3,4},{9,21,2},{13,21,1},{25,1,200},{33,9,200},{13,21,1},{0,7,202},{33,9,200},{0,7,202},{27,0,202},{27,0,202},{27,0,202},{27,0,202},{13,5,4},{13,5,4},{13,5,4},{13,9,4},{15,39,4},
{15,39,4},{25,1,634},{41,17,216},{25,35,337},{41,5,220},{41,1,863},{27,3,211},{27,35,5},{27,37,331},{47,33,725},{15,21,220},{9,1,251},{9,33,2},{9,35,18},{25,5,48},{25,1,723},{43,33,203},{27,35,5},{47,21,200},{33,9,723},{47,21,200},{41,1,209},{41,1,209},{41,1,209},{41,5,204},{27,1,164},{27,35,4},{27,35,4},{27,7,36},{15,5,164},{29,7,1},{9,3,2},
{9,3,2},{9,3,2},{9,21,2},{25,5,162},{11,5,1},{11,5,1},{29,7,0},{10,1,162},{29,7,0},{23,17,200},{9,33,1},{39,35,1},{43,35,1},{23,17,200},{45,17,200},{43,35,1},{0,21,200},{45,17,200},{0,21,200},{41,0,200},{41,0,200},{41,0,200},{41,0,200},{27,35,0},{27,35,0},{27,35,0},{27,23,4},{29,7,1},{29,7,1},{39,1,724},{9,1,228},{9,3,315},
{25,19,218},{9,1,932},{11,17,213},{41,19,6},{11,5,317},{15,17,725},{29,5,221},{23,1,288},{39,1,3},{23,19,26},{39,19,51},{39,1,723},{27,17,203},{41,19,2},{15,5,208},{31,1,723},{15,5,208},{9,1,227},{9,1,227},{9,1,227},{25,35,209},{41,1,174},{41,19,5},{41,19,5},{11,37,27},{45,19,163},{13,21,6},{39,1,2},{39,1,2},{39,1,2},{39,5,2},{9,3,162},
{41,19,1},{41,19,1},{13,21,5},{31,3,162},{13,21,5},{21,3,200},{39,1,2},{7,19,2},{11,19,1},{21,3,200},{43,1,200},{11,19,1},{0,5,208},{43,1,200},{0,5,208},{25,0,208},{25,0,208},{25,0,208},{25,0,208},{41,19,4},{41,19,4},{41,19,4},{41,7,5},{13,21,2},{13,21,2},{23,1,864},{39,1,300},{39,33,324},{39,3,222},{39,1,1020},{25,1,211},{25,33,5},
{25,35,331},{29,1,732},{13,19,222},{37,1,347},{7,1,13},{7,33,21},{23,3,48},{1,13,723},{25,1,211},{25,33,5},{15,19,203},{13,1,723},{15,19,203},{39,1,251},{39,1,251},{39,1,251},{39,19,203},{9,1,195},{25,33,4},{25,33,4},{25,5,36},{13,3,164},{27,5,5},{7,1,4},{7,1,4},{7,1,4},{7,35,8},{23,3,162},{9,3,1},{9,3,1},{27,5,1},{43,3,162},
{27,5,1},{17,39,200},{7,1,9},{37,33,1},{41,33,1},{17,39,200},{39,17,200},{41,33,1},{0,19,202},{39,17,200},{0,19,202},{39,0,202},{39,0,202},{39,0,202},{39,0,202},{25,33,0},{25,33,0},{25,33,0},{25,21,4},{43,35,4},{43,35,4},{37,1,1012},{7,1,417},{7,1,312},{23,17,218},{7,1,1144},{39,1,268},{39,17,15},{9,3,317},{27,1,804},{27,3,218},{5,1,398},
{21,1,81},{21,17,26},{37,17,51},{35,3,723},{23,1,254},{39,17,6},{13,3,208},{25,1,723},{13,3,208},{7,1,296},{7,1,296},{7,1,296},{23,33,209},{39,1,243},{39,17,14},{39,17,14},{9,35,27},{43,17,163},{27,19,13},{21,1,17},{21,1,17},{21,1,17},{37,3,1},{3,25,162},{39,17,5},{39,17,5},{27,19,9},{29,1,162},{27,19,9},{19,1,200},{5,1,45},{5,17,2},
{9,17,1},{19,1,200},{37,1,200},{9,17,1},{0,3,208},{37,1,200},{0,3,208},{23,0,208},{23,0,208},{23,0,208},{23,0,208},{9,1,10},{9,1,10},{9,1,10},{9,5,9},{27,19,4},{27,19,4},{5,1,919},{21,1,494},{21,1,350},{37,1,201},{21,1,1014},{7,1,251},{23,1,14},{23,33,202},{9,1,721},{41,33,139},{19,1,341},{35,1,109},{5,1,37},{5,1,26},{3,3,546},
{37,1,213},{7,1,1},{43,17,125},{3,3,546},{43,17,125},{21,1,350},{21,1,350},{21,1,350},{37,1,201},{37,1,312},{23,1,14},{23,1,14},{23,3,27},{41,1,168},{25,3,2},{5,1,37},{5,1,37},{5,1,37},{5,17,5},{19,5,162},{7,1,1},{7,1,1},{25,3,1},{37,3,162},{25,3,1},{33,1,113},{19,1,37},{19,1,1},{7,1,0},{33,1,113},{35,1,113},{7,1,0},
{0,17,125},{35,1,113},{0,17,125},{37,0,200},{37,0,200},{37,0,200},{37,0,200},{23,1,10},{23,1,10},{23,1,10},{23,19,5},{25,3,1},{25,3,1},{35,1,773},{35,1,513},{5,1,414},{5,1,227},{35,1,818},{21,1,218},{37,1,69},{7,17,74},{23,1,534},{9,17,30},{3,1,190},{19,1,101},{19,1,65},{35,1,5},{33,33,333},{35,1,114},{5,1,25},{9,17,30},{33,33,333},
{9,17,30},{5,1,414},{5,1,414},{5,1,414},{5,1,227},{21,1,373},{37,1,69},{37,1,69},{7,33,29},{9,1,216},{9,17,5},{19,1,65},{19,1,65},{19,1,65},{35,1,5},{3,3,162},{5,1,25},{5,1,25},{9,17,5},{3,3,162},{9,17,5},{17,1,25},{33,1,9},{33,1,0},{19,1,1},{17,1,25},{33,1,25},{19,1,1},{0,17,29},{33,1,25},{0,17,29},{5,0,218},
{5,0,218},{5,0,218},{5,0,218},{37,1,20},{37,1,20},{37,1,20},{37,3,5},{9,17,1},{9,17,1},{3,1,642},{19,1,504},{19,1,468},{35,1,264},{19,1,657},{35,1,229},{5,1,141},{21,1,26},{21,1,457},{23,1,1},{33,1,134},{33,1,94},{33,1,85},{3,1,26},{1,19,193},{19,1,81},{19,1,45},{23,1,0},{19,1,193},{23,1,0},{19,1,468},{19,1,468},{19,1,468},
{35,1,264},{35,1,425},{5,1,141},{5,1,141},{21,1,26},{7,1,254},{23,1,1},{33,1,85},{33,1,85},{33,1,85},{3,1,26},{17,3,145},{19,1,45},{19,1,45},{23,1,0},{35,1,145},{23,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{35,0,200},{35,0,200},{35,0,200},{35,0,200},{5,1,41},
{5,1,41},{5,1,41},{21,17,5},{23,1,1},{23,1,1},{3,1,418},{3,1,343},{3,1,318},{3,1,243},{3,1,370},{19,1,161},{19,1,125},{35,1,5},{35,1,250},{21,1,25},{17,1,34},{17,1,26},{17,1,25},{33,1,13},{17,1,54},{33,1,22},{33,1,13},{5,1,1},{33,1,54},{5,1,1},{3,1,318},{3,1,318},{3,1,318},{3,1,243},{3,1,270},{19,1,125},{19,1,125},
{35,1,5},{5,1,165},{21,1,25},{17,1,25},{17,1,25},{17,1,25},{33,1,13},{1,3,41},{33,1,13},{33,1,13},{5,1,1},{3,1,41},{5,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{19,0,208},{19,0,208},{19,0,208},{19,0,208},{35,1,85},{35,1,85},{35,1,85},{35,1,5},{21,1,25},
{21,1,25},{0,26,421},{0,38,45},{0,36,2},{0,20,160},{0,38,926},{0,20,577},{0,4,264},{0,18,701},{0,34,989},{0,18,737},{0,26,421},{0,38,45},{0,36,2},{0,20,160},{34,0,925},{0,20,577},{0,4,264},{0,18,701},{0,34,925},{0,18,701},{0,20,1},{0,20,1},{0,20,1},{0,18,1},{0,18,85},{0,2,34},{0,2,34},{0,32,53},{0,32,94},{0,32,62},{0,20,1},
{0,20,1},{0,20,1},{0,18,1},{32,0,85},{0,2,34},{0,2,34},{0,32,53},{18,0,85},{0,32,53},{34,4,421},{0,38,45},{0,36,2},{0,20,160},{34,4,421},{26,0,421},{0,20,160},{0,34,421},{26,0,421},{0,34,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,44,421},{0,24,13},{0,22,32},
{0,36,113},{0,24,1262},{0,6,670},{0,20,304},{0,4,886},{0,4,1382},{0,34,953},{0,44,421},{0,24,13},{0,22,32},{0,36,113},{18,4,1261},{0,6,670},{0,20,304},{0,4,886},{36,2,1261},{0,4,886},{0,8,0},{0,8,0},{0,8,0},{0,4,0},{0,4,221},{0,34,73},{0,34,73},{0,2,125},{0,2,246},{0,2,150},{0,8,0},{0,8,0},{0,8,0},{0,4,0},{2,0,221},
{0,34,73},{0,34,73},{0,2,125},{4,0,221},{0,2,125},{22,0,421},{0,24,13},{16,6,8},{0,36,113},{22,0,421},{44,0,421},{0,36,113},{0,20,433},{44,0,421},{0,20,433},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,31,430},{0,26,10},{16,38,79},{0,22,74},{0,42,1514},{0,38,717},{0,6,253},
{0,20,965},{0,36,1713},{0,4,1109},{16,46,425},{16,10,9},{16,38,54},{0,22,74},{20,2,1514},{0,38,717},{0,6,253},{0,20,965},{42,0,1514},{0,20,965},{0,26,10},{0,26,10},{0,26,10},{0,36,9},{0,6,340},{0,20,97},{0,20,97},{0,18,185},{0,18,382},{0,18,221},{16,10,5},{16,10,5},{16,10,5},{16,36,5},{2,2,338},{0,20,97},{0,20,97},{0,18,185},{2,2,338},
{0,18,185},{8,0,421},{0,26,1},{2,38,2},{0,22,65},{8,0,421},{31,0,421},{0,22,65},{0,36,421},{31,0,421},{0,36,421},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,32,0},{0,32,0},{0,32,0},{0,16,0},{0,16,1},{0,16,1},{16,45,482},{16,12,66},{32,24,186},{16,8,126},{0,14,1517},{0,24,605},{0,38,117},{0,6,886},{0,22,1815},{0,36,1085},{32,31,421},
{32,42,1},{2,8,51},{32,38,85},{22,16,1514},{0,24,605},{0,38,117},{0,6,886},{44,16,1514},{0,6,886},{16,28,61},{16,28,61},{16,28,61},{16,22,62},{0,24,340},{0,22,37},{0,22,37},{0,4,125},{0,4,456},{0,34,213},{32,42,0},{32,42,0},{32,42,0},{32,6,1},{18,4,338},{0,22,37},{0,22,37},{0,4,125},{36,2,338},{0,4,125},{40,0,421},{32,42,1},{18,8,5},
{0,8,37},{40,0,421},{13,0,421},{0,8,37},{0,22,433},{13,0,421},{0,22,433},{16,0,61},{16,0,61},{16,0,61},{16,0,61},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,32,25},{0,32,25},{32,43,623},{32,44,219},{32,10,382},{32,24,243},{0,15,1517},{0,26,497},{0,24,35},{0,22,761},{0,8,2003},{0,22,1050},{18,15,422},{18,28,6},{18,40,51},{2,24,77},{24,0,1514},
{0,26,497},{0,24,35},{0,22,761},{32,8,1514},{0,22,761},{32,30,202},{32,30,202},{32,30,202},{32,8,203},{0,28,338},{0,8,10},{0,8,10},{0,20,89},{0,6,565},{0,20,233},{18,12,1},{18,12,1},{18,12,1},{18,38,1},{2,24,338},{0,8,10},{0,8,10},{0,20,89},{28,0,338},{0,20,89},{40,4,421},{2,28,5},{4,40,1},{0,24,26},{40,4,421},{25,0,421},{0,24,26},
{0,38,425},{25,0,421},{0,38,425},{32,0,202},{32,0,202},{32,0,202},{32,0,202},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,34,68},{0,34,68},{2,11,821},{2,30,429},{2,26,634},{2,10,429},{0,27,1514},{0,28,446},{0,10,8},{0,8,670},{0,40,2187},{0,38,1083},{34,29,422},{34,14,6},{4,26,50},{34,10,86},{38,6,1514},{0,28,446},{0,10,8},{0,8,670},{27,0,1514},
{0,8,670},{2,31,401},{2,31,401},{2,31,401},{2,24,404},{0,46,340},{0,10,4},{0,10,4},{0,6,52},{0,22,677},{0,6,277},{34,14,2},{34,14,2},{34,14,2},{34,8,5},{22,2,338},{0,10,4},{0,10,4},{0,6,52},{42,2,338},{0,6,52},{28,0,421},{34,14,5},{36,10,5},{0,10,4},{28,0,421},{7,0,421},{0,10,4},{0,24,425},{7,0,421},{0,24,425},{2,0,400},
{2,0,400},{2,0,400},{2,0,400},{0,26,0},{0,26,0},{0,26,0},{0,36,1},{0,4,149},{0,4,149},{18,9,842},{18,47,462},{34,12,661},{18,26,450},{16,25,1521},{16,14,441},{16,42,15},{16,24,653},{0,26,2030},{0,24,882},{20,13,425},{20,30,9},{20,42,54},{4,26,77},{26,2,1514},{0,14,422},{16,42,11},{0,24,626},{38,8,1514},{0,24,626},{18,45,421},{18,45,421},{18,45,421},
{18,10,422},{16,15,344},{16,42,14},{16,42,14},{16,38,38},{0,24,602},{0,38,162},{20,14,4},{20,14,4},{20,14,4},{20,40,5},{8,2,338},{32,26,2},{32,26,2},{0,38,18},{30,2,338},{0,38,18},{14,0,421},{4,30,5},{6,42,1},{0,42,1},{14,0,421},{19,0,421},{0,42,1},{0,40,421},{19,0,421},{0,40,421},{18,0,421},{18,0,421},{18,0,421},{18,0,421},{16,12,5},
{16,12,5},{16,12,5},{16,6,8},{0,6,80},{0,6,80},{4,9,854},{4,31,458},{4,28,674},{34,12,453},{2,25,1515},{32,30,445},{2,12,9},{32,10,657},{0,28,1850},{0,10,666},{36,27,422},{36,46,6},{6,28,48},{36,12,86},{16,7,1514},{16,46,421},{2,12,8},{0,10,545},{21,0,1514},{0,10,545},{34,13,433},{34,13,433},{34,13,433},{34,42,433},{2,15,339},{2,12,5},{2,12,5},
{32,8,50},{0,10,477},{0,8,62},{36,46,2},{36,46,2},{36,46,2},{36,10,5},{24,4,338},{2,12,4},{2,12,4},{0,24,9},{11,0,338},{0,24,9},{0,1,421},{36,46,5},{38,12,5},{2,12,4},{0,1,421},{1,0,421},{2,12,4},{0,26,425},{1,0,421},{0,26,425},{4,0,433},{4,0,433},{4,0,433},{4,0,433},{2,28,1},{2,28,1},{2,28,1},{2,38,2},{0,8,37},
{0,8,37},{20,7,842},{20,45,455},{36,14,655},{20,28,450},{34,9,1523},{18,47,450},{34,44,13},{18,42,659},{0,14,1731},{0,42,542},{22,11,422},{22,47,5},{22,44,50},{6,28,86},{30,0,1514},{2,47,421},{34,44,4},{0,42,506},{33,0,1514},{0,42,506},{20,43,421},{20,43,421},{20,43,421},{20,12,425},{18,13,347},{34,28,11},{34,28,11},{18,40,43},{0,12,389},{0,10,9},{22,47,1},
{22,47,1},{22,47,1},{22,42,1},{38,10,338},{34,28,2},{34,28,2},{0,10,5},{23,0,338},{0,10,5},{2,1,421},{22,47,4},{8,44,0},{18,44,0},{2,1,421},{1,2,421},{18,44,0},{0,42,425},{1,2,421},{0,42,425},{20,0,421},{20,0,421},{20,0,421},{20,0,421},{18,30,9},{18,30,9},{18,30,9},{34,8,10},{0,10,5},{0,10,5},{6,37,846},{6,29,454},{6,46,685},
{6,14,459},{4,7,1517},{4,31,446},{4,14,19},{34,12,655},{0,47,1635},{0,12,478},{38,9,425},{38,15,6},{8,30,41},{38,14,77},{47,0,1514},{18,15,422},{20,14,11},{0,12,477},{27,6,1514},{0,12,477},{6,27,426},{6,27,426},{6,27,426},{6,44,426},{4,13,340},{4,14,10},{4,14,10},{4,26,50},{0,44,355},{16,26,6},{38,15,5},{38,15,5},{38,15,5},{38,28,5},{28,2,338},
{20,14,2},{20,14,2},{32,26,1},{42,8,338},{32,26,1},{29,0,421},{38,15,2},{40,14,10},{18,30,9},{29,0,421},{33,4,421},{18,30,9},{0,28,425},{33,4,421},{0,28,425},{6,0,425},{6,0,425},{6,0,425},{6,0,425},{4,30,1},{4,30,1},{4,30,1},{4,40,0},{16,26,5},{16,26,5},{22,5,842},{22,43,455},{38,47,679},{22,30,455},{20,21,1521},{20,15,438},{36,46,13},
{20,28,653},{0,15,1553},{16,44,454},{24,9,422},{24,45,5},{24,46,50},{8,30,77},{34,3,1514},{4,45,422},{36,46,4},{0,44,434},{35,4,1514},{0,44,434},{22,41,421},{22,41,421},{22,41,421},{22,14,422},{20,11,342},{36,30,11},{36,30,11},{20,42,38},{0,46,340},{32,12,5},{24,45,1},{24,45,1},{24,45,1},{24,44,1},{16,3,338},{36,30,2},{36,30,2},{32,12,4},{17,0,338},
{32,12,4},{43,0,421},{24,45,4},{10,46,0},{4,46,1},{43,0,421},{19,6,421},{4,46,1},{0,44,425},{19,6,421},{0,44,425},{22,0,421},{22,0,421},{22,0,421},{22,0,421},{20,31,5},{20,31,5},{20,31,5},{20,26,5},{32,12,1},{32,12,1},{8,5,854},{8,27,458},{24,31,670},{38,47,462},{6,5,1517},{6,29,446},{6,47,6},{36,14,655},{0,29,1530},{32,30,465},{40,23,422},
{40,13,2},{10,31,48},{40,46,90},{45,2,1514},{20,13,425},{6,47,6},{0,30,434},{25,8,1514},{0,30,434},{8,25,434},{8,25,434},{8,25,434},{8,30,437},{6,11,340},{6,47,5},{6,47,5},{6,12,52},{16,47,342},{18,28,1},{40,13,1},{40,13,1},{40,13,1},{40,14,5},{30,4,338},{22,46,4},{22,46,4},{18,28,1},{15,8,338},{18,28,1},{11,0,421},{40,13,1},{26,47,5},
{6,47,2},{11,0,421},{5,8,421},{6,47,2},{0,30,425},{5,8,421},{0,30,425},{8,0,433},{8,0,433},{8,0,433},{8,0,433},{6,31,0},{6,31,0},{6,31,0},{6,42,0},{18,28,1},{18,28,1},{24,33,846},{24,41,465},{40,15,658},{24,31,454},{38,5,1518},{22,13,446},{38,15,14},{22,46,667},{0,27,1518},{18,46,453},{26,7,421},{26,27,2},{42,15,53},{10,31,86},{27,0,1514},
{6,43,425},{38,15,10},{16,46,434},{37,8,1514},{16,46,434},{24,23,426},{24,23,426},{24,23,426},{24,47,426},{38,25,344},{38,31,9},{38,31,9},{22,44,41},{18,31,341},{4,14,2},{26,27,1},{26,27,1},{26,27,1},{26,46,1},{45,0,338},{8,31,5},{8,31,5},{4,14,1},{27,8,338},{4,14,1},{8,1,421},{26,27,2},{12,15,1},{6,15,2},{8,1,421},{1,8,421},{6,15,2},
{0,46,433},{1,8,421},{0,46,433},{24,0,425},{24,0,425},{24,0,425},{24,0,425},{38,15,4},{38,15,4},{38,15,4},{38,12,8},{4,14,1},{4,14,1},{10,33,846},{10,25,454},{26,29,658},{10,45,454},{8,3,1517},{8,27,446},{8,45,8},{38,47,650},{32,11,1518},{4,47,462},{42,5,425},{42,11,9},{12,29,43},{42,15,89},{28,13,1514},{22,11,422},{8,45,8},{16,31,426},{27,12,1514},
{16,31,426},{10,23,425},{10,23,425},{10,23,425},{10,15,429},{8,9,340},{8,45,4},{8,45,4},{8,30,50},{34,45,341},{20,30,6},{42,11,5},{42,11,5},{42,11,5},{42,31,8},{29,2,338},{8,45,4},{8,45,4},{36,30,1},{35,6,338},{36,30,1},{23,0,421},{12,11,4},{44,45,5},{8,45,4},{23,0,421},{18,9,421},{8,45,4},{0,31,425},{18,9,421},{0,31,425},{10,0,425},
{10,0,425},{10,0,425},{10,0,425},{8,13,1},{8,13,1},{8,13,1},{8,44,0},{20,30,5},{20,30,5},{26,1,846},{26,39,470},{42,13,658},{26,29,454},{40,3,1523},{24,11,446},{24,13,20},{24,31,658},{2,25,1521},{20,15,458},{28,5,422},{28,25,6},{28,13,51},{12,29,86},{40,3,1514},{8,41,421},{24,13,11},{18,15,421},{16,9,1514},{18,15,421},{26,21,426},{26,21,426},{26,21,426},
{26,45,426},{24,7,347},{40,29,11},{40,29,11},{24,46,41},{20,29,342},{36,47,10},{28,41,1},{28,41,1},{28,41,1},{28,15,2},{43,2,338},{40,29,2},{40,29,2},{36,47,9},{21,8,338},{36,47,9},{37,0,421},{12,25,5},{14,13,1},{8,13,2},{37,0,421},{32,7,421},{8,13,2},{0,15,421},{32,7,421},{0,15,421},{26,0,425},{26,0,425},{26,0,425},{26,0,425},{24,27,9},
{24,27,9},{24,27,9},{40,14,10},{36,47,1},{36,47,1},{12,1,850},{12,23,454},{12,27,666},{12,43,454},{10,1,1517},{10,25,446},{10,43,8},{40,45,666},{34,9,1515},{6,45,462},{44,3,425},{44,9,9},{14,27,50},{44,13,89},{39,2,1514},{24,9,422},{10,43,8},{18,29,426},{34,9,1514},{18,29,426},{12,21,425},{12,21,425},{12,21,425},{12,13,429},{10,7,340},{10,43,4},{10,43,4},
{10,47,50},{36,43,341},{22,31,1},{44,9,5},{44,9,5},{44,9,5},{44,29,8},{38,1,338},{26,13,4},{26,13,4},{22,31,1},{43,28,338},{22,31,1},{5,0,421},{14,9,4},{46,43,5},{10,43,4},{5,0,421},{0,5,421},{10,43,4},{0,29,425},{0,5,421},{0,29,425},{12,0,425},{12,0,425},{12,0,425},{12,0,425},{10,27,0},{10,27,0},{10,27,0},{10,46,0},{22,31,1},
{22,31,1},{44,1,890},{44,7,462},{44,41,666},{28,27,454},{42,1,1518},{26,39,446},{42,11,8},{26,13,666},{4,23,1523},{22,13,454},{30,33,421},{30,23,1},{46,11,50},{30,27,89},{21,0,1514},{40,23,425},{42,11,4},{20,13,425},{18,7,1514},{20,13,425},{28,19,426},{28,19,426},{28,19,426},{28,27,429},{42,21,344},{42,11,8},{42,11,8},{26,15,50},{6,11,341},{8,45,9},{30,23,1},
{30,23,1},{30,23,1},{30,13,0},{39,0,338},{42,11,4},{42,11,4},{8,45,5},{9,28,338},{8,45,5},{14,1,421},{30,23,1},{47,11,0},{26,11,0},{14,1,421},{4,5,421},{26,11,0},{0,13,425},{4,5,421},{0,13,425},{28,0,425},{28,0,425},{28,0,425},{28,0,425},{42,11,4},{42,11,4},{42,11,4},{42,47,5},{8,15,4},{8,15,4},{30,1,950},{14,21,458},{30,25,658},
{14,41,446},{28,1,1542},{12,23,438},{12,25,20},{12,43,658},{36,7,1518},{38,27,470},{46,1,430},{46,37,10},{47,25,41},{46,41,82},{14,3,1514},{26,7,422},{28,41,11},{20,27,426},{32,5,1514},{20,27,426},{14,19,421},{14,19,421},{14,19,421},{14,11,422},{12,35,339},{12,25,11},{12,25,11},{12,29,51},{38,41,338},{24,29,6},{46,37,9},{46,37,9},{46,37,9},{46,27,10},{23,2,338},
{28,41,2},{28,41,2},{40,29,1},{20,9,338},{40,29,1},{17,0,421},{46,37,1},{31,25,10},{26,25,9},{17,0,421},{18,3,421},{26,25,9},{0,27,425},{18,3,421},{0,27,425},{14,0,421},{14,0,421},{14,0,421},{14,0,421},{12,9,2},{12,9,2},{12,9,2},{12,15,1},{24,13,5},{24,13,5},{46,1,1010},{46,5,462},{46,39,650},{30,25,454},{14,1,1575},{28,7,446},{44,9,8},
{28,27,658},{6,21,1523},{24,11,454},{31,1,422},{31,21,6},{31,9,50},{47,25,77},{46,3,1514},{42,21,425},{44,9,4},{22,11,425},{16,3,1514},{22,11,425},{30,17,426},{30,17,426},{30,17,426},{30,25,429},{44,19,344},{44,9,8},{44,9,8},{28,13,43},{8,9,340},{10,43,9},{31,37,1},{31,37,1},{31,37,1},{31,11,2},{37,2,338},{44,9,4},{44,9,4},{10,43,5},{34,7,338},
{10,43,5},{31,1,421},{31,21,5},{45,9,0},{12,9,1},{31,1,421},{32,1,421},{12,9,1},{0,11,425},{32,1,421},{0,11,425},{30,0,425},{30,0,425},{30,0,425},{30,0,425},{44,9,4},{44,9,4},{44,9,4},{44,45,5},{10,13,4},{10,13,4},{31,1,1098},{47,19,453},{47,23,667},{47,39,473},{46,1,1641},{14,21,438},{14,39,14},{14,41,658},{38,5,1518},{40,25,465},{45,1,437},
{15,5,2},{45,23,41},{15,39,86},{31,3,1514},{28,5,422},{30,39,9},{22,25,426},{34,3,1514},{22,25,426},{47,17,434},{47,17,434},{47,17,434},{47,9,437},{14,33,339},{14,39,10},{14,39,10},{14,43,53},{40,39,341},{26,27,2},{15,5,1},{15,5,1},{15,5,1},{15,25,5},{44,1,338},{30,9,5},{30,9,5},{26,27,1},{26,9,338},{26,27,1},{45,1,421},{15,5,1},{13,39,8},
{14,39,4},{45,1,421},{20,1,421},{14,39,4},{0,25,425},{20,1,421},{0,25,425},{47,0,433},{47,0,433},{47,0,433},{47,0,433},{14,7,2},{14,7,2},{14,7,2},{14,13,1},{26,27,2},{26,27,2},{45,1,1202},{31,33,465},{15,37,655},{31,7,461},{47,1,1725},{30,35,446},{46,7,6},{30,25,670},{24,19,1518},{26,9,458},{13,1,469},{29,19,1},{13,7,52},{29,23,85},{15,1,1514},
{14,35,426},{46,7,5},{24,9,434},{9,11,1514},{24,9,434},{31,1,434},{31,1,434},{31,1,434},{31,39,426},{46,17,339},{46,7,6},{46,7,6},{30,11,48},{10,7,341},{12,41,2},{29,19,1},{29,19,1},{29,19,1},{29,9,0},{31,5,338},{47,23,4},{47,23,4},{12,41,1},{14,9,338},{12,41,1},{43,1,421},{29,19,1},{43,7,0},{30,7,0},{43,1,421},{8,1,421},{30,7,0},
{0,9,433},{8,1,421},{0,9,433},{31,0,425},{31,0,425},{31,0,425},{31,0,425},{46,7,2},{46,7,2},{46,7,2},{46,27,5},{12,41,1},{12,41,1},{29,1,1346},{45,17,454},{29,21,653},{45,37,459},{45,1,1818},{47,19,446},{47,37,13},{46,39,679},{10,3,1518},{42,23,455},{27,1,526},{13,33,5},{43,21,38},{13,7,93},{27,5,1514},{30,3,425},{31,37,11},{40,23,421},{6,1,1514},
{40,23,421},{45,1,434},{45,1,434},{45,1,434},{45,7,429},{47,1,340},{47,37,4},{47,37,4},{47,25,50},{42,37,338},{44,25,5},{13,33,4},{13,33,4},{13,33,4},{13,23,5},{17,2,338},{31,37,2},{31,37,2},{44,25,1},{16,1,338},{44,25,1},{11,1,421},{13,33,1},{27,21,5},{30,21,5},{11,1,421},{26,1,421},{30,21,5},{0,23,421},{26,1,421},{0,23,421},{45,0,425},
{45,0,425},{45,0,425},{45,0,425},{47,5,1},{47,5,1},{47,5,1},{47,11,0},{44,25,4},{44,25,4},{43,1,1502},{13,1,478},{13,35,655},{29,5,461},{29,1,1926},{31,3,446},{15,5,19},{47,7,685},{26,17,1518},{28,7,454},{11,1,569},{27,17,6},{27,5,50},{43,21,97},{17,10,1514},{47,33,425},{15,5,10},{26,7,426},{24,1,1514},{26,7,426},{13,1,477},{13,1,477},{13,1,477},
{29,37,426},{15,1,355},{15,21,11},{15,21,11},{31,9,41},{12,5,341},{14,39,6},{27,33,1},{27,33,1},{27,33,1},{27,7,2},{29,3,338},{15,21,2},{15,21,2},{14,39,5},{43,9,338},{14,39,5},{25,1,421},{43,1,5},{41,5,0},{31,5,1},{25,1,421},{14,1,421},{31,5,1},{0,7,425},{14,1,421},{0,7,425},{29,0,425},{29,0,425},{29,0,425},{29,0,425},{31,19,9},
{31,19,9},{31,19,9},{31,25,10},{14,39,2},{14,39,2},{11,1,1634},{43,1,542},{43,19,659},{43,35,459},{43,1,2070},{45,17,446},{45,35,13},{15,37,655},{12,1,1518},{44,21,455},{25,1,646},{11,1,9},{41,19,43},{11,5,93},{25,3,1514},{31,1,422},{29,35,11},{42,21,421},{12,1,1514},{42,21,421},{43,1,506},{43,1,506},{43,1,506},{43,5,429},{29,1,381},{45,35,4},{45,35,4},
{45,23,50},{44,35,338},{46,23,5},{11,1,5},{11,1,5},{11,1,5},{11,21,5},{39,11,338},{29,35,2},{29,35,2},{46,23,1},{22,1,338},{46,23,1},{39,1,421},{11,1,5},{25,19,10},{31,19,9},{39,1,421},{31,1,421},{31,19,9},{0,21,421},{31,1,421},{0,21,421},{43,0,425},{43,0,425},{43,0,425},{43,0,425},{45,19,0},{45,19,0},{45,19,0},{45,9,0},{46,23,4},
{46,23,4},{25,1,1874},{11,1,666},{11,33,657},{27,3,451},{11,1,2201},{13,1,454},{13,3,9},{29,5,674},{14,1,1557},{30,5,458},{39,1,722},{9,1,62},{9,33,50},{25,19,85},{9,1,1514},{29,1,446},{13,3,5},{44,5,433},{46,1,1514},{44,5,433},{11,1,545},{11,1,545},{11,1,545},{27,19,429},{43,1,437},{13,3,8},{13,3,8},{29,7,48},{30,19,341},{47,37,6},{25,1,9},
{25,1,9},{25,1,9},{25,5,0},{25,5,338},{13,3,4},{13,3,4},{47,37,2},{10,1,338},{47,37,2},{37,1,421},{9,1,37},{39,3,2},{29,3,1},{37,1,421},{43,1,421},{29,3,1},{0,5,433},{43,1,421},{0,5,433},{27,0,425},{27,0,425},{27,0,425},{27,0,425},{13,3,4},{13,3,4},{13,3,4},{13,39,5},{46,21,5},{46,21,5},{9,1,2030},{25,1,882},{25,17,653},
{41,33,453},{9,1,2382},{27,1,546},{43,17,15},{13,35,661},{47,1,1653},{46,19,462},{7,1,837},{39,1,162},{39,17,38},{9,33,89},{19,9,1514},{27,1,521},{43,17,14},{44,19,421},{45,1,1514},{44,19,421},{25,1,626},{25,1,626},{25,1,626},{41,3,422},{11,1,488},{43,17,11},{43,17,11},{43,21,54},{46,33,340},{31,21,9},{39,1,18},{39,1,18},{39,1,18},{9,19,10},{9,3,338},
{27,33,2},{27,33,2},{15,21,4},{31,3,338},{15,21,4},{5,1,421},{7,1,80},{7,17,8},{13,17,5},{5,1,421},{9,1,421},{13,17,5},{0,19,421},{9,1,421},{0,19,421},{41,0,421},{41,0,421},{41,0,421},{41,0,421},{43,1,1},{43,1,1},{43,1,1},{43,7,1},{31,5,5},{31,5,5},{23,1,2201},{39,1,1083},{9,1,670},{25,1,450},{39,1,2443},{11,1,684},{11,1,8},
{27,3,634},{29,1,1751},{31,3,429},{21,1,890},{7,1,277},{7,1,52},{23,17,74},{21,17,1459},{25,1,603},{11,1,4},{30,3,401},{17,21,1459},{30,3,401},{9,1,670},{9,1,670},{9,1,670},{25,17,429},{25,1,579},{11,1,8},{11,1,8},{27,5,50},{47,1,340},{15,35,6},{7,1,52},{7,1,52},{7,1,52},{23,3,0},{23,3,338},{11,1,4},{11,1,4},{15,35,2},{43,3,338},
{15,35,2},{19,1,392},{5,1,149},{37,1,1},{27,1,0},{19,1,392},{37,1,392},{27,1,0},{0,3,400},{37,1,392},{0,3,400},{25,0,425},{25,0,425},{25,0,425},{25,0,425},{11,1,4},{11,1,4},{11,1,4},{11,37,5},{15,35,5},{15,35,5},{7,1,1901},{23,1,1050},{23,1,761},{39,1,426},{7,1,2093},{9,1,551},{25,1,35},{11,33,382},{13,1,1407},{45,33,219},{5,1,638},
{21,1,233},{21,1,89},{7,1,29},{17,39,1064},{23,1,398},{9,1,10},{31,33,202},{39,17,1064},{31,33,202},{23,1,761},{23,1,761},{23,1,761},{39,1,426},{9,1,638},{25,1,35},{25,1,35},{41,19,51},{45,1,355},{29,19,6},{21,1,89},{21,1,89},{21,1,89},{7,17,5},{3,25,338},{9,1,10},{9,1,10},{13,19,1},{29,1,338},{13,19,1},{3,1,200},{35,1,68},{5,1,1},
{9,1,1},{3,1,200},{5,1,200},{9,1,1},{0,33,202},{5,1,200},{0,33,202},{39,0,425},{39,0,425},{39,0,425},{39,0,425},{25,1,26},{25,1,26},{25,1,26},{41,5,1},{29,3,5},{29,3,5},{21,1,1606},{37,1,1085},{7,1,886},{7,1,461},{21,1,1749},{23,1,470},{39,1,117},{25,33,186},{11,1,1166},{13,17,66},{19,1,461},{35,1,213},{5,1,125},{21,1,2},{3,3,722},
{7,1,266},{23,1,37},{29,17,61},{3,3,722},{29,17,61},{7,1,886},{7,1,886},{7,1,886},{7,1,461},{23,1,770},{39,1,117},{39,1,117},{9,3,51},{43,1,426},{43,33,1},{5,1,125},{5,1,125},{5,1,125},{21,1,2},{19,5,338},{23,1,37},{23,1,37},{43,33,0},{37,3,338},{43,33,0},{1,3,61},{33,1,25},{3,1,1},{5,1,1},{1,3,61},{3,1,61},{5,1,1},
{0,17,61},{3,1,61},{0,17,61},{23,0,433},{23,0,433},{23,0,433},{23,0,433},{9,1,37},{9,1,37},{9,1,37},{9,19,5},{43,33,1},{43,33,1},{5,1,1450},{5,1,1109},{21,1,965},{37,1,542},{5,1,1505},{7,1,478},{7,1,253},{39,17,79},{9,1,1054},{27,1,10},{3,1,318},{19,1,221},{19,1,185},{35,1,29},{33,33,509},{35,1,210},{21,1,97},{27,1,10},{33,33,509},
{27,1,10},{21,1,965},{21,1,965},{21,1,965},{37,1,542},{21,1,900},{7,1,253},{7,1,253},{39,17,54},{41,1,549},{11,17,9},{19,1,185},{19,1,185},{19,1,185},{35,1,29},{3,3,338},{21,1,97},{21,1,97},{11,17,5},{3,3,338},{11,17,5},{1,17,5},{17,1,1},{17,1,0},{33,1,0},{1,17,5},{17,1,5},{33,1,0},{0,1,9},{17,1,5},{0,1,9},{37,0,421},
{37,0,421},{37,0,421},{37,0,421},{23,1,65},{23,1,65},{23,1,65},{39,3,2},{27,1,1},{27,1,1},{35,1,1213},{35,1,953},{5,1,886},{5,1,545},{35,1,1186},{21,1,448},{21,1,304},{23,1,32},{23,1,790},{25,1,13},{33,1,198},{3,1,150},{3,1,125},{19,1,36},{33,1,294},{19,1,121},{35,1,73},{9,1,0},{1,33,294},{9,1,0},{5,1,886},{5,1,886},{5,1,886},
{5,1,545},{5,1,765},{21,1,304},{21,1,304},{23,1,32},{39,1,486},{25,1,13},{3,1,125},{3,1,125},{3,1,125},{19,1,36},{3,1,221},{35,1,73},{35,1,73},{9,1,0},{5,1,221},{9,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{21,0,433},{21,0,433},{21,0,433},{21,0,433},{37,1,113},
{37,1,113},{37,1,113},{7,17,8},{25,1,13},{25,1,13},{3,1,885},{19,1,737},{19,1,701},{35,1,485},{19,1,834},{5,1,364},{5,1,264},{37,1,2},{7,1,554},{39,1,45},{17,1,82},{33,1,62},{33,1,53},{33,1,13},{1,3,114},{33,1,54},{3,1,34},{21,1,1},{3,1,114},{21,1,1},{19,1,701},{19,1,701},{19,1,701},{35,1,485},{35,1,574},{5,1,264},{5,1,264},
{37,1,2},{7,1,329},{39,1,45},{33,1,53},{33,1,53},{33,1,53},{33,1,13},{33,1,85},{3,1,34},{3,1,34},{21,1,1},{19,1,85},{21,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{35,0,421},{35,0,421},{35,0,421},{35,0,421},{21,1,160},{21,1,160},{21,1,160},{37,1,2},{39,1,45},
{39,1,45},{0,30,882},{0,10,100},{0,38,2},{0,6,340},{0,10,1896},{0,22,1189},{0,6,565},{0,4,1421},{0,20,2043},{0,4,1521},{0,30,882},{0,10,100},{0,38,2},{0,6,340},{4,2,1896},{0,22,1189},{0,6,565},{0,4,1421},{10,0,1896},{0,4,1421},{0,22,1},{0,22,1},{0,22,1},{0,34,0},{0,4,164},{0,18,52},{0,18,52},{0,32,98},{0,32,179},{0,32,107},{0,22,1},
{0,22,1},{0,22,1},{0,34,0},{32,16,162},{0,18,52},{0,18,52},{0,32,98},{16,32,162},{0,32,98},{38,0,882},{0,10,100},{0,38,2},{0,6,340},{38,0,882},{30,0,882},{0,6,340},{0,20,884},{30,0,882},{0,20,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,15,884},{0,12,34},{0,24,13},
{0,38,250},{0,12,2355},{0,8,1355},{0,22,585},{0,20,1669},{0,36,2567},{0,20,1813},{0,15,884},{0,12,34},{0,24,13},{0,38,250},{0,12,2355},{0,8,1355},{0,22,585},{0,20,1669},{12,0,2355},{0,20,1669},{0,10,0},{0,10,0},{0,10,0},{0,20,1},{0,20,340},{0,4,125},{0,4,125},{0,2,200},{0,18,376},{0,2,225},{0,10,0},{0,10,0},{0,10,0},{0,20,1},{16,4,338},
{0,4,125},{0,4,125},{0,2,200},{4,16,338},{0,2,200},{24,0,882},{0,12,34},{16,24,4},{0,38,250},{24,0,882},{32,8,882},{0,38,250},{0,6,884},{32,8,882},{0,6,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,27,882},{0,14,9},{0,40,81},{0,8,202},{0,14,2899},{0,24,1539},{0,8,643},
{0,6,2004},{0,6,3189},{0,36,2207},{0,27,882},{0,14,9},{16,40,61},{0,8,202},{6,2,2899},{0,24,1539},{0,8,643},{0,6,2004},{14,0,2899},{0,6,2004},{0,28,1},{0,28,1},{0,28,1},{0,6,4},{0,22,578},{0,36,221},{0,36,221},{0,18,365},{0,18,632},{0,18,401},{0,28,1},{0,28,1},{0,28,1},{0,6,4},{32,4,578},{0,36,221},{0,36,221},{0,18,365},{22,0,578},
{0,18,365},{38,6,882},{0,14,9},{2,40,1},{0,8,202},{38,6,882},{27,0,882},{0,8,202},{0,22,884},{27,0,882},{0,22,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{16,25,910},{16,46,31},{16,26,151},{0,40,181},{0,31,3048},{0,26,1416},{0,40,506},{0,22,1944},{0,38,3484},{0,6,2233},{16,25,885},
{16,46,6},{32,26,78},{16,40,165},{36,6,3048},{0,26,1416},{0,40,506},{0,22,1944},{31,0,3048},{0,22,1944},{16,30,26},{16,30,26},{16,30,26},{16,38,27},{0,24,650},{0,22,157},{0,22,157},{0,4,325},{0,4,766},{0,4,425},{16,30,1},{16,30,1},{16,30,1},{16,38,2},{18,4,648},{0,22,157},{0,22,157},{0,4,325},{36,2,648},{0,4,325},{26,2,882},{0,46,5},{18,26,4},
{0,40,145},{26,2,882},{38,8,882},{0,40,145},{0,8,890},{38,8,882},{0,8,890},{16,0,26},{16,0,26},{16,0,26},{16,0,26},{0,18,0},{0,18,0},{0,18,0},{0,32,1},{0,16,10},{0,16,10},{16,7,1009},{16,31,134},{32,12,297},{16,26,238},{0,43,3048},{0,28,1224},{0,26,267},{0,8,1764},{0,24,3685},{0,38,2157},{2,9,885},{2,47,5},{18,12,77},{32,26,165},{6,8,3048},
{0,28,1224},{0,26,267},{0,8,1764},{43,0,3048},{0,8,1764},{16,45,125},{16,45,125},{16,45,125},{16,40,126},{0,28,648},{0,24,80},{0,24,80},{0,36,260},{0,6,875},{0,20,413},{2,46,1},{2,46,1},{2,46,1},{2,24,2},{2,24,648},{0,24,80},{0,24,80},{0,36,260},{28,0,648},{0,36,260},{44,0,882},{2,47,4},{4,42,1},{0,26,98},{44,0,882},{26,8,882},{0,26,98},
{0,24,890},{26,8,882},{0,24,890},{16,0,125},{16,0,125},{16,0,125},{16,0,125},{0,6,0},{0,6,0},{0,6,0},{0,18,1},{0,18,37},{0,18,37},{32,5,1147},{32,45,282},{2,44,523},{32,12,381},{0,9,3051},{0,14,1110},{0,12,116},{0,24,1658},{0,26,3859},{0,8,2173},{18,23,886},{18,15,6},{34,28,69},{18,42,166},{40,4,3048},{0,14,1110},{0,12,116},{0,24,1658},{22,8,3048},
{0,24,1658},{32,13,265},{32,13,265},{32,13,265},{32,10,266},{0,46,650},{0,26,26},{0,26,26},{0,22,194},{0,22,987},{0,6,427},{18,15,5},{18,15,5},{18,15,5},{18,40,5},{22,2,648},{0,26,26},{0,26,26},{0,22,194},{42,2,648},{0,22,194},{30,0,882},{18,15,2},{20,28,4},{0,12,52},{30,0,882},{33,0,882},{0,12,52},{0,10,884},{33,0,882},{0,10,884},{32,0,265},
{32,0,265},{32,0,265},{32,0,265},{0,24,0},{0,24,0},{0,24,0},{0,4,4},{0,34,89},{0,34,89},{2,3,1365},{2,13,510},{18,14,813},{2,28,566},{0,37,3048},{0,46,1013},{0,44,42},{0,10,1509},{0,12,4057},{0,10,2185},{4,7,885},{4,45,10},{20,44,86},{34,28,173},{28,0,3048},{0,46,1013},{0,44,42},{0,10,1509},{37,0,3048},{0,10,1509},{2,11,482},{2,11,482},{2,11,482},
{2,42,481},{0,29,650},{0,12,4},{0,12,4},{0,38,128},{0,8,1161},{0,22,483},{4,15,2},{4,15,2},{4,15,2},{4,26,2},{8,2,648},{0,12,4},{0,12,4},{0,38,128},{30,2,648},{0,38,128},{47,0,882},{34,45,2},{6,44,1},{0,44,26},{47,0,882},{27,6,882},{0,44,26},{0,26,890},{27,6,882},{0,26,890},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{0,12,0},
{0,12,0},{0,12,0},{0,6,1},{0,20,180},{0,20,180},{18,17,1647},{18,27,810},{34,46,1178},{2,14,837},{0,19,3048},{0,15,933},{0,14,21},{0,26,1443},{0,28,4329},{0,26,2227},{20,21,885},{20,29,5},{36,30,69},{20,44,182},{42,6,3048},{0,15,933},{0,14,21},{0,26,1443},{19,0,3048},{0,26,1443},{18,25,765},{18,25,765},{18,25,765},{18,28,766},{0,11,648},{0,14,5},{0,14,5},
{0,24,89},{0,10,1342},{0,8,557},{20,29,1},{20,29,1},{20,29,1},{20,42,2},{24,4,648},{16,44,2},{16,44,2},{0,24,89},{11,0,648},{0,24,89},{34,3,882},{4,13,4},{22,30,4},{0,14,17},{34,3,882},{35,4,882},{0,14,17},{0,12,884},{35,4,882},{0,12,884},{18,0,765},{18,0,765},{18,0,765},{18,0,765},{0,30,0},{0,30,0},{0,30,0},{0,38,0},{0,6,274},
{0,6,274},{34,1,1782},{34,41,940},{4,31,1356},{34,46,950},{16,1,3052},{16,29,910},{16,46,22},{0,12,1335},{0,46,4231},{0,12,1924},{6,5,882},{6,43,5},{22,47,86},{36,30,174},{32,3,3048},{0,13,900},{32,46,13},{0,12,1299},{39,4,3048},{0,12,1299},{34,23,882},{34,23,882},{34,23,882},{34,14,883},{16,9,651},{16,46,18},{16,46,18},{16,10,74},{0,42,1256},{0,40,434},{6,13,0},
{6,13,0},{6,13,0},{6,28,1},{38,10,648},{2,30,2},{2,30,2},{0,10,45},{23,0,648},{0,10,45},{4,1,882},{36,27,4},{8,46,4},{0,46,5},{4,1,882},{1,4,882},{0,46,5},{0,28,890},{1,4,882},{0,28,890},{34,0,882},{34,0,882},{34,0,882},{34,0,882},{16,31,1},{16,31,1},{16,31,1},{16,24,1},{0,8,250},{0,8,250},{20,1,1814},{20,25,945},{36,15,1363},
{4,47,945},{2,1,3052},{32,43,916},{2,47,23},{16,44,1337},{0,31,3975},{0,28,1612},{22,19,886},{22,11,6},{38,31,77},{22,46,185},{2,1,3048},{0,27,883},{2,47,19},{0,44,1188},{1,2,3048},{0,44,1188},{20,7,901},{20,7,901},{20,7,901},{20,30,900},{2,9,654},{2,47,14},{2,47,14},{32,26,70},{0,28,1059},{0,26,236},{22,27,4},{22,27,4},{22,27,4},{22,14,8},{28,2,648},
{18,46,5},{18,46,5},{0,42,36},{42,8,648},{0,42,36},{27,0,882},{22,11,2},{24,31,4},{0,31,5},{27,0,882},{37,8,882},{0,31,5},{0,14,882},{37,8,882},{0,14,882},{4,0,900},{4,0,900},{4,0,900},{4,0,900},{2,15,5},{2,15,5},{2,15,5},{2,40,4},{0,40,146},{0,40,146},{6,1,1864},{36,39,947},{6,29,1356},{36,31,943},{34,1,3073},{18,27,910},{18,15,21},
{2,14,1335},{0,45,3751},{0,14,1379},{8,3,885},{8,41,5},{24,15,85},{38,31,182},{29,0,3048},{32,11,884},{34,15,16},{0,30,1146},{37,6,3048},{0,30,1146},{36,21,882},{36,21,882},{36,21,882},{36,47,886},{18,7,649},{18,15,21},{18,15,21},{18,12,74},{0,14,945},{0,12,91},{8,11,2},{8,11,2},{8,11,2},{8,30,2},{16,3,648},{34,31,1},{34,31,1},{0,12,10},{17,0,648},
{0,12,10},{28,13,882},{38,25,4},{10,15,1},{2,15,1},{28,13,882},{27,12,882},{2,15,1},{0,30,890},{27,12,882},{0,30,890},{36,0,882},{36,0,882},{36,0,882},{36,0,882},{18,29,1},{18,29,1},{18,29,1},{18,26,1},{0,42,68},{0,42,68},{22,1,1944},{22,23,945},{38,13,1363},{6,45,945},{20,1,3115},{34,41,916},{4,45,18},{18,46,1337},{0,13,3580},{0,46,1153},{24,17,886},
{24,9,6},{40,29,69},{24,15,168},{46,10,3048},{2,25,885},{4,45,14},{0,46,1053},{23,8,3048},{0,46,1053},{22,5,901},{22,5,901},{22,5,901},{6,31,901},{4,7,654},{4,45,9},{4,45,9},{34,28,70},{0,47,825},{0,44,25},{24,25,4},{24,25,4},{24,25,4},{24,46,8},{30,4,648},{20,15,0},{20,15,0},{0,44,0},{15,8,648},{0,44,0},{40,3,882},{24,9,2},{26,29,4},
{2,29,5},{40,3,882},{16,9,882},{2,29,5},{0,47,890},{16,9,882},{0,47,890},{6,0,900},{6,0,900},{6,0,900},{6,0,900},{4,13,5},{4,13,5},{4,13,5},{4,42,4},{0,28,18},{0,28,18},{8,1,2056},{38,21,956},{8,43,1348},{38,29,949},{6,1,3156},{20,25,910},{20,13,22},{4,47,1318},{0,11,3384},{0,31,1015},{10,1,882},{10,39,5},{26,13,75},{40,29,174},{27,2,3048},
{34,9,885},{36,13,10},{0,31,990},{39,10,3048},{0,31,990},{38,3,885},{38,3,885},{38,3,885},{38,45,885},{20,5,649},{20,13,21},{20,13,21},{20,14,66},{0,15,729},{0,30,5},{10,9,0},{10,9,0},{10,9,0},{10,31,1},{45,0,648},{6,29,2},{6,29,2},{16,30,4},{27,8,648},{16,30,4},{10,1,882},{40,23,1},{12,13,1},{4,13,1},{10,1,882},{4,9,882},{4,13,1},
{0,31,890},{4,9,882},{0,31,890},{38,0,884},{38,0,884},{38,0,884},{38,0,884},{20,27,1},{20,27,1},{20,27,1},{20,28,1},{0,30,1},{0,30,1},{40,1,2134},{24,21,943},{40,11,1348},{8,43,952},{38,1,3240},{36,39,914},{6,27,22},{36,15,1330},{0,25,3244},{0,15,951},{42,1,891},{26,7,10},{42,27,77},{26,13,171},{8,1,3048},{4,23,886},{6,27,21},{0,15,950},{1,8,3048},
{0,15,950},{24,3,890},{24,3,890},{24,3,890},{24,29,890},{6,35,649},{6,43,10},{6,43,10},{36,30,77},{0,13,675},{32,46,6},{26,7,10},{26,7,10},{26,7,10},{26,15,10},{29,2,648},{22,13,2},{22,13,2},{2,46,2},{35,6,648},{2,46,2},{21,0,882},{26,7,1},{28,27,4},{4,27,5},{21,0,882},{18,7,882},{4,27,5},{0,45,884},{18,7,882},{0,45,884},{24,0,890},
{24,0,890},{24,0,890},{24,0,890},{6,11,1},{6,11,1},{6,11,1},{6,44,2},{16,47,2},{16,47,2},{26,1,2252},{40,35,940},{10,41,1348},{40,27,954},{24,1,3321},{22,23,910},{22,11,22},{6,45,1318},{0,39,3156},{0,29,940},{28,1,920},{12,37,5},{28,41,77},{12,27,180},{23,0,3048},{36,7,884},{38,11,10},{0,29,915},{18,9,3048},{0,29,915},{40,17,882},{40,17,882},{40,17,882},
{40,43,883},{22,3,649},{38,27,20},{38,27,20},{22,47,86},{0,27,656},{2,31,9},{12,7,0},{12,7,0},{12,7,0},{12,29,1},{43,2,648},{38,27,4},{38,27,4},{34,47,4},{21,8,648},{34,47,4},{14,3,882},{42,21,1},{14,11,1},{6,11,1},{14,3,882},{32,5,882},{6,11,1},{0,29,890},{32,5,882},{0,29,890},{40,0,882},{40,0,882},{40,0,882},{40,0,882},{22,25,1},
{22,25,1},{22,25,1},{22,30,2},{2,31,0},{2,31,0},{42,1,2404},{26,19,935},{42,9,1348},{10,41,952},{40,1,3409},{38,37,914},{8,41,30},{38,29,1354},{0,37,3087},{2,13,951},{14,1,954},{28,5,6},{44,25,77},{28,11,185},{9,6,3048},{6,21,886},{24,41,21},{0,43,900},{32,7,3048},{0,43,900},{26,1,891},{26,1,891},{26,1,891},{26,27,891},{8,3,654},{8,41,14},{8,41,14},
{38,31,77},{16,41,651},{34,15,3},{28,5,5},{28,5,5},{28,5,5},{28,13,5},{38,1,648},{24,11,2},{24,11,2},{4,15,2},{43,28,648},{4,15,2},{46,3,882},{28,5,2},{30,25,4},{6,25,5},{46,3,882},{16,3,882},{6,25,5},{0,43,884},{16,3,882},{0,43,884},{26,0,890},{26,0,890},{26,0,890},{26,0,890},{8,9,5},{8,9,5},{8,9,5},{8,46,4},{34,15,2},
{34,15,2},{28,1,2612},{12,3,951},{28,39,1354},{42,9,952},{26,1,3544},{24,21,910},{40,9,30},{8,43,1348},{0,35,3060},{18,27,935},{30,1,1005},{14,35,3},{30,39,77},{44,25,185},{41,12,3048},{38,35,890},{40,9,14},{0,27,891},{16,5,3048},{0,27,891},{42,1,900},{42,1,900},{42,1,900},{42,41,885},{24,1,654},{40,25,21},{40,25,21},{24,45,77},{2,9,651},{4,29,6},{14,5,2},
{14,5,2},{14,5,2},{14,27,2},{39,0,648},{10,25,2},{10,25,2},{4,29,5},{9,28,648},{4,29,5},{1,0,882},{44,19,2},{47,9,4},{8,9,5},{1,0,882},{0,1,882},{8,9,5},{0,27,890},{0,1,882},{0,27,890},{42,0,884},{42,0,884},{42,0,884},{42,0,884},{24,7,5},{24,7,5},{24,7,5},{24,31,4},{4,29,2},{4,29,2},{14,1,2774},{28,1,940},{44,7,1318},
{12,39,966},{12,1,3700},{40,35,916},{10,23,22},{40,11,1348},{16,19,3051},{34,41,940},{47,1,1061},{30,3,9},{46,23,86},{30,9,190},{14,1,3048},{8,19,886},{26,39,20},{16,41,882},{4,5,3048},{16,41,882},{28,1,915},{28,1,915},{28,1,915},{28,25,890},{10,1,657},{10,39,10},{10,39,10},{40,29,77},{18,39,654},{36,13,5},{46,35,4},{46,35,4},{46,35,4},{46,11,4},{23,2,648},
{42,9,4},{42,9,4},{6,13,0},{20,9,648},{6,13,0},{15,1,882},{30,3,0},{31,23,2},{24,23,1},{15,1,882},{9,11,882},{24,23,1},{0,41,882},{9,11,882},{0,41,882},{28,0,890},{28,0,890},{28,0,890},{28,0,890},{10,7,1},{10,7,1},{10,7,1},{10,15,1},{20,43,1},{20,43,1},{46,1,3014},{14,1,951},{14,37,1330},{44,23,958},{14,1,3865},{26,19,913},{26,7,22},
{10,41,1348},{32,33,3049},{20,25,943},{15,1,1154},{47,33,6},{31,37,77},{46,23,185},{17,0,3048},{40,3,885},{42,7,10},{2,25,890},{18,3,3048},{2,25,890},{14,1,950},{14,1,950},{14,1,950},{44,39,885},{42,1,672},{26,7,21},{26,7,21},{26,43,77},{34,7,652},{6,27,10},{47,3,2},{47,3,2},{47,3,2},{47,25,2},{37,2,648},{12,23,2},{12,23,2},{6,27,10},{34,7,648},
{6,27,10},{27,5,882},{46,17,2},{45,7,2},{10,7,1},{27,5,882},{6,1,882},{10,7,1},{0,25,890},{6,1,882},{0,25,890},{44,0,884},{44,0,884},{44,0,884},{44,0,884},{26,5,5},{26,5,5},{26,5,5},{26,29,4},{6,27,1},{6,27,1},{47,1,3214},{30,1,1015},{46,5,1318},{14,37,966},{30,1,4009},{42,33,916},{12,21,22},{42,9,1348},{18,17,3051},{20,39,956},{29,1,1240},
{31,1,5},{15,21,66},{31,7,185},{27,9,3048},{10,17,886},{12,21,21},{2,39,885},{14,7,3048},{2,39,885},{30,1,990},{30,1,990},{30,1,990},{30,23,890},{28,1,715},{12,37,10},{12,37,10},{12,27,75},{20,37,651},{38,11,5},{31,17,4},{31,17,4},{31,17,4},{31,9,8},{44,1,648},{28,7,2},{28,7,2},{8,11,0},{26,9,648},{8,11,0},{17,10,882},{31,1,1},{29,21,1},
{26,21,1},{17,10,882},{24,1,882},{26,21,1},{0,39,884},{24,1,882},{0,39,884},{30,0,890},{30,0,890},{30,0,890},{30,0,890},{12,5,1},{12,5,1},{12,5,1},{12,13,1},{22,41,1},{22,41,1},{15,1,3526},{47,1,1153},{47,19,1337},{46,5,958},{47,1,4231},{28,17,910},{44,5,18},{12,39,1363},{20,1,3067},{22,23,945},{43,1,1380},{45,1,25},{29,35,70},{45,21,185},{13,3,3048},
{12,1,888},{44,5,9},{18,7,901},{44,5,3048},{18,7,901},{47,1,1053},{47,1,1053},{47,1,1053},{46,37,890},{14,1,762},{44,5,14},{44,5,14},{28,41,69},{6,5,650},{8,25,6},{45,1,0},{45,1,0},{45,1,0},{45,23,0},{31,5,648},{14,21,0},{14,21,0},{24,25,4},{14,9,648},{24,25,4},{41,1,882},{29,1,18},{43,5,4},{12,5,5},{41,1,882},{47,3,882},{12,5,5},
{0,7,900},{47,3,882},{0,7,900},{46,0,890},{46,0,890},{46,0,890},{46,0,890},{28,3,5},{28,3,5},{28,3,5},{28,27,4},{8,25,2},{8,25,2},{29,1,3764},{15,1,1379},{15,3,1335},{47,35,950},{15,1,4477},{14,1,925},{14,19,21},{28,7,1356},{22,1,3145},{38,37,947},{11,1,1485},{13,1,91},{13,19,74},{29,35,178},{43,1,3048},{14,1,925},{14,19,21},{20,37,882},{8,1,3048},
{20,37,882},{31,1,1146},{31,1,1146},{31,1,1146},{31,21,890},{46,1,841},{14,35,16},{14,35,16},{14,25,85},{38,35,649},{40,9,5},{13,1,10},{13,1,10},{13,1,10},{13,7,9},{17,2,648},{30,35,1},{30,35,1},{10,9,2},{16,1,648},{10,9,2},{9,1,882},{43,1,68},{27,19,1},{28,19,1},{9,1,882},{46,1,882},{28,19,1},{0,37,882},{46,1,882},{0,37,882},{31,0,890},
{31,0,890},{31,0,890},{31,0,890},{14,3,1},{14,3,1},{14,3,1},{14,11,1},{40,9,4},{40,9,4},{13,1,4076},{29,1,1612},{45,17,1337},{15,3,950},{29,1,4684},{46,1,1035},{46,3,23},{14,37,1363},{24,1,3256},{24,21,945},{41,1,1650},{27,1,236},{27,33,70},{13,19,174},{11,1,3048},{47,1,1013},{46,3,14},{20,5,901},{5,9,3048},{20,5,901},{45,1,1188},{45,1,1188},{45,1,1188},
{15,35,883},{47,1,910},{46,3,19},{46,3,19},{30,39,77},{8,3,651},{10,23,6},{43,1,36},{43,1,36},{43,1,36},{43,21,1},{29,3,648},{47,19,5},{47,19,5},{26,23,4},{43,9,648},{26,23,4},{19,9,882},{41,1,146},{41,3,4},{14,3,5},{19,9,882},{45,1,882},{14,3,5},{0,5,900},{45,1,882},{0,5,900},{15,0,882},{15,0,882},{15,0,882},{15,0,882},{30,1,5},
{30,1,5},{30,1,5},{30,25,4},{10,23,2},{10,23,2},{11,1,4374},{13,1,1924},{13,1,1335},{45,33,961},{13,1,4972},{47,1,1225},{47,17,22},{30,5,1356},{26,1,3460},{40,35,940},{9,1,1755},{41,1,434},{11,17,74},{27,3,185},{23,5,3048},{15,1,1146},{47,17,18},{22,35,882},{14,1,3048},{22,35,882},{13,1,1299},{13,1,1299},{13,1,1299},{29,19,890},{15,1,1017},{47,33,13},{47,33,13},
{46,23,86},{40,33,652},{42,7,5},{11,1,45},{11,1,45},{11,1,45},{27,5,5},{39,11,648},{31,3,2},{31,3,2},{12,7,0},{22,1,648},{12,7,0},{21,17,882},{9,1,250},{25,17,1},{30,17,1},{21,17,882},{17,21,882},{30,17,1},{0,35,882},{17,21,882},{0,35,882},{29,0,890},{29,0,890},{29,0,890},{29,0,890},{47,1,5},{47,1,5},{47,1,5},{47,9,4},{26,37,4},
{26,37,4},{41,1,4427},{27,1,2227},{27,1,1443},{13,17,925},{11,1,4878},{45,1,1331},{15,1,21},{47,35,1178},{44,1,3438},{26,19,810},{23,1,1746},{9,1,557},{25,1,89},{11,17,142},{23,17,2814},{13,1,1125},{15,1,5},{24,19,765},{45,17,2814},{24,19,765},{27,1,1443},{27,1,1443},{27,1,1443},{13,33,884},{29,1,1132},{15,1,21},{15,1,21},{31,37,69},{10,1,648},{28,21,5},{25,1,89},
{25,1,89},{25,1,89},{41,19,1},{25,5,648},{45,17,2},{45,17,2},{28,21,1},{10,1,648},{28,21,1},{19,3,761},{7,1,274},{39,1,0},{31,1,0},{19,3,761},{39,1,761},{31,1,0},{0,19,765},{39,1,761},{0,19,765},{13,0,884},{13,0,884},{13,0,884},{13,0,884},{15,1,17},{15,1,17},{15,1,17},{31,23,4},{12,5,4},{12,5,4},{9,1,3933},{11,1,2185},{11,1,1509},
{27,1,899},{41,1,4346},{13,1,1109},{45,1,42},{15,19,813},{30,1,2958},{12,3,510},{7,1,1386},{23,1,483},{39,1,128},{25,17,59},{3,25,2249},{11,1,870},{13,1,4},{10,3,482},{29,1,2249},{10,3,482},{11,1,1509},{11,1,1509},{11,1,1509},{27,17,890},{43,1,1275},{45,1,42},{45,1,42},{45,21,86},{12,1,675},{44,5,10},{39,1,128},{39,1,128},{39,1,128},{9,3,5},{9,3,648},
{13,1,4},{13,1,4},{14,5,2},{31,3,648},{14,5,2},{3,3,481},{21,1,180},{7,1,1},{13,1,0},{3,3,481},{7,1,481},{13,1,0},{0,3,481},{7,1,481},{0,3,481},{27,0,890},{27,0,890},{27,0,890},{27,0,890},{45,1,26},{45,1,26},{45,1,26},{45,7,1},{44,35,2},{44,35,2},{39,1,3541},{9,1,2173},{25,1,1658},{11,1,893},{9,1,3801},{27,1,1035},{13,1,116},
{45,3,523},{47,1,2574},{44,33,282},{21,1,1070},{7,1,427},{23,1,194},{39,1,16},{21,17,1769},{25,1,673},{27,1,26},{12,33,265},{17,21,1769},{12,33,265},{25,1,1658},{25,1,1658},{25,1,1658},{11,1,893},{11,1,1386},{13,1,116},{13,1,116},{29,35,69},{14,1,734},{14,19,6},{23,1,194},{23,1,194},{23,1,194},{39,17,1},{23,3,648},{27,1,26},{27,1,26},{14,19,5},{43,3,648},
{14,19,5},{33,3,265},{35,1,89},{5,1,4},{25,1,0},{33,3,265},{21,1,265},{25,1,0},{0,33,265},{21,1,265},{0,33,265},{11,0,884},{11,0,884},{11,0,884},{11,0,884},{13,1,52},{13,1,52},{13,1,52},{29,21,4},{14,19,2},{14,19,2},{23,1,3267},{39,1,2157},{9,1,1764},{25,1,954},{39,1,3397},{11,1,950},{27,1,267},{13,33,297},{29,1,2313},{30,17,134},{5,1,838},
{21,1,413},{37,1,260},{7,1,9},{17,39,1374},{23,1,518},{25,1,80},{44,17,125},{39,17,1374},{44,17,125},{9,1,1764},{9,1,1764},{9,1,1764},{25,1,954},{25,1,1569},{27,1,267},{27,1,267},{13,19,77},{47,1,846},{46,3,5},{37,1,260},{37,1,260},{37,1,260},{7,1,9},{3,25,648},{25,1,80},{25,1,80},{47,3,1},{29,1,648},{47,3,1},{33,1,113},{19,1,37},{19,1,1},
{7,1,0},{33,1,113},{35,1,113},{7,1,0},{0,17,125},{35,1,113},{0,17,125},{25,0,890},{25,0,890},{25,0,890},{25,0,890},{27,1,98},{27,1,98},{27,1,98},{43,5,1},{46,3,4},{46,3,4},{7,1,3032},{7,1,2233},{23,1,1944},{39,1,1083},{7,1,3096},{9,1,1028},{41,1,506},{27,17,151},{13,1,2068},{47,17,31},{35,1,693},{5,1,425},{5,1,325},{21,1,52},{3,3,1032},
{7,1,406},{23,1,157},{31,17,26},{3,3,1032},{31,17,26},{23,1,1944},{23,1,1944},{23,1,1944},{39,1,1083},{39,1,1723},{41,1,506},{41,1,506},{27,33,78},{45,1,1034},{47,17,6},{5,1,325},{5,1,325},{5,1,325},{21,1,52},{19,5,648},{23,1,157},{23,1,157},{31,17,1},{37,3,648},{31,17,1},{17,1,18},{17,1,10},{33,1,1},{19,1,0},{17,1,18},{33,1,18},{19,1,0},
{0,17,26},{33,1,18},{0,17,26},{9,0,890},{9,0,890},{9,0,890},{9,0,890},{41,1,145},{41,1,145},{41,1,145},{27,19,4},{47,1,5},{47,1,5},{21,1,2710},{37,1,2207},{7,1,2004},{23,1,1173},{21,1,2775},{39,1,1036},{9,1,643},{41,1,81},{11,1,1900},{15,1,9},{3,1,524},{19,1,401},{19,1,365},{5,1,104},{33,33,771},{5,1,369},{37,1,221},{29,1,1},{33,33,771},
{29,1,1},{7,1,2004},{7,1,2004},{7,1,2004},{23,1,1173},{23,1,1784},{9,1,643},{9,1,643},{41,17,61},{13,1,1091},{15,1,9},{19,1,365},{19,1,365},{19,1,365},{5,1,104},{33,5,578},{37,1,221},{37,1,221},{29,1,1},{23,1,578},{29,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{23,0,884},
{23,0,884},{23,0,884},{23,0,884},{9,1,202},{9,1,202},{9,1,202},{41,3,1},{15,1,9},{15,1,9},{5,1,2214},{21,1,1813},{21,1,1669},{7,1,1109},{21,1,2151},{23,1,874},{23,1,585},{25,1,13},{25,1,1508},{13,1,34},{3,1,300},{3,1,225},{3,1,200},{19,1,61},{33,17,451},{35,1,192},{5,1,125},{11,1,0},{17,33,451},{11,1,0},{21,1,1669},{21,1,1669},{21,1,1669},
{7,1,1109},{7,1,1460},{23,1,585},{23,1,585},{25,1,13},{11,1,872},{13,1,34},{3,1,200},{3,1,200},{3,1,200},{19,1,61},{17,5,338},{5,1,125},{5,1,125},{11,1,0},{5,17,338},{11,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{7,0,884},{7,0,884},{7,0,884},{7,0,884},{39,1,250},
{39,1,250},{39,1,250},{25,17,4},{13,1,34},{13,1,34},{35,1,1818},{5,1,1521},{5,1,1421},{21,1,1028},{5,1,1675},{7,1,790},{7,1,565},{39,1,2},{23,1,1155},{11,1,100},{33,1,147},{33,1,107},{33,1,98},{3,1,29},{1,19,216},{19,1,88},{19,1,52},{23,1,1},{19,1,216},{23,1,1},{5,1,1421},{5,1,1421},{5,1,1421},{21,1,1028},{21,1,1158},{7,1,565},{7,1,565},
{39,1,2},{25,1,723},{11,1,100},{33,1,98},{33,1,98},{33,1,98},{3,1,29},{33,17,162},{19,1,52},{19,1,52},{23,1,1},{17,33,162},{23,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{21,0,884},{21,0,884},{21,0,884},{21,0,884},{7,1,340},{7,1,340},{7,1,340},{39,1,2},{11,1,100},
{11,1,100},{0,13,1568},{0,14,185},{0,10,5},{0,8,586},{0,44,3371},{0,24,2147},{0,8,1027},{0,36,2571},{0,6,3617},{0,20,2729},{0,13,1568},{0,14,185},{0,10,5},{0,8,586},{18,8,3371},{0,24,2147},{0,8,1027},{0,36,2571},{44,0,3371},{0,36,2571},{0,24,1},{0,24,1},{0,24,1},{0,20,1},{0,20,288},{0,34,100},{0,34,100},{0,2,164},{0,2,321},{0,2,189},{0,24,1},
{0,24,1},{0,24,1},{0,20,1},{32,2,288},{0,34,100},{0,34,100},{0,2,164},{20,0,288},{0,2,164},{24,2,1568},{0,14,185},{0,10,5},{0,8,586},{24,2,1568},{13,0,1568},{0,8,586},{0,22,1576},{13,0,1568},{0,22,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,25,1568},{0,46,89},{0,26,20},
{0,40,505},{0,46,3968},{0,10,2316},{0,24,1078},{0,6,2880},{0,22,4305},{0,6,3105},{0,25,1568},{0,46,89},{0,26,20},{0,40,505},{18,10,3968},{0,10,2316},{0,24,1078},{0,6,2880},{46,0,3968},{0,6,2880},{0,12,1},{0,12,1},{0,12,1},{0,6,0},{0,6,514},{0,20,193},{0,20,193},{0,18,317},{0,18,556},{0,18,353},{0,12,1},{0,12,1},{0,12,1},{0,6,0},{2,2,512},
{0,20,193},{0,20,193},{0,18,317},{2,2,512},{0,18,317},{16,11,1568},{0,46,89},{16,26,5},{0,40,505},{16,11,1568},{25,0,1568},{0,40,505},{0,38,1570},{25,0,1568},{0,38,1570},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,7,1568},{0,15,37},{16,12,76},{0,10,421},{0,15,4652},{0,42,2540},{0,10,1097},
{0,38,3251},{0,8,5108},{0,22,3545},{0,7,1568},{0,15,37},{16,12,51},{0,10,421},{38,2,4651},{0,42,2540},{0,10,1097},{0,38,3251},{16,8,4651},{0,38,3251},{0,46,0},{0,46,0},{0,46,0},{0,38,1},{0,8,802},{0,6,289},{0,6,289},{0,34,493},{0,34,872},{0,34,557},{0,46,0},{0,46,0},{0,46,0},{0,38,1},{4,0,802},{0,6,289},{0,6,289},{0,34,493},{8,0,802},
{0,34,493},{26,4,1568},{0,15,37},{32,12,2},{0,10,421},{26,4,1568},{7,0,1568},{0,10,421},{0,24,1576},{7,0,1568},{0,24,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,19,1570},{0,29,8},{16,44,166},{0,12,338},{0,29,5420},{0,28,2755},{0,26,1208},{0,8,3659},{0,24,5988},{0,38,4028},{0,19,1570},
{0,29,8},{16,44,141},{0,12,338},{40,0,5419},{0,28,2755},{0,26,1208},{0,8,3659},{46,2,5419},{0,8,3659},{0,45,0},{0,45,0},{0,45,0},{0,24,1},{0,24,1154},{0,22,433},{0,22,433},{0,4,697},{0,4,1270},{0,4,797},{0,45,0},{0,45,0},{0,45,0},{0,24,1},{18,4,1152},{0,22,433},{0,22,433},{0,4,697},{36,2,1152},{0,4,697},{14,0,1568},{0,29,8},{18,28,1},
{0,12,338},{14,0,1568},{8,10,1568},{0,12,338},{0,40,1568},{8,10,1568},{0,40,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{16,17,1609},{16,43,45},{32,30,282},{0,28,325},{0,25,5419},{0,14,2514},{0,12,804},{0,24,3462},{0,10,6191},{0,8,3965},{32,3,1574},{32,13,17},{2,14,130},{16,28,312},{16,11,5419},
{0,14,2514},{0,12,804},{0,24,3462},{25,0,5419},{0,24,3462},{16,43,41},{16,43,41},{16,43,41},{16,10,42},{0,28,1152},{0,40,292},{0,40,292},{0,36,596},{0,6,1379},{0,20,761},{32,29,4},{32,29,4},{32,29,4},{32,10,5},{2,24,1152},{0,40,292},{0,40,292},{0,36,596},{28,0,1152},{0,36,596},{30,2,1568},{0,27,4},{4,14,1},{0,28,244},{30,2,1568},{35,2,1568},{0,28,244},
{0,26,1570},{35,2,1568},{0,26,1570},{16,0,41},{16,0,41},{16,0,41},{16,0,41},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,32,13},{0,32,13},{32,1,1733},{32,11,159},{32,46,455},{16,14,377},{0,7,5419},{0,47,2294},{0,44,542},{0,10,3225},{0,12,6401},{0,10,3901},{2,17,1569},{2,27,6},{18,46,125},{32,14,296},{26,4,5419},{0,47,2294},{0,44,542},{0,10,3225},{7,0,5419},
{0,10,3225},{32,11,158},{32,11,158},{32,11,158},{32,42,157},{0,46,1154},{0,26,170},{0,26,170},{0,22,482},{0,22,1491},{0,6,739},{2,27,2},{2,27,2},{2,27,2},{2,26,5},{22,2,1152},{0,26,170},{0,26,170},{0,22,482},{42,2,1152},{0,22,482},{47,2,1568},{32,11,2},{20,30,5},{0,14,185},{47,2,1568},{17,2,1568},{0,14,185},{0,42,1570},{17,2,1568},{0,42,1570},{32,0,157},
{32,0,157},{32,0,157},{32,0,157},{0,22,0},{0,22,0},{0,22,0},{0,34,1},{0,18,45},{0,18,45},{2,1,2003},{32,9,330},{2,31,710},{32,30,517},{0,35,5420},{0,15,2081},{0,30,345},{0,42,3099},{0,28,6641},{0,10,3885},{34,1,1574},{34,11,17},{4,47,134},{18,30,312},{14,0,5419},{0,15,2081},{0,30,345},{0,42,3099},{8,10,5419},{0,42,3099},{32,23,317},{32,23,317},{32,23,317},
{32,28,317},{0,29,1154},{0,28,80},{0,28,80},{0,8,388},{0,8,1665},{0,38,753},{34,27,4},{34,27,4},{34,27,4},{34,12,5},{8,2,1152},{0,28,80},{0,28,80},{0,8,388},{30,2,1152},{0,8,388},{15,2,1568},{18,41,4},{36,47,5},{0,46,125},{15,2,1568},{33,4,1568},{0,46,125},{0,28,1576},{33,4,1568},{0,28,1576},{32,0,317},{32,0,317},{32,0,317},{32,0,317},{0,40,0},
{0,40,0},{0,40,0},{0,20,0},{0,34,113},{0,34,113},{18,1,2395},{2,23,570},{18,45,1046},{2,47,725},{0,1,5419},{0,13,1947},{0,47,185},{0,12,2880},{0,14,6964},{0,12,3841},{20,1,1593},{4,25,6},{20,15,131},{34,46,326},{0,1,5419},{0,13,1947},{0,47,185},{0,12,2880},{1,0,5419},{0,12,2880},{2,21,546},{2,21,546},{2,21,546},{2,14,545},{0,11,1152},{0,30,37},{0,30,37},
{0,24,317},{0,10,1846},{0,8,797},{4,25,2},{4,25,2},{4,25,2},{4,28,2},{24,4,1152},{0,30,37},{0,30,37},{0,24,317},{11,0,1152},{0,24,317},{43,0,1568},{34,9,1},{22,31,1},{0,47,85},{43,0,1568},{19,6,1568},{0,47,85},{0,44,1570},{19,6,1568},{0,44,1570},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,28,0},{0,28,0},{0,28,0},{0,6,1},{0,20,208},
{0,20,208},{4,1,3030},{18,37,927},{34,29,1474},{18,15,1042},{16,1,5540},{0,27,1787},{0,15,57},{0,44,2668},{0,46,7299},{0,28,3836},{6,1,1612},{36,39,10},{6,29,136},{20,31,312},{47,2,5419},{0,27,1787},{0,15,57},{0,44,2668},{17,2,5419},{0,44,2668},{18,19,883},{18,19,883},{18,19,883},{18,46,882},{0,23,1152},{0,31,5},{0,31,5},{0,10,225},{0,26,2064},{0,10,901},{36,9,2},
{36,9,2},{36,9,2},{36,14,1},{38,10,1152},{0,31,5},{0,31,5},{0,10,225},{23,0,1152},{0,10,225},{38,3,1568},{20,39,4},{8,45,5},{0,15,41},{38,3,1568},{35,8,1568},{0,15,41},{0,30,1570},{35,8,1568},{0,30,1570},{18,0,882},{18,0,882},{18,0,882},{18,0,882},{0,47,1},{0,47,1},{0,47,1},{0,8,1},{0,6,325},{0,6,325},{20,1,3734},{34,5,1332},{4,43,1958},
{18,45,1395},{2,1,5808},{0,25,1676},{0,29,20},{0,30,2566},{0,15,7631},{0,44,3925},{22,1,1656},{6,7,9},{22,13,132},{6,45,309},{15,2,5419},{0,25,1676},{0,29,20},{0,30,2566},{33,4,5419},{0,30,2566},{34,33,1258},{34,33,1258},{34,33,1258},{34,47,1259},{0,5,1154},{0,45,5},{0,45,5},{0,42,180},{0,12,2275},{0,10,981},{6,23,4},{6,23,4},{6,23,4},{6,46,5},{28,2,1152},
{16,15,1},{16,15,1},{0,42,180},{42,8,1152},{0,42,180},{41,2,1568},{36,7,2},{24,29,5},{0,29,20},{41,2,1568},{17,8,1568},{0,29,20},{0,46,1576},{17,8,1568},{0,46,1576},{34,0,1258},{34,0,1258},{34,0,1258},{34,0,1258},{0,29,0},{0,29,0},{0,29,0},{0,40,1},{0,38,482},{0,38,482},{36,1,4356},{4,19,1676},{20,27,2370},{34,13,1683},{18,1,6121},{0,39,1616},{16,43,36},
{0,46,2397},{0,45,7815},{0,46,3837},{8,1,1715},{38,37,10},{8,43,131},{22,29,312},{43,0,5419},{0,39,1612},{16,43,27},{0,46,2393},{19,6,5419},{0,46,2393},{4,1,1577},{4,1,1577},{4,1,1577},{4,15,1576},{0,17,1156},{16,13,22},{16,13,22},{0,12,134},{0,44,2441},{0,12,971},{38,23,1},{38,23,1},{38,23,1},{38,47,2},{16,3,1152},{32,29,1},{32,29,1},{0,12,130},{17,0,1152},
{0,12,130},{29,12,1568},{22,37,4},{10,43,5},{0,43,10},{29,12,1568},{26,13,1568},{0,43,10},{0,31,1576},{26,13,1568},{0,31,1576},{4,0,1576},{4,0,1576},{4,0,1576},{4,0,1576},{0,41,4},{0,41,4},{0,41,4},{0,26,4},{0,24,562},{0,24,562},{22,1,4616},{20,3,1677},{6,41,2378},{20,43,1681},{4,1,6311},{16,7,1620},{32,27,20},{0,31,2365},{0,43,7444},{0,47,3383},{40,1,1766},
{8,5,11},{24,11,132},{8,13,314},{11,0,5419},{0,37,1577},{32,27,19},{0,31,2265},{5,8,5419},{0,31,2265},{20,1,1593},{20,1,1593},{20,1,1593},{20,29,1569},{32,1,1155},{32,27,19},{32,27,19},{16,44,125},{0,46,2150},{0,28,659},{8,21,2},{8,21,2},{8,21,2},{8,31,2},{30,4,1152},{18,13,1},{18,13,1},{0,44,72},{15,8,1152},{0,44,72},{37,0,1568},{38,5,2},{26,27,2},
{0,27,2},{37,0,1568},{36,9,1568},{0,27,2},{0,15,1568},{36,9,1568},{0,15,1568},{20,0,1568},{20,0,1568},{20,0,1568},{20,0,1568},{32,41,1},{32,41,1},{32,41,1},{32,42,2},{0,26,388},{0,26,388},{8,1,4936},{6,17,1676},{22,9,2363},{36,11,1689},{36,1,6476},{2,37,1620},{18,41,24},{32,15,2370},{0,41,7036},{0,15,2859},{26,1,1851},{40,35,11},{10,25,136},{24,27,321},{41,2,5419},
{16,5,1571},{18,41,20},{0,15,2130},{17,8,5419},{0,15,2130},{6,1,1619},{6,1,1619},{6,1,1619},{6,13,1571},{18,1,1158},{18,11,21},{18,11,21},{2,30,125},{0,31,1905},{0,14,425},{40,5,2},{40,5,2},{40,5,2},{40,45,2},{45,0,1152},{4,27,5},{4,27,5},{0,30,41},{27,8,1152},{0,30,41},{21,2,1568},{24,19,2},{12,41,1},{16,41,1},{21,2,1568},{24,9,1568},{16,41,1},
{0,29,1570},{24,9,1568},{0,29,1570},{6,0,1570},{6,0,1570},{6,0,1570},{6,0,1570},{18,25,4},{18,25,4},{18,25,4},{18,28,5},{0,28,232},{0,28,232},{24,1,5154},{38,1,1680},{8,39,2378},{22,41,1683},{22,1,6708},{18,5,1628},{34,25,24},{2,29,2363},{0,9,6740},{0,45,2553},{12,1,1964},{10,3,8},{26,9,139},{40,41,309},{29,12,5419},{2,35,1572},{4,25,21},{0,29,2027},{26,13,5419},
{0,29,2027},{38,1,1664},{38,1,1664},{38,1,1664},{22,27,1570},{4,1,1185},{34,25,20},{34,25,20},{34,46,130},{0,45,1721},{0,46,218},{10,19,4},{10,19,4},{10,19,4},{10,13,8},{29,2,1152},{20,11,5},{20,11,5},{0,47,25},{35,6,1152},{0,47,25},{35,2,1568},{10,3,4},{28,25,5},{18,25,4},{35,2,1568},{34,5,1568},{18,25,4},{0,13,1570},{34,5,1568},{0,13,1570},{22,0,1570},
{22,0,1570},{22,0,1570},{22,0,1570},{34,23,1},{34,23,1},{34,23,1},{34,14,4},{0,14,149},{0,14,149},{26,1,5444},{8,1,1724},{24,23,2378},{38,9,1689},{8,1,6964},{4,35,1620},{20,39,36},{34,13,2370},{0,23,6513},{0,13,2244},{44,1,2099},{42,33,11},{12,23,136},{26,25,321},{37,0,5419},{18,3,1571},{20,39,27},{0,43,1924},{36,9,5419},{0,43,1924},{8,1,1720},{8,1,1720},{8,1,1720},
{8,11,1577},{36,1,1224},{20,9,19},{20,9,19},{4,47,122},{0,43,1548},{0,31,90},{42,19,1},{42,19,1},{42,19,1},{42,43,2},{43,2,1152},{6,25,5},{6,25,5},{0,31,9},{21,8,1152},{0,31,9},{46,1,1568},{26,17,2},{14,39,2},{18,39,1},{46,1,1568},{26,7,1568},{18,39,1},{0,27,1576},{26,7,1568},{0,27,1576},{8,0,1576},{8,0,1576},{8,0,1576},{8,0,1576},{20,23,9},
{20,23,9},{20,23,9},{4,30,10},{0,47,73},{0,47,73},{42,1,5700},{40,1,1798},{40,37,2375},{24,39,1683},{40,1,7153},{20,3,1626},{36,23,24},{4,27,2386},{0,21,6243},{0,27,1980},{30,1,2210},{12,1,8},{28,7,132},{42,39,323},{5,0,5419},{4,33,1572},{6,23,21},{0,27,1836},{0,5,5419},{0,27,1836},{40,1,1762},{40,1,1762},{40,1,1762},{24,25,1570},{6,1,1275},{36,23,20},{36,23,20},
{36,15,125},{0,41,1395},{0,45,25},{12,17,4},{12,17,4},{12,17,4},{12,11,8},{38,1,1152},{22,9,4},{22,9,4},{0,45,0},{43,28,1152},{0,45,0},{31,1,1568},{42,1,2},{30,23,5},{4,23,5},{31,1,1568},{32,1,1568},{4,23,5},{0,11,1570},{32,1,1568},{0,11,1570},{24,0,1570},{24,0,1570},{24,0,1570},{24,0,1570},{36,21,1},{36,21,1},{36,21,1},{36,46,4},{0,15,25},
{0,15,25},{28,1,6116},{26,1,1980},{26,5,2386},{40,7,1689},{26,1,7408},{6,17,1620},{22,37,24},{36,41,2375},{0,35,6044},{0,41,1798},{47,1,2385},{44,1,25},{14,37,125},{28,23,315},{35,2,5419},{20,1,1569},{22,37,20},{0,41,1762},{34,5,5419},{0,41,1762},{26,1,1836},{26,1,1836},{26,1,1836},{10,9,1574},{38,1,1363},{22,7,21},{22,7,21},{6,29,132},{0,9,1284},{0,13,8},{44,1,0},
{44,1,0},{44,1,0},{44,41,0},{39,0,1152},{8,23,4},{8,23,4},{16,13,4},{9,28,1152},{16,13,4},{17,6,1568},{14,1,25},{47,37,4},{20,37,1},{17,6,1568},{20,1,1568},{20,37,1},{0,25,1570},{20,1,1568},{0,25,1570},{10,0,1570},{10,0,1570},{10,0,1570},{10,0,1570},{22,5,5},{22,5,5},{22,5,5},{22,31,5},{0,43,2},{0,43,2},{14,1,6434},{12,1,2244},{12,35,2370},
{26,21,1685},{12,1,7724},{38,1,1620},{38,21,36},{22,25,2378},{0,3,5839},{0,9,1724},{31,1,2546},{30,1,90},{46,5,122},{14,7,322},{46,1,5419},{22,1,1602},{8,21,19},{0,9,1720},{26,7,5419},{0,9,1720},{42,1,1924},{42,1,1924},{42,1,1924},{26,23,1577},{24,1,1414},{38,21,27},{38,21,27},{22,13,136},{0,7,1218},{32,43,11},{30,1,9},{30,1,9},{30,1,9},{14,9,10},{23,2,1152},
{24,7,5},{24,7,5},{18,43,1},{20,9,1152},{18,43,1},{27,3,1568},{46,1,73},{31,5,10},{36,5,9},{27,3,1568},{39,9,1568},{36,5,9},{0,9,1576},{39,9,1568},{0,9,1576},{26,0,1576},{26,0,1576},{26,0,1576},{26,0,1576},{38,19,1},{38,19,1},{38,19,1},{38,15,2},{16,27,2},{16,27,2},{30,1,6786},{44,1,2553},{28,3,2363},{42,5,1689},{28,1,8052},{24,1,1671},{24,35,24},
{38,9,2378},{0,1,5715},{0,39,1680},{45,1,2675},{47,1,218},{47,35,130},{30,21,315},{31,1,5419},{24,1,1667},{24,35,20},{0,39,1664},{32,1,5419},{0,39,1664},{28,1,2027},{28,1,2027},{28,1,2027},{12,7,1571},{10,1,1521},{24,5,21},{24,5,21},{8,27,139},{0,21,1169},{2,11,8},{46,1,25},{46,1,25},{46,1,25},{46,39,1},{37,2,1152},{10,21,5},{10,21,5},{18,11,4},{34,7,1152},
{18,11,4},{39,7,1568},{15,1,149},{15,35,4},{22,35,1},{39,7,1568},{26,1,1568},{22,35,1},{0,23,1570},{26,1,1568},{0,23,1570},{12,0,1570},{12,0,1570},{12,0,1570},{12,0,1570},{24,19,4},{24,19,4},{24,19,4},{24,29,5},{2,11,4},{2,11,4},{47,1,7186},{14,1,2859},{14,33,2370},{28,35,1683},{30,1,8313},{40,1,1819},{40,19,24},{8,23,2363},{16,1,5820},{16,7,1676},{13,1,2892},
{15,1,425},{31,3,125},{47,35,321},{45,1,5419},{26,1,1796},{10,19,21},{0,7,1619},{27,9,5419},{0,7,1619},{14,1,2130},{14,1,2130},{14,1,2130},{28,21,1570},{42,1,1608},{40,19,20},{40,19,20},{24,11,136},{0,19,1155},{34,41,11},{31,1,41},{31,1,41},{31,1,41},{47,7,5},{44,1,1152},{26,5,5},{26,5,5},{4,41,2},{26,9,1152},{4,41,2},{25,1,1568},{29,1,232},{29,19,5},
{24,19,4},{25,1,1568},{33,9,1568},{24,19,4},{0,7,1570},{33,9,1568},{0,7,1570},{28,0,1570},{28,0,1570},{28,0,1570},{28,0,1570},{40,17,1},{40,17,1},{40,17,1},{40,13,1},{18,25,2},{18,25,2},{15,1,7706},{46,1,3383},{30,1,2365},{14,3,1685},{47,1,8695},{42,1,2092},{26,33,20},{40,7,2378},{4,1,6099},{2,21,1677},{27,1,3152},{29,1,659},{45,17,125},{31,19,315},{27,3,5419},
{44,1,1993},{26,33,19},{0,21,1593},{39,9,5419},{0,21,1593},{30,1,2265},{30,1,2265},{30,1,2265},{14,5,1572},{28,1,1764},{26,33,19},{26,33,19},{10,25,132},{32,3,1155},{4,9,11},{45,1,72},{45,1,72},{45,1,72},{15,37,1},{31,5,1152},{12,19,1},{12,19,1},{20,9,2},{14,9,1152},{20,9,2},{23,17,1568},{27,1,388},{43,33,2},{40,33,1},{23,17,1568},{45,17,1568},{40,33,1},
{0,21,1568},{45,17,1568},{0,21,1568},{14,0,1568},{14,0,1568},{14,0,1568},{14,0,1568},{26,1,2},{26,1,2},{26,1,2},{26,27,2},{4,39,2},{4,39,2},{45,1,8016},{47,1,3837},{47,1,2397},{30,17,1685},{31,1,9093},{28,1,2484},{42,17,36},{26,21,2370},{36,1,6379},{18,5,1676},{11,1,3345},{13,1,971},{13,1,134},{15,33,326},{39,7,5419},{30,1,2185},{12,17,22},{0,5,1577},{26,1,5419},
{0,5,1577},{47,1,2393},{47,1,2393},{47,1,2393},{30,19,1576},{14,1,1890},{42,17,27},{42,17,27},{42,9,131},{2,17,1152},{36,39,10},{13,1,130},{13,1,130},{13,1,130},{45,5,5},{17,2,1152},{28,33,1},{28,33,1},{22,39,1},{16,1,1152},{22,39,1},{21,3,1568},{25,1,562},{27,1,4},{40,1,4},{21,3,1568},{43,1,1568},{40,1,4},{0,5,1576},{43,1,1568},{0,5,1576},{30,0,1576},
{30,0,1576},{30,0,1576},{30,0,1576},{42,1,10},{42,1,10},{42,1,10},{42,11,5},{36,23,4},{36,23,4},{13,1,7700},{45,1,3925},{31,1,2566},{47,17,1637},{45,1,8460},{14,1,2285},{28,1,20},{42,5,1958},{38,1,5932},{4,35,1332},{9,1,2987},{11,1,981},{43,1,180},{29,17,219},{9,3,4803},{47,1,1925},{44,1,5},{32,35,1258},{31,3,4803},{32,35,1258},{31,1,2566},{31,1,2566},{31,1,2566},
{47,3,1577},{30,1,2054},{28,1,20},{28,1,20},{12,23,132},{34,1,1155},{6,7,9},{43,1,180},{43,1,180},{43,1,180},{13,35,1},{29,3,1152},{14,17,1},{14,17,1},{22,7,4},{43,9,1152},{22,7,4},{21,1,1250},{39,1,482},{41,1,1},{28,1,0},{21,1,1250},{41,1,1250},{28,1,0},{0,35,1258},{41,1,1250},{0,35,1258},{47,0,1576},{47,0,1576},{47,0,1576},{47,0,1576},{28,1,20},
{28,1,20},{28,1,20},{28,25,5},{6,37,2},{6,37,2},{43,1,7164},{29,1,3836},{45,1,2668},{31,1,1579},{13,1,7780},{30,1,2041},{14,1,57},{28,35,1474},{24,1,5308},{36,19,927},{9,1,2475},{11,1,901},{11,1,225},{43,17,110},{37,7,4056},{15,1,1590},{30,1,5},{18,19,883},{30,1,4056},{18,19,883},{45,1,2668},{45,1,2668},{45,1,2668},{31,17,1570},{47,1,2214},{14,1,57},{14,1,57},
{28,7,136},{36,1,1186},{38,37,10},{11,1,225},{11,1,225},{11,1,225},{43,3,5},{39,11,1152},{30,1,5},{30,1,5},{8,37,2},{22,1,1152},{8,37,2},{5,1,882},{7,1,325},{9,1,1},{46,1,1},{5,1,882},{9,1,882},{46,1,1},{0,19,882},{9,1,882},{0,19,882},{31,0,1570},{31,0,1570},{31,0,1570},{31,0,1570},{14,1,41},{14,1,41},{14,1,41},{44,9,5},{38,21,4},
{38,21,4},{11,1,6493},{13,1,3841},{13,1,2880},{45,1,1574},{43,1,7071},{47,1,1822},{46,1,185},{44,19,1046},{26,1,4761},{22,3,570},{23,1,2034},{9,1,797},{25,1,317},{11,17,34},{23,17,3318},{13,1,1221},{31,1,37},{20,3,546},{45,17,3318},{20,3,546},{13,1,2880},{13,1,2880},{13,1,2880},{45,1,1574},{45,1,2443},{46,1,185},{46,1,185},{14,21,131},{38,1,1275},{24,5,6},{25,1,317},
{25,1,317},{25,1,317},{11,33,1},{25,5,1152},{31,1,37},{31,1,37},{24,5,2},{10,1,1152},{24,5,2},{3,3,545},{21,1,208},{7,1,1},{29,1,0},{3,3,545},{23,1,545},{29,1,0},{0,3,545},{23,1,545},{0,3,545},{45,0,1570},{45,0,1570},{45,0,1570},{45,0,1570},{46,1,85},{46,1,85},{46,1,85},{30,23,1},{8,35,1},{8,35,1},{41,1,6095},{11,1,3885},{43,1,3099},
{13,1,1636},{11,1,6422},{45,1,1767},{31,1,345},{30,3,710},{44,1,4358},{8,33,330},{7,1,1698},{39,1,753},{9,1,388},{41,1,9},{3,25,2753},{27,1,1018},{29,1,80},{22,33,317},{29,1,2753},{22,33,317},{43,1,3099},{43,1,3099},{43,1,3099},{13,1,1636},{29,1,2628},{31,1,345},{31,1,345},{46,5,134},{40,1,1395},{10,35,17},{9,1,388},{9,1,388},{9,1,388},{41,1,9},{9,3,1152},
{29,1,80},{29,1,80},{26,35,4},{31,3,1152},{26,35,4},{33,3,313},{35,1,113},{21,1,0},{41,1,0},{33,3,313},{21,1,313},{41,1,0},{0,33,317},{21,1,313},{0,33,317},{29,0,1576},{29,0,1576},{29,0,1576},{29,0,1576},{47,1,125},{47,1,125},{47,1,125},{46,37,5},{40,19,4},{40,19,4},{9,1,5661},{11,1,3901},{11,1,3225},{43,1,1739},{41,1,5978},{29,1,1685},{45,1,542},
{47,33,455},{14,1,3994},{10,33,159},{21,1,1418},{7,1,739},{23,1,482},{9,1,16},{21,17,2273},{11,1,878},{27,1,170},{10,33,158},{17,21,2273},{10,33,158},{11,1,3225},{11,1,3225},{11,1,3225},{43,1,1739},{43,1,2875},{45,1,542},{45,1,542},{47,19,125},{42,1,1584},{26,3,6},{23,1,482},{23,1,482},{23,1,482},{9,1,16},{23,3,1152},{27,1,170},{27,1,170},{26,3,2},{43,3,1152},
{26,3,2},{17,3,145},{19,1,45},{35,1,1},{23,1,0},{17,3,145},{35,1,145},{23,1,0},{0,33,157},{35,1,145},{0,33,157},{43,0,1570},{43,0,1570},{43,0,1570},{43,0,1570},{15,1,185},{15,1,185},{15,1,185},{31,21,5},{10,33,2},{10,33,2},{39,1,5341},{9,1,3965},{25,1,3462},{11,1,1889},{9,1,5505},{13,1,1765},{13,1,804},{31,33,282},{47,1,3750},{42,17,45},{5,1,1210},
{21,1,761},{37,1,596},{23,1,73},{17,39,1878},{9,1,781},{41,1,292},{42,17,41},{39,17,1878},{42,17,41},{25,1,3462},{25,1,3462},{25,1,3462},{11,1,1889},{11,1,3058},{13,1,804},{13,1,804},{15,3,130},{44,1,1798},{12,33,17},{37,1,596},{37,1,596},{37,1,596},{23,1,73},{3,25,1152},{41,1,292},{41,1,292},{28,33,4},{29,1,1152},{28,33,4},{1,3,41},{33,1,13},{3,1,1},
{5,1,1},{1,3,41},{3,1,41},{5,1,1},{0,17,41},{3,1,41},{0,17,41},{27,0,1570},{27,0,1570},{27,0,1570},{27,0,1570},{29,1,244},{29,1,244},{29,1,244},{15,5,1},{26,1,4},{26,1,4},{23,1,5128},{39,1,4028},{9,1,3659},{25,1,2169},{39,1,5148},{11,1,1917},{27,1,1208},{45,17,166},{29,1,3628},{28,1,8},{35,1,1089},{5,1,797},{5,1,697},{37,1,221},{3,3,1536},
{7,1,706},{23,1,433},{44,1,0},{3,3,1536},{44,1,0},{9,1,3659},{9,1,3659},{9,1,3659},{25,1,2169},{25,1,3366},{27,1,1208},{27,1,1208},{45,17,141},{47,1,2105},{28,1,8},{5,1,697},{5,1,697},{5,1,697},{37,1,221},{19,5,1152},{23,1,433},{23,1,433},{44,1,0},{37,3,1152},{44,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},
{0,1,0},{1,1,0},{0,1,0},{41,0,1568},{41,0,1568},{41,0,1568},{41,0,1568},{13,1,338},{13,1,338},{13,1,338},{29,19,1},{28,1,8},{28,1,8},{7,1,4416},{23,1,3545},{39,1,3251},{9,1,2027},{23,1,4372},{41,1,1771},{11,1,1097},{13,17,76},{29,1,2956},{14,1,37},{19,1,753},{35,1,557},{35,1,493},{21,1,148},{17,5,1067},{21,1,513},{7,1,289},{47,1,0},{5,17,1067},
{47,1,0},{39,1,3251},{39,1,3251},{39,1,3251},{9,1,2027},{9,1,2819},{11,1,1097},{11,1,1097},{13,17,51},{47,1,1769},{14,1,37},{35,1,493},{35,1,493},{35,1,493},{21,1,148},{5,1,802},{7,1,289},{7,1,289},{47,1,0},{9,1,802},{47,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{25,0,1576},
{25,0,1576},{25,0,1576},{25,0,1576},{11,1,421},{11,1,421},{11,1,421},{13,33,2},{14,1,37},{14,1,37},{21,1,3786},{7,1,3105},{7,1,2880},{23,1,1929},{7,1,3648},{9,1,1532},{25,1,1078},{27,1,20},{13,1,2452},{47,1,89},{3,1,456},{19,1,353},{19,1,317},{35,1,89},{33,33,683},{5,1,321},{21,1,193},{13,1,1},{33,33,683},{13,1,1},{7,1,2880},{7,1,2880},{7,1,2880},
{23,1,1929},{39,1,2411},{25,1,1078},{25,1,1078},{27,1,20},{29,1,1451},{47,1,89},{19,1,317},{19,1,317},{19,1,317},{35,1,89},{3,3,512},{21,1,193},{21,1,193},{13,1,1},{3,3,512},{13,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{39,0,1570},{39,0,1570},{39,0,1570},{39,0,1570},{41,1,505},
{41,1,505},{41,1,505},{27,17,5},{47,1,89},{47,1,89},{21,1,3210},{21,1,2729},{37,1,2571},{7,1,1825},{21,1,3015},{39,1,1388},{9,1,1027},{11,1,5},{11,1,2032},{15,1,185},{3,1,264},{3,1,189},{3,1,164},{19,1,45},{17,3,384},{35,1,164},{35,1,100},{25,1,1},{35,1,384},{25,1,1},{37,1,2571},{37,1,2571},{37,1,2571},{7,1,1825},{7,1,2112},{9,1,1027},{9,1,1027},
{11,1,5},{13,1,1235},{15,1,185},{3,1,164},{3,1,164},{3,1,164},{19,1,45},{33,3,288},{35,1,100},{35,1,100},{25,1,1},{21,1,288},{25,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{23,0,1576},{23,0,1576},{23,0,1576},{23,0,1576},{9,1,586},{9,1,586},{9,1,586},{11,1,5},{15,1,185},
{15,1,185},{0,37,2665},{0,45,274},{0,44,8},{0,26,1025},{0,15,5885},{0,12,3666},{0,10,1742},{0,38,4406},{0,8,6359},{0,22,4730},{0,37,2665},{0,45,274},{0,44,8},{0,26,1025},{22,4,5885},{0,12,3666},{0,10,1742},{0,38,4406},{15,0,5885},{0,38,4406},{0,28,0},{0,28,0},{0,28,0},{0,6,1},{0,22,545},{0,20,208},{0,20,208},{0,18,340},{0,18,593},{0,18,376},{0,28,0},
{0,28,0},{0,28,0},{0,6,1},{2,2,545},{0,20,208},{0,20,208},{0,18,340},{22,0,545},{0,18,340},{28,0,2665},{0,45,274},{0,44,8},{0,26,1025},{28,0,2665},{37,0,2665},{0,26,1025},{0,24,2665},{37,0,2665},{0,24,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,3,2665},{0,43,169},{0,14,17},
{0,12,865},{0,13,6669},{0,28,3898},{0,42,1825},{0,8,4826},{0,24,7263},{0,38,5231},{0,3,2665},{0,43,169},{0,14,17},{0,12,865},{24,2,6669},{0,28,3898},{0,42,1825},{0,8,4826},{13,0,6669},{0,8,4826},{0,46,1},{0,46,1},{0,46,1},{0,8,4},{0,8,841},{0,6,306},{0,6,306},{0,34,520},{0,34,917},{0,34,584},{0,46,1},{0,46,1},{0,46,1},{0,8,4},{4,0,841},
{0,6,306},{0,6,306},{0,34,520},{8,0,841},{0,34,520},{44,2,2665},{0,43,169},{16,14,2},{0,12,865},{44,2,2665},{3,0,2665},{0,12,865},{0,40,2669},{3,0,2665},{0,40,2669},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,1,2669},{0,41,85},{16,46,79},{0,44,725},{0,11,7538},{0,14,4214},{0,12,1842},
{0,8,5354},{0,10,8241},{0,8,5795},{0,1,2669},{0,41,85},{16,46,54},{0,44,725},{24,4,7538},{0,14,4214},{0,12,1842},{0,8,5354},{11,0,7538},{0,8,5354},{0,29,1},{0,29,1},{0,29,1},{0,24,4},{0,40,1201},{0,22,458},{0,22,458},{0,4,730},{0,4,1325},{0,4,830},{0,29,1},{0,29,1},{0,29,1},{0,24,4},{20,0,1201},{0,22,458},{0,22,458},{0,4,730},{40,0,1201},
{0,4,730},{30,2,2665},{0,41,85},{32,46,5},{0,44,725},{30,2,2665},{35,2,2665},{0,44,725},{0,26,2665},{35,2,2665},{0,26,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{16,1,2799},{0,9,29},{16,31,167},{0,14,650},{0,9,8493},{0,46,4485},{0,44,1934},{0,40,5878},{0,26,9333},{0,40,6503},{16,1,2774},
{0,9,29},{16,31,142},{0,14,650},{42,0,8493},{0,46,4485},{0,44,1934},{0,40,5878},{9,0,8493},{0,40,5878},{0,11,0},{0,11,0},{0,11,0},{0,26,1},{0,26,1625},{0,24,629},{0,24,629},{0,20,986},{0,20,1793},{0,20,1130},{0,11,0},{0,11,0},{0,11,0},{0,26,1},{36,0,1625},{0,24,629},{0,24,629},{0,20,986},{26,0,1625},{0,20,986},{2,1,2665},{0,9,29},{18,47,1},
{0,14,650},{2,1,2665},{1,2,2665},{0,14,650},{0,42,2669},{1,2,2665},{0,42,2669},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{32,1,3171},{0,7,4},{16,15,315},{0,46,514},{0,7,9669},{0,31,4865},{0,46,2114},{0,10,6505},{0,12,10663},{0,10,7181},{32,1,3050},{0,7,4},{32,15,274},{0,46,514},{26,4,9669},
{0,31,4865},{0,46,2114},{0,10,6505},{7,0,9669},{0,10,6505},{0,23,0},{0,23,0},{0,23,0},{0,12,1},{0,28,2178},{0,10,820},{0,10,820},{0,6,1348},{0,6,2405},{0,20,1553},{0,23,0},{0,23,0},{0,23,0},{0,12,1},{2,24,2178},{0,10,820},{0,10,820},{0,6,1348},{28,0,2178},{0,6,1348},{29,0,2665},{0,7,4},{4,31,9},{0,46,514},{29,0,2665},{17,4,2665},{0,46,514},
{0,28,2665},{17,4,2665},{0,28,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,1,3529},{16,21,35},{32,29,444},{0,31,474},{0,19,9670},{0,45,4529},{0,46,1634},{0,42,6265},{0,28,10919},{0,26,7149},{18,1,3146},{16,21,10},{2,29,285},{0,31,474},{14,0,9669},{0,45,4529},{0,46,1634},{0,42,6265},{8,10,9669},
{0,42,6265},{16,21,34},{16,21,34},{16,21,34},{16,44,34},{0,46,2180},{0,12,610},{0,12,610},{0,22,1184},{0,22,2517},{0,22,1473},{16,21,9},{16,21,9},{16,21,9},{16,44,9},{22,2,2178},{0,12,610},{0,12,610},{0,22,1184},{42,2,2178},{0,22,1184},{13,2,2665},{16,21,1},{20,45,0},{0,31,410},{13,2,2665},{3,6,2665},{0,31,410},{0,14,2677},{3,6,2665},{0,14,2677},{16,0,34},
{16,0,34},{16,0,34},{16,0,34},{0,34,0},{0,34,0},{0,34,0},{0,32,1},{0,32,10},{0,32,10},{18,1,3971},{32,35,150},{2,43,644},{16,45,534},{0,1,9669},{0,43,4214},{0,31,1226},{0,28,5954},{0,14,11246},{0,12,6951},{4,1,3285},{2,5,4},{34,13,274},{32,15,483},{0,1,9669},{0,43,4214},{0,31,1226},{0,28,5954},{1,0,9669},{0,28,5954},{16,3,146},{16,3,146},{16,3,146},
{16,30,147},{0,29,2180},{0,28,458},{0,28,458},{0,8,1018},{0,8,2691},{0,38,1419},{2,21,0},{2,21,0},{2,21,0},{2,14,1},{8,2,2178},{0,28,458},{0,28,458},{0,8,1018},{30,2,2178},{0,8,1018},{27,2,2665},{2,5,4},{6,29,9},{0,15,338},{27,2,2665},{35,8,2665},{0,15,338},{0,30,2665},{35,8,2665},{0,30,2665},{16,0,146},{16,0,146},{16,0,146},{16,0,146},{0,6,1},
{0,6,1},{0,6,1},{0,18,4},{0,18,40},{0,18,40},{34,1,4603},{32,3,307},{2,11,925},{32,29,667},{16,1,9779},{0,41,3905},{0,45,913},{0,44,5653},{0,46,11530},{0,44,6878},{36,1,3390},{18,19,11},{4,27,269},{2,29,474},{18,3,9669},{0,41,3905},{0,45,913},{0,44,5653},{45,8,9669},{0,44,5653},{32,1,291},{32,1,291},{32,1,291},{32,47,291},{0,11,2178},{0,46,305},{0,46,305},
{0,40,925},{0,10,2872},{0,8,1427},{34,5,10},{34,5,10},{34,5,10},{18,46,9},{24,4,2178},{0,46,305},{0,46,305},{0,40,925},{11,0,2178},{0,40,925},{8,1,2665},{18,19,2},{22,43,0},{0,29,265},{8,1,2665},{1,8,2665},{0,29,265},{0,46,2677},{1,8,2665},{0,46,2677},{32,0,290},{32,0,290},{32,0,290},{32,0,290},{0,24,1},{0,24,1},{0,24,1},{0,20,1},{0,34,100},
{0,34,100},{20,1,5538},{2,17,582},{34,41,1298},{2,43,882},{2,1,10086},{0,9,3618},{0,43,581},{0,30,5418},{0,15,11905},{0,14,6895},{22,1,3586},{4,3,3},{36,11,273},{34,43,478},{15,2,9669},{0,9,3618},{0,43,581},{0,30,5418},{33,4,9669},{0,30,5418},{2,1,570},{2,1,570},{2,1,570},{2,15,549},{0,23,2178},{0,15,185},{0,15,185},{0,10,765},{0,26,3090},{0,10,1441},{4,3,2},
{4,3,2},{4,3,2},{4,47,2},{38,10,2178},{0,15,185},{0,15,185},{0,10,765},{23,0,2178},{0,10,765},{23,0,2665},{4,3,2},{8,11,8},{0,43,181},{23,0,2665},{18,9,2665},{0,43,181},{0,31,2665},{18,9,2665},{0,31,2665},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,28,0},{0,28,0},{0,28,0},{0,6,1},{0,20,208},{0,20,208},{36,1,6378},{18,1,926},{4,9,1734},
{18,27,1131},{18,1,10495},{0,7,3434},{0,27,353},{0,47,5186},{0,45,12293},{0,46,6789},{8,1,3785},{20,17,10},{6,25,270},{4,27,491},{43,0,9669},{0,7,3434},{0,27,353},{0,47,5186},{19,6,9669},{0,47,5186},{18,1,922},{18,1,922},{18,1,922},{18,45,842},{0,5,2180},{0,29,106},{0,29,106},{0,42,666},{0,12,3301},{0,26,1514},{36,3,4},{36,3,4},{36,3,4},{36,15,8},{28,2,2178},
{0,29,106},{0,29,106},{0,42,666},{42,8,2178},{0,42,666},{7,2,2665},{20,17,1},{24,41,2},{0,11,136},{7,2,2665},{2,7,2665},{0,11,136},{0,15,2669},{2,7,2665},{0,15,2669},{18,0,841},{18,0,841},{18,0,841},{18,0,841},{0,46,1},{0,46,1},{0,46,1},{0,8,4},{0,6,306},{0,6,306},{6,1,7490},{34,1,1446},{4,39,2218},{18,41,1450},{34,1,11103},{0,21,3209},{0,41,187},
{0,31,4909},{0,43,12686},{0,31,6845},{40,1,3938},{6,1,3},{38,9,273},{36,41,478},{11,0,9669},{0,21,3209},{0,41,187},{0,31,4909},{5,8,9669},{0,31,4909},{34,1,1382},{34,1,1382},{34,1,1382},{34,13,1213},{0,17,2178},{0,27,40},{0,27,40},{0,28,544},{0,44,3603},{0,12,1541},{6,1,2},{6,1,2},{6,1,2},{6,45,2},{16,3,2178},{0,27,40},{0,27,40},{0,28,544},{17,0,2178},
{0,28,544},{21,2,2665},{6,1,2},{10,9,8},{0,25,90},{21,2,2665},{16,5,2665},{0,25,90},{0,29,2665},{16,5,2665},{0,29,2665},{34,0,1213},{34,0,1213},{34,0,1213},{34,0,1213},{0,29,1},{0,29,1},{0,29,1},{0,24,4},{0,22,458},{0,22,458},{22,1,8710},{20,1,2145},{20,7,2826},{34,25,1850},{20,1,11913},{0,35,3073},{0,9,86},{0,15,4721},{0,41,13118},{0,15,6837},{26,1,4118},
{38,1,29},{8,23,258},{6,25,491},{24,3,9669},{0,35,3073},{0,9,86},{0,15,4721},{3,24,9669},{0,15,4721},{4,1,1973},{4,1,1973},{4,1,1973},{34,27,1630},{16,1,2221},{0,25,10},{0,25,10},{0,44,450},{0,46,3876},{0,28,1633},{38,1,4},{38,1,4},{38,1,4},{38,29,8},{30,4,2178},{0,25,10},{0,25,10},{0,44,450},{15,8,2178},{0,44,450},{14,1,2665},{8,1,25},{26,39,1},
{0,9,61},{14,1,2665},{4,5,2665},{0,9,61},{0,13,2669},{4,5,2665},{0,13,2669},{34,0,1629},{34,0,1629},{34,0,1629},{34,0,1629},{0,11,0},{0,11,0},{0,11,0},{0,26,1},{0,24,629},{0,24,629},{8,1,10335},{36,1,3100},{36,21,3546},{4,39,2361},{36,1,12883},{0,33,2901},{0,23,25},{0,13,4485},{0,25,13589},{0,45,6982},{42,1,4353},{24,1,117},{40,37,270},{38,39,491},{29,12,9669},
{0,33,2901},{0,23,25},{0,13,4485},{26,13,9669},{0,13,4485},{36,1,2739},{36,1,2739},{36,1,2739},{4,41,2181},{32,1,2427},{0,39,4},{0,39,4},{0,46,353},{0,31,4242},{0,14,1830},{24,1,17},{24,1,17},{24,1,17},{8,43,2},{45,0,2178},{16,39,2},{16,39,2},{0,46,353},{27,8,2178},{0,46,353},{17,0,2665},{40,1,73},{12,7,5},{0,23,25},{17,0,2665},{18,3,2665},{0,23,25},
{0,27,2665},{18,3,2665},{0,27,2665},{4,0,2180},{4,0,2180},{4,0,2180},{4,0,2180},{0,23,0},{0,23,0},{0,23,0},{0,12,1},{0,10,820},{0,10,820},{24,1,11582},{6,1,4137},{6,35,4199},{20,7,2845},{6,1,13958},{0,1,2826},{0,37,31},{0,43,4255},{0,39,13958},{0,43,6958},{28,1,4610},{10,1,278},{10,21,261},{8,23,481},{37,0,9669},{0,1,2825},{16,37,18},{0,43,4254},{36,9,9669},
{0,43,4254},{36,1,3454},{36,1,3454},{36,1,3454},{20,9,2665},{18,1,2740},{16,7,26},{16,7,26},{0,47,278},{0,15,4491},{0,46,1858},{40,1,29},{40,1,29},{40,1,29},{40,27,5},{29,2,2178},{32,23,2},{32,23,2},{0,47,277},{35,6,2178},{0,47,277},{1,2,2665},{42,1,157},{28,37,2},{0,37,5},{1,2,2665},{2,1,2665},{0,37,5},{0,11,2677},{2,1,2665},{0,11,2677},{20,0,2665},
{20,0,2665},{20,0,2665},{20,0,2665},{0,5,2},{0,5,2},{0,5,2},{0,14,5},{0,12,981},{0,12,981},{40,1,12090},{38,1,4554},{22,19,4203},{36,21,2837},{38,1,14410},{32,1,2930},{32,21,37},{0,27,4187},{0,37,13477},{0,27,6222},{14,1,4826},{42,1,465},{42,35,270},{40,7,488},{5,0,9669},{2,1,2921},{2,21,25},{0,27,4106},{0,5,9669},{0,27,4106},{22,1,3593},{22,1,3593},{22,1,3593},
{6,39,2677},{34,1,2840},{32,21,21},{32,21,21},{16,15,277},{0,43,4186},{0,31,1450},{26,1,52},{26,1,52},{26,1,52},{10,41,2},{43,2,2178},{18,7,4},{18,7,4},{0,15,205},{21,8,2178},{0,15,205},{13,3,2665},{44,1,260},{14,5,5},{0,5,8},{13,3,2665},{20,1,2665},{0,5,8},{0,25,2665},{20,1,2665},{0,25,2665},{6,0,2677},{6,0,2677},{6,0,2677},{6,0,2677},{32,35,4},
{32,35,4},{32,35,4},{32,30,5},{0,28,745},{0,28,745},{26,1,12542},{24,1,4990},{8,33,4178},{22,5,2845},{24,1,14719},{2,1,3162},{18,35,34},{16,41,4197},{0,5,13013},{0,41,5610},{46,1,5121},{28,1,754},{12,19,270},{26,21,484},{30,3,9669},{4,1,3110},{18,35,18},{0,41,3929},{42,9,9669},{0,41,3929},{8,1,3770},{8,1,3770},{8,1,3770},{22,7,2666},{20,1,3011},{18,5,26},{18,5,26},
{32,45,261},{0,27,3822},{0,15,1062},{12,1,98},{12,1,98},{12,1,98},{42,25,5},{38,1,2178},{34,21,2},{34,21,2},{0,29,160},{43,28,2178},{0,29,160},{43,1,2665},{30,1,388},{30,35,2},{16,35,2},{43,1,2665},{8,1,2665},{16,35,2},{0,9,2677},{8,1,2665},{0,9,2677},{22,0,2665},{22,0,2665},{22,0,2665},{22,0,2665},{2,3,2},{2,3,2},{2,3,2},{2,46,5},{0,46,578},
{0,46,578},{12,1,13222},{40,1,5610},{40,17,4197},{38,19,2849},{26,1,15194},{4,1,3497},{34,19,34},{32,9,4178},{0,3,12493},{0,25,4990},{47,1,5429},{14,1,1062},{44,33,261},{42,5,499},{46,1,9669},{36,1,3341},{4,19,26},{0,9,3770},{26,7,9669},{0,9,3770},{40,1,3929},{40,1,3929},{40,1,3929},{8,37,2678},{6,1,3174},{34,19,18},{34,19,18},{18,13,270},{0,25,3462},{0,29,754},{28,1,160},
{28,1,160},{28,1,160},{12,39,5},{39,0,2178},{20,35,2},{20,35,2},{0,13,98},{9,28,2178},{0,13,98},{11,1,2665},{47,1,578},{47,3,5},{2,3,2},{11,1,2665},{42,1,2665},{2,3,2},{0,23,2665},{42,1,2665},{0,23,2665},{8,0,2677},{8,0,2677},{8,0,2677},{8,0,2677},{34,17,2},{34,17,2},{34,17,2},{34,31,2},{0,31,388},{0,31,388},{28,1,13826},{26,1,6222},{26,1,4187},
{24,3,2835},{42,1,15614},{36,1,3886},{20,33,37},{18,23,4203},{0,17,12134},{0,39,4554},{45,1,5669},{30,1,1450},{14,17,277},{28,19,484},{31,1,9669},{38,1,3605},{20,33,21},{0,23,3593},{32,1,9669},{0,23,3593},{26,1,4106},{26,1,4106},{26,1,4106},{24,5,2665},{22,1,3378},{20,3,25},{20,3,25},{34,43,270},{0,39,3206},{0,43,465},{14,1,205},{14,1,205},{14,1,205},{44,7,5},{23,2,2178},
{36,3,4},{36,3,4},{0,27,52},{20,9,2178},{0,27,52},{39,3,2665},{29,1,745},{31,33,5},{34,33,4},{39,3,2665},{14,1,2665},{34,33,4},{0,7,2677},{14,1,2665},{0,7,2677},{24,0,2665},{24,0,2665},{24,0,2665},{24,0,2665},{4,1,8},{4,1,8},{4,1,8},{4,15,5},{0,45,260},{0,45,260},{14,1,14322},{42,1,6958},{42,1,4255},{40,17,2837},{28,1,16150},{38,1,4422},{36,1,31},
{34,7,4199},{0,1,11889},{0,7,4137},{29,1,6018},{47,1,1858},{46,1,278},{44,3,499},{45,1,9669},{40,1,3905},{6,17,26},{0,37,3454},{27,9,9669},{0,37,3454},{42,1,4254},{42,1,4254},{42,1,4254},{40,19,2678},{24,1,3540},{36,17,18},{36,17,18},{20,11,261},{0,37,2979},{0,11,278},{46,1,277},{46,1,277},{46,1,277},{14,37,5},{37,2,2178},{22,33,2},{22,33,2},{0,41,29},{34,7,2178},
{0,41,29},{7,3,2665},{13,1,981},{15,1,5},{4,1,2},{7,3,2665},{15,1,2665},{4,1,2},{0,21,2665},{15,1,2665},{0,21,2665},{10,0,2677},{10,0,2677},{10,0,2677},{10,0,2677},{36,1,5},{36,1,5},{36,1,5},{36,29,2},{0,43,157},{0,43,157},{30,1,13683},{44,1,6982},{12,1,4485},{26,17,2739},{14,1,15204},{24,1,4100},{22,1,25},{20,37,3546},{0,1,10840},{0,37,3100},{13,1,5451},
{15,1,1830},{47,1,353},{30,33,333},{39,11,8712},{26,1,3507},{38,1,4},{0,37,2739},{22,1,8712},{0,37,2739},{12,1,4485},{12,1,4485},{12,1,4485},{26,3,2665},{40,1,3736},{22,1,25},{22,1,25},{36,41,270},{0,5,2779},{0,25,117},{47,1,353},{47,1,353},{47,1,353},{46,5,5},{44,1,2178},{38,17,2},{38,17,2},{0,25,17},{26,9,2178},{0,25,17},{3,25,2178},{11,1,820},{13,1,1},
{22,1,0},{3,25,2178},{29,1,2178},{22,1,0},{0,5,2180},{29,1,2178},{0,5,2180},{26,0,2665},{26,0,2665},{26,0,2665},{26,0,2665},{22,1,25},{22,1,25},{22,1,25},{6,13,5},{0,41,73},{0,41,73},{47,1,12750},{14,1,6837},{14,1,4721},{12,1,2694},{30,1,14061},{40,1,3663},{8,1,86},{6,21,2826},{2,1,9775},{0,21,2145},{11,1,4689},{29,1,1633},{45,1,450},{47,17,195},{17,10,7578},
{44,1,2961},{24,1,10},{0,5,1973},{24,1,7578},{0,5,1973},{14,1,4721},{14,1,4721},{14,1,4721},{12,17,2673},{26,1,3965},{8,1,86},{8,1,86},{22,9,258},{0,3,2571},{0,39,29},{45,1,450},{45,1,450},{45,1,450},{47,19,5},{31,5,2178},{24,1,10},{24,1,10},{0,39,4},{14,9,2178},{0,39,4},{37,1,1625},{25,1,629},{27,1,1},{10,1,0},{37,1,1625},{27,1,1625},{10,1,0},
{0,35,1629},{27,1,1625},{0,35,1629},{12,0,2669},{12,0,2669},{12,0,2669},{12,0,2669},{8,1,61},{8,1,61},{8,1,61},{38,27,1},{0,9,25},{0,9,25},{15,1,12134},{30,1,6845},{30,1,4909},{28,1,2666},{47,1,13165},{26,1,3426},{40,1,187},{38,5,2218},{2,1,9023},{0,35,1446},{11,1,4097},{13,1,1541},{29,1,544},{31,17,90},{39,7,6661},{14,1,2525},{26,1,40},{0,35,1382},{26,1,6661},
{0,35,1382},{30,1,4909},{30,1,4909},{30,1,4909},{28,1,2666},{12,1,4230},{40,1,187},{40,1,187},{8,39,273},{0,17,2453},{0,7,3},{29,1,544},{29,1,544},{29,1,544},{15,3,5},{17,2,2178},{26,1,40},{26,1,40},{0,7,2},{16,1,2178},{0,7,2},{21,1,1201},{23,1,458},{25,1,4},{28,1,1},{21,1,1201},{41,1,1201},{28,1,1},{0,35,1213},{41,1,1201},{0,35,1213},{28,0,2665},
{28,0,2665},{28,0,2665},{28,0,2665},{24,1,90},{24,1,90},{24,1,90},{8,11,8},{0,7,2},{0,7,2},{45,1,11330},{47,1,6789},{46,1,5186},{14,1,2694},{47,1,12365},{42,1,3246},{26,1,353},{8,5,1734},{20,1,8393},{0,19,926},{25,1,3614},{27,1,1514},{43,1,666},{45,17,35},{9,3,5829},{47,1,2177},{28,1,106},{0,19,922},{31,3,5829},{0,19,922},{46,1,5186},{46,1,5186},{46,1,5186},
{14,1,2694},{14,1,4504},{26,1,353},{26,1,353},{24,7,270},{16,1,2450},{16,21,10},{43,1,666},{43,1,666},{43,1,666},{45,33,2},{29,3,2178},{28,1,106},{28,1,106},{2,37,4},{43,9,2178},{2,37,4},{5,1,841},{7,1,306},{9,1,4},{47,1,1},{5,1,841},{9,1,841},{47,1,1},{0,19,841},{9,1,841},{0,19,841},{14,0,2669},{14,0,2669},{14,0,2669},{14,0,2669},{10,1,136},
{10,1,136},{10,1,136},{40,25,2},{16,21,1},{16,21,1},{29,1,10834},{15,1,6895},{31,1,5418},{30,1,2786},{45,1,11530},{44,1,3154},{42,1,581},{40,35,1298},{36,1,7857},{16,3,582},{9,1,3105},{11,1,1441},{11,1,765},{13,1,8},{37,7,5082},{47,1,1905},{14,1,185},{0,3,570},{30,1,5082},{0,3,570},{31,1,5418},{31,1,5418},{31,1,5418},{30,1,2786},{30,1,4724},{42,1,581},{42,1,581},
{10,37,273},{2,1,2587},{2,5,3},{11,1,765},{11,1,765},{11,1,765},{13,1,8},{39,11,2178},{14,1,185},{14,1,185},{2,5,2},{22,1,2178},{2,5,2},{3,3,545},{21,1,208},{7,1,1},{29,1,0},{3,3,545},{23,1,545},{29,1,0},{0,3,545},{23,1,545},{0,3,545},{30,0,2665},{30,0,2665},{30,0,2665},{30,0,2665},{42,1,181},{42,1,181},{42,1,181},{10,9,8},{2,5,2},
{2,5,2},{13,1,10311},{45,1,6878},{45,1,5653},{47,1,2933},{29,1,10827},{14,1,3066},{44,1,913},{10,3,925},{8,1,7297},{2,33,307},{39,1,2707},{9,1,1427},{41,1,925},{27,1,32},{23,17,4344},{29,1,1611},{47,1,305},{0,33,291},{45,17,4344},{0,33,291},{45,1,5653},{45,1,5653},{45,1,5653},{47,1,2933},{47,1,5051},{44,1,913},{44,1,913},{26,5,269},{4,1,2859},{18,19,11},{41,1,925},
{41,1,925},{41,1,925},{27,1,32},{25,5,2178},{47,1,305},{47,1,305},{18,19,10},{10,1,2178},{18,19,10},{33,3,288},{35,1,100},{21,1,1},{25,1,1},{33,3,288},{21,1,288},{25,1,1},{0,33,290},{21,1,288},{0,33,290},{47,0,2677},{47,0,2677},{47,0,2677},{47,0,2677},{28,1,265},{28,1,265},{28,1,265},{42,23,0},{18,19,2},{18,19,2},{11,1,9837},{13,1,6951},{29,1,5954},
{15,1,3166},{13,1,10279},{47,1,3138},{30,1,1226},{42,3,644},{40,1,6929},{34,33,150},{7,1,2436},{39,1,1419},{9,1,1018},{11,1,101},{3,25,3779},{13,1,1475},{29,1,458},{2,17,146},{29,1,3779},{2,17,146},{29,1,5954},{29,1,5954},{29,1,5954},{15,1,3166},{31,1,5396},{30,1,1226},{30,1,1226},{12,35,274},{36,1,3147},{4,3,4},{9,1,1018},{9,1,1018},{9,1,1018},{11,1,101},{9,3,2178},
{29,1,458},{29,1,458},{20,3,0},{31,3,2178},{20,3,0},{17,3,128},{19,1,40},{19,1,4},{7,1,1},{17,3,128},{35,1,128},{7,1,1},{0,17,146},{35,1,128},{0,17,146},{31,0,2665},{31,0,2665},{31,0,2665},{31,0,2665},{14,1,338},{14,1,338},{14,1,338},{28,7,9},{4,3,4},{4,3,4},{11,1,9437},{27,1,7149},{43,1,6265},{29,1,3402},{11,1,9788},{47,1,3234},{47,1,1634},
{28,33,444},{42,1,6719},{20,17,35},{21,1,2210},{23,1,1473},{23,1,1184},{25,1,241},{21,17,3299},{11,1,1400},{13,1,610},{20,17,34},{17,21,3299},{20,17,34},{43,1,6265},{43,1,6265},{43,1,6265},{29,1,3402},{45,1,5621},{47,1,1634},{47,1,1634},{28,3,285},{8,1,3421},{20,17,10},{23,1,1184},{23,1,1184},{23,1,1184},{25,1,241},{23,3,2178},{13,1,610},{13,1,610},{20,17,9},{43,3,2178},
{20,17,9},{17,1,34},{33,1,10},{33,1,1},{35,1,0},{17,1,34},{3,1,34},{35,1,0},{0,17,34},{3,1,34},{0,17,34},{15,0,2677},{15,0,2677},{15,0,2677},{15,0,2677},{30,1,410},{30,1,410},{30,1,410},{44,21,0},{20,17,1},{20,17,1},{9,1,9175},{11,1,7181},{11,1,6505},{13,1,3686},{11,1,9340},{45,1,3447},{47,1,2114},{14,17,315},{44,1,6532},{6,1,4},{21,1,2034},
{21,1,1553},{7,1,1348},{39,1,410},{17,39,2904},{9,1,1411},{11,1,820},{22,1,0},{39,17,2904},{22,1,0},{11,1,6505},{11,1,6505},{11,1,6505},{13,1,3686},{13,1,5990},{47,1,2114},{47,1,2114},{14,33,274},{40,1,3789},{6,1,4},{7,1,1348},{7,1,1348},{7,1,1348},{39,1,410},{3,25,2178},{11,1,820},{11,1,820},{22,1,0},{29,1,2178},{22,1,0},{1,1,0},{1,1,0},{1,1,0},
{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{29,0,2665},{29,0,2665},{29,0,2665},{29,0,2665},{47,1,514},{47,1,514},{47,1,514},{30,5,9},{6,1,4},{6,1,4},{9,1,7987},{41,1,6503},{41,1,5878},{27,1,3561},{25,1,8118},{29,1,3051},{45,1,1934},{30,17,167},{30,1,5562},{8,1,29},{5,1,1507},{21,1,1130},{21,1,986},{23,1,298},{19,3,2166},
{23,1,1019},{25,1,629},{10,1,0},{39,1,2166},{10,1,0},{41,1,5878},{41,1,5878},{41,1,5878},{27,1,3561},{27,1,5301},{45,1,1934},{45,1,1934},{30,17,142},{42,1,3266},{8,1,29},{21,1,986},{21,1,986},{21,1,986},{23,1,298},{37,1,1625},{25,1,629},{25,1,629},{10,1,0},{27,1,1625},{10,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},
{0,1,0},{1,1,0},{0,1,0},{43,0,2669},{43,0,2669},{43,0,2669},{43,0,2669},{15,1,650},{15,1,650},{15,1,650},{46,19,1},{8,1,29},{8,1,29},{39,1,7111},{9,1,5795},{9,1,5354},{11,1,3381},{9,1,6983},{13,1,2803},{13,1,1842},{47,17,79},{47,1,4802},{40,1,85},{35,1,1132},{5,1,830},{5,1,730},{7,1,226},{3,3,1601},{7,1,739},{23,1,458},{28,1,1},{3,3,1601},
{28,1,1},{9,1,5354},{9,1,5354},{9,1,5354},{11,1,3381},{11,1,4622},{13,1,1842},{13,1,1842},{47,17,54},{44,1,2834},{40,1,85},{5,1,730},{5,1,730},{5,1,730},{7,1,226},{21,1,1201},{23,1,458},{23,1,458},{28,1,1},{41,1,1201},{28,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{27,0,2665},
{27,0,2665},{27,0,2665},{27,0,2665},{45,1,725},{45,1,725},{45,1,725},{47,33,5},{40,1,85},{40,1,85},{23,1,6361},{39,1,5231},{9,1,4826},{41,1,3294},{39,1,6071},{11,1,2610},{43,1,1825},{15,1,17},{47,1,4162},{42,1,169},{19,1,792},{35,1,584},{35,1,520},{21,1,153},{19,1,1121},{7,1,531},{7,1,306},{47,1,1},{37,1,1121},{47,1,1},{9,1,4826},{9,1,4826},{9,1,4826},
{41,1,3294},{41,1,4145},{43,1,1825},{43,1,1825},{15,1,17},{30,1,2474},{42,1,169},{35,1,520},{35,1,520},{35,1,520},{21,1,153},{5,1,841},{7,1,306},{7,1,306},{47,1,1},{9,1,841},{47,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{41,0,2669},{41,0,2669},{41,0,2669},{41,0,2669},{13,1,865},
{13,1,865},{13,1,865},{15,17,2},{42,1,169},{42,1,169},{7,1,5637},{23,1,4730},{39,1,4406},{9,1,3146},{39,1,5287},{11,1,2418},{11,1,1742},{45,1,8},{29,1,3547},{44,1,274},{3,1,489},{19,1,376},{19,1,340},{35,1,100},{33,33,726},{5,1,344},{21,1,208},{29,1,0},{33,33,726},{29,1,0},{39,1,4406},{39,1,4406},{39,1,4406},{9,1,3146},{9,1,3630},{11,1,1742},{11,1,1742},
{45,1,8},{47,1,2178},{44,1,274},{19,1,340},{19,1,340},{19,1,340},{35,1,100},{3,3,545},{21,1,208},{21,1,208},{29,1,0},{23,1,545},{29,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{25,0,2665},{25,0,2665},{25,0,2665},{25,0,2665},{27,1,1025},{27,1,1025},{27,1,1025},{45,1,8},{44,1,274},
{44,1,274},{36,1,50644},{0,1,2121},{0,25,169},{0,41,4591},{20,1,59804},{0,3,19310},{0,11,7401},{0,43,24008},{0,9,65535},{0,15,40741},{18,1,10267},{0,3,1445},{0,41,137},{0,15,3985},{42,6,18065},{0,45,12064},{0,31,6081},{0,12,14121},{19,0,18065},{0,12,14121},{0,15,1},{0,15,1},{0,15,1},{0,24,0},{0,24,1105},{0,22,410},{0,22,410},{0,4,666},{0,4,1217},{0,4,766},{0,15,1},
{0,15,1},{0,15,1},{0,24,0},{34,2,1105},{0,22,410},{0,22,410},{0,4,666},{24,0,1105},{0,4,666},{43,2,9248},{0,3,1445},{0,41,137},{0,15,3985},{43,2,9248},{21,8,9248},{0,15,3985},{0,14,9256},{21,8,9248},{0,14,9256},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{36,1,53600},{16,1,2998},{0,9,44},
{0,25,3941},{36,1,62123},{0,1,18506},{0,25,6750},{0,27,23131},{0,39,65535},{0,29,40569},{34,1,10859},{0,1,1241},{0,9,50},{0,13,3690},{16,3,19334},{0,43,12449},{0,15,6117},{0,28,14809},{17,0,19334},{0,28,14809},{0,27,0},{0,27,0},{0,27,0},{0,10,1},{0,26,1513},{0,8,585},{0,8,585},{0,20,914},{0,20,1669},{0,20,1058},{0,27,0},{0,27,0},{0,27,0},{0,10,1},{34,4,1513},
{0,8,585},{0,8,585},{0,20,914},{26,0,1513},{0,20,914},{38,1,9248},{0,1,1241},{0,9,50},{0,13,3690},{38,1,9248},{43,28,9248},{0,13,3690},{0,46,9250},{43,28,9248},{0,46,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{36,1,56716},{16,1,4497},{0,23,30},{0,39,3500},{36,1,64625},{0,1,18101},{0,9,6313},
{0,11,22459},{0,37,65535},{0,43,39632},{4,1,11624},{0,1,1225},{0,39,10},{0,27,3400},{16,1,20689},{0,41,12854},{0,43,6221},{0,44,15490},{19,2,20689},{0,44,15490},{0,9,1},{0,9,1},{0,9,1},{0,42,1},{0,12,1985},{0,10,757},{0,10,757},{0,36,1241},{0,36,2193},{0,20,1394},{0,9,1},{0,9,1},{0,9,1},{0,42,1},{6,0,1985},{0,10,757},{0,10,757},{0,36,1241},{12,0,1985},
{0,36,1241},{24,1,9248},{0,1,1225},{0,39,10},{0,27,3400},{24,1,9248},{32,9,9248},{0,27,3400},{0,47,9248},{32,9,9248},{0,47,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{6,1,58324},{32,1,6344},{0,7,6},{0,23,2873},{36,1,65535},{16,1,17968},{0,23,5727},{0,25,21128},{0,21,63585},{0,27,38087},{36,1,12449},
{16,1,1437},{0,7,9},{0,41,3185},{47,2,22129},{0,25,13298},{0,43,6189},{0,44,16354},{17,2,22129},{0,44,16354},{0,21,0},{0,21,0},{0,21,0},{0,44,1},{0,44,2521},{0,26,953},{0,26,953},{0,6,1553},{0,6,2770},{0,6,1778},{0,21,0},{0,21,0},{0,21,0},{0,44,1},{22,0,2521},{0,26,953},{0,26,953},{0,6,1553},{44,0,2521},{0,6,1553},{7,0,9248},{16,1,1412},{16,7,0},
{0,41,3185},{7,0,9248},{0,7,9248},{0,41,3185},{0,15,9266},{0,7,9248},{0,15,9266},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{22,1,58878},{32,1,8497},{0,21,52},{0,37,2302},{22,1,65535},{16,1,18091},{0,37,5062},{0,9,19646},{0,5,60796},{0,41,35977},{36,1,13547},{16,1,1923},{16,21,62},{0,25,2897},{45,0,23851},
{0,39,13856},{0,27,6323},{0,46,17289},{27,8,23851},{0,46,17289},{0,33,0},{0,33,0},{0,33,0},{0,30,0},{0,46,3200},{0,12,1186},{0,12,1186},{0,38,1962},{0,22,3521},{0,22,2261},{0,33,0},{0,33,0},{0,33,0},{0,30,0},{18,10,3200},{0,12,1186},{0,12,1186},{0,38,1962},{46,0,3200},{0,38,1962},{37,2,9248},{2,1,1717},{2,21,5},{0,25,2897},{37,2,9248},{34,7,9248},{0,25,2897},
{0,45,9250},{34,7,9248},{0,45,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{22,1,59528},{2,1,10468},{0,5,122},{0,21,1965},{22,1,65535},{16,1,18728},{0,21,4602},{0,23,18427},{0,3,58418},{0,25,34396},{6,1,14752},{2,1,2501},{16,35,141},{0,39,2720},{45,2,25472},{0,37,14401},{0,41,6413},{0,46,18185},{25,8,25472},
{0,46,18185},{0,1,16},{0,1,16},{0,1,16},{0,47,0},{0,31,3872},{0,28,1450},{0,28,1450},{0,38,2362},{0,38,4283},{0,38,2723},{0,1,16},{0,1,16},{0,1,16},{0,47,0},{36,6,3872},{0,28,1450},{0,28,1450},{0,38,2362},{31,0,3872},{0,38,2362},{44,1,9248},{20,1,2041},{18,5,2},{0,39,2720},{44,1,9248},{26,9,9248},{0,39,2720},{0,13,9256},{26,9,9248},{0,13,9256},{0,0,0},
{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{24,1,60070},{2,1,12544},{0,19,188},{0,35,1604},{22,1,65535},{32,1,19503},{0,5,4081},{0,7,17117},{0,3,56204},{0,25,32856},{22,1,15824},{2,1,3225},{32,19,229},{0,7,2478},{46,10,26744},{0,21,14657},{0,25,6357},{0,31,18737},{23,8,26744},{0,31,18737},{16,1,115},{16,1,115},{16,1,115},
{0,15,5},{0,29,4420},{0,46,1613},{0,46,1613},{0,8,2642},{0,8,4931},{0,8,3083},{16,1,90},{16,1,90},{16,1,90},{0,15,5},{8,2,4418},{0,46,1613},{0,46,1613},{0,8,2642},{30,2,4418},{0,8,2642},{33,0,9248},{36,1,2405},{34,19,5},{0,7,2474},{33,0,9248},{32,3,9248},{0,7,2474},{0,43,9250},{32,3,9248},{0,43,9250},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,16,1},
{0,16,1},{0,16,1},{0,16,1},{0,16,2},{0,16,2},{24,1,60699},{2,1,14864},{16,3,314},{0,19,1400},{24,1,65535},{2,1,20230},{0,19,3323},{0,37,15488},{0,17,54456},{0,39,31364},{24,1,16210},{4,1,3849},{2,33,221},{0,37,2328},{38,3,26744},{0,3,14114},{0,23,5618},{0,15,18273},{35,8,26744},{0,15,18273},{32,1,291},{32,1,291},{32,1,291},{16,29,50},{0,11,4418},{0,31,1325},{0,31,1325},
{0,10,2465},{0,10,5112},{0,8,3051},{2,1,136},{2,1,136},{2,1,136},{32,29,5},{24,4,4418},{0,31,1325},{0,31,1325},{0,10,2465},{11,0,4418},{0,10,2465},{47,1,9248},{8,1,2738},{20,3,1},{0,37,2228},{47,1,9248},{31,9,9248},{0,37,2228},{0,11,9256},{31,9,9248},{0,11,9256},{16,0,50},{16,0,50},{16,0,50},{16,0,50},{0,4,0},{0,4,0},{0,4,0},{0,2,0},{0,32,18},
{0,32,18},{24,1,61549},{2,1,17597},{16,17,476},{0,33,1268},{24,1,65535},{2,1,21346},{0,33,2615},{0,5,13900},{0,17,52724},{0,37,29656},{40,1,16729},{36,1,4545},{34,1,221},{32,21,2384},{8,1,26744},{0,3,13529},{0,37,4710},{0,29,17819},{1,8,26744},{0,29,17819},{2,1,626},{2,1,626},{2,1,626},{32,43,185},{0,23,4418},{0,45,1037},{0,45,1037},{0,10,2249},{0,26,5330},{0,10,2925},{34,1,185},
{34,1,185},{34,1,185},{18,13,4},{38,10,4418},{0,45,1037},{0,45,1037},{0,10,2249},{23,0,4418},{0,10,2249},{29,3,9248},{40,1,3188},{6,17,2},{0,35,2041},{29,3,9248},{43,9,9248},{0,35,2041},{0,41,9256},{43,9,9248},{0,41,9256},{32,0,185},{32,0,185},{32,0,185},{32,0,185},{0,38,0},{0,38,0},{0,38,0},{0,34,1},{0,18,61},{0,18,61},{40,1,62083},{4,1,19345},{16,1,697},
{0,17,1188},{24,1,65535},{2,1,22086},{0,17,2057},{0,35,12551},{0,1,51532},{0,37,28158},{26,1,16691},{36,1,5081},{20,1,265},{32,35,2281},{29,12,26259},{0,17,12803},{0,5,3981},{0,43,16952},{26,13,26259},{0,43,16952},{18,1,1006},{18,1,1006},{18,1,1006},{2,11,378},{0,5,4420},{0,43,820},{0,43,820},{0,12,2020},{0,12,5541},{0,42,2966},{20,1,265},{20,1,265},{20,1,265},{34,27,1},{28,2,4418},
{0,43,820},{0,43,820},{0,12,2020},{42,8,4418},{0,12,2020},{43,3,8978},{42,1,3434},{22,1,1},{0,19,1737},{43,3,8978},{45,7,8978},{0,19,1737},{0,9,8986},{45,7,8978},{0,9,8986},{2,0,377},{2,0,377},{2,0,377},{2,0,377},{0,10,1},{0,10,1},{0,10,1},{0,20,4},{0,4,136},{0,4,136},{40,1,62361},{4,1,19653},{16,1,1095},{0,17,1126},{24,1,65535},{2,1,21601},{0,17,1502},
{0,19,11253},{0,1,50904},{0,37,27226},{42,1,15419},{38,1,4708},{36,1,320},{18,19,1862},{23,2,24371},{0,1,11221},{0,35,2905},{0,27,15080},{20,9,24371},{0,27,15080},{34,1,1522},{34,1,1522},{34,1,1522},{2,25,618},{0,17,4418},{0,41,610},{0,41,610},{0,44,1810},{0,44,5843},{0,12,2885},{36,1,320},{36,1,320},{36,1,320},{20,11,9},{16,3,4418},{0,41,610},{0,41,610},{0,44,1810},{17,0,4418},
{0,44,1810},{27,3,7938},{44,1,3033},{8,1,4},{0,19,1225},{27,3,7938},{39,9,7938},{0,19,1225},{0,9,7946},{39,9,7938},{0,9,7946},{2,0,617},{2,0,617},{2,0,617},{2,0,617},{0,44,0},{0,44,0},{0,44,0},{0,22,1},{0,36,232},{0,36,232},{40,1,62690},{4,1,20049},{32,1,1585},{16,17,1131},{40,1,65535},{2,1,21187},{0,17,1035},{0,19,10004},{0,1,50320},{0,37,26351},{28,1,14260},
{24,1,4365},{22,1,410},{4,19,1523},{47,11,22568},{0,1,9893},{0,19,1997},{0,27,13320},{22,9,22568},{0,27,13320},{4,1,2169},{4,1,2169},{4,1,2169},{18,9,929},{16,1,4461},{0,9,442},{0,9,442},{0,14,1665},{0,46,6116},{0,44,2907},{22,1,410},{22,1,410},{22,1,410},{36,25,1},{30,4,4418},{0,9,442},{0,9,442},{0,14,1665},{15,8,4418},{0,14,1665},{11,3,6962},{14,1,2645},{10,1,1},
{0,3,832},{11,3,6962},{44,3,6962},{0,3,832},{0,39,6962},{44,3,6962},{0,39,6962},{18,0,925},{18,0,925},{18,0,925},{18,0,925},{0,47,0},{0,47,0},{0,47,0},{0,8,0},{0,22,338},{0,22,338},{40,1,63078},{4,1,20586},{32,1,2208},{16,1,1221},{40,1,65535},{2,1,20797},{0,17,616},{0,19,8676},{0,1,49684},{0,37,25424},{14,1,12942},{40,1,4061},{8,1,530},{36,19,1147},{21,2,20642},
{16,1,8678},{0,3,1157},{0,41,11489},{24,9,20642},{0,41,11489},{20,1,3009},{20,1,3009},{20,1,3009},{34,7,1358},{32,1,4667},{0,7,305},{0,7,305},{0,46,1445},{0,31,6482},{0,14,3034},{8,1,530},{8,1,530},{8,1,530},{22,9,5},{45,0,4418},{0,7,305},{0,7,305},{0,46,1445},{27,8,4418},{0,46,1445},{11,1,5941},{30,1,2260},{42,1,0},{0,33,445},{11,1,5941},{26,1,5941},{0,33,445},
{0,23,5941},{26,1,5941},{0,23,5941},{34,0,1354},{34,0,1354},{34,0,1354},{34,0,1354},{0,13,0},{0,13,0},{0,13,0},{0,40,1},{0,8,522},{0,8,522},{40,1,63433},{4,1,21145},{32,1,2873},{16,1,1404},{40,1,65535},{2,1,20517},{0,1,339},{0,19,7570},{0,1,49136},{0,37,24652},{30,1,11862},{26,1,3845},{40,1,617},{22,3,868},{44,1,19021},{2,1,7769},{0,33,621},{0,25,9957},{26,9,19021},
{0,25,9957},{36,1,3819},{36,1,3819},{36,1,3819},{4,37,1809},{2,1,5012},{0,5,185},{0,5,185},{0,31,1285},{0,15,6822},{0,46,3029},{40,1,617},{40,1,617},{40,1,617},{38,23,2},{29,2,4418},{0,5,185},{0,5,185},{0,31,1285},{35,6,4418},{0,31,1285},{41,1,5101},{47,1,1924},{28,1,1},{0,17,221},{41,1,5101},{28,1,5101},{0,17,221},{0,7,5113},{28,1,5101},{0,7,5113},{4,0,1808},
{4,0,1808},{4,0,1808},{4,0,1808},{0,25,0},{0,25,0},{0,25,0},{0,26,4},{0,24,698},{0,24,698},{26,1,63733},{4,1,21777},{32,1,3641},{16,1,1687},{40,1,65535},{2,1,20303},{0,1,133},{0,3,6539},{0,1,48607},{0,37,23935},{30,1,10886},{42,1,3641},{26,1,724},{8,33,659},{46,3,17485},{2,1,6985},{0,17,257},{0,25,8565},{16,3,17485},{0,25,8565},{6,1,4820},{6,1,4820},{6,1,4820},
{4,5,2324},{18,1,5437},{0,3,101},{0,3,101},{0,15,1129},{0,45,7234},{0,31,3141},{26,1,724},{26,1,724},{26,1,724},{24,7,4},{43,2,4418},{0,3,101},{0,3,101},{0,15,1129},{21,8,4418},{0,15,1129},{25,1,4325},{15,1,1658},{14,1,4},{0,17,61},{25,1,4325},{14,1,4325},{0,17,61},{0,7,4329},{14,1,4325},{0,7,4329},{4,0,2320},{4,0,2320},{4,0,2320},{4,0,2320},{0,7,0},
{0,7,0},{0,7,0},{0,28,1},{0,10,872},{0,10,872},{26,1,63992},{4,1,22482},{2,1,4507},{32,1,2059},{40,1,65535},{2,1,20157},{0,1,26},{0,3,5537},{0,1,48100},{0,21,23272},{47,1,9918},{28,1,3518},{42,1,832},{24,33,446},{46,1,16034},{4,1,6314},{0,1,65},{0,39,7293},{26,7,16034},{0,39,7293},{22,1,5900},{22,1,5900},{22,1,5900},{20,19,2888},{34,1,6029},{0,17,40},{0,17,40},
{0,29,1000},{0,43,7619},{0,15,3261},{42,1,832},{42,1,832},{42,1,832},{40,21,1},{38,1,4418},{0,17,40},{0,17,40},{0,29,1000},{43,28,4418},{0,29,1000},{9,1,3613},{29,1,1345},{47,1,4},{0,1,1},{9,1,3613},{46,1,3613},{0,1,1},{0,37,3613},{46,1,3613},{0,37,3613},{20,0,2888},{20,0,2888},{20,0,2888},{20,0,2888},{0,19,1},{0,19,1},{0,19,1},{0,14,0},{0,12,1082},
{0,12,1082},{26,1,64289},{20,1,23310},{2,1,5546},{32,1,2553},{40,1,65535},{2,1,20076},{0,1,26},{0,3,4514},{0,1,47560},{0,5,22518},{31,1,9017},{14,1,3261},{28,1,1000},{10,33,281},{17,2,14504},{36,1,5594},{16,1,40},{0,23,5900},{16,1,14504},{0,23,5900},{38,1,7293},{38,1,7293},{38,1,7293},{36,33,3614},{4,1,6900},{0,1,65},{0,1,65},{0,43,832},{0,41,8070},{0,29,3518},{28,1,1000},
{28,1,1000},{28,1,1000},{26,5,2},{39,0,4418},{16,1,40},{16,1,40},{0,43,832},{9,28,4418},{0,43,832},{23,17,2888},{13,1,1082},{15,1,0},{18,1,1},{23,17,2888},{45,17,2888},{18,1,1},{0,21,2888},{45,17,2888},{0,21,2888},{36,0,3613},{36,0,3613},{36,0,3613},{36,0,3613},{0,1,1},{0,1,1},{0,1,1},{0,46,4},{0,28,1345},{0,28,1345},{26,1,64605},{36,1,24062},{2,1,6574},
{32,1,3098},{26,1,65535},{2,1,20094},{0,1,133},{0,33,3661},{0,1,47145},{0,5,21893},{45,1,8116},{30,1,3141},{14,1,1129},{42,17,147},{43,7,13235},{38,1,5012},{2,1,101},{0,7,4820},{18,1,13235},{0,7,4820},{24,1,8565},{24,1,8565},{24,1,8565},{6,1,4329},{36,1,7725},{16,1,257},{16,1,257},{0,27,724},{0,25,8530},{0,43,3641},{14,1,1129},{14,1,1129},{14,1,1129},{42,19,2},{23,2,4418},
{2,1,101},{2,1,101},{0,27,724},{20,9,4418},{0,27,724},{37,3,2312},{11,1,872},{29,1,1},{6,1,0},{37,3,2312},{21,5,2312},{6,1,0},{0,5,2320},{21,5,2312},{0,5,2320},{6,0,4329},{6,0,4329},{6,0,4329},{6,0,4329},{16,1,61},{16,1,61},{16,1,61},{0,15,4},{0,14,1658},{0,14,1658},{26,1,64960},{36,1,24888},{18,1,7643},{32,1,3742},{26,1,65535},{4,1,20161},{0,1,342},
{0,33,2900},{0,1,46786},{0,5,21347},{29,1,7443},{47,1,3029},{30,1,1285},{12,17,66},{17,6,12051},{24,1,4500},{4,1,185},{0,37,3819},{20,1,12051},{0,37,3819},{24,1,9957},{24,1,9957},{24,1,9957},{22,1,5161},{36,1,8717},{32,1,621},{32,1,621},{0,41,617},{0,39,9026},{0,27,3845},{30,1,1285},{30,1,1285},{30,1,1285},{28,3,4},{37,2,4418},{4,1,185},{4,1,185},{0,41,617},{34,7,4418},
{0,41,617},{21,3,1800},{25,1,698},{27,1,4},{24,1,0},{21,3,1800},{43,1,1800},{24,1,0},{0,5,1808},{43,1,1800},{0,5,1808},{6,0,5113},{6,0,5113},{6,0,5113},{6,0,5113},{16,1,221},{16,1,221},{16,1,221},{0,29,1},{0,46,1924},{0,46,1924},{26,1,65314},{36,1,25774},{18,1,8796},{32,1,4480},{26,1,65535},{4,1,20229},{16,1,625},{0,33,2238},{0,1,46456},{0,5,20870},{13,1,6795},
{15,1,3034},{47,1,1445},{44,1,17},{39,11,10952},{40,1,4076},{6,1,305},{0,21,3009},{22,1,10952},{0,21,3009},{40,1,11489},{40,1,11489},{40,1,11489},{38,1,6125},{6,1,9922},{2,1,1157},{2,1,1157},{0,9,530},{0,37,9571},{0,41,4061},{47,1,1445},{47,1,1445},{47,1,1445},{44,17,2},{44,1,4418},{6,1,305},{6,1,305},{0,9,530},{26,9,4418},{0,9,530},{5,3,1352},{9,1,522},{41,1,1},
{12,1,0},{5,3,1352},{11,1,1352},{12,1,0},{0,35,1354},{11,1,1352},{0,35,1354},{22,0,5941},{22,0,5941},{22,0,5941},{22,0,5941},{32,1,445},{32,1,445},{32,1,445},{0,43,0},{0,31,2260},{0,31,2260},{26,1,65535},{36,1,26766},{18,1,10162},{2,1,5359},{26,1,65359},{4,1,20334},{16,1,1051},{0,33,1610},{0,1,45998},{0,5,20364},{11,1,6173},{45,1,2907},{15,1,1665},{30,1,2},{17,10,9818},
{42,1,3693},{8,1,442},{0,5,2169},{24,1,9818},{0,5,2169},{26,1,13320},{26,1,13320},{26,1,13320},{8,1,7395},{22,1,11384},{18,1,1997},{18,1,1997},{0,23,410},{0,21,10181},{0,25,4365},{15,1,1665},{15,1,1665},{15,1,1665},{30,1,2},{31,5,4418},{8,1,442},{8,1,442},{0,23,410},{14,9,4418},{0,23,410},{5,1,925},{23,1,338},{9,1,0},{46,1,0},{5,1,925},{9,1,925},{46,1,0},
{0,19,925},{9,1,925},{0,19,925},{38,0,6962},{38,0,6962},{38,0,6962},{38,0,6962},{2,1,832},{2,1,832},{2,1,832},{0,11,1},{0,15,2645},{0,15,2645},{26,1,65535},{36,1,27616},{18,1,11415},{2,1,6203},{26,1,65014},{4,1,20439},{16,1,1524},{0,17,1111},{0,1,45494},{0,5,19935},{11,1,5581},{13,1,2885},{45,1,1810},{47,1,50},{39,7,8901},{44,1,3373},{40,1,610},{0,35,1522},{26,1,8901},
{0,35,1522},{26,1,15080},{26,1,15080},{26,1,15080},{24,1,8661},{24,1,12846},{34,1,2905},{34,1,2905},{0,37,320},{0,3,10790},{0,39,4708},{45,1,1810},{45,1,1810},{45,1,1810},{47,1,50},{17,2,4418},{40,1,610},{40,1,610},{0,37,320},{16,1,4418},{0,37,320},{35,1,613},{37,1,232},{23,1,1},{45,1,0},{35,1,613},{23,1,613},{45,1,0},{0,3,617},{23,1,613},{0,3,617},{8,0,7946},
{8,0,7946},{8,0,7946},{8,0,7946},{18,1,1225},{18,1,1225},{18,1,1225},{0,9,4},{0,45,3033},{0,45,3033},{26,1,65535},{36,1,28505},{34,1,12706},{2,1,7117},{26,1,64677},{4,1,20609},{16,1,2082},{0,17,705},{0,1,45031},{0,5,19583},{41,1,5202},{43,1,2966},{13,1,2020},{31,1,148},{9,3,8069},{30,1,3125},{42,1,820},{0,19,1006},{31,3,8069},{0,19,1006},{42,1,16952},{42,1,16952},{42,1,16952},
{24,1,10085},{24,1,14318},{4,1,3981},{4,1,3981},{0,21,265},{0,3,11302},{0,37,5081},{13,1,2020},{13,1,2020},{13,1,2020},{31,1,148},{29,3,4418},{42,1,820},{42,1,820},{0,21,265},{43,9,4418},{0,21,265},{19,1,365},{5,1,136},{21,1,4},{11,1,1},{19,1,365},{37,1,365},{11,1,1},{0,3,377},{37,1,365},{0,3,377},{8,0,8986},{8,0,8986},{8,0,8986},{8,0,8986},{18,1,1737},
{18,1,1737},{18,1,1737},{0,23,1},{0,43,3434},{0,43,3434},{42,1,65535},{36,1,29412},{4,1,13785},{18,1,7875},{26,1,64490},{20,1,20801},{32,1,2593},{16,17,472},{0,1,43813},{0,3,17452},{9,1,4729},{11,1,2925},{11,1,2249},{45,1,281},{37,7,7322},{47,1,2941},{44,1,1037},{0,3,626},{30,1,7322},{0,3,626},{28,1,17819},{28,1,17819},{28,1,17819},{40,1,10777},{40,1,15150},{36,1,4710},{36,1,4710},
{0,35,221},{0,17,11076},{0,37,4545},{11,1,2249},{11,1,2249},{11,1,2249},{45,1,281},{39,11,4418},{44,1,1037},{44,1,1037},{0,35,185},{22,1,4418},{0,35,185},{3,1,181},{19,1,61},{35,1,1},{39,1,0},{3,1,181},{5,1,181},{39,1,0},{0,33,185},{5,1,181},{0,33,185},{40,0,9256},{40,0,9256},{40,0,9256},{40,0,9256},{34,1,2041},{34,1,2041},{34,1,2041},{16,7,2},{0,41,3188},
{0,41,3188},{42,1,65535},{38,1,30127},{36,1,14877},{4,1,8601},{42,1,64081},{36,1,20736},{18,1,3192},{2,17,302},{0,1,42247},{0,3,14278},{39,1,4387},{9,1,3051},{11,1,2465},{13,1,490},{23,17,6584},{29,1,2843},{30,1,1325},{0,33,291},{45,17,6584},{0,33,291},{14,1,18273},{14,1,18273},{14,1,18273},{42,1,11259},{26,1,15731},{22,1,5618},{22,1,5618},{32,3,221},{0,1,10637},{0,5,3849},{11,1,2465},
{11,1,2465},{11,1,2465},{13,1,490},{25,5,4418},{30,1,1325},{30,1,1325},{0,3,136},{10,1,4418},{0,3,136},{1,3,50},{33,1,18},{3,1,0},{5,1,0},{1,3,50},{3,1,50},{5,1,0},{0,17,50},{3,1,50},{0,17,50},{10,0,9256},{10,0,9256},{10,0,9256},{10,0,9256},{36,1,2228},{36,1,2228},{36,1,2228},{2,21,1},{0,9,2738},{0,9,2738},{28,1,65535},{24,1,30766},{6,1,16028},
{36,1,9391},{28,1,64158},{36,1,21269},{4,1,3821},{18,1,176},{0,1,41339},{0,3,11746},{23,1,4216},{9,1,3083},{9,1,2642},{27,1,776},{3,25,6019},{13,1,2763},{47,1,1613},{0,17,115},{29,1,6019},{0,17,115},{30,1,18737},{30,1,18737},{30,1,18737},{12,1,11820},{42,1,16379},{24,1,6357},{24,1,6357},{18,33,229},{0,1,10589},{0,3,3225},{9,1,2642},{9,1,2642},{9,1,2642},{27,1,776},{9,3,4418},
{47,1,1613},{47,1,1613},{0,17,90},{31,3,4418},{0,17,90},{1,17,2},{17,1,2},{17,1,1},{17,1,1},{1,17,2},{17,1,2},{17,1,1},{0,1,4},{17,1,2},{0,1,4},{42,0,9250},{42,0,9250},{42,0,9250},{42,0,9250},{6,1,2474},{6,1,2474},{6,1,2474},{18,35,5},{0,37,2405},{0,37,2405},{14,1,65535},{24,1,31241},{22,1,16737},{6,1,10024},{14,1,64173},{38,1,21415},{20,1,4180},
{4,1,111},{16,1,40689},{0,3,9508},{7,1,3648},{39,1,2723},{39,1,2362},{11,1,725},{37,1,5163},{13,1,2451},{29,1,1450},{0,1,16},{7,19,5163},{0,1,16},{47,1,18185},{47,1,18185},{47,1,18185},{44,1,11714},{28,1,15784},{40,1,6413},{40,1,6413},{34,17,141},{0,1,9881},{0,3,2501},{39,1,2362},{39,1,2362},{39,1,2362},{11,1,725},{37,7,3872},{29,1,1450},{29,1,1450},{0,1,16},{30,1,3872},
{0,1,16},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{12,0,9256},{12,0,9256},{12,0,9256},{12,0,9256},{38,1,2720},{38,1,2720},{38,1,2720},{4,19,2},{0,21,2041},{0,21,2041},{30,1,65535},{40,1,31563},{8,1,17236},{38,1,10554},{14,1,63701},{24,1,21372},{36,1,4441},{20,1,45},{16,1,40151},{0,33,7454},{21,1,3014},
{23,1,2261},{39,1,1962},{25,1,629},{21,17,4267},{11,1,2028},{13,1,1186},{32,1,0},{17,21,4267},{32,1,0},{47,1,17289},{47,1,17289},{47,1,17289},{14,1,11436},{14,1,14726},{26,1,6323},{26,1,6323},{20,17,62},{16,1,9032},{0,17,1923},{39,1,1962},{39,1,1962},{39,1,1962},{25,1,629},{19,11,3200},{13,1,1186},{13,1,1186},{32,1,0},{47,1,3200},{32,1,0},{1,1,0},{1,1,0},{1,1,0},
{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{44,0,9250},{44,0,9250},{44,0,9250},{44,0,9250},{24,1,2897},{24,1,2897},{24,1,2897},{20,3,5},{0,3,1717},{0,3,1717},{30,1,65535},{26,1,31988},{24,1,17745},{8,1,11181},{30,1,63430},{40,1,21435},{22,1,4810},{6,1,5},{2,1,39477},{0,33,5328},{21,1,2339},{7,1,1778},{7,1,1553},{9,1,477},{19,5,3361},
{25,1,1634},{27,1,953},{20,1,0},{37,3,3361},{20,1,0},{45,1,16354},{45,1,16354},{45,1,16354},{30,1,11202},{30,1,13722},{42,1,6189},{42,1,6189},{6,1,9},{2,1,8249},{0,17,1437},{7,1,1553},{7,1,1553},{7,1,1553},{9,1,477},{23,1,2521},{27,1,953},{27,1,953},{20,1,0},{45,1,2521},{20,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},
{0,1,0},{1,1,0},{0,1,0},{14,0,9266},{14,0,9266},{14,0,9266},{14,0,9266},{40,1,3185},{40,1,3185},{40,1,3185},{6,17,0},{0,17,1412},{0,17,1412},{47,1,65535},{42,1,32389},{10,1,18354},{40,1,11850},{30,1,63370},{40,1,21737},{8,1,5159},{22,1,24},{2,1,39380},{0,17,3675},{5,1,1843},{21,1,1394},{37,1,1241},{23,1,370},{5,1,2646},{9,1,1282},{11,1,757},{8,1,1},{9,1,2646},
{8,1,1},{45,1,15490},{45,1,15490},{45,1,15490},{47,1,10946},{47,1,12914},{42,1,6221},{42,1,6221},{38,1,10},{2,1,7753},{0,1,1225},{37,1,1241},{37,1,1241},{37,1,1241},{23,1,370},{7,1,1985},{11,1,757},{11,1,757},{8,1,1},{13,1,1985},{8,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{46,0,9248},
{46,0,9248},{46,0,9248},{46,0,9248},{26,1,3400},{26,1,3400},{26,1,3400},{38,1,10},{0,1,1225},{0,1,1225},{47,1,65535},{28,1,33179},{26,1,18917},{10,1,12588},{47,1,62997},{26,1,21996},{24,1,5521},{8,1,36},{4,1,39403},{0,17,2452},{5,1,1411},{21,1,1058},{21,1,914},{7,1,274},{35,1,2017},{23,1,939},{9,1,585},{26,1,0},{1,35,2017},{26,1,0},{29,1,14809},{29,1,14809},{29,1,14809},
{31,1,10801},{47,1,12162},{14,1,6117},{14,1,6117},{8,1,50},{20,1,7322},{0,1,1241},{21,1,914},{21,1,914},{21,1,914},{7,1,274},{35,5,1513},{9,1,585},{9,1,585},{26,1,0},{27,1,1513},{26,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{47,0,9250},{47,0,9250},{47,0,9250},{47,0,9250},{12,1,3690},
{12,1,3690},{12,1,3690},{8,1,50},{0,1,1241},{0,1,1241},{45,1,65535},{14,1,33274},{42,1,19608},{42,1,13375},{47,1,62627},{42,1,22211},{10,1,6045},{24,1,138},{36,1,39015},{0,1,1732},{35,1,1048},{5,1,766},{5,1,666},{37,1,212},{3,3,1473},{7,1,675},{23,1,410},{14,1,1},{3,3,1473},{14,1,1},{13,1,14121},{13,1,14121},{13,1,14121},{45,1,10571},{45,1,11434},{30,1,6081},{30,1,6081},
{40,1,137},{36,1,6926},{2,1,1445},{5,1,666},{5,1,666},{5,1,666},{37,1,212},{35,3,1105},{23,1,410},{23,1,410},{14,1,1},{25,1,1105},{14,1,1},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{1,1,0},{0,1,0},{1,1,0},{0,1,0},{15,0,9256},{15,0,9256},{15,0,9256},{15,0,9256},{14,1,3985},{14,1,3985},{14,1,3985},{40,1,137},{2,1,1445},
{2,1,1445},
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_transcoder.h | // basisu_transcoder.h
// Copyright (C) 2019-2021 Binomial LLC. All Rights Reserved.
// Important: If compiling with gcc, be sure strict aliasing is disabled: -fno-strict-aliasing
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
#pragma once
// By default KTX2 support is enabled to simplify compilation. This implies the need for the Zstandard library (which we distribute as a single source file in the "zstd" directory) by default.
// Set BASISD_SUPPORT_KTX2 to 0 to completely disable KTX2 support as well as Zstd/miniz usage which is only required for UASTC supercompression in KTX2 files.
// Also see BASISD_SUPPORT_KTX2_ZSTD in basisu_transcoder.cpp, which individually disables Zstd usage.
#ifndef BASISD_SUPPORT_KTX2
#define BASISD_SUPPORT_KTX2 1
#endif
// Set BASISD_SUPPORT_KTX2_ZSTD to 0 to disable Zstd usage and KTX2 UASTC Zstd supercompression support
#ifndef BASISD_SUPPORT_KTX2_ZSTD
#define BASISD_SUPPORT_KTX2_ZSTD 1
#endif
// Set BASISU_FORCE_DEVEL_MESSAGES to 1 to enable debug printf()'s whenever an error occurs, for easier debugging during development.
#ifndef BASISU_FORCE_DEVEL_MESSAGES
#define BASISU_FORCE_DEVEL_MESSAGES 0
#endif
#include "basisu_transcoder_internal.h"
#include "basisu_transcoder_uastc.h"
#include "basisu_file_headers.h"
namespace basist
{
// High-level composite texture formats supported by the transcoder.
// Each of these texture formats directly correspond to OpenGL/D3D/Vulkan etc. texture formats.
// Notes:
// - If you specify a texture format that supports alpha, but the .basis file doesn't have alpha, the transcoder will automatically output a
// fully opaque (255) alpha channel.
// - The PVRTC1 texture formats only support power of 2 dimension .basis files, but this may be relaxed in a future version.
// - The PVRTC1 transcoders are real-time encoders, so don't expect the highest quality. We may add a slower encoder with improved quality.
// - These enums must be kept in sync with Javascript code that calls the transcoder.
enum class transcoder_texture_format
{
// Compressed formats
// ETC1-2
cTFETC1_RGB = 0, // Opaque only, returns RGB or alpha data if cDecodeFlagsTranscodeAlphaDataToOpaqueFormats flag is specified
cTFETC2_RGBA = 1, // Opaque+alpha, ETC2_EAC_A8 block followed by a ETC1 block, alpha channel will be opaque for opaque .basis files
// BC1-5, BC7 (desktop, some mobile devices)
cTFBC1_RGB = 2, // Opaque only, no punchthrough alpha support yet, transcodes alpha slice if cDecodeFlagsTranscodeAlphaDataToOpaqueFormats flag is specified
cTFBC3_RGBA = 3, // Opaque+alpha, BC4 followed by a BC1 block, alpha channel will be opaque for opaque .basis files
cTFBC4_R = 4, // Red only, alpha slice is transcoded to output if cDecodeFlagsTranscodeAlphaDataToOpaqueFormats flag is specified
cTFBC5_RG = 5, // XY: Two BC4 blocks, X=R and Y=Alpha, .basis file should have alpha data (if not Y will be all 255's)
cTFBC7_RGBA = 6, // RGB or RGBA, mode 5 for ETC1S, modes (1,2,3,5,6,7) for UASTC
// PVRTC1 4bpp (mobile, PowerVR devices)
cTFPVRTC1_4_RGB = 8, // Opaque only, RGB or alpha if cDecodeFlagsTranscodeAlphaDataToOpaqueFormats flag is specified, nearly lowest quality of any texture format.
cTFPVRTC1_4_RGBA = 9, // Opaque+alpha, most useful for simple opacity maps. If .basis file doesn't have alpha cTFPVRTC1_4_RGB will be used instead. Lowest quality of any supported texture format.
// ASTC (mobile, Intel devices, hopefully all desktop GPU's one day)
cTFASTC_4x4_RGBA = 10, // Opaque+alpha, ASTC 4x4, alpha channel will be opaque for opaque .basis files. Transcoder uses RGB/RGBA/L/LA modes, void extent, and up to two ([0,47] and [0,255]) endpoint precisions.
// ATC (mobile, Adreno devices, this is a niche format)
cTFATC_RGB = 11, // Opaque, RGB or alpha if cDecodeFlagsTranscodeAlphaDataToOpaqueFormats flag is specified. ATI ATC (GL_ATC_RGB_AMD)
cTFATC_RGBA = 12, // Opaque+alpha, alpha channel will be opaque for opaque .basis files. ATI ATC (GL_ATC_RGBA_INTERPOLATED_ALPHA_AMD)
// FXT1 (desktop, Intel devices, this is a super obscure format)
cTFFXT1_RGB = 17, // Opaque only, uses exclusively CC_MIXED blocks. Notable for having a 8x4 block size. GL_3DFX_texture_compression_FXT1 is supported on Intel integrated GPU's (such as HD 630).
// Punch-through alpha is relatively easy to support, but full alpha is harder. This format is only here for completeness so opaque-only is fine for now.
// See the BASISU_USE_ORIGINAL_3DFX_FXT1_ENCODING macro in basisu_transcoder_internal.h.
cTFPVRTC2_4_RGB = 18, // Opaque-only, almost BC1 quality, much faster to transcode and supports arbitrary texture dimensions (unlike PVRTC1 RGB).
cTFPVRTC2_4_RGBA = 19, // Opaque+alpha, slower to encode than cTFPVRTC2_4_RGB. Premultiplied alpha is highly recommended, otherwise the color channel can leak into the alpha channel on transparent blocks.
cTFETC2_EAC_R11 = 20, // R only (ETC2 EAC R11 unsigned)
cTFETC2_EAC_RG11 = 21, // RG only (ETC2 EAC RG11 unsigned), R=opaque.r, G=alpha - for tangent space normal maps
// Uncompressed (raw pixel) formats
cTFRGBA32 = 13, // 32bpp RGBA image stored in raster (not block) order in memory, R is first byte, A is last byte.
cTFRGB565 = 14, // 16bpp RGB image stored in raster (not block) order in memory, R at bit position 11
cTFBGR565 = 15, // 16bpp RGB image stored in raster (not block) order in memory, R at bit position 0
cTFRGBA4444 = 16, // 16bpp RGBA image stored in raster (not block) order in memory, R at bit position 12, A at bit position 0
cTFTotalTextureFormats = 22,
// Old enums for compatibility with code compiled against previous versions
cTFETC1 = cTFETC1_RGB,
cTFETC2 = cTFETC2_RGBA,
cTFBC1 = cTFBC1_RGB,
cTFBC3 = cTFBC3_RGBA,
cTFBC4 = cTFBC4_R,
cTFBC5 = cTFBC5_RG,
// Previously, the caller had some control over which BC7 mode the transcoder output. We've simplified this due to UASTC, which supports numerous modes.
cTFBC7_M6_RGB = cTFBC7_RGBA, // Opaque only, RGB or alpha if cDecodeFlagsTranscodeAlphaDataToOpaqueFormats flag is specified. Highest quality of all the non-ETC1 formats.
cTFBC7_M5_RGBA = cTFBC7_RGBA, // Opaque+alpha, alpha channel will be opaque for opaque .basis files
cTFBC7_M6_OPAQUE_ONLY = cTFBC7_RGBA,
cTFBC7_M5 = cTFBC7_RGBA,
cTFBC7_ALT = 7,
cTFASTC_4x4 = cTFASTC_4x4_RGBA,
cTFATC_RGBA_INTERPOLATED_ALPHA = cTFATC_RGBA,
};
// For compressed texture formats, this returns the # of bytes per block. For uncompressed, it returns the # of bytes per pixel.
// NOTE: Previously, this function was called basis_get_bytes_per_block(), and it always returned 16*bytes_per_pixel for uncompressed formats which was confusing.
uint32_t basis_get_bytes_per_block_or_pixel(transcoder_texture_format fmt);
// Returns format's name in ASCII
const char* basis_get_format_name(transcoder_texture_format fmt);
// Returns block format name in ASCII
const char* basis_get_block_format_name(block_format fmt);
// Returns true if the format supports an alpha channel.
bool basis_transcoder_format_has_alpha(transcoder_texture_format fmt);
// Returns the basisu::texture_format corresponding to the specified transcoder_texture_format.
basisu::texture_format basis_get_basisu_texture_format(transcoder_texture_format fmt);
// Returns the texture type's name in ASCII.
const char* basis_get_texture_type_name(basis_texture_type tex_type);
// Returns true if the transcoder texture type is an uncompressed (raw pixel) format.
bool basis_transcoder_format_is_uncompressed(transcoder_texture_format tex_type);
// Returns the # of bytes per pixel for uncompressed formats, or 0 for block texture formats.
uint32_t basis_get_uncompressed_bytes_per_pixel(transcoder_texture_format fmt);
// Returns the block width for the specified texture format, which is currently either 4 or 8 for FXT1.
uint32_t basis_get_block_width(transcoder_texture_format tex_type);
// Returns the block height for the specified texture format, which is currently always 4.
uint32_t basis_get_block_height(transcoder_texture_format tex_type);
// Returns true if the specified format was enabled at compile time.
bool basis_is_format_supported(transcoder_texture_format tex_type, basis_tex_format fmt = basis_tex_format::cETC1S);
// Validates that the output buffer is large enough to hold the entire transcoded texture.
// For uncompressed texture formats, most input parameters are in pixels, not blocks. Blocks are 4x4 pixels.
bool basis_validate_output_buffer_size(transcoder_texture_format target_format,
uint32_t output_blocks_buf_size_in_blocks_or_pixels,
uint32_t orig_width, uint32_t orig_height,
uint32_t output_row_pitch_in_blocks_or_pixels,
uint32_t output_rows_in_pixels,
uint32_t total_slice_blocks);
class basisu_transcoder;
// This struct holds all state used during transcoding. For video, it needs to persist between image transcodes (it holds the previous frame).
// For threading you can use one state per thread.
struct basisu_transcoder_state
{
struct block_preds
{
uint16_t m_endpoint_index;
uint8_t m_pred_bits;
};
basisu::vector<block_preds> m_block_endpoint_preds[2];
enum { cMaxPrevFrameLevels = 16 };
basisu::vector<uint32_t> m_prev_frame_indices[2][cMaxPrevFrameLevels]; // [alpha_flag][level_index]
void clear()
{
for (uint32_t i = 0; i < 2; i++)
{
m_block_endpoint_preds[i].clear();
for (uint32_t j = 0; j < cMaxPrevFrameLevels; j++)
m_prev_frame_indices[i][j].clear();
}
}
};
// Low-level helper class that does the actual transcoding.
class basisu_lowlevel_etc1s_transcoder
{
friend class basisu_transcoder;
public:
basisu_lowlevel_etc1s_transcoder();
void set_global_codebooks(const basisu_lowlevel_etc1s_transcoder* pGlobal_codebook) { m_pGlobal_codebook = pGlobal_codebook; }
const basisu_lowlevel_etc1s_transcoder* get_global_codebooks() const { return m_pGlobal_codebook; }
bool decode_palettes(
uint32_t num_endpoints, const uint8_t* pEndpoints_data, uint32_t endpoints_data_size,
uint32_t num_selectors, const uint8_t* pSelectors_data, uint32_t selectors_data_size);
bool decode_tables(const uint8_t* pTable_data, uint32_t table_data_size);
bool transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, const bool is_video, const bool is_alpha_slice, const uint32_t level_index, const uint32_t orig_width, const uint32_t orig_height, uint32_t output_row_pitch_in_blocks_or_pixels = 0,
basisu_transcoder_state* pState = nullptr, bool astc_transcode_alpha = false, void* pAlpha_blocks = nullptr, uint32_t output_rows_in_pixels = 0);
bool transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, const basis_file_header& header, const basis_slice_desc& slice_desc, uint32_t output_row_pitch_in_blocks_or_pixels = 0,
basisu_transcoder_state* pState = nullptr, bool astc_transcode_alpha = false, void* pAlpha_blocks = nullptr, uint32_t output_rows_in_pixels = 0)
{
return transcode_slice(pDst_blocks, num_blocks_x, num_blocks_y, pImage_data, image_data_size, fmt, output_block_or_pixel_stride_in_bytes, bc1_allow_threecolor_blocks,
header.m_tex_type == cBASISTexTypeVideoFrames, (slice_desc.m_flags & cSliceDescFlagsHasAlpha) != 0, slice_desc.m_level_index,
slice_desc.m_orig_width, slice_desc.m_orig_height, output_row_pitch_in_blocks_or_pixels, pState,
astc_transcode_alpha,
pAlpha_blocks,
output_rows_in_pixels);
}
// Container independent transcoding
bool transcode_image(
transcoder_texture_format target_format,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
const uint8_t* pCompressed_data, uint32_t compressed_data_length,
uint32_t num_blocks_x, uint32_t num_blocks_y, uint32_t orig_width, uint32_t orig_height, uint32_t level_index,
uint32_t rgb_offset, uint32_t rgb_length, uint32_t alpha_offset, uint32_t alpha_length,
uint32_t decode_flags = 0,
bool basis_file_has_alpha_slices = false,
bool is_video = false,
uint32_t output_row_pitch_in_blocks_or_pixels = 0,
basisu_transcoder_state* pState = nullptr,
uint32_t output_rows_in_pixels = 0);
void clear()
{
m_local_endpoints.clear();
m_local_selectors.clear();
m_endpoint_pred_model.clear();
m_delta_endpoint_model.clear();
m_selector_model.clear();
m_selector_history_buf_rle_model.clear();
m_selector_history_buf_size = 0;
}
// Low-level methods
typedef basisu::vector<endpoint> endpoint_vec;
const endpoint_vec& get_endpoints() const { return m_local_endpoints; }
typedef basisu::vector<selector> selector_vec;
const selector_vec& get_selectors() const { return m_local_selectors; }
private:
const basisu_lowlevel_etc1s_transcoder* m_pGlobal_codebook;
endpoint_vec m_local_endpoints;
selector_vec m_local_selectors;
huffman_decoding_table m_endpoint_pred_model, m_delta_endpoint_model, m_selector_model, m_selector_history_buf_rle_model;
uint32_t m_selector_history_buf_size;
basisu_transcoder_state m_def_state;
};
enum basisu_decode_flags
{
// PVRTC1: decode non-pow2 ETC1S texture level to the next larger power of 2 (not implemented yet, but we're going to support it). Ignored if the slice's dimensions are already a power of 2.
cDecodeFlagsPVRTCDecodeToNextPow2 = 2,
// When decoding to an opaque texture format, if the basis file has alpha, decode the alpha slice instead of the color slice to the output texture format.
// This is primarily to allow decoding of textures with alpha to multiple ETC1 textures (one for color, another for alpha).
cDecodeFlagsTranscodeAlphaDataToOpaqueFormats = 4,
// Forbid usage of BC1 3 color blocks (we don't support BC1 punchthrough alpha yet).
// This flag is used internally when decoding to BC3.
cDecodeFlagsBC1ForbidThreeColorBlocks = 8,
// The output buffer contains alpha endpoint/selector indices.
// Used internally when decoding formats like ASTC that require both color and alpha data to be available when transcoding to the output format.
cDecodeFlagsOutputHasAlphaIndices = 16,
cDecodeFlagsHighQuality = 32
};
class basisu_lowlevel_uastc_transcoder
{
friend class basisu_transcoder;
public:
basisu_lowlevel_uastc_transcoder();
bool transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, bool has_alpha, const uint32_t orig_width, const uint32_t orig_height, uint32_t output_row_pitch_in_blocks_or_pixels = 0,
basisu_transcoder_state* pState = nullptr, uint32_t output_rows_in_pixels = 0, int channel0 = -1, int channel1 = -1, uint32_t decode_flags = 0);
bool transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, const basis_file_header& header, const basis_slice_desc& slice_desc, uint32_t output_row_pitch_in_blocks_or_pixels = 0,
basisu_transcoder_state* pState = nullptr, uint32_t output_rows_in_pixels = 0, int channel0 = -1, int channel1 = -1, uint32_t decode_flags = 0)
{
return transcode_slice(pDst_blocks, num_blocks_x, num_blocks_y, pImage_data, image_data_size, fmt,
output_block_or_pixel_stride_in_bytes, bc1_allow_threecolor_blocks, (header.m_flags & cBASISHeaderFlagHasAlphaSlices) != 0, slice_desc.m_orig_width, slice_desc.m_orig_height, output_row_pitch_in_blocks_or_pixels,
pState, output_rows_in_pixels, channel0, channel1, decode_flags);
}
// Container independent transcoding
bool transcode_image(
transcoder_texture_format target_format,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
const uint8_t* pCompressed_data, uint32_t compressed_data_length,
uint32_t num_blocks_x, uint32_t num_blocks_y, uint32_t orig_width, uint32_t orig_height, uint32_t level_index,
uint32_t slice_offset, uint32_t slice_length,
uint32_t decode_flags = 0,
bool has_alpha = false,
bool is_video = false,
uint32_t output_row_pitch_in_blocks_or_pixels = 0,
basisu_transcoder_state* pState = nullptr,
uint32_t output_rows_in_pixels = 0,
int channel0 = -1, int channel1 = -1);
};
struct basisu_slice_info
{
uint32_t m_orig_width;
uint32_t m_orig_height;
uint32_t m_width;
uint32_t m_height;
uint32_t m_num_blocks_x;
uint32_t m_num_blocks_y;
uint32_t m_total_blocks;
uint32_t m_compressed_size;
uint32_t m_slice_index; // the slice index in the .basis file
uint32_t m_image_index; // the source image index originally provided to the encoder
uint32_t m_level_index; // the mipmap level within this image
uint32_t m_unpacked_slice_crc16;
bool m_alpha_flag; // true if the slice has alpha data
bool m_iframe_flag; // true if the slice is an I-Frame
};
typedef basisu::vector<basisu_slice_info> basisu_slice_info_vec;
struct basisu_image_info
{
uint32_t m_image_index;
uint32_t m_total_levels;
uint32_t m_orig_width;
uint32_t m_orig_height;
uint32_t m_width;
uint32_t m_height;
uint32_t m_num_blocks_x;
uint32_t m_num_blocks_y;
uint32_t m_total_blocks;
uint32_t m_first_slice_index;
bool m_alpha_flag; // true if the image has alpha data
bool m_iframe_flag; // true if the image is an I-Frame
};
struct basisu_image_level_info
{
uint32_t m_image_index;
uint32_t m_level_index;
uint32_t m_orig_width;
uint32_t m_orig_height;
uint32_t m_width;
uint32_t m_height;
uint32_t m_num_blocks_x;
uint32_t m_num_blocks_y;
uint32_t m_total_blocks;
uint32_t m_first_slice_index;
uint32_t m_rgb_file_ofs;
uint32_t m_rgb_file_len;
uint32_t m_alpha_file_ofs;
uint32_t m_alpha_file_len;
bool m_alpha_flag; // true if the image has alpha data
bool m_iframe_flag; // true if the image is an I-Frame
};
struct basisu_file_info
{
uint32_t m_version;
uint32_t m_total_header_size;
uint32_t m_total_selectors;
// will be 0 for UASTC or if the file uses global codebooks
uint32_t m_selector_codebook_ofs;
uint32_t m_selector_codebook_size;
uint32_t m_total_endpoints;
// will be 0 for UASTC or if the file uses global codebooks
uint32_t m_endpoint_codebook_ofs;
uint32_t m_endpoint_codebook_size;
uint32_t m_tables_ofs;
uint32_t m_tables_size;
uint32_t m_slices_size;
basis_texture_type m_tex_type;
uint32_t m_us_per_frame;
// Low-level slice information (1 slice per image for color-only basis files, 2 for alpha basis files)
basisu_slice_info_vec m_slice_info;
uint32_t m_total_images; // total # of images
basisu::vector<uint32_t> m_image_mipmap_levels; // the # of mipmap levels for each image
uint32_t m_userdata0;
uint32_t m_userdata1;
basis_tex_format m_tex_format; // ETC1S, UASTC, etc.
bool m_y_flipped; // true if the image was Y flipped
bool m_etc1s; // true if the file is ETC1S
bool m_has_alpha_slices; // true if the texture has alpha slices (for ETC1S: even slices RGB, odd slices alpha)
};
// High-level transcoder class which accepts .basis file data and allows the caller to query information about the file and transcode image levels to various texture formats.
// If you're just starting out this is the class you care about.
class basisu_transcoder
{
basisu_transcoder(basisu_transcoder&);
basisu_transcoder& operator= (const basisu_transcoder&);
public:
basisu_transcoder();
// Validates the .basis file. This computes a crc16 over the entire file, so it's slow.
bool validate_file_checksums(const void* pData, uint32_t data_size, bool full_validation) const;
// Quick header validation - no crc16 checks.
bool validate_header(const void* pData, uint32_t data_size) const;
basis_texture_type get_texture_type(const void* pData, uint32_t data_size) const;
bool get_userdata(const void* pData, uint32_t data_size, uint32_t& userdata0, uint32_t& userdata1) const;
// Returns the total number of images in the basis file (always 1 or more).
// Note that the number of mipmap levels for each image may differ, and that images may have different resolutions.
uint32_t get_total_images(const void* pData, uint32_t data_size) const;
basis_tex_format get_tex_format(const void* pData, uint32_t data_size) const;
// Returns the number of mipmap levels in an image.
uint32_t get_total_image_levels(const void* pData, uint32_t data_size, uint32_t image_index) const;
// Returns basic information about an image. Note that orig_width/orig_height may not be a multiple of 4.
bool get_image_level_desc(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index, uint32_t& orig_width, uint32_t& orig_height, uint32_t& total_blocks) const;
// Returns information about the specified image.
bool get_image_info(const void* pData, uint32_t data_size, basisu_image_info& image_info, uint32_t image_index) const;
// Returns information about the specified image's mipmap level.
bool get_image_level_info(const void* pData, uint32_t data_size, basisu_image_level_info& level_info, uint32_t image_index, uint32_t level_index) const;
// Get a description of the basis file and low-level information about each slice.
bool get_file_info(const void* pData, uint32_t data_size, basisu_file_info& file_info) const;
// start_transcoding() must be called before calling transcode_slice() or transcode_image_level().
// For ETC1S files, this call decompresses the selector/endpoint codebooks, so ideally you would only call this once per .basis file (not each image/mipmap level).
bool start_transcoding(const void* pData, uint32_t data_size);
bool stop_transcoding();
// Returns true if start_transcoding() has been called.
bool get_ready_to_transcode() const { return m_ready_to_transcode; }
// transcode_image_level() decodes a single mipmap level from the .basis file to any of the supported output texture formats.
// It'll first find the slice(s) to transcode, then call transcode_slice() one or two times to decode both the color and alpha texture data (or RG texture data from two slices for BC5).
// If the .basis file doesn't have alpha slices, the output alpha blocks will be set to fully opaque (all 255's).
// Currently, to decode to PVRTC1 the basis texture's dimensions in pixels must be a power of 2, due to PVRTC1 format requirements.
// output_blocks_buf_size_in_blocks_or_pixels should be at least the image level's total_blocks (num_blocks_x * num_blocks_y), or the total number of output pixels if fmt==cTFRGBA32.
// output_row_pitch_in_blocks_or_pixels: Number of blocks or pixels per row. If 0, the transcoder uses the slice's num_blocks_x or orig_width (NOT num_blocks_x * 4). Ignored for PVRTC1 (due to texture swizzling).
// output_rows_in_pixels: Ignored unless fmt is uncompressed (cRGBA32, etc.). The total number of output rows in the output buffer. If 0, the transcoder assumes the slice's orig_height (NOT num_blocks_y * 4).
// Notes:
// - basisu_transcoder_init() must have been called first to initialize the transcoder lookup tables before calling this function.
// - This method assumes the output texture buffer is readable. In some cases to handle alpha, the transcoder will write temporary data to the output texture in
// a first pass, which will be read in a second pass.
bool transcode_image_level(
const void* pData, uint32_t data_size,
uint32_t image_index, uint32_t level_index,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
transcoder_texture_format fmt,
uint32_t decode_flags = 0, uint32_t output_row_pitch_in_blocks_or_pixels = 0, basisu_transcoder_state* pState = nullptr, uint32_t output_rows_in_pixels = 0) const;
// Finds the basis slice corresponding to the specified image/level/alpha params, or -1 if the slice can't be found.
int find_slice(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index, bool alpha_data) const;
// transcode_slice() decodes a single slice from the .basis file. It's a low-level API - most likely you want to use transcode_image_level().
// This is a low-level API, and will be needed to be called multiple times to decode some texture formats (like BC3, BC5, or ETC2).
// output_blocks_buf_size_in_blocks_or_pixels is just used for verification to make sure the output buffer is large enough.
// output_blocks_buf_size_in_blocks_or_pixels should be at least the image level's total_blocks (num_blocks_x * num_blocks_y), or the total number of output pixels if fmt==cTFRGBA32.
// output_block_stride_in_bytes: Number of bytes between each output block.
// output_row_pitch_in_blocks_or_pixels: Number of blocks or pixels per row. If 0, the transcoder uses the slice's num_blocks_x or orig_width (NOT num_blocks_x * 4). Ignored for PVRTC1 (due to texture swizzling).
// output_rows_in_pixels: Ignored unless fmt is cRGBA32. The total number of output rows in the output buffer. If 0, the transcoder assumes the slice's orig_height (NOT num_blocks_y * 4).
// Notes:
// - basisu_transcoder_init() must have been called first to initialize the transcoder lookup tables before calling this function.
bool transcode_slice(const void* pData, uint32_t data_size, uint32_t slice_index,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
block_format fmt, uint32_t output_block_stride_in_bytes, uint32_t decode_flags = 0, uint32_t output_row_pitch_in_blocks_or_pixels = 0, basisu_transcoder_state* pState = nullptr, void* pAlpha_blocks = nullptr,
uint32_t output_rows_in_pixels = 0, int channel0 = -1, int channel1 = -1) const;
static void write_opaque_alpha_blocks(
uint32_t num_blocks_x, uint32_t num_blocks_y,
void* pOutput_blocks, block_format fmt,
uint32_t block_stride_in_bytes, uint32_t output_row_pitch_in_blocks_or_pixels);
void set_global_codebooks(const basisu_lowlevel_etc1s_transcoder* pGlobal_codebook) { m_lowlevel_etc1s_decoder.set_global_codebooks(pGlobal_codebook); }
const basisu_lowlevel_etc1s_transcoder* get_global_codebooks() const { return m_lowlevel_etc1s_decoder.get_global_codebooks(); }
const basisu_lowlevel_etc1s_transcoder& get_lowlevel_etc1s_decoder() const { return m_lowlevel_etc1s_decoder; }
basisu_lowlevel_etc1s_transcoder& get_lowlevel_etc1s_decoder() { return m_lowlevel_etc1s_decoder; }
const basisu_lowlevel_uastc_transcoder& get_lowlevel_uastc_decoder() const { return m_lowlevel_uastc_decoder; }
basisu_lowlevel_uastc_transcoder& get_lowlevel_uastc_decoder() { return m_lowlevel_uastc_decoder; }
private:
mutable basisu_lowlevel_etc1s_transcoder m_lowlevel_etc1s_decoder;
mutable basisu_lowlevel_uastc_transcoder m_lowlevel_uastc_decoder;
bool m_ready_to_transcode;
int find_first_slice_index(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index) const;
bool validate_header_quick(const void* pData, uint32_t data_size) const;
};
// basisu_transcoder_init() MUST be called before a .basis file can be transcoded.
void basisu_transcoder_init();
enum debug_flags_t
{
cDebugFlagVisCRs = 1,
cDebugFlagVisBC1Sels = 2,
cDebugFlagVisBC1Endpoints = 4
};
uint32_t get_debug_flags();
void set_debug_flags(uint32_t f);
// ------------------------------------------------------------------------------------------------------
// Optional .KTX2 file format support
// KTX2 reading optionally requires miniz or Zstd decompressors for supercompressed UASTC files.
// ------------------------------------------------------------------------------------------------------
#if BASISD_SUPPORT_KTX2
#pragma pack(push)
#pragma pack(1)
struct ktx2_header
{
uint8_t m_identifier[12];
basisu::packed_uint<4> m_vk_format;
basisu::packed_uint<4> m_type_size;
basisu::packed_uint<4> m_pixel_width;
basisu::packed_uint<4> m_pixel_height;
basisu::packed_uint<4> m_pixel_depth;
basisu::packed_uint<4> m_layer_count;
basisu::packed_uint<4> m_face_count;
basisu::packed_uint<4> m_level_count;
basisu::packed_uint<4> m_supercompression_scheme;
basisu::packed_uint<4> m_dfd_byte_offset;
basisu::packed_uint<4> m_dfd_byte_length;
basisu::packed_uint<4> m_kvd_byte_offset;
basisu::packed_uint<4> m_kvd_byte_length;
basisu::packed_uint<8> m_sgd_byte_offset;
basisu::packed_uint<8> m_sgd_byte_length;
};
struct ktx2_level_index
{
basisu::packed_uint<8> m_byte_offset;
basisu::packed_uint<8> m_byte_length;
basisu::packed_uint<8> m_uncompressed_byte_length;
};
struct ktx2_etc1s_global_data_header
{
basisu::packed_uint<2> m_endpoint_count;
basisu::packed_uint<2> m_selector_count;
basisu::packed_uint<4> m_endpoints_byte_length;
basisu::packed_uint<4> m_selectors_byte_length;
basisu::packed_uint<4> m_tables_byte_length;
basisu::packed_uint<4> m_extended_byte_length;
};
struct ktx2_etc1s_image_desc
{
basisu::packed_uint<4> m_image_flags;
basisu::packed_uint<4> m_rgb_slice_byte_offset;
basisu::packed_uint<4> m_rgb_slice_byte_length;
basisu::packed_uint<4> m_alpha_slice_byte_offset;
basisu::packed_uint<4> m_alpha_slice_byte_length;
};
struct ktx2_animdata
{
basisu::packed_uint<4> m_duration;
basisu::packed_uint<4> m_timescale;
basisu::packed_uint<4> m_loopcount;
};
#pragma pack(pop)
const uint32_t KTX2_VK_FORMAT_UNDEFINED = 0;
const uint32_t KTX2_KDF_DF_MODEL_UASTC = 166;
const uint32_t KTX2_KDF_DF_MODEL_ETC1S = 163;
const uint32_t KTX2_IMAGE_IS_P_FRAME = 2;
const uint32_t KTX2_UASTC_BLOCK_SIZE = 16;
const uint32_t KTX2_MAX_SUPPORTED_LEVEL_COUNT = 16; // this is an implementation specific constraint and can be increased
// The KTX2 transfer functions supported by KTX2
const uint32_t KTX2_KHR_DF_TRANSFER_LINEAR = 1;
const uint32_t KTX2_KHR_DF_TRANSFER_SRGB = 2;
enum ktx2_supercompression
{
KTX2_SS_NONE = 0,
KTX2_SS_BASISLZ = 1,
KTX2_SS_ZSTANDARD = 2
};
extern const uint8_t g_ktx2_file_identifier[12];
enum ktx2_df_channel_id
{
KTX2_DF_CHANNEL_ETC1S_RGB = 0U,
KTX2_DF_CHANNEL_ETC1S_RRR = 3U,
KTX2_DF_CHANNEL_ETC1S_GGG = 4U,
KTX2_DF_CHANNEL_ETC1S_AAA = 15U,
KTX2_DF_CHANNEL_UASTC_DATA = 0U,
KTX2_DF_CHANNEL_UASTC_RGB = 0U,
KTX2_DF_CHANNEL_UASTC_RGBA = 3U,
KTX2_DF_CHANNEL_UASTC_RRR = 4U,
KTX2_DF_CHANNEL_UASTC_RRRG = 5U,
KTX2_DF_CHANNEL_UASTC_RG = 6U,
};
inline const char* ktx2_get_etc1s_df_channel_id_str(ktx2_df_channel_id id)
{
switch (id)
{
case KTX2_DF_CHANNEL_ETC1S_RGB: return "RGB";
case KTX2_DF_CHANNEL_ETC1S_RRR: return "RRR";
case KTX2_DF_CHANNEL_ETC1S_GGG: return "GGG";
case KTX2_DF_CHANNEL_ETC1S_AAA: return "AAA";
default: break;
}
return "?";
}
inline const char* ktx2_get_uastc_df_channel_id_str(ktx2_df_channel_id id)
{
switch (id)
{
case KTX2_DF_CHANNEL_UASTC_RGB: return "RGB";
case KTX2_DF_CHANNEL_UASTC_RGBA: return "RGBA";
case KTX2_DF_CHANNEL_UASTC_RRR: return "RRR";
case KTX2_DF_CHANNEL_UASTC_RRRG: return "RRRG";
case KTX2_DF_CHANNEL_UASTC_RG: return "RG";
default: break;
}
return "?";
}
enum ktx2_df_color_primaries
{
KTX2_DF_PRIMARIES_UNSPECIFIED = 0,
KTX2_DF_PRIMARIES_BT709 = 1,
KTX2_DF_PRIMARIES_SRGB = 1,
KTX2_DF_PRIMARIES_BT601_EBU = 2,
KTX2_DF_PRIMARIES_BT601_SMPTE = 3,
KTX2_DF_PRIMARIES_BT2020 = 4,
KTX2_DF_PRIMARIES_CIEXYZ = 5,
KTX2_DF_PRIMARIES_ACES = 6,
KTX2_DF_PRIMARIES_ACESCC = 7,
KTX2_DF_PRIMARIES_NTSC1953 = 8,
KTX2_DF_PRIMARIES_PAL525 = 9,
KTX2_DF_PRIMARIES_DISPLAYP3 = 10,
KTX2_DF_PRIMARIES_ADOBERGB = 11
};
inline const char* ktx2_get_df_color_primaries_str(ktx2_df_color_primaries p)
{
switch (p)
{
case KTX2_DF_PRIMARIES_UNSPECIFIED: return "UNSPECIFIED";
case KTX2_DF_PRIMARIES_BT709: return "BT709";
case KTX2_DF_PRIMARIES_BT601_EBU: return "EBU";
case KTX2_DF_PRIMARIES_BT601_SMPTE: return "SMPTE";
case KTX2_DF_PRIMARIES_BT2020: return "BT2020";
case KTX2_DF_PRIMARIES_CIEXYZ: return "CIEXYZ";
case KTX2_DF_PRIMARIES_ACES: return "ACES";
case KTX2_DF_PRIMARIES_ACESCC: return "ACESCC";
case KTX2_DF_PRIMARIES_NTSC1953: return "NTSC1953";
case KTX2_DF_PRIMARIES_PAL525: return "PAL525";
case KTX2_DF_PRIMARIES_DISPLAYP3: return "DISPLAYP3";
case KTX2_DF_PRIMARIES_ADOBERGB: return "ADOBERGB";
default: break;
}
return "?";
}
// Information about a single 2D texture "image" in a KTX2 file.
struct ktx2_image_level_info
{
// The mipmap level index (0=largest), texture array layer index, and cubemap face index of the image.
uint32_t m_level_index;
uint32_t m_layer_index;
uint32_t m_face_index;
// The image's actual (or the original source image's) width/height in pixels, which may not be divisible by 4 pixels.
uint32_t m_orig_width;
uint32_t m_orig_height;
// The image's physical width/height, which will always be divisible by 4 pixels.
uint32_t m_width;
uint32_t m_height;
// The texture's dimensions in 4x4 texel blocks.
uint32_t m_num_blocks_x;
uint32_t m_num_blocks_y;
// The total number of blocks
uint32_t m_total_blocks;
// true if the image has alpha data
bool m_alpha_flag;
// true if the image is an I-Frame. Currently, for ETC1S textures, the first frame will always be an I-Frame, and subsequent frames will always be P-Frames.
bool m_iframe_flag;
};
// Thread-specific ETC1S/supercompressed UASTC transcoder state. (If you're not doing multithreading transcoding you can ignore this.)
struct ktx2_transcoder_state
{
basist::basisu_transcoder_state m_transcoder_state;
basisu::uint8_vec m_level_uncomp_data;
int m_uncomp_data_level_index;
void clear()
{
m_transcoder_state.clear();
m_level_uncomp_data.clear();
m_uncomp_data_level_index = -1;
}
};
// This class is quite similar to basisu_transcoder. It treats KTX2 files as a simple container for ETC1S/UASTC texture data.
// It does not support 1D or 3D textures.
// It only supports 2D and cubemap textures, with or without mipmaps, texture arrays of 2D/cubemap textures, and texture video files.
// It only supports raw non-supercompressed UASTC, ETC1S, UASTC+Zstd, or UASTC+zlib compressed files.
// DFD (Data Format Descriptor) parsing is purposely as simple as possible.
// If you need to know how to interpret the texture channels you'll need to parse the DFD yourself after calling get_dfd().
class ktx2_transcoder
{
public:
ktx2_transcoder();
// Frees all allocations, resets object.
void clear();
// init() parses the KTX2 header, level index array, DFD, and key values, but nothing else.
// Importantly, it does not parse or decompress the ETC1S global supercompressed data, so some things (like which frames are I/P-Frames) won't be available until start_transcoding() is called.
// This method holds a pointer to the file data until clear() is called.
bool init(const void* pData, uint32_t data_size);
// Returns the data/size passed to init().
const uint8_t* get_data() const { return m_pData; }
uint32_t get_data_size() const { return m_data_size; }
// Returns the KTX2 header. Valid after init().
const ktx2_header& get_header() const { return m_header; }
// Returns the KTX2 level index array. There will be one entry for each mipmap level. Valid after init().
const basisu::vector<ktx2_level_index>& get_level_index() const { return m_levels; }
// Returns the texture's width in texels. Always non-zero, might not be divisible by 4. Valid after init().
uint32_t get_width() const { return m_header.m_pixel_width; }
// Returns the texture's height in texels. Always non-zero, might not be divisible by 4. Valid after init().
uint32_t get_height() const { return m_header.m_pixel_height; }
// Returns the texture's number of mipmap levels. Always returns 1 or higher. Valid after init().
uint32_t get_levels() const { return m_header.m_level_count; }
// Returns the number of faces. Returns 1 for 2D textures and or 6 for cubemaps. Valid after init().
uint32_t get_faces() const { return m_header.m_face_count; }
// Returns 0 or the number of layers in the texture array or texture video. Valid after init().
uint32_t get_layers() const { return m_header.m_layer_count; }
// Returns cETC1S or cUASTC4x4. Valid after init().
basist::basis_tex_format get_format() const { return m_format; }
bool is_etc1s() const { return get_format() == basist::basis_tex_format::cETC1S; }
bool is_uastc() const { return get_format() == basist::basis_tex_format::cUASTC4x4; }
// Returns true if the ETC1S file has two planes (typically RGBA, or RRRG), or true if the UASTC file has alpha data. Valid after init().
uint32_t get_has_alpha() const { return m_has_alpha; }
// Returns the entire Data Format Descriptor (DFD) from the KTX2 file. Valid after init().
// See https://www.khronos.org/registry/DataFormat/specs/1.3/dataformat.1.3.html#_the_khronos_data_format_descriptor_overview
const basisu::uint8_vec& get_dfd() const { return m_dfd; }
// Some basic DFD accessors. Valid after init().
uint32_t get_dfd_color_model() const { return m_dfd_color_model; }
// Returns the DFD color primary.
// We do not validate the color primaries, so the returned value may not be in the ktx2_df_color_primaries enum.
ktx2_df_color_primaries get_dfd_color_primaries() const { return m_dfd_color_prims; }
// Returns KTX2_KHR_DF_TRANSFER_LINEAR or KTX2_KHR_DF_TRANSFER_SRGB.
uint32_t get_dfd_transfer_func() const { return m_dfd_transfer_func; }
uint32_t get_dfd_flags() const { return m_dfd_flags; }
// Returns 1 (ETC1S/UASTC) or 2 (ETC1S with an internal alpha channel).
uint32_t get_dfd_total_samples() const { return m_dfd_samples; }
// Returns the channel mapping for each DFD "sample". UASTC always has 1 sample, ETC1S can have one or two.
// Note the returned value SHOULD be one of the ktx2_df_channel_id enums, but we don't validate that.
// It's up to the caller to decide what to do if the value isn't in the enum.
ktx2_df_channel_id get_dfd_channel_id0() const { return m_dfd_chan0; }
ktx2_df_channel_id get_dfd_channel_id1() const { return m_dfd_chan1; }
// Key value field data.
struct key_value
{
// The key field is UTF8 and always zero terminated.
basisu::uint8_vec m_key;
// The value may be empty. It consists of raw bytes which may or may not be zero terminated.
basisu::uint8_vec m_value;
bool operator< (const key_value& rhs) const { return strcmp((const char*)m_key.data(), (const char *)rhs.m_key.data()) < 0; }
};
typedef basisu::vector<key_value> key_value_vec;
// Returns the array of key-value entries. This may be empty. Valid after init().
// The order of key values fields in this array exactly matches the order they were stored in the file. The keys are supposed to be sorted by their Unicode code points.
const key_value_vec& get_key_values() const { return m_key_values; }
const basisu::uint8_vec *find_key(const std::string& key_name) const;
// Low-level ETC1S specific accessors
// Returns the ETC1S global supercompression data header, which is only valid after start_transcoding() is called.
const ktx2_etc1s_global_data_header& get_etc1s_header() const { return m_etc1s_header; }
// Returns the array of ETC1S image descriptors, which is only valid after get_etc1s_image_descs() is called.
const basisu::vector<ktx2_etc1s_image_desc>& get_etc1s_image_descs() const { return m_etc1s_image_descs; }
// Must have called startTranscoding() first
uint32_t get_etc1s_image_descs_image_flags(uint32_t level_index, uint32_t layer_index, uint32_t face_index) const;
// is_video() is only valid after start_transcoding() is called.
// For ETC1S data, if this returns true you must currently transcode the file from first to last frame, in order, without skipping any frames.
bool is_video() const { return m_is_video; }
// start_transcoding() MUST be called before calling transcode_image().
// This method decompresses the ETC1S global endpoint/selector codebooks, which is not free, so try to avoid calling it excessively.
bool start_transcoding();
// get_image_level_info() be called after init(), but the m_iframe_flag's won't be valid until start_transcoding() is called.
// You can call this method before calling transcode_image_level() to retrieve basic information about the mipmap level's dimensions, etc.
bool get_image_level_info(ktx2_image_level_info& level_info, uint32_t level_index, uint32_t layer_index, uint32_t face_index) const;
// transcode_image_level() transcodes a single 2D texture or cubemap face from the KTX2 file.
// Internally it uses the same low-level transcode API's as basisu_transcoder::transcode_image_level().
// If the file is UASTC and is supercompressed with Zstandard, and the file is a texture array or cubemap, it's highly recommended that each mipmap level is
// completely transcoded before switching to another level. Every time the mipmap level is changed all supercompressed level data must be decompressed using Zstandard as a single unit.
// Currently ETC1S videos must always be transcoded from first to last frame (or KTX2 "layer"), in order, with no skipping of frames.
// By default this method is not thread safe unless you specify a pointer to a user allocated thread-specific transcoder_state struct.
bool transcode_image_level(
uint32_t level_index, uint32_t layer_index, uint32_t face_index,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
basist::transcoder_texture_format fmt,
uint32_t decode_flags = 0, uint32_t output_row_pitch_in_blocks_or_pixels = 0, uint32_t output_rows_in_pixels = 0, int channel0 = -1, int channel1 = -1,
ktx2_transcoder_state *pState = nullptr);
private:
const uint8_t* m_pData;
uint32_t m_data_size;
ktx2_header m_header;
basisu::vector<ktx2_level_index> m_levels;
basisu::uint8_vec m_dfd;
key_value_vec m_key_values;
ktx2_etc1s_global_data_header m_etc1s_header;
basisu::vector<ktx2_etc1s_image_desc> m_etc1s_image_descs;
basist::basis_tex_format m_format;
uint32_t m_dfd_color_model;
ktx2_df_color_primaries m_dfd_color_prims;
uint32_t m_dfd_transfer_func;
uint32_t m_dfd_flags;
uint32_t m_dfd_samples;
ktx2_df_channel_id m_dfd_chan0, m_dfd_chan1;
basist::basisu_lowlevel_etc1s_transcoder m_etc1s_transcoder;
basist::basisu_lowlevel_uastc_transcoder m_uastc_transcoder;
ktx2_transcoder_state m_def_transcoder_state;
bool m_has_alpha;
bool m_is_video;
bool decompress_level_data(uint32_t level_index, basisu::uint8_vec& uncomp_data);
bool decompress_etc1s_global_data();
bool read_key_values();
};
#endif // BASISD_SUPPORT_KTX2
// Returns true if the transcoder was compiled with KTX2 support.
bool basisu_transcoder_supports_ktx2();
// Returns true if the transcoder was compiled with Zstandard support.
bool basisu_transcoder_supports_ktx2_zstd();
} // namespace basisu
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_containers_impl.h | // basisu_containers_impl.h
// Do not include directly
#ifdef _MSC_VER
#pragma warning (disable:4127) // warning C4127: conditional expression is constant
#endif
namespace basisu
{
bool elemental_vector::increase_capacity(uint32_t min_new_capacity, bool grow_hint, uint32_t element_size, object_mover pMover, bool nofail)
{
assert(m_size <= m_capacity);
if (sizeof(void *) == sizeof(uint64_t))
assert(min_new_capacity < (0x400000000ULL / element_size));
else
assert(min_new_capacity < (0x7FFF0000U / element_size));
if (m_capacity >= min_new_capacity)
return true;
size_t new_capacity = min_new_capacity;
if ((grow_hint) && (!helpers::is_power_of_2((uint64_t)new_capacity)))
{
new_capacity = (size_t)helpers::next_pow2((uint64_t)new_capacity);
assert(new_capacity && (new_capacity > m_capacity));
if (new_capacity < min_new_capacity)
{
if (nofail)
return false;
fprintf(stderr, "vector too large\n");
abort();
}
}
const size_t desired_size = element_size * new_capacity;
size_t actual_size = 0;
if (!pMover)
{
void* new_p = realloc(m_p, desired_size);
if (!new_p)
{
if (nofail)
return false;
char buf[256];
#ifdef _MSC_VER
sprintf_s(buf, sizeof(buf), "vector: realloc() failed allocating %u bytes", (uint32_t)desired_size);
#else
sprintf(buf, "vector: realloc() failed allocating %u bytes", (uint32_t)desired_size);
#endif
fprintf(stderr, "%s", buf);
abort();
}
#if BASISU_VECTOR_DETERMINISTIC
actual_size = desired_size;
#elif defined(_MSC_VER)
actual_size = _msize(new_p);
#elif HAS_MALLOC_USABLE_SIZE
actual_size = malloc_usable_size(new_p);
#else
actual_size = desired_size;
#endif
m_p = new_p;
}
else
{
void* new_p = malloc(desired_size);
if (!new_p)
{
if (nofail)
return false;
char buf[256];
#ifdef _MSC_VER
sprintf_s(buf, sizeof(buf), "vector: malloc() failed allocating %u bytes", (uint32_t)desired_size);
#else
sprintf(buf, "vector: malloc() failed allocating %u bytes", (uint32_t)desired_size);
#endif
fprintf(stderr, "%s", buf);
abort();
}
#if BASISU_VECTOR_DETERMINISTIC
actual_size = desired_size;
#elif defined(_MSC_VER)
actual_size = _msize(new_p);
#elif HAS_MALLOC_USABLE_SIZE
actual_size = malloc_usable_size(new_p);
#else
actual_size = desired_size;
#endif
(*pMover)(new_p, m_p, m_size);
if (m_p)
free(m_p);
m_p = new_p;
}
if (actual_size > desired_size)
m_capacity = static_cast<uint32_t>(actual_size / element_size);
else
m_capacity = static_cast<uint32_t>(new_capacity);
return true;
}
#if BASISU_HASHMAP_TEST
#define HASHMAP_TEST_VERIFY(c) do { if (!(c)) handle_hashmap_test_verify_failure(__LINE__); } while(0)
static void handle_hashmap_test_verify_failure(int line)
{
fprintf(stderr, "HASHMAP_TEST_VERIFY() faild on line %i\n", line);
abort();
}
class counted_obj
{
public:
counted_obj(uint32_t v = 0) :
m_val(v)
{
m_count++;
}
counted_obj(const counted_obj& obj) :
m_val(obj.m_val)
{
m_count++;
}
~counted_obj()
{
assert(m_count > 0);
m_count--;
}
static uint32_t m_count;
uint32_t m_val;
operator size_t() const { return m_val; }
bool operator== (const counted_obj& rhs) const { return m_val == rhs.m_val; }
bool operator== (const uint32_t rhs) const { return m_val == rhs; }
};
uint32_t counted_obj::m_count;
static uint32_t urand32()
{
uint32_t a = rand();
uint32_t b = rand() << 15;
uint32_t c = rand() << (32 - 15);
return a ^ b ^ c;
}
static int irand32(int l, int h)
{
assert(l < h);
if (l >= h)
return l;
uint32_t range = static_cast<uint32_t>(h - l);
uint32_t rnd = urand32();
uint32_t rnd_range = static_cast<uint32_t>((((uint64_t)range) * ((uint64_t)rnd)) >> 32U);
int result = l + rnd_range;
assert((result >= l) && (result < h));
return result;
}
void hash_map_test()
{
{
basisu::hash_map<uint64_t, uint64_t> k;
basisu::hash_map<uint64_t, uint64_t> l;
std::swap(k, l);
k.begin();
k.end();
k.clear();
k.empty();
k.erase(0);
k.insert(0, 1);
k.find(0);
k.get_equals();
k.get_hasher();
k.get_table_size();
k.reset();
k.reserve(1);
k = l;
k.set_equals(l.get_equals());
k.set_hasher(l.get_hasher());
k.get_table_size();
}
uint32_t seed = 0;
for (; ; )
{
seed++;
typedef basisu::hash_map<counted_obj, counted_obj> my_hash_map;
my_hash_map m;
const uint32_t n = irand32(0, 100000);
printf("%u\n", n);
srand(seed); // r1.seed(seed);
basisu::vector<int> q;
uint32_t count = 0;
for (uint32_t i = 0; i < n; i++)
{
uint32_t v = urand32() & 0x7FFFFFFF;
my_hash_map::insert_result res = m.insert(counted_obj(v), counted_obj(v ^ 0xdeadbeef));
if (res.second)
{
count++;
q.push_back(v);
}
}
HASHMAP_TEST_VERIFY(m.size() == count);
srand(seed);
my_hash_map cm(m);
m.clear();
m = cm;
cm.reset();
for (uint32_t i = 0; i < n; i++)
{
uint32_t v = urand32() & 0x7FFFFFFF;
my_hash_map::const_iterator it = m.find(counted_obj(v));
HASHMAP_TEST_VERIFY(it != m.end());
HASHMAP_TEST_VERIFY(it->first == v);
HASHMAP_TEST_VERIFY(it->second == (v ^ 0xdeadbeef));
}
for (uint32_t t = 0; t < 2; t++)
{
const uint32_t nd = irand32(1, q.size() + 1);
for (uint32_t i = 0; i < nd; i++)
{
uint32_t p = irand32(0, q.size());
int k = q[p];
if (k >= 0)
{
q[p] = -k - 1;
bool s = m.erase(counted_obj(k));
HASHMAP_TEST_VERIFY(s);
}
}
typedef basisu::hash_map<uint32_t, empty_type> uint_hash_set;
uint_hash_set s;
for (uint32_t i = 0; i < q.size(); i++)
{
int v = q[i];
if (v >= 0)
{
my_hash_map::const_iterator it = m.find(counted_obj(v));
HASHMAP_TEST_VERIFY(it != m.end());
HASHMAP_TEST_VERIFY(it->first == (uint32_t)v);
HASHMAP_TEST_VERIFY(it->second == ((uint32_t)v ^ 0xdeadbeef));
s.insert(v);
}
else
{
my_hash_map::const_iterator it = m.find(counted_obj(-v - 1));
HASHMAP_TEST_VERIFY(it == m.end());
}
}
uint32_t found_count = 0;
for (my_hash_map::const_iterator it = m.begin(); it != m.end(); ++it)
{
HASHMAP_TEST_VERIFY(it->second == ((uint32_t)it->first ^ 0xdeadbeef));
uint_hash_set::const_iterator fit(s.find((uint32_t)it->first));
HASHMAP_TEST_VERIFY(fit != s.end());
HASHMAP_TEST_VERIFY(fit->first == it->first);
found_count++;
}
HASHMAP_TEST_VERIFY(found_count == s.size());
}
HASHMAP_TEST_VERIFY(counted_obj::m_count == m.size() * 2);
}
}
#endif // BASISU_HASHMAP_TEST
} // namespace basisu
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_transcoder_internal.h | // basisu_transcoder_internal.h - Universal texture format transcoder library.
// Copyright (C) 2019-2021 Binomial LLC. All Rights Reserved.
//
// Important: If compiling with gcc, be sure strict aliasing is disabled: -fno-strict-aliasing
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
#pragma once
#ifdef _MSC_VER
#pragma warning (disable: 4127) // conditional expression is constant
#endif
#define BASISD_LIB_VERSION 116
#define BASISD_VERSION_STRING "01.16"
#ifdef _DEBUG
#define BASISD_BUILD_DEBUG
#else
#define BASISD_BUILD_RELEASE
#endif
#include "basisu.h"
#define BASISD_znew (z = 36969 * (z & 65535) + (z >> 16))
namespace basisu
{
extern bool g_debug_printf;
}
namespace basist
{
// Low-level formats directly supported by the transcoder (other supported texture formats are combinations of these low-level block formats).
// You probably don't care about these enum's unless you are going pretty low-level and calling the transcoder to decode individual slices.
enum class block_format
{
cETC1, // ETC1S RGB
cETC2_RGBA, // full ETC2 EAC RGBA8 block
cBC1, // DXT1 RGB
cBC3, // BC4 block followed by a four color BC1 block
cBC4, // DXT5A (alpha block only)
cBC5, // two BC4 blocks
cPVRTC1_4_RGB, // opaque-only PVRTC1 4bpp
cPVRTC1_4_RGBA, // PVRTC1 4bpp RGBA
cBC7, // Full BC7 block, any mode
cBC7_M5_COLOR, // RGB BC7 mode 5 color (writes an opaque mode 5 block)
cBC7_M5_ALPHA, // alpha portion of BC7 mode 5 (cBC7_M5_COLOR output data must have been written to the output buffer first to set the mode/rot fields etc.)
cETC2_EAC_A8, // alpha block of ETC2 EAC (first 8 bytes of the 16-bit ETC2 EAC RGBA format)
cASTC_4x4, // ASTC 4x4 (either color-only or color+alpha). Note that the transcoder always currently assumes sRGB is not enabled when outputting ASTC
// data. If you use a sRGB ASTC format you'll get ~1 LSB of additional error, because of the different way ASTC decoders scale 8-bit endpoints to 16-bits during unpacking.
cATC_RGB,
cATC_RGBA_INTERPOLATED_ALPHA,
cFXT1_RGB, // Opaque-only, has oddball 8x4 pixel block size
cPVRTC2_4_RGB,
cPVRTC2_4_RGBA,
cETC2_EAC_R11,
cETC2_EAC_RG11,
cIndices, // Used internally: Write 16-bit endpoint and selector indices directly to output (output block must be at least 32-bits)
cRGB32, // Writes RGB components to 32bpp output pixels
cRGBA32, // Writes RGB255 components to 32bpp output pixels
cA32, // Writes alpha component to 32bpp output pixels
cRGB565,
cBGR565,
cRGBA4444_COLOR,
cRGBA4444_ALPHA,
cRGBA4444_COLOR_OPAQUE,
cRGBA4444,
cUASTC_4x4,
cTotalBlockFormats
};
const int COLOR5_PAL0_PREV_HI = 9, COLOR5_PAL0_DELTA_LO = -9, COLOR5_PAL0_DELTA_HI = 31;
const int COLOR5_PAL1_PREV_HI = 21, COLOR5_PAL1_DELTA_LO = -21, COLOR5_PAL1_DELTA_HI = 21;
const int COLOR5_PAL2_PREV_HI = 31, COLOR5_PAL2_DELTA_LO = -31, COLOR5_PAL2_DELTA_HI = 9;
const int COLOR5_PAL_MIN_DELTA_B_RUNLEN = 3, COLOR5_PAL_DELTA_5_RUNLEN_VLC_BITS = 3;
const uint32_t ENDPOINT_PRED_TOTAL_SYMBOLS = (4 * 4 * 4 * 4) + 1;
const uint32_t ENDPOINT_PRED_REPEAT_LAST_SYMBOL = ENDPOINT_PRED_TOTAL_SYMBOLS - 1;
const uint32_t ENDPOINT_PRED_MIN_REPEAT_COUNT = 3;
const uint32_t ENDPOINT_PRED_COUNT_VLC_BITS = 4;
const uint32_t NUM_ENDPOINT_PREDS = 3;// BASISU_ARRAY_SIZE(g_endpoint_preds);
const uint32_t CR_ENDPOINT_PRED_INDEX = NUM_ENDPOINT_PREDS - 1;
const uint32_t NO_ENDPOINT_PRED_INDEX = 3;//NUM_ENDPOINT_PREDS;
const uint32_t MAX_SELECTOR_HISTORY_BUF_SIZE = 64;
const uint32_t SELECTOR_HISTORY_BUF_RLE_COUNT_THRESH = 3;
const uint32_t SELECTOR_HISTORY_BUF_RLE_COUNT_BITS = 6;
const uint32_t SELECTOR_HISTORY_BUF_RLE_COUNT_TOTAL = (1 << SELECTOR_HISTORY_BUF_RLE_COUNT_BITS);
uint16_t crc16(const void *r, size_t size, uint16_t crc);
class huffman_decoding_table
{
friend class bitwise_decoder;
public:
huffman_decoding_table()
{
}
void clear()
{
basisu::clear_vector(m_code_sizes);
basisu::clear_vector(m_lookup);
basisu::clear_vector(m_tree);
}
bool init(uint32_t total_syms, const uint8_t *pCode_sizes, uint32_t fast_lookup_bits = basisu::cHuffmanFastLookupBits)
{
if (!total_syms)
{
clear();
return true;
}
m_code_sizes.resize(total_syms);
memcpy(&m_code_sizes[0], pCode_sizes, total_syms);
const uint32_t huffman_fast_lookup_size = 1 << fast_lookup_bits;
m_lookup.resize(0);
m_lookup.resize(huffman_fast_lookup_size);
m_tree.resize(0);
m_tree.resize(total_syms * 2);
uint32_t syms_using_codesize[basisu::cHuffmanMaxSupportedInternalCodeSize + 1];
basisu::clear_obj(syms_using_codesize);
for (uint32_t i = 0; i < total_syms; i++)
{
if (pCode_sizes[i] > basisu::cHuffmanMaxSupportedInternalCodeSize)
return false;
syms_using_codesize[pCode_sizes[i]]++;
}
uint32_t next_code[basisu::cHuffmanMaxSupportedInternalCodeSize + 1];
next_code[0] = next_code[1] = 0;
uint32_t used_syms = 0, total = 0;
for (uint32_t i = 1; i < basisu::cHuffmanMaxSupportedInternalCodeSize; i++)
{
used_syms += syms_using_codesize[i];
next_code[i + 1] = (total = ((total + syms_using_codesize[i]) << 1));
}
if (((1U << basisu::cHuffmanMaxSupportedInternalCodeSize) != total) && (used_syms != 1U))
return false;
for (int tree_next = -1, sym_index = 0; sym_index < (int)total_syms; ++sym_index)
{
uint32_t rev_code = 0, l, cur_code, code_size = pCode_sizes[sym_index];
if (!code_size)
continue;
cur_code = next_code[code_size]++;
for (l = code_size; l > 0; l--, cur_code >>= 1)
rev_code = (rev_code << 1) | (cur_code & 1);
if (code_size <= fast_lookup_bits)
{
uint32_t k = (code_size << 16) | sym_index;
while (rev_code < huffman_fast_lookup_size)
{
if (m_lookup[rev_code] != 0)
{
// Supplied codesizes can't create a valid prefix code.
return false;
}
m_lookup[rev_code] = k;
rev_code += (1 << code_size);
}
continue;
}
int tree_cur;
if (0 == (tree_cur = m_lookup[rev_code & (huffman_fast_lookup_size - 1)]))
{
const uint32_t idx = rev_code & (huffman_fast_lookup_size - 1);
if (m_lookup[idx] != 0)
{
// Supplied codesizes can't create a valid prefix code.
return false;
}
m_lookup[idx] = tree_next;
tree_cur = tree_next;
tree_next -= 2;
}
if (tree_cur >= 0)
{
// Supplied codesizes can't create a valid prefix code.
return false;
}
rev_code >>= (fast_lookup_bits - 1);
for (int j = code_size; j > ((int)fast_lookup_bits + 1); j--)
{
tree_cur -= ((rev_code >>= 1) & 1);
const int idx = -tree_cur - 1;
if (idx < 0)
return false;
else if (idx >= (int)m_tree.size())
m_tree.resize(idx + 1);
if (!m_tree[idx])
{
m_tree[idx] = (int16_t)tree_next;
tree_cur = tree_next;
tree_next -= 2;
}
else
{
tree_cur = m_tree[idx];
if (tree_cur >= 0)
{
// Supplied codesizes can't create a valid prefix code.
return false;
}
}
}
tree_cur -= ((rev_code >>= 1) & 1);
const int idx = -tree_cur - 1;
if (idx < 0)
return false;
else if (idx >= (int)m_tree.size())
m_tree.resize(idx + 1);
if (m_tree[idx] != 0)
{
// Supplied codesizes can't create a valid prefix code.
return false;
}
m_tree[idx] = (int16_t)sym_index;
}
return true;
}
const basisu::uint8_vec &get_code_sizes() const { return m_code_sizes; }
const basisu::int_vec get_lookup() const { return m_lookup; }
const basisu::int16_vec get_tree() const { return m_tree; }
bool is_valid() const { return m_code_sizes.size() > 0; }
private:
basisu::uint8_vec m_code_sizes;
basisu::int_vec m_lookup;
basisu::int16_vec m_tree;
};
class bitwise_decoder
{
public:
bitwise_decoder() :
m_buf_size(0),
m_pBuf(nullptr),
m_pBuf_start(nullptr),
m_pBuf_end(nullptr),
m_bit_buf(0),
m_bit_buf_size(0)
{
}
void clear()
{
m_buf_size = 0;
m_pBuf = nullptr;
m_pBuf_start = nullptr;
m_pBuf_end = nullptr;
m_bit_buf = 0;
m_bit_buf_size = 0;
}
bool init(const uint8_t *pBuf, uint32_t buf_size)
{
if ((!pBuf) && (buf_size))
return false;
m_buf_size = buf_size;
m_pBuf = pBuf;
m_pBuf_start = pBuf;
m_pBuf_end = pBuf + buf_size;
m_bit_buf = 0;
m_bit_buf_size = 0;
return true;
}
void stop()
{
}
inline uint32_t peek_bits(uint32_t num_bits)
{
if (!num_bits)
return 0;
assert(num_bits <= 25);
while (m_bit_buf_size < num_bits)
{
uint32_t c = 0;
if (m_pBuf < m_pBuf_end)
c = *m_pBuf++;
m_bit_buf |= (c << m_bit_buf_size);
m_bit_buf_size += 8;
assert(m_bit_buf_size <= 32);
}
return m_bit_buf & ((1 << num_bits) - 1);
}
void remove_bits(uint32_t num_bits)
{
assert(m_bit_buf_size >= num_bits);
m_bit_buf >>= num_bits;
m_bit_buf_size -= num_bits;
}
uint32_t get_bits(uint32_t num_bits)
{
if (num_bits > 25)
{
assert(num_bits <= 32);
const uint32_t bits0 = peek_bits(25);
m_bit_buf >>= 25;
m_bit_buf_size -= 25;
num_bits -= 25;
const uint32_t bits = peek_bits(num_bits);
m_bit_buf >>= num_bits;
m_bit_buf_size -= num_bits;
return bits0 | (bits << 25);
}
const uint32_t bits = peek_bits(num_bits);
m_bit_buf >>= num_bits;
m_bit_buf_size -= num_bits;
return bits;
}
uint32_t decode_truncated_binary(uint32_t n)
{
assert(n >= 2);
const uint32_t k = basisu::floor_log2i(n);
const uint32_t u = (1 << (k + 1)) - n;
uint32_t result = get_bits(k);
if (result >= u)
result = ((result << 1) | get_bits(1)) - u;
return result;
}
uint32_t decode_rice(uint32_t m)
{
assert(m);
uint32_t q = 0;
for (;;)
{
uint32_t k = peek_bits(16);
uint32_t l = 0;
while (k & 1)
{
l++;
k >>= 1;
}
q += l;
remove_bits(l);
if (l < 16)
break;
}
return (q << m) + (get_bits(m + 1) >> 1);
}
inline uint32_t decode_vlc(uint32_t chunk_bits)
{
assert(chunk_bits);
const uint32_t chunk_size = 1 << chunk_bits;
const uint32_t chunk_mask = chunk_size - 1;
uint32_t v = 0;
uint32_t ofs = 0;
for ( ; ; )
{
uint32_t s = get_bits(chunk_bits + 1);
v |= ((s & chunk_mask) << ofs);
ofs += chunk_bits;
if ((s & chunk_size) == 0)
break;
if (ofs >= 32)
{
assert(0);
break;
}
}
return v;
}
inline uint32_t decode_huffman(const huffman_decoding_table &ct, int fast_lookup_bits = basisu::cHuffmanFastLookupBits)
{
assert(ct.m_code_sizes.size());
const uint32_t huffman_fast_lookup_size = 1 << fast_lookup_bits;
while (m_bit_buf_size < 16)
{
uint32_t c = 0;
if (m_pBuf < m_pBuf_end)
c = *m_pBuf++;
m_bit_buf |= (c << m_bit_buf_size);
m_bit_buf_size += 8;
assert(m_bit_buf_size <= 32);
}
int code_len;
int sym;
if ((sym = ct.m_lookup[m_bit_buf & (huffman_fast_lookup_size - 1)]) >= 0)
{
code_len = sym >> 16;
sym &= 0xFFFF;
}
else
{
code_len = fast_lookup_bits;
do
{
sym = ct.m_tree[~sym + ((m_bit_buf >> code_len++) & 1)]; // ~sym = -sym - 1
} while (sym < 0);
}
m_bit_buf >>= code_len;
m_bit_buf_size -= code_len;
return sym;
}
bool read_huffman_table(huffman_decoding_table &ct)
{
ct.clear();
const uint32_t total_used_syms = get_bits(basisu::cHuffmanMaxSymsLog2);
if (!total_used_syms)
return true;
if (total_used_syms > basisu::cHuffmanMaxSyms)
return false;
uint8_t code_length_code_sizes[basisu::cHuffmanTotalCodelengthCodes];
basisu::clear_obj(code_length_code_sizes);
const uint32_t num_codelength_codes = get_bits(5);
if ((num_codelength_codes < 1) || (num_codelength_codes > basisu::cHuffmanTotalCodelengthCodes))
return false;
for (uint32_t i = 0; i < num_codelength_codes; i++)
code_length_code_sizes[basisu::g_huffman_sorted_codelength_codes[i]] = static_cast<uint8_t>(get_bits(3));
huffman_decoding_table code_length_table;
if (!code_length_table.init(basisu::cHuffmanTotalCodelengthCodes, code_length_code_sizes))
return false;
if (!code_length_table.is_valid())
return false;
basisu::uint8_vec code_sizes(total_used_syms);
uint32_t cur = 0;
while (cur < total_used_syms)
{
int c = decode_huffman(code_length_table);
if (c <= 16)
code_sizes[cur++] = static_cast<uint8_t>(c);
else if (c == basisu::cHuffmanSmallZeroRunCode)
cur += get_bits(basisu::cHuffmanSmallZeroRunExtraBits) + basisu::cHuffmanSmallZeroRunSizeMin;
else if (c == basisu::cHuffmanBigZeroRunCode)
cur += get_bits(basisu::cHuffmanBigZeroRunExtraBits) + basisu::cHuffmanBigZeroRunSizeMin;
else
{
if (!cur)
return false;
uint32_t l;
if (c == basisu::cHuffmanSmallRepeatCode)
l = get_bits(basisu::cHuffmanSmallRepeatExtraBits) + basisu::cHuffmanSmallRepeatSizeMin;
else
l = get_bits(basisu::cHuffmanBigRepeatExtraBits) + basisu::cHuffmanBigRepeatSizeMin;
const uint8_t prev = code_sizes[cur - 1];
if (prev == 0)
return false;
do
{
if (cur >= total_used_syms)
return false;
code_sizes[cur++] = prev;
} while (--l > 0);
}
}
if (cur != total_used_syms)
return false;
return ct.init(total_used_syms, &code_sizes[0]);
}
private:
uint32_t m_buf_size;
const uint8_t *m_pBuf;
const uint8_t *m_pBuf_start;
const uint8_t *m_pBuf_end;
uint32_t m_bit_buf;
uint32_t m_bit_buf_size;
};
inline uint32_t basisd_rand(uint32_t seed)
{
if (!seed)
seed++;
uint32_t z = seed;
BASISD_znew;
return z;
}
// Returns random number in [0,limit). Max limit is 0xFFFF.
inline uint32_t basisd_urand(uint32_t& seed, uint32_t limit)
{
seed = basisd_rand(seed);
return (((seed ^ (seed >> 16)) & 0xFFFF) * limit) >> 16;
}
class approx_move_to_front
{
public:
approx_move_to_front(uint32_t n)
{
init(n);
}
void init(uint32_t n)
{
m_values.resize(n);
m_rover = n / 2;
}
const basisu::int_vec& get_values() const { return m_values; }
basisu::int_vec& get_values() { return m_values; }
uint32_t size() const { return (uint32_t)m_values.size(); }
const int& operator[] (uint32_t index) const { return m_values[index]; }
int operator[] (uint32_t index) { return m_values[index]; }
void add(int new_value)
{
m_values[m_rover++] = new_value;
if (m_rover == m_values.size())
m_rover = (uint32_t)m_values.size() / 2;
}
void use(uint32_t index)
{
if (index)
{
//std::swap(m_values[index / 2], m_values[index]);
int x = m_values[index / 2];
int y = m_values[index];
m_values[index / 2] = y;
m_values[index] = x;
}
}
// returns -1 if not found
int find(int value) const
{
for (uint32_t i = 0; i < m_values.size(); i++)
if (m_values[i] == value)
return i;
return -1;
}
void reset()
{
const uint32_t n = (uint32_t)m_values.size();
m_values.clear();
init(n);
}
private:
basisu::int_vec m_values;
uint32_t m_rover;
};
struct decoder_etc_block;
inline uint8_t clamp255(int32_t i)
{
return (uint8_t)((i & 0xFFFFFF00U) ? (~(i >> 31)) : i);
}
enum eNoClamp
{
cNoClamp = 0
};
struct color32
{
union
{
struct
{
uint8_t r;
uint8_t g;
uint8_t b;
uint8_t a;
};
uint8_t c[4];
uint32_t m;
};
color32() { }
color32(uint32_t vr, uint32_t vg, uint32_t vb, uint32_t va) { set(vr, vg, vb, va); }
color32(eNoClamp unused, uint32_t vr, uint32_t vg, uint32_t vb, uint32_t va) { (void)unused; set_noclamp_rgba(vr, vg, vb, va); }
void set(uint32_t vr, uint32_t vg, uint32_t vb, uint32_t va) { c[0] = static_cast<uint8_t>(vr); c[1] = static_cast<uint8_t>(vg); c[2] = static_cast<uint8_t>(vb); c[3] = static_cast<uint8_t>(va); }
void set_noclamp_rgb(uint32_t vr, uint32_t vg, uint32_t vb) { c[0] = static_cast<uint8_t>(vr); c[1] = static_cast<uint8_t>(vg); c[2] = static_cast<uint8_t>(vb); }
void set_noclamp_rgba(uint32_t vr, uint32_t vg, uint32_t vb, uint32_t va) { set(vr, vg, vb, va); }
void set_clamped(int vr, int vg, int vb, int va) { c[0] = clamp255(vr); c[1] = clamp255(vg); c[2] = clamp255(vb); c[3] = clamp255(va); }
uint8_t operator[] (uint32_t idx) const { assert(idx < 4); return c[idx]; }
uint8_t &operator[] (uint32_t idx) { assert(idx < 4); return c[idx]; }
bool operator== (const color32&rhs) const { return m == rhs.m; }
static color32 comp_min(const color32& a, const color32& b) { return color32(cNoClamp, basisu::minimum(a[0], b[0]), basisu::minimum(a[1], b[1]), basisu::minimum(a[2], b[2]), basisu::minimum(a[3], b[3])); }
static color32 comp_max(const color32& a, const color32& b) { return color32(cNoClamp, basisu::maximum(a[0], b[0]), basisu::maximum(a[1], b[1]), basisu::maximum(a[2], b[2]), basisu::maximum(a[3], b[3])); }
};
struct endpoint
{
color32 m_color5;
uint8_t m_inten5;
bool operator== (const endpoint& rhs) const
{
return (m_color5.r == rhs.m_color5.r) && (m_color5.g == rhs.m_color5.g) && (m_color5.b == rhs.m_color5.b) && (m_inten5 == rhs.m_inten5);
}
bool operator!= (const endpoint& rhs) const { return !(*this == rhs); }
};
struct selector
{
// Plain selectors (2-bits per value)
uint8_t m_selectors[4];
// ETC1 selectors
uint8_t m_bytes[4];
uint8_t m_lo_selector, m_hi_selector;
uint8_t m_num_unique_selectors;
bool operator== (const selector& rhs) const
{
return (m_selectors[0] == rhs.m_selectors[0]) &&
(m_selectors[1] == rhs.m_selectors[1]) &&
(m_selectors[2] == rhs.m_selectors[2]) &&
(m_selectors[3] == rhs.m_selectors[3]);
}
bool operator!= (const selector& rhs) const
{
return !(*this == rhs);
}
void init_flags()
{
uint32_t hist[4] = { 0, 0, 0, 0 };
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = get_selector(x, y);
hist[s]++;
}
}
m_lo_selector = 3;
m_hi_selector = 0;
m_num_unique_selectors = 0;
for (uint32_t i = 0; i < 4; i++)
{
if (hist[i])
{
m_num_unique_selectors++;
if (i < m_lo_selector) m_lo_selector = static_cast<uint8_t>(i);
if (i > m_hi_selector) m_hi_selector = static_cast<uint8_t>(i);
}
}
}
// Returned selector value ranges from 0-3 and is a direct index into g_etc1_inten_tables.
inline uint32_t get_selector(uint32_t x, uint32_t y) const
{
assert((x < 4) && (y < 4));
return (m_selectors[y] >> (x * 2)) & 3;
}
void set_selector(uint32_t x, uint32_t y, uint32_t val)
{
static const uint8_t s_selector_index_to_etc1[4] = { 3, 2, 0, 1 };
assert((x | y | val) < 4);
m_selectors[y] &= ~(3 << (x * 2));
m_selectors[y] |= (val << (x * 2));
const uint32_t etc1_bit_index = x * 4 + y;
uint8_t *p = &m_bytes[3 - (etc1_bit_index >> 3)];
const uint32_t byte_bit_ofs = etc1_bit_index & 7;
const uint32_t mask = 1 << byte_bit_ofs;
const uint32_t etc1_val = s_selector_index_to_etc1[val];
const uint32_t lsb = etc1_val & 1;
const uint32_t msb = etc1_val >> 1;
p[0] &= ~mask;
p[0] |= (lsb << byte_bit_ofs);
p[-2] &= ~mask;
p[-2] |= (msb << byte_bit_ofs);
}
};
bool basis_block_format_is_uncompressed(block_format tex_type);
} // namespace basist
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_transcoder_tables_dxt1_5.inc | // Copyright (C) 2017-2019 Binomial LLC. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
{0,2,18},{0,1,9},{0,1,0},{0,1,9},{0,1,40},{0,1,22},{0,1,13},{0,1,61},{0,1,47},{0,1,65},{0,2,18},{0,1,9},{0,1,0},{0,1,9},{0,1,40},{0,1,22},{0,1,13},{0,1,61},{1,0,40},{0,1,61},{0,1,0},{0,1,0},{0,1,0},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,0},
{0,1,0},{0,1,0},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{1,0,18},{0,1,9},{0,1,0},{0,1,9},{1,0,18},{2,0,18},{0,1,9},{0,1,36},{2,0,18},{0,1,36},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,5,54},{0,3,40},{0,2,61},
{0,2,36},{0,4,51},{0,2,37},{0,2,1},{0,2,52},{0,2,77},{0,1,73},{1,3,22},{1,2,13},{1,2,4},{1,2,13},{0,4,51},{1,2,34},{0,2,1},{0,2,52},{4,0,51},{0,2,52},{0,4,37},{0,4,37},{0,4,37},{0,2,36},{0,3,8},{0,2,1},{0,2,1},{0,1,5},{0,1,30},{0,1,9},{1,2,4},{1,2,4},{1,2,4},{1,1,8},{1,1,8},
{0,2,1},{0,2,1},{0,1,5},{3,0,8},{0,1,5},{2,1,18},{0,3,4},{1,2,0},{0,2,0},{2,1,18},{5,0,18},{0,2,0},{0,2,36},{5,0,18},{0,2,36},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,5},{0,1,5},{1,6,54},{1,4,40},{1,3,61},{1,3,36},{1,5,51},{1,3,37},{1,3,1},
{1,3,52},{0,3,72},{0,3,40},{2,4,22},{2,3,13},{2,3,4},{2,3,13},{1,5,51},{0,4,29},{1,3,1},{0,3,40},{7,0,51},{0,3,40},{1,5,37},{1,5,37},{1,5,37},{1,3,36},{1,4,8},{1,3,1},{1,3,1},{1,2,5},{0,3,8},{1,2,9},{2,3,4},{2,3,4},{2,3,4},{2,2,8},{3,0,8},{1,3,1},{1,3,1},{1,2,5},{6,0,8},
{1,2,5},{3,2,18},{1,4,4},{2,3,0},{1,3,0},{3,2,18},{6,1,18},{1,3,0},{0,3,36},{6,1,18},{0,3,36},{1,0,36},{1,0,36},{1,0,36},{1,0,36},{1,3,1},{1,3,1},{1,3,1},{1,2,1},{0,3,4},{0,3,4},{2,7,54},{2,5,40},{2,4,62},{2,4,38},{2,6,51},{2,4,27},{2,4,3},{2,3,69},{0,5,60},{1,4,54},{3,5,22},
{3,4,9},{3,4,6},{3,4,21},{5,0,51},{2,4,27},{2,4,3},{0,4,50},{10,0,51},{0,4,50},{2,6,37},{2,6,37},{2,6,37},{2,4,37},{2,5,8},{2,4,2},{2,4,2},{2,3,5},{1,4,8},{2,3,9},{3,4,5},{3,4,5},{3,4,5},{3,3,8},{4,1,8},{2,4,2},{2,4,2},{2,3,5},{9,0,8},{2,3,5},{3,5,18},{2,5,4},{3,4,2},
{2,4,2},{3,5,18},{7,2,18},{2,4,2},{0,4,50},{7,2,18},{0,4,50},{2,0,36},{2,0,36},{2,0,36},{2,0,36},{2,4,1},{2,4,1},{2,4,1},{2,3,1},{1,4,4},{1,4,4},{3,8,68},{3,6,60},{4,5,68},{3,5,50},{3,7,53},{3,6,28},{3,5,5},{3,5,53},{3,5,68},{2,5,38},{4,6,22},{4,5,13},{4,5,4},{4,5,13},{6,1,52},
{3,6,27},{3,5,4},{1,5,37},{13,0,52},{1,5,37},{3,7,50},{3,7,50},{3,7,50},{3,5,50},{3,6,11},{3,5,5},{3,5,5},{3,4,6},{2,5,11},{3,4,9},{4,5,4},{4,5,4},{4,5,4},{4,4,8},{4,4,8},{3,5,4},{3,5,4},{3,4,5},{12,0,8},{3,4,5},{7,0,18},{4,5,9},{4,5,0},{3,5,0},{7,0,18},{14,0,18},{3,5,0},
{0,5,36},{14,0,18},{0,5,36},{3,0,50},{3,0,50},{3,0,50},{3,0,50},{3,6,2},{3,6,2},{3,6,2},{3,4,2},{2,5,2},{2,5,2},{4,9,54},{4,7,40},{4,6,61},{4,6,36},{4,8,51},{4,6,37},{4,6,1},{4,6,52},{2,7,68},{3,6,38},{5,7,22},{5,6,13},{5,6,4},{5,6,13},{8,0,51},{5,6,34},{4,6,1},{2,6,37},{16,0,51},
{2,6,37},{4,8,37},{4,8,37},{4,8,37},{4,6,36},{4,7,8},{4,6,1},{4,6,1},{4,5,5},{3,6,11},{4,5,9},{5,6,4},{5,6,4},{5,6,4},{5,5,8},{5,5,8},{4,6,1},{4,6,1},{4,5,5},{15,0,8},{4,5,5},{8,1,18},{4,7,4},{5,6,0},{4,6,0},{8,1,18},{17,0,18},{4,6,0},{0,6,36},{17,0,18},{0,6,36},{4,0,36},
{4,0,36},{4,0,36},{4,0,36},{4,6,1},{4,6,1},{4,6,1},{4,5,1},{3,6,2},{3,6,2},{5,10,54},{5,8,40},{5,7,61},{5,7,36},{5,9,51},{5,7,37},{5,7,1},{5,7,52},{3,8,60},{4,7,40},{6,8,22},{6,7,13},{6,7,4},{6,7,13},{9,1,51},{4,8,29},{5,7,1},{3,7,37},{19,0,51},{3,7,37},{5,9,37},{5,9,37},{5,9,37},
{5,7,36},{5,8,8},{5,7,1},{5,7,1},{5,6,5},{4,7,8},{5,6,9},{6,7,4},{6,7,4},{6,7,4},{6,6,8},{9,0,8},{5,7,1},{5,7,1},{5,6,5},{18,0,8},{5,6,5},{10,0,18},{5,8,4},{6,7,0},{5,7,0},{10,0,18},{18,1,18},{5,7,0},{0,7,36},{18,1,18},{0,7,36},{5,0,36},{5,0,36},{5,0,36},{5,0,36},{5,7,1},
{5,7,1},{5,7,1},{5,6,1},{4,7,4},{4,7,4},{6,11,54},{6,9,40},{6,8,62},{6,8,38},{6,10,51},{6,8,27},{6,8,3},{6,7,69},{4,9,60},{5,8,54},{7,9,22},{7,8,9},{7,8,6},{7,8,21},{11,0,51},{6,8,27},{6,8,3},{4,8,50},{22,0,51},{4,8,50},{6,10,37},{6,10,37},{6,10,37},{6,8,37},{6,9,8},{6,8,2},{6,8,2},
{6,7,5},{5,8,8},{6,7,9},{7,8,5},{7,8,5},{7,8,5},{7,7,8},{10,1,8},{6,8,2},{6,8,2},{6,7,5},{21,0,8},{6,7,5},{11,1,18},{6,9,4},{7,8,2},{6,8,2},{11,1,18},{19,2,18},{6,8,2},{0,8,50},{19,2,18},{0,8,50},{6,0,36},{6,0,36},{6,0,36},{6,0,36},{6,8,1},{6,8,1},{6,8,1},{6,7,1},{5,8,4},
{5,8,4},{7,12,68},{7,10,60},{8,9,68},{7,9,50},{7,11,53},{7,10,28},{7,9,5},{7,9,53},{7,9,68},{6,9,38},{8,10,22},{8,9,13},{8,9,4},{8,9,13},{12,1,52},{7,10,27},{7,9,4},{5,9,37},{25,0,52},{5,9,37},{7,11,50},{7,11,50},{7,11,50},{7,9,50},{7,10,11},{7,9,5},{7,9,5},{7,8,6},{6,9,11},{7,8,9},{8,9,4},
{8,9,4},{8,9,4},{8,8,8},{12,0,8},{7,9,4},{7,9,4},{7,8,5},{24,0,8},{7,8,5},{13,0,18},{8,9,9},{8,9,0},{7,9,0},{13,0,18},{26,0,18},{7,9,0},{0,9,36},{26,0,18},{0,9,36},{7,0,50},{7,0,50},{7,0,50},{7,0,50},{7,10,2},{7,10,2},{7,10,2},{7,8,2},{6,9,2},{6,9,2},{8,13,54},{8,11,40},{8,10,61},
{8,10,36},{8,12,51},{8,10,37},{8,10,1},{8,10,52},{6,11,68},{7,10,38},{9,11,22},{9,10,13},{9,10,4},{9,10,13},{12,4,51},{9,10,34},{8,10,1},{6,10,37},{28,0,51},{6,10,37},{8,12,37},{8,12,37},{8,12,37},{8,10,36},{8,11,8},{8,10,1},{8,10,1},{8,9,5},{7,10,11},{8,9,9},{9,10,4},{9,10,4},{9,10,4},{9,9,8},{13,1,8},
{8,10,1},{8,10,1},{8,9,5},{27,0,8},{8,9,5},{14,1,18},{8,11,4},{9,10,0},{8,10,0},{14,1,18},{29,0,18},{8,10,0},{0,10,36},{29,0,18},{0,10,36},{8,0,36},{8,0,36},{8,0,36},{8,0,36},{8,10,1},{8,10,1},{8,10,1},{8,9,1},{7,10,2},{7,10,2},{9,14,54},{9,12,40},{9,11,61},{9,11,36},{9,13,51},{9,11,37},{9,11,1},
{9,11,52},{7,12,60},{8,11,40},{10,12,22},{10,11,13},{10,11,4},{10,11,13},{13,5,51},{8,12,29},{9,11,1},{7,11,37},{31,0,51},{7,11,37},{9,13,37},{9,13,37},{9,13,37},{9,11,36},{9,12,8},{9,11,1},{9,11,1},{9,10,5},{8,11,8},{9,10,9},{10,11,4},{10,11,4},{10,11,4},{10,10,8},{15,0,8},{9,11,1},{9,11,1},{9,10,5},{30,0,8},
{9,10,5},{15,2,18},{9,12,4},{10,11,0},{9,11,0},{15,2,18},{30,1,18},{9,11,0},{0,11,36},{30,1,18},{0,11,36},{9,0,36},{9,0,36},{9,0,36},{9,0,36},{9,11,1},{9,11,1},{9,11,1},{9,10,1},{8,11,4},{8,11,4},{10,15,54},{10,13,40},{10,12,62},{10,12,38},{10,14,51},{10,12,27},{10,12,3},{10,11,69},{8,13,60},{9,12,54},{11,13,22},
{11,12,9},{11,12,6},{11,12,21},{17,0,51},{10,12,27},{10,12,3},{8,12,50},{30,2,51},{8,12,50},{10,14,37},{10,14,37},{10,14,37},{10,12,37},{10,13,8},{10,12,2},{10,12,2},{10,11,5},{9,12,8},{10,11,9},{11,12,5},{11,12,5},{11,12,5},{11,11,8},{16,1,8},{10,12,2},{10,12,2},{10,11,5},{31,1,8},{10,11,5},{15,5,18},{10,13,4},{11,12,2},
{10,12,2},{15,5,18},{31,2,18},{10,12,2},{0,12,50},{31,2,18},{0,12,50},{10,0,36},{10,0,36},{10,0,36},{10,0,36},{10,12,1},{10,12,1},{10,12,1},{10,11,1},{9,12,4},{9,12,4},{11,16,68},{11,14,60},{12,13,68},{11,13,50},{11,15,53},{11,14,28},{11,13,5},{11,13,53},{11,13,68},{10,13,38},{12,14,22},{12,13,13},{12,13,4},{12,13,13},{18,1,52},
{11,14,27},{11,13,4},{9,13,37},{31,3,52},{9,13,37},{11,15,50},{11,15,50},{11,15,50},{11,13,50},{11,14,11},{11,13,5},{11,13,5},{11,12,6},{10,13,11},{11,12,9},{12,13,4},{12,13,4},{12,13,4},{12,12,8},{16,4,8},{11,13,4},{11,13,4},{11,12,5},{28,4,8},{11,12,5},{19,0,18},{12,13,9},{12,13,0},{11,13,0},{19,0,18},{30,4,18},{11,13,0},
{0,13,36},{30,4,18},{0,13,36},{11,0,50},{11,0,50},{11,0,50},{11,0,50},{11,14,2},{11,14,2},{11,14,2},{11,12,2},{10,13,2},{10,13,2},{12,17,54},{12,15,40},{12,14,61},{12,14,36},{12,16,51},{12,14,37},{12,14,1},{12,14,52},{10,15,68},{11,14,38},{13,15,22},{13,14,13},{13,14,4},{13,14,13},{20,0,51},{13,14,34},{12,14,1},{10,14,37},{24,8,51},
{10,14,37},{12,16,37},{12,16,37},{12,16,37},{12,14,36},{12,15,8},{12,14,1},{12,14,1},{12,13,5},{11,14,11},{12,13,9},{13,14,4},{13,14,4},{13,14,4},{13,13,8},{17,5,8},{12,14,1},{12,14,1},{12,13,5},{31,4,8},{12,13,5},{20,1,18},{12,15,4},{13,14,0},{12,14,0},{20,1,18},{31,5,18},{12,14,0},{0,14,36},{31,5,18},{0,14,36},{12,0,36},
{12,0,36},{12,0,36},{12,0,36},{12,14,1},{12,14,1},{12,14,1},{12,13,1},{11,14,2},{11,14,2},{13,18,54},{13,16,40},{13,15,61},{13,15,36},{13,17,51},{13,15,37},{13,15,1},{13,15,52},{11,16,60},{12,15,40},{14,16,22},{14,15,13},{14,15,4},{14,15,13},{21,1,51},{12,16,29},{13,15,1},{11,15,37},{27,8,51},{11,15,37},{13,17,37},{13,17,37},{13,17,37},
{13,15,36},{13,16,8},{13,15,1},{13,15,1},{13,14,5},{12,15,8},{13,14,9},{14,15,4},{14,15,4},{14,15,4},{14,14,8},{21,0,8},{13,15,1},{13,15,1},{13,14,5},{30,6,8},{13,14,5},{22,0,18},{13,16,4},{14,15,0},{13,15,0},{22,0,18},{30,7,18},{13,15,0},{0,15,36},{30,7,18},{0,15,36},{13,0,36},{13,0,36},{13,0,36},{13,0,36},{13,15,1},
{13,15,1},{13,15,1},{13,14,1},{12,15,4},{12,15,4},{14,19,54},{14,17,40},{14,16,62},{14,16,38},{14,18,51},{14,16,27},{14,16,3},{14,15,69},{12,17,60},{13,16,54},{15,17,22},{15,16,9},{15,16,6},{15,16,21},{23,0,51},{14,16,27},{14,16,3},{12,16,50},{30,8,51},{12,16,50},{14,18,37},{14,18,37},{14,18,37},{14,16,37},{14,17,8},{14,16,2},{14,16,2},
{14,15,5},{13,16,8},{14,15,9},{15,16,5},{15,16,5},{15,16,5},{15,15,8},{22,1,8},{14,16,2},{14,16,2},{14,15,5},{31,7,8},{14,15,5},{23,1,18},{14,17,4},{15,16,2},{14,16,2},{23,1,18},{27,10,18},{14,16,2},{0,16,50},{27,10,18},{0,16,50},{14,0,36},{14,0,36},{14,0,36},{14,0,36},{14,16,1},{14,16,1},{14,16,1},{14,15,1},{13,16,4},
{13,16,4},{15,20,68},{15,18,60},{16,17,68},{15,17,50},{15,19,53},{15,18,28},{15,17,5},{15,17,53},{15,17,68},{14,17,38},{16,18,22},{16,17,13},{16,17,4},{16,17,13},{24,1,52},{15,18,27},{15,17,4},{13,17,37},{31,9,52},{13,17,37},{15,19,50},{15,19,50},{15,19,50},{15,17,50},{15,18,11},{15,17,5},{15,17,5},{15,16,6},{14,17,11},{15,16,9},{16,17,4},
{16,17,4},{16,17,4},{16,16,8},{24,0,8},{15,17,4},{15,17,4},{15,16,5},{24,12,8},{15,16,5},{25,0,18},{16,17,9},{16,17,0},{15,17,0},{25,0,18},{30,10,18},{15,17,0},{0,17,36},{30,10,18},{0,17,36},{15,0,50},{15,0,50},{15,0,50},{15,0,50},{15,18,2},{15,18,2},{15,18,2},{15,16,2},{14,17,2},{14,17,2},{16,21,54},{16,19,40},{16,18,61},
{16,18,36},{16,20,51},{16,18,37},{16,18,1},{16,18,52},{14,19,68},{15,18,38},{17,19,22},{17,18,13},{17,18,4},{17,18,13},{24,4,51},{17,18,34},{16,18,1},{14,18,37},{28,12,51},{14,18,37},{16,20,37},{16,20,37},{16,20,37},{16,18,36},{16,19,8},{16,18,1},{16,18,1},{16,17,5},{15,18,11},{16,17,9},{17,18,4},{17,18,4},{17,18,4},{17,17,8},{25,1,8},
{16,18,1},{16,18,1},{16,17,5},{27,12,8},{16,17,5},{26,1,18},{16,19,4},{17,18,0},{16,18,0},{26,1,18},{31,11,18},{16,18,0},{0,18,36},{31,11,18},{0,18,36},{16,0,36},{16,0,36},{16,0,36},{16,0,36},{16,18,1},{16,18,1},{16,18,1},{16,17,1},{15,18,2},{15,18,2},{17,22,54},{17,20,40},{17,19,61},{17,19,36},{17,21,51},{17,19,37},{17,19,1},
{17,19,52},{15,20,60},{16,19,40},{18,20,22},{18,19,13},{18,19,4},{18,19,13},{25,5,51},{16,20,29},{17,19,1},{15,19,37},{31,12,51},{15,19,37},{17,21,37},{17,21,37},{17,21,37},{17,19,36},{17,20,8},{17,19,1},{17,19,1},{17,18,5},{16,19,8},{17,18,9},{18,19,4},{18,19,4},{18,19,4},{18,18,8},{27,0,8},{17,19,1},{17,19,1},{17,18,5},{30,12,8},
{17,18,5},{27,2,18},{17,20,4},{18,19,0},{17,19,0},{27,2,18},{30,13,18},{17,19,0},{0,19,36},{30,13,18},{0,19,36},{17,0,36},{17,0,36},{17,0,36},{17,0,36},{17,19,1},{17,19,1},{17,19,1},{17,18,1},{16,19,4},{16,19,4},{18,23,54},{18,21,40},{18,20,62},{18,20,38},{18,22,51},{18,20,27},{18,20,3},{18,19,69},{16,21,60},{17,20,54},{19,21,22},
{19,20,9},{19,20,6},{19,20,21},{29,0,51},{18,20,27},{18,20,3},{16,20,50},{30,14,51},{16,20,50},{18,22,37},{18,22,37},{18,22,37},{18,20,37},{18,21,8},{18,20,2},{18,20,2},{18,19,5},{17,20,8},{18,19,9},{19,20,5},{19,20,5},{19,20,5},{19,19,8},{28,1,8},{18,20,2},{18,20,2},{18,19,5},{31,13,8},{18,19,5},{27,5,18},{18,21,4},{19,20,2},
{18,20,2},{27,5,18},{31,14,18},{18,20,2},{0,20,50},{31,14,18},{0,20,50},{18,0,36},{18,0,36},{18,0,36},{18,0,36},{18,20,1},{18,20,1},{18,20,1},{18,19,1},{17,20,4},{17,20,4},{19,24,68},{19,22,60},{20,21,68},{19,21,50},{19,23,53},{19,22,28},{19,21,5},{19,21,53},{19,21,68},{18,21,38},{20,22,22},{20,21,13},{20,21,4},{20,21,13},{30,1,52},
{19,22,27},{19,21,4},{17,21,37},{31,15,52},{17,21,37},{19,23,50},{19,23,50},{19,23,50},{19,21,50},{19,22,11},{19,21,5},{19,21,5},{19,20,6},{18,21,11},{19,20,9},{20,21,4},{20,21,4},{20,21,4},{20,20,8},{28,4,8},{19,21,4},{19,21,4},{19,20,5},{28,16,8},{19,20,5},{31,0,18},{20,21,9},{20,21,0},{19,21,0},{31,0,18},{30,16,18},{19,21,0},
{0,21,36},{30,16,18},{0,21,36},{19,0,50},{19,0,50},{19,0,50},{19,0,50},{19,22,2},{19,22,2},{19,22,2},{19,20,2},{18,21,2},{18,21,2},{20,25,54},{20,23,40},{20,22,61},{20,22,36},{20,24,51},{20,22,37},{20,22,1},{20,22,52},{18,23,68},{19,22,38},{21,23,22},{21,22,13},{21,22,4},{21,22,13},{28,8,51},{21,22,34},{20,22,1},{18,22,37},{24,20,51},
{18,22,37},{20,24,37},{20,24,37},{20,24,37},{20,22,36},{20,23,8},{20,22,1},{20,22,1},{20,21,5},{19,22,11},{20,21,9},{21,22,4},{21,22,4},{21,22,4},{21,21,8},{29,5,8},{20,22,1},{20,22,1},{20,21,5},{31,16,8},{20,21,5},{31,3,18},{20,23,4},{21,22,0},{20,22,0},{31,3,18},{31,17,18},{20,22,0},{0,22,36},{31,17,18},{0,22,36},{20,0,36},
{20,0,36},{20,0,36},{20,0,36},{20,22,1},{20,22,1},{20,22,1},{20,21,1},{19,22,2},{19,22,2},{21,26,54},{21,24,40},{21,23,61},{21,23,36},{21,25,51},{21,23,37},{21,23,1},{21,23,52},{19,24,60},{20,23,40},{22,24,22},{22,23,13},{22,23,4},{22,23,13},{29,9,51},{20,24,29},{21,23,1},{19,23,37},{27,20,51},{19,23,37},{21,25,37},{21,25,37},{21,25,37},
{21,23,36},{21,24,8},{21,23,1},{21,23,1},{21,22,5},{20,23,8},{21,22,9},{22,23,4},{22,23,4},{22,23,4},{22,22,8},{31,4,8},{21,23,1},{21,23,1},{21,22,5},{30,18,8},{21,22,5},{31,6,18},{21,24,4},{22,23,0},{21,23,0},{31,6,18},{30,19,18},{21,23,0},{0,23,36},{30,19,18},{0,23,36},{21,0,36},{21,0,36},{21,0,36},{21,0,36},{21,23,1},
{21,23,1},{21,23,1},{21,22,1},{20,23,4},{20,23,4},{22,27,54},{22,25,40},{22,24,62},{22,24,38},{22,26,51},{22,24,27},{22,24,3},{22,23,69},{20,25,60},{21,24,54},{23,25,22},{23,24,9},{23,24,6},{23,24,21},{31,8,51},{22,24,27},{22,24,3},{20,24,50},{30,20,51},{20,24,50},{22,26,37},{22,26,37},{22,26,37},{22,24,37},{22,25,8},{22,24,2},{22,24,2},
{22,23,5},{21,24,8},{22,23,9},{23,24,5},{23,24,5},{23,24,5},{23,23,8},{31,7,8},{22,24,2},{22,24,2},{22,23,5},{31,19,8},{22,23,5},{31,9,18},{22,25,4},{23,24,2},{22,24,2},{31,9,18},{27,22,18},{22,24,2},{0,24,50},{27,22,18},{0,24,50},{22,0,36},{22,0,36},{22,0,36},{22,0,36},{22,24,1},{22,24,1},{22,24,1},{22,23,1},{21,24,4},
{21,24,4},{23,28,68},{23,26,60},{24,25,68},{23,25,50},{23,27,53},{23,26,28},{23,25,5},{23,25,53},{23,25,68},{22,25,38},{24,26,22},{24,25,13},{24,25,4},{24,25,13},{31,11,52},{23,26,27},{23,25,4},{21,25,37},{31,21,52},{21,25,37},{23,27,50},{23,27,50},{23,27,50},{23,25,50},{23,26,11},{23,25,5},{23,25,5},{23,24,6},{22,25,11},{23,24,9},{24,25,4},
{24,25,4},{24,25,4},{24,24,8},{28,16,8},{23,25,4},{23,25,4},{23,24,5},{24,24,8},{23,24,5},{31,12,18},{24,25,9},{24,25,0},{23,25,0},{31,12,18},{30,22,18},{23,25,0},{0,25,36},{30,22,18},{0,25,36},{23,0,50},{23,0,50},{23,0,50},{23,0,50},{23,26,2},{23,26,2},{23,26,2},{23,24,2},{22,25,2},{22,25,2},{24,29,54},{24,27,40},{24,26,61},
{24,26,36},{24,28,51},{24,26,37},{24,26,1},{24,26,52},{22,27,68},{23,26,38},{25,27,22},{25,26,13},{25,26,4},{25,26,13},{28,20,51},{25,26,34},{24,26,1},{22,26,37},{28,24,51},{22,26,37},{24,28,37},{24,28,37},{24,28,37},{24,26,36},{24,27,8},{24,26,1},{24,26,1},{24,25,5},{23,26,11},{24,25,9},{25,26,4},{25,26,4},{25,26,4},{25,25,8},{29,17,8},
{24,26,1},{24,26,1},{24,25,5},{27,24,8},{24,25,5},{31,15,18},{24,27,4},{25,26,0},{24,26,0},{31,15,18},{31,23,18},{24,26,0},{0,26,36},{31,23,18},{0,26,36},{24,0,36},{24,0,36},{24,0,36},{24,0,36},{24,26,1},{24,26,1},{24,26,1},{24,25,1},{23,26,2},{23,26,2},{25,30,54},{25,28,40},{25,27,61},{25,27,36},{25,29,51},{25,27,37},{25,27,1},
{25,27,52},{23,28,60},{24,27,40},{26,28,22},{26,27,13},{26,27,4},{26,27,13},{29,21,51},{24,28,29},{25,27,1},{23,27,37},{31,24,51},{23,27,37},{25,29,37},{25,29,37},{25,29,37},{25,27,36},{25,28,8},{25,27,1},{25,27,1},{25,26,5},{24,27,8},{25,26,9},{26,27,4},{26,27,4},{26,27,4},{26,26,8},{31,16,8},{25,27,1},{25,27,1},{25,26,5},{30,24,8},
{25,26,5},{31,18,18},{25,28,4},{26,27,0},{25,27,0},{31,18,18},{30,25,18},{25,27,0},{0,27,36},{30,25,18},{0,27,36},{25,0,36},{25,0,36},{25,0,36},{25,0,36},{25,27,1},{25,27,1},{25,27,1},{25,26,1},{24,27,4},{24,27,4},{26,31,54},{26,29,40},{26,28,62},{26,28,38},{26,30,51},{26,28,27},{26,28,3},{26,27,69},{24,29,60},{25,28,54},{27,29,22},
{27,28,9},{27,28,6},{27,28,21},{31,20,51},{26,28,27},{26,28,3},{24,28,50},{30,26,51},{24,28,50},{26,30,37},{26,30,37},{26,30,37},{26,28,37},{26,29,8},{26,28,2},{26,28,2},{26,27,5},{25,28,8},{26,27,9},{27,28,5},{27,28,5},{27,28,5},{27,27,8},{31,19,8},{26,28,2},{26,28,2},{26,27,5},{31,25,8},{26,27,5},{31,21,18},{26,29,4},{27,28,2},
{26,28,2},{31,21,18},{31,26,18},{26,28,2},{0,28,50},{31,26,18},{0,28,50},{26,0,36},{26,0,36},{26,0,36},{26,0,36},{26,28,1},{26,28,1},{26,28,1},{26,27,1},{25,28,4},{25,28,4},{28,30,86},{27,30,60},{28,29,68},{27,29,50},{27,31,53},{27,30,28},{27,29,5},{27,29,53},{27,29,68},{26,29,38},{28,30,22},{28,29,13},{28,29,4},{28,29,13},{31,23,52},
{27,30,27},{27,29,4},{25,29,37},{31,27,52},{25,29,37},{27,31,50},{27,31,50},{27,31,50},{27,29,50},{27,30,11},{27,29,5},{27,29,5},{27,28,6},{26,29,11},{27,28,9},{28,29,4},{28,29,4},{28,29,4},{28,28,8},{28,28,8},{27,29,4},{27,29,4},{27,28,5},{28,28,8},{27,28,5},{31,24,18},{28,29,9},{28,29,0},{27,29,0},{31,24,18},{30,28,18},{27,29,0},
{0,29,36},{30,28,18},{0,29,36},{27,0,50},{27,0,50},{27,0,50},{27,0,50},{27,30,2},{27,30,2},{27,30,2},{27,28,2},{26,29,2},{26,29,2},{29,31,86},{28,31,40},{28,30,61},{28,30,36},{28,31,72},{28,30,37},{28,30,1},{28,30,52},{26,31,68},{27,30,38},{29,31,22},{29,30,13},{29,30,4},{29,30,13},{31,26,52},{29,30,34},{28,30,1},{26,30,37},{30,29,52},
{26,30,37},{28,31,40},{28,31,40},{28,31,40},{28,30,36},{28,31,8},{28,30,1},{28,30,1},{28,29,5},{27,30,11},{28,29,9},{29,30,4},{29,30,4},{29,30,4},{29,29,8},{29,29,8},{28,30,1},{28,30,1},{28,29,5},{31,28,8},{28,29,5},{31,27,18},{28,31,4},{29,30,0},{28,30,0},{31,27,18},{31,29,18},{28,30,0},{0,30,36},{31,29,18},{0,30,36},{28,0,36},
{28,0,36},{28,0,36},{28,0,36},{28,30,1},{28,30,1},{28,30,1},{28,29,1},{27,30,2},{27,30,2},{30,31,104},{30,31,77},{29,31,61},{29,31,36},{30,31,116},{29,31,37},{29,31,1},{29,31,52},{28,31,72},{28,31,40},{30,31,40},{30,31,13},{30,31,4},{30,31,13},{31,29,52},{30,31,34},{29,31,1},{27,31,37},{31,30,52},{27,31,37},{29,31,61},{29,31,61},{29,31,61},
{29,31,36},{29,31,26},{29,31,1},{29,31,1},{29,30,5},{28,31,8},{29,30,9},{30,31,4},{30,31,4},{30,31,4},{30,30,8},{31,28,8},{29,31,1},{29,31,1},{29,30,5},{30,30,8},{29,30,5},{31,30,18},{30,31,9},{30,31,0},{29,31,0},{31,30,18},{30,31,18},{29,31,0},{0,31,36},{30,31,18},{0,31,36},{29,0,36},{29,0,36},{29,0,36},{29,0,36},{29,31,1},
{29,31,1},{29,31,1},{29,30,1},{28,31,4},{28,31,4},{31,31,68},{31,31,68},{31,31,68},{30,31,45},{31,31,68},{30,31,34},{30,31,25},{30,31,1},{30,31,23},{30,31,5},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{30,31,1},{31,31,68},{31,31,68},{31,31,68},{30,31,45},{30,31,52},{30,31,25},{30,31,25},
{30,31,1},{30,31,14},{30,31,5},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{30,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{30,0,36},{30,0,36},{30,0,36},{30,0,36},{30,31,16},{30,31,16},{30,31,16},{30,31,1},{30,31,5},
{30,31,5},{0,4,72},{0,3,10},{0,2,1},{0,2,26},{0,3,154},{0,2,99},{0,2,51},{0,1,115},{0,1,173},{0,1,119},{0,4,72},{0,3,10},{0,2,1},{0,2,26},{1,1,154},{0,2,99},{0,2,51},{0,1,115},{3,0,154},{0,1,115},{0,2,0},{0,2,0},{0,2,0},{0,1,0},{0,1,13},{0,1,4},{0,1,4},{0,0,25},{0,0,25},{0,0,25},{0,2,0},
{0,2,0},{0,2,0},{0,1,0},{0,1,13},{0,1,4},{0,1,4},{0,0,25},{1,0,13},{0,0,25},{0,4,72},{0,3,10},{0,2,1},{0,2,26},{0,4,72},{4,0,72},{0,2,26},{0,1,90},{4,0,72},{0,1,90},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,7,81},{0,5,13},{0,3,35},
{0,3,19},{0,5,244},{0,3,115},{0,3,35},{0,2,139},{0,2,308},{0,2,164},{0,7,81},{0,5,13},{1,3,26},{0,3,19},{2,1,244},{0,3,115},{0,3,35},{0,2,139},{5,0,244},{0,2,139},{0,5,9},{0,5,9},{0,5,9},{0,2,18},{0,3,50},{0,2,13},{0,2,13},{0,1,29},{0,1,72},{0,1,33},{0,5,9},{0,5,9},{0,5,9},{0,2,18},{1,1,50},
{0,2,13},{0,2,13},{0,1,29},{3,0,50},{0,1,29},{1,5,72},{0,5,4},{1,3,1},{0,3,10},{1,5,72},{7,0,72},{0,3,10},{0,2,90},{7,0,72},{0,2,90},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,1},{0,1,1},{0,1,1},{0,1,4},{0,1,8},{0,1,8},{1,8,145},{1,6,77},{1,4,98},{1,4,82},{0,8,243},{0,5,76},{0,4,1},
{0,3,115},{0,4,364},{0,3,179},{1,8,81},{1,6,13},{2,4,25},{1,4,18},{4,0,243},{0,5,76},{0,4,1},{0,3,115},{8,0,243},{0,3,115},{1,6,73},{1,6,73},{1,6,73},{1,3,82},{0,6,50},{0,4,1},{0,4,1},{0,2,26},{0,3,114},{0,2,51},{1,6,9},{1,6,9},{1,6,9},{1,3,18},{3,0,50},{0,4,1},{0,4,1},{0,2,26},{6,0,50},
{0,2,26},{5,0,72},{1,6,4},{2,4,0},{0,4,1},{5,0,72},{10,0,72},{0,4,1},{0,3,90},{10,0,72},{0,3,90},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,4,0},{0,4,0},{0,4,0},{0,2,1},{0,2,26},{0,2,26},{2,9,162},{2,7,94},{2,5,115},{2,5,99},{1,9,244},{1,6,77},{1,5,2},{1,4,106},{0,5,300},{0,4,105},{2,9,81},
{2,7,13},{3,5,25},{2,5,18},{5,1,243},{1,6,76},{1,5,1},{0,4,89},{11,0,243},{0,4,89},{2,7,90},{2,7,90},{2,7,90},{2,4,94},{1,7,51},{1,5,2},{1,5,2},{1,3,27},{0,4,74},{0,3,35},{2,7,9},{2,7,9},{2,7,9},{2,4,13},{4,1,50},{1,5,1},{1,5,1},{0,4,25},{9,0,50},{0,4,25},{6,1,72},{2,7,4},{3,5,0},
{1,5,1},{6,1,72},{13,0,72},{1,5,1},{0,4,80},{13,0,72},{0,4,80},{2,0,90},{2,0,90},{2,0,90},{2,0,90},{1,5,1},{1,5,1},{1,5,1},{1,3,2},{0,3,10},{0,3,10},{3,10,154},{3,8,84},{3,6,117},{3,6,85},{2,10,244},{2,7,75},{2,6,2},{2,5,106},{0,7,253},{0,5,100},{3,10,90},{3,8,20},{4,6,26},{3,6,21},{7,0,244},
{2,7,75},{2,6,2},{0,5,91},{14,0,244},{0,5,91},{3,8,80},{3,8,80},{3,8,80},{3,6,84},{2,8,52},{2,6,1},{2,6,1},{2,5,25},{0,6,52},{0,5,19},{3,8,16},{3,8,16},{3,8,16},{3,6,20},{4,4,50},{2,6,1},{2,6,1},{0,5,10},{12,0,50},{0,5,10},{8,0,72},{3,8,4},{4,6,1},{2,6,1},{8,0,72},{16,0,72},{2,6,1},
{0,5,90},{16,0,72},{0,5,90},{3,0,80},{3,0,80},{3,0,80},{3,0,80},{2,6,1},{2,6,1},{2,6,1},{2,4,1},{0,5,10},{0,5,10},{4,11,162},{4,9,94},{4,7,116},{4,7,100},{3,11,244},{3,8,76},{3,7,2},{3,6,106},{1,8,253},{1,6,100},{4,11,81},{4,9,13},{5,7,26},{4,7,19},{8,1,244},{3,8,76},{3,7,2},{1,6,91},{17,0,244},
{1,6,91},{4,9,90},{4,9,90},{4,9,90},{4,6,99},{3,9,52},{3,7,1},{3,7,1},{3,6,25},{1,7,52},{1,6,19},{4,9,9},{4,9,9},{4,9,9},{4,6,18},{5,5,50},{3,7,1},{3,7,1},{1,6,10},{15,0,50},{1,6,10},{9,1,72},{4,9,4},{5,7,1},{3,7,1},{9,1,72},{19,0,72},{3,7,1},{0,6,90},{19,0,72},{0,6,90},{4,0,90},
{4,0,90},{4,0,90},{4,0,90},{3,7,1},{3,7,1},{3,7,1},{3,5,1},{1,6,10},{1,6,10},{5,12,162},{5,10,94},{5,8,115},{5,8,99},{4,12,244},{4,9,77},{4,8,2},{4,7,116},{2,9,253},{2,7,100},{5,12,81},{5,10,13},{6,8,25},{5,8,18},{8,4,243},{4,9,76},{4,8,1},{2,7,91},{20,0,243},{2,7,91},{5,10,90},{5,10,90},{5,10,90},
{5,7,99},{4,10,51},{4,8,2},{4,8,2},{4,6,27},{2,8,50},{2,7,19},{5,10,9},{5,10,9},{5,10,9},{5,7,18},{9,0,50},{4,8,1},{4,8,1},{2,7,10},{18,0,50},{2,7,10},{11,0,72},{5,10,4},{6,8,0},{4,8,1},{11,0,72},{22,0,72},{4,8,1},{0,7,90},{22,0,72},{0,7,90},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{4,8,1},
{4,8,1},{4,8,1},{4,6,2},{2,7,10},{2,7,10},{6,13,162},{6,11,94},{6,9,115},{6,9,99},{5,13,244},{5,10,77},{5,9,2},{5,8,106},{3,10,253},{3,8,84},{6,13,81},{6,11,13},{7,9,25},{6,9,18},{9,5,243},{5,10,76},{5,9,1},{3,8,80},{23,0,243},{3,8,80},{6,11,90},{6,11,90},{6,11,90},{6,8,94},{5,11,51},{5,9,2},{5,9,2},
{5,7,27},{3,9,50},{3,8,20},{6,11,9},{6,11,9},{6,11,9},{6,8,13},{10,1,50},{5,9,1},{5,9,1},{3,8,16},{21,0,50},{3,8,16},{12,1,72},{6,11,4},{7,9,0},{5,9,1},{12,1,72},{25,0,72},{5,9,1},{0,8,80},{25,0,72},{0,8,80},{6,0,90},{6,0,90},{6,0,90},{6,0,90},{5,9,1},{5,9,1},{5,9,1},{5,7,2},{3,8,4},
{3,8,4},{7,14,154},{7,12,84},{7,10,117},{7,10,85},{6,14,244},{6,11,75},{6,10,2},{6,9,106},{4,11,253},{4,9,100},{7,14,90},{7,12,20},{8,10,26},{7,10,21},{13,0,244},{6,11,75},{6,10,2},{4,9,91},{26,0,244},{4,9,91},{7,12,80},{7,12,80},{7,12,80},{7,10,84},{6,12,52},{6,10,1},{6,10,1},{6,9,25},{4,10,52},{4,9,19},{7,12,16},
{7,12,16},{7,12,16},{7,10,20},{12,0,50},{6,10,1},{6,10,1},{4,9,10},{24,0,50},{4,9,10},{12,4,72},{7,12,4},{8,10,1},{6,10,1},{12,4,72},{28,0,72},{6,10,1},{0,9,90},{28,0,72},{0,9,90},{7,0,80},{7,0,80},{7,0,80},{7,0,80},{6,10,1},{6,10,1},{6,10,1},{6,8,1},{4,9,10},{4,9,10},{8,15,162},{8,13,94},{8,11,116},
{8,11,100},{7,15,244},{7,12,76},{7,11,2},{7,10,106},{5,12,253},{5,10,100},{8,15,81},{8,13,13},{9,11,26},{8,11,19},{14,1,244},{7,12,76},{7,11,2},{5,10,91},{29,0,244},{5,10,91},{8,13,90},{8,13,90},{8,13,90},{8,10,99},{7,13,52},{7,11,1},{7,11,1},{7,10,25},{5,11,52},{5,10,19},{8,13,9},{8,13,9},{8,13,9},{8,10,18},{13,1,50},
{7,11,1},{7,11,1},{5,10,10},{27,0,50},{5,10,10},{13,5,72},{8,13,4},{9,11,1},{7,11,1},{13,5,72},{31,0,72},{7,11,1},{0,10,90},{31,0,72},{0,10,90},{8,0,90},{8,0,90},{8,0,90},{8,0,90},{7,11,1},{7,11,1},{7,11,1},{7,9,1},{5,10,10},{5,10,10},{9,16,162},{9,14,94},{9,12,115},{9,12,99},{8,16,244},{8,13,77},{8,12,2},
{8,11,116},{6,13,253},{6,11,100},{9,16,81},{9,14,13},{10,12,25},{9,12,18},{16,0,243},{8,13,76},{8,12,1},{6,11,91},{24,4,243},{6,11,91},{9,14,90},{9,14,90},{9,14,90},{9,11,99},{8,14,51},{8,12,2},{8,12,2},{8,10,27},{6,12,50},{6,11,19},{9,14,9},{9,14,9},{9,14,9},{9,11,18},{15,0,50},{8,12,1},{8,12,1},{6,11,10},{30,0,50},
{6,11,10},{17,0,72},{9,14,4},{10,12,0},{8,12,1},{17,0,72},{30,2,72},{8,12,1},{0,11,90},{30,2,72},{0,11,90},{9,0,90},{9,0,90},{9,0,90},{9,0,90},{8,12,1},{8,12,1},{8,12,1},{8,10,2},{6,11,10},{6,11,10},{10,17,162},{10,15,94},{10,13,115},{10,13,99},{9,17,244},{9,14,77},{9,13,2},{9,12,106},{7,14,253},{7,12,84},{10,17,81},
{10,15,13},{11,13,25},{10,13,18},{17,1,243},{9,14,76},{9,13,1},{7,12,80},{27,4,243},{7,12,80},{10,15,90},{10,15,90},{10,15,90},{10,12,94},{9,15,51},{9,13,2},{9,13,2},{9,11,27},{7,13,50},{7,12,20},{10,15,9},{10,15,9},{10,15,9},{10,12,13},{16,1,50},{9,13,1},{9,13,1},{7,12,16},{31,1,50},{7,12,16},{18,1,72},{10,15,4},{11,13,0},
{9,13,1},{18,1,72},{31,3,72},{9,13,1},{0,12,80},{31,3,72},{0,12,80},{10,0,90},{10,0,90},{10,0,90},{10,0,90},{9,13,1},{9,13,1},{9,13,1},{9,11,2},{7,12,4},{7,12,4},{11,18,154},{11,16,84},{11,14,117},{11,14,85},{10,18,244},{10,15,75},{10,14,2},{10,13,106},{8,15,253},{8,13,100},{11,18,90},{11,16,20},{12,14,26},{11,14,21},{19,0,244},
{10,15,75},{10,14,2},{8,13,91},{30,4,244},{8,13,91},{11,16,80},{11,16,80},{11,16,80},{11,14,84},{10,16,52},{10,14,1},{10,14,1},{10,13,25},{8,14,52},{8,13,19},{11,16,16},{11,16,16},{11,16,16},{11,14,20},{16,4,50},{10,14,1},{10,14,1},{8,13,10},{28,4,50},{8,13,10},{20,0,72},{11,16,4},{12,14,1},{10,14,1},{20,0,72},{24,8,72},{10,14,1},
{0,13,90},{24,8,72},{0,13,90},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{10,14,1},{10,14,1},{10,14,1},{10,12,1},{8,13,10},{8,13,10},{12,19,162},{12,17,94},{12,15,116},{12,15,100},{11,19,244},{11,16,76},{11,15,2},{11,14,106},{9,16,253},{9,14,100},{12,19,81},{12,17,13},{13,15,26},{12,15,19},{20,1,244},{11,16,76},{11,15,2},{9,14,91},{31,5,244},
{9,14,91},{12,17,90},{12,17,90},{12,17,90},{12,14,99},{11,17,52},{11,15,1},{11,15,1},{11,14,25},{9,15,52},{9,14,19},{12,17,9},{12,17,9},{12,17,9},{12,14,18},{17,5,50},{11,15,1},{11,15,1},{9,14,10},{31,4,50},{9,14,10},{21,1,72},{12,17,4},{13,15,1},{11,15,1},{21,1,72},{27,8,72},{11,15,1},{0,14,90},{27,8,72},{0,14,90},{12,0,90},
{12,0,90},{12,0,90},{12,0,90},{11,15,1},{11,15,1},{11,15,1},{11,13,1},{9,14,10},{9,14,10},{13,20,162},{13,18,94},{13,16,115},{13,16,99},{12,20,244},{12,17,77},{12,16,2},{12,15,116},{10,17,253},{10,15,100},{13,20,81},{13,18,13},{14,16,25},{13,16,18},{20,4,243},{12,17,76},{12,16,1},{10,15,91},{28,8,243},{10,15,91},{13,18,90},{13,18,90},{13,18,90},
{13,15,99},{12,18,51},{12,16,2},{12,16,2},{12,14,27},{10,16,50},{10,15,19},{13,18,9},{13,18,9},{13,18,9},{13,15,18},{21,0,50},{12,16,1},{12,16,1},{10,15,10},{30,6,50},{10,15,10},{23,0,72},{13,18,4},{14,16,0},{12,16,1},{23,0,72},{30,8,72},{12,16,1},{0,15,90},{30,8,72},{0,15,90},{13,0,90},{13,0,90},{13,0,90},{13,0,90},{12,16,1},
{12,16,1},{12,16,1},{12,14,2},{10,15,10},{10,15,10},{14,21,162},{14,19,94},{14,17,115},{14,17,99},{13,21,244},{13,18,77},{13,17,2},{13,16,106},{11,18,253},{11,16,84},{14,21,81},{14,19,13},{15,17,25},{14,17,18},{21,5,243},{13,18,76},{13,17,1},{11,16,80},{31,8,243},{11,16,80},{14,19,90},{14,19,90},{14,19,90},{14,16,94},{13,19,51},{13,17,2},{13,17,2},
{13,15,27},{11,17,50},{11,16,20},{14,19,9},{14,19,9},{14,19,9},{14,16,13},{22,1,50},{13,17,1},{13,17,1},{11,16,16},{31,7,50},{11,16,16},{24,1,72},{14,19,4},{15,17,0},{13,17,1},{24,1,72},{31,9,72},{13,17,1},{0,16,80},{31,9,72},{0,16,80},{14,0,90},{14,0,90},{14,0,90},{14,0,90},{13,17,1},{13,17,1},{13,17,1},{13,15,2},{11,16,4},
{11,16,4},{15,22,154},{15,20,84},{15,18,117},{15,18,85},{14,22,244},{14,19,75},{14,18,2},{14,17,106},{12,19,253},{12,17,100},{15,22,90},{15,20,20},{16,18,26},{15,18,21},{25,0,244},{14,19,75},{14,18,2},{12,17,91},{30,10,244},{12,17,91},{15,20,80},{15,20,80},{15,20,80},{15,18,84},{14,20,52},{14,18,1},{14,18,1},{14,17,25},{12,18,52},{12,17,19},{15,20,16},
{15,20,16},{15,20,16},{15,18,20},{24,0,50},{14,18,1},{14,18,1},{12,17,10},{24,12,50},{12,17,10},{24,4,72},{15,20,4},{16,18,1},{14,18,1},{24,4,72},{28,12,72},{14,18,1},{0,17,90},{28,12,72},{0,17,90},{15,0,80},{15,0,80},{15,0,80},{15,0,80},{14,18,1},{14,18,1},{14,18,1},{14,16,1},{12,17,10},{12,17,10},{16,23,162},{16,21,94},{16,19,116},
{16,19,100},{15,23,244},{15,20,76},{15,19,2},{15,18,106},{13,20,253},{13,18,100},{16,23,81},{16,21,13},{17,19,26},{16,19,19},{26,1,244},{15,20,76},{15,19,2},{13,18,91},{31,11,244},{13,18,91},{16,21,90},{16,21,90},{16,21,90},{16,18,99},{15,21,52},{15,19,1},{15,19,1},{15,18,25},{13,19,52},{13,18,19},{16,21,9},{16,21,9},{16,21,9},{16,18,18},{25,1,50},
{15,19,1},{15,19,1},{13,18,10},{27,12,50},{13,18,10},{25,5,72},{16,21,4},{17,19,1},{15,19,1},{25,5,72},{31,12,72},{15,19,1},{0,18,90},{31,12,72},{0,18,90},{16,0,90},{16,0,90},{16,0,90},{16,0,90},{15,19,1},{15,19,1},{15,19,1},{15,17,1},{13,18,10},{13,18,10},{17,24,162},{17,22,94},{17,20,115},{17,20,99},{16,24,244},{16,21,77},{16,20,2},
{16,19,116},{14,21,253},{14,19,100},{17,24,81},{17,22,13},{18,20,25},{17,20,18},{28,0,243},{16,21,76},{16,20,1},{14,19,91},{24,16,243},{14,19,91},{17,22,90},{17,22,90},{17,22,90},{17,19,99},{16,22,51},{16,20,2},{16,20,2},{16,18,27},{14,20,50},{14,19,19},{17,22,9},{17,22,9},{17,22,9},{17,19,18},{27,0,50},{16,20,1},{16,20,1},{14,19,10},{30,12,50},
{14,19,10},{29,0,72},{17,22,4},{18,20,0},{16,20,1},{29,0,72},{30,14,72},{16,20,1},{0,19,90},{30,14,72},{0,19,90},{17,0,90},{17,0,90},{17,0,90},{17,0,90},{16,20,1},{16,20,1},{16,20,1},{16,18,2},{14,19,10},{14,19,10},{18,25,162},{18,23,94},{18,21,115},{18,21,99},{17,25,244},{17,22,77},{17,21,2},{17,20,106},{15,22,253},{15,20,84},{18,25,81},
{18,23,13},{19,21,25},{18,21,18},{29,1,243},{17,22,76},{17,21,1},{15,20,80},{27,16,243},{15,20,80},{18,23,90},{18,23,90},{18,23,90},{18,20,94},{17,23,51},{17,21,2},{17,21,2},{17,19,27},{15,21,50},{15,20,20},{18,23,9},{18,23,9},{18,23,9},{18,20,13},{28,1,50},{17,21,1},{17,21,1},{15,20,16},{31,13,50},{15,20,16},{30,1,72},{18,23,4},{19,21,0},
{17,21,1},{30,1,72},{31,15,72},{17,21,1},{0,20,80},{31,15,72},{0,20,80},{18,0,90},{18,0,90},{18,0,90},{18,0,90},{17,21,1},{17,21,1},{17,21,1},{17,19,2},{15,20,4},{15,20,4},{19,26,154},{19,24,84},{19,22,117},{19,22,85},{18,26,244},{18,23,75},{18,22,2},{18,21,106},{16,23,253},{16,21,100},{19,26,90},{19,24,20},{20,22,26},{19,22,21},{31,0,244},
{18,23,75},{18,22,2},{16,21,91},{30,16,244},{16,21,91},{19,24,80},{19,24,80},{19,24,80},{19,22,84},{18,24,52},{18,22,1},{18,22,1},{18,21,25},{16,22,52},{16,21,19},{19,24,16},{19,24,16},{19,24,16},{19,22,20},{28,4,50},{18,22,1},{18,22,1},{16,21,10},{28,16,50},{16,21,10},{28,8,72},{19,24,4},{20,22,1},{18,22,1},{28,8,72},{24,20,72},{18,22,1},
{0,21,90},{24,20,72},{0,21,90},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{18,22,1},{18,22,1},{18,22,1},{18,20,1},{16,21,10},{16,21,10},{20,27,162},{20,25,94},{20,23,116},{20,23,100},{19,27,244},{19,24,76},{19,23,2},{19,22,106},{17,24,253},{17,22,100},{20,27,81},{20,25,13},{21,23,26},{20,23,19},{31,3,244},{19,24,76},{19,23,2},{17,22,91},{31,17,244},
{17,22,91},{20,25,90},{20,25,90},{20,25,90},{20,22,99},{19,25,52},{19,23,1},{19,23,1},{19,22,25},{17,23,52},{17,22,19},{20,25,9},{20,25,9},{20,25,9},{20,22,18},{29,5,50},{19,23,1},{19,23,1},{17,22,10},{31,16,50},{17,22,10},{29,9,72},{20,25,4},{21,23,1},{19,23,1},{29,9,72},{27,20,72},{19,23,1},{0,22,90},{27,20,72},{0,22,90},{20,0,90},
{20,0,90},{20,0,90},{20,0,90},{19,23,1},{19,23,1},{19,23,1},{19,21,1},{17,22,10},{17,22,10},{21,28,162},{21,26,94},{21,24,115},{21,24,99},{20,28,244},{20,25,77},{20,24,2},{20,23,116},{18,25,253},{18,23,100},{21,28,81},{21,26,13},{22,24,25},{21,24,18},{28,12,243},{20,25,76},{20,24,1},{18,23,91},{28,20,243},{18,23,91},{21,26,90},{21,26,90},{21,26,90},
{21,23,99},{20,26,51},{20,24,2},{20,24,2},{20,22,27},{18,24,50},{18,23,19},{21,26,9},{21,26,9},{21,26,9},{21,23,18},{31,4,50},{20,24,1},{20,24,1},{18,23,10},{30,18,50},{18,23,10},{31,8,72},{21,26,4},{22,24,0},{20,24,1},{31,8,72},{30,20,72},{20,24,1},{0,23,90},{30,20,72},{0,23,90},{21,0,90},{21,0,90},{21,0,90},{21,0,90},{20,24,1},
{20,24,1},{20,24,1},{20,22,2},{18,23,10},{18,23,10},{22,29,162},{22,27,94},{22,25,115},{22,25,99},{21,29,244},{21,26,77},{21,25,2},{21,24,106},{19,26,253},{19,24,84},{22,29,81},{22,27,13},{23,25,25},{22,25,18},{29,13,243},{21,26,76},{21,25,1},{19,24,80},{31,20,243},{19,24,80},{22,27,90},{22,27,90},{22,27,90},{22,24,94},{21,27,51},{21,25,2},{21,25,2},
{21,23,27},{19,25,50},{19,24,20},{22,27,9},{22,27,9},{22,27,9},{22,24,13},{31,7,50},{21,25,1},{21,25,1},{19,24,16},{31,19,50},{19,24,16},{31,11,72},{22,27,4},{23,25,0},{21,25,1},{31,11,72},{31,21,72},{21,25,1},{0,24,80},{31,21,72},{0,24,80},{22,0,90},{22,0,90},{22,0,90},{22,0,90},{21,25,1},{21,25,1},{21,25,1},{21,23,2},{19,24,4},
{19,24,4},{23,30,154},{23,28,84},{23,26,117},{23,26,85},{22,30,244},{22,27,75},{22,26,2},{22,25,106},{20,27,253},{20,25,100},{23,30,90},{23,28,20},{24,26,26},{23,26,21},{31,12,244},{22,27,75},{22,26,2},{20,25,91},{30,22,244},{20,25,91},{23,28,80},{23,28,80},{23,28,80},{23,26,84},{22,28,52},{22,26,1},{22,26,1},{22,25,25},{20,26,52},{20,25,19},{23,28,16},
{23,28,16},{23,28,16},{23,26,20},{28,16,50},{22,26,1},{22,26,1},{20,25,10},{24,24,50},{20,25,10},{28,20,72},{23,28,4},{24,26,1},{22,26,1},{28,20,72},{28,24,72},{22,26,1},{0,25,90},{28,24,72},{0,25,90},{23,0,80},{23,0,80},{23,0,80},{23,0,80},{22,26,1},{22,26,1},{22,26,1},{22,24,1},{20,25,10},{20,25,10},{24,31,162},{24,29,94},{24,27,116},
{24,27,100},{23,31,244},{23,28,76},{23,27,2},{23,26,106},{21,28,253},{21,26,100},{24,31,81},{24,29,13},{25,27,26},{24,27,19},{31,15,244},{23,28,76},{23,27,2},{21,26,91},{31,23,244},{21,26,91},{24,29,90},{24,29,90},{24,29,90},{24,26,99},{23,29,52},{23,27,1},{23,27,1},{23,26,25},{21,27,52},{21,26,19},{24,29,9},{24,29,9},{24,29,9},{24,26,18},{29,17,50},
{23,27,1},{23,27,1},{21,26,10},{27,24,50},{21,26,10},{29,21,72},{24,29,4},{25,27,1},{23,27,1},{29,21,72},{31,24,72},{23,27,1},{0,26,90},{31,24,72},{0,26,90},{24,0,90},{24,0,90},{24,0,90},{24,0,90},{23,27,1},{23,27,1},{23,27,1},{23,25,1},{21,26,10},{21,26,10},{25,31,180},{25,30,94},{25,28,115},{25,28,99},{24,31,265},{24,29,77},{24,28,2},
{24,27,116},{22,29,253},{22,27,100},{26,30,97},{25,30,13},{26,28,25},{25,28,18},{28,24,243},{24,29,76},{24,28,1},{22,27,91},{24,28,243},{22,27,91},{25,30,90},{25,30,90},{25,30,90},{25,27,99},{24,30,51},{24,28,2},{24,28,2},{24,26,27},{22,28,50},{22,27,19},{25,30,9},{25,30,9},{25,30,9},{25,27,18},{31,16,50},{24,28,1},{24,28,1},{22,27,10},{30,24,50},
{22,27,10},{31,20,72},{25,30,4},{26,28,0},{24,28,1},{31,20,72},{30,26,72},{24,28,1},{0,27,90},{30,26,72},{0,27,90},{25,0,90},{25,0,90},{25,0,90},{25,0,90},{24,28,1},{24,28,1},{24,28,1},{24,26,2},{22,27,10},{22,27,10},{26,31,234},{26,31,94},{26,29,115},{26,29,99},{26,31,325},{25,30,77},{25,29,2},{25,28,106},{23,30,253},{23,28,84},{27,31,97},
{26,31,13},{27,29,25},{26,29,18},{29,25,243},{25,30,76},{25,29,1},{23,28,80},{27,28,243},{23,28,80},{26,31,90},{26,31,90},{26,31,90},{26,28,94},{25,31,51},{25,29,2},{25,29,2},{25,27,27},{23,29,50},{23,28,20},{26,31,9},{26,31,9},{26,31,9},{26,28,13},{31,19,50},{25,29,1},{25,29,1},{23,28,16},{31,25,50},{23,28,16},{31,23,72},{26,31,4},{27,29,0},
{25,29,1},{31,23,72},{31,27,72},{25,29,1},{0,28,80},{31,27,72},{0,28,80},{26,0,90},{26,0,90},{26,0,90},{26,0,90},{25,29,1},{25,29,1},{25,29,1},{25,27,2},{23,28,4},{23,28,4},{27,31,314},{27,31,105},{27,30,117},{27,30,85},{27,31,347},{26,31,75},{26,30,2},{26,29,106},{24,31,253},{24,29,100},{28,31,115},{28,31,35},{28,30,26},{27,30,21},{31,24,244},
{26,31,75},{26,30,2},{24,29,91},{30,28,244},{24,29,91},{27,31,89},{27,31,89},{27,31,89},{27,30,84},{26,31,82},{26,30,1},{26,30,1},{26,29,25},{24,30,52},{24,29,19},{28,30,25},{28,30,25},{28,30,25},{27,30,20},{28,28,50},{26,30,1},{26,30,1},{24,29,10},{28,28,50},{24,29,10},{31,26,74},{28,31,10},{28,30,1},{26,30,1},{31,26,74},{30,29,74},{26,30,1},
{0,29,90},{30,29,74},{0,29,90},{27,0,80},{27,0,80},{27,0,80},{27,0,80},{26,30,1},{26,30,1},{26,30,1},{26,28,1},{24,29,10},{24,29,10},{28,31,371},{28,31,179},{28,31,115},{28,31,99},{28,31,387},{27,31,122},{27,31,1},{27,30,89},{26,31,279},{25,30,83},{29,31,146},{29,31,61},{29,31,25},{28,31,18},{31,27,221},{28,31,98},{27,31,1},{25,30,74},{31,29,221},
{25,30,74},{28,31,115},{28,31,115},{28,31,115},{28,30,99},{27,31,122},{27,31,1},{27,31,1},{27,30,25},{25,31,52},{25,30,19},{29,31,25},{29,31,25},{29,31,25},{28,30,18},{29,29,50},{27,31,1},{27,31,1},{25,30,10},{31,28,50},{25,30,10},{31,29,61},{30,31,34},{29,31,0},{27,31,0},{31,29,61},{31,30,61},{27,31,0},{0,30,73},{31,30,61},{0,30,73},{28,0,90},
{28,0,90},{28,0,90},{28,0,90},{27,31,1},{27,31,1},{27,31,1},{27,29,1},{25,30,10},{25,30,10},{29,31,275},{29,31,190},{29,31,154},{29,31,99},{29,31,270},{28,31,99},{28,31,35},{28,31,35},{28,31,195},{26,31,19},{30,31,70},{30,31,43},{30,31,34},{29,31,18},{31,29,94},{29,31,49},{29,31,13},{26,31,10},{31,30,94},{26,31,10},{29,31,154},{29,31,154},{29,31,154},
{29,31,99},{29,31,149},{28,31,35},{28,31,35},{28,30,27},{27,31,77},{26,31,19},{30,31,34},{30,31,34},{30,31,34},{29,31,18},{31,28,50},{29,31,13},{29,31,13},{26,31,10},{30,30,50},{26,31,10},{31,30,9},{31,31,9},{30,31,9},{30,31,0},{31,30,9},{30,31,9},{30,31,0},{0,31,9},{30,31,9},{0,31,9},{29,0,90},{29,0,90},{29,0,90},{29,0,90},{28,31,10},
{28,31,10},{28,31,10},{28,30,2},{26,31,10},{26,31,10},{30,31,162},{30,31,135},{30,31,126},{30,31,99},{30,31,154},{30,31,100},{29,31,73},{29,31,2},{29,31,109},{28,31,10},{31,31,25},{31,31,25},{31,31,25},{30,31,18},{31,30,22},{30,31,19},{30,31,10},{29,31,1},{30,31,22},{29,31,1},{30,31,126},{30,31,126},{30,31,126},{30,31,99},{30,31,118},{29,31,73},{29,31,73},
{29,31,2},{29,31,73},{28,31,10},{31,31,25},{31,31,25},{31,31,25},{30,31,18},{31,30,13},{30,31,10},{30,31,10},{29,31,1},{30,31,13},{29,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{30,0,90},{30,0,90},{30,0,90},{30,0,90},{29,31,37},{29,31,37},{29,31,37},{29,31,2},{28,31,10},
{28,31,10},{0,7,200},{0,5,20},{0,4,20},{0,3,74},{0,5,441},{0,3,282},{0,3,138},{0,2,318},{0,2,487},{0,2,343},{0,7,200},{0,5,20},{0,4,20},{0,3,74},{2,1,441},{0,3,282},{0,3,138},{0,2,318},{5,0,441},{0,2,318},{0,3,1},{0,3,1},{0,3,1},{0,2,1},{0,2,41},{0,1,20},{0,1,20},{0,1,26},{0,1,45},{0,1,30},{0,3,1},
{0,3,1},{0,3,1},{0,2,1},{1,0,41},{0,1,20},{0,1,20},{0,1,26},{2,0,41},{0,1,26},{1,5,200},{0,5,20},{0,4,20},{0,3,74},{1,5,200},{7,0,200},{0,3,74},{0,2,218},{7,0,200},{0,2,218},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,10,200},{0,7,5},{0,5,32},
{0,4,41},{0,7,689},{0,5,369},{0,4,162},{0,3,474},{0,3,762},{0,3,538},{0,10,200},{0,7,5},{0,5,32},{0,4,41},{3,1,686},{0,5,369},{0,4,162},{0,3,474},{3,2,686},{0,3,474},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{0,3,145},{0,3,65},{0,3,65},{0,2,101},{0,1,173},{0,1,110},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{1,1,145},
{0,3,65},{0,3,65},{0,2,101},{3,0,145},{0,2,101},{5,0,200},{0,7,5},{1,4,17},{0,4,41},{5,0,200},{10,0,200},{0,4,41},{0,3,218},{10,0,200},{0,3,218},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,13,249},{0,8,59},{1,6,97},{0,5,69},{0,10,728},{0,6,299},{0,5,56},
{0,4,433},{0,4,884},{0,4,554},{1,11,201},{1,8,6},{1,6,33},{1,5,42},{5,0,728},{0,6,299},{0,5,56},{0,4,433},{10,0,728},{0,4,433},{0,9,50},{0,9,50},{0,9,50},{0,5,53},{0,6,162},{0,4,25},{0,4,25},{0,3,82},{0,3,226},{0,2,115},{1,7,2},{1,7,2},{1,7,2},{1,4,2},{3,0,162},{0,4,25},{0,4,25},{0,3,82},{6,0,162},
{0,3,82},{6,1,200},{1,8,5},{2,5,17},{0,5,20},{6,1,200},{13,0,200},{0,5,20},{0,4,208},{13,0,200},{0,4,208},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,3,1},{0,3,1},{0,3,1},{0,1,4},{0,1,8},{0,1,8},{1,14,313},{1,9,123},{1,7,210},{1,6,133},{0,12,724},{0,8,251},{0,6,18},{0,5,352},{0,6,987},{0,5,521},{2,12,201},
{2,9,6},{2,7,33},{2,6,42},{4,4,724},{0,8,251},{0,6,18},{0,5,352},{12,0,724},{0,5,352},{1,10,114},{1,10,114},{1,10,114},{1,6,117},{0,9,162},{0,6,2},{0,6,2},{0,4,49},{0,4,291},{0,3,146},{2,8,2},{2,8,2},{2,8,2},{2,5,2},{4,1,162},{0,6,2},{0,6,2},{0,4,49},{9,0,162},{0,4,49},{7,2,200},{2,9,5},{3,6,17},
{0,6,17},{7,2,200},{14,1,200},{0,6,17},{0,5,208},{14,1,200},{0,5,208},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{0,2,50},{0,2,50},{2,15,410},{2,11,221},{2,8,324},{2,7,234},{1,14,739},{0,10,233},{0,8,40},{0,6,298},{0,7,1013},{0,6,426},{3,13,202},{3,10,1},{3,8,32},{3,7,41},{7,2,723},
{0,10,217},{0,8,24},{0,6,282},{14,1,723},{0,6,282},{2,12,209},{2,12,209},{2,12,209},{2,7,209},{0,12,178},{1,7,20},{1,7,20},{0,5,26},{0,6,308},{0,5,91},{3,10,1},{3,10,1},{3,10,1},{3,6,4},{4,4,162},{1,7,4},{1,7,4},{0,5,10},{12,0,162},{0,5,10},{9,1,200},{3,10,1},{4,8,20},{0,8,20},{9,1,200},{19,0,200},{0,8,20},
{0,6,218},{19,0,200},{0,6,218},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{1,7,16},{1,7,16},{1,7,16},{1,4,16},{0,4,53},{0,4,53},{3,16,408},{3,12,225},{3,9,324},{3,8,228},{2,15,739},{1,11,233},{2,8,33},{1,7,298},{0,9,875},{0,7,303},{4,14,201},{4,11,6},{4,9,33},{4,8,42},{7,5,723},{0,11,204},{2,8,17},{0,7,254},{15,2,723},
{0,7,254},{3,12,209},{3,12,209},{3,12,209},{3,8,212},{1,13,178},{2,8,17},{2,8,17},{1,6,26},{0,7,229},{0,6,17},{4,10,2},{4,10,2},{4,10,2},{4,7,2},{5,5,162},{2,8,1},{2,8,1},{0,6,1},{15,0,162},{0,6,1},{11,0,200},{4,11,5},{5,8,17},{2,8,17},{11,0,200},{22,0,200},{2,8,17},{0,7,218},{22,0,200},{0,7,218},{3,0,208},
{3,0,208},{3,0,208},{3,0,208},{2,8,16},{2,8,16},{2,8,16},{2,5,16},{0,6,16},{0,6,16},{4,17,418},{4,12,228},{4,10,315},{4,9,238},{3,16,744},{2,11,234},{3,9,33},{2,8,305},{0,11,828},{0,8,228},{5,15,201},{5,12,6},{5,10,33},{5,9,42},{11,0,728},{1,12,204},{3,9,17},{0,8,224},{22,0,728},{0,8,224},{4,13,219},{4,13,219},{4,13,219},
{4,9,222},{3,12,178},{3,9,17},{3,9,17},{2,7,26},{0,9,178},{0,7,6},{5,11,2},{5,11,2},{5,11,2},{5,8,2},{9,0,162},{3,9,1},{3,9,1},{1,7,1},{18,0,162},{1,7,1},{12,1,200},{5,12,5},{6,9,17},{3,9,17},{12,1,200},{25,0,200},{3,9,17},{0,8,208},{25,0,200},{0,8,208},{4,0,218},{4,0,218},{4,0,218},{4,0,218},{3,9,16},
{3,9,16},{3,9,16},{3,6,16},{0,7,5},{0,7,5},{5,18,418},{5,13,228},{5,11,315},{5,10,238},{3,19,744},{3,12,225},{3,11,40},{3,9,305},{0,12,749},{0,9,225},{6,16,201},{6,13,6},{6,11,33},{6,10,42},{12,0,724},{2,13,204},{4,10,18},{0,9,209},{24,0,724},{0,9,209},{5,14,219},{5,14,219},{5,14,219},{5,10,222},{3,15,178},{3,11,24},{3,11,24},
{3,8,32},{1,10,178},{1,8,5},{6,12,2},{6,12,2},{6,12,2},{6,9,2},{10,1,162},{4,10,2},{4,10,2},{2,8,1},{21,0,162},{2,8,1},{14,0,200},{6,13,5},{7,10,17},{4,10,17},{14,0,200},{26,1,200},{4,10,17},{0,9,208},{26,1,200},{0,9,208},{5,0,218},{5,0,218},{5,0,218},{5,0,218},{3,12,17},{3,12,17},{3,12,17},{3,7,20},{1,8,5},
{1,8,5},{6,19,410},{6,15,221},{6,12,324},{6,11,234},{5,18,739},{4,14,233},{4,12,40},{4,10,298},{0,14,724},{2,10,228},{7,17,202},{7,14,1},{7,12,32},{7,11,41},{14,0,723},{3,14,211},{4,12,24},{1,10,218},{26,1,723},{1,10,218},{6,16,209},{6,16,209},{6,16,209},{6,11,209},{4,16,178},{5,11,20},{5,11,20},{4,9,26},{1,12,171},{3,9,10},{7,14,1},
{7,14,1},{7,14,1},{7,10,4},{12,0,162},{5,11,4},{5,11,4},{3,9,1},{24,0,162},{3,9,1},{13,5,200},{7,14,1},{8,12,20},{3,12,17},{13,5,200},{31,0,200},{3,12,17},{0,10,218},{31,0,200},{0,10,218},{6,0,208},{6,0,208},{6,0,208},{6,0,208},{5,11,16},{5,11,16},{5,11,16},{5,8,16},{3,9,9},{3,9,9},{7,20,408},{7,16,225},{7,13,324},
{7,12,228},{6,19,739},{5,15,233},{6,12,33},{5,11,298},{1,15,724},{3,11,228},{8,18,201},{8,15,6},{8,13,33},{8,12,42},{15,1,723},{4,15,204},{6,12,17},{2,11,218},{27,2,723},{2,11,218},{7,16,209},{7,16,209},{7,16,209},{7,12,212},{5,17,178},{6,12,17},{6,12,17},{5,10,26},{2,13,171},{3,10,14},{8,14,2},{8,14,2},{8,14,2},{8,11,2},{13,1,162},
{6,12,1},{6,12,1},{4,10,1},{27,0,162},{4,10,1},{17,0,200},{8,15,5},{9,12,17},{6,12,17},{17,0,200},{30,2,200},{6,12,17},{0,11,218},{30,2,200},{0,11,218},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{6,12,16},{6,12,16},{6,12,16},{6,9,16},{3,11,10},{3,11,10},{8,21,418},{8,16,228},{8,14,315},{8,13,238},{7,20,744},{6,15,234},{7,13,33},
{6,12,305},{2,16,729},{3,12,225},{9,19,201},{9,16,6},{9,14,33},{9,13,42},{17,0,728},{5,16,204},{7,13,17},{3,12,209},{30,2,728},{3,12,209},{8,17,219},{8,17,219},{8,17,219},{8,13,222},{7,16,178},{7,13,17},{7,13,17},{6,11,26},{3,14,171},{4,11,6},{9,15,2},{9,15,2},{9,15,2},{9,12,2},{15,0,162},{7,13,1},{7,13,1},{5,11,1},{30,0,162},
{5,11,1},{18,1,200},{9,16,5},{10,13,17},{7,13,17},{18,1,200},{31,3,200},{7,13,17},{0,12,208},{31,3,200},{0,12,208},{8,0,218},{8,0,218},{8,0,218},{8,0,218},{7,13,16},{7,13,16},{7,13,16},{7,10,16},{4,11,5},{4,11,5},{9,22,418},{9,17,228},{9,15,315},{9,14,238},{7,23,744},{7,16,225},{7,15,40},{7,13,305},{3,17,729},{4,13,225},{10,20,201},
{10,17,6},{10,15,33},{10,14,42},{16,4,724},{6,17,204},{8,14,18},{4,13,209},{28,4,724},{4,13,209},{9,18,219},{9,18,219},{9,18,219},{9,14,222},{7,19,178},{7,15,24},{7,15,24},{7,12,32},{5,14,178},{5,12,5},{10,16,2},{10,16,2},{10,16,2},{10,13,2},{16,1,162},{8,14,2},{8,14,2},{6,12,1},{31,1,162},{6,12,1},{19,2,200},{10,17,5},{11,14,17},
{8,14,17},{19,2,200},{30,5,200},{8,14,17},{0,13,208},{30,5,200},{0,13,208},{9,0,218},{9,0,218},{9,0,218},{9,0,218},{7,16,17},{7,16,17},{7,16,17},{7,11,20},{5,12,5},{5,12,5},{10,23,410},{10,19,221},{10,16,324},{10,15,234},{9,22,739},{8,18,233},{8,16,40},{8,14,298},{4,18,724},{6,14,228},{11,21,202},{11,18,1},{11,16,32},{11,15,41},{19,2,723},
{7,18,211},{8,16,24},{5,14,218},{30,5,723},{5,14,218},{10,20,209},{10,20,209},{10,20,209},{10,15,209},{8,20,178},{9,15,20},{9,15,20},{8,13,26},{5,16,171},{7,13,10},{11,18,1},{11,18,1},{11,18,1},{11,14,4},{16,4,162},{9,15,4},{9,15,4},{7,13,1},{28,4,162},{7,13,1},{21,1,200},{11,18,1},{12,16,20},{7,16,17},{21,1,200},{27,8,200},{7,16,17},
{0,14,218},{27,8,200},{0,14,218},{10,0,208},{10,0,208},{10,0,208},{10,0,208},{9,15,16},{9,15,16},{9,15,16},{9,12,16},{7,13,9},{7,13,9},{11,24,408},{11,20,225},{11,17,324},{11,16,228},{10,23,739},{9,19,233},{10,16,33},{9,15,298},{5,19,724},{7,15,228},{12,22,201},{12,19,6},{12,17,33},{12,16,42},{19,5,723},{8,19,204},{10,16,17},{6,15,218},{31,6,723},
{6,15,218},{11,20,209},{11,20,209},{11,20,209},{11,16,212},{9,21,178},{10,16,17},{10,16,17},{9,14,26},{6,17,171},{7,14,14},{12,18,2},{12,18,2},{12,18,2},{12,15,2},{17,5,162},{10,16,1},{10,16,1},{8,14,1},{31,4,162},{8,14,1},{23,0,200},{12,19,5},{13,16,17},{10,16,17},{23,0,200},{30,8,200},{10,16,17},{0,15,218},{30,8,200},{0,15,218},{11,0,208},
{11,0,208},{11,0,208},{11,0,208},{10,16,16},{10,16,16},{10,16,16},{10,13,16},{7,15,10},{7,15,10},{12,25,418},{12,20,228},{12,18,315},{12,17,238},{11,24,744},{10,19,234},{11,17,33},{10,16,305},{6,20,729},{7,16,225},{13,23,201},{13,20,6},{13,18,33},{13,17,42},{23,0,728},{9,20,204},{11,17,17},{7,16,209},{30,8,728},{7,16,209},{12,21,219},{12,21,219},{12,21,219},
{12,17,222},{11,20,178},{11,17,17},{11,17,17},{10,15,26},{7,18,171},{8,15,6},{13,19,2},{13,19,2},{13,19,2},{13,16,2},{21,0,162},{11,17,1},{11,17,1},{9,15,1},{30,6,162},{9,15,1},{24,1,200},{13,20,5},{14,17,17},{11,17,17},{24,1,200},{31,9,200},{11,17,17},{0,16,208},{31,9,200},{0,16,208},{12,0,218},{12,0,218},{12,0,218},{12,0,218},{11,17,16},
{11,17,16},{11,17,16},{11,14,16},{8,15,5},{8,15,5},{13,26,418},{13,21,228},{13,19,315},{13,18,238},{11,27,744},{11,20,225},{11,19,40},{11,17,305},{7,21,729},{8,17,225},{14,24,201},{14,21,6},{14,19,33},{14,18,42},{24,0,724},{10,21,204},{12,18,18},{8,17,209},{24,12,724},{8,17,209},{13,22,219},{13,22,219},{13,22,219},{13,18,222},{11,23,178},{11,19,24},{11,19,24},
{11,16,32},{9,18,178},{9,16,5},{14,20,2},{14,20,2},{14,20,2},{14,17,2},{22,1,162},{12,18,2},{12,18,2},{10,16,1},{31,7,162},{10,16,1},{26,0,200},{14,21,5},{15,18,17},{12,18,17},{26,0,200},{30,11,200},{12,18,17},{0,17,208},{30,11,200},{0,17,208},{13,0,218},{13,0,218},{13,0,218},{13,0,218},{11,20,17},{11,20,17},{11,20,17},{11,15,20},{9,16,5},
{9,16,5},{14,27,410},{14,23,221},{14,20,324},{14,19,234},{13,26,739},{12,22,233},{12,20,40},{12,18,298},{8,22,724},{10,18,228},{15,25,202},{15,22,1},{15,20,32},{15,19,41},{26,0,723},{11,22,211},{12,20,24},{9,18,218},{30,11,723},{9,18,218},{14,24,209},{14,24,209},{14,24,209},{14,19,209},{12,24,178},{13,19,20},{13,19,20},{12,17,26},{9,20,171},{11,17,10},{15,22,1},
{15,22,1},{15,22,1},{15,18,4},{24,0,162},{13,19,4},{13,19,4},{11,17,1},{24,12,162},{11,17,1},{25,5,200},{15,22,1},{16,20,20},{11,20,17},{25,5,200},{31,12,200},{11,20,17},{0,18,218},{31,12,200},{0,18,218},{14,0,208},{14,0,208},{14,0,208},{14,0,208},{13,19,16},{13,19,16},{13,19,16},{13,16,16},{11,17,9},{11,17,9},{15,28,408},{15,24,225},{15,21,324},
{15,20,228},{14,27,739},{13,23,233},{14,20,33},{13,19,298},{9,23,724},{11,19,228},{16,26,201},{16,23,6},{16,21,33},{16,20,42},{27,1,723},{12,23,204},{14,20,17},{10,19,218},{27,14,723},{10,19,218},{15,24,209},{15,24,209},{15,24,209},{15,20,212},{13,25,178},{14,20,17},{14,20,17},{13,18,26},{10,21,171},{11,18,14},{16,22,2},{16,22,2},{16,22,2},{16,19,2},{25,1,162},
{14,20,1},{14,20,1},{12,18,1},{27,12,162},{12,18,1},{29,0,200},{16,23,5},{17,20,17},{14,20,17},{29,0,200},{30,14,200},{14,20,17},{0,19,218},{30,14,200},{0,19,218},{15,0,208},{15,0,208},{15,0,208},{15,0,208},{14,20,16},{14,20,16},{14,20,16},{14,17,16},{11,19,10},{11,19,10},{16,29,418},{16,24,228},{16,22,315},{16,21,238},{15,28,744},{14,23,234},{15,21,33},
{14,20,305},{10,24,729},{11,20,225},{17,27,201},{17,24,6},{17,22,33},{17,21,42},{29,0,728},{13,24,204},{15,21,17},{11,20,209},{30,14,728},{11,20,209},{16,25,219},{16,25,219},{16,25,219},{16,21,222},{15,24,178},{15,21,17},{15,21,17},{14,19,26},{11,22,171},{12,19,6},{17,23,2},{17,23,2},{17,23,2},{17,20,2},{27,0,162},{15,21,1},{15,21,1},{13,19,1},{30,12,162},
{13,19,1},{30,1,200},{17,24,5},{18,21,17},{15,21,17},{30,1,200},{31,15,200},{15,21,17},{0,20,208},{31,15,200},{0,20,208},{16,0,218},{16,0,218},{16,0,218},{16,0,218},{15,21,16},{15,21,16},{15,21,16},{15,18,16},{12,19,5},{12,19,5},{17,30,418},{17,25,228},{17,23,315},{17,22,238},{15,31,744},{15,24,225},{15,23,40},{15,21,305},{11,25,729},{12,21,225},{18,28,201},
{18,25,6},{18,23,33},{18,22,42},{28,4,724},{14,25,204},{16,22,18},{12,21,209},{28,16,724},{12,21,209},{17,26,219},{17,26,219},{17,26,219},{17,22,222},{15,27,178},{15,23,24},{15,23,24},{15,20,32},{13,22,178},{13,20,5},{18,24,2},{18,24,2},{18,24,2},{18,21,2},{28,1,162},{16,22,2},{16,22,2},{14,20,1},{31,13,162},{14,20,1},{31,2,200},{18,25,5},{19,22,17},
{16,22,17},{31,2,200},{30,17,200},{16,22,17},{0,21,208},{30,17,200},{0,21,208},{17,0,218},{17,0,218},{17,0,218},{17,0,218},{15,24,17},{15,24,17},{15,24,17},{15,19,20},{13,20,5},{13,20,5},{18,31,410},{18,27,221},{18,24,324},{18,23,234},{17,30,739},{16,26,233},{16,24,40},{16,22,298},{12,26,724},{14,22,228},{19,29,202},{19,26,1},{19,24,32},{19,23,41},{31,2,723},
{15,26,211},{16,24,24},{13,22,218},{30,17,723},{13,22,218},{18,28,209},{18,28,209},{18,28,209},{18,23,209},{16,28,178},{17,23,20},{17,23,20},{16,21,26},{13,24,171},{15,21,10},{19,26,1},{19,26,1},{19,26,1},{19,22,4},{28,4,162},{17,23,4},{17,23,4},{15,21,1},{28,16,162},{15,21,1},{29,9,200},{19,26,1},{20,24,20},{15,24,17},{29,9,200},{27,20,200},{15,24,17},
{0,22,218},{27,20,200},{0,22,218},{18,0,208},{18,0,208},{18,0,208},{18,0,208},{17,23,16},{17,23,16},{17,23,16},{17,20,16},{15,21,9},{15,21,9},{19,31,426},{19,28,225},{19,25,324},{19,24,228},{18,31,739},{17,27,233},{18,24,33},{17,23,298},{13,27,724},{15,23,228},{20,30,201},{20,27,6},{20,25,33},{20,24,42},{31,5,723},{16,27,204},{18,24,17},{14,23,218},{31,18,723},
{14,23,218},{19,28,209},{19,28,209},{19,28,209},{19,24,212},{17,29,178},{18,24,17},{18,24,17},{17,22,26},{14,25,171},{15,22,14},{20,26,2},{20,26,2},{20,26,2},{20,23,2},{29,5,162},{18,24,1},{18,24,1},{16,22,1},{31,16,162},{16,22,1},{31,8,200},{20,27,5},{21,24,17},{18,24,17},{31,8,200},{30,20,200},{18,24,17},{0,23,218},{30,20,200},{0,23,218},{19,0,208},
{19,0,208},{19,0,208},{19,0,208},{18,24,16},{18,24,16},{18,24,16},{18,21,16},{15,23,10},{15,23,10},{20,31,468},{20,28,228},{20,26,315},{20,25,238},{19,31,747},{18,27,234},{19,25,33},{18,24,305},{14,28,729},{15,24,225},{21,31,201},{21,28,6},{21,26,33},{21,25,42},{31,8,728},{17,28,204},{19,25,17},{15,24,209},{30,20,728},{15,24,209},{20,29,219},{20,29,219},{20,29,219},
{20,25,222},{19,28,178},{19,25,17},{19,25,17},{18,23,26},{15,26,171},{16,23,6},{21,27,2},{21,27,2},{21,27,2},{21,24,2},{31,4,162},{19,25,1},{19,25,1},{17,23,1},{30,18,162},{17,23,1},{31,11,200},{21,28,5},{22,25,17},{19,25,17},{31,11,200},{31,21,200},{19,25,17},{0,24,208},{31,21,200},{0,24,208},{20,0,218},{20,0,218},{20,0,218},{20,0,218},{19,25,16},
{19,25,16},{19,25,16},{19,22,16},{16,23,5},{16,23,5},{21,31,546},{21,29,228},{21,27,315},{21,26,238},{20,31,788},{19,28,225},{19,27,40},{19,25,305},{15,29,729},{16,25,225},{22,31,219},{22,29,6},{22,27,33},{22,26,42},{28,16,724},{18,29,204},{20,26,18},{16,25,209},{24,24,724},{16,25,209},{21,30,219},{21,30,219},{21,30,219},{21,26,222},{19,31,178},{19,27,24},{19,27,24},
{19,24,32},{17,26,178},{17,24,5},{22,28,2},{22,28,2},{22,28,2},{22,25,2},{31,7,162},{20,26,2},{20,26,2},{18,24,1},{31,19,162},{18,24,1},{31,14,200},{22,29,5},{23,26,17},{20,26,17},{31,14,200},{30,23,200},{20,26,17},{0,25,208},{30,23,200},{0,25,208},{21,0,218},{21,0,218},{21,0,218},{21,0,218},{19,28,17},{19,28,17},{19,28,17},{19,23,20},{17,24,5},
{17,24,5},{23,31,672},{22,31,221},{22,28,324},{22,27,234},{22,31,888},{20,30,233},{20,28,40},{20,26,298},{16,30,724},{18,26,228},{23,31,272},{23,30,1},{23,28,32},{23,27,41},{31,14,723},{19,30,211},{20,28,24},{17,26,218},{30,23,723},{17,26,218},{22,31,212},{22,31,212},{22,31,212},{22,27,209},{21,30,180},{21,27,20},{21,27,20},{20,25,26},{17,28,171},{19,25,10},{23,30,1},
{23,30,1},{23,30,1},{23,26,4},{28,16,162},{21,27,4},{21,27,4},{19,25,1},{24,24,162},{19,25,1},{29,21,200},{23,30,1},{24,28,20},{19,28,17},{29,21,200},{31,24,200},{19,28,17},{0,26,218},{31,24,200},{0,26,218},{22,0,208},{22,0,208},{22,0,208},{22,0,208},{21,27,16},{21,27,16},{21,27,16},{21,24,16},{19,25,9},{19,25,9},{24,31,770},{23,31,228},{23,29,324},
{23,28,228},{23,31,932},{21,31,233},{22,28,33},{21,27,298},{17,31,724},{19,27,228},{25,31,299},{24,31,6},{24,29,33},{24,28,42},{31,17,723},{20,31,204},{22,28,17},{18,27,218},{27,26,723},{18,27,218},{23,31,224},{23,31,224},{23,31,224},{23,28,212},{22,31,180},{22,28,17},{22,28,17},{21,26,26},{18,29,171},{19,26,14},{24,30,2},{24,30,2},{24,30,2},{24,27,2},{29,17,162},
{22,28,1},{22,28,1},{20,26,1},{27,24,162},{20,26,1},{31,20,200},{24,31,5},{25,28,17},{22,28,17},{31,20,200},{30,26,200},{22,28,17},{0,27,218},{30,26,200},{0,27,218},{23,0,208},{23,0,208},{23,0,208},{23,0,208},{22,28,16},{22,28,16},{22,28,16},{22,25,16},{19,27,10},{19,27,10},{25,31,884},{24,31,303},{24,30,315},{24,29,238},{24,31,1025},{22,31,234},{23,29,33},
{22,28,305},{19,31,747},{19,28,225},{26,31,353},{25,31,27},{25,30,33},{25,29,42},{31,20,728},{22,31,218},{23,29,17},{19,28,209},{30,26,728},{19,28,209},{24,31,254},{24,31,254},{24,31,254},{24,29,222},{23,31,196},{23,29,17},{23,29,17},{22,27,26},{19,30,171},{20,27,6},{25,31,2},{25,31,2},{25,31,2},{25,28,2},{31,16,162},{23,29,1},{23,29,1},{21,27,1},{30,24,162},
{21,27,1},{31,23,200},{26,31,20},{26,29,17},{23,29,17},{31,23,200},{31,27,200},{23,29,17},{0,28,208},{31,27,200},{0,28,208},{24,0,218},{24,0,218},{24,0,218},{24,0,218},{23,29,16},{23,29,16},{23,29,16},{23,26,16},{20,27,5},{20,27,5},{26,31,1034},{25,31,468},{25,31,315},{25,30,238},{25,31,1172},{24,31,291},{23,31,40},{23,29,305},{21,31,837},{20,29,225},{27,31,409},
{26,31,117},{26,31,33},{26,30,42},{28,28,724},{24,31,266},{24,30,18},{20,29,209},{28,28,724},{20,29,209},{25,31,299},{25,31,299},{25,31,299},{25,30,222},{24,31,237},{23,31,24},{23,31,24},{23,28,32},{21,30,178},{21,28,5},{26,31,17},{26,31,17},{26,31,17},{26,29,2},{31,19,162},{24,30,2},{24,30,2},{22,28,1},{31,25,162},{22,28,1},{31,26,200},{27,31,53},{27,30,17},
{24,30,17},{31,26,200},{30,29,200},{24,30,17},{0,29,208},{30,29,200},{0,29,208},{25,0,218},{25,0,218},{25,0,218},{25,0,218},{23,31,20},{23,31,20},{23,31,20},{23,27,20},{21,28,5},{21,28,5},{27,31,933},{27,31,570},{26,31,377},{26,31,209},{27,31,1054},{25,31,309},{25,31,20},{24,30,193},{23,31,735},{22,30,123},{28,31,338},{28,31,146},{27,31,49},{27,31,16},{29,29,546},
{26,31,222},{25,31,4},{21,30,113},{31,28,546},{21,30,113},{26,31,377},{26,31,377},{26,31,377},{26,31,209},{26,31,338},{25,31,20},{25,31,20},{24,29,26},{22,31,173},{23,29,10},{27,31,49},{27,31,49},{27,31,49},{27,30,4},{28,28,162},{25,31,4},{25,31,4},{23,29,1},{28,28,162},{23,29,1},{31,28,113},{29,31,52},{28,31,1},{26,31,1},{31,28,113},{30,30,113},{26,31,1},
{0,30,113},{30,30,113},{0,30,113},{26,0,208},{26,0,208},{26,0,208},{26,0,208},{25,31,16},{25,31,16},{25,31,16},{25,28,16},{23,29,9},{23,29,9},{28,31,779},{27,31,554},{27,31,433},{27,31,224},{28,31,859},{26,31,270},{26,31,74},{25,30,90},{24,31,590},{23,31,59},{29,31,218},{29,31,133},{28,31,82},{28,31,2},{31,27,333},{27,31,146},{27,31,25},{22,31,49},{31,29,333},
{22,31,49},{27,31,433},{27,31,433},{27,31,433},{27,31,224},{27,31,378},{26,31,74},{26,31,74},{25,30,26},{24,31,229},{23,30,14},{28,31,82},{28,31,82},{28,31,82},{28,31,2},{29,29,162},{27,31,25},{27,31,25},{24,30,1},{31,28,162},{24,30,1},{31,30,25},{30,31,10},{30,31,1},{28,31,1},{31,30,25},{30,31,25},{28,31,1},{0,31,49},{30,31,25},{0,31,49},{27,0,208},
{27,0,208},{27,0,208},{27,0,208},{26,31,25},{26,31,25},{26,31,25},{26,29,16},{23,31,10},{23,31,10},{29,31,684},{28,31,538},{28,31,474},{28,31,282},{28,31,682},{27,31,283},{27,31,162},{26,31,25},{26,31,482},{24,31,5},{30,31,153},{30,31,126},{30,31,117},{29,31,37},{31,29,193},{29,31,108},{28,31,65},{25,31,0},{31,30,193},{25,31,0},{28,31,474},{28,31,474},{28,31,474},
{28,31,282},{28,31,426},{27,31,162},{27,31,162},{26,31,25},{26,31,286},{24,31,5},{30,31,117},{30,31,117},{30,31,117},{29,31,37},{31,28,145},{28,31,65},{28,31,65},{25,31,0},{30,30,145},{25,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{28,0,218},{28,0,218},{28,0,218},{28,0,218},{27,31,41},
{27,31,41},{27,31,41},{27,30,16},{24,31,5},{24,31,5},{29,31,460},{29,31,375},{29,31,339},{29,31,254},{29,31,415},{28,31,202},{28,31,138},{27,31,20},{27,31,295},{26,31,26},{30,31,73},{30,31,46},{30,31,37},{30,31,10},{31,30,54},{30,31,27},{30,31,18},{28,31,1},{30,31,54},{28,31,1},{29,31,339},{29,31,339},{29,31,339},{29,31,254},{29,31,294},{28,31,138},{28,31,138},
{27,31,20},{27,31,174},{26,31,26},{30,31,37},{30,31,37},{30,31,37},{30,31,10},{31,29,45},{30,31,18},{30,31,18},{28,31,1},{31,30,45},{28,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{29,0,218},{29,0,218},{29,0,218},{29,0,218},{28,31,74},{28,31,74},{28,31,74},{27,31,20},{26,31,26},
{26,31,26},{0,10,421},{0,7,52},{0,5,1},{0,4,162},{0,7,926},{0,5,590},{0,4,283},{0,3,701},{0,3,1005},{0,3,765},{0,10,421},{0,7,52},{0,5,1},{0,4,162},{3,1,925},{0,5,590},{0,4,283},{0,3,701},{3,2,925},{0,3,701},{0,5,0},{0,5,0},{0,5,0},{0,2,9},{0,2,89},{0,2,34},{0,2,34},{0,1,50},{0,1,93},{0,1,54},{0,5,0},
{0,5,0},{0,5,0},{0,2,9},{1,0,89},{0,2,34},{0,2,34},{0,1,50},{2,0,89},{0,1,50},{5,0,421},{0,7,52},{0,5,1},{0,4,162},{5,0,421},{10,0,421},{0,4,162},{0,3,445},{10,0,421},{0,3,445},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,13,421},{0,9,10},{0,6,26},
{0,5,117},{0,9,1261},{0,6,701},{0,5,286},{0,4,917},{0,4,1390},{0,3,1005},{0,13,421},{0,9,10},{0,6,26},{0,5,117},{4,1,1261},{0,6,701},{0,5,286},{0,4,917},{9,0,1261},{0,4,917},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,4,221},{0,3,89},{0,3,89},{0,2,125},{0,2,246},{0,2,150},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{2,0,221},
{0,3,89},{0,3,89},{0,2,125},{4,0,221},{0,2,125},{6,1,421},{0,9,10},{1,6,1},{0,5,117},{6,1,421},{13,0,421},{0,5,117},{0,4,433},{13,0,421},{0,4,433},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,16,430},{0,11,14},{0,7,110},{0,7,91},{0,11,1514},{0,7,737},{0,6,259},
{0,4,1002},{0,5,1710},{0,4,1123},{0,16,430},{0,11,14},{1,7,51},{0,7,91},{5,1,1514},{0,7,737},{0,6,259},{0,4,1002},{11,0,1514},{0,4,1002},{0,11,10},{0,11,10},{0,11,10},{0,5,13},{0,6,338},{0,5,104},{0,5,104},{0,3,194},{0,3,402},{0,2,243},{0,11,10},{0,11,10},{0,11,10},{0,5,13},{3,0,338},{0,5,104},{0,5,104},{0,3,194},{6,0,338},
{0,3,194},{8,0,421},{0,11,5},{2,7,1},{0,7,82},{8,0,421},{16,0,421},{0,7,82},{0,5,433},{16,0,421},{0,5,433},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,1},{0,1,1},{0,1,1},{0,1,4},{0,1,8},{0,1,8},{1,17,494},{1,12,78},{1,8,173},{1,8,154},{0,14,1514},{0,9,602},{0,7,146},{0,6,874},{0,7,1875},{0,5,1066},{1,17,430},
{1,12,14},{2,8,50},{1,8,90},{7,0,1514},{0,9,602},{0,7,146},{0,6,874},{14,0,1514},{0,6,874},{1,12,74},{1,12,74},{1,12,74},{1,6,77},{0,9,338},{0,6,50},{0,6,50},{0,4,137},{0,4,467},{0,3,258},{1,12,10},{1,12,10},{1,12,10},{1,6,13},{4,1,338},{0,6,50},{0,6,50},{0,4,137},{9,0,338},{0,4,137},{9,1,421},{1,12,5},{3,8,1},
{0,8,49},{9,1,421},{19,0,421},{0,8,49},{0,6,433},{19,0,421},{0,6,433},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,4,0},{0,4,0},{0,4,0},{0,2,1},{0,2,26},{0,2,26},{1,20,629},{1,14,233},{2,10,385},{1,9,245},{0,17,1517},{0,11,521},{0,9,26},{0,7,769},{0,8,2025},{0,6,1085},{3,16,437},{2,13,17},{3,9,53},{2,9,81},{8,1,1517},
{0,11,521},{0,9,26},{0,7,769},{17,0,1517},{0,7,769},{1,15,208},{1,15,208},{1,15,208},{1,8,208},{0,12,338},{0,8,8},{0,8,8},{0,5,74},{0,5,579},{0,5,243},{3,11,16},{3,11,16},{3,11,16},{3,7,16},{4,4,338},{0,8,8},{0,8,8},{0,5,74},{12,0,338},{0,5,74},{11,0,421},{2,13,1},{4,9,1},{0,9,10},{11,0,421},{22,0,421},{0,9,10},
{0,7,445},{22,0,421},{0,7,445},{1,0,208},{1,0,208},{1,0,208},{1,0,208},{0,7,1},{0,7,1},{0,7,1},{0,4,4},{0,3,80},{0,3,80},{2,21,821},{2,15,425},{2,11,645},{2,10,437},{0,20,1514},{0,12,458},{0,10,2},{0,8,689},{0,9,2198},{0,7,1146},{3,19,437},{3,14,17},{4,10,51},{3,10,81},{8,4,1514},{0,12,458},{0,10,2},{0,8,689},{20,0,1514},
{0,8,689},{2,16,400},{2,16,400},{2,16,400},{2,9,400},{0,15,338},{0,10,1},{0,10,1},{0,6,41},{0,7,717},{0,6,297},{3,14,16},{3,14,16},{3,14,16},{3,8,20},{5,5,338},{0,10,1},{0,10,1},{0,6,41},{15,0,338},{0,6,41},{12,1,421},{3,14,1},{5,10,1},{0,10,1},{12,1,421},{25,0,421},{0,10,1},{0,8,433},{25,0,421},{0,8,433},{2,0,400},
{2,0,400},{2,0,400},{2,0,400},{0,10,1},{0,10,1},{0,10,1},{0,5,1},{0,4,157},{0,4,157},{3,22,854},{3,15,459},{3,12,666},{3,11,470},{1,21,1515},{1,13,459},{1,11,3},{0,9,651},{0,11,2070},{0,9,891},{4,20,430},{4,15,14},{5,11,51},{4,11,91},{9,5,1514},{0,14,425},{1,11,2},{0,9,602},{23,0,1514},{0,9,602},{3,17,433},{3,17,433},{3,17,433},
{3,10,433},{1,16,339},{1,11,2},{1,11,2},{1,7,42},{0,8,613},{0,7,173},{4,15,10},{4,15,10},{4,15,10},{4,9,13},{9,0,338},{1,11,1},{1,11,1},{0,7,29},{18,0,338},{0,7,29},{14,0,421},{4,15,5},{6,11,1},{1,11,1},{14,0,421},{28,0,421},{1,11,1},{0,9,433},{28,0,421},{0,9,433},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{1,11,2},
{1,11,2},{1,11,2},{1,6,2},{0,6,97},{0,6,97},{4,23,866},{4,16,461},{4,12,670},{4,12,494},{2,22,1515},{2,14,459},{2,12,3},{1,10,651},{0,12,1913},{0,10,677},{5,21,430},{5,16,14},{6,12,50},{5,12,90},{13,0,1514},{1,15,425},{2,12,2},{0,10,533},{26,0,1514},{0,10,533},{4,18,446},{4,18,446},{4,18,446},{4,11,446},{2,17,339},{2,12,3},{2,12,3},
{2,8,42},{0,10,500},{0,8,65},{5,16,10},{5,16,10},{5,16,10},{5,10,13},{10,1,338},{2,12,2},{2,12,2},{0,8,16},{21,0,338},{0,8,16},{15,1,421},{5,16,5},{7,12,1},{2,12,1},{15,1,421},{31,0,421},{2,12,1},{0,10,433},{31,0,421},{0,10,433},{4,0,445},{4,0,445},{4,0,445},{4,0,445},{2,12,2},{2,12,2},{2,12,2},{2,7,2},{0,8,49},
{0,8,49},{5,24,854},{5,18,458},{5,14,678},{5,13,470},{3,23,1517},{3,15,461},{3,13,5},{2,11,653},{0,14,1758},{0,11,530},{7,20,437},{6,17,17},{7,13,53},{6,13,81},{14,1,1517},{2,16,422},{3,13,5},{0,11,494},{29,0,1517},{0,11,494},{5,19,433},{5,19,433},{5,19,433},{5,12,433},{3,18,340},{3,13,4},{3,13,4},{3,9,41},{0,12,419},{0,10,19},{7,15,16},
{7,15,16},{7,15,16},{7,11,16},{12,0,338},{3,13,4},{3,13,4},{0,10,10},{24,0,338},{0,10,10},{17,0,421},{6,17,1},{8,13,1},{3,13,1},{17,0,421},{30,2,421},{3,13,1},{0,11,445},{30,2,421},{0,11,445},{5,0,433},{5,0,433},{5,0,433},{5,0,433},{3,14,1},{3,14,1},{3,14,1},{3,8,1},{0,10,10},{0,10,10},{6,25,854},{6,19,458},{6,15,678},
{6,14,470},{4,24,1515},{4,16,459},{4,14,3},{3,12,666},{0,16,1658},{0,12,459},{7,23,437},{7,18,17},{8,14,51},{7,14,81},{16,0,1514},{3,17,422},{4,14,2},{0,12,458},{24,4,1514},{0,12,458},{6,20,433},{6,20,433},{6,20,433},{6,13,433},{4,19,339},{4,14,2},{4,14,2},{4,10,42},{0,13,365},{0,11,14},{7,18,16},{7,18,16},{7,18,16},{7,12,20},{13,1,338},
{4,14,1},{4,14,1},{0,11,10},{27,0,338},{0,11,10},{18,1,421},{7,18,1},{9,14,1},{4,14,1},{18,1,421},{31,3,421},{4,14,1},{0,12,433},{31,3,421},{0,12,433},{6,0,433},{6,0,433},{6,0,433},{6,0,433},{4,14,2},{4,14,2},{4,14,2},{4,9,2},{0,11,5},{0,11,5},{7,26,854},{7,19,459},{7,16,666},{7,15,470},{5,25,1515},{5,17,459},{5,15,3},
{4,13,651},{0,17,1577},{1,13,459},{8,24,430},{8,19,14},{9,15,51},{8,15,91},{17,1,1514},{4,18,425},{5,15,2},{0,13,437},{27,4,1514},{0,13,437},{7,21,433},{7,21,433},{7,21,433},{7,14,433},{5,20,339},{5,15,2},{5,15,2},{5,11,42},{0,15,339},{1,12,21},{8,19,10},{8,19,10},{8,19,10},{8,13,13},{15,0,338},{5,15,1},{5,15,1},{1,12,17},{30,0,338},
{1,12,17},{20,0,421},{8,19,5},{10,15,1},{5,15,1},{20,0,421},{30,5,421},{5,15,1},{0,13,433},{30,5,421},{0,13,433},{7,0,433},{7,0,433},{7,0,433},{7,0,433},{5,15,2},{5,15,2},{5,15,2},{5,10,2},{1,12,5},{1,12,5},{8,27,866},{8,20,461},{8,16,670},{8,16,494},{6,26,1515},{6,18,459},{6,16,3},{5,14,651},{0,19,1530},{2,14,459},{9,25,430},
{9,20,14},{10,16,50},{9,16,90},{19,0,1514},{5,19,425},{6,16,2},{0,14,434},{30,4,1514},{0,14,434},{8,22,446},{8,22,446},{8,22,446},{8,15,446},{6,21,339},{6,16,3},{6,16,3},{6,12,42},{1,16,339},{2,13,21},{9,20,10},{9,20,10},{9,20,10},{9,14,13},{16,1,338},{6,16,2},{6,16,2},{4,12,16},{31,1,338},{4,12,16},{21,1,421},{9,20,5},{11,16,1},
{6,16,1},{21,1,421},{31,6,421},{6,16,1},{0,14,433},{31,6,421},{0,14,433},{8,0,445},{8,0,445},{8,0,445},{8,0,445},{6,16,2},{6,16,2},{6,16,2},{6,11,2},{2,13,5},{2,13,5},{9,28,854},{9,22,458},{9,18,678},{9,17,470},{7,27,1517},{7,19,461},{7,17,5},{6,15,653},{1,20,1526},{3,15,461},{11,24,437},{10,21,17},{11,17,53},{10,17,81},{20,1,1517},
{6,20,422},{7,17,5},{2,15,446},{31,5,1517},{2,15,446},{9,23,433},{9,23,433},{9,23,433},{9,16,433},{7,22,340},{7,17,4},{7,17,4},{7,13,41},{2,17,340},{4,14,19},{11,19,16},{11,19,16},{11,19,16},{11,15,16},{16,4,338},{7,17,4},{7,17,4},{4,14,10},{28,4,338},{4,14,10},{23,0,421},{10,21,1},{12,17,1},{7,17,1},{23,0,421},{30,8,421},{7,17,1},
{0,15,445},{30,8,421},{0,15,445},{9,0,433},{9,0,433},{9,0,433},{9,0,433},{7,18,1},{7,18,1},{7,18,1},{7,12,1},{4,14,10},{4,14,10},{10,29,854},{10,23,458},{10,19,678},{10,18,470},{8,28,1515},{8,20,459},{8,18,3},{7,16,666},{2,21,1526},{4,16,459},{11,27,437},{11,22,17},{12,18,51},{11,18,81},{20,4,1514},{7,21,422},{8,18,2},{2,16,434},{28,8,1514},
{2,16,434},{10,24,433},{10,24,433},{10,24,433},{10,17,433},{8,23,339},{8,18,2},{8,18,2},{8,14,42},{3,18,340},{4,15,14},{11,22,16},{11,22,16},{11,22,16},{11,16,20},{17,5,338},{8,18,1},{8,18,1},{4,15,10},{31,4,338},{4,15,10},{24,1,421},{11,22,1},{13,18,1},{8,18,1},{24,1,421},{31,9,421},{8,18,1},{0,16,433},{31,9,421},{0,16,433},{10,0,433},
{10,0,433},{10,0,433},{10,0,433},{8,18,2},{8,18,2},{8,18,2},{8,13,2},{4,15,5},{4,15,5},{11,30,854},{11,23,459},{11,20,666},{11,19,470},{9,29,1515},{9,21,459},{9,19,3},{8,17,651},{3,22,1526},{5,17,459},{12,28,430},{12,23,14},{13,19,51},{12,19,91},{21,5,1514},{8,22,425},{9,19,2},{3,17,434},{31,8,1514},{3,17,434},{11,25,433},{11,25,433},{11,25,433},
{11,18,433},{9,24,339},{9,19,2},{9,19,2},{9,15,42},{4,19,339},{5,16,21},{12,23,10},{12,23,10},{12,23,10},{12,17,13},{21,0,338},{9,19,1},{9,19,1},{5,16,17},{30,6,338},{5,16,17},{26,0,421},{12,23,5},{14,19,1},{9,19,1},{26,0,421},{30,11,421},{9,19,1},{0,17,433},{30,11,421},{0,17,433},{11,0,433},{11,0,433},{11,0,433},{11,0,433},{9,19,2},
{9,19,2},{9,19,2},{9,14,2},{5,16,5},{5,16,5},{12,31,866},{12,24,461},{12,20,670},{12,20,494},{10,30,1515},{10,22,459},{10,20,3},{9,18,651},{4,23,1530},{6,18,459},{13,29,430},{13,24,14},{14,20,50},{13,20,90},{25,0,1514},{9,23,425},{10,20,2},{4,18,434},{30,10,1514},{4,18,434},{12,26,446},{12,26,446},{12,26,446},{12,19,446},{10,25,339},{10,20,3},{10,20,3},
{10,16,42},{5,20,339},{6,17,21},{13,24,10},{13,24,10},{13,24,10},{13,18,13},{22,1,338},{10,20,2},{10,20,2},{8,16,16},{31,7,338},{8,16,16},{27,1,421},{13,24,5},{15,20,1},{10,20,1},{27,1,421},{31,12,421},{10,20,1},{0,18,433},{31,12,421},{0,18,433},{12,0,445},{12,0,445},{12,0,445},{12,0,445},{10,20,2},{10,20,2},{10,20,2},{10,15,2},{6,17,5},
{6,17,5},{13,31,878},{13,26,458},{13,22,678},{13,21,470},{11,31,1517},{11,23,461},{11,21,5},{10,19,653},{5,24,1526},{7,19,461},{15,28,437},{14,25,17},{15,21,53},{14,21,81},{26,1,1517},{10,24,422},{11,21,5},{6,19,446},{31,11,1517},{6,19,446},{13,27,433},{13,27,433},{13,27,433},{13,20,433},{11,26,340},{11,21,4},{11,21,4},{11,17,41},{6,21,340},{8,18,19},{15,23,16},
{15,23,16},{15,23,16},{15,19,16},{24,0,338},{11,21,4},{11,21,4},{8,18,10},{24,12,338},{8,18,10},{29,0,421},{14,25,1},{16,21,1},{11,21,1},{29,0,421},{30,14,421},{11,21,1},{0,19,445},{30,14,421},{0,19,445},{13,0,433},{13,0,433},{13,0,433},{13,0,433},{11,22,1},{11,22,1},{11,22,1},{11,16,1},{8,18,10},{8,18,10},{14,31,938},{14,27,458},{14,23,678},
{14,22,470},{12,31,1542},{12,24,459},{12,22,3},{11,20,666},{6,25,1526},{8,20,459},{15,31,437},{15,26,17},{16,22,51},{15,22,81},{28,0,1514},{11,25,422},{12,22,2},{6,20,434},{24,16,1514},{6,20,434},{14,28,433},{14,28,433},{14,28,433},{14,21,433},{12,27,339},{12,22,2},{12,22,2},{12,18,42},{7,22,340},{8,19,14},{15,26,16},{15,26,16},{15,26,16},{15,20,20},{25,1,338},
{12,22,1},{12,22,1},{8,19,10},{27,12,338},{8,19,10},{30,1,421},{15,26,1},{17,22,1},{12,22,1},{30,1,421},{31,15,421},{12,22,1},{0,20,433},{31,15,421},{0,20,433},{14,0,433},{14,0,433},{14,0,433},{14,0,433},{12,22,2},{12,22,2},{12,22,2},{12,17,2},{8,19,5},{8,19,5},{15,31,998},{15,27,459},{15,24,666},{15,23,470},{14,31,1598},{13,25,459},{13,23,3},
{12,21,651},{7,26,1526},{9,21,459},{16,31,442},{16,27,14},{17,23,51},{16,23,91},{29,1,1514},{12,26,425},{13,23,2},{7,21,434},{27,16,1514},{7,21,434},{15,29,433},{15,29,433},{15,29,433},{15,22,433},{13,28,339},{13,23,2},{13,23,2},{13,19,42},{8,23,339},{9,20,21},{16,27,10},{16,27,10},{16,27,10},{16,21,13},{27,0,338},{13,23,1},{13,23,1},{9,20,17},{30,12,338},
{9,20,17},{31,2,421},{16,27,5},{18,23,1},{13,23,1},{31,2,421},{30,17,421},{13,23,1},{0,21,433},{30,17,421},{0,21,433},{15,0,433},{15,0,433},{15,0,433},{15,0,433},{13,23,2},{13,23,2},{13,23,2},{13,18,2},{9,20,5},{9,20,5},{16,31,1086},{16,28,461},{16,24,670},{16,24,494},{15,31,1622},{14,26,459},{14,24,3},{13,22,651},{8,27,1530},{10,22,459},{18,31,446},
{17,28,14},{18,24,50},{17,24,90},{31,0,1514},{13,27,425},{14,24,2},{8,22,434},{30,16,1514},{8,22,434},{16,30,446},{16,30,446},{16,30,446},{16,23,446},{14,29,339},{14,24,3},{14,24,3},{14,20,42},{9,24,339},{10,21,21},{17,28,10},{17,28,10},{17,28,10},{17,22,13},{28,1,338},{14,24,2},{14,24,2},{12,20,16},{31,13,338},{12,20,16},{31,5,421},{17,28,5},{19,24,1},
{14,24,1},{31,5,421},{31,18,421},{14,24,1},{0,22,433},{31,18,421},{0,22,433},{16,0,445},{16,0,445},{16,0,445},{16,0,445},{14,24,2},{14,24,2},{14,24,2},{14,19,2},{10,21,5},{10,21,5},{18,31,1242},{17,30,458},{17,26,678},{17,25,470},{16,31,1703},{15,27,461},{15,25,5},{14,23,653},{9,28,1526},{11,23,461},{19,31,461},{18,29,17},{19,25,53},{18,25,81},{31,3,1517},
{14,28,422},{15,25,5},{10,23,446},{31,17,1517},{10,23,446},{17,31,433},{17,31,433},{17,31,433},{17,24,433},{15,30,340},{15,25,4},{15,25,4},{15,21,41},{10,25,340},{12,22,19},{19,27,16},{19,27,16},{19,27,16},{19,23,16},{28,4,338},{15,25,4},{15,25,4},{12,22,10},{28,16,338},{12,22,10},{31,8,421},{18,29,1},{20,25,1},{15,25,1},{31,8,421},{30,20,421},{15,25,1},
{0,23,445},{30,20,421},{0,23,445},{17,0,433},{17,0,433},{17,0,433},{17,0,433},{15,26,1},{15,26,1},{15,26,1},{15,20,1},{12,22,10},{12,22,10},{19,31,1326},{18,31,458},{18,27,678},{18,26,470},{17,31,1838},{16,28,459},{16,26,3},{15,24,666},{10,29,1526},{12,24,459},{20,31,506},{19,30,17},{20,26,51},{19,26,81},{28,12,1514},{15,29,422},{16,26,2},{10,24,434},{28,20,1514},
{10,24,434},{18,31,442},{18,31,442},{18,31,442},{18,25,433},{16,31,339},{16,26,2},{16,26,2},{16,22,42},{11,26,340},{12,23,14},{19,30,16},{19,30,16},{19,30,16},{19,24,20},{29,5,338},{16,26,1},{16,26,1},{12,23,10},{31,16,338},{12,23,10},{31,11,421},{19,30,1},{21,26,1},{16,26,1},{31,11,421},{31,21,421},{16,26,1},{0,24,433},{31,21,421},{0,24,433},{18,0,433},
{18,0,433},{18,0,433},{18,0,433},{16,26,2},{16,26,2},{16,26,2},{16,21,2},{12,23,5},{12,23,5},{20,31,1470},{19,31,459},{19,28,666},{19,27,470},{19,31,1911},{17,29,459},{17,27,3},{16,25,651},{11,30,1526},{13,25,459},{21,31,590},{20,31,14},{21,27,51},{20,27,91},{29,13,1514},{16,30,425},{17,27,2},{11,25,434},{31,20,1514},{11,25,434},{19,31,458},{19,31,458},{19,31,458},
{19,26,433},{17,31,357},{17,27,2},{17,27,2},{17,23,42},{12,27,339},{13,24,21},{20,31,10},{20,31,10},{20,31,10},{20,25,13},{31,4,338},{17,27,1},{17,27,1},{13,24,17},{30,18,338},{13,24,17},{31,14,421},{20,31,5},{22,27,1},{17,27,1},{31,14,421},{30,23,421},{17,27,1},{0,25,433},{30,23,421},{0,25,433},{19,0,433},{19,0,433},{19,0,433},{19,0,433},{17,27,2},
{17,27,2},{17,27,2},{17,22,2},{13,24,5},{13,24,5},{21,31,1650},{20,31,530},{20,28,670},{20,28,494},{20,31,2030},{18,30,459},{18,28,3},{17,26,651},{12,31,1530},{14,26,459},{23,31,650},{21,31,29},{22,28,50},{21,28,90},{31,12,1514},{17,31,425},{18,28,2},{12,26,434},{30,22,1514},{12,26,434},{20,31,494},{20,31,494},{20,31,494},{20,27,446},{18,31,411},{18,28,3},{18,28,3},
{18,24,42},{13,28,339},{14,25,21},{21,31,13},{21,31,13},{21,31,13},{21,26,13},{31,7,338},{18,28,2},{18,28,2},{16,24,16},{31,19,338},{16,24,16},{31,17,421},{22,31,10},{23,28,1},{18,28,1},{31,17,421},{31,24,421},{18,28,1},{0,26,433},{31,24,421},{0,26,433},{20,0,445},{20,0,445},{20,0,445},{20,0,445},{18,28,2},{18,28,2},{18,28,2},{18,23,2},{14,25,5},
{14,25,5},{22,31,1902},{21,31,723},{21,30,678},{21,29,470},{21,31,2235},{19,31,461},{19,29,5},{18,27,653},{14,31,1587},{15,27,461},{24,31,734},{23,31,65},{23,29,53},{22,29,81},{31,15,1517},{19,31,461},{19,29,5},{14,27,446},{31,23,1517},{14,27,446},{21,31,554},{21,31,554},{21,31,554},{21,28,433},{20,31,437},{19,29,4},{19,29,4},{19,25,41},{14,29,340},{16,26,19},{23,31,16},
{23,31,16},{23,31,16},{23,27,16},{28,16,338},{19,29,4},{19,29,4},{16,26,10},{24,24,338},{16,26,10},{31,20,421},{23,31,49},{24,29,1},{19,29,1},{31,20,421},{30,26,421},{19,29,1},{0,27,445},{30,26,421},{0,27,445},{21,0,433},{21,0,433},{21,0,433},{21,0,433},{19,30,1},{19,30,1},{19,30,1},{19,24,1},{16,26,10},{16,26,10},{23,31,2074},{23,31,930},{22,31,678},
{22,30,470},{23,31,2382},{20,31,570},{20,30,3},{19,28,666},{16,31,1703},{16,28,459},{25,31,854},{24,31,173},{24,30,51},{23,30,81},{28,24,1514},{21,31,554},{20,30,2},{14,28,434},{24,28,1514},{14,28,434},{22,31,629},{22,31,629},{22,31,629},{22,29,433},{21,31,491},{20,30,2},{20,30,2},{20,26,42},{15,30,340},{16,27,14},{24,31,29},{24,31,29},{24,31,29},{23,28,20},{29,17,338},
{20,30,1},{20,30,1},{16,27,10},{27,24,338},{16,27,10},{31,23,421},{25,31,109},{25,30,1},{20,30,1},{31,23,421},{31,27,421},{20,30,1},{0,28,433},{31,27,421},{0,28,433},{22,0,433},{22,0,433},{22,0,433},{22,0,433},{20,30,2},{20,30,2},{20,30,2},{20,25,2},{16,27,5},{16,27,5},{24,31,2229},{24,31,1146},{23,31,689},{23,31,469},{24,31,2476},{22,31,731},{21,31,2},
{20,29,618},{18,31,1805},{17,29,426},{26,31,953},{25,31,339},{25,31,50},{24,30,82},{29,25,1459},{23,31,620},{21,31,1},{15,29,401},{27,28,1459},{15,29,401},{23,31,689},{23,31,689},{23,31,689},{23,30,433},{22,31,581},{21,31,2},{21,31,2},{21,27,42},{16,31,339},{17,28,21},{25,31,50},{25,31,50},{25,31,50},{24,29,13},{31,16,338},{21,31,1},{21,31,1},{17,28,17},{30,24,338},
{17,28,17},{31,26,392},{27,31,157},{26,31,0},{21,31,0},{31,26,392},{30,29,392},{21,31,0},{0,29,400},{30,29,392},{0,29,400},{23,0,433},{23,0,433},{23,0,433},{23,0,433},{21,31,2},{21,31,2},{21,31,2},{21,26,2},{17,28,5},{17,28,5},{25,31,1943},{24,31,1130},{24,31,769},{24,31,446},{25,31,2103},{23,31,573},{22,31,42},{22,29,373},{20,31,1481},{18,30,234},{27,31,657},
{26,31,285},{26,31,89},{25,31,18},{31,23,1064},{24,31,426},{23,31,8},{16,30,209},{31,27,1064},{16,30,209},{24,31,769},{24,31,769},{24,31,769},{24,31,446},{23,31,661},{22,31,42},{22,31,42},{22,28,42},{18,31,365},{18,29,21},{26,31,89},{26,31,89},{26,31,89},{25,30,13},{31,19,338},{23,31,8},{23,31,8},{20,28,16},{31,25,338},{20,28,16},{31,27,202},{28,31,80},{27,31,4},
{24,31,1},{31,27,202},{31,29,202},{24,31,1},{0,30,208},{31,29,202},{0,30,208},{24,0,445},{24,0,445},{24,0,445},{24,0,445},{22,31,17},{22,31,17},{22,31,17},{22,27,2},{18,29,5},{18,29,5},{27,31,1710},{26,31,1126},{25,31,917},{25,31,469},{26,31,1779},{24,31,507},{24,31,146},{23,30,154},{22,31,1221},{20,30,83},{28,31,450},{27,31,258},{27,31,137},{27,31,16},{29,29,722},
{26,31,286},{25,31,52},{20,30,74},{31,28,722},{20,30,74},{25,31,917},{25,31,917},{25,31,917},{25,31,469},{25,31,789},{24,31,146},{24,31,146},{23,29,41},{20,31,446},{20,30,19},{27,31,137},{27,31,137},{27,31,137},{27,31,16},{28,28,338},{25,31,52},{25,31,52},{20,30,10},{28,28,338},{20,30,10},{31,29,61},{30,31,34},{29,31,0},{27,31,0},{31,29,61},{31,30,61},{27,31,0},
{0,30,73},{31,30,61},{0,30,73},{25,0,433},{25,0,433},{25,0,433},{25,0,433},{23,31,49},{23,31,49},{23,31,49},{23,28,1},{20,30,10},{20,30,10},{27,31,1486},{27,31,1123},{27,31,1002},{26,31,554},{27,31,1519},{25,31,582},{25,31,293},{24,30,106},{23,31,1090},{20,31,14},{29,31,354},{28,31,258},{28,31,194},{28,31,50},{31,27,509},{27,31,234},{27,31,113},{20,31,10},{31,29,509},
{20,31,10},{27,31,1002},{27,31,1002},{27,31,1002},{26,31,554},{26,31,915},{25,31,293},{25,31,293},{24,30,42},{22,31,564},{20,31,14},{28,31,194},{28,31,194},{28,31,194},{28,31,50},{29,29,338},{27,31,113},{27,31,113},{20,31,10},{31,28,338},{20,31,10},{31,30,9},{31,31,9},{30,31,9},{30,31,0},{31,30,9},{30,31,9},{30,31,0},{0,31,9},{30,31,9},{0,31,9},{26,0,433},
{26,0,433},{26,0,433},{26,0,433},{24,31,82},{24,31,82},{24,31,82},{24,29,2},{20,31,5},{20,31,5},{28,31,1197},{28,31,1005},{27,31,917},{27,31,554},{28,31,1213},{26,31,522},{26,31,326},{25,31,17},{24,31,870},{22,31,16},{30,31,241},{29,31,182},{29,31,146},{29,31,61},{31,28,297},{28,31,153},{28,31,89},{23,31,1},{30,30,297},{23,31,1},{27,31,917},{27,31,917},{27,31,917},
{27,31,554},{27,31,774},{26,31,326},{26,31,326},{25,31,17},{24,31,509},{22,31,16},{29,31,146},{29,31,146},{29,31,146},{29,31,61},{31,27,221},{28,31,89},{28,31,89},{23,31,1},{31,29,221},{23,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{27,0,433},{27,0,433},{27,0,433},{27,0,433},{26,31,130},
{26,31,130},{26,31,130},{25,30,2},{22,31,16},{22,31,16},{29,31,927},{28,31,765},{28,31,701},{28,31,509},{28,31,845},{27,31,404},{27,31,283},{26,31,2},{26,31,589},{24,31,52},{30,31,97},{30,31,70},{30,31,61},{30,31,34},{31,30,118},{30,31,67},{29,31,40},{26,31,1},{30,31,118},{26,31,1},{28,31,701},{28,31,701},{28,31,701},{28,31,509},{28,31,589},{27,31,283},{27,31,283},
{26,31,2},{25,31,386},{24,31,52},{30,31,61},{30,31,61},{30,31,61},{30,31,34},{31,29,85},{29,31,40},{29,31,40},{26,31,1},{31,30,85},{26,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{28,0,445},{28,0,445},{28,0,445},{28,0,445},{27,31,162},{27,31,162},{27,31,162},{26,31,2},{24,31,52},
{24,31,52},{0,14,884},{0,10,117},{0,7,10},{0,6,317},{0,10,1899},{0,6,1236},{0,6,573},{0,4,1438},{0,4,2065},{0,4,1559},{0,14,884},{0,10,117},{0,7,10},{0,6,317},{5,0,1899},{0,6,1236},{0,6,573},{0,4,1438},{10,0,1899},{0,4,1438},{0,7,1},{0,7,1},{0,7,1},{0,3,4},{0,3,164},{0,3,68},{0,3,68},{0,2,104},{0,2,189},{0,1,129},{0,7,1},
{0,7,1},{0,7,1},{0,3,4},{2,0,164},{0,3,68},{0,3,68},{0,2,104},{3,0,164},{0,2,104},{7,0,884},{0,10,117},{0,7,10},{0,6,317},{7,0,884},{14,0,884},{0,6,317},{0,5,890},{14,0,884},{0,5,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,17,884},{0,12,53},{0,8,20},
{0,7,265},{0,11,2360},{0,8,1384},{0,7,626},{0,5,1683},{0,5,2580},{0,5,1852},{0,17,884},{0,12,53},{0,8,20},{0,7,265},{6,0,2356},{0,8,1384},{0,7,626},{0,5,1683},{10,1,2356},{0,5,1683},{0,10,1},{0,10,1},{0,10,1},{0,5,1},{0,5,338},{0,4,137},{0,4,137},{0,2,200},{0,2,381},{0,2,225},{0,10,1},{0,10,1},{0,10,1},{0,5,1},{2,1,338},
{0,4,137},{0,4,137},{0,2,200},{5,0,338},{0,2,200},{8,1,884},{0,12,53},{1,8,5},{0,7,265},{8,1,884},{17,0,884},{0,7,265},{0,6,890},{17,0,884},{0,6,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,20,882},{0,14,16},{0,10,85},{0,8,200},{0,14,2904},{0,9,1530},{0,8,684},
{0,6,1978},{0,6,3220},{0,5,2172},{0,20,882},{0,14,16},{1,9,84},{0,8,200},{7,0,2904},{0,9,1530},{0,8,684},{0,6,1978},{14,0,2904},{0,6,1978},{0,12,1},{0,12,1},{0,12,1},{0,6,4},{0,6,580},{0,5,218},{0,5,218},{0,3,356},{0,3,644},{0,3,420},{0,12,1},{0,12,1},{0,12,1},{0,6,4},{3,0,580},{0,5,218},{0,5,218},{0,3,356},{6,0,580},
{0,3,356},{8,4,882},{0,14,16},{2,9,5},{0,8,200},{8,4,882},{20,0,882},{0,8,200},{0,7,890},{20,0,882},{0,7,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,23,918},{0,15,41},{1,11,153},{0,10,184},{0,16,3048},{0,11,1476},{0,9,473},{0,6,1950},{0,7,3517},{0,6,2206},{1,21,886},
{1,15,20},{1,11,89},{0,10,184},{8,0,3048},{0,11,1476},{0,9,473},{0,6,1950},{16,0,3048},{0,6,1950},{0,15,37},{0,15,37},{0,15,37},{0,8,40},{0,9,648},{0,7,185},{0,7,185},{0,4,337},{0,4,777},{0,4,458},{1,13,5},{1,13,5},{1,13,5},{1,7,8},{4,1,648},{0,7,185},{0,7,185},{0,4,337},{9,0,648},{0,4,337},{9,5,882},{0,15,5},{3,10,5},
{0,10,148},{9,5,882},{23,0,882},{0,10,148},{0,8,900},{23,0,882},{0,8,900},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,5},{0,1,5},{1,24,997},{1,17,123},{1,12,318},{1,11,243},{0,19,3051},{0,12,1278},{0,10,274},{0,8,1795},{0,9,3672},{0,7,2222},{2,22,885},{2,16,10},{2,12,101},{1,11,179},{10,0,3051},
{0,12,1278},{0,10,274},{0,8,1795},{19,0,3051},{0,8,1795},{1,17,114},{1,17,114},{1,17,114},{1,9,114},{0,12,648},{0,9,85},{0,9,85},{0,5,244},{0,5,889},{0,5,413},{2,15,1},{2,15,1},{2,15,1},{2,8,5},{4,4,648},{0,9,85},{0,9,85},{0,5,244},{12,0,648},{0,5,244},{13,0,884},{2,16,9},{4,11,10},{0,11,90},{13,0,884},{26,0,884},{0,11,90},
{0,9,890},{26,0,884},{0,9,890},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{0,2,50},{0,2,50},{1,27,1173},{1,18,314},{2,13,510},{1,12,374},{0,22,3051},{0,14,1139},{0,12,153},{0,9,1630},{0,10,3924},{0,8,2199},{3,23,885},{3,17,10},{3,13,101},{2,12,197},{11,0,3051},{0,14,1139},{0,12,153},{0,9,1630},{22,0,3051},
{0,9,1630},{1,20,290},{1,20,290},{1,20,290},{1,10,293},{0,15,648},{0,10,41},{0,10,41},{0,6,181},{0,7,1027},{0,6,437},{3,16,2},{3,16,2},{3,16,2},{3,9,5},{5,5,648},{0,10,41},{0,10,41},{0,6,181},{15,0,648},{0,6,181},{14,1,884},{3,17,9},{5,12,5},{0,12,53},{14,1,884},{29,0,884},{0,12,53},{0,10,890},{29,0,884},{0,10,890},{1,0,289},
{1,0,289},{1,0,289},{1,0,289},{0,8,1},{0,8,1},{0,8,1},{0,4,1},{0,3,113},{0,3,113},{2,28,1365},{2,19,506},{3,14,830},{2,13,566},{0,25,3051},{0,16,1051},{0,13,36},{0,10,1483},{0,12,4164},{0,9,2174},{4,24,886},{4,18,20},{4,14,89},{3,13,197},{12,1,3051},{0,16,1051},{0,13,36},{0,10,1483},{25,0,3051},{0,10,1483},{2,21,482},{2,21,482},{2,21,482},
{2,11,485},{0,18,648},{0,12,5},{0,12,5},{0,7,149},{0,8,1182},{0,7,510},{4,16,5},{4,16,5},{4,16,5},{4,10,8},{9,0,648},{0,12,5},{0,12,5},{0,7,149},{18,0,648},{0,7,149},{16,0,882},{3,19,10},{6,13,5},{0,13,20},{16,0,882},{24,4,882},{0,13,20},{0,11,890},{24,4,882},{0,11,890},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{0,11,1},
{0,11,1},{0,11,1},{0,6,1},{0,5,185},{0,5,185},{2,31,1669},{3,20,818},{3,15,1161},{2,14,838},{0,28,3048},{0,17,949},{0,14,6},{0,11,1395},{0,13,4381},{0,10,2228},{5,25,886},{5,19,20},{5,15,89},{4,14,184},{12,4,3048},{0,17,949},{0,14,6},{0,11,1395},{28,0,3048},{0,11,1395},{2,24,786},{2,24,786},{2,24,786},{2,13,786},{0,21,648},{0,14,2},{0,14,2},
{0,9,101},{0,9,1352},{0,8,590},{5,17,5},{5,17,5},{5,17,5},{5,11,8},{10,1,648},{0,14,2},{0,14,2},{0,9,101},{21,0,648},{0,9,101},{17,1,882},{4,19,5},{7,14,5},{0,14,5},{17,1,882},{27,4,882},{0,14,5},{0,12,900},{27,4,882},{0,12,900},{2,0,785},{2,0,785},{2,0,785},{2,0,785},{0,14,1},{0,14,1},{0,14,1},{0,7,1},{0,6,305},
{0,6,305},{3,31,1814},{3,22,968},{4,16,1314},{3,15,945},{1,29,3055},{0,19,936},{1,15,17},{0,12,1314},{0,15,4321},{0,12,2007},{6,26,885},{6,20,10},{6,16,101},{5,15,179},{15,2,3051},{0,19,900},{1,15,13},{0,12,1278},{31,0,3051},{0,12,1278},{3,25,900},{3,25,900},{3,25,900},{3,14,900},{1,22,654},{1,15,8},{1,15,8},{0,10,76},{0,11,1296},{0,9,425},{6,19,1},
{6,19,1},{6,19,1},{6,12,5},{12,0,648},{1,15,4},{1,15,4},{0,10,40},{24,0,648},{0,10,40},{19,0,884},{6,20,9},{8,15,10},{1,15,9},{19,0,884},{30,4,884},{1,15,9},{0,13,890},{30,4,884},{0,13,890},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{1,16,5},{1,16,5},{1,16,5},{1,8,8},{0,7,269},{0,7,269},{5,31,1838},{4,23,948},{5,17,1314},
{4,16,943},{2,30,3055},{1,20,936},{2,16,13},{1,13,1314},{0,16,4056},{0,13,1620},{7,27,885},{7,21,10},{7,17,101},{6,16,197},{17,0,3051},{0,21,891},{2,16,9},{0,13,1179},{30,2,3051},{0,13,1179},{4,26,891},{4,26,891},{4,26,891},{4,15,891},{2,23,654},{2,16,9},{2,16,9},{1,11,76},{0,13,1107},{0,10,273},{7,20,2},{7,20,2},{7,20,2},{7,13,5},{13,1,648},
{3,15,5},{3,15,5},{0,11,20},{27,0,648},{0,11,20},{20,1,884},{7,21,9},{9,16,5},{2,16,5},{20,1,884},{31,5,884},{2,16,5},{0,14,890},{31,5,884},{0,14,890},{4,0,890},{4,0,890},{4,0,890},{4,0,890},{2,17,5},{2,17,5},{2,17,5},{2,9,8},{0,9,149},{0,9,149},{6,31,1868},{5,24,948},{6,18,1314},{5,17,943},{3,31,3055},{2,21,936},{3,17,13},
{2,14,1314},{0,18,3825},{0,14,1354},{8,28,886},{8,22,20},{8,18,89},{7,17,197},{18,1,3051},{1,22,891},{3,17,9},{0,14,1098},{31,3,3051},{0,14,1098},{5,27,891},{5,27,891},{5,27,891},{5,16,891},{3,24,652},{3,17,9},{3,17,9},{2,12,86},{0,14,976},{0,12,126},{8,20,5},{8,20,5},{8,20,5},{8,14,8},{15,0,648},{4,16,5},{4,16,5},{0,12,5},{30,0,648},
{0,12,5},{20,4,882},{7,23,10},{10,17,5},{3,17,5},{20,4,882},{28,8,882},{3,17,5},{0,15,890},{28,8,882},{0,15,890},{5,0,890},{5,0,890},{5,0,890},{5,0,890},{3,18,5},{3,18,5},{3,18,5},{3,10,8},{0,11,80},{0,11,80},{7,31,1908},{6,25,948},{7,19,1314},{6,18,943},{4,31,3084},{3,22,936},{4,18,15},{3,15,1314},{0,19,3640},{0,15,1175},{9,29,886},
{9,23,20},{9,19,89},{8,18,184},{20,0,3048},{2,23,891},{4,18,6},{0,15,1054},{24,8,3048},{0,15,1054},{6,28,891},{6,28,891},{6,28,891},{6,17,891},{4,25,657},{4,18,11},{4,18,11},{3,13,86},{0,16,852},{0,13,27},{9,21,5},{9,21,5},{9,21,5},{9,15,8},{16,1,648},{4,18,2},{4,18,2},{0,13,2},{31,1,648},{0,13,2},{21,5,882},{8,23,5},{11,18,5},
{4,18,5},{21,5,882},{31,8,882},{4,18,5},{0,16,900},{31,8,882},{0,16,900},{6,0,890},{6,0,890},{6,0,890},{6,0,890},{4,18,10},{4,18,10},{4,18,10},{4,11,10},{0,13,26},{0,13,26},{8,31,1998},{7,26,968},{8,20,1314},{7,19,945},{6,31,3160},{4,23,936},{5,19,17},{4,16,1314},{0,21,3420},{0,16,1028},{10,30,885},{10,24,10},{10,20,101},{9,19,179},{22,0,3051},
{3,24,891},{5,19,13},{0,16,1003},{30,7,3051},{0,16,1003},{7,29,900},{7,29,900},{7,29,900},{7,18,900},{5,26,654},{5,19,8},{5,19,8},{4,14,76},{0,18,750},{1,14,24},{10,23,1},{10,23,1},{10,23,1},{10,16,5},{16,4,648},{5,19,4},{5,19,4},{2,14,5},{28,4,648},{2,14,5},{25,0,884},{10,24,9},{12,19,10},{5,19,9},{25,0,884},{30,10,884},{5,19,9},
{0,17,890},{30,10,884},{0,17,890},{7,0,900},{7,0,900},{7,0,900},{7,0,900},{5,20,5},{5,20,5},{5,20,5},{5,12,8},{0,15,5},{0,15,5},{9,31,2124},{8,27,948},{9,21,1314},{8,20,943},{7,31,3196},{5,24,936},{6,20,13},{5,17,1314},{0,23,3307},{0,17,971},{11,31,885},{11,25,10},{11,21,101},{10,20,197},{23,0,3051},{4,25,891},{6,20,9},{0,17,970},{30,8,3051},
{0,17,970},{8,30,891},{8,30,891},{8,30,891},{8,19,891},{6,27,654},{6,20,9},{6,20,9},{5,15,76},{0,19,691},{2,15,24},{11,24,2},{11,24,2},{11,24,2},{11,17,5},{17,5,648},{7,19,5},{7,19,5},{3,15,5},{31,4,648},{3,15,5},{26,1,884},{11,25,9},{13,20,5},{6,20,5},{26,1,884},{31,11,884},{6,20,5},{0,18,890},{31,11,884},{0,18,890},{8,0,890},
{8,0,890},{8,0,890},{8,0,890},{6,21,5},{6,21,5},{6,21,5},{6,13,8},{1,16,5},{1,16,5},{10,31,2286},{9,28,948},{10,22,1314},{9,21,943},{8,31,3277},{6,25,936},{7,21,13},{6,18,1314},{0,24,3196},{0,19,948},{12,31,904},{12,26,20},{12,22,89},{11,21,197},{24,1,3051},{5,26,891},{7,21,9},{0,19,939},{31,9,3051},{0,19,939},{9,31,891},{9,31,891},{9,31,891},
{9,20,891},{7,28,652},{7,21,9},{7,21,9},{6,16,86},{0,21,652},{2,16,18},{12,24,5},{12,24,5},{12,24,5},{12,18,8},{21,0,648},{8,20,5},{8,20,5},{3,16,2},{30,6,648},{3,16,2},{28,0,882},{11,27,10},{14,21,5},{7,21,5},{28,0,882},{24,16,882},{7,21,5},{0,19,890},{24,16,882},{0,19,890},{9,0,890},{9,0,890},{9,0,890},{9,0,890},{7,22,5},
{7,22,5},{7,22,5},{7,14,8},{2,17,5},{2,17,5},{11,31,2414},{10,29,948},{11,23,1314},{10,22,943},{9,31,3412},{7,26,936},{8,22,15},{7,19,1314},{0,26,3115},{1,20,958},{13,31,958},{13,27,20},{13,23,89},{12,22,184},{24,4,3048},{6,27,891},{8,22,6},{0,20,925},{28,12,3048},{0,20,925},{10,31,894},{10,31,894},{10,31,894},{10,21,891},{8,29,657},{8,22,11},{8,22,11},
{7,17,86},{1,22,652},{3,17,18},{13,25,5},{13,25,5},{13,25,5},{13,19,8},{22,1,648},{8,22,2},{8,22,2},{4,17,2},{31,7,648},{4,17,2},{29,1,882},{12,27,5},{15,22,5},{8,22,5},{29,1,882},{27,16,882},{8,22,5},{0,20,900},{27,16,882},{0,20,900},{10,0,890},{10,0,890},{10,0,890},{10,0,890},{8,22,10},{8,22,10},{8,22,10},{8,15,10},{3,18,5},
{3,18,5},{13,31,2606},{11,30,968},{12,24,1314},{11,23,945},{11,31,3519},{8,27,936},{9,23,17},{8,20,1314},{0,28,3085},{2,21,942},{15,31,995},{14,28,10},{14,24,101},{13,23,179},{27,2,3051},{7,28,891},{9,23,13},{0,21,891},{31,12,3051},{0,21,891},{11,31,925},{11,31,925},{11,31,925},{11,22,900},{9,30,654},{9,23,8},{9,23,8},{8,18,76},{2,23,651},{5,18,24},{14,27,1},
{14,27,1},{14,27,1},{14,20,5},{24,0,648},{9,23,4},{9,23,4},{6,18,5},{24,12,648},{6,18,5},{31,0,884},{14,28,9},{16,23,10},{9,23,9},{31,0,884},{30,16,884},{9,23,9},{0,21,890},{30,16,884},{0,21,890},{11,0,900},{11,0,900},{11,0,900},{11,0,900},{9,24,5},{9,24,5},{9,24,5},{9,16,8},{4,19,5},{4,19,5},{14,31,2804},{12,31,948},{13,25,1314},
{12,24,943},{12,31,3652},{9,28,936},{10,24,13},{9,21,1314},{0,29,3052},{3,22,942},{16,31,1054},{15,29,10},{15,25,101},{14,24,197},{29,0,3051},{8,29,891},{10,24,9},{1,22,891},{30,14,3051},{1,22,891},{12,31,939},{12,31,939},{12,31,939},{12,23,891},{10,31,654},{10,24,9},{10,24,9},{9,19,76},{3,24,652},{6,19,24},{15,28,2},{15,28,2},{15,28,2},{15,21,5},{25,1,648},
{11,23,5},{11,23,5},{7,19,5},{27,12,648},{7,19,5},{31,3,884},{15,29,9},{17,24,5},{10,24,5},{31,3,884},{31,17,884},{10,24,5},{0,22,890},{31,17,884},{0,22,890},{12,0,890},{12,0,890},{12,0,890},{12,0,890},{10,25,5},{10,25,5},{10,25,5},{10,17,8},{5,20,5},{5,20,5},{15,31,2956},{14,31,979},{14,26,1314},{13,25,943},{13,31,3841},{10,29,936},{11,25,13},
{10,22,1314},{1,30,3052},{4,23,948},{17,31,1144},{16,30,20},{16,26,89},{15,25,197},{30,1,3051},{9,30,891},{11,25,9},{2,23,891},{31,15,3051},{2,23,891},{14,31,979},{14,31,979},{14,31,979},{13,24,891},{11,31,670},{11,25,9},{11,25,9},{10,20,86},{4,25,652},{6,20,18},{16,28,5},{16,28,5},{16,28,5},{16,22,8},{27,0,648},{12,24,5},{12,24,5},{7,20,2},{30,12,648},
{7,20,2},{28,12,882},{15,31,10},{18,25,5},{11,25,5},{28,12,882},{28,20,882},{11,25,5},{0,23,890},{28,20,882},{0,23,890},{13,0,890},{13,0,890},{13,0,890},{13,0,890},{11,26,5},{11,26,5},{11,26,5},{11,18,8},{6,21,5},{6,21,5},{16,31,3182},{15,31,1028},{15,27,1314},{14,26,943},{15,31,4020},{11,30,936},{12,26,15},{11,23,1314},{2,31,3052},{5,24,958},{18,31,1270},
{17,31,20},{17,27,89},{16,26,184},{28,8,3048},{10,31,891},{12,26,6},{2,24,901},{24,20,3048},{2,24,901},{15,31,1003},{15,31,1003},{15,31,1003},{14,25,891},{12,31,707},{12,26,11},{12,26,11},{11,21,86},{5,26,652},{7,21,18},{17,29,5},{17,29,5},{17,29,5},{17,23,8},{28,1,648},{12,26,2},{12,26,2},{8,21,2},{31,13,648},{8,21,2},{29,13,882},{16,31,5},{19,26,5},
{12,26,5},{29,13,882},{31,20,882},{12,26,5},{0,24,900},{31,20,882},{0,24,900},{14,0,890},{14,0,890},{14,0,890},{14,0,890},{12,26,10},{12,26,10},{12,26,10},{12,19,10},{7,22,5},{7,22,5},{17,31,3508},{16,31,1175},{16,28,1314},{15,27,945},{16,31,4209},{12,31,936},{13,27,17},{12,24,1314},{4,31,3100},{6,25,942},{20,31,1368},{18,31,37},{18,28,101},{17,27,179},{31,6,3051},
{12,31,900},{13,27,13},{4,25,891},{30,19,3051},{4,25,891},{16,31,1054},{16,31,1054},{16,31,1054},{15,26,900},{14,31,780},{13,27,8},{13,27,8},{12,22,76},{6,27,651},{9,22,24},{18,31,1},{18,31,1},{18,31,1},{18,24,5},{28,4,648},{13,27,4},{13,27,4},{10,22,5},{28,16,648},{10,22,5},{31,12,884},{18,31,36},{20,27,10},{13,27,9},{31,12,884},{30,22,884},{13,27,9},
{0,25,890},{30,22,884},{0,25,890},{15,0,900},{15,0,900},{15,0,900},{15,0,900},{13,28,5},{13,28,5},{13,28,5},{13,20,8},{8,23,5},{8,23,5},{19,31,3790},{17,31,1412},{17,29,1314},{16,28,943},{17,31,4452},{14,31,954},{14,28,13},{13,25,1314},{7,31,3196},{7,26,942},{21,31,1494},{19,31,126},{19,29,101},{18,28,197},{31,8,3051},{14,31,950},{14,28,9},{5,26,891},{30,20,3051},
{5,26,891},{17,31,1123},{17,31,1123},{17,31,1123},{16,27,891},{15,31,820},{14,28,9},{14,28,9},{13,23,76},{7,28,652},{10,23,24},{19,31,5},{19,31,5},{19,31,5},{19,25,5},{29,5,648},{15,27,5},{15,27,5},{11,23,5},{31,16,648},{11,23,5},{31,15,884},{20,31,80},{21,28,5},{14,28,5},{31,15,884},{31,23,884},{14,28,5},{0,26,890},{31,23,884},{0,26,890},{16,0,890},
{16,0,890},{16,0,890},{16,0,890},{14,29,5},{14,29,5},{14,29,5},{14,21,8},{9,24,5},{9,24,5},{20,31,4072},{18,31,1694},{18,30,1314},{17,29,943},{19,31,4705},{15,31,1064},{15,29,13},{14,26,1314},{8,31,3355},{8,27,948},{22,31,1656},{20,31,276},{20,30,89},{19,29,197},{31,11,3051},{16,31,1054},{15,29,9},{6,27,891},{31,21,3051},{6,27,891},{18,31,1210},{18,31,1210},{18,31,1210},
{17,28,891},{16,31,897},{15,29,9},{15,29,9},{14,24,86},{8,29,652},{10,24,18},{20,31,20},{20,31,20},{20,31,20},{20,26,8},{31,4,648},{16,28,5},{16,28,5},{11,24,2},{30,18,648},{11,24,2},{28,24,882},{22,31,157},{22,29,5},{15,29,5},{28,24,882},{24,28,882},{15,29,5},{0,27,890},{24,28,882},{0,27,890},{17,0,890},{17,0,890},{17,0,890},{17,0,890},{15,30,5},
{15,30,5},{15,30,5},{15,22,8},{10,25,5},{10,25,5},{21,31,4390},{19,31,2007},{19,31,1314},{18,30,943},{20,31,4932},{16,31,1287},{16,30,15},{15,27,1314},{11,31,3547},{9,28,958},{23,31,1784},{22,31,465},{21,31,89},{20,30,184},{28,20,3048},{18,31,1188},{16,30,6},{6,28,901},{28,24,3048},{6,28,901},{19,31,1278},{19,31,1278},{19,31,1278},{18,29,891},{17,31,1011},{16,30,11},{16,30,11},
{15,25,86},{9,30,652},{11,25,18},{21,31,53},{21,31,53},{21,31,53},{21,27,8},{31,7,648},{16,30,2},{16,30,2},{12,25,2},{31,19,648},{12,25,2},{29,25,882},{24,31,269},{23,30,5},{16,30,5},{29,25,882},{27,28,882},{16,30,5},{0,28,900},{27,28,882},{0,28,900},{18,0,890},{18,0,890},{18,0,890},{18,0,890},{16,30,10},{16,30,10},{16,30,10},{16,23,10},{11,26,5},
{11,26,5},{22,31,4471},{20,31,2295},{20,31,1395},{19,31,936},{21,31,4906},{18,31,1414},{17,31,8},{16,28,1161},{13,31,3570},{11,28,818},{24,31,1769},{23,31,590},{23,31,106},{22,30,146},{29,21,2814},{19,31,1206},{17,31,4},{8,29,786},{31,24,2814},{8,29,786},{20,31,1395},{20,31,1395},{20,31,1395},{19,30,900},{19,31,1134},{17,31,8},{17,31,8},{16,26,76},{10,31,651},{13,26,24},{23,31,106},
{23,31,106},{23,31,106},{22,28,5},{28,16,648},{17,31,4},{17,31,4},{14,26,5},{24,24,648},{14,26,5},{31,24,761},{26,31,317},{24,31,1},{17,31,0},{31,24,761},{30,28,761},{17,31,0},{0,29,785},{30,28,761},{0,29,785},{19,0,900},{19,0,900},{19,0,900},{19,0,900},{17,31,8},{17,31,8},{17,31,8},{17,24,8},{12,27,5},{12,27,5},{23,31,3955},{22,31,2260},{21,31,1530},
{20,31,891},{22,31,4375},{19,31,1194},{18,31,54},{17,28,805},{15,31,3075},{12,29,498},{25,31,1417},{24,31,510},{24,31,149},{23,30,74},{31,19,2249},{21,31,937},{19,31,5},{11,29,482},{31,25,2249},{11,29,482},{21,31,1530},{21,31,1530},{21,31,1530},{20,31,891},{20,31,1251},{18,31,54},{18,31,54},{17,27,76},{12,31,691},{14,27,24},{24,31,149},{24,31,149},{24,31,149},{23,29,5},{29,17,648},
{19,31,5},{19,31,5},{15,27,5},{27,24,648},{15,27,5},{29,29,481},{27,31,202},{25,31,4},{20,31,1},{29,29,481},{31,28,481},{20,31,1},{0,29,481},{31,28,481},{0,29,481},{20,0,890},{20,0,890},{20,0,890},{20,0,890},{18,31,29},{18,31,29},{18,31,29},{18,25,8},{13,28,5},{13,28,5},{24,31,3609},{23,31,2199},{22,31,1683},{21,31,915},{23,31,3827},{20,31,1071},{19,31,153},
{18,29,485},{16,31,2690},{13,30,306},{26,31,1133},{25,31,489},{25,31,200},{24,31,20},{29,25,1769},{22,31,710},{21,31,41},{12,30,290},{27,28,1769},{12,30,290},{22,31,1683},{22,31,1683},{22,31,1683},{21,31,915},{21,31,1401},{19,31,153},{19,31,153},{18,28,86},{14,31,769},{14,28,18},{25,31,200},{25,31,200},{25,31,200},{24,30,8},{31,16,648},{21,31,41},{21,31,41},{15,28,2},{30,24,648},
{15,28,2},{31,27,265},{28,31,113},{27,31,1},{23,31,1},{31,27,265},{31,29,265},{23,31,1},{0,30,289},{31,29,265},{0,30,289},{21,0,890},{21,0,890},{21,0,890},{21,0,890},{19,31,53},{19,31,53},{19,31,53},{19,26,8},{14,29,5},{14,29,5},{24,31,3305},{24,31,2222},{23,31,1795},{22,31,990},{24,31,3438},{22,31,1087},{21,31,306},{19,30,293},{18,31,2403},{15,30,118},{27,31,857},
{26,31,465},{26,31,269},{25,31,8},{31,23,1374},{24,31,546},{23,31,98},{14,30,114},{31,27,1374},{14,30,114},{23,31,1795},{23,31,1795},{23,31,1795},{22,31,990},{22,31,1587},{21,31,306},{21,31,306},{19,29,86},{16,31,897},{15,29,18},{26,31,269},{26,31,269},{26,31,269},{25,31,8},{31,19,648},{23,31,98},{23,31,98},{16,29,2},{31,25,648},{16,29,2},{31,28,113},{29,31,52},{28,31,1},
{26,31,1},{31,28,113},{30,30,113},{26,31,1},{0,30,113},{30,30,113},{0,30,113},{22,0,890},{22,0,890},{22,0,890},{22,0,890},{20,31,90},{20,31,90},{20,31,90},{20,27,10},{15,30,5},{15,30,5},{25,31,3092},{25,31,2292},{24,31,1978},{24,31,1123},{25,31,3124},{23,31,1068},{22,31,525},{20,30,140},{20,31,2196},{16,31,41},{28,31,680},{27,31,458},{27,31,337},{26,31,65},{29,29,1032},
{26,31,456},{24,31,185},{16,31,37},{31,28,1032},{16,31,37},{24,31,1978},{24,31,1978},{24,31,1978},{24,31,1123},{24,31,1769},{22,31,525},{22,31,525},{20,30,76},{18,31,1080},{17,30,24},{27,31,337},{27,31,337},{27,31,337},{26,31,65},{28,28,648},{24,31,185},{24,31,185},{18,30,5},{28,28,648},{18,30,5},{31,30,18},{30,31,9},{30,31,0},{29,31,0},{31,30,18},{30,31,18},{29,31,0},
{0,31,36},{30,31,18},{0,31,36},{23,0,900},{23,0,900},{23,0,900},{23,0,900},{22,31,164},{22,31,164},{22,31,164},{21,28,8},{16,31,5},{16,31,5},{27,31,2818},{26,31,2254},{25,31,2043},{25,31,1243},{26,31,2829},{24,31,1099},{23,31,684},{21,31,72},{22,31,2007},{18,31,20},{29,31,566},{28,31,420},{28,31,356},{27,31,122},{31,27,771},{27,31,386},{26,31,232},{19,31,1},{31,29,771},
{19,31,1},{25,31,2043},{25,31,2043},{25,31,2043},{25,31,1243},{25,31,1819},{23,31,684},{23,31,684},{21,31,72},{20,31,1172},{18,31,20},{28,31,356},{28,31,356},{28,31,356},{27,31,122},{31,25,578},{26,31,232},{26,31,232},{19,31,1},{27,30,578},{19,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{24,0,890},
{24,0,890},{24,0,890},{24,0,890},{23,31,200},{23,31,200},{23,31,200},{22,29,8},{18,31,20},{18,31,20},{27,31,2242},{27,31,1879},{26,31,1738},{26,31,1150},{27,31,2209},{24,31,987},{24,31,626},{23,31,20},{23,31,1560},{19,31,53},{29,31,342},{29,31,257},{29,31,221},{28,31,68},{31,28,452},{28,31,228},{27,31,137},{22,31,1},{30,30,452},{22,31,1},{26,31,1738},{26,31,1738},{26,31,1738},
{26,31,1150},{25,31,1499},{24,31,626},{24,31,626},{23,31,20},{22,31,950},{19,31,53},{29,31,221},{29,31,221},{29,31,221},{28,31,68},{31,26,340},{27,31,137},{27,31,137},{22,31,1},{30,29,340},{22,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{25,0,890},{25,0,890},{25,0,890},{25,0,890},{24,31,265},
{24,31,265},{24,31,265},{23,30,8},{19,31,53},{19,31,53},{28,31,1844},{27,31,1559},{27,31,1438},{27,31,1075},{27,31,1713},{26,31,853},{25,31,635},{24,31,10},{24,31,1207},{21,31,125},{30,31,172},{30,31,145},{29,31,125},{29,31,40},{31,29,216},{29,31,121},{28,31,68},{24,31,1},{31,30,216},{24,31,1},{27,31,1438},{27,31,1438},{27,31,1438},{27,31,1075},{27,31,1229},{25,31,635},{25,31,635},
{24,31,10},{23,31,756},{21,31,125},{29,31,125},{29,31,125},{29,31,125},{29,31,40},{31,28,164},{28,31,68},{28,31,68},{24,31,1},{30,30,164},{24,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{26,0,890},{26,0,890},{26,0,890},{26,0,890},{25,31,346},{25,31,346},{25,31,346},{24,31,10},{21,31,125},
{21,31,125},{0,19,1568},{0,13,202},{0,10,13},{0,8,596},{0,13,3371},{0,9,2162},{0,8,1080},{0,5,2539},{0,6,3648},{0,5,2708},{0,19,1568},{0,13,202},{0,10,13},{0,8,596},{6,1,3371},{0,9,2162},{0,8,1080},{0,5,2539},{13,0,3371},{0,5,2539},{0,9,0},{0,9,0},{0,9,0},{0,4,4},{0,4,290},{0,4,125},{0,4,125},{0,2,164},{0,2,321},{0,2,189},{0,9,0},
{0,9,0},{0,9,0},{0,4,4},{2,1,290},{0,4,125},{0,4,125},{0,2,164},{4,0,290},{0,2,164},{9,1,1568},{0,13,202},{0,10,13},{0,8,596},{9,1,1568},{19,0,1568},{0,8,596},{0,6,1586},{19,0,1568},{0,6,1586},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,22,1568},{0,15,117},{0,11,8},
{0,9,485},{0,15,3971},{0,10,2369},{0,9,1061},{0,6,2834},{0,7,4341},{0,6,3090},{0,22,1568},{0,15,117},{0,11,8},{0,9,485},{7,1,3968},{0,10,2369},{0,9,1061},{0,6,2834},{11,2,3968},{0,6,2834},{0,12,1},{0,12,1},{0,12,1},{0,6,0},{0,6,512},{0,5,194},{0,5,194},{0,3,320},{0,3,576},{0,2,381},{0,12,1},{0,12,1},{0,12,1},{0,6,0},{3,0,512},
{0,5,194},{0,5,194},{0,3,320},{6,0,512},{0,3,320},{11,0,1568},{0,15,117},{0,11,8},{0,9,485},{11,0,1568},{22,0,1568},{0,9,485},{0,7,1586},{22,0,1568},{0,7,1586},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,25,1568},{0,17,45},{0,12,58},{0,10,392},{0,17,4652},{0,11,2596},{0,10,1121},
{0,7,3254},{0,8,5140},{0,6,3570},{0,25,1568},{0,17,45},{0,12,58},{0,10,392},{8,1,4652},{0,11,2596},{0,10,1121},{0,7,3254},{17,0,4652},{0,7,3254},{0,15,1},{0,15,1},{0,15,1},{0,7,4},{0,7,802},{0,6,320},{0,6,320},{0,3,512},{0,3,896},{0,3,576},{0,15,1},{0,15,1},{0,15,1},{0,7,4},{3,2,802},{0,6,320},{0,6,320},{0,3,512},{7,0,802},
{0,3,512},{12,1,1568},{0,17,45},{1,12,13},{0,10,392},{12,1,1568},{25,0,1568},{0,10,392},{0,8,1576},{25,0,1568},{0,8,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,28,1570},{0,19,16},{0,13,178},{0,11,340},{0,19,5424},{0,13,2843},{0,11,1240},{0,8,3704},{0,9,6003},{0,7,4095},{0,28,1570},
{0,19,16},{1,13,122},{0,11,340},{7,5,5419},{0,13,2843},{0,11,1240},{0,8,3704},{15,2,5419},{0,8,3704},{0,18,1},{0,18,1},{0,18,1},{0,9,1},{0,9,1152},{0,7,461},{0,7,461},{0,4,709},{0,4,1281},{0,4,830},{0,18,1},{0,18,1},{0,18,1},{0,9,1},{4,1,1152},{0,7,461},{0,7,461},{0,4,709},{9,0,1152},{0,4,709},{14,0,1568},{0,19,16},{2,13,13},
{0,11,340},{14,0,1568},{26,1,1568},{0,11,340},{0,9,1576},{26,1,1568},{0,9,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,29,1633},{1,20,75},{1,14,265},{0,13,313},{0,22,5419},{0,14,2571},{0,12,853},{0,9,3410},{0,10,6244},{0,9,3986},{1,29,1569},{1,20,11},{2,14,117},{0,13,313},{11,0,5419},
{0,14,2571},{0,12,853},{0,9,3410},{22,0,5419},{0,9,3410},{1,19,65},{1,19,65},{1,19,65},{1,10,65},{0,12,1152},{0,9,289},{0,9,289},{0,5,580},{0,5,1393},{0,5,749},{1,19,1},{1,19,1},{1,19,1},{1,10,1},{4,4,1152},{0,9,289},{0,9,289},{0,5,580},{12,0,1152},{0,5,580},{13,5,1568},{0,21,4},{3,14,13},{0,13,232},{13,5,1568},{31,0,1568},{0,13,232},
{0,10,1586},{31,0,1568},{0,10,1586},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,3,1},{0,3,1},{0,3,1},{0,2,1},{0,1,20},{0,1,20},{1,31,1731},{1,22,149},{2,15,457},{1,14,377},{0,25,5419},{0,16,2347},{0,13,556},{0,10,3179},{0,11,6495},{0,9,3890},{2,30,1569},{2,21,11},{3,15,117},{1,14,313},{12,1,5419},{0,16,2347},{0,13,556},{0,10,3179},{25,0,5419},
{0,10,3179},{1,22,145},{1,22,145},{1,22,145},{1,11,154},{0,15,1152},{0,11,194},{0,11,194},{0,6,481},{0,7,1531},{0,6,737},{2,20,1},{2,20,1},{2,20,1},{2,11,1},{5,5,1152},{0,11,194},{0,11,194},{0,6,481},{15,0,1152},{0,6,481},{17,0,1568},{1,22,4},{4,15,8},{0,14,157},{17,0,1568},{30,2,1568},{0,14,157},{0,11,1586},{30,2,1568},{0,11,1586},{1,0,145},
{1,0,145},{1,0,145},{1,0,145},{0,6,1},{0,6,1},{0,6,1},{0,3,1},{0,3,65},{0,3,65},{2,31,1977},{2,23,341},{2,16,707},{1,15,510},{0,28,5424},{0,17,2137},{0,15,373},{0,11,3035},{0,13,6709},{0,10,3860},{3,31,1569},{3,22,11},{4,16,122},{2,15,313},{14,0,5419},{0,17,2137},{0,15,373},{0,11,3035},{26,1,5419},{0,11,3035},{2,23,337},{2,23,337},{2,23,337},
{2,12,341},{0,18,1152},{0,13,104},{0,13,104},{0,8,410},{0,8,1686},{0,7,786},{3,21,1},{3,21,1},{3,21,1},{3,12,2},{9,0,1152},{0,13,104},{0,13,104},{0,8,410},{18,0,1152},{0,8,410},{18,1,1568},{2,23,4},{5,16,13},{0,15,117},{18,1,1568},{31,3,1568},{0,15,117},{0,12,1576},{31,3,1568},{0,12,1576},{2,0,337},{2,0,337},{2,0,337},{2,0,337},{0,9,1},
{0,9,1},{0,9,1},{0,5,4},{0,4,130},{0,4,130},{3,31,2353},{2,24,570},{3,17,1027},{2,16,714},{0,31,5424},{0,19,1979},{0,16,195},{0,12,2857},{0,14,7039},{0,11,3919},{4,31,1576},{4,23,16},{5,17,122},{3,16,331},{15,1,5419},{0,19,1979},{0,16,195},{0,12,2857},{27,2,5419},{0,12,2857},{2,26,546},{2,26,546},{2,26,546},{2,14,546},{0,21,1152},{0,14,50},{0,14,50},
{0,9,305},{0,9,1856},{0,8,830},{4,22,1},{4,22,1},{4,22,1},{4,13,1},{10,1,1152},{0,14,50},{0,14,50},{0,9,305},{21,0,1152},{0,9,305},{19,2,1568},{3,24,10},{6,17,13},{0,16,74},{19,2,1568},{30,5,1568},{0,16,74},{0,13,1576},{30,5,1568},{0,13,1576},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,12,0},{0,12,0},{0,12,0},{0,6,1},{0,5,205},
{0,5,205},{4,31,2980},{3,26,925},{3,19,1484},{2,17,1032},{1,31,5504},{0,21,1811},{0,17,61},{0,13,2651},{0,16,7420},{0,13,3876},{6,31,1619},{5,24,11},{6,18,117},{4,17,313},{17,0,5419},{0,21,1811},{0,17,61},{0,13,2651},{30,2,5419},{0,13,2651},{3,27,900},{3,27,900},{3,27,900},{3,15,900},{0,24,1152},{0,16,8},{0,16,8},{0,10,208},{0,11,2124},{0,9,881},{5,23,1},
{5,23,1},{5,23,1},{5,14,1},{12,0,1152},{0,16,8},{0,16,8},{0,10,208},{24,0,1152},{0,10,208},{21,1,1568},{4,25,4},{7,18,13},{0,17,45},{21,1,1568},{27,8,1568},{0,17,45},{0,14,1586},{27,8,1568},{0,14,1586},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{0,15,1},{0,15,1},{0,15,1},{0,8,4},{0,6,356},{0,6,356},{4,31,3668},{3,27,1320},{4,20,1940},
{3,18,1352},{2,31,5771},{0,23,1737},{0,18,37},{0,14,2486},{0,17,7711},{0,14,3930},{7,31,1635},{6,25,11},{7,19,117},{5,18,313},{18,1,5419},{0,23,1737},{0,18,37},{0,14,2486},{31,3,5419},{0,14,2486},{3,30,1252},{3,30,1252},{3,30,1252},{3,16,1256},{0,27,1152},{0,18,1},{0,18,1},{0,11,164},{0,12,2369},{0,10,1001},{6,24,1},{6,24,1},{6,24,1},{6,15,1},{13,1,1152},
{0,18,1},{0,18,1},{0,11,164},{27,0,1152},{0,11,164},{23,0,1568},{5,26,4},{8,19,8},{0,18,36},{23,0,1568},{30,8,1568},{0,18,36},{0,15,1586},{30,8,1568},{0,15,1586},{3,0,1252},{3,0,1252},{3,0,1252},{3,0,1252},{0,18,1},{0,18,1},{0,18,1},{0,9,1},{0,7,505},{0,7,505},{5,31,4346},{4,28,1644},{5,21,2372},{4,19,1703},{3,31,6079},{0,24,1644},{0,20,38},
{0,15,2390},{0,18,7969},{0,15,3907},{8,31,1682},{7,26,11},{8,20,122},{6,19,313},{19,2,5419},{0,24,1640},{0,20,34},{0,15,2386},{30,5,5419},{0,15,2386},{4,31,1587},{4,31,1587},{4,31,1587},{4,17,1590},{0,30,1156},{0,20,29},{0,20,29},{0,12,117},{0,13,2483},{0,11,1044},{7,25,1},{7,25,1},{7,25,1},{7,16,2},{15,0,1152},{1,19,1},{1,19,1},{0,12,113},{30,0,1152},
{0,12,113},{24,1,1568},{6,27,4},{9,20,13},{0,20,25},{24,1,1568},{31,9,1568},{0,20,25},{0,16,1576},{31,9,1568},{0,16,1576},{4,0,1586},{4,0,1586},{4,0,1586},{4,0,1586},{0,21,5},{0,21,5},{0,21,5},{0,11,8},{0,9,565},{0,9,565},{7,31,4580},{5,29,1644},{6,22,2372},{4,20,1692},{4,31,6228},{1,25,1644},{1,21,38},{1,16,2348},{0,20,7577},{0,16,3408},{9,31,1760},
{8,27,16},{9,21,122},{7,20,331},{19,5,5419},{0,26,1593},{2,20,27},{0,16,2252},{31,6,5419},{0,16,2252},{5,31,1590},{5,31,1590},{5,31,1590},{5,18,1590},{1,31,1156},{1,21,29},{1,21,29},{1,13,117},{0,15,2241},{0,13,699},{8,26,1},{8,26,1},{8,26,1},{8,17,1},{16,1,1152},{2,20,2},{2,20,2},{0,13,74},{31,1,1152},{0,13,74},{26,0,1568},{7,28,10},{10,21,13},
{0,21,10},{26,0,1568},{30,11,1568},{0,21,10},{0,17,1576},{30,11,1568},{0,17,1576},{5,0,1586},{5,0,1586},{5,0,1586},{5,0,1586},{1,22,5},{1,22,5},{1,22,5},{1,12,8},{0,10,433},{0,10,433},{8,31,4826},{6,30,1644},{7,23,2352},{6,21,1676},{5,31,6463},{2,26,1644},{2,22,38},{2,17,2348},{0,22,7196},{0,17,2863},{11,31,1865},{9,28,11},{10,22,117},{8,21,313},{23,0,5419},
{1,27,1586},{2,22,29},{0,18,2115},{30,8,5419},{0,18,2115},{6,31,1612},{6,31,1612},{6,31,1612},{6,19,1585},{3,30,1179},{3,21,29},{3,21,29},{2,14,122},{0,17,1953},{0,14,426},{9,27,1},{9,27,1},{9,27,1},{9,18,1},{16,4,1152},{3,21,4},{3,21,4},{0,15,49},{28,4,1152},{0,15,49},{25,5,1568},{8,29,4},{11,22,13},{1,22,4},{25,5,1568},{31,12,1568},{1,22,4},
{0,18,1586},{31,12,1568},{0,18,1586},{6,0,1576},{6,0,1576},{6,0,1576},{6,0,1576},{2,24,10},{2,24,10},{2,24,10},{2,13,10},{0,13,272},{0,13,272},{9,31,5108},{7,31,1644},{8,24,2372},{7,22,1676},{7,31,6660},{3,27,1644},{3,23,38},{3,18,2348},{0,23,6891},{0,18,2519},{12,31,1952},{10,29,11},{11,23,117},{9,22,313},{24,1,5419},{2,28,1584},{3,23,29},{0,19,2027},{31,9,5419},
{0,19,2027},{7,31,1640},{7,31,1640},{7,31,1640},{7,20,1580},{4,31,1188},{3,23,34},{3,23,34},{3,15,122},{0,19,1795},{0,15,261},{10,28,1},{10,28,1},{10,28,1},{10,19,1},{17,5,1152},{4,22,1},{4,22,1},{0,16,26},{31,4,1152},{0,16,26},{29,0,1568},{9,30,4},{12,23,8},{2,23,4},{29,0,1568},{30,14,1568},{2,23,4},{0,19,1586},{30,14,1568},{0,19,1586},{7,0,1576},
{7,0,1576},{7,0,1576},{7,0,1576},{3,24,10},{3,24,10},{3,24,10},{3,14,10},{0,14,170},{0,14,170},{10,31,5426},{8,31,1695},{9,25,2372},{8,23,1703},{8,31,6861},{4,28,1644},{4,24,38},{3,19,2372},{0,25,6573},{0,19,2268},{13,31,2066},{11,30,11},{12,24,122},{10,23,313},{26,0,5419},{3,29,1584},{4,24,34},{0,20,1937},{30,11,5419},{0,20,1937},{8,31,1686},{8,31,1686},{8,31,1686},
{8,21,1590},{5,31,1206},{4,24,29},{4,24,29},{4,16,117},{0,20,1602},{0,17,126},{11,29,1},{11,29,1},{11,29,1},{11,20,2},{21,0,1152},{5,23,1},{5,23,1},{0,17,5},{30,6,1152},{0,17,5},{30,1,1568},{10,31,4},{13,24,13},{3,24,10},{30,1,1568},{31,15,1568},{3,24,10},{0,20,1576},{31,15,1568},{0,20,1576},{8,0,1586},{8,0,1586},{8,0,1586},{8,0,1586},{4,25,5},
{4,25,5},{4,25,5},{4,15,8},{0,16,90},{0,16,90},{11,31,5658},{9,31,1836},{10,26,2372},{8,24,1692},{9,31,7116},{5,29,1644},{5,25,38},{5,20,2348},{0,26,6379},{0,21,2028},{14,31,2216},{12,31,16},{13,25,122},{11,24,331},{27,1,5419},{2,31,1584},{6,24,27},{0,21,1832},{27,14,5419},{0,21,1832},{9,31,1755},{9,31,1755},{9,31,1755},{9,22,1590},{6,31,1260},{5,25,29},{5,25,29},
{5,17,117},{0,22,1459},{0,18,38},{12,30,1},{12,30,1},{12,30,1},{12,21,1},{22,1,1152},{6,24,2},{6,24,2},{0,18,2},{31,7,1152},{0,18,2},{31,2,1568},{11,31,13},{14,25,13},{4,25,10},{31,2,1568},{30,17,1568},{4,25,10},{0,21,1576},{30,17,1568},{0,21,1576},{9,0,1586},{9,0,1586},{9,0,1586},{9,0,1586},{5,26,5},{5,26,5},{5,26,5},{5,16,8},{0,18,37},
{0,18,37},{12,31,6036},{11,31,2033},{11,27,2352},{10,25,1676},{11,31,7423},{6,30,1644},{6,26,38},{6,21,2348},{0,28,6109},{0,22,1794},{15,31,2371},{13,31,50},{14,26,117},{12,25,313},{29,0,5419},{5,31,1586},{6,26,29},{0,22,1730},{30,14,5419},{0,22,1730},{10,31,1865},{10,31,1865},{10,31,1865},{10,23,1585},{7,31,1339},{7,25,29},{7,25,29},{6,18,122},{0,23,1345},{0,19,16},{13,31,1},
{13,31,1},{13,31,1},{13,22,1},{24,0,1152},{7,25,4},{7,25,4},{2,19,1},{24,12,1152},{2,19,1},{29,9,1568},{14,31,41},{15,26,13},{5,26,4},{29,9,1568},{27,20,1568},{5,26,4},{0,22,1586},{27,20,1568},{0,22,1586},{10,0,1576},{10,0,1576},{10,0,1576},{10,0,1576},{6,28,10},{6,28,10},{6,28,10},{6,17,10},{0,20,13},{0,20,13},{13,31,6450},{12,31,2268},{12,28,2372},
{11,26,1676},{12,31,7676},{7,31,1644},{7,27,38},{7,22,2348},{0,30,5924},{0,23,1695},{17,31,2536},{15,31,139},{15,27,117},{13,26,313},{30,1,5419},{7,31,1635},{7,27,29},{0,23,1686},{31,15,5419},{0,23,1686},{11,31,1937},{11,31,1937},{11,31,1937},{11,24,1580},{9,31,1420},{7,27,34},{7,27,34},{7,19,122},{0,25,1234},{1,20,17},{14,31,10},{14,31,10},{14,31,10},{14,23,1},{25,1,1152},
{8,26,1},{8,26,1},{2,20,2},{27,12,1152},{2,20,2},{31,8,1568},{15,31,90},{16,27,8},{6,27,4},{31,8,1568},{30,20,1568},{6,27,4},{0,23,1586},{30,20,1568},{0,23,1586},{11,0,1576},{11,0,1576},{11,0,1576},{11,0,1576},{7,28,10},{7,28,10},{7,28,10},{7,18,10},{0,21,10},{0,21,10},{15,31,6772},{13,31,2595},{13,29,2372},{12,27,1703},{13,31,7985},{8,31,1725},{8,28,38},
{7,23,2372},{0,31,5773},{0,24,1644},{18,31,2722},{16,31,261},{16,28,122},{14,27,313},{31,2,5419},{8,31,1721},{8,28,34},{0,24,1640},{30,17,5419},{0,24,1640},{12,31,2027},{12,31,2027},{12,31,2027},{12,25,1590},{10,31,1510},{8,28,29},{8,28,29},{8,20,117},{0,27,1188},{2,21,17},{15,31,26},{15,31,26},{15,31,26},{15,24,2},{27,0,1152},{9,27,1},{9,27,1},{3,21,2},{30,12,1152},
{3,21,2},{31,11,1568},{17,31,180},{17,28,13},{7,28,10},{31,11,1568},{31,21,1568},{7,28,10},{0,24,1576},{31,21,1568},{0,24,1576},{12,0,1586},{12,0,1586},{12,0,1586},{12,0,1586},{8,29,5},{8,29,5},{8,29,5},{8,19,8},{1,22,10},{1,22,10},{16,31,7154},{14,31,2955},{14,30,2372},{12,28,1692},{14,31,8348},{10,31,1895},{9,29,38},{9,24,2348},{1,31,5956},{1,25,1644},{19,31,2866},
{17,31,468},{17,29,122},{15,28,331},{31,5,5419},{10,31,1859},{10,28,27},{0,25,1601},{31,18,5419},{0,25,1601},{13,31,2162},{13,31,2162},{13,31,2162},{13,26,1590},{11,31,1590},{9,29,29},{9,29,29},{9,21,117},{0,28,1161},{3,22,17},{16,31,49},{16,31,49},{16,31,49},{16,25,1},{28,1,1152},{10,28,2},{10,28,2},{4,22,2},{31,13,1152},{4,22,2},{31,14,1568},{19,31,277},{18,29,13},
{8,29,10},{31,14,1568},{30,23,1568},{8,29,10},{0,25,1576},{30,23,1568},{0,25,1576},{13,0,1586},{13,0,1586},{13,0,1586},{13,0,1586},{9,30,5},{9,30,5},{9,30,5},{9,20,8},{2,23,10},{2,23,10},{17,31,7636},{15,31,3408},{15,31,2352},{14,29,1676},{16,31,8673},{11,31,2187},{10,30,38},{10,25,2348},{3,31,6235},{2,26,1644},{20,31,3112},{19,31,754},{18,30,117},{16,29,313},{31,8,5419},
{12,31,2060},{10,30,29},{0,26,1587},{30,20,5419},{0,26,1587},{15,31,2252},{15,31,2252},{15,31,2252},{14,27,1585},{12,31,1740},{11,29,29},{11,29,29},{10,22,122},{0,30,1163},{4,23,16},{18,31,85},{18,31,85},{18,31,85},{17,26,1},{28,4,1152},{11,29,4},{11,29,4},{6,23,1},{28,16,1152},{6,23,1},{29,21,1568},{20,31,436},{19,30,13},{9,30,4},{29,21,1568},{31,24,1568},{9,30,4},
{0,26,1586},{31,24,1568},{0,26,1586},{14,0,1576},{14,0,1576},{14,0,1576},{14,0,1576},{10,31,13},{10,31,13},{10,31,13},{10,21,10},{3,24,10},{3,24,10},{18,31,8122},{16,31,3907},{16,31,2390},{15,30,1676},{17,31,9036},{12,31,2576},{11,31,38},{11,26,2348},{6,31,6555},{3,27,1644},{22,31,3392},{20,31,1044},{19,31,117},{17,30,313},{31,11,5419},{15,31,2284},{11,31,29},{0,27,1587},{31,21,5419},
{0,27,1587},{16,31,2386},{16,31,2386},{16,31,2386},{15,28,1580},{14,31,1924},{11,31,34},{11,31,34},{11,23,122},{1,31,1163},{5,24,17},{19,31,113},{19,31,113},{19,31,113},{18,27,1},{29,5,1152},{12,30,1},{12,30,1},{6,24,2},{31,16,1152},{6,24,2},{31,20,1568},{22,31,593},{20,31,8},{10,31,4},{31,20,1568},{30,26,1568},{10,31,4},{0,27,1586},{30,26,1568},{0,27,1586},{15,0,1576},
{15,0,1576},{15,0,1576},{15,0,1576},{11,31,25},{11,31,25},{11,31,25},{11,22,10},{4,25,10},{4,25,10},{19,31,7638},{17,31,4060},{17,31,2539},{16,30,1659},{18,31,8553},{14,31,2430},{13,31,37},{11,27,1940},{7,31,6120},{4,28,1320},{23,31,2996},{20,31,1064},{20,31,164},{19,30,186},{29,17,4803},{16,31,2018},{13,31,1},{1,28,1253},{27,24,4803},{1,28,1253},{17,31,2539},{17,31,2539},{17,31,2539},
{16,29,1590},{15,31,2028},{13,31,37},{13,31,37},{12,24,117},{3,31,1170},{6,25,17},{20,31,164},{20,31,164},{20,31,164},{19,28,2},{31,4,1152},{13,31,1},{13,31,1},{7,25,2},{30,18,1152},{7,25,2},{31,22,1250},{24,31,505},{22,31,0},{13,31,0},{31,22,1250},{30,27,1250},{13,31,0},{0,28,1252},{30,27,1250},{0,28,1252},{16,0,1586},{16,0,1586},{16,0,1586},{16,0,1586},{13,31,37},
{13,31,37},{13,31,37},{12,23,8},{5,26,10},{5,26,10},{20,31,7060},{19,31,3955},{18,31,2710},{17,31,1595},{19,31,7717},{15,31,2140},{14,31,77},{13,28,1480},{8,31,5539},{6,28,925},{23,31,2516},{22,31,945},{21,31,233},{20,30,100},{31,15,4056},{18,31,1656},{15,31,8},{4,28,900},{31,23,4056},{4,28,900},{18,31,2710},{18,31,2710},{18,31,2710},{17,30,1590},{16,31,2193},{14,31,77},{14,31,77},
{13,25,117},{5,31,1233},{7,26,17},{21,31,233},{21,31,233},{21,31,233},{20,29,1},{31,7,1152},{15,31,8},{15,31,8},{8,26,2},{31,19,1152},{8,26,2},{31,23,884},{25,31,370},{23,31,4},{16,31,1},{31,23,884},{31,27,884},{16,31,1},{0,28,900},{31,27,884},{0,28,900},{17,0,1586},{17,0,1586},{17,0,1586},{17,0,1586},{14,31,52},{14,31,52},{14,31,52},{13,24,8},{6,27,10},
{6,27,10},{21,31,6535},{20,31,3919},{19,31,2857},{18,31,1585},{20,31,6979},{16,31,1942},{15,31,195},{14,28,990},{11,31,4914},{7,29,562},{24,31,2045},{23,31,830},{22,31,338},{21,31,26},{29,21,3318},{19,31,1314},{17,31,52},{5,29,546},{31,24,3318},{5,29,546},{19,31,2857},{19,31,2857},{19,31,2857},{18,31,1585},{17,31,2436},{15,31,195},{15,31,195},{14,26,122},{7,31,1339},{8,27,16},{22,31,338},
{22,31,338},{22,31,338},{21,30,1},{28,16,1152},{17,31,52},{17,31,52},{10,27,1},{24,24,1152},{10,27,1},{31,25,545},{26,31,221},{25,31,0},{19,31,0},{31,25,545},{31,28,545},{19,31,0},{0,29,545},{31,28,545},{0,29,545},{18,0,1576},{18,0,1576},{18,0,1576},{18,0,1576},{15,31,74},{15,31,74},{15,31,74},{14,25,10},{7,28,10},{7,28,10},{22,31,6151},{20,31,3935},{20,31,3035},
{19,31,1640},{21,31,6458},{18,31,1902},{16,31,373},{15,29,670},{12,31,4499},{8,29,347},{25,31,1729},{24,31,786},{23,31,410},{22,31,1},{31,19,2753},{20,31,1094},{19,31,113},{8,29,338},{31,25,2753},{8,29,338},{20,31,3035},{20,31,3035},{20,31,3035},{19,31,1640},{19,31,2630},{16,31,373},{16,31,373},{15,27,122},{10,31,1483},{9,28,17},{23,31,410},{23,31,410},{23,31,410},{22,31,1},{29,17,1152},
{19,31,113},{19,31,113},{10,28,2},{27,24,1152},{10,28,2},{31,26,317},{27,31,130},{26,31,9},{22,31,0},{31,26,317},{30,29,317},{22,31,0},{0,29,337},{30,29,317},{0,29,337},{19,0,1576},{19,0,1576},{19,0,1576},{19,0,1576},{16,31,117},{16,31,117},{16,31,117},{15,26,10},{8,29,10},{8,29,10},{23,31,5691},{22,31,4004},{21,31,3254},{20,31,1755},{22,31,6023},{19,31,1830},{18,31,606},
{16,29,430},{14,31,4162},{9,30,155},{26,31,1481},{25,31,801},{24,31,505},{23,31,26},{29,25,2273},{22,31,914},{20,31,194},{9,30,146},{27,28,2273},{9,30,146},{21,31,3254},{21,31,3254},{21,31,3254},{20,31,1755},{20,31,2835},{18,31,606},{18,31,606},{16,28,117},{11,31,1665},{10,29,17},{24,31,505},{24,31,505},{24,31,505},{23,31,26},{31,16,1152},{20,31,194},{20,31,194},{11,29,2},{30,24,1152},
{11,29,2},{31,28,145},{28,31,65},{28,31,1},{25,31,0},{31,28,145},{30,30,145},{25,31,0},{0,30,145},{30,30,145},{0,30,145},{20,0,1586},{20,0,1586},{20,0,1586},{20,0,1586},{17,31,180},{17,31,180},{17,31,180},{16,27,8},{9,30,10},{9,30,10},{24,31,5421},{23,31,3999},{22,31,3491},{21,31,1947},{23,31,5539},{20,31,1879},{19,31,853},{17,30,238},{16,31,3922},{11,30,81},{27,31,1229},
{26,31,813},{26,31,617},{24,31,100},{31,23,1878},{23,31,822},{22,31,305},{12,30,66},{31,27,1878},{12,30,66},{22,31,3491},{22,31,3491},{22,31,3491},{21,31,1947},{21,31,3081},{19,31,853},{19,31,853},{17,29,117},{14,31,1905},{11,30,17},{26,31,617},{26,31,617},{26,31,617},{24,31,100},{31,19,1152},{22,31,305},{22,31,305},{12,30,2},{31,25,1152},{12,30,2},{31,29,45},{30,31,18},{29,31,4},
{28,31,1},{31,29,45},{31,30,45},{28,31,1},{0,30,65},{31,30,45},{0,30,65},{21,0,1586},{21,0,1586},{21,0,1586},{21,0,1586},{18,31,261},{18,31,261},{18,31,261},{17,28,8},{10,31,10},{10,31,10},{24,31,5178},{24,31,4095},{23,31,3704},{22,31,2201},{24,31,5197},{21,31,2101},{20,31,1240},{18,31,153},{18,31,3760},{12,31,16},{28,31,1088},{27,31,830},{27,31,709},{26,31,245},{29,29,1536},
{26,31,792},{24,31,461},{14,31,1},{31,28,1536},{14,31,1},{23,31,3704},{23,31,3704},{23,31,3704},{22,31,2201},{23,31,3396},{20,31,1240},{20,31,1240},{18,30,122},{15,31,2208},{12,31,16},{27,31,709},{27,31,709},{27,31,709},{26,31,245},{28,28,1152},{24,31,461},{24,31,461},{14,31,1},{28,28,1152},{14,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{22,0,1576},{22,0,1576},{22,0,1576},{22,0,1576},{20,31,340},{20,31,340},{20,31,340},{18,29,10},{12,31,16},{12,31,16},{25,31,4468},{24,31,3615},{24,31,3254},{23,31,2060},{24,31,4413},{22,31,1834},{21,31,1205},{19,31,58},{19,31,3127},{14,31,53},{28,31,768},{28,31,576},{28,31,512},{27,31,170},{31,26,1068},{26,31,536},{25,31,338},{16,31,1},{30,29,1068},
{16,31,1},{24,31,3254},{24,31,3254},{24,31,3254},{23,31,2060},{23,31,2852},{21,31,1205},{21,31,1205},{19,31,58},{16,31,1878},{14,31,53},{28,31,512},{28,31,512},{28,31,512},{27,31,170},{31,24,802},{25,31,338},{25,31,338},{16,31,1},{30,28,802},{16,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{23,0,1576},
{23,0,1576},{23,0,1576},{23,0,1576},{21,31,421},{21,31,421},{21,31,421},{19,30,10},{14,31,53},{14,31,53},{26,31,3858},{25,31,3188},{25,31,2899},{24,31,1947},{25,31,3700},{23,31,1596},{23,31,1112},{20,31,8},{20,31,2588},{16,31,117},{29,31,498},{28,31,384},{28,31,320},{27,31,122},{31,27,683},{27,31,342},{26,31,212},{19,31,1},{31,29,683},{19,31,1},{25,31,2899},{25,31,2899},{25,31,2899},
{24,31,1947},{24,31,2441},{23,31,1112},{23,31,1112},{20,31,8},{18,31,1568},{16,31,117},{28,31,320},{28,31,320},{28,31,320},{27,31,122},{29,29,512},{26,31,212},{26,31,212},{19,31,1},{31,28,512},{19,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{24,0,1586},{24,0,1586},{24,0,1586},{24,0,1586},{22,31,520},
{22,31,520},{22,31,520},{20,31,8},{16,31,117},{16,31,117},{27,31,3258},{26,31,2790},{26,31,2594},{25,31,1875},{26,31,3105},{24,31,1447},{23,31,1080},{21,31,20},{22,31,2151},{18,31,208},{29,31,306},{29,31,221},{29,31,185},{28,31,64},{31,28,384},{28,31,192},{27,31,125},{22,31,1},{30,30,384},{22,31,1},{26,31,2594},{26,31,2594},{26,31,2594},{25,31,1875},{25,31,2131},{23,31,1080},{23,31,1080},
{21,31,20},{20,31,1336},{18,31,208},{29,31,185},{29,31,185},{29,31,185},{28,31,64},{31,27,290},{27,31,125},{27,31,125},{22,31,1},{31,29,290},{22,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{25,0,1586},{25,0,1586},{25,0,1586},{25,0,1586},{23,31,596},{23,31,596},{23,31,596},{21,31,20},{18,31,208},
{18,31,208},{0,25,2669},{0,18,320},{0,13,5},{0,11,985},{0,17,5885},{0,11,3745},{0,10,1746},{0,7,4421},{0,8,6385},{0,7,4782},{0,25,2669},{0,18,320},{0,13,5},{0,11,985},{8,1,5885},{0,11,3745},{0,10,1746},{0,7,4421},{17,0,5885},{0,7,4421},{0,12,0},{0,12,0},{0,12,0},{0,6,1},{0,6,545},{0,5,205},{0,5,205},{0,3,337},{0,3,609},{0,3,401},{0,12,0},
{0,12,0},{0,12,0},{0,6,1},{3,0,545},{0,5,205},{0,5,205},{0,3,337},{6,0,545},{0,3,337},{13,0,2669},{0,18,320},{0,13,5},{0,11,985},{13,0,2669},{25,0,2669},{0,11,985},{0,8,2689},{25,0,2669},{0,8,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,28,2665},{0,20,212},{0,14,10},
{0,12,850},{0,19,6669},{0,13,3974},{0,11,1837},{0,8,4865},{0,9,7266},{0,7,5310},{0,28,2665},{0,20,212},{0,14,10},{0,12,850},{9,1,6669},{0,13,3974},{0,11,1837},{0,8,4865},{19,0,6669},{0,8,4865},{0,15,0},{0,15,0},{0,15,0},{0,7,9},{0,7,845},{0,6,337},{0,6,337},{0,3,545},{0,3,945},{0,3,609},{0,15,0},{0,15,0},{0,15,0},{0,7,9},{3,2,841},
{0,6,337},{0,6,337},{0,3,545},{6,1,841},{0,3,545},{12,4,2665},{0,20,212},{1,14,5},{0,12,850},{12,4,2665},{28,0,2665},{0,12,850},{0,9,2689},{28,0,2665},{0,9,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,31,2665},{0,21,113},{0,15,65},{0,13,709},{0,21,7538},{0,14,4289},{0,12,1907},
{0,9,5330},{0,10,8294},{0,8,5845},{0,31,2665},{0,21,113},{0,15,65},{0,13,709},{10,1,7538},{0,14,4289},{0,12,1907},{0,9,5330},{21,0,7538},{0,9,5330},{0,18,0},{0,18,0},{0,18,0},{0,9,0},{0,9,1201},{0,7,482},{0,7,482},{0,4,740},{0,4,1334},{0,4,861},{0,18,0},{0,18,0},{0,18,0},{0,9,0},{4,1,1201},{0,7,482},{0,7,482},{0,4,740},{9,0,1201},
{0,4,740},{13,5,2665},{0,21,113},{2,15,5},{0,13,709},{13,5,2665},{31,0,2665},{0,13,709},{0,10,2689},{31,0,2665},{0,10,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,31,2809},{0,23,52},{0,16,173},{0,14,586},{0,23,8494},{0,15,4610},{0,13,1950},{0,9,5826},{0,11,9409},{0,9,6402},{1,31,2753},
{0,23,52},{1,16,132},{0,14,586},{11,1,8493},{0,15,4610},{0,13,1950},{0,9,5826},{19,2,8493},{0,9,5826},{0,21,0},{0,21,0},{0,21,0},{0,10,9},{0,10,1629},{0,9,640},{0,9,640},{0,5,985},{0,5,1798},{0,5,1154},{0,21,0},{0,21,0},{0,21,0},{0,10,9},{3,5,1625},{0,9,640},{0,9,640},{0,5,985},{7,2,1625},{0,5,985},{17,0,2665},{0,23,52},{2,16,13},
{0,14,586},{17,0,2665},{30,2,2665},{0,14,586},{0,11,2689},{30,2,2665},{0,11,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,31,3105},{0,25,8},{1,17,325},{0,15,512},{0,25,9669},{0,17,4961},{0,14,2120},{0,10,6421},{0,12,10774},{0,10,7150},{2,31,3033},{0,25,8},{1,17,261},{0,15,512},{12,1,9669},
{0,17,4961},{0,14,2120},{0,10,6421},{25,0,9669},{0,10,6421},{0,24,0},{0,24,0},{0,24,0},{0,12,0},{0,12,2178},{0,9,865},{0,9,865},{0,6,1313},{0,5,2419},{0,5,1523},{0,24,0},{0,24,0},{0,24,0},{0,12,0},{4,4,2178},{0,9,865},{0,9,865},{0,6,1313},{12,0,2178},{0,6,1313},{19,0,2669},{0,25,8},{4,17,5},{0,15,512},{19,0,2669},{31,3,2669},{0,15,512},
{0,12,2689},{31,3,2669},{0,12,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,31,3465},{0,27,65},{1,19,434},{0,17,474},{0,28,9670},{0,18,4658},{0,16,1717},{0,11,6209},{0,13,10979},{0,11,7109},{3,31,3101},{1,26,8},{2,18,261},{0,17,474},{14,0,9669},{0,18,4658},{0,16,1717},{0,11,6209},{26,1,9669},
{0,11,6209},{1,25,64},{1,25,64},{1,25,64},{1,13,64},{0,15,2178},{0,11,680},{0,11,680},{0,7,1189},{0,7,2557},{0,6,1457},{1,25,0},{1,25,0},{1,25,0},{1,13,0},{5,5,2178},{0,11,680},{0,11,680},{0,7,1189},{15,0,2178},{0,7,1189},{20,0,2665},{0,27,1},{5,18,5},{0,17,410},{20,0,2665},{24,8,2665},{0,17,410},{0,13,2689},{24,8,2665},{0,13,2689},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,3,0},{0,3,0},{0,3,0},{0,2,4},{0,1,13},{0,1,13},{3,31,3917},{1,28,129},{2,20,645},{1,18,538},{0,31,9670},{0,20,4330},{0,17,1246},{0,12,5925},{0,14,11321},{0,12,7014},{4,31,3218},{2,27,8},{3,19,261},{1,18,474},{15,1,9669},{0,20,4330},{0,17,1246},{0,12,5925},{27,2,9669},{0,12,5925},{1,28,128},{1,28,128},{1,28,128},
{1,15,132},{0,18,2178},{0,13,482},{0,13,482},{0,8,1040},{0,8,2712},{0,7,1470},{2,26,0},{2,26,0},{2,26,0},{2,14,0},{9,0,2178},{0,13,482},{0,13,482},{0,8,1040},{18,0,2178},{0,8,1040},{21,1,2665},{1,28,1},{6,19,5},{0,18,305},{21,1,2665},{27,8,2665},{0,18,305},{0,14,2689},{27,8,2665},{0,14,2689},{1,0,128},{1,0,128},{1,0,128},{1,0,128},{0,6,0},
{0,6,0},{0,6,0},{0,3,0},{0,2,61},{0,2,61},{3,31,4541},{2,29,321},{2,21,904},{1,19,625},{1,31,9749},{0,21,4018},{0,18,914},{0,14,5633},{0,16,11661},{0,13,6859},{5,31,3374},{3,28,10},{4,20,254},{2,19,474},{17,0,9670},{0,21,4018},{0,18,914},{0,14,5633},{30,2,9670},{0,14,5633},{2,29,320},{2,29,320},{2,29,320},{1,16,320},{0,21,2178},{0,15,353},{0,15,353},
{0,9,881},{0,9,2882},{0,9,1457},{3,27,0},{3,27,0},{3,27,0},{3,15,0},{10,1,2178},{0,15,353},{0,15,353},{0,9,881},{21,0,2178},{0,9,881},{23,0,2665},{2,29,1},{6,20,13},{0,19,245},{23,0,2665},{30,8,2665},{0,19,245},{0,15,2689},{30,8,2665},{0,15,2689},{1,0,320},{1,0,320},{1,0,320},{1,0,320},{0,9,0},{0,9,0},{0,9,0},{0,4,4},{0,4,125},
{0,4,125},{4,31,5378},{2,31,570},{3,22,1267},{2,20,850},{2,31,10045},{0,23,3745},{0,19,642},{0,14,5354},{0,17,11993},{0,14,6798},{7,31,3553},{4,29,8},{5,21,261},{3,20,491},{18,1,9669},{0,23,3745},{0,19,642},{0,14,5354},{31,3,9669},{0,14,5354},{2,31,561},{2,31,561},{2,31,561},{2,17,546},{0,24,2178},{0,17,205},{0,17,205},{0,10,730},{0,11,3150},{0,9,1457},{4,28,0},
{4,28,0},{4,28,0},{4,16,0},{12,0,2178},{0,17,205},{0,17,205},{0,10,730},{24,0,2178},{0,10,730},{25,0,2669},{3,30,1},{8,21,5},{0,20,170},{25,0,2669},{31,9,2669},{0,20,170},{0,16,2689},{31,9,2669},{0,16,2689},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,12,0},{0,12,0},{0,12,0},{0,6,1},{0,5,205},{0,5,205},{5,31,6330},{3,31,905},{4,23,1718},
{2,21,1099},{3,31,10453},{0,25,3478},{0,21,369},{0,16,5138},{0,18,12455},{0,15,6867},{8,31,3710},{5,30,8},{6,22,261},{4,21,474},{19,2,9669},{0,25,3478},{0,21,369},{0,16,5138},{30,5,9669},{0,16,5138},{3,31,901},{3,31,901},{3,31,901},{3,18,866},{0,27,2178},{0,19,130},{0,19,130},{0,11,650},{0,12,3395},{0,10,1523},{5,29,0},{5,29,0},{5,29,0},{5,17,0},{13,1,2178},
{0,19,130},{0,19,130},{0,11,650},{27,0,2178},{0,11,650},{24,4,2665},{4,31,1},{9,22,5},{0,21,113},{24,4,2665},{28,12,2665},{0,21,113},{0,17,2689},{28,12,2665},{0,17,2689},{3,0,865},{3,0,865},{3,0,865},{3,0,865},{0,15,0},{0,15,0},{0,15,0},{0,7,9},{0,6,337},{0,6,337},{6,31,7446},{4,31,1458},{4,24,2174},{3,22,1419},{3,31,11045},{0,27,3314},{0,22,195},
{0,17,4865},{0,20,12855},{0,16,6882},{9,31,3902},{6,31,8},{7,23,261},{5,22,474},{19,5,9669},{0,27,3314},{0,22,195},{0,17,4865},{31,6,9669},{0,17,4865},{3,31,1397},{3,31,1397},{3,31,1397},{3,19,1210},{0,30,2178},{0,20,61},{0,20,61},{0,12,545},{0,13,3645},{0,12,1634},{6,30,0},{6,30,0},{6,30,0},{6,18,0},{15,0,2178},{0,20,61},{0,20,61},{0,12,545},{30,0,2178},
{0,12,545},{25,5,2665},{6,31,8},{10,23,5},{0,22,74},{25,5,2665},{31,12,2665},{0,22,74},{0,18,2689},{31,12,2665},{0,18,2689},{3,0,1201},{3,0,1201},{3,0,1201},{3,0,1201},{0,18,0},{0,18,0},{0,18,0},{0,9,0},{0,7,482},{0,7,482},{7,31,8578},{4,31,2146},{5,25,2766},{3,23,1835},{4,31,11766},{0,28,3125},{0,23,94},{0,18,4610},{0,21,13238},{0,17,6837},{10,31,4130},
{7,31,49},{8,24,254},{6,23,474},{23,0,9670},{0,28,3125},{0,23,94},{0,18,4610},{30,8,9670},{0,18,4610},{4,31,1921},{4,31,1921},{4,31,1921},{3,21,1665},{0,31,2228},{0,22,18},{0,22,18},{0,14,425},{0,15,3987},{0,13,1677},{7,31,0},{7,31,0},{7,31,0},{7,19,0},{16,1,2178},{0,22,18},{0,22,18},{0,14,425},{31,1,2178},{0,14,425},{29,0,2665},{7,31,49},{10,24,13},
{0,23,58},{29,0,2665},{30,14,2665},{0,23,58},{0,19,2689},{30,14,2665},{0,19,2689},{3,0,1665},{3,0,1665},{3,0,1665},{3,0,1665},{0,21,0},{0,21,0},{0,21,0},{0,10,9},{0,9,640},{0,9,640},{7,31,10135},{5,31,3190},{5,26,3543},{4,24,2348},{5,31,12846},{0,30,2961},{0,25,30},{0,19,4421},{0,23,13846},{0,18,6930},{11,31,4345},{8,31,178},{9,25,261},{7,24,491},{24,1,9669},
{0,30,2961},{0,25,30},{0,19,4421},{31,9,9669},{0,19,4421},{5,31,2706},{5,31,2706},{5,31,2706},{4,22,2179},{1,31,2404},{0,24,0},{0,24,0},{0,15,337},{0,16,4356},{0,14,1833},{8,31,9},{8,31,9},{8,31,9},{8,20,0},{16,4,2178},{0,24,0},{0,24,0},{0,15,337},{28,4,2178},{0,15,337},{31,0,2669},{10,31,113},{12,25,5},{0,25,26},{31,0,2669},{31,15,2669},{0,25,26},
{0,20,2689},{31,15,2669},{0,20,2689},{4,0,2178},{4,0,2178},{4,0,2178},{4,0,2178},{0,24,0},{0,24,0},{0,24,0},{0,12,0},{0,9,865},{0,9,865},{8,31,11466},{6,31,4187},{6,27,4166},{4,25,2818},{6,31,13898},{0,31,2871},{0,26,15},{0,20,4226},{0,24,14214},{0,19,7006},{12,31,4590},{10,31,321},{10,26,261},{8,25,474},{26,0,9669},{0,31,2870},{0,26,14},{0,20,4225},{30,11,9669},
{0,20,4225},{6,31,3458},{6,31,3458},{6,31,3458},{5,23,2690},{2,31,2691},{0,26,14},{0,26,14},{0,16,261},{0,17,4595},{0,15,1953},{9,31,36},{9,31,36},{9,31,36},{9,21,0},{17,5,2178},{1,25,0},{1,25,0},{0,16,260},{31,4,2178},{0,16,260},{28,8,2665},{11,31,194},{13,26,5},{0,26,5},{28,8,2665},{24,20,2665},{0,26,5},{0,21,2689},{24,20,2665},{0,21,2689},{5,0,2689},
{5,0,2689},{5,0,2689},{5,0,2689},{0,27,1},{0,27,1},{0,27,1},{0,14,5},{0,11,1037},{0,11,1037},{9,31,12054},{7,31,4578},{7,28,4118},{5,26,2818},{7,31,14214},{1,31,3042},{1,27,15},{0,21,4099},{0,25,13683},{0,21,6322},{14,31,4858},{11,31,514},{11,27,261},{9,26,474},{27,1,9669},{2,31,3014},{1,27,14},{0,21,4018},{27,14,9669},{0,21,4018},{7,31,3554},{7,31,3554},{7,31,3554},
{6,24,2689},{3,31,2795},{1,27,14},{1,27,14},{1,17,261},{0,19,4269},{0,16,1517},{11,31,73},{11,31,73},{11,31,73},{10,22,0},{21,0,2178},{2,26,0},{2,26,0},{0,17,185},{30,6,2178},{0,17,185},{29,9,2665},{13,31,320},{14,27,5},{0,27,1},{29,9,2665},{27,20,2665},{0,27,1},{0,22,2689},{27,20,2665},{0,22,2689},{6,0,2689},{6,0,2689},{6,0,2689},{6,0,2689},{1,28,1},
{1,28,1},{1,28,1},{1,15,5},{0,13,797},{0,13,797},{11,31,12506},{8,31,5075},{8,29,4166},{6,27,2818},{8,31,14651},{3,31,3255},{2,28,23},{1,22,4099},{0,27,13238},{0,21,5650},{15,31,5054},{12,31,782},{12,28,254},{10,27,474},{29,0,9670},{3,31,3206},{2,28,22},{0,22,3829},{30,14,9670},{0,22,3829},{8,31,3706},{8,31,3706},{8,31,3706},{7,25,2689},{4,31,2946},{2,28,19},{2,28,19},
{2,18,261},{0,21,3906},{0,17,1106},{12,31,106},{12,31,106},{12,31,106},{11,23,0},{22,1,2178},{3,27,0},{3,27,0},{0,18,128},{31,7,2178},{0,18,128},{31,8,2665},{15,31,445},{14,28,13},{1,28,4},{31,8,2665},{30,20,2665},{1,28,4},{0,23,2689},{30,20,2665},{0,23,2689},{7,0,2689},{7,0,2689},{7,0,2689},{7,0,2689},{2,29,1},{2,29,1},{2,29,1},{2,15,10},{0,14,637},
{0,14,637},{12,31,13094},{10,31,5782},{9,30,4166},{7,28,2838},{10,31,15213},{4,31,3618},{3,29,25},{2,23,4101},{0,29,12686},{0,23,5075},{16,31,5378},{14,31,1172},{13,29,261},{11,28,491},{30,1,9669},{6,31,3469},{3,29,21},{0,23,3706},{31,15,9669},{0,23,3706},{9,31,3890},{9,31,3890},{9,31,3890},{8,26,2690},{6,31,3157},{3,29,24},{3,29,24},{3,19,254},{0,23,3619},{0,19,782},{13,31,145},
{13,31,145},{13,31,145},{12,24,0},{24,0,2178},{4,28,0},{4,28,0},{0,19,106},{24,12,2178},{0,19,106},{31,11,2669},{16,31,640},{16,29,5},{2,29,2},{31,11,2669},{31,21,2669},{2,29,2},{0,24,2689},{31,21,2669},{0,24,2689},{8,0,2689},{8,0,2689},{8,0,2689},{8,0,2689},{3,30,5},{3,30,5},{3,30,5},{3,17,8},{0,17,436},{0,17,436},{13,31,13718},{11,31,6325},{10,31,4166},
{8,29,2818},{11,31,15565},{6,31,4094},{4,30,15},{3,24,4118},{0,31,12355},{0,24,4578},{17,31,5738},{15,31,1517},{14,30,261},{12,29,474},{31,2,9669},{7,31,3761},{4,30,14},{0,24,3554},{30,17,9669},{0,24,3554},{10,31,4085},{10,31,4085},{10,31,4085},{9,27,2690},{7,31,3285},{4,30,14},{4,30,14},{4,20,261},{0,24,3330},{0,20,514},{14,31,208},{14,31,208},{14,31,208},{13,25,0},{25,1,2178},
{5,29,0},{5,29,0},{0,21,64},{27,12,2178},{0,21,64},{28,20,2665},{18,31,829},{17,30,5},{3,30,2},{28,20,2665},{28,24,2665},{3,30,2},{0,25,2689},{28,24,2665},{0,25,2689},{9,0,2689},{9,0,2689},{9,0,2689},{9,0,2689},{4,31,1},{4,31,1},{4,31,1},{4,18,5},{0,18,306},{0,18,306},{14,31,14378},{12,31,7006},{11,31,4226},{9,30,2818},{12,31,16054},{7,31,4578},{5,31,15},
{4,25,4099},{0,31,12051},{0,25,4089},{19,31,5970},{16,31,1953},{15,31,261},{13,30,474},{31,5,9669},{10,31,4081},{5,31,14},{0,25,3413},{31,18,9669},{0,25,3413},{11,31,4225},{11,31,4225},{11,31,4225},{10,28,2689},{8,31,3476},{5,31,14},{5,31,14},{5,21,261},{0,26,3091},{0,21,289},{15,31,260},{15,31,260},{15,31,260},{14,26,0},{27,0,2178},{6,30,0},{6,30,0},{0,22,25},{30,12,2178},
{0,22,25},{29,21,2665},{20,31,1037},{18,31,5},{4,31,1},{29,21,2665},{31,24,2665},{4,31,1},{0,26,2689},{31,24,2665},{0,26,2689},{10,0,2689},{10,0,2689},{10,0,2689},{10,0,2689},{5,31,10},{5,31,10},{5,31,10},{5,19,5},{0,20,194},{0,20,194},{15,31,13557},{13,31,7094},{12,31,4421},{10,31,2769},{13,31,15228},{8,31,4270},{6,31,46},{5,26,3476},{0,31,11020},{0,26,3108},{20,31,5400},
{17,31,1931},{16,31,337},{15,30,320},{31,7,8712},{11,31,3630},{7,31,0},{0,26,2667},{31,19,8712},{0,26,2667},{12,31,4421},{12,31,4421},{12,31,4421},{11,29,2689},{9,31,3722},{6,31,46},{6,31,46},{6,22,261},{0,27,2882},{0,22,173},{16,31,337},{16,31,337},{16,31,337},{15,27,0},{28,1,2178},{7,31,0},{7,31,0},{0,23,9},{31,13,2178},{0,23,9},{31,19,2178},{22,31,881},{19,31,0},
{7,31,0},{31,19,2178},{31,25,2178},{7,31,0},{0,27,2178},{31,25,2178},{0,27,2178},{11,0,2689},{11,0,2689},{11,0,2689},{11,0,2689},{6,31,37},{6,31,37},{6,31,37},{6,19,10},{0,22,109},{0,22,109},{16,31,12678},{14,31,7003},{13,31,4693},{12,31,2714},{15,31,14026},{10,31,3943},{8,31,94},{6,26,2766},{2,31,10074},{0,27,2146},{20,31,4698},{19,31,1746},{17,31,464},{16,30,164},{29,13,7578},
{12,31,3090},{9,31,20},{0,27,1921},{31,20,7578},{0,27,1921},{13,31,4693},{13,31,4693},{13,31,4693},{12,30,2690},{11,31,3939},{8,31,94},{8,31,94},{7,23,254},{0,29,2650},{0,24,49},{17,31,464},{17,31,464},{17,31,464},{16,28,0},{28,4,2178},{9,31,20},{9,31,20},{0,24,0},{28,16,2178},{0,24,0},{31,21,1625},{23,31,653},{21,31,4},{10,31,1},{31,21,1625},{31,26,1625},{10,31,1},
{0,27,1665},{31,26,1625},{0,27,1665},{12,0,2689},{12,0,2689},{12,0,2689},{12,0,2689},{8,31,58},{8,31,58},{8,31,58},{7,21,8},{0,24,49},{0,24,49},{17,31,12042},{15,31,6882},{15,31,4946},{13,31,2690},{16,31,13127},{11,31,3615},{9,31,229},{7,27,2174},{3,31,9313},{0,27,1458},{21,31,4150},{19,31,1634},{19,31,545},{17,30,89},{31,11,6661},{14,31,2654},{11,31,61},{0,28,1397},{31,21,6661},
{0,28,1397},{15,31,4946},{15,31,4946},{15,31,4946},{13,31,2690},{12,31,4170},{9,31,229},{9,31,229},{8,24,261},{0,31,2520},{0,25,10},{19,31,545},{19,31,545},{19,31,545},{17,29,0},{29,5,2178},{11,31,61},{11,31,61},{1,25,0},{31,16,2178},{1,25,0},{31,22,1201},{24,31,482},{22,31,1},{13,31,1},{31,22,1201},{30,27,1201},{13,31,1},{0,28,1201},{30,27,1201},{0,28,1201},{13,0,2689},
{13,0,2689},{13,0,2689},{13,0,2689},{9,31,85},{9,31,85},{9,31,85},{8,22,5},{0,25,10},{0,25,10},{18,31,11474},{16,31,6867},{15,31,5138},{14,31,2725},{16,31,12279},{12,31,3410},{10,31,419},{8,27,1718},{4,31,8678},{0,28,905},{23,31,3626},{20,31,1550},{20,31,650},{18,31,25},{29,17,5829},{15,31,2306},{12,31,130},{0,28,901},{27,24,5829},{0,28,901},{15,31,5138},{15,31,5138},{15,31,5138},
{14,31,2725},{13,31,4452},{10,31,419},{10,31,419},{9,25,261},{0,31,2520},{1,26,10},{20,31,650},{20,31,650},{20,31,650},{18,30,0},{31,4,2178},{12,31,130},{12,31,130},{2,26,0},{30,18,2178},{2,26,0},{31,23,845},{25,31,353},{23,31,9},{16,31,0},{31,23,845},{31,27,845},{16,31,0},{0,28,865},{31,27,845},{0,28,865},{14,0,2689},{14,0,2689},{14,0,2689},{14,0,2689},{10,31,130},
{10,31,130},{10,31,130},{9,23,5},{0,27,1},{0,27,1},{19,31,10774},{17,31,6962},{16,31,5378},{15,31,2810},{17,31,11598},{12,31,3346},{12,31,642},{9,28,1222},{6,31,8113},{0,29,570},{23,31,3146},{22,31,1539},{21,31,773},{19,31,0},{31,15,5082},{16,31,2034},{14,31,221},{0,29,554},{31,23,5082},{0,29,554},{16,31,5378},{16,31,5378},{16,31,5378},{15,31,2810},{15,31,4746},{12,31,642},{12,31,642},
{10,26,261},{2,31,2714},{2,27,10},{21,31,773},{21,31,773},{21,31,773},{19,31,0},{31,7,2178},{14,31,221},{14,31,221},{3,27,0},{31,19,2178},{3,27,0},{31,25,545},{26,31,221},{25,31,0},{19,31,0},{31,25,545},{31,28,545},{19,31,0},{0,29,545},{31,28,545},{0,29,545},{15,0,2689},{15,0,2689},{15,0,2689},{15,0,2689},{11,31,170},{11,31,170},{11,31,170},{10,23,10},{1,28,1},
{1,28,1},{20,31,10225},{18,31,7025},{18,31,5729},{16,31,2978},{19,31,10792},{14,31,3283},{13,31,982},{10,29,861},{8,31,7588},{2,29,325},{24,31,2729},{23,31,1460},{22,31,932},{20,31,36},{29,21,4344},{19,31,1746},{16,31,353},{2,29,321},{31,24,4344},{2,29,321},{18,31,5729},{18,31,5729},{18,31,5729},{16,31,2978},{16,31,5028},{13,31,982},{13,31,982},{11,27,254},{4,31,2981},{3,28,10},{22,31,932},
{22,31,932},{22,31,932},{20,31,36},{28,16,2178},{16,31,353},{16,31,353},{4,28,0},{24,24,2178},{4,28,0},{31,27,290},{27,31,125},{27,31,4},{22,31,1},{31,27,290},{31,29,290},{22,31,1},{0,29,320},{31,29,290},{0,29,320},{16,0,2689},{16,0,2689},{16,0,2689},{16,0,2689},{12,31,245},{12,31,245},{12,31,245},{11,25,8},{2,29,5},{2,29,5},{20,31,9825},{19,31,7014},{19,31,5925},
{17,31,3218},{20,31,10245},{15,31,3285},{14,31,1330},{11,29,612},{10,31,7225},{3,30,133},{25,31,2467},{24,31,1470},{23,31,1040},{21,31,144},{31,19,3779},{20,31,1580},{18,31,500},{3,30,129},{31,25,3779},{3,30,129},{19,31,5925},{19,31,5925},{19,31,5925},{17,31,3218},{17,31,5346},{14,31,1330},{14,31,1330},{12,28,261},{6,31,3267},{4,29,10},{23,31,1040},{23,31,1040},{23,31,1040},{21,31,144},{29,17,2178},
{18,31,500},{18,31,500},{5,29,0},{27,24,2178},{5,29,0},{31,28,128},{29,31,61},{28,31,0},{25,31,1},{31,28,128},{30,30,128},{25,31,1},{0,30,128},{30,30,128},{0,30,128},{17,0,2689},{17,0,2689},{17,0,2689},{17,0,2689},{13,31,338},{13,31,338},{13,31,338},{12,26,5},{3,30,5},{3,30,5},{21,31,9523},{20,31,7109},{20,31,6209},{18,31,3473},{20,31,9749},{16,31,3410},{15,31,1717},
{12,30,401},{11,31,6964},{4,31,65},{26,31,2273},{25,31,1539},{24,31,1189},{23,31,260},{29,25,3299},{22,31,1490},{20,31,680},{6,30,64},{27,28,3299},{6,30,64},{20,31,6209},{20,31,6209},{20,31,6209},{18,31,3473},{18,31,5700},{15,31,1717},{15,31,1717},{13,29,261},{8,31,3587},{5,30,10},{24,31,1189},{24,31,1189},{24,31,1189},{23,31,260},{31,16,2178},{20,31,680},{20,31,680},{6,30,0},{30,24,2178},
{6,30,0},{31,30,34},{30,31,13},{30,31,4},{28,31,0},{31,30,34},{30,31,34},{28,31,0},{0,30,64},{30,31,34},{0,30,64},{18,0,2689},{18,0,2689},{18,0,2689},{18,0,2689},{15,31,421},{15,31,421},{15,31,421},{13,27,5},{4,31,1},{4,31,1},{23,31,9201},{21,31,7314},{21,31,6530},{19,31,3778},{21,31,9420},{18,31,3652},{16,31,2193},{14,30,325},{14,31,6804},{6,31,10},{27,31,2057},
{26,31,1605},{25,31,1378},{24,31,442},{31,23,2904},{23,31,1452},{22,31,881},{7,31,0},{31,27,2904},{7,31,0},{21,31,6530},{21,31,6530},{21,31,6530},{19,31,3778},{19,31,5956},{16,31,2193},{16,31,2193},{14,30,261},{10,31,3957},{6,31,10},{25,31,1378},{25,31,1378},{25,31,1378},{24,31,442},{31,19,2178},{22,31,881},{22,31,881},{7,31,0},{31,25,2178},{7,31,0},{31,31,0},{31,31,0},{31,31,0},
{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{19,0,2689},{19,0,2689},{19,0,2689},{19,0,2689},{16,31,512},{16,31,512},{16,31,512},{14,27,10},{6,31,10},{6,31,10},{23,31,8049},{22,31,6550},{22,31,5925},{20,31,3589},{23,31,8137},{19,31,3220},{18,31,2050},{15,31,173},{15,31,5805},{8,31,52},{27,31,1544},{27,31,1181},{26,31,1040},{25,31,353},{31,24,2166},
{24,31,1083},{23,31,653},{10,31,1},{30,28,2166},{10,31,1},{22,31,5925},{22,31,5925},{22,31,5925},{20,31,3589},{20,31,5209},{18,31,2050},{18,31,2050},{15,30,117},{12,31,3405},{8,31,52},{26,31,1040},{26,31,1040},{26,31,1040},{25,31,353},{31,21,1625},{23,31,653},{23,31,653},{10,31,1},{31,26,1625},{10,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{20,0,2689},{20,0,2689},{20,0,2689},{20,0,2689},{17,31,625},{17,31,625},{17,31,625},{15,29,8},{8,31,52},{8,31,52},{24,31,7177},{23,31,5845},{23,31,5361},{21,31,3473},{23,31,7033},{20,31,2945},{19,31,1907},{16,31,65},{16,31,5026},{10,31,117},{28,31,1137},{27,31,861},{27,31,740},{26,31,260},{29,29,1601},{26,31,833},{24,31,482},{13,31,1},{31,28,1601},
{13,31,1},{23,31,5361},{23,31,5361},{23,31,5361},{21,31,3473},{21,31,4661},{19,31,1907},{19,31,1907},{16,31,65},{14,31,2997},{10,31,117},{27,31,740},{27,31,740},{27,31,740},{26,31,260},{31,22,1201},{24,31,482},{24,31,482},{13,31,1},{30,27,1201},{13,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{21,0,2689},
{21,0,2689},{21,0,2689},{21,0,2689},{18,31,754},{18,31,754},{18,31,754},{16,30,5},{10,31,117},{10,31,117},{24,31,6393},{24,31,5310},{23,31,4865},{22,31,3314},{24,31,6146},{20,31,2737},{20,31,1837},{17,31,5},{18,31,4381},{11,31,212},{28,31,801},{28,31,609},{28,31,545},{27,31,185},{31,26,1121},{26,31,561},{25,31,353},{16,31,0},{30,29,1121},{16,31,0},{23,31,4865},{23,31,4865},{23,31,4865},
{22,31,3314},{22,31,4181},{20,31,1837},{20,31,1837},{17,31,5},{15,31,2621},{11,31,212},{28,31,545},{28,31,545},{28,31,545},{27,31,185},{31,23,845},{25,31,353},{25,31,353},{16,31,0},{31,27,845},{16,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{22,0,2689},{22,0,2689},{22,0,2689},{22,0,2689},{19,31,850},
{19,31,850},{19,31,850},{17,31,5},{11,31,212},{11,31,212},{25,31,5683},{24,31,4782},{24,31,4421},{23,31,3173},{24,31,5314},{22,31,2563},{21,31,1844},{18,31,10},{18,31,3757},{13,31,338},{29,31,531},{28,31,401},{28,31,337},{27,31,121},{31,27,726},{27,31,363},{26,31,221},{19,31,0},{31,29,726},{19,31,0},{24,31,4421},{24,31,4421},{24,31,4421},{23,31,3173},{23,31,3657},{21,31,1844},{21,31,1844},
{18,31,10},{16,31,2321},{13,31,338},{28,31,337},{28,31,337},{28,31,337},{27,31,121},{31,25,545},{26,31,221},{26,31,221},{19,31,0},{31,28,545},{19,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{23,0,2689},{23,0,2689},{23,0,2689},{23,0,2689},{20,31,985},{20,31,985},{20,31,985},{18,31,10},{13,31,338},
{13,31,338},{2,31,10560},{0,30,1586},{0,22,173},{0,18,3826},{0,28,18065},{0,19,12194},{0,17,6081},{0,11,14098},{0,13,19386},{0,11,14998},{3,31,10216},{0,30,1586},{0,22,173},{0,18,3826},{12,4,18065},{0,19,12194},{0,17,6081},{0,11,14098},{28,0,18065},{0,11,14098},{0,17,1},{0,17,1},{0,17,1},{0,9,4},{0,9,1105},{0,7,442},{0,7,442},{0,4,680},{0,4,1230},{0,4,801},{0,17,1},
{0,17,1},{0,17,1},{0,9,4},{4,1,1105},{0,7,442},{0,7,442},{0,4,680},{9,0,1105},{0,4,680},{21,0,9248},{0,30,1586},{0,22,173},{0,18,3826},{21,0,9248},{30,6,9248},{0,18,3826},{0,14,9248},{30,6,9248},{0,14,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,31,11328},{0,31,1341},{0,23,68},
{0,19,3626},{0,30,19334},{0,20,12611},{0,18,6099},{0,12,14756},{0,14,20886},{0,12,15845},{3,31,10792},{0,31,1341},{0,23,68},{0,19,3626},{15,0,19334},{0,20,12611},{0,18,6099},{0,12,14756},{30,0,19334},{0,12,14756},{0,20,0},{0,20,0},{0,20,0},{0,10,1},{0,10,1513},{0,8,605},{0,8,605},{0,5,925},{0,5,1682},{0,4,1089},{0,20,0},{0,20,0},{0,20,0},{0,10,1},{5,0,1513},
{0,8,605},{0,8,605},{0,5,925},{10,0,1513},{0,5,925},{22,1,9248},{0,31,1341},{0,23,68},{0,19,3626},{22,1,9248},{31,7,9248},{0,19,3626},{0,15,9248},{31,7,9248},{0,15,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,31,12200},{0,31,1325},{0,24,10},{0,20,3365},{0,31,20705},{0,21,13009},{0,18,6227},
{0,13,15441},{0,15,22455},{0,13,16666},{4,31,11489},{0,31,1325},{0,24,10},{0,20,3365},{15,2,20689},{0,21,13009},{0,18,6227},{0,13,15441},{30,1,20689},{0,13,15441},{0,23,0},{0,23,0},{0,23,0},{0,11,9},{0,11,1989},{0,9,772},{0,9,772},{0,5,1213},{0,5,2194},{0,5,1382},{0,23,0},{0,23,0},{0,23,0},{0,11,9},{6,0,1985},{0,9,772},{0,9,772},{0,5,1213},{10,1,1985},
{0,5,1213},{23,2,9248},{0,31,1325},{0,24,10},{0,20,3365},{23,2,9248},{30,9,9248},{0,20,3365},{0,16,9250},{30,9,9248},{0,16,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,31,13288},{0,31,1565},{0,25,10},{0,22,3077},{1,31,22214},{0,23,13555},{0,20,6310},{0,14,16176},{0,16,24130},{0,13,17562},{4,31,12385},
{0,31,1565},{0,25,10},{0,22,3077},{17,0,22129},{0,23,13555},{0,20,6310},{0,14,16176},{30,2,22129},{0,14,16176},{0,26,0},{0,26,0},{0,26,0},{0,13,0},{0,13,2521},{0,10,1018},{0,10,1018},{0,6,1508},{0,6,2801},{0,6,1764},{0,26,0},{0,26,0},{0,26,0},{0,13,0},{6,1,2521},{0,10,1018},{0,10,1018},{0,6,1508},{13,0,2521},{0,6,1508},{23,5,9248},{0,31,1565},{0,25,10},
{0,22,3077},{23,5,9248},{31,10,9248},{0,22,3077},{0,17,9250},{31,10,9248},{0,17,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{4,31,14788},{0,31,2141},{0,27,72},{0,22,2825},{1,31,24140},{0,25,14114},{0,21,6323},{0,14,17202},{0,17,26063},{0,14,18646},{5,31,13521},{1,31,2100},{0,27,72},{0,22,2825},{16,4,23851},
{0,25,14114},{0,21,6323},{0,14,17202},{28,4,23851},{0,14,17202},{0,29,1},{0,29,1},{0,29,1},{0,15,4},{0,15,3202},{0,12,1285},{0,12,1285},{0,7,1973},{0,7,3569},{0,6,2241},{0,29,1},{0,29,1},{0,29,1},{0,15,4},{7,1,3200},{0,12,1285},{0,12,1285},{0,7,1973},{11,2,3200},{0,7,1973},{27,0,9248},{3,31,1885},{2,26,8},{0,22,2825},{27,0,9248},{30,12,9248},{0,22,2825},
{0,18,9248},{30,12,9248},{0,18,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{4,31,16228},{1,31,2836},{0,28,170},{0,24,2612},{2,31,25971},{0,25,14594},{0,22,6473},{0,16,18144},{0,17,27951},{0,14,19830},{7,31,14675},{2,31,2706},{1,27,149},{0,24,2612},{19,0,25472},{0,25,14594},{0,22,6473},{0,16,18144},{30,4,25472},
{0,16,18144},{0,31,9},{0,31,9},{0,31,9},{0,16,0},{0,16,3872},{0,13,1514},{0,13,1514},{0,7,2405},{0,7,4305},{0,7,2766},{0,31,9},{0,31,9},{0,31,9},{0,16,0},{8,0,3872},{0,13,1514},{0,13,1514},{0,7,2405},{16,0,3872},{0,7,2405},{28,1,9248},{4,31,2210},{3,27,8},{0,24,2612},{28,1,9248},{31,13,9248},{0,24,2612},{0,19,9248},{31,13,9248},{0,19,9248},{0,0,0},
{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{4,31,17796},{2,31,3702},{1,29,270},{0,25,2361},{3,31,27563},{0,27,14944},{0,23,6470},{0,17,18681},{0,19,29556},{0,16,20628},{7,31,15635},{3,31,3425},{1,29,206},{0,25,2361},{20,0,26744},{0,27,14944},{0,23,6470},{0,17,18681},{24,8,26744},{0,17,18681},{0,31,125},{0,31,125},{0,31,125},
{0,18,8},{0,18,4418},{0,14,1696},{0,14,1696},{0,8,2664},{0,8,4952},{0,8,3148},{1,31,72},{1,31,72},{1,31,72},{0,18,8},{9,0,4418},{0,14,1696},{0,14,1696},{0,8,2664},{18,0,4418},{0,8,2664},{30,0,9248},{6,31,2557},{3,28,10},{0,25,2357},{30,0,9248},{30,15,9248},{0,25,2357},{0,20,9250},{30,15,9248},{0,20,9250},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,0},
{0,1,0},{0,1,0},{0,0,4},{0,0,4},{0,0,4},{5,31,19090},{2,31,4598},{1,30,406},{0,26,2220},{3,31,28187},{0,29,14347},{0,25,5609},{0,18,18144},{0,20,29961},{0,17,20301},{8,31,16082},{4,31,4019},{2,30,206},{0,26,2220},{21,1,26744},{0,29,14347},{0,25,5609},{0,18,18144},{27,8,26744},{0,18,18144},{1,31,264},{1,31,264},{1,31,264},{1,19,72},{0,21,4418},{0,16,1412},{0,16,1412},
{0,10,2420},{0,9,5122},{0,9,2997},{2,31,117},{2,31,117},{2,31,117},{1,19,8},{10,1,4418},{0,16,1412},{0,16,1412},{0,10,2420},{21,0,4418},{0,10,2420},{31,1,9248},{8,31,2929},{4,29,10},{0,26,2120},{31,1,9248},{27,18,9248},{0,26,2120},{0,21,9250},{27,18,9248},{0,21,9250},{1,0,68},{1,0,68},{1,0,68},{1,0,68},{0,4,1},{0,4,1},{0,4,1},{0,2,0},{0,2,25},
{0,2,25},{7,31,20669},{3,31,5786},{2,31,625},{1,27,2283},{4,31,29033},{0,30,13795},{0,26,4770},{0,18,17667},{0,21,30425},{0,18,20068},{9,31,16691},{5,31,4841},{3,31,205},{1,27,2219},{23,0,26747},{0,30,13795},{0,26,4770},{0,18,17667},{30,8,26747},{0,18,17667},{2,31,589},{2,31,589},{2,31,589},{1,20,186},{0,24,4418},{0,18,1125},{0,18,1125},{0,10,2186},{0,11,5390},{0,10,2915},{3,31,169},
{3,31,169},{3,31,169},{2,20,13},{12,0,4418},{0,18,1125},{0,18,1125},{0,10,2186},{24,0,4418},{0,10,2186},{31,4,9248},{10,31,3380},{6,30,8},{0,27,1954},{31,4,9248},{30,18,9248},{0,27,1954},{0,22,9248},{30,18,9248},{0,22,9248},{1,0,185},{1,0,185},{1,0,185},{1,0,185},{0,7,0},{0,7,0},{0,7,0},{0,3,9},{0,3,73},{0,3,73},{7,31,21577},{4,31,6797},{3,31,985},
{1,28,2226},{5,31,29436},{0,31,12990},{0,27,4027},{0,20,16925},{0,23,30436},{0,18,19620},{11,31,16645},{7,31,5260},{4,31,232},{2,28,2141},{24,1,26259},{0,31,12990},{0,27,4027},{0,20,16925},{31,9,26259},{0,20,16925},{3,31,985},{3,31,985},{3,31,985},{2,21,378},{0,27,4418},{0,20,905},{0,20,905},{0,12,2005},{0,12,5635},{0,11,2950},{4,31,232},{4,31,232},{4,31,232},{3,21,13},{13,1,4418},
{0,20,905},{0,20,905},{0,12,2005},{27,0,4418},{0,12,2005},{31,7,8980},{11,31,3601},{7,31,4},{0,28,1665},{31,7,8980},{31,19,8980},{0,28,1665},{0,23,8980},{31,19,8980},{0,23,8980},{2,0,377},{2,0,377},{2,0,377},{2,0,377},{0,10,0},{0,10,0},{0,10,0},{0,5,0},{0,4,146},{0,4,146},{7,31,21193},{4,31,7053},{3,31,1481},{2,28,2093},{6,31,28313},{0,31,11406},{0,28,2965},
{0,20,15021},{0,23,28900},{0,19,17995},{11,31,15381},{7,31,4876},{5,31,325},{3,28,1786},{25,1,24371},{0,31,11406},{0,28,2965},{0,20,15021},{27,12,24371},{0,20,15021},{3,31,1481},{3,31,1481},{3,31,1481},{2,23,621},{0,30,4418},{0,21,680},{0,21,680},{0,13,1780},{0,13,5885},{0,12,2950},{5,31,325},{5,31,325},{5,31,325},{4,22,8},{15,0,4418},{0,21,680},{0,21,680},{0,13,1780},{30,0,4418},
{0,13,1780},{31,8,7938},{12,31,3188},{8,31,0},{0,29,1156},{31,8,7938},{30,20,7938},{0,29,1156},{0,23,7956},{30,20,7938},{0,23,7956},{2,0,617},{2,0,617},{2,0,617},{2,0,617},{0,13,0},{0,13,0},{0,13,0},{0,6,9},{0,5,233},{0,5,233},{8,31,20825},{5,31,7494},{4,31,2089},{2,29,1970},{7,31,27269},{0,31,10078},{0,28,2021},{0,21,13204},{0,25,27384},{0,20,16398},{12,31,14148},
{8,31,4562},{7,31,392},{4,29,1445},{26,1,22568},{0,31,10078},{0,28,2021},{0,21,13204},{31,11,22568},{0,21,13204},{4,31,2089},{4,31,2089},{4,31,2089},{3,23,946},{0,31,4468},{0,23,521},{0,23,521},{0,14,1573},{0,15,6227},{0,13,2909},{7,31,392},{7,31,392},{7,31,392},{5,23,8},{16,1,4418},{0,23,521},{0,23,521},{0,14,1573},{31,1,4418},{0,14,1573},{31,10,6964},{14,31,2785},{10,31,4},
{0,29,740},{31,10,6964},{31,20,6964},{0,29,740},{0,24,6970},{31,20,6964},{0,24,6970},{3,0,937},{3,0,937},{3,0,937},{3,0,937},{0,16,1},{0,16,1},{0,16,1},{0,8,1},{0,6,377},{0,6,377},{8,31,20717},{6,31,8012},{5,31,2958},{3,29,2057},{7,31,26243},{0,31,8890},{0,29,1154},{0,22,11325},{0,25,25854},{0,21,14671},{13,31,12926},{10,31,4313},{8,31,485},{5,29,1106},{25,5,20642},
{0,31,8890},{0,29,1154},{0,22,11325},{31,12,20642},{0,22,11325},{5,31,2958},{5,31,2958},{5,31,2958},{3,25,1361},{1,31,4644},{0,25,337},{0,25,337},{0,15,1429},{0,16,6596},{0,14,2981},{8,31,485},{8,31,485},{8,31,485},{6,24,13},{16,4,4418},{0,25,337},{0,25,337},{0,15,1429},{28,4,4418},{0,15,1429},{31,11,5941},{15,31,2377},{11,31,1},{0,30,388},{31,11,5941},{31,21,5941},{0,30,388},
{0,24,5953},{31,21,5941},{0,24,5953},{3,0,1360},{3,0,1360},{3,0,1360},{3,0,1360},{0,19,0},{0,19,0},{0,19,0},{0,10,4},{0,8,548},{0,8,548},{9,31,20713},{7,31,8575},{5,31,3806},{3,30,2260},{7,31,25603},{0,31,8106},{0,29,642},{0,22,9805},{0,26,24678},{0,21,13359},{15,31,11882},{11,31,4006},{9,31,596},{6,29,818},{28,1,19021},{2,31,8066},{0,29,642},{0,22,9805},{31,13,19021},
{0,22,9805},{5,31,3806},{5,31,3806},{5,31,3806},{4,26,1819},{2,31,4962},{0,27,232},{0,27,232},{0,16,1268},{0,17,6926},{0,15,3126},{9,31,596},{9,31,596},{9,31,596},{7,25,13},{17,5,4418},{0,27,232},{0,27,232},{0,16,1268},{31,4,4418},{0,16,1268},{31,13,5101},{16,31,2042},{13,31,4},{0,30,164},{31,13,5101},{31,22,5101},{0,30,164},{0,25,5105},{31,22,5101},{0,25,5105},{4,0,1818},
{4,0,1818},{4,0,1818},{4,0,1818},{0,22,0},{0,22,0},{0,22,0},{0,11,0},{0,9,697},{0,9,697},{10,31,20905},{7,31,9247},{6,31,4787},{4,30,2547},{8,31,25042},{1,31,7537},{0,30,264},{0,23,8449},{0,27,23521},{0,22,12141},{15,31,10794},{12,31,3786},{10,31,725},{8,29,621},{29,1,17485},{3,31,7274},{0,30,264},{0,23,8449},{27,16,17485},{0,23,8449},{6,31,4787},{6,31,4787},{6,31,4787},
{4,27,2323},{3,31,5386},{0,29,130},{0,29,130},{0,18,1096},{0,19,7364},{0,17,3225},{10,31,725},{10,31,725},{10,31,725},{8,26,8},{21,0,4418},{0,29,130},{0,29,130},{0,18,1096},{30,6,4418},{0,18,1096},{31,14,4325},{18,31,1737},{14,31,1},{0,31,64},{31,14,4325},{30,23,4325},{0,31,64},{0,25,4337},{30,23,4325},{0,25,4337},{4,0,2314},{4,0,2314},{4,0,2314},{4,0,2314},{0,25,0},
{0,25,0},{0,25,0},{0,12,4},{0,10,925},{0,10,925},{11,31,21021},{8,31,10106},{7,31,5819},{4,30,3027},{8,31,24722},{2,31,7042},{0,31,81},{0,24,7169},{0,29,22467},{0,22,11133},{16,31,9869},{12,31,3594},{11,31,821},{8,30,420},{30,1,16034},{4,31,6558},{0,31,81},{0,24,7169},{31,15,16034},{0,24,7169},{7,31,5819},{7,31,5819},{7,31,5819},{5,28,2915},{3,31,5962},{0,30,72},{0,30,72},
{0,18,968},{0,20,7781},{0,17,3305},{11,31,821},{11,31,821},{11,31,821},{9,27,8},{22,1,4418},{0,30,72},{0,30,72},{0,18,968},{31,7,4418},{0,18,968},{31,15,3617},{19,31,1450},{15,31,9},{0,31,0},{31,15,3617},{31,23,3617},{0,31,0},{0,26,3617},{31,23,3617},{0,26,3617},{5,0,2906},{5,0,2906},{5,0,2906},{5,0,2906},{0,28,1},{0,28,1},{0,28,1},{0,14,0},{0,11,1156},
{0,11,1156},{11,31,21381},{8,31,11186},{7,31,7169},{5,31,3633},{9,31,24543},{3,31,6762},{0,31,81},{0,24,5819},{0,29,21333},{0,23,10106},{17,31,8955},{14,31,3433},{12,31,980},{10,30,242},{29,5,14504},{6,31,5834},{1,31,74},{0,24,5819},{31,16,14504},{0,24,5819},{7,31,7169},{7,31,7169},{7,31,7169},{5,30,3618},{4,31,6757},{0,31,81},{0,31,81},{0,20,821},{0,21,8245},{0,18,3531},{12,31,980},
{12,31,980},{12,31,980},{10,28,13},{24,0,4418},{1,31,74},{1,31,74},{0,20,821},{24,12,4418},{0,20,821},{29,21,2888},{20,31,1156},{17,31,1},{3,31,1},{29,21,2888},{31,24,2888},{3,31,1},{0,26,2906},{31,24,2888},{0,26,2906},{5,0,3617},{5,0,3617},{5,0,3617},{5,0,3617},{0,31,0},{0,31,0},{0,31,0},{0,15,9},{0,13,1421},{0,13,1421},{12,31,21949},{9,31,12367},{8,31,8449},
{6,31,4338},{10,31,24600},{3,31,6650},{1,31,298},{0,25,4698},{0,30,20575},{0,24,9247},{17,31,8219},{15,31,3236},{13,31,1157},{11,30,122},{31,3,13235},{7,31,5260},{3,31,145},{0,25,4698},{31,17,13235},{0,25,4698},{8,31,8449},{8,31,8449},{8,31,8449},{6,31,4338},{5,31,7667},{1,31,298},{1,31,298},{0,21,680},{0,23,8779},{0,19,3786},{13,31,1157},{13,31,1157},{13,31,1157},{11,29,13},{25,1,4418},
{3,31,145},{3,31,145},{0,21,680},{27,12,4418},{0,21,680},{31,19,2314},{22,31,949},{19,31,4},{6,31,1},{31,19,2314},{31,25,2314},{6,31,1},{0,27,2314},{31,25,2314},{0,27,2314},{6,0,4337},{6,0,4337},{6,0,4337},{6,0,4337},{0,31,64},{0,31,64},{0,31,64},{0,17,0},{0,13,1709},{0,13,1709},{12,31,22557},{10,31,13585},{9,31,9926},{6,31,5186},{11,31,24636},{3,31,6794},{2,31,692},
{0,26,3723},{0,31,19836},{0,25,8442},{19,31,7417},{16,31,3126},{15,31,1268},{12,31,68},{29,9,12051},{8,31,4762},{4,31,232},{0,26,3723},{27,20,12051},{0,26,3723},{9,31,9926},{9,31,9926},{9,31,9926},{6,31,5186},{5,31,8691},{2,31,692},{2,31,692},{0,22,557},{0,25,9284},{0,21,3929},{15,31,1268},{15,31,1268},{15,31,1268},{12,30,8},{27,0,4418},{4,31,232},{4,31,232},{0,22,557},{30,12,4418},
{0,22,557},{31,20,1800},{22,31,725},{20,31,0},{9,31,1},{31,20,1800},{30,26,1800},{9,31,1},{0,27,1818},{30,26,1800},{0,27,1818},{6,0,5105},{6,0,5105},{6,0,5105},{6,0,5105},{1,31,185},{1,31,185},{1,31,185},{0,18,9},{0,15,2042},{0,15,2042},{12,31,23421},{11,31,14850},{9,31,11462},{7,31,6149},{11,31,24860},{4,31,7053},{2,31,1236},{0,26,2891},{0,31,19260},{0,25,7818},{19,31,6761},
{17,31,3107},{16,31,1429},{13,31,8},{31,7,10952},{10,31,4300},{6,31,353},{0,26,2891},{31,19,10952},{0,26,2891},{9,31,11462},{9,31,11462},{9,31,11462},{7,31,6149},{7,31,9845},{2,31,1236},{2,31,1236},{0,23,485},{0,25,9764},{0,21,4185},{16,31,1429},{16,31,1429},{16,31,1429},{13,31,8},{28,1,4418},{6,31,353},{6,31,353},{0,23,485},{31,13,4418},{0,23,485},{31,22,1354},{23,31,548},{22,31,4},
{12,31,0},{31,22,1354},{30,27,1354},{12,31,0},{0,28,1360},{30,27,1354},{0,28,1360},{7,0,5953},{7,0,5953},{7,0,5953},{7,0,5953},{1,31,425},{1,31,425},{1,31,425},{0,20,1},{0,17,2372},{0,17,2372},{13,31,24507},{11,31,16398},{10,31,13349},{8,31,7460},{11,31,25418},{4,31,7647},{3,31,2021},{0,27,2089},{0,31,18918},{0,26,7302},{20,31,6098},{18,31,3037},{17,31,1640},{14,31,25},{29,13,9818},
{12,31,3874},{8,31,521},{0,27,2089},{31,20,9818},{0,27,2089},{10,31,13349},{10,31,13349},{10,31,13349},{8,31,7460},{7,31,11195},{3,31,2021},{3,31,2021},{0,24,392},{0,27,10472},{0,23,4562},{17,31,1640},{17,31,1640},{17,31,1640},{14,31,25},{28,4,4418},{8,31,521},{8,31,521},{0,24,392},{28,16,4418},{0,24,392},{31,23,925},{24,31,386},{23,31,1},{15,31,1},{31,23,925},{31,27,925},{15,31,1},
{0,28,937},{31,27,925},{0,28,937},{7,0,6970},{7,0,6970},{7,0,6970},{7,0,6970},{2,31,785},{2,31,785},{2,31,785},{0,22,4},{0,17,2741},{0,17,2741},{14,31,25663},{12,31,17995},{11,31,15021},{8,31,8740},{12,31,26003},{6,31,8399},{3,31,2965},{0,28,1481},{0,31,18886},{0,26,7014},{21,31,5634},{19,31,2950},{18,31,1853},{16,31,72},{31,11,8901},{14,31,3578},{10,31,698},{0,28,1481},{31,21,8901},
{0,28,1481},{11,31,15021},{11,31,15021},{11,31,15021},{8,31,8740},{8,31,12646},{3,31,2965},{3,31,2965},{0,26,292},{0,29,11051},{0,24,4876},{18,31,1853},{18,31,1853},{18,31,1853},{16,31,72},{29,5,4418},{10,31,698},{10,31,698},{0,26,292},{31,16,4418},{0,26,292},{31,25,613},{26,31,245},{25,31,4},{18,31,1},{31,25,613},{27,30,613},{18,31,1},{0,29,617},{27,30,613},{0,29,617},{8,0,7956},
{8,0,7956},{8,0,7956},{8,0,7956},{3,31,1201},{3,31,1201},{3,31,1201},{0,23,0},{0,18,3185},{0,18,3185},{15,31,26715},{12,31,19659},{11,31,16925},{9,31,10232},{12,31,26835},{6,31,9215},{4,31,4027},{0,28,985},{0,31,19110},{0,27,6797},{22,31,5238},{20,31,2950},{19,31,2005},{17,31,180},{29,17,8069},{15,31,3314},{11,31,905},{0,28,985},{27,24,8069},{0,28,985},{11,31,16925},{11,31,16925},{11,31,16925},
{9,31,10232},{8,31,14182},{4,31,4027},{4,31,4027},{0,27,232},{0,29,11627},{0,25,5117},{19,31,2005},{19,31,2005},{19,31,2005},{17,31,180},{31,4,4418},{11,31,905},{11,31,905},{0,27,232},{30,18,4418},{0,27,232},{31,26,365},{27,31,146},{26,31,1},{21,31,1},{31,26,365},{30,29,365},{21,31,1},{0,29,377},{30,29,365},{0,29,377},{8,0,8980},{8,0,8980},{8,0,8980},{8,0,8980},{3,31,1665},
{3,31,1665},{3,31,1665},{0,24,4},{0,20,3601},{0,20,3601},{15,31,26555},{13,31,20326},{12,31,17723},{10,31,10897},{13,31,26598},{7,31,9527},{5,31,4934},{0,29,590},{0,31,18606},{0,28,5786},{23,31,4770},{21,31,3041},{20,31,2210},{18,31,325},{31,15,7322},{16,31,3126},{14,31,1145},{0,29,554},{31,23,7322},{0,29,554},{12,31,17723},{12,31,17723},{12,31,17723},{10,31,10897},{9,31,15092},{5,31,4934},{5,31,4934},
{0,28,205},{0,31,11381},{0,26,4709},{20,31,2210},{20,31,2210},{20,31,2210},{18,31,325},{31,7,4418},{14,31,1145},{14,31,1145},{0,28,169},{31,19,4418},{0,28,169},{31,27,185},{28,31,73},{27,31,9},{24,31,0},{31,27,185},{31,29,185},{24,31,0},{0,30,185},{31,29,185},{0,30,185},{9,0,9248},{9,0,9248},{9,0,9248},{9,0,9248},{4,31,1954},{4,31,1954},{4,31,1954},{1,25,8},{0,21,3330},
{0,21,3330},{16,31,25958},{15,31,20468},{13,31,18321},{11,31,11371},{15,31,25748},{8,31,9863},{7,31,5684},{1,30,373},{0,31,18111},{0,29,4452},{24,31,4437},{23,31,3084},{22,31,2500},{19,31,554},{29,21,6584},{18,31,2996},{15,31,1412},{0,30,237},{31,24,6584},{0,30,237},{13,31,18321},{13,31,18321},{13,31,18321},{11,31,11371},{11,31,15661},{7,31,5684},{7,31,5684},{1,29,206},{0,31,10886},{0,27,4019},{22,31,2500},
{22,31,2500},{22,31,2500},{19,31,554},{28,16,4418},{15,31,1412},{15,31,1412},{0,29,100},{24,24,4418},{0,29,100},{31,29,52},{30,31,25},{29,31,1},{27,31,1},{31,29,52},{31,30,52},{27,31,1},{0,30,68},{31,30,52},{0,30,68},{10,0,9250},{10,0,9250},{10,0,9250},{10,0,9250},{5,31,2197},{5,31,2197},{5,31,2197},{2,27,5},{0,23,2929},{0,23,2929},{17,31,25604},{15,31,20628},{15,31,18692},
{12,31,11876},{16,31,25201},{10,31,10381},{8,31,6470},{2,30,270},{2,31,17924},{0,29,3588},{25,31,4259},{23,31,3148},{23,31,2664},{20,31,820},{31,19,6019},{19,31,2950},{16,31,1717},{0,30,125},{31,25,6019},{0,30,125},{15,31,18692},{15,31,18692},{15,31,18692},{12,31,11876},{12,31,16244},{8,31,6470},{8,31,6470},{2,30,206},{0,31,10854},{0,29,3332},{23,31,2664},{23,31,2664},{23,31,2664},{20,31,820},{29,17,4418},
{16,31,1717},{16,31,1717},{0,30,61},{27,24,4418},{0,30,61},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{31,31,4},{30,31,1},{0,31,4},{31,31,4},{0,31,4},{11,0,9250},{11,0,9250},{11,0,9250},{11,0,9250},{6,31,2440},{6,31,2440},{6,31,2440},{3,27,10},{0,25,2509},{0,25,2509},{18,31,24418},{16,31,19831},{15,31,18144},{13,31,11876},{16,31,23685},{11,31,10015},{8,31,6638},
{3,31,170},{3,31,16879},{0,30,2738},{25,31,3699},{24,31,2766},{24,31,2405},{21,31,820},{31,20,5164},{20,31,2584},{18,31,1552},{0,31,9},{30,26,5164},{0,31,9},{15,31,18144},{15,31,18144},{15,31,18144},{13,31,11876},{12,31,15696},{8,31,6638},{8,31,6638},{4,30,132},{0,31,10150},{0,29,2624},{24,31,2405},{24,31,2405},{24,31,2405},{21,31,820},{31,15,3872},{18,31,1552},{18,31,1552},{0,31,9},{31,23,3872},
{0,31,9},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{12,0,9248},{12,0,9248},{12,0,9248},{12,0,9248},{7,31,2612},{7,31,2612},{7,31,2612},{4,28,8},{0,27,2210},{0,27,2210},{19,31,22762},{17,31,18876},{16,31,17222},{14,31,11585},{17,31,22068},{11,31,9551},{10,31,6509},{5,31,68},{4,31,15612},{0,30,2098},{26,31,3089},
{24,31,2334},{24,31,1973},{22,31,661},{29,25,4267},{22,31,2150},{19,31,1285},{2,31,0},{27,28,4267},{2,31,0},{16,31,17222},{16,31,17222},{16,31,17222},{14,31,11585},{13,31,14786},{10,31,6509},{10,31,6509},{5,31,68},{0,31,9366},{0,30,2034},{24,31,1973},{24,31,1973},{24,31,1973},{22,31,661},{31,16,3202},{19,31,1285},{19,31,1285},{2,31,0},{30,24,3202},{2,31,0},{31,31,0},{31,31,0},{31,31,0},
{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{13,0,9248},{13,0,9248},{13,0,9248},{13,0,9248},{8,31,2845},{8,31,2845},{8,31,2845},{5,29,8},{0,29,1856},{0,29,1856},{19,31,21160},{18,31,17776},{17,31,16329},{15,31,11282},{17,31,20358},{12,31,9098},{11,31,6310},{6,31,5},{6,31,14287},{0,31,1565},{27,31,2412},{25,31,1862},{25,31,1573},{23,31,509},{28,28,3361},
{22,31,1691},{20,31,1021},{5,31,1},{28,28,3361},{5,31,1},{17,31,16329},{17,31,16329},{17,31,16329},{15,31,11282},{15,31,13658},{11,31,6310},{11,31,6310},{6,31,5},{2,31,8690},{0,31,1565},{25,31,1573},{25,31,1573},{25,31,1573},{23,31,509},{31,18,2521},{20,31,1021},{20,31,1021},{5,31,1},{30,25,2521},{5,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{14,0,9250},{14,0,9250},{14,0,9250},{14,0,9250},{9,31,3176},{9,31,3176},{9,31,3176},{6,31,5},{0,30,1556},{0,30,1556},{20,31,19810},{19,31,16741},{18,31,15584},{16,31,11057},{19,31,18721},{14,31,8860},{12,31,6234},{7,31,10},{7,31,13210},{0,31,1325},{27,31,1868},{26,31,1464},{26,31,1268},{24,31,397},{31,23,2649},{23,31,1329},{22,31,794},{8,31,0},{31,27,2649},
{8,31,0},{18,31,15584},{18,31,15584},{18,31,15584},{16,31,11057},{15,31,12858},{12,31,6234},{12,31,6234},{7,31,10},{3,31,8150},{0,31,1325},{26,31,1268},{26,31,1268},{26,31,1268},{24,31,397},{31,19,1989},{22,31,794},{22,31,794},{8,31,0},{31,25,1989},{8,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{15,0,9250},
{15,0,9250},{15,0,9250},{15,0,9250},{11,31,3365},{11,31,3365},{11,31,3365},{7,31,10},{0,31,1325},{0,31,1325},{20,31,18626},{19,31,15845},{19,31,14756},{17,31,10897},{19,31,17297},{15,31,8442},{13,31,6285},{8,31,68},{8,31,12227},{0,31,1341},{27,31,1452},{27,31,1089},{27,31,968},{25,31,325},{31,24,2018},{24,31,1011},{23,31,605},{11,31,0},{30,28,2018},{11,31,0},{19,31,14756},{19,31,14756},{19,31,14756},
{17,31,10897},{16,31,12077},{13,31,6285},{13,31,6285},{8,31,68},{4,31,7686},{0,31,1341},{27,31,968},{27,31,968},{27,31,968},{25,31,325},{31,21,1513},{23,31,605},{23,31,605},{11,31,0},{31,26,1513},{11,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{16,0,9248},{16,0,9248},{16,0,9248},{16,0,9248},{12,31,3626},
{12,31,3626},{12,31,3626},{8,31,68},{0,31,1341},{0,31,1341},{21,31,17476},{20,31,14998},{20,31,14098},{18,31,10672},{20,31,16018},{15,31,8154},{15,31,6218},{9,31,200},{10,31,11338},{0,31,1613},{28,31,1041},{27,31,801},{27,31,680},{26,31,232},{29,29,1473},{26,31,753},{24,31,442},{14,31,0},{31,28,1473},{14,31,0},{20,31,14098},{20,31,14098},{20,31,14098},{18,31,10672},{17,31,11453},{15,31,6218},{15,31,6218},
{9,31,200},{6,31,7270},{0,31,1613},{27,31,680},{27,31,680},{27,31,680},{26,31,232},{28,28,1105},{24,31,442},{24,31,442},{14,31,0},{28,28,1105},{14,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{17,0,9248},{17,0,9248},{17,0,9248},{17,0,9248},{13,31,3929},{13,31,3929},{13,31,3929},{9,31,200},{0,31,1613},
{0,31,1613},
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_transcoder_tables_atc_56.inc | {0,3,20},{0,3,5},{0,2,1},{0,2,9},{0,2,35},{0,2,27},{0,1,17},{0,1,24},{0,1,41},{0,1,25},{0,3,20},{0,3,5},{0,2,1},{0,2,9},{0,2,35},{0,2,27},{0,1,17},{0,1,24},{1,0,35},{0,1,24},{0,1,1},{0,1,1},{0,1,1},{0,1,0},{0,1,2},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,1,0},{0,1,2},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{1,0,18},{0,3,5},{0,2,1},{0,2,9},{1,0,18},{1,1,18},{0,2,9},{0,1,20},{1,1,18},{0,1,20},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,9,54},{0,7,37},{0,4,52},
{0,4,36},{0,7,52},{0,5,21},{0,4,0},{0,3,21},{0,4,88},{0,3,37},{1,5,24},{1,5,9},{1,4,5},{1,4,13},{2,1,51},{0,5,21},{0,4,0},{0,3,21},{3,1,51},{0,3,21},{0,7,36},{0,7,36},{0,7,36},{0,4,36},{0,5,10},{0,4,0},{0,4,0},{0,2,5},{0,3,26},{0,2,14},{1,3,5},{1,3,5},{1,3,5},{1,3,4},{1,2,8},
{0,4,0},{0,4,0},{0,2,5},{2,1,8},{0,2,5},{2,2,18},{0,7,1},{1,4,1},{0,4,0},{2,2,18},{2,3,18},{0,4,0},{0,3,20},{2,3,18},{0,3,20},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,4,0},{0,4,0},{0,4,0},{0,2,1},{0,2,10},{0,2,10},{1,11,54},{1,9,37},{1,6,52},{1,6,36},{1,9,52},{1,7,21},{1,6,0},
{1,5,21},{0,7,63},{0,5,25},{2,7,24},{2,7,9},{2,6,5},{2,6,13},{3,3,51},{1,7,21},{1,6,0},{1,5,21},{4,3,51},{1,5,21},{1,9,36},{1,9,36},{1,9,36},{1,6,36},{1,7,10},{1,6,0},{1,6,0},{1,4,5},{0,6,11},{0,5,9},{2,5,5},{2,5,5},{2,5,5},{2,5,4},{3,1,8},{1,6,0},{1,6,0},{1,4,5},{3,3,8},
{1,4,5},{3,4,18},{1,9,1},{2,6,1},{1,6,0},{3,4,18},{7,0,18},{1,6,0},{0,5,20},{7,0,18},{0,5,20},{1,0,36},{1,0,36},{1,0,36},{1,0,36},{1,6,0},{1,6,0},{1,6,0},{1,4,1},{0,6,2},{0,6,2},{2,13,54},{2,11,37},{2,8,52},{2,8,36},{2,11,52},{2,9,21},{2,8,0},{2,7,21},{0,11,51},{1,7,25},{3,9,24},
{3,9,9},{3,8,5},{3,8,13},{5,1,51},{2,9,21},{2,8,0},{2,7,21},{9,0,51},{2,7,21},{2,11,36},{2,11,36},{2,11,36},{2,8,36},{2,9,10},{2,8,0},{2,8,0},{2,6,5},{1,8,11},{1,7,9},{3,7,5},{3,7,5},{3,7,5},{3,7,4},{3,6,8},{2,8,0},{2,8,0},{2,6,5},{8,0,8},{2,6,5},{4,6,18},{2,11,1},{3,8,1},
{2,8,0},{4,6,18},{8,2,18},{2,8,0},{0,7,20},{8,2,18},{0,7,20},{2,0,36},{2,0,36},{2,0,36},{2,0,36},{2,8,0},{2,8,0},{2,8,0},{2,6,1},{1,8,2},{1,8,2},{3,15,70},{3,13,51},{4,10,69},{3,10,52},{3,14,52},{3,12,25},{3,10,4},{3,9,27},{1,13,53},{2,10,26},{4,12,22},{4,11,12},{4,10,5},{4,10,9},{6,4,51},
{2,13,22},{3,10,3},{3,9,26},{11,1,51},{3,9,26},{3,13,51},{3,13,51},{3,13,51},{3,10,51},{3,12,9},{3,11,2},{3,11,2},{3,9,2},{2,11,9},{3,9,10},{4,10,4},{4,10,4},{4,10,4},{4,9,5},{6,2,8},{3,11,1},{3,11,1},{3,9,1},{11,0,8},{3,9,1},{7,2,18},{3,13,1},{4,10,1},{3,10,2},{7,2,18},{11,2,18},{3,10,2},
{0,9,26},{11,2,18},{0,9,26},{3,0,50},{3,0,50},{3,0,50},{3,0,50},{3,11,1},{3,11,1},{3,11,1},{3,9,1},{2,10,0},{2,10,0},{4,17,54},{4,15,36},{4,13,54},{4,12,38},{4,15,52},{4,14,24},{4,12,3},{4,11,26},{2,15,53},{3,12,26},{5,14,22},{5,13,12},{5,12,5},{5,12,9},{8,2,51},{3,15,22},{4,12,3},{4,11,26},{12,3,51},
{4,11,26},{4,15,36},{4,15,36},{4,15,36},{4,12,37},{4,14,8},{4,12,2},{4,12,2},{4,11,1},{3,13,9},{3,11,14},{5,12,4},{5,12,4},{5,12,4},{5,11,5},{8,0,8},{4,12,2},{4,12,2},{4,11,1},{11,3,8},{4,11,1},{9,0,18},{4,15,0},{5,12,1},{4,12,2},{9,0,18},{15,0,18},{4,12,2},{0,11,26},{15,0,18},{0,11,26},{4,0,36},
{4,0,36},{4,0,36},{4,0,36},{4,12,1},{4,12,1},{4,12,1},{4,11,0},{3,12,0},{3,12,0},{5,19,54},{5,17,37},{5,15,54},{5,14,38},{5,17,52},{5,15,27},{5,14,3},{5,13,26},{3,17,52},{4,14,26},{6,15,24},{6,15,12},{6,14,5},{6,14,9},{10,1,51},{4,17,21},{5,14,3},{5,13,26},{17,0,51},{5,13,26},{5,17,36},{5,17,36},{5,17,36},
{5,14,37},{5,15,10},{5,14,2},{5,14,2},{5,13,1},{4,15,12},{4,13,11},{6,14,4},{6,14,4},{6,14,4},{6,13,5},{9,2,8},{5,14,2},{5,14,2},{5,13,1},{16,0,8},{5,13,1},{10,2,18},{5,17,1},{6,14,1},{5,14,2},{10,2,18},{16,2,18},{5,14,2},{0,13,26},{16,2,18},{0,13,26},{5,0,36},{5,0,36},{5,0,36},{5,0,36},{5,14,1},
{5,14,1},{5,14,1},{5,13,0},{4,14,0},{4,14,0},{6,21,54},{6,19,37},{6,16,52},{6,16,36},{6,19,52},{6,17,21},{6,16,0},{6,15,26},{4,19,51},{5,15,36},{7,17,24},{7,17,9},{7,16,5},{7,16,13},{11,3,51},{6,17,21},{6,16,0},{6,15,26},{18,2,51},{6,15,26},{6,19,36},{6,19,36},{6,19,36},{6,16,36},{6,17,10},{6,16,0},{6,16,0},
{6,15,1},{5,16,11},{5,15,11},{7,15,5},{7,15,5},{7,15,5},{7,15,5},{11,1,8},{6,16,0},{6,16,0},{6,15,1},{17,2,8},{6,15,1},{11,4,18},{6,19,1},{7,16,1},{6,16,0},{11,4,18},{17,4,18},{6,16,0},{0,15,26},{17,4,18},{0,15,26},{6,0,36},{6,0,36},{6,0,36},{6,0,36},{6,16,0},{6,16,0},{6,16,0},{6,15,0},{5,16,2},
{5,16,2},{7,23,70},{7,21,51},{8,18,69},{7,18,52},{7,22,52},{7,20,25},{7,18,4},{7,17,27},{5,21,53},{6,18,26},{8,20,22},{8,19,12},{8,18,5},{8,18,9},{13,2,51},{6,21,22},{7,18,3},{7,17,26},{21,2,51},{7,17,26},{7,21,51},{7,21,51},{7,21,51},{7,18,51},{7,20,9},{7,19,2},{7,19,2},{7,17,2},{6,19,9},{7,17,10},{8,18,4},
{8,18,4},{8,18,4},{8,17,5},{13,0,8},{7,19,1},{7,19,1},{7,17,1},{20,2,8},{7,17,1},{14,0,18},{7,21,1},{8,18,1},{7,18,2},{14,0,18},{20,4,18},{7,18,2},{0,17,26},{20,4,18},{0,17,26},{7,0,50},{7,0,50},{7,0,50},{7,0,50},{7,19,1},{7,19,1},{7,19,1},{7,17,1},{6,18,0},{6,18,0},{8,25,54},{8,23,36},{8,21,54},
{8,20,38},{8,24,51},{8,22,24},{8,20,3},{8,19,26},{6,23,53},{7,20,26},{9,22,22},{9,21,12},{9,20,5},{9,20,9},{14,4,51},{7,23,22},{8,20,3},{8,19,26},{25,0,51},{8,19,26},{8,23,36},{8,23,36},{8,23,36},{8,20,37},{8,22,8},{8,20,2},{8,20,2},{8,19,1},{7,21,9},{7,19,14},{9,20,4},{9,20,4},{9,20,4},{9,19,5},{14,2,8},
{8,20,2},{8,20,2},{8,19,1},{24,0,8},{8,19,1},{15,2,18},{8,23,0},{9,20,1},{8,20,2},{15,2,18},{25,1,18},{8,20,2},{0,19,26},{25,1,18},{0,19,26},{8,0,36},{8,0,36},{8,0,36},{8,0,36},{8,20,1},{8,20,1},{8,20,1},{8,19,0},{7,20,0},{7,20,0},{9,27,54},{9,25,36},{9,23,54},{9,22,38},{9,26,51},{9,24,24},{9,22,3},
{9,21,26},{7,25,53},{8,22,26},{10,24,22},{10,23,12},{10,22,5},{10,22,9},{16,2,51},{8,25,19},{9,22,3},{9,21,26},{27,1,51},{9,21,26},{9,25,36},{9,25,36},{9,25,36},{9,22,37},{9,24,8},{9,22,2},{9,22,2},{9,21,1},{8,23,12},{8,21,11},{10,22,4},{10,22,4},{10,22,4},{10,21,5},{16,0,8},{9,22,2},{9,22,2},{9,21,1},{26,1,8},
{9,21,1},{17,0,18},{9,25,0},{10,22,1},{9,22,2},{17,0,18},{26,3,18},{9,22,2},{0,21,26},{26,3,18},{0,21,26},{9,0,36},{9,0,36},{9,0,36},{9,0,36},{9,22,1},{9,22,1},{9,22,1},{9,21,0},{8,22,0},{8,22,0},{10,29,54},{10,27,36},{10,25,54},{10,24,38},{10,28,51},{10,26,24},{10,24,3},{10,23,26},{8,27,52},{9,24,26},{11,26,22},
{11,25,12},{11,24,5},{11,24,9},{17,4,51},{9,27,19},{10,24,3},{10,23,26},{27,4,51},{10,23,26},{10,27,36},{10,27,36},{10,27,36},{10,24,37},{10,26,8},{10,24,2},{10,24,2},{10,23,1},{9,25,12},{9,23,11},{11,24,4},{11,24,4},{11,24,4},{11,23,5},{17,2,8},{10,24,2},{10,24,2},{10,23,1},{27,3,8},{10,23,1},{18,2,18},{10,27,0},{11,24,1},
{10,24,2},{18,2,18},{31,0,18},{10,24,2},{0,23,26},{31,0,18},{0,23,26},{10,0,36},{10,0,36},{10,0,36},{10,0,36},{10,24,1},{10,24,1},{10,24,1},{10,23,0},{9,24,0},{9,24,0},{11,31,70},{11,29,52},{11,27,70},{11,27,54},{11,30,53},{11,28,20},{11,27,5},{11,26,25},{10,28,56},{10,26,22},{12,28,22},{12,27,9},{12,26,8},{12,26,9},{19,3,51},
{11,28,19},{11,27,4},{10,26,21},{30,4,51},{10,26,21},{11,30,50},{11,30,50},{11,30,50},{11,27,50},{11,28,11},{11,27,1},{11,27,1},{11,25,2},{10,27,11},{11,25,10},{12,26,4},{12,26,4},{12,26,4},{12,25,5},{19,1,8},{11,27,0},{11,27,0},{11,25,1},{29,4,8},{11,25,1},{20,1,18},{11,29,2},{12,26,4},{11,27,4},{20,1,18},{29,6,18},{11,27,4},
{0,26,20},{29,6,18},{0,26,20},{11,0,50},{11,0,50},{11,0,50},{11,0,50},{11,27,1},{11,27,1},{11,27,1},{11,25,2},{10,26,2},{10,26,2},{12,33,54},{12,31,37},{12,29,56},{12,29,41},{12,32,51},{12,30,22},{12,29,5},{12,28,24},{11,30,56},{11,28,22},{13,30,22},{13,29,9},{13,28,8},{13,28,9},{20,5,51},{12,30,22},{12,29,5},{11,28,21},{31,6,51},
{11,28,21},{12,31,37},{12,31,37},{12,31,37},{12,29,37},{12,30,8},{12,29,1},{12,29,1},{12,27,0},{11,29,11},{12,27,9},{13,28,4},{13,28,4},{13,28,4},{13,27,5},{20,3,8},{12,29,1},{12,29,1},{12,27,0},{30,6,8},{12,27,0},{21,3,18},{12,31,1},{13,28,4},{13,28,5},{21,3,18},{30,8,18},{13,28,5},{0,28,20},{30,8,18},{0,28,20},{12,0,36},
{12,0,36},{12,0,36},{12,0,36},{12,29,0},{12,29,0},{12,29,0},{12,27,0},{11,28,2},{11,28,2},{13,35,54},{13,33,36},{13,31,56},{13,31,41},{13,34,51},{13,32,24},{13,31,5},{13,30,24},{11,33,53},{12,30,21},{14,32,22},{14,31,9},{14,30,8},{14,30,9},{23,0,51},{12,33,19},{13,31,5},{12,30,21},{31,9,51},{12,30,21},{13,33,36},{13,33,36},{13,33,36},
{13,31,37},{13,32,8},{13,31,1},{13,31,1},{13,29,0},{12,31,9},{13,29,9},{14,30,4},{14,30,4},{14,30,4},{14,29,5},{21,5,8},{13,31,1},{13,31,1},{13,29,0},{31,8,8},{13,29,0},{22,5,18},{13,33,0},{14,30,4},{14,30,5},{22,5,18},{31,10,18},{14,30,5},{0,30,20},{31,10,18},{0,30,20},{13,0,36},{13,0,36},{13,0,36},{13,0,36},{13,31,0},
{13,31,0},{13,31,0},{13,29,0},{12,30,1},{12,30,1},{14,37,54},{14,35,36},{14,33,54},{14,32,38},{14,36,51},{14,34,24},{14,32,3},{14,32,35},{12,35,52},{13,32,26},{15,34,22},{15,33,12},{15,32,5},{15,32,9},{24,2,51},{13,35,19},{14,32,3},{13,32,26},{27,17,51},{13,32,26},{14,35,36},{14,35,36},{14,35,36},{14,32,37},{14,34,8},{14,32,2},{14,32,2},
{14,31,0},{13,33,12},{14,31,9},{15,32,4},{15,32,4},{15,32,4},{15,31,5},{24,0,8},{14,32,2},{14,32,2},{14,31,0},{31,11,8},{14,31,0},{25,0,18},{14,35,0},{15,32,1},{14,32,2},{25,0,18},{31,13,18},{14,32,2},{0,32,26},{31,13,18},{0,32,26},{14,0,36},{14,0,36},{14,0,36},{14,0,36},{14,32,1},{14,32,1},{14,32,1},{14,31,0},{13,32,0},
{13,32,0},{15,40,68},{15,37,52},{15,35,70},{15,35,54},{15,38,53},{15,36,20},{15,35,5},{15,34,25},{14,36,56},{14,34,22},{16,36,22},{16,35,9},{16,34,8},{16,34,9},{26,1,51},{15,36,19},{15,35,4},{14,34,21},{30,17,51},{14,34,21},{15,38,50},{15,38,50},{15,38,50},{15,35,50},{15,36,11},{15,35,1},{15,35,1},{15,33,2},{14,35,11},{15,33,10},{16,34,4},
{16,34,4},{16,34,4},{16,33,5},{24,6,8},{15,35,0},{15,35,0},{15,33,1},{29,17,8},{15,33,1},{25,6,18},{15,37,2},{16,34,4},{15,35,4},{25,6,18},{29,19,18},{15,35,4},{0,34,20},{29,19,18},{0,34,20},{15,0,50},{15,0,50},{15,0,50},{15,0,50},{15,35,1},{15,35,1},{15,35,1},{15,33,2},{14,34,2},{14,34,2},{16,41,56},{16,39,37},{16,37,56},
{16,37,41},{16,40,51},{16,38,22},{16,37,5},{16,36,24},{15,38,56},{15,36,22},{17,38,22},{17,37,9},{17,36,8},{17,36,9},{27,3,51},{16,38,22},{16,37,5},{15,36,21},{31,19,51},{15,36,21},{16,39,37},{16,39,37},{16,39,37},{16,37,37},{16,38,8},{16,37,1},{16,37,1},{16,35,0},{15,37,11},{16,35,9},{17,36,4},{17,36,4},{17,36,4},{17,35,5},{27,1,8},
{16,37,1},{16,37,1},{16,35,0},{30,19,8},{16,35,0},{28,1,18},{16,39,1},{17,36,4},{17,36,5},{28,1,18},{30,21,18},{17,36,5},{0,36,20},{30,21,18},{0,36,20},{16,0,36},{16,0,36},{16,0,36},{16,0,36},{16,37,0},{16,37,0},{16,37,0},{16,35,0},{15,36,2},{15,36,2},{17,43,56},{17,41,37},{17,39,56},{17,39,41},{17,42,51},{17,40,22},{17,39,5},
{17,38,24},{15,42,56},{16,38,21},{18,40,22},{18,39,9},{18,38,8},{18,38,9},{28,5,51},{17,40,22},{17,39,5},{16,38,21},{31,22,51},{16,38,21},{17,41,37},{17,41,37},{17,41,37},{17,39,37},{17,40,8},{17,39,1},{17,39,1},{17,37,0},{16,39,9},{17,37,9},{18,38,4},{18,38,4},{18,38,4},{18,37,5},{28,3,8},{17,39,1},{17,39,1},{17,37,0},{31,21,8},
{17,37,0},{29,3,18},{17,41,1},{18,38,4},{18,38,5},{29,3,18},{31,23,18},{18,38,5},{0,38,20},{31,23,18},{0,38,20},{17,0,36},{17,0,36},{17,0,36},{17,0,36},{17,39,0},{17,39,0},{17,39,0},{17,37,0},{16,38,1},{16,38,1},{18,45,56},{18,43,37},{18,41,56},{18,41,41},{18,44,51},{18,42,22},{18,41,5},{18,40,24},{16,43,53},{17,40,21},{19,42,22},
{19,41,9},{19,40,8},{19,40,9},{31,0,51},{18,42,22},{18,41,5},{17,40,21},{28,29,51},{17,40,21},{18,43,37},{18,43,37},{18,43,37},{18,41,37},{18,42,8},{18,41,1},{18,41,1},{18,39,0},{17,41,9},{18,39,9},{19,40,4},{19,40,4},{19,40,4},{19,39,5},{29,5,8},{18,41,1},{18,41,1},{18,39,0},{31,24,8},{18,39,0},{30,5,18},{18,43,1},{19,40,4},
{19,40,5},{30,5,18},{31,26,18},{19,40,5},{0,40,20},{31,26,18},{0,40,20},{18,0,36},{18,0,36},{18,0,36},{18,0,36},{18,41,0},{18,41,0},{18,41,0},{18,39,0},{17,40,1},{17,40,1},{19,48,68},{19,46,51},{20,43,70},{19,43,51},{19,47,52},{19,44,22},{19,43,3},{19,42,20},{17,46,51},{18,42,23},{20,44,24},{20,44,8},{20,43,6},{20,42,14},{31,6,51},
{19,44,21},{19,43,2},{19,42,19},{31,29,51},{19,42,19},{19,46,50},{19,46,50},{19,46,50},{19,43,50},{19,45,9},{19,43,2},{19,43,2},{19,41,3},{18,43,10},{19,41,6},{20,42,5},{20,42,5},{20,42,5},{20,42,5},{31,4,8},{19,43,1},{19,43,1},{19,41,2},{30,29,8},{19,41,2},{30,11,18},{19,46,1},{20,43,2},{19,43,1},{30,11,18},{30,31,18},{19,43,1},
{0,42,18},{30,31,18},{0,42,18},{19,0,50},{19,0,50},{19,0,50},{19,0,50},{19,43,2},{19,43,2},{19,43,2},{19,41,2},{18,43,1},{18,43,1},{20,49,56},{20,47,38},{20,45,53},{20,45,37},{20,48,51},{20,46,19},{20,45,1},{20,44,22},{18,48,56},{19,44,23},{21,46,24},{21,46,8},{21,45,6},{21,44,14},{30,15,51},{20,46,19},{20,45,1},{19,44,22},{31,32,51},
{19,44,22},{20,47,37},{20,47,37},{20,47,37},{20,45,36},{20,46,10},{20,45,0},{20,45,0},{20,43,2},{19,45,10},{20,43,11},{21,44,5},{21,44,5},{21,44,5},{21,44,5},{30,13,8},{20,45,0},{20,45,0},{20,43,2},{31,31,8},{20,43,2},{31,13,18},{20,47,2},{21,45,2},{20,45,1},{31,13,18},{30,34,18},{20,45,1},{0,44,18},{30,34,18},{0,44,18},{20,0,36},
{20,0,36},{20,0,36},{20,0,36},{20,45,0},{20,45,0},{20,45,0},{20,43,1},{19,45,1},{19,45,1},{21,51,56},{21,49,37},{21,47,53},{21,47,37},{21,50,51},{21,48,22},{21,47,1},{21,46,22},{19,50,56},{20,46,20},{22,48,22},{22,48,13},{22,47,6},{22,46,14},{30,20,51},{21,48,22},{21,47,1},{20,46,19},{31,35,51},{20,46,19},{21,49,37},{21,49,37},{21,49,37},
{21,47,36},{21,48,8},{21,47,0},{21,47,0},{21,45,2},{20,47,11},{21,45,11},{22,46,5},{22,46,5},{22,46,5},{22,46,5},{31,15,8},{21,47,0},{21,47,0},{21,45,2},{31,34,8},{21,45,2},{31,18,18},{21,49,1},{22,47,2},{21,47,1},{31,18,18},{31,36,18},{21,47,1},{0,46,18},{31,36,18},{0,46,18},{21,0,36},{21,0,36},{21,0,36},{21,0,36},{21,47,0},
{21,47,0},{21,47,0},{21,45,1},{20,46,2},{20,46,2},{22,53,56},{22,51,37},{22,49,56},{22,49,41},{22,52,51},{22,50,22},{22,49,5},{22,48,24},{20,51,53},{21,48,21},{23,50,22},{23,49,9},{23,48,8},{23,48,9},{31,22,51},{22,50,22},{22,49,5},{21,48,21},{28,42,51},{21,48,21},{22,51,37},{22,51,37},{22,51,37},{22,49,37},{22,50,8},{22,49,1},{22,49,1},
{22,47,2},{21,49,9},{22,47,11},{23,48,4},{23,48,4},{23,48,4},{23,48,5},{31,20,8},{22,49,1},{22,49,1},{22,47,2},{31,37,8},{22,47,2},{31,23,18},{22,51,1},{23,48,4},{23,48,5},{31,23,18},{31,39,18},{23,48,5},{0,48,20},{31,39,18},{0,48,20},{22,0,36},{22,0,36},{22,0,36},{22,0,36},{22,49,0},{22,49,0},{22,49,0},{22,47,1},{21,48,1},
{21,48,1},{23,56,68},{23,54,51},{24,51,70},{23,51,51},{23,55,52},{23,52,22},{23,51,3},{23,50,20},{21,54,51},{22,50,23},{24,52,24},{24,52,8},{24,51,6},{24,50,14},{31,28,51},{23,52,21},{23,51,2},{23,50,19},{31,42,51},{23,50,19},{23,54,50},{23,54,50},{23,54,50},{23,51,50},{23,53,9},{23,51,2},{23,51,2},{23,49,3},{22,51,10},{23,49,6},{24,50,5},
{24,50,5},{24,50,5},{24,50,5},{31,26,8},{23,51,1},{23,51,1},{23,49,2},{30,42,8},{23,49,2},{31,29,18},{23,54,1},{24,51,2},{23,51,1},{31,29,18},{30,44,18},{23,51,1},{0,50,18},{30,44,18},{0,50,18},{23,0,50},{23,0,50},{23,0,50},{23,0,50},{23,51,2},{23,51,2},{23,51,2},{23,49,2},{22,51,1},{22,51,1},{24,58,54},{24,55,38},{24,53,53},
{24,53,37},{24,56,52},{24,54,19},{24,53,1},{24,52,22},{22,56,51},{23,52,23},{25,54,24},{25,54,8},{25,53,6},{25,52,14},{31,33,51},{24,54,19},{24,53,1},{23,52,22},{31,45,51},{23,52,22},{24,56,36},{24,56,36},{24,56,36},{24,53,36},{24,54,10},{24,53,0},{24,53,0},{24,51,2},{23,53,10},{24,51,11},{25,52,5},{25,52,5},{25,52,5},{25,52,5},{31,31,8},
{24,53,0},{24,53,0},{24,51,2},{31,44,8},{24,51,2},{31,34,18},{24,55,2},{25,53,2},{24,53,1},{31,34,18},{31,46,18},{24,53,1},{0,52,18},{31,46,18},{0,52,18},{24,0,36},{24,0,36},{24,0,36},{24,0,36},{24,53,0},{24,53,0},{24,53,0},{24,51,1},{23,53,1},{23,53,1},{25,60,54},{25,57,38},{25,55,53},{25,55,37},{25,58,52},{25,56,19},{25,55,1},
{25,54,22},{23,58,51},{24,54,20},{26,56,24},{26,56,8},{26,55,6},{26,54,14},{31,38,51},{25,56,19},{25,55,1},{24,54,19},{31,48,51},{24,54,19},{25,58,36},{25,58,36},{25,58,36},{25,55,36},{25,56,10},{25,55,0},{25,55,0},{25,53,2},{24,55,11},{25,53,11},{26,54,5},{26,54,5},{26,54,5},{26,54,5},{31,36,8},{25,55,0},{25,55,0},{25,53,2},{31,47,8},
{25,53,2},{30,43,18},{25,57,2},{26,55,2},{25,55,1},{30,43,18},{30,50,18},{25,55,1},{0,54,18},{30,50,18},{0,54,18},{25,0,36},{25,0,36},{25,0,36},{25,0,36},{25,55,0},{25,55,0},{25,55,0},{25,53,1},{24,54,2},{24,54,2},{26,62,54},{26,59,38},{26,57,53},{26,57,37},{26,60,52},{26,58,19},{26,57,1},{26,56,22},{25,58,56},{25,56,20},{27,58,24},
{27,58,8},{27,57,6},{27,56,14},{30,47,51},{26,58,19},{26,57,1},{25,56,19},{31,51,51},{25,56,19},{26,60,36},{26,60,36},{26,60,36},{26,57,36},{26,58,10},{26,57,0},{26,57,0},{26,55,2},{25,57,11},{26,55,11},{27,56,5},{27,56,5},{27,56,5},{27,56,5},{30,45,8},{26,57,0},{26,57,0},{26,55,2},{31,50,8},{26,55,2},{31,45,18},{26,59,2},{27,57,2},
{26,57,1},{31,45,18},{31,52,18},{26,57,1},{0,56,18},{31,52,18},{0,56,18},{26,0,36},{26,0,36},{26,0,36},{26,0,36},{26,57,0},{26,57,0},{26,57,0},{26,55,1},{25,56,2},{25,56,2},{27,63,76},{27,62,52},{28,59,69},{27,59,51},{27,63,52},{27,60,21},{27,59,3},{27,58,22},{25,62,52},{26,58,28},{28,60,24},{28,60,9},{28,59,5},{28,59,13},{31,49,51},
{27,60,20},{27,59,2},{27,58,21},{30,56,51},{27,58,21},{27,62,51},{27,62,51},{27,62,51},{27,59,51},{27,61,9},{27,59,3},{27,59,3},{27,58,6},{26,60,11},{27,57,12},{28,58,5},{28,58,5},{28,58,5},{28,58,4},{29,54,8},{27,59,2},{27,59,2},{27,58,5},{29,56,8},{27,58,5},{30,54,18},{27,62,2},{28,59,1},{27,59,1},{30,54,18},{29,58,18},{27,59,1},
{0,58,20},{29,58,18},{0,58,20},{27,0,50},{27,0,50},{27,0,50},{27,0,50},{27,60,1},{27,60,1},{27,60,1},{27,58,2},{26,59,0},{26,59,0},{28,63,86},{28,63,38},{28,61,52},{28,61,36},{28,63,59},{28,62,21},{28,61,0},{28,60,21},{27,62,60},{27,60,28},{29,62,24},{29,62,9},{29,61,5},{29,61,13},{30,58,51},{28,62,21},{28,61,0},{28,60,21},{31,58,51},
{28,60,21},{28,63,37},{28,63,37},{28,63,37},{28,61,36},{28,62,10},{28,61,0},{28,61,0},{28,59,5},{27,62,11},{27,60,12},{29,60,5},{29,60,5},{29,60,5},{29,60,4},{30,56,8},{28,61,0},{28,61,0},{28,59,5},{30,58,8},{28,59,5},{31,56,18},{28,63,2},{29,61,1},{28,61,0},{31,56,18},{30,60,18},{28,61,0},{0,60,20},{30,60,18},{0,60,20},{28,0,36},
{28,0,36},{28,0,36},{28,0,36},{28,61,0},{28,61,0},{28,61,0},{28,59,1},{27,61,0},{27,61,0},{30,63,94},{30,63,78},{29,63,52},{29,63,36},{30,63,115},{29,63,36},{29,63,0},{29,62,21},{29,63,88},{28,62,25},{30,63,30},{30,63,14},{30,63,5},{30,63,13},{31,60,51},{29,63,36},{29,63,0},{29,62,21},{31,61,51},{29,62,21},{29,63,52},{29,63,52},{29,63,52},
{29,63,36},{29,63,16},{29,63,0},{29,63,0},{29,61,5},{28,63,11},{28,62,9},{30,62,5},{30,62,5},{30,62,5},{30,62,4},{31,58,8},{29,63,0},{29,63,0},{29,61,5},{31,60,8},{29,61,5},{31,61,18},{30,63,10},{30,63,1},{29,63,0},{31,61,18},{31,62,18},{29,63,0},{0,62,20},{31,62,18},{0,62,20},{29,0,36},{29,0,36},{29,0,36},{29,0,36},{29,63,0},
{29,63,0},{29,63,0},{29,61,1},{28,63,2},{28,63,2},{31,63,68},{31,63,68},{30,63,61},{30,63,45},{30,63,59},{30,63,27},{30,63,18},{30,63,1},{30,63,28},{30,63,10},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{30,63,1},{31,63,4},{30,63,1},{30,63,61},{30,63,61},{30,63,61},{30,63,45},{30,63,34},{30,63,18},{30,63,18},
{30,63,1},{30,63,19},{30,63,10},{31,63,4},{31,63,4},{31,63,4},{31,63,4},{31,62,4},{31,63,4},{31,63,4},{30,63,1},{31,63,4},{30,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{30,0,36},{30,0,36},{30,0,36},{30,0,36},{30,63,9},{30,63,9},{30,63,9},{30,63,1},{30,63,10},
{30,63,10},{0,7,74},{0,6,20},{0,4,2},{0,4,26},{0,5,153},{0,4,110},{0,3,45},{0,2,115},{0,3,169},{0,2,124},{0,7,74},{0,6,20},{0,4,2},{0,4,26},{0,5,153},{0,4,110},{0,3,45},{0,2,115},{0,3,153},{0,2,115},{0,3,1},{0,3,1},{0,3,1},{0,2,0},{0,2,13},{0,2,9},{0,2,9},{0,1,5},{0,1,14},{0,1,6},{0,3,1},
{0,3,1},{0,3,1},{0,2,0},{0,2,13},{0,2,9},{0,2,9},{0,1,5},{1,0,13},{0,1,5},{2,1,72},{0,6,20},{0,4,2},{0,4,26},{2,1,72},{3,1,72},{0,4,26},{0,3,74},{3,1,72},{0,3,74},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,13,81},{0,10,13},{0,6,26},
{0,6,14},{0,9,244},{0,7,129},{0,6,41},{0,4,139},{0,5,300},{0,4,175},{0,13,81},{0,10,13},{0,6,26},{0,6,14},{2,3,243},{0,7,129},{0,6,41},{0,4,139},{4,1,243},{0,4,139},{0,9,9},{0,9,9},{0,9,9},{0,5,10},{0,5,52},{0,5,17},{0,5,17},{0,3,17},{0,3,68},{0,3,33},{0,9,9},{0,9,9},{0,9,9},{0,5,10},{1,2,50},
{0,5,17},{0,5,17},{0,3,17},{2,1,50},{0,3,17},{3,3,72},{0,10,4},{1,6,2},{0,6,5},{3,3,72},{4,3,72},{0,6,5},{0,5,74},{4,3,72},{0,5,74},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,2},{0,1,2},{1,15,145},{1,12,77},{1,8,90},{1,8,78},{0,15,243},{0,10,96},{0,8,3},
{0,6,106},{0,8,395},{0,6,187},{1,15,81},{1,12,13},{1,8,26},{1,8,14},{4,1,243},{0,10,96},{0,8,3},{0,6,106},{5,3,243},{0,6,106},{1,11,73},{1,11,73},{1,11,73},{1,7,74},{0,11,50},{0,8,2},{0,8,2},{0,5,2},{0,5,131},{0,5,51},{1,11,9},{1,11,9},{1,11,9},{1,7,10},{3,1,50},{0,8,2},{0,8,2},{0,5,2},{3,3,50},
{0,5,2},{5,1,72},{1,12,4},{2,8,2},{0,8,2},{5,1,72},{9,0,72},{0,8,2},{0,7,74},{9,0,72},{0,7,74},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,7,1},{0,7,1},{0,7,1},{0,4,1},{0,3,32},{0,3,32},{2,17,162},{2,14,94},{2,10,107},{2,10,95},{1,17,244},{1,12,97},{1,10,4},{1,8,107},{0,11,345},{0,8,116},{2,17,81},
{2,14,13},{2,10,26},{2,10,14},{6,0,243},{0,14,76},{1,10,3},{0,9,83},{10,0,243},{0,9,83},{2,13,90},{2,13,90},{2,13,90},{2,9,91},{1,13,51},{1,10,3},{1,10,3},{1,7,3},{0,9,94},{0,7,14},{2,13,9},{2,13,9},{2,13,9},{2,9,10},{3,6,50},{1,10,2},{1,10,2},{1,7,2},{8,0,50},{1,7,2},{7,0,72},{2,14,4},{3,10,2},
{1,10,2},{7,0,72},{10,2,72},{1,10,2},{0,9,74},{10,2,72},{0,9,74},{2,0,90},{2,0,90},{2,0,90},{2,0,90},{1,9,2},{1,9,2},{1,9,2},{1,6,2},{0,7,13},{0,7,13},{3,19,154},{3,16,82},{3,13,100},{3,12,85},{2,19,244},{2,15,90},{2,13,5},{2,11,97},{0,15,287},{0,11,73},{3,19,90},{3,16,18},{4,12,29},{3,12,21},{6,6,243},
{1,16,75},{2,13,5},{0,11,73},{12,1,243},{0,11,73},{3,15,81},{3,15,81},{3,15,81},{3,12,81},{2,15,52},{2,13,1},{2,13,1},{2,9,4},{0,13,61},{0,10,14},{3,15,17},{3,15,17},{3,15,17},{3,12,17},{6,2,50},{2,13,1},{2,13,1},{2,9,4},{11,0,50},{2,9,4},{8,2,72},{3,16,2},{4,12,4},{2,13,4},{8,2,72},{12,3,72},{2,13,4},
{0,11,72},{12,3,72},{0,11,72},{3,0,80},{3,0,80},{3,0,80},{3,0,80},{2,12,0},{2,12,0},{2,12,0},{2,9,0},{0,11,1},{0,11,1},{4,21,162},{4,18,94},{4,15,103},{4,14,95},{3,21,244},{3,17,88},{3,15,5},{3,13,97},{0,18,260},{1,13,73},{4,21,81},{4,18,13},{4,15,22},{4,14,14},{9,1,243},{2,18,75},{3,15,5},{1,13,73},{13,3,243},
{1,13,73},{4,17,90},{4,17,90},{4,17,90},{4,14,91},{3,17,52},{3,15,1},{3,15,1},{3,11,4},{0,16,52},{1,12,14},{4,17,9},{4,17,9},{4,17,9},{4,14,10},{8,0,50},{3,15,1},{3,15,1},{3,11,4},{11,3,50},{3,11,4},{10,1,72},{3,20,2},{5,14,4},{3,15,4},{10,1,72},{17,0,72},{3,15,4},{0,13,72},{17,0,72},{0,13,72},{4,0,90},
{4,0,90},{4,0,90},{4,0,90},{3,14,0},{3,14,0},{3,14,0},{3,11,0},{1,13,1},{1,13,1},{5,23,162},{5,20,94},{5,16,107},{5,16,95},{4,23,244},{4,18,97},{4,16,4},{4,15,98},{0,22,244},{2,15,73},{5,23,81},{5,20,13},{5,16,26},{5,16,14},{10,3,243},{3,20,75},{4,16,3},{2,15,73},{18,0,243},{2,15,73},{5,19,90},{5,19,90},{5,19,90},
{5,15,94},{4,19,51},{4,16,3},{4,16,3},{4,13,5},{1,18,52},{2,14,14},{5,19,9},{5,19,9},{5,19,9},{5,15,13},{9,2,50},{4,16,2},{4,16,2},{4,13,4},{16,0,50},{4,13,4},{11,3,72},{5,20,4},{6,16,2},{4,16,2},{11,3,72},{18,2,72},{4,16,2},{0,15,72},{18,2,72},{0,15,72},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{4,15,2},
{4,15,2},{4,15,2},{4,13,1},{2,15,1},{2,15,1},{6,25,162},{6,22,94},{6,18,107},{6,18,95},{5,25,244},{5,20,97},{5,18,4},{5,16,107},{1,24,244},{3,17,74},{6,25,81},{6,22,13},{6,18,26},{6,18,14},{12,1,243},{3,24,75},{5,18,3},{3,17,74},{19,2,243},{3,17,74},{6,21,90},{6,21,90},{6,21,90},{6,17,91},{5,21,51},{5,18,3},{5,18,3},
{5,15,5},{2,20,52},{3,16,19},{6,21,9},{6,21,9},{6,21,9},{6,17,10},{11,1,50},{5,18,2},{5,18,2},{5,15,4},{17,2,50},{5,15,4},{13,1,72},{6,22,4},{7,18,2},{5,18,2},{13,1,72},{19,4,72},{5,18,2},{0,17,74},{19,4,72},{0,17,74},{6,0,90},{6,0,90},{6,0,90},{6,0,90},{5,17,2},{5,17,2},{5,17,2},{5,15,1},{3,17,0},
{3,17,0},{7,27,154},{7,24,82},{7,21,100},{7,20,85},{6,27,244},{6,23,90},{6,21,5},{6,19,97},{2,26,244},{4,19,73},{7,27,90},{7,24,18},{8,20,29},{7,20,21},{13,4,243},{5,24,75},{6,21,5},{4,19,73},{22,2,243},{4,19,73},{7,23,81},{7,23,81},{7,23,81},{7,20,81},{6,23,52},{6,21,1},{6,21,1},{6,17,4},{3,23,52},{4,18,14},{7,23,17},
{7,23,17},{7,23,17},{7,20,17},{13,0,50},{6,21,1},{6,21,1},{6,17,4},{20,2,50},{6,17,4},{14,4,72},{7,24,2},{8,20,4},{6,21,4},{14,4,72},{25,0,72},{6,21,4},{0,19,72},{25,0,72},{0,19,72},{7,0,80},{7,0,80},{7,0,80},{7,0,80},{6,20,0},{6,20,0},{6,20,0},{6,17,0},{4,19,1},{4,19,1},{8,29,162},{8,26,92},{8,23,103},
{8,22,95},{7,29,244},{7,25,90},{7,23,5},{7,21,97},{3,28,244},{5,21,73},{8,29,81},{8,26,11},{8,23,22},{8,22,14},{14,6,243},{6,26,75},{7,23,5},{5,21,73},{26,0,243},{5,21,73},{8,25,90},{8,25,90},{8,25,90},{8,22,91},{7,25,52},{7,23,1},{7,23,1},{7,19,4},{4,24,52},{5,20,14},{8,25,9},{8,25,9},{8,25,9},{8,22,10},{14,2,50},
{7,23,1},{7,23,1},{7,19,4},{24,0,50},{7,19,4},{16,2,72},{8,26,2},{9,22,4},{7,23,4},{16,2,72},{27,1,72},{7,23,4},{0,21,72},{27,1,72},{0,21,72},{8,0,90},{8,0,90},{8,0,90},{8,0,90},{7,22,0},{7,22,0},{7,22,0},{7,19,0},{5,21,1},{5,21,1},{9,31,162},{9,28,92},{9,25,103},{9,24,95},{8,31,244},{8,26,100},{8,24,9},
{8,23,98},{4,30,244},{6,23,73},{9,31,81},{9,28,11},{9,25,22},{9,24,14},{16,4,243},{7,28,75},{8,24,8},{6,23,73},{27,2,243},{6,23,73},{9,27,90},{9,27,90},{9,27,90},{9,24,91},{8,27,51},{8,24,5},{8,24,5},{8,21,5},{5,26,52},{6,22,14},{9,27,9},{9,27,9},{9,27,9},{9,24,10},{16,0,50},{8,24,4},{8,24,4},{8,21,4},{26,1,50},
{8,21,4},{17,4,72},{9,28,2},{10,24,4},{8,25,4},{17,4,72},{27,4,72},{8,25,4},{0,23,72},{27,4,72},{0,23,72},{9,0,90},{9,0,90},{9,0,90},{9,0,90},{8,24,1},{8,24,1},{8,24,1},{8,21,1},{6,23,1},{6,23,1},{10,33,162},{10,30,92},{10,27,103},{10,26,95},{9,33,244},{9,28,100},{9,26,9},{9,25,98},{5,32,244},{7,25,73},{10,33,81},
{10,30,11},{10,27,22},{10,26,14},{17,6,243},{8,30,75},{9,26,8},{7,25,73},{28,4,243},{7,25,73},{10,29,90},{10,29,90},{10,29,90},{10,26,91},{9,29,51},{9,26,5},{9,26,5},{9,23,5},{6,28,52},{7,24,14},{10,29,9},{10,29,9},{10,29,9},{10,26,10},{17,2,50},{9,26,4},{9,26,4},{9,23,4},{27,3,50},{9,23,4},{18,6,72},{10,30,2},{11,26,4},
{9,27,4},{18,6,72},{28,6,72},{9,27,4},{0,25,72},{28,6,72},{0,25,72},{10,0,90},{10,0,90},{10,0,90},{10,0,90},{9,26,1},{9,26,1},{9,26,1},{9,23,1},{7,25,1},{7,25,1},{11,35,154},{11,32,82},{11,29,97},{11,29,85},{10,35,244},{10,31,96},{10,29,3},{10,27,90},{6,34,244},{8,27,78},{11,35,90},{11,32,18},{12,29,27},{11,29,21},{19,5,243},
{9,32,75},{10,29,3},{9,27,75},{31,4,243},{9,27,75},{11,31,81},{11,31,81},{11,31,81},{11,28,80},{10,31,52},{10,29,2},{10,29,2},{10,26,5},{7,31,50},{9,26,11},{11,31,17},{11,31,17},{11,31,17},{11,28,16},{19,1,50},{10,29,2},{10,29,2},{9,26,2},{29,4,50},{9,26,2},{20,5,72},{11,32,2},{12,29,2},{10,29,2},{20,5,72},{31,6,72},{10,29,2},
{0,27,74},{31,6,72},{0,27,74},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{10,28,1},{10,28,1},{10,28,1},{10,25,1},{8,28,2},{8,28,2},{12,37,162},{12,34,92},{12,31,107},{12,30,99},{11,37,244},{11,33,90},{11,31,3},{11,29,90},{7,36,244},{9,29,78},{12,37,81},{12,34,11},{12,31,26},{12,30,18},{22,0,243},{10,34,75},{11,31,3},{10,29,75},{31,7,243},
{10,29,75},{12,33,90},{12,33,90},{12,33,90},{12,30,90},{11,33,52},{11,31,2},{11,31,2},{11,28,5},{8,32,52},{10,28,11},{12,33,9},{12,33,9},{12,33,9},{12,30,9},{20,3,50},{11,31,2},{11,31,2},{10,28,2},{30,6,50},{10,28,2},{23,0,72},{12,34,2},{13,31,2},{11,31,2},{23,0,72},{31,9,72},{11,31,2},{0,29,74},{31,9,72},{0,29,74},{12,0,90},
{12,0,90},{12,0,90},{12,0,90},{11,30,1},{11,30,1},{11,30,1},{11,27,1},{9,30,2},{9,30,2},{13,39,162},{13,36,92},{13,33,103},{13,32,95},{12,39,244},{12,34,100},{12,32,9},{12,31,100},{8,38,244},{10,31,78},{13,39,81},{13,36,11},{13,33,22},{13,32,14},{23,2,243},{11,36,75},{12,32,8},{11,31,75},{28,14,243},{11,31,75},{13,35,90},{13,35,90},{13,35,90},
{13,32,91},{12,35,51},{12,32,5},{12,32,5},{12,30,6},{9,34,52},{11,30,11},{13,35,9},{13,35,9},{13,35,9},{13,32,10},{21,5,50},{12,32,4},{12,32,4},{11,30,2},{31,8,50},{11,30,2},{24,2,72},{13,36,2},{14,32,4},{12,33,4},{24,2,72},{27,17,72},{12,33,4},{0,31,74},{27,17,72},{0,31,74},{13,0,90},{13,0,90},{13,0,90},{13,0,90},{12,32,1},
{12,32,1},{12,32,1},{12,29,1},{10,31,4},{10,31,4},{14,41,162},{14,38,92},{14,35,103},{14,34,95},{13,41,244},{13,36,100},{13,34,9},{13,33,98},{9,40,244},{11,33,73},{14,41,81},{14,38,11},{14,35,22},{14,34,14},{24,4,243},{12,38,75},{13,34,8},{11,33,73},{28,17,243},{11,33,73},{14,37,90},{14,37,90},{14,37,90},{14,34,91},{13,37,51},{13,34,5},{13,34,5},
{13,31,10},{10,36,52},{11,32,14},{14,37,9},{14,37,9},{14,37,9},{14,34,10},{24,0,50},{13,34,4},{13,34,4},{12,32,4},{31,11,50},{12,32,4},{25,4,72},{14,38,2},{15,34,4},{13,35,4},{25,4,72},{28,19,72},{13,35,4},{0,33,72},{28,19,72},{0,33,72},{14,0,90},{14,0,90},{14,0,90},{14,0,90},{13,34,1},{13,34,1},{13,34,1},{13,31,1},{11,33,1},
{11,33,1},{15,44,152},{15,40,84},{15,37,97},{15,37,85},{14,44,243},{14,39,96},{14,37,3},{14,35,90},{10,42,244},{12,35,78},{15,44,88},{15,40,20},{16,37,27},{15,37,21},{27,0,243},{13,41,76},{14,37,3},{13,35,75},{31,17,243},{13,35,75},{15,40,80},{15,40,80},{15,40,80},{15,36,80},{14,40,50},{14,37,2},{14,37,2},{14,34,5},{11,39,50},{13,34,11},{15,40,16},
{15,40,16},{15,40,16},{15,36,16},{24,6,50},{14,37,2},{14,37,2},{13,34,2},{29,17,50},{13,34,2},{27,3,72},{15,40,4},{16,37,2},{14,37,2},{27,3,72},{31,19,72},{14,37,2},{0,35,74},{31,19,72},{0,35,74},{15,0,80},{15,0,80},{15,0,80},{15,0,80},{14,36,1},{14,36,1},{14,36,1},{14,33,1},{12,36,2},{12,36,2},{16,45,164},{16,42,95},{16,39,107},
{16,38,99},{15,46,243},{15,41,96},{15,39,3},{15,37,90},{11,44,244},{13,37,78},{16,45,83},{16,42,14},{16,39,26},{16,38,18},{27,5,243},{14,43,76},{15,39,3},{14,37,75},{31,20,243},{14,37,75},{16,41,91},{16,41,91},{16,41,91},{16,38,90},{15,42,50},{15,39,2},{15,39,2},{15,36,5},{12,41,51},{14,36,11},{16,41,10},{16,41,10},{16,41,10},{16,38,9},{27,1,50},
{15,39,2},{15,39,2},{14,36,2},{30,19,50},{14,36,2},{28,5,72},{15,44,4},{17,39,2},{15,39,2},{28,5,72},{31,22,72},{15,39,2},{0,37,74},{31,22,72},{0,37,74},{16,0,90},{16,0,90},{16,0,90},{16,0,90},{15,38,1},{15,38,1},{15,38,1},{15,35,1},{13,38,2},{13,38,2},{17,47,164},{17,44,95},{17,41,107},{17,40,99},{16,47,245},{16,43,91},{16,41,3},
{16,39,100},{12,46,244},{14,39,78},{17,47,83},{17,44,14},{17,41,26},{17,40,18},{30,0,243},{15,45,76},{16,41,2},{15,39,75},{28,27,243},{15,39,75},{17,43,91},{17,43,91},{17,43,91},{17,40,90},{16,43,53},{16,41,2},{16,41,2},{16,38,6},{13,43,51},{15,38,11},{17,43,10},{17,43,10},{17,43,10},{17,40,9},{28,3,50},{16,41,1},{16,41,1},{15,38,2},{31,21,50},
{15,38,2},{31,0,72},{16,46,1},{18,41,2},{16,41,1},{31,0,72},{28,29,72},{16,41,1},{0,39,74},{28,29,72},{0,39,74},{17,0,90},{17,0,90},{17,0,90},{17,0,90},{16,40,1},{16,40,1},{16,40,1},{16,37,1},{14,40,2},{14,40,2},{18,49,162},{18,46,95},{18,43,107},{18,42,99},{17,49,244},{17,45,91},{17,43,3},{17,41,100},{13,48,244},{15,41,78},{18,49,81},
{18,46,14},{18,43,26},{18,42,18},{31,2,243},{15,48,75},{17,43,2},{15,41,78},{29,29,243},{15,41,78},{18,45,91},{18,45,91},{18,45,91},{18,42,90},{17,45,53},{17,43,2},{17,43,2},{17,40,6},{14,45,51},{16,40,18},{18,45,10},{18,45,10},{18,45,10},{18,42,9},{29,5,50},{17,43,1},{17,43,1},{16,40,2},{31,24,50},{16,40,2},{30,9,72},{17,48,2},{19,43,2},
{17,43,1},{30,9,72},{29,31,72},{17,43,1},{0,41,74},{29,31,72},{0,41,74},{18,0,90},{18,0,90},{18,0,90},{18,0,90},{17,42,1},{17,42,1},{17,42,1},{17,39,1},{15,42,2},{15,42,2},{19,52,152},{19,48,84},{19,45,105},{19,45,84},{18,52,243},{18,47,89},{18,45,1},{18,43,96},{14,50,244},{16,44,81},{19,52,88},{19,48,20},{20,45,26},{19,45,20},{31,8,243},
{17,49,76},{18,45,1},{16,44,80},{31,30,243},{16,44,80},{19,48,80},{19,48,80},{19,48,80},{19,44,81},{18,48,50},{18,45,1},{18,45,1},{18,42,1},{15,47,52},{17,42,13},{19,48,16},{19,48,16},{19,48,16},{19,44,17},{31,4,50},{18,45,1},{18,45,1},{18,42,1},{30,29,50},{18,42,1},{30,15,72},{19,48,4},{20,45,1},{18,45,1},{30,15,72},{31,32,72},{18,45,1},
{0,43,80},{31,32,72},{0,43,80},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{18,45,0},{18,45,0},{18,45,0},{18,41,1},{16,44,1},{16,44,1},{20,53,164},{20,50,95},{20,47,106},{20,47,94},{19,54,243},{19,49,96},{19,47,1},{19,45,96},{15,52,244},{17,46,81},{20,53,83},{20,50,14},{20,47,25},{20,47,13},{29,20,243},{18,51,76},{19,47,1},{17,46,80},{31,33,243},
{17,46,80},{20,49,91},{20,49,91},{20,49,91},{20,46,90},{19,50,50},{19,47,1},{19,47,1},{19,44,1},{16,49,51},{18,44,13},{20,49,10},{20,49,10},{20,49,10},{20,46,9},{30,13,50},{19,47,1},{19,47,1},{19,44,1},{31,31,50},{19,44,1},{30,20,72},{19,52,4},{21,47,1},{19,47,1},{30,20,72},{31,35,72},{19,47,1},{0,45,80},{31,35,72},{0,45,80},{20,0,90},
{20,0,90},{20,0,90},{20,0,90},{19,47,0},{19,47,0},{19,47,0},{19,43,1},{17,46,1},{17,46,1},{21,55,164},{21,52,95},{21,49,107},{21,48,99},{20,55,245},{20,51,91},{20,49,3},{20,47,97},{16,54,244},{18,47,85},{21,55,83},{21,52,14},{21,49,26},{21,48,18},{30,22,243},{19,53,76},{20,49,2},{19,47,81},{28,40,243},{19,47,81},{21,51,91},{21,51,91},{21,51,91},
{21,48,90},{20,51,53},{20,49,2},{20,49,2},{20,46,5},{17,51,51},{19,46,13},{21,51,10},{21,51,10},{21,51,10},{21,48,9},{31,15,50},{20,49,1},{20,49,1},{19,46,4},{31,34,50},{19,46,4},{31,22,72},{20,54,1},{22,49,2},{20,49,1},{31,22,72},{28,42,72},{20,49,1},{0,47,80},{28,42,72},{0,47,80},{21,0,90},{21,0,90},{21,0,90},{21,0,90},{20,48,1},
{20,48,1},{20,48,1},{20,45,2},{18,48,2},{18,48,2},{22,57,164},{22,54,95},{22,51,107},{22,50,99},{21,57,245},{21,53,91},{21,51,3},{21,49,100},{17,56,244},{19,49,78},{22,57,83},{22,54,14},{22,51,26},{22,50,18},{31,24,243},{19,56,76},{21,51,2},{19,49,78},{29,42,243},{19,49,78},{22,53,91},{22,53,91},{22,53,91},{22,50,90},{21,53,53},{21,51,2},{21,51,2},
{21,48,6},{18,53,51},{20,48,18},{22,53,10},{22,53,10},{22,53,10},{22,50,9},{31,20,50},{21,51,1},{21,51,1},{20,48,2},{31,37,50},{20,48,2},{31,27,72},{21,56,1},{23,51,2},{21,51,1},{31,27,72},{29,44,72},{21,51,1},{0,49,74},{29,44,72},{0,49,74},{22,0,90},{22,0,90},{22,0,90},{22,0,90},{21,50,1},{21,50,1},{21,50,1},{21,47,2},{19,50,2},
{19,50,2},{23,60,152},{23,57,81},{23,53,105},{23,53,84},{22,60,243},{22,55,89},{22,53,1},{22,51,96},{18,59,244},{20,52,81},{23,60,88},{23,57,17},{24,53,26},{23,53,20},{31,30,243},{21,57,73},{22,53,1},{20,52,80},{31,43,243},{20,52,80},{23,56,80},{23,56,80},{23,56,80},{23,52,81},{22,56,50},{22,53,1},{22,53,1},{22,50,1},{19,55,52},{21,50,13},{23,56,16},
{23,56,16},{23,56,16},{23,52,17},{31,26,50},{22,53,1},{22,53,1},{22,50,1},{30,42,50},{22,50,1},{31,33,72},{23,57,1},{24,53,1},{22,53,1},{31,33,72},{31,45,72},{22,53,1},{0,51,80},{31,45,72},{0,51,80},{23,0,80},{23,0,80},{23,0,80},{23,0,80},{22,53,0},{22,53,0},{22,53,0},{22,49,1},{20,52,1},{20,52,1},{24,62,162},{24,58,94},{24,55,106},
{24,55,94},{23,62,243},{23,57,89},{23,55,1},{23,53,96},{19,61,244},{21,54,81},{24,62,81},{24,58,13},{24,55,25},{24,55,13},{31,35,243},{22,59,73},{23,55,1},{21,54,80},{27,51,243},{21,54,80},{24,58,90},{24,58,90},{24,58,90},{24,54,90},{23,58,50},{23,55,1},{23,55,1},{23,52,1},{20,57,50},{22,52,13},{24,58,9},{24,58,9},{24,58,9},{24,54,9},{31,31,50},
{23,55,1},{23,55,1},{23,52,1},{31,44,50},{23,52,1},{31,38,72},{24,58,4},{25,55,1},{23,55,1},{31,38,72},{31,48,72},{23,55,1},{0,53,80},{31,48,72},{0,53,80},{24,0,90},{24,0,90},{24,0,90},{24,0,90},{23,55,0},{23,55,0},{23,55,0},{23,51,1},{21,54,1},{21,54,1},{25,63,164},{25,60,94},{25,57,106},{25,57,94},{24,63,245},{24,59,97},{24,57,3},
{24,55,97},{20,63,249},{22,56,81},{25,63,83},{25,60,13},{25,57,25},{25,57,13},{31,40,243},{23,61,73},{24,57,2},{22,56,80},{31,49,243},{22,56,80},{25,60,90},{25,60,90},{25,60,90},{25,56,90},{24,60,51},{24,57,3},{24,57,3},{24,54,5},{21,59,50},{23,54,13},{25,60,9},{25,60,9},{25,60,9},{25,56,9},{31,36,50},{24,57,2},{24,57,2},{23,54,4},{31,47,50},
{23,54,4},{30,47,72},{25,60,4},{26,57,1},{24,57,1},{30,47,72},{31,51,72},{24,57,1},{0,55,80},{31,51,72},{0,55,80},{25,0,90},{25,0,90},{25,0,90},{25,0,90},{24,56,2},{24,56,2},{24,56,2},{24,53,2},{22,56,1},{22,56,1},{26,63,194},{26,62,94},{26,59,106},{26,59,94},{25,63,284},{25,61,97},{25,59,3},{25,57,97},{22,63,253},{23,58,81},{27,62,99},
{26,62,13},{26,59,25},{26,59,13},{29,52,243},{24,63,76},{25,59,2},{23,58,80},{28,56,243},{23,58,80},{26,62,90},{26,62,90},{26,62,90},{26,58,90},{25,62,51},{25,59,3},{25,59,3},{25,56,5},{22,61,50},{24,56,10},{26,62,9},{26,62,9},{26,62,9},{26,58,9},{30,45,50},{25,59,2},{25,59,2},{24,56,1},{31,50,50},{24,56,1},{30,52,72},{26,62,4},{27,59,1},
{25,59,1},{30,52,72},{28,58,72},{25,59,1},{0,57,80},{28,58,72},{0,57,80},{26,0,90},{26,0,90},{26,0,90},{26,0,90},{25,58,2},{25,58,2},{25,58,2},{25,55,2},{23,58,1},{23,58,1},{27,63,280},{27,63,120},{27,62,105},{27,61,82},{27,63,328},{26,63,99},{26,61,5},{26,59,99},{24,63,308},{24,60,74},{28,63,105},{28,63,45},{28,61,27},{27,61,18},{31,51,243},
{26,63,99},{26,61,5},{24,60,74},{31,56,243},{24,60,74},{27,63,84},{27,63,84},{27,63,84},{27,60,81},{26,63,58},{26,62,2},{26,62,2},{26,58,2},{23,63,53},{25,58,9},{27,63,20},{27,63,20},{27,63,20},{27,60,17},{29,54,50},{26,62,2},{26,62,2},{26,58,2},{29,56,50},{26,58,2},{30,58,72},{28,63,20},{28,61,2},{27,61,2},{30,58,72},{31,58,72},{27,61,2},
{0,60,74},{31,58,72},{0,60,74},{27,0,80},{27,0,80},{27,0,80},{27,0,80},{26,61,0},{26,61,0},{26,61,0},{26,58,1},{24,60,0},{24,60,0},{28,63,331},{28,63,187},{28,63,106},{28,63,94},{28,63,358},{27,63,173},{27,63,4},{27,61,82},{26,63,355},{25,62,65},{29,63,126},{29,63,62},{28,63,25},{28,63,13},{31,56,221},{28,63,121},{27,63,4},{25,62,65},{30,60,221},
{25,62,65},{28,63,106},{28,63,106},{28,63,106},{28,62,91},{27,63,100},{27,63,4},{27,63,4},{27,60,2},{25,63,72},{26,60,9},{28,63,25},{28,63,25},{28,63,25},{28,62,10},{30,56,50},{27,63,4},{27,63,4},{27,60,2},{30,58,50},{27,60,2},{31,59,61},{29,63,37},{29,63,1},{27,63,4},{31,59,61},{31,61,61},{27,63,4},{0,62,65},{31,61,61},{0,62,65},{28,0,90},
{28,0,90},{28,0,90},{28,0,90},{27,63,0},{27,63,0},{27,63,0},{27,60,1},{25,62,0},{25,62,0},{29,63,239},{29,63,175},{29,63,139},{29,63,99},{29,63,239},{28,63,122},{28,63,41},{28,62,19},{28,63,233},{26,63,19},{30,63,54},{30,63,38},{30,63,29},{29,63,18},{31,60,93},{29,63,54},{29,63,18},{27,63,9},{31,61,93},{27,63,9},{29,63,139},{29,63,139},{29,63,139},
{29,63,99},{29,63,139},{28,63,41},{28,63,41},{28,62,3},{27,63,116},{27,62,9},{30,63,29},{30,63,29},{30,63,29},{29,63,18},{31,58,50},{29,63,18},{29,63,18},{28,62,2},{31,60,50},{28,62,2},{31,62,5},{31,63,9},{30,63,4},{30,63,0},{31,62,5},{31,62,9},{30,63,0},{0,63,9},{31,62,9},{0,63,9},{29,0,90},{29,0,90},{29,0,90},{29,0,90},{28,63,5},
{28,63,5},{28,63,5},{28,61,2},{27,62,8},{27,62,8},{30,63,140},{30,63,124},{30,63,115},{30,63,99},{30,63,131},{29,63,98},{29,63,62},{29,63,2},{29,63,122},{28,63,20},{31,63,25},{31,63,25},{31,63,25},{30,63,18},{31,62,17},{30,63,18},{30,63,9},{29,63,1},{31,62,22},{29,63,1},{30,63,115},{30,63,115},{30,63,115},{30,63,99},{30,63,106},{29,63,62},{29,63,62},
{29,63,2},{29,63,86},{28,63,20},{31,63,25},{31,63,25},{31,63,25},{30,63,18},{31,61,13},{30,63,9},{30,63,9},{29,63,1},{31,62,13},{29,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{30,0,90},{30,0,90},{30,0,90},{30,0,90},{29,63,26},{29,63,26},{29,63,26},{29,63,2},{28,63,20},
{28,63,20},{0,13,200},{0,10,52},{0,7,2},{0,6,61},{0,9,441},{0,7,308},{0,5,139},{0,4,318},{0,5,491},{0,4,354},{0,13,200},{0,10,52},{0,7,2},{0,6,61},{2,2,441},{0,7,308},{0,5,139},{0,4,318},{2,3,441},{0,4,318},{0,6,0},{0,6,0},{0,6,0},{0,4,1},{0,3,41},{0,3,20},{0,3,20},{0,2,26},{0,2,50},{0,1,30},{0,6,0},
{0,6,0},{0,6,0},{0,4,1},{1,0,41},{0,3,20},{0,3,20},{0,2,26},{1,1,41},{0,2,26},{3,3,200},{0,10,52},{0,7,2},{0,6,61},{3,3,200},{4,3,200},{0,6,61},{0,5,202},{4,3,200},{0,5,202},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,18,200},{0,14,20},{0,10,13},
{0,9,26},{0,12,686},{0,9,419},{0,8,178},{0,5,442},{0,7,789},{0,5,491},{0,18,200},{0,14,20},{0,10,13},{0,9,26},{3,2,686},{0,9,419},{0,8,178},{0,5,442},{6,0,686},{0,5,442},{0,11,1},{0,11,1},{0,11,1},{0,7,0},{0,6,145},{0,5,74},{0,5,74},{0,3,74},{0,3,165},{0,3,90},{0,11,1},{0,11,1},{0,11,1},{0,7,0},{1,2,145},
{0,5,74},{0,5,74},{0,3,74},{3,0,145},{0,3,74},{5,1,200},{0,14,20},{1,9,2},{0,9,26},{5,1,200},{9,0,200},{0,9,26},{0,7,202},{9,0,200},{0,7,202},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,23,251},{0,17,53},{1,12,78},{0,11,54},{0,17,724},{0,13,362},{0,11,86},
{0,8,387},{0,9,932},{0,7,498},{1,20,201},{1,16,21},{1,12,14},{1,11,27},{4,4,723},{0,13,362},{0,11,86},{0,8,387},{7,2,723},{0,8,387},{0,17,49},{0,17,49},{0,17,49},{0,10,49},{0,11,162},{0,9,45},{0,9,45},{0,5,50},{0,5,243},{0,5,99},{1,13,2},{1,13,2},{1,13,2},{1,9,1},{3,1,162},{0,9,45},{0,9,45},{0,5,50},{3,3,162},
{0,5,50},{7,0,200},{0,17,4},{2,11,2},{0,11,5},{7,0,200},{10,2,200},{0,11,5},{0,9,202},{10,2,200},{0,9,202},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,13},{0,2,13},{1,25,315},{1,19,117},{1,14,171},{1,13,118},{0,23,723},{0,16,299},{0,13,18},{0,10,318},{0,12,1087},{0,9,516},{2,22,201},
{2,17,21},{2,14,14},{2,13,27},{5,6,723},{0,16,299},{0,13,18},{0,10,318},{8,4,723},{0,10,318},{1,19,113},{1,19,113},{1,19,113},{1,12,113},{0,16,162},{0,13,17},{0,13,17},{0,8,26},{0,8,338},{0,7,129},{2,15,2},{2,15,2},{2,15,2},{2,11,1},{3,6,162},{0,13,17},{0,13,17},{0,8,26},{8,0,162},{0,8,26},{7,5,200},{1,19,4},{3,13,2},
{0,13,2},{7,5,200},{14,0,200},{0,13,2},{0,11,202},{14,0,200},{0,11,202},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,10,0},{0,10,0},{0,10,0},{0,6,0},{0,5,58},{0,5,58},{2,28,408},{2,22,210},{2,16,281},{2,15,213},{0,29,739},{0,20,260},{0,16,29},{0,13,280},{0,15,1143},{0,12,464},{3,25,200},{3,21,16},{3,16,18},{3,15,20},{7,5,723},
{0,20,244},{0,16,13},{0,13,264},{14,0,723},{0,13,264},{2,21,209},{2,21,209},{2,21,209},{2,14,209},{1,19,178},{0,17,18},{0,17,18},{0,10,21},{0,12,376},{0,9,121},{3,18,0},{3,18,0},{3,18,0},{3,13,1},{6,2,162},{0,17,2},{0,17,2},{0,10,5},{11,0,162},{0,10,5},{10,1,200},{2,22,2},{4,15,5},{2,15,5},{10,1,200},{17,0,200},{2,15,5},
{0,13,200},{17,0,200},{0,13,200},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{1,13,16},{1,13,16},{1,13,16},{1,8,17},{0,8,80},{0,8,80},{3,30,408},{3,24,210},{3,18,281},{3,17,213},{1,31,739},{1,22,260},{2,17,27},{1,15,280},{0,19,1000},{0,14,322},{4,26,201},{4,22,21},{4,18,14},{4,17,27},{10,0,723},{0,23,212},{2,17,11},{0,15,225},{15,2,723},
{0,15,225},{3,23,209},{3,23,209},{3,23,209},{3,16,209},{2,21,178},{1,19,18},{1,19,18},{1,12,21},{0,15,294},{0,12,44},{4,19,2},{4,19,2},{4,19,2},{4,15,2},{8,0,162},{1,19,2},{1,19,2},{0,13,4},{11,3,162},{0,13,4},{11,3,200},{3,24,2},{5,17,2},{2,17,2},{11,3,200},{18,2,200},{2,17,2},{0,15,200},{18,2,200},{0,15,200},{3,0,208},
{3,0,208},{3,0,208},{3,0,208},{2,15,16},{2,15,16},{2,15,16},{2,10,17},{0,12,40},{0,12,40},{4,31,420},{4,26,222},{4,20,276},{4,19,223},{3,29,740},{2,24,260},{3,19,27},{2,16,270},{0,23,920},{0,16,234},{5,28,201},{5,24,21},{5,20,14},{5,19,27},{11,2,723},{0,27,200},{3,19,11},{0,17,211},{16,4,723},{0,17,211},{4,25,218},{4,25,218},{4,25,218},
{4,18,218},{3,23,178},{2,21,18},{2,21,18},{2,14,21},{0,19,228},{0,15,17},{5,21,2},{5,21,2},{5,21,2},{5,17,1},{9,2,162},{2,21,2},{2,21,2},{1,15,4},{16,0,162},{1,15,4},{13,1,200},{3,28,2},{6,19,2},{3,19,2},{13,1,200},{19,4,200},{3,19,2},{0,17,202},{19,4,200},{0,17,202},{4,0,218},{4,0,218},{4,0,218},{4,0,218},{3,17,16},
{3,17,16},{3,17,16},{3,12,17},{0,15,13},{0,15,13},{5,33,420},{5,28,222},{5,22,276},{5,21,223},{3,34,740},{3,26,260},{3,22,29},{3,18,270},{0,25,844},{0,19,202},{6,30,201},{6,26,21},{6,22,14},{6,21,27},{12,4,723},{1,29,200},{3,22,13},{0,19,202},{22,0,723},{0,19,202},{5,27,218},{5,27,218},{5,27,218},{5,20,218},{3,28,178},{3,23,18},{3,23,18},
{3,16,18},{0,22,195},{1,17,17},{6,23,2},{6,23,2},{6,23,2},{6,19,1},{11,1,162},{3,23,2},{3,23,2},{3,16,2},{17,2,162},{3,16,2},{15,0,200},{5,28,4},{7,21,2},{4,21,2},{15,0,200},{24,1,200},{4,21,2},{0,19,202},{24,1,200},{0,19,202},{5,0,218},{5,0,218},{5,0,218},{5,0,218},{3,22,16},{3,22,16},{3,22,16},{3,16,17},{0,19,0},
{0,19,0},{6,36,408},{6,30,210},{6,24,276},{6,23,213},{4,37,739},{4,28,260},{4,24,24},{4,21,280},{0,29,780},{1,21,202},{7,33,200},{7,29,17},{7,24,13},{7,23,20},{15,0,723},{2,31,203},{4,24,8},{1,21,201},{24,1,723},{1,21,201},{6,29,209},{6,29,209},{6,29,209},{6,22,209},{5,27,178},{4,25,17},{4,25,17},{4,18,21},{0,26,168},{2,19,14},{7,26,0},
{7,26,0},{7,26,0},{7,21,1},{13,0,162},{4,25,1},{4,25,1},{3,19,4},{20,2,162},{3,19,4},{16,2,200},{6,30,2},{8,23,5},{6,23,5},{16,2,200},{27,1,200},{6,23,5},{0,21,200},{27,1,200},{0,21,200},{6,0,208},{6,0,208},{6,0,208},{6,0,208},{5,21,16},{5,21,16},{5,21,16},{5,16,17},{1,21,2},{1,21,2},{7,38,408},{7,32,210},{7,26,276},
{7,25,213},{5,39,739},{5,30,260},{5,26,24},{5,23,280},{0,33,749},{2,23,202},{8,34,201},{8,30,19},{8,26,14},{8,25,21},{16,1,723},{3,33,202},{5,26,8},{2,23,201},{25,3,723},{2,23,201},{7,31,209},{7,31,209},{7,31,209},{7,24,209},{6,29,178},{5,27,17},{5,27,17},{5,20,21},{0,30,164},{3,21,14},{8,28,1},{8,28,1},{8,28,1},{8,23,2},{14,2,162},
{5,27,1},{5,27,1},{4,21,4},{24,0,162},{4,21,4},{17,4,200},{7,32,2},{9,25,5},{7,25,5},{17,4,200},{27,4,200},{7,25,5},{0,23,200},{27,4,200},{0,23,200},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{6,23,16},{6,23,16},{6,23,16},{6,18,17},{2,23,2},{2,23,2},{8,39,420},{8,34,222},{8,28,286},{8,27,223},{6,41,739},{6,32,260},{6,28,24},
{6,25,280},{0,36,725},{3,25,202},{9,36,201},{9,32,21},{9,28,14},{9,27,21},{18,0,723},{4,35,200},{6,28,8},{3,25,201},{30,0,723},{3,25,201},{8,33,218},{8,33,218},{8,33,218},{8,26,219},{7,31,178},{6,29,17},{6,29,17},{6,22,21},{2,30,168},{4,23,17},{9,30,1},{9,30,1},{9,30,1},{9,25,2},{16,0,162},{6,29,1},{6,29,1},{5,23,4},{26,1,162},
{5,23,4},{18,6,200},{7,36,2},{10,27,5},{8,27,5},{18,6,200},{28,6,200},{8,27,5},{0,25,200},{28,6,200},{0,25,200},{8,0,218},{8,0,218},{8,0,218},{8,0,218},{7,25,16},{7,25,16},{7,25,16},{7,20,17},{3,25,2},{3,25,2},{9,41,420},{9,36,222},{9,30,286},{9,29,223},{7,43,739},{7,34,260},{7,30,24},{7,27,280},{1,38,725},{4,27,201},{10,38,201},
{10,34,21},{10,30,14},{10,29,21},{19,2,723},{5,37,200},{7,30,8},{4,27,201},{31,2,723},{4,27,201},{9,35,218},{9,35,218},{9,35,218},{9,28,219},{7,36,178},{7,31,17},{7,31,17},{7,24,21},{2,33,165},{5,25,17},{10,31,2},{10,31,2},{10,31,2},{10,27,2},{17,2,162},{7,31,1},{7,31,1},{6,25,4},{27,3,162},{6,25,4},{21,1,200},{9,36,4},{11,29,5},
{9,29,5},{21,1,200},{29,8,200},{9,29,5},{0,27,200},{29,8,200},{0,27,200},{9,0,218},{9,0,218},{9,0,218},{9,0,218},{7,30,16},{7,30,16},{7,30,16},{7,24,17},{4,27,1},{4,27,1},{10,44,408},{10,38,210},{10,32,276},{10,31,217},{8,45,739},{8,36,260},{8,32,24},{8,29,267},{2,41,727},{5,29,207},{11,41,200},{11,37,17},{11,32,13},{11,31,18},{21,1,723},
{6,39,203},{8,32,8},{6,29,203},{29,8,723},{6,29,203},{10,37,209},{10,37,209},{10,37,209},{10,31,208},{9,35,178},{8,33,17},{8,33,17},{8,27,21},{3,36,165},{6,27,18},{11,34,0},{11,34,0},{11,34,0},{11,30,1},{19,1,162},{8,33,1},{8,33,1},{7,27,2},{29,4,162},{7,27,2},{23,0,200},{10,38,2},{12,32,8},{9,32,5},{23,0,200},{31,9,200},{9,32,5},
{0,29,202},{31,9,200},{0,29,202},{10,0,208},{10,0,208},{10,0,208},{10,0,208},{9,29,16},{9,29,16},{9,29,16},{9,25,16},{5,30,2},{5,30,2},{11,46,408},{11,40,210},{11,34,276},{11,33,213},{9,47,739},{9,38,260},{9,34,24},{9,31,267},{3,43,727},{6,31,207},{12,42,203},{12,38,19},{12,34,14},{12,33,21},{22,3,723},{7,41,203},{9,34,8},{7,31,203},{30,10,723},
{7,31,203},{11,39,209},{11,39,209},{11,39,209},{11,32,209},{10,37,178},{9,35,17},{9,35,17},{9,29,21},{4,38,164},{7,29,18},{12,36,1},{12,36,1},{12,36,1},{12,31,2},{20,3,162},{9,35,1},{9,35,1},{8,29,2},{30,6,162},{8,29,2},{24,2,200},{11,40,2},{13,33,5},{11,33,5},{24,2,200},{27,17,200},{11,33,5},{0,31,202},{27,17,200},{0,31,202},{11,0,208},
{11,0,208},{11,0,208},{11,0,208},{10,31,16},{10,31,16},{10,31,16},{10,27,16},{6,32,2},{6,32,2},{12,47,420},{12,42,220},{12,36,286},{12,35,223},{10,49,739},{10,40,260},{10,36,24},{10,33,280},{3,46,727},{7,33,202},{13,44,203},{13,40,19},{13,36,14},{13,35,21},{24,1,723},{8,43,202},{10,36,8},{7,33,201},{31,12,723},{7,33,201},{12,41,218},{12,41,218},{12,41,218},
{12,34,219},{11,39,178},{10,37,17},{10,37,17},{10,31,21},{5,40,164},{8,31,21},{13,38,1},{13,38,1},{13,38,1},{13,33,2},{21,5,162},{10,37,1},{10,37,1},{9,31,2},{31,8,162},{9,31,2},{25,4,200},{12,42,2},{14,35,5},{12,35,5},{25,4,200},{28,19,200},{12,35,5},{0,33,200},{28,19,200},{0,33,200},{12,0,218},{12,0,218},{12,0,218},{12,0,218},{11,33,16},
{11,33,16},{11,33,16},{11,29,16},{7,33,2},{7,33,2},{13,49,420},{13,44,220},{13,38,286},{13,37,223},{11,51,739},{11,42,260},{11,38,24},{11,35,280},{4,48,729},{8,35,201},{14,46,203},{14,42,19},{14,38,14},{14,37,21},{26,0,723},{9,45,202},{11,38,8},{8,35,201},{31,15,723},{8,35,201},{13,43,218},{13,43,218},{13,43,218},{13,36,219},{11,44,178},{11,39,17},{11,39,17},
{11,32,21},{6,42,164},{9,33,17},{14,40,1},{14,40,1},{14,40,1},{14,35,2},{24,0,162},{11,39,1},{11,39,1},{10,33,4},{31,11,162},{10,33,4},{26,6,200},{13,44,2},{15,37,5},{13,37,5},{26,6,200},{29,21,200},{13,37,5},{0,35,200},{29,21,200},{0,35,200},{13,0,218},{13,0,218},{13,0,218},{13,0,218},{11,38,16},{11,38,16},{11,38,16},{11,32,17},{8,35,1},
{8,35,1},{14,52,408},{14,46,212},{14,41,282},{14,39,217},{12,53,739},{12,44,259},{12,40,27},{12,37,267},{6,49,727},{9,37,207},{15,49,200},{15,44,20},{15,40,17},{15,39,18},{26,6,723},{10,48,203},{12,40,11},{10,37,203},{29,21,723},{10,37,203},{14,46,208},{14,46,208},{14,46,208},{14,39,208},{13,43,178},{12,41,18},{12,41,18},{12,35,21},{7,44,163},{10,35,18},{15,42,1},
{15,42,1},{15,42,1},{15,38,1},{24,6,162},{12,41,2},{12,41,2},{11,35,2},{29,17,162},{11,35,2},{28,5,200},{13,48,2},{16,40,5},{13,40,1},{28,5,200},{31,22,200},{13,40,1},{0,37,202},{31,22,200},{0,37,202},{14,0,208},{14,0,208},{14,0,208},{14,0,208},{13,37,16},{13,37,16},{13,37,16},{13,33,16},{9,38,2},{9,38,2},{15,54,408},{15,48,210},{15,43,282},
{15,41,217},{13,55,739},{13,46,259},{13,42,27},{13,39,267},{7,51,727},{10,39,207},{16,50,203},{16,47,18},{16,42,11},{16,41,26},{29,1,723},{11,49,203},{13,42,11},{11,39,203},{30,23,723},{11,39,203},{15,47,209},{15,47,209},{15,47,209},{15,41,208},{14,45,178},{13,43,18},{13,43,18},{13,37,21},{8,46,164},{11,37,18},{16,44,1},{16,44,1},{16,44,1},{16,39,2},{27,1,162},
{13,43,2},{13,43,2},{12,37,2},{30,19,162},{12,37,2},{31,0,200},{15,48,2},{17,42,5},{14,42,1},{31,0,200},{28,29,200},{14,42,1},{0,39,202},{28,29,200},{0,39,202},{15,0,208},{15,0,208},{15,0,208},{15,0,208},{14,39,16},{14,39,16},{14,39,16},{14,35,16},{10,40,2},{10,40,2},{16,56,418},{16,50,220},{16,44,283},{16,43,228},{14,57,739},{14,48,260},{14,44,27},
{14,41,267},{7,54,727},{11,41,207},{17,52,203},{17,48,19},{17,44,11},{17,43,26},{30,3,723},{12,51,202},{14,44,11},{12,41,203},{31,25,723},{12,41,203},{16,49,218},{16,49,218},{16,49,218},{16,43,219},{15,47,178},{14,45,18},{14,45,18},{14,39,21},{9,48,164},{12,39,21},{17,46,1},{17,46,1},{17,46,1},{17,41,2},{28,3,162},{14,45,2},{14,45,2},{13,39,2},{31,21,162},
{13,39,2},{30,9,200},{16,50,2},{18,44,5},{15,44,1},{30,9,200},{29,31,200},{15,44,1},{0,41,202},{29,31,200},{0,41,202},{16,0,218},{16,0,218},{16,0,218},{16,0,218},{15,41,16},{15,41,16},{15,41,16},{15,37,16},{11,42,2},{11,42,2},{17,58,418},{17,52,220},{17,46,283},{17,45,228},{15,59,739},{15,50,260},{15,46,27},{15,43,267},{8,56,724},{12,43,206},{18,54,203},
{18,50,19},{18,46,11},{18,45,26},{31,5,723},{13,53,202},{15,46,11},{13,43,203},{31,28,723},{13,43,203},{17,51,218},{17,51,218},{17,51,218},{17,45,219},{15,52,178},{15,47,18},{15,47,18},{15,41,21},{10,50,164},{13,41,21},{18,48,1},{18,48,1},{18,48,1},{18,43,2},{29,5,162},{15,47,2},{15,47,2},{14,41,2},{31,24,162},{14,41,2},{31,11,200},{17,52,2},{19,46,5},
{16,46,1},{31,11,200},{29,34,200},{16,46,1},{0,43,202},{29,34,200},{0,43,202},{17,0,218},{17,0,218},{17,0,218},{17,0,218},{15,46,17},{15,46,17},{15,46,17},{15,40,16},{12,44,2},{12,44,2},{18,60,410},{18,54,212},{18,49,282},{18,48,218},{17,58,739},{16,52,259},{16,48,27},{16,45,273},{10,57,724},{13,46,208},{19,57,200},{19,52,20},{19,48,17},{19,47,25},{31,11,723},
{14,56,203},{16,48,11},{14,45,208},{29,34,723},{14,45,208},{18,54,208},{18,54,208},{18,54,208},{18,47,208},{17,51,178},{16,49,18},{16,49,18},{16,43,20},{11,52,163},{14,44,24},{19,50,1},{19,50,1},{19,50,1},{19,46,0},{31,4,162},{16,49,2},{16,49,2},{15,43,4},{30,29,162},{15,43,4},{30,20,200},{18,54,4},{20,48,5},{17,48,1},{30,20,200},{31,35,200},{17,48,1},
{0,45,208},{31,35,200},{0,45,208},{18,0,208},{18,0,208},{18,0,208},{18,0,208},{17,45,17},{17,45,17},{17,45,17},{17,41,16},{13,46,0},{13,46,0},{19,62,410},{19,56,212},{19,51,282},{19,49,217},{18,60,739},{17,54,259},{17,50,27},{17,47,273},{11,59,724},{14,47,218},{20,59,201},{20,55,18},{20,50,11},{20,49,26},{31,16,723},{15,58,203},{17,50,11},{15,47,208},{30,36,723},
{15,47,208},{19,56,208},{19,56,208},{19,56,208},{19,49,208},{18,53,178},{17,51,18},{17,51,18},{17,45,20},{12,54,164},{15,46,24},{20,52,1},{20,52,1},{20,52,1},{20,48,2},{30,13,162},{17,51,2},{17,51,2},{16,45,1},{31,31,162},{16,45,1},{31,22,200},{19,56,4},{21,50,5},{18,50,1},{31,22,200},{28,42,200},{18,50,1},{0,47,208},{28,42,200},{0,47,208},{19,0,208},
{19,0,208},{19,0,208},{19,0,208},{18,47,17},{18,47,17},{18,47,17},{18,43,16},{14,48,2},{14,48,2},{20,63,426},{20,58,223},{20,52,283},{20,51,228},{19,62,739},{18,56,259},{18,52,27},{18,49,267},{12,61,727},{15,49,207},{21,61,201},{21,57,18},{21,52,11},{21,51,26},{31,21,723},{16,60,203},{18,52,11},{16,49,203},{31,38,723},{16,49,203},{20,57,219},{20,57,219},{20,57,219},
{20,51,219},{19,55,178},{18,53,18},{18,53,18},{18,47,20},{13,56,164},{16,47,17},{21,54,1},{21,54,1},{21,54,1},{21,49,2},{31,15,162},{18,53,2},{18,53,2},{17,47,1},{31,34,162},{17,47,1},{31,27,200},{19,60,4},{22,52,5},{19,52,1},{31,27,200},{29,44,200},{19,52,1},{0,49,202},{29,44,200},{0,49,202},{20,0,218},{20,0,218},{20,0,218},{20,0,218},{19,49,16},
{19,49,16},{19,49,16},{19,45,16},{15,50,2},{15,50,2},{21,63,468},{21,60,223},{21,54,283},{21,53,228},{20,63,749},{19,58,259},{19,54,27},{19,51,267},{13,63,727},{16,51,206},{22,63,201},{22,59,18},{22,54,11},{22,53,26},{30,30,723},{17,62,203},{19,54,11},{17,51,203},{31,41,723},{17,51,203},{21,59,219},{21,59,219},{21,59,219},{21,53,219},{19,60,180},{19,55,18},{19,55,18},
{19,49,21},{14,58,164},{17,49,21},{22,56,1},{22,56,1},{22,56,1},{22,51,2},{31,20,162},{19,55,2},{19,55,2},{18,49,2},{31,37,162},{18,49,2},{31,32,200},{20,62,1},{23,54,5},{20,54,1},{31,32,200},{30,46,200},{20,54,1},{0,51,202},{30,46,200},{0,51,202},{21,0,218},{21,0,218},{21,0,218},{21,0,218},{19,54,17},{19,54,17},{19,54,17},{19,48,16},{16,52,2},
{16,52,2},{22,63,570},{22,63,209},{22,57,288},{22,56,212},{21,63,804},{20,61,254},{20,56,33},{20,53,273},{15,63,753},{17,54,208},{23,63,232},{23,61,13},{23,56,16},{23,55,25},{31,32,723},{19,62,212},{20,56,17},{18,53,208},{30,46,723},{18,53,208},{22,62,208},{22,62,208},{22,62,208},{22,55,208},{20,63,178},{20,57,17},{20,57,17},{20,51,20},{15,60,163},{18,52,24},{23,59,0},
{23,59,0},{23,59,0},{23,54,0},{31,26,162},{20,57,1},{20,57,1},{19,51,4},{30,42,162},{19,51,4},{31,38,200},{22,63,1},{24,56,1},{21,56,1},{31,38,200},{31,48,200},{21,56,1},{0,53,208},{31,48,200},{0,53,208},{22,0,208},{22,0,208},{22,0,208},{22,0,208},{20,57,16},{20,57,16},{20,57,16},{21,49,16},{17,54,0},{17,54,0},{23,63,696},{23,63,237},{23,59,288},
{23,58,212},{23,63,888},{21,63,254},{21,58,33},{21,55,273},{17,63,824},{18,56,208},{24,63,273},{24,62,21},{24,58,17},{24,57,26},{30,41,723},{20,63,233},{21,58,17},{19,55,208},{29,50,723},{19,55,208},{23,63,212},{23,63,212},{23,63,212},{23,57,208},{22,61,180},{21,59,17},{21,59,17},{21,53,20},{16,62,163},{19,54,24},{24,60,2},{24,60,2},{24,60,2},{24,56,2},{31,31,162},
{21,59,1},{21,59,1},{20,53,1},{31,44,162},{20,53,1},{30,47,200},{24,62,20},{25,58,1},{22,58,1},{30,47,200},{31,51,200},{22,58,1},{0,55,208},{31,51,200},{0,55,208},{23,0,208},{23,0,208},{23,0,208},{23,0,208},{21,59,16},{21,59,16},{21,59,16},{22,51,16},{18,56,0},{18,56,0},{25,63,804},{24,63,334},{24,61,283},{24,60,227},{24,63,957},{22,63,297},{22,60,33},
{22,57,273},{20,63,913},{19,58,208},{26,63,313},{25,63,51},{25,60,17},{25,59,26},{31,43,723},{22,63,281},{22,60,17},{19,58,208},{30,52,723},{19,58,208},{24,63,234},{24,63,234},{24,63,234},{24,59,218},{23,63,180},{22,61,17},{22,61,17},{22,55,20},{18,62,171},{20,55,17},{25,62,2},{25,62,2},{25,62,2},{25,58,2},{31,36,162},{22,61,1},{22,61,1},{21,55,1},{31,47,162},
{21,55,1},{30,52,200},{25,63,50},{26,60,1},{23,60,1},{30,52,200},{28,58,200},{23,60,1},{0,57,208},{28,58,200},{0,57,208},{24,0,218},{24,0,218},{24,0,218},{24,0,218},{22,61,16},{22,61,16},{22,61,16},{23,53,16},{19,58,0},{19,58,0},{26,63,930},{25,63,492},{25,63,283},{25,62,227},{25,63,1068},{24,63,389},{23,62,33},{23,59,273},{21,63,999},{20,60,209},{27,63,379},
{26,63,149},{26,62,17},{26,61,26},{31,48,723},{24,63,364},{24,62,16},{20,60,208},{31,54,723},{20,60,208},{25,63,267},{25,63,267},{25,63,267},{25,61,218},{24,63,205},{23,63,17},{23,63,17},{23,57,20},{20,63,189},{21,57,17},{26,63,5},{26,63,5},{26,63,5},{26,60,2},{30,45,162},{23,63,1},{23,63,1},{22,57,1},{31,50,162},{22,57,1},{31,54,200},{27,63,90},{27,62,1},
{24,62,0},{31,54,200},{29,60,200},{24,62,0},{0,59,208},{29,60,200},{0,59,208},{25,0,218},{25,0,218},{25,0,218},{25,0,218},{23,63,16},{23,63,16},{23,63,16},{23,56,17},{20,60,1},{20,60,1},{27,63,877},{26,63,585},{26,63,329},{26,63,209},{26,63,990},{25,63,397},{25,63,36},{24,61,165},{23,63,910},{22,61,122},{28,63,306},{28,63,162},{27,63,36},{27,63,4},{30,56,546},
{26,63,306},{25,63,20},{22,61,113},{30,58,546},{22,61,113},{26,63,329},{26,63,329},{26,63,329},{26,63,209},{25,63,276},{25,63,36},{25,63,36},{24,59,18},{22,63,230},{22,60,22},{27,63,36},{27,63,36},{27,63,36},{27,62,0},{29,54,162},{25,63,20},{25,63,20},{24,59,2},{29,56,162},{24,59,2},{31,58,113},{29,63,61},{28,63,0},{26,63,1},{31,58,113},{31,60,113},{26,63,1},
{0,61,113},{31,60,113},{0,61,113},{26,0,208},{26,0,208},{26,0,208},{26,0,208},{25,62,16},{25,62,16},{25,62,16},{25,57,17},{21,62,1},{21,62,1},{28,63,731},{27,63,573},{27,63,404},{27,63,244},{27,63,797},{26,63,354},{26,63,98},{25,62,57},{25,63,737},{23,62,38},{29,63,190},{29,63,126},{28,63,65},{28,63,5},{31,56,333},{28,63,185},{27,63,52},{24,62,26},{30,60,333},
{24,62,26},{27,63,404},{27,63,404},{27,63,404},{27,63,244},{27,63,356},{26,63,98},{26,63,98},{25,61,18},{24,63,315},{23,62,22},{28,63,65},{28,63,65},{28,63,65},{28,63,5},{30,56,162},{27,63,52},{27,63,52},{25,61,2},{30,58,162},{25,61,2},{31,61,25},{30,63,13},{30,63,4},{29,63,1},{31,61,25},{31,62,25},{29,63,1},{0,62,25},{31,62,25},{0,62,25},{27,0,208},
{27,0,208},{27,0,208},{27,0,208},{26,63,17},{26,63,17},{26,63,17},{26,59,17},{23,63,9},{23,63,9},{29,63,642},{28,63,524},{28,63,443},{28,63,299},{28,63,623},{28,63,335},{27,63,201},{26,63,17},{27,63,610},{24,63,26},{30,63,131},{30,63,115},{29,63,101},{29,63,37},{31,59,193},{29,63,121},{28,63,85},{26,63,1},{30,62,193},{26,63,1},{28,63,443},{28,63,443},{28,63,443},
{28,63,299},{28,63,398},{27,63,201},{27,63,201},{26,63,17},{26,63,378},{24,63,26},{29,63,101},{29,63,101},{29,63,101},{29,63,37},{31,57,145},{28,63,85},{28,63,85},{26,63,1},{31,60,145},{26,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{28,0,218},{28,0,218},{28,0,218},{28,0,218},{27,63,32},
{27,63,32},{27,63,32},{27,61,17},{24,63,26},{24,63,26},{29,63,418},{29,63,354},{29,63,318},{29,63,254},{29,63,370},{28,63,223},{28,63,142},{28,63,25},{28,63,358},{26,63,58},{30,63,51},{30,63,35},{30,63,26},{30,63,10},{31,61,54},{30,63,34},{30,63,25},{28,63,0},{31,62,54},{28,63,0},{29,63,318},{29,63,318},{29,63,318},{29,63,254},{29,63,270},{28,63,142},{28,63,142},
{28,63,25},{27,63,249},{26,63,58},{30,63,26},{30,63,26},{30,63,26},{30,63,10},{31,60,41},{30,63,25},{30,63,25},{28,63,0},{31,61,41},{28,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{29,0,218},{29,0,218},{29,0,218},{29,0,218},{28,63,61},{28,63,61},{28,63,61},{28,63,25},{26,63,58},
{26,63,58},{0,18,421},{0,15,106},{0,10,8},{0,9,117},{0,12,925},{0,9,650},{0,9,286},{0,6,670},{0,7,1030},{0,5,726},{0,18,421},{0,15,106},{0,10,8},{0,9,117},{3,2,925},{0,9,650},{0,9,286},{0,6,670},{6,0,925},{0,6,670},{0,9,0},{0,9,0},{0,9,0},{0,5,1},{0,4,85},{0,4,45},{0,4,45},{0,2,50},{0,2,98},{0,2,59},{0,9,0},
{0,9,0},{0,9,0},{0,5,1},{1,1,85},{0,4,45},{0,4,45},{0,2,50},{2,0,85},{0,2,50},{5,1,421},{0,15,106},{0,10,8},{0,9,117},{5,1,421},{9,0,421},{0,9,117},{0,7,421},{9,0,421},{0,7,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,24,421},{0,19,53},{0,13,8},
{0,11,72},{0,16,1261},{0,12,805},{0,11,328},{0,7,822},{0,9,1438},{0,7,922},{0,24,421},{0,19,53},{0,13,8},{0,11,72},{3,6,1261},{0,12,805},{0,11,328},{0,7,822},{8,0,1261},{0,7,822},{0,14,0},{0,14,0},{0,14,0},{0,8,1},{0,7,221},{0,7,116},{0,7,116},{0,4,125},{0,4,257},{0,3,146},{0,14,0},{0,14,0},{0,14,0},{0,8,1},{2,0,221},
{0,7,116},{0,7,116},{0,4,125},{3,1,221},{0,4,125},{7,0,421},{0,19,53},{1,12,8},{0,11,72},{7,0,421},{11,1,421},{0,11,72},{0,9,421},{11,1,421},{0,9,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,29,430},{0,22,34},{0,15,62},{0,14,49},{0,20,1514},{0,15,866},{0,13,301},
{0,9,894},{0,11,1797},{0,9,1063},{0,29,430},{0,22,34},{1,15,33},{0,14,49},{6,0,1514},{0,15,866},{0,13,301},{0,9,894},{10,0,1514},{0,9,894},{0,19,10},{0,19,10},{0,19,10},{0,12,10},{0,11,338},{0,9,149},{0,9,149},{0,5,162},{0,5,419},{0,5,211},{0,19,10},{0,19,10},{0,19,10},{0,12,10},{3,1,338},{0,9,149},{0,9,149},{0,5,162},{3,3,338},
{0,5,162},{8,2,421},{0,22,25},{2,14,8},{0,14,40},{8,2,421},{14,0,421},{0,14,40},{0,11,421},{14,0,421},{0,11,421},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,2},{0,1,2},{1,31,494},{1,24,98},{1,17,131},{1,16,110},{0,25,1517},{0,19,734},{0,15,157},{0,11,789},{0,14,1982},{0,11,1045},{1,31,430},
{1,24,34},{2,16,35},{1,16,46},{7,2,1514},{0,19,734},{0,15,157},{0,11,789},{11,2,1514},{0,11,789},{1,21,74},{1,21,74},{1,21,74},{1,14,74},{0,16,338},{0,13,89},{0,13,89},{0,8,106},{0,8,514},{0,7,217},{1,21,10},{1,21,10},{1,21,10},{1,14,10},{3,6,338},{0,13,89},{0,13,89},{0,8,106},{8,0,338},{0,8,106},{10,0,421},{0,26,5},{3,16,5},
{0,16,10},{10,0,421},{17,0,421},{0,16,10},{0,13,421},{17,0,421},{0,13,421},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,7,1},{0,7,1},{0,7,1},{0,4,1},{0,3,32},{0,3,32},{1,37,629},{1,28,213},{2,19,340},{1,18,216},{0,31,1517},{0,23,629},{0,18,54},{0,14,686},{0,17,2187},{0,13,1070},{3,30,437},{2,27,33},{3,19,29},{2,18,45},{9,1,1514},
{0,23,629},{0,18,54},{0,14,686},{13,3,1514},{0,14,686},{1,27,209},{1,27,209},{1,27,209},{1,17,208},{0,22,338},{0,17,34},{0,17,34},{0,11,53},{0,11,666},{0,9,273},{3,21,16},{3,21,16},{3,21,16},{3,15,16},{6,2,338},{0,17,34},{0,17,34},{0,11,53},{11,0,338},{0,11,53},{12,0,421},{0,30,1},{4,18,8},{0,18,5},{12,0,421},{20,0,421},{0,18,5},
{0,15,421},{20,0,421},{0,15,421},{1,0,208},{1,0,208},{1,0,208},{1,0,208},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,6,106},{0,6,106},{2,39,821},{2,30,405},{2,22,557},{2,20,408},{0,36,1517},{0,25,562},{0,21,14},{0,16,589},{0,19,2445},{0,15,1130},{3,35,437},{3,29,33},{4,21,33},{3,20,45},{10,3,1514},{0,25,562},{0,21,14},{0,16,589},{18,0,1514},
{0,16,589},{2,29,401},{2,29,401},{2,29,401},{2,19,400},{0,27,340},{0,21,10},{0,21,10},{0,13,20},{0,14,851},{0,11,357},{3,26,16},{3,26,16},{3,26,16},{3,18,16},{8,0,338},{0,21,10},{0,21,10},{0,13,20},{11,3,338},{0,13,20},{13,1,421},{1,32,2},{5,20,8},{1,20,5},{13,1,421},{21,2,421},{1,20,5},{0,17,421},{21,2,421},{0,17,421},{2,0,400},
{2,0,400},{2,0,400},{2,0,400},{0,19,0},{0,19,0},{0,19,0},{0,11,1},{0,9,205},{0,9,205},{3,41,854},{3,32,435},{3,24,590},{3,22,441},{1,38,1518},{0,29,543},{1,23,15},{0,18,575},{0,23,2318},{0,17,906},{4,37,430},{4,30,34},{5,23,33},{4,22,49},{12,1,1514},{0,29,494},{1,23,14},{0,18,526},{19,2,1514},{0,18,526},{3,31,434},{3,31,434},{3,31,434},
{3,21,433},{1,29,341},{1,23,11},{1,23,11},{1,15,21},{0,17,734},{0,15,230},{4,27,10},{4,27,10},{4,27,10},{4,20,10},{9,2,338},{0,25,2},{0,25,2},{0,15,5},{16,0,338},{0,15,5},{15,0,421},{3,32,2},{6,22,8},{2,22,5},{15,0,421},{25,0,421},{2,22,5},{0,19,421},{25,0,421},{0,19,421},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{1,21,1},
{1,21,1},{1,21,1},{1,13,2},{0,12,157},{0,12,157},{4,42,866},{4,34,450},{4,26,581},{4,24,458},{2,40,1518},{1,31,543},{2,25,15},{1,20,575},{0,27,2166},{0,20,706},{5,39,430},{5,32,34},{6,25,33},{5,24,49},{14,0,1514},{0,32,461},{2,25,14},{0,20,481},{20,4,1514},{0,20,481},{4,33,445},{4,33,445},{4,33,445},{4,23,445},{2,31,341},{2,25,11},{2,25,11},
{2,17,27},{0,21,626},{0,17,102},{5,29,10},{5,29,10},{5,29,10},{5,22,10},{11,1,338},{1,27,2},{1,27,2},{0,17,2},{17,2,338},{0,17,2},{16,1,421},{3,36,2},{7,24,8},{3,24,5},{16,1,421},{27,1,421},{3,24,5},{0,21,421},{27,1,421},{0,21,421},{4,0,445},{4,0,445},{4,0,445},{4,0,445},{2,23,1},{2,23,1},{2,23,1},{2,15,2},{0,16,97},
{0,16,97},{5,45,854},{5,36,438},{5,28,579},{5,26,446},{3,43,1514},{3,32,545},{3,27,9},{3,22,582},{0,31,2010},{0,22,546},{7,38,437},{6,35,33},{7,27,26},{6,26,50},{14,6,1514},{0,37,430},{3,27,9},{0,23,446},{26,0,1514},{0,23,446},{5,35,434},{5,35,434},{5,35,434},{5,25,434},{3,34,338},{3,27,8},{3,27,8},{3,19,20},{0,25,525},{0,19,45},{7,29,16},
{7,29,16},{7,29,16},{7,23,16},{13,0,338},{2,29,0},{2,29,0},{1,20,4},{20,2,338},{1,20,4},{18,1,421},{4,38,1},{8,26,10},{4,27,2},{18,1,421},{29,2,421},{4,27,2},{0,23,421},{29,2,421},{0,23,421},{5,0,433},{5,0,433},{5,0,433},{5,0,433},{3,25,1},{3,25,1},{3,25,1},{3,17,1},{0,19,41},{0,19,41},{6,47,854},{6,38,438},{6,30,579},
{6,28,446},{4,45,1515},{3,36,553},{4,29,15},{3,24,589},{0,34,1887},{0,25,450},{7,44,437},{7,37,33},{8,29,30},{7,28,50},{16,4,1514},{0,40,422},{4,29,14},{0,25,425},{27,2,1514},{0,25,425},{6,37,434},{6,37,434},{6,37,434},{6,27,434},{4,35,341},{4,29,14},{4,29,14},{4,21,21},{0,29,461},{0,22,41},{7,34,16},{7,34,16},{7,34,16},{7,26,16},{14,2,338},
{3,31,0},{3,31,0},{2,22,4},{24,0,338},{2,22,4},{19,3,421},{5,40,1},{8,29,5},{5,29,2},{19,3,421},{30,4,421},{5,29,2},{0,25,421},{30,4,421},{0,25,421},{6,0,433},{6,0,433},{6,0,433},{6,0,433},{4,27,1},{4,27,1},{4,27,1},{4,19,2},{0,23,13},{0,23,13},{7,49,854},{7,40,438},{7,32,590},{7,30,446},{5,47,1515},{4,37,543},{5,31,15},
{4,26,591},{0,36,1785},{0,27,422},{8,45,430},{8,38,34},{9,31,30},{8,30,43},{17,6,1514},{1,42,422},{5,31,14},{0,27,422},{28,4,1514},{0,27,422},{7,39,434},{7,39,434},{7,39,434},{7,29,434},{5,37,341},{5,31,14},{5,31,14},{5,23,21},{0,32,404},{1,24,41},{8,35,10},{8,35,10},{8,35,10},{8,28,9},{16,0,338},{4,33,2},{4,33,2},{3,24,4},{26,1,338},
{3,24,4},{21,1,421},{6,42,1},{9,31,5},{6,31,2},{21,1,421},{31,6,421},{6,31,2},{0,27,421},{31,6,421},{0,27,421},{7,0,433},{7,0,433},{7,0,433},{7,0,433},{5,29,1},{5,29,1},{5,29,1},{5,21,2},{0,27,1},{0,27,1},{8,50,866},{8,42,450},{8,34,581},{8,32,458},{6,48,1518},{5,39,543},{6,33,15},{5,28,591},{0,40,1685},{1,29,422},{9,47,430},
{9,40,34},{10,33,33},{9,32,49},{20,1,1514},{2,44,422},{6,33,14},{1,29,422},{29,6,1514},{1,29,422},{8,41,445},{8,41,445},{8,41,445},{8,31,446},{6,39,341},{6,33,11},{6,33,11},{6,25,21},{0,35,371},{2,26,41},{9,37,10},{9,37,10},{9,37,10},{9,30,9},{17,2,338},{5,35,2},{5,35,2},{5,25,5},{27,3,338},{5,25,5},{23,0,421},{7,44,1},{11,32,8},
{7,32,5},{23,0,421},{31,9,421},{7,32,5},{0,29,421},{31,9,421},{0,29,421},{8,0,445},{8,0,445},{8,0,445},{8,0,445},{6,31,1},{6,31,1},{6,31,1},{6,23,2},{1,29,1},{1,29,1},{9,53,854},{9,45,437},{9,36,579},{9,34,446},{7,51,1514},{7,41,546},{7,35,9},{6,31,589},{0,44,1607},{2,31,430},{11,46,437},{10,43,36},{11,35,26},{10,34,50},{22,0,1514},
{3,47,421},{7,35,9},{3,31,426},{31,7,1514},{3,31,426},{9,43,434},{9,43,434},{9,43,434},{9,33,434},{7,42,338},{7,35,8},{7,35,8},{7,27,18},{0,39,344},{3,29,42},{11,37,16},{11,37,16},{11,37,16},{10,32,16},{19,1,338},{6,37,0},{6,37,0},{5,28,1},{29,4,338},{5,28,1},{24,2,421},{8,46,1},{12,34,10},{8,35,2},{24,2,421},{30,14,421},{8,35,2},
{0,31,425},{30,14,421},{0,31,425},{9,0,433},{9,0,433},{9,0,433},{9,0,433},{7,33,1},{7,33,1},{7,33,1},{7,26,1},{2,32,2},{2,32,2},{10,55,854},{10,47,437},{10,38,579},{10,36,446},{8,53,1515},{7,43,561},{8,37,15},{7,32,589},{0,47,1577},{3,33,425},{11,52,437},{11,45,36},{12,37,30},{11,36,50},{23,2,1514},{4,48,422},{8,37,14},{3,33,425},{28,14,1514},
{3,33,425},{10,45,434},{10,45,434},{10,45,434},{10,35,434},{8,43,341},{8,37,14},{8,37,14},{8,29,19},{0,43,340},{4,30,38},{11,42,16},{11,42,16},{11,42,16},{11,34,16},{20,3,338},{7,39,0},{7,39,0},{6,30,1},{30,6,338},{6,30,1},{26,1,421},{9,48,1},{12,37,5},{9,37,2},{26,1,421},{30,17,421},{9,37,2},{0,33,421},{30,17,421},{0,33,421},{10,0,433},
{10,0,433},{10,0,433},{10,0,433},{8,35,1},{8,35,1},{8,35,1},{8,28,2},{3,34,2},{3,34,2},{11,57,854},{11,48,438},{11,40,579},{11,38,446},{9,55,1515},{8,46,555},{9,39,15},{8,34,591},{0,51,1530},{4,35,422},{12,53,430},{12,46,34},{13,39,30},{12,38,43},{24,4,1514},{5,50,422},{9,39,14},{4,35,422},{28,17,1514},{4,35,422},{11,47,434},{11,47,434},{11,47,434},
{11,37,434},{9,45,341},{9,39,14},{9,39,14},{9,31,19},{1,45,340},{5,32,41},{12,44,9},{12,44,9},{12,44,9},{12,36,9},{21,5,338},{8,41,1},{8,41,1},{7,32,4},{31,8,338},{7,32,4},{27,3,421},{10,50,1},{13,39,5},{10,39,2},{27,3,421},{31,19,421},{10,39,2},{0,35,421},{31,19,421},{0,35,421},{11,0,433},{11,0,433},{11,0,433},{11,0,433},{9,37,1},
{9,37,1},{9,37,1},{9,30,2},{4,35,1},{4,35,1},{12,58,866},{12,50,450},{12,41,590},{12,40,458},{10,57,1515},{9,48,555},{10,41,15},{9,36,591},{0,54,1518},{5,37,422},{13,55,430},{13,48,34},{14,41,30},{13,40,43},{25,6,1514},{6,52,422},{10,41,14},{5,37,422},{29,19,1514},{5,37,422},{12,49,445},{12,49,445},{12,49,445},{12,39,446},{10,47,341},{10,41,14},{10,41,14},
{10,33,21},{2,47,340},{6,34,41},{13,46,9},{13,46,9},{13,46,9},{13,38,9},{24,0,338},{9,43,1},{9,43,1},{9,33,5},{31,11,338},{9,33,5},{29,1,421},{11,52,1},{14,41,5},{11,41,2},{29,1,421},{31,22,421},{11,41,2},{0,37,421},{31,22,421},{0,37,421},{12,0,445},{12,0,445},{12,0,445},{12,0,445},{10,39,1},{10,39,1},{10,39,1},{10,31,5},{5,37,1},
{5,37,1},{13,61,854},{13,53,437},{13,44,593},{13,43,442},{11,59,1517},{11,49,546},{11,43,13},{10,39,589},{1,57,1518},{6,39,430},{15,54,437},{14,51,36},{15,43,25},{14,42,48},{27,5,1514},{7,55,421},{11,43,13},{7,39,426},{31,20,1514},{7,39,426},{13,51,434},{13,51,434},{13,51,434},{13,42,434},{11,50,338},{11,43,13},{11,43,13},{11,35,18},{4,47,341},{7,37,42},{15,45,16},
{15,45,16},{15,45,16},{15,39,17},{24,6,338},{10,45,1},{10,45,1},{9,36,1},{29,17,338},{9,36,1},{31,0,421},{12,54,1},{16,43,4},{12,43,0},{31,0,421},{30,27,421},{12,43,0},{0,39,425},{30,27,421},{0,39,425},{13,0,433},{13,0,433},{13,0,433},{13,0,433},{11,41,1},{11,41,1},{11,41,1},{11,34,1},{6,40,1},{6,40,1},{14,63,854},{14,55,437},{14,46,593},
{14,45,442},{12,61,1515},{11,51,561},{12,45,19},{11,41,589},{2,59,1518},{7,41,430},{15,60,437},{15,53,36},{16,45,34},{15,44,48},{30,0,1514},{9,55,425},{12,45,18},{8,41,426},{28,27,1514},{8,41,426},{14,53,434},{14,53,434},{14,53,434},{14,44,434},{12,51,341},{12,46,17},{12,46,17},{12,37,19},{4,51,340},{8,38,38},{15,50,16},{15,50,16},{15,50,16},{15,42,17},{27,1,338},
{11,47,1},{11,47,1},{10,38,1},{30,19,338},{10,38,1},{31,6,421},{13,56,1},{17,45,4},{13,45,0},{31,6,421},{31,29,421},{13,45,0},{0,41,425},{31,29,421},{0,41,425},{14,0,433},{14,0,433},{14,0,433},{14,0,433},{12,43,1},{12,43,1},{12,43,1},{12,36,2},{7,42,1},{7,42,1},{15,63,878},{15,57,437},{15,48,579},{15,47,442},{13,63,1515},{12,54,555},{13,47,19},
{12,43,574},{3,61,1518},{8,43,429},{16,61,430},{16,54,34},{17,47,34},{16,46,41},{31,2,1514},{10,57,425},{13,47,18},{9,43,426},{29,29,1514},{9,43,426},{15,55,434},{15,55,434},{15,55,434},{15,46,434},{13,53,341},{13,47,19},{13,47,19},{13,39,19},{5,53,340},{9,40,38},{16,52,9},{16,52,9},{16,52,9},{16,44,10},{28,3,338},{12,49,1},{12,49,1},{11,40,1},{31,21,338},
{11,40,1},{31,11,421},{14,58,1},{18,47,4},{14,47,0},{31,11,421},{31,32,421},{14,47,0},{0,43,425},{31,32,421},{0,43,425},{15,0,433},{15,0,433},{15,0,433},{15,0,433},{13,45,1},{13,45,1},{13,45,1},{13,38,2},{8,43,4},{8,43,4},{16,63,926},{16,58,450},{16,49,590},{16,48,458},{14,63,1542},{13,56,555},{14,49,15},{13,45,574},{4,62,1517},{9,45,429},{17,63,430},
{17,56,34},{18,49,30},{17,48,43},{30,11,1514},{11,59,425},{14,49,14},{10,45,426},{30,31,1514},{10,45,426},{16,57,445},{16,57,445},{16,57,445},{16,47,446},{14,55,341},{14,49,14},{14,49,14},{14,41,19},{6,55,340},{10,42,38},{17,54,9},{17,54,9},{17,54,9},{17,46,10},{29,5,338},{13,51,1},{13,51,1},{12,42,1},{31,24,338},{12,42,1},{31,16,421},{15,60,1},{18,49,5},
{15,49,2},{31,16,421},{31,35,421},{15,49,2},{0,45,425},{31,35,421},{0,45,425},{16,0,445},{16,0,445},{16,0,445},{16,0,445},{14,47,1},{14,47,1},{14,47,1},{14,40,2},{9,45,4},{9,45,4},{17,63,1034},{17,61,438},{17,52,593},{17,51,442},{16,63,1598},{15,57,554},{15,51,13},{15,47,577},{6,63,1535},{10,48,434},{19,63,437},{18,59,41},{19,51,25},{18,50,48},{29,20,1514},
{11,63,422},{15,51,13},{11,47,433},{31,33,1514},{11,47,433},{17,60,433},{17,60,433},{17,60,433},{17,50,434},{15,58,338},{15,51,13},{15,51,13},{15,43,20},{7,57,339},{12,44,41},{19,53,16},{19,53,16},{19,53,16},{19,47,17},{31,4,338},{14,53,1},{14,53,1},{13,44,1},{30,29,338},{13,44,1},{31,22,421},{16,63,1},{20,51,4},{16,51,0},{31,22,421},{30,40,421},{16,51,0},
{0,47,433},{30,40,421},{0,47,433},{17,0,433},{17,0,433},{17,0,433},{17,0,433},{15,49,1},{15,49,1},{15,49,1},{15,42,0},{10,48,1},{10,48,1},{18,63,1166},{18,63,438},{18,54,593},{18,53,442},{17,63,1643},{15,60,561},{16,53,19},{15,49,589},{8,63,1566},{11,49,430},{20,63,458},{19,61,41},{20,53,34},{19,52,48},{30,22,1514},{13,63,429},{16,53,18},{12,49,426},{28,40,1514},
{12,49,426},{18,62,433},{18,62,433},{18,62,433},{18,52,434},{16,60,339},{16,54,17},{16,54,17},{16,45,26},{9,57,341},{13,46,41},{19,58,17},{19,58,17},{19,58,17},{19,50,17},{30,13,338},{15,55,1},{15,55,1},{14,46,1},{31,31,338},{14,46,1},{31,27,421},{18,63,5},{21,53,4},{17,53,0},{31,27,421},{31,42,421},{17,53,0},{0,49,425},{31,42,421},{0,49,425},{18,0,433},
{18,0,433},{18,0,433},{18,0,433},{16,51,1},{16,51,1},{16,51,1},{16,44,1},{11,50,1},{11,50,1},{20,63,1326},{19,63,470},{19,56,593},{19,55,442},{18,63,1742},{16,62,546},{17,55,19},{16,51,574},{10,63,1638},{12,51,429},{21,63,506},{20,63,29},{21,55,34},{20,54,41},{31,24,1514},{15,63,461},{17,55,18},{13,51,426},{29,42,1514},{13,51,426},{19,63,434},{19,63,434},{19,63,434},
{19,54,434},{17,62,339},{17,56,17},{17,56,17},{17,47,26},{10,59,341},{13,48,38},{20,60,9},{20,60,9},{20,60,9},{20,52,10},{31,15,338},{16,57,2},{16,57,2},{15,48,1},{31,34,338},{15,48,1},{31,32,421},{20,63,20},{22,55,4},{18,55,0},{31,32,421},{31,45,421},{18,55,0},{0,51,425},{31,45,421},{0,51,425},{19,0,433},{19,0,433},{19,0,433},{19,0,433},{17,53,1},
{17,53,1},{17,53,1},{17,46,1},{12,51,4},{12,51,4},{21,63,1470},{20,63,561},{20,58,582},{20,57,461},{19,63,1895},{18,62,562},{18,57,19},{17,53,574},{12,63,1761},{13,53,429},{22,63,590},{21,63,59},{22,57,34},{21,56,41},{31,29,1514},{17,63,530},{18,57,18},{14,53,426},{30,44,1514},{14,53,426},{20,63,461},{20,63,461},{20,63,461},{20,55,446},{18,63,341},{18,58,17},{18,58,17},
{18,49,19},{11,61,341},{14,50,38},{21,62,9},{21,62,9},{21,62,9},{21,54,10},{31,20,338},{17,59,2},{17,59,2},{16,50,1},{31,37,338},{16,50,1},{31,38,421},{21,63,50},{23,57,4},{19,57,0},{31,38,421},{31,48,421},{19,57,0},{0,53,425},{31,48,421},{0,53,425},{20,0,445},{20,0,445},{20,0,445},{20,0,445},{18,55,1},{18,55,1},{18,55,1},{18,48,2},{13,53,4},
{13,53,4},{22,63,1674},{21,63,753},{21,60,586},{21,59,443},{21,63,2046},{19,63,629},{19,60,19},{19,55,577},{15,63,1917},{14,56,426},{24,63,674},{23,63,120},{23,60,29},{22,58,50},{31,35,1514},{19,63,629},{19,60,19},{14,56,425},{27,51,1514},{14,56,425},{21,63,497},{21,63,497},{21,63,497},{21,58,433},{19,63,388},{19,60,10},{19,60,10},{19,51,20},{12,63,347},{16,52,41},{23,61,17},
{23,61,17},{23,61,17},{23,55,17},{31,26,338},{18,62,2},{18,62,2},{17,52,1},{30,42,338},{17,52,1},{31,44,421},{23,63,104},{24,59,5},{20,59,1},{31,44,421},{31,51,421},{20,59,1},{0,56,425},{31,51,421},{0,56,425},{21,0,433},{21,0,433},{21,0,433},{21,0,433},{19,58,0},{19,58,0},{19,58,0},{19,50,0},{14,56,1},{14,56,1},{23,63,1902},{22,63,995},{22,62,586},
{22,61,443},{22,63,2235},{20,63,759},{20,61,15},{19,57,578},{17,63,2118},{15,58,426},{25,63,770},{24,63,250},{24,61,35},{23,60,50},{31,40,1514},{21,63,701},{20,61,14},{15,58,425},{31,49,1514},{15,58,425},{22,63,554},{22,63,554},{22,63,554},{22,60,433},{21,63,437},{20,61,14},{20,61,14},{20,53,26},{14,63,379},{17,54,41},{24,63,25},{24,63,25},{24,63,25},{23,59,17},{31,31,338},
{19,63,4},{19,63,4},{18,54,1},{31,44,338},{18,54,1},{31,49,421},{25,63,169},{25,61,5},{21,61,1},{31,49,421},{30,56,421},{21,61,1},{0,58,425},{30,56,421},{0,58,425},{22,0,433},{22,0,433},{22,0,433},{22,0,433},{20,59,2},{20,59,2},{20,59,2},{20,52,1},{15,58,1},{15,58,1},{24,63,2045},{24,63,1233},{23,63,629},{23,63,442},{24,63,2360},{22,63,914},{21,63,14},
{20,59,549},{19,63,2241},{16,60,401},{26,63,849},{25,63,395},{25,63,34},{24,62,41},{29,52,1459},{23,63,778},{21,63,13},{17,59,400},{28,56,1459},{17,59,400},{23,63,629},{23,63,629},{23,63,629},{23,62,433},{22,63,491},{21,63,14},{21,63,14},{21,55,26},{16,63,446},{18,56,41},{25,63,34},{25,63,34},{25,63,34},{24,60,10},{31,36,338},{21,63,13},{21,63,13},{19,56,1},{31,47,338},
{19,56,1},{31,54,392},{27,63,218},{26,63,4},{22,63,0},{31,54,392},{29,60,392},{22,63,0},{0,59,400},{29,60,392},{0,59,400},{23,0,433},{23,0,433},{23,0,433},{23,0,433},{21,61,2},{21,61,2},{21,61,2},{21,54,1},{16,60,1},{16,60,1},{25,63,1767},{25,63,1167},{24,63,701},{24,63,449},{24,63,1976},{23,63,747},{22,63,66},{21,60,306},{20,63,1820},{17,61,217},{27,63,611},
{26,63,317},{26,63,61},{25,63,10},{30,52,1064},{25,63,587},{23,63,41},{18,61,208},{28,58,1064},{18,61,208},{24,63,701},{24,63,701},{24,63,701},{24,63,449},{23,63,581},{22,63,66},{22,63,66},{22,57,26},{18,63,530},{19,58,41},{26,63,61},{26,63,61},{26,63,61},{25,62,10},{30,45,338},{23,63,41},{23,63,41},{20,58,1},{31,50,338},{20,58,1},{30,60,200},{28,63,106},{27,63,1},
{25,63,1},{30,60,200},{31,59,200},{25,63,1},{0,60,208},{31,59,200},{0,60,208},{24,0,445},{24,0,445},{24,0,445},{24,0,445},{22,63,2},{22,63,2},{22,63,2},{22,56,1},{17,62,1},{17,62,1},{26,63,1542},{26,63,1122},{25,63,833},{25,63,497},{26,63,1647},{24,63,687},{24,63,203},{23,61,122},{22,63,1515},{19,62,78},{28,63,410},{28,63,266},{27,63,116},{27,63,20},{30,56,722},
{26,63,402},{25,63,100},{20,62,65},{30,58,722},{20,62,65},{25,63,833},{25,63,833},{25,63,833},{25,63,497},{24,63,707},{24,63,203},{24,63,203},{23,60,17},{20,63,619},{19,61,46},{27,63,116},{27,63,116},{27,63,116},{27,63,20},{29,54,338},{25,63,100},{25,63,100},{22,60,2},{29,56,338},{22,60,2},{31,59,61},{29,63,37},{29,63,1},{27,63,4},{31,59,61},{31,61,61},{27,63,4},
{0,62,65},{31,61,61},{0,62,65},{25,0,433},{25,0,433},{25,0,433},{25,0,433},{23,63,25},{23,63,25},{23,63,25},{23,58,1},{19,62,13},{19,62,13},{27,63,1406},{27,63,1134},{26,63,962},{26,63,602},{27,63,1454},{25,63,702},{25,63,341},{24,62,43},{24,63,1378},{20,63,35},{29,63,318},{28,63,250},{28,63,169},{28,63,61},{31,56,509},{28,63,313},{27,63,164},{22,63,10},{30,60,509},
{22,63,10},{26,63,962},{26,63,962},{26,63,962},{26,63,602},{26,63,827},{25,63,341},{25,63,341},{24,62,27},{22,63,747},{20,63,35},{28,63,169},{28,63,169},{28,63,169},{28,63,61},{30,56,338},{27,63,164},{27,63,164},{23,62,2},{30,58,338},{23,62,2},{31,62,5},{31,63,9},{30,63,4},{30,63,0},{31,62,5},{31,62,9},{30,63,0},{0,63,9},{31,62,9},{0,63,9},{26,0,433},
{26,0,433},{26,0,433},{26,0,433},{24,63,50},{24,63,50},{24,63,50},{24,60,1},{20,63,26},{20,63,26},{28,63,1135},{28,63,991},{27,63,874},{27,63,602},{28,63,1162},{26,63,618},{26,63,362},{25,63,5},{25,63,1087},{22,63,58},{30,63,219},{29,63,161},{29,63,125},{29,63,61},{30,62,294},{29,63,193},{28,63,117},{24,63,1},{31,60,297},{24,63,1},{27,63,874},{27,63,874},{27,63,874},
{27,63,602},{27,63,730},{26,63,362},{26,63,362},{25,63,5},{24,63,681},{22,63,58},{29,63,125},{29,63,125},{29,63,125},{29,63,61},{31,56,221},{28,63,117},{28,63,117},{24,63,1},{31,59,221},{24,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{27,0,433},{27,0,433},{27,0,433},{27,0,433},{25,63,101},
{25,63,101},{25,63,101},{25,62,1},{22,63,58},{22,63,58},{29,63,885},{28,63,751},{28,63,670},{28,63,526},{28,63,778},{27,63,483},{27,63,314},{26,63,10},{26,63,777},{24,63,117},{30,63,75},{30,63,59},{30,63,50},{30,63,34},{31,60,114},{29,63,81},{29,63,45},{27,63,0},{31,61,114},{27,63,0},{28,63,670},{28,63,670},{28,63,670},{28,63,526},{28,63,553},{27,63,314},{27,63,314},
{26,63,10},{25,63,518},{24,63,117},{30,63,50},{30,63,50},{30,63,50},{30,63,34},{31,59,85},{29,63,45},{29,63,45},{27,63,0},{30,62,85},{27,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{28,0,445},{28,0,445},{28,0,445},{28,0,445},{27,63,145},{27,63,145},{27,63,145},{26,63,10},{24,63,117},
{24,63,117},{0,26,882},{0,21,218},{0,15,16},{0,13,260},{0,17,1899},{0,13,1341},{0,11,593},{0,8,1380},{0,9,2113},{0,7,1513},{0,26,882},{0,21,218},{0,15,16},{0,13,260},{4,4,1896},{0,13,1341},{0,11,593},{0,8,1380},{7,2,1896},{0,8,1380},{0,12,0},{0,12,0},{0,12,0},{0,7,1},{0,6,162},{0,5,85},{0,5,85},{0,3,85},{0,3,186},{0,3,101},{0,12,0},
{0,12,0},{0,12,0},{0,7,1},{1,3,162},{0,5,85},{0,5,85},{0,3,85},{3,0,162},{0,3,85},{6,6,882},{0,21,218},{0,15,16},{0,13,260},{6,6,882},{12,1,882},{0,13,260},{0,10,884},{12,1,882},{0,10,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,31,884},{0,25,146},{0,17,2},
{0,15,185},{0,21,2355},{0,17,1539},{0,13,653},{0,10,1605},{0,11,2667},{0,9,1777},{0,31,884},{0,25,146},{0,17,2},{0,15,185},{5,4,2355},{0,17,1539},{0,13,653},{0,10,1605},{7,4,2355},{0,10,1605},{0,17,1},{0,17,1},{0,17,1},{0,10,1},{0,9,338},{0,8,180},{0,8,180},{0,5,180},{0,5,389},{0,5,229},{0,17,1},{0,17,1},{0,17,1},{0,10,1},{2,2,338},
{0,8,180},{0,8,180},{0,5,180},{2,3,338},{0,5,180},{9,1,882},{0,25,146},{0,17,2},{0,15,185},{9,1,882},{13,3,882},{0,15,185},{0,12,884},{13,3,882},{0,12,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,36,884},{0,29,90},{0,19,37},{0,17,130},{0,25,2899},{0,19,1764},{0,16,733},
{0,11,1853},{0,13,3325},{0,11,2109},{0,36,884},{0,29,90},{0,19,37},{0,17,130},{7,1,2899},{0,19,1764},{0,16,733},{0,11,1853},{12,0,2899},{0,11,1853},{0,23,0},{0,23,0},{0,23,0},{0,14,1},{0,11,580},{0,11,305},{0,11,305},{0,6,325},{0,6,667},{0,5,389},{0,23,0},{0,23,0},{0,23,0},{0,14,1},{2,5,578},{0,11,305},{0,11,305},{0,6,325},{5,1,578},
{0,6,325},{10,3,882},{0,29,90},{1,19,2},{0,17,130},{10,3,882},{18,0,882},{0,17,130},{0,14,884},{18,0,882},{0,14,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,42,918},{0,32,81},{1,21,105},{0,20,109},{0,29,3051},{0,21,1707},{0,19,569},{0,13,1800},{0,16,3672},{0,13,2161},{1,38,888},
{0,32,81},{1,21,41},{0,20,109},{8,2,3048},{0,21,1707},{0,19,569},{0,13,1800},{12,3,3048},{0,13,1800},{0,28,36},{0,28,36},{0,28,36},{0,17,37},{0,16,648},{0,13,269},{0,13,269},{0,9,292},{0,8,824},{0,7,417},{1,25,4},{1,25,4},{1,25,4},{1,16,5},{3,6,648},{0,13,269},{0,13,269},{0,9,292},{8,0,648},{0,9,292},{12,1,882},{0,32,45},{2,21,2},
{0,20,73},{12,1,882},{19,2,882},{0,20,73},{0,16,890},{19,2,882},{0,16,890},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,4,0},{0,4,0},{0,4,0},{0,2,1},{0,2,10},{0,2,10},{1,44,997},{1,34,154},{1,24,229},{1,22,178},{0,35,3048},{0,25,1528},{0,21,324},{0,16,1605},{0,19,3907},{0,15,2138},{2,41,883},{2,32,86},{2,24,42},{1,22,114},{9,5,3048},
{0,25,1528},{0,21,324},{0,16,1605},{15,3,3048},{0,16,1605},{1,31,113},{1,31,113},{1,31,113},{1,19,113},{0,22,648},{0,17,164},{0,17,164},{0,11,193},{0,11,976},{0,9,443},{2,27,2},{2,27,2},{2,27,2},{2,18,1},{6,2,648},{0,17,164},{0,17,164},{0,11,193},{11,0,648},{0,11,193},{13,4,882},{0,36,13},{3,23,4},{0,22,32},{13,4,882},{22,2,882},{0,22,32},
{0,18,884},{22,2,882},{0,18,884},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,10,0},{0,10,0},{0,10,0},{0,6,0},{0,5,58},{0,5,58},{1,49,1173},{1,38,302},{2,26,421},{1,24,321},{0,40,3051},{0,29,1380},{0,23,186},{0,18,1464},{0,21,4201},{0,17,2149},{3,43,883},{3,34,86},{3,26,42},{2,24,114},{12,0,3048},{0,29,1380},{0,23,186},{0,18,1464},{20,0,3048},
{0,18,1464},{1,36,289},{1,36,289},{1,36,289},{1,22,290},{0,27,650},{0,21,100},{0,21,100},{0,13,130},{0,14,1161},{0,13,491},{3,29,2},{3,29,2},{3,29,2},{3,20,1},{8,0,648},{0,21,100},{0,21,100},{0,13,130},{11,3,648},{0,13,130},{14,6,882},{0,40,1},{4,25,1},{0,25,16},{14,6,882},{26,0,882},{0,25,16},{0,20,884},{26,0,882},{0,20,884},{1,0,289},
{1,0,289},{1,0,289},{1,0,289},{0,15,1},{0,15,1},{0,15,1},{0,9,1},{0,7,136},{0,7,136},{2,51,1365},{2,40,494},{2,28,722},{2,26,513},{0,46,3048},{0,32,1269},{0,27,82},{0,20,1341},{0,25,4525},{0,19,2197},{4,45,886},{3,38,90},{4,28,36},{3,26,114},{13,2,3048},{0,32,1269},{0,27,82},{0,20,1341},{21,2,3048},{0,20,1341},{2,38,481},{2,38,481},{2,38,481},
{2,24,482},{0,32,650},{0,25,52},{0,25,52},{0,15,85},{0,17,1345},{0,15,569},{4,31,4},{4,31,4},{4,31,4},{4,22,5},{9,2,648},{0,25,52},{0,25,52},{0,15,85},{16,0,648},{0,15,85},{16,4,882},{1,42,1},{5,27,1},{0,27,1},{16,4,882},{27,2,882},{0,27,1},{0,22,884},{27,2,882},{0,22,884},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{0,21,0},
{0,21,0},{0,21,0},{0,12,1},{0,9,250},{0,9,250},{2,57,1667},{2,44,786},{3,30,1042},{2,29,801},{0,51,3048},{0,36,1157},{0,29,20},{0,22,1236},{0,27,4891},{0,21,2281},{5,47,886},{4,41,86},{5,30,36},{4,28,116},{14,4,3048},{0,36,1157},{0,29,20},{0,22,1236},{25,0,3048},{0,22,1236},{2,43,785},{2,43,785},{2,43,785},{2,27,786},{0,38,648},{0,29,20},{0,29,20},
{0,18,40},{0,19,1594},{0,16,677},{5,33,4},{5,33,4},{5,33,4},{5,24,5},{11,1,648},{0,29,20},{0,29,20},{0,18,40},{17,2,648},{0,18,40},{17,6,882},{2,44,1},{6,29,1},{1,29,1},{17,6,882},{28,4,882},{1,29,1},{0,24,884},{28,4,882},{0,24,884},{2,0,785},{2,0,785},{2,0,785},{2,0,785},{0,26,0},{0,26,0},{0,26,0},{0,16,1},{0,11,400},
{0,11,400},{3,59,1784},{3,46,901},{4,32,1195},{3,31,910},{1,53,3055},{0,40,1094},{1,31,23},{0,25,1175},{0,31,4840},{0,23,2054},{6,49,883},{6,41,81},{6,32,42},{5,30,123},{14,10,3048},{0,40,1058},{1,31,19},{0,25,1139},{28,0,3048},{0,25,1139},{3,46,900},{3,46,900},{3,46,900},{3,30,900},{1,40,654},{1,31,22},{1,31,22},{1,20,38},{0,23,1560},{0,19,533},{6,35,2},
{6,35,2},{6,35,2},{6,26,1},{13,0,648},{0,33,5},{0,33,5},{0,20,13},{20,2,648},{0,20,13},{19,5,882},{3,46,1},{7,31,5},{2,31,1},{19,5,882},{31,4,882},{2,31,1},{0,26,882},{31,4,882},{0,26,882},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{1,29,4},{1,29,4},{1,29,4},{1,18,4},{0,15,377},{0,15,377},{4,61,1772},{4,48,891},{5,34,1195},
{4,33,906},{2,55,3055},{1,42,1094},{2,33,29},{1,27,1175},{0,34,4609},{0,26,1716},{7,51,883},{7,43,81},{7,34,42},{6,32,114},{18,1,3048},{0,44,990},{2,33,25},{0,27,1058},{29,2,3048},{0,27,1058},{4,47,891},{4,47,891},{4,47,891},{4,32,891},{2,42,654},{2,33,29},{2,33,29},{2,22,38},{0,27,1396},{0,21,347},{7,37,2},{7,37,2},{7,37,2},{7,28,1},{14,2,648},
{0,37,1},{0,37,1},{0,23,5},{24,0,648},{0,23,5},{22,0,882},{4,48,1},{8,33,1},{3,33,0},{22,0,882},{31,7,882},{3,33,0},{0,28,882},{31,7,882},{0,28,882},{4,0,890},{4,0,890},{4,0,890},{4,0,890},{2,31,4},{2,31,4},{2,31,4},{2,20,4},{0,19,260},{0,19,260},{5,63,1772},{5,50,891},{6,36,1195},{5,35,906},{3,57,3055},{2,44,1094},{3,35,29},
{2,29,1175},{0,38,4381},{0,29,1436},{8,53,886},{7,47,89},{8,36,36},{7,34,114},{19,3,3048},{0,47,949},{3,35,25},{0,29,995},{30,4,3048},{0,29,995},{5,49,890},{5,49,890},{5,49,890},{5,33,891},{3,44,654},{3,35,29},{3,35,29},{3,24,38},{0,29,1251},{0,24,221},{8,39,4},{8,39,4},{8,39,4},{8,30,4},{16,0,648},{1,39,1},{1,39,1},{0,25,2},{26,1,648},
{0,25,2},{23,2,882},{5,50,1},{9,35,1},{4,35,1},{23,2,882},{28,14,882},{4,35,1},{0,30,882},{28,14,882},{0,30,882},{5,0,890},{5,0,890},{5,0,890},{5,0,890},{3,32,5},{3,32,5},{3,32,5},{3,22,4},{0,23,180},{0,23,180},{6,63,1790},{6,52,891},{7,38,1195},{6,37,906},{4,59,3057},{3,46,1094},{4,37,29},{3,31,1175},{0,42,4185},{0,31,1206},{9,55,886},
{8,49,86},{9,38,36},{8,36,116},{20,5,3048},{0,51,907},{4,37,20},{0,31,950},{31,6,3048},{0,31,950},{6,51,890},{6,51,890},{6,51,890},{6,35,891},{4,46,657},{4,37,29},{4,37,29},{3,26,49},{0,34,1121},{0,27,117},{9,41,4},{9,41,4},{9,41,4},{9,32,5},{17,2,648},{2,41,1},{2,41,1},{1,27,2},{27,3,648},{1,27,2},{24,4,882},{6,52,1},{10,37,1},
{5,37,1},{24,4,882},{28,17,882},{5,37,1},{0,32,884},{28,17,882},{0,32,884},{6,0,890},{6,0,890},{6,0,890},{6,0,890},{4,34,9},{4,34,9},{4,34,9},{4,24,10},{0,27,116},{0,27,116},{8,63,1844},{7,54,901},{8,40,1188},{7,39,910},{5,62,3052},{4,48,1094},{5,39,23},{4,33,1175},{0,44,3969},{0,33,1039},{10,57,885},{10,49,81},{10,40,35},{9,38,123},{23,1,3048},
{0,55,888},{5,39,19},{0,34,907},{29,12,3048},{0,34,907},{7,54,900},{7,54,900},{7,54,900},{7,38,900},{5,48,654},{5,39,22},{5,39,22},{5,28,45},{0,38,990},{0,29,80},{10,43,2},{10,43,2},{10,43,2},{10,34,1},{19,1,648},{3,43,1},{3,43,1},{3,29,1},{29,4,648},{3,29,1},{27,0,882},{7,54,1},{11,39,5},{6,39,1},{27,0,882},{31,17,882},{6,39,1},
{0,34,882},{31,17,882},{0,34,882},{7,0,900},{7,0,900},{7,0,900},{7,0,900},{5,37,4},{5,37,4},{5,37,4},{5,26,4},{0,31,58},{0,31,58},{9,63,1886},{8,56,892},{9,42,1188},{8,41,900},{6,63,3055},{5,50,1094},{6,41,23},{5,35,1175},{0,49,3804},{0,36,935},{11,59,885},{11,51,81},{11,42,35},{10,40,123},{23,6,3048},{0,58,883},{6,41,19},{0,36,886},{30,14,3048},
{0,36,886},{8,55,891},{8,55,891},{8,55,891},{8,40,891},{6,50,654},{6,41,22},{6,41,22},{6,30,45},{0,40,889},{1,31,80},{11,45,2},{11,45,2},{11,45,2},{11,36,1},{20,3,648},{5,43,2},{5,43,2},{4,31,1},{30,6,648},{4,31,1},{27,5,882},{8,56,2},{12,41,2},{7,41,1},{27,5,882},{31,20,882},{7,41,1},{0,36,882},{31,20,882},{0,36,882},{8,0,890},
{8,0,890},{8,0,890},{8,0,890},{6,39,4},{6,39,4},{6,39,4},{6,28,4},{0,34,25},{0,34,25},{10,63,1964},{9,58,892},{10,44,1188},{9,43,900},{7,63,3100},{6,52,1094},{7,43,23},{6,37,1175},{0,51,3640},{0,38,887},{12,61,886},{11,55,89},{12,44,38},{11,42,123},{26,1,3048},{1,60,883},{7,43,19},{0,38,883},{30,17,3048},{0,38,883},{9,57,891},{9,57,891},{9,57,891},
{9,42,891},{7,52,654},{7,43,22},{7,43,22},{7,32,38},{0,44,801},{2,34,86},{12,47,4},{12,47,4},{12,47,4},{12,38,4},{21,5,648},{6,45,2},{6,45,2},{4,33,2},{31,8,648},{4,33,2},{30,0,882},{9,58,2},{13,43,2},{8,43,1},{30,0,882},{28,27,882},{8,43,1},{0,38,882},{28,27,882},{0,38,882},{9,0,890},{9,0,890},{9,0,890},{9,0,890},{7,41,4},
{7,41,4},{7,41,4},{7,30,4},{0,38,5},{0,38,5},{11,63,2078},{10,60,892},{11,46,1188},{10,45,900},{9,63,3181},{7,54,1094},{8,45,35},{7,39,1175},{0,55,3496},{1,40,887},{13,63,886},{12,56,88},{13,46,38},{12,44,110},{27,3,3048},{2,62,883},{7,46,25},{1,40,883},{31,19,3048},{1,40,883},{10,59,891},{10,59,891},{10,59,891},{10,44,891},{8,54,657},{8,45,34},{8,45,34},
{7,34,49},{0,48,756},{3,36,86},{13,49,4},{13,49,4},{13,49,4},{13,40,4},{24,0,648},{6,49,1},{6,49,1},{5,35,2},{31,11,648},{5,35,2},{31,2,882},{10,60,2},{14,45,2},{9,45,1},{31,2,882},{29,29,882},{9,45,1},{0,40,882},{29,29,882},{0,40,882},{10,0,890},{10,0,890},{10,0,890},{10,0,890},{8,42,9},{8,42,9},{8,42,9},{8,32,10},{0,42,1},
{0,42,1},{12,63,2228},{11,63,902},{12,48,1188},{11,47,908},{10,63,3256},{8,57,1095},{9,47,33},{8,41,1164},{0,59,3364},{2,42,889},{14,63,915},{14,57,90},{14,48,35},{13,47,117},{29,2,3048},{4,63,886},{8,48,25},{3,42,885},{29,25,3048},{3,42,885},{11,62,900},{11,62,900},{11,62,900},{11,46,900},{9,57,652},{9,47,29},{9,47,29},{9,36,45},{0,51,691},{4,37,80},{14,51,2},
{14,51,2},{14,51,2},{14,42,2},{24,6,648},{7,51,1},{7,51,1},{7,37,1},{29,17,648},{7,37,1},{31,8,882},{11,63,2},{15,47,8},{10,47,5},{31,8,882},{31,30,882},{10,47,5},{0,42,884},{31,30,882},{0,42,884},{11,0,900},{11,0,900},{11,0,900},{11,0,900},{9,45,4},{9,45,4},{9,45,4},{9,34,4},{1,44,1},{1,44,1},{13,63,2414},{12,63,907},{13,50,1188},
{12,49,900},{11,63,3391},{9,59,1095},{10,49,23},{9,43,1164},{0,63,3276},{3,44,889},{15,63,981},{15,59,90},{15,50,35},{14,48,123},{31,1,3048},{6,63,906},{10,49,19},{4,44,885},{30,27,3048},{4,44,885},{12,63,891},{12,63,891},{12,63,891},{12,48,891},{10,59,652},{10,49,22},{10,49,22},{10,38,45},{0,55,659},{5,39,80},{15,53,2},{15,53,2},{15,53,2},{15,44,2},{27,1,648},
{9,51,2},{9,51,2},{8,39,1},{30,19,648},{8,39,1},{29,20,882},{12,63,17},{16,49,2},{11,49,1},{29,20,882},{31,33,882},{11,49,1},{0,44,884},{31,33,882},{0,44,884},{12,0,890},{12,0,890},{12,0,890},{12,0,890},{10,47,4},{10,47,4},{10,47,4},{10,36,4},{2,46,1},{2,46,1},{15,63,2606},{13,63,987},{14,52,1188},{13,51,900},{13,63,3517},{10,61,1095},{11,51,23},
{10,45,1164},{1,63,3300},{4,46,892},{17,63,1014},{15,63,94},{16,52,38},{15,50,123},{31,6,3048},{8,63,936},{11,51,19},{5,46,885},{31,29,3048},{5,46,885},{13,63,906},{13,63,906},{13,63,906},{13,50,891},{11,61,652},{11,51,22},{11,51,22},{11,40,45},{0,59,651},{6,41,80},{16,55,4},{16,55,4},{16,55,4},{16,46,5},{28,3,648},{10,53,2},{10,53,2},{9,41,1},{31,21,648},
{9,41,1},{30,22,882},{14,63,37},{17,51,2},{12,51,1},{30,22,882},{28,40,882},{12,51,1},{0,46,884},{28,40,882},{0,46,884},{13,0,890},{13,0,890},{13,0,890},{13,0,890},{11,49,4},{11,49,4},{11,49,4},{11,38,4},{3,48,0},{3,48,0},{16,63,2792},{15,63,1079},{15,54,1188},{14,53,900},{14,63,3652},{11,63,1095},{12,53,35},{11,47,1164},{3,63,3436},{5,48,887},{18,63,1080},
{17,62,102},{17,54,38},{16,52,110},{30,15,3048},{10,63,996},{11,54,25},{5,48,883},{31,32,3048},{5,48,883},{14,63,939},{14,63,939},{14,63,939},{14,52,891},{12,62,657},{12,53,34},{12,53,34},{12,42,50},{1,61,651},{7,43,80},{17,57,4},{17,57,4},{17,57,4},{17,48,4},{29,5,648},{11,55,2},{11,55,2},{10,43,1},{31,24,648},{10,43,1},{31,24,882},{16,63,80},{18,53,2},
{13,53,1},{31,24,882},{29,42,882},{13,53,1},{0,48,882},{29,42,882},{0,48,882},{14,0,890},{14,0,890},{14,0,890},{14,0,890},{12,50,9},{12,50,9},{12,50,9},{12,40,9},{4,50,1},{4,50,1},{17,63,3038},{16,63,1268},{16,57,1186},{15,55,908},{15,63,3879},{12,63,1146},{13,55,33},{12,49,1164},{5,63,3667},{6,50,889},{19,63,1205},{18,63,147},{18,56,41},{17,55,117},{31,17,3048},
{12,63,1110},{12,56,20},{7,50,885},{29,38,3048},{7,50,885},{16,63,979},{16,63,979},{16,63,979},{15,54,900},{13,63,670},{13,55,29},{13,55,29},{13,45,41},{2,63,648},{8,46,81},{18,60,1},{18,60,1},{18,60,1},{18,50,2},{31,4,648},{11,59,4},{11,59,4},{11,45,1},{30,29,648},{11,45,1},{31,30,882},{18,63,146},{19,56,5},{14,55,5},{31,30,882},{31,43,882},{14,55,5},
{0,50,884},{31,43,882},{0,50,884},{15,0,900},{15,0,900},{15,0,900},{15,0,900},{13,53,4},{13,53,4},{13,53,4},{13,42,5},{5,52,1},{5,52,1},{18,63,3308},{17,63,1502},{17,59,1186},{16,57,898},{17,63,4077},{14,63,1230},{14,57,33},{13,51,1164},{8,63,3820},{7,52,889},{21,63,1368},{19,63,261},{19,58,41},{18,57,117},{30,26,3048},{14,63,1226},{13,58,20},{8,52,885},{30,40,3048},
{8,52,885},{17,63,1018},{17,63,1018},{17,63,1018},{16,56,890},{14,63,724},{14,57,29},{14,57,29},{14,47,41},{4,63,665},{9,48,88},{19,62,1},{19,62,1},{19,62,1},{19,52,2},{30,13,648},{12,61,1},{12,61,1},{12,47,1},{31,31,648},{12,47,1},{31,35,882},{20,63,193},{20,58,4},{15,57,5},{31,35,882},{27,51,882},{15,57,5},{0,52,884},{27,51,882},{0,52,884},{16,0,890},
{16,0,890},{16,0,890},{16,0,890},{14,55,4},{14,55,4},{14,55,4},{14,44,5},{6,54,1},{6,54,1},{19,63,3614},{18,63,1804},{18,61,1186},{17,59,898},{18,63,4284},{15,63,1417},{15,59,33},{14,53,1164},{9,63,4036},{8,54,892},{22,63,1494},{20,63,405},{20,60,33},{19,59,117},{31,28,3048},{16,63,1395},{14,60,20},{9,54,885},{31,42,3048},{9,54,885},{18,63,1075},{18,63,1075},{18,63,1075},
{17,58,890},{16,63,787},{15,59,29},{15,59,29},{15,48,45},{6,63,705},{10,49,80},{20,63,5},{20,63,5},{20,63,5},{20,54,5},{31,15,648},{13,63,1},{13,63,1},{13,49,1},{31,34,648},{13,49,1},{31,40,882},{22,63,277},{21,60,4},{16,59,5},{31,40,882},{31,49,882},{16,59,5},{0,54,884},{31,49,882},{0,54,884},{17,0,890},{17,0,890},{17,0,890},{17,0,890},{15,57,4},
{15,57,4},{15,57,4},{15,46,5},{7,56,1},{7,56,1},{20,63,4014},{19,63,2174},{19,63,1186},{18,61,898},{19,63,4545},{17,63,1725},{16,62,39},{15,55,1164},{11,63,4300},{9,56,892},{23,63,1656},{22,63,585},{21,62,33},{20,60,108},{31,33,3048},{18,63,1563},{15,62,20},{10,56,885},{31,45,3048},{10,56,885},{19,63,1150},{19,63,1150},{19,63,1150},{18,60,890},{17,63,841},{16,62,35},{16,62,35},
{16,50,50},{8,63,747},{11,51,80},{21,63,20},{21,63,20},{21,63,20},{21,56,5},{31,20,648},{15,63,5},{15,63,5},{14,51,1},{31,37,648},{14,51,1},{29,52,882},{23,63,397},{22,62,4},{17,61,5},{29,52,882},{28,56,882},{17,61,5},{0,56,884},{28,56,882},{0,56,884},{18,0,890},{18,0,890},{18,0,890},{18,0,890},{16,58,10},{16,58,10},{16,58,10},{16,48,9},{8,58,0},
{8,58,0},{22,63,4123},{21,63,2404},{20,63,1278},{19,63,901},{20,63,4626},{18,63,1849},{17,63,38},{16,57,1006},{14,63,4330},{10,58,771},{24,63,1629},{23,63,715},{22,63,65},{22,62,81},{31,38,2814},{20,63,1505},{17,63,34},{11,58,761},{31,48,2814},{11,58,761},{20,63,1278},{20,63,1278},{20,63,1278},{19,62,901},{18,63,948},{17,63,38},{17,63,38},{17,53,41},{10,63,840},{12,54,81},{22,63,65},
{22,63,65},{22,63,65},{22,59,2},{31,26,648},{17,63,34},{17,63,34},{15,53,1},{30,42,648},{15,53,1},{31,50,761},{25,63,425},{23,63,9},{19,63,1},{31,50,761},{31,55,761},{19,63,1},{0,58,761},{31,55,761},{0,58,761},{19,0,900},{19,0,900},{19,0,900},{19,0,900},{17,61,4},{17,61,4},{17,61,4},{17,50,5},{9,60,2},{9,60,2},{23,63,3735},{22,63,2314},{21,63,1395},
{20,63,899},{22,63,4090},{19,63,1618},{18,63,104},{17,58,678},{15,63,3826},{11,59,507},{25,63,1285},{24,63,609},{23,63,122},{23,62,26},{30,45,2249},{21,63,1186},{19,63,74},{13,59,482},{31,50,2249},{13,59,482},{21,63,1395},{21,63,1395},{21,63,1395},{20,63,899},{19,63,1086},{18,63,104},{18,63,104},{18,55,41},{12,63,969},{13,56,81},{23,63,122},{23,63,122},{23,63,122},{23,61,2},{31,31,648},
{19,63,74},{19,63,74},{16,55,1},{31,44,648},{16,55,1},{31,53,481},{27,63,269},{25,63,0},{21,63,0},{31,53,481},{31,57,481},{21,63,0},{0,59,481},{31,57,481},{0,59,481},{20,0,890},{20,0,890},{20,0,890},{20,0,890},{18,63,4},{18,63,4},{18,63,4},{18,52,5},{10,62,2},{10,62,2},{23,63,3399},{23,63,2260},{22,63,1530},{21,63,954},{23,63,3639},{20,63,1402},{19,63,238},
{18,59,405},{17,63,3443},{13,60,297},{26,63,1009},{25,63,525},{25,63,164},{24,63,5},{29,52,1769},{23,63,918},{21,63,113},{14,60,266},{28,56,1769},{14,60,266},{22,63,1530},{22,63,1530},{22,63,1530},{21,63,954},{21,63,1251},{19,63,238},{19,63,238},{19,57,41},{14,63,1105},{14,58,81},{25,63,164},{25,63,164},{25,63,164},{24,62,5},{31,36,648},{21,63,113},{21,63,113},{17,57,1},{31,47,648},
{17,57,1},{31,55,265},{28,63,145},{27,63,4},{24,63,1},{31,55,265},{30,60,265},{24,63,1},{0,60,265},{30,60,265},{0,60,265},{21,0,890},{21,0,890},{21,0,890},{21,0,890},{19,63,13},{19,63,13},{19,63,13},{19,54,5},{12,62,8},{12,62,8},{24,63,3069},{24,63,2257},{23,63,1683},{23,63,1054},{24,63,3258},{22,63,1330},{21,63,378},{19,61,213},{20,63,3102},{14,61,166},{27,63,801},
{26,63,477},{26,63,221},{25,63,20},{30,52,1374},{24,63,758},{23,63,181},{16,61,114},{28,58,1374},{16,61,114},{23,63,1683},{23,63,1683},{23,63,1683},{23,63,1054},{22,63,1401},{21,63,378},{21,63,378},{19,59,46},{16,63,1296},{15,60,81},{26,63,221},{26,63,221},{26,63,221},{25,63,20},{30,45,648},{23,63,181},{23,63,181},{18,59,1},{31,50,648},{18,59,1},{31,58,113},{29,63,61},{28,63,0},
{26,63,1},{31,58,113},{31,60,113},{26,63,1},{0,61,113},{31,60,113},{0,61,113},{22,0,890},{22,0,890},{22,0,890},{22,0,890},{20,63,45},{20,63,45},{20,63,45},{20,56,10},{13,63,25},{13,63,25},{25,63,2860},{25,63,2260},{24,63,1854},{24,63,1210},{25,63,2932},{23,63,1310},{22,63,609},{20,62,81},{21,63,2731},{16,62,94},{28,63,630},{27,63,475},{27,63,306},{26,63,101},{30,56,1032},
{26,63,612},{25,63,290},{18,62,21},{30,58,1032},{18,62,21},{24,63,1854},{24,63,1854},{24,63,1854},{24,63,1210},{23,63,1620},{22,63,609},{22,63,609},{21,61,44},{18,63,1515},{16,62,78},{27,63,306},{27,63,306},{27,63,306},{26,63,101},{29,54,648},{25,63,290},{25,63,290},{19,61,5},{29,56,648},{19,61,5},{31,61,18},{30,63,10},{30,63,1},{29,63,0},{31,61,18},{31,62,18},{29,63,0},
{0,62,20},{31,62,18},{0,62,20},{23,0,900},{23,0,900},{23,0,900},{23,0,900},{21,63,104},{21,63,104},{21,63,104},{21,59,5},{15,63,65},{15,63,65},{26,63,2626},{26,63,2206},{25,63,1915},{25,63,1315},{26,63,2641},{24,63,1333},{23,63,789},{22,63,40},{22,63,2445},{17,63,116},{29,63,524},{28,63,406},{28,63,325},{27,63,170},{31,56,771},{27,63,507},{26,63,320},{20,63,0},{30,60,771},
{20,63,0},{25,63,1915},{25,63,1915},{25,63,1915},{25,63,1315},{24,63,1661},{23,63,789},{23,63,789},{22,62,29},{20,63,1517},{17,63,116},{28,63,325},{28,63,325},{28,63,325},{27,63,170},{31,52,578},{26,63,320},{26,63,320},{20,63,0},{28,60,578},{20,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{24,0,890},
{24,0,890},{24,0,890},{24,0,890},{23,63,164},{23,63,164},{23,63,164},{22,61,5},{17,63,116},{17,63,116},{27,63,2156},{27,63,1884},{26,63,1630},{26,63,1210},{26,63,2081},{25,63,1108},{24,63,705},{23,63,5},{23,63,1927},{19,63,180},{29,63,300},{29,63,236},{29,63,200},{28,63,85},{31,57,451},{28,63,283},{27,63,194},{23,63,1},{29,62,451},{23,63,1},{26,63,1630},{26,63,1630},{26,63,1630},
{26,63,1210},{25,63,1347},{24,63,705},{24,63,705},{23,63,5},{22,63,1229},{19,63,180},{29,63,200},{29,63,200},{29,63,200},{28,63,85},{30,58,338},{27,63,194},{27,63,194},{23,63,1},{31,58,338},{23,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{25,0,890},{25,0,890},{25,0,890},{25,0,890},{24,63,221},
{24,63,221},{24,63,221},{23,63,5},{19,63,180},{19,63,180},{28,63,1782},{27,63,1564},{27,63,1395},{27,63,1123},{27,63,1620},{26,63,937},{25,63,651},{24,63,25},{24,63,1560},{21,63,233},{30,63,150},{30,63,134},{29,63,104},{29,63,40},{31,59,216},{29,63,136},{28,63,90},{25,63,1},{30,62,216},{25,63,1},{27,63,1395},{27,63,1395},{27,63,1395},{27,63,1123},{26,63,1101},{25,63,651},{25,63,651},
{24,63,25},{23,63,998},{21,63,233},{29,63,104},{29,63,104},{29,63,104},{29,63,40},{31,57,162},{28,63,90},{28,63,90},{25,63,1},{29,62,162},{25,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{26,0,890},{26,0,890},{26,0,890},{26,0,890},{25,63,290},{25,63,290},{25,63,290},{24,63,25},{21,63,233},
{21,63,233},{0,34,1570},{0,27,400},{0,19,25},{0,16,481},{0,23,3372},{0,17,2355},{0,15,1053},{0,11,2425},{0,13,3753},{0,11,2681},{0,34,1570},{0,27,400},{0,19,25},{0,16,481},{7,0,3371},{0,17,2355},{0,15,1053},{0,11,2425},{10,2,3371},{0,11,2425},{0,16,0},{0,16,0},{0,16,0},{0,10,1},{0,8,288},{0,7,149},{0,7,149},{0,5,160},{0,4,332},{0,4,200},{0,16,0},
{0,16,0},{0,16,0},{0,10,1},{1,5,288},{0,7,149},{0,7,149},{0,5,160},{4,0,288},{0,5,160},{10,1,1568},{0,27,400},{0,19,25},{0,16,481},{10,1,1568},{17,0,1568},{0,16,481},{0,13,1568},{17,0,1568},{0,13,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,40,1568},{0,31,296},{0,22,2},
{0,20,373},{0,27,3968},{0,21,2627},{0,17,1107},{0,13,2720},{0,15,4479},{0,11,3065},{0,40,1568},{0,31,296},{0,22,2},{0,20,373},{7,3,3968},{0,21,2627},{0,17,1107},{0,13,2720},{13,0,3968},{0,13,2720},{0,21,1},{0,21,1},{0,21,1},{0,13,0},{0,11,512},{0,9,269},{0,9,269},{0,5,288},{0,5,593},{0,5,337},{0,21,1},{0,21,1},{0,21,1},{0,13,0},{3,1,512},
{0,9,269},{0,9,269},{0,5,288},{3,3,512},{0,5,288},{11,3,1568},{0,31,296},{0,22,2},{0,20,373},{11,3,1568},{18,2,1568},{0,20,373},{0,15,1568},{18,2,1568},{0,15,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,45,1568},{0,34,221},{0,24,17},{0,22,274},{0,30,4651},{0,23,2924},{0,19,1209},
{0,15,3065},{0,17,5292},{0,13,3465},{0,45,1568},{0,34,221},{0,24,17},{0,22,274},{8,3,4651},{0,23,2924},{0,19,1209},{0,15,3065},{14,1,4651},{0,15,3065},{0,27,0},{0,27,0},{0,27,0},{0,16,0},{0,13,802},{0,12,424},{0,12,424},{0,7,433},{0,7,918},{0,7,533},{0,27,0},{0,27,0},{0,27,0},{0,16,0},{4,0,800},{0,12,424},{0,12,424},{0,7,433},{6,1,800},
{0,7,433},{13,1,1568},{0,34,221},{1,24,2},{0,22,274},{13,1,1568},{19,4,1568},{0,22,274},{0,17,1570},{19,4,1568},{0,17,1570},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,50,1568},{0,38,145},{0,26,82},{0,24,193},{0,34,5419},{0,25,3275},{0,21,1347},{0,16,3410},{0,17,6220},{0,15,3933},{0,50,1568},
{0,38,145},{1,26,81},{0,24,193},{10,0,5419},{0,25,3275},{0,21,1347},{0,16,3410},{15,2,5419},{0,16,3410},{0,32,0},{0,32,0},{0,32,0},{0,19,0},{0,16,1152},{0,15,605},{0,15,605},{0,9,628},{0,8,1328},{0,7,789},{0,32,0},{0,32,0},{0,32,0},{0,19,0},{3,6,1152},{0,15,605},{0,15,605},{0,9,628},{8,0,1152},{0,9,628},{15,0,1568},{0,38,145},{2,26,2},
{0,24,193},{15,0,1568},{24,1,1568},{0,24,193},{0,19,1570},{24,1,1568},{0,19,1570},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,53,1633},{0,42,166},{1,29,162},{0,26,209},{0,40,5419},{0,29,3012},{0,25,964},{0,18,3152},{0,21,6513},{0,17,3861},{1,53,1569},{1,42,138},{2,28,74},{1,26,186},{11,3,5419},
{0,29,3012},{0,25,964},{0,18,3152},{18,2,5419},{0,18,3152},{1,34,66},{1,34,66},{1,34,66},{1,21,66},{0,22,1152},{0,19,442},{0,19,442},{0,11,493},{0,11,1480},{0,11,749},{1,34,2},{1,34,2},{1,34,2},{1,21,2},{6,2,1152},{0,19,442},{0,19,442},{0,11,493},{11,0,1152},{0,11,493},{16,2,1568},{0,42,85},{3,28,0},{0,26,128},{16,2,1568},{27,1,1568},{0,26,128},
{0,21,1568},{27,1,1568},{0,21,1568},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,6,0},{0,6,0},{0,6,0},{0,4,1},{0,3,20},{0,3,20},{1,58,1713},{1,44,230},{2,31,354},{1,28,273},{0,45,5419},{0,32,2817},{0,27,682},{0,20,2945},{0,25,6853},{0,19,3825},{2,55,1569},{2,44,138},{3,30,74},{2,28,186},{13,1,5419},{0,32,2817},{0,27,682},{0,20,2945},{19,4,5419},
{0,20,2945},{1,40,145},{1,40,145},{1,40,145},{1,25,146},{0,27,1154},{0,23,338},{0,23,338},{0,13,394},{0,14,1665},{0,13,755},{2,36,2},{2,36,2},{2,36,2},{2,23,2},{8,0,1152},{0,23,338},{0,23,338},{0,13,394},{11,3,1152},{0,13,394},{17,4,1568},{0,46,41},{4,30,1},{0,29,80},{17,4,1568},{27,4,1568},{0,29,80},{0,23,1568},{27,4,1568},{0,23,1568},{1,0,145},
{1,0,145},{1,0,145},{1,0,145},{0,11,1},{0,11,1},{0,11,1},{0,7,0},{0,5,74},{0,5,74},{2,60,1905},{1,49,393},{2,33,531},{1,31,433},{0,50,5419},{0,36,2609},{0,29,468},{0,22,2756},{0,27,7195},{0,21,3825},{3,57,1569},{3,46,138},{4,32,81},{3,30,186},{15,0,5419},{0,36,2609},{0,29,468},{0,22,2756},{24,1,5419},{0,22,2756},{2,42,337},{2,42,337},{2,42,337},
{2,27,338},{0,32,1154},{0,25,244},{0,25,244},{0,16,289},{0,17,1849},{0,15,797},{3,38,2},{3,38,2},{3,38,2},{3,25,2},{9,2,1152},{0,25,244},{0,25,244},{0,16,289},{16,0,1152},{0,16,289},{18,6,1568},{0,51,16},{5,32,2},{0,31,41},{18,6,1568},{28,6,1568},{0,31,41},{0,25,1568},{28,6,1568},{0,25,1568},{2,0,337},{2,0,337},{2,0,337},{2,0,337},{0,17,0},
{0,17,0},{0,17,0},{0,10,0},{0,7,164},{0,7,164},{2,63,2145},{2,51,585},{3,35,851},{2,33,618},{0,55,5420},{0,40,2425},{0,32,274},{0,24,2585},{0,29,7609},{0,23,3861},{4,58,1570},{4,47,136},{5,34,81},{4,32,193},{16,1,5419},{0,40,2425},{0,32,274},{0,24,2585},{25,3,5419},{0,24,2585},{2,47,545},{2,47,545},{2,47,545},{2,30,545},{0,38,1152},{0,29,164},{0,29,164},
{0,18,208},{0,19,2098},{0,17,869},{4,40,0},{4,40,0},{4,40,0},{4,27,1},{11,1,1152},{0,29,164},{0,29,164},{0,18,208},{17,2,1152},{0,18,208},{21,1,1568},{0,54,2},{6,34,2},{0,33,13},{21,1,1568},{29,8,1568},{0,33,13},{0,27,1568},{29,8,1568},{0,27,1568},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,22,0},{0,22,0},{0,22,0},{0,13,1},{0,10,289},
{0,10,289},{3,63,2596},{3,53,934},{3,37,1277},{2,35,964},{0,61,5420},{0,44,2242},{0,35,141},{0,28,2402},{0,32,8131},{0,25,3956},{5,61,1569},{5,50,138},{6,36,74},{5,34,186},{17,4,5419},{0,44,2242},{0,35,141},{0,28,2402},{27,4,5419},{0,28,2402},{3,49,901},{3,49,901},{3,49,901},{3,32,900},{0,44,1152},{0,34,97},{0,34,97},{0,20,145},{0,23,2436},{0,19,989},{5,43,1},
{5,43,1},{5,43,1},{5,30,2},{13,0,1152},{0,34,97},{0,34,97},{0,20,145},{20,2,1152},{0,20,145},{23,0,1568},{1,57,2},{7,36,0},{0,36,1},{23,0,1568},{31,9,1568},{0,36,1},{0,29,1570},{31,9,1568},{0,29,1570},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{0,28,0},{0,28,0},{0,28,0},{0,17,1},{0,13,461},{0,13,461},{4,63,3146},{3,57,1262},{4,40,1731},
{3,37,1284},{1,63,5484},{0,46,2129},{0,38,53},{0,30,2243},{0,36,8615},{0,27,4070},{6,63,1569},{6,52,138},{7,38,74},{6,36,186},{18,6,5419},{0,46,2129},{0,38,53},{0,30,2243},{28,6,5419},{0,30,2243},{3,55,1252},{3,55,1252},{3,55,1252},{3,35,1253},{0,49,1152},{0,38,53},{0,38,53},{0,23,89},{0,25,2763},{0,21,1139},{6,45,1},{6,45,1},{6,45,1},{6,32,2},{14,2,1152},
{0,38,53},{0,38,53},{0,23,89},{24,0,1152},{0,23,89},{24,2,1568},{2,59,2},{8,38,1},{1,38,1},{24,2,1568},{27,17,1568},{1,38,1},{0,31,1570},{27,17,1568},{0,31,1570},{3,0,1252},{3,0,1252},{3,0,1252},{3,0,1252},{0,33,0},{0,33,0},{0,33,0},{0,20,0},{0,15,653},{0,15,653},{5,63,3716},{4,58,1599},{4,42,2134},{4,39,1627},{2,63,5655},{0,51,1983},{0,40,33},
{0,32,2133},{0,38,8925},{0,30,4044},{7,63,1587},{7,54,138},{8,40,80},{7,38,186},{21,1,5419},{0,51,1979},{0,40,29},{0,32,2129},{29,8,5419},{0,32,2129},{4,56,1587},{4,56,1587},{4,56,1587},{4,37,1586},{0,54,1156},{0,41,29},{0,41,29},{0,25,54},{0,27,2988},{0,23,1193},{7,47,1},{7,47,1},{7,47,1},{7,33,2},{16,0,1152},{0,41,25},{0,41,25},{0,25,50},{26,1,1152},
{0,25,50},{25,4,1568},{3,61,2},{9,40,1},{2,40,1},{25,4,1568},{28,19,1568},{2,40,1},{0,33,1568},{28,19,1568},{0,33,1568},{4,0,1586},{4,0,1586},{4,0,1586},{4,0,1586},{0,38,5},{0,38,5},{0,38,5},{0,23,4},{0,17,754},{0,17,754},{6,63,3890},{5,60,1599},{5,44,2134},{5,41,1627},{3,63,5748},{0,55,1975},{1,42,33},{0,33,2085},{0,42,8569},{0,32,3525},{9,63,1634},
{8,55,136},{9,42,80},{8,40,208},{22,3,5419},{0,55,1875},{1,42,29},{0,33,1985},{30,10,5419},{0,33,1985},{5,58,1587},{5,58,1587},{5,58,1587},{5,39,1586},{1,56,1156},{1,43,29},{1,43,29},{1,27,54},{0,31,2736},{0,25,907},{8,48,0},{8,48,0},{8,48,0},{8,35,1},{17,2,1152},{0,45,5},{0,45,5},{0,28,17},{27,3,1152},{0,28,17},{26,6,1568},{4,62,1},{10,42,1},
{3,42,1},{26,6,1568},{29,21,1568},{3,42,1},{0,35,1568},{29,21,1568},{0,35,1568},{5,0,1586},{5,0,1586},{5,0,1586},{5,0,1586},{1,40,5},{1,40,5},{1,40,5},{1,25,4},{0,21,610},{0,21,610},{7,63,4136},{6,63,1589},{7,46,2141},{6,44,1613},{4,63,5895},{2,55,1973},{2,45,43},{2,35,2100},{0,46,8199},{0,34,3051},{10,63,1667},{9,57,131},{10,45,74},{9,43,195},{24,2,5419},
{0,59,1772},{2,45,34},{0,36,1874},{27,17,5419},{0,36,1874},{6,61,1576},{6,61,1576},{6,61,1576},{6,41,1577},{2,59,1161},{2,46,26},{2,46,26},{2,30,49},{0,36,2505},{0,29,616},{9,51,1},{9,51,1},{9,51,1},{9,38,2},{19,1,1152},{0,49,2},{0,49,2},{0,30,4},{29,4,1152},{0,30,4},{28,5,1568},{6,63,13},{11,44,1},{4,44,1},{28,5,1568},{31,22,1568},{4,44,1},
{0,37,1570},{31,22,1568},{0,37,1570},{6,0,1576},{6,0,1576},{6,0,1576},{6,0,1576},{2,43,9},{2,43,9},{2,43,9},{2,27,10},{0,25,468},{0,25,468},{8,63,4436},{7,63,1625},{7,49,2161},{7,46,1613},{6,63,6079},{3,57,1973},{3,47,43},{3,37,2100},{0,49,7908},{0,37,2671},{11,63,1745},{10,59,131},{11,47,74},{10,45,195},{25,4,5419},{0,61,1699},{3,47,34},{0,38,1787},{28,19,5419},
{0,38,1787},{7,63,1576},{7,63,1576},{7,63,1576},{7,43,1577},{3,61,1161},{3,47,34},{3,47,34},{3,32,59},{0,38,2294},{0,31,422},{10,53,1},{10,53,1},{10,53,1},{10,40,2},{20,3,1152},{2,49,2},{2,49,2},{1,32,2},{30,6,1152},{1,32,2},{31,0,1568},{8,63,34},{12,46,1},{5,46,1},{31,0,1568},{28,29,1568},{5,46,1},{0,39,1570},{28,29,1568},{0,39,1570},{7,0,1576},
{7,0,1576},{7,0,1576},{7,0,1576},{3,45,9},{3,45,9},{3,45,9},{3,29,10},{0,29,356},{0,29,356},{9,63,4730},{8,63,1716},{8,50,2134},{8,47,1627},{7,63,6244},{3,61,1977},{4,48,33},{3,40,2100},{0,53,7620},{0,40,2343},{12,63,1832},{11,61,131},{12,48,80},{11,47,195},{26,6,5419},{1,63,1699},{4,48,29},{0,41,1714},{29,21,5419},{0,41,1714},{8,63,1595},{8,63,1595},{8,63,1595},
{8,45,1587},{4,62,1158},{4,49,29},{4,49,29},{4,33,54},{0,42,2098},{0,34,282},{11,55,1},{11,55,1},{11,55,1},{11,42,2},{21,5,1152},{3,51,2},{3,51,2},{2,34,2},{31,8,1152},{2,34,2},{30,9,1568},{9,63,68},{13,48,1},{6,48,1},{30,9,1568},{29,31,1568},{6,48,1},{0,41,1570},{29,31,1568},{0,41,1570},{8,0,1586},{8,0,1586},{8,0,1586},{8,0,1586},{4,47,4},
{4,47,4},{4,47,4},{4,31,5},{0,32,269},{0,32,269},{11,63,5010},{9,63,1878},{9,52,2134},{9,49,1627},{8,63,6508},{4,62,1965},{5,50,33},{4,42,2079},{0,55,7360},{0,42,2067},{14,63,1952},{12,63,149},{13,50,80},{12,48,208},{29,1,5419},{3,63,1787},{5,50,29},{0,43,1651},{30,23,5419},{0,43,1651},{9,63,1622},{9,63,1622},{9,63,1622},{9,47,1587},{5,63,1164},{5,51,29},{5,51,29},
{5,35,54},{0,46,1926},{0,36,186},{12,56,0},{12,56,0},{12,56,0},{12,44,1},{24,0,1152},{3,55,2},{3,55,2},{3,36,2},{31,11,1152},{3,36,2},{31,11,1568},{11,63,116},{14,50,1},{7,50,1},{31,11,1568},{29,34,1568},{7,50,1},{0,43,1570},{29,34,1568},{0,43,1570},{9,0,1586},{9,0,1586},{9,0,1586},{9,0,1586},{5,48,5},{5,48,5},{5,48,5},{5,33,4},{0,36,185},
{0,36,185},{12,63,5316},{11,63,2154},{11,54,2141},{10,52,1613},{10,63,6800},{6,62,1995},{6,53,43},{5,44,2085},{0,59,7068},{0,44,1845},{15,63,2081},{13,63,206},{14,53,74},{13,51,195},{31,0,5419},{5,63,1937},{6,53,34},{0,45,1601},{28,29,5419},{0,45,1601},{10,63,1676},{10,63,1676},{10,63,1676},{10,49,1577},{7,63,1179},{6,54,26},{6,54,26},{6,38,49},{0,49,1764},{0,40,149},{13,59,1},
{13,59,1},{13,59,1},{13,46,1},{24,6,1152},{4,57,1},{4,57,1},{4,38,4},{29,17,1152},{4,38,4},{30,20,1568},{13,63,205},{15,52,1},{8,52,1},{30,20,1568},{31,35,1568},{8,52,1},{0,45,1576},{31,35,1568},{0,45,1576},{10,0,1576},{10,0,1576},{10,0,1576},{10,0,1576},{6,51,9},{6,51,9},{6,51,9},{6,35,10},{0,40,113},{0,40,113},{13,63,5658},{12,63,2435},{12,56,2148},
{11,54,1613},{11,63,7055},{7,63,2090},{7,55,43},{6,46,2085},{0,63,6820},{0,47,1701},{16,63,2216},{14,63,334},{15,55,74},{14,53,195},{30,9,5419},{7,63,2081},{7,55,34},{0,47,1580},{29,31,5419},{0,47,1580},{11,63,1745},{11,63,1745},{11,63,1745},{11,51,1577},{8,63,1220},{7,56,26},{7,56,26},{7,40,49},{0,53,1624},{0,42,145},{14,61,1},{14,61,1},{14,61,1},{14,48,2},{27,1,1152},
{5,59,1},{5,59,1},{5,40,4},{30,19,1152},{5,40,4},{31,22,1568},{15,63,289},{16,54,1},{9,54,1},{31,22,1568},{28,42,1568},{9,54,1},{0,47,1576},{28,42,1568},{0,47,1576},{11,0,1576},{11,0,1576},{11,0,1576},{11,0,1576},{7,53,9},{7,53,9},{7,53,9},{7,37,10},{0,44,61},{0,44,61},{14,63,6036},{13,63,2751},{12,58,2119},{12,55,1627},{12,63,7316},{8,63,2228},{8,57,31},
{7,48,2100},{0,63,6884},{0,49,1606},{17,63,2402},{16,63,500},{16,57,82},{15,55,195},{31,11,5419},{9,63,2195},{8,57,27},{0,49,1570},{29,34,5419},{0,49,1570},{12,63,1811},{12,63,1811},{12,63,1811},{12,53,1587},{9,63,1286},{8,57,22},{8,57,22},{8,41,56},{0,57,1508},{1,44,145},{15,63,1},{15,63,1},{15,63,1},{15,50,2},{28,3,1152},{6,61,1},{6,61,1},{6,42,4},{31,21,1152},
{6,42,4},{31,27,1568},{17,63,410},{17,56,1},{10,56,1},{31,27,1568},{29,44,1568},{10,56,1},{0,49,1570},{29,44,1568},{0,49,1570},{12,0,1586},{12,0,1586},{12,0,1586},{12,0,1586},{8,55,4},{8,55,4},{8,55,4},{8,39,5},{0,48,34},{0,48,34},{15,63,6450},{14,63,3135},{13,60,2119},{13,57,1627},{13,63,7661},{10,63,2448},{9,59,31},{8,50,2079},{2,63,7196},{0,51,1580},{19,63,2594},
{17,63,698},{16,59,73},{16,57,194},{31,16,5419},{11,63,2379},{9,59,27},{1,51,1570},{30,36,5419},{1,51,1570},{13,63,1910},{13,63,1910},{13,63,1910},{13,55,1587},{10,63,1388},{9,59,22},{9,59,22},{9,43,56},{0,61,1416},{2,46,145},{16,63,4},{16,63,4},{16,63,4},{16,52,1},{29,5,1152},{7,63,1},{7,63,1},{7,44,4},{31,24,1152},{7,44,4},{31,32,1568},{19,63,530},{18,58,1},
{11,58,1},{31,32,1568},{30,46,1568},{11,58,1},{0,51,1570},{30,46,1568},{0,51,1570},{13,0,1586},{13,0,1586},{13,0,1586},{13,0,1586},{9,57,4},{9,57,4},{9,57,4},{9,41,5},{0,51,10},{0,51,10},{16,63,6900},{15,63,3657},{15,62,2128},{14,60,1616},{15,63,8023},{11,63,2845},{10,61,33},{9,52,2085},{5,63,7651},{1,54,1584},{20,63,2866},{18,63,1011},{18,61,69},{17,59,181},{31,22,5419},
{13,63,2657},{10,61,24},{2,53,1577},{28,42,5419},{2,53,1577},{15,63,2057},{15,63,2057},{15,63,2057},{14,58,1577},{12,63,1476},{10,61,29},{10,61,29},{10,46,54},{0,63,1324},{4,47,137},{17,63,37},{17,63,37},{17,63,37},{17,54,1},{31,4,1152},{9,63,4},{9,63,4},{7,47,2},{30,29,1152},{7,47,2},{31,38,1568},{21,63,637},{19,60,5},{12,60,4},{31,38,1568},{31,48,1568},{12,60,4},
{0,53,1576},{31,48,1568},{0,53,1576},{14,0,1576},{14,0,1576},{14,0,1576},{14,0,1576},{10,59,10},{10,59,10},{10,59,10},{10,44,10},{0,56,0},{0,56,0},{18,63,7332},{16,63,4196},{16,63,2175},{15,62,1616},{16,63,8348},{13,63,3285},{11,63,33},{10,54,2085},{8,63,8004},{2,56,1584},{21,63,3112},{20,63,1281},{19,63,69},{18,61,181},{31,27,5419},{15,63,2897},{11,63,24},{3,55,1577},{29,44,5419},
{3,55,1577},{16,63,2171},{16,63,2171},{16,63,2171},{15,60,1577},{13,63,1590},{11,63,29},{11,63,29},{11,48,49},{2,63,1424},{4,50,145},{19,63,65},{19,63,65},{19,63,65},{18,56,1},{30,13,1152},{11,63,20},{11,63,20},{9,48,4},{31,31,1152},{9,48,4},{30,47,1568},{23,63,785},{20,62,4},{13,62,4},{30,47,1568},{31,51,1568},{13,62,4},{0,55,1576},{31,51,1568},{0,55,1576},{15,0,1576},
{15,0,1576},{15,0,1576},{15,0,1576},{11,61,10},{11,61,10},{11,61,10},{11,46,10},{1,58,0},{1,58,0},{19,63,7014},{17,63,4230},{17,63,2294},{16,63,1595},{17,63,7865},{14,63,3114},{12,63,85},{12,55,1713},{8,63,7436},{3,57,1268},{22,63,2794},{21,63,1221},{20,63,113},{19,61,114},{31,31,4803},{17,63,2648},{13,63,61},{4,57,1253},{31,44,4803},{4,57,1253},{17,63,2294},{17,63,2294},{17,63,2294},
{16,62,1587},{14,63,1740},{12,63,85},{12,63,85},{12,49,56},{3,63,1571},{5,52,145},{20,63,113},{20,63,113},{20,63,113},{19,58,1},{31,15,1152},{13,63,61},{13,63,61},{10,50,4},{31,34,1152},{10,50,4},{31,47,1250},{24,63,680},{21,63,4},{15,63,0},{31,47,1250},{31,53,1250},{15,63,0},{0,57,1252},{31,53,1250},{0,57,1252},{16,0,1586},{16,0,1586},{16,0,1586},{16,0,1586},{12,63,4},
{12,63,4},{12,63,4},{12,47,8},{2,60,0},{2,60,0},{19,63,6534},{18,63,4116},{18,63,2435},{17,63,1590},{18,63,7164},{15,63,2809},{14,63,161},{12,57,1256},{10,63,6748},{5,58,909},{23,63,2340},{22,63,1065},{21,63,164},{20,62,41},{31,34,4056},{18,63,2211},{15,63,113},{6,58,884},{31,46,4056},{6,58,884},{18,63,2435},{18,63,2435},{18,63,2435},{17,63,1590},{16,63,1923},{14,63,161},{14,63,161},
{13,51,56},{6,63,1729},{6,54,145},{21,63,164},{21,63,164},{21,63,164},{20,60,0},{31,20,1152},{15,63,113},{15,63,113},{11,52,4},{31,37,1152},{11,52,4},{31,49,882},{25,63,482},{23,63,0},{18,63,1},{31,49,882},{30,56,882},{18,63,1},{0,58,884},{30,56,882},{0,58,884},{17,0,1586},{17,0,1586},{17,0,1586},{17,0,1586},{13,63,13},{13,63,13},{13,63,13},{13,49,5},{3,62,0},
{3,62,0},{21,63,6091},{20,63,4022},{19,63,2609},{18,63,1640},{19,63,6490},{16,63,2617},{15,63,318},{14,58,834},{11,63,6135},{6,59,598},{24,63,1881},{23,63,931},{22,63,245},{21,63,5},{31,38,3318},{20,63,1733},{17,63,202},{8,59,545},{31,48,3318},{8,59,545},{19,63,2609},{19,63,2609},{19,63,2609},{18,63,1640},{17,63,2086},{15,63,318},{15,63,318},{14,54,54},{8,63,1868},{8,55,137},{22,63,245},
{22,63,245},{22,63,245},{21,62,2},{31,26,1152},{17,63,202},{17,63,202},{11,55,2},{30,42,1152},{11,55,2},{31,52,545},{26,63,305},{25,63,4},{20,63,1},{31,52,545},{30,58,545},{20,63,1},{0,59,545},{30,58,545},{0,59,545},{18,0,1576},{18,0,1576},{18,0,1576},{18,0,1576},{15,63,29},{15,63,29},{15,63,29},{14,52,10},{5,62,5},{5,62,5},{22,63,5719},{21,63,3980},{20,63,2834},
{19,63,1745},{20,63,6050},{18,63,2457},{16,63,536},{15,59,515},{14,63,5674},{8,60,385},{25,63,1573},{24,63,861},{23,63,338},{22,63,10},{30,45,2753},{21,63,1438},{19,63,290},{10,60,313},{31,50,2753},{10,60,313},{20,63,2834},{20,63,2834},{20,63,2834},{19,63,1745},{18,63,2284},{16,63,536},{16,63,536},{15,56,54},{10,63,2064},{9,57,137},{23,63,338},{23,63,338},{23,63,338},{22,63,10},{31,31,1152},
{19,63,290},{19,63,290},{12,57,2},{31,44,1152},{12,57,2},{31,55,313},{28,63,181},{26,63,1},{23,63,0},{31,55,313},{31,58,313},{23,63,0},{0,60,313},{31,58,313},{0,60,313},{19,0,1576},{19,0,1576},{19,0,1576},{19,0,1576},{16,63,52},{16,63,52},{16,63,52},{15,54,10},{7,62,25},{7,62,25},{22,63,5399},{22,63,3974},{21,63,3035},{20,63,1875},{21,63,5619},{19,63,2378},{18,63,776},
{16,60,294},{15,63,5258},{9,61,225},{26,63,1333},{25,63,813},{24,63,425},{23,63,65},{29,52,2273},{23,63,1218},{20,63,353},{12,61,146},{28,56,2273},{12,61,146},{21,63,3035},{21,63,3035},{21,63,3035},{20,63,1875},{19,63,2518},{18,63,776},{18,63,776},{16,58,49},{11,63,2323},{10,59,137},{24,63,425},{24,63,425},{24,63,425},{23,63,65},{31,36,1152},{20,63,353},{20,63,353},{13,59,2},{31,47,1152},
{13,59,2},{31,57,145},{28,63,85},{28,63,4},{26,63,1},{31,57,145},{31,60,145},{26,63,1},{0,61,145},{31,60,145},{0,61,145},{20,0,1586},{20,0,1586},{20,0,1586},{20,0,1586},{17,63,85},{17,63,85},{17,63,85},{16,56,5},{8,63,40},{8,63,40},{23,63,5143},{23,63,4004},{22,63,3254},{21,63,2070},{22,63,5274},{20,63,2310},{19,63,1062},{17,61,133},{17,63,5011},{10,63,161},{27,63,1161},
{26,63,801},{26,63,545},{25,63,164},{30,52,1878},{24,63,1094},{22,63,461},{13,62,42},{28,58,1878},{13,62,42},{22,63,3254},{22,63,3254},{22,63,3254},{21,63,2070},{20,63,2833},{19,63,1062},{19,63,1062},{17,60,49},{14,63,2577},{11,61,137},{26,63,545},{26,63,545},{26,63,545},{25,63,164},{30,45,1152},{22,63,461},{22,63,461},{14,61,2},{31,50,1152},{14,61,2},{31,60,41},{30,63,25},{29,63,1},
{28,63,0},{31,60,41},{31,61,41},{28,63,0},{0,62,41},{31,61,41},{0,62,41},{21,0,1586},{21,0,1586},{21,0,1586},{21,0,1586},{18,63,136},{18,63,136},{18,63,136},{17,58,5},{10,63,80},{10,63,80},{24,63,4882},{24,63,4070},{23,63,3532},{22,63,2360},{24,63,4945},{21,63,2422},{20,63,1433},{18,63,58},{20,63,4717},{12,63,157},{28,63,1026},{27,63,835},{27,63,666},{26,63,305},{30,56,1536},
{26,63,996},{24,63,628},{16,63,1},{30,58,1536},{16,63,1},{23,63,3532},{23,63,3532},{23,63,3532},{22,63,2360},{22,63,3110},{20,63,1433},{20,63,1433},{18,62,50},{16,63,2939},{12,63,157},{27,63,666},{27,63,666},{27,63,666},{26,63,305},{29,54,1152},{24,63,628},{24,63,628},{16,63,1},{29,56,1152},{16,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},
{0,63,0},{31,63,0},{0,63,0},{22,0,1576},{22,0,1576},{22,0,1576},{22,0,1576},{19,63,221},{19,63,221},{19,63,221},{18,60,9},{12,63,157},{12,63,157},{25,63,4212},{24,63,3590},{24,63,3106},{23,63,2201},{24,63,4129},{22,63,2101},{21,63,1301},{19,63,13},{20,63,3869},{14,63,233},{28,63,706},{28,63,562},{28,63,481},{27,63,218},{30,58,1067},{27,63,699},{25,63,442},{18,63,1},{31,58,1067},
{18,63,1},{24,63,3106},{24,63,3106},{24,63,3106},{23,63,2201},{23,63,2668},{21,63,1301},{21,63,1301},{19,63,13},{18,63,2523},{14,63,233},{28,63,481},{28,63,481},{28,63,481},{27,63,218},{31,50,800},{25,63,442},{25,63,442},{18,63,1},{31,55,800},{18,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{23,0,1576},
{23,0,1576},{23,0,1576},{23,0,1576},{20,63,325},{20,63,325},{20,63,325},{19,62,9},{14,63,233},{14,63,233},{26,63,3642},{25,63,3132},{25,63,2771},{24,63,2070},{25,63,3444},{23,63,1834},{22,63,1205},{20,63,8},{21,63,3219},{16,63,346},{29,63,456},{28,63,370},{28,63,289},{28,63,145},{31,56,683},{28,63,451},{27,63,290},{21,63,1},{30,60,683},{21,63,1},{25,63,2771},{25,63,2771},{25,63,2771},
{24,63,2070},{24,63,2273},{22,63,1205},{22,63,1205},{20,63,8},{20,63,2121},{16,63,346},{28,63,289},{28,63,289},{28,63,289},{28,63,145},{30,56,512},{27,63,290},{27,63,290},{21,63,1},{30,58,512},{21,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{24,0,1586},{24,0,1586},{24,0,1586},{24,0,1586},{22,63,421},
{22,63,421},{22,63,421},{20,63,8},{16,63,346},{16,63,346},{26,63,3162},{26,63,2742},{26,63,2486},{25,63,1947},{26,63,2877},{24,63,1641},{23,63,1145},{22,63,52},{22,63,2673},{18,63,458},{29,63,264},{29,63,200},{29,63,164},{28,63,81},{31,58,384},{28,63,243},{28,63,162},{23,63,1},{31,60,384},{23,63,1},{26,63,2486},{26,63,2486},{26,63,2486},{25,63,1947},{24,63,1969},{23,63,1145},{23,63,1145},
{22,63,52},{20,63,1785},{18,63,458},{29,63,164},{29,63,164},{29,63,164},{28,63,81},{31,55,288},{28,63,162},{28,63,162},{23,63,1},{28,62,288},{23,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{25,0,1586},{25,0,1586},{25,0,1586},{25,0,1586},{23,63,520},{23,63,520},{23,63,520},{22,63,52},{18,63,458},
{18,63,458},{0,46,2665},{0,36,666},{0,26,37},{0,22,773},{0,31,5885},{0,23,4085},{0,21,1802},{0,15,4214},{0,17,6543},{0,13,4662},{0,46,2665},{0,36,666},{0,26,37},{0,22,773},{9,0,5885},{0,23,4085},{0,21,1802},{0,15,4214},{15,0,5885},{0,15,4214},{0,22,0},{0,22,0},{0,22,0},{0,13,1},{0,11,545},{0,10,289},{0,10,289},{0,6,306},{0,6,630},{0,5,362},{0,22,0},
{0,22,0},{0,22,0},{0,13,1},{3,1,545},{0,10,289},{0,10,289},{0,6,306},{5,1,545},{0,6,306},{13,2,2665},{0,36,666},{0,26,37},{0,22,773},{13,2,2665},{23,0,2665},{0,22,773},{0,17,2665},{23,0,2665},{0,17,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,51,2665},{0,40,530},{0,28,2},
{0,24,650},{0,34,6670},{0,27,4445},{0,23,1886},{0,16,4577},{0,19,7493},{0,15,5130},{0,51,2665},{0,40,530},{0,28,2},{0,24,650},{10,1,6669},{0,27,4445},{0,23,1886},{0,16,4577},{17,0,6669},{0,16,4577},{0,27,1},{0,27,1},{0,27,1},{0,16,1},{0,14,841},{0,13,442},{0,13,442},{0,7,458},{0,7,965},{0,7,558},{0,27,1},{0,27,1},{0,27,1},{0,16,1},{4,0,841},
{0,13,442},{0,13,442},{0,7,458},{7,0,841},{0,7,458},{15,1,2665},{0,40,530},{0,28,2},{0,24,650},{15,1,2665},{25,0,2665},{0,24,650},{0,19,2665},{25,0,2665},{0,19,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,56,2665},{0,44,410},{0,30,17},{0,28,522},{0,38,7538},{0,29,4826},{0,25,2006},
{0,18,5002},{0,21,8547},{0,16,5681},{0,56,2665},{0,44,410},{0,30,17},{0,28,522},{11,1,7538},{0,29,4826},{0,25,2006},{0,18,5002},{17,2,7538},{0,18,5002},{0,32,1},{0,32,1},{0,32,1},{0,19,1},{0,16,1201},{0,15,628},{0,15,628},{0,9,653},{0,9,1382},{0,9,822},{0,32,1},{0,32,1},{0,32,1},{0,19,1},{5,0,1201},{0,15,628},{0,15,628},{0,9,653},{8,0,1201},
{0,9,653},{16,2,2665},{0,44,410},{1,30,2},{0,28,522},{16,2,2665},{28,0,2665},{0,28,522},{0,21,2665},{28,0,2665},{0,21,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,62,2665},{0,49,325},{0,33,65},{0,30,405},{0,41,8493},{0,31,5261},{0,27,2162},{0,20,5477},{0,23,9705},{0,18,6259},{0,62,2665},
{0,49,325},{0,33,65},{0,30,405},{11,4,8493},{0,31,5261},{0,27,2162},{0,20,5477},{17,4,8493},{0,20,5477},{0,38,0},{0,38,0},{0,38,0},{0,23,1},{0,19,1625},{0,17,821},{0,17,821},{0,11,898},{0,10,1874},{0,9,1094},{0,38,0},{0,38,0},{0,38,0},{0,23,1},{5,2,1625},{0,17,821},{0,17,821},{0,11,898},{8,2,1625},{0,11,898},{18,1,2665},{0,49,325},{2,32,1},
{0,30,405},{18,1,2665},{29,2,2665},{0,30,405},{0,23,2665},{29,2,2665},{0,23,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,63,2777},{0,51,221},{0,35,178},{0,32,306},{0,45,9669},{0,34,5810},{0,29,2382},{0,22,6054},{0,25,11123},{0,20,6989},{1,63,2741},{0,51,221},{1,35,137},{0,32,306},{13,1,9669},
{0,34,5810},{0,29,2382},{0,22,6054},{19,4,9669},{0,22,6054},{0,44,0},{0,44,0},{0,44,0},{0,26,1},{0,22,2178},{0,19,1108},{0,19,1108},{0,11,1213},{0,11,2506},{0,11,1469},{0,44,0},{0,44,0},{0,44,0},{0,26,1},{6,2,2178},{0,19,1108},{0,19,1108},{0,11,1213},{11,0,2178},{0,11,1213},{20,0,2665},{0,51,221},{3,34,1},{0,32,306},{20,0,2665},{31,3,2665},{0,32,306},
{0,25,2669},{31,3,2665},{0,25,2669},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,63,2949},{0,55,209},{1,37,242},{0,35,285},{0,50,9669},{0,38,5486},{0,32,1938},{0,24,5733},{0,27,11477},{0,22,6887},{2,63,2789},{0,55,209},{2,37,137},{0,35,285},{15,0,9669},{0,38,5486},{0,32,1938},{0,24,5733},{24,1,9669},
{0,24,5733},{1,46,64},{1,46,64},{1,46,64},{1,28,65},{0,27,2180},{0,23,932},{0,23,932},{0,15,1037},{0,14,2691},{0,13,1421},{1,46,0},{1,46,0},{1,46,0},{1,28,1},{8,0,2178},{0,23,932},{0,23,932},{0,15,1037},{11,3,2178},{0,15,1037},{21,2,2665},{0,55,145},{4,36,2},{0,35,221},{21,2,2665},{31,6,2665},{0,35,221},{0,27,2669},{31,6,2665},{0,27,2669},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,5,1},{0,5,1},{0,5,1},{0,3,1},{0,3,17},{0,3,17},{2,63,3285},{1,57,273},{2,39,434},{1,37,349},{0,56,9670},{0,42,5186},{0,34,1530},{0,26,5430},{0,29,11903},{0,24,6821},{3,63,2873},{1,57,209},{3,39,137},{1,37,285},{16,1,9669},{0,42,5186},{0,34,1530},{0,26,5430},{25,3,9669},{0,26,5430},{1,51,128},{1,51,128},{1,51,128},
{1,31,129},{0,32,2180},{0,27,772},{0,27,772},{0,16,865},{0,17,2875},{0,15,1409},{2,47,1},{2,47,1},{2,47,1},{2,30,1},{9,2,2178},{0,27,772},{0,27,772},{0,16,865},{16,0,2178},{0,16,865},{23,0,2665},{0,59,85},{5,38,2},{0,37,146},{23,0,2665},{31,9,2665},{0,37,146},{0,29,2669},{31,9,2665},{0,29,2669},{1,0,128},{1,0,128},{1,0,128},{1,0,128},{0,11,0},
{0,11,0},{0,11,0},{0,6,1},{0,5,65},{0,5,65},{3,63,3785},{1,61,405},{2,41,653},{1,39,466},{0,61,9669},{0,44,4909},{0,36,1190},{0,28,5145},{0,32,12358},{0,26,6791},{4,63,2966},{2,59,209},{4,41,154},{2,39,285},{18,0,9669},{0,44,4909},{0,36,1190},{0,28,5145},{30,0,9669},{0,28,5145},{2,53,320},{2,53,320},{2,53,320},{2,33,321},{0,38,2178},{0,31,628},{0,31,628},
{0,18,730},{0,19,3124},{0,17,1427},{3,49,1},{3,49,1},{3,49,1},{3,32,0},{11,1,2178},{0,31,628},{0,31,628},{0,18,730},{17,2,2178},{0,18,730},{24,2,2665},{0,63,41},{6,40,2},{0,39,89},{24,2,2665},{30,14,2665},{0,39,89},{0,31,2669},{30,14,2665},{0,31,2669},{1,0,320},{1,0,320},{1,0,320},{1,0,320},{0,16,0},{0,16,0},{0,16,0},{0,10,1},{0,7,149},
{0,7,149},{4,63,4514},{2,63,630},{3,45,1013},{2,41,681},{1,63,9738},{0,49,4610},{0,40,833},{0,30,4849},{0,36,12905},{0,29,6798},{6,63,3101},{4,60,208},{5,43,149},{3,41,286},{18,6,9669},{0,49,4610},{0,40,833},{0,30,4849},{28,6,9669},{0,30,4849},{2,59,545},{2,59,545},{2,59,545},{2,37,545},{0,44,2178},{0,34,493},{0,34,493},{0,22,584},{0,23,3462},{0,19,1493},{4,52,0},
{4,52,0},{4,52,0},{4,34,1},{13,0,2178},{0,34,493},{0,34,493},{0,22,584},{20,2,2178},{0,22,584},{26,1,2665},{2,63,85},{7,42,4},{0,41,52},{26,1,2665},{31,16,2665},{0,41,52},{0,33,2669},{31,16,2665},{0,33,2669},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,22,0},{0,22,0},{0,22,0},{0,13,1},{0,10,289},{0,10,289},{4,63,5330},{3,63,1018},{3,47,1406},
{2,43,966},{2,63,9981},{0,53,4366},{0,42,585},{0,33,4609},{0,38,13451},{0,31,6834},{7,63,3233},{5,62,208},{6,45,149},{4,42,285},{21,1,9669},{0,53,4366},{0,42,585},{0,33,4609},{29,8,9669},{0,33,4609},{3,61,865},{3,61,865},{3,61,865},{3,39,865},{0,49,2178},{0,38,377},{0,38,377},{0,24,461},{0,25,3789},{0,21,1589},{5,54,0},{5,54,0},{5,54,0},{5,36,1},{14,2,2178},
{0,38,377},{0,38,377},{0,24,461},{24,0,2178},{0,24,461},{28,0,2665},{3,63,153},{8,44,5},{0,44,20},{28,0,2665},{31,19,2665},{0,44,20},{0,35,2669},{31,19,2665},{0,35,2669},{3,0,865},{3,0,865},{3,0,865},{3,0,865},{0,27,1},{0,27,1},{0,27,1},{0,16,1},{0,13,442},{0,13,442},{5,63,6270},{3,63,1626},{4,49,1866},{3,45,1286},{2,63,10381},{0,55,4133},{0,45,401},
{0,35,4366},{0,42,14023},{0,32,6917},{8,63,3434},{6,63,242},{7,47,149},{5,44,285},{22,3,9669},{0,55,4133},{0,45,401},{0,35,4366},{30,10,9669},{0,35,4366},{3,63,1226},{3,63,1226},{3,63,1226},{3,42,1201},{0,54,2178},{0,42,277},{0,42,277},{0,26,356},{0,27,4170},{0,23,1721},{6,56,0},{6,56,0},{6,56,0},{6,38,1},{16,0,2178},{0,42,277},{0,42,277},{0,26,356},{26,1,2178},
{0,26,356},{29,2,2665},{5,63,232},{9,46,5},{0,46,5},{29,2,2665},{31,22,2665},{0,46,5},{0,37,2669},{31,22,2665},{0,37,2669},{3,0,1201},{3,0,1201},{3,0,1201},{3,0,1201},{0,32,1},{0,32,1},{0,32,1},{0,19,1},{0,15,628},{0,15,628},{6,63,7374},{4,63,2339},{4,51,2411},{3,48,1715},{3,63,10950},{0,59,3909},{0,47,257},{0,37,4141},{0,44,14641},{0,34,7031},{9,63,3638},
{7,63,320},{8,49,154},{6,46,285},{24,1,9669},{0,59,3909},{0,47,257},{0,37,4141},{31,12,9669},{0,37,4141},{4,63,1714},{4,63,1714},{4,63,1714},{4,44,1665},{0,59,2180},{0,46,193},{0,46,193},{0,28,269},{0,31,4582},{0,25,1889},{7,58,0},{7,58,0},{7,58,0},{7,40,1},{17,2,2178},{0,46,193},{0,46,193},{0,28,269},{27,3,2178},{0,28,269},{31,0,2665},{8,63,313},{10,48,2},
{1,48,2},{31,0,2665},{30,27,2665},{1,48,2},{0,39,2669},{30,27,2665},{0,39,2669},{3,0,1665},{3,0,1665},{3,0,1665},{3,0,1665},{0,38,0},{0,38,0},{0,38,0},{0,23,1},{0,17,821},{0,17,821},{7,63,8807},{5,63,3388},{5,53,3082},{4,49,2230},{4,63,11766},{0,63,3686},{0,51,134},{0,39,3909},{0,46,15438},{0,37,7214},{11,63,3853},{8,63,457},{9,51,149},{7,49,286},{25,4,9669},
{0,63,3686},{0,51,134},{0,39,3909},{28,19,9669},{0,39,3909},{5,63,2427},{5,63,2427},{5,63,2427},{4,47,2179},{0,63,2210},{0,49,128},{0,49,128},{0,31,193},{0,34,5117},{0,29,2123},{8,60,0},{8,60,0},{8,60,0},{8,42,1},{19,1,2178},{0,49,128},{0,49,128},{0,31,193},{29,4,2178},{0,31,193},{31,6,2665},{9,63,405},{11,50,4},{2,50,4},{31,6,2665},{31,29,2665},{2,50,4},
{0,42,2669},{31,29,2665},{0,42,2669},{4,0,2178},{4,0,2178},{4,0,2178},{4,0,2178},{0,44,0},{0,44,0},{0,44,0},{0,26,1},{0,19,1108},{0,19,1108},{7,63,10230},{6,63,4421},{6,55,3705},{4,52,2725},{5,63,12634},{0,63,3719},{0,53,77},{0,41,3727},{0,51,15978},{0,39,7289},{12,63,4050},{10,63,629},{10,53,149},{8,50,285},{26,6,9669},{0,63,3718},{0,53,76},{0,41,3726},{29,21,9669},
{0,41,3726},{5,63,3050},{5,63,3050},{5,63,3050},{5,49,2690},{1,63,2325},{0,53,73},{0,53,73},{0,33,118},{0,36,5499},{0,31,2266},{9,62,0},{9,62,0},{9,62,0},{9,44,1},{20,3,2178},{0,53,72},{0,53,72},{0,33,117},{30,6,2178},{0,33,117},{31,12,2665},{11,63,521},{12,52,5},{3,52,4},{31,12,2665},{31,32,2665},{3,52,4},{0,44,2669},{31,32,2665},{0,44,2669},{5,0,2689},
{5,0,2689},{5,0,2689},{5,0,2689},{0,49,1},{0,49,1},{0,49,1},{0,29,2},{0,21,1341},{0,21,1341},{9,63,10738},{7,63,4899},{7,57,3705},{5,54,2725},{6,63,13045},{1,63,4002},{1,55,77},{0,43,3642},{0,53,15510},{0,42,6577},{13,63,4302},{11,63,857},{11,55,149},{9,52,285},{29,1,9669},{2,63,3954},{1,55,76},{0,43,3561},{30,23,9669},{0,43,3561},{6,63,3173},{6,63,3173},{6,63,3173},
{6,51,2690},{2,63,2427},{1,55,73},{1,55,73},{1,35,118},{0,40,5171},{0,32,1846},{10,63,4},{10,63,4},{10,63,4},{10,46,1},{21,5,2178},{0,57,32},{0,57,32},{0,35,72},{31,8,2178},{0,35,72},{31,17,2665},{13,63,680},{13,54,5},{3,55,4},{31,17,2665},{31,35,2665},{3,55,4},{0,46,2669},{31,35,2665},{0,46,2669},{6,0,2689},{6,0,2689},{6,0,2689},{6,0,2689},{1,51,1},
{1,51,1},{1,51,1},{1,31,2},{0,25,1145},{0,25,1145},{10,63,11278},{8,63,5402},{8,58,3742},{6,56,2725},{7,63,13510},{3,63,4314},{2,57,77},{1,45,3642},{0,57,15046},{0,44,5927},{14,63,4590},{12,63,1171},{12,57,149},{10,54,285},{30,3,9669},{3,63,4265},{2,57,76},{0,45,3414},{31,25,9669},{0,45,3414},{7,63,3314},{7,63,3314},{7,63,3314},{7,53,2690},{4,63,2532},{2,57,73},{2,57,73},
{2,37,118},{0,44,4867},{0,36,1470},{11,63,25},{11,63,25},{11,63,25},{11,48,1},{24,0,2178},{0,61,8},{0,61,8},{0,38,40},{31,11,2178},{0,38,40},{31,22,2665},{15,63,832},{14,56,5},{4,57,4},{31,22,2665},{30,40,2665},{4,57,4},{0,47,2677},{30,40,2665},{0,47,2677},{7,0,2689},{7,0,2689},{7,0,2689},{7,0,2689},{2,53,1},{2,53,1},{2,53,1},{2,33,2},{0,29,965},
{0,29,965},{11,63,11942},{10,63,6090},{9,62,3723},{8,58,2734},{9,63,14053},{4,63,4863},{3,59,79},{2,48,3633},{0,61,14558},{0,46,5283},{16,63,4858},{14,63,1556},{13,60,138},{11,57,299},{30,9,9669},{6,63,4594},{3,59,75},{0,48,3233},{29,31,9669},{0,48,3233},{9,63,3505},{9,63,3505},{9,63,3505},{8,55,2690},{5,63,2645},{3,61,72},{3,61,72},{3,39,117},{0,46,4539},{0,38,1091},{12,63,64},
{12,63,64},{12,63,64},{12,50,1},{24,6,2178},{1,63,10},{1,63,10},{0,40,13},{29,17,2178},{0,40,13},{31,28,2665},{17,63,1053},{15,59,2},{5,59,2},{31,28,2665},{31,42,2665},{5,59,2},{0,50,2669},{31,42,2665},{0,50,2669},{8,0,2689},{8,0,2689},{8,0,2689},{8,0,2689},{3,55,5},{3,55,5},{3,55,5},{3,36,5},{0,34,794},{0,34,794},{12,63,12466},{11,63,6718},{10,62,3738},
{8,60,2723},{10,63,14554},{6,63,5363},{4,61,87},{3,50,3633},{0,63,14190},{0,49,4774},{17,63,5158},{15,63,1938},{14,62,138},{12,59,282},{31,11,9669},{8,63,4806},{4,61,86},{0,50,3110},{29,34,9669},{0,50,3110},{10,63,3658},{10,63,3658},{10,63,3658},{9,57,2690},{6,63,2795},{4,62,66},{4,62,66},{4,41,131},{0,51,4269},{0,40,833},{14,63,100},{14,63,100},{14,63,100},{13,52,1},{27,1,2178},
{3,63,34},{3,63,34},{0,43,2},{30,19,2178},{0,43,2},{31,33,2665},{19,63,1241},{16,61,5},{6,61,2},{31,33,2665},{31,45,2665},{6,61,2},{0,52,2669},{31,45,2665},{0,52,2669},{9,0,2689},{9,0,2689},{9,0,2689},{9,0,2689},{4,57,1},{4,57,1},{4,57,1},{4,37,2},{0,38,650},{0,38,650},{14,63,13094},{12,63,7445},{11,63,3830},{9,62,2723},{12,63,14998},{8,63,5926},{5,63,87},
{4,51,3642},{0,63,14254},{0,51,4306},{18,63,5494},{16,63,2414},{15,63,146},{13,61,282},{31,16,9669},{10,63,5138},{5,63,86},{0,52,3005},{30,36,9669},{0,52,3005},{11,63,3829},{11,63,3829},{11,63,3829},{10,59,2690},{7,63,2981},{5,63,86},{5,63,86},{5,43,131},{0,53,4014},{0,44,601},{15,63,145},{15,63,145},{15,63,145},{14,54,1},{28,3,2178},{5,63,85},{5,63,85},{1,45,2},{31,21,2178},
{1,45,2},{31,38,2665},{20,63,1378},{17,63,5},{7,63,2},{31,38,2665},{31,48,2665},{7,63,2},{0,54,2669},{31,48,2665},{0,54,2669},{10,0,2689},{10,0,2689},{10,0,2689},{10,0,2689},{5,59,1},{5,59,1},{5,59,1},{5,39,2},{0,40,520},{0,40,520},{15,63,12507},{13,63,7370},{12,63,4001},{11,63,2705},{13,63,14148},{8,63,5491},{6,63,154},{5,53,3033},{1,63,13399},{0,53,3297},{19,63,4949},
{17,63,2261},{16,63,202},{15,61,185},{31,20,8712},{11,63,4644},{7,63,145},{0,54,2365},{31,37,8712},{0,54,2365},{12,63,4001},{12,63,4001},{12,63,4001},{11,61,2690},{9,63,3204},{6,63,154},{6,63,154},{6,45,131},{0,57,3762},{0,46,419},{16,63,202},{16,63,202},{16,63,202},{15,56,1},{29,5,2178},{7,63,145},{7,63,145},{2,47,2},{31,24,2178},{2,47,2},{30,45,2178},{22,63,1145},{18,63,1},
{10,63,1},{30,45,2178},{31,50,2178},{10,63,1},{0,55,2180},{31,50,2178},{0,55,2180},{11,0,2689},{11,0,2689},{11,0,2689},{11,0,2689},{6,61,1},{6,61,1},{6,61,1},{6,41,2},{0,44,400},{0,44,400},{16,63,11658},{14,63,7195},{13,63,4225},{12,63,2693},{14,63,13066},{10,63,5014},{8,63,261},{6,54,2366},{3,63,12366},{0,55,2274},{20,63,4338},{18,63,2037},{17,63,289},{16,62,80},{31,24,7578},
{13,63,4037},{9,63,202},{0,55,1698},{29,42,7578},{0,55,1698},{13,63,4225},{13,63,4225},{13,63,4225},{12,63,2693},{10,63,3429},{8,63,261},{8,63,261},{7,47,132},{0,61,3509},{0,49,290},{17,63,289},{17,63,289},{17,63,289},{16,59,0},{31,4,2178},{9,63,202},{9,63,202},{3,49,2},{30,29,2178},{3,49,2},{31,44,1625},{23,63,850},{20,63,0},{13,63,1},{31,44,1625},{31,52,1625},{13,63,1},
{0,56,1625},{31,52,1625},{0,56,1625},{12,0,2689},{12,0,2689},{12,0,2689},{12,0,2689},{7,63,5},{7,63,5},{7,63,5},{7,44,4},{0,49,289},{0,49,289},{16,63,11002},{15,63,7081},{14,63,4450},{13,63,2738},{15,63,12205},{11,63,4663},{9,63,411},{7,55,1813},{4,63,11643},{0,56,1550},{21,63,3802},{20,63,1845},{18,63,388},{17,62,25},{31,27,6661},{15,63,3525},{11,63,290},{0,57,1217},{29,44,6661},
{0,57,1217},{14,63,4450},{14,63,4450},{14,63,4450},{13,63,2738},{11,63,3675},{9,63,411},{9,63,411},{8,49,131},{0,63,3354},{0,51,222},{18,63,388},{18,63,388},{18,63,388},{17,61,0},{30,13,2178},{11,63,290},{11,63,290},{4,51,2},{31,31,2178},{4,51,2},{31,47,1201},{24,63,653},{22,63,4},{15,63,1},{31,47,1201},{31,53,1201},{15,63,1},{0,57,1201},{31,53,1201},{0,57,1201},{13,0,2689},
{13,0,2689},{13,0,2689},{13,0,2689},{8,63,17},{8,63,17},{8,63,17},{8,46,2},{0,53,205},{0,53,205},{17,63,10434},{16,63,7010},{15,63,4693},{14,63,2833},{16,63,11374},{12,63,4462},{10,63,629},{8,56,1358},{6,63,10895},{0,57,1002},{22,63,3334},{20,63,1701},{19,63,505},{18,63,0},{31,31,5829},{16,63,3145},{12,63,405},{1,58,842},{31,44,5829},{1,58,842},{15,63,4693},{15,63,4693},{15,63,4693},
{14,63,2833},{12,63,3906},{10,63,629},{10,63,629},{9,51,131},{1,63,3525},{0,54,218},{19,63,505},{19,63,505},{19,63,505},{18,63,0},{31,15,2178},{12,63,405},{12,63,405},{5,53,2},{31,34,2178},{5,53,2},{31,49,841},{25,63,461},{23,63,1},{18,63,0},{31,49,841},{31,55,841},{18,63,0},{0,58,841},{31,55,841},{0,58,841},{14,0,2689},{14,0,2689},{14,0,2689},{14,0,2689},{9,63,50},
{9,63,50},{9,63,50},{9,48,2},{0,57,137},{0,57,137},{18,63,9934},{17,63,6962},{16,63,4913},{15,63,2978},{17,63,10683},{13,63,4277},{11,63,915},{9,58,974},{8,63,10078},{0,59,630},{23,63,2934},{22,63,1605},{21,63,650},{19,63,25},{31,34,5082},{18,63,2769},{14,63,521},{2,59,546},{31,46,5082},{2,59,546},{16,63,4913},{16,63,4913},{16,63,4913},{15,63,2978},{14,63,4170},{11,63,915},{11,63,915},
{10,53,131},{3,63,3789},{1,56,218},{21,63,650},{21,63,650},{21,63,650},{19,63,25},{31,20,2178},{14,63,521},{14,63,521},{6,55,2},{31,37,2178},{6,55,2},{31,52,545},{26,63,305},{25,63,4},{20,63,1},{31,52,545},{30,58,545},{20,63,1},{0,59,545},{30,58,545},{0,59,545},{15,0,2689},{15,0,2689},{15,0,2689},{15,0,2689},{11,63,74},{11,63,74},{11,63,74},{10,49,2},{0,59,85},
{0,59,85},{19,63,9465},{18,63,6955},{17,63,5233},{16,63,3218},{18,63,10003},{14,63,4183},{13,63,1258},{11,58,645},{9,63,9445},{1,61,409},{24,63,2529},{23,63,1525},{22,63,785},{20,63,100},{31,38,4344},{20,63,2345},{16,63,698},{4,60,289},{31,48,4344},{4,60,289},{17,63,5233},{17,63,5233},{17,63,5233},{16,63,3218},{15,63,4491},{13,63,1258},{13,63,1258},{11,56,120},{5,63,4171},{2,59,213},{22,63,785},
{22,63,785},{22,63,785},{20,63,100},{31,26,2178},{16,63,698},{16,63,698},{7,57,0},{30,42,2178},{7,57,0},{31,55,288},{28,63,162},{26,63,4},{23,63,1},{31,55,288},{28,62,288},{23,63,1},{0,60,288},{28,62,288},{0,60,288},{16,0,2689},{16,0,2689},{16,0,2689},{16,0,2689},{12,63,113},{12,63,113},{12,63,113},{11,52,4},{0,63,45},{0,63,45},{20,63,9219},{19,63,6985},{18,63,5530},
{17,63,3473},{19,63,9496},{15,63,4186},{14,63,1630},{11,60,404},{11,63,8961},{3,61,277},{25,63,2275},{24,63,1509},{23,63,932},{22,63,208},{30,45,3779},{21,63,2086},{18,63,850},{6,61,129},{31,50,3779},{6,61,129},{18,63,5530},{18,63,5530},{18,63,5530},{17,63,3473},{16,63,4770},{14,63,1630},{14,63,1630},{12,57,129},{8,63,4442},{3,61,213},{23,63,932},{23,63,932},{23,63,932},{22,63,208},{31,31,2178},
{18,63,850},{18,63,850},{8,59,1},{31,44,2178},{8,59,1},{31,58,128},{29,63,72},{28,63,1},{26,63,0},{31,58,128},{31,60,128},{26,63,0},{0,61,128},{31,60,128},{0,61,128},{17,0,2689},{17,0,2689},{17,0,2689},{17,0,2689},{13,63,170},{13,63,170},{13,63,170},{12,54,2},{2,63,89},{2,63,89},{21,63,8929},{20,63,7062},{19,63,5845},{18,63,3778},{20,63,9188},{17,63,4260},{15,63,2070},
{13,61,234},{13,63,8680},{4,62,212},{26,63,2089},{25,63,1515},{24,63,1073},{23,63,353},{29,52,3299},{22,63,1913},{20,63,965},{8,62,32},{28,56,3299},{8,62,32},{19,63,5845},{19,63,5845},{19,63,5845},{18,63,3778},{17,63,5124},{15,63,2070},{15,63,2070},{13,59,129},{9,63,4725},{4,62,196},{24,63,1073},{24,63,1073},{24,63,1073},{23,63,353},{31,36,2178},{20,63,965},{20,63,965},{9,61,1},{31,47,2178},
{9,61,1},{31,60,34},{30,63,18},{29,63,4},{28,63,1},{31,60,34},{31,61,34},{28,63,1},{0,62,32},{31,61,34},{0,62,32},{18,0,2689},{18,0,2689},{18,0,2689},{18,0,2689},{14,63,245},{14,63,245},{14,63,245},{13,56,2},{4,63,164},{4,63,164},{22,63,8707},{21,63,7170},{21,63,6209},{19,63,4133},{21,63,8853},{18,63,4387},{17,63,2548},{14,62,154},{14,63,8388},{6,63,244},{27,63,1971},
{26,63,1557},{25,63,1250},{24,63,565},{30,52,2904},{23,63,1826},{22,63,1145},{10,63,1},{28,58,2904},{10,63,1},{21,63,6209},{21,63,6209},{21,63,6209},{19,63,4133},{19,63,5460},{17,63,2548},{17,63,2548},{14,61,129},{11,63,5085},{6,63,244},{25,63,1250},{25,63,1250},{25,63,1250},{24,63,565},{30,45,2178},{22,63,1145},{22,63,1145},{10,63,1},{31,50,2178},{10,63,1},{31,63,0},{31,63,0},{31,63,0},
{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{19,0,2689},{19,0,2689},{19,0,2689},{19,0,2689},{15,63,338},{15,63,338},{15,63,338},{14,58,2},{6,63,244},{6,63,244},{23,63,7705},{22,63,6418},{21,63,5633},{20,63,3845},{22,63,7654},{19,63,3874},{18,63,2310},{15,63,53},{15,63,7258},{8,63,317},{27,63,1458},{27,63,1186},{26,63,932},{25,63,425},{30,54,2166},
{25,63,1398},{23,63,850},{13,63,1},{29,58,2166},{13,63,1},{21,63,5633},{21,63,5633},{21,63,5633},{20,63,3845},{19,63,4830},{18,63,2310},{18,63,2310},{15,62,45},{13,63,4506},{8,63,317},{26,63,932},{26,63,932},{26,63,932},{25,63,425},{31,44,1625},{23,63,850},{23,63,850},{13,63,1},{31,52,1625},{13,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},
{0,63,0},{31,63,0},{0,63,0},{20,0,2689},{20,0,2689},{20,0,2689},{20,0,2689},{16,63,449},{16,63,449},{16,63,449},{15,60,4},{8,63,317},{8,63,317},{24,63,6881},{23,63,5814},{22,63,5138},{21,63,3650},{23,63,6713},{20,63,3400},{19,63,2142},{16,63,5},{17,63,6397},{9,63,425},{28,63,1075},{27,63,866},{27,63,697},{26,63,320},{30,56,1601},{26,63,1041},{24,63,653},{15,63,1},{30,58,1601},
{15,63,1},{22,63,5138},{22,63,5138},{22,63,5138},{21,63,3650},{21,63,4313},{19,63,2142},{19,63,2142},{16,63,5},{14,63,3981},{9,63,425},{27,63,697},{27,63,697},{27,63,697},{26,63,320},{31,47,1201},{24,63,653},{24,63,653},{15,63,1},{31,53,1201},{15,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{21,0,2689},
{21,0,2689},{21,0,2689},{21,0,2689},{18,63,549},{18,63,549},{18,63,549},{16,62,1},{9,63,425},{9,63,425},{24,63,6097},{24,63,5285},{23,63,4693},{22,63,3473},{23,63,5833},{21,63,3067},{20,63,1988},{17,63,10},{18,63,5571},{11,63,541},{28,63,739},{28,63,595},{27,63,505},{27,63,233},{31,54,1121},{26,63,737},{25,63,461},{18,63,0},{29,60,1121},{18,63,0},{23,63,4693},{23,63,4693},{23,63,4693},
{22,63,3473},{22,63,3845},{20,63,1988},{20,63,1988},{17,63,10},{15,63,3542},{11,63,541},{27,63,505},{27,63,505},{27,63,505},{27,63,233},{31,49,841},{25,63,461},{25,63,461},{18,63,0},{31,55,841},{18,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{22,0,2689},{22,0,2689},{22,0,2689},{22,0,2689},{19,63,666},
{19,63,666},{19,63,666},{17,63,10},{11,63,541},{11,63,541},{25,63,5427},{24,63,4757},{24,63,4273},{23,63,3314},{24,63,5002},{22,63,2788},{21,63,1898},{18,63,65},{20,63,4714},{13,63,698},{29,63,489},{28,63,387},{28,63,306},{28,63,162},{31,56,726},{27,63,482},{26,63,305},{20,63,1},{30,60,726},{20,63,1},{24,63,4273},{24,63,4273},{24,63,4273},{23,63,3314},{22,63,3429},{21,63,1898},{21,63,1898},
{18,63,65},{17,63,3213},{13,63,698},{28,63,306},{28,63,306},{28,63,306},{28,63,162},{31,52,545},{26,63,305},{26,63,305},{20,63,1},{30,58,545},{20,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{23,0,2689},{23,0,2689},{23,0,2689},{23,0,2689},{20,63,832},{20,63,832},{20,63,832},{18,63,65},{13,63,698},
{13,63,698},{4,63,33740},{0,63,5184},{0,45,446},{0,43,4126},{3,63,45594},{0,59,24105},{0,42,8295},{0,37,24703},{0,44,64117},{0,34,38807},{2,63,9704},{0,61,2866},{0,44,386},{0,37,3205},{14,4,18065},{0,38,13219},{0,34,6147},{0,24,13496},{25,0,18065},{0,24,13496},{0,31,1},{0,31,1},{0,31,1},{0,19,1},{0,16,1105},{0,15,584},{0,15,584},{0,9,605},{0,8,1273},{0,7,750},{0,31,1},
{0,31,1},{0,31,1},{0,19,1},{4,2,1105},{0,15,584},{0,15,584},{0,9,605},{8,0,1105},{0,9,605},{21,5,9248},{0,61,2866},{0,44,386},{0,37,3205},{21,5,9248},{31,8,9248},{0,37,3205},{0,28,9256},{31,8,9248},{0,28,9256},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{4,63,38380},{1,63,6614},{0,47,261},
{0,45,3769},{4,63,50747},{0,63,24961},{0,44,8337},{0,39,25658},{0,46,65535},{0,36,41267},{2,63,10152},{0,63,2624},{0,46,221},{0,41,2929},{16,0,19334},{0,42,13795},{0,36,6237},{0,26,14121},{26,1,19334},{0,26,14121},{0,36,1},{0,36,1},{0,36,1},{0,22,0},{0,18,1513},{0,17,769},{0,17,769},{0,9,845},{0,9,1742},{0,9,1014},{0,36,1},{0,36,1},{0,36,1},{0,22,0},{5,1,1513},
{0,17,769},{0,17,769},{0,9,845},{9,0,1513},{0,9,845},{24,0,9248},{0,63,2624},{0,46,221},{0,41,2929},{24,0,9248},{31,11,9248},{0,41,2929},{0,30,9256},{31,11,9248},{0,30,9256},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{4,63,43788},{1,63,8598},{0,49,121},{0,47,3430},{4,63,56155},{0,63,26241},{0,46,8415},
{0,41,26663},{0,46,65535},{0,36,43795},{3,63,10706},{0,63,2624},{0,48,116},{0,43,2650},{17,0,20689},{0,44,14404},{0,38,6363},{0,28,14796},{26,3,20689},{0,28,14796},{0,42,0},{0,42,0},{0,42,0},{0,25,0},{0,21,1985},{0,19,1009},{0,19,1009},{0,11,1090},{0,11,2281},{0,11,1346},{0,42,0},{0,42,0},{0,42,0},{0,25,0},{6,1,1985},{0,19,1009},{0,19,1009},{0,11,1090},{9,2,1985},
{0,11,1090},{25,2,9248},{0,63,2624},{0,48,116},{0,43,2650},{25,2,9248},{27,19,9248},{0,43,2650},{0,32,9250},{27,19,9248},{0,32,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{5,63,49566},{1,63,11350},{0,51,36},{0,50,3105},{4,63,62331},{0,63,28289},{0,48,8549},{0,43,27718},{0,49,65535},{0,38,46395},{4,63,11395},
{0,63,2880},{0,51,36},{0,45,2389},{17,4,22129},{0,46,15067},{0,40,6525},{0,28,15500},{27,4,22129},{0,28,15500},{0,47,0},{0,47,0},{0,47,0},{0,28,1},{0,24,2521},{0,21,1285},{0,21,1285},{0,13,1385},{0,12,2905},{0,11,1714},{0,47,0},{0,47,0},{0,47,0},{0,28,1},{7,0,2521},{0,21,1285},{0,21,1285},{0,13,1385},{11,1,2521},{0,13,1385},{26,4,9248},{1,63,2866},{0,51,36},
{0,45,2389},{26,4,9248},{28,21,9248},{0,45,2389},{0,34,9250},{28,21,9248},{0,34,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{5,63,56892},{2,63,15166},{0,53,5},{0,52,2726},{5,63,65535},{0,63,31511},{0,51,8735},{0,45,28953},{0,53,65535},{0,40,49505},{4,63,12385},{1,63,3380},{0,53,1},{0,47,2120},{19,1,23851},
{0,49,15876},{0,42,6761},{0,30,16331},{29,4,23851},{0,30,16331},{0,53,0},{0,53,0},{0,53,0},{0,32,1},{0,27,3200},{0,23,1640},{0,23,1640},{0,15,1769},{0,13,3689},{0,13,2169},{0,53,0},{0,53,0},{0,53,0},{0,32,1},{7,3,3200},{0,23,1640},{0,23,1640},{0,15,1769},{13,0,3200},{0,15,1769},{28,3,9248},{3,63,3204},{0,53,1},{0,47,2120},{28,3,9248},{31,21,9248},{0,47,2120},
{0,36,9256},{31,21,9248},{0,36,9256},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{6,63,63870},{2,63,19230},{0,55,30},{0,54,2429},{5,63,65535},{1,63,35016},{0,53,8921},{0,47,30108},{0,55,65535},{0,42,52385},{5,63,13379},{2,63,4026},{0,56,18},{0,50,1885},{20,1,25472},{0,53,16616},{0,46,6989},{0,33,17105},{29,6,25472},
{0,33,17105},{0,58,0},{0,58,0},{0,58,0},{0,35,0},{0,29,3874},{0,25,1994},{0,25,1994},{0,16,2129},{0,15,4454},{0,15,2637},{0,58,0},{0,58,0},{0,58,0},{0,35,0},{8,2,3872},{0,25,1994},{0,25,1994},{0,16,2129},{12,3,3872},{0,16,2129},{29,5,9248},{5,63,3589},{1,55,1},{0,50,1885},{29,5,9248},{31,24,9248},{0,50,1885},{0,38,9256},{31,24,9248},{0,38,9256},{0,0,0},
{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{6,63,65535},{2,63,24002},{0,57,109},{0,56,2154},{6,63,65535},{1,63,38780},{0,55,8815},{0,48,30807},{0,57,65535},{0,44,54965},{6,63,14345},{2,63,4766},{1,58,54},{0,52,1670},{20,5,26744},{0,55,17059},{0,46,7005},{0,33,17609},{31,6,26744},{0,33,17609},{0,63,5},{0,63,5},{0,63,5},
{0,38,4},{0,32,4420},{0,29,2210},{0,29,2210},{0,18,2378},{0,17,5115},{0,16,2981},{0,63,5},{0,63,5},{0,63,5},{0,38,4},{9,2,4418},{0,29,2210},{0,29,2210},{0,18,2378},{16,0,4418},{0,18,2378},{30,7,9248},{8,63,3904},{2,57,1},{0,52,1666},{30,7,9248},{28,31,9248},{0,52,1666},{0,40,9256},{28,31,9248},{0,40,9256},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,1,0},{0,1,1},{0,1,1},{7,63,65535},{3,63,29032},{0,60,314},{0,58,1989},{6,63,65535},{2,63,42151},{0,57,7781},{0,50,30102},{0,59,65535},{0,46,56345},{7,63,14819},{3,63,5416},{2,60,54},{0,54,1565},{23,0,26744},{0,59,16547},{0,49,6177},{0,37,17105},{31,9,26744},{0,37,17105},{1,63,84},{1,63,84},{1,63,84},{1,40,68},{0,38,4418},{0,31,1972},{0,31,1972},
{0,20,2129},{0,19,5364},{0,18,2915},{1,63,20},{1,63,20},{1,63,20},{1,40,4},{11,1,4418},{0,31,1972},{0,31,1972},{0,20,2129},{17,2,4418},{0,20,2129},{31,9,9248},{8,63,4160},{3,59,1},{0,54,1465},{31,9,9248},{28,34,9248},{0,54,1465},{0,42,9256},{28,34,9248},{0,42,9256},{1,0,68},{1,0,68},{1,0,68},{1,0,68},{0,7,0},{0,7,0},{0,7,0},{0,4,0},{0,3,25},
{0,3,25},{7,63,65535},{3,63,35719},{1,62,657},{0,60,1985},{7,63,65535},{2,63,46660},{0,59,6696},{0,52,29368},{0,63,65535},{0,49,58301},{9,63,15473},{5,63,6173},{3,62,45},{1,56,1566},{23,6,26744},{0,63,15992},{0,53,5318},{0,39,16547},{30,14,26744},{0,39,16547},{2,63,329},{2,63,329},{2,63,329},{1,44,186},{0,44,4418},{0,36,1709},{0,36,1709},{0,22,1872},{0,23,5702},{0,20,2885},{3,63,34},
{3,63,34},{3,63,34},{2,42,10},{13,0,4418},{0,36,1709},{0,36,1709},{0,22,1872},{20,2,4418},{0,22,1872},{31,15,9248},{10,63,4570},{4,61,4},{0,56,1268},{31,15,9248},{31,34,9248},{0,56,1268},{0,45,9250},{31,34,9248},{0,45,9250},{1,0,185},{1,0,185},{1,0,185},{1,0,185},{0,13,0},{0,13,0},{0,13,0},{0,8,1},{0,6,97},{0,6,97},{7,63,65535},{4,63,40786},{1,63,1122},
{0,62,2034},{7,63,65535},{2,63,49800},{0,61,5634},{0,54,27965},{0,63,65535},{0,49,58553},{10,63,15531},{6,63,6593},{4,63,61},{2,58,1482},{25,4,26259},{0,63,15284},{0,55,4484},{0,41,15722},{28,19,26259},{0,41,15722},{2,63,633},{2,63,633},{2,63,633},{2,46,378},{0,49,4418},{0,40,1489},{0,40,1489},{0,24,1665},{0,25,6029},{0,22,2897},{4,63,61},{4,63,61},{4,63,61},{3,44,10},{14,2,4418},
{0,40,1489},{0,40,1489},{0,24,1665},{24,0,4418},{0,24,1665},{31,19,8978},{11,63,4744},{5,63,0},{0,58,1025},{31,19,8978},{30,38,8978},{0,58,1025},{0,46,8986},{30,38,8978},{0,46,8986},{2,0,377},{2,0,377},{2,0,377},{2,0,377},{0,18,0},{0,18,0},{0,18,0},{0,11,0},{0,8,193},{0,8,193},{8,63,65535},{4,63,40898},{1,63,1890},{1,62,2029},{7,63,65535},{3,63,47871},{0,61,4194},
{0,56,24760},{0,63,65535},{0,49,55881},{11,63,14325},{8,63,6051},{5,63,100},{3,58,1197},{27,1,24371},{0,63,13716},{0,57,3402},{0,41,13914},{30,19,24371},{0,41,13914},{3,63,1058},{3,63,1058},{3,63,1058},{2,49,618},{0,54,4418},{0,44,1285},{0,44,1285},{0,26,1476},{0,27,6410},{0,25,2937},{5,63,100},{5,63,100},{5,63,100},{4,46,5},{16,0,4418},{0,44,1285},{0,44,1285},{0,26,1476},{26,1,4418},
{0,26,1476},{31,22,7938},{13,63,4225},{7,63,4},{0,60,628},{31,22,7938},{28,42,7938},{0,60,628},{0,47,7946},{28,42,7938},{0,47,7946},{2,0,617},{2,0,617},{2,0,617},{2,0,617},{0,23,1},{0,23,1},{0,23,1},{0,14,0},{0,11,320},{0,11,320},{8,63,65535},{4,63,41266},{1,63,2914},{1,62,2109},{7,63,65535},{3,63,46175},{0,61,3010},{0,56,21624},{0,63,65535},{0,51,53461},{12,63,13140},
{8,63,5571},{6,63,157},{4,59,932},{28,1,22568},{0,63,12404},{0,57,2474},{0,43,12155},{30,21,22568},{0,43,12155},{4,63,1630},{4,63,1630},{4,63,1630},{3,51,938},{0,59,4420},{0,46,1117},{0,46,1117},{0,30,1280},{0,31,6822},{0,27,3009},{6,63,157},{6,63,157},{6,63,157},{5,48,4},{17,2,4418},{0,46,1117},{0,46,1117},{0,30,1280},{27,3,4418},{0,30,1280},{30,28,6962},{14,63,3709},{8,63,1},
{0,60,340},{30,28,6962},{31,40,6962},{0,60,340},{0,48,6964},{31,40,6962},{0,48,6964},{3,0,937},{3,0,937},{3,0,937},{3,0,937},{0,29,0},{0,29,0},{0,29,0},{0,17,0},{0,13,482},{0,13,482},{9,63,65535},{5,63,41956},{2,63,4257},{1,62,2505},{7,63,65535},{3,63,44573},{0,62,1944},{0,56,18402},{0,63,65535},{0,51,50815},{13,63,11930},{10,63,5125},{7,63,250},{5,59,701},{28,5,20642},
{1,63,11209},{0,59,1634},{0,45,10346},{31,22,20642},{0,45,10346},{4,63,2350},{4,63,2350},{4,63,2350},{3,54,1361},{0,63,4450},{0,51,914},{0,51,914},{0,32,1097},{0,34,7357},{0,29,3131},{7,63,250},{7,63,250},{7,63,250},{6,50,10},{19,1,4418},{0,51,914},{0,51,914},{0,32,1097},{29,4,4418},{0,32,1097},{31,27,5941},{15,63,3176},{10,63,0},{0,62,116},{31,27,5941},{31,42,5941},{0,62,116},
{0,49,5945},{31,42,5941},{0,49,5945},{3,0,1360},{3,0,1360},{3,0,1360},{3,0,1360},{0,34,1},{0,34,1},{0,34,1},{0,21,1},{0,17,706},{0,17,706},{9,63,65535},{5,63,42660},{2,63,5617},{1,63,3088},{8,63,65535},{3,63,43421},{0,62,1240},{0,56,15810},{0,63,65535},{0,51,48735},{13,63,10922},{11,63,4753},{8,63,360},{6,61,509},{29,5,19021},{2,63,10246},{0,61,1088},{0,47,8885},{31,24,19021},
{0,47,8885},{5,63,3131},{5,63,3131},{5,63,3131},{4,56,1818},{1,63,4580},{0,55,754},{0,55,754},{0,35,928},{0,36,7846},{0,31,3281},{8,63,360},{8,63,360},{8,63,360},{7,52,10},{20,3,4418},{0,55,754},{0,55,754},{0,35,928},{30,6,4418},{0,35,928},{31,30,5101},{17,63,2777},{11,63,9},{0,62,20},{31,30,5101},{31,43,5101},{0,62,20},{0,50,5105},{31,43,5101},{0,50,5105},{4,0,1818},
{4,0,1818},{4,0,1818},{4,0,1818},{0,40,0},{0,40,0},{0,40,0},{0,24,0},{0,17,914},{0,17,914},{9,63,65535},{5,63,43620},{2,63,7233},{1,63,3920},{8,63,65535},{3,63,42525},{0,63,738},{0,58,13413},{0,63,65535},{0,51,46911},{14,63,9978},{11,63,4449},{10,63,452},{8,60,344},{31,2,17485},{3,63,9369},{0,61,704},{0,48,7498},{29,29,17485},{0,48,7498},{6,63,4058},{6,63,4058},{6,63,4058},
{4,59,2315},{2,63,4874},{0,59,610},{0,59,610},{0,37,769},{0,38,8389},{0,32,3497},{10,63,452},{10,63,452},{10,63,452},{8,54,5},{21,5,4418},{0,59,610},{0,59,610},{0,37,769},{31,8,4418},{0,37,769},{31,32,4325},{18,63,2357},{13,63,0},{1,63,0},{31,32,4325},{31,45,4325},{1,63,0},{0,51,4329},{31,45,4325},{0,51,4329},{4,0,2314},{4,0,2314},{4,0,2314},{4,0,2314},{0,45,0},
{0,45,0},{0,45,0},{0,27,0},{0,19,1184},{0,19,1184},{9,63,65535},{5,63,44836},{2,63,9105},{2,63,4905},{8,63,65535},{3,63,41885},{0,63,482},{0,58,11125},{0,63,65535},{0,51,45343},{15,63,9102},{13,63,4161},{11,63,557},{9,61,212},{30,9,16034},{5,63,8602},{0,63,482},{0,48,6250},{29,31,16034},{0,48,6250},{6,63,5066},{6,63,5066},{6,63,5066},{5,61,2907},{2,63,5322},{0,63,482},{0,63,482},
{0,39,628},{0,42,8965},{0,36,3717},{11,63,557},{11,63,557},{11,63,557},{9,56,5},{24,0,4418},{0,63,482},{0,63,482},{0,39,628},{31,11,4418},{0,39,628},{31,35,3613},{20,63,1940},{15,63,4},{4,63,1},{31,35,3613},{28,50,3613},{4,63,1},{0,52,3617},{28,50,3613},{0,52,3617},{5,0,2906},{5,0,2906},{5,0,2906},{5,0,2906},{0,50,0},{0,50,0},{0,50,0},{0,30,1},{0,23,1480},
{0,23,1480},{9,63,65535},{5,63,46510},{3,63,11362},{2,63,6237},{9,63,65535},{3,63,41471},{0,63,500},{0,58,8857},{0,63,65535},{0,53,43697},{16,63,8139},{14,63,3853},{12,63,680},{10,62,89},{30,13,14504},{8,63,7667},{0,63,500},{0,50,4961},{31,31,14504},{0,50,4961},{7,63,6337},{7,63,6337},{7,63,6337},{5,63,3642},{3,63,5962},{0,63,500},{0,63,500},{0,41,493},{0,44,9656},{0,38,3995},{12,63,680},
{12,63,680},{12,63,680},{10,59,10},{24,6,4418},{0,63,500},{0,63,500},{0,41,493},{29,17,4418},{0,41,493},{31,38,2888},{20,63,1517},{16,63,1},{7,63,1},{31,38,2888},{31,48,2888},{7,63,1},{0,53,2896},{31,48,2888},{0,53,2896},{5,0,3617},{5,0,3617},{5,0,3617},{5,0,3617},{0,56,0},{0,56,0},{0,56,0},{0,34,1},{0,25,1853},{0,25,1853},{10,63,65535},{6,63,48082},{3,63,13570},
{2,63,7693},{9,63,65535},{3,63,41375},{0,63,788},{0,58,7113},{0,63,65535},{0,53,42465},{17,63,7409},{15,63,3625},{13,63,821},{11,62,34},{31,13,13235},{8,63,6899},{2,63,628},{0,52,3956},{30,34,13235},{0,52,3956},{7,63,7681},{7,63,7681},{7,63,7681},{6,63,4437},{4,63,6659},{1,63,738},{1,63,738},{0,43,394},{0,46,10331},{0,40,4289},{13,63,821},{13,63,821},{13,63,821},{11,61,10},{27,1,4418},
{2,63,628},{2,63,628},{0,43,394},{30,19,4418},{0,43,394},{31,41,2312},{21,63,1217},{18,63,1},{9,63,0},{31,41,2312},{29,52,2312},{9,63,0},{0,54,2320},{29,52,2312},{0,54,2320},{6,0,4337},{6,0,4337},{6,0,4337},{6,0,4337},{0,61,1},{0,61,1},{0,61,1},{0,37,0},{0,27,2225},{0,27,2225},{10,63,65535},{6,63,49890},{3,63,16034},{2,63,9405},{9,63,65535},{4,63,41526},{0,63,1332},
{0,59,5520},{0,63,65535},{0,53,41489},{18,63,6747},{16,63,3459},{14,63,980},{12,63,5},{30,20,12051},{10,63,6275},{4,63,801},{0,53,3089},{31,35,12051},{0,53,3089},{8,63,9062},{8,63,9062},{8,63,9062},{7,63,5410},{4,63,7555},{1,63,1154},{1,63,1154},{0,46,306},{0,49,11046},{0,42,4619},{14,63,980},{14,63,980},{14,63,980},{12,62,5},{28,3,4418},{4,63,801},{4,63,801},{0,46,306},{31,21,4418},
{0,46,306},{30,47,1800},{23,63,949},{19,63,4},{12,63,1},{30,47,1800},{31,51,1800},{12,63,1},{0,55,1808},{31,51,1800},{0,55,1808},{6,0,5105},{6,0,5105},{6,0,5105},{6,0,5105},{0,63,36},{0,63,36},{0,63,36},{0,40,0},{0,29,2633},{0,29,2633},{10,63,65535},{6,63,51954},{3,63,18754},{3,63,11330},{9,63,65535},{4,63,41798},{1,63,2082},{0,60,4084},{0,63,65535},{0,53,40769},{19,63,6153},
{17,63,3297},{16,63,1154},{13,63,20},{31,20,10952},{11,63,5708},{6,63,965},{0,54,2281},{31,37,10952},{0,54,2281},{9,63,10545},{9,63,10545},{9,63,10545},{7,63,6482},{5,63,8549},{2,63,1716},{2,63,1716},{0,48,208},{0,53,11786},{0,44,4985},{16,63,1154},{16,63,1154},{16,63,1154},{13,63,20},{29,5,4418},{6,63,965},{6,63,965},{0,48,208},{31,24,4418},{0,48,208},{31,46,1352},{23,63,725},{21,63,0},
{14,63,1},{31,46,1352},{30,54,1352},{14,63,1},{0,56,1360},{30,54,1352},{0,56,1360},{7,0,5953},{7,0,5953},{7,0,5953},{7,0,5953},{1,63,145},{1,63,145},{1,63,145},{0,43,1},{0,31,3077},{0,31,3077},{10,63,65535},{6,63,54582},{4,63,21886},{3,63,13652},{9,63,65535},{4,63,42410},{1,63,3144},{0,60,2770},{0,63,65535},{0,55,40127},{19,63,5649},{18,63,3157},{17,63,1325},{15,63,74},{31,24,9818},
{13,63,5241},{8,63,1108},{0,56,1538},{29,42,9818},{0,56,1538},{10,63,12376},{10,63,12376},{10,63,12376},{8,63,7844},{6,63,9861},{3,63,2576},{3,63,2576},{0,50,145},{0,55,12659},{0,46,5441},{17,63,1325},{17,63,1325},{17,63,1325},{15,63,74},{31,4,4418},{8,63,1108},{8,63,1108},{0,50,145},{30,29,4418},{0,50,145},{31,49,925},{25,63,505},{23,63,1},{17,63,1},{31,49,925},{30,56,925},{17,63,1},
{0,58,929},{30,56,925},{0,58,929},{7,0,6970},{7,0,6970},{7,0,6970},{7,0,6970},{1,63,388},{1,63,388},{1,63,388},{0,47,0},{0,34,3625},{0,34,3625},{10,63,65535},{7,63,57052},{4,63,24910},{3,63,15988},{9,63,65535},{4,63,43226},{1,63,4360},{0,61,1833},{0,63,65535},{0,55,39743},{21,63,5202},{19,63,3073},{18,63,1508},{16,63,180},{31,27,8901},{14,63,4814},{10,63,1300},{0,57,1021},{29,44,8901},
{0,57,1021},{10,63,14136},{10,63,14136},{10,63,14136},{8,63,9252},{7,63,11195},{3,63,3536},{3,63,3536},{0,53,89},{0,59,13491},{0,49,5921},{18,63,1508},{18,63,1508},{18,63,1508},{16,63,180},{30,13,4418},{10,63,1300},{10,63,1300},{0,53,89},{31,31,4418},{0,53,89},{31,51,613},{26,63,337},{24,63,1},{20,63,1},{31,51,613},{31,56,613},{20,63,1},{0,59,617},{31,56,613},{0,59,617},{8,0,7956},
{8,0,7956},{8,0,7956},{8,0,7956},{2,63,697},{2,63,697},{2,63,697},{0,50,0},{0,36,4141},{0,36,4141},{11,63,65535},{7,63,59708},{4,63,28190},{3,63,18580},{10,63,65535},{5,63,44295},{1,63,5832},{0,61,1081},{0,63,65535},{0,55,39615},{22,63,4818},{20,63,3017},{19,63,1709},{17,63,325},{31,31,8069},{15,63,4473},{11,63,1514},{0,58,593},{31,44,8069},{0,58,593},{11,63,15965},{11,63,15965},{11,63,15965},
{9,63,10757},{7,63,12667},{4,63,4662},{4,63,4662},{0,55,50},{0,61,14340},{0,51,6395},{19,63,1709},{19,63,1709},{19,63,1709},{17,63,325},{31,15,4418},{11,63,1514},{11,63,1514},{0,55,50},{31,34,4418},{0,55,50},{31,54,365},{27,63,205},{26,63,1},{22,63,1},{31,54,365},{31,58,365},{22,63,1},{0,60,369},{31,58,365},{0,60,369},{8,0,8980},{8,0,8980},{8,0,8980},{8,0,8980},{2,63,1097},
{2,63,1097},{2,63,1097},{0,53,0},{0,40,4689},{0,40,4689},{11,63,65535},{8,63,58981},{5,63,29551},{4,63,19751},{10,63,65535},{5,63,43215},{2,63,6910},{1,62,614},{0,63,65535},{0,57,34909},{23,63,4502},{21,63,3011},{20,63,1973},{18,63,520},{31,34,7322},{17,63,4242},{13,63,1769},{0,60,274},{31,46,7322},{0,60,274},{12,63,16739},{12,63,16739},{12,63,16739},{10,63,11492},{8,63,13636},{5,63,5510},{5,63,5510},
{0,58,53},{0,63,14139},{0,53,5981},{20,63,1973},{20,63,1973},{20,63,1973},{18,63,520},{31,20,4418},{13,63,1769},{13,63,1769},{0,58,17},{31,37,4418},{0,58,17},{31,57,181},{28,63,97},{27,63,4},{25,63,0},{31,57,181},{31,59,181},{25,63,0},{0,61,185},{31,59,181},{0,61,185},{9,0,9248},{9,0,9248},{9,0,9248},{9,0,9248},{3,63,1348},{3,63,1348},{3,63,1348},{1,55,4},{0,42,4545},
{0,42,4545},{12,63,65535},{9,63,57270},{6,63,30345},{5,63,20521},{11,63,65535},{6,63,41449},{3,63,8015},{2,62,242},{0,63,65535},{0,57,28330},{24,63,4181},{22,63,3053},{21,63,2248},{20,63,772},{31,38,6584},{20,63,3941},{15,63,2041},{0,61,77},{31,48,6584},{0,61,77},{13,63,17289},{13,63,17289},{13,63,17289},{11,63,12050},{10,63,14315},{7,63,6389},{7,63,6389},{2,60,41},{0,63,13860},{0,55,5252},{21,63,2248},
{21,63,2248},{21,63,2248},{20,63,772},{31,26,4418},{15,63,2041},{15,63,2041},{0,60,4},{30,42,4418},{0,60,4},{31,60,50},{30,63,34},{29,63,0},{28,63,1},{31,60,50},{31,61,50},{28,63,1},{0,62,52},{31,61,50},{0,62,52},{10,0,9250},{10,0,9250},{10,0,9250},{10,0,9250},{4,63,1549},{4,63,1549},{4,63,1549},{2,57,2},{0,46,4141},{0,46,4141},{13,63,65535},{9,63,55894},{7,63,31068},
{6,63,21256},{12,63,65535},{8,63,39740},{4,63,9073},{3,63,90},{0,63,65535},{0,59,23356},{24,63,3973},{23,63,3125},{23,63,2500},{21,63,1037},{30,45,6019},{20,63,3701},{17,63,2340},{0,63,4},{31,50,6019},{0,63,4},{14,63,17796},{14,63,17796},{14,63,17796},{12,63,12625},{11,63,14957},{8,63,7139},{8,63,7139},{3,62,41},{0,63,14020},{0,59,4652},{23,63,2500},{23,63,2500},{23,63,2500},{21,63,1037},{31,31,4418},
{17,63,2340},{17,63,2340},{1,62,4},{31,44,4418},{1,62,4},{31,62,4},{31,63,4},{31,63,4},{30,63,1},{31,62,4},{31,63,4},{30,63,1},{0,63,4},{31,63,4},{0,63,4},{11,0,9250},{11,0,9250},{11,0,9250},{11,0,9250},{6,63,1765},{6,63,1765},{6,63,1765},{3,59,2},{0,51,3816},{0,51,3816},{13,63,65535},{10,63,53236},{8,63,30487},{7,63,21105},{13,63,65535},{8,63,37332},{5,63,9177},
{4,63,36},{1,63,65535},{0,59,18680},{25,63,3443},{24,63,2741},{23,63,2248},{22,63,980},{31,44,5163},{21,63,3218},{20,63,2117},{3,63,1},{29,54,5163},{3,63,1},{15,63,17289},{15,63,17289},{15,63,17289},{13,63,12512},{12,63,14328},{9,63,7149},{9,63,7149},{4,63,20},{0,63,13376},{0,59,3944},{23,63,2248},{23,63,2248},{23,63,2248},{22,63,980},{31,34,3872},{20,63,2117},{20,63,2117},{3,63,1},{31,46,3872},
{3,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{12,0,9248},{12,0,9248},{12,0,9248},{12,0,9248},{7,63,1972},{7,63,1972},{7,63,1972},{4,61,5},{0,55,3488},{0,55,3488},{14,63,65535},{11,63,50266},{9,63,29322},{8,63,20567},{13,63,65535},{9,63,35025},{6,63,8985},{5,63,21},{2,63,65535},{0,59,14712},{26,63,2873},
{25,63,2283},{24,63,1825},{22,63,820},{29,52,4267},{22,63,2657},{20,63,1685},{5,63,1},{28,56,4267},{5,63,1},{16,63,16427},{16,63,16427},{16,63,16427},{14,63,12185},{13,63,13442},{10,63,6915},{10,63,6915},{5,63,5},{1,63,12539},{0,61,3314},{24,63,1825},{24,63,1825},{24,63,1825},{22,63,820},{31,37,3200},{20,63,1685},{20,63,1685},{5,63,1},{27,52,3200},{5,63,1},{31,63,0},{31,63,0},{31,63,0},
{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{13,0,9248},{13,0,9248},{13,0,9248},{13,0,9248},{8,63,2250},{8,63,2250},{8,63,2250},{5,63,5},{0,57,3170},{0,57,3170},{15,63,65535},{12,63,47239},{10,63,28065},{9,63,20104},{14,63,65535},{10,63,32574},{7,63,8839},{6,63,54},{3,63,64890},{0,61,10964},{26,63,2252},{25,63,1806},{25,63,1445},{23,63,650},{29,54,3361},
{23,63,2091},{21,63,1322},{8,63,0},{29,56,3361},{8,63,0},{17,63,15584},{17,63,15584},{17,63,15584},{15,63,11846},{14,63,12522},{11,63,6697},{11,63,6697},{6,63,50},{3,63,11669},{0,63,2834},{25,63,1445},{25,63,1445},{25,63,1445},{23,63,650},{31,40,2521},{21,63,1322},{21,63,1322},{8,63,0},{31,49,2521},{8,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},
{0,63,0},{31,63,0},{0,63,0},{14,0,9250},{14,0,9250},{14,0,9250},{14,0,9250},{9,63,2525},{9,63,2525},{9,63,2525},{6,63,50},{0,63,2834},{0,63,2834},{16,63,65535},{13,63,44559},{11,63,27000},{10,63,19705},{15,63,64179},{11,63,30525},{8,63,8677},{7,63,149},{3,63,60570},{0,61,8308},{27,63,1782},{26,63,1416},{25,63,1157},{24,63,520},{31,49,2646},{23,63,1691},{22,63,1040},{11,63,1},{30,56,2646},
{11,63,1},{18,63,14889},{18,63,14889},{18,63,14889},{16,63,11585},{15,63,11778},{12,63,6555},{12,63,6555},{7,63,145},{3,63,11061},{0,63,2610},{25,63,1157},{25,63,1157},{25,63,1157},{24,63,520},{31,42,1985},{22,63,1040},{22,63,1040},{11,63,1},{30,52,1985},{11,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{15,0,9250},
{15,0,9250},{15,0,9250},{15,0,9250},{10,63,2792},{10,63,2792},{10,63,2792},{7,63,145},{0,63,2610},{0,63,2610},{16,63,63318},{14,63,42019},{12,63,25930},{11,63,19324},{16,63,59178},{11,63,28845},{9,63,8605},{8,63,276},{6,63,56253},{0,61,6420},{27,63,1366},{27,63,1094},{26,63,872},{25,63,397},{31,51,2017},{25,63,1298},{23,63,794},{13,63,1},{31,56,2017},{13,63,1},{19,63,14244},{19,63,14244},{19,63,14244},
{17,63,11312},{16,63,11037},{13,63,6429},{13,63,6429},{8,63,260},{6,63,10457},{0,63,2642},{26,63,872},{26,63,872},{26,63,872},{25,63,397},{31,45,1513},{23,63,794},{23,63,794},{13,63,1},{31,52,1513},{13,63,1},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{16,0,9248},{16,0,9248},{16,0,9248},{16,0,9248},{12,63,3074},
{12,63,3074},{12,63,3074},{8,63,260},{0,63,2642},{0,63,2642},{17,63,58848},{15,63,39619},{13,63,24975},{12,63,19007},{16,63,54474},{13,63,27057},{10,63,8569},{9,63,461},{8,63,51302},{0,63,5046},{28,63,979},{27,63,806},{27,63,637},{26,63,292},{30,56,1473},{26,63,953},{24,63,605},{16,63,0},{30,58,1473},{16,63,0},{19,63,13604},{19,63,13604},{19,63,13604},{18,63,11057},{16,63,10429},{14,63,6339},{14,63,6339},
{10,63,424},{8,63,9713},{1,63,2900},{27,63,637},{27,63,637},{27,63,637},{26,63,292},{31,48,1105},{24,63,605},{24,63,605},{16,63,0},{31,54,1105},{16,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{31,63,0},{0,63,0},{31,63,0},{0,63,0},{17,0,9248},{17,0,9248},{17,0,9248},{17,0,9248},{12,63,3330},{12,63,3330},{12,63,3330},{10,63,424},{1,63,2900},
{1,63,2900},
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_transcoder_tables_pvrtc2_45.inc | {0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,1,35},{0,1,27},{0,1,18},{0,1,61},{0,1,52},{0,0,68},{0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,1,35},{0,1,27},{0,1,18},{0,1,61},{0,1,43},{0,1,61},{0,1,1},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,2,20},{0,1,18},{0,1,9},{0,1,36},{0,1,18},{0,1,36},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,4,56},{0,3,38},{0,2,52},
{0,2,36},{0,4,56},{0,3,35},{0,2,0},{0,2,52},{0,2,88},{0,1,78},{0,4,56},{0,3,38},{0,2,52},{0,2,36},{1,0,52},{0,3,35},{0,2,0},{0,2,52},{1,1,51},{0,2,52},{0,3,37},{0,3,37},{0,3,37},{0,2,36},{0,3,10},{0,2,0},{0,2,0},{0,1,5},{0,1,35},{0,1,14},{0,3,37},{0,3,37},{0,3,37},{0,2,36},{0,3,10},
{0,2,0},{0,2,0},{0,1,5},{1,0,16},{0,1,5},{1,1,18},{0,3,2},{0,2,16},{0,2,0},{1,1,18},{2,0,20},{0,2,0},{0,2,36},{2,0,20},{0,2,36},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,10},{0,1,10},{1,4,88},{1,3,78},{1,3,69},{1,3,77},{1,3,115},{0,4,88},{0,3,98},
{0,3,101},{0,4,72},{0,3,38},{1,4,24},{1,3,14},{1,3,5},{1,3,13},{1,3,51},{0,4,24},{0,3,34},{0,3,37},{3,0,52},{0,3,37},{1,3,69},{1,3,69},{1,3,69},{1,2,72},{1,2,72},{1,2,72},{1,2,72},{1,2,72},{0,3,11},{0,2,24},{1,3,5},{1,3,5},{1,3,5},{1,2,8},{1,2,8},{1,2,8},{1,2,8},{1,2,8},{1,2,8},
{1,2,8},{0,7,18},{1,3,10},{1,3,1},{0,3,9},{0,7,18},{1,3,18},{0,3,9},{0,3,36},{1,3,18},{0,3,36},{1,0,68},{1,0,68},{1,0,68},{1,0,68},{1,1,65},{1,1,65},{1,1,65},{0,3,65},{0,3,2},{0,3,2},{1,6,56},{1,5,38},{1,4,53},{1,4,37},{1,6,56},{1,5,35},{1,4,1},{1,4,66},{0,5,60},{0,4,70},{1,6,56},
{1,5,38},{1,4,53},{1,4,37},{0,9,51},{1,5,35},{1,4,1},{0,4,54},{2,3,51},{0,4,54},{1,5,37},{1,5,37},{1,5,37},{1,4,36},{1,5,10},{1,4,0},{1,4,0},{1,3,5},{0,5,11},{1,3,14},{1,5,37},{1,5,37},{1,5,37},{1,4,36},{0,8,8},{1,4,0},{1,4,0},{1,3,5},{4,0,8},{1,3,5},{2,3,18},{1,5,2},{1,4,17},
{1,4,1},{2,3,18},{4,1,18},{1,4,1},{0,4,50},{4,1,18},{0,4,50},{1,0,36},{1,0,36},{1,0,36},{1,0,36},{1,4,0},{1,4,0},{1,4,0},{1,3,1},{1,3,10},{1,3,10},{2,6,88},{2,5,78},{2,5,69},{2,5,77},{2,5,115},{2,5,107},{2,5,98},{1,5,117},{1,6,60},{1,5,36},{2,6,24},{2,5,14},{2,5,5},{2,5,13},{3,2,51},
{1,6,35},{2,5,34},{1,5,36},{1,6,51},{1,5,36},{2,5,69},{2,5,69},{2,5,69},{2,4,72},{2,4,72},{2,4,72},{2,4,72},{2,4,72},{1,5,16},{1,5,36},{2,5,5},{2,5,5},{2,5,5},{2,4,8},{3,1,8},{2,4,8},{2,4,8},{2,4,8},{3,3,8},{2,4,8},{3,3,20},{2,5,10},{2,5,1},{2,5,9},{3,3,20},{2,5,18},{2,5,9},
{0,5,36},{2,5,18},{0,5,36},{2,0,68},{2,0,68},{2,0,68},{2,0,68},{2,3,68},{2,3,68},{2,3,68},{2,4,68},{1,5,0},{1,5,0},{2,8,56},{2,7,38},{2,6,52},{2,6,36},{2,8,56},{2,7,35},{2,6,0},{2,6,52},{1,7,76},{1,6,70},{2,8,56},{2,7,38},{2,6,52},{2,6,36},{4,1,51},{2,7,35},{2,6,0},{1,6,45},{3,5,51},
{1,6,45},{2,7,37},{2,7,37},{2,7,37},{2,6,36},{2,7,10},{2,6,0},{2,6,0},{2,5,5},{1,7,12},{2,5,14},{2,7,37},{2,7,37},{2,7,37},{2,6,36},{4,0,8},{2,6,0},{2,6,0},{2,5,5},{1,7,8},{2,5,5},{3,5,18},{2,7,2},{2,6,16},{2,6,0},{3,5,18},{0,9,18},{2,6,0},{0,6,36},{0,9,18},{0,6,36},{2,0,36},
{2,0,36},{2,0,36},{2,0,36},{2,6,0},{2,6,0},{2,6,0},{2,5,1},{1,7,8},{1,7,8},{3,8,88},{3,7,78},{3,7,69},{3,7,77},{3,7,115},{2,8,88},{2,7,98},{2,7,101},{1,9,67},{2,7,38},{3,8,24},{3,7,14},{3,7,5},{3,7,13},{3,7,51},{2,8,24},{2,7,34},{2,7,37},{8,0,51},{2,7,37},{3,7,69},{3,7,69},{3,7,69},
{3,6,72},{3,6,72},{3,6,72},{3,6,72},{3,6,72},{2,7,11},{2,6,24},{3,7,5},{3,7,5},{3,7,5},{3,6,8},{3,6,8},{3,6,8},{3,6,8},{3,6,8},{3,6,8},{3,6,8},{5,1,18},{3,7,10},{3,7,1},{2,7,9},{5,1,18},{3,7,18},{2,7,9},{0,7,36},{3,7,18},{0,7,36},{3,0,68},{3,0,68},{3,0,68},{3,0,68},{3,5,65},
{3,5,65},{3,5,65},{2,7,65},{2,7,2},{2,7,2},{3,10,56},{3,9,38},{3,8,53},{3,8,37},{3,10,56},{3,9,35},{3,8,1},{3,8,66},{2,9,60},{2,8,70},{3,10,56},{3,9,38},{3,8,53},{3,8,37},{5,3,51},{3,9,35},{3,8,1},{2,8,54},{4,7,51},{2,8,54},{3,9,37},{3,9,37},{3,9,37},{3,8,36},{3,9,10},{3,8,0},{3,8,0},
{3,7,5},{2,9,11},{3,7,14},{3,9,37},{3,9,37},{3,9,37},{3,8,36},{5,2,8},{3,8,0},{3,8,0},{3,7,5},{8,1,8},{3,7,5},{4,7,18},{3,9,2},{3,8,17},{3,8,1},{4,7,18},{8,2,18},{3,8,1},{0,8,50},{8,2,18},{0,8,50},{3,0,36},{3,0,36},{3,0,36},{3,0,36},{3,8,0},{3,8,0},{3,8,0},{3,7,1},{3,7,10},
{3,7,10},{4,10,88},{4,9,78},{4,9,69},{4,9,77},{4,9,115},{4,9,107},{4,9,98},{3,9,117},{3,10,60},{3,9,36},{4,10,24},{4,9,14},{4,9,5},{4,9,13},{5,6,51},{3,10,35},{4,9,34},{3,9,36},{10,1,51},{3,9,36},{4,9,69},{4,9,69},{4,9,69},{4,8,72},{4,8,72},{4,8,72},{4,8,72},{4,8,72},{3,9,16},{3,9,36},{4,9,5},
{4,9,5},{4,9,5},{4,8,8},{5,5,8},{4,8,8},{4,8,8},{4,8,8},{5,7,8},{4,8,8},{7,0,18},{4,9,10},{4,9,1},{4,9,9},{7,0,18},{4,9,18},{4,9,9},{0,9,36},{4,9,18},{0,9,36},{4,0,68},{4,0,68},{4,0,68},{4,0,68},{4,7,68},{4,7,68},{4,7,68},{4,8,68},{3,9,0},{3,9,0},{4,12,56},{4,11,38},{4,10,52},
{4,10,36},{4,12,56},{4,11,35},{4,10,0},{4,10,52},{3,11,76},{3,10,70},{4,12,56},{4,11,38},{4,10,52},{4,10,36},{7,2,51},{4,11,35},{4,10,0},{3,10,45},{12,0,51},{3,10,45},{4,11,37},{4,11,37},{4,11,37},{4,10,36},{4,11,10},{4,10,0},{4,10,0},{4,9,5},{3,11,12},{4,9,14},{4,11,37},{4,11,37},{4,11,37},{4,10,36},{7,1,8},
{4,10,0},{4,10,0},{4,9,5},{10,2,8},{4,9,5},{5,9,18},{4,11,2},{4,10,16},{4,10,0},{5,9,18},{10,3,18},{4,10,0},{0,10,36},{10,3,18},{0,10,36},{4,0,36},{4,0,36},{4,0,36},{4,0,36},{4,10,0},{4,10,0},{4,10,0},{4,9,1},{3,11,8},{3,11,8},{5,12,88},{5,11,78},{5,11,69},{5,11,77},{5,11,115},{4,12,88},{4,11,98},
{4,11,101},{3,13,67},{4,11,38},{5,12,24},{5,11,14},{5,11,5},{5,11,13},{5,11,51},{4,12,24},{4,11,34},{4,11,37},{11,3,51},{4,11,37},{5,11,69},{5,11,69},{5,11,69},{5,10,72},{5,10,72},{5,10,72},{5,10,72},{5,10,72},{4,11,11},{4,10,24},{5,11,5},{5,11,5},{5,11,5},{5,10,8},{5,10,8},{5,10,8},{5,10,8},{5,10,8},{12,1,8},
{5,10,8},{8,0,18},{5,11,10},{5,11,1},{4,11,9},{8,0,18},{12,2,18},{4,11,9},{0,11,36},{12,2,18},{0,11,36},{5,0,68},{5,0,68},{5,0,68},{5,0,68},{5,9,65},{5,9,65},{5,9,65},{4,11,65},{4,11,2},{4,11,2},{5,14,56},{5,13,38},{5,12,53},{5,12,37},{5,14,56},{5,13,35},{5,12,1},{5,12,66},{4,13,60},{4,12,70},{5,14,56},
{5,13,38},{5,12,53},{5,12,37},{8,2,51},{5,13,35},{5,12,1},{4,12,54},{13,2,51},{4,12,54},{5,13,37},{5,13,37},{5,13,37},{5,12,36},{5,13,10},{5,12,0},{5,12,0},{5,11,5},{4,13,11},{5,11,14},{5,13,37},{5,13,37},{5,13,37},{5,12,36},{8,1,8},{5,12,0},{5,12,0},{5,11,5},{10,5,8},{5,11,5},{6,11,18},{5,13,2},{5,12,17},
{5,12,1},{6,11,18},{15,0,18},{5,12,1},{0,12,50},{15,0,18},{0,12,50},{5,0,36},{5,0,36},{5,0,36},{5,0,36},{5,12,0},{5,12,0},{5,12,0},{5,11,1},{5,11,10},{5,11,10},{6,14,88},{6,13,78},{6,13,69},{6,13,77},{6,13,115},{6,13,107},{6,13,98},{5,13,117},{5,14,60},{5,13,36},{6,14,24},{6,13,14},{6,13,5},{6,13,13},{8,5,51},
{5,14,35},{6,13,34},{5,13,36},{12,5,51},{5,13,36},{6,13,69},{6,13,69},{6,13,69},{6,12,72},{6,12,72},{6,12,72},{6,12,72},{6,12,72},{5,13,16},{5,13,36},{6,13,5},{6,13,5},{6,13,5},{6,12,8},{8,4,8},{6,12,8},{6,12,8},{6,12,8},{14,2,8},{6,12,8},{3,24,18},{6,13,10},{6,13,1},{6,13,9},{3,24,18},{14,3,18},{6,13,9},
{0,13,36},{14,3,18},{0,13,36},{6,0,68},{6,0,68},{6,0,68},{6,0,68},{6,11,68},{6,11,68},{6,11,68},{6,12,68},{5,13,0},{5,13,0},{6,16,56},{6,15,38},{6,14,52},{6,14,36},{6,16,56},{6,15,35},{6,14,0},{6,14,52},{5,15,76},{5,14,70},{6,16,56},{6,15,38},{6,14,52},{6,14,36},{3,26,51},{6,15,35},{6,14,0},{5,14,45},{15,3,51},
{5,14,45},{6,15,37},{6,15,37},{6,15,37},{6,14,36},{6,15,10},{6,14,0},{6,14,0},{6,13,5},{5,15,12},{6,13,14},{6,15,37},{6,15,37},{6,15,37},{6,14,36},{3,25,8},{6,14,0},{6,14,0},{6,13,5},{12,6,8},{6,13,5},{9,5,18},{6,15,2},{6,14,16},{6,14,0},{9,5,18},{12,7,18},{6,14,0},{0,14,36},{12,7,18},{0,14,36},{6,0,36},
{6,0,36},{6,0,36},{6,0,36},{6,14,0},{6,14,0},{6,14,0},{6,13,1},{5,15,8},{5,15,8},{7,16,88},{7,15,78},{7,15,69},{7,15,77},{7,15,115},{6,16,88},{6,15,98},{6,15,101},{5,17,67},{6,15,38},{7,16,24},{7,15,14},{7,15,5},{7,15,13},{11,0,51},{6,16,24},{6,15,34},{6,15,37},{13,7,51},{6,15,37},{7,15,69},{7,15,69},{7,15,69},
{7,14,72},{7,14,72},{7,14,72},{7,14,72},{7,14,72},{6,15,11},{6,14,24},{7,15,5},{7,15,5},{7,15,5},{7,14,8},{9,6,8},{7,14,8},{7,14,8},{7,14,8},{14,5,8},{7,14,8},{10,4,18},{7,15,10},{7,15,1},{6,15,9},{10,4,18},{14,6,18},{6,15,9},{0,15,36},{14,6,18},{0,15,36},{7,0,68},{7,0,68},{7,0,68},{7,0,68},{7,13,65},
{7,13,65},{7,13,65},{6,15,65},{6,15,2},{6,15,2},{7,18,56},{7,17,38},{7,16,53},{7,16,37},{7,18,56},{7,17,35},{7,16,1},{7,16,66},{6,17,60},{6,16,70},{7,18,56},{7,17,38},{7,16,53},{7,16,37},{10,6,51},{7,17,35},{7,16,1},{6,16,54},{15,6,51},{6,16,54},{7,17,37},{7,17,37},{7,17,37},{7,16,36},{7,17,10},{7,16,0},{7,16,0},
{7,15,5},{6,17,11},{7,15,14},{7,17,37},{7,17,37},{7,17,37},{7,16,36},{10,5,8},{7,16,0},{7,16,0},{7,15,5},{12,9,8},{7,15,5},{12,0,18},{7,17,2},{7,16,17},{7,16,1},{12,0,18},{12,10,18},{7,16,1},{0,16,50},{12,10,18},{0,16,50},{7,0,36},{7,0,36},{7,0,36},{7,0,36},{7,16,0},{7,16,0},{7,16,0},{7,15,1},{7,15,10},
{7,15,10},{7,21,326},{7,19,322},{8,17,392},{7,17,322},{7,21,137},{7,18,116},{7,17,133},{7,17,117},{7,18,60},{7,17,36},{8,16,118},{8,16,134},{8,17,136},{8,17,136},{10,9,51},{7,18,35},{7,17,52},{7,17,36},{14,9,51},{7,17,36},{7,20,307},{7,20,307},{7,20,307},{7,18,307},{7,20,91},{7,18,91},{7,18,91},{7,16,110},{7,17,16},{7,17,36},{8,15,101},
{8,15,101},{8,15,101},{8,16,101},{10,8,8},{7,18,10},{7,18,10},{7,16,29},{11,12,8},{7,16,29},{12,3,18},{7,19,16},{8,17,36},{7,17,16},{12,3,18},{11,13,18},{7,17,16},{0,17,36},{11,13,18},{0,17,36},{7,0,306},{7,0,306},{7,0,306},{7,0,306},{7,19,81},{7,19,81},{7,19,81},{7,17,81},{7,17,0},{7,17,0},{8,19,88},{8,18,78},{8,18,69},
{8,18,77},{8,18,115},{8,18,107},{8,18,98},{8,17,136},{7,19,76},{7,18,70},{8,19,24},{8,18,14},{8,18,5},{8,18,13},{9,15,51},{8,18,43},{8,18,34},{7,18,45},{5,22,51},{7,18,45},{8,18,69},{8,18,69},{8,18,69},{8,17,72},{8,17,72},{8,17,72},{8,17,72},{8,17,72},{7,19,12},{7,18,70},{8,18,5},{8,18,5},{8,18,5},{8,17,8},{9,14,8},
{8,17,8},{8,17,8},{8,17,8},{14,10,8},{8,17,8},{11,9,18},{8,18,10},{8,18,1},{8,18,9},{11,9,18},{14,11,18},{8,18,9},{0,18,36},{14,11,18},{0,18,36},{8,0,68},{8,0,68},{8,0,68},{8,0,68},{8,16,65},{8,16,65},{8,16,65},{8,17,68},{7,19,8},{7,19,8},{8,21,56},{8,20,38},{8,19,52},{8,19,36},{8,21,56},{8,20,35},{8,19,0},
{8,19,52},{7,21,67},{8,18,78},{8,21,56},{8,20,38},{8,19,52},{8,19,36},{13,4,51},{8,20,35},{8,19,0},{8,19,52},{15,11,51},{8,19,52},{8,20,37},{8,20,37},{8,20,37},{8,19,36},{8,20,10},{8,19,0},{8,19,0},{8,18,5},{8,18,35},{8,18,14},{8,20,37},{8,20,37},{8,20,37},{8,19,36},{11,10,8},{8,19,0},{8,19,0},{8,18,5},{5,23,8},
{8,18,5},{12,8,18},{8,20,2},{8,19,16},{8,19,0},{12,8,18},{11,16,18},{8,19,0},{0,19,36},{11,16,18},{0,19,36},{8,0,36},{8,0,36},{8,0,36},{8,0,36},{8,19,0},{8,19,0},{8,19,0},{8,18,1},{8,18,10},{8,18,10},{9,21,88},{9,20,78},{9,20,70},{9,20,78},{9,20,115},{8,21,88},{8,20,99},{8,20,115},{8,21,72},{8,20,52},{9,21,24},
{9,20,14},{9,20,6},{9,20,14},{15,0,51},{8,21,24},{8,20,35},{8,20,51},{12,16,51},{8,20,51},{9,20,69},{9,20,69},{9,20,69},{9,19,72},{9,19,72},{9,19,72},{9,19,72},{9,19,72},{8,20,11},{8,19,24},{9,20,5},{9,20,5},{9,20,5},{9,19,8},{12,9,8},{9,19,8},{9,19,8},{9,19,8},{14,13,8},{9,19,8},{14,4,18},{9,20,10},{9,20,2},
{8,20,10},{14,4,18},{14,14,18},{8,20,10},{0,20,50},{14,14,18},{0,20,50},{9,0,68},{9,0,68},{9,0,68},{9,0,68},{9,18,65},{9,18,65},{9,18,65},{8,20,65},{8,20,2},{8,20,2},{9,24,70},{9,22,58},{9,21,75},{9,21,51},{9,23,52},{9,22,25},{9,21,3},{9,21,46},{8,23,68},{8,21,70},{9,24,69},{9,22,57},{9,21,74},{9,21,50},{15,3,51},
{9,22,24},{9,21,2},{8,21,45},{11,19,51},{8,21,45},{9,23,51},{9,23,51},{9,23,51},{9,21,51},{9,22,9},{9,21,3},{9,21,3},{9,20,9},{8,22,12},{9,20,12},{9,23,50},{9,23,50},{9,23,50},{9,21,50},{15,2,8},{9,21,2},{9,21,2},{9,20,8},{13,16,8},{9,20,8},{14,7,18},{9,22,8},{9,21,25},{9,21,1},{14,7,18},{13,17,18},{9,21,1},
{0,21,36},{13,17,18},{0,21,36},{9,0,50},{9,0,50},{9,0,50},{9,0,50},{9,21,2},{9,21,2},{9,21,2},{9,20,5},{9,20,8},{9,20,8},{10,23,88},{10,22,78},{10,22,69},{10,22,77},{10,22,115},{10,22,107},{10,22,98},{9,22,117},{9,23,60},{9,22,36},{10,23,24},{10,22,14},{10,22,5},{10,22,13},{11,19,51},{9,23,35},{10,22,34},{9,22,36},{9,23,51},
{9,22,36},{10,22,69},{10,22,69},{10,22,69},{10,21,72},{10,21,72},{10,21,72},{10,21,72},{10,21,72},{9,22,16},{9,22,36},{10,22,5},{10,22,5},{10,22,5},{10,21,8},{11,18,8},{10,21,8},{10,21,8},{10,21,8},{10,21,8},{10,21,8},{13,13,18},{10,22,10},{10,22,1},{10,22,9},{13,13,18},{15,16,18},{10,22,9},{0,22,36},{15,16,18},{0,22,36},{10,0,68},
{10,0,68},{10,0,68},{10,0,68},{10,20,65},{10,20,65},{10,20,65},{10,21,68},{9,22,0},{9,22,0},{10,25,56},{10,24,38},{10,23,52},{10,23,36},{10,25,56},{10,24,35},{10,23,0},{10,23,52},{9,24,63},{9,23,70},{10,25,56},{10,24,38},{10,23,52},{10,23,36},{15,8,51},{10,24,35},{10,23,0},{9,23,45},{11,22,51},{9,23,45},{10,24,37},{10,24,37},{10,24,37},
{10,23,36},{10,24,10},{10,23,0},{10,23,0},{10,22,5},{9,24,14},{10,22,14},{10,24,37},{10,24,37},{10,24,37},{10,23,36},{13,14,8},{10,23,0},{10,23,0},{10,22,5},{8,25,8},{10,22,5},{14,12,18},{10,24,2},{10,23,16},{10,23,0},{14,12,18},{13,20,18},{10,23,0},{0,23,36},{13,20,18},{0,23,36},{10,0,36},{10,0,36},{10,0,36},{10,0,36},{10,23,0},
{10,23,0},{10,23,0},{10,22,1},{10,22,10},{10,22,10},{11,25,88},{11,24,78},{11,24,70},{11,24,78},{11,24,115},{10,25,88},{10,24,99},{10,24,115},{9,26,67},{10,24,52},{11,25,24},{11,24,14},{11,24,6},{11,24,14},{14,14,51},{10,25,24},{10,24,35},{10,24,51},{14,20,51},{10,24,51},{11,24,69},{11,24,69},{11,24,69},{11,23,72},{11,23,72},{11,23,72},{11,23,72},
{11,23,72},{10,24,11},{10,23,24},{11,24,5},{11,24,5},{11,24,5},{11,23,8},{14,13,8},{11,23,8},{11,23,8},{11,23,8},{11,23,8},{11,23,8},{13,18,18},{11,24,10},{11,24,2},{10,24,10},{13,18,18},{11,24,18},{10,24,10},{0,24,50},{11,24,18},{0,24,50},{11,0,68},{11,0,68},{11,0,68},{11,0,68},{11,22,65},{11,22,65},{11,22,65},{10,24,65},{10,24,2},
{10,24,2},{11,28,70},{11,26,58},{11,25,75},{11,25,51},{11,27,52},{11,26,25},{11,25,3},{11,25,46},{10,27,68},{10,25,70},{11,28,69},{11,26,57},{11,25,74},{11,25,50},{14,17,51},{11,26,24},{11,25,2},{10,25,45},{13,23,51},{10,25,45},{11,27,51},{11,27,51},{11,27,51},{11,25,51},{11,26,9},{11,25,3},{11,25,3},{11,24,9},{10,26,12},{11,24,12},{11,27,50},
{11,27,50},{11,27,50},{11,25,50},{14,16,8},{11,25,2},{11,25,2},{11,24,8},{15,20,8},{11,24,8},{13,21,18},{11,26,8},{11,25,25},{11,25,1},{13,21,18},{15,21,18},{11,25,1},{0,25,36},{15,21,18},{0,25,36},{11,0,50},{11,0,50},{11,0,50},{11,0,50},{11,25,2},{11,25,2},{11,25,2},{11,24,5},{11,24,8},{11,24,8},{12,27,88},{12,26,78},{12,26,69},
{12,26,77},{12,26,115},{12,26,107},{12,26,98},{11,26,117},{11,27,60},{11,26,36},{12,27,24},{12,26,14},{12,26,5},{12,26,13},{13,23,51},{11,27,35},{12,26,34},{11,26,36},{11,27,51},{11,26,36},{12,26,69},{12,26,69},{12,26,69},{12,25,72},{12,25,72},{12,25,72},{12,25,72},{12,25,72},{11,26,16},{11,26,36},{12,26,5},{12,26,5},{12,26,5},{12,25,8},{13,22,8},
{12,25,8},{12,25,8},{12,25,8},{12,25,8},{12,25,8},{15,17,18},{12,26,10},{12,26,1},{12,26,9},{15,17,18},{12,26,18},{12,26,9},{0,26,36},{12,26,18},{0,26,36},{12,0,68},{12,0,68},{12,0,68},{12,0,68},{12,24,65},{12,24,65},{12,24,65},{12,25,68},{11,26,0},{11,26,0},{12,29,56},{12,28,38},{12,27,52},{12,27,36},{12,29,56},{12,28,35},{12,27,0},
{12,27,52},{11,28,63},{11,27,70},{12,29,56},{12,28,38},{12,27,52},{12,27,36},{15,19,51},{12,28,35},{12,27,0},{11,27,45},{13,26,51},{11,27,45},{12,28,37},{12,28,37},{12,28,37},{12,27,36},{12,28,10},{12,27,0},{12,27,0},{12,26,5},{11,28,14},{12,26,14},{12,28,37},{12,28,37},{12,28,37},{12,27,36},{15,18,8},{12,27,0},{12,27,0},{12,26,5},{10,29,8},
{12,26,5},{13,26,18},{12,28,2},{12,27,16},{12,27,0},{13,26,18},{15,24,18},{12,27,0},{0,27,36},{15,24,18},{0,27,36},{12,0,36},{12,0,36},{12,0,36},{12,0,36},{12,27,0},{12,27,0},{12,27,0},{12,26,1},{12,26,10},{12,26,10},{13,29,88},{13,28,78},{13,28,70},{13,28,78},{13,28,115},{12,29,88},{12,28,99},{12,28,115},{11,30,67},{12,28,52},{13,29,24},
{13,28,14},{13,28,6},{13,28,14},{13,28,51},{12,29,24},{12,28,35},{12,28,51},{11,30,51},{12,28,51},{13,28,69},{13,28,69},{13,28,69},{13,27,72},{13,27,72},{13,27,72},{13,27,72},{13,27,72},{12,28,11},{12,27,24},{13,28,5},{13,28,5},{13,28,5},{13,27,8},{13,27,8},{13,27,8},{13,27,8},{13,27,8},{13,27,8},{13,27,8},{15,22,18},{13,28,10},{13,28,2},
{12,28,10},{15,22,18},{13,28,18},{12,28,10},{0,28,50},{13,28,18},{0,28,50},{13,0,68},{13,0,68},{13,0,68},{13,0,68},{13,26,65},{13,26,65},{13,26,65},{12,28,65},{12,28,2},{12,28,2},{13,31,76},{13,30,58},{13,29,75},{13,29,51},{13,31,52},{13,30,25},{13,29,3},{13,29,46},{12,31,68},{12,29,70},{13,31,75},{13,30,57},{13,29,74},{13,29,50},{13,31,51},
{13,30,24},{13,29,2},{12,29,45},{15,27,51},{12,29,45},{13,31,51},{13,31,51},{13,31,51},{13,29,51},{13,30,9},{13,29,3},{13,29,3},{13,28,9},{12,30,12},{13,28,12},{13,31,50},{13,31,50},{13,31,50},{13,29,50},{13,30,8},{13,29,2},{13,29,2},{13,28,8},{12,30,8},{13,28,8},{15,25,18},{13,30,8},{13,29,25},{13,29,1},{15,25,18},{12,31,18},{13,29,1},
{0,29,36},{12,31,18},{0,29,36},{13,0,50},{13,0,50},{13,0,50},{13,0,50},{13,29,2},{13,29,2},{13,29,2},{13,28,5},{13,28,8},{13,28,8},{14,31,88},{14,30,78},{14,30,69},{14,30,77},{14,30,115},{14,30,107},{14,30,98},{13,30,117},{13,31,60},{13,30,36},{14,31,24},{14,30,14},{14,30,5},{14,30,13},{15,27,51},{13,31,35},{14,30,34},{13,30,36},{13,31,51},
{13,30,36},{14,30,69},{14,30,69},{14,30,69},{14,29,72},{14,29,72},{14,29,72},{14,29,72},{14,29,72},{13,30,16},{13,30,36},{14,30,5},{14,30,5},{14,30,5},{14,29,8},{15,26,8},{14,29,8},{14,29,8},{14,29,8},{14,29,8},{14,29,8},{14,31,20},{14,30,10},{14,30,1},{14,30,9},{14,31,20},{14,30,18},{14,30,9},{0,30,36},{14,30,18},{0,30,36},{14,0,68},
{14,0,68},{14,0,68},{14,0,68},{14,28,65},{14,28,65},{14,28,65},{14,29,68},{13,30,0},{13,30,0},{14,31,152},{14,31,88},{14,31,52},{14,31,36},{14,31,116},{14,31,36},{14,31,0},{14,31,52},{14,31,88},{13,31,70},{15,30,118},{14,31,88},{14,31,52},{14,31,36},{15,29,52},{14,31,36},{14,31,0},{13,31,45},{15,30,51},{13,31,45},{14,31,52},{14,31,52},{14,31,52},
{14,31,36},{14,31,16},{14,31,0},{14,31,0},{14,30,5},{14,30,35},{14,30,14},{14,31,52},{14,31,52},{14,31,52},{14,31,36},{15,28,10},{14,31,0},{14,31,0},{14,30,5},{15,29,16},{14,30,5},{15,30,18},{15,30,34},{14,31,16},{14,31,0},{15,30,18},{15,30,26},{14,31,0},{0,31,36},{15,30,26},{0,31,36},{14,0,36},{14,0,36},{14,0,36},{14,0,36},{14,31,0},
{14,31,0},{14,31,0},{14,30,1},{14,30,10},{14,30,10},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{14,31,20},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},{15,31,68},
{15,31,68},{14,31,56},{14,31,20},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{15,0,68},{15,0,68},{15,0,68},{15,0,68},{15,30,65},{15,30,65},{15,30,65},{15,31,68},{14,31,20},
{14,31,20},{0,4,74},{0,3,20},{0,2,2},{0,2,26},{0,2,158},{0,2,110},{0,2,62},{0,1,115},{0,1,178},{0,1,124},{0,4,74},{0,3,20},{0,2,2},{0,2,26},{0,2,158},{0,2,110},{0,2,62},{0,1,115},{1,0,158},{0,1,115},{0,2,1},{0,2,1},{0,2,1},{0,1,0},{0,1,13},{0,1,9},{0,1,9},{0,0,25},{0,0,25},{0,0,25},{0,2,1},
{0,2,1},{0,2,1},{0,1,0},{0,1,13},{0,1,9},{0,1,9},{0,0,25},{0,0,25},{0,0,25},{1,0,74},{0,3,20},{0,2,2},{0,2,26},{1,0,74},{1,1,72},{0,2,26},{0,1,90},{1,1,72},{0,1,90},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,6,83},{0,5,13},{0,3,26},
{0,3,14},{0,5,248},{0,3,140},{0,3,41},{0,2,139},{0,2,319},{0,2,175},{0,6,83},{0,5,13},{0,3,26},{0,3,14},{1,1,244},{0,3,140},{0,3,41},{0,2,139},{0,3,248},{0,2,139},{0,4,10},{0,4,10},{0,4,10},{0,3,13},{0,3,52},{0,2,18},{0,2,18},{0,1,29},{0,1,77},{0,1,38},{0,4,10},{0,4,10},{0,4,10},{0,3,13},{0,3,52},
{0,2,18},{0,2,18},{0,1,29},{1,0,58},{0,1,29},{1,3,72},{0,5,4},{0,3,17},{0,3,5},{1,3,72},{3,0,74},{0,3,5},{0,2,90},{3,0,74},{0,2,90},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,0},{0,1,0},{0,1,0},{0,1,4},{0,0,9},{0,0,9},{0,9,193},{0,7,125},{0,4,202},{0,4,122},{0,7,244},{0,5,96},{0,4,2},
{0,3,106},{0,4,395},{0,3,187},{1,6,99},{1,5,45},{1,4,26},{1,4,50},{1,4,243},{0,5,96},{0,4,2},{0,3,106},{2,2,243},{0,3,106},{0,7,121},{0,7,121},{0,7,121},{0,4,122},{0,5,52},{0,4,2},{0,4,2},{0,3,25},{0,3,133},{0,2,62},{1,4,26},{1,4,26},{1,4,26},{1,3,25},{1,2,50},{0,4,2},{0,4,2},{0,3,25},{1,2,50},
{0,3,25},{0,9,72},{0,7,4},{1,4,1},{0,4,1},{0,9,72},{2,3,72},{0,4,1},{0,3,90},{2,3,72},{0,3,90},{0,0,121},{0,0,121},{0,0,121},{0,0,121},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,37},{0,2,37},{1,8,164},{1,7,94},{1,5,106},{1,5,94},{0,10,292},{0,7,125},{0,5,81},{0,4,130},{0,6,364},{0,4,106},{1,8,83},
{1,7,13},{1,5,25},{1,5,13},{3,0,243},{0,7,76},{0,5,32},{0,4,81},{5,0,243},{0,4,81},{1,6,91},{1,6,91},{1,6,91},{1,5,94},{0,8,99},{0,6,51},{0,6,51},{0,4,66},{0,4,107},{0,4,42},{1,6,10},{1,6,10},{1,6,10},{1,5,13},{0,8,50},{0,6,2},{0,6,2},{0,4,17},{4,0,50},{0,4,17},{3,2,74},{1,7,4},{1,5,16},
{1,5,4},{3,2,74},{5,1,72},{1,5,4},{0,4,80},{5,1,72},{0,4,80},{1,0,90},{1,0,90},{1,0,90},{1,0,90},{0,6,50},{0,6,50},{0,6,50},{0,4,50},{0,3,20},{0,3,20},{1,11,218},{1,9,149},{1,7,242},{1,6,149},{1,10,248},{1,7,99},{1,6,5},{1,5,99},{0,7,308},{0,5,100},{2,8,99},{2,7,45},{2,6,27},{2,6,51},{3,3,243},
{0,9,81},{1,6,5},{0,5,99},{4,3,243},{0,5,99},{1,9,145},{1,9,145},{1,9,145},{1,6,148},{1,8,52},{1,6,4},{1,6,4},{1,5,18},{0,6,72},{0,5,19},{2,6,26},{2,6,26},{2,6,26},{2,5,25},{3,1,50},{1,6,4},{1,6,4},{0,5,18},{3,3,50},{0,5,18},{4,1,72},{1,9,5},{2,6,2},{1,6,5},{4,1,72},{3,5,72},{1,6,5},
{0,5,90},{3,5,72},{0,5,90},{1,0,144},{1,0,144},{1,0,144},{1,0,144},{1,6,0},{1,6,0},{1,6,0},{1,4,4},{0,6,8},{0,6,8},{2,10,164},{2,9,94},{2,7,107},{2,7,95},{1,12,307},{1,9,137},{1,7,115},{1,6,154},{0,9,253},{1,6,106},{2,10,83},{2,9,13},{2,7,26},{2,7,14},{4,2,243},{1,9,73},{2,7,41},{1,6,90},{6,2,243},
{1,6,90},{2,8,91},{2,8,91},{2,8,91},{2,7,94},{1,10,116},{1,8,69},{1,8,69},{1,6,73},{0,8,50},{1,6,25},{2,8,10},{2,8,10},{2,8,10},{2,7,13},{4,0,50},{1,8,5},{1,8,5},{1,6,9},{1,7,50},{1,6,9},{3,7,72},{2,9,4},{2,7,17},{2,7,5},{3,7,72},{8,0,72},{2,7,5},{0,6,90},{8,0,72},{0,6,90},{2,0,90},
{2,0,90},{2,0,90},{2,0,90},{1,9,65},{1,9,65},{1,9,65},{1,6,64},{0,7,10},{0,7,10},{2,13,194},{2,11,126},{2,8,203},{2,8,123},{2,11,245},{2,9,97},{2,8,3},{2,7,107},{0,11,249},{1,7,100},{3,10,99},{3,9,45},{3,8,26},{3,8,50},{3,8,243},{1,11,81},{2,8,2},{1,7,99},{4,6,243},{1,7,99},{2,11,122},{2,11,122},{2,11,122},
{2,8,123},{2,9,53},{2,8,3},{2,8,3},{2,7,26},{1,8,62},{1,7,19},{3,8,26},{3,8,26},{3,8,26},{3,7,25},{3,6,50},{2,8,2},{2,8,2},{1,7,18},{3,6,50},{1,7,18},{5,3,72},{2,11,4},{3,8,1},{2,8,1},{5,3,72},{4,7,72},{2,8,1},{0,7,90},{4,7,72},{0,7,90},{2,0,122},{2,0,122},{2,0,122},{2,0,122},{2,8,2},
{2,8,2},{2,8,2},{2,6,2},{1,7,10},{1,7,10},{3,12,164},{3,11,94},{3,9,106},{3,9,94},{2,14,292},{2,11,125},{2,9,81},{2,8,130},{1,11,253},{2,8,106},{3,12,83},{3,11,13},{3,9,25},{3,9,13},{5,4,243},{2,11,76},{2,9,32},{2,8,81},{9,1,243},{2,8,81},{3,10,91},{3,10,91},{3,10,91},{3,9,94},{2,12,99},{2,10,51},{2,10,51},
{2,8,66},{1,10,50},{2,8,42},{3,10,10},{3,10,10},{3,10,10},{3,9,13},{5,2,50},{2,10,2},{2,10,2},{2,8,17},{8,1,50},{2,8,17},{1,19,72},{3,11,4},{3,9,16},{3,9,4},{1,19,72},{9,2,72},{3,9,4},{0,8,80},{9,2,72},{0,8,80},{3,0,90},{3,0,90},{3,0,90},{3,0,90},{2,10,50},{2,10,50},{2,10,50},{2,8,50},{1,9,9},
{1,9,9},{3,15,218},{3,13,149},{3,11,242},{3,10,149},{3,14,248},{3,11,99},{3,10,5},{3,9,99},{1,13,244},{2,9,100},{4,12,99},{4,11,45},{4,10,27},{4,10,51},{5,7,243},{2,13,81},{3,10,5},{2,9,99},{6,7,243},{2,9,99},{3,13,145},{3,13,145},{3,13,145},{3,10,148},{3,12,52},{3,10,4},{3,10,4},{3,9,18},{1,12,56},{2,9,19},{4,10,26},
{4,10,26},{4,10,26},{4,9,25},{5,5,50},{3,10,4},{3,10,4},{2,9,18},{5,7,50},{2,9,18},{7,2,72},{3,13,5},{4,10,2},{3,10,5},{7,2,72},{12,0,72},{3,10,5},{0,9,90},{12,0,72},{0,9,90},{3,0,144},{3,0,144},{3,0,144},{3,0,144},{3,10,0},{3,10,0},{3,10,0},{3,8,4},{2,10,8},{2,10,8},{4,14,164},{4,13,94},{4,11,107},
{4,11,95},{3,16,307},{3,13,137},{3,11,115},{3,10,154},{2,13,253},{3,10,106},{4,14,83},{4,13,13},{4,11,26},{4,11,14},{7,3,243},{3,13,73},{4,11,41},{3,10,90},{11,2,243},{3,10,90},{4,12,91},{4,12,91},{4,12,91},{4,11,94},{3,14,116},{3,12,69},{3,12,69},{3,10,73},{2,12,50},{3,10,25},{4,12,10},{4,12,10},{4,12,10},{4,11,13},{7,1,50},
{3,12,5},{3,12,5},{3,10,9},{10,2,50},{3,10,9},{5,11,72},{4,13,4},{4,11,17},{4,11,5},{5,11,72},{11,3,72},{4,11,5},{0,10,90},{11,3,72},{0,10,90},{4,0,90},{4,0,90},{4,0,90},{4,0,90},{3,13,65},{3,13,65},{3,13,65},{3,10,64},{2,11,10},{2,11,10},{4,17,194},{4,15,126},{4,12,203},{4,12,123},{4,15,245},{4,13,97},{4,12,3},
{4,11,107},{2,15,249},{3,11,100},{5,14,99},{5,13,45},{5,12,26},{5,12,50},{5,12,243},{3,15,81},{4,12,2},{3,11,99},{13,1,243},{3,11,99},{4,15,122},{4,15,122},{4,15,122},{4,12,123},{4,13,53},{4,12,3},{4,12,3},{4,11,26},{3,12,62},{3,11,19},{5,12,26},{5,12,26},{5,12,26},{5,11,25},{5,10,50},{4,12,2},{4,12,2},{3,11,18},{12,1,50},
{3,11,18},{8,2,72},{4,15,4},{5,12,1},{4,12,1},{8,2,72},{13,2,72},{4,12,1},{0,11,90},{13,2,72},{0,11,90},{4,0,122},{4,0,122},{4,0,122},{4,0,122},{4,12,2},{4,12,2},{4,12,2},{4,10,2},{3,11,10},{3,11,10},{5,16,164},{5,15,94},{5,13,106},{5,13,94},{4,18,292},{4,15,125},{4,13,81},{4,12,130},{3,15,253},{4,12,106},{5,16,83},
{5,15,13},{5,13,25},{5,13,13},{8,3,243},{4,15,76},{4,13,32},{4,12,81},{11,5,243},{4,12,81},{5,14,91},{5,14,91},{5,14,91},{5,13,94},{4,16,99},{4,14,51},{4,14,51},{4,12,66},{3,14,50},{4,12,42},{5,14,10},{5,14,10},{5,14,10},{5,13,13},{8,1,50},{4,14,2},{4,14,2},{4,12,17},{10,5,50},{4,12,17},{3,23,72},{5,15,4},{5,13,16},
{5,13,4},{3,23,72},{11,6,72},{5,13,4},{0,12,80},{11,6,72},{0,12,80},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{4,14,50},{4,14,50},{4,14,50},{4,12,50},{3,13,9},{3,13,9},{5,19,218},{5,17,149},{5,15,242},{5,14,149},{5,18,248},{5,15,99},{5,14,5},{5,13,99},{3,17,244},{4,13,100},{6,16,99},{6,15,45},{6,14,27},{6,14,51},{8,6,243},
{4,17,81},{5,14,5},{4,13,99},{15,2,243},{4,13,99},{5,17,145},{5,17,145},{5,17,145},{5,14,148},{5,16,52},{5,14,4},{5,14,4},{5,13,18},{3,16,56},{4,13,19},{6,14,26},{6,14,26},{6,14,26},{6,13,25},{8,4,50},{5,14,4},{5,14,4},{4,13,18},{14,2,50},{4,13,18},{3,26,72},{5,17,5},{6,14,2},{5,14,5},{3,26,72},{15,3,72},{5,14,5},
{0,13,90},{15,3,72},{0,13,90},{5,0,144},{5,0,144},{5,0,144},{5,0,144},{5,14,0},{5,14,0},{5,14,0},{5,12,4},{4,14,8},{4,14,8},{6,18,164},{6,17,94},{6,15,107},{6,15,95},{5,20,307},{5,17,137},{5,15,115},{5,14,154},{4,17,253},{5,14,106},{6,18,83},{6,17,13},{6,15,26},{6,15,14},{5,20,243},{5,17,73},{6,15,41},{5,14,90},{13,6,243},
{5,14,90},{6,16,91},{6,16,91},{6,16,91},{6,15,94},{5,18,116},{5,16,69},{5,16,69},{5,14,73},{4,16,50},{5,14,25},{6,16,10},{6,16,10},{6,16,10},{6,15,13},{3,25,50},{5,16,5},{5,16,5},{5,14,9},{12,6,50},{5,14,9},{11,0,72},{6,17,4},{6,15,17},{6,15,5},{11,0,72},{13,7,72},{6,15,5},{0,14,90},{13,7,72},{0,14,90},{6,0,90},
{6,0,90},{6,0,90},{6,0,90},{5,17,65},{5,17,65},{5,17,65},{5,14,64},{4,15,10},{4,15,10},{6,21,194},{6,19,126},{6,16,203},{6,16,123},{6,19,245},{6,17,97},{6,16,3},{6,15,107},{4,19,249},{5,15,100},{7,18,99},{7,17,45},{7,16,26},{7,16,50},{11,1,243},{5,19,81},{6,16,2},{5,15,99},{15,5,243},{5,15,99},{6,19,122},{6,19,122},{6,19,122},
{6,16,123},{6,17,53},{6,16,3},{6,16,3},{6,15,26},{5,16,62},{5,15,19},{7,16,26},{7,16,26},{7,16,26},{7,15,25},{9,6,50},{6,16,2},{6,16,2},{5,15,18},{14,5,50},{5,15,18},{10,6,72},{6,19,4},{7,16,1},{6,16,1},{10,6,72},{15,6,72},{6,16,1},{0,15,90},{15,6,72},{0,15,90},{6,0,122},{6,0,122},{6,0,122},{6,0,122},{6,16,2},
{6,16,2},{6,16,2},{6,14,2},{5,15,10},{5,15,10},{7,20,164},{7,19,94},{7,17,106},{7,17,94},{6,22,292},{6,19,125},{6,17,81},{6,16,130},{5,19,253},{6,16,106},{7,20,83},{7,19,13},{7,17,25},{7,17,13},{10,7,243},{6,19,76},{6,17,32},{6,16,81},{13,9,243},{6,16,81},{7,18,91},{7,18,91},{7,18,91},{7,17,94},{6,20,99},{6,18,51},{6,18,51},
{6,16,66},{5,18,50},{6,16,42},{7,18,10},{7,18,10},{7,18,10},{7,17,13},{10,5,50},{6,18,2},{6,18,2},{6,16,17},{12,9,50},{6,16,17},{12,2,72},{7,19,4},{7,17,16},{7,17,4},{12,2,72},{13,10,72},{7,17,4},{0,16,80},{13,10,72},{0,16,80},{7,0,90},{7,0,90},{7,0,90},{7,0,90},{6,18,50},{6,18,50},{6,18,50},{6,16,50},{5,17,9},
{5,17,9},{7,23,218},{7,21,149},{7,19,242},{7,18,149},{7,22,248},{7,19,99},{7,18,5},{7,17,99},{5,21,244},{6,17,100},{7,23,218},{7,21,149},{8,18,206},{7,18,149},{13,0,243},{6,21,81},{7,18,5},{6,17,99},{5,21,243},{6,17,99},{7,21,145},{7,21,145},{7,21,145},{7,18,148},{7,20,52},{7,18,4},{7,18,4},{7,17,18},{5,20,56},{6,17,19},{7,21,145},
{7,21,145},{7,21,145},{7,18,148},{10,8,50},{7,18,4},{7,18,4},{6,17,18},{11,12,50},{6,17,18},{9,15,72},{7,21,5},{8,18,37},{7,18,5},{9,15,72},{5,22,72},{7,18,5},{0,17,90},{5,22,72},{0,17,90},{7,0,144},{7,0,144},{7,0,144},{7,0,144},{7,18,0},{7,18,0},{7,18,0},{7,16,4},{6,18,8},{6,18,8},{8,21,388},{8,20,334},{8,19,316},
{8,19,340},{7,24,307},{7,21,137},{7,19,115},{7,18,154},{6,21,253},{7,18,106},{8,21,99},{8,20,45},{8,19,27},{8,19,51},{8,19,243},{7,21,73},{7,19,51},{7,18,90},{15,10,243},{7,18,90},{8,19,315},{8,19,315},{8,19,315},{8,18,314},{7,22,116},{7,20,69},{7,20,69},{7,18,73},{6,20,50},{7,18,25},{8,19,26},{8,19,26},{8,19,26},{8,18,25},{9,14,50},
{7,20,5},{7,20,5},{7,18,9},{14,10,50},{7,18,9},{13,4,72},{8,20,20},{8,19,2},{7,19,26},{13,4,72},{15,11,72},{7,19,26},{0,18,90},{15,11,72},{0,18,90},{8,0,314},{8,0,314},{8,0,314},{8,0,314},{7,21,65},{7,21,65},{7,21,65},{7,18,64},{6,19,10},{6,19,10},{8,23,164},{8,22,94},{8,20,106},{8,20,94},{8,22,329},{8,20,221},{8,20,121},
{8,19,220},{6,23,249},{7,19,100},{8,23,83},{8,22,13},{8,20,25},{8,20,13},{13,5,243},{7,23,81},{8,20,40},{7,19,99},{12,15,243},{7,19,99},{8,21,91},{8,21,91},{8,21,91},{8,20,94},{8,20,133},{8,19,99},{8,19,99},{8,18,110},{7,20,62},{7,19,19},{8,21,10},{8,21,10},{8,21,10},{8,20,13},{11,10,50},{8,19,18},{8,19,18},{7,19,18},{5,23,50},
{7,19,18},{15,0,72},{8,22,4},{8,20,16},{8,20,4},{15,0,72},{12,16,72},{8,20,4},{0,19,90},{12,16,72},{0,19,90},{8,0,90},{8,0,90},{8,0,90},{8,0,90},{8,18,81},{8,18,81},{8,18,81},{8,18,85},{7,19,10},{7,19,10},{8,26,194},{8,24,131},{8,21,203},{8,21,123},{8,24,245},{8,22,97},{8,21,3},{8,20,97},{7,23,253},{7,20,141},{9,23,99},
{9,22,45},{9,21,26},{9,21,50},{15,1,243},{8,22,96},{8,21,2},{8,20,96},{15,13,243},{8,20,96},{8,24,122},{8,24,122},{8,24,122},{8,21,123},{8,22,53},{8,21,3},{8,21,3},{8,19,27},{7,22,50},{8,19,75},{9,21,26},{9,21,26},{9,21,26},{9,20,25},{12,9,50},{8,21,2},{8,21,2},{8,19,26},{14,13,50},{8,19,26},{14,6,72},{8,24,9},{9,21,1},
{8,21,1},{14,6,72},{15,14,72},{8,21,1},{0,20,80},{15,14,72},{0,20,80},{8,0,122},{8,0,122},{8,0,122},{8,0,122},{8,21,2},{8,21,2},{8,21,2},{8,19,2},{7,21,9},{7,21,9},{9,26,154},{9,24,81},{9,22,106},{9,22,82},{9,24,307},{8,24,137},{9,22,91},{8,21,154},{7,25,244},{8,21,106},{9,26,90},{9,24,17},{9,22,42},{9,22,18},{15,4,243},
{8,24,73},{9,22,27},{8,21,90},{9,22,243},{8,21,90},{9,24,81},{9,24,81},{9,24,81},{9,22,81},{9,22,114},{8,23,68},{8,23,68},{8,21,73},{7,24,56},{8,21,25},{9,24,17},{9,24,17},{9,24,17},{9,22,17},{15,2,50},{8,23,4},{8,23,4},{8,21,9},{13,16,50},{8,21,9},{11,19,72},{9,24,1},{9,22,26},{9,22,2},{11,19,72},{9,23,72},{9,22,2},
{0,21,90},{9,23,72},{0,21,90},{9,0,80},{9,0,80},{9,0,80},{9,0,80},{9,20,65},{9,20,65},{9,20,65},{8,21,64},{8,21,16},{8,21,16},{9,28,216},{9,26,149},{9,23,245},{9,23,149},{9,27,248},{9,24,89},{9,23,5},{9,22,99},{7,27,260},{8,22,100},{10,25,99},{10,24,45},{10,23,27},{10,23,51},{10,23,243},{8,26,81},{9,23,5},{8,22,99},{11,21,243},
{8,22,99},{9,26,145},{9,26,145},{9,26,145},{9,23,148},{9,25,52},{9,23,4},{9,23,4},{9,22,18},{8,23,72},{8,22,19},{10,23,26},{10,23,26},{10,23,26},{10,22,25},{11,18,50},{9,23,4},{9,23,4},{8,22,18},{10,21,50},{8,22,18},{15,8,72},{9,26,5},{10,23,2},{9,23,5},{15,8,72},{11,22,72},{9,23,5},{0,22,90},{11,22,72},{0,22,90},{9,0,144},
{9,0,144},{9,0,144},{9,0,144},{9,23,0},{9,23,0},{9,23,0},{9,21,4},{8,23,8},{8,23,8},{10,27,164},{10,26,94},{10,24,106},{10,24,94},{9,29,307},{9,26,137},{9,24,105},{9,23,154},{8,26,253},{9,23,106},{10,27,83},{10,26,13},{10,24,25},{10,24,13},{15,9,243},{9,26,73},{10,24,40},{9,23,90},{14,19,243},{9,23,90},{10,25,91},{10,25,91},{10,25,91},
{10,24,94},{9,27,116},{9,25,69},{9,25,69},{9,23,73},{8,25,50},{9,23,25},{10,25,10},{10,25,10},{10,25,10},{10,24,13},{13,14,50},{9,25,5},{9,25,5},{9,23,9},{8,25,50},{9,23,9},{14,14,72},{10,26,4},{10,24,16},{10,24,4},{14,14,72},{14,20,72},{10,24,4},{0,23,90},{14,20,72},{0,23,90},{10,0,90},{10,0,90},{10,0,90},{10,0,90},{9,26,65},
{9,26,65},{9,26,65},{9,23,64},{8,24,9},{8,24,9},{10,30,194},{10,28,131},{10,25,203},{10,25,123},{10,28,245},{10,26,97},{10,25,3},{10,24,97},{8,28,252},{9,24,85},{11,27,99},{11,26,45},{11,25,26},{11,25,50},{14,15,243},{9,28,80},{10,25,2},{9,24,84},{12,23,243},{9,24,84},{10,28,122},{10,28,122},{10,28,122},{10,25,123},{10,26,53},{10,25,3},{10,25,3},
{10,23,27},{9,25,62},{9,24,21},{11,25,26},{11,25,26},{11,25,26},{11,24,25},{14,13,50},{10,25,2},{10,25,2},{9,24,20},{11,23,50},{9,24,20},{13,20,72},{10,28,9},{11,25,1},{10,25,1},{13,20,72},{13,23,74},{10,25,1},{0,24,80},{13,23,74},{0,24,80},{10,0,122},{10,0,122},{10,0,122},{10,0,122},{10,25,2},{10,25,2},{10,25,2},{10,23,2},{9,24,5},
{9,24,5},{11,30,154},{11,28,81},{11,26,106},{11,26,82},{11,28,307},{10,28,137},{11,26,91},{10,25,154},{9,28,260},{10,25,106},{11,30,90},{11,28,17},{11,26,42},{11,26,18},{14,18,243},{10,28,73},{11,26,27},{10,25,90},{11,26,243},{10,25,90},{11,28,81},{11,28,81},{11,28,81},{11,26,81},{11,26,114},{10,27,68},{10,27,68},{10,25,73},{9,27,53},{10,25,25},{11,28,17},
{11,28,17},{11,28,17},{11,26,17},{14,16,50},{10,27,4},{10,27,4},{10,25,9},{15,20,50},{10,25,9},{13,23,72},{11,28,1},{11,26,26},{11,26,2},{13,23,72},{11,27,72},{11,26,2},{0,25,90},{11,27,72},{0,25,90},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{11,24,65},{11,24,65},{11,24,65},{10,25,64},{10,25,16},{10,25,16},{11,31,248},{11,30,149},{11,27,245},
{11,27,149},{11,31,248},{11,28,89},{11,27,5},{11,26,99},{9,30,244},{10,26,100},{12,29,99},{12,28,45},{12,27,27},{12,27,51},{12,27,243},{10,30,81},{11,27,5},{10,26,99},{13,25,243},{10,26,99},{11,30,145},{11,30,145},{11,30,145},{11,27,148},{11,29,52},{11,27,4},{11,27,4},{11,26,18},{9,29,56},{10,26,19},{12,27,26},{12,27,26},{12,27,26},{12,26,25},{13,22,50},
{11,27,4},{11,27,4},{10,26,18},{12,25,50},{10,26,18},{15,19,72},{11,30,5},{12,27,2},{11,27,5},{15,19,72},{13,26,72},{11,27,5},{0,26,90},{13,26,72},{0,26,90},{11,0,144},{11,0,144},{11,0,144},{11,0,144},{11,27,0},{11,27,0},{11,27,0},{11,25,4},{10,27,8},{10,27,8},{12,31,164},{12,30,94},{12,28,106},{12,28,94},{12,30,329},{11,30,137},{11,28,105},
{11,27,154},{10,30,253},{11,27,106},{12,31,83},{12,30,13},{12,28,25},{12,28,13},{14,23,243},{11,30,73},{12,28,40},{11,27,90},{11,29,243},{11,27,90},{12,29,91},{12,29,91},{12,29,91},{12,28,94},{11,31,116},{11,29,69},{11,29,69},{11,27,73},{10,29,50},{11,27,25},{12,29,10},{12,29,10},{12,29,10},{12,28,13},{15,18,50},{11,29,5},{11,29,5},{11,27,9},{10,29,50},
{11,27,9},{13,28,72},{12,30,4},{12,28,16},{12,28,4},{13,28,72},{11,30,72},{12,28,4},{0,27,90},{11,30,72},{0,27,90},{12,0,90},{12,0,90},{12,0,90},{12,0,90},{11,30,65},{11,30,65},{11,30,65},{11,27,64},{10,28,9},{10,28,9},{12,31,356},{12,31,140},{12,29,203},{12,29,123},{12,31,284},{12,30,97},{12,29,3},{12,28,97},{10,31,287},{11,28,85},{13,31,99},
{13,30,45},{13,29,26},{13,29,50},{13,29,243},{12,30,96},{12,29,2},{11,28,84},{14,27,243},{11,28,84},{12,31,131},{12,31,131},{12,31,131},{12,29,123},{12,30,53},{12,29,3},{12,29,3},{12,27,27},{11,29,62},{11,28,21},{13,29,26},{13,29,26},{13,29,26},{13,28,25},{13,27,50},{12,29,2},{12,29,2},{11,28,20},{13,27,50},{11,28,20},{15,24,72},{12,31,18},{13,29,1},
{12,29,1},{15,24,72},{15,27,74},{12,29,1},{0,28,80},{15,27,74},{0,28,80},{12,0,122},{12,0,122},{12,0,122},{12,0,122},{12,29,2},{12,29,2},{12,29,2},{12,27,2},{11,28,5},{11,28,5},{13,31,280},{13,31,120},{13,30,106},{13,30,82},{13,31,328},{13,31,200},{13,30,91},{12,29,154},{12,31,344},{12,29,106},{13,31,216},{13,31,56},{13,30,42},{13,30,18},{15,25,244},
{13,31,136},{13,30,27},{12,29,90},{13,30,243},{12,29,90},{13,31,84},{13,31,84},{13,31,84},{13,30,81},{13,30,114},{12,31,68},{12,31,68},{12,29,73},{11,31,53},{12,29,25},{13,31,20},{13,31,20},{13,31,20},{13,30,17},{13,30,50},{12,31,4},{12,31,4},{12,29,9},{12,30,50},{12,29,9},{15,27,72},{13,31,40},{13,30,26},{13,30,2},{15,27,72},{13,31,72},{13,30,2},
{0,29,90},{13,31,72},{0,29,90},{13,0,80},{13,0,80},{13,0,80},{13,0,80},{13,28,65},{13,28,65},{13,28,65},{12,29,64},{12,29,16},{12,29,16},{14,31,415},{14,31,351},{13,31,244},{13,31,148},{14,31,511},{13,31,173},{13,31,4},{13,30,82},{13,31,381},{12,30,83},{14,31,126},{14,31,62},{14,31,26},{14,31,50},{14,31,222},{13,31,173},{13,31,4},{12,30,82},{14,30,221},
{12,30,82},{13,31,244},{13,31,244},{13,31,244},{13,31,148},{13,31,100},{13,31,4},{13,31,4},{13,30,18},{12,31,72},{12,30,19},{14,31,26},{14,31,26},{14,31,26},{14,30,25},{15,26,50},{13,31,4},{13,31,4},{12,30,18},{14,29,50},{12,30,18},{15,29,61},{14,31,37},{14,31,1},{13,31,4},{15,29,61},{15,30,61},{13,31,4},{0,30,73},{15,30,61},{0,30,73},{13,0,144},
{13,0,144},{13,0,144},{13,0,144},{13,31,0},{13,31,0},{13,31,0},{13,29,4},{12,31,8},{12,31,8},{14,31,239},{14,31,175},{14,31,139},{14,31,99},{14,31,239},{14,31,135},{14,31,99},{13,31,73},{13,31,285},{13,31,25},{14,31,158},{14,31,94},{14,31,58},{14,31,18},{15,29,94},{14,31,54},{14,31,18},{13,31,9},{15,30,93},{13,31,9},{14,31,139},{14,31,139},{14,31,139},
{14,31,99},{14,31,139},{14,31,99},{14,31,99},{13,31,73},{13,31,116},{13,31,25},{14,31,58},{14,31,58},{14,31,58},{14,31,18},{15,28,52},{14,31,18},{14,31,18},{13,31,9},{15,29,58},{13,31,9},{15,30,9},{15,31,9},{15,31,9},{14,31,9},{15,30,9},{15,31,9},{14,31,9},{0,31,9},{15,31,9},{0,31,9},{14,0,90},{14,0,90},{14,0,90},{14,0,90},{14,30,81},
{14,30,81},{14,30,81},{13,31,64},{13,31,16},{13,31,16},{15,31,314},{14,31,258},{14,31,222},{14,31,158},{14,31,226},{14,31,98},{14,31,62},{14,31,2},{14,31,122},{14,31,50},{15,31,25},{15,31,25},{15,31,25},{15,31,25},{15,30,22},{15,31,25},{15,31,25},{14,31,1},{15,31,25},{14,31,1},{14,31,222},{14,31,222},{14,31,222},{14,31,158},{14,31,126},{14,31,62},{14,31,62},
{14,31,2},{14,31,86},{14,31,50},{15,31,25},{15,31,25},{15,31,25},{15,31,25},{15,30,13},{15,31,25},{15,31,25},{14,31,1},{15,30,25},{14,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{14,0,122},{14,0,122},{14,0,122},{14,0,122},{14,31,26},{14,31,26},{14,31,26},{14,31,2},{14,31,50},
{14,31,50},{0,6,202},{0,5,52},{0,3,25},{0,3,61},{0,4,442},{0,3,313},{0,3,142},{0,2,318},{0,2,498},{0,2,354},{0,6,202},{0,5,52},{0,3,25},{0,3,61},{1,1,441},{0,3,313},{0,3,142},{0,2,318},{2,0,442},{0,2,318},{0,3,0},{0,3,0},{0,3,0},{0,2,1},{0,1,45},{0,1,25},{0,1,25},{0,1,26},{0,1,50},{0,1,35},{0,3,0},
{0,3,0},{0,3,0},{0,2,1},{0,1,45},{0,1,25},{0,1,25},{0,1,26},{0,1,41},{0,1,26},{1,3,200},{0,5,52},{0,3,25},{0,3,61},{1,3,200},{3,0,202},{0,3,61},{0,2,218},{3,0,202},{0,2,218},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,9,200},{0,7,20},{0,5,20},
{0,4,25},{0,6,686},{0,5,433},{0,4,169},{0,3,443},{0,3,794},{0,3,524},{0,9,200},{0,7,20},{0,5,20},{0,4,25},{0,6,686},{0,5,433},{0,4,169},{0,3,443},{3,0,686},{0,3,443},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,3,145},{0,2,85},{0,2,85},{0,2,101},{0,1,178},{0,1,115},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,3,145},
{0,2,85},{0,2,85},{0,2,101},{0,2,149},{0,2,101},{0,9,200},{0,7,20},{0,5,20},{0,4,25},{0,9,200},{2,3,200},{0,4,25},{0,3,218},{2,3,200},{0,3,218},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,11,257},{0,9,54},{0,6,114},{0,5,65},{0,9,728},{0,6,371},{0,5,80},
{0,4,377},{0,5,949},{0,4,521},{0,11,257},{0,9,54},{1,5,97},{0,5,65},{2,2,723},{0,6,371},{0,5,80},{0,4,377},{1,4,723},{0,4,377},{0,8,50},{0,8,50},{0,8,50},{0,5,49},{0,5,164},{0,4,50},{0,4,50},{0,3,65},{0,3,245},{0,2,126},{0,8,50},{0,8,50},{0,8,50},{0,5,49},{1,2,162},{0,4,50},{0,4,50},{0,3,65},{1,2,162},
{0,3,65},{3,2,202},{0,9,5},{1,5,16},{0,5,16},{3,2,202},{5,1,200},{0,5,16},{0,4,208},{5,1,200},{0,4,208},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,2,1},{0,2,1},{0,2,1},{0,1,4},{0,1,13},{0,1,13},{0,14,425},{0,11,234},{1,7,277},{0,7,245},{0,11,724},{0,8,289},{0,6,34},{0,5,308},{0,6,1087},{0,5,533},{1,11,201},
{1,9,18},{1,7,21},{1,6,26},{1,8,723},{0,8,289},{0,6,34},{0,5,308},{4,2,723},{0,5,308},{0,11,225},{0,11,225},{0,11,225},{0,7,229},{0,8,162},{0,6,18},{0,6,18},{0,4,25},{0,4,338},{0,3,162},{1,8,2},{1,8,2},{1,8,2},{1,5,5},{0,8,162},{0,6,18},{0,6,18},{0,4,25},{4,0,162},{0,4,25},{3,4,200},{0,11,9},{1,7,20},
{0,7,20},{3,4,200},{7,0,200},{0,7,20},{0,5,208},{7,0,200},{0,5,208},{0,0,225},{0,0,225},{0,0,225},{0,0,225},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,61},{0,2,61},{1,14,410},{1,11,209},{1,8,288},{1,7,234},{0,14,739},{0,10,254},{0,8,33},{0,6,270},{0,8,1131},{0,6,450},{1,14,266},{1,11,65},{2,7,106},{1,7,90},{3,4,723},
{0,10,238},{0,8,17},{0,6,254},{7,0,723},{0,6,254},{1,11,209},{1,11,209},{1,11,209},{1,7,209},{0,11,178},{0,8,17},{0,8,17},{0,5,18},{0,6,376},{0,5,123},{1,11,65},{1,11,65},{1,11,65},{1,7,65},{3,1,162},{0,8,1},{0,8,1},{0,5,2},{3,3,162},{0,5,2},{3,7,200},{1,11,1},{2,7,25},{0,8,17},{3,7,200},{8,0,200},{0,8,17},
{0,6,218},{8,0,200},{0,6,218},{1,0,208},{1,0,208},{1,0,208},{1,0,208},{0,8,16},{0,8,16},{0,8,16},{0,5,17},{0,4,80},{0,4,80},{1,16,474},{1,13,276},{1,9,457},{1,9,292},{1,13,740},{1,10,298},{1,8,45},{1,7,315},{0,9,1013},{0,7,308},{2,13,201},{2,11,21},{2,9,21},{2,8,26},{5,0,723},{0,12,227},{1,8,29},{0,7,227},{5,4,723},
{0,7,227},{1,13,272},{1,13,272},{1,13,272},{1,9,276},{1,10,180},{1,8,29},{1,8,29},{1,6,33},{0,8,306},{0,6,41},{2,10,2},{2,10,2},{2,10,2},{2,7,5},{4,0,162},{0,10,5},{0,10,5},{0,6,5},{1,7,162},{0,6,5},{5,3,200},{1,13,4},{2,9,20},{1,9,20},{5,3,200},{4,7,200},{1,9,20},{0,7,218},{4,7,200},{0,7,218},{1,0,272},
{1,0,272},{1,0,272},{1,0,272},{1,7,17},{1,7,17},{1,7,17},{1,5,17},{0,6,40},{0,6,40},{2,15,426},{2,13,223},{2,10,283},{2,9,234},{1,16,739},{1,12,267},{1,10,33},{1,8,273},{0,11,913},{0,8,225},{2,15,257},{2,13,54},{3,9,97},{2,9,65},{4,6,723},{0,13,208},{1,10,17},{0,8,209},{3,8,723},{0,8,209},{2,12,219},{2,12,219},{2,12,219},
{2,9,218},{1,13,180},{1,10,17},{1,10,17},{1,7,18},{0,9,229},{0,7,27},{2,12,50},{2,12,50},{2,12,50},{2,9,49},{3,6,162},{1,10,1},{1,10,1},{1,7,2},{3,6,162},{1,7,2},{1,19,200},{2,13,5},{3,9,16},{2,9,16},{1,19,200},{9,2,200},{2,9,16},{0,8,208},{9,2,200},{0,8,208},{2,0,218},{2,0,218},{2,0,218},{2,0,218},{1,10,16},
{1,10,16},{1,10,16},{1,7,17},{0,8,17},{0,8,17},{2,18,450},{2,15,259},{2,11,410},{2,11,270},{2,15,749},{2,12,314},{2,10,59},{2,9,333},{0,13,868},{0,9,213},{3,15,201},{3,13,18},{3,11,21},{3,10,26},{6,2,723},{0,15,204},{2,10,34},{0,9,212},{8,3,723},{0,9,212},{2,15,250},{2,15,250},{2,15,250},{2,11,254},{2,12,187},{2,10,43},{2,10,43},
{2,8,50},{0,11,189},{1,8,37},{3,12,2},{3,12,2},{3,12,2},{3,9,5},{5,2,162},{1,12,2},{1,12,2},{1,8,1},{8,1,162},{1,8,1},{5,8,200},{2,15,9},{3,11,20},{2,11,20},{5,8,200},{4,10,200},{2,11,20},{0,9,208},{4,10,200},{0,9,208},{2,0,250},{2,0,250},{2,0,250},{2,0,250},{2,9,25},{2,9,25},{2,9,25},{2,7,25},{0,9,5},
{0,9,5},{3,18,410},{3,15,209},{3,12,288},{3,11,234},{2,18,739},{2,14,254},{2,12,33},{2,10,270},{0,15,804},{1,10,227},{3,18,266},{3,15,65},{4,11,106},{3,11,90},{5,8,723},{1,15,219},{2,12,17},{1,10,218},{4,10,723},{1,10,218},{3,15,209},{3,15,209},{3,15,209},{3,11,209},{2,15,178},{2,12,17},{2,12,17},{2,9,18},{0,13,171},{1,9,26},{3,15,65},
{3,15,65},{3,15,65},{3,11,65},{5,5,162},{2,12,1},{2,12,1},{2,9,2},{5,7,162},{2,9,2},{5,11,200},{3,15,1},{4,11,25},{2,12,17},{5,11,200},{11,3,200},{2,12,17},{0,10,218},{11,3,200},{0,10,218},{3,0,208},{3,0,208},{3,0,208},{3,0,208},{2,12,16},{2,12,16},{2,12,16},{2,9,17},{1,10,9},{1,10,9},{3,20,474},{3,17,276},{3,13,457},
{3,13,292},{3,17,740},{3,14,298},{3,12,45},{3,11,315},{0,16,747},{1,11,231},{4,17,201},{4,15,21},{4,13,21},{4,12,26},{7,4,723},{1,17,209},{3,12,29},{1,11,227},{9,5,723},{1,11,227},{3,17,272},{3,17,272},{3,17,272},{3,13,276},{3,14,180},{3,12,29},{3,12,29},{3,10,33},{0,15,171},{2,10,41},{4,14,2},{4,14,2},{4,14,2},{4,11,5},{7,1,162},
{2,14,5},{2,14,5},{2,10,5},{10,2,162},{2,10,5},{8,2,200},{3,17,4},{4,13,20},{3,13,20},{8,2,200},{13,2,200},{3,13,20},{0,11,218},{13,2,200},{0,11,218},{3,0,272},{3,0,272},{3,0,272},{3,0,272},{3,11,17},{3,11,17},{3,11,17},{3,9,17},{1,12,8},{1,12,8},{4,19,426},{4,17,223},{4,14,283},{4,13,234},{3,20,739},{3,16,267},{3,14,33},
{3,12,273},{0,18,727},{2,12,225},{4,19,257},{4,17,54},{5,13,97},{4,13,65},{6,10,723},{2,17,208},{3,14,17},{2,12,209},{12,3,723},{2,12,209},{4,16,219},{4,16,219},{4,16,219},{4,13,218},{3,17,180},{3,14,17},{3,14,17},{3,11,18},{1,15,171},{2,11,27},{4,16,50},{4,16,50},{4,16,50},{4,13,49},{5,10,162},{3,14,1},{3,14,1},{3,11,2},{12,1,162},
{3,11,2},{3,23,200},{4,17,5},{5,13,16},{4,13,16},{3,23,200},{11,6,200},{4,13,16},{0,12,208},{11,6,200},{0,12,208},{4,0,218},{4,0,218},{4,0,218},{4,0,218},{3,14,16},{3,14,16},{3,14,16},{3,11,17},{1,13,10},{1,13,10},{4,22,450},{4,19,259},{4,15,410},{4,15,270},{4,19,749},{4,16,314},{4,14,59},{4,13,333},{1,18,747},{2,13,213},{5,19,201},
{5,17,18},{5,15,21},{5,14,26},{9,1,723},{2,19,204},{4,14,34},{2,13,212},{15,1,723},{2,13,212},{4,19,250},{4,19,250},{4,19,250},{4,15,254},{4,16,187},{4,14,43},{4,14,43},{4,12,50},{1,16,174},{3,12,37},{5,16,2},{5,16,2},{5,16,2},{5,13,5},{8,1,162},{3,16,2},{3,16,2},{3,12,1},{10,5,162},{3,12,1},{9,4,200},{4,19,9},{5,15,20},
{4,15,20},{9,4,200},{9,10,200},{4,15,20},{0,13,208},{9,10,200},{0,13,208},{4,0,250},{4,0,250},{4,0,250},{4,0,250},{4,13,25},{4,13,25},{4,13,25},{4,11,25},{2,13,5},{2,13,5},{5,22,410},{5,19,209},{5,16,288},{5,15,234},{4,22,739},{4,18,254},{4,16,33},{4,14,270},{1,20,724},{3,14,227},{5,22,266},{5,19,65},{6,15,106},{5,15,90},{9,4,723},
{3,19,219},{4,16,17},{3,14,218},{9,10,723},{3,14,218},{5,19,209},{5,19,209},{5,19,209},{5,15,209},{4,19,178},{4,16,17},{4,16,17},{4,13,18},{2,17,171},{3,13,26},{5,19,65},{5,19,65},{5,19,65},{5,15,65},{8,4,162},{4,16,1},{4,16,1},{4,13,2},{14,2,162},{4,13,2},{11,0,200},{5,19,1},{6,15,25},{4,16,17},{11,0,200},{13,7,200},{4,16,17},
{0,14,218},{13,7,200},{0,14,218},{5,0,208},{5,0,208},{5,0,208},{5,0,208},{4,16,16},{4,16,16},{4,16,16},{4,13,17},{3,14,9},{3,14,9},{5,24,474},{5,21,276},{5,17,457},{5,17,292},{5,21,740},{5,18,298},{5,16,45},{5,15,315},{1,22,740},{3,15,231},{6,21,201},{6,19,21},{6,17,21},{6,16,26},{10,3,723},{3,21,209},{5,16,29},{3,15,227},{11,9,723},
{3,15,227},{5,21,272},{5,21,272},{5,21,272},{5,17,276},{5,18,180},{5,16,29},{5,16,29},{5,14,33},{2,19,171},{4,14,41},{6,18,2},{6,18,2},{6,18,2},{6,15,5},{3,25,162},{4,18,5},{4,18,5},{4,14,5},{12,6,162},{4,14,5},{10,6,200},{5,21,4},{6,17,20},{5,17,20},{10,6,200},{15,6,200},{5,17,20},{0,15,218},{15,6,200},{0,15,218},{5,0,272},
{5,0,272},{5,0,272},{5,0,272},{5,15,17},{5,15,17},{5,15,17},{5,13,17},{3,16,8},{3,16,8},{6,23,426},{6,21,223},{6,18,283},{6,17,234},{5,24,739},{5,20,267},{5,18,33},{5,16,273},{2,22,727},{4,16,225},{6,23,257},{6,21,54},{7,17,97},{6,17,65},{9,9,723},{4,21,208},{5,18,17},{4,16,209},{14,7,723},{4,16,209},{6,20,219},{6,20,219},{6,20,219},
{6,17,218},{5,21,180},{5,18,17},{5,18,17},{5,15,18},{3,19,171},{4,15,27},{6,20,50},{6,20,50},{6,20,50},{6,17,49},{9,6,162},{5,18,1},{5,18,1},{5,15,2},{14,5,162},{5,15,2},{12,2,200},{6,21,5},{7,17,16},{6,17,16},{12,2,200},{13,10,200},{6,17,16},{0,16,208},{13,10,200},{0,16,208},{6,0,218},{6,0,218},{6,0,218},{6,0,218},{5,18,16},
{5,18,16},{5,18,16},{5,15,17},{3,17,10},{3,17,10},{6,26,450},{6,23,259},{6,19,410},{6,19,270},{6,23,749},{6,20,314},{6,18,59},{6,17,333},{3,22,747},{4,17,213},{7,23,201},{7,21,18},{7,19,21},{7,18,26},{11,5,723},{4,23,204},{6,18,34},{4,17,212},{12,11,723},{4,17,212},{6,23,250},{6,23,250},{6,23,250},{6,19,254},{6,20,187},{6,18,43},{6,18,43},
{6,16,50},{3,20,174},{5,16,37},{7,20,2},{7,20,2},{7,20,2},{7,17,5},{10,5,162},{5,20,2},{5,20,2},{5,16,1},{12,9,162},{5,16,1},{11,8,200},{6,23,9},{7,19,20},{6,19,20},{11,8,200},{11,14,200},{6,19,20},{0,17,208},{11,14,200},{0,17,208},{6,0,250},{6,0,250},{6,0,250},{6,0,250},{6,17,25},{6,17,25},{6,17,25},{6,15,25},{4,17,5},
{4,17,5},{7,26,410},{7,23,209},{7,20,288},{7,19,234},{6,26,739},{6,22,254},{6,20,33},{6,18,270},{3,24,724},{5,18,227},{7,26,266},{7,23,65},{7,20,144},{7,19,90},{11,8,723},{5,23,219},{6,20,17},{5,18,218},{11,14,723},{5,18,218},{7,23,209},{7,23,209},{7,23,209},{7,19,209},{6,23,178},{6,20,17},{6,20,17},{6,17,18},{4,21,171},{5,17,26},{7,23,65},
{7,23,65},{7,23,65},{7,19,65},{10,8,162},{6,20,1},{6,20,1},{6,17,2},{11,12,162},{6,17,2},{13,4,200},{7,23,1},{8,19,50},{6,20,17},{13,4,200},{15,11,200},{6,20,17},{0,18,218},{15,11,200},{0,18,218},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{6,20,16},{6,20,16},{6,20,16},{6,17,17},{5,18,9},{5,18,9},{7,28,474},{7,25,276},{7,21,457},
{7,21,292},{7,25,740},{7,22,298},{7,20,45},{7,19,315},{3,26,740},{5,19,231},{8,23,283},{8,22,133},{8,20,97},{8,20,133},{12,7,723},{5,25,209},{7,20,29},{5,19,227},{13,13,723},{5,19,227},{7,25,272},{7,25,272},{7,25,272},{7,21,276},{7,22,180},{7,20,29},{7,20,29},{7,18,33},{4,23,171},{6,18,41},{8,20,81},{8,20,81},{8,20,81},{8,19,82},{9,14,162},
{6,22,5},{6,22,5},{6,18,5},{14,10,162},{6,18,5},{15,0,200},{7,25,4},{8,20,16},{7,21,20},{15,0,200},{12,16,200},{7,21,20},{0,19,218},{12,16,200},{0,19,218},{7,0,272},{7,0,272},{7,0,272},{7,0,272},{7,19,17},{7,19,17},{7,19,17},{7,17,17},{5,20,8},{5,20,8},{8,26,642},{8,24,459},{8,22,462},{8,21,467},{7,28,739},{7,24,267},{7,22,33},
{7,20,273},{4,26,727},{6,20,225},{8,26,201},{8,24,18},{8,22,21},{8,21,26},{14,3,723},{6,25,208},{7,22,17},{6,20,209},{11,17,723},{6,20,209},{8,23,443},{8,23,443},{8,23,443},{8,20,446},{7,25,180},{7,22,17},{7,22,17},{7,19,18},{5,23,171},{6,19,27},{8,23,2},{8,23,2},{8,23,2},{8,20,5},{11,10,162},{7,22,1},{7,22,1},{7,19,2},{5,23,162},
{7,19,2},{14,6,200},{8,24,17},{8,22,20},{7,22,17},{14,6,200},{15,14,200},{7,22,17},{0,20,208},{15,14,200},{0,20,208},{8,0,442},{8,0,442},{8,0,442},{8,0,442},{7,22,16},{7,22,16},{7,22,16},{7,19,17},{5,21,10},{5,21,10},{8,28,420},{8,26,223},{8,23,283},{8,22,234},{7,31,872},{7,26,371},{7,23,201},{7,21,368},{5,26,747},{6,21,213},{8,28,251},
{8,26,54},{9,22,97},{8,22,65},{13,9,723},{6,27,204},{7,23,57},{6,21,212},{14,15,723},{6,21,212},{8,25,219},{8,25,219},{8,25,219},{8,22,218},{7,27,308},{7,24,146},{7,24,146},{7,20,145},{5,24,174},{7,20,37},{8,25,50},{8,25,50},{8,25,50},{8,22,49},{12,9,162},{7,24,2},{7,24,2},{7,20,1},{14,13,162},{7,20,1},{13,12,200},{8,26,5},{9,22,16},
{8,22,16},{13,12,200},{13,18,200},{8,22,16},{0,21,208},{13,18,200},{0,21,208},{8,0,218},{8,0,218},{8,0,218},{8,0,218},{7,24,145},{7,24,145},{7,24,145},{7,20,145},{6,21,5},{6,21,5},{8,31,474},{8,28,276},{9,24,425},{8,24,292},{8,28,740},{8,25,298},{8,23,61},{8,22,315},{5,28,724},{7,22,227},{9,28,200},{9,26,13},{9,24,25},{9,23,29},{13,12,723},
{7,27,219},{8,23,45},{7,22,218},{13,18,723},{7,22,218},{8,28,272},{8,28,272},{8,28,272},{8,24,276},{8,25,180},{8,23,36},{8,23,36},{8,21,33},{6,25,171},{7,21,26},{9,25,0},{9,25,0},{9,25,0},{9,23,4},{15,2,162},{8,23,20},{8,23,20},{8,21,17},{13,16,162},{8,21,17},{15,8,200},{8,28,4},{9,24,25},{8,24,20},{15,8,200},{11,22,200},{8,24,20},
{0,22,218},{11,22,200},{0,22,218},{8,0,272},{8,0,272},{8,0,272},{8,0,272},{8,22,17},{8,22,17},{8,22,17},{8,20,17},{7,22,9},{7,22,9},{9,31,410},{9,28,212},{9,25,288},{9,24,224},{8,31,739},{8,27,254},{8,25,33},{8,23,270},{5,30,740},{7,23,231},{9,31,266},{9,28,68},{10,24,97},{9,24,80},{14,11,723},{7,29,209},{8,25,17},{7,23,227},{15,17,723},
{7,23,227},{9,27,212},{9,27,212},{9,27,212},{9,24,208},{8,28,180},{8,25,17},{8,25,17},{8,22,18},{6,27,171},{7,23,62},{9,27,68},{9,27,68},{9,27,68},{9,24,64},{11,18,162},{8,25,1},{8,25,1},{8,22,2},{10,21,162},{8,22,2},{14,14,200},{9,28,4},{10,24,16},{9,24,16},{14,14,200},{14,20,200},{9,24,16},{0,23,218},{14,20,200},{0,23,218},{9,0,208},
{9,0,208},{9,0,208},{9,0,208},{8,25,16},{8,25,16},{8,25,16},{8,22,17},{7,24,8},{7,24,8},{9,31,570},{9,30,276},{9,26,457},{9,26,292},{9,30,740},{9,27,298},{9,25,45},{9,24,324},{6,30,727},{7,24,280},{10,30,201},{10,28,18},{10,26,21},{10,25,26},{13,17,723},{8,29,227},{9,25,29},{8,24,224},{13,21,723},{8,24,224},{9,30,272},{9,30,272},{9,30,272},
{9,26,276},{9,27,180},{9,25,29},{9,25,29},{9,23,33},{7,27,171},{8,23,41},{10,27,2},{10,27,2},{10,27,2},{10,24,5},{13,14,162},{8,27,5},{8,27,5},{8,23,5},{8,25,162},{8,23,5},{13,20,200},{9,30,4},{10,26,20},{9,26,20},{13,20,200},{13,23,202},{9,26,20},{0,24,208},{13,23,202},{0,24,208},{9,0,272},{9,0,272},{9,0,272},{9,0,272},{9,24,17},
{9,24,17},{9,24,17},{9,22,17},{7,25,10},{7,25,10},{10,31,468},{10,30,223},{10,27,283},{10,26,234},{9,31,835},{9,29,267},{9,27,33},{9,25,273},{7,30,747},{8,25,225},{11,29,283},{10,30,54},{11,26,97},{10,26,65},{15,13,723},{8,30,208},{9,27,17},{8,25,209},{11,25,723},{8,25,209},{10,29,219},{10,29,219},{10,29,219},{10,26,218},{9,30,180},{9,27,17},{9,27,17},
{9,24,20},{7,28,174},{8,24,17},{10,29,50},{10,29,50},{10,29,50},{10,26,49},{14,13,162},{9,27,1},{9,27,1},{9,24,4},{11,23,162},{9,24,4},{15,16,200},{10,30,5},{11,26,16},{10,26,16},{15,16,200},{15,22,200},{10,26,16},{0,25,208},{15,22,200},{0,25,208},{10,0,218},{10,0,218},{10,0,218},{10,0,218},{9,27,16},{9,27,16},{9,27,16},{9,24,20},{8,24,17},
{8,24,17},{11,31,632},{10,31,297},{11,28,425},{10,28,292},{10,31,804},{10,29,298},{10,27,61},{10,26,315},{7,31,823},{8,26,231},{11,31,232},{11,30,13},{11,28,25},{11,27,29},{15,16,723},{9,31,216},{10,27,45},{8,26,227},{15,22,723},{8,26,227},{10,31,288},{10,31,288},{10,31,288},{10,28,276},{10,29,180},{10,27,36},{10,27,36},{10,25,33},{7,30,189},{9,25,30},{11,29,0},
{11,29,0},{11,29,0},{11,27,4},{14,16,162},{9,29,4},{9,29,4},{9,25,5},{15,20,162},{9,25,5},{15,19,200},{11,30,13},{11,28,25},{10,28,20},{15,19,200},{13,26,200},{10,28,20},{0,26,218},{13,26,200},{0,26,218},{10,0,272},{10,0,272},{10,0,272},{10,0,272},{10,26,17},{10,26,17},{10,26,17},{10,24,17},{8,27,5},{8,27,5},{11,31,696},{11,31,237},{11,29,288},
{11,28,224},{11,31,888},{10,31,254},{10,29,33},{10,27,270},{8,31,824},{9,27,227},{12,31,283},{11,31,93},{12,28,97},{11,28,80},{13,25,723},{10,31,238},{10,29,17},{9,27,218},{12,27,723},{9,27,218},{11,31,212},{11,31,212},{11,31,212},{11,28,208},{10,31,196},{10,29,17},{10,29,17},{10,26,18},{8,30,171},{9,26,26},{11,31,68},{11,31,68},{11,31,68},{11,28,64},{13,22,162},
{10,29,1},{10,29,1},{10,26,2},{12,25,162},{10,26,2},{13,28,200},{11,31,29},{12,28,16},{11,28,16},{13,28,200},{11,30,200},{11,28,16},{0,27,218},{11,30,200},{0,27,218},{11,0,208},{11,0,208},{11,0,208},{11,0,208},{10,29,16},{10,29,16},{10,29,16},{10,26,17},{9,27,9},{9,27,9},{12,31,804},{12,31,492},{11,30,457},{11,30,292},{11,31,1080},{11,31,298},{11,29,45},
{11,28,324},{9,31,920},{9,28,218},{12,31,363},{12,31,51},{12,30,21},{12,29,26},{15,21,723},{11,31,282},{11,29,29},{9,28,217},{15,25,723},{9,28,217},{11,31,372},{11,31,372},{11,31,372},{11,30,276},{11,31,180},{11,29,29},{11,29,29},{11,27,33},{8,31,184},{10,27,41},{12,31,2},{12,31,2},{12,31,2},{12,28,5},{15,18,162},{10,31,5},{10,31,5},{10,27,5},{10,29,162},
{10,27,5},{15,24,200},{12,31,50},{12,30,20},{11,30,20},{15,24,200},{15,27,202},{11,30,20},{0,28,208},{15,27,202},{0,28,208},{11,0,272},{11,0,272},{11,0,272},{11,0,272},{11,28,17},{11,28,17},{11,28,17},{11,26,17},{9,29,8},{9,29,8},{12,31,996},{12,31,492},{12,31,283},{12,30,234},{12,31,1068},{11,31,458},{11,31,33},{11,29,273},{10,31,999},{10,29,225},{13,31,379},
{13,31,171},{13,30,97},{12,30,65},{14,27,723},{12,31,371},{11,31,17},{10,29,209},{13,29,723},{10,29,209},{12,31,267},{12,31,267},{12,31,267},{12,30,218},{12,30,333},{11,31,17},{11,31,17},{11,28,20},{9,31,212},{10,28,17},{13,30,81},{13,30,81},{13,30,81},{12,30,49},{13,27,162},{11,31,1},{11,31,1},{11,28,4},{13,27,162},{11,28,4},{15,27,202},{13,31,90},{13,30,16},
{12,30,16},{15,27,202},{15,28,202},{12,30,16},{0,29,208},{15,28,202},{0,29,208},{12,0,218},{12,0,218},{12,0,218},{12,0,218},{11,31,16},{11,31,16},{11,31,16},{11,28,20},{9,30,10},{9,30,10},{13,31,877},{13,31,605},{13,31,436},{12,31,288},{13,31,1021},{12,31,397},{12,31,36},{12,30,210},{11,31,910},{10,30,126},{14,31,414},{13,31,205},{13,31,36},{13,31,4},{15,26,546},
{13,31,317},{12,31,20},{10,30,122},{14,29,546},{10,30,122},{13,31,436},{13,31,436},{13,31,436},{12,31,288},{12,31,276},{12,31,36},{12,31,36},{12,29,33},{10,31,261},{11,29,30},{13,31,36},{13,31,36},{13,31,36},{13,31,4},{13,30,162},{12,31,20},{12,31,20},{11,29,5},{12,30,162},{11,29,5},{15,28,117},{14,31,61},{14,31,25},{13,31,4},{15,28,117},{14,31,117},{13,31,4},
{0,30,113},{14,31,117},{0,30,113},{12,0,272},{12,0,272},{12,0,272},{12,0,272},{12,30,17},{12,30,17},{12,30,17},{12,28,17},{10,31,5},{10,31,5},{13,31,845},{13,31,573},{13,31,404},{13,31,244},{13,31,797},{13,31,365},{12,31,196},{12,30,82},{12,31,737},{11,31,58},{14,31,190},{14,31,126},{14,31,90},{14,31,82},{14,31,334},{13,31,221},{13,31,52},{11,31,49},{14,30,333},
{11,31,49},{13,31,404},{13,31,404},{13,31,404},{13,31,244},{13,31,356},{12,31,196},{12,31,196},{12,30,18},{11,31,333},{11,30,26},{14,31,90},{14,31,90},{14,31,90},{14,31,82},{15,26,162},{13,31,52},{13,31,52},{12,30,2},{14,29,162},{12,30,2},{15,30,25},{15,30,41},{14,31,9},{14,31,1},{15,30,25},{15,30,29},{14,31,1},{0,31,49},{15,30,29},{0,31,49},{13,0,208},
{13,0,208},{13,0,208},{13,0,208},{12,31,52},{12,31,52},{12,31,52},{12,30,17},{11,31,9},{11,31,9},{14,31,642},{14,31,578},{14,31,542},{13,31,441},{14,31,690},{13,31,370},{13,31,201},{13,31,32},{13,31,610},{12,31,40},{14,31,201},{14,31,137},{14,31,101},{14,31,37},{15,29,193},{14,31,121},{14,31,85},{12,31,4},{14,31,193},{12,31,4},{14,31,542},{14,31,542},{14,31,542},
{13,31,441},{13,31,473},{13,31,201},{13,31,201},{13,31,32},{12,31,401},{12,31,40},{14,31,101},{14,31,101},{14,31,101},{14,31,37},{15,28,145},{14,31,85},{14,31,85},{12,31,4},{15,29,149},{12,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{13,0,272},{13,0,272},{13,0,272},{13,0,272},{13,31,32},
{13,31,32},{13,31,32},{13,30,17},{12,31,40},{12,31,40},{14,31,418},{14,31,354},{14,31,318},{14,31,254},{14,31,370},{14,31,242},{14,31,206},{13,31,32},{13,31,418},{13,31,80},{15,31,81},{15,31,81},{15,31,81},{15,31,81},{15,30,54},{14,31,73},{14,31,37},{14,31,9},{15,30,66},{14,31,9},{14,31,318},{14,31,318},{14,31,318},{14,31,254},{14,31,270},{14,31,206},{14,31,206},
{13,31,32},{13,31,249},{13,31,80},{15,31,81},{15,31,81},{15,31,81},{15,31,81},{15,29,45},{14,31,37},{14,31,37},{14,31,9},{15,30,41},{14,31,9},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{14,0,218},{14,0,218},{14,0,218},{14,0,218},{13,31,160},{13,31,160},{13,31,160},{13,31,32},{13,31,80},
{13,31,80},{0,9,421},{0,7,113},{0,5,5},{0,4,130},{0,6,925},{0,5,658},{0,4,274},{0,3,670},{0,3,1039},{0,3,751},{0,9,421},{0,7,113},{0,5,5},{0,4,130},{0,6,925},{0,5,658},{0,4,274},{0,3,670},{3,0,925},{0,3,670},{0,4,1},{0,4,1},{0,4,1},{0,3,4},{0,2,85},{0,2,45},{0,2,45},{0,1,50},{0,1,98},{0,1,59},{0,4,1},
{0,4,1},{0,4,1},{0,3,4},{0,2,85},{0,2,45},{0,2,45},{0,1,50},{1,0,85},{0,1,50},{1,6,421},{0,7,113},{0,5,5},{0,4,130},{1,6,421},{3,2,421},{0,4,130},{0,3,445},{3,2,421},{0,3,445},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,12,425},{0,9,52},{0,6,10},
{0,6,82},{0,8,1261},{0,6,805},{0,5,322},{0,4,833},{0,4,1445},{0,4,977},{0,12,425},{0,9,52},{0,6,10},{0,6,82},{0,8,1261},{0,6,805},{0,5,322},{0,4,833},{4,0,1261},{0,4,833},{0,7,0},{0,7,0},{0,7,0},{0,4,1},{0,3,225},{0,3,117},{0,3,117},{0,2,125},{0,2,257},{0,2,161},{0,7,0},{0,7,0},{0,7,0},{0,4,1},{1,0,221},
{0,3,117},{0,3,117},{0,2,125},{1,1,221},{0,2,125},{3,2,421},{0,9,52},{0,6,10},{0,6,82},{3,2,421},{5,1,421},{0,6,82},{0,4,433},{5,1,421},{0,4,433},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,14,430},{0,11,29},{0,7,74},{0,7,46},{0,10,1514},{0,8,874},{0,6,307},
{0,5,917},{0,5,1814},{0,4,1074},{0,14,430},{0,11,29},{0,7,74},{0,7,46},{3,0,1514},{0,8,874},{0,6,307},{0,5,917},{5,0,1514},{0,5,917},{0,10,10},{0,10,10},{0,10,10},{0,6,10},{0,5,340},{0,5,160},{0,5,160},{0,3,169},{0,3,421},{0,3,250},{0,10,10},{0,10,10},{0,10,10},{0,6,10},{1,2,338},{0,5,160},{0,5,160},{0,3,169},{1,2,338},
{0,3,169},{4,1,421},{0,11,20},{1,7,5},{0,7,37},{4,1,421},{7,0,421},{0,7,37},{0,5,433},{7,0,421},{0,5,433},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,0},{0,1,0},{0,1,0},{0,1,4},{0,0,9},{0,0,9},{0,17,542},{0,13,130},{0,9,285},{0,8,137},{0,12,1517},{0,9,737},{0,7,185},{0,6,794},{0,7,1982},{0,5,1062},{1,13,450},
{1,11,77},{1,8,34},{1,7,122},{3,3,1517},{0,9,737},{0,7,185},{0,6,794},{2,5,1514},{0,6,794},{0,12,121},{0,12,121},{0,12,121},{0,7,125},{0,8,338},{0,6,98},{0,6,98},{0,4,97},{0,4,514},{0,4,241},{1,9,25},{1,9,25},{1,9,25},{1,6,26},{0,8,338},{0,6,98},{0,6,98},{0,4,97},{4,0,338},{0,4,97},{5,0,421},{0,13,9},{1,8,9},
{0,8,16},{5,0,421},{8,0,421},{0,8,16},{0,6,433},{8,0,421},{0,6,433},{0,0,121},{0,0,121},{0,0,121},{0,0,121},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,37},{0,2,37},{1,16,697},{1,13,297},{1,9,354},{1,9,309},{0,15,1517},{0,11,630},{0,9,50},{0,7,670},{0,8,2198},{0,6,1109},{1,16,441},{1,13,41},{1,9,98},{1,9,53},{4,2,1514},
{0,11,630},{0,9,50},{0,7,670},{6,2,1514},{0,7,670},{1,12,273},{1,12,273},{1,12,273},{1,8,273},{0,11,338},{0,8,41},{0,8,41},{0,5,50},{0,6,680},{0,5,275},{1,12,17},{1,12,17},{1,12,17},{1,8,17},{3,1,338},{0,8,41},{0,8,41},{0,5,50},{3,3,338},{0,5,50},{6,0,421},{0,15,1},{2,9,5},{0,9,1},{6,0,421},{5,6,421},{0,9,1},
{0,7,445},{5,6,421},{0,7,445},{1,0,272},{1,0,272},{1,0,272},{1,0,272},{0,7,1},{0,7,1},{0,7,1},{0,4,0},{0,3,106},{0,3,106},{1,19,821},{1,15,405},{1,11,570},{1,10,410},{0,18,1514},{0,13,577},{0,10,14},{0,8,602},{0,10,2462},{0,7,1175},{2,16,450},{2,13,77},{2,10,35},{2,10,107},{3,8,1514},{0,13,577},{0,10,14},{0,8,602},{4,6,1514},
{0,8,602},{1,14,401},{1,14,401},{1,14,401},{1,9,404},{0,13,340},{0,10,13},{0,10,13},{0,6,29},{0,7,851},{0,6,353},{2,11,25},{2,11,25},{2,11,25},{2,8,26},{4,0,338},{0,10,13},{0,10,13},{0,6,29},{1,7,338},{0,6,29},{5,6,421},{1,15,5},{2,10,10},{0,10,10},{5,6,421},{10,1,421},{0,10,10},{0,8,433},{10,1,421},{0,8,433},{1,0,400},
{1,0,400},{1,0,400},{1,0,400},{0,9,1},{0,9,1},{0,9,1},{0,6,4},{0,4,208},{0,4,208},{1,22,902},{1,17,485},{2,11,750},{1,11,482},{0,21,1566},{0,15,570},{0,11,95},{0,9,582},{0,11,2337},{0,9,933},{2,18,430},{2,15,29},{2,11,74},{2,11,46},{5,4,1514},{0,15,521},{0,11,46},{0,9,533},{9,1,1514},{0,9,533},{1,17,481},{1,17,481},{1,17,481},
{1,11,481},{0,16,387},{0,12,51},{0,12,51},{0,7,75},{0,8,755},{0,7,222},{2,14,10},{2,14,10},{2,14,10},{2,10,10},{3,6,338},{0,12,2},{0,12,2},{0,7,26},{3,6,338},{0,7,26},{7,2,421},{1,17,4},{3,11,5},{1,11,1},{7,2,421},{12,0,421},{1,11,1},{0,9,433},{12,0,421},{0,9,433},{1,0,481},{1,0,481},{1,0,481},{1,0,481},{0,12,50},
{0,12,50},{0,12,50},{0,7,50},{0,6,157},{0,6,157},{2,21,866},{2,17,454},{2,13,609},{2,12,461},{1,20,1515},{1,15,578},{1,12,19},{1,10,603},{0,13,2214},{0,10,707},{3,17,450},{3,15,77},{3,12,34},{3,11,122},{7,0,1514},{0,16,458},{1,12,18},{0,10,482},{4,9,1514},{0,10,482},{2,16,445},{2,16,445},{2,16,445},{2,11,449},{1,15,341},{1,12,19},{1,12,19},
{1,8,26},{0,10,635},{0,8,106},{3,13,25},{3,13,25},{3,13,25},{3,10,26},{5,2,338},{0,14,2},{0,14,2},{0,9,20},{8,1,338},{0,9,20},{7,4,421},{2,17,9},{3,12,9},{1,12,9},{7,4,421},{11,3,421},{1,12,9},{0,10,433},{11,3,421},{0,10,433},{2,0,445},{2,0,445},{2,0,445},{2,0,445},{1,11,2},{1,11,2},{1,11,2},{1,7,10},{0,8,90},
{0,8,90},{2,24,902},{2,19,482},{3,13,723},{2,13,482},{1,23,1578},{1,17,566},{1,14,117},{1,11,590},{0,15,2046},{0,11,535},{3,20,441},{3,17,41},{3,13,98},{3,13,53},{7,3,1514},{0,18,429},{2,13,50},{0,11,454},{11,2,1514},{0,11,454},{2,19,481},{2,19,481},{2,19,481},{2,13,481},{1,18,404},{1,14,68},{1,14,68},{1,10,89},{0,12,557},{0,10,49},{3,16,17},
{3,16,17},{3,16,17},{3,12,17},{5,5,338},{1,14,4},{1,14,4},{0,10,13},{5,7,338},{0,10,13},{8,2,421},{2,19,1},{4,13,5},{2,13,1},{8,2,421},{14,1,421},{2,13,1},{0,11,445},{14,1,421},{0,11,445},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{1,14,64},{1,14,64},{1,14,64},{1,9,65},{0,10,40},{0,10,40},{3,23,854},{3,19,438},{3,15,603},
{3,14,443},{2,22,1515},{2,17,578},{2,14,15},{2,12,603},{0,16,1911},{0,12,458},{4,20,450},{4,17,77},{4,14,35},{4,14,107},{5,12,1514},{0,20,425},{2,14,14},{0,12,433},{13,1,1514},{0,12,433},{3,18,434},{3,18,434},{3,18,434},{3,13,437},{2,17,341},{2,14,14},{2,14,14},{2,10,30},{0,14,477},{0,11,35},{4,15,25},{4,15,25},{4,15,25},{4,12,26},{7,1,338},
{1,16,5},{1,16,5},{1,11,10},{10,2,338},{1,11,10},{8,5,421},{3,19,5},{4,14,10},{2,14,10},{8,5,421},{12,5,421},{2,14,10},{0,12,433},{12,5,421},{0,12,433},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{2,13,2},{2,13,2},{2,13,2},{2,10,5},{0,12,25},{0,12,25},{3,26,902},{3,21,485},{4,15,750},{3,15,482},{2,25,1566},{2,19,570},{2,15,95},
{2,13,582},{0,18,1787},{0,13,442},{4,22,430},{4,19,29},{4,15,74},{4,15,46},{8,3,1514},{1,20,425},{2,15,46},{0,13,442},{11,5,1514},{0,13,442},{3,21,481},{3,21,481},{3,21,481},{3,15,481},{2,20,387},{2,16,51},{2,16,51},{2,11,75},{0,16,419},{1,12,69},{4,18,10},{4,18,10},{4,18,10},{4,14,10},{5,10,338},{2,16,2},{2,16,2},{1,12,20},{12,1,338},
{1,12,20},{9,4,421},{3,21,4},{5,15,5},{3,15,1},{9,4,421},{15,3,421},{3,15,1},{0,13,433},{15,3,421},{0,13,433},{3,0,481},{3,0,481},{3,0,481},{3,0,481},{2,16,50},{2,16,50},{2,16,50},{2,11,50},{0,13,9},{0,13,9},{4,25,866},{4,21,454},{4,17,609},{4,16,461},{3,24,1515},{3,19,578},{3,16,19},{3,14,603},{0,20,1686},{1,14,458},{5,21,450},
{5,19,77},{5,16,34},{5,15,122},{3,24,1514},{1,22,425},{3,16,18},{1,14,433},{14,3,1514},{1,14,433},{4,20,445},{4,20,445},{4,20,445},{4,15,449},{3,19,341},{3,16,19},{3,16,19},{3,12,26},{0,17,372},{1,13,45},{5,17,25},{5,17,25},{5,17,25},{5,14,26},{8,1,338},{2,18,2},{2,18,2},{2,13,20},{10,5,338},{2,13,20},{11,0,421},{4,21,9},{5,16,9},
{3,16,9},{11,0,421},{13,7,421},{3,16,9},{0,14,433},{13,7,421},{0,14,433},{4,0,445},{4,0,445},{4,0,445},{4,0,445},{3,15,2},{3,15,2},{3,15,2},{3,11,10},{0,15,5},{0,15,5},{4,28,902},{4,23,482},{5,17,723},{4,17,482},{3,27,1578},{3,21,566},{3,18,117},{3,15,590},{0,22,1614},{1,15,462},{5,24,441},{5,21,41},{5,17,98},{5,17,53},{5,20,1514},
{2,22,429},{4,17,50},{2,15,454},{13,6,1514},{2,15,454},{4,23,481},{4,23,481},{4,23,481},{4,17,481},{3,22,404},{3,18,68},{3,18,68},{3,14,89},{0,19,347},{2,14,49},{5,20,17},{5,20,17},{5,20,17},{5,16,17},{8,4,338},{3,18,4},{3,18,4},{2,14,13},{14,2,338},{2,14,13},{11,3,421},{4,23,1},{6,17,5},{4,17,1},{11,3,421},{15,6,421},{4,17,1},
{0,15,445},{15,6,421},{0,15,445},{4,0,481},{4,0,481},{4,0,481},{4,0,481},{3,18,64},{3,18,64},{3,18,64},{3,13,65},{1,16,8},{1,16,8},{5,27,854},{5,23,438},{5,19,603},{5,18,443},{4,26,1515},{4,21,578},{4,18,15},{4,16,603},{0,23,1566},{2,16,458},{6,24,450},{6,21,77},{6,18,35},{6,18,107},{11,1,1514},{2,24,425},{4,18,14},{2,16,433},{15,5,1514},
{2,16,433},{5,22,434},{5,22,434},{5,22,434},{5,17,437},{4,21,341},{4,18,14},{4,18,14},{4,14,30},{0,21,341},{2,15,35},{6,19,25},{6,19,25},{6,19,25},{6,16,26},{3,25,338},{3,20,5},{3,20,5},{3,15,10},{12,6,338},{3,15,10},{12,2,421},{5,23,5},{6,18,10},{4,18,10},{12,2,421},{14,9,421},{4,18,10},{0,16,433},{14,9,421},{0,16,433},{5,0,433},
{5,0,433},{5,0,433},{5,0,433},{4,17,2},{4,17,2},{4,17,2},{4,14,5},{1,17,10},{1,17,10},{5,30,902},{5,25,485},{6,19,750},{5,19,482},{4,29,1566},{4,23,570},{4,19,95},{4,17,582},{0,25,1533},{2,17,442},{6,26,430},{6,23,29},{6,19,74},{6,19,46},{10,7,1514},{3,24,425},{4,19,46},{2,17,442},{13,9,1514},{2,17,442},{5,25,481},{5,25,481},{5,25,481},
{5,19,481},{4,24,387},{4,20,51},{4,20,51},{4,15,75},{1,21,341},{3,16,69},{6,22,10},{6,22,10},{6,22,10},{6,18,10},{9,6,338},{4,20,2},{4,20,2},{3,16,20},{14,5,338},{3,16,20},{11,8,421},{5,25,4},{7,19,5},{5,19,1},{11,8,421},{11,14,421},{5,19,1},{0,17,433},{11,14,421},{0,17,433},{5,0,481},{5,0,481},{5,0,481},{5,0,481},{4,20,50},
{4,20,50},{4,20,50},{4,15,50},{2,17,9},{2,17,9},{6,29,866},{6,25,454},{6,21,609},{6,20,461},{5,28,1515},{5,23,578},{5,20,19},{5,18,603},{0,27,1521},{3,18,458},{7,25,450},{7,23,77},{7,20,34},{7,19,122},{12,3,1514},{3,26,425},{5,20,18},{3,18,433},{11,13,1514},{3,18,433},{6,24,445},{6,24,445},{6,24,445},{6,19,449},{5,23,341},{5,20,19},{5,20,19},
{5,16,26},{1,23,341},{3,17,45},{7,21,25},{7,21,25},{7,21,25},{7,18,26},{10,5,338},{4,22,2},{4,22,2},{4,17,20},{12,9,338},{4,17,20},{13,4,421},{6,25,9},{7,20,9},{5,20,9},{13,4,421},{15,11,421},{5,20,9},{0,18,433},{15,11,421},{0,18,433},{6,0,445},{6,0,445},{6,0,445},{6,0,445},{5,19,2},{5,19,2},{5,19,2},{5,15,10},{2,19,5},
{2,19,5},{6,31,914},{6,27,482},{7,21,723},{6,21,482},{5,31,1578},{5,25,566},{5,22,117},{5,19,590},{1,27,1535},{3,19,462},{7,28,441},{7,25,41},{7,21,98},{7,21,53},{8,19,1514},{4,26,429},{6,21,50},{4,19,454},{15,10,1514},{4,19,454},{6,27,481},{6,27,481},{6,27,481},{6,21,481},{5,26,404},{5,22,68},{5,22,68},{5,18,89},{2,23,347},{4,18,49},{7,24,17},
{7,24,17},{7,24,17},{7,20,17},{10,8,338},{5,22,4},{5,22,4},{4,18,13},{11,12,338},{4,18,13},{15,0,421},{6,27,1},{8,21,50},{6,21,1},{15,0,421},{13,15,421},{6,21,1},{0,19,445},{13,15,421},{0,19,445},{6,0,481},{6,0,481},{6,0,481},{6,0,481},{5,22,64},{5,22,64},{5,22,64},{5,17,65},{3,20,8},{3,20,8},{7,31,854},{7,27,438},{7,23,603},
{7,22,443},{6,30,1515},{6,25,578},{6,22,15},{6,20,603},{1,29,1518},{4,20,458},{7,31,565},{7,27,149},{8,22,174},{7,22,154},{13,5,1514},{4,28,425},{6,22,14},{4,20,433},{12,15,1514},{4,20,433},{7,26,434},{7,26,434},{7,26,434},{7,21,437},{6,25,341},{6,22,14},{6,22,14},{6,18,30},{2,25,341},{4,19,35},{7,26,145},{7,26,145},{7,26,145},{7,21,148},{9,14,338},
{5,24,5},{5,24,5},{5,19,10},{14,10,338},{5,19,10},{15,3,421},{7,27,5},{8,22,5},{6,22,10},{15,3,421},{15,14,421},{6,22,10},{0,20,433},{15,14,421},{0,20,433},{7,0,433},{7,0,433},{7,0,433},{7,0,433},{6,21,2},{6,21,2},{6,21,2},{6,18,5},{3,21,10},{3,21,10},{7,31,1046},{7,29,485},{7,24,770},{7,23,482},{7,29,1598},{6,27,570},{6,23,95},
{6,21,582},{2,29,1533},{4,21,442},{8,28,450},{8,26,77},{8,23,35},{8,23,107},{15,1,1514},{5,28,425},{6,23,46},{4,21,442},{15,13,1514},{4,21,442},{7,29,481},{7,29,481},{7,29,481},{7,23,481},{6,28,387},{6,24,51},{6,24,51},{6,19,75},{3,25,341},{5,20,69},{8,24,25},{8,24,25},{8,24,25},{8,21,26},{11,10,338},{6,24,2},{6,24,2},{5,20,20},{5,23,338},
{5,20,20},{13,12,421},{7,29,4},{8,23,10},{7,23,1},{13,12,421},{13,18,421},{7,23,1},{0,21,433},{13,18,421},{0,21,433},{7,0,481},{7,0,481},{7,0,481},{7,0,481},{6,24,50},{6,24,50},{6,24,50},{6,19,50},{4,21,9},{4,21,9},{8,31,1106},{8,28,714},{8,24,749},{8,24,734},{7,31,1542},{7,27,578},{7,24,19},{7,22,603},{2,31,1521},{5,22,458},{8,31,430},
{8,28,38},{8,24,73},{8,24,58},{14,7,1514},{5,30,425},{7,24,18},{5,22,433},{13,17,1514},{5,22,433},{8,27,686},{8,27,686},{8,27,686},{8,23,686},{7,27,341},{7,24,19},{7,24,19},{7,20,26},{3,27,341},{5,21,45},{8,27,10},{8,27,10},{8,27,10},{8,23,10},{12,9,338},{6,26,2},{6,26,2},{6,21,20},{14,13,338},{6,21,20},{15,8,421},{7,31,20},{9,24,4},
{7,24,9},{15,8,421},{15,17,421},{7,24,9},{0,22,433},{15,17,421},{0,22,433},{8,0,685},{8,0,685},{8,0,685},{8,0,685},{7,23,2},{7,23,2},{7,23,2},{7,19,10},{4,23,5},{4,23,5},{8,31,1034},{8,30,438},{8,26,603},{8,25,443},{8,30,1806},{7,29,566},{7,26,117},{7,23,590},{3,31,1535},{5,23,462},{9,31,437},{9,28,77},{9,25,33},{9,25,98},{10,23,1514},
{6,30,429},{7,26,53},{6,23,454},{11,21,1514},{6,23,454},{8,29,434},{8,29,434},{8,29,434},{8,24,437},{7,30,404},{7,26,68},{7,26,68},{7,22,89},{4,27,347},{6,22,49},{9,26,17},{9,26,17},{9,26,17},{9,23,20},{15,2,338},{7,26,4},{7,26,4},{6,22,13},{13,16,338},{6,22,13},{15,11,421},{8,30,5},{9,25,17},{8,25,10},{15,11,421},{15,19,421},{8,25,10},
{0,23,445},{15,19,421},{0,23,445},{8,0,433},{8,0,433},{8,0,433},{8,0,433},{7,26,64},{7,26,64},{7,26,64},{7,21,65},{5,24,8},{5,24,8},{9,31,1174},{8,31,506},{9,26,723},{8,26,482},{8,31,1643},{7,30,717},{8,26,131},{7,24,725},{4,31,1566},{6,24,458},{9,31,549},{9,30,41},{9,26,98},{9,26,53},{15,9,1514},{7,30,461},{8,26,50},{6,24,433},{14,19,1514},
{6,24,433},{8,31,490},{8,31,490},{8,31,490},{8,26,481},{8,28,421},{8,25,122},{8,25,122},{8,22,131},{4,29,341},{6,23,35},{9,29,17},{9,29,17},{9,29,17},{9,25,17},{11,18,338},{7,28,5},{7,28,5},{7,23,10},{10,21,338},{7,23,10},{14,17,421},{9,30,25},{10,26,5},{8,26,1},{14,17,421},{13,23,421},{8,26,1},{0,24,433},{13,23,421},{0,24,433},{8,0,481},
{8,0,481},{8,0,481},{8,0,481},{8,24,82},{8,24,82},{8,24,82},{8,21,81},{5,25,10},{5,25,10},{9,31,1334},{9,31,470},{9,28,597},{9,27,443},{9,31,1815},{8,30,578},{8,27,15},{8,25,603},{5,31,1638},{6,25,442},{10,31,506},{10,30,77},{10,27,35},{10,27,107},{14,15,1514},{7,31,506},{8,27,14},{6,25,442},{12,23,1514},{6,25,442},{9,31,434},{9,31,434},{9,31,434},
{9,26,437},{8,30,341},{8,27,14},{8,27,14},{8,23,30},{5,29,341},{7,24,69},{10,28,25},{10,28,25},{10,28,25},{10,25,26},{13,14,338},{8,27,13},{8,27,13},{7,24,20},{8,25,338},{7,24,20},{15,16,421},{9,31,37},{10,27,10},{8,27,10},{15,16,421},{15,22,421},{8,27,10},{0,25,433},{15,22,421},{0,25,433},{9,0,433},{9,0,433},{9,0,433},{9,0,433},{8,26,2},
{8,26,2},{8,26,2},{8,23,5},{6,25,9},{6,25,9},{10,31,1470},{10,31,735},{10,28,749},{9,28,481},{9,31,1895},{8,31,579},{8,28,89},{8,26,582},{6,31,1761},{7,26,458},{11,31,614},{10,31,59},{10,28,73},{10,28,58},{13,21,1514},{8,31,530},{8,28,40},{7,26,433},{15,21,1514},{7,26,433},{9,31,562},{9,31,562},{9,31,562},{9,28,481},{9,30,421},{8,29,51},{8,29,51},
{8,24,65},{5,31,341},{7,25,45},{10,31,10},{10,31,10},{10,31,10},{10,27,10},{14,13,338},{8,29,2},{8,29,2},{8,24,16},{11,23,338},{8,24,16},{15,19,421},{10,31,50},{11,28,4},{9,28,0},{15,19,421},{13,26,421},{9,28,0},{0,26,433},{13,26,421},{0,26,433},{9,0,481},{9,0,481},{9,0,481},{9,0,481},{8,29,50},{8,29,50},{8,29,50},{8,24,49},{6,27,5},
{6,27,5},{11,31,1838},{10,31,753},{10,30,603},{10,29,443},{10,31,2046},{9,31,629},{9,29,21},{9,27,589},{7,31,1935},{7,27,462},{11,31,749},{11,31,120},{11,29,33},{11,29,98},{12,27,1514},{9,31,629},{9,29,21},{7,27,461},{13,25,1514},{7,27,461},{10,31,497},{10,31,497},{10,31,497},{10,28,437},{9,31,388},{9,29,20},{9,29,20},{9,25,29},{6,31,347},{8,25,105},{11,30,17},
{11,30,17},{11,30,17},{11,27,20},{14,16,338},{8,31,4},{8,31,4},{8,26,10},{15,20,338},{8,26,10},{14,25,421},{11,31,104},{11,29,17},{10,29,10},{14,25,421},{12,29,421},{10,29,10},{0,27,445},{12,29,421},{0,27,445},{10,0,433},{10,0,433},{10,0,433},{10,0,433},{9,28,1},{9,28,1},{9,28,1},{9,25,4},{7,28,8},{7,28,8},{11,31,1902},{11,31,1001},{11,30,723},
{10,30,482},{11,31,2286},{10,31,782},{9,31,117},{9,28,578},{8,31,2118},{7,29,491},{12,31,770},{12,31,338},{11,30,98},{11,30,53},{14,23,1514},{10,31,701},{10,30,50},{8,28,442},{11,29,1514},{8,28,442},{11,31,677},{11,31,677},{11,31,677},{10,30,481},{10,31,437},{9,31,68},{9,31,68},{9,27,89},{7,31,379},{8,27,49},{11,31,52},{11,31,52},{11,31,52},{11,29,17},{13,22,338},
{9,31,4},{9,31,4},{8,27,13},{12,25,338},{8,27,13},{15,24,421},{12,31,169},{12,30,5},{10,30,1},{15,24,421},{15,27,421},{10,30,1},{0,28,433},{15,27,421},{0,28,433},{10,0,481},{10,0,481},{10,0,481},{10,0,481},{9,31,64},{9,31,64},{9,31,64},{9,26,65},{7,29,10},{7,29,10},{12,31,2151},{11,31,1254},{11,31,629},{11,31,442},{11,31,2393},{10,31,975},{10,31,14},
{10,29,570},{9,31,2241},{8,29,425},{13,31,931},{12,31,395},{12,31,34},{12,30,105},{13,29,1459},{11,31,778},{10,31,13},{8,29,400},{14,27,1459},{8,29,400},{11,31,629},{11,31,629},{11,31,629},{11,30,437},{10,31,581},{10,31,14},{10,31,14},{10,27,30},{8,31,477},{8,28,45},{12,31,34},{12,31,34},{12,31,34},{12,29,26},{15,18,338},{10,31,13},{10,31,13},{9,28,17},{10,29,338},
{9,28,17},{15,27,394},{13,31,218},{12,31,9},{10,31,9},{15,27,394},{15,28,394},{10,31,9},{0,29,400},{15,28,394},{0,29,400},{11,0,433},{11,0,433},{11,0,433},{11,0,433},{10,30,2},{10,30,2},{10,30,2},{10,27,5},{8,29,25},{8,29,25},{12,31,1767},{12,31,1167},{12,31,806},{11,31,506},{12,31,1983},{11,31,747},{11,31,122},{10,29,346},{10,31,1836},{8,30,217},{13,31,611},
{13,31,339},{12,31,130},{12,31,10},{15,24,1064},{12,31,587},{11,31,41},{8,30,217},{15,27,1067},{8,30,217},{12,31,806},{12,31,806},{12,31,806},{11,31,506},{11,31,581},{11,31,122},{11,31,122},{10,28,65},{9,31,557},{9,29,69},{12,31,130},{12,31,130},{12,31,130},{12,31,10},{13,27,338},{11,31,41},{11,31,41},{10,28,16},{13,27,338},{10,28,16},{14,31,200},{14,31,136},{13,31,1},
{12,31,1},{14,31,200},{15,29,200},{12,31,1},{0,30,208},{15,29,200},{0,30,208},{11,0,481},{11,0,481},{11,0,481},{11,0,481},{11,30,82},{11,30,82},{11,30,82},{10,28,49},{8,30,9},{8,30,9},{13,31,1646},{12,31,1194},{12,31,833},{12,31,497},{12,31,1686},{12,31,750},{11,31,221},{11,30,122},{11,31,1541},{9,30,110},{14,31,542},{13,31,285},{13,31,116},{13,31,20},{15,26,722},
{13,31,429},{12,31,100},{10,30,74},{14,29,722},{10,30,74},{12,31,833},{12,31,833},{12,31,833},{12,31,497},{12,31,725},{11,31,221},{11,31,221},{11,29,29},{10,31,632},{9,30,46},{13,31,116},{13,31,116},{13,31,116},{13,31,20},{13,30,338},{12,31,100},{12,31,100},{10,30,10},{12,30,338},{10,30,10},{15,29,61},{14,31,37},{14,31,1},{13,31,4},{15,29,61},{15,30,61},{13,31,4},
{0,30,73},{15,30,61},{0,30,73},{12,0,433},{12,0,433},{12,0,433},{12,0,433},{11,31,25},{11,31,25},{11,31,25},{11,29,4},{9,31,17},{9,31,17},{13,31,1406},{13,31,1134},{13,31,965},{12,31,737},{13,31,1454},{12,31,702},{12,31,341},{11,31,89},{11,31,1381},{10,31,49},{14,31,318},{14,31,254},{14,31,218},{13,31,116},{14,31,510},{13,31,333},{13,31,164},{10,31,13},{14,30,509},
{10,31,13},{13,31,965},{13,31,965},{13,31,965},{12,31,737},{12,31,869},{12,31,341},{12,31,341},{11,31,89},{11,31,756},{10,31,49},{14,31,218},{14,31,218},{14,31,218},{13,31,116},{15,26,338},{13,31,164},{13,31,164},{10,31,13},{14,29,338},{10,31,13},{15,30,9},{15,31,9},{15,31,9},{14,31,9},{15,30,9},{15,31,9},{14,31,9},{0,31,9},{15,31,9},{0,31,9},{12,0,481},
{12,0,481},{12,0,481},{12,0,481},{12,31,85},{12,31,85},{12,31,85},{11,30,65},{10,31,40},{10,31,40},{13,31,1315},{13,31,1043},{13,31,874},{13,31,602},{13,31,1171},{13,31,627},{13,31,458},{12,31,5},{12,31,1087},{11,31,80},{14,31,225},{14,31,161},{14,31,125},{14,31,61},{15,29,297},{14,31,193},{14,31,157},{12,31,4},{14,31,297},{12,31,4},{13,31,874},{13,31,874},{13,31,874},
{13,31,602},{13,31,730},{13,31,458},{13,31,458},{12,31,5},{11,31,705},{11,31,80},{14,31,125},{14,31,125},{14,31,125},{14,31,61},{14,31,221},{14,31,157},{14,31,157},{12,31,4},{15,29,221},{12,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{13,0,433},{13,0,433},{13,0,433},{13,0,433},{12,31,101},
{12,31,101},{12,31,101},{12,31,5},{11,31,80},{11,31,80},{14,31,885},{14,31,821},{14,31,785},{13,31,650},{14,31,885},{13,31,483},{13,31,314},{13,31,81},{13,31,779},{11,31,144},{15,31,169},{14,31,145},{14,31,109},{14,31,45},{15,30,118},{14,31,81},{14,31,45},{13,31,0},{15,30,114},{13,31,0},{14,31,785},{14,31,785},{14,31,785},{13,31,650},{13,31,586},{13,31,314},{13,31,314},
{13,31,81},{12,31,518},{11,31,144},{14,31,109},{14,31,109},{14,31,109},{14,31,45},{15,29,85},{14,31,45},{14,31,45},{13,31,0},{14,31,85},{13,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{13,0,481},{13,0,481},{13,0,481},{13,0,481},{13,31,145},{13,31,145},{13,31,145},{13,31,81},{11,31,144},
{11,31,144},{0,13,884},{0,10,225},{0,7,18},{0,6,265},{0,9,1899},{0,7,1355},{0,6,589},{0,4,1354},{0,5,2124},{0,4,1498},{0,13,884},{0,10,225},{0,7,18},{0,6,265},{2,2,1896},{0,7,1355},{0,6,589},{0,4,1354},{1,4,1896},{0,4,1354},{0,6,0},{0,6,0},{0,6,0},{0,4,4},{0,3,162},{0,3,90},{0,3,90},{0,2,104},{0,2,200},{0,1,134},{0,6,0},
{0,6,0},{0,6,0},{0,4,4},{0,3,162},{0,3,90},{0,3,90},{0,2,104},{0,2,164},{0,2,104},{3,3,882},{0,10,225},{0,7,18},{0,6,265},{3,3,882},{4,3,882},{0,6,265},{0,5,890},{4,3,882},{0,5,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,15,884},{0,12,170},{0,8,8},
{0,7,202},{0,10,2360},{0,8,1530},{0,7,643},{0,5,1579},{0,6,2684},{0,5,1804},{0,15,884},{0,12,170},{0,8,8},{0,7,202},{1,7,2355},{0,8,1530},{0,7,643},{0,5,1579},{1,5,2355},{0,5,1579},{0,9,1},{0,9,1},{0,9,1},{0,5,1},{0,4,340},{0,4,180},{0,4,180},{0,2,200},{0,2,392},{0,2,236},{0,9,1},{0,9,1},{0,9,1},{0,5,1},{1,1,338},
{0,4,180},{0,4,180},{0,2,200},{2,0,340},{0,2,200},{4,2,882},{0,12,170},{0,8,8},{0,7,202},{4,2,882},{6,2,882},{0,7,202},{0,6,890},{6,2,882},{0,6,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,18,882},{0,14,106},{0,10,52},{0,9,148},{0,12,2899},{0,9,1773},{0,8,725},
{0,6,1854},{0,7,3348},{0,5,2124},{0,18,882},{0,14,106},{0,10,52},{0,9,148},{1,9,2899},{0,9,1773},{0,8,725},{0,6,1854},{6,0,2899},{0,6,1854},{0,11,1},{0,11,1},{0,11,1},{0,7,1},{0,6,580},{0,5,306},{0,5,306},{0,3,325},{0,3,667},{0,3,406},{0,11,1},{0,11,1},{0,11,1},{0,7,1},{1,2,580},{0,5,306},{0,5,306},{0,3,325},{2,1,578},
{0,3,325},{3,8,882},{0,14,106},{1,9,13},{0,9,148},{3,8,882},{4,6,882},{0,9,148},{0,7,890},{4,6,882},{0,7,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,21,920},{0,16,89},{0,11,153},{0,10,121},{0,14,3051},{0,11,1709},{0,9,557},{0,7,1795},{0,8,3651},{0,6,2174},{0,21,920},
{0,16,89},{1,10,108},{0,10,121},{4,1,3048},{0,11,1709},{0,9,557},{0,7,1795},{3,5,3048},{0,7,1795},{0,14,37},{0,14,37},{0,14,37},{0,8,37},{0,8,648},{0,7,274},{0,7,274},{0,4,277},{0,4,824},{0,4,421},{0,14,37},{0,14,37},{0,14,37},{0,8,37},{0,8,648},{0,7,274},{0,7,274},{0,4,277},{4,0,648},{0,4,277},{5,4,882},{0,16,53},{1,10,8},
{0,10,85},{5,4,882},{9,1,882},{0,10,85},{0,8,900},{9,1,882},{0,8,900},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,10},{0,1,10},{0,23,1115},{0,18,242},{1,12,309},{0,11,259},{0,17,3051},{0,13,1579},{0,10,346},{0,8,1630},{0,9,3924},{0,7,2173},{1,20,885},{1,16,90},{1,12,53},{1,11,131},{4,4,3048},
{0,13,1579},{0,10,346},{0,8,1630},{7,2,3048},{0,8,1630},{0,17,226},{0,17,226},{0,17,226},{0,10,225},{0,11,648},{0,9,169},{0,9,169},{0,5,200},{0,6,990},{0,5,425},{1,13,2},{1,13,2},{1,13,2},{1,9,2},{3,1,648},{0,9,169},{0,9,169},{0,5,200},{3,3,648},{0,5,200},{5,7,882},{0,18,17},{2,11,18},{0,11,34},{5,7,882},{6,7,882},{0,11,34},
{0,9,890},{6,7,882},{0,9,890},{0,0,225},{0,0,225},{0,0,225},{0,0,225},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,61},{0,2,61},{1,23,1187},{1,18,350},{1,13,422},{1,12,373},{0,20,3048},{0,15,1443},{0,12,204},{0,9,1483},{0,11,4212},{0,8,2174},{1,23,931},{1,18,94},{2,12,108},{1,12,117},{6,0,3048},{0,15,1443},{0,12,204},{0,9,1483},{5,6,3048},
{0,9,1483},{1,16,305},{1,16,305},{1,16,305},{1,10,309},{0,13,650},{0,11,109},{0,11,109},{0,7,148},{0,7,1161},{0,6,473},{1,16,49},{1,16,49},{1,16,49},{1,10,53},{4,0,648},{0,11,109},{0,11,109},{0,7,148},{1,7,648},{0,7,148},{7,3,882},{0,20,8},{2,12,8},{0,12,8},{7,3,882},{11,2,882},{0,12,8},{0,10,890},{11,2,882},{0,10,890},{1,0,305},
{1,0,305},{1,0,305},{1,0,305},{0,8,1},{0,8,1},{0,8,1},{0,5,4},{0,3,145},{0,3,145},{1,25,1365},{1,20,497},{1,14,713},{1,13,510},{0,23,3051},{0,16,1278},{0,13,86},{0,10,1354},{0,12,4609},{0,9,2228},{2,22,886},{2,18,110},{2,14,56},{2,13,152},{5,6,3048},{0,16,1278},{0,13,86},{0,10,1354},{10,1,3048},{0,10,1354},{1,19,482},{1,19,482},{1,19,482},
{1,12,481},{0,16,648},{0,12,72},{0,12,72},{0,8,101},{0,8,1352},{0,7,557},{2,15,5},{2,15,5},{2,15,5},{2,11,5},{3,6,648},{0,12,72},{0,12,72},{0,8,101},{3,6,648},{0,8,101},{5,12,882},{0,21,10},{3,13,13},{0,13,5},{5,12,882},{13,1,882},{0,13,5},{0,11,890},{13,1,882},{0,11,890},{1,0,481},{1,0,481},{1,0,481},{1,0,481},{0,10,1},
{0,10,1},{0,10,1},{0,6,1},{0,5,261},{0,5,261},{1,28,1667},{1,22,793},{1,15,1182},{1,14,793},{0,25,3048},{0,18,1170},{0,14,36},{0,11,1243},{0,14,5005},{0,10,2318},{2,25,920},{2,20,89},{3,14,108},{2,14,121},{7,2,3048},{0,18,1170},{0,14,36},{0,11,1243},{12,0,3048},{0,11,1243},{1,21,786},{1,21,786},{1,21,786},{1,14,789},{0,19,650},{0,14,32},{0,14,32},
{0,9,50},{0,9,1619},{0,8,661},{2,18,37},{2,18,37},{2,18,37},{2,12,37},{5,2,648},{0,14,32},{0,14,32},{0,9,50},{8,1,648},{0,9,50},{8,3,882},{1,22,8},{3,14,8},{1,14,8},{8,3,882},{11,5,882},{1,14,8},{0,12,900},{11,5,882},{0,12,900},{1,0,785},{1,0,785},{1,0,785},{1,0,785},{0,13,1},{0,13,1},{0,13,1},{0,8,4},{0,6,405},
{0,6,405},{2,27,1844},{2,22,971},{2,16,1186},{2,15,988},{0,28,3084},{0,20,1095},{0,16,77},{0,12,1159},{0,16,4945},{0,12,2084},{3,24,885},{3,20,90},{3,16,53},{3,15,131},{6,8,3048},{0,20,1059},{0,16,41},{0,12,1123},{4,12,3048},{0,12,1123},{2,21,955},{2,21,955},{2,21,955},{2,14,954},{0,22,686},{0,16,41},{0,16,41},{0,10,49},{0,11,1577},{0,9,545},{3,17,2},
{3,17,2},{3,17,2},{3,13,2},{5,5,648},{0,16,5},{0,16,5},{0,10,13},{5,7,648},{0,10,13},{8,6,882},{1,24,9},{4,15,18},{1,15,13},{8,6,882},{15,2,882},{1,15,13},{0,13,890},{15,2,882},{0,13,890},{2,0,954},{2,0,954},{2,0,954},{2,0,954},{0,16,37},{0,16,37},{0,16,37},{0,9,40},{0,8,373},{0,8,373},{2,30,1772},{2,24,898},{2,17,1287},
{2,16,898},{1,27,3055},{1,20,1143},{1,16,33},{1,13,1214},{0,17,4639},{0,13,1730},{3,27,931},{3,22,94},{4,16,108},{3,16,117},{5,14,3048},{0,21,996},{1,16,29},{0,13,1054},{14,1,3048},{0,13,1054},{2,23,891},{2,23,891},{2,23,891},{2,16,894},{1,21,652},{1,16,29},{1,16,29},{1,11,44},{0,13,1452},{0,11,365},{3,20,49},{3,20,49},{3,20,49},{3,14,53},{7,1,648},
{0,18,1},{0,18,1},{0,11,4},{10,2,648},{0,11,4},{5,20,882},{2,24,8},{4,16,8},{2,16,8},{5,20,882},{13,6,882},{2,16,8},{0,14,890},{13,6,882},{0,14,890},{2,0,890},{2,0,890},{2,0,890},{2,0,890},{1,15,4},{1,15,4},{1,15,4},{1,10,5},{0,9,269},{0,9,269},{3,29,1838},{3,24,970},{3,18,1186},{3,17,983},{1,30,3084},{1,22,1095},{1,18,77},
{1,14,1159},{0,19,4419},{0,14,1444},{4,26,886},{4,22,110},{4,18,56},{4,17,152},{8,5,3048},{0,23,936},{1,18,41},{0,14,1003},{12,5,3048},{0,14,1003},{3,23,955},{3,23,955},{3,23,955},{3,16,954},{1,23,692},{1,18,41},{1,18,41},{1,12,46},{0,15,1296},{0,12,235},{4,19,5},{4,19,5},{4,19,5},{4,15,5},{5,10,648},{1,18,5},{1,18,5},{0,12,10},{12,1,648},
{0,12,10},{11,1,882},{2,25,10},{5,17,13},{2,17,5},{11,1,882},{15,5,882},{2,17,5},{0,15,890},{15,5,882},{0,15,890},{3,0,954},{3,0,954},{3,0,954},{3,0,954},{1,18,37},{1,18,37},{1,18,37},{1,11,40},{0,11,185},{0,11,185},{3,31,1790},{3,26,898},{3,19,1287},{3,18,898},{2,29,3057},{2,22,1179},{2,18,45},{1,15,1250},{0,20,4156},{0,15,1226},{4,29,920},
{4,24,89},{5,18,108},{4,18,121},{3,26,3048},{0,25,909},{2,18,36},{0,15,970},{15,3,3048},{0,15,970},{3,25,891},{3,25,891},{3,25,891},{3,18,894},{2,23,659},{2,18,41},{2,18,41},{2,13,59},{0,16,1137},{0,13,137},{4,22,37},{4,22,37},{4,22,37},{4,16,37},{8,1,648},{1,20,2},{1,20,2},{1,13,1},{10,5,648},{1,13,1},{10,7,882},{3,26,8},{5,18,8},
{3,18,8},{10,7,882},{13,9,882},{3,18,8},{0,16,900},{13,9,882},{0,16,900},{3,0,890},{3,0,890},{3,0,890},{3,0,890},{2,17,10},{2,17,10},{2,17,10},{2,12,13},{0,13,136},{0,13,136},{4,31,1844},{4,26,971},{4,20,1186},{4,19,988},{2,31,3111},{2,24,1095},{2,20,77},{2,16,1159},{0,22,3940},{0,16,1055},{5,28,885},{5,24,90},{5,20,53},{5,19,131},{5,22,3048},
{0,27,886},{2,20,41},{0,17,926},{8,13,3048},{0,17,926},{4,25,955},{4,25,955},{4,25,955},{4,18,954},{2,26,686},{2,20,41},{2,20,41},{2,14,49},{0,18,1002},{0,15,110},{5,21,2},{5,21,2},{5,21,2},{5,17,2},{8,4,648},{2,20,5},{2,20,5},{2,14,13},{14,2,648},{2,14,13},{13,0,882},{3,28,9},{6,19,18},{3,19,13},{13,0,882},{5,21,882},{3,19,13},
{0,17,890},{5,21,882},{0,17,890},{4,0,954},{4,0,954},{4,0,954},{4,0,954},{2,20,37},{2,20,37},{2,20,37},{2,13,40},{0,15,74},{0,15,74},{4,31,1972},{4,28,898},{4,21,1287},{4,20,898},{3,31,3055},{3,24,1143},{3,20,33},{3,17,1214},{0,23,3820},{0,18,963},{5,31,931},{5,26,94},{6,20,108},{5,20,117},{11,3,3048},{0,28,899},{3,20,29},{0,18,899},{11,11,3048},
{0,18,899},{4,27,891},{4,27,891},{4,27,891},{4,20,894},{3,25,652},{3,20,29},{3,20,29},{3,15,44},{0,20,876},{0,16,102},{5,24,49},{5,24,49},{5,24,49},{5,18,53},{3,25,648},{2,22,1},{2,22,1},{2,15,4},{12,6,648},{2,15,4},{8,19,882},{4,28,8},{6,20,8},{4,20,8},{8,19,882},{15,10,882},{4,20,8},{0,18,890},{15,10,882},{0,18,890},{4,0,890},
{4,0,890},{4,0,890},{4,0,890},{3,19,4},{3,19,4},{3,19,4},{3,14,5},{0,17,29},{0,17,29},{5,31,1964},{5,28,970},{5,22,1186},{5,21,983},{4,31,3172},{3,26,1095},{3,22,77},{3,18,1159},{0,25,3679},{0,19,899},{6,30,886},{6,26,110},{6,22,56},{6,21,152},{10,9,3048},{1,29,888},{3,22,41},{0,19,890},{14,9,3048},{0,19,890},{5,27,955},{5,27,955},{5,27,955},
{5,20,954},{3,27,692},{3,22,41},{3,22,41},{3,16,46},{0,22,800},{1,16,98},{6,23,5},{6,23,5},{6,23,5},{6,19,5},{9,6,648},{3,22,5},{3,22,5},{2,16,10},{14,5,648},{2,16,10},{13,5,882},{4,29,10},{7,21,13},{4,21,5},{13,5,882},{12,15,882},{4,21,5},{0,19,890},{12,15,882},{0,19,890},{5,0,954},{5,0,954},{5,0,954},{5,0,954},{3,22,37},
{3,22,37},{3,22,37},{3,15,40},{0,19,9},{0,19,9},{6,31,2264},{5,30,898},{5,23,1287},{5,22,898},{4,31,3204},{4,26,1179},{4,22,45},{3,19,1250},{0,27,3523},{0,20,908},{6,31,968},{6,28,89},{7,22,108},{6,22,121},{9,15,3048},{1,30,899},{4,22,36},{0,20,904},{5,22,3048},{0,20,904},{5,29,891},{5,29,891},{5,29,891},{5,22,894},{4,27,659},{4,22,41},{4,22,41},
{4,17,59},{0,23,747},{1,18,102},{6,26,37},{6,26,37},{6,26,37},{6,20,37},{10,5,648},{3,24,2},{3,24,2},{3,17,1},{12,9,648},{3,17,1},{15,1,882},{5,30,8},{7,22,8},{5,22,8},{15,1,882},{15,13,882},{5,22,8},{0,20,900},{15,13,882},{0,20,900},{5,0,890},{5,0,890},{5,0,890},{5,0,890},{4,21,10},{4,21,10},{4,21,10},{4,16,13},{0,20,8},
{0,20,8},{6,31,2228},{6,30,971},{6,24,1186},{6,23,988},{5,31,3256},{4,28,1095},{4,24,77},{4,20,1159},{0,29,3364},{1,21,894},{7,31,915},{7,28,90},{7,24,53},{7,23,131},{14,1,3048},{2,31,886},{4,24,41},{1,21,890},{10,17,3048},{1,21,890},{6,29,955},{6,29,955},{6,29,955},{6,22,954},{4,30,686},{4,24,41},{4,24,41},{4,18,49},{0,25,705},{2,19,110},{7,25,2},
{7,25,2},{7,25,2},{7,21,2},{10,8,648},{4,24,5},{4,24,5},{4,18,13},{11,12,648},{4,18,13},{15,4,882},{6,30,17},{7,24,52},{5,23,13},{15,4,882},{9,22,882},{5,23,13},{0,21,890},{9,22,882},{0,21,890},{6,0,954},{6,0,954},{6,0,954},{6,0,954},{4,24,37},{4,24,37},{4,24,37},{4,17,40},{1,21,4},{1,21,4},{7,31,2444},{6,31,907},{6,25,1287},
{6,24,898},{6,31,3436},{5,28,1143},{5,24,33},{5,21,1214},{0,31,3276},{1,22,908},{8,30,1208},{7,30,94},{7,25,166},{7,24,117},{13,7,3048},{3,31,906},{5,24,29},{1,22,899},{13,15,3048},{1,22,899},{6,31,891},{6,31,891},{6,31,891},{6,24,894},{5,29,652},{5,24,29},{5,24,29},{5,19,44},{0,27,665},{2,20,102},{7,28,49},{7,28,49},{7,28,49},{7,22,53},{9,14,648},
{4,26,1},{4,26,1},{4,19,4},{14,10,648},{4,19,4},{10,23,882},{6,31,17},{8,24,13},{6,24,8},{10,23,882},{11,21,882},{6,24,8},{0,22,890},{11,21,882},{0,22,890},{6,0,890},{6,0,890},{6,0,890},{6,0,890},{5,23,4},{5,23,4},{5,23,4},{5,18,5},{1,23,4},{1,23,4},{7,31,2636},{7,31,991},{7,26,1186},{7,25,983},{6,31,3532},{5,30,1095},{5,26,77},
{5,22,1159},{0,31,3340},{2,23,899},{8,31,1014},{7,31,262},{8,25,108},{7,25,254},{15,3,3048},{4,31,936},{5,26,41},{2,23,890},{11,19,3048},{2,23,890},{7,31,955},{7,31,955},{7,31,955},{7,24,954},{5,31,692},{5,26,41},{5,26,41},{5,20,46},{0,29,651},{3,20,98},{8,26,101},{8,26,101},{8,26,101},{8,22,101},{11,10,648},{5,26,5},{5,26,5},{4,20,10},{5,23,648},
{4,20,10},{15,9,882},{7,31,37},{8,25,8},{6,25,5},{15,9,882},{14,19,882},{6,25,5},{0,23,890},{14,19,882},{0,23,890},{7,0,954},{7,0,954},{7,0,954},{7,0,954},{5,26,37},{5,26,37},{5,26,37},{5,19,40},{2,23,9},{2,23,9},{8,31,3110},{7,31,1135},{7,27,1287},{7,26,898},{7,31,3652},{6,30,1179},{6,26,45},{5,23,1250},{1,31,3492},{2,24,908},{8,31,1174},
{8,31,110},{8,27,56},{8,26,152},{11,19,3048},{5,31,996},{6,26,36},{2,24,904},{9,23,3048},{2,24,904},{7,31,939},{7,31,939},{7,31,939},{7,26,894},{6,31,659},{6,26,41},{6,26,41},{6,21,59},{1,29,659},{3,22,102},{8,28,4},{8,28,4},{8,28,4},{8,24,8},{12,9,648},{5,28,2},{5,28,2},{5,21,1},{14,13,648},{5,21,1},{14,15,882},{8,31,106},{9,26,13},
{7,26,8},{14,15,882},{12,23,882},{7,26,8},{0,24,900},{12,23,882},{0,24,900},{7,0,890},{7,0,890},{7,0,890},{7,0,890},{6,25,10},{6,25,10},{6,25,10},{6,20,13},{2,24,8},{2,24,8},{8,31,3038},{8,31,1470},{8,28,1391},{7,27,1137},{7,31,4120},{6,31,1146},{6,28,77},{6,24,1159},{3,31,3681},{3,25,894},{9,31,1205},{8,31,245},{9,27,99},{8,27,122},{10,25,3048},
{6,31,1110},{6,28,41},{3,25,890},{12,21,3048},{3,25,890},{8,31,1274},{8,31,1274},{8,31,1274},{7,27,1128},{7,30,750},{6,28,41},{6,28,41},{6,22,49},{1,31,648},{4,23,110},{8,31,49},{8,31,49},{8,31,49},{8,25,53},{15,2,648},{6,28,5},{6,28,5},{6,22,13},{13,16,648},{6,22,13},{14,18,882},{9,31,164},{9,27,18},{7,27,13},{14,18,882},{11,26,882},{7,27,13},
{0,25,890},{11,26,882},{0,25,890},{7,0,1124},{7,0,1124},{7,0,1124},{7,0,1124},{6,28,37},{6,28,37},{6,28,37},{6,21,40},{3,25,4},{3,25,4},{9,31,3454},{8,31,1502},{8,29,1186},{8,28,983},{8,31,4077},{7,31,1230},{7,28,33},{7,25,1214},{4,31,3820},{3,26,908},{10,31,1368},{9,31,261},{9,29,53},{9,28,126},{15,11,3048},{7,31,1226},{7,28,29},{3,26,899},{15,19,3048},
{3,26,899},{8,31,1018},{8,31,1018},{8,31,1018},{8,27,954},{7,31,724},{7,28,29},{7,28,29},{7,23,44},{2,31,665},{4,24,102},{9,30,2},{9,30,2},{9,30,2},{9,26,2},{11,18,648},{6,30,1},{6,30,1},{6,23,4},{10,21,648},{6,23,4},{12,27,882},{10,31,225},{10,28,13},{7,28,20},{12,27,882},{13,25,882},{7,28,20},{0,26,890},{13,25,882},{0,26,890},{8,0,954},
{8,0,954},{8,0,954},{8,0,954},{7,27,4},{7,27,4},{7,27,4},{7,22,5},{3,27,4},{3,27,4},{9,31,3614},{9,31,1886},{8,30,1287},{8,29,898},{8,31,4381},{7,31,1582},{7,30,77},{7,26,1159},{5,31,4036},{4,27,899},{10,31,1560},{10,31,405},{10,29,108},{9,29,117},{14,17,3048},{8,31,1444},{7,30,41},{4,27,890},{13,23,3048},{4,27,890},{8,31,1146},{8,31,1146},{8,31,1146},
{8,29,894},{8,30,1011},{7,30,41},{7,30,41},{7,24,46},{3,31,705},{5,24,98},{9,31,85},{9,31,85},{9,31,85},{9,27,53},{13,14,648},{7,30,5},{7,30,5},{6,24,10},{8,25,648},{6,24,10},{14,23,882},{10,31,305},{10,29,8},{8,29,8},{14,23,882},{11,29,882},{8,29,8},{0,27,890},{11,29,882},{0,27,890},{8,0,890},{8,0,890},{8,0,890},{8,0,890},{7,30,37},
{7,30,37},{7,30,37},{7,23,40},{4,27,9},{4,27,9},{10,31,4072},{9,31,2174},{9,31,1186},{9,30,983},{9,31,4545},{8,31,1725},{8,30,207},{7,27,1250},{6,31,4339},{4,28,908},{11,31,1656},{10,31,645},{10,31,56},{10,30,152},{13,23,3048},{8,31,1604},{7,31,77},{4,28,904},{11,27,3048},{4,28,904},{9,31,1150},{9,31,1150},{9,31,1150},{9,29,954},{8,31,841},{8,29,193},{8,29,193},
{7,25,197},{4,31,747},{5,26,102},{10,31,20},{10,31,20},{10,31,20},{10,28,8},{14,13,648},{7,31,41},{7,31,41},{7,25,1},{11,23,648},{7,25,1},{13,29,882},{11,31,397},{11,30,13},{8,30,5},{13,29,882},{14,27,882},{8,30,5},{0,28,900},{14,27,882},{0,28,900},{9,0,954},{9,0,954},{9,0,954},{9,0,954},{8,27,122},{8,27,122},{8,27,122},{8,23,122},{4,28,8},
{4,28,8},{10,31,4147},{10,31,2404},{9,31,1429},{9,31,901},{10,31,4627},{9,31,1938},{8,31,38},{8,28,1061},{7,31,4330},{5,29,789},{12,31,1701},{11,31,715},{11,31,90},{10,31,113},{15,19,2814},{10,31,1554},{8,31,34},{5,29,785},{13,26,2814},{5,29,785},{9,31,1429},{9,31,1429},{9,31,1429},{9,31,901},{9,31,1022},{8,31,38},{8,31,38},{8,26,44},{5,31,840},{6,27,110},{11,31,90},
{11,31,90},{11,31,90},{10,29,53},{14,16,648},{8,31,34},{8,31,34},{7,26,20},{15,20,648},{7,26,20},{15,25,761},{12,31,425},{11,31,9},{9,31,1},{15,25,761},{12,31,761},{9,31,1},{0,29,785},{12,31,761},{0,29,785},{9,0,900},{9,0,900},{9,0,900},{9,0,900},{8,30,4},{8,30,4},{8,30,4},{8,25,5},{5,29,4},{5,29,4},{11,31,3735},{10,31,2356},{10,31,1395},
{10,31,954},{10,31,4099},{9,31,1618},{9,31,174},{8,29,686},{7,31,3930},{6,29,510},{12,31,1285},{12,31,685},{11,31,122},{11,31,37},{13,27,2249},{10,31,1186},{9,31,74},{6,29,485},{13,27,2249},{6,29,485},{10,31,1395},{10,31,1395},{10,31,1395},{10,31,954},{9,31,1086},{9,31,174},{9,31,174},{8,27,49},{6,31,969},{6,28,102},{11,31,122},{11,31,122},{11,31,122},{11,30,2},{13,22,648},
{9,31,74},{9,31,74},{8,27,13},{12,25,648},{8,27,13},{15,26,481},{13,31,269},{12,31,0},{10,31,0},{15,26,481},{15,28,481},{10,31,0},{0,29,481},{15,28,481},{0,29,481},{10,0,954},{10,0,954},{10,0,954},{10,0,954},{8,31,61},{8,31,61},{8,31,61},{8,26,40},{5,31,4},{5,31,4},{11,31,3399},{11,31,2260},{11,31,1635},{10,31,954},{11,31,3639},{10,31,1435},{9,31,238},
{9,29,430},{8,31,3443},{6,30,314},{13,31,1121},{12,31,525},{12,31,164},{11,31,53},{13,29,1769},{11,31,918},{10,31,113},{7,30,290},{14,27,1769},{7,30,290},{11,31,1635},{11,31,1635},{11,31,1635},{10,31,954},{10,31,1251},{9,31,238},{9,31,238},{9,28,41},{7,31,1105},{7,28,98},{12,31,164},{12,31,164},{12,31,164},{11,31,53},{15,18,648},{10,31,113},{10,31,113},{8,28,1},{10,29,648},
{8,28,1},{15,27,269},{13,31,173},{13,31,4},{11,31,4},{15,27,269},{14,30,265},{11,31,4},{0,30,289},{14,30,265},{0,30,289},{10,0,890},{10,0,890},{10,0,890},{10,0,890},{9,31,13},{9,31,13},{9,31,13},{9,27,5},{6,31,9},{6,31,9},{12,31,3157},{11,31,2308},{11,31,1683},{11,31,1054},{11,31,3303},{10,31,1339},{10,31,378},{9,30,213},{9,31,3103},{7,30,166},{13,31,801},
{13,31,529},{12,31,260},{12,31,20},{15,24,1374},{12,31,777},{11,31,181},{8,30,117},{15,27,1377},{8,30,117},{11,31,1683},{11,31,1683},{11,31,1683},{11,31,1054},{10,31,1491},{10,31,378},{10,31,378},{9,29,46},{8,31,1331},{7,30,102},{12,31,260},{12,31,260},{12,31,260},{12,31,20},{13,27,648},{11,31,181},{11,31,181},{8,29,10},{13,27,648},{8,29,10},{15,28,117},{14,31,61},{14,31,25},
{13,31,4},{15,28,117},{14,31,117},{13,31,4},{0,30,113},{14,31,117},{0,30,113},{11,0,954},{11,0,954},{11,0,954},{11,0,954},{10,31,122},{10,31,122},{10,31,122},{9,28,40},{7,31,29},{7,31,29},{12,31,2860},{12,31,2260},{12,31,1899},{11,31,1261},{12,31,2932},{11,31,1310},{11,31,685},{10,30,108},{10,31,2731},{7,31,173},{13,31,747},{13,31,475},{13,31,306},{13,31,130},{15,26,1032},
{12,31,651},{12,31,290},{8,31,40},{14,29,1032},{8,31,40},{12,31,1899},{12,31,1899},{12,31,1899},{11,31,1261},{11,31,1620},{11,31,685},{11,31,685},{10,30,44},{9,31,1524},{8,30,134},{13,31,306},{13,31,306},{13,31,306},{13,31,130},{13,30,648},{12,31,290},{12,31,290},{9,30,5},{12,30,648},{9,30,5},{15,30,18},{15,30,34},{14,31,16},{14,31,0},{15,30,18},{15,30,26},{14,31,0},
{0,31,36},{15,30,26},{0,31,36},{11,0,900},{11,0,900},{11,0,900},{11,0,900},{10,31,104},{10,31,104},{10,31,104},{10,29,5},{8,30,130},{8,30,130},{13,31,2732},{12,31,2276},{12,31,1915},{12,31,1315},{12,31,2660},{11,31,1414},{11,31,789},{10,31,45},{11,31,2487},{8,31,116},{14,31,524},{14,31,460},{14,31,424},{13,31,170},{14,31,776},{13,31,507},{13,31,338},{10,31,9},{14,30,771},
{10,31,9},{12,31,1915},{12,31,1915},{12,31,1915},{12,31,1315},{12,31,1699},{11,31,789},{11,31,789},{10,31,45},{10,31,1546},{8,31,116},{14,31,424},{14,31,424},{14,31,424},{13,31,170},{15,26,580},{13,31,338},{13,31,338},{10,31,9},{14,29,580},{10,31,9},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{12,0,954},
{12,0,954},{12,0,954},{12,0,954},{11,31,164},{11,31,164},{11,31,164},{10,30,40},{8,31,116},{8,31,116},{13,31,2156},{13,31,1884},{13,31,1715},{12,31,1251},{13,31,2132},{12,31,1108},{12,31,747},{11,31,5},{11,31,1927},{9,31,180},{14,31,300},{14,31,236},{14,31,200},{14,31,136},{15,28,451},{14,31,328},{13,31,194},{11,31,1},{15,29,456},{11,31,1},{13,31,1715},{13,31,1715},{13,31,1715},
{12,31,1251},{12,31,1347},{12,31,747},{12,31,747},{11,31,5},{10,31,1242},{9,31,180},{14,31,200},{14,31,200},{14,31,200},{14,31,136},{15,27,338},{13,31,194},{13,31,194},{11,31,1},{13,31,338},{11,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{12,0,890},{12,0,890},{12,0,890},{12,0,890},{11,31,260},
{11,31,260},{11,31,260},{11,31,5},{9,31,180},{9,31,180},{13,31,1836},{13,31,1564},{13,31,1395},{13,31,1123},{13,31,1620},{12,31,1012},{12,31,651},{11,31,85},{12,31,1564},{10,31,233},{14,31,204},{14,31,140},{14,31,104},{14,31,40},{15,29,216},{14,31,136},{14,31,100},{12,31,1},{14,31,216},{12,31,1},{13,31,1395},{13,31,1395},{13,31,1395},{13,31,1123},{13,31,1179},{12,31,651},{12,31,651},
{11,31,85},{11,31,998},{10,31,233},{14,31,104},{14,31,104},{14,31,104},{14,31,40},{15,28,162},{14,31,100},{14,31,100},{12,31,1},{15,29,164},{12,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{13,0,954},{13,0,954},{13,0,954},{13,0,954},{12,31,290},{12,31,290},{12,31,290},{11,31,85},{10,31,233},
{10,31,233},{0,17,1568},{0,14,442},{0,10,40},{0,8,485},{0,11,3379},{0,9,2369},{0,8,1061},{0,5,2435},{0,6,3760},{0,5,2660},{0,17,1568},{0,14,442},{0,10,40},{0,8,485},{1,8,3372},{0,9,2369},{0,8,1061},{0,5,2435},{5,1,3371},{0,5,2435},{0,8,0},{0,8,0},{0,8,0},{0,5,1},{0,4,288},{0,4,160},{0,4,160},{0,2,164},{0,2,332},{0,2,200},{0,8,0},
{0,8,0},{0,8,0},{0,5,1},{0,4,288},{0,4,160},{0,4,160},{0,2,164},{2,0,288},{0,2,164},{3,7,1568},{0,14,442},{0,10,40},{0,8,485},{3,7,1568},{8,0,1568},{0,8,485},{0,6,1586},{8,0,1568},{0,6,1586},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,20,1570},{0,16,325},{0,11,5},
{0,9,392},{0,13,3968},{0,10,2630},{0,9,1121},{0,6,2710},{0,7,4484},{0,6,3034},{0,20,1570},{0,16,325},{0,11,5},{0,9,392},{1,10,3968},{0,10,2630},{0,9,1121},{0,6,2710},{5,2,3968},{0,6,2710},{0,11,1},{0,11,1},{0,11,1},{0,6,4},{0,5,514},{0,5,274},{0,5,274},{0,3,289},{0,3,595},{0,3,370},{0,11,1},{0,11,1},{0,11,1},{0,6,4},{1,2,512},
{0,5,274},{0,5,274},{0,3,289},{1,2,512},{0,3,289},{5,3,1568},{0,16,325},{0,11,5},{0,9,392},{5,3,1568},{4,7,1568},{0,9,392},{0,7,1586},{4,7,1568},{0,7,1586},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,22,1570},{0,17,225},{0,12,18},{0,11,292},{0,15,4652},{0,11,2945},{0,10,1217},
{0,7,3035},{0,8,5283},{0,7,3476},{0,22,1570},{0,17,225},{0,12,18},{0,11,292},{2,8,4651},{0,11,2945},{0,10,1217},{0,7,3035},{5,3,4651},{0,7,3035},{0,13,0},{0,13,0},{0,13,0},{0,8,1},{0,7,802},{0,6,424},{0,6,424},{0,4,449},{0,3,931},{0,3,562},{0,13,0},{0,13,0},{0,13,0},{0,8,1},{2,0,800},{0,6,424},{0,6,424},{0,4,449},{0,4,800},
{0,4,449},{1,19,1568},{0,17,225},{0,12,18},{0,11,292},{1,19,1568},{9,2,1568},{0,11,292},{0,8,1576},{9,2,1568},{0,8,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,25,1570},{0,19,149},{0,13,73},{0,12,194},{0,17,5424},{0,13,3368},{0,11,1349},{0,8,3449},{0,9,6213},{0,7,3956},{0,25,1570},
{0,19,149},{0,13,73},{0,12,194},{5,0,5419},{0,13,3368},{0,11,1349},{0,8,3449},{5,4,5419},{0,8,3449},{0,16,1},{0,16,1},{0,16,1},{0,9,4},{0,8,1152},{0,7,610},{0,7,610},{0,4,625},{0,4,1328},{0,4,769},{0,16,1},{0,16,1},{0,16,1},{0,9,4},{0,8,1152},{0,7,610},{0,7,610},{0,4,625},{4,0,1152},{0,4,625},{5,8,1568},{0,19,149},{1,13,13},
{0,12,194},{5,8,1568},{4,10,1568},{0,12,194},{0,9,1576},{4,10,1568},{0,9,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,28,1651},{0,21,155},{0,14,281},{0,13,198},{0,20,5424},{0,15,3099},{0,12,996},{0,9,3179},{0,10,6544},{0,8,3890},{1,24,1619},{0,21,155},{1,14,69},{0,13,198},{5,3,5419},
{0,15,3099},{0,12,996},{0,9,3179},{4,7,5419},{0,9,3179},{0,19,82},{0,19,82},{0,19,82},{0,11,82},{0,11,1152},{0,9,445},{0,9,445},{0,6,505},{0,6,1494},{0,5,737},{1,15,50},{1,15,50},{1,15,50},{1,10,49},{3,1,1152},{0,9,445},{0,9,445},{0,6,505},{3,3,1152},{0,6,505},{5,11,1568},{0,21,74},{1,14,20},{0,13,117},{5,11,1568},{11,3,1568},{0,13,117},
{0,10,1586},{11,3,1568},{0,10,1586},{0,0,81},{0,0,81},{0,0,81},{0,0,81},{0,3,0},{0,3,0},{0,3,0},{0,2,1},{0,1,25},{0,1,25},{1,27,1825},{0,23,323},{1,15,342},{0,14,361},{0,22,5420},{0,16,2834},{0,13,726},{0,10,2966},{0,11,6916},{0,9,3860},{1,27,1569},{1,21,131},{1,15,86},{1,14,181},{1,19,5419},{0,16,2834},{0,13,726},{0,10,2966},{9,2,5419},
{0,10,2966},{1,18,257},{1,18,257},{1,18,257},{1,12,261},{0,13,1154},{0,11,337},{0,11,337},{0,7,388},{0,7,1665},{0,6,749},{1,18,1},{1,18,1},{1,18,1},{1,12,5},{4,0,1152},{0,11,337},{0,11,337},{0,7,388},{1,7,1152},{0,7,388},{8,2,1568},{0,23,34},{2,15,5},{0,14,72},{8,2,1568},{13,2,1568},{0,14,72},{0,11,1586},{13,2,1568},{0,11,1586},{1,0,257},
{1,0,257},{1,0,257},{1,0,257},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,2,85},{0,2,85},{1,30,1907},{1,23,411},{1,16,542},{1,15,454},{0,25,5424},{0,18,2630},{0,15,486},{0,11,2771},{0,13,7299},{0,11,3860},{2,26,1634},{1,23,155},{2,16,82},{1,15,198},{5,8,5419},{0,18,2630},{0,15,486},{0,11,2771},{4,10,5419},{0,11,2771},{1,21,338},{1,21,338},{1,21,338},
{1,13,338},{0,16,1152},{0,13,274},{0,13,274},{0,8,305},{0,8,1856},{0,7,797},{2,17,64},{2,17,64},{2,17,64},{2,12,65},{3,6,1152},{0,13,274},{0,13,274},{0,8,305},{3,6,1152},{0,8,305},{3,23,1568},{0,25,17},{2,16,18},{0,15,45},{3,23,1568},{11,6,1568},{0,15,45},{0,12,1576},{11,6,1568},{0,12,1576},{1,0,337},{1,0,337},{1,0,337},{1,0,337},{0,8,1},
{0,8,1},{0,8,1},{0,5,0},{0,4,169},{0,4,169},{1,31,2145},{1,25,590},{1,17,915},{1,16,619},{0,27,5420},{0,20,2424},{0,16,282},{0,12,2552},{0,15,7711},{0,11,3908},{2,29,1570},{2,23,149},{2,17,73},{2,16,194},{7,4,5419},{0,20,2424},{0,16,282},{0,12,2552},{9,5,5419},{0,12,2552},{1,23,546},{1,23,546},{1,23,546},{1,15,546},{0,19,1154},{0,15,194},{0,15,194},
{0,9,218},{0,9,2123},{0,8,865},{2,20,1},{2,20,1},{2,20,1},{2,13,4},{5,2,1152},{0,15,194},{0,15,194},{0,9,218},{8,1,1152},{0,9,218},{9,4,1568},{0,27,5},{3,17,13},{0,16,26},{9,4,1568},{9,10,1568},{0,16,26},{0,13,1576},{9,10,1568},{0,13,1576},{1,0,545},{1,0,545},{1,0,545},{1,0,545},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,289},
{0,5,289},{2,31,2746},{1,27,945},{2,18,1370},{1,17,977},{0,30,5420},{0,22,2243},{0,17,145},{0,13,2386},{0,16,8161},{0,13,3986},{3,28,1619},{2,25,155},{3,18,69},{2,17,198},{8,2,5419},{0,22,2243},{0,17,145},{0,13,2386},{13,2,5419},{0,13,2386},{1,26,932},{1,26,932},{1,26,932},{1,16,936},{0,22,1154},{0,17,109},{0,17,109},{0,10,145},{0,11,2441},{0,9,1001},{3,19,50},
{3,19,50},{3,19,50},{3,14,49},{5,5,1152},{0,17,109},{0,17,109},{0,10,145},{5,7,1152},{0,10,145},{11,0,1568},{0,29,10},{3,18,20},{0,18,8},{11,0,1568},{13,7,1568},{0,18,8},{0,14,1586},{13,7,1568},{0,14,1586},{1,0,932},{1,0,932},{1,0,932},{1,0,932},{0,14,1},{0,14,1},{0,14,1},{0,8,1},{0,6,468},{0,6,468},{2,31,3146},{2,27,1412},{2,19,1743},
{1,19,1441},{0,31,5515},{0,23,2096},{0,19,69},{0,14,2251},{0,18,8669},{0,14,4100},{3,31,1569},{3,25,131},{3,19,86},{3,18,181},{3,23,5419},{0,23,2096},{0,19,69},{0,14,2251},{11,6,5419},{0,14,2251},{2,25,1379},{2,25,1379},{2,25,1379},{2,17,1379},{0,24,1152},{0,18,61},{0,18,61},{0,11,100},{0,12,2859},{0,10,1157},{3,22,1},{3,22,1},{3,22,1},{3,16,5},{7,1,1152},
{0,18,61},{0,18,61},{0,11,100},{10,2,1152},{0,11,100},{10,6,1568},{1,29,2},{4,19,5},{0,19,5},{10,6,1568},{15,6,1568},{0,19,5},{0,15,1586},{15,6,1568},{0,15,1586},{2,0,1378},{2,0,1378},{2,0,1378},{2,0,1378},{0,16,1},{0,16,1},{0,16,1},{0,10,1},{0,8,657},{0,8,657},{2,31,3802},{2,29,1603},{2,21,2148},{2,19,1631},{1,31,5655},{0,25,2005},{0,20,31},
{0,15,2138},{0,19,8963},{0,15,4070},{4,30,1634},{3,27,155},{4,20,82},{3,19,198},{9,4,5419},{0,25,2001},{0,20,27},{0,15,2134},{9,10,5419},{0,15,2134},{2,28,1587},{2,28,1587},{2,28,1587},{2,18,1590},{0,27,1158},{0,20,22},{0,20,22},{0,12,62},{0,14,3075},{0,11,1221},{4,21,64},{4,21,64},{4,21,64},{4,16,65},{5,10,1152},{0,20,18},{0,20,18},{0,12,58},{12,1,1152},
{0,12,58},{12,2,1568},{1,31,10},{4,20,18},{0,20,18},{12,2,1568},{13,10,1568},{0,20,18},{0,16,1576},{13,10,1568},{0,16,1576},{2,0,1586},{2,0,1586},{2,0,1586},{2,0,1586},{0,19,4},{0,19,4},{0,19,4},{0,11,8},{0,9,769},{0,9,769},{3,31,3890},{2,31,1623},{3,21,2180},{2,20,1644},{1,31,5863},{0,27,1989},{1,21,109},{0,17,2117},{0,21,8560},{0,16,3545},{4,31,1640},
{4,27,149},{4,21,73},{4,20,194},{10,3,5419},{0,27,1889},{0,21,49},{0,17,2017},{11,9,5419},{0,17,2017},{2,30,1619},{2,30,1619},{2,30,1619},{2,20,1619},{1,26,1188},{1,20,86},{1,20,86},{1,13,121},{0,16,2801},{0,13,949},{4,24,1},{4,24,1},{4,24,1},{4,17,4},{8,1,1152},{0,22,2},{0,22,2},{0,14,26},{10,5,1152},{0,14,26},{11,8,1568},{2,31,5},{5,21,13},
{1,21,9},{11,8,1568},{11,14,1568},{1,21,9},{0,17,1576},{11,14,1568},{0,17,1576},{2,0,1618},{2,0,1618},{2,0,1618},{2,0,1618},{1,18,37},{1,18,37},{1,18,37},{1,12,37},{0,10,625},{0,10,625},{4,31,4308},{3,31,1589},{3,23,2160},{3,21,1621},{2,31,5895},{1,27,1999},{1,22,33},{1,18,2124},{0,23,8196},{0,17,3043},{5,31,1667},{4,29,155},{5,22,69},{4,21,198},{10,6,5419},
{0,29,1772},{1,22,24},{0,18,1875},{15,6,5419},{0,18,1875},{3,30,1576},{3,30,1576},{3,30,1576},{3,20,1580},{1,29,1161},{1,22,29},{1,22,29},{1,15,58},{0,17,2529},{0,14,656},{5,23,50},{5,23,50},{5,23,50},{5,18,49},{8,4,1152},{0,24,1},{0,24,1},{0,15,1},{14,2,1152},{0,15,1},{13,4,1568},{3,31,13},{5,22,20},{2,22,8},{13,4,1568},{15,11,1568},{2,22,8},
{0,18,1586},{15,11,1568},{0,18,1586},{3,0,1576},{3,0,1576},{3,0,1576},{3,0,1576},{1,21,10},{1,21,10},{1,21,10},{1,14,13},{0,12,520},{0,12,520},{4,31,4436},{3,31,1765},{4,23,2175},{3,23,1669},{3,31,6079},{1,29,1977},{2,23,105},{1,19,2107},{0,24,7969},{0,18,2675},{6,31,1832},{5,29,131},{5,23,86},{5,22,181},{12,2,5419},{0,30,1699},{1,23,62},{0,19,1782},{13,10,5419},
{0,19,1782},{3,31,1665},{3,31,1665},{3,31,1665},{3,22,1640},{2,28,1188},{2,22,97},{2,22,97},{2,15,136},{0,19,2313},{0,15,474},{5,26,1},{5,26,1},{5,26,1},{5,20,5},{3,25,1152},{1,24,5},{1,24,5},{0,16,2},{12,6,1152},{0,16,2},{15,0,1568},{4,31,34},{6,23,5},{2,23,5},{15,0,1568},{12,16,1568},{2,23,5},{0,19,1586},{12,16,1568},{0,19,1586},{3,0,1640},
{3,0,1640},{3,0,1640},{3,0,1640},{2,20,37},{2,20,37},{2,20,37},{2,14,37},{0,14,400},{0,14,400},{5,31,4740},{4,31,1716},{4,25,2148},{4,23,1631},{3,31,6351},{2,29,2005},{2,24,31},{2,19,2138},{0,26,7669},{0,19,2375},{6,31,1832},{5,31,155},{6,24,82},{5,23,198},{11,8,5419},{0,31,1712},{2,24,27},{0,20,1720},{11,14,5419},{0,20,1720},{4,31,1595},{4,31,1595},{4,31,1595},
{4,22,1590},{2,31,1158},{2,24,22},{2,24,22},{2,16,62},{0,21,2091},{0,17,306},{6,25,64},{6,25,64},{6,25,64},{6,20,65},{9,6,1152},{1,26,1},{1,26,1},{1,17,5},{14,5,1152},{1,17,5},{14,6,1568},{5,31,74},{6,24,18},{2,24,18},{14,6,1568},{15,14,1568},{2,24,18},{0,20,1576},{15,14,1568},{0,20,1576},{4,0,1586},{4,0,1586},{4,0,1586},{4,0,1586},{2,23,4},
{2,23,4},{2,23,4},{2,15,8},{0,16,277},{0,16,277},{5,31,5060},{5,31,1980},{5,25,2180},{4,24,1644},{4,31,6508},{2,31,1989},{3,25,109},{2,21,2117},{0,28,7364},{0,21,2098},{7,31,1952},{6,31,149},{6,25,73},{6,24,194},{12,7,5419},{1,31,1804},{2,25,49},{0,21,1657},{13,13,5419},{0,21,1657},{4,31,1739},{4,31,1739},{4,31,1739},{4,24,1619},{3,30,1188},{3,24,86},{3,24,86},
{3,17,121},{0,22,1928},{0,18,194},{6,28,1},{6,28,1},{6,28,1},{6,21,4},{10,5,1152},{2,26,2},{2,26,2},{1,18,2},{12,9,1152},{1,18,2},{13,12,1568},{6,31,149},{7,25,13},{3,25,9},{13,12,1568},{13,18,1568},{3,25,9},{0,21,1576},{13,18,1568},{0,21,1576},{4,0,1618},{4,0,1618},{4,0,1618},{4,0,1618},{3,22,37},{3,22,37},{3,22,37},{3,16,37},{0,18,193},
{0,18,193},{6,31,5316},{5,31,2160},{5,27,2160},{5,25,1621},{5,31,6800},{3,31,1999},{3,26,33},{3,22,2124},{0,29,7068},{0,22,1836},{7,31,2195},{7,31,270},{7,26,69},{6,25,198},{15,0,5419},{2,31,1970},{3,26,24},{0,22,1611},{12,16,5419},{0,22,1611},{5,31,1676},{5,31,1676},{5,31,1676},{5,24,1580},{3,31,1233},{3,26,29},{3,26,29},{3,19,58},{0,24,1798},{0,19,157},{7,27,50},
{7,27,50},{7,27,50},{7,22,49},{10,8,1152},{2,28,1},{2,28,1},{2,19,1},{11,12,1152},{2,19,1},{15,8,1568},{7,31,221},{7,26,20},{4,26,8},{15,8,1568},{11,22,1568},{4,26,8},{0,22,1586},{11,22,1568},{0,22,1586},{5,0,1576},{5,0,1576},{5,0,1576},{5,0,1576},{3,25,10},{3,25,10},{3,25,10},{3,18,13},{0,20,106},{0,20,106},{6,31,5828},{6,31,2435},{6,27,2175},
{5,27,1669},{5,31,7184},{4,31,2132},{4,27,105},{3,23,2107},{0,31,6820},{0,23,1690},{8,31,2306},{7,31,334},{7,27,86},{7,26,181},{14,6,5419},{4,31,2096},{3,27,62},{0,23,1590},{15,14,5419},{0,23,1590},{6,31,1859},{6,31,1859},{6,31,1859},{5,26,1640},{4,31,1220},{4,26,97},{4,26,97},{4,19,136},{0,26,1650},{0,21,161},{7,30,1},{7,30,1},{7,30,1},{7,24,5},{9,14,1152},
{3,28,5},{3,28,5},{2,20,2},{14,10,1152},{2,20,2},{14,14,1568},{7,31,333},{8,27,40},{4,27,5},{14,14,1568},{14,20,1568},{4,27,5},{0,23,1586},{14,20,1568},{0,23,1586},{5,0,1640},{5,0,1640},{5,0,1640},{5,0,1640},{4,24,37},{4,24,37},{4,24,37},{4,18,37},{0,22,58},{0,22,58},{7,31,6036},{6,31,2835},{6,29,2148},{6,27,1631},{6,31,7316},{4,31,2228},{4,28,31},
{4,23,2138},{0,31,6884},{0,24,1613},{8,31,2402},{8,31,666},{8,28,269},{7,27,198},{13,12,5419},{4,31,2224},{4,28,27},{0,24,1577},{13,18,5419},{0,24,1577},{6,31,1811},{6,31,1811},{6,31,1811},{6,26,1590},{5,31,1356},{4,28,22},{4,28,22},{4,20,62},{0,28,1508},{1,21,137},{7,31,106},{7,31,106},{7,31,106},{7,25,82},{11,10,1152},{3,30,1},{3,30,1},{3,21,5},{5,23,1152},
{3,21,5},{13,20,1568},{8,31,410},{8,28,13},{4,28,18},{13,20,1568},{13,23,1570},{4,28,18},{0,24,1576},{13,23,1570},{0,24,1576},{6,0,1586},{6,0,1586},{6,0,1586},{6,0,1586},{4,27,4},{4,27,4},{4,27,4},{4,19,8},{0,24,37},{0,24,37},{7,31,6740},{7,31,3135},{7,29,2180},{6,28,1644},{7,31,7676},{5,31,2448},{5,29,109},{4,25,2117},{1,31,7196},{0,25,1593},{9,31,2594},
{8,31,698},{8,29,82},{8,28,345},{14,11,5419},{5,31,2412},{4,29,49},{1,25,1580},{15,17,5419},{1,25,1580},{7,31,1979},{7,31,1979},{7,31,1979},{6,28,1619},{5,31,1388},{5,28,86},{5,28,86},{5,21,121},{0,30,1416},{1,23,161},{8,30,64},{8,30,64},{8,30,64},{8,25,65},{12,9,1152},{4,30,2},{4,30,2},{3,22,2},{14,13,1152},{3,22,2},{15,16,1568},{9,31,530},{8,29,18},
{5,29,9},{15,16,1568},{15,22,1568},{5,29,9},{0,25,1576},{15,22,1568},{0,25,1576},{6,0,1618},{6,0,1618},{6,0,1618},{6,0,1618},{5,26,37},{5,26,37},{5,26,37},{5,20,37},{0,25,17},{0,25,17},{8,31,6906},{7,31,3909},{7,31,2160},{7,29,1621},{7,31,8144},{6,31,2902},{5,30,33},{5,26,2124},{2,31,7661},{1,26,1615},{9,31,2945},{9,31,1025},{8,30,86},{8,29,181},{14,14,5419},
{7,31,2694},{5,30,24},{1,26,1590},{14,20,5419},{1,26,1590},{7,31,2060},{7,31,2060},{7,31,2060},{7,28,1580},{6,31,1476},{5,30,29},{5,30,29},{5,23,58},{0,31,1324},{2,23,157},{8,31,37},{8,31,37},{8,31,37},{8,27,5},{15,2,1152},{5,30,20},{5,30,20},{4,23,1},{13,16,1152},{4,23,1},{15,19,1568},{10,31,637},{9,30,5},{6,30,8},{15,19,1568},{13,26,1568},{6,30,8},
{0,26,1586},{13,26,1568},{0,26,1586},{7,0,1576},{7,0,1576},{7,0,1576},{7,0,1576},{5,29,10},{5,29,10},{5,29,10},{5,22,13},{0,28,10},{0,28,10},{8,31,7386},{8,31,4250},{8,31,2490},{7,31,1669},{8,31,8461},{6,31,3350},{6,31,105},{5,27,2107},{4,31,8004},{1,27,1611},{10,31,3112},{9,31,1361},{9,31,69},{8,30,198},{13,20,5419},{7,31,2950},{5,31,62},{2,27,1590},{11,25,5420},
{2,27,1590},{8,31,2486},{8,31,2486},{8,31,2486},{7,30,1640},{6,31,1700},{6,30,97},{6,30,97},{6,23,136},{1,31,1424},{2,25,161},{9,31,65},{9,31,65},{9,31,65},{9,27,49},{11,18,1152},{5,31,58},{5,31,58},{4,24,2},{10,21,1152},{4,24,2},{13,28,1568},{11,31,785},{9,31,20},{6,31,5},{13,28,1568},{11,30,1568},{6,31,5},{0,27,1586},{11,30,1568},{0,27,1586},{7,0,1640},
{7,0,1640},{7,0,1640},{7,0,1640},{6,28,37},{6,28,37},{6,28,37},{6,22,37},{1,28,10},{1,28,10},{9,31,7014},{8,31,4230},{8,31,2294},{8,31,1846},{8,31,7865},{7,31,3114},{6,31,85},{6,27,1706},{4,31,7436},{2,28,1289},{11,31,2852},{10,31,1221},{9,31,145},{9,30,114},{13,22,4803},{8,31,2648},{6,31,81},{2,28,1253},{12,25,4803},{2,28,1253},{8,31,2294},{8,31,2294},{8,31,2294},
{8,30,1811},{7,31,1740},{6,31,85},{6,31,85},{6,24,62},{2,31,1577},{3,25,137},{9,31,145},{9,31,145},{9,31,145},{9,29,5},{13,14,1152},{6,31,81},{6,31,81},{5,25,5},{8,25,1152},{5,25,5},{15,23,1250},{11,31,689},{10,31,4},{7,31,9},{15,23,1250},{11,31,1250},{7,31,9},{0,28,1252},{11,31,1250},{0,28,1252},{8,0,1810},{8,0,1810},{8,0,1810},{8,0,1810},{6,31,4},
{6,31,4},{6,31,4},{6,23,8},{1,29,8},{1,29,8},{9,31,6534},{9,31,4134},{8,31,2486},{8,31,1590},{9,31,7237},{7,31,2970},{7,31,161},{6,28,1256},{5,31,6748},{2,29,949},{11,31,2340},{10,31,1125},{10,31,164},{9,31,97},{15,17,4056},{9,31,2244},{7,31,125},{3,28,909},{12,26,4056},{3,28,909},{8,31,2486},{8,31,2486},{8,31,2486},{8,31,1590},{7,31,2156},{7,31,161},{7,31,161},
{7,25,121},{3,31,1729},{3,27,161},{10,31,164},{10,31,164},{10,31,164},{10,29,65},{14,13,1152},{7,31,125},{7,31,125},{5,26,2},{11,23,1152},{5,26,2},{13,31,882},{12,31,482},{11,31,0},{8,31,4},{13,31,882},{15,27,882},{8,31,4},{0,28,900},{15,27,882},{0,28,900},{8,0,1586},{8,0,1586},{8,0,1586},{8,0,1586},{7,30,37},{7,30,37},{7,30,37},{7,24,37},{1,31,16},
{1,31,16},{10,31,6091},{9,31,4053},{9,31,2609},{8,31,1761},{9,31,6490},{8,31,2622},{7,31,458},{7,28,835},{6,31,6162},{3,29,598},{12,31,1989},{11,31,931},{11,31,306},{10,31,5},{15,19,3318},{10,31,1806},{8,31,202},{4,29,545},{13,26,3318},{4,29,545},{9,31,2609},{9,31,2609},{9,31,2609},{8,31,1761},{8,31,2086},{7,31,458},{7,31,458},{7,27,58},{4,31,1868},{4,27,157},{11,31,306},
{11,31,306},{11,31,306},{10,31,5},{14,16,1152},{8,31,202},{8,31,202},{6,27,1},{15,20,1152},{6,27,1},{15,26,545},{13,31,313},{12,31,4},{10,31,4},{15,26,545},{14,29,545},{10,31,4},{0,29,545},{14,29,545},{0,29,545},{8,0,1640},{8,0,1640},{8,0,1640},{8,0,1640},{7,31,58},{7,31,58},{7,31,58},{7,26,13},{2,31,13},{2,31,13},{10,31,5723},{10,31,3980},{9,31,2945},
{9,31,1745},{10,31,6083},{8,31,2494},{8,31,558},{7,29,558},{7,31,5674},{4,30,411},{12,31,1573},{11,31,963},{11,31,338},{11,31,49},{13,27,2753},{10,31,1438},{9,31,290},{5,29,341},{13,27,2753},{5,29,341},{9,31,2945},{9,31,2945},{9,31,2945},{9,31,1745},{9,31,2390},{8,31,558},{8,31,558},{7,28,147},{5,31,2064},{4,29,161},{11,31,338},{11,31,338},{11,31,338},{11,31,49},{13,22,1152},
{9,31,290},{9,31,290},{6,28,2},{12,25,1152},{6,28,2},{15,27,313},{13,31,185},{13,31,16},{11,31,0},{15,27,313},{13,31,313},{11,31,0},{0,29,337},{13,31,313},{0,29,337},{9,0,1576},{9,0,1576},{9,0,1576},{9,0,1576},{8,31,197},{8,31,197},{8,31,197},{7,27,122},{3,31,25},{3,31,25},{11,31,5415},{10,31,3996},{10,31,3035},{10,31,2006},{10,31,5619},{9,31,2378},{8,31,814},
{8,29,414},{7,31,5338},{5,30,251},{12,31,1413},{12,31,813},{12,31,452},{11,31,65},{13,29,2273},{11,31,1218},{10,31,365},{6,30,146},{14,27,2273},{6,30,146},{10,31,3035},{10,31,3035},{10,31,3035},{10,31,2006},{9,31,2518},{8,31,814},{8,31,814},{8,28,121},{6,31,2329},{5,29,137},{12,31,452},{12,31,452},{12,31,452},{11,31,65},{15,18,1152},{10,31,365},{10,31,365},{7,29,5},{10,29,1152},
{7,29,5},{15,28,145},{14,31,85},{13,31,16},{12,31,4},{15,28,145},{15,29,149},{12,31,4},{0,30,145},{15,29,149},{0,30,145},{9,0,1640},{9,0,1640},{9,0,1640},{9,0,1640},{8,31,85},{8,31,85},{8,31,85},{8,27,37},{4,31,40},{4,31,40},{11,31,5143},{11,31,4004},{11,31,3379},{10,31,2070},{11,31,5287},{10,31,2431},{9,31,1062},{8,30,133},{8,31,5011},{5,31,161},{13,31,1161},
{13,31,889},{12,31,548},{12,31,164},{15,24,1878},{11,31,1106},{11,31,481},{7,30,66},{15,27,1881},{7,30,66},{11,31,3379},{11,31,3379},{11,31,3379},{10,31,2070},{10,31,2835},{9,31,1062},{9,31,1062},{8,29,62},{7,31,2577},{5,31,161},{12,31,548},{12,31,548},{12,31,548},{12,31,164},{13,27,1152},{11,31,481},{11,31,481},{7,30,2},{13,27,1152},{7,30,2},{15,29,45},{14,31,37},{14,31,1},
{14,31,9},{15,29,45},{15,30,41},{14,31,9},{0,30,65},{15,30,41},{0,30,65},{10,0,1586},{10,0,1586},{10,0,1586},{10,0,1586},{9,31,221},{9,31,221},{9,31,221},{8,28,8},{5,31,80},{5,31,80},{12,31,4948},{11,31,4157},{11,31,3532},{11,31,2393},{11,31,5008},{10,31,2422},{10,31,1461},{9,31,125},{9,31,4752},{6,31,157},{13,31,1107},{13,31,835},{13,31,666},{12,31,362},{15,26,1536},
{12,31,1011},{12,31,650},{8,31,16},{14,29,1536},{8,31,16},{11,31,3532},{11,31,3532},{11,31,3532},{11,31,2393},{10,31,3204},{10,31,1461},{10,31,1461},{9,30,114},{8,31,2976},{6,31,157},{13,31,666},{13,31,666},{13,31,666},{12,31,362},{13,30,1152},{12,31,650},{12,31,650},{8,31,16},{12,30,1152},{8,31,16},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},
{0,31,0},{15,31,0},{0,31,0},{10,0,1640},{10,0,1640},{10,0,1640},{10,0,1640},{9,31,221},{9,31,221},{9,31,221},{9,29,25},{6,31,157},{6,31,157},{12,31,4212},{12,31,3612},{12,31,3251},{11,31,2201},{12,31,4212},{11,31,2154},{10,31,1301},{9,31,13},{10,31,3939},{7,31,233},{14,31,776},{13,31,659},{13,31,490},{13,31,218},{15,27,1067},{13,31,699},{12,31,442},{9,31,4},{13,31,1067},
{9,31,4},{12,31,3251},{12,31,3251},{12,31,3251},{11,31,2201},{11,31,2668},{10,31,1301},{10,31,1301},{9,31,13},{8,31,2528},{7,31,233},{13,31,490},{13,31,490},{13,31,490},{13,31,218},{15,25,802},{12,31,442},{12,31,442},{9,31,4},{15,27,802},{9,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{11,0,1576},
{11,0,1576},{11,0,1576},{11,0,1576},{10,31,340},{10,31,340},{10,31,340},{9,31,13},{7,31,233},{7,31,233},{12,31,3732},{12,31,3132},{12,31,2771},{12,31,2171},{12,31,3444},{11,31,1834},{11,31,1209},{10,31,37},{10,31,3219},{8,31,400},{14,31,456},{14,31,392},{14,31,356},{13,31,170},{14,31,684},{13,31,459},{13,31,290},{10,31,1},{14,30,683},{10,31,1},{12,31,2771},{12,31,2771},{12,31,2771},
{12,31,2171},{11,31,2348},{11,31,1209},{11,31,1209},{10,31,37},{9,31,2156},{8,31,400},{14,31,356},{14,31,356},{14,31,356},{13,31,170},{15,26,512},{13,31,290},{13,31,290},{10,31,1},{14,29,512},{10,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{11,0,1640},{11,0,1640},{11,0,1640},{11,0,1640},{10,31,436},
{10,31,436},{10,31,436},{10,31,37},{8,31,400},{8,31,400},{13,31,3172},{13,31,2900},{12,31,2547},{12,31,1947},{12,31,2932},{12,31,1732},{11,31,1145},{10,31,53},{11,31,2695},{8,31,464},{14,31,264},{14,31,200},{14,31,164},{14,31,100},{15,28,387},{14,31,268},{13,31,178},{11,31,1},{15,29,396},{11,31,1},{12,31,2547},{12,31,2547},{12,31,2547},{12,31,1947},{12,31,1971},{11,31,1145},{11,31,1145},
{10,31,53},{10,31,1794},{8,31,464},{14,31,164},{14,31,164},{14,31,164},{14,31,100},{15,27,290},{13,31,178},{13,31,178},{11,31,1},{14,30,290},{11,31,1},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{12,0,1586},{12,0,1586},{12,0,1586},{12,0,1586},{11,31,520},{11,31,520},{11,31,520},{10,31,53},{8,31,464},
{8,31,464},{0,23,2665},{0,18,680},{0,13,50},{0,11,785},{0,15,5885},{0,11,4118},{0,10,1800},{0,7,4202},{0,8,6546},{0,7,4643},{0,23,2665},{0,18,680},{0,13,50},{0,11,785},{3,5,5885},{0,11,4118},{0,10,1800},{0,7,4202},{0,9,5885},{0,7,4202},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,549},{0,5,289},{0,5,289},{0,3,306},{0,3,630},{0,3,387},{0,11,0},
{0,11,0},{0,11,0},{0,7,4},{1,2,545},{0,5,289},{0,5,289},{0,3,306},{2,1,545},{0,3,306},{6,3,2665},{0,18,680},{0,13,50},{0,11,785},{6,3,2665},{11,0,2665},{0,11,785},{0,8,2689},{11,0,2665},{0,8,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,25,2665},{0,20,521},{0,14,5},
{0,12,625},{0,17,6669},{0,13,4529},{0,11,1890},{0,8,4610},{0,9,7494},{0,7,5171},{0,25,2665},{0,20,521},{0,14,5},{0,12,625},{3,7,6669},{0,13,4529},{0,11,1890},{0,8,4610},{8,0,6669},{0,8,4610},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,7,841},{0,6,445},{0,6,445},{0,4,464},{0,3,982},{0,3,595},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{2,0,841},
{0,6,445},{0,6,445},{0,4,464},{1,3,841},{0,4,464},{7,2,2665},{0,20,521},{0,14,5},{0,12,625},{7,2,2665},{12,0,2665},{0,12,625},{0,9,2689},{12,0,2665},{0,9,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,28,2665},{0,22,405},{0,15,10},{0,13,514},{0,19,7541},{0,14,4934},{0,12,2042},
{0,9,5045},{0,10,8546},{0,8,5682},{0,28,2665},{0,22,405},{0,15,10},{0,13,514},{5,2,7538},{0,14,4934},{0,12,2042},{0,9,5045},{8,1,7538},{0,9,5045},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{0,8,1201},{0,7,637},{0,7,637},{0,4,656},{0,4,1385},{0,4,800},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{1,5,1201},{0,7,637},{0,7,637},{0,4,656},{4,0,1201},
{0,4,656},{6,8,2665},{0,22,405},{0,15,10},{0,13,514},{6,8,2665},{11,3,2665},{0,13,514},{0,10,2689},{11,3,2665},{0,10,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,30,2669},{0,23,313},{0,16,68},{0,15,410},{0,20,8498},{0,16,5330},{0,13,2210},{0,10,5530},{0,11,9702},{0,9,6270},{0,30,2669},
{0,23,313},{0,16,68},{0,15,410},{4,7,8493},{0,16,5330},{0,13,2210},{0,10,5530},{8,2,8493},{0,10,5530},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{0,9,1629},{0,8,832},{0,8,832},{0,5,881},{0,5,1874},{0,5,1106},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{2,3,1625},{0,8,832},{0,8,832},{0,5,881},{4,1,1625},{0,5,881},{8,2,2665},{0,23,313},{1,16,8},
{0,15,410},{8,2,2665},{14,1,2665},{0,15,410},{0,11,2689},{14,1,2665},{0,11,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,31,2777},{0,26,232},{0,17,197},{0,16,305},{0,22,9674},{0,17,5849},{0,14,2450},{0,10,6106},{0,12,11199},{0,10,7006},{0,31,2777},{0,26,232},{0,17,197},{0,16,305},{1,19,9669},
{0,17,5849},{0,14,2450},{0,10,6106},{9,2,9669},{0,10,6106},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{0,11,2178},{0,10,1125},{0,10,1125},{0,6,1189},{0,6,2520},{0,5,1475},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{3,1,2178},{0,10,1125},{0,10,1125},{0,6,1189},{3,3,2178},{0,6,1189},{9,2,2665},{0,26,232},{1,17,17},{0,16,305},{9,2,2665},{13,4,2665},{0,16,305},
{0,12,2689},{13,4,2665},{0,12,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,31,3045},{0,28,217},{0,19,401},{0,17,282},{0,25,9670},{0,19,5529},{0,16,1970},{0,12,5738},{0,13,11589},{0,11,6898},{1,31,2789},{0,28,217},{1,18,146},{0,17,282},{5,8,9669},{0,19,5529},{0,16,1970},{0,12,5738},{4,10,9669},
{0,12,5738},{0,24,64},{0,24,64},{0,24,64},{0,15,68},{0,13,2180},{0,11,949},{0,11,949},{0,7,1018},{0,7,2691},{0,6,1433},{1,21,64},{1,21,64},{1,21,64},{1,13,68},{4,0,2178},{0,11,949},{0,11,949},{0,7,1018},{1,7,2178},{0,7,1018},{10,1,2665},{0,28,153},{2,18,5},{0,17,218},{10,1,2665},{15,3,2665},{0,17,218},{0,13,2689},{15,3,2665},{0,13,2689},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,3,1},{0,3,1},{0,3,1},{0,2,4},{0,1,18},{0,1,18},{1,31,3285},{0,29,341},{1,19,453},{0,18,405},{0,27,9674},{0,20,5170},{0,17,1546},{0,13,5429},{0,15,11993},{0,12,6819},{2,31,2966},{1,28,221},{1,19,197},{1,18,305},{7,4,9669},{0,20,5170},{0,17,1546},{0,13,5429},{9,5,9669},{0,13,5429},{0,27,257},{0,27,257},{0,27,257},
{1,15,256},{0,16,2178},{0,13,832},{0,13,832},{0,8,881},{0,8,2882},{0,7,1427},{1,23,4},{1,23,4},{1,23,4},{1,15,0},{3,6,2178},{0,13,832},{0,13,832},{0,8,881},{3,6,2178},{0,8,881},{11,0,2665},{0,29,85},{2,19,10},{0,18,149},{11,0,2665},{13,7,2665},{0,18,149},{0,14,2689},{13,7,2665},{0,14,2689},{0,0,256},{0,0,256},{0,0,256},{0,0,256},{0,5,1},
{0,5,1},{0,5,1},{0,3,1},{0,2,72},{0,2,72},{1,31,3909},{1,29,465},{1,21,676},{1,19,538},{0,30,9669},{0,22,4878},{0,18,1190},{0,14,5138},{0,16,12390},{0,13,6789},{2,31,2966},{1,29,209},{2,20,149},{1,19,282},{6,10,9669},{0,22,4878},{0,18,1190},{0,14,5138},{12,3,9669},{0,14,5138},{1,26,320},{1,26,320},{1,26,320},{1,16,324},{0,19,2180},{0,15,680},{0,15,680},
{0,9,740},{0,9,3149},{0,8,1441},{1,26,64},{1,26,64},{1,26,64},{1,16,68},{5,2,2178},{0,15,680},{0,15,680},{0,9,740},{8,1,2178},{0,9,740},{11,3,2665},{0,31,41},{3,20,8},{0,19,98},{11,3,2665},{15,6,2665},{0,19,98},{0,15,2689},{15,6,2665},{0,15,2689},{1,0,320},{1,0,320},{1,0,320},{1,0,320},{0,8,0},{0,8,0},{0,8,0},{0,5,1},{0,4,160},
{0,4,160},{2,31,4514},{1,31,630},{1,22,1110},{1,20,694},{0,31,9789},{0,23,4646},{0,20,849},{0,15,4826},{0,18,12955},{0,14,6798},{3,31,3101},{2,30,232},{2,21,197},{2,20,305},{3,23,9669},{0,23,4646},{0,20,849},{0,15,4826},{11,6,9669},{0,15,4826},{1,29,545},{1,29,545},{1,29,545},{1,18,546},{0,22,2180},{0,17,505},{0,17,505},{0,11,610},{0,11,3467},{0,10,1513},{2,26,1},
{2,26,1},{2,26,1},{2,17,0},{5,5,2178},{0,17,505},{0,17,505},{0,11,610},{5,7,2178},{0,11,610},{11,6,2665},{1,31,85},{3,21,17},{0,20,65},{11,6,2665},{15,8,2665},{0,20,65},{0,16,2689},{15,8,2665},{0,16,2689},{1,0,545},{1,0,545},{1,0,545},{1,0,545},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,289},{0,5,289},{2,31,5330},{1,31,1110},{2,23,1490},
{1,21,979},{1,31,9981},{0,26,4406},{0,21,579},{0,16,4610},{0,19,13489},{0,15,6846},{3,31,3341},{2,31,226},{3,22,146},{2,21,282},{9,4,9669},{0,26,4406},{0,21,579},{0,16,4610},{9,10,9669},{0,16,4610},{1,31,885},{1,31,885},{1,31,885},{1,20,885},{0,24,2178},{0,19,389},{0,19,389},{0,12,464},{0,12,3885},{0,11,1603},{3,25,64},{3,25,64},{3,25,64},{3,17,68},{7,1,2178},
{0,19,389},{0,19,389},{0,12,464},{10,2,2178},{0,12,464},{13,2,2665},{2,31,162},{4,22,5},{0,22,37},{13,2,2665},{12,13,2665},{0,22,37},{0,17,2689},{12,13,2665},{0,17,2689},{1,0,881},{1,0,881},{1,0,881},{1,0,881},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,6,445},{0,6,445},{3,31,6366},{2,31,1635},{2,24,1886},{1,22,1410},{1,31,10381},{0,28,4146},{0,22,377},
{0,17,4373},{0,20,14006},{0,16,6915},{4,31,3434},{3,31,242},{3,23,197},{3,22,305},{10,3,9669},{0,28,4146},{0,22,377},{0,17,4373},{11,9,9669},{0,17,4373},{2,31,1346},{2,31,1346},{2,31,1346},{2,20,1345},{0,27,2180},{0,21,274},{0,21,274},{0,13,353},{0,14,4269},{0,11,1763},{3,27,4},{3,27,4},{3,27,4},{3,19,0},{5,10,2178},{0,21,274},{0,21,274},{0,13,353},{12,1,2178},
{0,13,353},{14,1,2665},{3,31,242},{4,23,10},{0,23,10},{14,1,2665},{15,11,2665},{0,23,10},{0,18,2689},{15,11,2665},{0,18,2689},{1,0,1345},{1,0,1345},{1,0,1345},{1,0,1345},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{0,7,637},{0,7,637},{3,31,7374},{2,31,2339},{2,25,2441},{2,23,1763},{2,31,11019},{0,29,3909},{0,23,243},{0,18,4154},{0,22,14614},{0,17,7029},{5,31,3654},
{4,31,394},{4,24,149},{3,23,282},{9,9,9669},{0,29,3909},{0,23,243},{0,18,4154},{14,7,9669},{0,18,4154},{2,31,1714},{2,31,1714},{2,31,1714},{2,22,1669},{0,29,2180},{0,23,194},{0,23,194},{0,14,260},{0,15,4686},{0,13,1937},{3,30,64},{3,30,64},{3,30,64},{3,20,68},{8,1,2178},{0,23,194},{0,23,194},{0,14,260},{10,5,2178},{0,14,260},{15,0,2665},{4,31,313},{5,24,8},
{0,24,4},{15,0,2665},{13,15,2665},{0,24,4},{0,19,2689},{13,15,2665},{0,19,2689},{2,0,1665},{2,0,1665},{2,0,1665},{2,0,1665},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{0,8,832},{0,8,832},{3,31,8967},{3,31,3510},{3,26,3255},{2,24,2243},{2,31,11766},{0,31,3686},{0,25,138},{0,19,3938},{0,23,15369},{0,18,7206},{5,31,3933},{4,31,457},{4,25,197},{4,24,305},{12,2,9669},
{0,31,3686},{0,25,138},{0,19,3938},{13,10,9669},{0,19,3938},{2,31,2434},{2,31,2434},{2,31,2434},{2,23,2182},{0,31,2210},{0,25,137},{0,25,137},{0,15,181},{0,16,5157},{0,14,2163},{4,30,1},{4,30,1},{4,30,1},{4,21,0},{8,4,2178},{0,25,137},{0,25,137},{0,15,181},{14,2,2178},{0,15,181},{15,3,2665},{5,31,421},{5,25,17},{1,25,5},{15,3,2665},{12,18,2665},{1,25,5},
{0,20,2689},{12,18,2665},{0,20,2689},{2,0,2178},{2,0,2178},{2,0,2178},{2,0,2178},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{0,10,1125},{0,10,1125},{4,31,10234},{3,31,4421},{3,27,3739},{2,26,2742},{2,31,12773},{0,31,3719},{0,26,87},{0,20,3771},{0,25,16061},{0,19,7283},{6,31,4050},{5,31,629},{5,26,146},{4,25,282},{11,8,9669},{0,31,3718},{0,26,86},{0,20,3770},{11,14,9669},
{0,20,3770},{3,31,3125},{3,31,3125},{3,31,3125},{2,25,2706},{1,31,2411},{0,26,86},{0,26,86},{0,16,129},{0,18,5544},{0,15,2318},{5,29,64},{5,29,64},{5,29,64},{5,21,68},{3,25,2178},{0,26,85},{0,26,85},{0,16,128},{12,6,2178},{0,16,128},{15,6,2665},{5,31,565},{6,26,5},{1,26,2},{15,6,2665},{14,17,2665},{1,26,2},{0,21,2689},{14,17,2665},{0,21,2689},{2,0,2705},
{2,0,2705},{2,0,2705},{2,0,2705},{0,24,1},{0,24,1},{0,24,1},{0,15,5},{0,11,1348},{0,11,1348},{4,31,10874},{4,31,5018},{3,28,3750},{3,26,2754},{3,31,13045},{1,31,4003},{0,27,183},{0,21,3686},{0,27,15601},{0,20,6570},{7,31,4366},{5,31,965},{5,27,197},{5,26,305},{12,7,9669},{1,31,3954},{0,27,102},{0,21,3605},{13,13,9669},{0,21,3605},{3,31,3173},{3,31,3173},{3,31,3173},
{3,25,2690},{1,31,2427},{0,28,113},{0,28,113},{0,17,170},{0,20,5170},{0,16,1856},{5,31,4},{5,31,4},{5,31,4},{5,23,0},{9,6,2178},{0,28,32},{0,28,32},{0,17,89},{14,5,2178},{0,17,89},{15,8,2665},{6,31,706},{6,27,10},{2,27,10},{15,8,2665},{12,21,2665},{2,27,10},{0,22,2689},{12,21,2665},{0,22,2689},{3,0,2689},{3,0,2689},{3,0,2689},{3,0,2689},{1,23,53},
{1,23,53},{1,23,53},{1,15,49},{0,13,1217},{0,13,1217},{5,31,11278},{4,31,5402},{4,29,3753},{3,28,2745},{4,31,13566},{1,31,4403},{1,28,77},{0,22,3747},{0,28,15046},{0,21,5958},{7,31,4590},{6,31,1171},{6,28,149},{5,27,282},{14,3,9669},{2,31,4265},{1,28,76},{0,22,3458},{11,17,9669},{0,22,3458},{4,31,3377},{4,31,3377},{4,31,3377},{3,27,2706},{2,31,2532},{1,28,73},{1,28,73},
{1,18,129},{0,21,4837},{0,17,1490},{6,31,82},{6,31,82},{6,31,82},{5,24,68},{10,5,2178},{0,30,8},{0,30,8},{0,19,49},{12,9,2178},{0,19,49},{15,11,2665},{7,31,850},{7,28,8},{2,28,4},{15,11,2665},{15,19,2665},{2,28,4},{0,23,2689},{15,19,2665},{0,23,2689},{3,0,2705},{3,0,2705},{3,0,2705},{3,0,2705},{1,26,1},{1,26,1},{1,26,1},{1,16,5},{0,14,1037},
{0,14,1037},{6,31,11954},{5,31,6090},{4,30,3794},{4,28,2754},{5,31,14170},{2,31,4863},{2,29,187},{1,24,3689},{0,30,14558},{0,23,5274},{8,31,5030},{7,31,1556},{6,29,197},{6,28,305},{14,6,9669},{3,31,4594},{1,29,101},{0,24,3265},{15,14,9669},{0,24,3265},{4,31,3530},{4,31,3530},{4,31,3530},{4,27,2693},{2,31,2739},{1,30,134},{1,30,134},{1,19,197},{0,23,4506},{0,19,1109},{6,31,64},
{6,31,64},{6,31,64},{6,25,0},{10,8,2178},{1,30,34},{1,30,34},{0,20,16},{11,12,2178},{0,20,16},{15,14,2665},{8,31,1053},{7,29,17},{3,29,5},{15,14,2665},{14,22,2665},{3,29,5},{0,24,2689},{14,22,2665},{0,24,2689},{4,0,2689},{4,0,2689},{4,0,2689},{4,0,2689},{2,26,50},{2,26,50},{2,26,50},{2,17,49},{0,16,818},{0,16,818},{6,31,12466},{5,31,6794},{5,31,3739},
{4,30,2742},{5,31,14554},{3,31,5363},{2,30,87},{1,24,3737},{0,31,14190},{0,24,4785},{8,31,5158},{7,31,2036},{7,30,146},{6,29,282},{13,12,9669},{4,31,4806},{2,30,86},{0,25,3130},{13,18,9669},{0,25,3130},{5,31,3658},{5,31,3658},{5,31,3658},{4,29,2706},{3,31,2795},{2,30,86},{2,30,86},{2,20,129},{0,25,4315},{0,20,809},{7,31,100},{7,31,100},{7,31,100},{7,25,68},{9,14,2178},
{1,31,68},{1,31,68},{0,21,1},{14,10,2178},{0,21,1},{13,23,2665},{9,31,1241},{8,30,50},{3,30,2},{13,23,2665},{11,27,2665},{3,30,2},{0,25,2689},{11,27,2665},{0,25,2689},{4,0,2705},{4,0,2705},{4,0,2705},{4,0,2705},{2,28,1},{2,28,1},{2,28,1},{2,19,5},{0,18,666},{0,18,666},{7,31,13094},{6,31,7445},{5,31,3915},{5,30,2754},{6,31,14998},{4,31,5926},{2,31,183},
{2,25,3686},{0,31,14254},{0,25,4323},{9,31,5546},{8,31,2478},{7,31,197},{7,30,305},{14,11,9669},{5,31,5138},{2,31,102},{0,26,3013},{15,17,9669},{0,26,3013},{5,31,3914},{5,31,3914},{5,31,3914},{5,29,2690},{4,31,3042},{2,31,182},{2,31,182},{2,21,170},{0,27,4059},{0,21,597},{7,31,196},{7,31,196},{7,31,196},{7,27,0},{11,10,2178},{2,31,101},{2,31,101},{0,22,4},{5,23,2178},
{0,22,4},{15,19,2665},{10,31,1384},{8,31,5},{4,31,10},{15,19,2665},{14,25,2665},{4,31,10},{0,26,2689},{14,25,2665},{0,26,2689},{5,0,2689},{5,0,2689},{5,0,2689},{5,0,2689},{3,27,53},{3,27,53},{3,27,53},{3,19,49},{0,20,505},{0,20,505},{7,31,12517},{6,31,7482},{6,31,4001},{5,31,2706},{6,31,14185},{4,31,5491},{3,31,154},{2,26,3124},{0,31,13437},{0,26,3306},{9,31,4949},
{8,31,2261},{8,31,325},{7,30,192},{14,13,8712},{6,31,4686},{3,31,153},{0,27,2403},{11,23,8712},{0,27,2403},{6,31,4001},{6,31,4001},{6,31,4001},{5,31,2706},{4,31,3234},{3,31,154},{3,31,154},{3,22,129},{0,28,3762},{0,23,425},{8,31,325},{8,31,325},{8,31,325},{7,28,68},{12,9,2178},{3,31,153},{3,31,153},{1,23,1},{14,13,2178},{1,23,1},{13,27,2178},{10,31,1157},{9,31,16},
{5,31,1},{13,27,2178},{13,27,2178},{5,31,1},{0,27,2178},{13,27,2178},{0,27,2178},{5,0,2705},{5,0,2705},{5,0,2705},{5,0,2705},{3,30,1},{3,30,1},{3,30,1},{3,20,5},{0,22,389},{0,22,389},{8,31,12034},{7,31,7195},{6,31,4370},{6,31,2693},{7,31,13066},{5,31,5014},{4,31,261},{3,27,2390},{1,31,12394},{0,27,2277},{10,31,4410},{9,31,2045},{8,31,289},{8,30,192},{14,15,7578},
{7,31,4050},{4,31,212},{0,27,1701},{12,23,7578},{0,27,1701},{6,31,4370},{6,31,4370},{6,31,4370},{6,31,2693},{5,31,3429},{4,31,261},{4,31,261},{3,23,197},{0,30,3509},{0,24,306},{8,31,289},{8,31,289},{8,31,289},{8,28,68},{15,2,2178},{4,31,212},{4,31,212},{1,24,9},{13,16,2178},{1,24,9},{15,22,1625},{11,31,850},{9,31,25},{6,31,4},{15,22,1625},{13,28,1625},{6,31,4},
{0,27,1665},{13,28,1625},{0,27,1665},{6,0,2689},{6,0,2689},{6,0,2689},{6,0,2689},{4,30,50},{4,30,50},{4,30,50},{4,21,49},{0,24,306},{0,24,306},{8,31,11042},{7,31,7259},{7,31,4450},{6,31,2805},{7,31,12298},{5,31,4742},{4,31,501},{4,27,1875},{2,31,11643},{0,28,1578},{10,31,3802},{9,31,1869},{9,31,425},{8,31,25},{13,20,6661},{7,31,3554},{5,31,292},{0,28,1217},{13,23,6662},
{0,28,1217},{7,31,4450},{7,31,4450},{7,31,4450},{6,31,2805},{6,31,3714},{4,31,501},{4,31,501},{4,24,129},{0,31,3354},{0,25,244},{9,31,425},{9,31,425},{9,31,425},{8,30,0},{11,18,2178},{5,31,292},{5,31,292},{2,25,1},{10,21,2178},{2,25,1},{15,23,1201},{11,31,674},{10,31,9},{7,31,16},{15,23,1201},{12,30,1201},{7,31,16},{0,28,1201},{12,30,1201},{0,28,1201},{6,0,2705},
{6,0,2705},{6,0,2705},{6,0,2705},{4,31,17},{4,31,17},{4,31,17},{4,23,5},{0,26,218},{0,26,218},{8,31,10434},{8,31,7186},{7,31,4898},{7,31,2833},{8,31,11595},{6,31,4462},{5,31,629},{4,28,1387},{3,31,10895},{0,28,1002},{11,31,3446},{10,31,1707},{9,31,505},{8,31,73},{13,22,5829},{8,31,3170},{6,31,405},{1,28,869},{12,25,5829},{1,28,869},{7,31,4898},{7,31,4898},{7,31,4898},
{7,31,2833},{6,31,3906},{5,31,629},{5,31,629},{4,25,170},{0,31,3546},{0,27,228},{9,31,505},{9,31,505},{9,31,505},{9,30,68},{13,14,2178},{6,31,405},{6,31,405},{2,26,4},{8,25,2178},{2,26,4},{13,31,841},{12,31,461},{11,31,1},{8,31,9},{13,31,841},{15,27,841},{8,31,9},{0,28,865},{15,27,841},{0,28,865},{7,0,2689},{7,0,2689},{7,0,2689},{7,0,2689},{5,31,53},
{5,31,53},{5,31,53},{5,23,49},{0,28,137},{0,28,137},{9,31,10014},{8,31,6962},{8,31,5026},{7,31,3105},{8,31,10683},{7,31,4354},{6,31,933},{5,28,1019},{4,31,10078},{0,29,630},{11,31,2934},{10,31,1611},{10,31,650},{9,31,25},{15,17,5082},{8,31,2786},{7,31,521},{1,29,546},{12,26,5082},{1,29,546},{8,31,5026},{8,31,5026},{8,31,5026},{7,31,3105},{7,31,4170},{6,31,933},{6,31,933},
{5,26,129},{1,31,3814},{0,28,234},{10,31,650},{10,31,650},{10,31,650},{9,31,25},{14,13,2178},{7,31,521},{7,31,521},{3,27,1},{11,23,2178},{3,27,1},{15,26,545},{13,31,313},{12,31,4},{10,31,4},{15,26,545},{14,29,545},{10,31,4},{0,29,545},{14,29,545},{0,29,545},{7,0,2705},{7,0,2705},{7,0,2705},{7,0,2705},{5,31,101},{5,31,101},{5,31,101},{5,24,5},{0,29,85},
{0,29,85},{9,31,9465},{9,31,7065},{8,31,5233},{8,31,3329},{8,31,10116},{7,31,4183},{6,31,1338},{5,29,645},{5,31,9447},{0,30,441},{11,31,2664},{11,31,1525},{10,31,848},{10,31,113},{15,19,4344},{9,31,2424},{8,31,724},{2,30,321},{13,26,4344},{2,30,321},{8,31,5233},{8,31,5233},{8,31,5233},{8,31,3329},{7,31,4629},{6,31,1338},{6,31,1338},{5,27,197},{2,31,4212},{1,29,213},{10,31,848},
{10,31,848},{10,31,848},{10,31,113},{14,16,2178},{8,31,724},{8,31,724},{3,28,9},{15,20,2178},{3,28,9},{15,27,290},{13,31,178},{13,31,9},{11,31,1},{15,27,290},{14,30,290},{11,31,1},{0,29,320},{14,30,290},{0,29,320},{8,0,2929},{8,0,2929},{8,0,2929},{8,0,2929},{6,31,113},{6,31,113},{6,31,113},{6,25,49},{0,31,45},{0,31,45},{10,31,9329},{9,31,6985},{9,31,5541},
{8,31,3473},{9,31,9496},{8,31,4420},{7,31,1630},{6,29,426},{5,31,9031},{1,30,301},{12,31,2275},{11,31,1557},{11,31,932},{10,31,225},{13,27,3779},{10,31,2086},{8,31,884},{3,30,129},{13,27,3779},{3,30,129},{9,31,5541},{9,31,5541},{9,31,5541},{8,31,3473},{8,31,4836},{7,31,1630},{7,31,1630},{6,28,129},{4,31,4442},{1,30,237},{11,31,932},{11,31,932},{11,31,932},{10,31,225},{13,22,2178},
{8,31,884},{8,31,884},{4,29,1},{12,25,2178},{4,29,1},{15,28,130},{14,31,72},{13,31,25},{12,31,9},{15,28,130},{15,29,136},{12,31,9},{0,30,128},{15,29,136},{0,30,128},{8,0,2689},{8,0,2689},{8,0,2689},{8,0,2689},{6,31,257},{6,31,257},{6,31,257},{6,27,5},{1,31,89},{1,31,89},{10,31,8929},{10,31,7186},{9,31,5845},{9,31,3829},{9,31,9208},{8,31,4260},{7,31,2270},
{6,30,245},{6,31,8708},{2,31,228},{12,31,2115},{12,31,1515},{12,31,1154},{11,31,353},{13,29,3299},{11,31,1938},{10,31,1013},{4,30,68},{14,27,3299},{4,30,68},{9,31,5845},{9,31,5845},{9,31,5845},{9,31,3829},{8,31,5124},{7,31,2270},{7,31,2270},{6,29,170},{4,31,4762},{2,31,228},{12,31,1154},{12,31,1154},{12,31,1154},{11,31,353},{15,18,2178},{10,31,1013},{10,31,1013},{4,30,4},{10,29,2178},
{4,30,4},{15,30,34},{14,31,40},{14,31,4},{14,31,4},{15,30,34},{15,30,34},{14,31,4},{0,30,64},{15,30,34},{0,30,64},{8,0,2705},{8,0,2705},{8,0,2705},{8,0,2705},{7,31,245},{7,31,245},{7,31,245},{7,27,49},{2,31,164},{2,31,164},{11,31,8857},{10,31,7170},{10,31,6209},{9,31,4133},{10,31,8853},{8,31,4484},{8,31,2548},{7,31,170},{7,31,8388},{3,31,244},{13,31,1971},
{12,31,1611},{12,31,1250},{11,31,625},{15,24,2904},{11,31,1826},{10,31,1157},{5,31,1},{15,27,2907},{5,31,1},{10,31,6209},{10,31,6209},{10,31,6209},{9,31,4133},{9,31,5460},{8,31,2548},{8,31,2548},{7,30,129},{5,31,5126},{3,31,244},{12,31,1250},{12,31,1250},{12,31,1250},{11,31,625},{13,27,2178},{10,31,1157},{10,31,1157},{5,31,1},{13,27,2178},{5,31,1},{15,31,0},{15,31,0},{15,31,0},
{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{9,0,2689},{9,0,2689},{9,0,2689},{9,0,2689},{7,31,485},{7,31,485},{7,31,485},{7,28,5},{3,31,244},{3,31,244},{11,31,7705},{11,31,6566},{10,31,5633},{10,31,3890},{10,31,7737},{9,31,3874},{8,31,2386},{7,31,116},{7,31,7398},{4,31,317},{13,31,1458},{13,31,1186},{13,31,1017},{12,31,425},{15,25,2166},
{12,31,1398},{11,31,850},{6,31,4},{12,31,2166},{6,31,4},{10,31,5633},{10,31,5633},{10,31,5633},{10,31,3890},{9,31,4830},{8,31,2386},{8,31,2386},{7,31,116},{6,31,4509},{4,31,317},{13,31,1017},{13,31,1017},{13,31,1017},{12,31,425},{15,22,1625},{11,31,850},{11,31,850},{6,31,4},{13,28,1625},{6,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},
{0,31,0},{15,31,0},{0,31,0},{9,0,2725},{9,0,2725},{9,0,2725},{9,0,2725},{8,31,450},{8,31,450},{8,31,450},{7,30,101},{4,31,317},{4,31,317},{11,31,6953},{11,31,5814},{11,31,5189},{10,31,3650},{11,31,6713},{10,31,3531},{9,31,2142},{8,31,74},{8,31,6397},{5,31,425},{13,31,1138},{13,31,866},{13,31,697},{12,31,361},{15,26,1601},{12,31,1046},{11,31,674},{7,31,16},{14,29,1601},
{7,31,16},{11,31,5189},{11,31,5189},{11,31,5189},{10,31,3650},{10,31,4313},{9,31,2142},{9,31,2142},{8,31,74},{7,31,3981},{5,31,425},{13,31,697},{13,31,697},{13,31,697},{12,31,361},{15,23,1201},{11,31,674},{11,31,674},{7,31,16},{12,30,1201},{7,31,16},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{10,0,2689},
{10,0,2689},{10,0,2689},{10,0,2689},{8,31,578},{8,31,578},{8,31,578},{8,30,49},{5,31,425},{5,31,425},{12,31,6211},{11,31,5318},{11,31,4693},{11,31,3554},{11,31,5833},{10,31,3067},{10,31,2106},{8,31,10},{9,31,5601},{6,31,580},{14,31,825},{13,31,674},{13,31,505},{13,31,233},{15,27,1122},{13,31,738},{12,31,461},{8,31,9},{13,31,1122},{8,31,9},{11,31,4693},{11,31,4693},{11,31,4693},
{11,31,3554},{10,31,3849},{10,31,2106},{10,31,2106},{8,31,10},{7,31,3629},{6,31,580},{13,31,505},{13,31,505},{13,31,505},{13,31,233},{13,31,841},{12,31,461},{12,31,461},{8,31,9},{15,27,841},{8,31,9},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{10,0,2705},{10,0,2705},{10,0,2705},{10,0,2705},{9,31,666},
{9,31,666},{9,31,666},{8,31,10},{6,31,580},{6,31,580},{12,31,5427},{12,31,4827},{11,31,4453},{11,31,3314},{12,31,5175},{10,31,2859},{10,31,1898},{9,31,74},{10,31,4842},{7,31,724},{14,31,489},{14,31,425},{14,31,389},{13,31,169},{14,31,729},{13,31,482},{13,31,313},{10,31,4},{14,30,726},{10,31,4},{11,31,4453},{11,31,4453},{11,31,4453},{11,31,3314},{11,31,3445},{10,31,1898},{10,31,1898},
{9,31,74},{8,31,3213},{7,31,724},{14,31,389},{14,31,389},{14,31,389},{13,31,169},{15,26,545},{13,31,313},{13,31,313},{10,31,4},{14,29,545},{10,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{11,0,2689},{11,0,2689},{11,0,2689},{11,0,2689},{9,31,890},{9,31,890},{9,31,890},{9,31,74},{7,31,724},
{7,31,724},{2,31,33740},{0,31,5184},{0,22,420},{0,21,4221},{1,31,46089},{0,29,24105},{0,21,8317},{0,18,24790},{0,21,63990},{0,16,38959},{1,31,9704},{0,30,2866},{0,21,389},{0,19,3229},{7,2,18065},{0,20,13257},{0,17,6153},{0,12,13481},{12,0,18065},{0,12,13481},{0,15,1},{0,15,1},{0,15,1},{0,9,1},{0,8,1105},{0,7,585},{0,7,585},{0,4,596},{0,4,1273},{0,4,740},{0,15,1},
{0,15,1},{0,15,1},{0,9,1},{2,1,1105},{0,7,585},{0,7,585},{0,4,596},{4,0,1105},{0,4,596},{9,6,9248},{0,30,2866},{0,21,389},{0,19,3229},{9,6,9248},{14,5,9248},{0,19,3229},{0,14,9248},{14,5,9248},{0,14,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,31,38380},{0,31,6720},{0,23,245},
{0,22,3864},{2,31,50747},{0,31,24961},{0,22,8353},{0,19,25735},{0,22,65535},{0,17,41319},{1,31,10152},{0,31,2624},{0,23,229},{0,20,2980},{5,10,19334},{0,20,13769},{0,18,6243},{0,13,14116},{12,1,19334},{0,13,14116},{0,18,0},{0,18,0},{0,18,0},{0,11,1},{0,9,1513},{0,8,772},{0,8,772},{0,5,821},{0,5,1750},{0,4,1028},{0,18,0},{0,18,0},{0,18,0},{0,11,1},{1,6,1513},
{0,8,772},{0,8,772},{0,5,821},{3,2,1513},{0,5,821},{10,5,9248},{0,31,2624},{0,23,229},{0,20,2980},{10,5,9248},{12,9,9248},{0,20,2980},{0,15,9248},{12,9,9248},{0,15,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,31,43788},{0,31,9024},{0,24,126},{0,23,3525},{2,31,56155},{0,31,26241},{0,23,8425},
{0,20,26793},{0,23,65535},{0,18,43819},{2,31,10787},{0,31,2624},{0,24,122},{0,21,2701},{8,0,20689},{0,22,14385},{0,19,6369},{0,13,14756},{12,2,20689},{0,13,14756},{0,21,1},{0,21,1},{0,21,1},{0,12,4},{0,10,1989},{0,9,1018},{0,9,1018},{0,6,1096},{0,5,2294},{0,5,1334},{0,21,1},{0,21,1},{0,21,1},{0,12,4},{1,7,1985},{0,9,1018},{0,9,1018},{0,6,1096},{1,5,1985},
{0,6,1096},{12,1,9248},{0,31,2624},{0,24,122},{0,21,2701},{12,1,9248},{15,7,9248},{0,21,2701},{0,16,9250},{15,7,9248},{0,16,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,31,49964},{1,31,11512},{0,25,41},{0,24,3109},{2,31,62331},{0,31,28289},{0,24,8585},{0,21,27848},{0,23,65535},{0,19,46459},{2,31,11395},
{0,31,2880},{0,25,37},{0,22,2440},{8,2,22129},{0,23,15030},{0,20,6509},{0,14,15441},{13,2,22129},{0,14,15441},{0,23,1},{0,23,1},{0,23,1},{0,14,0},{0,12,2525},{0,10,1300},{0,10,1300},{0,6,1384},{0,6,2905},{0,6,1708},{0,23,1},{0,23,1},{0,23,1},{0,14,0},{3,2,2521},{0,10,1300},{0,10,1300},{0,6,1384},{5,1,2521},{0,6,1384},{11,7,9248},{0,31,2880},{0,25,37},
{0,22,2440},{11,7,9248},{13,11,9248},{0,22,2440},{0,17,9250},{13,11,9248},{0,17,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,31,57022},{1,31,15166},{0,26,20},{0,25,2804},{2,31,65535},{0,31,31511},{0,25,8733},{0,22,29095},{0,26,65535},{0,20,49444},{2,31,12385},{0,31,3474},{0,26,4},{0,23,2173},{8,4,23851},
{0,23,15948},{0,21,6729},{0,15,16274},{14,2,23851},{0,15,16274},{0,26,0},{0,26,0},{0,26,0},{0,16,4},{0,13,3200},{0,11,1665},{0,11,1665},{0,7,1754},{0,7,3691},{0,6,2185},{0,26,0},{0,26,0},{0,26,0},{0,16,4},{1,10,3200},{0,11,1665},{0,11,1665},{0,7,1754},{5,2,3200},{0,7,1754},{11,10,9248},{1,31,3226},{0,26,4},{0,23,2173},{11,10,9248},{5,23,9248},{0,23,2173},
{0,18,9248},{5,23,9248},{0,18,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,31,63870},{1,31,19230},{0,27,45},{0,27,2520},{3,31,65535},{0,31,35191},{0,26,8925},{0,23,30250},{0,28,65535},{0,21,52374},{3,31,13449},{1,31,4026},{0,27,29},{0,24,1901},{3,24,25472},{0,26,16706},{0,22,6963},{0,16,17124},{14,3,25472},
{0,16,17124},{0,29,1},{0,29,1},{0,29,1},{0,17,1},{0,14,3874},{0,13,2084},{0,13,2084},{0,8,2165},{0,8,4466},{0,7,2627},{0,29,1},{0,29,1},{0,29,1},{0,17,1},{4,1,3872},{0,13,2084},{0,13,2084},{0,8,2165},{3,5,3872},{0,8,2165},{12,9,9248},{2,31,3593},{0,27,29},{0,24,1901},{12,9,9248},{14,13,9248},{0,24,1901},{0,19,9248},{14,13,9248},{0,19,9248},{0,0,0},
{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,31,65535},{1,31,24002},{0,28,109},{0,27,2268},{3,31,65535},{1,31,39095},{0,27,8825},{0,24,30825},{0,28,65535},{0,22,54996},{3,31,14345},{1,31,4766},{0,29,102},{0,26,1697},{3,26,26744},{0,28,17104},{0,23,6957},{0,17,17625},{15,3,26744},{0,17,17625},{0,31,5},{0,31,5},{0,31,5},
{0,19,5},{0,16,4418},{0,14,2306},{0,14,2306},{0,9,2420},{0,8,5122},{0,8,2997},{0,31,5},{0,31,5},{0,31,5},{0,19,5},{3,6,4418},{0,14,2306},{0,14,2306},{0,9,2420},{3,6,4418},{0,9,2420},{14,5,9248},{4,31,3904},{1,28,1},{0,26,1693},{14,5,9248},{12,17,9248},{0,26,1693},{0,20,9250},{12,17,9248},{0,20,9250},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{3,31,65535},{1,31,29442},{0,29,330},{0,28,2105},{3,31,65535},{1,31,42151},{0,28,7781},{0,25,30108},{0,29,65535},{0,22,56388},{4,31,14976},{2,31,5434},{1,29,62},{0,27,1580},{11,0,26744},{0,29,16547},{0,24,6221},{0,18,17124},{13,7,26744},{0,18,17124},{0,31,181},{0,31,181},{0,31,181},{0,20,101},{0,19,4420},{0,16,2005},{0,16,2005},
{0,10,2165},{0,9,5389},{0,9,2925},{1,31,37},{1,31,37},{1,31,37},{1,19,37},{5,2,4418},{0,16,2005},{0,16,2005},{0,10,2165},{8,1,4418},{0,10,2165},{13,11,9248},{4,31,4160},{1,29,26},{0,27,1480},{13,11,9248},{15,15,9248},{0,27,1480},{0,21,9250},{15,15,9248},{0,21,9250},{0,0,100},{0,0,100},{0,0,100},{0,0,100},{0,3,1},{0,3,1},{0,3,1},{0,2,0},{0,1,34},
{0,1,34},{4,31,65535},{2,31,36070},{0,30,822},{0,30,2062},{3,31,65535},{1,31,46660},{0,29,6696},{0,26,29322},{0,31,65535},{0,23,58077},{4,31,15507},{3,31,6253},{1,31,109},{0,28,1646},{11,3,26744},{0,31,15992},{0,26,5346},{0,19,16582},{11,11,26744},{0,19,16582},{1,31,329},{1,31,329},{1,31,329},{1,21,266},{0,22,4420},{0,18,1737},{0,18,1737},{0,11,1898},{0,11,5707},{0,10,2885},{1,31,73},
{1,31,73},{1,31,73},{1,21,10},{5,5,4418},{0,18,1737},{0,18,1737},{0,11,1898},{5,7,4418},{0,11,1898},{13,14,9248},{5,31,4570},{2,30,4},{0,28,1285},{13,14,9248},{8,25,9248},{0,28,1285},{0,22,9248},{8,25,9248},{0,22,9248},{1,0,265},{1,0,265},{1,0,265},{1,0,265},{0,6,1},{0,6,1},{0,6,1},{0,4,1},{0,3,97},{0,3,97},{4,31,65535},{2,31,40786},{0,31,1405},
{0,30,2138},{4,31,65535},{1,31,49800},{0,30,5634},{0,27,27967},{0,31,65535},{0,24,58770},{5,31,15531},{3,31,6593},{2,31,61},{1,29,1533},{12,2,26259},{0,31,15284},{0,27,4514},{0,20,15812},{13,10,26259},{0,20,15812},{1,31,633},{1,31,633},{1,31,633},{1,22,381},{0,24,4418},{0,20,1480},{0,20,1480},{0,12,1640},{0,12,6125},{0,11,2891},{2,31,61},{2,31,61},{2,31,61},{2,21,37},{7,1,4418},
{0,20,1480},{0,20,1480},{0,12,1640},{10,2,4418},{0,12,1640},{13,16,8978},{6,31,4777},{2,31,25},{0,29,1040},{13,16,8978},{15,18,8978},{0,29,1040},{0,23,8980},{15,18,8978},{0,23,8980},{1,0,377},{1,0,377},{1,0,377},{1,0,377},{0,9,0},{0,9,0},{0,9,0},{0,5,4},{0,4,193},{0,4,193},{4,31,65535},{2,31,40898},{1,31,2217},{0,31,2125},{4,31,65535},{1,31,47976},{0,30,4194},
{0,27,24703},{0,31,65535},{0,24,56130},{5,31,14379},{4,31,6051},{2,31,173},{2,29,1284},{9,14,24371},{0,31,13716},{0,28,3402},{0,21,13989},{14,10,24371},{0,21,13989},{1,31,1193},{1,31,1193},{1,31,1193},{1,24,617},{0,27,4420},{0,22,1280},{0,22,1280},{0,13,1445},{0,14,6509},{0,12,2945},{2,31,173},{2,31,173},{2,31,173},{2,23,5},{5,10,4418},{0,22,1280},{0,22,1280},{0,13,1445},{12,1,4418},
{0,13,1445},{14,14,7938},{7,31,4253},{3,31,9},{0,29,656},{14,14,7938},{14,20,7938},{0,29,656},{0,23,7956},{14,20,7938},{0,23,7956},{1,0,617},{1,0,617},{1,0,617},{1,0,617},{0,11,4},{0,11,4},{0,11,4},{0,7,0},{0,5,325},{0,5,325},{4,31,65535},{2,31,41266},{1,31,3033},{0,31,2333},{4,31,65535},{1,31,46408},{0,30,3010},{0,27,21695},{0,31,65535},{0,25,53636},{6,31,13140},
{4,31,5571},{3,31,157},{2,29,932},{11,9,22568},{0,31,12404},{0,28,2474},{0,21,12245},{14,11,22568},{0,21,12245},{2,31,1630},{2,31,1630},{2,31,1630},{1,26,989},{0,29,4420},{0,23,1090},{0,23,1090},{0,14,1268},{0,15,6926},{0,13,3029},{3,31,157},{3,31,157},{3,31,157},{3,23,37},{8,1,4418},{0,23,1090},{0,23,1090},{0,14,1268},{10,5,4418},{0,14,1268},{15,12,6962},{7,31,3709},{4,31,1},
{0,30,353},{15,12,6962},{13,22,6962},{0,30,353},{0,24,6970},{13,22,6962},{0,24,6970},{1,0,985},{1,0,985},{1,0,985},{1,0,985},{0,14,0},{0,14,0},{0,14,0},{0,8,4},{0,6,493},{0,6,493},{4,31,65535},{2,31,41986},{1,31,4257},{0,31,2873},{4,31,65535},{1,31,44950},{0,30,1984},{0,28,18569},{0,31,65535},{0,25,51026},{6,31,11934},{5,31,5125},{4,31,296},{3,29,706},{13,4,20642},
{0,31,11234},{0,29,1634},{0,22,10422},{15,11,20642},{0,22,10422},{2,31,2350},{2,31,2350},{2,31,2350},{2,26,1450},{0,31,4450},{0,25,949},{0,25,949},{0,16,1096},{0,16,7397},{0,14,3171},{4,31,296},{4,31,296},{4,31,296},{3,25,10},{8,4,4418},{0,25,949},{0,25,949},{0,16,1096},{14,2,4418},{0,16,1096},{14,17,5941},{7,31,3250},{5,31,0},{0,30,128},{14,17,5941},{13,23,5941},{0,30,128},
{0,24,5953},{13,23,5941},{0,24,5953},{2,0,1450},{2,0,1450},{2,0,1450},{2,0,1450},{0,17,0},{0,17,0},{0,17,0},{0,10,1},{0,8,697},{0,8,697},{4,31,65535},{2,31,42898},{1,31,5617},{1,31,3337},{4,31,65535},{1,31,43926},{0,31,1250},{0,28,15865},{0,31,65535},{0,25,48978},{7,31,10938},{5,31,4773},{4,31,360},{3,30,509},{12,9,19021},{1,31,10246},{0,30,1088},{0,23,8945},{14,13,19021},
{0,23,8945},{2,31,3262},{2,31,3262},{2,31,3262},{2,28,1822},{1,31,4682},{0,28,776},{0,28,776},{0,17,925},{0,18,7893},{0,15,3333},{4,31,360},{4,31,360},{4,31,360},{4,25,37},{3,25,4418},{0,28,776},{0,28,776},{0,17,925},{12,6,4418},{0,17,925},{15,15,5101},{8,31,2777},{6,31,9},{0,31,25},{15,15,5101},{11,26,5101},{0,31,25},{0,25,5105},{11,26,5101},{0,25,5105},{2,0,1818},
{2,0,1818},{2,0,1818},{2,0,1818},{0,20,1},{0,20,1},{0,20,1},{0,12,1},{0,9,925},{0,9,925},{4,31,65535},{2,31,44066},{1,31,7233},{1,31,3993},{4,31,65535},{2,31,43110},{0,31,738},{0,28,13417},{0,31,65535},{0,25,47186},{7,31,9978},{6,31,4467},{5,31,452},{4,30,357},{15,1,17485},{2,31,9441},{0,30,704},{0,24,7570},{15,13,17485},{0,24,7570},{3,31,4058},{3,31,4058},{3,31,4058},
{2,29,2315},{1,31,4874},{0,29,610},{0,29,610},{0,18,772},{0,20,8427},{0,16,3497},{5,31,452},{5,31,452},{5,31,452},{4,27,5},{9,6,4418},{0,29,610},{0,29,610},{0,18,772},{14,5,4418},{0,18,772},{15,16,4325},{8,31,2377},{6,31,25},{0,31,9},{15,16,4325},{15,22,4325},{0,31,9},{0,25,4337},{15,22,4325},{0,25,4337},{2,0,2314},{2,0,2314},{2,0,2314},{2,0,2314},{0,22,1},
{0,22,1},{0,22,1},{0,13,4},{0,10,1189},{0,10,1189},{5,31,65535},{3,31,45090},{1,31,9105},{1,31,4905},{4,31,65535},{2,31,42326},{0,31,482},{0,28,11225},{0,31,65535},{0,26,45590},{7,31,9274},{6,31,4179},{5,31,612},{4,30,245},{14,6,16034},{3,31,8633},{0,31,482},{0,24,6242},{15,14,16034},{0,24,6242},{3,31,5066},{3,31,5066},{3,31,5066},{2,31,2939},{1,31,5322},{0,31,482},{0,31,482},
{0,19,637},{0,20,8939},{0,17,3725},{5,31,612},{5,31,612},{5,31,612},{5,27,37},{10,5,4418},{0,31,482},{0,31,482},{0,19,637},{12,9,4418},{0,19,637},{13,24,3613},{9,31,1973},{7,31,9},{2,31,1},{13,24,3613},{15,23,3613},{2,31,1},{0,26,3617},{15,23,3613},{0,26,3617},{2,0,2938},{2,0,2938},{2,0,2938},{2,0,2938},{0,25,1},{0,25,1},{0,25,1},{0,15,0},{0,11,1489},
{0,11,1489},{5,31,65535},{3,31,46530},{1,31,11517},{1,31,6237},{4,31,65535},{2,31,41750},{0,31,500},{0,29,8976},{0,31,65535},{0,26,43934},{8,31,8225},{7,31,3853},{6,31,680},{5,30,109},{11,18,14504},{4,31,7667},{0,31,500},{0,25,4979},{10,21,14504},{0,25,4979},{3,31,6506},{3,31,6506},{3,31,6506},{3,31,3701},{2,31,6019},{0,31,500},{0,31,500},{0,20,520},{0,22,9629},{0,18,4035},{6,31,680},
{6,31,680},{6,31,680},{5,29,10},{10,8,4418},{0,31,500},{0,31,500},{0,20,520},{11,12,4418},{0,20,520},{15,19,2888},{10,31,1537},{8,31,16},{3,31,4},{15,19,2888},{13,26,2888},{3,31,4},{0,26,2906},{13,26,2888},{0,26,2906},{3,0,3697},{3,0,3697},{3,0,3697},{3,0,3697},{0,28,1},{0,28,1},{0,28,1},{0,17,4},{0,11,1930},{0,11,1930},{5,31,65535},{3,31,48082},{1,31,13933},
{1,31,7693},{4,31,65535},{2,31,41510},{0,31,788},{0,29,7120},{0,31,65535},{0,26,42734},{8,31,7409},{7,31,3693},{7,31,884},{6,30,116},{13,13,13235},{4,31,6899},{1,31,628},{0,25,3987},{15,16,13235},{0,25,3987},{4,31,7686},{4,31,7686},{4,31,7686},{3,31,4437},{2,31,6659},{0,31,788},{0,31,788},{0,21,421},{0,23,10286},{0,20,4305},{7,31,884},{7,31,884},{7,31,884},{6,29,37},{9,14,4418},
{1,31,628},{1,31,628},{0,21,421},{14,10,4418},{0,21,421},{15,20,2312},{10,31,1217},{8,31,16},{4,31,9},{15,20,2312},{12,28,2312},{4,31,9},{0,27,2314},{12,28,2312},{0,27,2314},{3,0,4337},{3,0,4337},{3,0,4337},{3,0,4337},{0,30,1},{0,30,1},{0,30,1},{0,18,1},{0,13,2329},{0,13,2329},{5,31,65535},{3,31,49890},{2,31,16310},{1,31,9405},{4,31,65535},{2,31,41526},{0,31,1332},
{0,29,5520},{0,31,65535},{0,26,41790},{8,31,6849},{8,31,3601},{7,31,980},{6,31,5},{15,8,12051},{5,31,6275},{2,31,801},{0,26,3066},{11,22,12051},{0,26,3066},{4,31,9062},{4,31,9062},{4,31,9062},{3,31,5429},{2,31,7555},{1,31,1172},{1,31,1172},{0,23,325},{0,23,11118},{0,20,4625},{7,31,980},{7,31,980},{7,31,980},{6,31,5},{11,10,4418},{2,31,801},{2,31,801},{0,23,325},{5,23,4418},
{0,23,325},{13,28,1800},{11,31,949},{9,31,4},{6,31,1},{13,28,1800},{11,30,1800},{6,31,1},{0,27,1818},{11,30,1800},{0,27,1818},{3,0,5105},{3,0,5105},{3,0,5105},{3,0,5105},{0,31,36},{0,31,36},{0,31,36},{0,20,4},{0,15,2741},{0,15,2741},{5,31,65535},{3,31,51954},{2,31,18790},{1,31,11373},{5,31,65535},{2,31,41798},{0,31,2132},{0,29,4176},{0,31,65535},{0,27,41092},{9,31,6153},
{8,31,3297},{7,31,1332},{7,31,37},{14,13,10952},{5,31,5763},{3,31,965},{0,27,2291},{11,23,10952},{0,27,2291},{4,31,10694},{4,31,10694},{4,31,10694},{4,31,6566},{3,31,8619},{1,31,1716},{1,31,1716},{0,24,221},{0,26,11876},{0,22,4989},{7,31,1332},{7,31,1332},{7,31,1332},{7,31,37},{12,9,4418},{3,31,965},{3,31,965},{0,24,221},{14,13,4418},{0,24,221},{14,26,1352},{11,31,725},{10,31,0},
{7,31,1},{14,26,1352},{15,26,1352},{7,31,1},{0,28,1360},{15,26,1352},{0,28,1360},{3,0,6001},{3,0,6001},{3,0,6001},{3,0,6001},{0,31,196},{0,31,196},{0,31,196},{0,21,1},{0,16,3130},{0,16,3130},{5,31,65535},{3,31,54582},{2,31,21886},{1,31,13893},{5,31,65535},{2,31,42410},{0,31,3338},{0,30,2841},{0,31,65535},{0,27,40390},{9,31,5649},{9,31,3249},{8,31,1325},{7,31,109},{14,15,9818},
{6,31,5258},{4,31,1108},{0,27,1589},{12,23,9818},{0,27,1589},{5,31,12376},{5,31,12376},{5,31,12376},{4,31,7844},{3,31,9861},{1,31,2634},{1,31,2634},{0,25,136},{0,28,12696},{0,23,5429},{8,31,1325},{8,31,1325},{8,31,1325},{7,31,109},{15,2,4418},{4,31,1108},{4,31,1108},{0,25,136},{13,16,4418},{0,25,136},{15,24,925},{12,31,505},{11,31,1},{8,31,1},{15,24,925},{15,27,925},{8,31,1},
{0,28,937},{15,27,925},{0,28,937},{4,0,7060},{4,0,7060},{4,0,7060},{4,0,7060},{1,31,425},{1,31,425},{1,31,425},{0,23,0},{0,17,3665},{0,17,3665},{5,31,65535},{3,31,57190},{2,31,24910},{1,31,16405},{5,31,65535},{2,31,43226},{0,31,4682},{0,30,1833},{0,31,65535},{0,27,40038},{10,31,5202},{9,31,3073},{8,31,1565},{8,31,277},{13,20,8901},{7,31,4814},{5,31,1300},{0,28,1021},{13,23,8902},
{0,28,1021},{5,31,14136},{5,31,14136},{5,31,14136},{4,31,9252},{3,31,11237},{2,31,3590},{2,31,3590},{0,26,85},{0,29,13491},{0,23,5925},{8,31,1565},{8,31,1565},{8,31,1565},{8,31,277},{11,18,4418},{5,31,1300},{5,31,1300},{0,26,85},{10,21,4418},{0,26,85},{15,25,617},{13,31,365},{12,31,16},{9,31,9},{15,25,617},{13,30,613},{9,31,9},{0,29,617},{13,30,613},{0,29,617},{4,0,7956},
{4,0,7956},{4,0,7956},{4,0,7956},{1,31,697},{1,31,697},{1,31,697},{0,25,4},{0,18,4181},{0,18,4181},{5,31,65535},{3,31,60054},{2,31,28190},{2,31,18895},{5,31,65535},{2,31,44298},{1,31,6090},{0,30,1081},{0,31,65535},{0,27,39942},{10,31,4850},{10,31,3107},{9,31,1709},{8,31,325},{13,22,8069},{7,31,4574},{6,31,1553},{0,29,602},{12,25,8069},{0,29,602},{6,31,16067},{6,31,16067},{6,31,16067},
{5,31,10872},{4,31,12824},{2,31,4662},{2,31,4662},{0,27,52},{0,30,14340},{0,25,6449},{9,31,1709},{9,31,1709},{9,31,1709},{8,31,325},{13,14,4418},{6,31,1553},{6,31,1553},{0,27,52},{8,25,4418},{0,27,52},{15,27,365},{13,31,205},{12,31,16},{11,31,4},{15,27,365},{13,31,365},{11,31,4},{0,29,377},{13,31,365},{0,29,377},{4,0,8980},{4,0,8980},{4,0,8980},{4,0,8980},{1,31,1097},
{1,31,1097},{1,31,1097},{0,26,1},{0,20,4682},{0,20,4682},{6,31,65535},{4,31,58981},{2,31,29926},{2,31,19751},{5,31,65535},{3,31,43402},{1,31,6910},{0,30,765},{0,31,65535},{0,28,34909},{11,31,4502},{10,31,3011},{9,31,2045},{9,31,557},{15,17,7322},{8,31,4242},{7,31,1781},{0,29,314},{12,26,7322},{0,29,314},{6,31,16739},{6,31,16739},{6,31,16739},{5,31,11492},{4,31,13636},{3,31,5586},{3,31,5586},
{0,28,65},{0,31,14139},{0,26,6041},{9,31,2045},{9,31,2045},{9,31,2045},{9,31,557},{14,13,4418},{7,31,1781},{7,31,1781},{0,28,29},{11,23,4418},{0,28,29},{15,28,181},{14,31,117},{13,31,4},{12,31,0},{15,28,181},{15,29,181},{12,31,0},{0,30,185},{15,29,181},{0,30,185},{4,0,9376},{4,0,9376},{4,0,9376},{4,0,9376},{2,31,1405},{2,31,1405},{2,31,1405},{0,28,40},{0,21,4520},
{0,21,4520},{6,31,65535},{4,31,57316},{3,31,30345},{3,31,20808},{6,31,65535},{3,31,41449},{2,31,8321},{1,31,301},{0,31,65535},{0,28,28330},{11,31,4232},{11,31,3093},{10,31,2248},{9,31,809},{15,19,6584},{9,31,3992},{7,31,2105},{0,30,77},{13,26,6584},{0,30,77},{7,31,17380},{7,31,17380},{7,31,17380},{6,31,12161},{5,31,14315},{3,31,6405},{3,31,6405},{1,29,53},{0,31,13860},{0,28,5286},{10,31,2248},
{10,31,2248},{10,31,2248},{9,31,809},{14,16,4418},{7,31,2105},{7,31,2105},{0,30,13},{15,20,4418},{0,30,13},{15,29,52},{14,31,36},{14,31,0},{13,31,9},{15,29,52},{15,30,50},{13,31,9},{0,30,68},{15,30,50},{0,30,68},{5,0,9250},{5,0,9250},{5,0,9250},{5,0,9250},{2,31,1549},{2,31,1549},{2,31,1549},{1,28,2},{0,23,4114},{0,23,4114},{6,31,65535},{5,31,55908},{4,31,31583},
{3,31,21256},{6,31,65535},{4,31,39740},{2,31,9073},{1,31,285},{0,31,65535},{0,29,23356},{12,31,4011},{11,31,3125},{11,31,2500},{10,31,1037},{13,27,6019},{10,31,3738},{8,31,2340},{0,31,4},{13,27,6019},{0,31,4},{7,31,17796},{7,31,17796},{7,31,17796},{6,31,12625},{6,31,14996},{4,31,7139},{4,31,7139},{1,30,86},{0,31,14020},{0,29,4652},{11,31,2500},{11,31,2500},{11,31,2500},{10,31,1037},{13,22,4418},
{8,31,2340},{8,31,2340},{0,31,4},{12,25,4418},{0,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{15,31,4},{0,31,4},{15,31,4},{0,31,4},{6,0,9376},{6,0,9376},{6,0,9376},{6,0,9376},{3,31,1765},{3,31,1765},{3,31,1765},{1,30,50},{0,25,3877},{0,25,3877},{7,31,65535},{5,31,53236},{4,31,30487},{4,31,21367},{6,31,65535},{4,31,37332},{3,31,9385},
{2,31,36},{0,31,65535},{0,29,18680},{12,31,3443},{12,31,2843},{11,31,2248},{10,31,997},{14,25,5163},{10,31,3218},{9,31,2120},{1,31,4},{12,29,5163},{1,31,4},{7,31,17504},{7,31,17504},{7,31,17504},{7,31,12569},{6,31,14328},{4,31,7227},{4,31,7227},{2,31,20},{0,31,13376},{0,29,3944},{11,31,2248},{11,31,2248},{11,31,2248},{10,31,997},{15,17,3872},{9,31,2120},{9,31,2120},{1,31,4},{12,26,3872},
{1,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{6,0,9248},{6,0,9248},{6,0,9248},{6,0,9248},{3,31,2005},{3,31,2005},{3,31,2005},{2,30,5},{0,27,3545},{0,27,3545},{7,31,65535},{6,31,50785},{4,31,29687},{4,31,20567},{7,31,65535},{4,31,35412},{3,31,8985},{2,31,196},{1,31,65535},{0,29,14712},{12,31,2883},
{12,31,2283},{12,31,1922},{11,31,821},{13,29,4267},{11,31,2694},{10,31,1745},{3,31,4},{14,27,4267},{3,31,4},{8,31,16610},{8,31,16610},{8,31,16610},{7,31,12185},{6,31,13528},{5,31,6915},{5,31,6915},{2,31,52},{1,31,12556},{0,30,3314},{12,31,1922},{12,31,1922},{12,31,1922},{11,31,821},{12,28,3200},{10,31,1745},{10,31,1745},{3,31,4},{11,28,3200},{3,31,4},{15,31,0},{15,31,0},{15,31,0},
{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{6,0,9376},{6,0,9376},{6,0,9376},{6,0,9376},{4,31,2250},{4,31,2250},{4,31,2250},{2,31,52},{0,28,3170},{0,28,3170},{7,31,65535},{6,31,47239},{5,31,28065},{5,31,20409},{7,31,65535},{5,31,32574},{4,31,8965},{3,31,54},{1,31,65206},{0,30,10964},{13,31,2326},{12,31,1806},{12,31,1445},{11,31,650},{13,30,3361},
{11,31,2091},{10,31,1322},{4,31,0},{12,30,3361},{4,31,0},{8,31,15584},{8,31,15584},{8,31,15584},{7,31,12059},{7,31,12522},{6,31,6811},{6,31,6811},{3,31,50},{1,31,11710},{0,31,2834},{12,31,1445},{12,31,1445},{12,31,1445},{11,31,650},{14,23,2521},{10,31,1322},{10,31,1322},{4,31,0},{15,24,2521},{4,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},
{0,31,0},{15,31,0},{0,31,0},{7,0,9250},{7,0,9250},{7,0,9250},{7,0,9250},{5,31,2600},{5,31,2600},{5,31,2600},{3,31,50},{0,31,2834},{0,31,2834},{8,31,65535},{6,31,44903},{5,31,27361},{5,31,19705},{7,31,64494},{5,31,30846},{4,31,8677},{3,31,470},{2,31,60777},{0,30,8308},{13,31,1782},{13,31,1510},{12,31,1157},{12,31,557},{13,31,2646},{11,31,1691},{11,31,1066},{5,31,4},{15,27,2646},
{5,31,4},{8,31,14944},{8,31,14944},{8,31,14944},{8,31,11696},{7,31,11850},{6,31,6555},{6,31,6555},{4,31,164},{2,31,11097},{0,31,2610},{12,31,1157},{12,31,1157},{12,31,1157},{12,31,557},{15,21,1985},{11,31,1066},{11,31,1066},{5,31,4},{15,25,1985},{5,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{7,0,9410},
{7,0,9410},{7,0,9410},{7,0,9410},{5,31,2792},{5,31,2792},{5,31,2792},{4,31,164},{0,31,2610},{0,31,2610},{8,31,63584},{7,31,42019},{6,31,25930},{5,31,19769},{8,31,60273},{6,31,28860},{5,31,8761},{4,31,276},{3,31,56253},{0,30,6420},{13,31,1366},{13,31,1094},{13,31,925},{12,31,397},{15,25,2018},{12,31,1298},{11,31,794},{7,31,4},{13,30,2017},{7,31,4},{9,31,14244},{9,31,14244},{9,31,14244},
{8,31,11312},{8,31,11249},{7,31,6499},{7,31,6499},{4,31,260},{3,31,10457},{0,31,2642},{13,31,925},{13,31,925},{13,31,925},{12,31,397},{15,22,1513},{11,31,794},{11,31,794},{7,31,4},{14,27,1513},{7,31,4},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{8,0,9376},{8,0,9376},{8,0,9376},{8,0,9376},{6,31,3074},
{6,31,3074},{6,31,3074},{4,31,260},{0,31,2642},{0,31,2642},{8,31,58848},{7,31,39683},{6,31,25130},{6,31,19007},{8,31,54849},{6,31,27132},{5,31,8569},{4,31,756},{4,31,51302},{0,31,5046},{13,31,1078},{13,31,806},{13,31,637},{12,31,365},{15,26,1473},{12,31,978},{12,31,617},{8,31,9},{14,29,1473},{8,31,9},{9,31,13604},{9,31,13604},{9,31,13604},{8,31,11184},{8,31,10433},{7,31,6339},{7,31,6339},
{5,31,424},{4,31,9713},{0,31,2930},{13,31,637},{13,31,637},{13,31,637},{12,31,365},{14,27,1105},{12,31,617},{12,31,617},{8,31,9},{13,29,1105},{8,31,9},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{15,31,0},{0,31,0},{15,31,0},{0,31,0},{8,0,9248},{8,0,9248},{8,0,9248},{8,0,9248},{6,31,3330},{6,31,3330},{6,31,3330},{5,31,424},{0,31,2930},
{0,31,2930},
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_transcoder.cpp | // basisu_transcoder.cpp
// Copyright (C) 2019-2021 Binomial LLC. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
#include "basisu_transcoder.h"
#include <limits.h>
#include "basisu_containers_impl.h"
#ifndef BASISD_IS_BIG_ENDIAN
// TODO: This doesn't work on OSX. How can this be so difficult?
//#if defined(__BIG_ENDIAN__) || defined(_BIG_ENDIAN) || defined(BIG_ENDIAN)
// #define BASISD_IS_BIG_ENDIAN (1)
//#else
#define BASISD_IS_BIG_ENDIAN (0)
//#endif
#endif
#ifndef BASISD_USE_UNALIGNED_WORD_READS
#ifdef __EMSCRIPTEN__
// Can't use unaligned loads/stores with WebAssembly.
#define BASISD_USE_UNALIGNED_WORD_READS (0)
#elif defined(_M_AMD64) || defined(_M_IX86) || defined(__i386__) || defined(__x86_64__)
#define BASISD_USE_UNALIGNED_WORD_READS (1)
#else
#define BASISD_USE_UNALIGNED_WORD_READS (0)
#endif
#endif
// Using unaligned loads and stores causes errors when using UBSan. Jam it off.
#if defined(__has_feature)
#if __has_feature(undefined_behavior_sanitizer)
#undef BASISD_USE_UNALIGNED_WORD_READS
#define BASISD_USE_UNALIGNED_WORD_READS 0
#endif
#endif
#define BASISD_SUPPORTED_BASIS_VERSION (0x13)
#ifndef BASISD_SUPPORT_KTX2
#error Must have defined BASISD_SUPPORT_KTX2
#endif
#ifndef BASISD_SUPPORT_KTX2_ZSTD
#error Must have defined BASISD_SUPPORT_KTX2_ZSTD
#endif
// Set to 1 for fuzz testing. This will disable all CRC16 checks on headers and compressed data.
#ifndef BASISU_NO_HEADER_OR_DATA_CRC16_CHECKS
#define BASISU_NO_HEADER_OR_DATA_CRC16_CHECKS 0
#endif
#ifndef BASISD_SUPPORT_DXT1
#define BASISD_SUPPORT_DXT1 1
#endif
#ifndef BASISD_SUPPORT_DXT5A
#define BASISD_SUPPORT_DXT5A 1
#endif
// Disable all BC7 transcoders if necessary (useful when cross compiling to Javascript)
#if defined(BASISD_SUPPORT_BC7) && !BASISD_SUPPORT_BC7
#ifndef BASISD_SUPPORT_BC7_MODE5
#define BASISD_SUPPORT_BC7_MODE5 0
#endif
#endif // !BASISD_SUPPORT_BC7
// BC7 mode 5 supports both opaque and opaque+alpha textures, and uses less memory BC1.
#ifndef BASISD_SUPPORT_BC7_MODE5
#define BASISD_SUPPORT_BC7_MODE5 1
#endif
#ifndef BASISD_SUPPORT_PVRTC1
#define BASISD_SUPPORT_PVRTC1 1
#endif
#ifndef BASISD_SUPPORT_ETC2_EAC_A8
#define BASISD_SUPPORT_ETC2_EAC_A8 1
#endif
// Set BASISD_SUPPORT_UASTC to 0 to completely disable support for transcoding UASTC files.
#ifndef BASISD_SUPPORT_UASTC
#define BASISD_SUPPORT_UASTC 1
#endif
#ifndef BASISD_SUPPORT_ASTC
#define BASISD_SUPPORT_ASTC 1
#endif
// Note that if BASISD_SUPPORT_ATC is enabled, BASISD_SUPPORT_DXT5A should also be enabled for alpha support.
#ifndef BASISD_SUPPORT_ATC
#define BASISD_SUPPORT_ATC 1
#endif
// Support for ETC2 EAC R11 and ETC2 EAC RG11
#ifndef BASISD_SUPPORT_ETC2_EAC_RG11
#define BASISD_SUPPORT_ETC2_EAC_RG11 1
#endif
// If BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY is 1, opaque blocks will be transcoded to ASTC at slightly higher quality (higher than BC1), but the transcoder tables will be 2x as large.
// This impacts grayscale and grayscale+alpha textures the most.
#ifndef BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
#ifdef __EMSCRIPTEN__
// Let's assume size matters more than quality when compiling with emscripten.
#define BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY 0
#else
// Compiling native, so an extra 64K lookup table is probably acceptable.
#define BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY 1
#endif
#endif
#ifndef BASISD_SUPPORT_FXT1
#define BASISD_SUPPORT_FXT1 1
#endif
#ifndef BASISD_SUPPORT_PVRTC2
#define BASISD_SUPPORT_PVRTC2 1
#endif
#if BASISD_SUPPORT_PVRTC2
#if !BASISD_SUPPORT_ATC
#error BASISD_SUPPORT_ATC must be 1 if BASISD_SUPPORT_PVRTC2 is 1
#endif
#endif
#if BASISD_SUPPORT_ATC
#if !BASISD_SUPPORT_DXT5A
#error BASISD_SUPPORT_DXT5A must be 1 if BASISD_SUPPORT_ATC is 1
#endif
#endif
#define BASISD_WRITE_NEW_BC7_MODE5_TABLES 0
#define BASISD_WRITE_NEW_DXT1_TABLES 0
#define BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES 0
#define BASISD_WRITE_NEW_ASTC_TABLES 0
#define BASISD_WRITE_NEW_ATC_TABLES 0
#define BASISD_WRITE_NEW_ETC2_EAC_R11_TABLES 0
#ifndef BASISD_ENABLE_DEBUG_FLAGS
#define BASISD_ENABLE_DEBUG_FLAGS 0
#endif
// If KTX2 support is enabled, we may need Zstd for decompression of supercompressed UASTC files. Include this header.
#if BASISD_SUPPORT_KTX2
// If BASISD_SUPPORT_KTX2_ZSTD is 0, UASTC files compressed with Zstd cannot be loaded.
#if BASISD_SUPPORT_KTX2_ZSTD
// We only use two Zstd API's: ZSTD_decompress() and ZSTD_isError()
#include "../zstd/zstd.h"
#endif
#endif
namespace basisu
{
bool g_debug_printf;
void enable_debug_printf(bool enabled)
{
g_debug_printf = enabled;
}
void debug_printf(const char* pFmt, ...)
{
#if BASISU_FORCE_DEVEL_MESSAGES
g_debug_printf = true;
#endif
if (g_debug_printf)
{
va_list args;
va_start(args, pFmt);
vprintf(pFmt, args);
va_end(args);
}
}
} // namespace basisu
namespace basist
{
#if BASISD_ENABLE_DEBUG_FLAGS
static uint32_t g_debug_flags = 0;
#endif
uint32_t get_debug_flags()
{
#if BASISD_ENABLE_DEBUG_FLAGS
return g_debug_flags;
#else
return 0;
#endif
}
void set_debug_flags(uint32_t f)
{
BASISU_NOTE_UNUSED(f);
#if BASISD_ENABLE_DEBUG_FLAGS
g_debug_flags = f;
#endif
}
inline uint16_t byteswap_uint16(uint16_t v)
{
return static_cast<uint16_t>((v >> 8) | (v << 8));
}
static inline int32_t clampi(int32_t value, int32_t low, int32_t high) { if (value < low) value = low; else if (value > high) value = high; return value; }
static inline float clampf(float value, float low, float high) { if (value < low) value = low; else if (value > high) value = high; return value; }
static inline float saturate(float value) { return clampf(value, 0, 1.0f); }
static inline uint8_t mul_8(uint32_t v, uint32_t q) { v = v * q + 128; return (uint8_t)((v + (v >> 8)) >> 8); }
uint16_t crc16(const void* r, size_t size, uint16_t crc)
{
crc = ~crc;
const uint8_t* p = static_cast<const uint8_t*>(r);
for (; size; --size)
{
const uint16_t q = *p++ ^ (crc >> 8);
uint16_t k = (q >> 4) ^ q;
crc = (((crc << 8) ^ k) ^ (k << 5)) ^ (k << 12);
}
return static_cast<uint16_t>(~crc);
}
enum etc_constants
{
cETC1BytesPerBlock = 8U,
cETC1SelectorBits = 2U,
cETC1SelectorValues = 1U << cETC1SelectorBits,
cETC1SelectorMask = cETC1SelectorValues - 1U,
cETC1BlockShift = 2U,
cETC1BlockSize = 1U << cETC1BlockShift,
cETC1LSBSelectorIndicesBitOffset = 0,
cETC1MSBSelectorIndicesBitOffset = 16,
cETC1FlipBitOffset = 32,
cETC1DiffBitOffset = 33,
cETC1IntenModifierNumBits = 3,
cETC1IntenModifierValues = 1 << cETC1IntenModifierNumBits,
cETC1RightIntenModifierTableBitOffset = 34,
cETC1LeftIntenModifierTableBitOffset = 37,
// Base+Delta encoding (5 bit bases, 3 bit delta)
cETC1BaseColorCompNumBits = 5,
cETC1BaseColorCompMax = 1 << cETC1BaseColorCompNumBits,
cETC1DeltaColorCompNumBits = 3,
cETC1DeltaColorComp = 1 << cETC1DeltaColorCompNumBits,
cETC1DeltaColorCompMax = 1 << cETC1DeltaColorCompNumBits,
cETC1BaseColor5RBitOffset = 59,
cETC1BaseColor5GBitOffset = 51,
cETC1BaseColor5BBitOffset = 43,
cETC1DeltaColor3RBitOffset = 56,
cETC1DeltaColor3GBitOffset = 48,
cETC1DeltaColor3BBitOffset = 40,
// Absolute (non-delta) encoding (two 4-bit per component bases)
cETC1AbsColorCompNumBits = 4,
cETC1AbsColorCompMax = 1 << cETC1AbsColorCompNumBits,
cETC1AbsColor4R1BitOffset = 60,
cETC1AbsColor4G1BitOffset = 52,
cETC1AbsColor4B1BitOffset = 44,
cETC1AbsColor4R2BitOffset = 56,
cETC1AbsColor4G2BitOffset = 48,
cETC1AbsColor4B2BitOffset = 40,
cETC1ColorDeltaMin = -4,
cETC1ColorDeltaMax = 3,
// Delta3:
// 0 1 2 3 4 5 6 7
// 000 001 010 011 100 101 110 111
// 0 1 2 3 -4 -3 -2 -1
};
#define DECLARE_ETC1_INTEN_TABLE(name, N) \
static const int name[cETC1IntenModifierValues][cETC1SelectorValues] = \
{ \
{ N * -8, N * -2, N * 2, N * 8 },{ N * -17, N * -5, N * 5, N * 17 },{ N * -29, N * -9, N * 9, N * 29 },{ N * -42, N * -13, N * 13, N * 42 }, \
{ N * -60, N * -18, N * 18, N * 60 },{ N * -80, N * -24, N * 24, N * 80 },{ N * -106, N * -33, N * 33, N * 106 },{ N * -183, N * -47, N * 47, N * 183 } \
};
DECLARE_ETC1_INTEN_TABLE(g_etc1_inten_tables, 1);
DECLARE_ETC1_INTEN_TABLE(g_etc1_inten_tables16, 16);
DECLARE_ETC1_INTEN_TABLE(g_etc1_inten_tables48, 3 * 16);
//const uint8_t g_etc1_to_selector_index[cETC1SelectorValues] = { 2, 3, 1, 0 };
const uint8_t g_selector_index_to_etc1[cETC1SelectorValues] = { 3, 2, 0, 1 };
static const uint8_t g_etc_5_to_8[32] = { 0, 8, 16, 24, 33, 41, 49, 57, 66, 74, 82, 90, 99, 107, 115, 123, 132, 140, 148, 156, 165, 173, 181, 189, 198, 206, 214, 222, 231, 239, 247, 255 };
struct decoder_etc_block
{
// big endian uint64:
// bit ofs: 56 48 40 32 24 16 8 0
// byte ofs: b0, b1, b2, b3, b4, b5, b6, b7
union
{
uint64_t m_uint64;
uint32_t m_uint32[2];
uint8_t m_bytes[8];
struct
{
signed m_dred2 : 3;
uint32_t m_red1 : 5;
signed m_dgreen2 : 3;
uint32_t m_green1 : 5;
signed m_dblue2 : 3;
uint32_t m_blue1 : 5;
uint32_t m_flip : 1;
uint32_t m_diff : 1;
uint32_t m_cw2 : 3;
uint32_t m_cw1 : 3;
uint32_t m_selectors;
} m_differential;
};
inline void clear()
{
assert(sizeof(*this) == 8);
basisu::clear_obj(*this);
}
inline void set_byte_bits(uint32_t ofs, uint32_t num, uint32_t bits)
{
assert((ofs + num) <= 64U);
assert(num && (num < 32U));
assert((ofs >> 3) == ((ofs + num - 1) >> 3));
assert(bits < (1U << num));
const uint32_t byte_ofs = 7 - (ofs >> 3);
const uint32_t byte_bit_ofs = ofs & 7;
const uint32_t mask = (1 << num) - 1;
m_bytes[byte_ofs] &= ~(mask << byte_bit_ofs);
m_bytes[byte_ofs] |= (bits << byte_bit_ofs);
}
inline void set_flip_bit(bool flip)
{
m_bytes[3] &= ~1;
m_bytes[3] |= static_cast<uint8_t>(flip);
}
inline void set_diff_bit(bool diff)
{
m_bytes[3] &= ~2;
m_bytes[3] |= (static_cast<uint32_t>(diff) << 1);
}
// Sets intensity modifier table (0-7) used by subblock subblock_id (0 or 1)
inline void set_inten_table(uint32_t subblock_id, uint32_t t)
{
assert(subblock_id < 2);
assert(t < 8);
const uint32_t ofs = subblock_id ? 2 : 5;
m_bytes[3] &= ~(7 << ofs);
m_bytes[3] |= (t << ofs);
}
// Selector "val" ranges from 0-3 and is a direct index into g_etc1_inten_tables.
inline void set_selector(uint32_t x, uint32_t y, uint32_t val)
{
assert((x | y | val) < 4);
const uint32_t bit_index = x * 4 + y;
uint8_t* p = &m_bytes[7 - (bit_index >> 3)];
const uint32_t byte_bit_ofs = bit_index & 7;
const uint32_t mask = 1 << byte_bit_ofs;
static const uint8_t s_selector_index_to_etc1[4] = { 3, 2, 0, 1 };
const uint32_t etc1_val = s_selector_index_to_etc1[val];
const uint32_t lsb = etc1_val & 1;
const uint32_t msb = etc1_val >> 1;
p[0] &= ~mask;
p[0] |= (lsb << byte_bit_ofs);
p[-2] &= ~mask;
p[-2] |= (msb << byte_bit_ofs);
}
// Returned encoded selector value ranges from 0-3 (this is NOT a direct index into g_etc1_inten_tables, see get_selector())
inline uint32_t get_raw_selector(uint32_t x, uint32_t y) const
{
assert((x | y) < 4);
const uint32_t bit_index = x * 4 + y;
const uint32_t byte_bit_ofs = bit_index & 7;
const uint8_t* p = &m_bytes[7 - (bit_index >> 3)];
const uint32_t lsb = (p[0] >> byte_bit_ofs) & 1;
const uint32_t msb = (p[-2] >> byte_bit_ofs) & 1;
const uint32_t val = lsb | (msb << 1);
return val;
}
// Returned selector value ranges from 0-3 and is a direct index into g_etc1_inten_tables.
inline uint32_t get_selector(uint32_t x, uint32_t y) const
{
static const uint8_t s_etc1_to_selector_index[cETC1SelectorValues] = { 2, 3, 1, 0 };
return s_etc1_to_selector_index[get_raw_selector(x, y)];
}
inline void set_raw_selector_bits(uint32_t bits)
{
m_bytes[4] = static_cast<uint8_t>(bits);
m_bytes[5] = static_cast<uint8_t>(bits >> 8);
m_bytes[6] = static_cast<uint8_t>(bits >> 16);
m_bytes[7] = static_cast<uint8_t>(bits >> 24);
}
inline bool are_all_selectors_the_same() const
{
uint32_t v = *reinterpret_cast<const uint32_t*>(&m_bytes[4]);
if ((v == 0xFFFFFFFF) || (v == 0xFFFF) || (!v) || (v == 0xFFFF0000))
return true;
return false;
}
inline void set_raw_selector_bits(uint8_t byte0, uint8_t byte1, uint8_t byte2, uint8_t byte3)
{
m_bytes[4] = byte0;
m_bytes[5] = byte1;
m_bytes[6] = byte2;
m_bytes[7] = byte3;
}
inline uint32_t get_raw_selector_bits() const
{
return m_bytes[4] | (m_bytes[5] << 8) | (m_bytes[6] << 16) | (m_bytes[7] << 24);
}
inline void set_base4_color(uint32_t idx, uint16_t c)
{
if (idx)
{
set_byte_bits(cETC1AbsColor4R2BitOffset, 4, (c >> 8) & 15);
set_byte_bits(cETC1AbsColor4G2BitOffset, 4, (c >> 4) & 15);
set_byte_bits(cETC1AbsColor4B2BitOffset, 4, c & 15);
}
else
{
set_byte_bits(cETC1AbsColor4R1BitOffset, 4, (c >> 8) & 15);
set_byte_bits(cETC1AbsColor4G1BitOffset, 4, (c >> 4) & 15);
set_byte_bits(cETC1AbsColor4B1BitOffset, 4, c & 15);
}
}
inline void set_base5_color(uint16_t c)
{
set_byte_bits(cETC1BaseColor5RBitOffset, 5, (c >> 10) & 31);
set_byte_bits(cETC1BaseColor5GBitOffset, 5, (c >> 5) & 31);
set_byte_bits(cETC1BaseColor5BBitOffset, 5, c & 31);
}
void set_delta3_color(uint16_t c)
{
set_byte_bits(cETC1DeltaColor3RBitOffset, 3, (c >> 6) & 7);
set_byte_bits(cETC1DeltaColor3GBitOffset, 3, (c >> 3) & 7);
set_byte_bits(cETC1DeltaColor3BBitOffset, 3, c & 7);
}
void set_block_color4(const color32& c0_unscaled, const color32& c1_unscaled)
{
set_diff_bit(false);
set_base4_color(0, pack_color4(c0_unscaled, false));
set_base4_color(1, pack_color4(c1_unscaled, false));
}
void set_block_color5(const color32& c0_unscaled, const color32& c1_unscaled)
{
set_diff_bit(true);
set_base5_color(pack_color5(c0_unscaled, false));
int dr = c1_unscaled.r - c0_unscaled.r;
int dg = c1_unscaled.g - c0_unscaled.g;
int db = c1_unscaled.b - c0_unscaled.b;
set_delta3_color(pack_delta3(dr, dg, db));
}
bool set_block_color5_check(const color32& c0_unscaled, const color32& c1_unscaled)
{
set_diff_bit(true);
set_base5_color(pack_color5(c0_unscaled, false));
int dr = c1_unscaled.r - c0_unscaled.r;
int dg = c1_unscaled.g - c0_unscaled.g;
int db = c1_unscaled.b - c0_unscaled.b;
if (((dr < cETC1ColorDeltaMin) || (dr > cETC1ColorDeltaMax)) ||
((dg < cETC1ColorDeltaMin) || (dg > cETC1ColorDeltaMax)) ||
((db < cETC1ColorDeltaMin) || (db > cETC1ColorDeltaMax)))
return false;
set_delta3_color(pack_delta3(dr, dg, db));
return true;
}
inline uint32_t get_byte_bits(uint32_t ofs, uint32_t num) const
{
assert((ofs + num) <= 64U);
assert(num && (num <= 8U));
assert((ofs >> 3) == ((ofs + num - 1) >> 3));
const uint32_t byte_ofs = 7 - (ofs >> 3);
const uint32_t byte_bit_ofs = ofs & 7;
return (m_bytes[byte_ofs] >> byte_bit_ofs) & ((1 << num) - 1);
}
inline uint16_t get_base5_color() const
{
const uint32_t r = get_byte_bits(cETC1BaseColor5RBitOffset, 5);
const uint32_t g = get_byte_bits(cETC1BaseColor5GBitOffset, 5);
const uint32_t b = get_byte_bits(cETC1BaseColor5BBitOffset, 5);
return static_cast<uint16_t>(b | (g << 5U) | (r << 10U));
}
inline uint16_t get_base4_color(uint32_t idx) const
{
uint32_t r, g, b;
if (idx)
{
r = get_byte_bits(cETC1AbsColor4R2BitOffset, 4);
g = get_byte_bits(cETC1AbsColor4G2BitOffset, 4);
b = get_byte_bits(cETC1AbsColor4B2BitOffset, 4);
}
else
{
r = get_byte_bits(cETC1AbsColor4R1BitOffset, 4);
g = get_byte_bits(cETC1AbsColor4G1BitOffset, 4);
b = get_byte_bits(cETC1AbsColor4B1BitOffset, 4);
}
return static_cast<uint16_t>(b | (g << 4U) | (r << 8U));
}
inline color32 get_base5_color_unscaled() const
{
return color32(m_differential.m_red1, m_differential.m_green1, m_differential.m_blue1, 255);
}
inline bool get_flip_bit() const
{
return (m_bytes[3] & 1) != 0;
}
inline bool get_diff_bit() const
{
return (m_bytes[3] & 2) != 0;
}
inline uint32_t get_inten_table(uint32_t subblock_id) const
{
assert(subblock_id < 2);
const uint32_t ofs = subblock_id ? 2 : 5;
return (m_bytes[3] >> ofs) & 7;
}
inline uint16_t get_delta3_color() const
{
const uint32_t r = get_byte_bits(cETC1DeltaColor3RBitOffset, 3);
const uint32_t g = get_byte_bits(cETC1DeltaColor3GBitOffset, 3);
const uint32_t b = get_byte_bits(cETC1DeltaColor3BBitOffset, 3);
return static_cast<uint16_t>(b | (g << 3U) | (r << 6U));
}
void get_block_colors(color32* pBlock_colors, uint32_t subblock_index) const
{
color32 b;
if (get_diff_bit())
{
if (subblock_index)
unpack_color5(b, get_base5_color(), get_delta3_color(), true, 255);
else
unpack_color5(b, get_base5_color(), true);
}
else
{
b = unpack_color4(get_base4_color(subblock_index), true, 255);
}
const int* pInten_table = g_etc1_inten_tables[get_inten_table(subblock_index)];
pBlock_colors[0].set_noclamp_rgba(clamp255(b.r + pInten_table[0]), clamp255(b.g + pInten_table[0]), clamp255(b.b + pInten_table[0]), 255);
pBlock_colors[1].set_noclamp_rgba(clamp255(b.r + pInten_table[1]), clamp255(b.g + pInten_table[1]), clamp255(b.b + pInten_table[1]), 255);
pBlock_colors[2].set_noclamp_rgba(clamp255(b.r + pInten_table[2]), clamp255(b.g + pInten_table[2]), clamp255(b.b + pInten_table[2]), 255);
pBlock_colors[3].set_noclamp_rgba(clamp255(b.r + pInten_table[3]), clamp255(b.g + pInten_table[3]), clamp255(b.b + pInten_table[3]), 255);
}
static uint16_t pack_color4(const color32& color, bool scaled, uint32_t bias = 127U)
{
return pack_color4(color.r, color.g, color.b, scaled, bias);
}
static uint16_t pack_color4(uint32_t r, uint32_t g, uint32_t b, bool scaled, uint32_t bias = 127U)
{
if (scaled)
{
r = (r * 15U + bias) / 255U;
g = (g * 15U + bias) / 255U;
b = (b * 15U + bias) / 255U;
}
r = basisu::minimum(r, 15U);
g = basisu::minimum(g, 15U);
b = basisu::minimum(b, 15U);
return static_cast<uint16_t>(b | (g << 4U) | (r << 8U));
}
static uint16_t pack_color5(const color32& color, bool scaled, uint32_t bias = 127U)
{
return pack_color5(color.r, color.g, color.b, scaled, bias);
}
static uint16_t pack_color5(uint32_t r, uint32_t g, uint32_t b, bool scaled, uint32_t bias = 127U)
{
if (scaled)
{
r = (r * 31U + bias) / 255U;
g = (g * 31U + bias) / 255U;
b = (b * 31U + bias) / 255U;
}
r = basisu::minimum(r, 31U);
g = basisu::minimum(g, 31U);
b = basisu::minimum(b, 31U);
return static_cast<uint16_t>(b | (g << 5U) | (r << 10U));
}
uint16_t pack_delta3(const color32& color)
{
return pack_delta3(color.r, color.g, color.b);
}
uint16_t pack_delta3(int r, int g, int b)
{
assert((r >= cETC1ColorDeltaMin) && (r <= cETC1ColorDeltaMax));
assert((g >= cETC1ColorDeltaMin) && (g <= cETC1ColorDeltaMax));
assert((b >= cETC1ColorDeltaMin) && (b <= cETC1ColorDeltaMax));
if (r < 0) r += 8;
if (g < 0) g += 8;
if (b < 0) b += 8;
return static_cast<uint16_t>(b | (g << 3) | (r << 6));
}
static void unpack_delta3(int& r, int& g, int& b, uint16_t packed_delta3)
{
r = (packed_delta3 >> 6) & 7;
g = (packed_delta3 >> 3) & 7;
b = packed_delta3 & 7;
if (r >= 4) r -= 8;
if (g >= 4) g -= 8;
if (b >= 4) b -= 8;
}
static color32 unpack_color5(uint16_t packed_color5, bool scaled, uint32_t alpha)
{
uint32_t b = packed_color5 & 31U;
uint32_t g = (packed_color5 >> 5U) & 31U;
uint32_t r = (packed_color5 >> 10U) & 31U;
if (scaled)
{
b = (b << 3U) | (b >> 2U);
g = (g << 3U) | (g >> 2U);
r = (r << 3U) | (r >> 2U);
}
assert(alpha <= 255);
return color32(cNoClamp, r, g, b, alpha);
}
static void unpack_color5(uint32_t& r, uint32_t& g, uint32_t& b, uint16_t packed_color5, bool scaled)
{
color32 c(unpack_color5(packed_color5, scaled, 0));
r = c.r;
g = c.g;
b = c.b;
}
static void unpack_color5(color32& result, uint16_t packed_color5, bool scaled)
{
result = unpack_color5(packed_color5, scaled, 255);
}
static bool unpack_color5(color32& result, uint16_t packed_color5, uint16_t packed_delta3, bool scaled, uint32_t alpha)
{
int dr, dg, db;
unpack_delta3(dr, dg, db, packed_delta3);
int r = ((packed_color5 >> 10U) & 31U) + dr;
int g = ((packed_color5 >> 5U) & 31U) + dg;
int b = (packed_color5 & 31U) + db;
bool success = true;
if (static_cast<uint32_t>(r | g | b) > 31U)
{
success = false;
r = basisu::clamp<int>(r, 0, 31);
g = basisu::clamp<int>(g, 0, 31);
b = basisu::clamp<int>(b, 0, 31);
}
if (scaled)
{
b = (b << 3U) | (b >> 2U);
g = (g << 3U) | (g >> 2U);
r = (r << 3U) | (r >> 2U);
}
result.set_noclamp_rgba(r, g, b, basisu::minimum(alpha, 255U));
return success;
}
static color32 unpack_color4(uint16_t packed_color4, bool scaled, uint32_t alpha)
{
uint32_t b = packed_color4 & 15U;
uint32_t g = (packed_color4 >> 4U) & 15U;
uint32_t r = (packed_color4 >> 8U) & 15U;
if (scaled)
{
b = (b << 4U) | b;
g = (g << 4U) | g;
r = (r << 4U) | r;
}
return color32(cNoClamp, r, g, b, basisu::minimum(alpha, 255U));
}
static void unpack_color4(uint32_t& r, uint32_t& g, uint32_t& b, uint16_t packed_color4, bool scaled)
{
color32 c(unpack_color4(packed_color4, scaled, 0));
r = c.r;
g = c.g;
b = c.b;
}
static void get_diff_subblock_colors(color32* pDst, uint16_t packed_color5, uint32_t table_idx)
{
assert(table_idx < cETC1IntenModifierValues);
const int* pInten_modifer_table = &g_etc1_inten_tables[table_idx][0];
uint32_t r, g, b;
unpack_color5(r, g, b, packed_color5, true);
const int ir = static_cast<int>(r), ig = static_cast<int>(g), ib = static_cast<int>(b);
const int y0 = pInten_modifer_table[0];
pDst[0].set(clamp255(ir + y0), clamp255(ig + y0), clamp255(ib + y0), 255);
const int y1 = pInten_modifer_table[1];
pDst[1].set(clamp255(ir + y1), clamp255(ig + y1), clamp255(ib + y1), 255);
const int y2 = pInten_modifer_table[2];
pDst[2].set(clamp255(ir + y2), clamp255(ig + y2), clamp255(ib + y2), 255);
const int y3 = pInten_modifer_table[3];
pDst[3].set(clamp255(ir + y3), clamp255(ig + y3), clamp255(ib + y3), 255);
}
static int clamp255(int x)
{
if (x & 0xFFFFFF00)
{
if (x < 0)
x = 0;
else if (x > 255)
x = 255;
}
return x;
}
static void get_block_colors5(color32* pBlock_colors, const color32& base_color5, uint32_t inten_table)
{
color32 b(base_color5);
b.r = (b.r << 3) | (b.r >> 2);
b.g = (b.g << 3) | (b.g >> 2);
b.b = (b.b << 3) | (b.b >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
pBlock_colors[0].set(clamp255(b.r + pInten_table[0]), clamp255(b.g + pInten_table[0]), clamp255(b.b + pInten_table[0]), 255);
pBlock_colors[1].set(clamp255(b.r + pInten_table[1]), clamp255(b.g + pInten_table[1]), clamp255(b.b + pInten_table[1]), 255);
pBlock_colors[2].set(clamp255(b.r + pInten_table[2]), clamp255(b.g + pInten_table[2]), clamp255(b.b + pInten_table[2]), 255);
pBlock_colors[3].set(clamp255(b.r + pInten_table[3]), clamp255(b.g + pInten_table[3]), clamp255(b.b + pInten_table[3]), 255);
}
static void get_block_color5(const color32& base_color5, uint32_t inten_table, uint32_t index, uint32_t& r, uint32_t &g, uint32_t &b)
{
assert(index < 4);
uint32_t br = (base_color5.r << 3) | (base_color5.r >> 2);
uint32_t bg = (base_color5.g << 3) | (base_color5.g >> 2);
uint32_t bb = (base_color5.b << 3) | (base_color5.b >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
r = clamp255(br + pInten_table[index]);
g = clamp255(bg + pInten_table[index]);
b = clamp255(bb + pInten_table[index]);
}
static void get_block_color5_r(const color32& base_color5, uint32_t inten_table, uint32_t index, uint32_t &r)
{
assert(index < 4);
uint32_t br = (base_color5.r << 3) | (base_color5.r >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
r = clamp255(br + pInten_table[index]);
}
static void get_block_colors5_g(int* pBlock_colors, const color32& base_color5, uint32_t inten_table)
{
const int g = (base_color5.g << 3) | (base_color5.g >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
pBlock_colors[0] = clamp255(g + pInten_table[0]);
pBlock_colors[1] = clamp255(g + pInten_table[1]);
pBlock_colors[2] = clamp255(g + pInten_table[2]);
pBlock_colors[3] = clamp255(g + pInten_table[3]);
}
static void get_block_colors5_bounds(color32* pBlock_colors, const color32& base_color5, uint32_t inten_table, uint32_t l = 0, uint32_t h = 3)
{
color32 b(base_color5);
b.r = (b.r << 3) | (b.r >> 2);
b.g = (b.g << 3) | (b.g >> 2);
b.b = (b.b << 3) | (b.b >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
pBlock_colors[0].set(clamp255(b.r + pInten_table[l]), clamp255(b.g + pInten_table[l]), clamp255(b.b + pInten_table[l]), 255);
pBlock_colors[1].set(clamp255(b.r + pInten_table[h]), clamp255(b.g + pInten_table[h]), clamp255(b.b + pInten_table[h]), 255);
}
static void get_block_colors5_bounds_g(uint32_t* pBlock_colors, const color32& base_color5, uint32_t inten_table, uint32_t l = 0, uint32_t h = 3)
{
color32 b(base_color5);
b.g = (b.g << 3) | (b.g >> 2);
const int* pInten_table = g_etc1_inten_tables[inten_table];
pBlock_colors[0] = clamp255(b.g + pInten_table[l]);
pBlock_colors[1] = clamp255(b.g + pInten_table[h]);
}
};
enum dxt_constants
{
cDXT1SelectorBits = 2U, cDXT1SelectorValues = 1U << cDXT1SelectorBits, cDXT1SelectorMask = cDXT1SelectorValues - 1U,
cDXT5SelectorBits = 3U, cDXT5SelectorValues = 1U << cDXT5SelectorBits, cDXT5SelectorMask = cDXT5SelectorValues - 1U,
};
static const uint8_t g_etc1_x_selector_unpack[4][256] =
{
{
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3,
},
{
0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1,
2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3,
0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1,
2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3,
0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1,
2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3,
0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1,
2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3, 2, 2, 3, 3,
},
{
0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1,
0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1,
2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3,
2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3,
0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1,
0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1,
2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3,
2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3,
},
{
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1,
2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3,
2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3,
2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3,
2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3,
}
};
struct dxt1_block
{
enum { cTotalEndpointBytes = 2, cTotalSelectorBytes = 4 };
uint8_t m_low_color[cTotalEndpointBytes];
uint8_t m_high_color[cTotalEndpointBytes];
uint8_t m_selectors[cTotalSelectorBytes];
inline void clear() { basisu::clear_obj(*this); }
inline uint32_t get_high_color() const { return m_high_color[0] | (m_high_color[1] << 8U); }
inline uint32_t get_low_color() const { return m_low_color[0] | (m_low_color[1] << 8U); }
inline void set_low_color(uint16_t c) { m_low_color[0] = static_cast<uint8_t>(c & 0xFF); m_low_color[1] = static_cast<uint8_t>((c >> 8) & 0xFF); }
inline void set_high_color(uint16_t c) { m_high_color[0] = static_cast<uint8_t>(c & 0xFF); m_high_color[1] = static_cast<uint8_t>((c >> 8) & 0xFF); }
inline uint32_t get_selector(uint32_t x, uint32_t y) const { assert((x < 4U) && (y < 4U)); return (m_selectors[y] >> (x * cDXT1SelectorBits)) & cDXT1SelectorMask; }
inline void set_selector(uint32_t x, uint32_t y, uint32_t val) { assert((x < 4U) && (y < 4U) && (val < 4U)); m_selectors[y] &= (~(cDXT1SelectorMask << (x * cDXT1SelectorBits))); m_selectors[y] |= (val << (x * cDXT1SelectorBits)); }
static uint16_t pack_color(const color32& color, bool scaled, uint32_t bias = 127U)
{
uint32_t r = color.r, g = color.g, b = color.b;
if (scaled)
{
r = (r * 31U + bias) / 255U;
g = (g * 63U + bias) / 255U;
b = (b * 31U + bias) / 255U;
}
return static_cast<uint16_t>(basisu::minimum(b, 31U) | (basisu::minimum(g, 63U) << 5U) | (basisu::minimum(r, 31U) << 11U));
}
static uint16_t pack_unscaled_color(uint32_t r, uint32_t g, uint32_t b) { return static_cast<uint16_t>(b | (g << 5U) | (r << 11U)); }
};
struct dxt_selector_range
{
uint32_t m_low;
uint32_t m_high;
};
struct etc1_to_dxt1_56_solution
{
uint8_t m_lo;
uint8_t m_hi;
uint16_t m_err;
};
#if BASISD_SUPPORT_DXT1
static dxt_selector_range g_etc1_to_dxt1_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 },
};
const uint32_t NUM_ETC1_TO_DXT1_SELECTOR_RANGES = sizeof(g_etc1_to_dxt1_selector_ranges) / sizeof(g_etc1_to_dxt1_selector_ranges[0]);
static uint32_t g_etc1_to_dxt1_selector_range_index[4][4];
const uint32_t NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS = 10;
static const uint8_t g_etc1_to_dxt1_selector_mappings[NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS][4] =
{
{ 0, 0, 1, 1 },
{ 0, 0, 1, 2 },
{ 0, 0, 1, 3 },
{ 0, 0, 2, 3 },
{ 0, 1, 1, 1 },
{ 0, 1, 2, 2 },
{ 0, 1, 2, 3 },
{ 0, 2, 3, 3 },
{ 1, 2, 2, 2 },
{ 1, 2, 3, 3 },
};
static uint8_t g_etc1_to_dxt1_selector_mappings_raw_dxt1_256[NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS][256];
static uint8_t g_etc1_to_dxt1_selector_mappings_raw_dxt1_inv_256[NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS][256];
static const etc1_to_dxt1_56_solution g_etc1_to_dxt_6[32 * 8 * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS * NUM_ETC1_TO_DXT1_SELECTOR_RANGES] = {
#include "basisu_transcoder_tables_dxt1_6.inc"
};
static const etc1_to_dxt1_56_solution g_etc1_to_dxt_5[32 * 8 * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS * NUM_ETC1_TO_DXT1_SELECTOR_RANGES] = {
#include "basisu_transcoder_tables_dxt1_5.inc"
};
#endif // BASISD_SUPPORT_DXT1
#if BASISD_SUPPORT_DXT1 || BASISD_SUPPORT_UASTC
// First saw the idea for optimal BC1 single-color block encoding using lookup tables in ryg_dxt.
struct bc1_match_entry
{
uint8_t m_hi;
uint8_t m_lo;
};
static bc1_match_entry g_bc1_match5_equals_1[256], g_bc1_match6_equals_1[256]; // selector 1, allow equals hi/lo
static bc1_match_entry g_bc1_match5_equals_0[256], g_bc1_match6_equals_0[256]; // selector 0, allow equals hi/lo
static void prepare_bc1_single_color_table(bc1_match_entry* pTable, const uint8_t* pExpand, int size0, int size1, int sel)
{
for (int i = 0; i < 256; i++)
{
int lowest_e = 256;
for (int lo = 0; lo < size0; lo++)
{
for (int hi = 0; hi < size1; hi++)
{
const int lo_e = pExpand[lo], hi_e = pExpand[hi];
int e;
if (sel == 1)
{
// Selector 1
e = basisu::iabs(((hi_e * 2 + lo_e) / 3) - i);
e += (basisu::iabs(hi_e - lo_e) * 3) / 100;
}
else
{
assert(sel == 0);
// Selector 0
e = basisu::iabs(hi_e - i);
}
if (e < lowest_e)
{
pTable[i].m_hi = static_cast<uint8_t>(hi);
pTable[i].m_lo = static_cast<uint8_t>(lo);
lowest_e = e;
}
} // hi
} // lo
}
}
#endif
#if BASISD_WRITE_NEW_DXT1_TABLES
static void create_etc1_to_dxt1_5_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_dxt1_5.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_DXT1_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_dxt1_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_dxt1_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 31; hi++)
{
for (uint32_t lo = 0; lo <= 31; lo++)
{
//if (lo == hi) continue;
uint32_t colors[4];
colors[0] = (lo << 3) | (lo >> 2);
colors[3] = (hi << 3) | (hi >> 2);
colors[1] = (colors[0] * 2 + colors[3]) / 3;
colors[2] = (colors[3] * 2 + colors[0]) / 3;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_dxt1_selector_mappings[m][s]];
total_err += err * err;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
assert(best_err <= 0xFFFF);
//table[g + inten * 32].m_solutions[sr][m].m_lo = static_cast<uint8_t>(best_lo);
//table[g + inten * 32].m_solutions[sr][m].m_hi = static_cast<uint8_t>(best_hi);
//table[g + inten * 32].m_solutions[sr][m].m_err = static_cast<uint16_t>(best_err);
//assert(best_lo != best_hi);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
static void create_etc1_to_dxt1_6_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_dxt1_6.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_DXT1_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_dxt1_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_dxt1_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 63; hi++)
{
for (uint32_t lo = 0; lo <= 63; lo++)
{
//if (lo == hi) continue;
uint32_t colors[4];
colors[0] = (lo << 2) | (lo >> 4);
colors[3] = (hi << 2) | (hi >> 4);
colors[1] = (colors[0] * 2 + colors[3]) / 3;
colors[2] = (colors[3] * 2 + colors[0]) / 3;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_dxt1_selector_mappings[m][s]];
total_err += err * err;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
assert(best_err <= 0xFFFF);
//table[g + inten * 32].m_solutions[sr][m].m_lo = static_cast<uint8_t>(best_lo);
//table[g + inten * 32].m_solutions[sr][m].m_hi = static_cast<uint8_t>(best_hi);
//table[g + inten * 32].m_solutions[sr][m].m_err = static_cast<uint16_t>(best_err);
//assert(best_lo != best_hi);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
#endif
#if BASISD_SUPPORT_UASTC || BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_ETC2_EAC_RG11
static const int8_t g_eac_modifier_table[16][8] =
{
{ -3, -6, -9, -15, 2, 5, 8, 14 },
{ -3, -7, -10, -13, 2, 6, 9, 12 },
{ -2, -5, -8, -13, 1, 4, 7, 12 },
{ -2, -4, -6, -13, 1, 3, 5, 12 },
{ -3, -6, -8, -12, 2, 5, 7, 11 },
{ -3, -7, -9, -11, 2, 6, 8, 10 },
{ -4, -7, -8, -11, 3, 6, 7, 10 },
{ -3, -5, -8, -11, 2, 4, 7, 10 },
{ -2, -6, -8, -10, 1, 5, 7, 9 },
{ -2, -5, -8, -10, 1, 4, 7, 9 },
{ -2, -4, -8, -10, 1, 3, 7, 9 },
{ -2, -5, -7, -10, 1, 4, 6, 9 },
{ -3, -4, -7, -10, 2, 3, 6, 9 },
{ -1, -2, -3, -10, 0, 1, 2, 9 }, // entry 13
{ -4, -6, -8, -9, 3, 5, 7, 8 },
{ -3, -5, -7, -9, 2, 4, 6, 8 }
};
// Used by ETC2 EAC A8 and ETC2 EAC R11/RG11.
struct eac_block
{
uint16_t m_base : 8;
uint16_t m_table : 4;
uint16_t m_multiplier : 4;
uint8_t m_selectors[6];
uint32_t get_selector(uint32_t x, uint32_t y) const
{
assert((x < 4) && (y < 4));
const uint32_t ofs = 45 - (y + x * 4) * 3;
const uint64_t pixels = get_selector_bits();
return (pixels >> ofs) & 7;
}
void set_selector(uint32_t x, uint32_t y, uint32_t s)
{
assert((x < 4) && (y < 4) && (s < 8));
const uint32_t ofs = 45 - (y + x * 4) * 3;
uint64_t pixels = get_selector_bits();
pixels &= ~(7ULL << ofs);
pixels |= (static_cast<uint64_t>(s) << ofs);
set_selector_bits(pixels);
}
uint64_t get_selector_bits() const
{
uint64_t pixels = ((uint64_t)m_selectors[0] << 40) | ((uint64_t)m_selectors[1] << 32) |
((uint64_t)m_selectors[2] << 24) |
((uint64_t)m_selectors[3] << 16) | ((uint64_t)m_selectors[4] << 8) | m_selectors[5];
return pixels;
}
void set_selector_bits(uint64_t pixels)
{
m_selectors[0] = (uint8_t)(pixels >> 40);
m_selectors[1] = (uint8_t)(pixels >> 32);
m_selectors[2] = (uint8_t)(pixels >> 24);
m_selectors[3] = (uint8_t)(pixels >> 16);
m_selectors[4] = (uint8_t)(pixels >> 8);
m_selectors[5] = (uint8_t)(pixels);
}
};
#endif // #if BASISD_SUPPORT_UASTC BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_ETC2_EAC_RG11
#if BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_ETC2_EAC_RG11
static const dxt_selector_range s_etc2_eac_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
};
const uint32_t NUM_ETC2_EAC_SELECTOR_RANGES = sizeof(s_etc2_eac_selector_ranges) / sizeof(s_etc2_eac_selector_ranges[0]);
struct etc1_g_to_eac_conversion
{
uint8_t m_base;
uint8_t m_table_mul; // mul*16+table
uint16_t m_trans; // translates ETC1 selectors to ETC2_EAC_A8
};
#endif // BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_ETC2_EAC_RG11
#if BASISD_SUPPORT_ETC2_EAC_A8
#if BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
struct pack_eac_a8_results
{
uint32_t m_base;
uint32_t m_table;
uint32_t m_multiplier;
basisu::vector<uint8_t> m_selectors;
basisu::vector<uint8_t> m_selectors_temp;
};
static uint64_t pack_eac_a8_exhaustive(pack_eac_a8_results& results, const uint8_t* pPixels, uint32_t num_pixels)
{
results.m_selectors.resize(num_pixels);
results.m_selectors_temp.resize(num_pixels);
uint64_t best_err = UINT64_MAX;
for (uint32_t base_color = 0; base_color < 256; base_color++)
{
for (uint32_t multiplier = 1; multiplier < 16; multiplier++)
{
for (uint32_t table = 0; table < 16; table++)
{
uint64_t total_err = 0;
for (uint32_t i = 0; i < num_pixels; i++)
{
const int a = pPixels[i];
uint32_t best_s_err = UINT32_MAX;
uint32_t best_s = 0;
for (uint32_t s = 0; s < 8; s++)
{
int v = (int)multiplier * g_eac_modifier_table[table][s] + (int)base_color;
if (v < 0)
v = 0;
else if (v > 255)
v = 255;
uint32_t err = abs(a - v);
if (err < best_s_err)
{
best_s_err = err;
best_s = s;
}
}
results.m_selectors_temp[i] = static_cast<uint8_t>(best_s);
total_err += best_s_err * best_s_err;
if (total_err >= best_err)
break;
}
if (total_err < best_err)
{
best_err = total_err;
results.m_base = base_color;
results.m_multiplier = multiplier;
results.m_table = table;
results.m_selectors.swap(results.m_selectors_temp);
}
} // table
} // multiplier
} // base_color
return best_err;
}
#endif // BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
static
#if !BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
const
#endif
etc1_g_to_eac_conversion s_etc1_g_to_etc2_a8[32 * 8][NUM_ETC2_EAC_SELECTOR_RANGES] =
{
{ { 0,1,3328 },{ 0,1,3328 },{ 0,1,256 },{ 0,1,256 } },
{ { 0,226,3936 },{ 0,226,3936 },{ 0,81,488 },{ 0,81,488 } },
{ { 6,178,4012 },{ 6,178,4008 },{ 0,146,501 },{ 0,130,496 } },
{ { 14,178,4012 },{ 14,178,4008 },{ 8,146,501 },{ 6,82,496 } },
{ { 23,178,4012 },{ 23,178,4008 },{ 17,146,501 },{ 3,228,496 } },
{ { 31,178,4012 },{ 31,178,4008 },{ 25,146,501 },{ 11,228,496 } },
{ { 39,178,4012 },{ 39,178,4008 },{ 33,146,501 },{ 19,228,496 } },
{ { 47,178,4012 },{ 47,178,4008 },{ 41,146,501 },{ 27,228,496 } },
{ { 56,178,4012 },{ 56,178,4008 },{ 50,146,501 },{ 36,228,496 } },
{ { 64,178,4012 },{ 64,178,4008 },{ 58,146,501 },{ 44,228,496 } },
{ { 72,178,4012 },{ 72,178,4008 },{ 66,146,501 },{ 52,228,496 } },
{ { 80,178,4012 },{ 80,178,4008 },{ 74,146,501 },{ 60,228,496 } },
{ { 89,178,4012 },{ 89,178,4008 },{ 83,146,501 },{ 69,228,496 } },
{ { 97,178,4012 },{ 97,178,4008 },{ 91,146,501 },{ 77,228,496 } },
{ { 105,178,4012 },{ 105,178,4008 },{ 99,146,501 },{ 85,228,496 } },
{ { 113,178,4012 },{ 113,178,4008 },{ 107,146,501 },{ 93,228,496 } },
{ { 122,178,4012 },{ 122,178,4008 },{ 116,146,501 },{ 102,228,496 } },
{ { 130,178,4012 },{ 130,178,4008 },{ 124,146,501 },{ 110,228,496 } },
{ { 138,178,4012 },{ 138,178,4008 },{ 132,146,501 },{ 118,228,496 } },
{ { 146,178,4012 },{ 146,178,4008 },{ 140,146,501 },{ 126,228,496 } },
{ { 155,178,4012 },{ 155,178,4008 },{ 149,146,501 },{ 135,228,496 } },
{ { 163,178,4012 },{ 163,178,4008 },{ 157,146,501 },{ 143,228,496 } },
{ { 171,178,4012 },{ 171,178,4008 },{ 165,146,501 },{ 151,228,496 } },
{ { 179,178,4012 },{ 179,178,4008 },{ 173,146,501 },{ 159,228,496 } },
{ { 188,178,4012 },{ 188,178,4008 },{ 182,146,501 },{ 168,228,496 } },
{ { 196,178,4012 },{ 196,178,4008 },{ 190,146,501 },{ 176,228,496 } },
{ { 204,178,4012 },{ 204,178,4008 },{ 198,146,501 },{ 184,228,496 } },
{ { 212,178,4012 },{ 212,178,4008 },{ 206,146,501 },{ 192,228,496 } },
{ { 221,178,4012 },{ 221,178,4008 },{ 215,146,501 },{ 201,228,496 } },
{ { 229,178,4012 },{ 229,178,4008 },{ 223,146,501 },{ 209,228,496 } },
{ { 235,66,4012 },{ 221,100,4008 },{ 231,146,501 },{ 217,228,496 } },
{ { 211,102,4085 },{ 118,31,4080 },{ 211,102,501 },{ 118,31,496 } },
{ { 1,2,3328 },{ 1,2,3328 },{ 0,1,320 },{ 0,1,320 } },
{ { 7,162,3905 },{ 7,162,3904 },{ 1,17,480 },{ 1,17,480 } },
{ { 15,162,3906 },{ 15,162,3904 },{ 1,117,352 },{ 1,117,352 } },
{ { 23,162,3906 },{ 23,162,3904 },{ 5,34,500 },{ 4,53,424 } },
{ { 32,162,3906 },{ 32,162,3904 },{ 14,34,500 },{ 3,69,424 } },
{ { 40,162,3906 },{ 40,162,3904 },{ 22,34,500 },{ 1,133,496 } },
{ { 48,162,3906 },{ 48,162,3904 },{ 30,34,500 },{ 4,85,496 } },
{ { 56,162,3906 },{ 56,162,3904 },{ 38,34,500 },{ 12,85,496 } },
{ { 65,162,3906 },{ 65,162,3904 },{ 47,34,500 },{ 1,106,424 } },
{ { 73,162,3906 },{ 73,162,3904 },{ 55,34,500 },{ 9,106,424 } },
{ { 81,162,3906 },{ 81,162,3904 },{ 63,34,500 },{ 7,234,496 } },
{ { 89,162,3906 },{ 89,162,3904 },{ 71,34,500 },{ 15,234,496 } },
{ { 98,162,3906 },{ 98,162,3904 },{ 80,34,500 },{ 24,234,496 } },
{ { 106,162,3906 },{ 106,162,3904 },{ 88,34,500 },{ 32,234,496 } },
{ { 114,162,3906 },{ 114,162,3904 },{ 96,34,500 },{ 40,234,496 } },
{ { 122,162,3906 },{ 122,162,3904 },{ 104,34,500 },{ 48,234,496 } },
{ { 131,162,3906 },{ 131,162,3904 },{ 113,34,500 },{ 57,234,496 } },
{ { 139,162,3906 },{ 139,162,3904 },{ 121,34,500 },{ 65,234,496 } },
{ { 147,162,3906 },{ 147,162,3904 },{ 129,34,500 },{ 73,234,496 } },
{ { 155,162,3906 },{ 155,162,3904 },{ 137,34,500 },{ 81,234,496 } },
{ { 164,162,3906 },{ 164,162,3904 },{ 146,34,500 },{ 90,234,496 } },
{ { 172,162,3906 },{ 172,162,3904 },{ 154,34,500 },{ 98,234,496 } },
{ { 180,162,3906 },{ 180,162,3904 },{ 162,34,500 },{ 106,234,496 } },
{ { 188,162,3906 },{ 188,162,3904 },{ 170,34,500 },{ 114,234,496 } },
{ { 197,162,3906 },{ 197,162,3904 },{ 179,34,500 },{ 123,234,496 } },
{ { 205,162,3906 },{ 205,162,3904 },{ 187,34,500 },{ 131,234,496 } },
{ { 213,162,3906 },{ 213,162,3904 },{ 195,34,500 },{ 139,234,496 } },
{ { 221,162,3906 },{ 221,162,3904 },{ 203,34,500 },{ 147,234,496 } },
{ { 230,162,3906 },{ 230,162,3904 },{ 212,34,500 },{ 156,234,496 } },
{ { 238,162,3906 },{ 174,106,4008 },{ 220,34,500 },{ 164,234,496 } },
{ { 240,178,4001 },{ 182,106,4008 },{ 228,34,500 },{ 172,234,496 } },
{ { 166,108,4085 },{ 115,31,4080 },{ 166,108,501 },{ 115,31,496 } },
{ { 1,68,3328 },{ 1,68,3328 },{ 0,17,384 },{ 0,17,384 } },
{ { 1,148,3904 },{ 1,148,3904 },{ 1,2,384 },{ 1,2,384 } },
{ { 21,18,3851 },{ 21,18,3848 },{ 1,50,488 },{ 1,50,488 } },
{ { 27,195,3851 },{ 29,18,3848 },{ 0,67,488 },{ 0,67,488 } },
{ { 34,195,3907 },{ 38,18,3848 },{ 20,66,482 },{ 0,3,496 } },
{ { 42,195,3907 },{ 46,18,3848 },{ 28,66,482 },{ 2,6,424 } },
{ { 50,195,3907 },{ 54,18,3848 },{ 36,66,482 },{ 4,22,424 } },
{ { 58,195,3907 },{ 62,18,3848 },{ 44,66,482 },{ 3,73,424 } },
{ { 67,195,3907 },{ 71,18,3848 },{ 53,66,482 },{ 3,22,496 } },
{ { 75,195,3907 },{ 79,18,3848 },{ 61,66,482 },{ 2,137,496 } },
{ { 83,195,3907 },{ 87,18,3848 },{ 69,66,482 },{ 1,89,496 } },
{ { 91,195,3907 },{ 95,18,3848 },{ 77,66,482 },{ 9,89,496 } },
{ { 100,195,3907 },{ 104,18,3848 },{ 86,66,482 },{ 18,89,496 } },
{ { 108,195,3907 },{ 112,18,3848 },{ 94,66,482 },{ 26,89,496 } },
{ { 116,195,3907 },{ 120,18,3848 },{ 102,66,482 },{ 34,89,496 } },
{ { 124,195,3907 },{ 128,18,3848 },{ 110,66,482 },{ 42,89,496 } },
{ { 133,195,3907 },{ 137,18,3848 },{ 119,66,482 },{ 51,89,496 } },
{ { 141,195,3907 },{ 145,18,3848 },{ 127,66,482 },{ 59,89,496 } },
{ { 149,195,3907 },{ 153,18,3848 },{ 135,66,482 },{ 67,89,496 } },
{ { 157,195,3907 },{ 161,18,3848 },{ 143,66,482 },{ 75,89,496 } },
{ { 166,195,3907 },{ 170,18,3848 },{ 152,66,482 },{ 84,89,496 } },
{ { 174,195,3907 },{ 178,18,3848 },{ 160,66,482 },{ 92,89,496 } },
{ { 182,195,3907 },{ 186,18,3848 },{ 168,66,482 },{ 100,89,496 } },
{ { 190,195,3907 },{ 194,18,3848 },{ 176,66,482 },{ 108,89,496 } },
{ { 199,195,3907 },{ 203,18,3848 },{ 185,66,482 },{ 117,89,496 } },
{ { 207,195,3907 },{ 211,18,3848 },{ 193,66,482 },{ 125,89,496 } },
{ { 215,195,3907 },{ 219,18,3848 },{ 201,66,482 },{ 133,89,496 } },
{ { 223,195,3907 },{ 227,18,3848 },{ 209,66,482 },{ 141,89,496 } },
{ { 231,195,3907 },{ 168,89,4008 },{ 218,66,482 },{ 150,89,496 } },
{ { 236,18,3907 },{ 176,89,4008 },{ 226,66,482 },{ 158,89,496 } },
{ { 158,90,4085 },{ 103,31,4080 },{ 158,90,501 },{ 103,31,496 } },
{ { 166,90,4085 },{ 111,31,4080 },{ 166,90,501 },{ 111,31,496 } },
{ { 0,70,3328 },{ 0,70,3328 },{ 0,45,256 },{ 0,45,256 } },
{ { 0,117,3904 },{ 0,117,3904 },{ 0,35,384 },{ 0,35,384 } },
{ { 13,165,3905 },{ 13,165,3904 },{ 3,221,416 },{ 3,221,416 } },
{ { 21,165,3906 },{ 21,165,3904 },{ 11,221,416 },{ 11,221,416 } },
{ { 30,165,3906 },{ 30,165,3904 },{ 7,61,352 },{ 7,61,352 } },
{ { 38,165,3906 },{ 38,165,3904 },{ 2,125,352 },{ 2,125,352 } },
{ { 46,165,3906 },{ 46,165,3904 },{ 2,37,500 },{ 10,125,352 } },
{ { 54,165,3906 },{ 54,165,3904 },{ 10,37,500 },{ 5,61,424 } },
{ { 63,165,3906 },{ 63,165,3904 },{ 19,37,500 },{ 1,189,424 } },
{ { 4,254,4012 },{ 71,165,3904 },{ 27,37,500 },{ 9,189,424 } },
{ { 12,254,4012 },{ 79,165,3904 },{ 35,37,500 },{ 4,77,424 } },
{ { 20,254,4012 },{ 87,165,3904 },{ 43,37,500 },{ 12,77,424 } },
{ { 29,254,4012 },{ 96,165,3904 },{ 52,37,500 },{ 8,93,424 } },
{ { 37,254,4012 },{ 104,165,3904 },{ 60,37,500 },{ 3,141,496 } },
{ { 45,254,4012 },{ 112,165,3904 },{ 68,37,500 },{ 11,141,496 } },
{ { 53,254,4012 },{ 120,165,3904 },{ 76,37,500 },{ 6,93,496 } },
{ { 62,254,4012 },{ 129,165,3904 },{ 85,37,500 },{ 15,93,496 } },
{ { 70,254,4012 },{ 137,165,3904 },{ 93,37,500 },{ 23,93,496 } },
{ { 78,254,4012 },{ 145,165,3904 },{ 101,37,500 },{ 31,93,496 } },
{ { 86,254,4012 },{ 153,165,3904 },{ 109,37,500 },{ 39,93,496 } },
{ { 95,254,4012 },{ 162,165,3904 },{ 118,37,500 },{ 48,93,496 } },
{ { 103,254,4012 },{ 170,165,3904 },{ 126,37,500 },{ 56,93,496 } },
{ { 111,254,4012 },{ 178,165,3904 },{ 134,37,500 },{ 64,93,496 } },
{ { 119,254,4012 },{ 186,165,3904 },{ 142,37,500 },{ 72,93,496 } },
{ { 128,254,4012 },{ 195,165,3904 },{ 151,37,500 },{ 81,93,496 } },
{ { 136,254,4012 },{ 203,165,3904 },{ 159,37,500 },{ 89,93,496 } },
{ { 212,165,3906 },{ 136,77,4008 },{ 167,37,500 },{ 97,93,496 } },
{ { 220,165,3394 },{ 131,93,4008 },{ 175,37,500 },{ 105,93,496 } },
{ { 214,181,4001 },{ 140,93,4008 },{ 184,37,500 },{ 114,93,496 } },
{ { 222,181,4001 },{ 148,93,4008 },{ 192,37,500 },{ 122,93,496 } },
{ { 114,95,4085 },{ 99,31,4080 },{ 114,95,501 },{ 99,31,496 } },
{ { 122,95,4085 },{ 107,31,4080 },{ 122,95,501 },{ 107,31,496 } },
{ { 0,102,3840 },{ 0,102,3840 },{ 0,18,384 },{ 0,18,384 } },
{ { 5,167,3904 },{ 5,167,3904 },{ 0,13,256 },{ 0,13,256 } },
{ { 4,54,3968 },{ 4,54,3968 },{ 1,67,448 },{ 1,67,448 } },
{ { 30,198,3850 },{ 30,198,3848 },{ 0,3,480 },{ 0,3,480 } },
{ { 39,198,3850 },{ 39,198,3848 },{ 3,52,488 },{ 3,52,488 } },
{ { 47,198,3851 },{ 47,198,3848 },{ 3,4,488 },{ 3,4,488 } },
{ { 55,198,3851 },{ 55,198,3848 },{ 1,70,488 },{ 1,70,488 } },
{ { 54,167,3906 },{ 63,198,3848 },{ 3,22,488 },{ 3,22,488 } },
{ { 62,167,3906 },{ 72,198,3848 },{ 24,118,488 },{ 0,6,496 } },
{ { 70,167,3906 },{ 80,198,3848 },{ 32,118,488 },{ 2,89,488 } },
{ { 78,167,3906 },{ 88,198,3848 },{ 40,118,488 },{ 1,73,496 } },
{ { 86,167,3906 },{ 96,198,3848 },{ 48,118,488 },{ 0,28,424 } },
{ { 95,167,3906 },{ 105,198,3848 },{ 57,118,488 },{ 9,28,424 } },
{ { 103,167,3906 },{ 113,198,3848 },{ 65,118,488 },{ 5,108,496 } },
{ { 111,167,3906 },{ 121,198,3848 },{ 73,118,488 },{ 13,108,496 } },
{ { 119,167,3906 },{ 129,198,3848 },{ 81,118,488 },{ 21,108,496 } },
{ { 128,167,3906 },{ 138,198,3848 },{ 90,118,488 },{ 6,28,496 } },
{ { 136,167,3906 },{ 146,198,3848 },{ 98,118,488 },{ 14,28,496 } },
{ { 144,167,3906 },{ 154,198,3848 },{ 106,118,488 },{ 22,28,496 } },
{ { 152,167,3906 },{ 162,198,3848 },{ 114,118,488 },{ 30,28,496 } },
{ { 161,167,3906 },{ 171,198,3848 },{ 123,118,488 },{ 39,28,496 } },
{ { 169,167,3906 },{ 179,198,3848 },{ 131,118,488 },{ 47,28,496 } },
{ { 177,167,3906 },{ 187,198,3848 },{ 139,118,488 },{ 55,28,496 } },
{ { 185,167,3906 },{ 195,198,3848 },{ 147,118,488 },{ 63,28,496 } },
{ { 194,167,3906 },{ 120,12,4008 },{ 156,118,488 },{ 72,28,496 } },
{ { 206,198,3907 },{ 116,28,4008 },{ 164,118,488 },{ 80,28,496 } },
{ { 214,198,3907 },{ 124,28,4008 },{ 172,118,488 },{ 88,28,496 } },
{ { 222,198,3395 },{ 132,28,4008 },{ 180,118,488 },{ 96,28,496 } },
{ { 207,134,4001 },{ 141,28,4008 },{ 189,118,488 },{ 105,28,496 } },
{ { 95,30,4085 },{ 86,31,4080 },{ 95,30,501 },{ 86,31,496 } },
{ { 103,30,4085 },{ 94,31,4080 },{ 103,30,501 },{ 94,31,496 } },
{ { 111,30,4085 },{ 102,31,4080 },{ 111,30,501 },{ 102,31,496 } },
{ { 0,104,3840 },{ 0,104,3840 },{ 0,18,448 },{ 0,18,448 } },
{ { 4,39,3904 },{ 4,39,3904 },{ 0,4,384 },{ 0,4,384 } },
{ { 0,56,3968 },{ 0,56,3968 },{ 0,84,448 },{ 0,84,448 } },
{ { 6,110,3328 },{ 6,110,3328 },{ 0,20,448 },{ 0,20,448 } },
{ { 41,200,3850 },{ 41,200,3848 },{ 1,4,480 },{ 1,4,480 } },
{ { 49,200,3850 },{ 49,200,3848 },{ 1,8,416 },{ 1,8,416 } },
{ { 57,200,3851 },{ 57,200,3848 },{ 1,38,488 },{ 1,38,488 } },
{ { 65,200,3851 },{ 65,200,3848 },{ 1,120,488 },{ 1,120,488 } },
{ { 74,200,3851 },{ 74,200,3848 },{ 2,72,488 },{ 2,72,488 } },
{ { 69,6,3907 },{ 82,200,3848 },{ 2,24,488 },{ 2,24,488 } },
{ { 77,6,3907 },{ 90,200,3848 },{ 26,120,488 },{ 10,24,488 } },
{ { 97,63,3330 },{ 98,200,3848 },{ 34,120,488 },{ 2,8,496 } },
{ { 106,63,3330 },{ 107,200,3848 },{ 43,120,488 },{ 3,92,488 } },
{ { 114,63,3330 },{ 115,200,3848 },{ 51,120,488 },{ 11,92,488 } },
{ { 122,63,3330 },{ 123,200,3848 },{ 59,120,488 },{ 7,76,496 } },
{ { 130,63,3330 },{ 131,200,3848 },{ 67,120,488 },{ 15,76,496 } },
{ { 139,63,3330 },{ 140,200,3848 },{ 76,120,488 },{ 24,76,496 } },
{ { 147,63,3330 },{ 148,200,3848 },{ 84,120,488 },{ 32,76,496 } },
{ { 155,63,3330 },{ 156,200,3848 },{ 92,120,488 },{ 40,76,496 } },
{ { 163,63,3330 },{ 164,200,3848 },{ 100,120,488 },{ 48,76,496 } },
{ { 172,63,3330 },{ 173,200,3848 },{ 109,120,488 },{ 57,76,496 } },
{ { 184,6,3851 },{ 181,200,3848 },{ 117,120,488 },{ 65,76,496 } },
{ { 192,6,3851 },{ 133,28,3936 },{ 125,120,488 },{ 73,76,496 } },
{ { 189,200,3907 },{ 141,28,3936 },{ 133,120,488 },{ 81,76,496 } },
{ { 198,200,3907 },{ 138,108,4000 },{ 142,120,488 },{ 90,76,496 } },
{ { 206,200,3907 },{ 146,108,4000 },{ 150,120,488 },{ 98,76,496 } },
{ { 214,200,3395 },{ 154,108,4000 },{ 158,120,488 },{ 106,76,496 } },
{ { 190,136,4001 },{ 162,108,4000 },{ 166,120,488 },{ 114,76,496 } },
{ { 123,30,4076 },{ 87,15,4080 },{ 123,30,492 },{ 87,15,496 } },
{ { 117,110,4084 },{ 80,31,4080 },{ 117,110,500 },{ 80,31,496 } },
{ { 125,110,4084 },{ 88,31,4080 },{ 125,110,500 },{ 88,31,496 } },
{ { 133,110,4084 },{ 96,31,4080 },{ 133,110,500 },{ 96,31,496 } },
{ { 9,56,3904 },{ 9,56,3904 },{ 0,67,448 },{ 0,67,448 } },
{ { 1,8,3904 },{ 1,8,3904 },{ 1,84,448 },{ 1,84,448 } },
{ { 1,124,3904 },{ 1,124,3904 },{ 0,39,384 },{ 0,39,384 } },
{ { 9,124,3904 },{ 9,124,3904 },{ 1,4,448 },{ 1,4,448 } },
{ { 6,76,3904 },{ 6,76,3904 },{ 0,70,448 },{ 0,70,448 } },
{ { 62,6,3859 },{ 62,6,3856 },{ 2,38,480 },{ 2,38,480 } },
{ { 70,6,3859 },{ 70,6,3856 },{ 5,43,416 },{ 5,43,416 } },
{ { 78,6,3859 },{ 78,6,3856 },{ 2,11,416 },{ 2,11,416 } },
{ { 87,6,3859 },{ 87,6,3856 },{ 0,171,488 },{ 0,171,488 } },
{ { 67,8,3906 },{ 95,6,3856 },{ 8,171,488 },{ 8,171,488 } },
{ { 75,8,3907 },{ 103,6,3856 },{ 5,123,488 },{ 5,123,488 } },
{ { 83,8,3907 },{ 111,6,3856 },{ 2,75,488 },{ 2,75,488 } },
{ { 92,8,3907 },{ 120,6,3856 },{ 0,27,488 },{ 0,27,488 } },
{ { 100,8,3907 },{ 128,6,3856 },{ 8,27,488 },{ 8,27,488 } },
{ { 120,106,3843 },{ 136,6,3856 },{ 100,6,387 },{ 16,27,488 } },
{ { 128,106,3843 },{ 144,6,3856 },{ 108,6,387 },{ 2,11,496 } },
{ { 137,106,3843 },{ 153,6,3856 },{ 117,6,387 },{ 11,11,496 } },
{ { 145,106,3843 },{ 161,6,3856 },{ 125,6,387 },{ 19,11,496 } },
{ { 163,8,3851 },{ 137,43,3904 },{ 133,6,387 },{ 27,11,496 } },
{ { 171,8,3851 },{ 101,11,4000 },{ 141,6,387 },{ 35,11,496 } },
{ { 180,8,3851 },{ 110,11,4000 },{ 150,6,387 },{ 44,11,496 } },
{ { 188,8,3851 },{ 118,11,4000 },{ 158,6,387 },{ 52,11,496 } },
{ { 172,72,3907 },{ 126,11,4000 },{ 166,6,387 },{ 60,11,496 } },
{ { 174,6,3971 },{ 134,11,4000 },{ 174,6,387 },{ 68,11,496 } },
{ { 183,6,3971 },{ 143,11,4000 },{ 183,6,387 },{ 77,11,496 } },
{ { 191,6,3971 },{ 151,11,4000 },{ 191,6,387 },{ 85,11,496 } },
{ { 199,6,3971 },{ 159,11,4000 },{ 199,6,387 },{ 93,11,496 } },
{ { 92,12,4084 },{ 69,15,4080 },{ 92,12,500 },{ 69,15,496 } },
{ { 101,12,4084 },{ 78,15,4080 },{ 101,12,500 },{ 78,15,496 } },
{ { 109,12,4084 },{ 86,15,4080 },{ 109,12,500 },{ 86,15,496 } },
{ { 117,12,4084 },{ 79,31,4080 },{ 117,12,500 },{ 79,31,496 } },
{ { 125,12,4084 },{ 87,31,4080 },{ 125,12,500 },{ 87,31,496 } },
{ { 71,8,3602 },{ 71,8,3600 },{ 2,21,384 },{ 2,21,384 } },
{ { 79,8,3611 },{ 79,8,3608 },{ 0,69,448 },{ 0,69,448 } },
{ { 87,8,3611 },{ 87,8,3608 },{ 0,23,384 },{ 0,23,384 } },
{ { 95,8,3611 },{ 95,8,3608 },{ 1,5,448 },{ 1,5,448 } },
{ { 104,8,3611 },{ 104,8,3608 },{ 0,88,448 },{ 0,88,448 } },
{ { 112,8,3611 },{ 112,8,3608 },{ 0,72,448 },{ 0,72,448 } },
{ { 120,8,3611 },{ 121,8,3608 },{ 36,21,458 },{ 36,21,456 } },
{ { 133,47,3091 },{ 129,8,3608 },{ 44,21,458 },{ 44,21,456 } },
{ { 142,47,3091 },{ 138,8,3608 },{ 53,21,459 },{ 53,21,456 } },
{ { 98,12,3850 },{ 98,12,3848 },{ 61,21,459 },{ 61,21,456 } },
{ { 106,12,3850 },{ 106,12,3848 },{ 10,92,480 },{ 69,21,456 } },
{ { 114,12,3851 },{ 114,12,3848 },{ 18,92,480 },{ 77,21,456 } },
{ { 87,12,3906 },{ 87,12,3904 },{ 3,44,488 },{ 86,21,456 } },
{ { 95,12,3906 },{ 95,12,3904 },{ 11,44,488 },{ 94,21,456 } },
{ { 103,12,3906 },{ 103,12,3904 },{ 19,44,488 },{ 102,21,456 } },
{ { 111,12,3907 },{ 111,12,3904 },{ 27,44,489 },{ 110,21,456 } },
{ { 120,12,3907 },{ 120,12,3904 },{ 36,44,489 },{ 119,21,456 } },
{ { 128,12,3907 },{ 128,12,3904 },{ 44,44,489 },{ 127,21,456 } },
{ { 136,12,3907 },{ 136,12,3904 },{ 52,44,489 },{ 135,21,456 } },
{ { 144,12,3907 },{ 144,12,3904 },{ 60,44,489 },{ 143,21,456 } },
{ { 153,12,3907 },{ 153,12,3904 },{ 69,44,490 },{ 152,21,456 } },
{ { 161,12,3395 },{ 149,188,3968 },{ 77,44,490 },{ 160,21,456 } },
{ { 169,12,3395 },{ 198,21,3928 },{ 85,44,490 },{ 168,21,456 } },
{ { 113,95,4001 },{ 201,69,3992 },{ 125,8,483 },{ 176,21,456 } },
{ { 122,95,4001 },{ 200,21,3984 },{ 134,8,483 },{ 185,21,456 } },
{ { 142,8,4067 },{ 208,21,3984 },{ 142,8,483 },{ 193,21,456 } },
{ { 151,8,4067 },{ 47,15,4080 },{ 151,8,483 },{ 47,15,496 } },
{ { 159,8,4067 },{ 55,15,4080 },{ 159,8,483 },{ 55,15,496 } },
{ { 168,8,4067 },{ 64,15,4080 },{ 168,8,483 },{ 64,15,496 } },
{ { 160,40,4075 },{ 72,15,4080 },{ 160,40,491 },{ 72,15,496 } },
{ { 168,40,4075 },{ 80,15,4080 },{ 168,40,491 },{ 80,15,496 } },
{ { 144,8,4082 },{ 88,15,4080 },{ 144,8,498 },{ 88,15,496 } }
};
#endif // BASISD_SUPPORT_ETC2_EAC_A8
#if BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
static void create_etc2_eac_a8_conversion_table()
{
FILE* pFile = fopen("basisu_decoder_tables_etc2_eac_a8.inc", "w");
for (uint32_t inten = 0; inten < 8; inten++)
{
for (uint32_t base = 0; base < 32; base++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(base, base, base, 255), false), inten);
fprintf(pFile, "{");
for (uint32_t sel_range = 0; sel_range < NUM_ETC2_EAC_SELECTOR_RANGES; sel_range++)
{
const uint32_t low_selector = s_etc2_eac_selector_ranges[sel_range].m_low;
const uint32_t high_selector = s_etc2_eac_selector_ranges[sel_range].m_high;
// We have a ETC1 base color and intensity, and a used selector range from low_selector-high_selector.
// Now find the best ETC2 EAC A8 base/table/multiplier that fits these colors.
uint8_t pixels[4];
uint32_t num_pixels = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
pixels[num_pixels++] = block_colors[s].g;
pack_eac_a8_results pack_results;
pack_eac_a8_exhaustive(pack_results, pixels, num_pixels);
etc1_g_to_eac_conversion& c = s_etc1_g_to_etc2_a8[base + inten * 32][sel_range];
c.m_base = pack_results.m_base;
c.m_table_mul = pack_results.m_table * 16 + pack_results.m_multiplier;
c.m_trans = 0;
for (uint32_t s = 0; s < 4; s++)
{
if ((s < low_selector) || (s > high_selector))
continue;
uint32_t etc2_selector = pack_results.m_selectors[s - low_selector];
c.m_trans |= (etc2_selector << (s * 3));
}
fprintf(pFile, "{%u,%u,%u}", c.m_base, c.m_table_mul, c.m_trans);
if (sel_range < (NUM_ETC2_EAC_SELECTOR_RANGES - 1))
fprintf(pFile, ",");
}
fprintf(pFile, "},\n");
}
}
fclose(pFile);
}
#endif
#if BASISD_WRITE_NEW_ETC2_EAC_R11_TABLES
struct pack_eac_r11_results
{
uint32_t m_base;
uint32_t m_table;
uint32_t m_multiplier;
basisu::vector<uint8_t> m_selectors;
basisu::vector<uint8_t> m_selectors_temp;
};
static uint64_t pack_eac_r11_exhaustive(pack_eac_r11_results& results, const uint8_t* pPixels, uint32_t num_pixels)
{
results.m_selectors.resize(num_pixels);
results.m_selectors_temp.resize(num_pixels);
uint64_t best_err = UINT64_MAX;
for (uint32_t base_color = 0; base_color < 256; base_color++)
{
for (uint32_t multiplier = 0; multiplier < 16; multiplier++)
{
for (uint32_t table = 0; table < 16; table++)
{
uint64_t total_err = 0;
for (uint32_t i = 0; i < num_pixels; i++)
{
// Convert 8-bit input to 11-bits
const int a = (pPixels[i] * 2047 + 128) / 255;
uint32_t best_s_err = UINT32_MAX;
uint32_t best_s = 0;
for (uint32_t s = 0; s < 8; s++)
{
int v = (int)(multiplier ? (multiplier * 8) : 1) * g_eac_modifier_table[table][s] + (int)base_color * 8 + 4;
if (v < 0)
v = 0;
else if (v > 2047)
v = 2047;
uint32_t err = abs(a - v);
if (err < best_s_err)
{
best_s_err = err;
best_s = s;
}
}
results.m_selectors_temp[i] = static_cast<uint8_t>(best_s);
total_err += best_s_err * best_s_err;
if (total_err >= best_err)
break;
}
if (total_err < best_err)
{
best_err = total_err;
results.m_base = base_color;
results.m_multiplier = multiplier;
results.m_table = table;
results.m_selectors.swap(results.m_selectors_temp);
}
} // table
} // multiplier
} // base_color
return best_err;
}
static void create_etc2_eac_r11_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_decoder_tables_etc2_eac_r11.inc", "w");
for (uint32_t inten = 0; inten < 8; inten++)
{
for (uint32_t base = 0; base < 32; base++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(base, base, base, 255), false), inten);
fprintf(pFile, "{");
for (uint32_t sel_range = 0; sel_range < NUM_ETC2_EAC_SELECTOR_RANGES; sel_range++)
{
const uint32_t low_selector = s_etc2_eac_selector_ranges[sel_range].m_low;
const uint32_t high_selector = s_etc2_eac_selector_ranges[sel_range].m_high;
// We have a ETC1 base color and intensity, and a used selector range from low_selector-high_selector.
// Now find the best ETC2 EAC R11 base/table/multiplier that fits these colors.
uint8_t pixels[4];
uint32_t num_pixels = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
pixels[num_pixels++] = block_colors[s].g;
pack_eac_r11_results pack_results;
pack_eac_r11_exhaustive(pack_results, pixels, num_pixels);
etc1_g_to_eac_conversion c;
c.m_base = (uint8_t)pack_results.m_base;
c.m_table_mul = (uint8_t)(pack_results.m_table * 16 + pack_results.m_multiplier);
c.m_trans = 0;
for (uint32_t s = 0; s < 4; s++)
{
if ((s < low_selector) || (s > high_selector))
continue;
uint32_t etc2_selector = pack_results.m_selectors[s - low_selector];
c.m_trans |= (etc2_selector << (s * 3));
}
fprintf(pFile, "{%u,%u,%u}", c.m_base, c.m_table_mul, c.m_trans);
if (sel_range < (NUM_ETC2_EAC_SELECTOR_RANGES - 1))
fprintf(pFile, ",");
}
fprintf(pFile, "},\n");
}
}
fclose(pFile);
}
#endif // BASISD_WRITE_NEW_ETC2_EAC_R11_TABLES
#if BASISD_WRITE_NEW_ASTC_TABLES
static void create_etc1_to_astc_conversion_table_0_47();
static void create_etc1_to_astc_conversion_table_0_255();
#endif
#if BASISD_SUPPORT_ASTC
static void transcoder_init_astc();
#endif
#if BASISD_WRITE_NEW_BC7_MODE5_TABLES
static void create_etc1_to_bc7_m5_color_conversion_table();
static void create_etc1_to_bc7_m5_alpha_conversion_table();
#endif
#if BASISD_SUPPORT_BC7_MODE5
static void transcoder_init_bc7_mode5();
#endif
#if BASISD_WRITE_NEW_ATC_TABLES
static void create_etc1s_to_atc_conversion_tables();
#endif
#if BASISD_SUPPORT_ATC
static void transcoder_init_atc();
#endif
#if BASISD_SUPPORT_PVRTC2
static void transcoder_init_pvrtc2();
#endif
#if BASISD_SUPPORT_UASTC
void uastc_init();
#endif
static bool g_transcoder_initialized;
// Library global initialization. Requires ~9 milliseconds when compiled and executed natively on a Core i7 2.2 GHz.
// If this is too slow, these computed tables can easilky be moved to be compiled in.
void basisu_transcoder_init()
{
if (g_transcoder_initialized)
{
BASISU_DEVEL_ERROR("basisu_transcoder::basisu_transcoder_init: Called more than once\n");
return;
}
BASISU_DEVEL_ERROR("basisu_transcoder::basisu_transcoder_init: Initializing (this is not an error)\n");
#if BASISD_SUPPORT_UASTC
uastc_init();
#endif
#if BASISD_SUPPORT_ASTC
transcoder_init_astc();
#endif
#if BASISD_WRITE_NEW_ASTC_TABLES
create_etc1_to_astc_conversion_table_0_47();
create_etc1_to_astc_conversion_table_0_255();
exit(0);
#endif
#if BASISD_WRITE_NEW_BC7_MODE5_TABLES
create_etc1_to_bc7_m5_color_conversion_table();
create_etc1_to_bc7_m5_alpha_conversion_table();
exit(0);
#endif
#if BASISD_WRITE_NEW_DXT1_TABLES
create_etc1_to_dxt1_5_conversion_table();
create_etc1_to_dxt1_6_conversion_table();
exit(0);
#endif
#if BASISD_WRITE_NEW_ETC2_EAC_A8_TABLES
create_etc2_eac_a8_conversion_table();
exit(0);
#endif
#if BASISD_WRITE_NEW_ATC_TABLES
create_etc1s_to_atc_conversion_tables();
exit(0);
#endif
#if BASISD_WRITE_NEW_ETC2_EAC_R11_TABLES
create_etc2_eac_r11_conversion_table();
exit(0);
#endif
#if BASISD_SUPPORT_DXT1 || BASISD_SUPPORT_UASTC
uint8_t bc1_expand5[32];
for (int i = 0; i < 32; i++)
bc1_expand5[i] = static_cast<uint8_t>((i << 3) | (i >> 2));
prepare_bc1_single_color_table(g_bc1_match5_equals_1, bc1_expand5, 32, 32, 1);
prepare_bc1_single_color_table(g_bc1_match5_equals_0, bc1_expand5, 1, 32, 0);
uint8_t bc1_expand6[64];
for (int i = 0; i < 64; i++)
bc1_expand6[i] = static_cast<uint8_t>((i << 2) | (i >> 4));
prepare_bc1_single_color_table(g_bc1_match6_equals_1, bc1_expand6, 64, 64, 1);
prepare_bc1_single_color_table(g_bc1_match6_equals_0, bc1_expand6, 1, 64, 0);
#if 0
for (uint32_t i = 0; i < 256; i++)
{
printf("%u %u %u\n", i, (i * 63 + 127) / 255, g_bc1_match6_equals_0[i].m_hi);
}
exit(0);
#endif
#endif
#if BASISD_SUPPORT_DXT1
for (uint32_t i = 0; i < NUM_ETC1_TO_DXT1_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1_to_dxt1_selector_ranges[i].m_low;
uint32_t h = g_etc1_to_dxt1_selector_ranges[i].m_high;
g_etc1_to_dxt1_selector_range_index[l][h] = i;
}
for (uint32_t sm = 0; sm < NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS; sm++)
{
uint8_t etc1_to_dxt1_selector_mappings_raw_dxt1[4];
uint8_t etc1_to_dxt1_selector_mappings_raw_dxt1_inv[4];
for (uint32_t j = 0; j < 4; j++)
{
static const uint8_t s_linear_dxt1_to_dxt1[4] = { 0, 2, 3, 1 };
static const uint8_t s_dxt1_inverted_xlat[4] = { 1, 0, 3, 2 };
etc1_to_dxt1_selector_mappings_raw_dxt1[j] = (uint8_t)s_linear_dxt1_to_dxt1[g_etc1_to_dxt1_selector_mappings[sm][j]];
etc1_to_dxt1_selector_mappings_raw_dxt1_inv[j] = (uint8_t)s_dxt1_inverted_xlat[etc1_to_dxt1_selector_mappings_raw_dxt1[j]];
}
for (uint32_t i = 0; i < 256; i++)
{
uint32_t k = 0, k_inv = 0;
for (uint32_t s = 0; s < 4; s++)
{
k |= (etc1_to_dxt1_selector_mappings_raw_dxt1[(i >> (s * 2)) & 3] << (s * 2));
k_inv |= (etc1_to_dxt1_selector_mappings_raw_dxt1_inv[(i >> (s * 2)) & 3] << (s * 2));
}
g_etc1_to_dxt1_selector_mappings_raw_dxt1_256[sm][i] = (uint8_t)k;
g_etc1_to_dxt1_selector_mappings_raw_dxt1_inv_256[sm][i] = (uint8_t)k_inv;
}
}
#endif
#if BASISD_SUPPORT_BC7_MODE5
transcoder_init_bc7_mode5();
#endif
#if BASISD_SUPPORT_ATC
transcoder_init_atc();
#endif
#if BASISD_SUPPORT_PVRTC2
transcoder_init_pvrtc2();
#endif
g_transcoder_initialized = true;
}
#if BASISD_SUPPORT_DXT1
static void convert_etc1s_to_dxt1(dxt1_block* pDst_block, const endpoint *pEndpoints, const selector* pSelector, bool use_threecolor_blocks)
{
#if !BASISD_WRITE_NEW_DXT1_TABLES
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
uint32_t mask = 0xAA;
uint32_t max16 = (g_bc1_match5_equals_1[r].m_hi << 11) | (g_bc1_match6_equals_1[g].m_hi << 5) | g_bc1_match5_equals_1[b].m_hi;
uint32_t min16 = (g_bc1_match5_equals_1[r].m_lo << 11) | (g_bc1_match6_equals_1[g].m_lo << 5) | g_bc1_match5_equals_1[b].m_lo;
if ((!use_threecolor_blocks) && (min16 == max16))
{
// This is an annoying edge case that impacts BC3.
// This is to guarantee that BC3 blocks never use punchthrough alpha (3 color) mode, which isn't supported on some (all?) GPU's.
mask = 0;
// Make l > h
if (min16 > 0)
min16--;
else
{
// l = h = 0
assert(min16 == max16 && max16 == 0);
max16 = 1;
min16 = 0;
mask = 0x55;
}
assert(max16 > min16);
}
if (max16 < min16)
{
std::swap(max16, min16);
mask ^= 0x55;
}
pDst_block->set_low_color(static_cast<uint16_t>(max16));
pDst_block->set_high_color(static_cast<uint16_t>(min16));
pDst_block->m_selectors[0] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[1] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[2] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[3] = static_cast<uint8_t>(mask);
return;
}
else if ((inten_table >= 7) && (pSelector->m_num_unique_selectors == 2) && (pSelector->m_lo_selector == 0) && (pSelector->m_hi_selector == 3))
{
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[0].r;
const uint32_t g0 = block_colors[0].g;
const uint32_t b0 = block_colors[0].b;
const uint32_t r1 = block_colors[3].r;
const uint32_t g1 = block_colors[3].g;
const uint32_t b1 = block_colors[3].b;
uint32_t max16 = (g_bc1_match5_equals_0[r0].m_hi << 11) | (g_bc1_match6_equals_0[g0].m_hi << 5) | g_bc1_match5_equals_0[b0].m_hi;
uint32_t min16 = (g_bc1_match5_equals_0[r1].m_hi << 11) | (g_bc1_match6_equals_0[g1].m_hi << 5) | g_bc1_match5_equals_0[b1].m_hi;
uint32_t l = 0, h = 1;
if (min16 == max16)
{
// Make l > h
if (min16 > 0)
{
min16--;
l = 0;
h = 0;
}
else
{
// l = h = 0
assert(min16 == max16 && max16 == 0);
max16 = 1;
min16 = 0;
l = 1;
h = 1;
}
assert(max16 > min16);
}
if (max16 < min16)
{
std::swap(max16, min16);
l = 1;
h = 0;
}
pDst_block->set_low_color((uint16_t)max16);
pDst_block->set_high_color((uint16_t)min16);
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
pDst_block->set_selector(x, y, (s == 3) ? h : l);
}
}
return;
}
const uint32_t selector_range_table = g_etc1_to_dxt1_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_dxt1_56_solution* pTable_r = &g_etc1_to_dxt_5[(inten_table * 32 + base_color.r) * (NUM_ETC1_TO_DXT1_SELECTOR_RANGES * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS];
const etc1_to_dxt1_56_solution* pTable_g = &g_etc1_to_dxt_6[(inten_table * 32 + base_color.g) * (NUM_ETC1_TO_DXT1_SELECTOR_RANGES * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS];
const etc1_to_dxt1_56_solution* pTable_b = &g_etc1_to_dxt_5[(inten_table * 32 + base_color.b) * (NUM_ETC1_TO_DXT1_SELECTOR_RANGES * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1_TO_DXT1_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
uint32_t l = dxt1_block::pack_unscaled_color(pTable_r[best_mapping].m_lo, pTable_g[best_mapping].m_lo, pTable_b[best_mapping].m_lo);
uint32_t h = dxt1_block::pack_unscaled_color(pTable_r[best_mapping].m_hi, pTable_g[best_mapping].m_hi, pTable_b[best_mapping].m_hi);
const uint8_t* pSelectors_xlat_256 = &g_etc1_to_dxt1_selector_mappings_raw_dxt1_256[best_mapping][0];
if (l < h)
{
std::swap(l, h);
pSelectors_xlat_256 = &g_etc1_to_dxt1_selector_mappings_raw_dxt1_inv_256[best_mapping][0];
}
pDst_block->set_low_color(static_cast<uint16_t>(l));
pDst_block->set_high_color(static_cast<uint16_t>(h));
if (l == h)
{
uint8_t mask = 0;
if (!use_threecolor_blocks)
{
// This is an annoying edge case that impacts BC3.
// Make l > h
if (h > 0)
h--;
else
{
// l = h = 0
assert(l == h && h == 0);
h = 0;
l = 1;
mask = 0x55;
}
assert(l > h);
pDst_block->set_low_color(static_cast<uint16_t>(l));
pDst_block->set_high_color(static_cast<uint16_t>(h));
}
pDst_block->m_selectors[0] = mask;
pDst_block->m_selectors[1] = mask;
pDst_block->m_selectors[2] = mask;
pDst_block->m_selectors[3] = mask;
return;
}
pDst_block->m_selectors[0] = pSelectors_xlat_256[pSelector->m_selectors[0]];
pDst_block->m_selectors[1] = pSelectors_xlat_256[pSelector->m_selectors[1]];
pDst_block->m_selectors[2] = pSelectors_xlat_256[pSelector->m_selectors[2]];
pDst_block->m_selectors[3] = pSelectors_xlat_256[pSelector->m_selectors[3]];
#endif
}
#if BASISD_ENABLE_DEBUG_FLAGS
static void convert_etc1s_to_dxt1_vis(dxt1_block* pDst_block, const endpoint* pEndpoints, const selector* pSelector, bool use_threecolor_blocks)
{
convert_etc1s_to_dxt1(pDst_block, pEndpoints, pSelector, use_threecolor_blocks);
if (g_debug_flags & cDebugFlagVisBC1Sels)
{
uint32_t l = dxt1_block::pack_unscaled_color(31, 63, 31);
uint32_t h = dxt1_block::pack_unscaled_color(0, 0, 0);
pDst_block->set_low_color(static_cast<uint16_t>(l));
pDst_block->set_high_color(static_cast<uint16_t>(h));
}
else if (g_debug_flags & cDebugFlagVisBC1Endpoints)
{
for (uint32_t y = 0; y < 4; y++)
for (uint32_t x = 0; x < 4; x++)
pDst_block->set_selector(x, y, (y < 2) ? 0 : 1);
}
}
#endif
#endif
#if BASISD_SUPPORT_FXT1
struct fxt1_block
{
union
{
struct
{
uint64_t m_t00 : 2;
uint64_t m_t01 : 2;
uint64_t m_t02 : 2;
uint64_t m_t03 : 2;
uint64_t m_t04 : 2;
uint64_t m_t05 : 2;
uint64_t m_t06 : 2;
uint64_t m_t07 : 2;
uint64_t m_t08 : 2;
uint64_t m_t09 : 2;
uint64_t m_t10 : 2;
uint64_t m_t11 : 2;
uint64_t m_t12 : 2;
uint64_t m_t13 : 2;
uint64_t m_t14 : 2;
uint64_t m_t15 : 2;
uint64_t m_t16 : 2;
uint64_t m_t17 : 2;
uint64_t m_t18 : 2;
uint64_t m_t19 : 2;
uint64_t m_t20 : 2;
uint64_t m_t21 : 2;
uint64_t m_t22 : 2;
uint64_t m_t23 : 2;
uint64_t m_t24 : 2;
uint64_t m_t25 : 2;
uint64_t m_t26 : 2;
uint64_t m_t27 : 2;
uint64_t m_t28 : 2;
uint64_t m_t29 : 2;
uint64_t m_t30 : 2;
uint64_t m_t31 : 2;
} m_lo;
uint64_t m_lo_bits;
uint8_t m_sels[8];
};
union
{
struct
{
#ifdef BASISU_USE_ORIGINAL_3DFX_FXT1_ENCODING
uint64_t m_b1 : 5;
uint64_t m_g1 : 5;
uint64_t m_r1 : 5;
uint64_t m_b0 : 5;
uint64_t m_g0 : 5;
uint64_t m_r0 : 5;
uint64_t m_b3 : 5;
uint64_t m_g3 : 5;
uint64_t m_r3 : 5;
uint64_t m_b2 : 5;
uint64_t m_g2 : 5;
uint64_t m_r2 : 5;
#else
uint64_t m_b0 : 5;
uint64_t m_g0 : 5;
uint64_t m_r0 : 5;
uint64_t m_b1 : 5;
uint64_t m_g1 : 5;
uint64_t m_r1 : 5;
uint64_t m_b2 : 5;
uint64_t m_g2 : 5;
uint64_t m_r2 : 5;
uint64_t m_b3 : 5;
uint64_t m_g3 : 5;
uint64_t m_r3 : 5;
#endif
uint64_t m_alpha : 1;
uint64_t m_glsb : 2;
uint64_t m_mode : 1;
} m_hi;
uint64_t m_hi_bits;
};
};
static uint8_t conv_dxt1_to_fxt1_sels(uint32_t sels)
{
static uint8_t s_conv_table[16] = { 0, 3, 1, 2, 12, 15, 13, 14, 4, 7, 5, 6, 8, 11, 9, 10 };
return s_conv_table[sels & 15] | (s_conv_table[sels >> 4] << 4);
}
static void convert_etc1s_to_fxt1(void *pDst, const endpoint *pEndpoints, const selector *pSelectors, uint32_t fxt1_subblock)
{
fxt1_block* pBlock = static_cast<fxt1_block*>(pDst);
// CC_MIXED is basically DXT1 with different encoding tricks.
// So transcode ETC1S to DXT1, then transcode that to FXT1 which is easy and nearly lossless.
// (It's not completely lossless because FXT1 rounds in its color lerps while DXT1 doesn't, but it should be good enough.)
dxt1_block blk;
convert_etc1s_to_dxt1(&blk, pEndpoints, pSelectors, false);
const uint32_t l = blk.get_low_color();
const uint32_t h = blk.get_high_color();
color32 color0((l >> 11) & 31, (l >> 5) & 63, l & 31, 255);
color32 color1((h >> 11) & 31, (h >> 5) & 63, h & 31, 255);
uint32_t g0 = color0.g & 1;
uint32_t g1 = color1.g & 1;
color0.g >>= 1;
color1.g >>= 1;
blk.m_selectors[0] = conv_dxt1_to_fxt1_sels(blk.m_selectors[0]);
blk.m_selectors[1] = conv_dxt1_to_fxt1_sels(blk.m_selectors[1]);
blk.m_selectors[2] = conv_dxt1_to_fxt1_sels(blk.m_selectors[2]);
blk.m_selectors[3] = conv_dxt1_to_fxt1_sels(blk.m_selectors[3]);
if ((blk.get_selector(0, 0) >> 1) != (g0 ^ g1))
{
std::swap(color0, color1);
std::swap(g0, g1);
blk.m_selectors[0] ^= 0xFF;
blk.m_selectors[1] ^= 0xFF;
blk.m_selectors[2] ^= 0xFF;
blk.m_selectors[3] ^= 0xFF;
}
if (fxt1_subblock == 0)
{
pBlock->m_hi.m_mode = 1;
pBlock->m_hi.m_alpha = 0;
pBlock->m_hi.m_glsb = g1 | (g1 << 1);
pBlock->m_hi.m_r0 = color0.r;
pBlock->m_hi.m_g0 = color0.g;
pBlock->m_hi.m_b0 = color0.b;
pBlock->m_hi.m_r1 = color1.r;
pBlock->m_hi.m_g1 = color1.g;
pBlock->m_hi.m_b1 = color1.b;
pBlock->m_hi.m_r2 = color0.r;
pBlock->m_hi.m_g2 = color0.g;
pBlock->m_hi.m_b2 = color0.b;
pBlock->m_hi.m_r3 = color1.r;
pBlock->m_hi.m_g3 = color1.g;
pBlock->m_hi.m_b3 = color1.b;
pBlock->m_sels[0] = blk.m_selectors[0];
pBlock->m_sels[1] = blk.m_selectors[1];
pBlock->m_sels[2] = blk.m_selectors[2];
pBlock->m_sels[3] = blk.m_selectors[3];
static const uint8_t s_border_dup[4] = { 0, 85, 170, 255 };
pBlock->m_sels[4] = s_border_dup[blk.m_selectors[0] >> 6];
pBlock->m_sels[5] = s_border_dup[blk.m_selectors[1] >> 6];
pBlock->m_sels[6] = s_border_dup[blk.m_selectors[2] >> 6];
pBlock->m_sels[7] = s_border_dup[blk.m_selectors[3] >> 6];
}
else
{
pBlock->m_hi.m_glsb = (pBlock->m_hi.m_glsb & 1) | (g1 << 1);
pBlock->m_hi.m_r2 = color0.r;
pBlock->m_hi.m_g2 = color0.g;
pBlock->m_hi.m_b2 = color0.b;
pBlock->m_hi.m_r3 = color1.r;
pBlock->m_hi.m_g3 = color1.g;
pBlock->m_hi.m_b3 = color1.b;
pBlock->m_sels[4] = blk.m_selectors[0];
pBlock->m_sels[5] = blk.m_selectors[1];
pBlock->m_sels[6] = blk.m_selectors[2];
pBlock->m_sels[7] = blk.m_selectors[3];
}
}
#endif // BASISD_SUPPORT_FXT1
#if BASISD_SUPPORT_DXT5A
static dxt_selector_range s_dxt5a_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
};
const uint32_t NUM_DXT5A_SELECTOR_RANGES = sizeof(s_dxt5a_selector_ranges) / sizeof(s_dxt5a_selector_ranges[0]);
struct etc1_g_to_dxt5a_conversion
{
uint8_t m_lo, m_hi;
uint16_t m_trans;
};
static etc1_g_to_dxt5a_conversion g_etc1_g_to_dxt5a[32 * 8][NUM_DXT5A_SELECTOR_RANGES] =
{
{ { 8, 0, 393 },{ 8, 0, 392 },{ 2, 0, 9 },{ 2, 0, 8 }, }, { { 6, 16, 710 },{ 16, 6, 328 },{ 0, 10, 96 },{ 10, 6, 8 }, },
{ { 28, 5, 1327 },{ 24, 14, 328 },{ 8, 18, 96 },{ 18, 14, 8 }, }, { { 36, 13, 1327 },{ 32, 22, 328 },{ 16, 26, 96 },{ 26, 22, 8 }, },
{ { 45, 22, 1327 },{ 41, 31, 328 },{ 25, 35, 96 },{ 35, 31, 8 }, }, { { 53, 30, 1327 },{ 49, 39, 328 },{ 33, 43, 96 },{ 43, 39, 8 }, },
{ { 61, 38, 1327 },{ 57, 47, 328 },{ 41, 51, 96 },{ 51, 47, 8 }, }, { { 69, 46, 1327 },{ 65, 55, 328 },{ 49, 59, 96 },{ 59, 55, 8 }, },
{ { 78, 55, 1327 },{ 74, 64, 328 },{ 58, 68, 96 },{ 68, 64, 8 }, }, { { 86, 63, 1327 },{ 82, 72, 328 },{ 66, 76, 96 },{ 76, 72, 8 }, },
{ { 94, 71, 1327 },{ 90, 80, 328 },{ 74, 84, 96 },{ 84, 80, 8 }, }, { { 102, 79, 1327 },{ 98, 88, 328 },{ 82, 92, 96 },{ 92, 88, 8 }, },
{ { 111, 88, 1327 },{ 107, 97, 328 },{ 91, 101, 96 },{ 101, 97, 8 }, }, { { 119, 96, 1327 },{ 115, 105, 328 },{ 99, 109, 96 },{ 109, 105, 8 }, },
{ { 127, 104, 1327 },{ 123, 113, 328 },{ 107, 117, 96 },{ 117, 113, 8 }, }, { { 135, 112, 1327 },{ 131, 121, 328 },{ 115, 125, 96 },{ 125, 121, 8 }, },
{ { 144, 121, 1327 },{ 140, 130, 328 },{ 124, 134, 96 },{ 134, 130, 8 }, }, { { 152, 129, 1327 },{ 148, 138, 328 },{ 132, 142, 96 },{ 142, 138, 8 }, },
{ { 160, 137, 1327 },{ 156, 146, 328 },{ 140, 150, 96 },{ 150, 146, 8 }, }, { { 168, 145, 1327 },{ 164, 154, 328 },{ 148, 158, 96 },{ 158, 154, 8 }, },
{ { 177, 154, 1327 },{ 173, 163, 328 },{ 157, 167, 96 },{ 167, 163, 8 }, }, { { 185, 162, 1327 },{ 181, 171, 328 },{ 165, 175, 96 },{ 175, 171, 8 }, },
{ { 193, 170, 1327 },{ 189, 179, 328 },{ 173, 183, 96 },{ 183, 179, 8 }, }, { { 201, 178, 1327 },{ 197, 187, 328 },{ 181, 191, 96 },{ 191, 187, 8 }, },
{ { 210, 187, 1327 },{ 206, 196, 328 },{ 190, 200, 96 },{ 200, 196, 8 }, }, { { 218, 195, 1327 },{ 214, 204, 328 },{ 198, 208, 96 },{ 208, 204, 8 }, },
{ { 226, 203, 1327 },{ 222, 212, 328 },{ 206, 216, 96 },{ 216, 212, 8 }, }, { { 234, 211, 1327 },{ 230, 220, 328 },{ 214, 224, 96 },{ 224, 220, 8 }, },
{ { 243, 220, 1327 },{ 239, 229, 328 },{ 223, 233, 96 },{ 233, 229, 8 }, }, { { 251, 228, 1327 },{ 247, 237, 328 },{ 231, 241, 96 },{ 241, 237, 8 }, },
{ { 239, 249, 3680 },{ 245, 249, 3648 },{ 239, 249, 96 },{ 249, 245, 8 }, }, { { 247, 253, 4040 },{ 255, 253, 8 },{ 247, 253, 456 },{ 255, 253, 8 }, },
{ { 5, 17, 566 },{ 5, 17, 560 },{ 5, 0, 9 },{ 5, 0, 8 }, }, { { 25, 0, 313 },{ 25, 3, 328 },{ 13, 0, 49 },{ 13, 3, 8 }, },
{ { 39, 0, 1329 },{ 33, 11, 328 },{ 11, 21, 70 },{ 21, 11, 8 }, }, { { 47, 7, 1329 },{ 41, 19, 328 },{ 29, 7, 33 },{ 29, 19, 8 }, },
{ { 50, 11, 239 },{ 50, 28, 328 },{ 38, 16, 33 },{ 38, 28, 8 }, }, { { 92, 13, 2423 },{ 58, 36, 328 },{ 46, 24, 33 },{ 46, 36, 8 }, },
{ { 100, 21, 2423 },{ 66, 44, 328 },{ 54, 32, 33 },{ 54, 44, 8 }, }, { { 86, 7, 1253 },{ 74, 52, 328 },{ 62, 40, 33 },{ 62, 52, 8 }, },
{ { 95, 16, 1253 },{ 83, 61, 328 },{ 71, 49, 33 },{ 71, 61, 8 }, }, { { 103, 24, 1253 },{ 91, 69, 328 },{ 79, 57, 33 },{ 79, 69, 8 }, },
{ { 111, 32, 1253 },{ 99, 77, 328 },{ 87, 65, 33 },{ 87, 77, 8 }, }, { { 119, 40, 1253 },{ 107, 85, 328 },{ 95, 73, 33 },{ 95, 85, 8 }, },
{ { 128, 49, 1253 },{ 116, 94, 328 },{ 104, 82, 33 },{ 104, 94, 8 }, }, { { 136, 57, 1253 },{ 124, 102, 328 },{ 112, 90, 33 },{ 112, 102, 8 }, },
{ { 144, 65, 1253 },{ 132, 110, 328 },{ 120, 98, 33 },{ 120, 110, 8 }, }, { { 152, 73, 1253 },{ 140, 118, 328 },{ 128, 106, 33 },{ 128, 118, 8 }, },
{ { 161, 82, 1253 },{ 149, 127, 328 },{ 137, 115, 33 },{ 137, 127, 8 }, }, { { 169, 90, 1253 },{ 157, 135, 328 },{ 145, 123, 33 },{ 145, 135, 8 }, },
{ { 177, 98, 1253 },{ 165, 143, 328 },{ 153, 131, 33 },{ 153, 143, 8 }, }, { { 185, 106, 1253 },{ 173, 151, 328 },{ 161, 139, 33 },{ 161, 151, 8 }, },
{ { 194, 115, 1253 },{ 182, 160, 328 },{ 170, 148, 33 },{ 170, 160, 8 }, }, { { 202, 123, 1253 },{ 190, 168, 328 },{ 178, 156, 33 },{ 178, 168, 8 }, },
{ { 210, 131, 1253 },{ 198, 176, 328 },{ 186, 164, 33 },{ 186, 176, 8 }, }, { { 218, 139, 1253 },{ 206, 184, 328 },{ 194, 172, 33 },{ 194, 184, 8 }, },
{ { 227, 148, 1253 },{ 215, 193, 328 },{ 203, 181, 33 },{ 203, 193, 8 }, }, { { 235, 156, 1253 },{ 223, 201, 328 },{ 211, 189, 33 },{ 211, 201, 8 }, },
{ { 243, 164, 1253 },{ 231, 209, 328 },{ 219, 197, 33 },{ 219, 209, 8 }, }, { { 183, 239, 867 },{ 239, 217, 328 },{ 227, 205, 33 },{ 227, 217, 8 }, },
{ { 254, 214, 1329 },{ 248, 226, 328 },{ 236, 214, 33 },{ 236, 226, 8 }, }, { { 222, 244, 3680 },{ 234, 244, 3648 },{ 244, 222, 33 },{ 244, 234, 8 }, },
{ { 230, 252, 3680 },{ 242, 252, 3648 },{ 252, 230, 33 },{ 252, 242, 8 }, }, { { 238, 250, 4040 },{ 255, 250, 8 },{ 238, 250, 456 },{ 255, 250, 8 }, },
{ { 9, 29, 566 },{ 9, 29, 560 },{ 9, 0, 9 },{ 9, 0, 8 }, }, { { 17, 37, 566 },{ 17, 37, 560 },{ 17, 0, 9 },{ 17, 0, 8 }, },
{ { 45, 0, 313 },{ 45, 0, 312 },{ 25, 0, 49 },{ 25, 7, 8 }, }, { { 14, 63, 2758 },{ 5, 53, 784 },{ 15, 33, 70 },{ 33, 15, 8 }, },
{ { 71, 6, 1329 },{ 72, 4, 1328 },{ 42, 4, 33 },{ 42, 24, 8 }, }, { { 70, 3, 239 },{ 70, 2, 232 },{ 50, 12, 33 },{ 50, 32, 8 }, },
{ { 0, 98, 2842 },{ 78, 10, 232 },{ 58, 20, 33 },{ 58, 40, 8 }, }, { { 97, 27, 1329 },{ 86, 18, 232 },{ 66, 28, 33 },{ 66, 48, 8 }, },
{ { 0, 94, 867 },{ 95, 27, 232 },{ 75, 37, 33 },{ 75, 57, 8 }, }, { { 8, 102, 867 },{ 103, 35, 232 },{ 83, 45, 33 },{ 83, 65, 8 }, },
{ { 12, 112, 867 },{ 111, 43, 232 },{ 91, 53, 33 },{ 91, 73, 8 }, }, { { 139, 2, 1253 },{ 119, 51, 232 },{ 99, 61, 33 },{ 99, 81, 8 }, },
{ { 148, 13, 1253 },{ 128, 60, 232 },{ 108, 70, 33 },{ 108, 90, 8 }, }, { { 156, 21, 1253 },{ 136, 68, 232 },{ 116, 78, 33 },{ 116, 98, 8 }, },
{ { 164, 29, 1253 },{ 144, 76, 232 },{ 124, 86, 33 },{ 124, 106, 8 }, }, { { 172, 37, 1253 },{ 152, 84, 232 },{ 132, 94, 33 },{ 132, 114, 8 }, },
{ { 181, 46, 1253 },{ 161, 93, 232 },{ 141, 103, 33 },{ 141, 123, 8 }, }, { { 189, 54, 1253 },{ 169, 101, 232 },{ 149, 111, 33 },{ 149, 131, 8 }, },
{ { 197, 62, 1253 },{ 177, 109, 232 },{ 157, 119, 33 },{ 157, 139, 8 }, }, { { 205, 70, 1253 },{ 185, 117, 232 },{ 165, 127, 33 },{ 165, 147, 8 }, },
{ { 214, 79, 1253 },{ 194, 126, 232 },{ 174, 136, 33 },{ 174, 156, 8 }, }, { { 222, 87, 1253 },{ 202, 134, 232 },{ 182, 144, 33 },{ 182, 164, 8 }, },
{ { 230, 95, 1253 },{ 210, 142, 232 },{ 190, 152, 33 },{ 190, 172, 8 }, }, { { 238, 103, 1253 },{ 218, 150, 232 },{ 198, 160, 33 },{ 198, 180, 8 }, },
{ { 247, 112, 1253 },{ 227, 159, 232 },{ 207, 169, 33 },{ 207, 189, 8 }, }, { { 255, 120, 1253 },{ 235, 167, 232 },{ 215, 177, 33 },{ 215, 197, 8 }, },
{ { 146, 243, 867 },{ 243, 175, 232 },{ 223, 185, 33 },{ 223, 205, 8 }, }, { { 184, 231, 3682 },{ 203, 251, 784 },{ 231, 193, 33 },{ 231, 213, 8 }, },
{ { 193, 240, 3682 },{ 222, 240, 3648 },{ 240, 202, 33 },{ 240, 222, 8 }, }, { { 255, 210, 169 },{ 230, 248, 3648 },{ 248, 210, 33 },{ 248, 230, 8 }, },
{ { 218, 238, 4040 },{ 255, 238, 8 },{ 218, 238, 456 },{ 255, 238, 8 }, }, { { 226, 246, 4040 },{ 255, 246, 8 },{ 226, 246, 456 },{ 255, 246, 8 }, },
{ { 13, 42, 566 },{ 13, 42, 560 },{ 13, 0, 9 },{ 13, 0, 8 }, }, { { 50, 0, 329 },{ 50, 0, 328 },{ 21, 0, 9 },{ 21, 0, 8 }, },
{ { 29, 58, 566 },{ 67, 2, 1352 },{ 3, 29, 70 },{ 29, 3, 8 }, }, { { 10, 79, 2758 },{ 76, 11, 1352 },{ 11, 37, 70 },{ 37, 11, 8 }, },
{ { 7, 75, 790 },{ 7, 75, 784 },{ 20, 46, 70 },{ 46, 20, 8 }, }, { { 15, 83, 790 },{ 97, 1, 1328 },{ 28, 54, 70 },{ 54, 28, 8 }, },
{ { 101, 7, 1329 },{ 105, 9, 1328 },{ 62, 0, 39 },{ 62, 36, 8 }, }, { { 99, 1, 239 },{ 99, 3, 232 },{ 1, 71, 98 },{ 70, 44, 8 }, },
{ { 107, 11, 239 },{ 108, 12, 232 },{ 10, 80, 98 },{ 79, 53, 8 }, }, { { 115, 19, 239 },{ 116, 20, 232 },{ 18, 88, 98 },{ 87, 61, 8 }, },
{ { 123, 27, 239 },{ 124, 28, 232 },{ 26, 96, 98 },{ 95, 69, 8 }, }, { { 131, 35, 239 },{ 132, 36, 232 },{ 34, 104, 98 },{ 103, 77, 8 }, },
{ { 140, 44, 239 },{ 141, 45, 232 },{ 43, 113, 98 },{ 112, 86, 8 }, }, { { 148, 52, 239 },{ 149, 53, 232 },{ 51, 121, 98 },{ 120, 94, 8 }, },
{ { 156, 60, 239 },{ 157, 61, 232 },{ 59, 129, 98 },{ 128, 102, 8 }, }, { { 164, 68, 239 },{ 165, 69, 232 },{ 67, 137, 98 },{ 136, 110, 8 }, },
{ { 173, 77, 239 },{ 174, 78, 232 },{ 76, 146, 98 },{ 145, 119, 8 }, }, { { 181, 85, 239 },{ 182, 86, 232 },{ 84, 154, 98 },{ 153, 127, 8 }, },
{ { 189, 93, 239 },{ 190, 94, 232 },{ 92, 162, 98 },{ 161, 135, 8 }, }, { { 197, 101, 239 },{ 198, 102, 232 },{ 100, 170, 98 },{ 169, 143, 8 }, },
{ { 206, 110, 239 },{ 207, 111, 232 },{ 109, 179, 98 },{ 178, 152, 8 }, }, { { 214, 118, 239 },{ 215, 119, 232 },{ 117, 187, 98 },{ 186, 160, 8 }, },
{ { 222, 126, 239 },{ 223, 127, 232 },{ 125, 195, 98 },{ 194, 168, 8 }, }, { { 230, 134, 239 },{ 231, 135, 232 },{ 133, 203, 98 },{ 202, 176, 8 }, },
{ { 239, 143, 239 },{ 240, 144, 232 },{ 142, 212, 98 },{ 211, 185, 8 }, }, { { 247, 151, 239 },{ 180, 248, 784 },{ 150, 220, 98 },{ 219, 193, 8 }, },
{ { 159, 228, 3682 },{ 201, 227, 3648 },{ 158, 228, 98 },{ 227, 201, 8 }, }, { { 181, 249, 3928 },{ 209, 235, 3648 },{ 166, 236, 98 },{ 235, 209, 8 }, },
{ { 255, 189, 169 },{ 218, 244, 3648 },{ 175, 245, 98 },{ 244, 218, 8 }, }, { { 197, 226, 4040 },{ 226, 252, 3648 },{ 183, 253, 98 },{ 252, 226, 8 }, },
{ { 205, 234, 4040 },{ 255, 234, 8 },{ 205, 234, 456 },{ 255, 234, 8 }, }, { { 213, 242, 4040 },{ 255, 242, 8 },{ 213, 242, 456 },{ 255, 242, 8 }, },
{ { 18, 60, 566 },{ 18, 60, 560 },{ 18, 0, 9 },{ 18, 0, 8 }, }, { { 26, 68, 566 },{ 26, 68, 560 },{ 26, 0, 9 },{ 26, 0, 8 }, },
{ { 34, 76, 566 },{ 34, 76, 560 },{ 34, 0, 9 },{ 34, 0, 8 }, }, { { 5, 104, 2758 },{ 98, 5, 1352 },{ 42, 0, 57 },{ 42, 6, 8 }, },
{ { 92, 0, 313 },{ 93, 1, 312 },{ 15, 51, 70 },{ 51, 15, 8 }, }, { { 3, 101, 790 },{ 3, 101, 784 },{ 0, 59, 88 },{ 59, 23, 8 }, },
{ { 14, 107, 790 },{ 11, 109, 784 },{ 31, 67, 70 },{ 67, 31, 8 }, }, { { 19, 117, 790 },{ 19, 117, 784 },{ 39, 75, 70 },{ 75, 39, 8 }, },
{ { 28, 126, 790 },{ 28, 126, 784 },{ 83, 5, 33 },{ 84, 48, 8 }, }, { { 132, 0, 239 },{ 36, 134, 784 },{ 91, 13, 33 },{ 92, 56, 8 }, },
{ { 142, 4, 239 },{ 44, 142, 784 },{ 99, 21, 33 },{ 100, 64, 8 }, }, { { 150, 12, 239 },{ 52, 150, 784 },{ 107, 29, 33 },{ 108, 72, 8 }, },
{ { 159, 21, 239 },{ 61, 159, 784 },{ 116, 38, 33 },{ 117, 81, 8 }, }, { { 167, 29, 239 },{ 69, 167, 784 },{ 124, 46, 33 },{ 125, 89, 8 }, },
{ { 175, 37, 239 },{ 77, 175, 784 },{ 132, 54, 33 },{ 133, 97, 8 }, }, { { 183, 45, 239 },{ 85, 183, 784 },{ 140, 62, 33 },{ 141, 105, 8 }, },
{ { 192, 54, 239 },{ 94, 192, 784 },{ 149, 71, 33 },{ 150, 114, 8 }, }, { { 200, 62, 239 },{ 102, 200, 784 },{ 157, 79, 33 },{ 158, 122, 8 }, },
{ { 208, 70, 239 },{ 110, 208, 784 },{ 165, 87, 33 },{ 166, 130, 8 }, }, { { 216, 78, 239 },{ 118, 216, 784 },{ 173, 95, 33 },{ 174, 138, 8 }, },
{ { 225, 87, 239 },{ 127, 225, 784 },{ 182, 104, 33 },{ 183, 147, 8 }, }, { { 233, 95, 239 },{ 135, 233, 784 },{ 190, 112, 33 },{ 191, 155, 8 }, },
{ { 241, 103, 239 },{ 143, 241, 784 },{ 198, 120, 33 },{ 199, 163, 8 }, }, { { 111, 208, 3682 },{ 151, 249, 784 },{ 206, 128, 33 },{ 207, 171, 8 }, },
{ { 120, 217, 3682 },{ 180, 216, 3648 },{ 215, 137, 33 },{ 216, 180, 8 }, }, { { 128, 225, 3682 },{ 188, 224, 3648 },{ 223, 145, 33 },{ 224, 188, 8 }, },
{ { 155, 253, 3928 },{ 196, 232, 3648 },{ 231, 153, 33 },{ 232, 196, 8 }, }, { { 144, 241, 3682 },{ 204, 240, 3648 },{ 239, 161, 33 },{ 240, 204, 8 }, },
{ { 153, 250, 3682 },{ 213, 249, 3648 },{ 248, 170, 33 },{ 249, 213, 8 }, }, { { 179, 221, 4040 },{ 255, 221, 8 },{ 179, 221, 456 },{ 255, 221, 8 }, },
{ { 187, 229, 4040 },{ 255, 229, 8 },{ 187, 229, 456 },{ 255, 229, 8 }, }, { { 195, 237, 4040 },{ 255, 237, 8 },{ 195, 237, 456 },{ 255, 237, 8 }, },
{ { 24, 80, 566 },{ 24, 80, 560 },{ 24, 0, 9 },{ 24, 0, 8 }, }, { { 32, 88, 566 },{ 32, 88, 560 },{ 32, 0, 9 },{ 32, 0, 8 }, },
{ { 40, 96, 566 },{ 40, 96, 560 },{ 40, 0, 9 },{ 40, 0, 8 }, }, { { 48, 104, 566 },{ 48, 104, 560 },{ 48, 0, 9 },{ 48, 0, 8 }, },
{ { 9, 138, 2758 },{ 130, 7, 1352 },{ 9, 57, 70 },{ 57, 9, 8 }, }, { { 119, 0, 313 },{ 120, 0, 312 },{ 17, 65, 70 },{ 65, 17, 8 }, },
{ { 0, 128, 784 },{ 128, 6, 312 },{ 25, 73, 70 },{ 73, 25, 8 }, }, { { 6, 137, 790 },{ 5, 136, 784 },{ 33, 81, 70 },{ 81, 33, 8 }, },
{ { 42, 171, 2758 },{ 14, 145, 784 },{ 42, 90, 70 },{ 90, 42, 8 }, }, { { 50, 179, 2758 },{ 22, 153, 784 },{ 50, 98, 70 },{ 98, 50, 8 }, },
{ { 58, 187, 2758 },{ 30, 161, 784 },{ 58, 106, 70 },{ 106, 58, 8 }, }, { { 191, 18, 1329 },{ 38, 169, 784 },{ 112, 9, 33 },{ 114, 66, 8 }, },
{ { 176, 0, 239 },{ 47, 178, 784 },{ 121, 18, 33 },{ 123, 75, 8 }, }, { { 187, 1, 239 },{ 55, 186, 784 },{ 129, 26, 33 },{ 131, 83, 8 }, },
{ { 195, 10, 239 },{ 63, 194, 784 },{ 137, 34, 33 },{ 139, 91, 8 }, }, { { 203, 18, 239 },{ 71, 202, 784 },{ 145, 42, 33 },{ 147, 99, 8 }, },
{ { 212, 27, 239 },{ 80, 211, 784 },{ 154, 51, 33 },{ 156, 108, 8 }, }, { { 220, 35, 239 },{ 88, 219, 784 },{ 162, 59, 33 },{ 164, 116, 8 }, },
{ { 228, 43, 239 },{ 96, 227, 784 },{ 170, 67, 33 },{ 172, 124, 8 }, }, { { 236, 51, 239 },{ 104, 235, 784 },{ 178, 75, 33 },{ 180, 132, 8 }, },
{ { 245, 60, 239 },{ 113, 244, 784 },{ 187, 84, 33 },{ 189, 141, 8 }, }, { { 91, 194, 3680 },{ 149, 197, 3648 },{ 195, 92, 33 },{ 197, 149, 8 }, },
{ { 99, 202, 3680 },{ 157, 205, 3648 },{ 203, 100, 33 },{ 205, 157, 8 }, }, { { 107, 210, 3680 },{ 165, 213, 3648 },{ 211, 108, 33 },{ 213, 165, 8 }, },
{ { 119, 249, 3928 },{ 174, 222, 3648 },{ 220, 117, 33 },{ 222, 174, 8 }, }, { { 127, 255, 856 },{ 182, 230, 3648 },{ 228, 125, 33 },{ 230, 182, 8 }, },
{ { 255, 135, 169 },{ 190, 238, 3648 },{ 236, 133, 33 },{ 238, 190, 8 }, }, { { 140, 243, 3680 },{ 198, 246, 3648 },{ 244, 141, 33 },{ 246, 198, 8 }, },
{ { 151, 207, 4040 },{ 255, 207, 8 },{ 151, 207, 456 },{ 255, 207, 8 }, }, { { 159, 215, 4040 },{ 255, 215, 8 },{ 159, 215, 456 },{ 255, 215, 8 }, },
{ { 167, 223, 4040 },{ 255, 223, 8 },{ 167, 223, 456 },{ 255, 223, 8 }, }, { { 175, 231, 4040 },{ 255, 231, 8 },{ 175, 231, 456 },{ 255, 231, 8 }, },
{ { 33, 106, 566 },{ 33, 106, 560 },{ 33, 0, 9 },{ 33, 0, 8 }, }, { { 41, 114, 566 },{ 41, 114, 560 },{ 41, 0, 9 },{ 41, 0, 8 }, },
{ { 49, 122, 566 },{ 49, 122, 560 },{ 49, 0, 9 },{ 49, 0, 8 }, }, { { 57, 130, 566 },{ 57, 130, 560 },{ 57, 0, 9 },{ 57, 0, 8 }, },
{ { 66, 139, 566 },{ 66, 139, 560 },{ 66, 0, 9 },{ 66, 0, 8 }, }, { { 74, 147, 566 },{ 170, 7, 1352 },{ 8, 74, 70 },{ 74, 8, 8 }, },
{ { 152, 0, 313 },{ 178, 15, 1352 },{ 0, 82, 80 },{ 82, 16, 8 }, }, { { 162, 0, 313 },{ 186, 23, 1352 },{ 24, 90, 70 },{ 90, 24, 8 }, },
{ { 0, 171, 784 },{ 195, 32, 1352 },{ 33, 99, 70 },{ 99, 33, 8 }, }, { { 6, 179, 790 },{ 203, 40, 1352 },{ 41, 107, 70 },{ 107, 41, 8 }, },
{ { 15, 187, 790 },{ 211, 48, 1352 },{ 115, 0, 41 },{ 115, 49, 8 }, }, { { 61, 199, 710 },{ 219, 56, 1352 },{ 57, 123, 70 },{ 123, 57, 8 }, },
{ { 70, 208, 710 },{ 228, 65, 1352 },{ 66, 132, 70 },{ 132, 66, 8 }, }, { { 78, 216, 710 },{ 236, 73, 1352 },{ 74, 140, 70 },{ 140, 74, 8 }, },
{ { 86, 224, 710 },{ 244, 81, 1352 },{ 145, 7, 33 },{ 148, 82, 8 }, }, { { 222, 8, 233 },{ 252, 89, 1352 },{ 153, 15, 33 },{ 156, 90, 8 }, },
{ { 235, 0, 239 },{ 241, 101, 328 },{ 166, 6, 39 },{ 165, 99, 8 }, }, { { 32, 170, 3680 },{ 249, 109, 328 },{ 0, 175, 98 },{ 173, 107, 8 }, },
{ { 40, 178, 3680 },{ 115, 181, 3648 },{ 8, 183, 98 },{ 181, 115, 8 }, }, { { 48, 186, 3680 },{ 123, 189, 3648 },{ 16, 191, 98 },{ 189, 123, 8 }, },
{ { 57, 195, 3680 },{ 132, 198, 3648 },{ 25, 200, 98 },{ 198, 132, 8 }, }, { { 67, 243, 3928 },{ 140, 206, 3648 },{ 33, 208, 98 },{ 206, 140, 8 }, },
{ { 76, 251, 3928 },{ 148, 214, 3648 },{ 41, 216, 98 },{ 214, 148, 8 }, }, { { 86, 255, 856 },{ 156, 222, 3648 },{ 49, 224, 98 },{ 222, 156, 8 }, },
{ { 255, 93, 169 },{ 165, 231, 3648 },{ 58, 233, 98 },{ 231, 165, 8 }, }, { { 98, 236, 3680 },{ 173, 239, 3648 },{ 66, 241, 98 },{ 239, 173, 8 }, },
{ { 108, 181, 4040 },{ 181, 247, 3648 },{ 74, 249, 98 },{ 247, 181, 8 }, }, { { 116, 189, 4040 },{ 255, 189, 8 },{ 116, 189, 456 },{ 255, 189, 8 }, },
{ { 125, 198, 4040 },{ 255, 198, 8 },{ 125, 198, 456 },{ 255, 198, 8 }, }, { { 133, 206, 4040 },{ 255, 206, 8 },{ 133, 206, 456 },{ 255, 206, 8 }, },
{ { 141, 214, 4040 },{ 255, 214, 8 },{ 141, 214, 456 },{ 255, 214, 8 }, }, { { 149, 222, 4040 },{ 255, 222, 8 },{ 149, 222, 456 },{ 255, 222, 8 }, },
{ { 47, 183, 566 },{ 47, 183, 560 },{ 47, 0, 9 },{ 47, 0, 8 }, }, { { 55, 191, 566 },{ 55, 191, 560 },{ 55, 0, 9 },{ 55, 0, 8 }, },
{ { 63, 199, 566 },{ 63, 199, 560 },{ 63, 0, 9 },{ 63, 0, 8 }, }, { { 71, 207, 566 },{ 71, 207, 560 },{ 71, 0, 9 },{ 71, 0, 8 }, },
{ { 80, 216, 566 },{ 80, 216, 560 },{ 80, 0, 9 },{ 80, 0, 8 }, }, { { 88, 224, 566 },{ 88, 224, 560 },{ 88, 0, 9 },{ 88, 0, 8 }, },
{ { 3, 233, 710 },{ 3, 233, 704 },{ 2, 96, 70 },{ 96, 2, 8 }, }, { { 11, 241, 710 },{ 11, 241, 704 },{ 10, 104, 70 },{ 104, 10, 8 }, },
{ { 20, 250, 710 },{ 20, 250, 704 },{ 19, 113, 70 },{ 113, 19, 8 }, }, { { 27, 121, 3654 },{ 27, 121, 3648 },{ 27, 121, 70 },{ 121, 27, 8 }, },
{ { 35, 129, 3654 },{ 35, 129, 3648 },{ 35, 129, 70 },{ 129, 35, 8 }, }, { { 43, 137, 3654 },{ 43, 137, 3648 },{ 43, 137, 70 },{ 137, 43, 8 }, },
{ { 52, 146, 3654 },{ 52, 146, 3648 },{ 52, 146, 70 },{ 146, 52, 8 }, }, { { 60, 154, 3654 },{ 60, 154, 3648 },{ 60, 154, 70 },{ 154, 60, 8 }, },
{ { 68, 162, 3654 },{ 68, 162, 3648 },{ 68, 162, 70 },{ 162, 68, 8 }, }, { { 76, 170, 3654 },{ 76, 170, 3648 },{ 76, 170, 70 },{ 170, 76, 8 }, },
{ { 85, 179, 3654 },{ 85, 179, 3648 },{ 85, 179, 70 },{ 179, 85, 8 }, }, { { 93, 187, 3654 },{ 93, 187, 3648 },{ 93, 187, 70 },{ 187, 93, 8 }, },
{ { 101, 195, 3654 },{ 101, 195, 3648 },{ 101, 195, 70 },{ 195, 101, 8 }, }, { { 109, 203, 3654 },{ 109, 203, 3648 },{ 109, 203, 70 },{ 203, 109, 8 }, },
{ { 118, 212, 3654 },{ 118, 212, 3648 },{ 118, 212, 70 },{ 212, 118, 8 }, }, { { 126, 220, 3654 },{ 126, 220, 3648 },{ 126, 220, 70 },{ 220, 126, 8 }, },
{ { 134, 228, 3654 },{ 134, 228, 3648 },{ 134, 228, 70 },{ 228, 134, 8 }, }, { { 5, 236, 3680 },{ 142, 236, 3648 },{ 5, 236, 96 },{ 236, 142, 8 }, },
{ { 14, 245, 3680 },{ 151, 245, 3648 },{ 14, 245, 96 },{ 245, 151, 8 }, }, { { 23, 159, 4040 },{ 159, 253, 3648 },{ 23, 159, 456 },{ 253, 159, 8 }, },
{ { 31, 167, 4040 },{ 255, 167, 8 },{ 31, 167, 456 },{ 255, 167, 8 }, }, { { 39, 175, 4040 },{ 255, 175, 8 },{ 39, 175, 456 },{ 255, 175, 8 }, },
{ { 48, 184, 4040 },{ 255, 184, 8 },{ 48, 184, 456 },{ 255, 184, 8 }, }, { { 56, 192, 4040 },{ 255, 192, 8 },{ 56, 192, 456 },{ 255, 192, 8 }, },
{ { 64, 200, 4040 },{ 255, 200, 8 },{ 64, 200, 456 },{ 255, 200, 8 }, },{ { 72, 208, 4040 },{ 255, 208, 8 },{ 72, 208, 456 },{ 255, 208, 8 }, },
};
struct dxt5a_block
{
uint8_t m_endpoints[2];
enum { cTotalSelectorBytes = 6 };
uint8_t m_selectors[cTotalSelectorBytes];
inline void clear()
{
basisu::clear_obj(*this);
}
inline uint32_t get_low_alpha() const
{
return m_endpoints[0];
}
inline uint32_t get_high_alpha() const
{
return m_endpoints[1];
}
inline void set_low_alpha(uint32_t i)
{
assert(i <= UINT8_MAX);
m_endpoints[0] = static_cast<uint8_t>(i);
}
inline void set_high_alpha(uint32_t i)
{
assert(i <= UINT8_MAX);
m_endpoints[1] = static_cast<uint8_t>(i);
}
inline bool is_alpha6_block() const { return get_low_alpha() <= get_high_alpha(); }
uint32_t get_endpoints_as_word() const { return m_endpoints[0] | (m_endpoints[1] << 8); }
uint32_t get_selectors_as_word(uint32_t index) { assert(index < 3); return m_selectors[index * 2] | (m_selectors[index * 2 + 1] << 8); }
inline uint32_t get_selector(uint32_t x, uint32_t y) const
{
assert((x < 4U) && (y < 4U));
uint32_t selector_index = (y * 4) + x;
uint32_t bit_index = selector_index * cDXT5SelectorBits;
uint32_t byte_index = bit_index >> 3;
uint32_t bit_ofs = bit_index & 7;
uint32_t v = m_selectors[byte_index];
if (byte_index < (cTotalSelectorBytes - 1))
v |= (m_selectors[byte_index + 1] << 8);
return (v >> bit_ofs) & 7;
}
inline void set_selector(uint32_t x, uint32_t y, uint32_t val)
{
assert((x < 4U) && (y < 4U) && (val < 8U));
uint32_t selector_index = (y * 4) + x;
uint32_t bit_index = selector_index * cDXT5SelectorBits;
uint32_t byte_index = bit_index >> 3;
uint32_t bit_ofs = bit_index & 7;
uint32_t v = m_selectors[byte_index];
if (byte_index < (cTotalSelectorBytes - 1))
v |= (m_selectors[byte_index + 1] << 8);
v &= (~(7 << bit_ofs));
v |= (val << bit_ofs);
m_selectors[byte_index] = static_cast<uint8_t>(v);
if (byte_index < (cTotalSelectorBytes - 1))
m_selectors[byte_index + 1] = static_cast<uint8_t>(v >> 8);
}
enum { cMaxSelectorValues = 8 };
static uint32_t get_block_values6(color32* pDst, uint32_t l, uint32_t h)
{
pDst[0].a = static_cast<uint8_t>(l);
pDst[1].a = static_cast<uint8_t>(h);
pDst[2].a = static_cast<uint8_t>((l * 4 + h) / 5);
pDst[3].a = static_cast<uint8_t>((l * 3 + h * 2) / 5);
pDst[4].a = static_cast<uint8_t>((l * 2 + h * 3) / 5);
pDst[5].a = static_cast<uint8_t>((l + h * 4) / 5);
pDst[6].a = 0;
pDst[7].a = 255;
return 6;
}
static uint32_t get_block_values8(color32* pDst, uint32_t l, uint32_t h)
{
pDst[0].a = static_cast<uint8_t>(l);
pDst[1].a = static_cast<uint8_t>(h);
pDst[2].a = static_cast<uint8_t>((l * 6 + h) / 7);
pDst[3].a = static_cast<uint8_t>((l * 5 + h * 2) / 7);
pDst[4].a = static_cast<uint8_t>((l * 4 + h * 3) / 7);
pDst[5].a = static_cast<uint8_t>((l * 3 + h * 4) / 7);
pDst[6].a = static_cast<uint8_t>((l * 2 + h * 5) / 7);
pDst[7].a = static_cast<uint8_t>((l + h * 6) / 7);
return 8;
}
static uint32_t get_block_values(color32* pDst, uint32_t l, uint32_t h)
{
if (l > h)
return get_block_values8(pDst, l, h);
else
return get_block_values6(pDst, l, h);
}
};
static void convert_etc1s_to_dxt5a(dxt5a_block* pDst_block, const endpoint* pEndpoints, const selector* pSelector)
{
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r;
decoder_etc_block::get_block_color5_r(base_color, inten_table, low_selector, r);
pDst_block->set_low_alpha(r);
pDst_block->set_high_alpha(r);
pDst_block->m_selectors[0] = 0;
pDst_block->m_selectors[1] = 0;
pDst_block->m_selectors[2] = 0;
pDst_block->m_selectors[3] = 0;
pDst_block->m_selectors[4] = 0;
pDst_block->m_selectors[5] = 0;
return;
}
else if (pSelector->m_num_unique_selectors == 2)
{
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[low_selector].r;
const uint32_t r1 = block_colors[high_selector].r;
pDst_block->set_low_alpha(r0);
pDst_block->set_high_alpha(r1);
// TODO: Optimize this
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
pDst_block->set_selector(x, y, (s == high_selector) ? 1 : 0);
}
}
return;
}
uint32_t selector_range_table = 0;
for (selector_range_table = 0; selector_range_table < NUM_DXT5A_SELECTOR_RANGES; selector_range_table++)
if ((low_selector == s_dxt5a_selector_ranges[selector_range_table].m_low) && (high_selector == s_dxt5a_selector_ranges[selector_range_table].m_high))
break;
if (selector_range_table >= NUM_DXT5A_SELECTOR_RANGES)
selector_range_table = 0;
const etc1_g_to_dxt5a_conversion* pTable_entry = &g_etc1_g_to_dxt5a[base_color.r + inten_table * 32][selector_range_table];
pDst_block->set_low_alpha(pTable_entry->m_lo);
pDst_block->set_high_alpha(pTable_entry->m_hi);
// TODO: Optimize this (like ETC1->BC1)
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t ds = (pTable_entry->m_trans >> (s * 3)) & 7;
pDst_block->set_selector(x, y, ds);
}
}
}
#endif //BASISD_SUPPORT_DXT5A
// PVRTC
#if BASISD_SUPPORT_PVRTC1 || BASISD_SUPPORT_UASTC
static const uint16_t g_pvrtc_swizzle_table[256] =
{
0x0000, 0x0001, 0x0004, 0x0005, 0x0010, 0x0011, 0x0014, 0x0015, 0x0040, 0x0041, 0x0044, 0x0045, 0x0050, 0x0051, 0x0054, 0x0055, 0x0100, 0x0101, 0x0104, 0x0105, 0x0110, 0x0111, 0x0114, 0x0115, 0x0140, 0x0141, 0x0144, 0x0145, 0x0150, 0x0151, 0x0154, 0x0155,
0x0400, 0x0401, 0x0404, 0x0405, 0x0410, 0x0411, 0x0414, 0x0415, 0x0440, 0x0441, 0x0444, 0x0445, 0x0450, 0x0451, 0x0454, 0x0455, 0x0500, 0x0501, 0x0504, 0x0505, 0x0510, 0x0511, 0x0514, 0x0515, 0x0540, 0x0541, 0x0544, 0x0545, 0x0550, 0x0551, 0x0554, 0x0555,
0x1000, 0x1001, 0x1004, 0x1005, 0x1010, 0x1011, 0x1014, 0x1015, 0x1040, 0x1041, 0x1044, 0x1045, 0x1050, 0x1051, 0x1054, 0x1055, 0x1100, 0x1101, 0x1104, 0x1105, 0x1110, 0x1111, 0x1114, 0x1115, 0x1140, 0x1141, 0x1144, 0x1145, 0x1150, 0x1151, 0x1154, 0x1155,
0x1400, 0x1401, 0x1404, 0x1405, 0x1410, 0x1411, 0x1414, 0x1415, 0x1440, 0x1441, 0x1444, 0x1445, 0x1450, 0x1451, 0x1454, 0x1455, 0x1500, 0x1501, 0x1504, 0x1505, 0x1510, 0x1511, 0x1514, 0x1515, 0x1540, 0x1541, 0x1544, 0x1545, 0x1550, 0x1551, 0x1554, 0x1555,
0x4000, 0x4001, 0x4004, 0x4005, 0x4010, 0x4011, 0x4014, 0x4015, 0x4040, 0x4041, 0x4044, 0x4045, 0x4050, 0x4051, 0x4054, 0x4055, 0x4100, 0x4101, 0x4104, 0x4105, 0x4110, 0x4111, 0x4114, 0x4115, 0x4140, 0x4141, 0x4144, 0x4145, 0x4150, 0x4151, 0x4154, 0x4155,
0x4400, 0x4401, 0x4404, 0x4405, 0x4410, 0x4411, 0x4414, 0x4415, 0x4440, 0x4441, 0x4444, 0x4445, 0x4450, 0x4451, 0x4454, 0x4455, 0x4500, 0x4501, 0x4504, 0x4505, 0x4510, 0x4511, 0x4514, 0x4515, 0x4540, 0x4541, 0x4544, 0x4545, 0x4550, 0x4551, 0x4554, 0x4555,
0x5000, 0x5001, 0x5004, 0x5005, 0x5010, 0x5011, 0x5014, 0x5015, 0x5040, 0x5041, 0x5044, 0x5045, 0x5050, 0x5051, 0x5054, 0x5055, 0x5100, 0x5101, 0x5104, 0x5105, 0x5110, 0x5111, 0x5114, 0x5115, 0x5140, 0x5141, 0x5144, 0x5145, 0x5150, 0x5151, 0x5154, 0x5155,
0x5400, 0x5401, 0x5404, 0x5405, 0x5410, 0x5411, 0x5414, 0x5415, 0x5440, 0x5441, 0x5444, 0x5445, 0x5450, 0x5451, 0x5454, 0x5455, 0x5500, 0x5501, 0x5504, 0x5505, 0x5510, 0x5511, 0x5514, 0x5515, 0x5540, 0x5541, 0x5544, 0x5545, 0x5550, 0x5551, 0x5554, 0x5555
};
// Note we can't use simple calculations to convert PVRTC1 encoded endpoint components to/from 8-bits, due to hardware approximations.
static const uint8_t g_pvrtc_5[32] = { 0,8,16,24,33,41,49,57,66,74,82,90,99,107,115,123,132,140,148,156,165,173,181,189,198,206,214,222,231,239,247,255 };
static const uint8_t g_pvrtc_4[16] = { 0,16,33,49,66,82,99,115,140,156,173,189,206,222,239,255 };
static const uint8_t g_pvrtc_3[8] = { 0,33,74,107,148,181,222,255 };
static const uint8_t g_pvrtc_alpha[9] = { 0,34,68,102,136,170,204,238,255 };
static const uint8_t g_pvrtc_5_floor[256] =
{
0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,
3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,
7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,11,11,11,11,11,11,
11,11,11,12,12,12,12,12,12,12,12,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,15,15,15,15,15,
15,15,15,15,16,16,16,16,16,16,16,16,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,18,19,19,19,19,
19,19,19,19,19,20,20,20,20,20,20,20,20,21,21,21,21,21,21,21,21,22,22,22,22,22,22,22,22,23,23,23,
23,23,23,23,23,23,24,24,24,24,24,24,24,24,25,25,25,25,25,25,25,25,26,26,26,26,26,26,26,26,27,27,
27,27,27,27,27,27,27,28,28,28,28,28,28,28,28,29,29,29,29,29,29,29,29,30,30,30,30,30,30,30,30,31
};
static const uint8_t g_pvrtc_5_ceil[256] =
{
0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,
4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,8,8,8,
8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,12,12,12,12,12,
12,12,12,12,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,16,16,16,16,
16,16,16,16,16,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,18,19,19,19,19,19,19,19,19,20,20,20,
20,20,20,20,20,20,21,21,21,21,21,21,21,21,22,22,22,22,22,22,22,22,23,23,23,23,23,23,23,23,24,24,
24,24,24,24,24,24,24,25,25,25,25,25,25,25,25,26,26,26,26,26,26,26,26,27,27,27,27,27,27,27,27,28,
28,28,28,28,28,28,28,28,29,29,29,29,29,29,29,29,30,30,30,30,30,30,30,30,31,31,31,31,31,31,31,31
};
static const uint8_t g_pvrtc_4_floor[256] =
{
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,
7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,
9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,
11,11,11,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,13,13,
13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,15
};
static const uint8_t g_pvrtc_4_ceil[256] =
{
0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,14,
14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15
};
static const uint8_t g_pvrtc_3_floor[256] =
{
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7
};
static const uint8_t g_pvrtc_3_ceil[256] =
{
0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,
7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7
};
static const uint8_t g_pvrtc_alpha_floor[256] =
{
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8
};
static const uint8_t g_pvrtc_alpha_ceil[256] =
{
0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8
};
struct pvrtc4_block
{
uint32_t m_modulation;
uint32_t m_endpoints;
pvrtc4_block() : m_modulation(0), m_endpoints(0) { }
inline bool operator== (const pvrtc4_block& rhs) const
{
return (m_modulation == rhs.m_modulation) && (m_endpoints == rhs.m_endpoints);
}
inline void clear()
{
m_modulation = 0;
m_endpoints = 0;
}
inline bool get_block_uses_transparent_modulation() const
{
return (m_endpoints & 1) != 0;
}
inline void set_block_uses_transparent_modulation(bool m)
{
m_endpoints = (m_endpoints & ~1U) | static_cast<uint32_t>(m);
}
inline bool is_endpoint_opaque(uint32_t endpoint_index) const
{
static const uint32_t s_bitmasks[2] = { 0x8000U, 0x80000000U };
return (m_endpoints & s_bitmasks[basisu::open_range_check(endpoint_index, 2U)]) != 0;
}
inline void set_endpoint_opaque(uint32_t endpoint_index, bool opaque)
{
assert(endpoint_index < 2);
static const uint32_t s_bitmasks[2] = { 0x8000U, 0x80000000U };
if (opaque)
m_endpoints |= s_bitmasks[endpoint_index];
else
m_endpoints &= ~s_bitmasks[endpoint_index];
}
inline color32 get_endpoint_5554(uint32_t endpoint_index) const
{
assert(endpoint_index < 2);
static const uint32_t s_endpoint_mask[2] = { 0xFFFE, 0xFFFF };
uint32_t packed = (m_endpoints >> (basisu::open_range_check(endpoint_index, 2U) ? 16 : 0)) & s_endpoint_mask[endpoint_index];
uint32_t r, g, b, a;
if (packed & 0x8000)
{
// opaque 554 or 555
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
if (!endpoint_index)
b |= (b >> 4);
a = 0xF;
}
else
{
// translucent 4433 or 4443
r = (packed >> 7) & 0x1E;
g = (packed >> 3) & 0x1E;
b = (packed & 0xF) << 1;
r |= (r >> 4);
g |= (g >> 4);
if (!endpoint_index)
b |= (b >> 3);
else
b |= (b >> 4);
a = (packed >> 11) & 0xE;
}
assert((r < 32) && (g < 32) && (b < 32) && (a < 16));
return color32(r, g, b, a);
}
inline color32 get_endpoint_8888(uint32_t endpoint_index) const
{
assert(endpoint_index < 2);
static const uint32_t s_endpoint_mask[2] = { 0xFFFE, 0xFFFF };
uint32_t packed = (m_endpoints >> (basisu::open_range_check(endpoint_index, 2U) ? 16 : 0)) & s_endpoint_mask[endpoint_index];
uint32_t r, g, b, a;
if (packed & 0x8000)
{
// opaque 554 or 555
// 1RRRRRGGGGGBBBBM
// 1RRRRRGGGGGBBBBB
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
r = g_pvrtc_5[r];
g = g_pvrtc_5[g];
if (!endpoint_index)
b = g_pvrtc_4[b >> 1];
else
b = g_pvrtc_5[b];
a = 255;
}
else
{
// translucent 4433 or 4443
// 0AAA RRRR GGGG BBBM
// 0AAA RRRR GGGG BBBB
r = (packed >> 8) & 0xF;
g = (packed >> 4) & 0xF;
b = packed & 0xF;
a = (packed >> 12) & 7;
r = g_pvrtc_4[r];
g = g_pvrtc_4[g];
if (!endpoint_index)
b = g_pvrtc_3[b >> 1];
else
b = g_pvrtc_4[b];
a = g_pvrtc_alpha[a];
}
return color32(r, g, b, a);
}
inline uint32_t get_endpoint_l8(uint32_t endpoint_index) const
{
color32 c(get_endpoint_8888(endpoint_index));
return c.r + c.g + c.b + c.a;
}
inline uint32_t get_opaque_endpoint_l0() const
{
uint32_t packed = m_endpoints & 0xFFFE;
uint32_t r, g, b;
assert(packed & 0x8000);
// opaque 554 or 555
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
b |= (b >> 4);
return r + g + b;
}
inline uint32_t get_opaque_endpoint_l1() const
{
uint32_t packed = m_endpoints >> 16;
uint32_t r, g, b;
assert(packed & 0x8000);
// opaque 554 or 555
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
return r + g + b;
}
static uint32_t get_component_precision_in_bits(uint32_t c, uint32_t endpoint_index, bool opaque_endpoint)
{
static const uint32_t s_comp_prec[4][4] =
{
// R0 G0 B0 A0 R1 G1 B1 A1
{ 4, 4, 3, 3 },{ 4, 4, 4, 3 }, // transparent endpoint
{ 5, 5, 4, 0 },{ 5, 5, 5, 0 } // opaque endpoint
};
return s_comp_prec[basisu::open_range_check(endpoint_index, 2U) + (opaque_endpoint * 2)][basisu::open_range_check(c, 4U)];
}
static color32 get_color_precision_in_bits(uint32_t endpoint_index, bool opaque_endpoint)
{
static const color32 s_color_prec[4] =
{
color32(4, 4, 3, 3), color32(4, 4, 4, 3), // transparent endpoint
color32(5, 5, 4, 0), color32(5, 5, 5, 0) // opaque endpoint
};
return s_color_prec[basisu::open_range_check(endpoint_index, 2U) + (opaque_endpoint * 2)];
}
inline void set_opaque_endpoint_floor(uint32_t endpoint_index, const color32& c)
{
assert(endpoint_index < 2);
const uint32_t m = m_endpoints & 1;
uint32_t r = g_pvrtc_5_floor[c[0]], g = g_pvrtc_5_floor[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_4_floor[b] << 1;
else
b = g_pvrtc_5_floor[b];
// rgba=555 here
assert((r < 32) && (g < 32) && (b < 32));
// 1RRRRRGGGGGBBBBM
// 1RRRRRGGGGGBBBBB
// opaque 554 or 555
uint32_t packed = 0x8000 | (r << 10) | (g << 5) | b;
if (!endpoint_index)
packed = (packed & ~1) | m;
assert(packed <= 0xFFFF);
if (endpoint_index)
m_endpoints = (m_endpoints & 0xFFFFU) | (packed << 16);
else
m_endpoints = (m_endpoints & 0xFFFF0000U) | packed;
}
inline void set_opaque_endpoint_ceil(uint32_t endpoint_index, const color32& c)
{
assert(endpoint_index < 2);
const uint32_t m = m_endpoints & 1;
uint32_t r = g_pvrtc_5_ceil[c[0]], g = g_pvrtc_5_ceil[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_4_ceil[b] << 1;
else
b = g_pvrtc_5_ceil[b];
// rgba=555 here
assert((r < 32) && (g < 32) && (b < 32));
// 1RRRRRGGGGGBBBBM
// 1RRRRRGGGGGBBBBB
// opaque 554 or 555
uint32_t packed = 0x8000 | (r << 10) | (g << 5) | b;
if (!endpoint_index)
packed |= m;
assert(packed <= 0xFFFF);
if (endpoint_index)
m_endpoints = (m_endpoints & 0xFFFFU) | (packed << 16);
else
m_endpoints = (m_endpoints & 0xFFFF0000U) | packed;
}
// opaque endpoints: 554 or 555
// transparent endpoints: 3443 or 3444
inline void set_endpoint_raw(uint32_t endpoint_index, const color32& c, bool opaque_endpoint)
{
assert(endpoint_index < 2);
const uint32_t m = m_endpoints & 1;
uint32_t r = c[0], g = c[1], b = c[2], a = c[3];
uint32_t packed;
if (opaque_endpoint)
{
if (!endpoint_index)
{
// 554
// 1RRRRRGGGGGBBBBM
assert((r < 32) && (g < 32) && (b < 16));
packed = 0x8000 | (r << 10) | (g << 5) | (b << 1) | m;
}
else
{
// 555
// 1RRRRRGGGGGBBBBB
assert((r < 32) && (g < 32) && (b < 32));
packed = 0x8000 | (r << 10) | (g << 5) | b;
}
}
else
{
if (!endpoint_index)
{
// 3443
// 0AAA RRRR GGGG BBBM
assert((r < 16) && (g < 16) && (b < 8) && (a < 8));
packed = (a << 12) | (r << 8) | (g << 4) | (b << 1) | m;
}
else
{
// 3444
// 0AAA RRRR GGGG BBBB
assert((r < 16) && (g < 16) && (b < 16) && (a < 8));
packed = (a << 12) | (r << 8) | (g << 4) | b;
}
}
assert(packed <= 0xFFFF);
if (endpoint_index)
m_endpoints = (m_endpoints & 0xFFFFU) | (packed << 16);
else
m_endpoints = (m_endpoints & 0xFFFF0000U) | packed;
}
inline void set_endpoint_floor(uint32_t endpoint_index, const color32& c)
{
assert(endpoint_index < 2);
int a = g_pvrtc_alpha_floor[c.a];
if (a == 8)
{
// 554 or 555
uint32_t r = g_pvrtc_5_floor[c[0]], g = g_pvrtc_5_floor[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_4_floor[b];
else
b = g_pvrtc_5_floor[b];
set_endpoint_raw(endpoint_index, color32(r, g, b, a), true);
}
else
{
// 4433 or 4443
uint32_t r = g_pvrtc_4_floor[c[0]], g = g_pvrtc_4_floor[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_3_floor[b];
else
b = g_pvrtc_4_floor[b];
set_endpoint_raw(endpoint_index, color32(r, g, b, a), false);
}
}
inline void set_endpoint_ceil(uint32_t endpoint_index, const color32& c)
{
assert(endpoint_index < 2);
int a = g_pvrtc_alpha_ceil[c.a];
if (a == 8)
{
// 554 or 555
uint32_t r = g_pvrtc_5_ceil[c[0]], g = g_pvrtc_5_ceil[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_4_ceil[b];
else
b = g_pvrtc_5_ceil[b];
set_endpoint_raw(endpoint_index, color32(r, g, b, a), true);
}
else
{
// 4433 or 4443
uint32_t r = g_pvrtc_4_ceil[c[0]], g = g_pvrtc_4_ceil[c[1]], b = c[2];
if (!endpoint_index)
b = g_pvrtc_3_ceil[b];
else
b = g_pvrtc_4_ceil[b];
set_endpoint_raw(endpoint_index, color32(r, g, b, a), false);
}
}
inline uint32_t get_modulation(uint32_t x, uint32_t y) const
{
assert((x < 4) && (y < 4));
return (m_modulation >> ((y * 4 + x) * 2)) & 3;
}
// Scaled by 8
inline const uint32_t* get_scaled_modulation_values(bool block_uses_transparent_modulation) const
{
static const uint32_t s_block_scales[2][4] = { { 0, 3, 5, 8 },{ 0, 4, 4, 8 } };
return s_block_scales[block_uses_transparent_modulation];
}
// Scaled by 8
inline uint32_t get_scaled_modulation(uint32_t x, uint32_t y) const
{
return get_scaled_modulation_values(get_block_uses_transparent_modulation())[get_modulation(x, y)];
}
inline void set_modulation(uint32_t x, uint32_t y, uint32_t s)
{
assert((x < 4) && (y < 4) && (s < 4));
uint32_t n = (y * 4 + x) * 2;
m_modulation = (m_modulation & (~(3 << n))) | (s << n);
assert(get_modulation(x, y) == s);
}
// Assumes modulation was initialized to 0
inline void set_modulation_fast(uint32_t x, uint32_t y, uint32_t s)
{
assert((x < 4) && (y < 4) && (s < 4));
uint32_t n = (y * 4 + x) * 2;
m_modulation |= (s << n);
assert(get_modulation(x, y) == s);
}
};
#if 0
static const uint8_t g_pvrtc_bilinear_weights[16][4] =
{
{ 4, 4, 4, 4 }, { 2, 6, 2, 6 }, { 8, 0, 8, 0 }, { 6, 2, 6, 2 },
{ 2, 2, 6, 6 }, { 1, 3, 3, 9 }, { 4, 0, 12, 0 }, { 3, 1, 9, 3 },
{ 8, 8, 0, 0 }, { 4, 12, 0, 0 }, { 16, 0, 0, 0 }, { 12, 4, 0, 0 },
{ 6, 6, 2, 2 }, { 3, 9, 1, 3 }, { 12, 0, 4, 0 }, { 9, 3, 3, 1 },
};
#endif
struct pvrtc1_temp_block
{
decoder_etc_block m_etc1_block;
uint32_t m_pvrtc_endpoints;
};
static inline uint32_t get_opaque_endpoint_l0(uint32_t endpoints)
{
uint32_t packed = endpoints;
uint32_t r, g, b;
assert(packed & 0x8000);
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 30;
b |= (b >> 4);
return r + g + b;
}
static inline uint32_t get_opaque_endpoint_l1(uint32_t endpoints)
{
uint32_t packed = endpoints >> 16;
uint32_t r, g, b;
assert(packed & 0x8000);
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
return r + g + b;
}
static color32 get_endpoint_8888(uint32_t endpoints, uint32_t endpoint_index)
{
assert(endpoint_index < 2);
static const uint32_t s_endpoint_mask[2] = { 0xFFFE, 0xFFFF };
uint32_t packed = (endpoints >> (basisu::open_range_check(endpoint_index, 2U) ? 16 : 0)) & s_endpoint_mask[endpoint_index];
uint32_t r, g, b, a;
if (packed & 0x8000)
{
// opaque 554 or 555
// 1RRRRRGGGGGBBBBM
// 1RRRRRGGGGGBBBBB
r = (packed >> 10) & 31;
g = (packed >> 5) & 31;
b = packed & 31;
r = g_pvrtc_5[r];
g = g_pvrtc_5[g];
if (!endpoint_index)
b = g_pvrtc_4[b >> 1];
else
b = g_pvrtc_5[b];
a = 255;
}
else
{
// translucent 4433 or 4443
// 0AAA RRRR GGGG BBBM
// 0AAA RRRR GGGG BBBB
r = (packed >> 8) & 0xF;
g = (packed >> 4) & 0xF;
b = packed & 0xF;
a = (packed >> 12) & 7;
r = g_pvrtc_4[r];
g = g_pvrtc_4[g];
if (!endpoint_index)
b = g_pvrtc_3[b >> 1];
else
b = g_pvrtc_4[b];
a = g_pvrtc_alpha[a];
}
return color32(r, g, b, a);
}
static uint32_t get_endpoint_l8(uint32_t endpoints, uint32_t endpoint_index)
{
color32 c(get_endpoint_8888(endpoints, endpoint_index));
return c.r + c.g + c.b + c.a;
}
#endif
#if BASISD_SUPPORT_PVRTC1
// TODO: Support decoding a non-pow2 ETC1S texture into the next larger pow2 PVRTC texture.
static void fixup_pvrtc1_4_modulation_rgb(const decoder_etc_block* pETC_Blocks, const uint32_t* pPVRTC_endpoints, void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y)
{
const uint32_t x_mask = num_blocks_x - 1;
const uint32_t y_mask = num_blocks_y - 1;
const uint32_t x_bits = basisu::total_bits(x_mask);
const uint32_t y_bits = basisu::total_bits(y_mask);
const uint32_t min_bits = basisu::minimum(x_bits, y_bits);
//const uint32_t max_bits = basisu::maximum(x_bits, y_bits);
const uint32_t swizzle_mask = (1 << (min_bits * 2)) - 1;
uint32_t block_index = 0;
// really 3x3
int e0[4][4], e1[4][4];
for (int y = 0; y < static_cast<int>(num_blocks_y); y++)
{
const uint32_t* pE_rows[3];
for (int ey = 0; ey < 3; ey++)
{
int by = y + ey - 1;
const uint32_t* pE = &pPVRTC_endpoints[(by & y_mask) * num_blocks_x];
pE_rows[ey] = pE;
for (int ex = 0; ex < 3; ex++)
{
int bx = 0 + ex - 1;
const uint32_t e = pE[bx & x_mask];
e0[ex][ey] = (get_opaque_endpoint_l0(e) * 255) / 31;
e1[ex][ey] = (get_opaque_endpoint_l1(e) * 255) / 31;
}
}
const uint32_t y_swizzle = (g_pvrtc_swizzle_table[y >> 8] << 16) | g_pvrtc_swizzle_table[y & 0xFF];
for (int x = 0; x < static_cast<int>(num_blocks_x); x++, block_index++)
{
const decoder_etc_block& src_block = pETC_Blocks[block_index];
const uint32_t x_swizzle = (g_pvrtc_swizzle_table[x >> 8] << 17) | (g_pvrtc_swizzle_table[x & 0xFF] << 1);
uint32_t swizzled = x_swizzle | y_swizzle;
if (num_blocks_x != num_blocks_y)
{
swizzled &= swizzle_mask;
if (num_blocks_x > num_blocks_y)
swizzled |= ((x >> min_bits) << (min_bits * 2));
else
swizzled |= ((y >> min_bits) << (min_bits * 2));
}
pvrtc4_block* pDst_block = static_cast<pvrtc4_block*>(pDst_blocks) + swizzled;
pDst_block->m_endpoints = pPVRTC_endpoints[block_index];
uint32_t base_r = g_etc_5_to_8[src_block.m_differential.m_red1];
uint32_t base_g = g_etc_5_to_8[src_block.m_differential.m_green1];
uint32_t base_b = g_etc_5_to_8[src_block.m_differential.m_blue1];
const int* pInten_table48 = g_etc1_inten_tables48[src_block.m_differential.m_cw1];
int by = (base_r + base_g + base_b) * 16;
int block_colors_y_x16[4];
block_colors_y_x16[0] = by + pInten_table48[2];
block_colors_y_x16[1] = by + pInten_table48[3];
block_colors_y_x16[2] = by + pInten_table48[1];
block_colors_y_x16[3] = by + pInten_table48[0];
{
const uint32_t ex = 2;
int bx = x + ex - 1;
bx &= x_mask;
#define DO_ROW(ey) \
{ \
const uint32_t e = pE_rows[ey][bx]; \
e0[ex][ey] = (get_opaque_endpoint_l0(e) * 255) / 31; \
e1[ex][ey] = (get_opaque_endpoint_l1(e) * 255) / 31; \
}
DO_ROW(0);
DO_ROW(1);
DO_ROW(2);
#undef DO_ROW
}
uint32_t mod = 0;
uint32_t lookup_x[4];
#define DO_LOOKUP(lx) { \
const uint32_t byte_ofs = 7 - (((lx) * 4) >> 3); \
const uint32_t lsb_bits = src_block.m_bytes[byte_ofs] >> (((lx) & 1) * 4); \
const uint32_t msb_bits = src_block.m_bytes[byte_ofs - 2] >> (((lx) & 1) * 4); \
lookup_x[lx] = (lsb_bits & 0xF) | ((msb_bits & 0xF) << 4); }
DO_LOOKUP(0);
DO_LOOKUP(1);
DO_LOOKUP(2);
DO_LOOKUP(3);
#undef DO_LOOKUP
#define DO_PIX(lx, ly, w0, w1, w2, w3) \
{ \
int ca_l = a0 * w0 + a1 * w1 + a2 * w2 + a3 * w3; \
int cb_l = b0 * w0 + b1 * w1 + b2 * w2 + b3 * w3; \
int cl = block_colors_y_x16[g_etc1_x_selector_unpack[ly][lookup_x[lx]]]; \
int dl = cb_l - ca_l; \
int vl = cl - ca_l; \
int p = vl * 16; \
if (ca_l > cb_l) { p = -p; dl = -dl; } \
uint32_t m = 0; \
if (p > 3 * dl) m = (uint32_t)(1 << ((ly) * 8 + (lx) * 2)); \
if (p > 8 * dl) m = (uint32_t)(2 << ((ly) * 8 + (lx) * 2)); \
if (p > 13 * dl) m = (uint32_t)(3 << ((ly) * 8 + (lx) * 2)); \
mod |= m; \
}
{
const uint32_t ex = 0, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 0, 4, 4, 4, 4);
DO_PIX(1, 0, 2, 6, 2, 6);
DO_PIX(0, 1, 2, 2, 6, 6);
DO_PIX(1, 1, 1, 3, 3, 9);
}
{
const uint32_t ex = 1, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 0, 8, 0, 8, 0);
DO_PIX(3, 0, 6, 2, 6, 2);
DO_PIX(2, 1, 4, 0, 12, 0);
DO_PIX(3, 1, 3, 1, 9, 3);
}
{
const uint32_t ex = 0, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 2, 8, 8, 0, 0);
DO_PIX(1, 2, 4, 12, 0, 0);
DO_PIX(0, 3, 6, 6, 2, 2);
DO_PIX(1, 3, 3, 9, 1, 3);
}
{
const uint32_t ex = 1, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 2, 16, 0, 0, 0);
DO_PIX(3, 2, 12, 4, 0, 0);
DO_PIX(2, 3, 12, 0, 4, 0);
DO_PIX(3, 3, 9, 3, 3, 1);
}
#undef DO_PIX
pDst_block->m_modulation = mod;
e0[0][0] = e0[1][0]; e0[1][0] = e0[2][0];
e0[0][1] = e0[1][1]; e0[1][1] = e0[2][1];
e0[0][2] = e0[1][2]; e0[1][2] = e0[2][2];
e1[0][0] = e1[1][0]; e1[1][0] = e1[2][0];
e1[0][1] = e1[1][1]; e1[1][1] = e1[2][1];
e1[0][2] = e1[1][2]; e1[1][2] = e1[2][2];
} // x
} // y
}
static void fixup_pvrtc1_4_modulation_rgba(
const decoder_etc_block* pETC_Blocks,
const uint32_t* pPVRTC_endpoints,
void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, void *pAlpha_blocks,
const endpoint* pEndpoints, const selector* pSelectors)
{
const uint32_t x_mask = num_blocks_x - 1;
const uint32_t y_mask = num_blocks_y - 1;
const uint32_t x_bits = basisu::total_bits(x_mask);
const uint32_t y_bits = basisu::total_bits(y_mask);
const uint32_t min_bits = basisu::minimum(x_bits, y_bits);
//const uint32_t max_bits = basisu::maximum(x_bits, y_bits);
const uint32_t swizzle_mask = (1 << (min_bits * 2)) - 1;
uint32_t block_index = 0;
// really 3x3
int e0[4][4], e1[4][4];
for (int y = 0; y < static_cast<int>(num_blocks_y); y++)
{
const uint32_t* pE_rows[3];
for (int ey = 0; ey < 3; ey++)
{
int by = y + ey - 1;
const uint32_t* pE = &pPVRTC_endpoints[(by & y_mask) * num_blocks_x];
pE_rows[ey] = pE;
for (int ex = 0; ex < 3; ex++)
{
int bx = 0 + ex - 1;
const uint32_t e = pE[bx & x_mask];
e0[ex][ey] = get_endpoint_l8(e, 0);
e1[ex][ey] = get_endpoint_l8(e, 1);
}
}
const uint32_t y_swizzle = (g_pvrtc_swizzle_table[y >> 8] << 16) | g_pvrtc_swizzle_table[y & 0xFF];
for (int x = 0; x < static_cast<int>(num_blocks_x); x++, block_index++)
{
const decoder_etc_block& src_block = pETC_Blocks[block_index];
const uint16_t* pSrc_alpha_block = reinterpret_cast<const uint16_t*>(static_cast<const uint32_t*>(pAlpha_blocks) + x + (y * num_blocks_x));
const endpoint* pAlpha_endpoints = &pEndpoints[pSrc_alpha_block[0]];
const selector* pAlpha_selectors = &pSelectors[pSrc_alpha_block[1]];
const uint32_t x_swizzle = (g_pvrtc_swizzle_table[x >> 8] << 17) | (g_pvrtc_swizzle_table[x & 0xFF] << 1);
uint32_t swizzled = x_swizzle | y_swizzle;
if (num_blocks_x != num_blocks_y)
{
swizzled &= swizzle_mask;
if (num_blocks_x > num_blocks_y)
swizzled |= ((x >> min_bits) << (min_bits * 2));
else
swizzled |= ((y >> min_bits) << (min_bits * 2));
}
pvrtc4_block* pDst_block = static_cast<pvrtc4_block*>(pDst_blocks) + swizzled;
pDst_block->m_endpoints = pPVRTC_endpoints[block_index];
uint32_t base_r = g_etc_5_to_8[src_block.m_differential.m_red1];
uint32_t base_g = g_etc_5_to_8[src_block.m_differential.m_green1];
uint32_t base_b = g_etc_5_to_8[src_block.m_differential.m_blue1];
const int* pInten_table48 = g_etc1_inten_tables48[src_block.m_differential.m_cw1];
int by = (base_r + base_g + base_b) * 16;
int block_colors_y_x16[4];
block_colors_y_x16[0] = basisu::clamp<int>(by + pInten_table48[0], 0, 48 * 255);
block_colors_y_x16[1] = basisu::clamp<int>(by + pInten_table48[1], 0, 48 * 255);
block_colors_y_x16[2] = basisu::clamp<int>(by + pInten_table48[2], 0, 48 * 255);
block_colors_y_x16[3] = basisu::clamp<int>(by + pInten_table48[3], 0, 48 * 255);
uint32_t alpha_base_g = g_etc_5_to_8[pAlpha_endpoints->m_color5.g] * 16;
const int* pInten_table16 = g_etc1_inten_tables16[pAlpha_endpoints->m_inten5];
int alpha_block_colors_x16[4];
alpha_block_colors_x16[0] = basisu::clamp<int>(alpha_base_g + pInten_table16[0], 0, 16 * 255);
alpha_block_colors_x16[1] = basisu::clamp<int>(alpha_base_g + pInten_table16[1], 0, 16 * 255);
alpha_block_colors_x16[2] = basisu::clamp<int>(alpha_base_g + pInten_table16[2], 0, 16 * 255);
alpha_block_colors_x16[3] = basisu::clamp<int>(alpha_base_g + pInten_table16[3], 0, 16 * 255);
// clamp((base_r + base_g + base_b) * 16 + color_inten[s] * 48) + clamp(alpha_base_g * 16 + alpha_inten[as] * 16)
{
const uint32_t ex = 2;
int bx = x + ex - 1;
bx &= x_mask;
#define DO_ROW(ey) \
{ \
const uint32_t e = pE_rows[ey][bx]; \
e0[ex][ey] = get_endpoint_l8(e, 0); \
e1[ex][ey] = get_endpoint_l8(e, 1); \
}
DO_ROW(0);
DO_ROW(1);
DO_ROW(2);
#undef DO_ROW
}
uint32_t mod = 0;
#define DO_PIX(lx, ly, w0, w1, w2, w3) \
{ \
int ca_l = a0 * w0 + a1 * w1 + a2 * w2 + a3 * w3; \
int cb_l = b0 * w0 + b1 * w1 + b2 * w2 + b3 * w3; \
int cl = block_colors_y_x16[(src_block.m_bytes[4 + ly] >> (lx * 2)) & 3] + alpha_block_colors_x16[(pAlpha_selectors->m_selectors[ly] >> (lx * 2)) & 3]; \
int dl = cb_l - ca_l; \
int vl = cl - ca_l; \
int p = vl * 16; \
if (ca_l > cb_l) { p = -p; dl = -dl; } \
uint32_t m = 0; \
if (p > 3 * dl) m = (uint32_t)(1 << ((ly) * 8 + (lx) * 2)); \
if (p > 8 * dl) m = (uint32_t)(2 << ((ly) * 8 + (lx) * 2)); \
if (p > 13 * dl) m = (uint32_t)(3 << ((ly) * 8 + (lx) * 2)); \
mod |= m; \
}
{
const uint32_t ex = 0, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 0, 4, 4, 4, 4);
DO_PIX(1, 0, 2, 6, 2, 6);
DO_PIX(0, 1, 2, 2, 6, 6);
DO_PIX(1, 1, 1, 3, 3, 9);
}
{
const uint32_t ex = 1, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 0, 8, 0, 8, 0);
DO_PIX(3, 0, 6, 2, 6, 2);
DO_PIX(2, 1, 4, 0, 12, 0);
DO_PIX(3, 1, 3, 1, 9, 3);
}
{
const uint32_t ex = 0, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 2, 8, 8, 0, 0);
DO_PIX(1, 2, 4, 12, 0, 0);
DO_PIX(0, 3, 6, 6, 2, 2);
DO_PIX(1, 3, 3, 9, 1, 3);
}
{
const uint32_t ex = 1, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 2, 16, 0, 0, 0);
DO_PIX(3, 2, 12, 4, 0, 0);
DO_PIX(2, 3, 12, 0, 4, 0);
DO_PIX(3, 3, 9, 3, 3, 1);
}
#undef DO_PIX
pDst_block->m_modulation = mod;
e0[0][0] = e0[1][0]; e0[1][0] = e0[2][0];
e0[0][1] = e0[1][1]; e0[1][1] = e0[2][1];
e0[0][2] = e0[1][2]; e0[1][2] = e0[2][2];
e1[0][0] = e1[1][0]; e1[1][0] = e1[2][0];
e1[0][1] = e1[1][1]; e1[1][1] = e1[2][1];
e1[0][2] = e1[1][2]; e1[1][2] = e1[2][2];
} // x
} // y
}
#endif // BASISD_SUPPORT_PVRTC1
#if BASISD_SUPPORT_BC7_MODE5
static dxt_selector_range g_etc1_to_bc7_m5_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 },
};
const uint32_t NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES = sizeof(g_etc1_to_bc7_m5_selector_ranges) / sizeof(g_etc1_to_bc7_m5_selector_ranges[0]);
static uint32_t g_etc1_to_bc7_m5_selector_range_index[4][4];
const uint32_t NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS = 10;
static const uint8_t g_etc1_to_bc7_m5_selector_mappings[NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS][4] =
{
{ 0, 0, 1, 1 },
{ 0, 0, 1, 2 },
{ 0, 0, 1, 3 },
{ 0, 0, 2, 3 },
{ 0, 1, 1, 1 },
{ 0, 1, 2, 2 },
{ 0, 1, 2, 3 },
{ 0, 2, 3, 3 },
{ 1, 2, 2, 2 },
{ 1, 2, 3, 3 },
};
struct etc1_to_bc7_m5_solution
{
uint8_t m_lo;
uint8_t m_hi;
uint16_t m_err;
};
static const etc1_to_bc7_m5_solution g_etc1_to_bc7_m5_color[32 * 8 * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS * NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES] = {
#include "basisu_transcoder_tables_bc7_m5_color.inc"
};
static dxt_selector_range g_etc1_to_bc7_m5a_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 }
};
const uint32_t NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES = sizeof(g_etc1_to_bc7_m5a_selector_ranges) / sizeof(g_etc1_to_bc7_m5a_selector_ranges[0]);
static uint32_t g_etc1_to_bc7_m5a_selector_range_index[4][4];
struct etc1_g_to_bc7_m5a_conversion
{
uint8_t m_lo, m_hi;
uint8_t m_trans;
};
static etc1_g_to_bc7_m5a_conversion g_etc1_g_to_bc7_m5a[8 * 32 * NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES] =
{
#include "basisu_transcoder_tables_bc7_m5_alpha.inc"
};
static inline uint32_t set_block_bits(uint8_t* pBytes, uint32_t val, uint32_t num_bits, uint32_t cur_ofs)
{
assert(num_bits < 32);
assert(val < (1ULL << num_bits));
uint32_t mask = static_cast<uint32_t>((1ULL << num_bits) - 1);
while (num_bits)
{
const uint32_t n = basisu::minimum<uint32_t>(8 - (cur_ofs & 7), num_bits);
pBytes[cur_ofs >> 3] &= ~static_cast<uint8_t>(mask << (cur_ofs & 7));
pBytes[cur_ofs >> 3] |= static_cast<uint8_t>(val << (cur_ofs & 7));
val >>= n;
mask >>= n;
num_bits -= n;
cur_ofs += n;
}
return cur_ofs;
}
struct bc7_mode_5
{
union
{
struct
{
uint64_t m_mode : 6;
uint64_t m_rot : 2;
uint64_t m_r0 : 7;
uint64_t m_r1 : 7;
uint64_t m_g0 : 7;
uint64_t m_g1 : 7;
uint64_t m_b0 : 7;
uint64_t m_b1 : 7;
uint64_t m_a0 : 8;
uint64_t m_a1_0 : 6;
} m_lo;
uint64_t m_lo_bits;
};
union
{
struct
{
uint64_t m_a1_1 : 2;
// bit 2
uint64_t m_c00 : 1;
uint64_t m_c10 : 2;
uint64_t m_c20 : 2;
uint64_t m_c30 : 2;
uint64_t m_c01 : 2;
uint64_t m_c11 : 2;
uint64_t m_c21 : 2;
uint64_t m_c31 : 2;
uint64_t m_c02 : 2;
uint64_t m_c12 : 2;
uint64_t m_c22 : 2;
uint64_t m_c32 : 2;
uint64_t m_c03 : 2;
uint64_t m_c13 : 2;
uint64_t m_c23 : 2;
uint64_t m_c33 : 2;
// bit 33
uint64_t m_a00 : 1;
uint64_t m_a10 : 2;
uint64_t m_a20 : 2;
uint64_t m_a30 : 2;
uint64_t m_a01 : 2;
uint64_t m_a11 : 2;
uint64_t m_a21 : 2;
uint64_t m_a31 : 2;
uint64_t m_a02 : 2;
uint64_t m_a12 : 2;
uint64_t m_a22 : 2;
uint64_t m_a32 : 2;
uint64_t m_a03 : 2;
uint64_t m_a13 : 2;
uint64_t m_a23 : 2;
uint64_t m_a33 : 2;
} m_hi;
uint64_t m_hi_bits;
};
};
#if BASISD_WRITE_NEW_BC7_MODE5_TABLES
static void create_etc1_to_bc7_m5_color_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_bc7_m5_color.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_bc7_m5_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_bc7_m5_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 127; hi++)
{
for (uint32_t lo = 0; lo <= 127; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 1) | (lo >> 6);
colors[3] = (hi << 1) | (hi >> 6);
colors[1] = (colors[0] * (64 - 21) + colors[3] * 21 + 32) / 64;
colors[2] = (colors[0] * (64 - 43) + colors[3] * 43 + 32) / 64;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_bc7_m5_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
static void create_etc1_to_bc7_m5_alpha_conversion_table()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_bc7_m5_alpha.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_bc7_m5a_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_bc7_m5a_selector_ranges[sr].m_high;
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
uint32_t best_output_selectors = 0;
for (uint32_t hi = 0; hi <= 255; hi++)
{
for (uint32_t lo = 0; lo <= 255; lo++)
{
uint32_t colors[4];
colors[0] = lo;
colors[3] = hi;
colors[1] = (colors[0] * (64 - 21) + colors[3] * 21 + 32) / 64;
colors[2] = (colors[0] * (64 - 43) + colors[3] * 43 + 32) / 64;
uint64_t total_err = 0;
uint32_t output_selectors = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int best_mapping_err = INT_MAX;
int best_k = 0;
for (int k = 0; k < 4; k++)
{
int mapping_err = block_colors[s].g - colors[k];
mapping_err *= mapping_err;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
mapping_err *= 5;
if (mapping_err < best_mapping_err)
{
best_mapping_err = mapping_err;
best_k = k;
}
} // k
total_err += best_mapping_err;
output_selectors |= (best_k << (s * 2));
} // s
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
best_output_selectors = output_selectors;
}
} // lo
} // hi
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, best_output_selectors);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // sr
} // g
} // inten
fclose(pFile);
}
#endif // BASISD_WRITE_NEW_BC7_MODE5_TABLES
struct bc7_m5_match_entry
{
uint8_t m_hi;
uint8_t m_lo;
};
static bc7_m5_match_entry g_bc7_m5_equals_1[256] =
{
{0,0},{1,0},{3,0},{4,0},{6,0},{7,0},{9,0},{10,0},{12,0},{13,0},{15,0},{16,0},{18,0},{20,0},{21,0},{23,0},
{24,0},{26,0},{27,0},{29,0},{30,0},{32,0},{33,0},{35,0},{36,0},{38,0},{39,0},{41,0},{42,0},{44,0},{45,0},{47,0},
{48,0},{50,0},{52,0},{53,0},{55,0},{56,0},{58,0},{59,0},{61,0},{62,0},{64,0},{65,0},{66,0},{68,0},{69,0},{71,0},
{72,0},{74,0},{75,0},{77,0},{78,0},{80,0},{82,0},{83,0},{85,0},{86,0},{88,0},{89,0},{91,0},{92,0},{94,0},{95,0},
{97,0},{98,0},{100,0},{101,0},{103,0},{104,0},{106,0},{107,0},{109,0},{110,0},{112,0},{114,0},{115,0},{117,0},{118,0},{120,0},
{121,0},{123,0},{124,0},{126,0},{127,0},{127,1},{126,2},{126,3},{127,3},{127,4},{126,5},{126,6},{127,6},{127,7},{126,8},{126,9},
{127,9},{127,10},{126,11},{126,12},{127,12},{127,13},{126,14},{125,15},{127,15},{126,16},{126,17},{127,17},{127,18},{126,19},{126,20},{127,20},
{127,21},{126,22},{126,23},{127,23},{127,24},{126,25},{126,26},{127,26},{127,27},{126,28},{126,29},{127,29},{127,30},{126,31},{126,32},{127,32},
{127,33},{126,34},{126,35},{127,35},{127,36},{126,37},{126,38},{127,38},{127,39},{126,40},{126,41},{127,41},{127,42},{126,43},{126,44},{127,44},
{127,45},{126,46},{125,47},{127,47},{126,48},{126,49},{127,49},{127,50},{126,51},{126,52},{127,52},{127,53},{126,54},{126,55},{127,55},{127,56},
{126,57},{126,58},{127,58},{127,59},{126,60},{126,61},{127,61},{127,62},{126,63},{125,64},{126,64},{126,65},{127,65},{127,66},{126,67},{126,68},
{127,68},{127,69},{126,70},{126,71},{127,71},{127,72},{126,73},{126,74},{127,74},{127,75},{126,76},{125,77},{127,77},{126,78},{126,79},{127,79},
{127,80},{126,81},{126,82},{127,82},{127,83},{126,84},{126,85},{127,85},{127,86},{126,87},{126,88},{127,88},{127,89},{126,90},{126,91},{127,91},
{127,92},{126,93},{126,94},{127,94},{127,95},{126,96},{126,97},{127,97},{127,98},{126,99},{126,100},{127,100},{127,101},{126,102},{126,103},{127,103},
{127,104},{126,105},{126,106},{127,106},{127,107},{126,108},{125,109},{127,109},{126,110},{126,111},{127,111},{127,112},{126,113},{126,114},{127,114},{127,115},
{126,116},{126,117},{127,117},{127,118},{126,119},{126,120},{127,120},{127,121},{126,122},{126,123},{127,123},{127,124},{126,125},{126,126},{127,126},{127,127}
};
static void transcoder_init_bc7_mode5()
{
#if 0
// This is a little too much work to do at init time, so precompute it.
for (int i = 0; i < 256; i++)
{
int lowest_e = 256;
for (int lo = 0; lo < 128; lo++)
{
for (int hi = 0; hi < 128; hi++)
{
const int lo_e = (lo << 1) | (lo >> 6);
const int hi_e = (hi << 1) | (hi >> 6);
// Selector 1
int v = (lo_e * (64 - 21) + hi_e * 21 + 32) >> 6;
int e = abs(v - i);
if (e < lowest_e)
{
g_bc7_m5_equals_1[i].m_hi = static_cast<uint8_t>(hi);
g_bc7_m5_equals_1[i].m_lo = static_cast<uint8_t>(lo);
lowest_e = e;
}
} // hi
} // lo
printf("{%u,%u},", g_bc7_m5_equals_1[i].m_hi, g_bc7_m5_equals_1[i].m_lo);
if ((i & 15) == 15) printf("\n");
}
#endif
for (uint32_t i = 0; i < NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1_to_bc7_m5_selector_ranges[i].m_low;
uint32_t h = g_etc1_to_bc7_m5_selector_ranges[i].m_high;
g_etc1_to_bc7_m5_selector_range_index[l][h] = i;
}
for (uint32_t i = 0; i < NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1_to_bc7_m5a_selector_ranges[i].m_low;
uint32_t h = g_etc1_to_bc7_m5a_selector_ranges[i].m_high;
g_etc1_to_bc7_m5a_selector_range_index[l][h] = i;
}
}
static void convert_etc1s_to_bc7_m5_color(void* pDst, const endpoint* pEndpoints, const selector* pSelector)
{
bc7_mode_5* pDst_block = static_cast<bc7_mode_5*>(pDst);
// First ensure the block is cleared to all 0's
static_cast<uint64_t*>(pDst)[0] = 0;
static_cast<uint64_t*>(pDst)[1] = 0;
// Set alpha to 255
pDst_block->m_lo.m_mode = 1 << 5;
pDst_block->m_lo.m_a0 = 255;
pDst_block->m_lo.m_a1_0 = 63;
pDst_block->m_hi.m_a1_1 = 3;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const uint32_t base_color_r = pEndpoints->m_color5.r;
const uint32_t base_color_g = pEndpoints->m_color5.g;
const uint32_t base_color_b = pEndpoints->m_color5.b;
const uint32_t inten_table = pEndpoints->m_inten5;
if (pSelector->m_num_unique_selectors == 1)
{
// Solid color block - use precomputed tables and set selectors to 1.
uint32_t r, g, b;
decoder_etc_block::get_block_color5(pEndpoints->m_color5, inten_table, low_selector, r, g, b);
pDst_block->m_lo.m_r0 = g_bc7_m5_equals_1[r].m_lo;
pDst_block->m_lo.m_g0 = g_bc7_m5_equals_1[g].m_lo;
pDst_block->m_lo.m_b0 = g_bc7_m5_equals_1[b].m_lo;
pDst_block->m_lo.m_r1 = g_bc7_m5_equals_1[r].m_hi;
pDst_block->m_lo.m_g1 = g_bc7_m5_equals_1[g].m_hi;
pDst_block->m_lo.m_b1 = g_bc7_m5_equals_1[b].m_hi;
set_block_bits((uint8_t*)pDst, 0x2aaaaaab, 31, 66);
return;
}
else if (pSelector->m_num_unique_selectors == 2)
{
// Only one or two unique selectors, so just switch to block truncation coding (BTC) to avoid quality issues on extreme blocks.
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, color32(base_color_r, base_color_g, base_color_b, 255), inten_table);
const uint32_t r0 = block_colors[low_selector].r;
const uint32_t g0 = block_colors[low_selector].g;
const uint32_t b0 = block_colors[low_selector].b;
const uint32_t r1 = block_colors[high_selector].r;
const uint32_t g1 = block_colors[high_selector].g;
const uint32_t b1 = block_colors[high_selector].b;
pDst_block->m_lo.m_r0 = r0 >> 1;
pDst_block->m_lo.m_g0 = g0 >> 1;
pDst_block->m_lo.m_b0 = b0 >> 1;
pDst_block->m_lo.m_r1 = r1 >> 1;
pDst_block->m_lo.m_g1 = g1 >> 1;
pDst_block->m_lo.m_b1 = b1 >> 1;
uint32_t output_low_selector = 0, output_bit_offset = 0, output_bits = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t os = (s == low_selector) ? output_low_selector : (3 ^ output_low_selector);
uint32_t num_bits = 2;
if ((x | y) == 0)
{
if (os & 2)
{
pDst_block->m_lo.m_r0 = r1 >> 1;
pDst_block->m_lo.m_g0 = g1 >> 1;
pDst_block->m_lo.m_b0 = b1 >> 1;
pDst_block->m_lo.m_r1 = r0 >> 1;
pDst_block->m_lo.m_g1 = g0 >> 1;
pDst_block->m_lo.m_b1 = b0 >> 1;
output_low_selector = 3;
os = 0;
}
num_bits = 1;
}
output_bits |= (os << output_bit_offset);
output_bit_offset += num_bits;
}
}
set_block_bits((uint8_t*)pDst, output_bits, 31, 66);
return;
}
const uint32_t selector_range_table = g_etc1_to_bc7_m5_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_bc7_m5_solution* pTable_r = &g_etc1_to_bc7_m5_color[(inten_table * 32 + base_color_r) * (NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS];
const etc1_to_bc7_m5_solution* pTable_g = &g_etc1_to_bc7_m5_color[(inten_table * 32 + base_color_g) * (NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS];
const etc1_to_bc7_m5_solution* pTable_b = &g_etc1_to_bc7_m5_color[(inten_table * 32 + base_color_b) * (NUM_ETC1_TO_BC7_M5_SELECTOR_RANGES * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1_TO_BC7_M5_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
const uint8_t* pSelectors_xlat = &g_etc1_to_bc7_m5_selector_mappings[best_mapping][0];
uint32_t s_inv = 0;
if (pSelectors_xlat[pSelector->get_selector(0, 0)] & 2)
{
pDst_block->m_lo.m_r0 = pTable_r[best_mapping].m_hi;
pDst_block->m_lo.m_g0 = pTable_g[best_mapping].m_hi;
pDst_block->m_lo.m_b0 = pTable_b[best_mapping].m_hi;
pDst_block->m_lo.m_r1 = pTable_r[best_mapping].m_lo;
pDst_block->m_lo.m_g1 = pTable_g[best_mapping].m_lo;
pDst_block->m_lo.m_b1 = pTable_b[best_mapping].m_lo;
s_inv = 3;
}
else
{
pDst_block->m_lo.m_r0 = pTable_r[best_mapping].m_lo;
pDst_block->m_lo.m_g0 = pTable_g[best_mapping].m_lo;
pDst_block->m_lo.m_b0 = pTable_b[best_mapping].m_lo;
pDst_block->m_lo.m_r1 = pTable_r[best_mapping].m_hi;
pDst_block->m_lo.m_g1 = pTable_g[best_mapping].m_hi;
pDst_block->m_lo.m_b1 = pTable_b[best_mapping].m_hi;
}
uint32_t output_bits = 0, output_bit_ofs = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t s = pSelector->get_selector(x, y);
const uint32_t os = pSelectors_xlat[s] ^ s_inv;
output_bits |= (os << output_bit_ofs);
output_bit_ofs += (((x | y) == 0) ? 1 : 2);
}
}
set_block_bits((uint8_t*)pDst, output_bits, 31, 66);
}
static void convert_etc1s_to_bc7_m5_alpha(void* pDst, const endpoint* pEndpoints, const selector* pSelector)
{
bc7_mode_5* pDst_block = static_cast<bc7_mode_5*>(pDst);
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const uint32_t base_color_r = pEndpoints->m_color5.r;
const uint32_t inten_table = pEndpoints->m_inten5;
if (pSelector->m_num_unique_selectors == 1)
{
uint32_t r;
decoder_etc_block::get_block_color5_r(pEndpoints->m_color5, inten_table, low_selector, r);
pDst_block->m_lo.m_a0 = r;
pDst_block->m_lo.m_a1_0 = r & 63;
pDst_block->m_hi.m_a1_1 = r >> 6;
return;
}
else if (pSelector->m_num_unique_selectors == 2)
{
// Only one or two unique selectors, so just switch to block truncation coding (BTC) to avoid quality issues on extreme blocks.
int block_colors[4];
decoder_etc_block::get_block_colors5_g(block_colors, pEndpoints->m_color5, inten_table);
pDst_block->m_lo.m_a0 = block_colors[low_selector];
pDst_block->m_lo.m_a1_0 = block_colors[high_selector] & 63;
pDst_block->m_hi.m_a1_1 = block_colors[high_selector] >> 6;
uint32_t output_low_selector = 0, output_bit_offset = 0, output_bits = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t s = pSelector->get_selector(x, y);
uint32_t os = (s == low_selector) ? output_low_selector : (3 ^ output_low_selector);
uint32_t num_bits = 2;
if ((x | y) == 0)
{
if (os & 2)
{
pDst_block->m_lo.m_a0 = block_colors[high_selector];
pDst_block->m_lo.m_a1_0 = block_colors[low_selector] & 63;
pDst_block->m_hi.m_a1_1 = block_colors[low_selector] >> 6;
output_low_selector = 3;
os = 0;
}
num_bits = 1;
}
output_bits |= (os << output_bit_offset);
output_bit_offset += num_bits;
}
}
set_block_bits((uint8_t*)pDst, output_bits, 31, 97);
return;
}
const uint32_t selector_range_table = g_etc1_to_bc7_m5a_selector_range_index[low_selector][high_selector];
const etc1_g_to_bc7_m5a_conversion* pTable = &g_etc1_g_to_bc7_m5a[inten_table * (32 * NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES) + base_color_r * NUM_ETC1_TO_BC7_M5A_SELECTOR_RANGES + selector_range_table];
pDst_block->m_lo.m_a0 = pTable->m_lo;
pDst_block->m_lo.m_a1_0 = pTable->m_hi & 63;
pDst_block->m_hi.m_a1_1 = pTable->m_hi >> 6;
uint32_t output_bit_offset = 0, output_bits = 0, selector_trans = pTable->m_trans;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t s = pSelector->get_selector(x, y);
uint32_t os = (selector_trans >> (s * 2)) & 3;
uint32_t num_bits = 2;
if ((x | y) == 0)
{
if (os & 2)
{
pDst_block->m_lo.m_a0 = pTable->m_hi;
pDst_block->m_lo.m_a1_0 = pTable->m_lo & 63;
pDst_block->m_hi.m_a1_1 = pTable->m_lo >> 6;
selector_trans ^= 0xFF;
os ^= 3;
}
num_bits = 1;
}
output_bits |= (os << output_bit_offset);
output_bit_offset += num_bits;
}
}
set_block_bits((uint8_t*)pDst, output_bits, 31, 97);
}
#endif // BASISD_SUPPORT_BC7_MODE5
#if BASISD_SUPPORT_ETC2_EAC_A8 || BASISD_SUPPORT_UASTC
static const uint8_t g_etc2_eac_a8_sel4[6] = { 0x92, 0x49, 0x24, 0x92, 0x49, 0x24 };
#endif
#if BASISD_SUPPORT_ETC2_EAC_A8
static void convert_etc1s_to_etc2_eac_a8(eac_block* pDst_block, const endpoint* pEndpoints, const selector* pSelector)
{
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r;
decoder_etc_block::get_block_color5_r(base_color, inten_table, low_selector, r);
// Constant alpha block
// Select table 13, use selector 4 (0), set multiplier to 1 and base color g
pDst_block->m_base = r;
pDst_block->m_table = 13;
pDst_block->m_multiplier = 1;
// selectors are all 4's
memcpy(pDst_block->m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
return;
}
uint32_t selector_range_table = 0;
for (selector_range_table = 0; selector_range_table < NUM_ETC2_EAC_SELECTOR_RANGES; selector_range_table++)
if ((low_selector == s_etc2_eac_selector_ranges[selector_range_table].m_low) && (high_selector == s_etc2_eac_selector_ranges[selector_range_table].m_high))
break;
if (selector_range_table >= NUM_ETC2_EAC_SELECTOR_RANGES)
selector_range_table = 0;
const etc1_g_to_eac_conversion* pTable_entry = &s_etc1_g_to_etc2_a8[base_color.r + inten_table * 32][selector_range_table];
pDst_block->m_base = pTable_entry->m_base;
pDst_block->m_table = pTable_entry->m_table_mul >> 4;
pDst_block->m_multiplier = pTable_entry->m_table_mul & 15;
uint64_t selector_bits = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t ds = (pTable_entry->m_trans >> (s * 3)) & 7;
const uint32_t dst_ofs = 45 - (y + x * 4) * 3;
selector_bits |= (static_cast<uint64_t>(ds) << dst_ofs);
}
}
pDst_block->set_selector_bits(selector_bits);
}
#endif // BASISD_SUPPORT_ETC2_EAC_A8
#if BASISD_SUPPORT_ETC2_EAC_RG11
static const etc1_g_to_eac_conversion s_etc1_g_to_etc2_r11[32 * 8][NUM_ETC2_EAC_SELECTOR_RANGES] =
{
{{0,1,3328},{0,1,3328},{0,16,457},{0,16,456}},
{{0,226,3936},{0,226,3936},{0,17,424},{8,0,472}},
{{6,178,4012},{6,178,4008},{0,146,501},{16,0,472}},
{{14,178,4012},{14,178,4008},{8,146,501},{24,0,472}},
{{23,178,4012},{23,178,4008},{17,146,501},{33,0,472}},
{{31,178,4012},{31,178,4008},{25,146,501},{41,0,472}},
{{39,178,4012},{39,178,4008},{33,146,501},{49,0,472}},
{{47,178,4012},{47,178,4008},{41,146,501},{27,228,496}},
{{56,178,4012},{56,178,4008},{50,146,501},{36,228,496}},
{{64,178,4012},{64,178,4008},{58,146,501},{44,228,496}},
{{72,178,4012},{72,178,4008},{66,146,501},{52,228,496}},
{{80,178,4012},{80,178,4008},{74,146,501},{60,228,496}},
{{89,178,4012},{89,178,4008},{83,146,501},{69,228,496}},
{{97,178,4012},{97,178,4008},{91,146,501},{77,228,496}},
{{105,178,4012},{105,178,4008},{99,146,501},{85,228,496}},
{{113,178,4012},{113,178,4008},{107,146,501},{93,228,496}},
{{122,178,4012},{122,178,4008},{116,146,501},{102,228,496}},
{{130,178,4012},{130,178,4008},{124,146,501},{110,228,496}},
{{138,178,4012},{138,178,4008},{132,146,501},{118,228,496}},
{{146,178,4012},{146,178,4008},{140,146,501},{126,228,496}},
{{155,178,4012},{155,178,4008},{149,146,501},{135,228,496}},
{{163,178,4012},{163,178,4008},{157,146,501},{143,228,496}},
{{171,178,4012},{171,178,4008},{165,146,501},{151,228,496}},
{{179,178,4012},{179,178,4008},{173,146,501},{159,228,496}},
{{188,178,4012},{188,178,4008},{182,146,501},{168,228,496}},
{{196,178,4012},{196,178,4008},{190,146,501},{176,228,496}},
{{204,178,4012},{204,178,4008},{198,146,501},{184,228,496}},
{{212,178,4012},{212,178,4008},{206,146,501},{192,228,496}},
{{221,178,4012},{221,178,4008},{215,146,501},{201,228,496}},
{{229,178,4012},{229,178,4008},{223,146,501},{209,228,496}},
{{235,66,4012},{221,100,4008},{231,146,501},{217,228,496}},
{{211,102,4085},{254,32,4040},{211,102,501},{254,32,456}},
{{0,2,3328},{0,2,3328},{0,1,320},{0,1,320}},
{{7,162,3905},{7,162,3904},{0,17,480},{0,17,480}},
{{15,162,3906},{15,162,3904},{1,117,352},{1,117,352}},
{{23,162,3906},{23,162,3904},{5,34,500},{4,53,424}},
{{32,162,3906},{32,162,3904},{14,34,500},{3,69,424}},
{{40,162,3906},{40,162,3904},{22,34,500},{1,133,496}},
{{48,162,3906},{48,162,3904},{30,34,500},{4,85,496}},
{{56,162,3906},{56,162,3904},{38,34,500},{12,85,496}},
{{65,162,3906},{65,162,3904},{47,34,500},{1,106,424}},
{{73,162,3906},{73,162,3904},{55,34,500},{9,106,424}},
{{81,162,3906},{81,162,3904},{63,34,500},{7,234,496}},
{{89,162,3906},{89,162,3904},{71,34,500},{15,234,496}},
{{98,162,3906},{98,162,3904},{80,34,500},{24,234,496}},
{{106,162,3906},{106,162,3904},{88,34,500},{32,234,496}},
{{114,162,3906},{114,162,3904},{96,34,500},{40,234,496}},
{{122,162,3906},{122,162,3904},{104,34,500},{48,234,496}},
{{131,162,3906},{131,162,3904},{113,34,500},{57,234,496}},
{{139,162,3906},{139,162,3904},{121,34,500},{65,234,496}},
{{147,162,3906},{147,162,3904},{129,34,500},{73,234,496}},
{{155,162,3906},{155,162,3904},{137,34,500},{81,234,496}},
{{164,162,3906},{164,162,3904},{146,34,500},{90,234,496}},
{{172,162,3906},{172,162,3904},{154,34,500},{98,234,496}},
{{180,162,3906},{180,162,3904},{162,34,500},{106,234,496}},
{{188,162,3906},{188,162,3904},{170,34,500},{114,234,496}},
{{197,162,3906},{197,162,3904},{179,34,500},{123,234,496}},
{{205,162,3906},{205,162,3904},{187,34,500},{131,234,496}},
{{213,162,3906},{213,162,3904},{195,34,500},{139,234,496}},
{{221,162,3906},{221,162,3904},{203,34,500},{147,234,496}},
{{230,162,3906},{230,162,3904},{212,34,500},{156,234,496}},
{{238,162,3906},{174,106,4008},{220,34,500},{164,234,496}},
{{240,178,4001},{182,106,4008},{228,34,500},{172,234,496}},
{{166,108,4085},{115,31,4080},{166,108,501},{115,31,496}},
{{1,68,3328},{1,68,3328},{0,1,384},{0,1,384}},
{{1,51,3968},{1,51,3968},{0,2,384},{0,2,384}},
{{21,18,3851},{21,18,3848},{1,50,488},{1,50,488}},
{{26,195,3851},{29,18,3848},{0,67,488},{0,67,488}},
{{35,195,3851},{38,18,3848},{12,115,488},{0,3,496}},
{{43,195,3851},{46,18,3848},{20,115,488},{2,6,424}},
{{51,195,3851},{54,18,3848},{36,66,482},{4,22,424}},
{{59,195,3851},{62,18,3848},{44,66,482},{3,73,424}},
{{68,195,3851},{71,18,3848},{53,66,482},{3,22,496}},
{{76,195,3851},{79,18,3848},{61,66,482},{2,137,496}},
{{84,195,3851},{87,18,3848},{69,66,482},{1,89,496}},
{{92,195,3851},{95,18,3848},{77,66,482},{9,89,496}},
{{101,195,3851},{104,18,3848},{86,66,482},{18,89,496}},
{{109,195,3851},{112,18,3848},{94,66,482},{26,89,496}},
{{117,195,3851},{120,18,3848},{102,66,482},{34,89,496}},
{{125,195,3851},{128,18,3848},{110,66,482},{42,89,496}},
{{134,195,3851},{137,18,3848},{119,66,482},{51,89,496}},
{{141,195,3907},{145,18,3848},{127,66,482},{59,89,496}},
{{149,195,3907},{153,18,3848},{135,66,482},{67,89,496}},
{{157,195,3907},{161,18,3848},{143,66,482},{75,89,496}},
{{166,195,3907},{170,18,3848},{152,66,482},{84,89,496}},
{{174,195,3907},{178,18,3848},{160,66,482},{92,89,496}},
{{182,195,3907},{186,18,3848},{168,66,482},{100,89,496}},
{{190,195,3907},{194,18,3848},{176,66,482},{108,89,496}},
{{199,195,3907},{203,18,3848},{185,66,482},{117,89,496}},
{{207,195,3907},{211,18,3848},{193,66,482},{125,89,496}},
{{215,195,3907},{219,18,3848},{201,66,482},{133,89,496}},
{{223,195,3907},{227,18,3848},{209,66,482},{141,89,496}},
{{232,195,3907},{168,89,4008},{218,66,482},{150,89,496}},
{{236,18,3907},{176,89,4008},{226,66,482},{158,89,496}},
{{158,90,4085},{103,31,4080},{158,90,501},{103,31,496}},
{{166,90,4085},{111,31,4080},{166,90,501},{111,31,496}},
{{0,70,3328},{0,70,3328},{0,17,448},{0,17,448}},
{{0,117,3904},{0,117,3904},{0,35,384},{0,35,384}},
{{13,165,3905},{13,165,3904},{2,211,480},{2,211,480}},
{{21,165,3906},{21,165,3904},{1,51,488},{1,51,488}},
{{30,165,3906},{30,165,3904},{7,61,352},{7,61,352}},
{{38,165,3906},{38,165,3904},{2,125,352},{2,125,352}},
{{46,165,3906},{46,165,3904},{1,37,500},{10,125,352}},
{{54,165,3906},{54,165,3904},{9,37,500},{5,61,424}},
{{63,165,3906},{63,165,3904},{18,37,500},{1,189,424}},
{{71,165,3906},{71,165,3904},{26,37,500},{9,189,424}},
{{79,165,3906},{79,165,3904},{34,37,500},{4,77,424}},
{{87,165,3906},{87,165,3904},{42,37,500},{12,77,424}},
{{96,165,3906},{96,165,3904},{51,37,500},{8,93,424}},
{{104,165,3906},{104,165,3904},{59,37,500},{3,141,496}},
{{112,165,3906},{112,165,3904},{68,37,500},{11,141,496}},
{{120,165,3906},{120,165,3904},{76,37,500},{6,93,496}},
{{129,165,3906},{129,165,3904},{85,37,500},{15,93,496}},
{{70,254,4012},{137,165,3904},{93,37,500},{23,93,496}},
{{145,165,3906},{145,165,3904},{101,37,500},{31,93,496}},
{{86,254,4012},{153,165,3904},{109,37,500},{39,93,496}},
{{163,165,3906},{162,165,3904},{118,37,500},{48,93,496}},
{{171,165,3906},{170,165,3904},{126,37,500},{56,93,496}},
{{179,165,3906},{178,165,3904},{134,37,500},{64,93,496}},
{{187,165,3906},{187,165,3904},{142,37,500},{72,93,496}},
{{196,165,3906},{196,165,3904},{151,37,500},{81,93,496}},
{{204,165,3906},{204,165,3904},{159,37,500},{89,93,496}},
{{212,165,3906},{136,77,4008},{167,37,500},{97,93,496}},
{{220,165,3906},{131,93,4008},{175,37,500},{105,93,496}},
{{214,181,4001},{140,93,4008},{184,37,500},{114,93,496}},
{{222,181,4001},{148,93,4008},{192,37,500},{122,93,496}},
{{115,95,4085},{99,31,4080},{115,95,501},{99,31,496}},
{{123,95,4085},{107,31,4080},{123,95,501},{107,31,496}},
{{0,102,3840},{0,102,3840},{0,18,384},{0,18,384}},
{{5,167,3904},{5,167,3904},{0,13,256},{0,13,256}},
{{4,54,3968},{4,54,3968},{1,67,448},{1,67,448}},
{{30,198,3850},{30,198,3848},{0,3,480},{0,3,480}},
{{39,198,3850},{39,198,3848},{3,52,488},{3,52,488}},
{{47,198,3851},{47,198,3848},{3,4,488},{3,4,488}},
{{55,198,3851},{55,198,3848},{1,70,488},{1,70,488}},
{{53,167,3906},{63,198,3848},{3,22,488},{3,22,488}},
{{62,167,3906},{72,198,3848},{24,118,488},{0,6,496}},
{{70,167,3906},{80,198,3848},{32,118,488},{2,89,488}},
{{78,167,3906},{88,198,3848},{40,118,488},{1,73,496}},
{{86,167,3906},{96,198,3848},{48,118,488},{0,28,424}},
{{95,167,3906},{105,198,3848},{57,118,488},{9,28,424}},
{{103,167,3906},{113,198,3848},{65,118,488},{5,108,496}},
{{111,167,3906},{121,198,3848},{73,118,488},{13,108,496}},
{{119,167,3906},{129,198,3848},{81,118,488},{21,108,496}},
{{128,167,3906},{138,198,3848},{90,118,488},{6,28,496}},
{{136,167,3906},{146,198,3848},{98,118,488},{14,28,496}},
{{145,167,3906},{154,198,3848},{106,118,488},{22,28,496}},
{{153,167,3906},{162,198,3848},{114,118,488},{30,28,496}},
{{162,167,3906},{171,198,3848},{123,118,488},{39,28,496}},
{{170,167,3906},{179,198,3848},{131,118,488},{47,28,496}},
{{178,167,3906},{187,198,3848},{139,118,488},{55,28,496}},
{{186,167,3906},{195,198,3848},{147,118,488},{63,28,496}},
{{194,167,3906},{120,12,4008},{156,118,488},{72,28,496}},
{{206,198,3907},{116,28,4008},{164,118,488},{80,28,496}},
{{214,198,3907},{124,28,4008},{172,118,488},{88,28,496}},
{{222,198,3395},{132,28,4008},{180,118,488},{96,28,496}},
{{207,134,4001},{141,28,4008},{189,118,488},{105,28,496}},
{{95,30,4085},{86,31,4080},{95,30,501},{86,31,496}},
{{103,30,4085},{94,31,4080},{103,30,501},{94,31,496}},
{{111,30,4085},{102,31,4080},{111,30,501},{102,31,496}},
{{0,104,3840},{0,104,3840},{0,18,448},{0,18,448}},
{{4,39,3904},{4,39,3904},{0,4,384},{0,4,384}},
{{0,56,3968},{0,56,3968},{0,84,448},{0,84,448}},
{{6,110,3328},{6,110,3328},{0,20,448},{0,20,448}},
{{41,200,3850},{41,200,3848},{1,4,480},{1,4,480}},
{{49,200,3850},{49,200,3848},{1,8,416},{1,8,416}},
{{57,200,3851},{57,200,3848},{1,38,488},{1,38,488}},
{{65,200,3851},{65,200,3848},{1,120,488},{1,120,488}},
{{74,200,3851},{74,200,3848},{2,72,488},{2,72,488}},
{{68,6,3907},{82,200,3848},{2,24,488},{2,24,488}},
{{77,6,3907},{90,200,3848},{26,120,488},{10,24,488}},
{{97,63,3330},{98,200,3848},{34,120,488},{2,8,496}},
{{106,63,3330},{107,200,3848},{43,120,488},{3,92,488}},
{{114,63,3330},{115,200,3848},{51,120,488},{11,92,488}},
{{122,63,3330},{123,200,3848},{59,120,488},{7,76,496}},
{{130,63,3330},{131,200,3848},{67,120,488},{15,76,496}},
{{139,63,3330},{140,200,3848},{76,120,488},{24,76,496}},
{{147,63,3330},{148,200,3848},{84,120,488},{32,76,496}},
{{155,63,3330},{156,200,3848},{92,120,488},{40,76,496}},
{{164,63,3330},{164,200,3848},{100,120,488},{48,76,496}},
{{173,63,3330},{173,200,3848},{109,120,488},{57,76,496}},
{{184,6,3851},{181,200,3848},{117,120,488},{65,76,496}},
{{192,6,3851},{133,28,3936},{125,120,488},{73,76,496}},
{{189,200,3907},{141,28,3936},{133,120,488},{81,76,496}},
{{198,200,3907},{138,108,4000},{142,120,488},{90,76,496}},
{{206,200,3907},{146,108,4000},{150,120,488},{98,76,496}},
{{214,200,3395},{154,108,4000},{158,120,488},{106,76,496}},
{{190,136,4001},{162,108,4000},{166,120,488},{114,76,496}},
{{123,30,4076},{87,15,4080},{123,30,492},{87,15,496}},
{{117,110,4084},{80,31,4080},{117,110,500},{80,31,496}},
{{125,110,4084},{88,31,4080},{125,110,500},{88,31,496}},
{{133,110,4084},{96,31,4080},{133,110,500},{96,31,496}},
{{9,56,3904},{9,56,3904},{0,67,448},{0,67,448}},
{{1,8,3904},{1,8,3904},{1,84,448},{1,84,448}},
{{1,124,3904},{1,124,3904},{0,39,384},{0,39,384}},
{{9,124,3904},{9,124,3904},{1,4,448},{1,4,448}},
{{6,76,3904},{6,76,3904},{0,70,448},{0,70,448}},
{{62,6,3859},{62,6,3856},{2,38,480},{2,38,480}},
{{70,6,3859},{70,6,3856},{5,43,416},{5,43,416}},
{{78,6,3859},{78,6,3856},{2,11,416},{2,11,416}},
{{87,6,3859},{87,6,3856},{0,171,488},{0,171,488}},
{{67,8,3906},{95,6,3856},{8,171,488},{8,171,488}},
{{75,8,3907},{103,6,3856},{5,123,488},{5,123,488}},
{{83,8,3907},{111,6,3856},{2,75,488},{2,75,488}},
{{92,8,3907},{120,6,3856},{0,27,488},{0,27,488}},
{{100,8,3907},{128,6,3856},{8,27,488},{8,27,488}},
{{120,106,3843},{136,6,3856},{99,6,387},{16,27,488}},
{{128,106,3843},{144,6,3856},{107,6,387},{2,11,496}},
{{137,106,3843},{153,6,3856},{117,6,387},{11,11,496}},
{{145,106,3843},{161,6,3856},{125,6,387},{19,11,496}},
{{163,8,3851},{137,43,3904},{133,6,387},{27,11,496}},
{{171,8,3851},{145,43,3904},{141,6,387},{35,11,496}},
{{180,8,3851},{110,11,4000},{150,6,387},{44,11,496}},
{{188,8,3851},{118,11,4000},{158,6,387},{52,11,496}},
{{172,72,3907},{126,11,4000},{166,6,387},{60,11,496}},
{{174,6,3971},{134,11,4000},{174,6,387},{68,11,496}},
{{183,6,3971},{143,11,4000},{183,6,387},{77,11,496}},
{{191,6,3971},{151,11,4000},{191,6,387},{85,11,496}},
{{199,6,3971},{159,11,4000},{199,6,387},{93,11,496}},
{{92,12,4084},{69,15,4080},{92,12,500},{69,15,496}},
{{101,12,4084},{78,15,4080},{101,12,500},{78,15,496}},
{{110,12,4084},{86,15,4080},{110,12,500},{86,15,496}},
{{118,12,4084},{79,31,4080},{118,12,500},{79,31,496}},
{{126,12,4084},{87,31,4080},{126,12,500},{87,31,496}},
{{71,8,3602},{71,8,3600},{2,21,384},{2,21,384}},
{{79,8,3611},{79,8,3608},{0,69,448},{0,69,448}},
{{87,8,3611},{87,8,3608},{0,23,384},{0,23,384}},
{{95,8,3611},{95,8,3608},{1,5,448},{1,5,448}},
{{104,8,3611},{104,8,3608},{0,88,448},{0,88,448}},
{{112,8,3611},{112,8,3608},{0,72,448},{0,72,448}},
{{120,8,3611},{121,8,3608},{36,21,458},{36,21,456}},
{{133,47,3091},{129,8,3608},{44,21,458},{44,21,456}},
{{142,47,3091},{138,8,3608},{53,21,459},{53,21,456}},
{{98,12,3850},{98,12,3848},{61,21,459},{61,21,456}},
{{106,12,3850},{106,12,3848},{10,92,480},{69,21,456}},
{{114,12,3851},{114,12,3848},{18,92,480},{77,21,456}},
{{123,12,3851},{123,12,3848},{3,44,488},{86,21,456}},
{{95,12,3906},{95,12,3904},{11,44,488},{94,21,456}},
{{103,12,3906},{103,12,3904},{19,44,488},{102,21,456}},
{{111,12,3907},{111,12,3904},{27,44,489},{110,21,456}},
{{120,12,3907},{120,12,3904},{36,44,489},{119,21,456}},
{{128,12,3907},{128,12,3904},{44,44,489},{127,21,456}},
{{136,12,3907},{136,12,3904},{52,44,489},{135,21,456}},
{{144,12,3907},{144,12,3904},{60,44,490},{144,21,456}},
{{153,12,3907},{153,12,3904},{69,44,490},{153,21,456}},
{{161,12,3395},{149,188,3968},{77,44,490},{161,21,456}},
{{169,12,3395},{199,21,3928},{85,44,490},{169,21,456}},
{{113,95,4001},{202,69,3992},{125,8,483},{177,21,456}},
{{122,95,4001},{201,21,3984},{134,8,483},{186,21,456}},
{{143,8,4067},{209,21,3984},{142,8,483},{194,21,456}},
{{151,8,4067},{47,15,4080},{151,8,483},{47,15,496}},
{{159,8,4067},{55,15,4080},{159,8,483},{55,15,496}},
{{168,8,4067},{64,15,4080},{168,8,483},{64,15,496}},
{{160,40,4075},{72,15,4080},{160,40,491},{72,15,496}},
{{168,40,4075},{80,15,4080},{168,40,491},{80,15,496}},
{{144,8,4082},{88,15,4080},{144,8,498},{88,15,496}},
};
static void convert_etc1s_to_etc2_eac_r11(eac_block* pDst_block, const endpoint* pEndpoints, const selector* pSelector)
{
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r;
decoder_etc_block::get_block_color5_r(base_color, inten_table, low_selector, r);
// Constant alpha block
// Select table 13, use selector 4 (0), set multiplier to 1 and base color r
pDst_block->m_base = r;
pDst_block->m_table = 13;
pDst_block->m_multiplier = 1;
// selectors are all 4's
static const uint8_t s_etc2_eac_r11_sel4[6] = { 0x92, 0x49, 0x24, 0x92, 0x49, 0x24 };
memcpy(pDst_block->m_selectors, s_etc2_eac_r11_sel4, sizeof(s_etc2_eac_r11_sel4));
return;
}
uint32_t selector_range_table = 0;
for (selector_range_table = 0; selector_range_table < NUM_ETC2_EAC_SELECTOR_RANGES; selector_range_table++)
if ((low_selector == s_etc2_eac_selector_ranges[selector_range_table].m_low) && (high_selector == s_etc2_eac_selector_ranges[selector_range_table].m_high))
break;
if (selector_range_table >= NUM_ETC2_EAC_SELECTOR_RANGES)
selector_range_table = 0;
const etc1_g_to_eac_conversion* pTable_entry = &s_etc1_g_to_etc2_r11[base_color.r + inten_table * 32][selector_range_table];
pDst_block->m_base = pTable_entry->m_base;
pDst_block->m_table = pTable_entry->m_table_mul >> 4;
pDst_block->m_multiplier = pTable_entry->m_table_mul & 15;
uint64_t selector_bits = 0;
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t ds = (pTable_entry->m_trans >> (s * 3)) & 7;
const uint32_t dst_ofs = 45 - (y + x * 4) * 3;
selector_bits |= (static_cast<uint64_t>(ds) << dst_ofs);
}
}
pDst_block->set_selector_bits(selector_bits);
}
#endif // BASISD_SUPPORT_ETC2_EAC_RG11
// ASTC
struct etc1_to_astc_solution
{
uint8_t m_lo;
uint8_t m_hi;
uint16_t m_err;
};
#if BASISD_SUPPORT_ASTC
static dxt_selector_range g_etc1_to_astc_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 },
};
const uint32_t NUM_ETC1_TO_ASTC_SELECTOR_RANGES = sizeof(g_etc1_to_astc_selector_ranges) / sizeof(g_etc1_to_astc_selector_ranges[0]);
static uint32_t g_etc1_to_astc_selector_range_index[4][4];
const uint32_t NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS = 10;
static const uint8_t g_etc1_to_astc_selector_mappings[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS][4] =
{
{ 0, 0, 1, 1 },
{ 0, 0, 1, 2 },
{ 0, 0, 1, 3 },
{ 0, 0, 2, 3 },
{ 0, 1, 1, 1 },
{ 0, 1, 2, 2 },
{ 0, 1, 2, 3 },
{ 0, 2, 3, 3 },
{ 1, 2, 2, 2 },
{ 1, 2, 3, 3 },
};
static const etc1_to_astc_solution g_etc1_to_astc[32 * 8 * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS * NUM_ETC1_TO_ASTC_SELECTOR_RANGES] = {
#include "basisu_transcoder_tables_astc.inc"
};
// The best selector mapping to use given a base base+inten table and used selector range for converting grayscale data.
static uint8_t g_etc1_to_astc_best_grayscale_mapping[32][8][NUM_ETC1_TO_ASTC_SELECTOR_RANGES];
#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
static const etc1_to_astc_solution g_etc1_to_astc_0_255[32 * 8 * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS * NUM_ETC1_TO_ASTC_SELECTOR_RANGES] = {
#include "basisu_transcoder_tables_astc_0_255.inc"
};
static uint8_t g_etc1_to_astc_best_grayscale_mapping_0_255[32][8][NUM_ETC1_TO_ASTC_SELECTOR_RANGES];
#endif
static uint32_t g_ise_to_unquant[48];
#if BASISD_WRITE_NEW_ASTC_TABLES
static void create_etc1_to_astc_conversion_table_0_47()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_astc.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_astc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_astc_selector_ranges[sr].m_high;
uint32_t mapping_best_low[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t mapping_best_high[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint64_t mapping_best_err[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint64_t highest_best_err = 0;
for (uint32_t m = 0; m < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 47; hi++)
{
for (uint32_t lo = 0; lo <= 47; lo++)
{
uint32_t colors[4];
for (uint32_t s = 0; s < 4; s++)
{
uint32_t s_scaled = s | (s << 2) | (s << 4);
if (s_scaled > 32)
s_scaled++;
uint32_t c0 = g_ise_to_unquant[lo] | (g_ise_to_unquant[lo] << 8);
uint32_t c1 = g_ise_to_unquant[hi] | (g_ise_to_unquant[hi] << 8);
colors[s] = ((c0 * (64 - s_scaled) + c1 * s_scaled + 32) / 64) >> 8;
}
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_astc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 8;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
mapping_best_low[m] = best_lo;
mapping_best_high[m] = best_hi;
mapping_best_err[m] = best_err;
highest_best_err = basisu::maximum(highest_best_err, best_err);
} // m
for (uint32_t m = 0; m < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; m++)
{
uint64_t err = mapping_best_err[m];
err = basisu::minimum<uint64_t>(err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", mapping_best_low[m], mapping_best_high[m], (uint32_t)err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
static void create_etc1_to_astc_conversion_table_0_255()
{
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_astc_0_255.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1_to_astc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1_to_astc_selector_ranges[sr].m_high;
uint32_t mapping_best_low[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t mapping_best_high[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint64_t mapping_best_err[NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint64_t highest_best_err = 0;
for (uint32_t m = 0; m < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 255; hi++)
{
for (uint32_t lo = 0; lo <= 255; lo++)
{
uint32_t colors[4];
for (uint32_t s = 0; s < 4; s++)
{
uint32_t s_scaled = s | (s << 2) | (s << 4);
if (s_scaled > 32)
s_scaled++;
uint32_t c0 = lo | (lo << 8);
uint32_t c1 = hi | (hi << 8);
colors[s] = ((c0 * (64 - s_scaled) + c1 * s_scaled + 32) / 64) >> 8;
}
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1_to_astc_selector_mappings[m][s]];
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
int err_scale = 1;
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 8;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
mapping_best_low[m] = best_lo;
mapping_best_high[m] = best_hi;
mapping_best_err[m] = best_err;
highest_best_err = basisu::maximum(highest_best_err, best_err);
} // m
for (uint32_t m = 0; m < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; m++)
{
uint64_t err = mapping_best_err[m];
err = basisu::minimum<uint64_t>(err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", mapping_best_low[m], mapping_best_high[m], (uint32_t)err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
#endif
#endif
#if BASISD_SUPPORT_UASTC || BASISD_SUPPORT_ASTC
// Table encodes 5 trits to 8 output bits. 3^5 entries.
// Inverse of the trit bit manipulation process in https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-integer-sequence-encoding
static const uint8_t g_astc_trit_encode[243] = { 0, 1, 2, 4, 5, 6, 8, 9, 10, 16, 17, 18, 20, 21, 22, 24, 25, 26, 3, 7, 11, 19, 23, 27, 12, 13, 14, 32, 33, 34, 36, 37, 38, 40, 41, 42, 48, 49, 50, 52, 53, 54, 56, 57, 58, 35, 39,
43, 51, 55, 59, 44, 45, 46, 64, 65, 66, 68, 69, 70, 72, 73, 74, 80, 81, 82, 84, 85, 86, 88, 89, 90, 67, 71, 75, 83, 87, 91, 76, 77, 78, 128, 129, 130, 132, 133, 134, 136, 137, 138, 144, 145, 146, 148, 149, 150, 152, 153, 154,
131, 135, 139, 147, 151, 155, 140, 141, 142, 160, 161, 162, 164, 165, 166, 168, 169, 170, 176, 177, 178, 180, 181, 182, 184, 185, 186, 163, 167, 171, 179, 183, 187, 172, 173, 174, 192, 193, 194, 196, 197, 198, 200, 201, 202,
208, 209, 210, 212, 213, 214, 216, 217, 218, 195, 199, 203, 211, 215, 219, 204, 205, 206, 96, 97, 98, 100, 101, 102, 104, 105, 106, 112, 113, 114, 116, 117, 118, 120, 121, 122, 99, 103, 107, 115, 119, 123, 108, 109, 110, 224,
225, 226, 228, 229, 230, 232, 233, 234, 240, 241, 242, 244, 245, 246, 248, 249, 250, 227, 231, 235, 243, 247, 251, 236, 237, 238, 28, 29, 30, 60, 61, 62, 92, 93, 94, 156, 157, 158, 188, 189, 190, 220, 221, 222, 31, 63, 95, 159,
191, 223, 124, 125, 126 };
// Extracts bits [low,high]
static inline uint32_t astc_extract_bits(uint32_t bits, int low, int high)
{
return (bits >> low) & ((1 << (high - low + 1)) - 1);
}
// Writes bits to output in an endian safe way
static inline void astc_set_bits(uint32_t* pOutput, int& bit_pos, uint32_t value, uint32_t total_bits)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
while (total_bits)
{
const uint32_t bits_to_write = basisu::minimum<int>(total_bits, 8 - (bit_pos & 7));
pBytes[bit_pos >> 3] |= static_cast<uint8_t>(value << (bit_pos & 7));
bit_pos += bits_to_write;
total_bits -= bits_to_write;
value >>= bits_to_write;
}
}
// Encodes 5 values to output, usable for any range that uses trits and bits
static void astc_encode_trits(uint32_t* pOutput, const uint8_t* pValues, int& bit_pos, int n)
{
// First extract the trits and the bits from the 5 input values
int trits = 0, bits[5];
const uint32_t bit_mask = (1 << n) - 1;
for (int i = 0; i < 5; i++)
{
static const int s_muls[5] = { 1, 3, 9, 27, 81 };
const int t = pValues[i] >> n;
trits += t * s_muls[i];
bits[i] = pValues[i] & bit_mask;
}
// Encode the trits, by inverting the bit manipulations done by the decoder, converting 5 trits into 8-bits.
// See https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-integer-sequence-encoding
assert(trits < 243);
const int T = g_astc_trit_encode[trits];
// Now interleave the 8 encoded trit bits with the bits to form the encoded output. See table 94.
astc_set_bits(pOutput, bit_pos, bits[0] | (astc_extract_bits(T, 0, 1) << n) | (bits[1] << (2 + n)), n * 2 + 2);
astc_set_bits(pOutput, bit_pos, astc_extract_bits(T, 2, 3) | (bits[2] << 2) | (astc_extract_bits(T, 4, 4) << (2 + n)) | (bits[3] << (3 + n)) | (astc_extract_bits(T, 5, 6) << (3 + n * 2)) |
(bits[4] << (5 + n * 2)) | (astc_extract_bits(T, 7, 7) << (5 + n * 3)), n * 3 + 6);
}
#endif // #if BASISD_SUPPORT_UASTC || BASISD_SUPPORT_ASTC
#if BASISD_SUPPORT_ASTC
struct astc_block_params
{
// 2 groups of 5, but only a max of 8 are used (RRGGBBAA00)
uint8_t m_endpoints[10];
uint8_t m_weights[32];
};
// Packs a single format ASTC block using Color Endpoint Mode 12 (LDR RGBA direct), endpoint BISE range 13, 2-bit weights (range 2).
// We're always going to output blocks containing alpha, even if the input doesn't have alpha, for simplicity.
// Each block always has 4x4 weights, uses range 13 BISE encoding on the endpoints (0-47), and each weight ranges from 0-3. This encoding should be roughly equal in quality vs. BC1 for color.
// 8 total endpoints, stored as RGBA LH LH LH LH order, each ranging from 0-47.
// Note the input [0,47] endpoint values are not linear - they are encoded as outlined in the ASTC spec:
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-endpoint-unquantization
// 32 total weights, stored as 16 CA CA, each ranging from 0-3.
static void astc_pack_block_cem_12_weight_range2(uint32_t *pOutput, const astc_block_params* pBlock)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
// Write constant block mode, color component selector, number of partitions, color endpoint mode
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#_block_mode
pBytes[0] = 0x42; pBytes[1] = 0x84; pBytes[2] = 0x01; pBytes[3] = 0x00;
pBytes[4] = 0x00; pBytes[5] = 0x00; pBytes[6] = 0x00; pBytes[7] = 0xc0;
pOutput[2] = 0;
pOutput[3] = 0;
// Pack 8 endpoints (each ranging between [0,47]) using BISE starting at bit 17
int bit_pos = 17;
astc_encode_trits(pOutput, pBlock->m_endpoints, bit_pos, 4);
astc_encode_trits(pOutput, pBlock->m_endpoints + 5, bit_pos, 4);
// Pack 32 2-bit weights, which are stored from the top down into the block in opposite bit order.
for (uint32_t i = 0; i < 32; i++)
{
static const uint8_t s_reverse_bits[4] = { 0, 2, 1, 3 };
const uint32_t ofs = 126 - (i * 2);
pBytes[ofs >> 3] |= (s_reverse_bits[pBlock->m_weights[i]] << (ofs & 7));
}
}
// CEM mode 12 (LDR RGBA Direct), 8-bit endpoints, 1-bit weights
// This ASTC mode is basically block truncation coding (BTC) using 1-bit weights and 8-bit/component endpoints - very convenient.
static void astc_pack_block_cem_12_weight_range0(uint32_t* pOutput, const astc_block_params* pBlock)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
// Write constant block mode, color component selector, number of partitions, color endpoint mode
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#_block_mode
pBytes[0] = 0x41; pBytes[1] = 0x84; pBytes[2] = 0x01; pBytes[3] = 0x00;
pOutput[1] = 0;
pBytes[8] = 0x00; pBytes[9] = 0x00; pBytes[10] = 0x00; pBytes[11] = 0xc0;
pOutput[3] = 0;
// Pack 8 endpoints (each ranging between [0,255]) as 8-bits starting at bit 17
int bit_pos = 17;
for (uint32_t i = 0; i < 8; i++)
astc_set_bits(pOutput, bit_pos, pBlock->m_endpoints[i], 8);
// Pack 32 1-bit weights, which are stored from the top down into the block in opposite bit order.
for (uint32_t i = 0; i < 32; i++)
{
const uint32_t ofs = 127 - i;
pBytes[ofs >> 3] |= (pBlock->m_weights[i] << (ofs & 7));
}
}
#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
// Optional 8-bit endpoint packing functions.
// CEM mode 4 (LDR Luminance+Alpha Direct), 8-bit endpoints, 2 bit weights
static void astc_pack_block_cem_4_weight_range2(uint32_t* pOutput, const astc_block_params* pBlock)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
// Write constant block mode, color component selector, number of partitions, color endpoint mode
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#_block_mode
pBytes[0] = 0x42; pBytes[1] = 0x84; pBytes[2] = 0x00; pBytes[3] = 0x00;
pBytes[4] = 0x00; pBytes[5] = 0x00; pBytes[6] = 0x00; pBytes[7] = 0xc0;
pOutput[2] = 0;
pOutput[3] = 0;
// Pack 4 endpoints (each ranging between [0,255]) as 8-bits starting at bit 17
int bit_pos = 17;
for (uint32_t i = 0; i < 4; i++)
astc_set_bits(pOutput, bit_pos, pBlock->m_endpoints[i], 8);
// Pack 32 2-bit weights, which are stored from the top down into the block in opposite bit order.
for (uint32_t i = 0; i < 32; i++)
{
static const uint8_t s_reverse_bits[4] = { 0, 2, 1, 3 };
const uint32_t ofs = 126 - (i * 2);
pBytes[ofs >> 3] |= (s_reverse_bits[pBlock->m_weights[i]] << (ofs & 7));
}
}
// CEM mode 8 (LDR RGB Direct), 8-bit endpoints, 2 bit weights
static void astc_pack_block_cem_8_weight_range2(uint32_t* pOutput, const astc_block_params* pBlock)
{
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pOutput);
// Write constant block mode, color component selector, number of partitions, color endpoint mode
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#_block_mode
pBytes[0] = 0x42; pBytes[1] = 0x00; pBytes[2] = 0x01; pBytes[3] = 0x00;
pOutput[1] = 0;
pOutput[2] = 0;
pOutput[3] = 0;
// Pack 6 endpoints (each ranging between [0,255]) as 8-bits starting at bit 17
int bit_pos = 17;
for (uint32_t i = 0; i < 6; i++)
astc_set_bits(pOutput, bit_pos, pBlock->m_endpoints[i], 8);
// Pack 16 2-bit weights, which are stored from the top down into the block in opposite bit order.
for (uint32_t i = 0; i < 16; i++)
{
static const uint8_t s_reverse_bits[4] = { 0, 2, 1, 3 };
const uint32_t ofs = 126 - (i * 2);
pBytes[ofs >> 3] |= (s_reverse_bits[pBlock->m_weights[i]] << (ofs & 7));
}
}
#endif
// Optimal quantized [0,47] entry to use given [0,255] input
static uint8_t g_astc_single_color_encoding_0[256];
// Optimal quantized [0,47] low/high values given [0,255] input assuming a selector of 1
static struct
{
uint8_t m_lo, m_hi;
} g_astc_single_color_encoding_1[256];
static void transcoder_init_astc()
{
for (uint32_t base_color = 0; base_color < 32; base_color++)
{
for (uint32_t inten_table = 0; inten_table < 8; inten_table++)
{
for (uint32_t range_index = 0; range_index < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; range_index++)
{
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc[(inten_table * 32 + base_color) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + range_index * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t best_mapping = 0;
uint32_t best_err = UINT32_MAX;
for (uint32_t mapping_index = 0; mapping_index < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; mapping_index++)
{
if (pTable_g[mapping_index].m_err < best_err)
{
best_err = pTable_g[mapping_index].m_err;
best_mapping = mapping_index;
}
}
g_etc1_to_astc_best_grayscale_mapping[base_color][inten_table][range_index] = static_cast<uint8_t>(best_mapping);
}
}
}
#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
for (uint32_t base_color = 0; base_color < 32; base_color++)
{
for (uint32_t inten_table = 0; inten_table < 8; inten_table++)
{
for (uint32_t range_index = 0; range_index < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; range_index++)
{
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + range_index * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t best_mapping = 0;
uint32_t best_err = UINT32_MAX;
for (uint32_t mapping_index = 0; mapping_index < NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS; mapping_index++)
{
if (pTable_g[mapping_index].m_err < best_err)
{
best_err = pTable_g[mapping_index].m_err;
best_mapping = mapping_index;
}
}
g_etc1_to_astc_best_grayscale_mapping_0_255[base_color][inten_table][range_index] = static_cast<uint8_t>(best_mapping);
}
}
}
#endif
for (uint32_t i = 0; i < NUM_ETC1_TO_ASTC_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1_to_astc_selector_ranges[i].m_low;
uint32_t h = g_etc1_to_astc_selector_ranges[i].m_high;
g_etc1_to_astc_selector_range_index[l][h] = i;
}
// Endpoint dequantization, see:
// https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-endpoint-unquantization
for (uint32_t trit = 0; trit < 3; trit++)
{
for (uint32_t bit = 0; bit < 16; bit++)
{
const uint32_t A = (bit & 1) ? 511 : 0;
const uint32_t B = (bit >> 1) | ((bit >> 1) << 6);
const uint32_t C = 22;
const uint32_t D = trit;
uint32_t unq = D * C + B;
unq = unq ^ A;
unq = (A & 0x80) | (unq >> 2);
g_ise_to_unquant[bit | (trit << 4)] = unq;
}
}
// Compute table used for optimal single color encoding.
for (int i = 0; i < 256; i++)
{
int lowest_e = INT_MAX;
for (int lo = 0; lo < 48; lo++)
{
for (int hi = 0; hi < 48; hi++)
{
const int lo_v = g_ise_to_unquant[lo];
const int hi_v = g_ise_to_unquant[hi];
int l = lo_v | (lo_v << 8);
int h = hi_v | (hi_v << 8);
int v = ((l * (64 - 21) + (h * 21) + 32) / 64) >> 8;
int e = abs(v - i);
if (e < lowest_e)
{
g_astc_single_color_encoding_1[i].m_hi = static_cast<uint8_t>(hi);
g_astc_single_color_encoding_1[i].m_lo = static_cast<uint8_t>(lo);
lowest_e = e;
}
} // hi
} // lo
}
for (int i = 0; i < 256; i++)
{
int lowest_e = INT_MAX;
for (int lo = 0; lo < 48; lo++)
{
const int lo_v = g_ise_to_unquant[lo];
int e = abs(lo_v - i);
if (e < lowest_e)
{
g_astc_single_color_encoding_0[i] = static_cast<uint8_t>(lo);
lowest_e = e;
}
} // lo
}
}
// Converts opaque or color+alpha ETC1S block to ASTC 4x4.
// This function tries to use the best ASTC mode given the block's actual contents.
static void convert_etc1s_to_astc_4x4(void* pDst_block, const endpoint* pEndpoints, const selector* pSelector,
bool transcode_alpha, const endpoint *pEndpoint_codebook, const selector *pSelector_codebook)
{
astc_block_params blk;
blk.m_endpoints[8] = 0;
blk.m_endpoints[9] = 0;
int constant_alpha_val = 255;
int num_unique_alpha_selectors = 1;
if (transcode_alpha)
{
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pDst_block)[1]];
num_unique_alpha_selectors = alpha_selectors.m_num_unique_selectors;
if (num_unique_alpha_selectors == 1)
{
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pDst_block)[0]];
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
constant_alpha_val = alpha_block_colors[alpha_selectors.m_lo_selector];
}
}
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
// Handle solid color or BTC blocks, which can always be encoded from ETC1S to ASTC losslessly.
if ((pSelector->m_num_unique_selectors == 1) && (num_unique_alpha_selectors == 1))
{
// Both color and alpha are constant, write a solid color block and exit.
// See https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-void-extent-blocks
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
uint32_t* pOutput = static_cast<uint32_t*>(pDst_block);
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pDst_block);
pBytes[0] = 0xfc; pBytes[1] = 0xfd; pBytes[2] = 0xff; pBytes[3] = 0xff;
pOutput[1] = 0xffffffff;
pOutput[2] = 0;
pOutput[3] = 0;
int bit_pos = 64;
astc_set_bits(pOutput, bit_pos, r | (r << 8), 16);
astc_set_bits(pOutput, bit_pos, g | (g << 8), 16);
astc_set_bits(pOutput, bit_pos, b | (b << 8), 16);
astc_set_bits(pOutput, bit_pos, constant_alpha_val | (constant_alpha_val << 8), 16);
return;
}
else if ((pSelector->m_num_unique_selectors <= 2) && (num_unique_alpha_selectors <= 2))
{
// Both color and alpha use <= 2 unique selectors each.
// Use block truncation coding, which is lossless with ASTC (8-bit endpoints, 1-bit weights).
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
blk.m_endpoints[0] = block_colors[low_selector].r;
blk.m_endpoints[2] = block_colors[low_selector].g;
blk.m_endpoints[4] = block_colors[low_selector].b;
blk.m_endpoints[1] = block_colors[high_selector].r;
blk.m_endpoints[3] = block_colors[high_selector].g;
blk.m_endpoints[5] = block_colors[high_selector].b;
int s0 = blk.m_endpoints[0] + blk.m_endpoints[2] + blk.m_endpoints[4];
int s1 = blk.m_endpoints[1] + blk.m_endpoints[3] + blk.m_endpoints[5];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
if (transcode_alpha)
{
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pDst_block)[0]];
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pDst_block)[1]];
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
const uint32_t alpha_low_selector = alpha_selectors.m_lo_selector;
const uint32_t alpha_high_selector = alpha_selectors.m_hi_selector;
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
blk.m_endpoints[6] = static_cast<uint8_t>(alpha_block_colors[alpha_low_selector]);
blk.m_endpoints[7] = static_cast<uint8_t>(alpha_block_colors[alpha_high_selector]);
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = alpha_selectors.get_selector(x, y);
s = (s == alpha_high_selector) ? 1 : 0;
blk.m_weights[(x + y * 4) * 2 + 1] = static_cast<uint8_t>(s);
} // x
} // y
}
else
{
blk.m_endpoints[6] = 255;
blk.m_endpoints[7] = 255;
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2 + 1] = 0;
}
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
s = (s == high_selector) ? 1 : 0;
if (invert)
s = 1 - s;
blk.m_weights[(x + y * 4) * 2] = static_cast<uint8_t>(s);
} // x
} // y
astc_pack_block_cem_12_weight_range0(reinterpret_cast<uint32_t*>(pDst_block), &blk);
return;
}
// Either alpha and/or color use > 2 unique selectors each, so we must do something more complex.
#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
// The optional higher quality modes use 8-bits endpoints vs. [0,47] endpoints.
// If the block's base color is grayscale, all pixels are grayscale, so encode the block as Luminance+Alpha.
if ((base_color.r == base_color.g) && (base_color.r == base_color.b))
{
if (transcode_alpha)
{
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pDst_block)[0]];
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pDst_block)[1]];
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
const uint32_t alpha_low_selector = alpha_selectors.m_lo_selector;
const uint32_t alpha_high_selector = alpha_selectors.m_hi_selector;
if (num_unique_alpha_selectors <= 2)
{
// Simple alpha block with only 1 or 2 unique values, so use BTC. This is lossless.
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
blk.m_endpoints[2] = static_cast<uint8_t>(alpha_block_colors[alpha_low_selector]);
blk.m_endpoints[3] = static_cast<uint8_t>(alpha_block_colors[alpha_high_selector]);
for (uint32_t i = 0; i < 16; i++)
{
uint32_t s = alpha_selectors.get_selector(i & 3, i >> 2);
blk.m_weights[i * 2 + 1] = (s == alpha_high_selector) ? 3 : 0;
}
}
else
{
// Convert ETC1S alpha
const uint32_t alpha_selector_range_table = g_etc1_to_astc_selector_range_index[alpha_low_selector][alpha_high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc_0_255[(alpha_inten_table * 32 + alpha_base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + alpha_selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const uint32_t best_mapping = g_etc1_to_astc_best_grayscale_mapping_0_255[alpha_base_color.g][alpha_inten_table][alpha_selector_range_table];
blk.m_endpoints[2] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[3] = pTable_g[best_mapping].m_hi;
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = alpha_selectors.get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
blk.m_weights[(x + y * 4) * 2 + 1] = static_cast<uint8_t>(as);
} // x
} // y
}
}
else
{
// No alpha slice - set output alpha to all 255's
blk.m_endpoints[2] = 255;
blk.m_endpoints[3] = 255;
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2 + 1] = 0;
}
if (pSelector->m_num_unique_selectors <= 2)
{
// Simple color block with only 1 or 2 unique values, so use BTC. This is lossless.
int block_colors[4];
decoder_etc_block::get_block_colors5_g(block_colors, base_color, inten_table);
blk.m_endpoints[0] = static_cast<uint8_t>(block_colors[low_selector]);
blk.m_endpoints[1] = static_cast<uint8_t>(block_colors[high_selector]);
for (uint32_t i = 0; i < 16; i++)
{
uint32_t s = pSelector->get_selector(i & 3, i >> 2);
blk.m_weights[i * 2] = (s == high_selector) ? 3 : 0;
}
}
else
{
// Convert ETC1S alpha
const uint32_t selector_range_table = g_etc1_to_astc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const uint32_t best_mapping = g_etc1_to_astc_best_grayscale_mapping_0_255[base_color.g][inten_table][selector_range_table];
blk.m_endpoints[0] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[1] = pTable_g[best_mapping].m_hi;
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
blk.m_weights[(x + y * 4) * 2] = static_cast<uint8_t>(as);
} // x
} // y
}
astc_pack_block_cem_4_weight_range2(reinterpret_cast<uint32_t*>(pDst_block), &blk);
return;
}
// The block isn't grayscale and it uses > 2 unique selectors for opaque and/or alpha.
// Check for fully opaque blocks, if so use 8-bit endpoints for slightly higher opaque quality (higher than BC1, but lower than BC7 mode 6 opaque).
if ((num_unique_alpha_selectors == 1) && (constant_alpha_val == 255))
{
// Convert ETC1S color
const uint32_t selector_range_table = g_etc1_to_astc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_r = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color.r) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const etc1_to_astc_solution* pTable_b = &g_etc1_to_astc_0_255[(inten_table * 32 + base_color.b) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
blk.m_endpoints[0] = pTable_r[best_mapping].m_lo;
blk.m_endpoints[1] = pTable_r[best_mapping].m_hi;
blk.m_endpoints[2] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[3] = pTable_g[best_mapping].m_hi;
blk.m_endpoints[4] = pTable_b[best_mapping].m_lo;
blk.m_endpoints[5] = pTable_b[best_mapping].m_hi;
int s0 = blk.m_endpoints[0] + blk.m_endpoints[2] + blk.m_endpoints[4];
int s1 = blk.m_endpoints[1] + blk.m_endpoints[3] + blk.m_endpoints[5];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
if (invert)
as = 3 - as;
blk.m_weights[x + y * 4] = static_cast<uint8_t>(as);
} // x
} // y
// Now pack to ASTC
astc_pack_block_cem_8_weight_range2(reinterpret_cast<uint32_t*>(pDst_block), &blk);
return;
}
#endif //#if BASISD_SUPPORT_ASTC_HIGHER_OPAQUE_QUALITY
// Nothing else worked, so fall back to CEM Mode 12 (LDR RGBA Direct), [0,47] endpoints, weight range 2 (2-bit weights), dual planes.
// This mode can handle everything, but at slightly less quality than BC1.
if (transcode_alpha)
{
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pDst_block)[0]];
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pDst_block)[1]];
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
const uint32_t alpha_low_selector = alpha_selectors.m_lo_selector;
const uint32_t alpha_high_selector = alpha_selectors.m_hi_selector;
if (alpha_low_selector == alpha_high_selector)
{
// Solid alpha block - use precomputed tables.
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
const uint32_t g = alpha_block_colors[alpha_low_selector];
blk.m_endpoints[6] = g_astc_single_color_encoding_1[g].m_lo;
blk.m_endpoints[7] = g_astc_single_color_encoding_1[g].m_hi;
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2 + 1] = 1;
}
else if ((alpha_inten_table >= 7) && (alpha_selectors.m_num_unique_selectors == 2) && (alpha_low_selector == 0) && (alpha_high_selector == 3))
{
// Handle outlier case where only the two outer colors are used with inten table 7.
color32 alpha_block_colors[4];
decoder_etc_block::get_block_colors5(alpha_block_colors, alpha_base_color, alpha_inten_table);
const uint32_t g0 = alpha_block_colors[0].g;
const uint32_t g1 = alpha_block_colors[3].g;
blk.m_endpoints[6] = g_astc_single_color_encoding_0[g0];
blk.m_endpoints[7] = g_astc_single_color_encoding_0[g1];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = alpha_selectors.get_selector(x, y);
uint32_t as = (s == alpha_high_selector) ? 3 : 0;
blk.m_weights[(x + y * 4) * 2 + 1] = static_cast<uint8_t>(as);
} // x
} // y
}
else
{
// Convert ETC1S alpha
const uint32_t alpha_selector_range_table = g_etc1_to_astc_selector_range_index[alpha_low_selector][alpha_high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc[(alpha_inten_table * 32 + alpha_base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + alpha_selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const uint32_t best_mapping = g_etc1_to_astc_best_grayscale_mapping[alpha_base_color.g][alpha_inten_table][alpha_selector_range_table];
blk.m_endpoints[6] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[7] = pTable_g[best_mapping].m_hi;
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = alpha_selectors.get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
blk.m_weights[(x + y * 4) * 2 + 1] = static_cast<uint8_t>(as);
} // x
} // y
}
}
else
{
// No alpha slice - set output alpha to all 255's
// 1 is 255 when dequantized
blk.m_endpoints[6] = 1;
blk.m_endpoints[7] = 1;
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2 + 1] = 0;
}
if (low_selector == high_selector)
{
// Solid color block - use precomputed tables of optimal endpoints assuming selector weights are all 1.
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r = block_colors[low_selector].r;
const uint32_t g = block_colors[low_selector].g;
const uint32_t b = block_colors[low_selector].b;
blk.m_endpoints[0] = g_astc_single_color_encoding_1[r].m_lo;
blk.m_endpoints[1] = g_astc_single_color_encoding_1[r].m_hi;
blk.m_endpoints[2] = g_astc_single_color_encoding_1[g].m_lo;
blk.m_endpoints[3] = g_astc_single_color_encoding_1[g].m_hi;
blk.m_endpoints[4] = g_astc_single_color_encoding_1[b].m_lo;
blk.m_endpoints[5] = g_astc_single_color_encoding_1[b].m_hi;
int s0 = g_ise_to_unquant[blk.m_endpoints[0]] + g_ise_to_unquant[blk.m_endpoints[2]] + g_ise_to_unquant[blk.m_endpoints[4]];
int s1 = g_ise_to_unquant[blk.m_endpoints[1]] + g_ise_to_unquant[blk.m_endpoints[3]] + g_ise_to_unquant[blk.m_endpoints[5]];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
for (uint32_t i = 0; i < 16; i++)
blk.m_weights[i * 2] = invert ? 2 : 1;
}
else if ((inten_table >= 7) && (pSelector->m_num_unique_selectors == 2) && (pSelector->m_lo_selector == 0) && (pSelector->m_hi_selector == 3))
{
// Handle outlier case where only the two outer colors are used with inten table 7.
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[0].r;
const uint32_t g0 = block_colors[0].g;
const uint32_t b0 = block_colors[0].b;
const uint32_t r1 = block_colors[3].r;
const uint32_t g1 = block_colors[3].g;
const uint32_t b1 = block_colors[3].b;
blk.m_endpoints[0] = g_astc_single_color_encoding_0[r0];
blk.m_endpoints[1] = g_astc_single_color_encoding_0[r1];
blk.m_endpoints[2] = g_astc_single_color_encoding_0[g0];
blk.m_endpoints[3] = g_astc_single_color_encoding_0[g1];
blk.m_endpoints[4] = g_astc_single_color_encoding_0[b0];
blk.m_endpoints[5] = g_astc_single_color_encoding_0[b1];
int s0 = g_ise_to_unquant[blk.m_endpoints[0]] + g_ise_to_unquant[blk.m_endpoints[2]] + g_ise_to_unquant[blk.m_endpoints[4]];
int s1 = g_ise_to_unquant[blk.m_endpoints[1]] + g_ise_to_unquant[blk.m_endpoints[3]] + g_ise_to_unquant[blk.m_endpoints[5]];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t as = (s == low_selector) ? 0 : 3;
if (invert)
as = 3 - as;
blk.m_weights[(x + y * 4) * 2] = static_cast<uint8_t>(as);
} // x
} // y
}
else
{
// Convert ETC1S color
const uint32_t selector_range_table = g_etc1_to_astc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1_to_astc_solution* pTable_r = &g_etc1_to_astc[(inten_table * 32 + base_color.r) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const etc1_to_astc_solution* pTable_g = &g_etc1_to_astc[(inten_table * 32 + base_color.g) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
const etc1_to_astc_solution* pTable_b = &g_etc1_to_astc[(inten_table * 32 + base_color.b) * (NUM_ETC1_TO_ASTC_SELECTOR_RANGES * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1_TO_ASTC_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
blk.m_endpoints[0] = pTable_r[best_mapping].m_lo;
blk.m_endpoints[1] = pTable_r[best_mapping].m_hi;
blk.m_endpoints[2] = pTable_g[best_mapping].m_lo;
blk.m_endpoints[3] = pTable_g[best_mapping].m_hi;
blk.m_endpoints[4] = pTable_b[best_mapping].m_lo;
blk.m_endpoints[5] = pTable_b[best_mapping].m_hi;
int s0 = g_ise_to_unquant[blk.m_endpoints[0]] + g_ise_to_unquant[blk.m_endpoints[2]] + g_ise_to_unquant[blk.m_endpoints[4]];
int s1 = g_ise_to_unquant[blk.m_endpoints[1]] + g_ise_to_unquant[blk.m_endpoints[3]] + g_ise_to_unquant[blk.m_endpoints[5]];
bool invert = false;
if (s1 < s0)
{
std::swap(blk.m_endpoints[0], blk.m_endpoints[1]);
std::swap(blk.m_endpoints[2], blk.m_endpoints[3]);
std::swap(blk.m_endpoints[4], blk.m_endpoints[5]);
invert = true;
}
const uint8_t* pSelectors_xlat = &g_etc1_to_astc_selector_mappings[best_mapping][0];
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t s = pSelector->get_selector(x, y);
uint32_t as = pSelectors_xlat[s];
if (invert)
as = 3 - as;
blk.m_weights[(x + y * 4) * 2] = static_cast<uint8_t>(as);
} // x
} // y
}
// Now pack to ASTC
astc_pack_block_cem_12_weight_range2(reinterpret_cast<uint32_t *>(pDst_block), &blk);
}
#endif
#if BASISD_SUPPORT_ATC
// ATC and PVRTC2 both use these tables.
struct etc1s_to_atc_solution
{
uint8_t m_lo;
uint8_t m_hi;
uint16_t m_err;
};
static dxt_selector_range g_etc1s_to_atc_selector_ranges[] =
{
{ 0, 3 },
{ 1, 3 },
{ 0, 2 },
{ 1, 2 },
{ 2, 3 },
{ 0, 1 },
};
const uint32_t NUM_ETC1S_TO_ATC_SELECTOR_RANGES = sizeof(g_etc1s_to_atc_selector_ranges) / sizeof(g_etc1s_to_atc_selector_ranges[0]);
static uint32_t g_etc1s_to_atc_selector_range_index[4][4];
const uint32_t NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS = 10;
static const uint8_t g_etc1s_to_atc_selector_mappings[NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS][4] =
{
{ 0, 0, 1, 1 },
{ 0, 0, 1, 2 },
{ 0, 0, 1, 3 },
{ 0, 0, 2, 3 },
{ 0, 1, 1, 1 },
{ 0, 1, 2, 2 },
{ 0, 1, 2, 3 }, //6 - identity
{ 0, 2, 3, 3 },
{ 1, 2, 2, 2 },
{ 1, 2, 3, 3 },
};
const uint32_t ATC_IDENTITY_SELECTOR_MAPPING_INDEX = 6;
#if BASISD_SUPPORT_PVRTC2
static const etc1s_to_atc_solution g_etc1s_to_pvrtc2_45[32 * 8 * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS * NUM_ETC1S_TO_ATC_SELECTOR_RANGES] = {
#include "basisu_transcoder_tables_pvrtc2_45.inc"
};
#if 0
static const etc1s_to_atc_solution g_etc1s_to_pvrtc2_alpha_33[32 * 8 * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS * NUM_ETC1S_TO_ATC_SELECTOR_RANGES] = {
#include "basisu_transcoder_tables_pvrtc2_alpha_33.inc"
};
#endif
#endif
static const etc1s_to_atc_solution g_etc1s_to_atc_55[32 * 8 * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS * NUM_ETC1S_TO_ATC_SELECTOR_RANGES] = {
#include "basisu_transcoder_tables_atc_55.inc"
};
static const etc1s_to_atc_solution g_etc1s_to_atc_56[32 * 8 * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS * NUM_ETC1S_TO_ATC_SELECTOR_RANGES] = {
#include "basisu_transcoder_tables_atc_56.inc"
};
struct atc_match_entry
{
uint8_t m_lo;
uint8_t m_hi;
};
static atc_match_entry g_pvrtc2_match45_equals_1[256], g_atc_match55_equals_1[256], g_atc_match56_equals_1[256]; // selector 1
static atc_match_entry g_pvrtc2_match4[256], g_atc_match5[256], g_atc_match6[256];
static void prepare_atc_single_color_table(atc_match_entry* pTable, int size0, int size1, int sel)
{
for (int i = 0; i < 256; i++)
{
int lowest_e = 256;
for (int lo = 0; lo < size0; lo++)
{
int lo_e = lo;
if (size0 == 16)
{
lo_e = (lo_e << 1) | (lo_e >> 3);
lo_e = (lo_e << 3) | (lo_e >> 2);
}
else if (size0 == 32)
lo_e = (lo_e << 3) | (lo_e >> 2);
else
lo_e = (lo_e << 2) | (lo_e >> 4);
for (int hi = 0; hi < size1; hi++)
{
int hi_e = hi;
if (size1 == 16)
{
// This is only for PVRTC2 - expand to 5 then 8
hi_e = (hi_e << 1) | (hi_e >> 3);
hi_e = (hi_e << 3) | (hi_e >> 2);
}
else if (size1 == 32)
hi_e = (hi_e << 3) | (hi_e >> 2);
else
hi_e = (hi_e << 2) | (hi_e >> 4);
int e;
if (sel == 1)
{
// Selector 1
e = abs(((lo_e * 5 + hi_e * 3) / 8) - i);
}
else
{
assert(sel == 3);
// Selector 3
e = abs(hi_e - i);
}
if (e < lowest_e)
{
pTable[i].m_lo = static_cast<uint8_t>(lo);
pTable[i].m_hi = static_cast<uint8_t>(hi);
lowest_e = e;
}
} // hi
} // lo
} // i
}
static void transcoder_init_atc()
{
prepare_atc_single_color_table(g_pvrtc2_match45_equals_1, 16, 32, 1);
prepare_atc_single_color_table(g_atc_match55_equals_1, 32, 32, 1);
prepare_atc_single_color_table(g_atc_match56_equals_1, 32, 64, 1);
prepare_atc_single_color_table(g_pvrtc2_match4, 1, 16, 3);
prepare_atc_single_color_table(g_atc_match5, 1, 32, 3);
prepare_atc_single_color_table(g_atc_match6, 1, 64, 3);
for (uint32_t i = 0; i < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; i++)
{
uint32_t l = g_etc1s_to_atc_selector_ranges[i].m_low;
uint32_t h = g_etc1s_to_atc_selector_ranges[i].m_high;
g_etc1s_to_atc_selector_range_index[l][h] = i;
}
}
struct atc_block
{
uint8_t m_lo[2];
uint8_t m_hi[2];
uint8_t m_sels[4];
void set_low_color(uint32_t r, uint32_t g, uint32_t b)
{
assert((r < 32) && (g < 32) && (b < 32));
uint32_t x = (r << 10) | (g << 5) | b;
m_lo[0] = x & 0xFF;
m_lo[1] = (x >> 8) & 0xFF;
}
void set_high_color(uint32_t r, uint32_t g, uint32_t b)
{
assert((r < 32) && (g < 64) && (b < 32));
uint32_t x = (r << 11) | (g << 5) | b;
m_hi[0] = x & 0xFF;
m_hi[1] = (x >> 8) & 0xFF;
}
};
static void convert_etc1s_to_atc(void* pDst, const endpoint* pEndpoints, const selector* pSelector)
{
atc_block* pBlock = static_cast<atc_block*>(pDst);
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
pBlock->set_low_color(g_atc_match55_equals_1[r].m_lo, g_atc_match56_equals_1[g].m_lo, g_atc_match55_equals_1[b].m_lo);
pBlock->set_high_color(g_atc_match55_equals_1[r].m_hi, g_atc_match56_equals_1[g].m_hi, g_atc_match55_equals_1[b].m_hi);
pBlock->m_sels[0] = 0x55;
pBlock->m_sels[1] = 0x55;
pBlock->m_sels[2] = 0x55;
pBlock->m_sels[3] = 0x55;
return;
}
else if ((inten_table >= 7) && (pSelector->m_num_unique_selectors == 2) && (pSelector->m_lo_selector == 0) && (pSelector->m_hi_selector == 3))
{
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[0].r;
const uint32_t g0 = block_colors[0].g;
const uint32_t b0 = block_colors[0].b;
const uint32_t r1 = block_colors[3].r;
const uint32_t g1 = block_colors[3].g;
const uint32_t b1 = block_colors[3].b;
pBlock->set_low_color(g_atc_match5[r0].m_hi, g_atc_match5[g0].m_hi, g_atc_match5[b0].m_hi);
pBlock->set_high_color(g_atc_match5[r1].m_hi, g_atc_match6[g1].m_hi, g_atc_match5[b1].m_hi);
pBlock->m_sels[0] = pSelector->m_selectors[0];
pBlock->m_sels[1] = pSelector->m_selectors[1];
pBlock->m_sels[2] = pSelector->m_selectors[2];
pBlock->m_sels[3] = pSelector->m_selectors[3];
return;
}
const uint32_t selector_range_table = g_etc1s_to_atc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1s_to_atc_solution* pTable_r = &g_etc1s_to_atc_55[(inten_table * 32 + base_color.r) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
const etc1s_to_atc_solution* pTable_g = &g_etc1s_to_atc_56[(inten_table * 32 + base_color.g) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
const etc1s_to_atc_solution* pTable_b = &g_etc1s_to_atc_55[(inten_table * 32 + base_color.b) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
pBlock->set_low_color(pTable_r[best_mapping].m_lo, pTable_g[best_mapping].m_lo, pTable_b[best_mapping].m_lo);
pBlock->set_high_color(pTable_r[best_mapping].m_hi, pTable_g[best_mapping].m_hi, pTable_b[best_mapping].m_hi);
if (ATC_IDENTITY_SELECTOR_MAPPING_INDEX == best_mapping)
{
pBlock->m_sels[0] = pSelector->m_selectors[0];
pBlock->m_sels[1] = pSelector->m_selectors[1];
pBlock->m_sels[2] = pSelector->m_selectors[2];
pBlock->m_sels[3] = pSelector->m_selectors[3];
}
else
{
const uint8_t* pSelectors_xlat = &g_etc1s_to_atc_selector_mappings[best_mapping][0];
const uint32_t sel_bits0 = pSelector->m_selectors[0];
const uint32_t sel_bits1 = pSelector->m_selectors[1];
const uint32_t sel_bits2 = pSelector->m_selectors[2];
const uint32_t sel_bits3 = pSelector->m_selectors[3];
uint32_t atc_sels0 = 0, atc_sels1 = 0, atc_sels2 = 0, atc_sels3 = 0;
#define DO_X(x) { \
const uint32_t x_shift = (x) * 2; \
atc_sels0 |= (pSelectors_xlat[(sel_bits0 >> x_shift) & 3] << x_shift); \
atc_sels1 |= (pSelectors_xlat[(sel_bits1 >> x_shift) & 3] << x_shift); \
atc_sels2 |= (pSelectors_xlat[(sel_bits2 >> x_shift) & 3] << x_shift); \
atc_sels3 |= (pSelectors_xlat[(sel_bits3 >> x_shift) & 3] << x_shift); }
DO_X(0);
DO_X(1);
DO_X(2);
DO_X(3);
#undef DO_X
pBlock->m_sels[0] = (uint8_t)atc_sels0;
pBlock->m_sels[1] = (uint8_t)atc_sels1;
pBlock->m_sels[2] = (uint8_t)atc_sels2;
pBlock->m_sels[3] = (uint8_t)atc_sels3;
}
}
#if BASISD_WRITE_NEW_ATC_TABLES
static void create_etc1s_to_atc_conversion_tables()
{
// ATC 55
FILE* pFile = nullptr;
fopen_s(&pFile, "basisu_transcoder_tables_atc_55.inc", "w");
uint32_t n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 31; hi++)
{
for (uint32_t lo = 0; lo <= 31; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 3) | (lo >> 2);
colors[3] = (hi << 3) | (hi >> 2);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
pFile = nullptr;
// ATC 56
fopen_s(&pFile, "basisu_transcoder_tables_atc_56.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 63; hi++)
{
for (uint32_t lo = 0; lo <= 31; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 3) | (lo >> 2);
colors[3] = (hi << 2) | (hi >> 4);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
// PVRTC2 45
fopen_s(&pFile, "basisu_transcoder_tables_pvrtc2_45.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 31; hi++)
{
for (uint32_t lo = 0; lo <= 15; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 1) | (lo >> 3);
colors[0] = (colors[0] << 3) | (colors[0] >> 2);
colors[3] = (hi << 3) | (hi >> 2);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
#if 0
// PVRTC2 34
fopen_s(&pFile, "basisu_transcoder_tables_pvrtc2_34.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 15; hi++)
{
for (uint32_t lo = 0; lo <= 7; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 2) | (lo >> 1);
colors[0] = (colors[0] << 3) | (colors[0] >> 2);
colors[3] = (hi << 1) | (hi >> 3);
colors[3] = (colors[3] << 3) | (colors[3] >> 2);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
#endif
#if 0
// PVRTC2 44
fopen_s(&pFile, "basisu_transcoder_tables_pvrtc2_44.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 15; hi++)
{
for (uint32_t lo = 0; lo <= 15; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 1) | (lo >> 3);
colors[0] = (colors[0] << 3) | (colors[0] >> 2);
colors[3] = (hi << 1) | (hi >> 3);
colors[3] = (colors[3] << 3) | (colors[3] >> 2);
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
#endif
// PVRTC2 alpha 33
fopen_s(&pFile, "basisu_transcoder_tables_pvrtc2_alpha_33.inc", "w");
n = 0;
for (int inten = 0; inten < 8; inten++)
{
for (uint32_t g = 0; g < 32; g++)
{
color32 block_colors[4];
decoder_etc_block::get_diff_subblock_colors(block_colors, decoder_etc_block::pack_color5(color32(g, g, g, 255), false), inten);
for (uint32_t sr = 0; sr < NUM_ETC1S_TO_ATC_SELECTOR_RANGES; sr++)
{
const uint32_t low_selector = g_etc1s_to_atc_selector_ranges[sr].m_low;
const uint32_t high_selector = g_etc1s_to_atc_selector_ranges[sr].m_high;
for (uint32_t m = 0; m < NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS; m++)
{
uint32_t best_lo = 0;
uint32_t best_hi = 0;
uint64_t best_err = UINT64_MAX;
for (uint32_t hi = 0; hi <= 7; hi++)
{
for (uint32_t lo = 0; lo <= 7; lo++)
{
uint32_t colors[4];
colors[0] = (lo << 1);
colors[0] = (colors[0] << 4) | colors[0];
colors[3] = (hi << 1) | 1;
colors[3] = (colors[3] << 4) | colors[3];
colors[1] = (colors[0] * 5 + colors[3] * 3) / 8;
colors[2] = (colors[3] * 5 + colors[0] * 3) / 8;
uint64_t total_err = 0;
for (uint32_t s = low_selector; s <= high_selector; s++)
{
int err = block_colors[s].g - colors[g_etc1s_to_atc_selector_mappings[m][s]];
int err_scale = 1;
// Special case when the intensity table is 7, low_selector is 0, and high_selector is 3. In this extreme case, it's likely the encoder is trying to strongly favor
// the low/high selectors which are clamping to either 0 or 255.
if (((inten == 7) && (low_selector == 0) && (high_selector == 3)) && ((s == 0) || (s == 3)))
err_scale = 5;
total_err += (err * err) * err_scale;
}
if (total_err < best_err)
{
best_err = total_err;
best_lo = lo;
best_hi = hi;
}
}
}
//assert(best_err <= 0xFFFF);
best_err = basisu::minimum<uint32_t>(best_err, 0xFFFF);
fprintf(pFile, "{%u,%u,%u},", best_lo, best_hi, (uint32_t)best_err);
n++;
if ((n & 31) == 31)
fprintf(pFile, "\n");
} // m
} // sr
} // g
} // inten
fclose(pFile);
}
#endif // BASISD_WRITE_NEW_ATC_TABLES
#endif // BASISD_SUPPORT_ATC
#if BASISD_SUPPORT_PVRTC2
struct pvrtc2_block
{
uint8_t m_modulation[4];
union
{
union
{
// Opaque mode: RGB colora=554 and colorb=555
struct
{
uint32_t m_mod_flag : 1;
uint32_t m_blue_a : 4;
uint32_t m_green_a : 5;
uint32_t m_red_a : 5;
uint32_t m_hard_flag : 1;
uint32_t m_blue_b : 5;
uint32_t m_green_b : 5;
uint32_t m_red_b : 5;
uint32_t m_opaque_flag : 1;
} m_opaque_color_data;
// Transparent mode: RGBA colora=4433 and colorb=4443
struct
{
uint32_t m_mod_flag : 1;
uint32_t m_blue_a : 3;
uint32_t m_green_a : 4;
uint32_t m_red_a : 4;
uint32_t m_alpha_a : 3;
uint32_t m_hard_flag : 1;
uint32_t m_blue_b : 4;
uint32_t m_green_b : 4;
uint32_t m_red_b : 4;
uint32_t m_alpha_b : 3;
uint32_t m_opaque_flag : 1;
} m_trans_color_data;
};
uint32_t m_color_data_bits;
};
// 554
void set_low_color(uint32_t r, uint32_t g, uint32_t b)
{
assert((r < 32) && (g < 32) && (b < 16));
m_opaque_color_data.m_red_a = r;
m_opaque_color_data.m_green_a = g;
m_opaque_color_data.m_blue_a = b;
}
// 555
void set_high_color(uint32_t r, uint32_t g, uint32_t b)
{
assert((r < 32) && (g < 32) && (b < 32));
m_opaque_color_data.m_red_b = r;
m_opaque_color_data.m_green_b = g;
m_opaque_color_data.m_blue_b = b;
}
// 4433
void set_trans_low_color(uint32_t r, uint32_t g, uint32_t b, uint32_t a)
{
assert((r < 16) && (g < 16) && (b < 8) && (a < 8));
m_trans_color_data.m_red_a = r;
m_trans_color_data.m_green_a = g;
m_trans_color_data.m_blue_a = b;
m_trans_color_data.m_alpha_a = a;
}
// 4443
void set_trans_high_color(uint32_t r, uint32_t g, uint32_t b, uint32_t a)
{
assert((r < 16) && (g < 16) && (b < 16) && (a < 8));
m_trans_color_data.m_red_b = r;
m_trans_color_data.m_green_b = g;
m_trans_color_data.m_blue_b = b;
m_trans_color_data.m_alpha_b = a;
}
};
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_trans_match34[256];
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_trans_match44[256];
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_alpha_match33[256];
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_alpha_match33_0[256];
static struct
{
uint8_t m_l, m_h;
} g_pvrtc2_alpha_match33_3[256];
// PVRTC2 can be forced to look like a slightly weaker variant of ATC/BC1, so that's what we do here for simplicity.
static void convert_etc1s_to_pvrtc2_rgb(void* pDst, const endpoint* pEndpoints, const selector* pSelector)
{
pvrtc2_block* pBlock = static_cast<pvrtc2_block*>(pDst);
pBlock->m_opaque_color_data.m_hard_flag = 1;
pBlock->m_opaque_color_data.m_mod_flag = 0;
pBlock->m_opaque_color_data.m_opaque_flag = 1;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
if (low_selector == high_selector)
{
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
pBlock->set_low_color(g_atc_match55_equals_1[r].m_lo, g_atc_match55_equals_1[g].m_lo, g_pvrtc2_match45_equals_1[b].m_lo);
pBlock->set_high_color(g_atc_match55_equals_1[r].m_hi, g_atc_match55_equals_1[g].m_hi, g_pvrtc2_match45_equals_1[b].m_hi);
pBlock->m_modulation[0] = 0x55;
pBlock->m_modulation[1] = 0x55;
pBlock->m_modulation[2] = 0x55;
pBlock->m_modulation[3] = 0x55;
return;
}
else if ((inten_table >= 7) && (pSelector->m_num_unique_selectors == 2) && (pSelector->m_lo_selector == 0) && (pSelector->m_hi_selector == 3))
{
color32 block_colors[4];
decoder_etc_block::get_block_colors5(block_colors, base_color, inten_table);
const uint32_t r0 = block_colors[0].r;
const uint32_t g0 = block_colors[0].g;
const uint32_t b0 = block_colors[0].b;
const uint32_t r1 = block_colors[3].r;
const uint32_t g1 = block_colors[3].g;
const uint32_t b1 = block_colors[3].b;
pBlock->set_low_color(g_atc_match5[r0].m_hi, g_atc_match5[g0].m_hi, g_pvrtc2_match4[b0].m_hi);
pBlock->set_high_color(g_atc_match5[r1].m_hi, g_atc_match5[g1].m_hi, g_atc_match5[b1].m_hi);
pBlock->m_modulation[0] = pSelector->m_selectors[0];
pBlock->m_modulation[1] = pSelector->m_selectors[1];
pBlock->m_modulation[2] = pSelector->m_selectors[2];
pBlock->m_modulation[3] = pSelector->m_selectors[3];
return;
}
const uint32_t selector_range_table = g_etc1s_to_atc_selector_range_index[low_selector][high_selector];
//[32][8][RANGES][MAPPING]
const etc1s_to_atc_solution* pTable_r = &g_etc1s_to_atc_55[(inten_table * 32 + base_color.r) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
const etc1s_to_atc_solution* pTable_g = &g_etc1s_to_atc_55[(inten_table * 32 + base_color.g) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
const etc1s_to_atc_solution* pTable_b = &g_etc1s_to_pvrtc2_45[(inten_table * 32 + base_color.b) * (NUM_ETC1S_TO_ATC_SELECTOR_RANGES * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS) + selector_range_table * NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS];
uint32_t best_err = UINT_MAX;
uint32_t best_mapping = 0;
assert(NUM_ETC1S_TO_ATC_SELECTOR_MAPPINGS == 10);
#define DO_ITER(m) { uint32_t total_err = pTable_r[m].m_err + pTable_g[m].m_err + pTable_b[m].m_err; if (total_err < best_err) { best_err = total_err; best_mapping = m; } }
DO_ITER(0); DO_ITER(1); DO_ITER(2); DO_ITER(3); DO_ITER(4);
DO_ITER(5); DO_ITER(6); DO_ITER(7); DO_ITER(8); DO_ITER(9);
#undef DO_ITER
pBlock->set_low_color(pTable_r[best_mapping].m_lo, pTable_g[best_mapping].m_lo, pTable_b[best_mapping].m_lo);
pBlock->set_high_color(pTable_r[best_mapping].m_hi, pTable_g[best_mapping].m_hi, pTable_b[best_mapping].m_hi);
if (ATC_IDENTITY_SELECTOR_MAPPING_INDEX == best_mapping)
{
pBlock->m_modulation[0] = pSelector->m_selectors[0];
pBlock->m_modulation[1] = pSelector->m_selectors[1];
pBlock->m_modulation[2] = pSelector->m_selectors[2];
pBlock->m_modulation[3] = pSelector->m_selectors[3];
}
else
{
// TODO: We could make this faster using several precomputed 256 entry tables, like ETC1S->BC1 does.
const uint8_t* pSelectors_xlat = &g_etc1s_to_atc_selector_mappings[best_mapping][0];
const uint32_t sel_bits0 = pSelector->m_selectors[0];
const uint32_t sel_bits1 = pSelector->m_selectors[1];
const uint32_t sel_bits2 = pSelector->m_selectors[2];
const uint32_t sel_bits3 = pSelector->m_selectors[3];
uint32_t sels0 = 0, sels1 = 0, sels2 = 0, sels3 = 0;
#define DO_X(x) { \
const uint32_t x_shift = (x) * 2; \
sels0 |= (pSelectors_xlat[(sel_bits0 >> x_shift) & 3] << x_shift); \
sels1 |= (pSelectors_xlat[(sel_bits1 >> x_shift) & 3] << x_shift); \
sels2 |= (pSelectors_xlat[(sel_bits2 >> x_shift) & 3] << x_shift); \
sels3 |= (pSelectors_xlat[(sel_bits3 >> x_shift) & 3] << x_shift); }
DO_X(0);
DO_X(1);
DO_X(2);
DO_X(3);
#undef DO_X
pBlock->m_modulation[0] = (uint8_t)sels0;
pBlock->m_modulation[1] = (uint8_t)sels1;
pBlock->m_modulation[2] = (uint8_t)sels2;
pBlock->m_modulation[3] = (uint8_t)sels3;
}
}
typedef struct { float c[4]; } vec4F;
static inline vec4F* vec4F_set_scalar(vec4F* pV, float x) { pV->c[0] = x; pV->c[1] = x; pV->c[2] = x; pV->c[3] = x; return pV; }
static inline vec4F* vec4F_set(vec4F* pV, float x, float y, float z, float w) { pV->c[0] = x; pV->c[1] = y; pV->c[2] = z; pV->c[3] = w; return pV; }
static inline vec4F* vec4F_saturate_in_place(vec4F* pV) { pV->c[0] = saturate(pV->c[0]); pV->c[1] = saturate(pV->c[1]); pV->c[2] = saturate(pV->c[2]); pV->c[3] = saturate(pV->c[3]); return pV; }
static inline vec4F vec4F_saturate(const vec4F* pV) { vec4F res; res.c[0] = saturate(pV->c[0]); res.c[1] = saturate(pV->c[1]); res.c[2] = saturate(pV->c[2]); res.c[3] = saturate(pV->c[3]); return res; }
static inline vec4F vec4F_from_color(const color32* pC) { vec4F res; vec4F_set(&res, pC->c[0], pC->c[1], pC->c[2], pC->c[3]); return res; }
static inline vec4F vec4F_add(const vec4F* pLHS, const vec4F* pRHS) { vec4F res; vec4F_set(&res, pLHS->c[0] + pRHS->c[0], pLHS->c[1] + pRHS->c[1], pLHS->c[2] + pRHS->c[2], pLHS->c[3] + pRHS->c[3]); return res; }
static inline vec4F vec4F_sub(const vec4F* pLHS, const vec4F* pRHS) { vec4F res; vec4F_set(&res, pLHS->c[0] - pRHS->c[0], pLHS->c[1] - pRHS->c[1], pLHS->c[2] - pRHS->c[2], pLHS->c[3] - pRHS->c[3]); return res; }
static inline float vec4F_dot(const vec4F* pLHS, const vec4F* pRHS) { return pLHS->c[0] * pRHS->c[0] + pLHS->c[1] * pRHS->c[1] + pLHS->c[2] * pRHS->c[2] + pLHS->c[3] * pRHS->c[3]; }
static inline vec4F vec4F_mul(const vec4F* pLHS, float s) { vec4F res; vec4F_set(&res, pLHS->c[0] * s, pLHS->c[1] * s, pLHS->c[2] * s, pLHS->c[3] * s); return res; }
static inline vec4F* vec4F_normalize_in_place(vec4F* pV) { float s = pV->c[0] * pV->c[0] + pV->c[1] * pV->c[1] + pV->c[2] * pV->c[2] + pV->c[3] * pV->c[3]; if (s != 0.0f) { s = 1.0f / sqrtf(s); pV->c[0] *= s; pV->c[1] *= s; pV->c[2] *= s; pV->c[3] *= s; } return pV; }
static color32 convert_rgba_5554_to_8888(const color32& col)
{
return color32((col[0] << 3) | (col[0] >> 2), (col[1] << 3) | (col[1] >> 2), (col[2] << 3) | (col[2] >> 2), (col[3] << 4) | col[3]);
}
static inline int sq(int x) { return x * x; }
// PVRTC2 is a slightly borked format for alpha: In Non-Interpolated mode, the way AlphaB8 is exanded from 4 to 8 bits means it can never be 0.
// This is actually very bad, because on 100% transparent blocks which have non-trivial color pixels, part of the color channel will leak into alpha!
// And there's nothing straightforward we can do because using the other modes is too expensive/complex. I can see why Apple didn't adopt it.
static void convert_etc1s_to_pvrtc2_rgba(void* pDst, const endpoint* pEndpoints, const selector* pSelector, const endpoint* pEndpoint_codebook, const selector* pSelector_codebook)
{
pvrtc2_block* pBlock = static_cast<pvrtc2_block*>(pDst);
const endpoint& alpha_endpoint = pEndpoint_codebook[((uint16_t*)pBlock)[0]];
const selector& alpha_selectors = pSelector_codebook[((uint16_t*)pBlock)[1]];
pBlock->m_opaque_color_data.m_hard_flag = 1;
pBlock->m_opaque_color_data.m_mod_flag = 0;
pBlock->m_opaque_color_data.m_opaque_flag = 0;
const int num_unique_alpha_selectors = alpha_selectors.m_num_unique_selectors;
const color32& alpha_base_color = alpha_endpoint.m_color5;
const uint32_t alpha_inten_table = alpha_endpoint.m_inten5;
int constant_alpha_val = -1;
int alpha_block_colors[4];
decoder_etc_block::get_block_colors5_g(alpha_block_colors, alpha_base_color, alpha_inten_table);
if (num_unique_alpha_selectors == 1)
{
constant_alpha_val = alpha_block_colors[alpha_selectors.m_lo_selector];
}
else
{
constant_alpha_val = alpha_block_colors[alpha_selectors.m_lo_selector];
for (uint32_t i = alpha_selectors.m_lo_selector + 1; i <= alpha_selectors.m_hi_selector; i++)
{
if (constant_alpha_val != alpha_block_colors[i])
{
constant_alpha_val = -1;
break;
}
}
}
if (constant_alpha_val >= 250)
{
// It's opaque enough, so don't bother trying to encode it as an alpha block.
convert_etc1s_to_pvrtc2_rgb(pDst, pEndpoints, pSelector);
return;
}
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
const int num_unique_color_selectors = pSelector->m_num_unique_selectors;
// We need to reencode the block at the pixel level, unfortunately, from two ETC1S planes.
// Do 4D incremental PCA, project all pixels to this hyperline, then quantize to packed endpoints and compute the modulation values.
const int br = (base_color.r << 3) | (base_color.r >> 2);
const int bg = (base_color.g << 3) | (base_color.g >> 2);
const int bb = (base_color.b << 3) | (base_color.b >> 2);
color32 block_cols[4];
for (uint32_t i = 0; i < 4; i++)
{
const int ci = g_etc1_inten_tables[inten_table][i];
block_cols[i].set_clamped(br + ci, bg + ci, bb + ci, alpha_block_colors[i]);
}
bool solid_color_block = true;
if (num_unique_color_selectors > 1)
{
for (uint32_t i = low_selector + 1; i <= high_selector; i++)
{
if ((block_cols[low_selector].r != block_cols[i].r) || (block_cols[low_selector].g != block_cols[i].g) || (block_cols[low_selector].b != block_cols[i].b))
{
solid_color_block = false;
break;
}
}
}
if ((solid_color_block) && (constant_alpha_val >= 0))
{
// Constant color/alpha block.
// This is more complex than it may seem because of the way color and alpha are packed in PVRTC2. We need to evaluate mod0, mod1 and mod3 encodings to find the best one.
uint32_t r, g, b;
decoder_etc_block::get_block_color5(base_color, inten_table, low_selector, r, g, b);
// Mod 0
uint32_t lr0 = (r * 15 + 128) / 255, lg0 = (g * 15 + 128) / 255, lb0 = (b * 7 + 128) / 255;
uint32_t la0 = g_pvrtc2_alpha_match33_0[constant_alpha_val].m_l;
uint32_t cr0 = (lr0 << 1) | (lr0 >> 3);
uint32_t cg0 = (lg0 << 1) | (lg0 >> 3);
uint32_t cb0 = (lb0 << 2) | (lb0 >> 1);
uint32_t ca0 = (la0 << 1);
cr0 = (cr0 << 3) | (cr0 >> 2);
cg0 = (cg0 << 3) | (cg0 >> 2);
cb0 = (cb0 << 3) | (cb0 >> 2);
ca0 = (ca0 << 4) | ca0;
uint32_t err0 = sq(cr0 - r) + sq(cg0 - g) + sq(cb0 - b) + sq(ca0 - constant_alpha_val) * 2;
// If the alpha is < 3 or so we're kinda screwed. It's better to have some RGB error than it is to turn a 100% transparent area slightly opaque.
if ((err0 == 0) || (constant_alpha_val < 3))
{
pBlock->set_trans_low_color(lr0, lg0, lb0, la0);
pBlock->set_trans_high_color(0, 0, 0, 0);
pBlock->m_modulation[0] = 0;
pBlock->m_modulation[1] = 0;
pBlock->m_modulation[2] = 0;
pBlock->m_modulation[3] = 0;
return;
}
// Mod 3
uint32_t lr3 = (r * 15 + 128) / 255, lg3 = (g * 15 + 128) / 255, lb3 = (b * 15 + 128) / 255;
uint32_t la3 = g_pvrtc2_alpha_match33_3[constant_alpha_val].m_l;
uint32_t cr3 = (lr3 << 1) | (lr3 >> 3);
uint32_t cg3 = (lg3 << 1) | (lg3 >> 3);
uint32_t cb3 = (lb3 << 1) | (lb3 >> 3);
uint32_t ca3 = (la3 << 1) | 1;
cr3 = (cr3 << 3) | (cr3 >> 2);
cg3 = (cg3 << 3) | (cg3 >> 2);
cb3 = (cb3 << 3) | (cb3 >> 2);
ca3 = (ca3 << 4) | ca3;
uint32_t err3 = sq(cr3 - r) + sq(cg3 - g) + sq(cb3 - b) + sq(ca3 - constant_alpha_val) * 2;
// Mod 1
uint32_t lr1 = g_pvrtc2_trans_match44[r].m_l, lg1 = g_pvrtc2_trans_match44[g].m_l, lb1 = g_pvrtc2_trans_match34[b].m_l;
uint32_t hr1 = g_pvrtc2_trans_match44[r].m_h, hg1 = g_pvrtc2_trans_match44[g].m_h, hb1 = g_pvrtc2_trans_match34[b].m_h;
uint32_t la1 = g_pvrtc2_alpha_match33[constant_alpha_val].m_l, ha1 = g_pvrtc2_alpha_match33[constant_alpha_val].m_h;
uint32_t clr1 = (lr1 << 1) | (lr1 >> 3);
uint32_t clg1 = (lg1 << 1) | (lg1 >> 3);
uint32_t clb1 = (lb1 << 2) | (lb1 >> 1);
uint32_t cla1 = (la1 << 1);
clr1 = (clr1 << 3) | (clr1 >> 2);
clg1 = (clg1 << 3) | (clg1 >> 2);
clb1 = (clb1 << 3) | (clb1 >> 2);
cla1 = (cla1 << 4) | cla1;
uint32_t chr1 = (hr1 << 1) | (hr1 >> 3);
uint32_t chg1 = (hg1 << 1) | (hg1 >> 3);
uint32_t chb1 = (hb1 << 1) | (hb1 >> 3);
uint32_t cha1 = (ha1 << 1) | 1;
chr1 = (chr1 << 3) | (chr1 >> 2);
chg1 = (chg1 << 3) | (chg1 >> 2);
chb1 = (chb1 << 3) | (chb1 >> 2);
cha1 = (cha1 << 4) | cha1;
uint32_t r1 = (clr1 * 5 + chr1 * 3) / 8;
uint32_t g1 = (clg1 * 5 + chg1 * 3) / 8;
uint32_t b1 = (clb1 * 5 + chb1 * 3) / 8;
uint32_t a1 = (cla1 * 5 + cha1 * 3) / 8;
uint32_t err1 = sq(r1 - r) + sq(g1 - g) + sq(b1 - b) + sq(a1 - constant_alpha_val) * 2;
if ((err1 < err0) && (err1 < err3))
{
pBlock->set_trans_low_color(lr1, lg1, lb1, la1);
pBlock->set_trans_high_color(hr1, hg1, hb1, ha1);
pBlock->m_modulation[0] = 0x55;
pBlock->m_modulation[1] = 0x55;
pBlock->m_modulation[2] = 0x55;
pBlock->m_modulation[3] = 0x55;
}
else if (err0 < err3)
{
pBlock->set_trans_low_color(lr0, lg0, lb0, la0);
pBlock->set_trans_high_color(0, 0, 0, 0);
pBlock->m_modulation[0] = 0;
pBlock->m_modulation[1] = 0;
pBlock->m_modulation[2] = 0;
pBlock->m_modulation[3] = 0;
}
else
{
pBlock->set_trans_low_color(0, 0, 0, 0);
pBlock->set_trans_high_color(lr3, lg3, lb3, la3);
pBlock->m_modulation[0] = 0xFF;
pBlock->m_modulation[1] = 0xFF;
pBlock->m_modulation[2] = 0xFF;
pBlock->m_modulation[3] = 0xFF;
}
return;
}
// It's a complex block with non-solid color and/or alpha pixels.
vec4F minColor, maxColor;
if (solid_color_block)
{
// It's a solid color block.
uint32_t low_a = block_cols[alpha_selectors.m_lo_selector].a;
uint32_t high_a = block_cols[alpha_selectors.m_hi_selector].a;
const float S = 1.0f / 255.0f;
vec4F_set(&minColor, block_cols[low_selector].r * S, block_cols[low_selector].g * S, block_cols[low_selector].b * S, low_a * S);
vec4F_set(&maxColor, block_cols[low_selector].r * S, block_cols[low_selector].g * S, block_cols[low_selector].b * S, high_a * S);
}
else if (constant_alpha_val >= 0)
{
// It's a solid alpha block.
const float S = 1.0f / 255.0f;
vec4F_set(&minColor, block_cols[low_selector].r * S, block_cols[low_selector].g * S, block_cols[low_selector].b * S, constant_alpha_val * S);
vec4F_set(&maxColor, block_cols[high_selector].r * S, block_cols[high_selector].g * S, block_cols[high_selector].b * S, constant_alpha_val * S);
}
// See if any of the block colors got clamped - if so the principle axis got distorted (it's no longer just the ETC1S luma axis).
// To keep quality up we need to use full 4D PCA in this case.
else if ((block_cols[low_selector].c[0] == 0) || (block_cols[high_selector].c[0] == 255) ||
(block_cols[low_selector].c[1] == 0) || (block_cols[high_selector].c[1] == 255) ||
(block_cols[low_selector].c[2] == 0) || (block_cols[high_selector].c[2] == 255) ||
(block_cols[alpha_selectors.m_lo_selector].c[3] == 0) || (block_cols[alpha_selectors.m_hi_selector].c[3] == 255))
{
// Find principle component of RGBA colors treated as 4D vectors.
color32 pixels[16];
uint32_t sum_r = 0, sum_g = 0, sum_b = 0, sum_a = 0;
for (uint32_t i = 0; i < 16; i++)
{
color32 rgb(block_cols[pSelector->get_selector(i & 3, i >> 2)]);
uint32_t a = block_cols[alpha_selectors.get_selector(i & 3, i >> 2)].a;
pixels[i].set(rgb.r, rgb.g, rgb.b, a);
sum_r += rgb.r;
sum_g += rgb.g;
sum_b += rgb.b;
sum_a += a;
}
vec4F meanColor;
vec4F_set(&meanColor, (float)sum_r, (float)sum_g, (float)sum_b, (float)sum_a);
vec4F meanColorScaled = vec4F_mul(&meanColor, 1.0f / 16.0f);
meanColor = vec4F_mul(&meanColor, 1.0f / (float)(16.0f * 255.0f));
vec4F_saturate_in_place(&meanColor);
vec4F axis;
vec4F_set_scalar(&axis, 0.0f);
// Why this incremental method? Because it's stable and predictable. Covar+power method can require a lot of iterations to converge in 4D.
for (uint32_t i = 0; i < 16; i++)
{
vec4F color = vec4F_from_color(&pixels[i]);
color = vec4F_sub(&color, &meanColorScaled);
vec4F a = vec4F_mul(&color, color.c[0]);
vec4F b = vec4F_mul(&color, color.c[1]);
vec4F c = vec4F_mul(&color, color.c[2]);
vec4F d = vec4F_mul(&color, color.c[3]);
vec4F n = i ? axis : color;
vec4F_normalize_in_place(&n);
axis.c[0] += vec4F_dot(&a, &n);
axis.c[1] += vec4F_dot(&b, &n);
axis.c[2] += vec4F_dot(&c, &n);
axis.c[3] += vec4F_dot(&d, &n);
}
vec4F_normalize_in_place(&axis);
if (vec4F_dot(&axis, &axis) < .5f)
vec4F_set_scalar(&axis, .5f);
float l = 1e+9f, h = -1e+9f;
for (uint32_t i = 0; i < 16; i++)
{
vec4F color = vec4F_from_color(&pixels[i]);
vec4F q = vec4F_sub(&color, &meanColorScaled);
float d = vec4F_dot(&q, &axis);
l = basisu::minimum(l, d);
h = basisu::maximum(h, d);
}
l *= (1.0f / 255.0f);
h *= (1.0f / 255.0f);
vec4F b0 = vec4F_mul(&axis, l);
vec4F b1 = vec4F_mul(&axis, h);
vec4F c0 = vec4F_add(&meanColor, &b0);
vec4F c1 = vec4F_add(&meanColor, &b1);
minColor = vec4F_saturate(&c0);
maxColor = vec4F_saturate(&c1);
if (minColor.c[3] > maxColor.c[3])
{
// VS 2019 release Code Generator issue
//std::swap(minColor, maxColor);
float a = minColor.c[0], b = minColor.c[1], c = minColor.c[2], d = minColor.c[3];
minColor.c[0] = maxColor.c[0]; minColor.c[1] = maxColor.c[1]; minColor.c[2] = maxColor.c[2]; minColor.c[3] = maxColor.c[3];
minColor.c[0] = maxColor.c[0]; minColor.c[1] = maxColor.c[1]; minColor.c[2] = maxColor.c[2]; minColor.c[3] = maxColor.c[3];
maxColor.c[0] = a; maxColor.c[1] = b; maxColor.c[2] = c; maxColor.c[3] = d;
}
}
else
{
// We know the RGB axis is luma, because it's an ETC1S block and none of the block colors got clamped. So we only need to use 2D PCA.
// We project each LA vector onto two 2D lines with axes (1,1) and (1,-1) and find the largest projection to determine if axis A is flipped relative to L.
uint32_t block_cols_l[4], block_cols_a[4];
for (uint32_t i = 0; i < 4; i++)
{
block_cols_l[i] = block_cols[i].r + block_cols[i].g + block_cols[i].b;
block_cols_a[i] = block_cols[i].a * 3;
}
int p0_min = INT_MAX, p0_max = INT_MIN;
int p1_min = INT_MAX, p1_max = INT_MIN;
for (uint32_t y = 0; y < 4; y++)
{
const uint32_t cs = pSelector->m_selectors[y];
const uint32_t as = alpha_selectors.m_selectors[y];
{
const int l = block_cols_l[cs & 3];
const int a = block_cols_a[as & 3];
const int p0 = l + a; p0_min = basisu::minimum(p0_min, p0); p0_max = basisu::maximum(p0_max, p0);
const int p1 = l - a; p1_min = basisu::minimum(p1_min, p1); p1_max = basisu::maximum(p1_max, p1);
}
{
const int l = block_cols_l[(cs >> 2) & 3];
const int a = block_cols_a[(as >> 2) & 3];
const int p0 = l + a; p0_min = basisu::minimum(p0_min, p0); p0_max = basisu::maximum(p0_max, p0);
const int p1 = l - a; p1_min = basisu::minimum(p1_min, p1); p1_max = basisu::maximum(p1_max, p1);
}
{
const int l = block_cols_l[(cs >> 4) & 3];
const int a = block_cols_a[(as >> 4) & 3];
const int p0 = l + a; p0_min = basisu::minimum(p0_min, p0); p0_max = basisu::maximum(p0_max, p0);
const int p1 = l - a; p1_min = basisu::minimum(p1_min, p1); p1_max = basisu::maximum(p1_max, p1);
}
{
const int l = block_cols_l[cs >> 6];
const int a = block_cols_a[as >> 6];
const int p0 = l + a; p0_min = basisu::minimum(p0_min, p0); p0_max = basisu::maximum(p0_max, p0);
const int p1 = l - a; p1_min = basisu::minimum(p1_min, p1); p1_max = basisu::maximum(p1_max, p1);
}
}
int dist0 = p0_max - p0_min;
int dist1 = p1_max - p1_min;
const float S = 1.0f / 255.0f;
vec4F_set(&minColor, block_cols[low_selector].r * S, block_cols[low_selector].g * S, block_cols[low_selector].b * S, block_cols[alpha_selectors.m_lo_selector].a * S);
vec4F_set(&maxColor, block_cols[high_selector].r * S, block_cols[high_selector].g * S, block_cols[high_selector].b * S, block_cols[alpha_selectors.m_hi_selector].a * S);
// See if the A component of the principle axis is flipped relative to L. If so, we need to flip either RGB or A bounds.
if (dist1 > dist0)
{
std::swap(minColor.c[0], maxColor.c[0]);
std::swap(minColor.c[1], maxColor.c[1]);
std::swap(minColor.c[2], maxColor.c[2]);
}
}
// 4433 4443
color32 trialMinColor, trialMaxColor;
trialMinColor.set_clamped((int)(minColor.c[0] * 15.0f + .5f), (int)(minColor.c[1] * 15.0f + .5f), (int)(minColor.c[2] * 7.0f + .5f), (int)(minColor.c[3] * 7.0f + .5f));
trialMaxColor.set_clamped((int)(maxColor.c[0] * 15.0f + .5f), (int)(maxColor.c[1] * 15.0f + .5f), (int)(maxColor.c[2] * 15.0f + .5f), (int)(maxColor.c[3] * 7.0f + .5f));
pBlock->set_trans_low_color(trialMinColor.r, trialMinColor.g, trialMinColor.b, trialMinColor.a);
pBlock->set_trans_high_color(trialMaxColor.r, trialMaxColor.g, trialMaxColor.b, trialMaxColor.a);
color32 color_a((trialMinColor.r << 1) | (trialMinColor.r >> 3), (trialMinColor.g << 1) | (trialMinColor.g >> 3), (trialMinColor.b << 2) | (trialMinColor.b >> 1), trialMinColor.a << 1);
color32 color_b((trialMaxColor.r << 1) | (trialMaxColor.r >> 3), (trialMaxColor.g << 1) | (trialMaxColor.g >> 3), (trialMaxColor.b << 1) | (trialMaxColor.b >> 3), (trialMaxColor.a << 1) | 1);
color32 color0(convert_rgba_5554_to_8888(color_a));
color32 color3(convert_rgba_5554_to_8888(color_b));
const int lr = color0.r;
const int lg = color0.g;
const int lb = color0.b;
const int la = color0.a;
const int axis_r = color3.r - lr;
const int axis_g = color3.g - lg;
const int axis_b = color3.b - lb;
const int axis_a = color3.a - la;
const int len_a = (axis_r * axis_r) + (axis_g * axis_g) + (axis_b * axis_b) + (axis_a * axis_a);
const int thresh01 = (len_a * 3) / 16;
const int thresh12 = len_a >> 1;
const int thresh23 = (len_a * 13) / 16;
if ((axis_r | axis_g | axis_b) == 0)
{
int ca_sel[4];
for (uint32_t i = 0; i < 4; i++)
{
int ca = (block_cols[i].a - la) * axis_a;
ca_sel[i] = (ca >= thresh23) + (ca >= thresh12) + (ca >= thresh01);
}
for (uint32_t y = 0; y < 4; y++)
{
const uint32_t a_sels = alpha_selectors.m_selectors[y];
uint32_t sel = ca_sel[a_sels & 3] | (ca_sel[(a_sels >> 2) & 3] << 2) | (ca_sel[(a_sels >> 4) & 3] << 4) | (ca_sel[a_sels >> 6] << 6);
pBlock->m_modulation[y] = (uint8_t)sel;
}
}
else
{
int cy[4], ca[4];
for (uint32_t i = 0; i < 4; i++)
{
cy[i] = (block_cols[i].r - lr) * axis_r + (block_cols[i].g - lg) * axis_g + (block_cols[i].b - lb) * axis_b;
ca[i] = (block_cols[i].a - la) * axis_a;
}
for (uint32_t y = 0; y < 4; y++)
{
const uint32_t c_sels = pSelector->m_selectors[y];
const uint32_t a_sels = alpha_selectors.m_selectors[y];
const int d0 = cy[c_sels & 3] + ca[a_sels & 3];
const int d1 = cy[(c_sels >> 2) & 3] + ca[(a_sels >> 2) & 3];
const int d2 = cy[(c_sels >> 4) & 3] + ca[(a_sels >> 4) & 3];
const int d3 = cy[c_sels >> 6] + ca[a_sels >> 6];
uint32_t sel = ((d0 >= thresh23) + (d0 >= thresh12) + (d0 >= thresh01)) |
(((d1 >= thresh23) + (d1 >= thresh12) + (d1 >= thresh01)) << 2) |
(((d2 >= thresh23) + (d2 >= thresh12) + (d2 >= thresh01)) << 4) |
(((d3 >= thresh23) + (d3 >= thresh12) + (d3 >= thresh01)) << 6);
pBlock->m_modulation[y] = (uint8_t)sel;
}
}
}
static void transcoder_init_pvrtc2()
{
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t l = 0; l < 8; l++)
{
uint32_t le = (l << 1);
le = (le << 4) | le;
for (uint32_t h = 0; h < 8; h++)
{
uint32_t he = (h << 1) | 1;
he = (he << 4) | he;
uint32_t m = (le * 5 + he * 3) / 8;
int err = (int)labs((int)v - (int)m);
if (err < lowest_err)
{
lowest_err = err;
best_l = l;
best_h = h;
}
}
}
g_pvrtc2_alpha_match33[v].m_l = (uint8_t)best_l;
g_pvrtc2_alpha_match33[v].m_h = (uint8_t)best_h;
}
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t l = 0; l < 8; l++)
{
uint32_t le = (l << 1);
le = (le << 4) | le;
int err = (int)labs((int)v - (int)le);
if (err < lowest_err)
{
lowest_err = err;
best_l = l;
best_h = l;
}
}
g_pvrtc2_alpha_match33_0[v].m_l = (uint8_t)best_l;
g_pvrtc2_alpha_match33_0[v].m_h = (uint8_t)best_h;
}
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t h = 0; h < 8; h++)
{
uint32_t he = (h << 1) | 1;
he = (he << 4) | he;
int err = (int)labs((int)v - (int)he);
if (err < lowest_err)
{
lowest_err = err;
best_l = h;
best_h = h;
}
}
g_pvrtc2_alpha_match33_3[v].m_l = (uint8_t)best_l;
g_pvrtc2_alpha_match33_3[v].m_h = (uint8_t)best_h;
}
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t l = 0; l < 8; l++)
{
uint32_t le = (l << 2) | (l >> 1);
le = (le << 3) | (le >> 2);
for (uint32_t h = 0; h < 16; h++)
{
uint32_t he = (h << 1) | (h >> 3);
he = (he << 3) | (he >> 2);
uint32_t m = (le * 5 + he * 3) / 8;
int err = (int)labs((int)v - (int)m);
if (err < lowest_err)
{
lowest_err = err;
best_l = l;
best_h = h;
}
}
}
g_pvrtc2_trans_match34[v].m_l = (uint8_t)best_l;
g_pvrtc2_trans_match34[v].m_h = (uint8_t)best_h;
}
for (uint32_t v = 0; v < 256; v++)
{
int best_l = 0, best_h = 0, lowest_err = INT_MAX;
for (uint32_t l = 0; l < 16; l++)
{
uint32_t le = (l << 1) | (l >> 3);
le = (le << 3) | (le >> 2);
for (uint32_t h = 0; h < 16; h++)
{
uint32_t he = (h << 1) | (h >> 3);
he = (he << 3) | (he >> 2);
uint32_t m = (le * 5 + he * 3) / 8;
int err = (int)labs((int)v - (int)m);
if (err < lowest_err)
{
lowest_err = err;
best_l = l;
best_h = h;
}
}
}
g_pvrtc2_trans_match44[v].m_l = (uint8_t)best_l;
g_pvrtc2_trans_match44[v].m_h = (uint8_t)best_h;
}
}
#endif // BASISD_SUPPORT_PVRTC2
basisu_lowlevel_etc1s_transcoder::basisu_lowlevel_etc1s_transcoder() :
m_pGlobal_codebook(nullptr),
m_selector_history_buf_size(0)
{
}
bool basisu_lowlevel_etc1s_transcoder::decode_palettes(
uint32_t num_endpoints, const uint8_t* pEndpoints_data, uint32_t endpoints_data_size,
uint32_t num_selectors, const uint8_t* pSelectors_data, uint32_t selectors_data_size)
{
if (m_pGlobal_codebook)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 11\n");
return false;
}
bitwise_decoder sym_codec;
huffman_decoding_table color5_delta_model0, color5_delta_model1, color5_delta_model2, inten_delta_model;
if (!sym_codec.init(pEndpoints_data, endpoints_data_size))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 0\n");
return false;
}
if (!sym_codec.read_huffman_table(color5_delta_model0))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 1\n");
return false;
}
if (!sym_codec.read_huffman_table(color5_delta_model1))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 1a\n");
return false;
}
if (!sym_codec.read_huffman_table(color5_delta_model2))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 2a\n");
return false;
}
if (!sym_codec.read_huffman_table(inten_delta_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 2b\n");
return false;
}
if (!color5_delta_model0.is_valid() || !color5_delta_model1.is_valid() || !color5_delta_model2.is_valid() || !inten_delta_model.is_valid())
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 2b\n");
return false;
}
const bool endpoints_are_grayscale = sym_codec.get_bits(1) != 0;
m_local_endpoints.resize(num_endpoints);
color32 prev_color5(16, 16, 16, 0);
uint32_t prev_inten = 0;
for (uint32_t i = 0; i < num_endpoints; i++)
{
uint32_t inten_delta = sym_codec.decode_huffman(inten_delta_model);
m_local_endpoints[i].m_inten5 = static_cast<uint8_t>((inten_delta + prev_inten) & 7);
prev_inten = m_local_endpoints[i].m_inten5;
for (uint32_t c = 0; c < (endpoints_are_grayscale ? 1U : 3U); c++)
{
int delta;
if (prev_color5[c] <= basist::COLOR5_PAL0_PREV_HI)
delta = sym_codec.decode_huffman(color5_delta_model0);
else if (prev_color5[c] <= basist::COLOR5_PAL1_PREV_HI)
delta = sym_codec.decode_huffman(color5_delta_model1);
else
delta = sym_codec.decode_huffman(color5_delta_model2);
int v = (prev_color5[c] + delta) & 31;
m_local_endpoints[i].m_color5[c] = static_cast<uint8_t>(v);
prev_color5[c] = static_cast<uint8_t>(v);
}
if (endpoints_are_grayscale)
{
m_local_endpoints[i].m_color5[1] = m_local_endpoints[i].m_color5[0];
m_local_endpoints[i].m_color5[2] = m_local_endpoints[i].m_color5[0];
}
}
sym_codec.stop();
m_local_selectors.resize(num_selectors);
if (!sym_codec.init(pSelectors_data, selectors_data_size))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 5\n");
return false;
}
basist::huffman_decoding_table delta_selector_pal_model;
const bool used_global_selector_cb = (sym_codec.get_bits(1) == 1);
if (used_global_selector_cb)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: global selector codebooks are unsupported\n");
return false;
}
else
{
const bool used_hybrid_selector_cb = (sym_codec.get_bits(1) == 1);
if (used_hybrid_selector_cb)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: hybrid global selector codebooks are unsupported\n");
return false;
}
const bool used_raw_encoding = (sym_codec.get_bits(1) == 1);
if (used_raw_encoding)
{
for (uint32_t i = 0; i < num_selectors; i++)
{
for (uint32_t j = 0; j < 4; j++)
{
uint32_t cur_byte = sym_codec.get_bits(8);
for (uint32_t k = 0; k < 4; k++)
m_local_selectors[i].set_selector(k, j, (cur_byte >> (k * 2)) & 3);
}
m_local_selectors[i].init_flags();
}
}
else
{
if (!sym_codec.read_huffman_table(delta_selector_pal_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 10\n");
return false;
}
if ((num_selectors > 1) && (!delta_selector_pal_model.is_valid()))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_palettes: fail 10a\n");
return false;
}
uint8_t prev_bytes[4] = { 0, 0, 0, 0 };
for (uint32_t i = 0; i < num_selectors; i++)
{
if (!i)
{
for (uint32_t j = 0; j < 4; j++)
{
uint32_t cur_byte = sym_codec.get_bits(8);
prev_bytes[j] = static_cast<uint8_t>(cur_byte);
for (uint32_t k = 0; k < 4; k++)
m_local_selectors[i].set_selector(k, j, (cur_byte >> (k * 2)) & 3);
}
m_local_selectors[i].init_flags();
continue;
}
for (uint32_t j = 0; j < 4; j++)
{
int delta_byte = sym_codec.decode_huffman(delta_selector_pal_model);
uint32_t cur_byte = delta_byte ^ prev_bytes[j];
prev_bytes[j] = static_cast<uint8_t>(cur_byte);
for (uint32_t k = 0; k < 4; k++)
m_local_selectors[i].set_selector(k, j, (cur_byte >> (k * 2)) & 3);
}
m_local_selectors[i].init_flags();
}
}
}
sym_codec.stop();
return true;
}
bool basisu_lowlevel_etc1s_transcoder::decode_tables(const uint8_t* pTable_data, uint32_t table_data_size)
{
basist::bitwise_decoder sym_codec;
if (!sym_codec.init(pTable_data, table_data_size))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 0\n");
return false;
}
if (!sym_codec.read_huffman_table(m_endpoint_pred_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 1\n");
return false;
}
if (m_endpoint_pred_model.get_code_sizes().size() == 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 1a\n");
return false;
}
if (!sym_codec.read_huffman_table(m_delta_endpoint_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 2\n");
return false;
}
if (m_delta_endpoint_model.get_code_sizes().size() == 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 2a\n");
return false;
}
if (!sym_codec.read_huffman_table(m_selector_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 3\n");
return false;
}
if (m_selector_model.get_code_sizes().size() == 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 3a\n");
return false;
}
if (!sym_codec.read_huffman_table(m_selector_history_buf_rle_model))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 4\n");
return false;
}
if (m_selector_history_buf_rle_model.get_code_sizes().size() == 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 4a\n");
return false;
}
m_selector_history_buf_size = sym_codec.get_bits(13);
// Check for bogus values.
if (!m_selector_history_buf_size)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::decode_tables: fail 5\n");
return false;
}
sym_codec.stop();
return true;
}
bool basisu_lowlevel_etc1s_transcoder::transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, const bool is_video, const bool is_alpha_slice, const uint32_t level_index, const uint32_t orig_width, const uint32_t orig_height, uint32_t output_row_pitch_in_blocks_or_pixels,
basisu_transcoder_state* pState, bool transcode_alpha, void *pAlpha_blocks, uint32_t output_rows_in_pixels)
{
// 'pDst_blocks' unused when disabling *all* hardware transcode options
// (and 'bc1_allow_threecolor_blocks' when disabling DXT)
BASISU_NOTE_UNUSED(pDst_blocks);
BASISU_NOTE_UNUSED(bc1_allow_threecolor_blocks);
BASISU_NOTE_UNUSED(transcode_alpha);
BASISU_NOTE_UNUSED(pAlpha_blocks);
assert(g_transcoder_initialized);
if (!g_transcoder_initialized)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: Transcoder not globally initialized.\n");
return false;
}
if (!pState)
pState = &m_def_state;
const uint32_t total_blocks = num_blocks_x * num_blocks_y;
if (!output_row_pitch_in_blocks_or_pixels)
{
if (basis_block_format_is_uncompressed(fmt))
output_row_pitch_in_blocks_or_pixels = orig_width;
else
{
if (fmt == block_format::cFXT1_RGB)
output_row_pitch_in_blocks_or_pixels = (orig_width + 7) / 8;
else
output_row_pitch_in_blocks_or_pixels = num_blocks_x;
}
}
if (basis_block_format_is_uncompressed(fmt))
{
if (!output_rows_in_pixels)
output_rows_in_pixels = orig_height;
}
basisu::vector<uint32_t>* pPrev_frame_indices = nullptr;
if (is_video)
{
// TODO: Add check to make sure the caller hasn't tried skipping past p-frames
//const bool alpha_flag = (slice_desc.m_flags & cSliceDescFlagsHasAlpha) != 0;
//const uint32_t level_index = slice_desc.m_level_index;
if (level_index >= basisu_transcoder_state::cMaxPrevFrameLevels)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: unsupported level_index\n");
return false;
}
pPrev_frame_indices = &pState->m_prev_frame_indices[is_alpha_slice][level_index];
if (pPrev_frame_indices->size() < total_blocks)
pPrev_frame_indices->resize(total_blocks);
}
basist::bitwise_decoder sym_codec;
if (!sym_codec.init(pImage_data, image_data_size))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: sym_codec.init failed\n");
return false;
}
approx_move_to_front selector_history_buf(m_selector_history_buf_size);
uint32_t cur_selector_rle_count = 0;
decoder_etc_block block;
memset(&block, 0, sizeof(block));
//block.set_flip_bit(true);
// Setting the flip bit to false to be compatible with the Khronos KDFS.
block.set_flip_bit(false);
block.set_diff_bit(true);
void* pPVRTC_work_mem = nullptr;
uint32_t* pPVRTC_endpoints = nullptr;
if ((fmt == block_format::cPVRTC1_4_RGB) || (fmt == block_format::cPVRTC1_4_RGBA))
{
pPVRTC_work_mem = malloc(num_blocks_x * num_blocks_y * (sizeof(decoder_etc_block) + sizeof(uint32_t)));
if (!pPVRTC_work_mem)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: malloc failed\n");
return false;
}
pPVRTC_endpoints = (uint32_t*) & ((decoder_etc_block*)pPVRTC_work_mem)[num_blocks_x * num_blocks_y];
}
if (pState->m_block_endpoint_preds[0].size() < num_blocks_x)
{
pState->m_block_endpoint_preds[0].resize(num_blocks_x);
pState->m_block_endpoint_preds[1].resize(num_blocks_x);
}
uint32_t cur_pred_bits = 0;
int prev_endpoint_pred_sym = 0;
int endpoint_pred_repeat_count = 0;
uint32_t prev_endpoint_index = 0;
const endpoint_vec& endpoints = m_pGlobal_codebook ? m_pGlobal_codebook->m_local_endpoints : m_local_endpoints;
const selector_vec& selectors = m_pGlobal_codebook ? m_pGlobal_codebook->m_local_selectors : m_local_selectors;
if (!endpoints.size() || !selectors.size())
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: global codebooks must be unpacked first\n");
return false;
}
const uint32_t SELECTOR_HISTORY_BUF_FIRST_SYMBOL_INDEX = (uint32_t)selectors.size();
const uint32_t SELECTOR_HISTORY_BUF_RLE_SYMBOL_INDEX = m_selector_history_buf_size + SELECTOR_HISTORY_BUF_FIRST_SYMBOL_INDEX;
for (uint32_t block_y = 0; block_y < num_blocks_y; block_y++)
{
const uint32_t cur_block_endpoint_pred_array = block_y & 1;
for (uint32_t block_x = 0; block_x < num_blocks_x; block_x++)
{
// Decode endpoint index predictor symbols
if ((block_x & 1) == 0)
{
if ((block_y & 1) == 0)
{
if (endpoint_pred_repeat_count)
{
endpoint_pred_repeat_count--;
cur_pred_bits = prev_endpoint_pred_sym;
}
else
{
cur_pred_bits = sym_codec.decode_huffman(m_endpoint_pred_model);
if (cur_pred_bits == ENDPOINT_PRED_REPEAT_LAST_SYMBOL)
{
endpoint_pred_repeat_count = sym_codec.decode_vlc(ENDPOINT_PRED_COUNT_VLC_BITS) + ENDPOINT_PRED_MIN_REPEAT_COUNT - 1;
cur_pred_bits = prev_endpoint_pred_sym;
}
else
{
prev_endpoint_pred_sym = cur_pred_bits;
}
}
pState->m_block_endpoint_preds[cur_block_endpoint_pred_array ^ 1][block_x].m_pred_bits = (uint8_t)(cur_pred_bits >> 4);
}
else
{
cur_pred_bits = pState->m_block_endpoint_preds[cur_block_endpoint_pred_array][block_x].m_pred_bits;
}
}
// Decode endpoint index
uint32_t endpoint_index, selector_index = 0;
const uint32_t pred = cur_pred_bits & 3;
cur_pred_bits >>= 2;
if (pred == 0)
{
// Left
if (!block_x)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (0)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
endpoint_index = prev_endpoint_index;
}
else if (pred == 1)
{
// Upper
if (!block_y)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (1)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
endpoint_index = pState->m_block_endpoint_preds[cur_block_endpoint_pred_array ^ 1][block_x].m_endpoint_index;
}
else if (pred == 2)
{
if (is_video)
{
assert(pred == CR_ENDPOINT_PRED_INDEX);
endpoint_index = (*pPrev_frame_indices)[block_x + block_y * num_blocks_x];
selector_index = endpoint_index >> 16;
endpoint_index &= 0xFFFFU;
}
else
{
// Upper left
if ((!block_x) || (!block_y))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (2)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
endpoint_index = pState->m_block_endpoint_preds[cur_block_endpoint_pred_array ^ 1][block_x - 1].m_endpoint_index;
}
}
else
{
// Decode and apply delta
const uint32_t delta_sym = sym_codec.decode_huffman(m_delta_endpoint_model);
endpoint_index = delta_sym + prev_endpoint_index;
if (endpoint_index >= endpoints.size())
endpoint_index -= (int)endpoints.size();
}
pState->m_block_endpoint_preds[cur_block_endpoint_pred_array][block_x].m_endpoint_index = (uint16_t)endpoint_index;
prev_endpoint_index = endpoint_index;
// Decode selector index
if ((!is_video) || (pred != CR_ENDPOINT_PRED_INDEX))
{
int selector_sym;
if (cur_selector_rle_count > 0)
{
cur_selector_rle_count--;
selector_sym = (int)selectors.size();
}
else
{
selector_sym = sym_codec.decode_huffman(m_selector_model);
if (selector_sym == static_cast<int>(SELECTOR_HISTORY_BUF_RLE_SYMBOL_INDEX))
{
int run_sym = sym_codec.decode_huffman(m_selector_history_buf_rle_model);
if (run_sym == (SELECTOR_HISTORY_BUF_RLE_COUNT_TOTAL - 1))
cur_selector_rle_count = sym_codec.decode_vlc(7) + SELECTOR_HISTORY_BUF_RLE_COUNT_THRESH;
else
cur_selector_rle_count = run_sym + SELECTOR_HISTORY_BUF_RLE_COUNT_THRESH;
if (cur_selector_rle_count > total_blocks)
{
// The file is corrupted or we've got a bug.
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (3)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
selector_sym = (int)selectors.size();
cur_selector_rle_count--;
}
}
if (selector_sym >= (int)selectors.size())
{
assert(m_selector_history_buf_size > 0);
int history_buf_index = selector_sym - (int)selectors.size();
if (history_buf_index >= (int)selector_history_buf.size())
{
// The file is corrupted or we've got a bug.
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (4)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
selector_index = selector_history_buf[history_buf_index];
if (history_buf_index != 0)
selector_history_buf.use(history_buf_index);
}
else
{
selector_index = selector_sym;
if (m_selector_history_buf_size)
selector_history_buf.add(selector_index);
}
}
if ((endpoint_index >= endpoints.size()) || (selector_index >= selectors.size()))
{
// The file is corrupted or we've got a bug.
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: invalid datastream (5)\n");
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return false;
}
if (is_video)
(*pPrev_frame_indices)[block_x + block_y * num_blocks_x] = endpoint_index | (selector_index << 16);
#if BASISD_ENABLE_DEBUG_FLAGS
if ((g_debug_flags & cDebugFlagVisCRs) && ((fmt == block_format::cETC1) || (fmt == block_format::cBC1)))
{
if ((is_video) && (pred == 2))
{
decoder_etc_block* pDst_block = reinterpret_cast<decoder_etc_block*>(static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes);
memset(pDst_block, 0xFF, 8);
continue;
}
}
#endif
const endpoint* pEndpoints = &endpoints[endpoint_index];
const selector* pSelector = &selectors[selector_index];
switch (fmt)
{
case block_format::cETC1:
{
decoder_etc_block* pDst_block = reinterpret_cast<decoder_etc_block*>(static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes);
block.set_base5_color(decoder_etc_block::pack_color5(pEndpoints->m_color5, false));
block.set_inten_table(0, pEndpoints->m_inten5);
block.set_inten_table(1, pEndpoints->m_inten5);
pDst_block->m_uint32[0] = block.m_uint32[0];
pDst_block->set_raw_selector_bits(pSelector->m_bytes[0], pSelector->m_bytes[1], pSelector->m_bytes[2], pSelector->m_bytes[3]);
break;
}
case block_format::cBC1:
{
#if BASISD_SUPPORT_DXT1
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
#if BASISD_ENABLE_DEBUG_FLAGS
if (g_debug_flags & (cDebugFlagVisBC1Sels | cDebugFlagVisBC1Endpoints))
convert_etc1s_to_dxt1_vis(static_cast<dxt1_block*>(pDst_block), pEndpoints, pSelector, bc1_allow_threecolor_blocks);
else
#endif
convert_etc1s_to_dxt1(static_cast<dxt1_block*>(pDst_block), pEndpoints, pSelector, bc1_allow_threecolor_blocks);
#else
assert(0);
#endif
break;
}
case block_format::cBC4:
{
#if BASISD_SUPPORT_DXT5A
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_dxt5a(static_cast<dxt5a_block*>(pDst_block), pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cPVRTC1_4_RGB:
{
#if BASISD_SUPPORT_PVRTC1
block.set_base5_color(decoder_etc_block::pack_color5(pEndpoints->m_color5, false));
block.set_inten_table(0, pEndpoints->m_inten5);
block.set_inten_table(1, pEndpoints->m_inten5);
block.set_raw_selector_bits(pSelector->m_bytes[0], pSelector->m_bytes[1], pSelector->m_bytes[2], pSelector->m_bytes[3]);
((decoder_etc_block*)pPVRTC_work_mem)[block_x + block_y * num_blocks_x] = block;
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
// Get block's RGB bounding box
color32 block_colors[2];
decoder_etc_block::get_block_colors5_bounds(block_colors, base_color, inten_table, low_selector, high_selector);
assert(block_colors[0][0] <= block_colors[1][0]);
assert(block_colors[0][1] <= block_colors[1][1]);
assert(block_colors[0][2] <= block_colors[1][2]);
// Set PVRTC1 endpoints to floor/ceil of bounding box's coordinates.
pvrtc4_block temp;
temp.set_opaque_endpoint_floor(0, block_colors[0]);
temp.set_opaque_endpoint_ceil(1, block_colors[1]);
pPVRTC_endpoints[block_x + block_y * num_blocks_x] = temp.m_endpoints;
#else
assert(0);
#endif
break;
}
case block_format::cPVRTC1_4_RGBA:
{
#if BASISD_SUPPORT_PVRTC1
assert(pAlpha_blocks);
block.set_base5_color(decoder_etc_block::pack_color5(pEndpoints->m_color5, false));
block.set_inten_table(0, pEndpoints->m_inten5);
block.set_inten_table(1, pEndpoints->m_inten5);
block.set_raw_selector_bits(pSelector->m_selectors[0], pSelector->m_selectors[1], pSelector->m_selectors[2], pSelector->m_selectors[3]);
((decoder_etc_block*)pPVRTC_work_mem)[block_x + block_y * num_blocks_x] = block;
// Get block's RGBA bounding box
const color32& base_color = pEndpoints->m_color5;
const uint32_t inten_table = pEndpoints->m_inten5;
const uint32_t low_selector = pSelector->m_lo_selector;
const uint32_t high_selector = pSelector->m_hi_selector;
color32 block_colors[2];
decoder_etc_block::get_block_colors5_bounds(block_colors, base_color, inten_table, low_selector, high_selector);
assert(block_colors[0][0] <= block_colors[1][0]);
assert(block_colors[0][1] <= block_colors[1][1]);
assert(block_colors[0][2] <= block_colors[1][2]);
const uint16_t* pAlpha_block = reinterpret_cast<uint16_t*>(static_cast<uint8_t*>(pAlpha_blocks) + (block_x + block_y * num_blocks_x) * sizeof(uint32_t));
const endpoint* pAlpha_endpoints = &endpoints[pAlpha_block[0]];
const selector* pAlpha_selector = &selectors[pAlpha_block[1]];
const color32& alpha_base_color = pAlpha_endpoints->m_color5;
const uint32_t alpha_inten_table = pAlpha_endpoints->m_inten5;
const uint32_t alpha_low_selector = pAlpha_selector->m_lo_selector;
const uint32_t alpha_high_selector = pAlpha_selector->m_hi_selector;
uint32_t alpha_block_colors[2];
decoder_etc_block::get_block_colors5_bounds_g(alpha_block_colors, alpha_base_color, alpha_inten_table, alpha_low_selector, alpha_high_selector);
assert(alpha_block_colors[0] <= alpha_block_colors[1]);
block_colors[0].a = (uint8_t)alpha_block_colors[0];
block_colors[1].a = (uint8_t)alpha_block_colors[1];
// Set PVRTC1 endpoints to floor/ceil of bounding box's coordinates.
pvrtc4_block temp;
temp.set_endpoint_floor(0, block_colors[0]);
temp.set_endpoint_ceil(1, block_colors[1]);
pPVRTC_endpoints[block_x + block_y * num_blocks_x] = temp.m_endpoints;
#else
assert(0);
#endif
break;
}
case block_format::cBC7: // for more consistency with UASTC
case block_format::cBC7_M5_COLOR:
{
#if BASISD_SUPPORT_BC7_MODE5
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_bc7_m5_color(pDst_block, pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cBC7_M5_ALPHA:
{
#if BASISD_SUPPORT_BC7_MODE5
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_bc7_m5_alpha(pDst_block, pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cETC2_EAC_A8:
{
#if BASISD_SUPPORT_ETC2_EAC_A8
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_etc2_eac_a8(static_cast<eac_block*>(pDst_block), pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cASTC_4x4:
{
#if BASISD_SUPPORT_ASTC
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_astc_4x4(pDst_block, pEndpoints, pSelector, transcode_alpha, &endpoints[0], &selectors[0]);
#else
assert(0);
#endif
break;
}
case block_format::cATC_RGB:
{
#if BASISD_SUPPORT_ATC
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_atc(pDst_block, pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
case block_format::cFXT1_RGB:
{
#if BASISD_SUPPORT_FXT1
const uint32_t fxt1_block_x = block_x >> 1;
const uint32_t fxt1_block_y = block_y;
const uint32_t fxt1_subblock = block_x & 1;
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (fxt1_block_x + fxt1_block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_fxt1(pDst_block, pEndpoints, pSelector, fxt1_subblock);
#else
assert(0);
#endif
break;
}
case block_format::cPVRTC2_4_RGB:
{
#if BASISD_SUPPORT_PVRTC2
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_pvrtc2_rgb(pDst_block, pEndpoints, pSelector);
#endif
break;
}
case block_format::cPVRTC2_4_RGBA:
{
#if BASISD_SUPPORT_PVRTC2
assert(transcode_alpha);
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_pvrtc2_rgba(pDst_block, pEndpoints, pSelector, &endpoints[0], &selectors[0]);
#endif
break;
}
case block_format::cIndices:
{
uint16_t* pDst_block = reinterpret_cast<uint16_t *>(static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes);
pDst_block[0] = static_cast<uint16_t>(endpoint_index);
pDst_block[1] = static_cast<uint16_t>(selector_index);
break;
}
case block_format::cA32:
{
assert(sizeof(uint32_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint32_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
int colors[4];
decoder_etc_block::get_block_colors5_g(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
if (max_x == 4)
{
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
pDst_pixels[3] = static_cast<uint8_t>(colors[s & 3]);
pDst_pixels[3+4] = static_cast<uint8_t>(colors[(s >> 2) & 3]);
pDst_pixels[3+8] = static_cast<uint8_t>(colors[(s >> 4) & 3]);
pDst_pixels[3+12] = static_cast<uint8_t>(colors[(s >> 6) & 3]);
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
}
else
{
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
pDst_pixels[3 + 4 * x] = static_cast<uint8_t>(colors[(s >> (x * 2)) & 3]);
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
}
break;
}
case block_format::cRGB32:
{
assert(sizeof(uint32_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint32_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = colors[(s >> (x * 2)) & 3];
pDst_pixels[0 + 4 * x] = c.r;
pDst_pixels[1 + 4 * x] = c.g;
pDst_pixels[2 + 4 * x] = c.b;
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
break;
}
case block_format::cRGBA32:
{
assert(sizeof(uint32_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint32_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = colors[(s >> (x * 2)) & 3];
pDst_pixels[0 + 4 * x] = c.r;
pDst_pixels[1 + 4 * x] = c.g;
pDst_pixels[2 + 4 * x] = c.b;
pDst_pixels[3 + 4 * x] = 255;
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
break;
}
case block_format::cRGB565:
case block_format::cBGR565:
{
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
uint16_t packed_colors[4];
if (fmt == block_format::cRGB565)
{
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = static_cast<uint16_t>((mul_8(colors[i].r, 31) << 11) | (mul_8(colors[i].g, 63) << 5) | mul_8(colors[i].b, 31));
if (BASISD_IS_BIG_ENDIAN)
packed_colors[i] = byteswap_uint16(packed_colors[i]);
}
}
else
{
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = static_cast<uint16_t>((mul_8(colors[i].b, 31) << 11) | (mul_8(colors[i].g, 63) << 5) | mul_8(colors[i].r, 31));
if (BASISD_IS_BIG_ENDIAN)
packed_colors[i] = byteswap_uint16(packed_colors[i]);
}
}
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
reinterpret_cast<uint16_t *>(pDst_pixels)[x] = packed_colors[(s >> (x * 2)) & 3];
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cRGBA4444_COLOR:
{
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
uint16_t packed_colors[4];
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = static_cast<uint16_t>((mul_8(colors[i].r, 15) << 12) | (mul_8(colors[i].g, 15) << 8) | (mul_8(colors[i].b, 15) << 4));
}
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
{
uint16_t cur = reinterpret_cast<uint16_t*>(pDst_pixels)[x];
if (BASISD_IS_BIG_ENDIAN)
cur = byteswap_uint16(cur);
cur = (cur & 0xF) | packed_colors[(s >> (x * 2)) & 3];
if (BASISD_IS_BIG_ENDIAN)
cur = byteswap_uint16(cur);
reinterpret_cast<uint16_t*>(pDst_pixels)[x] = cur;
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cRGBA4444_COLOR_OPAQUE:
{
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
uint16_t packed_colors[4];
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = static_cast<uint16_t>((mul_8(colors[i].r, 15) << 12) | (mul_8(colors[i].g, 15) << 8) | (mul_8(colors[i].b, 15) << 4) | 0xF);
if (BASISD_IS_BIG_ENDIAN)
packed_colors[i] = byteswap_uint16(packed_colors[i]);
}
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
reinterpret_cast<uint16_t*>(pDst_pixels)[x] = packed_colors[(s >> (x * 2)) & 3];
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cRGBA4444_ALPHA:
{
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
color32 colors[4];
decoder_etc_block::get_block_colors5(colors, pEndpoints->m_color5, pEndpoints->m_inten5);
uint16_t packed_colors[4];
for (uint32_t i = 0; i < 4; i++)
{
packed_colors[i] = mul_8(colors[i].g, 15);
if (BASISD_IS_BIG_ENDIAN)
packed_colors[i] = byteswap_uint16(packed_colors[i]);
}
for (uint32_t y = 0; y < max_y; y++)
{
const uint32_t s = pSelector->m_selectors[y];
for (uint32_t x = 0; x < max_x; x++)
{
reinterpret_cast<uint16_t*>(pDst_pixels)[x] = packed_colors[(s >> (x * 2)) & 3];
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cETC2_EAC_R11:
{
#if BASISD_SUPPORT_ETC2_EAC_RG11
void* pDst_block = static_cast<uint8_t*>(pDst_blocks) + (block_x + block_y * output_row_pitch_in_blocks_or_pixels) * output_block_or_pixel_stride_in_bytes;
convert_etc1s_to_etc2_eac_r11(static_cast<eac_block*>(pDst_block), pEndpoints, pSelector);
#else
assert(0);
#endif
break;
}
default:
{
assert(0);
break;
}
}
} // block_x
} // block-y
if (endpoint_pred_repeat_count != 0)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_slice: endpoint_pred_repeat_count != 0. The file is corrupted or this is a bug\n");
return false;
}
//assert(endpoint_pred_repeat_count == 0);
#if BASISD_SUPPORT_PVRTC1
// PVRTC post process - create per-pixel modulation values.
if (fmt == block_format::cPVRTC1_4_RGB)
fixup_pvrtc1_4_modulation_rgb((decoder_etc_block*)pPVRTC_work_mem, pPVRTC_endpoints, pDst_blocks, num_blocks_x, num_blocks_y);
else if (fmt == block_format::cPVRTC1_4_RGBA)
fixup_pvrtc1_4_modulation_rgba((decoder_etc_block*)pPVRTC_work_mem, pPVRTC_endpoints, pDst_blocks, num_blocks_x, num_blocks_y, pAlpha_blocks, &endpoints[0], &selectors[0]);
#endif // BASISD_SUPPORT_PVRTC1
if (pPVRTC_work_mem)
free(pPVRTC_work_mem);
return true;
}
bool basis_validate_output_buffer_size(transcoder_texture_format target_format,
uint32_t output_blocks_buf_size_in_blocks_or_pixels,
uint32_t orig_width, uint32_t orig_height,
uint32_t output_row_pitch_in_blocks_or_pixels,
uint32_t output_rows_in_pixels,
uint32_t total_slice_blocks)
{
if (basis_transcoder_format_is_uncompressed(target_format))
{
// Assume the output buffer is orig_width by orig_height
if (!output_row_pitch_in_blocks_or_pixels)
output_row_pitch_in_blocks_or_pixels = orig_width;
if (!output_rows_in_pixels)
output_rows_in_pixels = orig_height;
// Now make sure the output buffer is large enough, or we'll overwrite memory.
if (output_blocks_buf_size_in_blocks_or_pixels < (output_rows_in_pixels * output_row_pitch_in_blocks_or_pixels))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: output_blocks_buf_size_in_blocks_or_pixels < (output_rows_in_pixels * output_row_pitch_in_blocks_or_pixels)\n");
return false;
}
}
else if (target_format == transcoder_texture_format::cTFFXT1_RGB)
{
const uint32_t num_blocks_fxt1_x = (orig_width + 7) / 8;
const uint32_t num_blocks_fxt1_y = (orig_height + 3) / 4;
const uint32_t total_blocks_fxt1 = num_blocks_fxt1_x * num_blocks_fxt1_y;
if (output_blocks_buf_size_in_blocks_or_pixels < total_blocks_fxt1)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: output_blocks_buf_size_in_blocks_or_pixels < total_blocks_fxt1\n");
return false;
}
}
else
{
if (output_blocks_buf_size_in_blocks_or_pixels < total_slice_blocks)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: output_blocks_buf_size_in_blocks_or_pixels < transcode_image\n");
return false;
}
}
return true;
}
bool basisu_lowlevel_etc1s_transcoder::transcode_image(
transcoder_texture_format target_format,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
const uint8_t* pCompressed_data, uint32_t compressed_data_length,
uint32_t num_blocks_x, uint32_t num_blocks_y, uint32_t orig_width, uint32_t orig_height, uint32_t level_index,
uint32_t rgb_offset, uint32_t rgb_length, uint32_t alpha_offset, uint32_t alpha_length,
uint32_t decode_flags,
bool basis_file_has_alpha_slices,
bool is_video,
uint32_t output_row_pitch_in_blocks_or_pixels,
basisu_transcoder_state* pState,
uint32_t output_rows_in_pixels)
{
if (((uint64_t)rgb_offset + rgb_length) > (uint64_t)compressed_data_length)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: source data buffer too small (color)\n");
return false;
}
if (alpha_length)
{
if (((uint64_t)alpha_offset + alpha_length) > (uint64_t)compressed_data_length)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: source data buffer too small (alpha)\n");
return false;
}
}
else
{
assert(!basis_file_has_alpha_slices);
}
if ((target_format == transcoder_texture_format::cTFPVRTC1_4_RGB) || (target_format == transcoder_texture_format::cTFPVRTC1_4_RGBA))
{
if ((!basisu::is_pow2(num_blocks_x * 4)) || (!basisu::is_pow2(num_blocks_y * 4)))
{
// PVRTC1 only supports power of 2 dimensions
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: PVRTC1 only supports power of 2 dimensions\n");
return false;
}
}
if ((target_format == transcoder_texture_format::cTFPVRTC1_4_RGBA) && (!basis_file_has_alpha_slices))
{
// Switch to PVRTC1 RGB if the input doesn't have alpha.
target_format = transcoder_texture_format::cTFPVRTC1_4_RGB;
}
const bool transcode_alpha_data_to_opaque_formats = (decode_flags & cDecodeFlagsTranscodeAlphaDataToOpaqueFormats) != 0;
const uint32_t bytes_per_block_or_pixel = basis_get_bytes_per_block_or_pixel(target_format);
const uint32_t total_slice_blocks = num_blocks_x * num_blocks_y;
if (!basis_validate_output_buffer_size(target_format, output_blocks_buf_size_in_blocks_or_pixels, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, output_rows_in_pixels, total_slice_blocks))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: output buffer size too small\n");
return false;
}
bool status = false;
const uint8_t* pData = pCompressed_data + rgb_offset;
uint32_t data_len = rgb_length;
bool is_alpha_slice = false;
// If the caller wants us to transcode the mip level's alpha data, then use the next slice.
if ((basis_file_has_alpha_slices) && (transcode_alpha_data_to_opaque_formats))
{
pData = pCompressed_data + alpha_offset;
data_len = alpha_length;
is_alpha_slice = true;
}
switch (target_format)
{
case transcoder_texture_format::cTFETC1_RGB:
{
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC1, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cETC1, bytes_per_block_or_pixel, false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ETC1 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC1_RGB:
{
#if !BASISD_SUPPORT_DXT1
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: BC1/DXT1 unsupported\n");
return false;
#else
// status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC1, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cBC1, bytes_per_block_or_pixel, true, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to BC1 failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFBC4_R:
{
#if !BASISD_SUPPORT_DXT5A
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: BC4/DXT5A unsupported\n");
return false;
#else
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cBC4, bytes_per_block_or_pixel, false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to BC4 failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFPVRTC1_4_RGB:
{
#if !BASISD_SUPPORT_PVRTC1
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: PVRTC1 4 unsupported\n");
return false;
#else
// output_row_pitch_in_blocks_or_pixels is actually ignored because we're transcoding to PVRTC1. (Print a dev warning if it's != 0?)
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC1_4_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cPVRTC1_4_RGB, bytes_per_block_or_pixel, false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to PVRTC1 4 RGB failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
{
#if !BASISD_SUPPORT_PVRTC1
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: PVRTC1 4 unsupported\n");
return false;
#else
assert(basis_file_has_alpha_slices);
assert(alpha_length);
// Temp buffer to hold alpha block endpoint/selector indices
basisu::vector<uint32_t> temp_block_indices(total_slice_blocks);
// First transcode alpha data to temp buffer
//status = transcode_slice(pData, data_size, slice_index + 1, &temp_block_indices[0], total_slice_blocks, block_format::cIndices, sizeof(uint32_t), decode_flags, pSlice_descs[slice_index].m_num_blocks_x, pState);
status = transcode_slice(&temp_block_indices[0], num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cIndices, sizeof(uint32_t), false, is_video, true, level_index, orig_width, orig_height, num_blocks_x, pState, false, nullptr, 0);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to PVRTC1 4 RGBA failed (0)\n");
}
else
{
// output_row_pitch_in_blocks_or_pixels is actually ignored because we're transcoding to PVRTC1. (Print a dev warning if it's != 0?)
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC1_4_RGBA, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState, &temp_block_indices[0]);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cPVRTC1_4_RGBA, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, &temp_block_indices[0], 0);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to PVRTC1 4 RGBA failed (1)\n");
}
}
break;
#endif
}
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
{
#if !BASISD_SUPPORT_BC7_MODE5
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: BC7 unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
// We used to support transcoding just alpha to BC7 - but is that useful at all?
// First transcode the color slice. The cBC7_M5_COLOR transcoder will output opaque mode 5 blocks.
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC7_M5_COLOR, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cBC7_M5_COLOR, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if ((status) && (basis_file_has_alpha_slices))
{
// Now transcode the alpha slice. The cBC7_M5_ALPHA transcoder will now change the opaque mode 5 blocks to blocks with alpha.
//status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC7_M5_ALPHA, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cBC7_M5_ALPHA, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
}
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to BC7 failed (0)\n");
}
break;
#endif
}
case transcoder_texture_format::cTFETC2_RGBA:
{
#if !BASISD_SUPPORT_ETC2_EAC_A8
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: ETC2 EAC A8 unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
if (basis_file_has_alpha_slices)
{
// First decode the alpha data
//status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_A8, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cETC2_EAC_A8, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
}
else
{
//write_opaque_alpha_blocks(pSlice_descs[slice_index].m_num_blocks_x, pSlice_descs[slice_index].m_num_blocks_y, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_A8, 16, output_row_pitch_in_blocks_or_pixels);
basisu_transcoder::write_opaque_alpha_blocks(num_blocks_x, num_blocks_y, pOutput_blocks, block_format::cETC2_EAC_A8, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
if (status)
{
// Now decode the color data
//status = transcode_slice(pData, data_size, slice_index, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC1, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice((uint8_t *)pOutput_blocks + 8, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cETC1, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ETC2 RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ETC2 A failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFBC3_RGBA:
{
#if !BASISD_SUPPORT_DXT1
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: DXT1 unsupported\n");
return false;
#elif !BASISD_SUPPORT_DXT5A
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: DXT5A unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
// First decode the alpha data
if (basis_file_has_alpha_slices)
{
//status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cBC4, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
}
else
{
basisu_transcoder::write_opaque_alpha_blocks(num_blocks_x, num_blocks_y, pOutput_blocks, block_format::cBC4, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
if (status)
{
// Now decode the color data. Forbid 3 color blocks, which aren't allowed in BC3.
//status = transcode_slice(pData, data_size, slice_index, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC1, 16, decode_flags | cDecodeFlagsBC1ForbidThreeColorBlocks, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice((uint8_t *)pOutput_blocks + 8, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cBC1, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to BC3 RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to BC3 A failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFBC5_RG:
{
#if !BASISD_SUPPORT_DXT5A
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: DXT5A unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
//bool transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
// uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, const bool is_video, const bool is_alpha_slice, const uint32_t level_index, const uint32_t orig_width, const uint32_t orig_height, uint32_t output_row_pitch_in_blocks_or_pixels = 0,
// basisu_transcoder_state* pState = nullptr, bool astc_transcode_alpha = false, void* pAlpha_blocks = nullptr, uint32_t output_rows_in_pixels = 0);
// Decode the R data (actually the green channel of the color data slice in the basis file)
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cBC4, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (status)
{
if (basis_file_has_alpha_slices)
{
// Decode the G data (actually the green channel of the alpha data slice in the basis file)
//status = transcode_slice(pData, data_size, slice_index + 1, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice((uint8_t *)pOutput_blocks + 8, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cBC4, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to BC5 1 failed\n");
}
}
else
{
basisu_transcoder::write_opaque_alpha_blocks(num_blocks_x, num_blocks_y, (uint8_t*)pOutput_blocks + 8, block_format::cBC4, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
}
else
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to BC5 channel 0 failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFASTC_4x4_RGBA:
{
#if !BASISD_SUPPORT_ASTC
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: ASTC unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
if (basis_file_has_alpha_slices)
{
// First decode the alpha data to the output (we're using the output texture as a temp buffer here).
//status = transcode_slice(pData, data_size, slice_index + 1, (uint8_t*)pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cIndices, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cIndices, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (status)
{
// Now decode the color data and transcode to ASTC. The transcoder function will read the alpha selector data from the output texture as it converts and
// transcode both the alpha and color data at the same time to ASTC.
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cASTC_4x4, 16, decode_flags | cDecodeFlagsOutputHasAlphaIndices, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cASTC_4x4, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, true, nullptr, output_rows_in_pixels);
}
}
else
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cASTC_4x4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cASTC_4x4, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ASTC failed (0)\n");
}
break;
#endif
}
case transcoder_texture_format::cTFATC_RGB:
{
#if !BASISD_SUPPORT_ATC
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: ATC unsupported\n");
return false;
#else
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cATC_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cATC_RGB, bytes_per_block_or_pixel, false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ATC_RGB failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFATC_RGBA:
{
#if !BASISD_SUPPORT_ATC
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: ATC unsupported\n");
return false;
#elif !BASISD_SUPPORT_DXT5A
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: DXT5A unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
// First decode the alpha data
if (basis_file_has_alpha_slices)
{
//status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cBC4, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
}
else
{
basisu_transcoder::write_opaque_alpha_blocks(num_blocks_x, num_blocks_y, pOutput_blocks, block_format::cBC4, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
if (status)
{
//status = transcode_slice(pData, data_size, slice_index, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cATC_RGB, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice((uint8_t *)pOutput_blocks + 8, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cATC_RGB, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ATC RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ATC A failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFPVRTC2_4_RGB:
{
#if !BASISD_SUPPORT_PVRTC2
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: PVRTC2 unsupported\n");
return false;
#else
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC2_4_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cPVRTC2_4_RGB, bytes_per_block_or_pixel, false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to cPVRTC2_4_RGB failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
{
#if !BASISD_SUPPORT_PVRTC2
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: PVRTC2 unsupported\n");
return false;
#else
if (basis_file_has_alpha_slices)
{
// First decode the alpha data to the output (we're using the output texture as a temp buffer here).
//status = transcode_slice(pData, data_size, slice_index + 1, (uint8_t*)pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cIndices, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cIndices, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to failed\n");
}
else
{
// Now decode the color data and transcode to PVRTC2 RGBA.
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC2_4_RGBA, bytes_per_block_or_pixel, decode_flags | cDecodeFlagsOutputHasAlphaIndices, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cPVRTC2_4_RGBA, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, true, nullptr, output_rows_in_pixels);
}
}
else
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC2_4_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cPVRTC2_4_RGB, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to cPVRTC2_4_RGBA failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFRGBA32:
{
// Raw 32bpp pixels, decoded in the usual raster order (NOT block order) into an image in memory.
// First decode the alpha data
if (basis_file_has_alpha_slices)
//status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cA32, sizeof(uint32_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cA32, sizeof(uint32_t), false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
else
status = true;
if (status)
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, basis_file_has_alpha_slices ? block_format::cRGB32 : block_format::cRGBA32, sizeof(uint32_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, basis_file_has_alpha_slices ? block_format::cRGB32 : block_format::cRGBA32, sizeof(uint32_t), false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to RGBA32 RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to RGBA32 A failed\n");
}
break;
}
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
{
// Raw 16bpp pixels, decoded in the usual raster order (NOT block order) into an image in memory.
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, (fmt == transcoder_texture_format::cTFRGB565) ? block_format::cRGB565 : block_format::cBGR565, sizeof(uint16_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, (target_format == transcoder_texture_format::cTFRGB565) ? block_format::cRGB565 : block_format::cBGR565, sizeof(uint16_t), false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to RGB565 RGB failed\n");
}
break;
}
case transcoder_texture_format::cTFRGBA4444:
{
// Raw 16bpp pixels, decoded in the usual raster order (NOT block order) into an image in memory.
// First decode the alpha data
if (basis_file_has_alpha_slices)
//status = transcode_slice(pData, data_size, slice_index + 1, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cRGBA4444_ALPHA, sizeof(uint16_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cRGBA4444_ALPHA, sizeof(uint16_t), false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
else
status = true;
if (status)
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, basis_file_has_alpha_slices ? block_format::cRGBA4444_COLOR : block_format::cRGBA4444_COLOR_OPAQUE, sizeof(uint16_t), decode_flags, output_row_pitch_in_blocks_or_pixels, pState, nullptr, output_rows_in_pixels);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, basis_file_has_alpha_slices ? block_format::cRGBA4444_COLOR : block_format::cRGBA4444_COLOR_OPAQUE, sizeof(uint16_t), false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to RGBA4444 RGB failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to RGBA4444 A failed\n");
}
break;
}
case transcoder_texture_format::cTFFXT1_RGB:
{
#if !BASISD_SUPPORT_FXT1
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: FXT1 unsupported\n");
return false;
#else
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cFXT1_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cFXT1_RGB, bytes_per_block_or_pixel, false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to FXT1_RGB failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFETC2_EAC_R11:
{
#if !BASISD_SUPPORT_ETC2_EAC_RG11
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: EAC_RG11 unsupported\n");
return false;
#else
//status = transcode_slice(pData, data_size, slice_index_to_decode, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_R11, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pData, data_len, block_format::cETC2_EAC_R11, bytes_per_block_or_pixel, false, is_video, is_alpha_slice, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ETC2_EAC_R11 failed\n");
}
break;
#endif
}
case transcoder_texture_format::cTFETC2_EAC_RG11:
{
#if !BASISD_SUPPORT_ETC2_EAC_RG11
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: EAC_RG11 unsupported\n");
return false;
#else
assert(bytes_per_block_or_pixel == 16);
if (basis_file_has_alpha_slices)
{
// First decode the alpha data to G
//status = transcode_slice(pData, data_size, slice_index + 1, (uint8_t*)pOutput_blocks + 8, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_R11, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice((uint8_t *)pOutput_blocks + 8, num_blocks_x, num_blocks_y, pCompressed_data + alpha_offset, alpha_length, block_format::cETC2_EAC_R11, bytes_per_block_or_pixel, false, is_video, true, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
}
else
{
basisu_transcoder::write_opaque_alpha_blocks(num_blocks_x, num_blocks_y, (uint8_t*)pOutput_blocks + 8, block_format::cETC2_EAC_R11, 16, output_row_pitch_in_blocks_or_pixels);
status = true;
}
if (status)
{
// Now decode the color data to R
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_R11, 16, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + rgb_offset, rgb_length, block_format::cETC2_EAC_R11, bytes_per_block_or_pixel, false, is_video, false, level_index, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, false, nullptr, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ETC2_EAC_R11 R failed\n");
}
}
else
{
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: transcode_slice() to ETC2_EAC_R11 G failed\n");
}
break;
#endif
}
default:
{
assert(0);
BASISU_DEVEL_ERROR("basisu_lowlevel_etc1s_transcoder::transcode_image: Invalid fmt\n");
break;
}
}
return status;
}
basisu_lowlevel_uastc_transcoder::basisu_lowlevel_uastc_transcoder()
{
}
bool basisu_lowlevel_uastc_transcoder::transcode_slice(void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, const uint8_t* pImage_data, uint32_t image_data_size, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, bool bc1_allow_threecolor_blocks, bool has_alpha, const uint32_t orig_width, const uint32_t orig_height, uint32_t output_row_pitch_in_blocks_or_pixels,
basisu_transcoder_state* pState, uint32_t output_rows_in_pixels, int channel0, int channel1, uint32_t decode_flags)
{
BASISU_NOTE_UNUSED(pState);
BASISU_NOTE_UNUSED(bc1_allow_threecolor_blocks);
assert(g_transcoder_initialized);
if (!g_transcoder_initialized)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_slice: Transcoder not globally initialized.\n");
return false;
}
#if BASISD_SUPPORT_UASTC
const uint32_t total_blocks = num_blocks_x * num_blocks_y;
if (!output_row_pitch_in_blocks_or_pixels)
{
if (basis_block_format_is_uncompressed(fmt))
output_row_pitch_in_blocks_or_pixels = orig_width;
else
{
if (fmt == block_format::cFXT1_RGB)
output_row_pitch_in_blocks_or_pixels = (orig_width + 7) / 8;
else
output_row_pitch_in_blocks_or_pixels = num_blocks_x;
}
}
if (basis_block_format_is_uncompressed(fmt))
{
if (!output_rows_in_pixels)
output_rows_in_pixels = orig_height;
}
uint32_t total_expected_block_bytes = sizeof(uastc_block) * total_blocks;
if (image_data_size < total_expected_block_bytes)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_slice: image_data_size < total_expected_block_bytes The file is corrupted or this is a bug.\n");
return false;
}
const uastc_block* pSource_block = reinterpret_cast<const uastc_block *>(pImage_data);
const bool high_quality = (decode_flags & cDecodeFlagsHighQuality) != 0;
const bool from_alpha = has_alpha && (decode_flags & cDecodeFlagsTranscodeAlphaDataToOpaqueFormats) != 0;
bool status = false;
if ((fmt == block_format::cPVRTC1_4_RGB) || (fmt == block_format::cPVRTC1_4_RGBA))
{
if (fmt == block_format::cPVRTC1_4_RGBA)
transcode_uastc_to_pvrtc1_4_rgba((const uastc_block*)pImage_data, pDst_blocks, num_blocks_x, num_blocks_y, high_quality);
else
transcode_uastc_to_pvrtc1_4_rgb((const uastc_block *)pImage_data, pDst_blocks, num_blocks_x, num_blocks_y, high_quality, from_alpha);
}
else
{
for (uint32_t block_y = 0; block_y < num_blocks_y; ++block_y)
{
void* pDst_block = (uint8_t*)pDst_blocks + block_y * output_row_pitch_in_blocks_or_pixels * output_block_or_pixel_stride_in_bytes;
for (uint32_t block_x = 0; block_x < num_blocks_x; ++block_x, ++pSource_block, pDst_block = (uint8_t *)pDst_block + output_block_or_pixel_stride_in_bytes)
{
switch (fmt)
{
case block_format::cUASTC_4x4:
{
memcpy(pDst_block, pSource_block, sizeof(uastc_block));
status = true;
break;
}
case block_format::cETC1:
{
if (from_alpha)
status = transcode_uastc_to_etc1(*pSource_block, pDst_block, 3);
else
status = transcode_uastc_to_etc1(*pSource_block, pDst_block);
break;
}
case block_format::cETC2_RGBA:
{
status = transcode_uastc_to_etc2_rgba(*pSource_block, pDst_block);
break;
}
case block_format::cBC1:
{
status = transcode_uastc_to_bc1(*pSource_block, pDst_block, high_quality);
break;
}
case block_format::cBC3:
{
status = transcode_uastc_to_bc3(*pSource_block, pDst_block, high_quality);
break;
}
case block_format::cBC4:
{
if (channel0 < 0)
channel0 = 0;
status = transcode_uastc_to_bc4(*pSource_block, pDst_block, high_quality, channel0);
break;
}
case block_format::cBC5:
{
if (channel0 < 0)
channel0 = 0;
if (channel1 < 0)
channel1 = 3;
status = transcode_uastc_to_bc5(*pSource_block, pDst_block, high_quality, channel0, channel1);
break;
}
case block_format::cBC7:
case block_format::cBC7_M5_COLOR: // for consistently with ETC1S
{
status = transcode_uastc_to_bc7(*pSource_block, pDst_block);
break;
}
case block_format::cASTC_4x4:
{
status = transcode_uastc_to_astc(*pSource_block, pDst_block);
break;
}
case block_format::cETC2_EAC_R11:
{
if (channel0 < 0)
channel0 = 0;
status = transcode_uastc_to_etc2_eac_r11(*pSource_block, pDst_block, high_quality, channel0);
break;
}
case block_format::cETC2_EAC_RG11:
{
if (channel0 < 0)
channel0 = 0;
if (channel1 < 0)
channel1 = 3;
status = transcode_uastc_to_etc2_eac_rg11(*pSource_block, pDst_block, high_quality, channel0, channel1);
break;
}
case block_format::cRGBA32:
{
color32 block_pixels[4][4];
status = unpack_uastc(*pSource_block, (color32 *)block_pixels, false);
assert(sizeof(uint32_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint32_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
for (uint32_t y = 0; y < max_y; y++)
{
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = block_pixels[y][x];
pDst_pixels[0 + 4 * x] = c.r;
pDst_pixels[1 + 4 * x] = c.g;
pDst_pixels[2 + 4 * x] = c.b;
pDst_pixels[3 + 4 * x] = c.a;
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint32_t);
}
break;
}
case block_format::cRGB565:
case block_format::cBGR565:
{
color32 block_pixels[4][4];
status = unpack_uastc(*pSource_block, (color32*)block_pixels, false);
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
for (uint32_t y = 0; y < max_y; y++)
{
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = block_pixels[y][x];
const uint16_t packed = (fmt == block_format::cRGB565) ? static_cast<uint16_t>((mul_8(c.r, 31) << 11) | (mul_8(c.g, 63) << 5) | mul_8(c.b, 31)) :
static_cast<uint16_t>((mul_8(c.b, 31) << 11) | (mul_8(c.g, 63) << 5) | mul_8(c.r, 31));
pDst_pixels[x * 2 + 0] = (uint8_t)(packed & 0xFF);
pDst_pixels[x * 2 + 1] = (uint8_t)((packed >> 8) & 0xFF);
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
case block_format::cRGBA4444:
{
color32 block_pixels[4][4];
status = unpack_uastc(*pSource_block, (color32*)block_pixels, false);
assert(sizeof(uint16_t) == output_block_or_pixel_stride_in_bytes);
uint8_t* pDst_pixels = static_cast<uint8_t*>(pDst_blocks) + (block_x * 4 + block_y * 4 * output_row_pitch_in_blocks_or_pixels) * sizeof(uint16_t);
const uint32_t max_x = basisu::minimum<int>(4, (int)output_row_pitch_in_blocks_or_pixels - (int)block_x * 4);
const uint32_t max_y = basisu::minimum<int>(4, (int)output_rows_in_pixels - (int)block_y * 4);
for (uint32_t y = 0; y < max_y; y++)
{
for (uint32_t x = 0; x < max_x; x++)
{
const color32& c = block_pixels[y][x];
const uint16_t packed = static_cast<uint16_t>((mul_8(c.r, 15) << 12) | (mul_8(c.g, 15) << 8) | (mul_8(c.b, 15) << 4) | mul_8(c.a, 15));
pDst_pixels[x * 2 + 0] = (uint8_t)(packed & 0xFF);
pDst_pixels[x * 2 + 1] = (uint8_t)((packed >> 8) & 0xFF);
}
pDst_pixels += output_row_pitch_in_blocks_or_pixels * sizeof(uint16_t);
}
break;
}
default:
assert(0);
break;
}
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_slice: Transcoder failed to unpack a UASTC block - this is a bug, or the data was corrupted\n");
return false;
}
} // block_x
} // block_y
}
return true;
#else
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_slice: UASTC is unsupported\n");
BASISU_NOTE_UNUSED(decode_flags);
BASISU_NOTE_UNUSED(channel0);
BASISU_NOTE_UNUSED(channel1);
BASISU_NOTE_UNUSED(output_rows_in_pixels);
BASISU_NOTE_UNUSED(output_row_pitch_in_blocks_or_pixels);
BASISU_NOTE_UNUSED(output_block_or_pixel_stride_in_bytes);
BASISU_NOTE_UNUSED(fmt);
BASISU_NOTE_UNUSED(image_data_size);
BASISU_NOTE_UNUSED(pImage_data);
BASISU_NOTE_UNUSED(num_blocks_x);
BASISU_NOTE_UNUSED(num_blocks_y);
BASISU_NOTE_UNUSED(pDst_blocks);
return false;
#endif
}
bool basisu_lowlevel_uastc_transcoder::transcode_image(
transcoder_texture_format target_format,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
const uint8_t* pCompressed_data, uint32_t compressed_data_length,
uint32_t num_blocks_x, uint32_t num_blocks_y, uint32_t orig_width, uint32_t orig_height, uint32_t level_index,
uint32_t slice_offset, uint32_t slice_length,
uint32_t decode_flags,
bool has_alpha,
bool is_video,
uint32_t output_row_pitch_in_blocks_or_pixels,
basisu_transcoder_state* pState,
uint32_t output_rows_in_pixels,
int channel0, int channel1)
{
BASISU_NOTE_UNUSED(is_video);
BASISU_NOTE_UNUSED(level_index);
if (((uint64_t)slice_offset + slice_length) > (uint64_t)compressed_data_length)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: source data buffer too small\n");
return false;
}
if ((target_format == transcoder_texture_format::cTFPVRTC1_4_RGB) || (target_format == transcoder_texture_format::cTFPVRTC1_4_RGBA))
{
if ((!basisu::is_pow2(num_blocks_x * 4)) || (!basisu::is_pow2(num_blocks_y * 4)))
{
// PVRTC1 only supports power of 2 dimensions
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: PVRTC1 only supports power of 2 dimensions\n");
return false;
}
}
if ((target_format == transcoder_texture_format::cTFPVRTC1_4_RGBA) && (!has_alpha))
{
// Switch to PVRTC1 RGB if the input doesn't have alpha.
target_format = transcoder_texture_format::cTFPVRTC1_4_RGB;
}
const bool transcode_alpha_data_to_opaque_formats = (decode_flags & cDecodeFlagsTranscodeAlphaDataToOpaqueFormats) != 0;
const uint32_t bytes_per_block_or_pixel = basis_get_bytes_per_block_or_pixel(target_format);
const uint32_t total_slice_blocks = num_blocks_x * num_blocks_y;
if (!basis_validate_output_buffer_size(target_format, output_blocks_buf_size_in_blocks_or_pixels, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, output_rows_in_pixels, total_slice_blocks))
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: output buffer size too small\n");
return false;
}
bool status = false;
// UASTC4x4
switch (target_format)
{
case transcoder_texture_format::cTFETC1_RGB:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC1, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cETC1,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels, channel0, channel1);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to ETC1 failed\n");
}
break;
}
case transcoder_texture_format::cTFETC2_RGBA:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_RGBA, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cETC2_RGBA,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels, channel0, channel1);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to ETC2 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC1_RGB:
{
// TODO: ETC1S allows BC1 from alpha channel. That doesn't seem actually useful, though.
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC1, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cBC1,
bytes_per_block_or_pixel, true, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels, channel0, channel1);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to BC1 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC3_RGBA:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC3, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cBC3,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels, channel0, channel1);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to BC3 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC4_R:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC4, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState,
// nullptr, 0,
// ((has_alpha) && (transcode_alpha_data_to_opaque_formats)) ? 3 : 0);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cBC4,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels,
((has_alpha) && (transcode_alpha_data_to_opaque_formats)) ? 3 : 0);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to BC4 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC5_RG:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC5, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState,
// nullptr, 0,
// 0, 3);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cBC5,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels,
0, 3);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to BC5 failed\n");
}
break;
}
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBC7, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cBC7,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to BC7 failed\n");
}
break;
}
case transcoder_texture_format::cTFPVRTC1_4_RGB:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC1_4_RGB, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cPVRTC1_4_RGB,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to PVRTC1 RGB 4bpp failed\n");
}
break;
}
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cPVRTC1_4_RGBA, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cPVRTC1_4_RGBA,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to PVRTC1 RGBA 4bpp failed\n");
}
break;
}
case transcoder_texture_format::cTFASTC_4x4_RGBA:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cASTC_4x4, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cASTC_4x4,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to ASTC 4x4 failed\n");
}
break;
}
case transcoder_texture_format::cTFATC_RGB:
case transcoder_texture_format::cTFATC_RGBA:
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: UASTC->ATC currently unsupported\n");
return false;
}
case transcoder_texture_format::cTFFXT1_RGB:
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: UASTC->FXT1 currently unsupported\n");
return false;
}
case transcoder_texture_format::cTFPVRTC2_4_RGB:
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: UASTC->PVRTC2 currently unsupported\n");
return false;
}
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: UASTC->PVRTC2 currently unsupported\n");
return false;
}
case transcoder_texture_format::cTFETC2_EAC_R11:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_R11, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState,
// nullptr, 0,
// ((has_alpha) && (transcode_alpha_data_to_opaque_formats)) ? 3 : 0);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cETC2_EAC_R11,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels,
((has_alpha) && (transcode_alpha_data_to_opaque_formats)) ? 3 : 0);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to EAC R11 failed\n");
}
break;
}
case transcoder_texture_format::cTFETC2_EAC_RG11:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cETC2_EAC_RG11, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState,
// nullptr, 0,
// 0, 3);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cETC2_EAC_RG11,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels,
0, 3);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_basisu_lowlevel_uastc_transcodertranscoder::transcode_image: transcode_slice() to EAC RG11 failed\n");
}
break;
}
case transcoder_texture_format::cTFRGBA32:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cRGBA32, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cRGBA32,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to RGBA32 failed\n");
}
break;
}
case transcoder_texture_format::cTFRGB565:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cRGB565, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cRGB565,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to RGB565 failed\n");
}
break;
}
case transcoder_texture_format::cTFBGR565:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cBGR565, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cBGR565,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to RGB565 failed\n");
}
break;
}
case transcoder_texture_format::cTFRGBA4444:
{
//status = transcode_slice(pData, data_size, slice_index, pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, block_format::cRGBA4444, bytes_per_block_or_pixel, decode_flags, output_row_pitch_in_blocks_or_pixels, pState);
status = transcode_slice(pOutput_blocks, num_blocks_x, num_blocks_y, pCompressed_data + slice_offset, slice_length, block_format::cRGBA4444,
bytes_per_block_or_pixel, false, has_alpha, orig_width, orig_height, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
if (!status)
{
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: transcode_slice() to RGBA4444 failed\n");
}
break;
}
default:
{
assert(0);
BASISU_DEVEL_ERROR("basisu_lowlevel_uastc_transcoder::transcode_image: Invalid format\n");
break;
}
}
return status;
}
basisu_transcoder::basisu_transcoder() :
m_ready_to_transcode(false)
{
}
bool basisu_transcoder::validate_file_checksums(const void* pData, uint32_t data_size, bool full_validation) const
{
if (!validate_header(pData, data_size))
return false;
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
#if !BASISU_NO_HEADER_OR_DATA_CRC16_CHECKS
if (crc16(&pHeader->m_data_size, sizeof(basis_file_header) - BASISU_OFFSETOF(basis_file_header, m_data_size), 0) != pHeader->m_header_crc16)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header CRC check failed\n");
return false;
}
if (full_validation)
{
if (crc16(reinterpret_cast<const uint8_t*>(pData) + sizeof(basis_file_header), pHeader->m_data_size, 0) != pHeader->m_data_crc16)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: data CRC check failed\n");
return false;
}
}
#endif
return true;
}
bool basisu_transcoder::validate_header_quick(const void* pData, uint32_t data_size) const
{
if (data_size <= sizeof(basis_file_header))
return false;
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
if ((pHeader->m_sig != basis_file_header::cBASISSigValue) || (pHeader->m_ver != BASISD_SUPPORTED_BASIS_VERSION) || (pHeader->m_header_size != sizeof(basis_file_header)))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header has an invalid signature, or file version is unsupported\n");
return false;
}
uint32_t expected_file_size = sizeof(basis_file_header) + pHeader->m_data_size;
if (data_size < expected_file_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: source buffer is too small\n");
return false;
}
if ((!pHeader->m_total_slices) || (!pHeader->m_total_images))
{
BASISU_DEVEL_ERROR("basisu_transcoder::validate_header_quick: header is invalid\n");
return false;
}
if ((pHeader->m_slice_desc_file_ofs >= data_size) ||
((data_size - pHeader->m_slice_desc_file_ofs) < (sizeof(basis_slice_desc) * pHeader->m_total_slices))
)
{
BASISU_DEVEL_ERROR("basisu_transcoder::validate_header_quick: passed in buffer is too small or data is corrupted\n");
return false;
}
return true;
}
bool basisu_transcoder::validate_header(const void* pData, uint32_t data_size) const
{
if (data_size <= sizeof(basis_file_header))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: input source buffer is too small\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
if ((pHeader->m_sig != basis_file_header::cBASISSigValue) || (pHeader->m_ver != BASISD_SUPPORTED_BASIS_VERSION) || (pHeader->m_header_size != sizeof(basis_file_header)))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header has an invalid signature, or file version is unsupported\n");
return false;
}
uint32_t expected_file_size = sizeof(basis_file_header) + pHeader->m_data_size;
if (data_size < expected_file_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: input source buffer is too small, or header is corrupted\n");
return false;
}
if ((!pHeader->m_total_images) || (!pHeader->m_total_slices))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: invalid basis file (total images or slices are 0)\n");
return false;
}
if (pHeader->m_total_images > pHeader->m_total_slices)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: invalid basis file (too many images)\n");
return false;
}
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
{
if (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices)
{
if (pHeader->m_total_slices & 1)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: invalid alpha .basis file\n");
return false;
}
}
// This flag dates back to pre-Basis Universal, when .basis supported full ETC1 too.
if ((pHeader->m_flags & cBASISHeaderFlagETC1S) == 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: Invalid .basis file (ETC1S check)\n");
return false;
}
}
else
{
if ((pHeader->m_flags & cBASISHeaderFlagETC1S) != 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: Invalid .basis file (ETC1S check)\n");
return false;
}
}
if ((pHeader->m_slice_desc_file_ofs >= data_size) ||
((data_size - pHeader->m_slice_desc_file_ofs) < (sizeof(basis_slice_desc) * pHeader->m_total_slices))
)
{
BASISU_DEVEL_ERROR("basisu_transcoder::validate_header_quick: passed in buffer is too small or data is corrupted\n");
return false;
}
return true;
}
basis_texture_type basisu_transcoder::get_texture_type(const void* pData, uint32_t data_size) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_texture_type: header validation failed\n");
return cBASISTexType2DArray;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
basis_texture_type btt = static_cast<basis_texture_type>(static_cast<uint8_t>(pHeader->m_tex_type));
if (btt >= cBASISTexTypeTotal)
{
BASISU_DEVEL_ERROR("basisu_transcoder::validate_header_quick: header's texture type field is invalid\n");
return cBASISTexType2DArray;
}
return btt;
}
bool basisu_transcoder::get_userdata(const void* pData, uint32_t data_size, uint32_t& userdata0, uint32_t& userdata1) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_userdata: header validation failed\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
userdata0 = pHeader->m_userdata0;
userdata1 = pHeader->m_userdata1;
return true;
}
uint32_t basisu_transcoder::get_total_images(const void* pData, uint32_t data_size) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header validation failed\n");
return 0;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
return pHeader->m_total_images;
}
basis_tex_format basisu_transcoder::get_tex_format(const void* pData, uint32_t data_size) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_images: header validation failed\n");
return basis_tex_format::cETC1S;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
return (basis_tex_format)(uint32_t)pHeader->m_tex_format;
}
bool basisu_transcoder::get_image_info(const void* pData, uint32_t data_size, basisu_image_info& image_info, uint32_t image_index) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_info: header validation failed\n");
return false;
}
int slice_index = find_first_slice_index(pData, data_size, image_index, 0);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_info: invalid slice index\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
if (image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_info: invalid image_index\n");
return false;
}
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
uint32_t total_levels = 1;
for (uint32_t i = slice_index + 1; i < pHeader->m_total_slices; i++)
if (pSlice_descs[i].m_image_index == image_index)
total_levels = basisu::maximum<uint32_t>(total_levels, pSlice_descs[i].m_level_index + 1);
else
break;
if (total_levels > 16)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_info: invalid image_index\n");
return false;
}
const basis_slice_desc& slice_desc = pSlice_descs[slice_index];
image_info.m_image_index = image_index;
image_info.m_total_levels = total_levels;
image_info.m_alpha_flag = false;
// For ETC1S, if anything has alpha all images have alpha. For UASTC, we only report alpha when the image actually has alpha.
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
image_info.m_alpha_flag = (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices) != 0;
else
image_info.m_alpha_flag = (slice_desc.m_flags & cSliceDescFlagsHasAlpha) != 0;
image_info.m_iframe_flag = (slice_desc.m_flags & cSliceDescFlagsFrameIsIFrame) != 0;
image_info.m_width = slice_desc.m_num_blocks_x * 4;
image_info.m_height = slice_desc.m_num_blocks_y * 4;
image_info.m_orig_width = slice_desc.m_orig_width;
image_info.m_orig_height = slice_desc.m_orig_height;
image_info.m_num_blocks_x = slice_desc.m_num_blocks_x;
image_info.m_num_blocks_y = slice_desc.m_num_blocks_y;
image_info.m_total_blocks = image_info.m_num_blocks_x * image_info.m_num_blocks_y;
image_info.m_first_slice_index = slice_index;
return true;
}
uint32_t basisu_transcoder::get_total_image_levels(const void* pData, uint32_t data_size, uint32_t image_index) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_image_levels: header validation failed\n");
return false;
}
int slice_index = find_first_slice_index(pData, data_size, image_index, 0);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_image_levels: failed finding slice\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
if (image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_image_levels: invalid image_index\n");
return false;
}
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
uint32_t total_levels = 1;
for (uint32_t i = slice_index + 1; i < pHeader->m_total_slices; i++)
if (pSlice_descs[i].m_image_index == image_index)
total_levels = basisu::maximum<uint32_t>(total_levels, pSlice_descs[i].m_level_index + 1);
else
break;
const uint32_t cMaxSupportedLevels = 16;
if (total_levels > cMaxSupportedLevels)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_total_image_levels: invalid image levels!\n");
return false;
}
return total_levels;
}
bool basisu_transcoder::get_image_level_desc(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index, uint32_t& orig_width, uint32_t& orig_height, uint32_t& total_blocks) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_desc: header validation failed\n");
return false;
}
int slice_index = find_first_slice_index(pData, data_size, image_index, level_index);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_desc: failed finding slice\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
if (image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_desc: invalid image_index\n");
return false;
}
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
const basis_slice_desc& slice_desc = pSlice_descs[slice_index];
orig_width = slice_desc.m_orig_width;
orig_height = slice_desc.m_orig_height;
total_blocks = slice_desc.m_num_blocks_x * slice_desc.m_num_blocks_y;
return true;
}
bool basisu_transcoder::get_image_level_info(const void* pData, uint32_t data_size, basisu_image_level_info& image_info, uint32_t image_index, uint32_t level_index) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_info: validate_file_checksums failed\n");
return false;
}
int slice_index = find_first_slice_index(pData, data_size, image_index, level_index);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_info: failed finding slice\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
if (image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_image_level_info: invalid image_index\n");
return false;
}
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
const basis_slice_desc& slice_desc = pSlice_descs[slice_index];
image_info.m_image_index = image_index;
image_info.m_level_index = level_index;
// For ETC1S, if anything has alpha all images have alpha. For UASTC, we only report alpha when the image actually has alpha.
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
image_info.m_alpha_flag = (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices) != 0;
else
image_info.m_alpha_flag = (slice_desc.m_flags & cSliceDescFlagsHasAlpha) != 0;
image_info.m_iframe_flag = (slice_desc.m_flags & cSliceDescFlagsFrameIsIFrame) != 0;
image_info.m_width = slice_desc.m_num_blocks_x * 4;
image_info.m_height = slice_desc.m_num_blocks_y * 4;
image_info.m_orig_width = slice_desc.m_orig_width;
image_info.m_orig_height = slice_desc.m_orig_height;
image_info.m_num_blocks_x = slice_desc.m_num_blocks_x;
image_info.m_num_blocks_y = slice_desc.m_num_blocks_y;
image_info.m_total_blocks = image_info.m_num_blocks_x * image_info.m_num_blocks_y;
image_info.m_first_slice_index = slice_index;
image_info.m_rgb_file_ofs = slice_desc.m_file_ofs;
image_info.m_rgb_file_len = slice_desc.m_file_size;
image_info.m_alpha_file_ofs = 0;
image_info.m_alpha_file_len = 0;
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
{
if (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices)
{
assert((slice_index + 1) < (int)pHeader->m_total_slices);
image_info.m_alpha_file_ofs = pSlice_descs[slice_index + 1].m_file_ofs;
image_info.m_alpha_file_len = pSlice_descs[slice_index + 1].m_file_size;
}
}
return true;
}
bool basisu_transcoder::get_file_info(const void* pData, uint32_t data_size, basisu_file_info& file_info) const
{
if (!validate_file_checksums(pData, data_size, false))
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_file_info: validate_file_checksums failed\n");
return false;
}
const basis_file_header* pHeader = static_cast<const basis_file_header*>(pData);
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(static_cast<const uint8_t*>(pData) + pHeader->m_slice_desc_file_ofs);
file_info.m_version = pHeader->m_ver;
file_info.m_total_header_size = sizeof(basis_file_header) + pHeader->m_total_slices * sizeof(basis_slice_desc);
file_info.m_total_selectors = pHeader->m_total_selectors;
file_info.m_selector_codebook_ofs = pHeader->m_selector_cb_file_ofs;
file_info.m_selector_codebook_size = pHeader->m_selector_cb_file_size;
file_info.m_total_endpoints = pHeader->m_total_endpoints;
file_info.m_endpoint_codebook_ofs = pHeader->m_endpoint_cb_file_ofs;
file_info.m_endpoint_codebook_size = pHeader->m_endpoint_cb_file_size;
file_info.m_tables_ofs = pHeader->m_tables_file_ofs;
file_info.m_tables_size = pHeader->m_tables_file_size;
file_info.m_tex_format = static_cast<basis_tex_format>(static_cast<int>(pHeader->m_tex_format));
file_info.m_etc1s = (pHeader->m_tex_format == (int)basis_tex_format::cETC1S);
file_info.m_y_flipped = (pHeader->m_flags & cBASISHeaderFlagYFlipped) != 0;
file_info.m_has_alpha_slices = (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices) != 0;
const uint32_t total_slices = pHeader->m_total_slices;
file_info.m_slice_info.resize(total_slices);
file_info.m_slices_size = 0;
file_info.m_tex_type = static_cast<basis_texture_type>(static_cast<uint8_t>(pHeader->m_tex_type));
if (file_info.m_tex_type > cBASISTexTypeTotal)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_file_info: invalid texture type, file is corrupted\n");
return false;
}
file_info.m_us_per_frame = pHeader->m_us_per_frame;
file_info.m_userdata0 = pHeader->m_userdata0;
file_info.m_userdata1 = pHeader->m_userdata1;
file_info.m_image_mipmap_levels.resize(0);
file_info.m_image_mipmap_levels.resize(pHeader->m_total_images);
file_info.m_total_images = pHeader->m_total_images;
for (uint32_t i = 0; i < total_slices; i++)
{
file_info.m_slices_size += pSlice_descs[i].m_file_size;
basisu_slice_info& slice_info = file_info.m_slice_info[i];
slice_info.m_orig_width = pSlice_descs[i].m_orig_width;
slice_info.m_orig_height = pSlice_descs[i].m_orig_height;
slice_info.m_width = pSlice_descs[i].m_num_blocks_x * 4;
slice_info.m_height = pSlice_descs[i].m_num_blocks_y * 4;
slice_info.m_num_blocks_x = pSlice_descs[i].m_num_blocks_x;
slice_info.m_num_blocks_y = pSlice_descs[i].m_num_blocks_y;
slice_info.m_total_blocks = slice_info.m_num_blocks_x * slice_info.m_num_blocks_y;
slice_info.m_compressed_size = pSlice_descs[i].m_file_size;
slice_info.m_slice_index = i;
slice_info.m_image_index = pSlice_descs[i].m_image_index;
slice_info.m_level_index = pSlice_descs[i].m_level_index;
slice_info.m_unpacked_slice_crc16 = pSlice_descs[i].m_slice_data_crc16;
slice_info.m_alpha_flag = (pSlice_descs[i].m_flags & cSliceDescFlagsHasAlpha) != 0;
slice_info.m_iframe_flag = (pSlice_descs[i].m_flags & cSliceDescFlagsFrameIsIFrame) != 0;
if (pSlice_descs[i].m_image_index >= pHeader->m_total_images)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_file_info: slice desc's image index is invalid\n");
return false;
}
file_info.m_image_mipmap_levels[pSlice_descs[i].m_image_index] = basisu::maximum<uint32_t>(file_info.m_image_mipmap_levels[pSlice_descs[i].m_image_index], pSlice_descs[i].m_level_index + 1);
if (file_info.m_image_mipmap_levels[pSlice_descs[i].m_image_index] > 16)
{
BASISU_DEVEL_ERROR("basisu_transcoder::get_file_info: slice mipmap level is invalid\n");
return false;
}
}
return true;
}
bool basisu_transcoder::start_transcoding(const void* pData, uint32_t data_size)
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: header validation failed\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
{
if (m_lowlevel_etc1s_decoder.m_local_endpoints.size())
{
m_lowlevel_etc1s_decoder.clear();
}
if (pHeader->m_flags & cBASISHeaderFlagUsesGlobalCodebook)
{
if (!m_lowlevel_etc1s_decoder.get_global_codebooks())
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: File uses global codebooks, but set_global_codebooks() has not been called\n");
return false;
}
if (!m_lowlevel_etc1s_decoder.get_global_codebooks()->get_endpoints().size())
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: Global codebooks must be unpacked first by calling start_transcoding()\n");
return false;
}
if ((m_lowlevel_etc1s_decoder.get_global_codebooks()->get_endpoints().size() != pHeader->m_total_endpoints) ||
(m_lowlevel_etc1s_decoder.get_global_codebooks()->get_selectors().size() != pHeader->m_total_selectors))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: Global codebook size mismatch (wrong codebooks for file).\n");
return false;
}
if (!pHeader->m_tables_file_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted (2)\n");
return false;
}
if (pHeader->m_tables_file_ofs > data_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (4)\n");
return false;
}
if (pHeader->m_tables_file_size > (data_size - pHeader->m_tables_file_ofs))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (5)\n");
return false;
}
}
else
{
if (!pHeader->m_endpoint_cb_file_size || !pHeader->m_selector_cb_file_size || !pHeader->m_tables_file_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted (0)\n");
return false;
}
if ((pHeader->m_endpoint_cb_file_ofs > data_size) || (pHeader->m_selector_cb_file_ofs > data_size) || (pHeader->m_tables_file_ofs > data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (1)\n");
return false;
}
if (pHeader->m_endpoint_cb_file_size > (data_size - pHeader->m_endpoint_cb_file_ofs))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (2)\n");
return false;
}
if (pHeader->m_selector_cb_file_size > (data_size - pHeader->m_selector_cb_file_ofs))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (3)\n");
return false;
}
if (pHeader->m_tables_file_size > (data_size - pHeader->m_tables_file_ofs))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: file is corrupted or passed in buffer too small (3)\n");
return false;
}
if (!m_lowlevel_etc1s_decoder.decode_palettes(
pHeader->m_total_endpoints, pDataU8 + pHeader->m_endpoint_cb_file_ofs, pHeader->m_endpoint_cb_file_size,
pHeader->m_total_selectors, pDataU8 + pHeader->m_selector_cb_file_ofs, pHeader->m_selector_cb_file_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: decode_palettes failed\n");
return false;
}
}
if (!m_lowlevel_etc1s_decoder.decode_tables(pDataU8 + pHeader->m_tables_file_ofs, pHeader->m_tables_file_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::start_transcoding: decode_tables failed\n");
return false;
}
}
else
{
// Nothing special to do for UASTC.
if (m_lowlevel_etc1s_decoder.m_local_endpoints.size())
{
m_lowlevel_etc1s_decoder.clear();
}
}
m_ready_to_transcode = true;
return true;
}
bool basisu_transcoder::stop_transcoding()
{
m_lowlevel_etc1s_decoder.clear();
m_ready_to_transcode = false;
return true;
}
bool basisu_transcoder::transcode_slice(const void* pData, uint32_t data_size, uint32_t slice_index, void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels, block_format fmt,
uint32_t output_block_or_pixel_stride_in_bytes, uint32_t decode_flags, uint32_t output_row_pitch_in_blocks_or_pixels, basisu_transcoder_state* pState, void *pAlpha_blocks, uint32_t output_rows_in_pixels, int channel0, int channel1) const
{
if (!m_ready_to_transcode)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: must call start_transcoding first\n");
return false;
}
if (decode_flags & cDecodeFlagsPVRTCDecodeToNextPow2)
{
// TODO: Not yet supported
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: cDecodeFlagsPVRTCDecodeToNextPow2 currently unsupported\n");
return false;
}
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: header validation failed\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
if (slice_index >= pHeader->m_total_slices)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: slice_index >= pHeader->m_total_slices\n");
return false;
}
const basis_slice_desc& slice_desc = reinterpret_cast<const basis_slice_desc*>(pDataU8 + pHeader->m_slice_desc_file_ofs)[slice_index];
uint32_t total_4x4_blocks = slice_desc.m_num_blocks_x * slice_desc.m_num_blocks_y;
if (basis_block_format_is_uncompressed(fmt))
{
// Assume the output buffer is orig_width by orig_height
if (!output_row_pitch_in_blocks_or_pixels)
output_row_pitch_in_blocks_or_pixels = slice_desc.m_orig_width;
if (!output_rows_in_pixels)
output_rows_in_pixels = slice_desc.m_orig_height;
// Now make sure the output buffer is large enough, or we'll overwrite memory.
if (output_blocks_buf_size_in_blocks_or_pixels < (output_rows_in_pixels * output_row_pitch_in_blocks_or_pixels))
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: output_blocks_buf_size_in_blocks_or_pixels < (output_rows_in_pixels * output_row_pitch_in_blocks_or_pixels)\n");
return false;
}
}
else if (fmt == block_format::cFXT1_RGB)
{
const uint32_t num_blocks_fxt1_x = (slice_desc.m_orig_width + 7) / 8;
const uint32_t num_blocks_fxt1_y = (slice_desc.m_orig_height + 3) / 4;
const uint32_t total_blocks_fxt1 = num_blocks_fxt1_x * num_blocks_fxt1_y;
if (output_blocks_buf_size_in_blocks_or_pixels < total_blocks_fxt1)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: output_blocks_buf_size_in_blocks_or_pixels < total_blocks_fxt1\n");
return false;
}
}
else
{
if (output_blocks_buf_size_in_blocks_or_pixels < total_4x4_blocks)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: output_blocks_buf_size_in_blocks_or_pixels < total_blocks\n");
return false;
}
}
if (fmt != block_format::cETC1)
{
if ((fmt == block_format::cPVRTC1_4_RGB) || (fmt == block_format::cPVRTC1_4_RGBA))
{
if ((!basisu::is_pow2(slice_desc.m_num_blocks_x * 4)) || (!basisu::is_pow2(slice_desc.m_num_blocks_y * 4)))
{
// PVRTC1 only supports power of 2 dimensions
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: PVRTC1 only supports power of 2 dimensions\n");
return false;
}
}
}
if (slice_desc.m_file_ofs > data_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: invalid slice_desc.m_file_ofs, or passed in buffer too small\n");
return false;
}
const uint32_t data_size_left = data_size - slice_desc.m_file_ofs;
if (data_size_left < slice_desc.m_file_size)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_slice: invalid slice_desc.m_file_size, or passed in buffer too small\n");
return false;
}
if (pHeader->m_tex_format == (int)basis_tex_format::cUASTC4x4)
{
return m_lowlevel_uastc_decoder.transcode_slice(pOutput_blocks, slice_desc.m_num_blocks_x, slice_desc.m_num_blocks_y,
pDataU8 + slice_desc.m_file_ofs, slice_desc.m_file_size,
fmt, output_block_or_pixel_stride_in_bytes, (decode_flags & cDecodeFlagsBC1ForbidThreeColorBlocks) == 0, *pHeader, slice_desc, output_row_pitch_in_blocks_or_pixels, pState,
output_rows_in_pixels, channel0, channel1, decode_flags);
}
else
{
return m_lowlevel_etc1s_decoder.transcode_slice(pOutput_blocks, slice_desc.m_num_blocks_x, slice_desc.m_num_blocks_y,
pDataU8 + slice_desc.m_file_ofs, slice_desc.m_file_size,
fmt, output_block_or_pixel_stride_in_bytes, (decode_flags & cDecodeFlagsBC1ForbidThreeColorBlocks) == 0, *pHeader, slice_desc, output_row_pitch_in_blocks_or_pixels, pState,
(decode_flags & cDecodeFlagsOutputHasAlphaIndices) != 0, pAlpha_blocks, output_rows_in_pixels);
}
}
int basisu_transcoder::find_first_slice_index(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index) const
{
BASISU_NOTE_UNUSED(data_size);
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
// For very large basis files this search could be painful
// TODO: Binary search this
for (uint32_t slice_iter = 0; slice_iter < pHeader->m_total_slices; slice_iter++)
{
const basis_slice_desc& slice_desc = reinterpret_cast<const basis_slice_desc*>(pDataU8 + pHeader->m_slice_desc_file_ofs)[slice_iter];
if ((slice_desc.m_image_index == image_index) && (slice_desc.m_level_index == level_index))
return slice_iter;
}
BASISU_DEVEL_ERROR("basisu_transcoder::find_first_slice_index: didn't find slice\n");
return -1;
}
int basisu_transcoder::find_slice(const void* pData, uint32_t data_size, uint32_t image_index, uint32_t level_index, bool alpha_data) const
{
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::find_slice: header validation failed\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(pDataU8 + pHeader->m_slice_desc_file_ofs);
// For very large basis files this search could be painful
// TODO: Binary search this
for (uint32_t slice_iter = 0; slice_iter < pHeader->m_total_slices; slice_iter++)
{
const basis_slice_desc& slice_desc = pSlice_descs[slice_iter];
if ((slice_desc.m_image_index == image_index) && (slice_desc.m_level_index == level_index))
{
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
{
const bool slice_alpha = (slice_desc.m_flags & cSliceDescFlagsHasAlpha) != 0;
if (slice_alpha == alpha_data)
return slice_iter;
}
else
{
return slice_iter;
}
}
}
BASISU_DEVEL_ERROR("basisu_transcoder::find_slice: didn't find slice\n");
return -1;
}
void basisu_transcoder::write_opaque_alpha_blocks(
uint32_t num_blocks_x, uint32_t num_blocks_y,
void* pOutput_blocks, block_format fmt,
uint32_t block_stride_in_bytes, uint32_t output_row_pitch_in_blocks_or_pixels)
{
// 'num_blocks_y', 'pOutput_blocks' & 'block_stride_in_bytes' unused
// when disabling BASISD_SUPPORT_ETC2_EAC_A8 *and* BASISD_SUPPORT_DXT5A
BASISU_NOTE_UNUSED(num_blocks_y);
BASISU_NOTE_UNUSED(pOutput_blocks);
BASISU_NOTE_UNUSED(block_stride_in_bytes);
if (!output_row_pitch_in_blocks_or_pixels)
output_row_pitch_in_blocks_or_pixels = num_blocks_x;
if ((fmt == block_format::cETC2_EAC_A8) || (fmt == block_format::cETC2_EAC_R11))
{
#if BASISD_SUPPORT_ETC2_EAC_A8
eac_block blk;
blk.m_base = 255;
blk.m_multiplier = 1;
blk.m_table = 13;
// Selectors are all 4's
memcpy(&blk.m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
for (uint32_t y = 0; y < num_blocks_y; y++)
{
uint32_t dst_ofs = y * output_row_pitch_in_blocks_or_pixels * block_stride_in_bytes;
for (uint32_t x = 0; x < num_blocks_x; x++)
{
memcpy((uint8_t*)pOutput_blocks + dst_ofs, &blk, sizeof(blk));
dst_ofs += block_stride_in_bytes;
}
}
#endif
}
else if (fmt == block_format::cBC4)
{
#if BASISD_SUPPORT_DXT5A
dxt5a_block blk;
blk.m_endpoints[0] = 255;
blk.m_endpoints[1] = 255;
memset(blk.m_selectors, 0, sizeof(blk.m_selectors));
for (uint32_t y = 0; y < num_blocks_y; y++)
{
uint32_t dst_ofs = y * output_row_pitch_in_blocks_or_pixels * block_stride_in_bytes;
for (uint32_t x = 0; x < num_blocks_x; x++)
{
memcpy((uint8_t*)pOutput_blocks + dst_ofs, &blk, sizeof(blk));
dst_ofs += block_stride_in_bytes;
}
}
#endif
}
}
bool basisu_transcoder::transcode_image_level(
const void* pData, uint32_t data_size,
uint32_t image_index, uint32_t level_index,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
transcoder_texture_format fmt,
uint32_t decode_flags, uint32_t output_row_pitch_in_blocks_or_pixels, basisu_transcoder_state *pState, uint32_t output_rows_in_pixels) const
{
const uint32_t bytes_per_block_or_pixel = basis_get_bytes_per_block_or_pixel(fmt);
if (!m_ready_to_transcode)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: must call start_transcoding() first\n");
return false;
}
//const bool transcode_alpha_data_to_opaque_formats = (decode_flags & cDecodeFlagsTranscodeAlphaDataToOpaqueFormats) != 0;
if (decode_flags & cDecodeFlagsPVRTCDecodeToNextPow2)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: cDecodeFlagsPVRTCDecodeToNextPow2 currently unsupported\n");
// TODO: Not yet supported
return false;
}
if (!validate_header_quick(pData, data_size))
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: header validation failed\n");
return false;
}
const basis_file_header* pHeader = reinterpret_cast<const basis_file_header*>(pData);
const uint8_t* pDataU8 = static_cast<const uint8_t*>(pData);
const basis_slice_desc* pSlice_descs = reinterpret_cast<const basis_slice_desc*>(pDataU8 + pHeader->m_slice_desc_file_ofs);
const bool basis_file_has_alpha_slices = (pHeader->m_flags & cBASISHeaderFlagHasAlphaSlices) != 0;
int slice_index = find_first_slice_index(pData, data_size, image_index, level_index);
if (slice_index < 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: failed finding slice index\n");
// Unable to find the requested image/level
return false;
}
if ((fmt == transcoder_texture_format::cTFPVRTC1_4_RGBA) && (!basis_file_has_alpha_slices))
{
// Switch to PVRTC1 RGB if the input doesn't have alpha.
fmt = transcoder_texture_format::cTFPVRTC1_4_RGB;
}
if (pHeader->m_tex_format == (int)basis_tex_format::cETC1S)
{
if (pSlice_descs[slice_index].m_flags & cSliceDescFlagsHasAlpha)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: alpha basis file has out of order alpha slice\n");
// The first slice shouldn't have alpha data in a properly formed basis file
return false;
}
if (basis_file_has_alpha_slices)
{
// The alpha data should immediately follow the color data, and have the same resolution.
if ((slice_index + 1U) >= pHeader->m_total_slices)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: alpha basis file has missing alpha slice\n");
// basis file is missing the alpha slice
return false;
}
// Basic sanity checks
if ((pSlice_descs[slice_index + 1].m_flags & cSliceDescFlagsHasAlpha) == 0)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: alpha basis file has missing alpha slice (flag check)\n");
// This slice should have alpha data
return false;
}
if ((pSlice_descs[slice_index].m_num_blocks_x != pSlice_descs[slice_index + 1].m_num_blocks_x) || (pSlice_descs[slice_index].m_num_blocks_y != pSlice_descs[slice_index + 1].m_num_blocks_y))
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: alpha basis file slice dimensions bad\n");
// Alpha slice should have been the same res as the color slice
return false;
}
}
}
bool status = false;
const uint32_t total_slice_blocks = pSlice_descs[slice_index].m_num_blocks_x * pSlice_descs[slice_index].m_num_blocks_y;
if (((fmt == transcoder_texture_format::cTFPVRTC1_4_RGB) || (fmt == transcoder_texture_format::cTFPVRTC1_4_RGBA)) && (output_blocks_buf_size_in_blocks_or_pixels > total_slice_blocks))
{
// The transcoder doesn't write beyond total_slice_blocks, so we need to clear the rest ourselves.
// For GL usage, PVRTC1 4bpp image size is (max(width, 8)* max(height, 8) * 4 + 7) / 8.
// However, for KTX and internally in Basis this formula isn't used, it's just ((width+3)/4) * ((height+3)/4) * bytes_per_block_or_pixel. This is all the transcoder actually writes to memory.
memset(static_cast<uint8_t*>(pOutput_blocks) + total_slice_blocks * bytes_per_block_or_pixel, 0, (output_blocks_buf_size_in_blocks_or_pixels - total_slice_blocks) * bytes_per_block_or_pixel);
}
if (pHeader->m_tex_format == (int)basis_tex_format::cUASTC4x4)
{
const basis_slice_desc* pSlice_desc = &pSlice_descs[slice_index];
// Use the container independent image transcode method.
status = m_lowlevel_uastc_decoder.transcode_image(fmt,
pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels,
(const uint8_t*)pData, data_size, pSlice_desc->m_num_blocks_x, pSlice_desc->m_num_blocks_y, pSlice_desc->m_orig_width, pSlice_desc->m_orig_height, pSlice_desc->m_level_index,
pSlice_desc->m_file_ofs, pSlice_desc->m_file_size,
decode_flags, basis_file_has_alpha_slices, pHeader->m_tex_type == cBASISTexTypeVideoFrames, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
}
else
{
// ETC1S
const basis_slice_desc* pSlice_desc = &pSlice_descs[slice_index];
const basis_slice_desc* pAlpha_slice_desc = basis_file_has_alpha_slices ? &pSlice_descs[slice_index + 1] : nullptr;
assert((pSlice_desc->m_flags & cSliceDescFlagsHasAlpha) == 0);
if (pAlpha_slice_desc)
{
// Basic sanity checks
assert((pAlpha_slice_desc->m_flags & cSliceDescFlagsHasAlpha) != 0);
assert(pSlice_desc->m_num_blocks_x == pAlpha_slice_desc->m_num_blocks_x);
assert(pSlice_desc->m_num_blocks_y == pAlpha_slice_desc->m_num_blocks_y);
assert(pSlice_desc->m_level_index == pAlpha_slice_desc->m_level_index);
}
// Use the container independent image transcode method.
status = m_lowlevel_etc1s_decoder.transcode_image(fmt,
pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels,
(const uint8_t *)pData, data_size, pSlice_desc->m_num_blocks_x, pSlice_desc->m_num_blocks_y, pSlice_desc->m_orig_width, pSlice_desc->m_orig_height, pSlice_desc->m_level_index,
pSlice_desc->m_file_ofs, pSlice_desc->m_file_size,
(pAlpha_slice_desc != nullptr) ? (uint32_t)pAlpha_slice_desc->m_file_ofs : 0U, (pAlpha_slice_desc != nullptr) ? (uint32_t)pAlpha_slice_desc->m_file_size : 0U,
decode_flags, basis_file_has_alpha_slices, pHeader->m_tex_type == cBASISTexTypeVideoFrames, output_row_pitch_in_blocks_or_pixels, pState, output_rows_in_pixels);
} // if (pHeader->m_tex_format == (int)basis_tex_format::cUASTC4x4)
if (!status)
{
BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: Returning false\n");
}
else
{
//BASISU_DEVEL_ERROR("basisu_transcoder::transcode_image_level: Returning true\n");
}
return status;
}
uint32_t basis_get_bytes_per_block_or_pixel(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFETC1_RGB:
case transcoder_texture_format::cTFBC1_RGB:
case transcoder_texture_format::cTFBC4_R:
case transcoder_texture_format::cTFPVRTC1_4_RGB:
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
case transcoder_texture_format::cTFATC_RGB:
case transcoder_texture_format::cTFPVRTC2_4_RGB:
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
case transcoder_texture_format::cTFETC2_EAC_R11:
return 8;
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
case transcoder_texture_format::cTFETC2_RGBA:
case transcoder_texture_format::cTFBC3_RGBA:
case transcoder_texture_format::cTFBC5_RG:
case transcoder_texture_format::cTFASTC_4x4_RGBA:
case transcoder_texture_format::cTFATC_RGBA:
case transcoder_texture_format::cTFFXT1_RGB:
case transcoder_texture_format::cTFETC2_EAC_RG11:
return 16;
case transcoder_texture_format::cTFRGBA32:
return sizeof(uint32_t);
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
case transcoder_texture_format::cTFRGBA4444:
return sizeof(uint16_t);
default:
assert(0);
BASISU_DEVEL_ERROR("basis_get_basisu_texture_format: Invalid fmt\n");
break;
}
return 0;
}
const char* basis_get_format_name(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFETC1_RGB: return "ETC1_RGB";
case transcoder_texture_format::cTFBC1_RGB: return "BC1_RGB";
case transcoder_texture_format::cTFBC4_R: return "BC4_R";
case transcoder_texture_format::cTFPVRTC1_4_RGB: return "PVRTC1_4_RGB";
case transcoder_texture_format::cTFPVRTC1_4_RGBA: return "PVRTC1_4_RGBA";
case transcoder_texture_format::cTFBC7_RGBA: return "BC7_RGBA";
case transcoder_texture_format::cTFBC7_ALT: return "BC7_RGBA";
case transcoder_texture_format::cTFETC2_RGBA: return "ETC2_RGBA";
case transcoder_texture_format::cTFBC3_RGBA: return "BC3_RGBA";
case transcoder_texture_format::cTFBC5_RG: return "BC5_RG";
case transcoder_texture_format::cTFASTC_4x4_RGBA: return "ASTC_RGBA";
case transcoder_texture_format::cTFATC_RGB: return "ATC_RGB";
case transcoder_texture_format::cTFATC_RGBA: return "ATC_RGBA";
case transcoder_texture_format::cTFRGBA32: return "RGBA32";
case transcoder_texture_format::cTFRGB565: return "RGB565";
case transcoder_texture_format::cTFBGR565: return "BGR565";
case transcoder_texture_format::cTFRGBA4444: return "RGBA4444";
case transcoder_texture_format::cTFFXT1_RGB: return "FXT1_RGB";
case transcoder_texture_format::cTFPVRTC2_4_RGB: return "PVRTC2_4_RGB";
case transcoder_texture_format::cTFPVRTC2_4_RGBA: return "PVRTC2_4_RGBA";
case transcoder_texture_format::cTFETC2_EAC_R11: return "ETC2_EAC_R11";
case transcoder_texture_format::cTFETC2_EAC_RG11: return "ETC2_EAC_RG11";
default:
assert(0);
BASISU_DEVEL_ERROR("basis_get_basisu_texture_format: Invalid fmt\n");
break;
}
return "";
}
const char* basis_get_block_format_name(block_format fmt)
{
switch (fmt)
{
case block_format::cETC1: return "ETC1";
case block_format::cBC1: return "BC1";
case block_format::cPVRTC1_4_RGB: return "PVRTC1_4_RGB";
case block_format::cPVRTC1_4_RGBA: return "PVRTC1_4_RGBA";
case block_format::cBC7: return "BC7";
case block_format::cETC2_RGBA: return "ETC2_RGBA";
case block_format::cBC3: return "BC3";
case block_format::cASTC_4x4: return "ASTC_4x4";
case block_format::cATC_RGB: return "ATC_RGB";
case block_format::cRGBA32: return "RGBA32";
case block_format::cRGB565: return "RGB565";
case block_format::cBGR565: return "BGR565";
case block_format::cRGBA4444: return "RGBA4444";
case block_format::cUASTC_4x4: return "UASTC_4x4";
case block_format::cFXT1_RGB: return "FXT1_RGB";
case block_format::cPVRTC2_4_RGB: return "PVRTC2_4_RGB";
case block_format::cPVRTC2_4_RGBA: return "PVRTC2_4_RGBA";
case block_format::cETC2_EAC_R11: return "ETC2_EAC_R11";
case block_format::cETC2_EAC_RG11: return "ETC2_EAC_RG11";
default:
assert(0);
BASISU_DEVEL_ERROR("basis_get_basisu_texture_format: Invalid fmt\n");
break;
}
return "";
}
const char* basis_get_texture_type_name(basis_texture_type tex_type)
{
switch (tex_type)
{
case cBASISTexType2D: return "2D";
case cBASISTexType2DArray: return "2D array";
case cBASISTexTypeCubemapArray: return "cubemap array";
case cBASISTexTypeVideoFrames: return "video";
case cBASISTexTypeVolume: return "3D";
default:
assert(0);
BASISU_DEVEL_ERROR("basis_get_texture_type_name: Invalid tex_type\n");
break;
}
return "";
}
bool basis_transcoder_format_has_alpha(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFETC2_RGBA:
case transcoder_texture_format::cTFBC3_RGBA:
case transcoder_texture_format::cTFASTC_4x4_RGBA:
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
case transcoder_texture_format::cTFATC_RGBA:
case transcoder_texture_format::cTFRGBA32:
case transcoder_texture_format::cTFRGBA4444:
return true;
default:
break;
}
return false;
}
basisu::texture_format basis_get_basisu_texture_format(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFETC1_RGB: return basisu::texture_format::cETC1;
case transcoder_texture_format::cTFBC1_RGB: return basisu::texture_format::cBC1;
case transcoder_texture_format::cTFBC4_R: return basisu::texture_format::cBC4;
case transcoder_texture_format::cTFPVRTC1_4_RGB: return basisu::texture_format::cPVRTC1_4_RGB;
case transcoder_texture_format::cTFPVRTC1_4_RGBA: return basisu::texture_format::cPVRTC1_4_RGBA;
case transcoder_texture_format::cTFBC7_RGBA: return basisu::texture_format::cBC7;
case transcoder_texture_format::cTFBC7_ALT: return basisu::texture_format::cBC7;
case transcoder_texture_format::cTFETC2_RGBA: return basisu::texture_format::cETC2_RGBA;
case transcoder_texture_format::cTFBC3_RGBA: return basisu::texture_format::cBC3;
case transcoder_texture_format::cTFBC5_RG: return basisu::texture_format::cBC5;
case transcoder_texture_format::cTFASTC_4x4_RGBA: return basisu::texture_format::cASTC4x4;
case transcoder_texture_format::cTFATC_RGB: return basisu::texture_format::cATC_RGB;
case transcoder_texture_format::cTFATC_RGBA: return basisu::texture_format::cATC_RGBA_INTERPOLATED_ALPHA;
case transcoder_texture_format::cTFRGBA32: return basisu::texture_format::cRGBA32;
case transcoder_texture_format::cTFRGB565: return basisu::texture_format::cRGB565;
case transcoder_texture_format::cTFBGR565: return basisu::texture_format::cBGR565;
case transcoder_texture_format::cTFRGBA4444: return basisu::texture_format::cRGBA4444;
case transcoder_texture_format::cTFFXT1_RGB: return basisu::texture_format::cFXT1_RGB;
case transcoder_texture_format::cTFPVRTC2_4_RGB: return basisu::texture_format::cPVRTC2_4_RGBA;
case transcoder_texture_format::cTFPVRTC2_4_RGBA: return basisu::texture_format::cPVRTC2_4_RGBA;
case transcoder_texture_format::cTFETC2_EAC_R11: return basisu::texture_format::cETC2_R11_EAC;
case transcoder_texture_format::cTFETC2_EAC_RG11: return basisu::texture_format::cETC2_RG11_EAC;
default:
assert(0);
BASISU_DEVEL_ERROR("basis_get_basisu_texture_format: Invalid fmt\n");
break;
}
return basisu::texture_format::cInvalidTextureFormat;
}
bool basis_transcoder_format_is_uncompressed(transcoder_texture_format tex_type)
{
switch (tex_type)
{
case transcoder_texture_format::cTFRGBA32:
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
case transcoder_texture_format::cTFRGBA4444:
return true;
default:
break;
}
return false;
}
bool basis_block_format_is_uncompressed(block_format blk_fmt)
{
switch (blk_fmt)
{
case block_format::cRGB32:
case block_format::cRGBA32:
case block_format::cA32:
case block_format::cRGB565:
case block_format::cBGR565:
case block_format::cRGBA4444:
case block_format::cRGBA4444_COLOR:
case block_format::cRGBA4444_ALPHA:
case block_format::cRGBA4444_COLOR_OPAQUE:
return true;
default:
break;
}
return false;
}
uint32_t basis_get_uncompressed_bytes_per_pixel(transcoder_texture_format fmt)
{
switch (fmt)
{
case transcoder_texture_format::cTFRGBA32:
return sizeof(uint32_t);
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
case transcoder_texture_format::cTFRGBA4444:
return sizeof(uint16_t);
default:
break;
}
return 0;
}
uint32_t basis_get_block_width(transcoder_texture_format tex_type)
{
switch (tex_type)
{
case transcoder_texture_format::cTFFXT1_RGB:
return 8;
default:
break;
}
return 4;
}
uint32_t basis_get_block_height(transcoder_texture_format tex_type)
{
BASISU_NOTE_UNUSED(tex_type);
return 4;
}
bool basis_is_format_supported(transcoder_texture_format tex_type, basis_tex_format fmt)
{
if (fmt == basis_tex_format::cUASTC4x4)
{
#if BASISD_SUPPORT_UASTC
switch (tex_type)
{
// These niche formats aren't currently supported for UASTC - everything else is.
case transcoder_texture_format::cTFPVRTC2_4_RGB:
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
case transcoder_texture_format::cTFATC_RGB:
case transcoder_texture_format::cTFATC_RGBA:
case transcoder_texture_format::cTFFXT1_RGB:
return false;
default:
return true;
}
#endif
}
else
{
switch (tex_type)
{
// ETC1 and uncompressed are always supported.
case transcoder_texture_format::cTFETC1_RGB:
case transcoder_texture_format::cTFRGBA32:
case transcoder_texture_format::cTFRGB565:
case transcoder_texture_format::cTFBGR565:
case transcoder_texture_format::cTFRGBA4444:
return true;
#if BASISD_SUPPORT_DXT1
case transcoder_texture_format::cTFBC1_RGB:
return true;
#endif
#if BASISD_SUPPORT_DXT5A
case transcoder_texture_format::cTFBC4_R:
case transcoder_texture_format::cTFBC5_RG:
return true;
#endif
#if BASISD_SUPPORT_DXT1 && BASISD_SUPPORT_DXT5A
case transcoder_texture_format::cTFBC3_RGBA:
return true;
#endif
#if BASISD_SUPPORT_PVRTC1
case transcoder_texture_format::cTFPVRTC1_4_RGB:
case transcoder_texture_format::cTFPVRTC1_4_RGBA:
return true;
#endif
#if BASISD_SUPPORT_BC7_MODE5
case transcoder_texture_format::cTFBC7_RGBA:
case transcoder_texture_format::cTFBC7_ALT:
return true;
#endif
#if BASISD_SUPPORT_ETC2_EAC_A8
case transcoder_texture_format::cTFETC2_RGBA:
return true;
#endif
#if BASISD_SUPPORT_ASTC
case transcoder_texture_format::cTFASTC_4x4_RGBA:
return true;
#endif
#if BASISD_SUPPORT_ATC
case transcoder_texture_format::cTFATC_RGB:
case transcoder_texture_format::cTFATC_RGBA:
return true;
#endif
#if BASISD_SUPPORT_FXT1
case transcoder_texture_format::cTFFXT1_RGB:
return true;
#endif
#if BASISD_SUPPORT_PVRTC2
case transcoder_texture_format::cTFPVRTC2_4_RGB:
case transcoder_texture_format::cTFPVRTC2_4_RGBA:
return true;
#endif
#if BASISD_SUPPORT_ETC2_EAC_RG11
case transcoder_texture_format::cTFETC2_EAC_R11:
case transcoder_texture_format::cTFETC2_EAC_RG11:
return true;
#endif
default:
break;
}
}
return false;
}
// ------------------------------------------------------------------------------------------------------
// UASTC
// ------------------------------------------------------------------------------------------------------
#if BASISD_SUPPORT_UASTC
const astc_bc7_common_partition2_desc g_astc_bc7_common_partitions2[TOTAL_ASTC_BC7_COMMON_PARTITIONS2] =
{
{ 0, 28, false }, { 1, 20, false }, { 2, 16, true }, { 3, 29, false },
{ 4, 91, true }, { 5, 9, false }, { 6, 107, true }, { 7, 72, true },
{ 8, 149, false }, { 9, 204, true }, { 10, 50, false }, { 11, 114, true },
{ 12, 496, true }, { 13, 17, true }, { 14, 78, false }, { 15, 39, true },
{ 17, 252, true }, { 18, 828, true }, { 19, 43, false }, { 20, 156, false },
{ 21, 116, false }, { 22, 210, true }, { 23, 476, true }, { 24, 273, false },
{ 25, 684, true }, { 26, 359, false }, { 29, 246, true }, { 32, 195, true },
{ 33, 694, true }, { 52, 524, true }
};
const bc73_astc2_common_partition_desc g_bc7_3_astc2_common_partitions[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS] =
{
{ 10, 36, 4 }, { 11, 48, 4 }, { 0, 61, 3 }, { 2, 137, 4 },
{ 8, 161, 5 }, { 13, 183, 4 }, { 1, 226, 2 }, { 33, 281, 2 },
{ 40, 302, 3 }, { 20, 307, 4 }, { 21, 479, 0 }, { 58, 495, 3 },
{ 3, 593, 0 }, { 32, 594, 2 }, { 59, 605, 1 }, { 34, 799, 3 },
{ 20, 812, 1 }, { 14, 988, 4 }, { 31, 993, 3 }
};
const astc_bc7_common_partition3_desc g_astc_bc7_common_partitions3[TOTAL_ASTC_BC7_COMMON_PARTITIONS3] =
{
{ 4, 260, 0 }, { 8, 74, 5 }, { 9, 32, 5 }, { 10, 156, 2 },
{ 11, 183, 2 }, { 12, 15, 0 }, { 13, 745, 4 }, { 20, 0, 1 },
{ 35, 335, 1 }, { 36, 902, 5 }, { 57, 254, 0 }
};
const uint8_t g_astc_to_bc7_partition_index_perm_tables[6][3] = { { 0, 1, 2 }, { 1, 2, 0 }, { 2, 0, 1 }, { 2, 1, 0 }, { 0, 2, 1 }, { 1, 0, 2 } };
const uint8_t g_bc7_to_astc_partition_index_perm_tables[6][3] = { { 0, 1, 2 }, { 2, 0, 1 }, { 1, 2, 0 }, { 2, 1, 0 }, { 0, 2, 1 }, { 1, 0, 2 } };
uint32_t bc7_convert_partition_index_3_to_2(uint32_t p, uint32_t k)
{
assert(k < 6);
switch (k >> 1)
{
case 0:
if (p <= 1)
p = 0;
else
p = 1;
break;
case 1:
if (p == 0)
p = 0;
else
p = 1;
break;
case 2:
if ((p == 0) || (p == 2))
p = 0;
else
p = 1;
break;
}
if (k & 1)
p = 1 - p;
return p;
}
static const uint8_t g_zero_pattern[16] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 };
const uint8_t g_astc_bc7_patterns2[TOTAL_ASTC_BC7_COMMON_PARTITIONS2][16] =
{
{ 0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1 }, { 0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1 }, { 1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0 }, { 0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,1 },
{ 1,1,1,1,1,1,1,0,1,1,1,0,1,1,0,0 }, { 0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1 }, { 1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0 }, { 1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0 },
{ 0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1 }, { 1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1 }, { 1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0 },
{ 1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0 }, { 1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0 }, { 0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1 }, { 1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0 },
{ 1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1 }, { 1,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1 }, { 0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0 }, { 0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0 },
{ 0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0 }, { 1,1,1,1,1,1,1,1,0,1,1,1,0,0,1,1 }, { 1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0 }, { 0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0 },
{ 1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,1 }, { 0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0 }, { 1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1 }, { 1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0 },
{ 1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0 }, { 1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,0 }
};
const uint8_t g_astc_bc7_patterns3[TOTAL_ASTC_BC7_COMMON_PARTITIONS3][16] =
{
{ 0,0,0,0,0,0,0,0,1,1,2,2,1,1,2,2 }, { 1,1,1,1,1,1,1,1,0,0,0,0,2,2,2,2 }, { 1,1,1,1,0,0,0,0,0,0,0,0,2,2,2,2 }, { 1,1,1,1,2,2,2,2,0,0,0,0,0,0,0,0 },
{ 1,1,2,0,1,1,2,0,1,1,2,0,1,1,2,0 }, { 0,1,1,2,0,1,1,2,0,1,1,2,0,1,1,2 }, { 0,2,1,1,0,2,1,1,0,2,1,1,0,2,1,1 }, { 2,0,0,0,2,0,0,0,2,1,1,1,2,1,1,1 },
{ 2,0,1,2,2,0,1,2,2,0,1,2,2,0,1,2 }, { 1,1,1,1,0,0,0,0,2,2,2,2,1,1,1,1 }, { 0,0,2,2,0,0,1,1,0,0,1,1,0,0,2,2 }
};
const uint8_t g_bc7_3_astc2_patterns2[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS][16] =
{
{ 0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0 }, { 0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0 }, { 1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1 },
{ 1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,1 }, { 0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0 }, { 0,0,0,1,0,0,1,1,1,1,1,1,1,1,1,1 }, { 0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1 },
{ 1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0 }, { 0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,0 }, { 1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0 },
{ 0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0 }, { 0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1 }, { 1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0 }, { 1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0 },
{ 1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0 }, { 0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0 }, { 1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0 }
};
const uint8_t g_astc_bc7_pattern2_anchors[TOTAL_ASTC_BC7_COMMON_PARTITIONS2][3] =
{
{ 0, 2 }, { 0, 3 }, { 1, 0 }, { 0, 3 }, { 7, 0 }, { 0, 2 }, { 3, 0 }, { 7, 0 },
{ 0, 11 }, { 2, 0 }, { 0, 7 }, { 11, 0 }, { 3, 0 }, { 8, 0 }, { 0, 4 }, { 12, 0 },
{ 1, 0 }, { 8, 0 }, { 0, 1 }, { 0, 2 }, { 0, 4 }, { 8, 0 }, { 1, 0 }, { 0, 2 },
{ 4, 0 }, { 0, 1 }, { 4, 0 }, { 1, 0 }, { 4, 0 }, { 1, 0 }
};
const uint8_t g_astc_bc7_pattern3_anchors[TOTAL_ASTC_BC7_COMMON_PARTITIONS3][3] =
{
{ 0, 8, 10 }, { 8, 0, 12 }, { 4, 0, 12 }, { 8, 0, 4 }, { 3, 0, 2 }, { 0, 1, 3 }, { 0, 2, 1 }, { 1, 9, 0 }, { 1, 2, 0 }, { 4, 0, 8 }, { 0, 6, 2 }
};
const uint8_t g_bc7_3_astc2_patterns2_anchors[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS][3] =
{
{ 0, 4 }, { 0, 2 }, { 2, 0 }, { 0, 7 }, { 8, 0 }, { 0, 1 }, { 0, 3 }, { 0, 1 }, { 2, 0 }, { 0, 1 }, { 0, 8 }, { 2, 0 }, { 0, 1 }, { 0, 7 }, { 12, 0 }, { 2, 0 }, { 9, 0 }, { 0, 2 }, { 4, 0 }
};
const uint32_t g_uastc_mode_huff_codes[TOTAL_UASTC_MODES + 1][2] =
{
{ 0x1, 4 },
{ 0x35, 6 },
{ 0x1D, 5 },
{ 0x3, 5 },
{ 0x13, 5 },
{ 0xB, 5 },
{ 0x1B, 5 },
{ 0x7, 5 },
{ 0x17, 5 },
{ 0xF, 5 },
{ 0x2, 3 },
{ 0x0, 2 },
{ 0x6, 3 },
{ 0x1F, 5 },
{ 0xD, 5 },
{ 0x5, 7 },
{ 0x15, 6 },
{ 0x25, 6 },
{ 0x9, 4 },
{ 0x45, 7 } // future expansion
};
// If g_uastc_mode_huff_codes[] changes this table must be updated!
static const uint8_t g_uastc_huff_modes[128] =
{
11,0,10,3,11,15,12,7,11,18,10,5,11,14,12,9,11,0,10,4,11,16,12,8,11,18,10,6,11,2,12,13,11,0,10,3,11,17,12,7,11,18,10,5,11,14,12,9,11,0,10,4,11,1,12,8,11,18,10,6,11,2,12,13,11,0,10,3,11,
19,12,7,11,18,10,5,11,14,12,9,11,0,10,4,11,16,12,8,11,18,10,6,11,2,12,13,11,0,10,3,11,17,12,7,11,18,10,5,11,14,12,9,11,0,10,4,11,1,12,8,11,18,10,6,11,2,12,13
};
const uint8_t g_uastc_mode_weight_bits[TOTAL_UASTC_MODES] = { 4, 2, 3, 2, 2, 3, 2, 2, 0, 2, 4, 2, 3, 1, 2, 4, 2, 2, 5 };
const uint8_t g_uastc_mode_weight_ranges[TOTAL_UASTC_MODES] = { 8, 2, 5, 2, 2, 5, 2, 2, 0, 2, 8, 2, 5, 0, 2, 8, 2, 2, 11 };
const uint8_t g_uastc_mode_endpoint_ranges[TOTAL_UASTC_MODES] = { 19, 20, 8, 7, 12, 20, 18, 12, 0, 8, 13, 13, 19, 20, 20, 20, 20, 20, 11 };
const uint8_t g_uastc_mode_subsets[TOTAL_UASTC_MODES] = { 1, 1, 2, 3, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1 };
const uint8_t g_uastc_mode_planes[TOTAL_UASTC_MODES] = { 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1 };
const uint8_t g_uastc_mode_comps[TOTAL_UASTC_MODES] = { 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 3 };
const uint8_t g_uastc_mode_has_etc1_bias[TOTAL_UASTC_MODES] = { 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1 };
const uint8_t g_uastc_mode_has_bc1_hint0[TOTAL_UASTC_MODES] = { 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 };
const uint8_t g_uastc_mode_has_bc1_hint1[TOTAL_UASTC_MODES] = { 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1 };
const uint8_t g_uastc_mode_cem[TOTAL_UASTC_MODES] = { 8, 8, 8, 8, 8, 8, 8, 8, 0, 12, 12, 12, 12, 12, 12, 4, 4, 4, 8 };
const uint8_t g_uastc_mode_has_alpha[TOTAL_UASTC_MODES] = { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 };
const uint8_t g_uastc_mode_is_la[TOTAL_UASTC_MODES] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 };
const uint8_t g_uastc_mode_total_hint_bits[TOTAL_UASTC_MODES] = { 15, 15, 15, 15, 15, 15, 15, 15, 0, 23, 17, 17, 17, 23, 23, 23, 23, 23, 15 };
// bits, trits, quints
const int g_astc_bise_range_table[TOTAL_ASTC_RANGES][3] =
{
{ 1, 0, 0 }, // 0-1 0
{ 0, 1, 0 }, // 0-2 1
{ 2, 0, 0 }, // 0-3 2
{ 0, 0, 1 }, // 0-4 3
{ 1, 1, 0 }, // 0-5 4
{ 3, 0, 0 }, // 0-7 5
{ 1, 0, 1 }, // 0-9 6
{ 2, 1, 0 }, // 0-11 7
{ 4, 0, 0 }, // 0-15 8
{ 2, 0, 1 }, // 0-19 9
{ 3, 1, 0 }, // 0-23 10
{ 5, 0, 0 }, // 0-31 11
{ 3, 0, 1 }, // 0-39 12
{ 4, 1, 0 }, // 0-47 13
{ 6, 0, 0 }, // 0-63 14
{ 4, 0, 1 }, // 0-79 15
{ 5, 1, 0 }, // 0-95 16
{ 7, 0, 0 }, // 0-127 17
{ 5, 0, 1 }, // 0-159 18
{ 6, 1, 0 }, // 0-191 19
{ 8, 0, 0 }, // 0-255 20
};
int astc_get_levels(int range)
{
assert(range < (int)BC7ENC_TOTAL_ASTC_RANGES);
return (1 + 2 * g_astc_bise_range_table[range][1] + 4 * g_astc_bise_range_table[range][2]) << g_astc_bise_range_table[range][0];
}
// g_astc_unquant[] is the inverse of g_astc_sorted_order_unquant[]
astc_quant_bin g_astc_unquant[BC7ENC_TOTAL_ASTC_RANGES][256]; // [ASTC encoded endpoint index]
// Taken right from the ASTC spec.
static struct
{
const char* m_pB_str;
uint32_t m_c;
} g_astc_endpoint_unquant_params[BC7ENC_TOTAL_ASTC_RANGES] =
{
{ "", 0 },
{ "", 0 },
{ "", 0 },
{ "", 0 },
{ "000000000", 204, }, // 0-5
{ "", 0 },
{ "000000000", 113, }, // 0-9
{ "b000b0bb0", 93 }, // 0-11
{ "", 0 },
{ "b0000bb00", 54 }, // 0-19
{ "cb000cbcb", 44 }, // 0-23
{ "", 0 },
{ "cb0000cbc", 26 }, // 0-39
{ "dcb000dcb", 22 }, // 0-47
{ "", 0 },
{ "dcb0000dc", 13 }, // 0-79
{ "edcb000ed", 11 }, // 0-95
{ "", 0 },
{ "edcb0000e", 6 }, // 0-159
{ "fedcb000f", 5 }, // 0-191
{ "", 0 },
};
bool astc_is_valid_endpoint_range(uint32_t range)
{
if ((g_astc_bise_range_table[range][1] == 0) && (g_astc_bise_range_table[range][2] == 0))
return true;
return g_astc_endpoint_unquant_params[range].m_c != 0;
}
uint32_t unquant_astc_endpoint(uint32_t packed_bits, uint32_t packed_trits, uint32_t packed_quints, uint32_t range)
{
assert(range < BC7ENC_TOTAL_ASTC_RANGES);
const uint32_t bits = g_astc_bise_range_table[range][0];
const uint32_t trits = g_astc_bise_range_table[range][1];
const uint32_t quints = g_astc_bise_range_table[range][2];
uint32_t val = 0;
if ((!trits) && (!quints))
{
assert(!packed_trits && !packed_quints);
int bits_left = 8;
while (bits_left > 0)
{
uint32_t v = packed_bits;
int n = basisu::minimumi(bits_left, bits);
if (n < (int)bits)
v >>= (bits - n);
assert(v < (1U << n));
val |= (v << (bits_left - n));
bits_left -= n;
}
}
else
{
const uint32_t A = (packed_bits & 1) ? 511 : 0;
const uint32_t C = g_astc_endpoint_unquant_params[range].m_c;
const uint32_t D = trits ? packed_trits : packed_quints;
assert(C);
uint32_t B = 0;
for (uint32_t i = 0; i < 9; i++)
{
B <<= 1;
char c = g_astc_endpoint_unquant_params[range].m_pB_str[i];
if (c != '0')
{
c -= 'a';
B |= ((packed_bits >> c) & 1);
}
}
val = D * C + B;
val = val ^ A;
val = (A & 0x80) | (val >> 2);
}
return val;
}
uint32_t unquant_astc_endpoint_val(uint32_t packed_val, uint32_t range)
{
assert(range < BC7ENC_TOTAL_ASTC_RANGES);
assert(packed_val < (uint32_t)astc_get_levels(range));
const uint32_t bits = g_astc_bise_range_table[range][0];
const uint32_t trits = g_astc_bise_range_table[range][1];
const uint32_t quints = g_astc_bise_range_table[range][2];
if ((!trits) && (!quints))
return unquant_astc_endpoint(packed_val, 0, 0, range);
else if (trits)
return unquant_astc_endpoint(packed_val & ((1 << bits) - 1), packed_val >> bits, 0, range);
else
return unquant_astc_endpoint(packed_val & ((1 << bits) - 1), 0, packed_val >> bits, range);
}
// BC7 - Various BC7 tables/helpers
const uint32_t g_bc7_weights1[2] = { 0, 64 };
const uint32_t g_bc7_weights2[4] = { 0, 21, 43, 64 };
const uint32_t g_bc7_weights3[8] = { 0, 9, 18, 27, 37, 46, 55, 64 };
const uint32_t g_bc7_weights4[16] = { 0, 4, 9, 13, 17, 21, 26, 30, 34, 38, 43, 47, 51, 55, 60, 64 };
const uint32_t g_astc_weights4[16] = { 0, 4, 8, 12, 17, 21, 25, 29, 35, 39, 43, 47, 52, 56, 60, 64 };
const uint32_t g_astc_weights5[32] = { 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64 };
const uint32_t g_astc_weights_3levels[3] = { 0, 32, 64 };
const uint8_t g_bc7_partition1[16] = { 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 };
const uint8_t g_bc7_partition2[64 * 16] =
{
0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1, 0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1, 0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1, 0,0,0,1,0,0,1,1,0,0,1,1,0,1,1,1, 0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1, 0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1, 0,0,0,1,0,0,1,1,0,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1, 0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,1,0,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1, 0,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1, 0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1, 0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,
0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,1, 0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0, 0,1,1,1,0,0,1,1,0,0,0,1,0,0,0,0, 0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0, 0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,0, 0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0, 0,1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,
0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0, 0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0, 0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0, 0,0,1,1,0,1,1,0,0,1,1,0,1,1,0,0, 0,0,0,1,0,1,1,1,1,1,1,0,1,0,0,0, 0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0, 0,1,1,1,0,0,0,1,1,0,0,0,1,1,1,0, 0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,
0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1, 0,0,0,0,1,1,1,1,0,0,0,0,1,1,1,1, 0,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0, 0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0, 0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0, 0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0, 0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1, 0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,
0,1,1,1,0,0,1,1,1,1,0,0,1,1,1,0, 0,0,0,1,0,0,1,1,1,1,0,0,1,0,0,0, 0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0, 0,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0, 0,1,1,0,1,0,0,1,1,0,0,1,0,1,1,0, 0,0,1,1,1,1,0,0,1,1,0,0,0,0,1,1, 0,1,1,0,0,1,1,0,1,0,0,1,1,0,0,1, 0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,
0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0, 0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0, 0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0, 0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0, 0,1,1,0,1,1,0,0,1,0,0,1,0,0,1,1, 0,0,1,1,0,1,1,0,1,1,0,0,1,0,0,1, 0,1,1,0,0,0,1,1,1,0,0,1,1,1,0,0, 0,0,1,1,1,0,0,1,1,1,0,0,0,1,1,0,
0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1, 0,1,1,0,0,0,1,1,0,0,1,1,1,0,0,1, 0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1, 0,0,0,1,1,0,0,0,1,1,1,0,0,1,1,1, 0,0,0,0,1,1,1,1,0,0,1,1,0,0,1,1, 0,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0, 0,0,1,0,0,0,1,0,1,1,1,0,1,1,1,0, 0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,1
};
const uint8_t g_bc7_partition3[64 * 16] =
{
0,0,1,1,0,0,1,1,0,2,2,1,2,2,2,2, 0,0,0,1,0,0,1,1,2,2,1,1,2,2,2,1, 0,0,0,0,2,0,0,1,2,2,1,1,2,2,1,1, 0,2,2,2,0,0,2,2,0,0,1,1,0,1,1,1, 0,0,0,0,0,0,0,0,1,1,2,2,1,1,2,2, 0,0,1,1,0,0,1,1,0,0,2,2,0,0,2,2, 0,0,2,2,0,0,2,2,1,1,1,1,1,1,1,1, 0,0,1,1,0,0,1,1,2,2,1,1,2,2,1,1,
0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2, 0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2, 0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2, 0,0,1,2,0,0,1,2,0,0,1,2,0,0,1,2, 0,1,1,2,0,1,1,2,0,1,1,2,0,1,1,2, 0,1,2,2,0,1,2,2,0,1,2,2,0,1,2,2, 0,0,1,1,0,1,1,2,1,1,2,2,1,2,2,2, 0,0,1,1,2,0,0,1,2,2,0,0,2,2,2,0,
0,0,0,1,0,0,1,1,0,1,1,2,1,1,2,2, 0,1,1,1,0,0,1,1,2,0,0,1,2,2,0,0, 0,0,0,0,1,1,2,2,1,1,2,2,1,1,2,2, 0,0,2,2,0,0,2,2,0,0,2,2,1,1,1,1, 0,1,1,1,0,1,1,1,0,2,2,2,0,2,2,2, 0,0,0,1,0,0,0,1,2,2,2,1,2,2,2,1, 0,0,0,0,0,0,1,1,0,1,2,2,0,1,2,2, 0,0,0,0,1,1,0,0,2,2,1,0,2,2,1,0,
0,1,2,2,0,1,2,2,0,0,1,1,0,0,0,0, 0,0,1,2,0,0,1,2,1,1,2,2,2,2,2,2, 0,1,1,0,1,2,2,1,1,2,2,1,0,1,1,0, 0,0,0,0,0,1,1,0,1,2,2,1,1,2,2,1, 0,0,2,2,1,1,0,2,1,1,0,2,0,0,2,2, 0,1,1,0,0,1,1,0,2,0,0,2,2,2,2,2, 0,0,1,1,0,1,2,2,0,1,2,2,0,0,1,1, 0,0,0,0,2,0,0,0,2,2,1,1,2,2,2,1,
0,0,0,0,0,0,0,2,1,1,2,2,1,2,2,2, 0,2,2,2,0,0,2,2,0,0,1,2,0,0,1,1, 0,0,1,1,0,0,1,2,0,0,2,2,0,2,2,2, 0,1,2,0,0,1,2,0,0,1,2,0,0,1,2,0, 0,0,0,0,1,1,1,1,2,2,2,2,0,0,0,0, 0,1,2,0,1,2,0,1,2,0,1,2,0,1,2,0, 0,1,2,0,2,0,1,2,1,2,0,1,0,1,2,0, 0,0,1,1,2,2,0,0,1,1,2,2,0,0,1,1,
0,0,1,1,1,1,2,2,2,2,0,0,0,0,1,1, 0,1,0,1,0,1,0,1,2,2,2,2,2,2,2,2, 0,0,0,0,0,0,0,0,2,1,2,1,2,1,2,1, 0,0,2,2,1,1,2,2,0,0,2,2,1,1,2,2, 0,0,2,2,0,0,1,1,0,0,2,2,0,0,1,1, 0,2,2,0,1,2,2,1,0,2,2,0,1,2,2,1, 0,1,0,1,2,2,2,2,2,2,2,2,0,1,0,1, 0,0,0,0,2,1,2,1,2,1,2,1,2,1,2,1,
0,1,0,1,0,1,0,1,0,1,0,1,2,2,2,2, 0,2,2,2,0,1,1,1,0,2,2,2,0,1,1,1, 0,0,0,2,1,1,1,2,0,0,0,2,1,1,1,2, 0,0,0,0,2,1,1,2,2,1,1,2,2,1,1,2, 0,2,2,2,0,1,1,1,0,1,1,1,0,2,2,2, 0,0,0,2,1,1,1,2,1,1,1,2,0,0,0,2, 0,1,1,0,0,1,1,0,0,1,1,0,2,2,2,2, 0,0,0,0,0,0,0,0,2,1,1,2,2,1,1,2,
0,1,1,0,0,1,1,0,2,2,2,2,2,2,2,2, 0,0,2,2,0,0,1,1,0,0,1,1,0,0,2,2, 0,0,2,2,1,1,2,2,1,1,2,2,0,0,2,2, 0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2, 0,0,0,2,0,0,0,1,0,0,0,2,0,0,0,1, 0,2,2,2,1,2,2,2,0,2,2,2,1,2,2,2, 0,1,0,1,2,2,2,2,2,2,2,2,2,2,2,2, 0,1,1,1,2,0,1,1,2,2,0,1,2,2,2,0,
};
const uint8_t g_bc7_table_anchor_index_second_subset[64] = { 15,15,15,15,15,15,15,15, 15,15,15,15,15,15,15,15, 15, 2, 8, 2, 2, 8, 8,15, 2, 8, 2, 2, 8, 8, 2, 2, 15,15, 6, 8, 2, 8,15,15, 2, 8, 2, 2, 2,15,15, 6, 6, 2, 6, 8,15,15, 2, 2, 15,15,15,15,15, 2, 2,15 };
const uint8_t g_bc7_table_anchor_index_third_subset_1[64] =
{
3, 3,15,15, 8, 3,15,15, 8, 8, 6, 6, 6, 5, 3, 3, 3, 3, 8,15, 3, 3, 6,10, 5, 8, 8, 6, 8, 5,15,15, 8,15, 3, 5, 6,10, 8,15, 15, 3,15, 5,15,15,15,15, 3,15, 5, 5, 5, 8, 5,10, 5,10, 8,13,15,12, 3, 3
};
const uint8_t g_bc7_table_anchor_index_third_subset_2[64] =
{
15, 8, 8, 3,15,15, 3, 8, 15,15,15,15,15,15,15, 8, 15, 8,15, 3,15, 8,15, 8, 3,15, 6,10,15,15,10, 8, 15, 3,15,10,10, 8, 9,10, 6,15, 8,15, 3, 6, 6, 8, 15, 3,15,15,15,15,15,15, 15,15,15,15, 3,15,15, 8
};
const uint8_t g_bc7_num_subsets[8] = { 3, 2, 3, 2, 1, 1, 1, 2 };
const uint8_t g_bc7_partition_bits[8] = { 4, 6, 6, 6, 0, 0, 0, 6 };
const uint8_t g_bc7_color_index_bitcount[8] = { 3, 3, 2, 2, 2, 2, 4, 2 };
const uint8_t g_bc7_mode_has_p_bits[8] = { 1, 1, 0, 1, 0, 0, 1, 1 };
const uint8_t g_bc7_mode_has_shared_p_bits[8] = { 0, 1, 0, 0, 0, 0, 0, 0 };
const uint8_t g_bc7_color_precision_table[8] = { 4, 6, 5, 7, 5, 7, 7, 5 };
const int8_t g_bc7_alpha_precision_table[8] = { 0, 0, 0, 0, 6, 8, 7, 5 };
const uint8_t g_bc7_alpha_index_bitcount[8] = { 0, 0, 0, 0, 3, 2, 4, 2 };
endpoint_err g_bc7_mode_6_optimal_endpoints[256][2]; // [c][pbit]
endpoint_err g_bc7_mode_5_optimal_endpoints[256]; // [c]
static inline void bc7_set_block_bits(uint8_t* pBytes, uint32_t val, uint32_t num_bits, uint32_t* pCur_ofs)
{
assert((num_bits <= 32) && (val < (1ULL << num_bits)));
while (num_bits)
{
const uint32_t n = basisu::minimumu(8 - (*pCur_ofs & 7), num_bits);
pBytes[*pCur_ofs >> 3] |= (uint8_t)(val << (*pCur_ofs & 7));
val >>= n;
num_bits -= n;
*pCur_ofs += n;
}
assert(*pCur_ofs <= 128);
}
// TODO: Optimize this.
void encode_bc7_block(void* pBlock, const bc7_optimization_results* pResults)
{
const uint32_t best_mode = pResults->m_mode;
const uint32_t total_subsets = g_bc7_num_subsets[best_mode];
const uint32_t total_partitions = 1 << g_bc7_partition_bits[best_mode];
//const uint32_t num_rotations = 1 << g_bc7_rotation_bits[best_mode];
//const uint32_t num_index_selectors = (best_mode == 4) ? 2 : 1;
const uint8_t* pPartition;
if (total_subsets == 1)
pPartition = &g_bc7_partition1[0];
else if (total_subsets == 2)
pPartition = &g_bc7_partition2[pResults->m_partition * 16];
else
pPartition = &g_bc7_partition3[pResults->m_partition * 16];
uint8_t color_selectors[16];
memcpy(color_selectors, pResults->m_selectors, 16);
uint8_t alpha_selectors[16];
memcpy(alpha_selectors, pResults->m_alpha_selectors, 16);
color_quad_u8 low[3], high[3];
memcpy(low, pResults->m_low, sizeof(low));
memcpy(high, pResults->m_high, sizeof(high));
uint32_t pbits[3][2];
memcpy(pbits, pResults->m_pbits, sizeof(pbits));
int anchor[3] = { -1, -1, -1 };
for (uint32_t k = 0; k < total_subsets; k++)
{
uint32_t anchor_index = 0;
if (k)
{
if ((total_subsets == 3) && (k == 1))
anchor_index = g_bc7_table_anchor_index_third_subset_1[pResults->m_partition];
else if ((total_subsets == 3) && (k == 2))
anchor_index = g_bc7_table_anchor_index_third_subset_2[pResults->m_partition];
else
anchor_index = g_bc7_table_anchor_index_second_subset[pResults->m_partition];
}
anchor[k] = anchor_index;
const uint32_t color_index_bits = get_bc7_color_index_size(best_mode, pResults->m_index_selector);
const uint32_t num_color_indices = 1 << color_index_bits;
if (color_selectors[anchor_index] & (num_color_indices >> 1))
{
for (uint32_t i = 0; i < 16; i++)
if (pPartition[i] == k)
color_selectors[i] = (uint8_t)((num_color_indices - 1) - color_selectors[i]);
if (get_bc7_mode_has_seperate_alpha_selectors(best_mode))
{
for (uint32_t q = 0; q < 3; q++)
{
uint8_t t = low[k].m_c[q];
low[k].m_c[q] = high[k].m_c[q];
high[k].m_c[q] = t;
}
}
else
{
color_quad_u8 tmp = low[k];
low[k] = high[k];
high[k] = tmp;
}
if (!g_bc7_mode_has_shared_p_bits[best_mode])
{
uint32_t t = pbits[k][0];
pbits[k][0] = pbits[k][1];
pbits[k][1] = t;
}
}
if (get_bc7_mode_has_seperate_alpha_selectors(best_mode))
{
const uint32_t alpha_index_bits = get_bc7_alpha_index_size(best_mode, pResults->m_index_selector);
const uint32_t num_alpha_indices = 1 << alpha_index_bits;
if (alpha_selectors[anchor_index] & (num_alpha_indices >> 1))
{
for (uint32_t i = 0; i < 16; i++)
if (pPartition[i] == k)
alpha_selectors[i] = (uint8_t)((num_alpha_indices - 1) - alpha_selectors[i]);
uint8_t t = low[k].m_c[3];
low[k].m_c[3] = high[k].m_c[3];
high[k].m_c[3] = t;
}
}
}
uint8_t* pBlock_bytes = (uint8_t*)(pBlock);
memset(pBlock_bytes, 0, BC7ENC_BLOCK_SIZE);
uint32_t cur_bit_ofs = 0;
bc7_set_block_bits(pBlock_bytes, 1 << best_mode, best_mode + 1, &cur_bit_ofs);
if ((best_mode == 4) || (best_mode == 5))
bc7_set_block_bits(pBlock_bytes, pResults->m_rotation, 2, &cur_bit_ofs);
if (best_mode == 4)
bc7_set_block_bits(pBlock_bytes, pResults->m_index_selector, 1, &cur_bit_ofs);
if (total_partitions > 1)
bc7_set_block_bits(pBlock_bytes, pResults->m_partition, (total_partitions == 64) ? 6 : 4, &cur_bit_ofs);
const uint32_t total_comps = (best_mode >= 4) ? 4 : 3;
for (uint32_t comp = 0; comp < total_comps; comp++)
{
for (uint32_t subset = 0; subset < total_subsets; subset++)
{
bc7_set_block_bits(pBlock_bytes, low[subset].m_c[comp], (comp == 3) ? g_bc7_alpha_precision_table[best_mode] : g_bc7_color_precision_table[best_mode], &cur_bit_ofs);
bc7_set_block_bits(pBlock_bytes, high[subset].m_c[comp], (comp == 3) ? g_bc7_alpha_precision_table[best_mode] : g_bc7_color_precision_table[best_mode], &cur_bit_ofs);
}
}
if (g_bc7_mode_has_p_bits[best_mode])
{
for (uint32_t subset = 0; subset < total_subsets; subset++)
{
bc7_set_block_bits(pBlock_bytes, pbits[subset][0], 1, &cur_bit_ofs);
if (!g_bc7_mode_has_shared_p_bits[best_mode])
bc7_set_block_bits(pBlock_bytes, pbits[subset][1], 1, &cur_bit_ofs);
}
}
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
int idx = x + y * 4;
uint32_t n = pResults->m_index_selector ? get_bc7_alpha_index_size(best_mode, pResults->m_index_selector) : get_bc7_color_index_size(best_mode, pResults->m_index_selector);
if ((idx == anchor[0]) || (idx == anchor[1]) || (idx == anchor[2]))
n--;
bc7_set_block_bits(pBlock_bytes, pResults->m_index_selector ? alpha_selectors[idx] : color_selectors[idx], n, &cur_bit_ofs);
}
}
if (get_bc7_mode_has_seperate_alpha_selectors(best_mode))
{
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
int idx = x + y * 4;
uint32_t n = pResults->m_index_selector ? get_bc7_color_index_size(best_mode, pResults->m_index_selector) : get_bc7_alpha_index_size(best_mode, pResults->m_index_selector);
if ((idx == anchor[0]) || (idx == anchor[1]) || (idx == anchor[2]))
n--;
bc7_set_block_bits(pBlock_bytes, pResults->m_index_selector ? color_selectors[idx] : alpha_selectors[idx], n, &cur_bit_ofs);
}
}
}
assert(cur_bit_ofs == 128);
}
// ASTC
static inline void astc_set_bits_1_to_9(uint32_t* pDst, int& bit_offset, uint32_t code, uint32_t codesize)
{
uint8_t* pBuf = reinterpret_cast<uint8_t*>(pDst);
assert(codesize <= 9);
if (codesize)
{
uint32_t byte_bit_offset = bit_offset & 7;
uint32_t val = code << byte_bit_offset;
uint32_t index = bit_offset >> 3;
pBuf[index] |= (uint8_t)val;
if (codesize > (8 - byte_bit_offset))
pBuf[index + 1] |= (uint8_t)(val >> 8);
bit_offset += codesize;
}
}
void pack_astc_solid_block(void* pDst_block, const color32& color)
{
uint32_t r = color[0], g = color[1], b = color[2];
uint32_t a = color[3];
uint32_t* pOutput = static_cast<uint32_t*>(pDst_block);
uint8_t* pBytes = reinterpret_cast<uint8_t*>(pDst_block);
pBytes[0] = 0xfc; pBytes[1] = 0xfd; pBytes[2] = 0xff; pBytes[3] = 0xff;
pOutput[1] = 0xffffffff;
pOutput[2] = 0;
pOutput[3] = 0;
int bit_pos = 64;
astc_set_bits(reinterpret_cast<uint32_t*>(pDst_block), bit_pos, r | (r << 8), 16);
astc_set_bits(reinterpret_cast<uint32_t*>(pDst_block), bit_pos, g | (g << 8), 16);
astc_set_bits(reinterpret_cast<uint32_t*>(pDst_block), bit_pos, b | (b << 8), 16);
astc_set_bits(reinterpret_cast<uint32_t*>(pDst_block), bit_pos, a | (a << 8), 16);
}
// See 23.21 https://www.khronos.org/registry/DataFormat/specs/1.3/dataformat.1.3.inline.html#_partition_pattern_generation
#ifdef _DEBUG
static inline uint32_t astc_hash52(uint32_t v)
{
uint32_t p = v;
p ^= p >> 15; p -= p << 17; p += p << 7; p += p << 4;
p ^= p >> 5; p += p << 16; p ^= p >> 7; p ^= p >> 3;
p ^= p << 6; p ^= p >> 17;
return p;
}
int astc_compute_texel_partition(int seed, int x, int y, int z, int partitioncount, bool small_block)
{
if (small_block)
{
x <<= 1; y <<= 1; z <<= 1;
}
seed += (partitioncount - 1) * 1024;
uint32_t rnum = astc_hash52(seed);
uint8_t seed1 = rnum & 0xF;
uint8_t seed2 = (rnum >> 4) & 0xF;
uint8_t seed3 = (rnum >> 8) & 0xF;
uint8_t seed4 = (rnum >> 12) & 0xF;
uint8_t seed5 = (rnum >> 16) & 0xF;
uint8_t seed6 = (rnum >> 20) & 0xF;
uint8_t seed7 = (rnum >> 24) & 0xF;
uint8_t seed8 = (rnum >> 28) & 0xF;
uint8_t seed9 = (rnum >> 18) & 0xF;
uint8_t seed10 = (rnum >> 22) & 0xF;
uint8_t seed11 = (rnum >> 26) & 0xF;
uint8_t seed12 = ((rnum >> 30) | (rnum << 2)) & 0xF;
seed1 *= seed1; seed2 *= seed2;
seed3 *= seed3; seed4 *= seed4;
seed5 *= seed5; seed6 *= seed6;
seed7 *= seed7; seed8 *= seed8;
seed9 *= seed9; seed10 *= seed10;
seed11 *= seed11; seed12 *= seed12;
int sh1, sh2, sh3;
if (seed & 1)
{
sh1 = (seed & 2 ? 4 : 5); sh2 = (partitioncount == 3 ? 6 : 5);
}
else
{
sh1 = (partitioncount == 3 ? 6 : 5); sh2 = (seed & 2 ? 4 : 5);
}
sh3 = (seed & 0x10) ? sh1 : sh2;
seed1 >>= sh1; seed2 >>= sh2; seed3 >>= sh1; seed4 >>= sh2;
seed5 >>= sh1; seed6 >>= sh2; seed7 >>= sh1; seed8 >>= sh2;
seed9 >>= sh3; seed10 >>= sh3; seed11 >>= sh3; seed12 >>= sh3;
int a = seed1 * x + seed2 * y + seed11 * z + (rnum >> 14);
int b = seed3 * x + seed4 * y + seed12 * z + (rnum >> 10);
int c = seed5 * x + seed6 * y + seed9 * z + (rnum >> 6);
int d = seed7 * x + seed8 * y + seed10 * z + (rnum >> 2);
a &= 0x3F; b &= 0x3F; c &= 0x3F; d &= 0x3F;
if (partitioncount < 4) d = 0;
if (partitioncount < 3) c = 0;
if (a >= b && a >= c && a >= d)
return 0;
else if (b >= c && b >= d)
return 1;
else if (c >= d)
return 2;
else
return 3;
}
#endif
static const uint8_t g_astc_quint_encode[125] =
{
0, 1, 2, 3, 4, 8, 9, 10, 11, 12, 16, 17, 18, 19, 20, 24, 25, 26, 27, 28, 5, 13, 21, 29, 6, 32, 33, 34, 35, 36, 40, 41, 42, 43, 44, 48, 49, 50, 51, 52, 56, 57,
58, 59, 60, 37, 45, 53, 61, 14, 64, 65, 66, 67, 68, 72, 73, 74, 75, 76, 80, 81, 82, 83, 84, 88, 89, 90, 91, 92, 69, 77, 85, 93, 22, 96, 97, 98, 99, 100, 104,
105, 106, 107, 108, 112, 113, 114, 115, 116, 120, 121, 122, 123, 124, 101, 109, 117, 125, 30, 102, 103, 70, 71, 38, 110, 111, 78, 79, 46, 118, 119, 86, 87, 54,
126, 127, 94, 95, 62, 39, 47, 55, 63, 31
};
// Encodes 3 values to output, usable for any range that uses quints and bits
static inline void astc_encode_quints(uint32_t* pOutput, const uint8_t* pValues, int& bit_pos, int n)
{
// First extract the trits and the bits from the 5 input values
int quints = 0, bits[3];
const uint32_t bit_mask = (1 << n) - 1;
for (int i = 0; i < 3; i++)
{
static const int s_muls[3] = { 1, 5, 25 };
const int t = pValues[i] >> n;
quints += t * s_muls[i];
bits[i] = pValues[i] & bit_mask;
}
// Encode the quints, by inverting the bit manipulations done by the decoder, converting 3 quints into 7-bits.
// See https://www.khronos.org/registry/DataFormat/specs/1.2/dataformat.1.2.html#astc-integer-sequence-encoding
assert(quints < 125);
const int T = g_astc_quint_encode[quints];
// Now interleave the 7 encoded quint bits with the bits to form the encoded output. See table 95-96.
astc_set_bits(pOutput, bit_pos, bits[0] | (astc_extract_bits(T, 0, 2) << n) | (bits[1] << (3 + n)) | (astc_extract_bits(T, 3, 4) << (3 + n * 2)) |
(bits[2] << (5 + n * 2)) | (astc_extract_bits(T, 5, 6) << (5 + n * 3)), 7 + n * 3);
}
// Packs values using ASTC's BISE to output buffer.
static void astc_pack_bise(uint32_t* pDst, const uint8_t* pSrc_vals, int bit_pos, int num_vals, int range)
{
uint32_t temp[5] = { 0, 0, 0, 0, 0 };
const int num_bits = g_astc_bise_range_table[range][0];
int group_size = 0;
if (g_astc_bise_range_table[range][1])
group_size = 5;
else if (g_astc_bise_range_table[range][2])
group_size = 3;
if (group_size)
{
// Range has trits or quints - pack each group of 5 or 3 values
const int total_groups = (group_size == 5) ? ((num_vals + 4) / 5) : ((num_vals + 2) / 3);
for (int group_index = 0; group_index < total_groups; group_index++)
{
uint8_t vals[5] = { 0, 0, 0, 0, 0 };
const int limit = basisu::minimum(group_size, num_vals - group_index * group_size);
for (int i = 0; i < limit; i++)
vals[i] = pSrc_vals[group_index * group_size + i];
if (group_size == 5)
astc_encode_trits(temp, vals, bit_pos, num_bits);
else
astc_encode_quints(temp, vals, bit_pos, num_bits);
}
}
else
{
for (int i = 0; i < num_vals; i++)
astc_set_bits_1_to_9(temp, bit_pos, pSrc_vals[i], num_bits);
}
pDst[0] |= temp[0]; pDst[1] |= temp[1];
pDst[2] |= temp[2]; pDst[3] |= temp[3];
}
const uint32_t ASTC_BLOCK_MODE_BITS = 11;
const uint32_t ASTC_PART_BITS = 2;
const uint32_t ASTC_CEM_BITS = 4;
const uint32_t ASTC_PARTITION_INDEX_BITS = 10;
const uint32_t ASTC_CCS_BITS = 2;
const uint32_t g_uastc_mode_astc_block_mode[TOTAL_UASTC_MODES] = { 0x242, 0x42, 0x53, 0x42, 0x42, 0x53, 0x442, 0x42, 0, 0x42, 0x242, 0x442, 0x53, 0x441, 0x42, 0x242, 0x42, 0x442, 0x253 };
bool pack_astc_block(uint32_t* pDst, const astc_block_desc* pBlock, uint32_t uastc_mode)
{
assert(uastc_mode < TOTAL_UASTC_MODES);
uint8_t* pDst_bytes = reinterpret_cast<uint8_t*>(pDst);
const int total_weights = pBlock->m_dual_plane ? 32 : 16;
// Set mode bits - see Table 146-147
uint32_t mode = g_uastc_mode_astc_block_mode[uastc_mode];
pDst_bytes[0] = (uint8_t)mode;
pDst_bytes[1] = (uint8_t)(mode >> 8);
memset(pDst_bytes + 2, 0, 16 - 2);
int bit_pos = ASTC_BLOCK_MODE_BITS;
// We only support 1-5 bit weight indices
assert(!g_astc_bise_range_table[pBlock->m_weight_range][1] && !g_astc_bise_range_table[pBlock->m_weight_range][2]);
const int bits_per_weight = g_astc_bise_range_table[pBlock->m_weight_range][0];
// See table 143 - PART
astc_set_bits_1_to_9(pDst, bit_pos, pBlock->m_subsets - 1, ASTC_PART_BITS);
if (pBlock->m_subsets == 1)
astc_set_bits_1_to_9(pDst, bit_pos, pBlock->m_cem, ASTC_CEM_BITS);
else
{
// See table 145
astc_set_bits(pDst, bit_pos, pBlock->m_partition_seed, ASTC_PARTITION_INDEX_BITS);
// Table 150 - we assume all CEM's are equal, so write 2 0's along with the CEM
astc_set_bits_1_to_9(pDst, bit_pos, (pBlock->m_cem << 2) & 63, ASTC_CEM_BITS + 2);
}
if (pBlock->m_dual_plane)
{
const int total_weight_bits = total_weights * bits_per_weight;
// See Illegal Encodings 23.24
// https://www.khronos.org/registry/DataFormat/specs/1.3/dataformat.1.3.inline.html#_illegal_encodings
assert((total_weight_bits >= 24) && (total_weight_bits <= 96));
int ccs_bit_pos = 128 - total_weight_bits - ASTC_CCS_BITS;
astc_set_bits_1_to_9(pDst, ccs_bit_pos, pBlock->m_ccs, ASTC_CCS_BITS);
}
const int num_cem_pairs = (1 + (pBlock->m_cem >> 2)) * pBlock->m_subsets;
assert(num_cem_pairs <= 9);
astc_pack_bise(pDst, pBlock->m_endpoints, bit_pos, num_cem_pairs * 2, g_uastc_mode_endpoint_ranges[uastc_mode]);
// Write the weight bits in reverse bit order.
switch (bits_per_weight)
{
case 1:
{
const uint32_t N = 1;
for (int i = 0; i < total_weights; i++)
{
const uint32_t ofs = 128 - N - i;
assert((ofs >> 3) < 16);
pDst_bytes[ofs >> 3] |= (pBlock->m_weights[i] << (ofs & 7));
}
break;
}
case 2:
{
const uint32_t N = 2;
for (int i = 0; i < total_weights; i++)
{
static const uint8_t s_reverse_bits2[4] = { 0, 2, 1, 3 };
const uint32_t ofs = 128 - N - (i * N);
assert((ofs >> 3) < 16);
pDst_bytes[ofs >> 3] |= (s_reverse_bits2[pBlock->m_weights[i]] << (ofs & 7));
}
break;
}
case 3:
{
const uint32_t N = 3;
for (int i = 0; i < total_weights; i++)
{
static const uint8_t s_reverse_bits3[8] = { 0, 4, 2, 6, 1, 5, 3, 7 };
const uint32_t ofs = 128 - N - (i * N);
const uint32_t rev = s_reverse_bits3[pBlock->m_weights[i]] << (ofs & 7);
uint32_t index = ofs >> 3;
assert(index < 16);
pDst_bytes[index++] |= rev & 0xFF;
if (index < 16)
pDst_bytes[index++] |= (rev >> 8);
}
break;
}
case 4:
{
const uint32_t N = 4;
for (int i = 0; i < total_weights; i++)
{
static const uint8_t s_reverse_bits4[16] = { 0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15 };
const int ofs = 128 - N - (i * N);
assert(ofs >= 0 && (ofs >> 3) < 16);
pDst_bytes[ofs >> 3] |= (s_reverse_bits4[pBlock->m_weights[i]] << (ofs & 7));
}
break;
}
case 5:
{
const uint32_t N = 5;
for (int i = 0; i < total_weights; i++)
{
static const uint8_t s_reverse_bits5[32] = { 0, 16, 8, 24, 4, 20, 12, 28, 2, 18, 10, 26, 6, 22, 14, 30, 1, 17, 9, 25, 5, 21, 13, 29, 3, 19, 11, 27, 7, 23, 15, 31 };
const uint32_t ofs = 128 - N - (i * N);
const uint32_t rev = s_reverse_bits5[pBlock->m_weights[i]] << (ofs & 7);
uint32_t index = ofs >> 3;
assert(index < 16);
pDst_bytes[index++] |= rev & 0xFF;
if (index < 16)
pDst_bytes[index++] |= (rev >> 8);
}
break;
}
default:
assert(0);
break;
}
return true;
}
const uint8_t* get_anchor_indices(uint32_t subsets, uint32_t mode, uint32_t common_pattern, const uint8_t*& pPartition_pattern)
{
const uint8_t* pSubset_anchor_indices = g_zero_pattern;
pPartition_pattern = g_zero_pattern;
if (subsets >= 2)
{
if (subsets == 3)
{
pPartition_pattern = &g_astc_bc7_patterns3[common_pattern][0];
pSubset_anchor_indices = &g_astc_bc7_pattern3_anchors[common_pattern][0];
}
else if (mode == 7)
{
pPartition_pattern = &g_bc7_3_astc2_patterns2[common_pattern][0];
pSubset_anchor_indices = &g_bc7_3_astc2_patterns2_anchors[common_pattern][0];
}
else
{
pPartition_pattern = &g_astc_bc7_patterns2[common_pattern][0];
pSubset_anchor_indices = &g_astc_bc7_pattern2_anchors[common_pattern][0];
}
}
return pSubset_anchor_indices;
}
static inline uint32_t read_bit(const uint8_t* pBuf, uint32_t& bit_offset)
{
uint32_t byte_bits = pBuf[bit_offset >> 3] >> (bit_offset & 7);
bit_offset += 1;
return byte_bits & 1;
}
static inline uint32_t read_bits1_to_9(const uint8_t* pBuf, uint32_t& bit_offset, uint32_t codesize)
{
assert(codesize <= 9);
if (!codesize)
return 0;
if ((BASISD_IS_BIG_ENDIAN) || (!BASISD_USE_UNALIGNED_WORD_READS) || (bit_offset >= 112))
{
const uint8_t* pBytes = &pBuf[bit_offset >> 3U];
uint32_t byte_bit_offset = bit_offset & 7U;
uint32_t bits = pBytes[0] >> byte_bit_offset;
uint32_t bits_read = basisu::minimum<int>(codesize, 8 - byte_bit_offset);
uint32_t bits_remaining = codesize - bits_read;
if (bits_remaining)
bits |= ((uint32_t)pBytes[1]) << bits_read;
bit_offset += codesize;
return bits & ((1U << codesize) - 1U);
}
uint32_t byte_bit_offset = bit_offset & 7U;
const uint16_t w = *(const uint16_t *)(&pBuf[bit_offset >> 3U]);
bit_offset += codesize;
return (w >> byte_bit_offset) & ((1U << codesize) - 1U);
}
inline uint64_t read_bits64(const uint8_t* pBuf, uint32_t& bit_offset, uint32_t codesize)
{
assert(codesize <= 64U);
uint64_t bits = 0;
uint32_t total_bits = 0;
while (total_bits < codesize)
{
uint32_t byte_bit_offset = bit_offset & 7U;
uint32_t bits_to_read = basisu::minimum<int>(codesize - total_bits, 8U - byte_bit_offset);
uint32_t byte_bits = pBuf[bit_offset >> 3U] >> byte_bit_offset;
byte_bits &= ((1U << bits_to_read) - 1U);
bits |= ((uint64_t)(byte_bits) << total_bits);
total_bits += bits_to_read;
bit_offset += bits_to_read;
}
return bits;
}
static inline uint32_t read_bits1_to_9_fst(const uint8_t* pBuf, uint32_t& bit_offset, uint32_t codesize)
{
assert(codesize <= 9);
if (!codesize)
return 0;
assert(bit_offset < 112);
if ((BASISD_IS_BIG_ENDIAN) || (!BASISD_USE_UNALIGNED_WORD_READS))
{
const uint8_t* pBytes = &pBuf[bit_offset >> 3U];
uint32_t byte_bit_offset = bit_offset & 7U;
uint32_t bits = pBytes[0] >> byte_bit_offset;
uint32_t bits_read = basisu::minimum<int>(codesize, 8 - byte_bit_offset);
uint32_t bits_remaining = codesize - bits_read;
if (bits_remaining)
bits |= ((uint32_t)pBytes[1]) << bits_read;
bit_offset += codesize;
return bits & ((1U << codesize) - 1U);
}
uint32_t byte_bit_offset = bit_offset & 7U;
const uint16_t w = *(const uint16_t*)(&pBuf[bit_offset >> 3U]);
bit_offset += codesize;
return (w >> byte_bit_offset)& ((1U << codesize) - 1U);
}
bool unpack_uastc(const uastc_block& blk, unpacked_uastc_block& unpacked, bool blue_contract_check, bool read_hints)
{
//memset(&unpacked, 0, sizeof(unpacked));
#if 0
uint8_t table[128];
memset(table, 0xFF, sizeof(table));
{
for (uint32_t mode = 0; mode <= TOTAL_UASTC_MODES; mode++)
{
const uint32_t code = g_uastc_mode_huff_codes[mode][0];
const uint32_t codesize = g_uastc_mode_huff_codes[mode][1];
table[code] = mode;
uint32_t bits_left = 7 - codesize;
for (uint32_t i = 0; i < (1 << bits_left); i++)
table[code | (i << codesize)] = mode;
}
for (uint32_t i = 0; i < 128; i++)
printf("%u,", table[i]);
exit(0);
}
#endif
const int mode = g_uastc_huff_modes[blk.m_bytes[0] & 127];
if (mode >= (int)TOTAL_UASTC_MODES)
return false;
unpacked.m_mode = mode;
uint32_t bit_ofs = g_uastc_mode_huff_codes[mode][1];
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
unpacked.m_solid_color.r = (uint8_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
unpacked.m_solid_color.g = (uint8_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
unpacked.m_solid_color.b = (uint8_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
unpacked.m_solid_color.a = (uint8_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
if (read_hints)
{
unpacked.m_etc1_flip = false;
unpacked.m_etc1_diff = read_bit(blk.m_bytes, bit_ofs) != 0;
unpacked.m_etc1_inten0 = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 3);
unpacked.m_etc1_inten1 = 0;
unpacked.m_etc1_selector = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 2);
unpacked.m_etc1_r = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
unpacked.m_etc1_g = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
unpacked.m_etc1_b = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
unpacked.m_etc1_bias = 0;
unpacked.m_etc2_hints = 0;
}
return true;
}
if (read_hints)
{
if (g_uastc_mode_has_bc1_hint0[mode])
unpacked.m_bc1_hint0 = read_bit(blk.m_bytes, bit_ofs) != 0;
else
unpacked.m_bc1_hint0 = false;
if (g_uastc_mode_has_bc1_hint1[mode])
unpacked.m_bc1_hint1 = read_bit(blk.m_bytes, bit_ofs) != 0;
else
unpacked.m_bc1_hint1 = false;
unpacked.m_etc1_flip = read_bit(blk.m_bytes, bit_ofs) != 0;
unpacked.m_etc1_diff = read_bit(blk.m_bytes, bit_ofs) != 0;
unpacked.m_etc1_inten0 = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 3);
unpacked.m_etc1_inten1 = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 3);
if (g_uastc_mode_has_etc1_bias[mode])
unpacked.m_etc1_bias = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
else
unpacked.m_etc1_bias = 0;
if (g_uastc_mode_has_alpha[mode])
{
unpacked.m_etc2_hints = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 8);
//assert(unpacked.m_etc2_hints > 0);
}
else
unpacked.m_etc2_hints = 0;
}
else
bit_ofs += g_uastc_mode_total_hint_bits[mode];
uint32_t subsets = 1;
switch (mode)
{
case 2:
case 4:
case 7:
case 9:
case 16:
unpacked.m_common_pattern = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 5);
subsets = 2;
break;
case 3:
unpacked.m_common_pattern = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 4);
subsets = 3;
break;
default:
break;
}
uint32_t part_seed = 0;
switch (mode)
{
case 2:
case 4:
case 9:
case 16:
if (unpacked.m_common_pattern >= TOTAL_ASTC_BC7_COMMON_PARTITIONS2)
return false;
part_seed = g_astc_bc7_common_partitions2[unpacked.m_common_pattern].m_astc;
break;
case 3:
if (unpacked.m_common_pattern >= TOTAL_ASTC_BC7_COMMON_PARTITIONS3)
return false;
part_seed = g_astc_bc7_common_partitions3[unpacked.m_common_pattern].m_astc;
break;
case 7:
if (unpacked.m_common_pattern >= TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS)
return false;
part_seed = g_bc7_3_astc2_common_partitions[unpacked.m_common_pattern].m_astc2;
break;
default:
break;
}
uint32_t total_planes = 1;
switch (mode)
{
case 6:
case 11:
case 13:
unpacked.m_astc.m_ccs = (int)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, 2);
total_planes = 2;
break;
case 17:
unpacked.m_astc.m_ccs = 3;
total_planes = 2;
break;
default:
break;
}
unpacked.m_astc.m_dual_plane = (total_planes == 2);
unpacked.m_astc.m_subsets = subsets;
unpacked.m_astc.m_partition_seed = part_seed;
const uint32_t total_comps = g_uastc_mode_comps[mode];
const uint32_t weight_bits = g_uastc_mode_weight_bits[mode];
unpacked.m_astc.m_weight_range = g_uastc_mode_weight_ranges[mode];
const uint32_t total_values = total_comps * 2 * subsets;
const uint32_t endpoint_range = g_uastc_mode_endpoint_ranges[mode];
const uint32_t cem = g_uastc_mode_cem[mode];
unpacked.m_astc.m_cem = cem;
const uint32_t ep_bits = g_astc_bise_range_table[endpoint_range][0];
const uint32_t ep_trits = g_astc_bise_range_table[endpoint_range][1];
const uint32_t ep_quints = g_astc_bise_range_table[endpoint_range][2];
uint32_t total_tqs = 0;
uint32_t bundle_size = 0, mul = 0;
if (ep_trits)
{
total_tqs = (total_values + 4) / 5;
bundle_size = 5;
mul = 3;
}
else if (ep_quints)
{
total_tqs = (total_values + 2) / 3;
bundle_size = 3;
mul = 5;
}
uint32_t tq_values[8];
for (uint32_t i = 0; i < total_tqs; i++)
{
uint32_t num_bits = ep_trits ? 8 : 7;
if (i == (total_tqs - 1))
{
uint32_t num_remaining = total_values - (total_tqs - 1) * bundle_size;
if (ep_trits)
{
switch (num_remaining)
{
case 1: num_bits = 2; break;
case 2: num_bits = 4; break;
case 3: num_bits = 5; break;
case 4: num_bits = 7; break;
default: break;
}
}
else if (ep_quints)
{
switch (num_remaining)
{
case 1: num_bits = 3; break;
case 2: num_bits = 5; break;
default: break;
}
}
}
tq_values[i] = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, num_bits);
} // i
uint32_t accum = 0;
uint32_t accum_remaining = 0;
uint32_t next_tq_index = 0;
for (uint32_t i = 0; i < total_values; i++)
{
uint32_t value = (uint32_t)read_bits1_to_9_fst(blk.m_bytes, bit_ofs, ep_bits);
if (total_tqs)
{
if (!accum_remaining)
{
assert(next_tq_index < total_tqs);
accum = tq_values[next_tq_index++];
accum_remaining = bundle_size;
}
// TODO: Optimize with tables
uint32_t v = accum % mul;
accum /= mul;
accum_remaining--;
value |= (v << ep_bits);
}
unpacked.m_astc.m_endpoints[i] = (uint8_t)value;
}
const uint8_t* pPartition_pattern;
const uint8_t* pSubset_anchor_indices = get_anchor_indices(subsets, mode, unpacked.m_common_pattern, pPartition_pattern);
#ifdef _DEBUG
for (uint32_t i = 0; i < 16; i++)
assert(pPartition_pattern[i] == astc_compute_texel_partition(part_seed, i & 3, i >> 2, 0, subsets, true));
for (uint32_t subset_index = 0; subset_index < subsets; subset_index++)
{
uint32_t anchor_index = 0;
for (uint32_t i = 0; i < 16; i++)
{
if (pPartition_pattern[i] == subset_index)
{
anchor_index = i;
break;
}
}
assert(pSubset_anchor_indices[subset_index] == anchor_index);
}
#endif
#if 0
const uint32_t total_planes_shift = total_planes - 1;
for (uint32_t i = 0; i < 16 * total_planes; i++)
{
uint32_t num_bits = weight_bits;
for (uint32_t s = 0; s < subsets; s++)
{
if (pSubset_anchor_indices[s] == (i >> total_planes_shift))
{
num_bits--;
break;
}
}
unpacked.m_astc.m_weights[i] = (uint8_t)read_bits1_to_9(blk.m_bytes, bit_ofs, num_bits);
}
#endif
if (mode == 18)
{
// Mode 18 is the only mode with more than 64 weight bits.
for (uint32_t i = 0; i < 16; i++)
unpacked.m_astc.m_weights[i] = (uint8_t)read_bits1_to_9(blk.m_bytes, bit_ofs, i ? weight_bits : (weight_bits - 1));
}
else
{
// All other modes have <= 64 weight bits.
uint64_t bits;
// Read the weight bits
if ((BASISD_IS_BIG_ENDIAN) || (!BASISD_USE_UNALIGNED_WORD_READS))
bits = read_bits64(blk.m_bytes, bit_ofs, basisu::minimum<int>(64, 128 - (int)bit_ofs));
else
{
bits = blk.m_dwords[2];
bits |= (((uint64_t)blk.m_dwords[3]) << 32U);
if (bit_ofs >= 64U)
bits >>= (bit_ofs - 64U);
else
{
assert(bit_ofs >= 56U);
uint32_t bits_needed = 64U - bit_ofs;
bits <<= bits_needed;
bits |= (blk.m_bytes[7] >> (8U - bits_needed));
}
}
bit_ofs = 0;
const uint32_t mask = (1U << weight_bits) - 1U;
const uint32_t anchor_mask = (1U << (weight_bits - 1U)) - 1U;
if (total_planes == 2)
{
// Dual plane modes always have a single subset, and the first 2 weights are anchors.
unpacked.m_astc.m_weights[0] = (uint8_t)((uint32_t)(bits >> bit_ofs) & anchor_mask);
bit_ofs += (weight_bits - 1);
unpacked.m_astc.m_weights[1] = (uint8_t)((uint32_t)(bits >> bit_ofs) & anchor_mask);
bit_ofs += (weight_bits - 1);
for (uint32_t i = 2; i < 32; i++)
{
unpacked.m_astc.m_weights[i] = (uint8_t)((uint32_t)(bits >> bit_ofs) & mask);
bit_ofs += weight_bits;
}
}
else
{
if (subsets == 1)
{
// Specialize the single subset case.
if (weight_bits == 4)
{
assert(bit_ofs == 0);
// Specialize the most common case: 4-bit weights.
unpacked.m_astc.m_weights[0] = (uint8_t)((uint32_t)(bits) & 7);
unpacked.m_astc.m_weights[1] = (uint8_t)((uint32_t)(bits >> 3) & 15);
unpacked.m_astc.m_weights[2] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 1)) & 15);
unpacked.m_astc.m_weights[3] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 2)) & 15);
unpacked.m_astc.m_weights[4] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 3)) & 15);
unpacked.m_astc.m_weights[5] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 4)) & 15);
unpacked.m_astc.m_weights[6] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 5)) & 15);
unpacked.m_astc.m_weights[7] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 6)) & 15);
unpacked.m_astc.m_weights[8] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 7)) & 15);
unpacked.m_astc.m_weights[9] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 8)) & 15);
unpacked.m_astc.m_weights[10] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 9)) & 15);
unpacked.m_astc.m_weights[11] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 10)) & 15);
unpacked.m_astc.m_weights[12] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 11)) & 15);
unpacked.m_astc.m_weights[13] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 12)) & 15);
unpacked.m_astc.m_weights[14] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 13)) & 15);
unpacked.m_astc.m_weights[15] = (uint8_t)((uint32_t)(bits >> (3 + 4 * 14)) & 15);
}
else
{
// First weight is always an anchor.
unpacked.m_astc.m_weights[0] = (uint8_t)((uint32_t)(bits >> bit_ofs) & anchor_mask);
bit_ofs += (weight_bits - 1);
for (uint32_t i = 1; i < 16; i++)
{
unpacked.m_astc.m_weights[i] = (uint8_t)((uint32_t)(bits >> bit_ofs) & mask);
bit_ofs += weight_bits;
}
}
}
else
{
const uint32_t a0 = pSubset_anchor_indices[0], a1 = pSubset_anchor_indices[1], a2 = pSubset_anchor_indices[2];
for (uint32_t i = 0; i < 16; i++)
{
if ((i == a0) || (i == a1) || (i == a2))
{
unpacked.m_astc.m_weights[i] = (uint8_t)((uint32_t)(bits >> bit_ofs) & anchor_mask);
bit_ofs += (weight_bits - 1);
}
else
{
unpacked.m_astc.m_weights[i] = (uint8_t)((uint32_t)(bits >> bit_ofs) & mask);
bit_ofs += weight_bits;
}
}
}
}
}
if ((blue_contract_check) && (total_comps >= 3))
{
// We only need to disable ASTC Blue Contraction when we'll be packing to ASTC. The other transcoders don't care.
bool invert_subset[3] = { false, false, false };
bool any_flag = false;
for (uint32_t subset_index = 0; subset_index < subsets; subset_index++)
{
const int s0 = g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 0]].m_unquant +
g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 2]].m_unquant +
g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 4]].m_unquant;
const int s1 = g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 1]].m_unquant +
g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 3]].m_unquant +
g_astc_unquant[endpoint_range][unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + 5]].m_unquant;
if (s1 < s0)
{
for (uint32_t c = 0; c < total_comps; c++)
std::swap(unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + c * 2 + 0], unpacked.m_astc.m_endpoints[subset_index * total_comps * 2 + c * 2 + 1]);
invert_subset[subset_index] = true;
any_flag = true;
}
}
if (any_flag)
{
const uint32_t weight_mask = (1 << weight_bits) - 1;
for (uint32_t i = 0; i < 16; i++)
{
uint32_t subset = pPartition_pattern[i];
if (invert_subset[subset])
{
unpacked.m_astc.m_weights[i * total_planes] = (uint8_t)(weight_mask - unpacked.m_astc.m_weights[i * total_planes]);
if (total_planes == 2)
unpacked.m_astc.m_weights[i * total_planes + 1] = (uint8_t)(weight_mask - unpacked.m_astc.m_weights[i * total_planes + 1]);
}
}
}
}
return true;
}
static const uint32_t* g_astc_weight_tables[6] = { nullptr, g_bc7_weights1, g_bc7_weights2, g_bc7_weights3, g_astc_weights4, g_astc_weights5 };
bool unpack_uastc(uint32_t mode, uint32_t common_pattern, const color32& solid_color, const astc_block_desc& astc, color32* pPixels, bool srgb)
{
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
for (uint32_t i = 0; i < 16; i++)
pPixels[i] = solid_color;
return true;
}
color32 endpoints[3][2];
const uint32_t total_subsets = g_uastc_mode_subsets[mode];
const uint32_t total_comps = basisu::minimum<uint32_t>(4U, g_uastc_mode_comps[mode]);
const uint32_t endpoint_range = g_uastc_mode_endpoint_ranges[mode];
const uint32_t total_planes = g_uastc_mode_planes[mode];
const uint32_t weight_bits = g_uastc_mode_weight_bits[mode];
const uint32_t weight_levels = 1 << weight_bits;
for (uint32_t subset_index = 0; subset_index < total_subsets; subset_index++)
{
if (total_comps == 2)
{
const uint32_t ll = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + 0 * 2 + 0]].m_unquant;
const uint32_t lh = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + 0 * 2 + 1]].m_unquant;
const uint32_t al = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + 1 * 2 + 0]].m_unquant;
const uint32_t ah = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + 1 * 2 + 1]].m_unquant;
endpoints[subset_index][0].set_noclamp_rgba(ll, ll, ll, al);
endpoints[subset_index][1].set_noclamp_rgba(lh, lh, lh, ah);
}
else
{
for (uint32_t comp_index = 0; comp_index < total_comps; comp_index++)
{
endpoints[subset_index][0][comp_index] = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + comp_index * 2 + 0]].m_unquant;
endpoints[subset_index][1][comp_index] = g_astc_unquant[endpoint_range][astc.m_endpoints[subset_index * total_comps * 2 + comp_index * 2 + 1]].m_unquant;
}
for (uint32_t comp_index = total_comps; comp_index < 4; comp_index++)
{
endpoints[subset_index][0][comp_index] = 255;
endpoints[subset_index][1][comp_index] = 255;
}
}
}
color32 block_colors[3][32];
const uint32_t* pWeights = g_astc_weight_tables[weight_bits];
for (uint32_t subset_index = 0; subset_index < total_subsets; subset_index++)
{
for (uint32_t l = 0; l < weight_levels; l++)
{
if (total_comps == 2)
{
const uint8_t lc = (uint8_t)astc_interpolate(endpoints[subset_index][0][0], endpoints[subset_index][1][0], pWeights[l], srgb);
const uint8_t ac = (uint8_t)astc_interpolate(endpoints[subset_index][0][3], endpoints[subset_index][1][3], pWeights[l], srgb);
block_colors[subset_index][l].set(lc, lc, lc, ac);
}
else
{
uint32_t comp_index;
for (comp_index = 0; comp_index < total_comps; comp_index++)
block_colors[subset_index][l][comp_index] = (uint8_t)astc_interpolate(endpoints[subset_index][0][comp_index], endpoints[subset_index][1][comp_index], pWeights[l], srgb);
for (; comp_index < 4; comp_index++)
block_colors[subset_index][l][comp_index] = 255;
}
}
}
const uint8_t* pPartition_pattern = g_zero_pattern;
if (total_subsets >= 2)
{
if (total_subsets == 3)
pPartition_pattern = &g_astc_bc7_patterns3[common_pattern][0];
else if (mode == 7)
pPartition_pattern = &g_bc7_3_astc2_patterns2[common_pattern][0];
else
pPartition_pattern = &g_astc_bc7_patterns2[common_pattern][0];
#ifdef _DEBUG
for (uint32_t i = 0; i < 16; i++)
{
assert(pPartition_pattern[i] == (uint8_t)astc_compute_texel_partition(astc.m_partition_seed, i & 3, i >> 2, 0, total_subsets, true));
}
#endif
}
if (total_planes == 1)
{
if (total_subsets == 1)
{
for (uint32_t i = 0; i < 16; i++)
{
assert(astc.m_weights[i] < weight_levels);
pPixels[i] = block_colors[0][astc.m_weights[i]];
}
}
else
{
for (uint32_t i = 0; i < 16; i++)
{
assert(astc.m_weights[i] < weight_levels);
pPixels[i] = block_colors[pPartition_pattern[i]][astc.m_weights[i]];
}
}
}
else
{
assert(total_subsets == 1);
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t subset_index = 0; // pPartition_pattern[i];
const uint32_t weight_index0 = astc.m_weights[i * 2];
const uint32_t weight_index1 = astc.m_weights[i * 2 + 1];
assert(weight_index0 < weight_levels && weight_index1 < weight_levels);
color32& c = pPixels[i];
for (uint32_t comp = 0; comp < 4; comp++)
{
if ((int)comp == astc.m_ccs)
c[comp] = block_colors[subset_index][weight_index1][comp];
else
c[comp] = block_colors[subset_index][weight_index0][comp];
}
}
}
return true;
}
bool unpack_uastc(const unpacked_uastc_block& unpacked_blk, color32* pPixels, bool srgb)
{
return unpack_uastc(unpacked_blk.m_mode, unpacked_blk.m_common_pattern, unpacked_blk.m_solid_color, unpacked_blk.m_astc, pPixels, srgb);
}
bool unpack_uastc(const uastc_block& blk, color32* pPixels, bool srgb)
{
unpacked_uastc_block unpacked_blk;
if (!unpack_uastc(blk, unpacked_blk, false, false))
return false;
return unpack_uastc(unpacked_blk, pPixels, srgb);
}
// Determines the best shared pbits to use to encode xl/xh
static void determine_shared_pbits(
uint32_t total_comps, uint32_t comp_bits, float xl[4], float xh[4],
color_quad_u8& bestMinColor, color_quad_u8& bestMaxColor, uint32_t best_pbits[2])
{
const uint32_t total_bits = comp_bits + 1;
assert(total_bits >= 4 && total_bits <= 8);
const int iscalep = (1 << total_bits) - 1;
const float scalep = (float)iscalep;
float best_err = 1e+9f;
for (int p = 0; p < 2; p++)
{
color_quad_u8 xMinColor, xMaxColor;
for (uint32_t c = 0; c < 4; c++)
{
xMinColor.m_c[c] = (uint8_t)(clampi(((int)((xl[c] * scalep - p) / 2.0f + .5f)) * 2 + p, p, iscalep - 1 + p));
xMaxColor.m_c[c] = (uint8_t)(clampi(((int)((xh[c] * scalep - p) / 2.0f + .5f)) * 2 + p, p, iscalep - 1 + p));
}
color_quad_u8 scaledLow, scaledHigh;
for (uint32_t i = 0; i < 4; i++)
{
scaledLow.m_c[i] = (xMinColor.m_c[i] << (8 - total_bits));
scaledLow.m_c[i] |= (scaledLow.m_c[i] >> total_bits);
assert(scaledLow.m_c[i] <= 255);
scaledHigh.m_c[i] = (xMaxColor.m_c[i] << (8 - total_bits));
scaledHigh.m_c[i] |= (scaledHigh.m_c[i] >> total_bits);
assert(scaledHigh.m_c[i] <= 255);
}
float err = 0;
for (uint32_t i = 0; i < total_comps; i++)
err += basisu::squaref((scaledLow.m_c[i] / 255.0f) - xl[i]) + basisu::squaref((scaledHigh.m_c[i] / 255.0f) - xh[i]);
if (err < best_err)
{
best_err = err;
best_pbits[0] = p;
best_pbits[1] = p;
for (uint32_t j = 0; j < 4; j++)
{
bestMinColor.m_c[j] = xMinColor.m_c[j] >> 1;
bestMaxColor.m_c[j] = xMaxColor.m_c[j] >> 1;
}
}
}
}
// Determines the best unique pbits to use to encode xl/xh
static void determine_unique_pbits(
uint32_t total_comps, uint32_t comp_bits, float xl[4], float xh[4],
color_quad_u8& bestMinColor, color_quad_u8& bestMaxColor, uint32_t best_pbits[2])
{
const uint32_t total_bits = comp_bits + 1;
const int iscalep = (1 << total_bits) - 1;
const float scalep = (float)iscalep;
float best_err0 = 1e+9f;
float best_err1 = 1e+9f;
for (int p = 0; p < 2; p++)
{
color_quad_u8 xMinColor, xMaxColor;
for (uint32_t c = 0; c < 4; c++)
{
xMinColor.m_c[c] = (uint8_t)(clampi(((int)((xl[c] * scalep - p) / 2.0f + .5f)) * 2 + p, p, iscalep - 1 + p));
xMaxColor.m_c[c] = (uint8_t)(clampi(((int)((xh[c] * scalep - p) / 2.0f + .5f)) * 2 + p, p, iscalep - 1 + p));
}
color_quad_u8 scaledLow, scaledHigh;
for (uint32_t i = 0; i < 4; i++)
{
scaledLow.m_c[i] = (xMinColor.m_c[i] << (8 - total_bits));
scaledLow.m_c[i] |= (scaledLow.m_c[i] >> total_bits);
assert(scaledLow.m_c[i] <= 255);
scaledHigh.m_c[i] = (xMaxColor.m_c[i] << (8 - total_bits));
scaledHigh.m_c[i] |= (scaledHigh.m_c[i] >> total_bits);
assert(scaledHigh.m_c[i] <= 255);
}
float err0 = 0, err1 = 0;
for (uint32_t i = 0; i < total_comps; i++)
{
err0 += basisu::squaref(scaledLow.m_c[i] - xl[i] * 255.0f);
err1 += basisu::squaref(scaledHigh.m_c[i] - xh[i] * 255.0f);
}
if (err0 < best_err0)
{
best_err0 = err0;
best_pbits[0] = p;
bestMinColor.m_c[0] = xMinColor.m_c[0] >> 1;
bestMinColor.m_c[1] = xMinColor.m_c[1] >> 1;
bestMinColor.m_c[2] = xMinColor.m_c[2] >> 1;
bestMinColor.m_c[3] = xMinColor.m_c[3] >> 1;
}
if (err1 < best_err1)
{
best_err1 = err1;
best_pbits[1] = p;
bestMaxColor.m_c[0] = xMaxColor.m_c[0] >> 1;
bestMaxColor.m_c[1] = xMaxColor.m_c[1] >> 1;
bestMaxColor.m_c[2] = xMaxColor.m_c[2] >> 1;
bestMaxColor.m_c[3] = xMaxColor.m_c[3] >> 1;
}
}
}
bool transcode_uastc_to_astc(const uastc_block& src_blk, void* pDst)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, true, false))
return false;
bool success = false;
if (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
pack_astc_solid_block(pDst, unpacked_src_blk.m_solid_color);
success = true;
}
else
{
success = pack_astc_block(static_cast<uint32_t*>(pDst), &unpacked_src_blk.m_astc, unpacked_src_blk.m_mode);
}
return success;
}
bool transcode_uastc_to_bc7(const unpacked_uastc_block& unpacked_src_blk, bc7_optimization_results& dst_blk)
{
memset(&dst_blk, 0, sizeof(dst_blk));
const uint32_t mode = unpacked_src_blk.m_mode;
const uint32_t endpoint_range = g_uastc_mode_endpoint_ranges[mode];
const uint32_t total_comps = g_uastc_mode_comps[mode];
switch (mode)
{
case 0:
case 5:
case 10:
case 12:
case 14:
case 15:
case 18:
{
// MODE 0: DualPlane: 0, WeightRange: 8 (16), Subsets: 1, EndpointRange: 19 (192) - BC7 MODE6 RGB
// MODE 5: DualPlane: 0, WeightRange : 5 (8), Subsets : 1, EndpointRange : 20 (256) - BC7 MODE6 RGB
// MODE 10 DualPlane: 0, WeightRange: 8 (16), Subsets: 1, EndpointRange: 13 (48) - BC7 MODE6
// MODE 12: DualPlane: 0, WeightRange : 5 (8), Subsets : 1, EndpointRange : 19 (192) - BC7 MODE6
// MODE 14: DualPlane: 0, WeightRange : 2 (4), Subsets : 1, EndpointRange : 20 (256) - BC7 MODE6
// MODE 18: DualPlane: 0, WeightRange : 11 (32), Subsets : 1, CEM : 8, EndpointRange : 11 (32) - BC7 MODE6
// MODE 15: DualPlane: 0, WeightRange : 8 (16), Subsets : 1, CEM : 4 (LA Direct), EndpointRange : 20 (256) - BC7 MODE6
dst_blk.m_mode = 6;
float xl[4], xh[4];
if (total_comps == 2)
{
xl[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0]].m_unquant / 255.0f;
xh[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1]].m_unquant / 255.0f;
xl[1] = xl[0];
xh[1] = xh[0];
xl[2] = xl[0];
xh[2] = xh[0];
xl[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2]].m_unquant / 255.0f;
xh[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3]].m_unquant / 255.0f;
}
else
{
xl[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0]].m_unquant / 255.0f;
xl[1] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2]].m_unquant / 255.0f;
xl[2] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[4]].m_unquant / 255.0f;
xh[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1]].m_unquant / 255.0f;
xh[1] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3]].m_unquant / 255.0f;
xh[2] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[5]].m_unquant / 255.0f;
if (total_comps == 4)
{
xl[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[6]].m_unquant / 255.0f;
xh[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[7]].m_unquant / 255.0f;
}
else
{
xl[3] = 1.0f;
xh[3] = 1.0f;
}
}
uint32_t best_pbits[2];
color_quad_u8 bestMinColor, bestMaxColor;
determine_unique_pbits((total_comps == 2) ? 4 : total_comps, 7, xl, xh, bestMinColor, bestMaxColor, best_pbits);
dst_blk.m_low[0] = bestMinColor;
dst_blk.m_high[0] = bestMaxColor;
if (total_comps == 3)
{
dst_blk.m_low[0].m_c[3] = 127;
dst_blk.m_high[0].m_c[3] = 127;
}
dst_blk.m_pbits[0][0] = best_pbits[0];
dst_blk.m_pbits[0][1] = best_pbits[1];
if (mode == 18)
{
const uint8_t s_bc7_5_to_4[32] = { 0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 8, 9, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15 };
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = s_bc7_5_to_4[unpacked_src_blk.m_astc.m_weights[i]];
}
else if (mode == 14)
{
const uint8_t s_bc7_2_to_4[4] = { 0, 5, 10, 15 };
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = s_bc7_2_to_4[unpacked_src_blk.m_astc.m_weights[i]];
}
else if ((mode == 5) || (mode == 12))
{
const uint8_t s_bc7_3_to_4[8] = { 0, 2, 4, 6, 9, 11, 13, 15 };
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = s_bc7_3_to_4[unpacked_src_blk.m_astc.m_weights[i]];
}
else
{
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
}
break;
}
case 1:
{
// DualPlane: 0, WeightRange : 2 (4), Subsets : 1, EndpointRange : 20 (256) - BC7 MODE3
// Mode 1 uses endpoint range 20 - no need to use ASTC dequant tables.
dst_blk.m_mode = 3;
float xl[4], xh[4];
xl[0] = unpacked_src_blk.m_astc.m_endpoints[0] / 255.0f;
xl[1] = unpacked_src_blk.m_astc.m_endpoints[2] / 255.0f;
xl[2] = unpacked_src_blk.m_astc.m_endpoints[4] / 255.0f;
xl[3] = 1.0f;
xh[0] = unpacked_src_blk.m_astc.m_endpoints[1] / 255.0f;
xh[1] = unpacked_src_blk.m_astc.m_endpoints[3] / 255.0f;
xh[2] = unpacked_src_blk.m_astc.m_endpoints[5] / 255.0f;
xh[3] = 1.0f;
uint32_t best_pbits[2];
color_quad_u8 bestMinColor, bestMaxColor;
memset(&bestMinColor, 0, sizeof(bestMinColor));
memset(&bestMaxColor, 0, sizeof(bestMaxColor));
determine_unique_pbits(3, 7, xl, xh, bestMinColor, bestMaxColor, best_pbits);
for (uint32_t i = 0; i < 3; i++)
{
dst_blk.m_low[0].m_c[i] = bestMinColor.m_c[i];
dst_blk.m_high[0].m_c[i] = bestMaxColor.m_c[i];
dst_blk.m_low[1].m_c[i] = bestMinColor.m_c[i];
dst_blk.m_high[1].m_c[i] = bestMaxColor.m_c[i];
}
dst_blk.m_pbits[0][0] = best_pbits[0];
dst_blk.m_pbits[0][1] = best_pbits[1];
dst_blk.m_pbits[1][0] = best_pbits[0];
dst_blk.m_pbits[1][1] = best_pbits[1];
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case 2:
{
// 2. DualPlane: 0, WeightRange : 5 (8), Subsets : 2, EndpointRange : 8 (16) - BC7 MODE1
dst_blk.m_mode = 1;
dst_blk.m_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_bc7;
const bool invert_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_invert;
float xl[4], xh[4];
xl[3] = 1.0f;
xh[3] = 1.0f;
for (uint32_t subset = 0; subset < 2; subset++)
{
for (uint32_t i = 0; i < 3; i++)
{
uint32_t v = unpacked_src_blk.m_astc.m_endpoints[i * 2 + subset * 6];
v = (v << 4) | v;
xl[i] = v / 255.0f;
v = unpacked_src_blk.m_astc.m_endpoints[i * 2 + subset * 6 + 1];
v = (v << 4) | v;
xh[i] = v / 255.0f;
}
uint32_t best_pbits[2] = { 0, 0 };
color_quad_u8 bestMinColor, bestMaxColor;
memset(&bestMinColor, 0, sizeof(bestMinColor));
memset(&bestMaxColor, 0, sizeof(bestMaxColor));
determine_shared_pbits(3, 6, xl, xh, bestMinColor, bestMaxColor, best_pbits);
const uint32_t bc7_subset_index = invert_partition ? (1 - subset) : subset;
for (uint32_t i = 0; i < 3; i++)
{
dst_blk.m_low[bc7_subset_index].m_c[i] = bestMinColor.m_c[i];
dst_blk.m_high[bc7_subset_index].m_c[i] = bestMaxColor.m_c[i];
}
dst_blk.m_pbits[bc7_subset_index][0] = best_pbits[0];
} // subset
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case 3:
{
// DualPlane: 0, WeightRange : 2 (4), Subsets : 3, EndpointRange : 7 (12) - BC7 MODE2
dst_blk.m_mode = 2;
dst_blk.m_partition = g_astc_bc7_common_partitions3[unpacked_src_blk.m_common_pattern].m_bc7;
const uint32_t perm = g_astc_bc7_common_partitions3[unpacked_src_blk.m_common_pattern].m_astc_to_bc7_perm;
for (uint32_t subset = 0; subset < 3; subset++)
{
for (uint32_t comp = 0; comp < 3; comp++)
{
uint32_t lo = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[comp * 2 + 0 + subset * 6]].m_unquant;
uint32_t hi = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[comp * 2 + 1 + subset * 6]].m_unquant;
// TODO: I think this can be improved by using tables like Basis Universal does with ETC1S conversion.
lo = (lo * 31 + 127) / 255;
hi = (hi * 31 + 127) / 255;
const uint32_t bc7_subset_index = g_astc_to_bc7_partition_index_perm_tables[perm][subset];
dst_blk.m_low[bc7_subset_index].m_c[comp] = (uint8_t)lo;
dst_blk.m_high[bc7_subset_index].m_c[comp] = (uint8_t)hi;
}
}
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case 4:
{
// 4. DualPlane: 0, WeightRange: 2 (4), Subsets: 2, EndpointRange: 12 (40) - BC7 MODE3
dst_blk.m_mode = 3;
dst_blk.m_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_bc7;
const bool invert_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_invert;
float xl[4], xh[4];
xl[3] = 1.0f;
xh[3] = 1.0f;
for (uint32_t subset = 0; subset < 2; subset++)
{
for (uint32_t i = 0; i < 3; i++)
{
xl[i] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[i * 2 + subset * 6]].m_unquant / 255.0f;
xh[i] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[i * 2 + subset * 6 + 1]].m_unquant / 255.0f;
}
uint32_t best_pbits[2] = { 0, 0 };
color_quad_u8 bestMinColor, bestMaxColor;
memset(&bestMinColor, 0, sizeof(bestMinColor));
memset(&bestMaxColor, 0, sizeof(bestMaxColor));
determine_unique_pbits(3, 7, xl, xh, bestMinColor, bestMaxColor, best_pbits);
const uint32_t bc7_subset_index = invert_partition ? (1 - subset) : subset;
for (uint32_t i = 0; i < 3; i++)
{
dst_blk.m_low[bc7_subset_index].m_c[i] = bestMinColor.m_c[i];
dst_blk.m_high[bc7_subset_index].m_c[i] = bestMaxColor.m_c[i];
}
dst_blk.m_low[bc7_subset_index].m_c[3] = 127;
dst_blk.m_high[bc7_subset_index].m_c[3] = 127;
dst_blk.m_pbits[bc7_subset_index][0] = best_pbits[0];
dst_blk.m_pbits[bc7_subset_index][1] = best_pbits[1];
} // subset
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case 6:
case 11:
case 13:
case 17:
{
// MODE 6: DualPlane: 1, WeightRange : 2 (4), Subsets : 1, EndpointRange : 18 (160) - BC7 MODE5 RGB
// MODE 11: DualPlane: 1, WeightRange: 2 (4), Subsets: 1, EndpointRange: 13 (48) - BC7 MODE5
// MODE 13: DualPlane: 1, WeightRange: 0 (2), Subsets : 1, EndpointRange : 20 (256) - BC7 MODE5
// MODE 17: DualPlane: 1, WeightRange: 2 (4), Subsets: 1, CEM: 4 (LA Direct), EndpointRange: 20 (256) - BC7 MODE5
dst_blk.m_mode = 5;
dst_blk.m_rotation = (unpacked_src_blk.m_astc.m_ccs + 1) & 3;
if (total_comps == 2)
{
assert(unpacked_src_blk.m_astc.m_ccs == 3);
dst_blk.m_low->m_c[0] = (uint8_t)((g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0]].m_unquant * 127 + 127) / 255);
dst_blk.m_high->m_c[0] = (uint8_t)((g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1]].m_unquant * 127 + 127) / 255);
dst_blk.m_low->m_c[1] = dst_blk.m_low->m_c[0];
dst_blk.m_high->m_c[1] = dst_blk.m_high->m_c[0];
dst_blk.m_low->m_c[2] = dst_blk.m_low->m_c[0];
dst_blk.m_high->m_c[2] = dst_blk.m_high->m_c[0];
dst_blk.m_low->m_c[3] = (uint8_t)(g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2]].m_unquant);
dst_blk.m_high->m_c[3] = (uint8_t)(g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3]].m_unquant);
}
else
{
for (uint32_t astc_comp = 0; astc_comp < 4; astc_comp++)
{
uint32_t bc7_comp = astc_comp;
// ASTC and BC7 handle dual plane component rotations differently:
// ASTC: 2nd plane separately interpolates the CCS channel.
// BC7: 2nd plane channel is swapped with alpha, 2nd plane controls alpha interpolation, then we swap alpha with the desired channel.
if (astc_comp == (uint32_t)unpacked_src_blk.m_astc.m_ccs)
bc7_comp = 3;
else if (astc_comp == 3)
bc7_comp = unpacked_src_blk.m_astc.m_ccs;
uint32_t l = 255, h = 255;
if (astc_comp < total_comps)
{
l = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[astc_comp * 2 + 0]].m_unquant;
h = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[astc_comp * 2 + 1]].m_unquant;
}
if (bc7_comp < 3)
{
l = (l * 127 + 127) / 255;
h = (h * 127 + 127) / 255;
}
dst_blk.m_low->m_c[bc7_comp] = (uint8_t)l;
dst_blk.m_high->m_c[bc7_comp] = (uint8_t)h;
}
}
if (mode == 13)
{
for (uint32_t i = 0; i < 16; i++)
{
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i * 2] ? 3 : 0;
dst_blk.m_alpha_selectors[i] = unpacked_src_blk.m_astc.m_weights[i * 2 + 1] ? 3 : 0;
}
}
else
{
for (uint32_t i = 0; i < 16; i++)
{
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i * 2];
dst_blk.m_alpha_selectors[i] = unpacked_src_blk.m_astc.m_weights[i * 2 + 1];
}
}
break;
}
case 7:
{
// DualPlane: 0, WeightRange : 2 (4), Subsets : 2, EndpointRange : 12 (40) - BC7 MODE2
dst_blk.m_mode = 2;
dst_blk.m_partition = g_bc7_3_astc2_common_partitions[unpacked_src_blk.m_common_pattern].m_bc73;
const uint32_t common_pattern_k = g_bc7_3_astc2_common_partitions[unpacked_src_blk.m_common_pattern].k;
for (uint32_t bc7_part = 0; bc7_part < 3; bc7_part++)
{
const uint32_t astc_part = bc7_convert_partition_index_3_to_2(bc7_part, common_pattern_k);
for (uint32_t c = 0; c < 3; c++)
{
dst_blk.m_low[bc7_part].m_c[c] = (g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[c * 2 + 0 + astc_part * 6]].m_unquant * 31 + 127) / 255;
dst_blk.m_high[bc7_part].m_c[c] = (g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[c * 2 + 1 + astc_part * 6]].m_unquant * 31 + 127) / 255;
}
}
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
case UASTC_MODE_INDEX_SOLID_COLOR:
{
// Void-Extent: Solid Color RGBA (BC7 MODE5 or MODE6)
const color32& solid_color = unpacked_src_blk.m_solid_color;
uint32_t best_err0 = g_bc7_mode_6_optimal_endpoints[solid_color.r][0].m_error + g_bc7_mode_6_optimal_endpoints[solid_color.g][0].m_error +
g_bc7_mode_6_optimal_endpoints[solid_color.b][0].m_error + g_bc7_mode_6_optimal_endpoints[solid_color.a][0].m_error;
uint32_t best_err1 = g_bc7_mode_6_optimal_endpoints[solid_color.r][1].m_error + g_bc7_mode_6_optimal_endpoints[solid_color.g][1].m_error +
g_bc7_mode_6_optimal_endpoints[solid_color.b][1].m_error + g_bc7_mode_6_optimal_endpoints[solid_color.a][1].m_error;
if (best_err0 > 0 && best_err1 > 0)
{
dst_blk.m_mode = 5;
for (uint32_t c = 0; c < 3; c++)
{
dst_blk.m_low[0].m_c[c] = g_bc7_mode_5_optimal_endpoints[solid_color.c[c]].m_lo;
dst_blk.m_high[0].m_c[c] = g_bc7_mode_5_optimal_endpoints[solid_color.c[c]].m_hi;
}
memset(dst_blk.m_selectors, BC7ENC_MODE_5_OPTIMAL_INDEX, 16);
dst_blk.m_low[0].m_c[3] = solid_color.c[3];
dst_blk.m_high[0].m_c[3] = solid_color.c[3];
//memset(dst_blk.m_alpha_selectors, 0, 16);
}
else
{
dst_blk.m_mode = 6;
uint32_t best_p = 0;
if (best_err1 < best_err0)
best_p = 1;
for (uint32_t c = 0; c < 4; c++)
{
dst_blk.m_low[0].m_c[c] = g_bc7_mode_6_optimal_endpoints[solid_color.c[c]][best_p].m_lo;
dst_blk.m_high[0].m_c[c] = g_bc7_mode_6_optimal_endpoints[solid_color.c[c]][best_p].m_hi;
}
dst_blk.m_pbits[0][0] = best_p;
dst_blk.m_pbits[0][1] = best_p;
memset(dst_blk.m_selectors, BC7ENC_MODE_6_OPTIMAL_INDEX, 16);
}
break;
}
case 9:
case 16:
{
// 9. DualPlane: 0, WeightRange : 2 (4), Subsets : 2, EndpointRange : 8 (16) - BC7 MODE7
// 16. DualPlane: 0, WeightRange: 2 (4), Subsets: 2, CEM: 4 (LA Direct), EndpointRange: 20 (256) - BC7 MODE7
dst_blk.m_mode = 7;
dst_blk.m_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_bc7;
const bool invert_partition = g_astc_bc7_common_partitions2[unpacked_src_blk.m_common_pattern].m_invert;
for (uint32_t astc_subset = 0; astc_subset < 2; astc_subset++)
{
float xl[4], xh[4];
if (total_comps == 2)
{
xl[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0 + astc_subset * 4]].m_unquant / 255.0f;
xh[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1 + astc_subset * 4]].m_unquant / 255.0f;
xl[1] = xl[0];
xh[1] = xh[0];
xl[2] = xl[0];
xh[2] = xh[0];
xl[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2 + astc_subset * 4]].m_unquant / 255.0f;
xh[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3 + astc_subset * 4]].m_unquant / 255.0f;
}
else
{
xl[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[0 + astc_subset * 8]].m_unquant / 255.0f;
xl[1] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[2 + astc_subset * 8]].m_unquant / 255.0f;
xl[2] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[4 + astc_subset * 8]].m_unquant / 255.0f;
xl[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[6 + astc_subset * 8]].m_unquant / 255.0f;
xh[0] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[1 + astc_subset * 8]].m_unquant / 255.0f;
xh[1] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[3 + astc_subset * 8]].m_unquant / 255.0f;
xh[2] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[5 + astc_subset * 8]].m_unquant / 255.0f;
xh[3] = g_astc_unquant[endpoint_range][unpacked_src_blk.m_astc.m_endpoints[7 + astc_subset * 8]].m_unquant / 255.0f;
}
uint32_t best_pbits[2] = { 0, 0 };
color_quad_u8 bestMinColor, bestMaxColor;
memset(&bestMinColor, 0, sizeof(bestMinColor));
memset(&bestMaxColor, 0, sizeof(bestMaxColor));
determine_unique_pbits(4, 5, xl, xh, bestMinColor, bestMaxColor, best_pbits);
const uint32_t bc7_subset_index = invert_partition ? (1 - astc_subset) : astc_subset;
dst_blk.m_low[bc7_subset_index] = bestMinColor;
dst_blk.m_high[bc7_subset_index] = bestMaxColor;
dst_blk.m_pbits[bc7_subset_index][0] = best_pbits[0];
dst_blk.m_pbits[bc7_subset_index][1] = best_pbits[1];
} // astc_subset
for (uint32_t i = 0; i < 16; i++)
dst_blk.m_selectors[i] = unpacked_src_blk.m_astc.m_weights[i];
break;
}
default:
return false;
}
return true;
}
bool transcode_uastc_to_bc7(const uastc_block& src_blk, bc7_optimization_results& dst_blk)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false, false))
return false;
return transcode_uastc_to_bc7(unpacked_src_blk, dst_blk);
}
bool transcode_uastc_to_bc7(const uastc_block& src_blk, void* pDst)
{
bc7_optimization_results temp;
if (!transcode_uastc_to_bc7(src_blk, temp))
return false;
encode_bc7_block(pDst, &temp);
return true;
}
color32 apply_etc1_bias(const color32 &block_color, uint32_t bias, uint32_t limit, uint32_t subblock)
{
color32 result;
for (uint32_t c = 0; c < 3; c++)
{
static const int s_divs[3] = { 1, 3, 9 };
int delta = 0;
switch (bias)
{
case 2: delta = subblock ? 0 : ((c == 0) ? -1 : 0); break;
case 5: delta = subblock ? 0 : ((c == 1) ? -1 : 0); break;
case 6: delta = subblock ? 0 : ((c == 2) ? -1 : 0); break;
case 7: delta = subblock ? 0 : ((c == 0) ? 1 : 0); break;
case 11: delta = subblock ? 0 : ((c == 1) ? 1 : 0); break;
case 15: delta = subblock ? 0 : ((c == 2) ? 1 : 0); break;
case 18: delta = subblock ? ((c == 0) ? -1 : 0) : 0; break;
case 19: delta = subblock ? ((c == 1) ? -1 : 0) : 0; break;
case 20: delta = subblock ? ((c == 2) ? -1 : 0) : 0; break;
case 21: delta = subblock ? ((c == 0) ? 1 : 0) : 0; break;
case 24: delta = subblock ? ((c == 1) ? 1 : 0) : 0; break;
case 8: delta = subblock ? ((c == 2) ? 1 : 0) : 0; break;
case 10: delta = -2; break;
case 27: delta = subblock ? 0 : -1; break;
case 28: delta = subblock ? -1 : 1; break;
case 29: delta = subblock ? 1 : 0; break;
case 30: delta = subblock ? -1 : 0; break;
case 31: delta = subblock ? 0 : 1; break;
default:
delta = ((bias / s_divs[c]) % 3) - 1;
break;
}
int v = block_color[c];
if (v == 0)
{
if (delta == -2)
v += 3;
else
v += delta + 1;
}
else if (v == (int)limit)
{
v += (delta - 1);
}
else
{
v += delta;
if ((v < 0) || (v > (int)limit))
v = (v - delta) - delta;
}
assert(v >= 0);
assert(v <= (int)limit);
result[c] = (uint8_t)v;
}
return result;
}
static void etc1_determine_selectors(decoder_etc_block& dst_blk, const color32* pSource_pixels, uint32_t first_subblock, uint32_t last_subblock)
{
static const uint8_t s_tran[4] = { 1, 0, 2, 3 };
uint16_t l_bitmask = 0;
uint16_t h_bitmask = 0;
for (uint32_t subblock = first_subblock; subblock < last_subblock; subblock++)
{
color32 block_colors[4];
dst_blk.get_block_colors(block_colors, subblock);
uint32_t block_y[4];
for (uint32_t i = 0; i < 4; i++)
block_y[i] = block_colors[i][0] * 54 + block_colors[i][1] * 183 + block_colors[i][2] * 19;
const uint32_t block_y01 = block_y[0] + block_y[1];
const uint32_t block_y12 = block_y[1] + block_y[2];
const uint32_t block_y23 = block_y[2] + block_y[3];
// X0 X0 X0 X0 X1 X1 X1 X1 X2 X2 X2 X2 X3 X3 X3 X3
// Y0 Y1 Y2 Y3 Y0 Y1 Y2 Y3 Y0 Y1 Y2 Y3 Y0 Y1 Y2 Y3
if (dst_blk.get_flip_bit())
{
uint32_t ofs = subblock * 2;
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const color32& c = pSource_pixels[x + (subblock * 2 + y) * 4];
const uint32_t l = c[0] * 108 + c[1] * 366 + c[2] * 38;
uint32_t t = s_tran[(l < block_y01) + (l < block_y12) + (l < block_y23)];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
ofs += 4;
}
ofs = (int)ofs + 1 - 4 * 4;
}
}
else
{
uint32_t ofs = (subblock * 2) * 4;
for (uint32_t x = 0; x < 2; x++)
{
for (uint32_t y = 0; y < 4; y++)
{
const color32& c = pSource_pixels[subblock * 2 + x + y * 4];
const uint32_t l = c[0] * 108 + c[1] * 366 + c[2] * 38;
uint32_t t = s_tran[(l < block_y01) + (l < block_y12) + (l < block_y23)];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
++ofs;
}
}
}
}
dst_blk.m_bytes[7] = (uint8_t)(l_bitmask);
dst_blk.m_bytes[6] = (uint8_t)(l_bitmask >> 8);
dst_blk.m_bytes[5] = (uint8_t)(h_bitmask);
dst_blk.m_bytes[4] = (uint8_t)(h_bitmask >> 8);
}
static const uint8_t s_etc1_solid_selectors[4][4] = { { 255, 255, 255, 255 }, { 255, 255, 0, 0 }, { 0, 0, 0, 0 }, {0, 0, 255, 255 } };
struct etc_coord2
{
uint8_t m_x, m_y;
};
// [flip][subblock][pixel_index]
const etc_coord2 g_etc1_pixel_coords[2][2][8] =
{
{
{
{ 0, 0 }, { 0, 1 }, { 0, 2 }, { 0, 3 },
{ 1, 0 }, { 1, 1 }, { 1, 2 }, { 1, 3 }
},
{
{ 2, 0 }, { 2, 1 }, { 2, 2 }, { 2, 3 },
{ 3, 0 }, { 3, 1 }, { 3, 2 }, { 3, 3 }
}
},
{
{
{ 0, 0 }, { 1, 0 }, { 2, 0 }, { 3, 0 },
{ 0, 1 }, { 1, 1 }, { 2, 1 }, { 3, 1 }
},
{
{ 0, 2 }, { 1, 2 }, { 2, 2 }, { 3, 2 },
{ 0, 3 }, { 1, 3 }, { 2, 3 }, { 3, 3 }
},
}
};
void transcode_uastc_to_etc1(unpacked_uastc_block& unpacked_src_blk, color32 block_pixels[4][4], void* pDst)
{
decoder_etc_block& dst_blk = *static_cast<decoder_etc_block*>(pDst);
if (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
dst_blk.m_bytes[3] = (uint8_t)((unpacked_src_blk.m_etc1_diff << 1) | (unpacked_src_blk.m_etc1_inten0 << 5) | (unpacked_src_blk.m_etc1_inten0 << 2));
if (unpacked_src_blk.m_etc1_diff)
{
dst_blk.m_bytes[0] = (uint8_t)(unpacked_src_blk.m_etc1_r << 3);
dst_blk.m_bytes[1] = (uint8_t)(unpacked_src_blk.m_etc1_g << 3);
dst_blk.m_bytes[2] = (uint8_t)(unpacked_src_blk.m_etc1_b << 3);
}
else
{
dst_blk.m_bytes[0] = (uint8_t)(unpacked_src_blk.m_etc1_r | (unpacked_src_blk.m_etc1_r << 4));
dst_blk.m_bytes[1] = (uint8_t)(unpacked_src_blk.m_etc1_g | (unpacked_src_blk.m_etc1_g << 4));
dst_blk.m_bytes[2] = (uint8_t)(unpacked_src_blk.m_etc1_b | (unpacked_src_blk.m_etc1_b << 4));
}
memcpy(dst_blk.m_bytes + 4, &s_etc1_solid_selectors[unpacked_src_blk.m_etc1_selector][0], 4);
return;
}
const bool flip = unpacked_src_blk.m_etc1_flip != 0;
const bool diff = unpacked_src_blk.m_etc1_diff != 0;
dst_blk.m_bytes[3] = (uint8_t)((int)flip | (diff << 1) | (unpacked_src_blk.m_etc1_inten0 << 5) | (unpacked_src_blk.m_etc1_inten1 << 2));
const uint32_t limit = diff ? 31 : 15;
color32 block_colors[2];
for (uint32_t subset = 0; subset < 2; subset++)
{
uint32_t avg_color[3];
memset(avg_color, 0, sizeof(avg_color));
for (uint32_t j = 0; j < 8; j++)
{
const etc_coord2& c = g_etc1_pixel_coords[flip][subset][j];
avg_color[0] += block_pixels[c.m_y][c.m_x].r;
avg_color[1] += block_pixels[c.m_y][c.m_x].g;
avg_color[2] += block_pixels[c.m_y][c.m_x].b;
} // j
block_colors[subset][0] = (uint8_t)((avg_color[0] * limit + 1020) / (8 * 255));
block_colors[subset][1] = (uint8_t)((avg_color[1] * limit + 1020) / (8 * 255));
block_colors[subset][2] = (uint8_t)((avg_color[2] * limit + 1020) / (8 * 255));
block_colors[subset][3] = 0;
if (g_uastc_mode_has_etc1_bias[unpacked_src_blk.m_mode])
{
block_colors[subset] = apply_etc1_bias(block_colors[subset], unpacked_src_blk.m_etc1_bias, limit, subset);
}
} // subset
if (diff)
{
int dr = block_colors[1].r - block_colors[0].r;
int dg = block_colors[1].g - block_colors[0].g;
int db = block_colors[1].b - block_colors[0].b;
dr = basisu::clamp<int>(dr, cETC1ColorDeltaMin, cETC1ColorDeltaMax);
dg = basisu::clamp<int>(dg, cETC1ColorDeltaMin, cETC1ColorDeltaMax);
db = basisu::clamp<int>(db, cETC1ColorDeltaMin, cETC1ColorDeltaMax);
if (dr < 0) dr += 8;
if (dg < 0) dg += 8;
if (db < 0) db += 8;
dst_blk.m_bytes[0] = (uint8_t)((block_colors[0].r << 3) | dr);
dst_blk.m_bytes[1] = (uint8_t)((block_colors[0].g << 3) | dg);
dst_blk.m_bytes[2] = (uint8_t)((block_colors[0].b << 3) | db);
}
else
{
dst_blk.m_bytes[0] = (uint8_t)(block_colors[1].r | (block_colors[0].r << 4));
dst_blk.m_bytes[1] = (uint8_t)(block_colors[1].g | (block_colors[0].g << 4));
dst_blk.m_bytes[2] = (uint8_t)(block_colors[1].b | (block_colors[0].b << 4));
}
etc1_determine_selectors(dst_blk, &block_pixels[0][0], 0, 2);
}
bool transcode_uastc_to_etc1(const uastc_block& src_blk, void* pDst)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
color32 block_pixels[4][4];
if (unpacked_src_blk.m_mode != UASTC_MODE_INDEX_SOLID_COLOR)
{
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
}
transcode_uastc_to_etc1(unpacked_src_blk, block_pixels, pDst);
return true;
}
static inline int gray_distance2(const uint8_t c, int y)
{
int gray_dist = (int)c - y;
return gray_dist * gray_dist;
}
static bool pack_etc1_y_estimate_flipped(const uint8_t* pSrc_pixels,
int& upper_avg, int& lower_avg, int& left_avg, int& right_avg)
{
int sums[2][2];
#define GET_XY(x, y) pSrc_pixels[(x) + ((y) * 4)]
sums[0][0] = GET_XY(0, 0) + GET_XY(0, 1) + GET_XY(1, 0) + GET_XY(1, 1);
sums[1][0] = GET_XY(2, 0) + GET_XY(2, 1) + GET_XY(3, 0) + GET_XY(3, 1);
sums[0][1] = GET_XY(0, 2) + GET_XY(0, 3) + GET_XY(1, 2) + GET_XY(1, 3);
sums[1][1] = GET_XY(2, 2) + GET_XY(2, 3) + GET_XY(3, 2) + GET_XY(3, 3);
upper_avg = (sums[0][0] + sums[1][0] + 4) / 8;
lower_avg = (sums[0][1] + sums[1][1] + 4) / 8;
left_avg = (sums[0][0] + sums[0][1] + 4) / 8;
right_avg = (sums[1][0] + sums[1][1] + 4) / 8;
#undef GET_XY
#define GET_XY(x, y, a) gray_distance2(pSrc_pixels[(x) + ((y) * 4)], a)
int upper_gray_dist = 0, lower_gray_dist = 0, left_gray_dist = 0, right_gray_dist = 0;
for (uint32_t i = 0; i < 4; i++)
{
for (uint32_t j = 0; j < 2; j++)
{
upper_gray_dist += GET_XY(i, j, upper_avg);
lower_gray_dist += GET_XY(i, 2 + j, lower_avg);
left_gray_dist += GET_XY(j, i, left_avg);
right_gray_dist += GET_XY(2 + j, i, right_avg);
}
}
#undef GET_XY
int upper_lower_sum = upper_gray_dist + lower_gray_dist;
int left_right_sum = left_gray_dist + right_gray_dist;
return upper_lower_sum < left_right_sum;
}
// Base Sel Table
// XXXXX XX XXX
static const uint16_t g_etc1_y_solid_block_configs[256] =
{
0,781,64,161,260,192,33,131,96,320,65,162,261,193,34,291,97,224,66,163,262,194,35,549,98,4,67,653,164,195,523,36,99,5,578,68,165,353,196,37,135,100,324,69,166,354,197,38,295,101,228,70,167,
355,198,39,553,102,8,71,608,168,199,527,40,103,9,582,72,169,357,200,41,139,104,328,73,170,358,201,42,299,105,232,74,171,359,202,43,557,106,12,75,612,172,203,531,44,107,13,586,76,173,361,
204,45,143,108,332,77,174,362,205,46,303,109,236,78,175,363,206,47,561,110,16,79,616,176,207,535,48,111,17,590,80,177,365,208,49,147,112,336,81,178,366,209,50,307,113,240,82,179,367,210,
51,565,114,20,83,620,180,211,539,52,115,21,594,84,181,369,212,53,151,116,340,85,182,370,213,54,311,117,244,86,183,371,214,55,569,118,24,87,624,184,215,543,56,119,25,598,88,185,373,216,57,
155,120,344,89,186,374,217,58,315,121,248,90,187,375,218,59,573,122,28,91,628,188,219,754,60,123,29,602,92,189,377,220,61,159,124,348,93,190,378,221,62,319,125,252,94,191,379,222,63,882,126
};
// individual
// table base sel0 sel1 sel2 sel3
static const uint16_t g_etc1_y_solid_block_4i_configs[256] =
{
0xA000,0xA800,0x540B,0xAA01,0xAA01,0xFE00,0xFF00,0xFF00,0x8,0x5515,0x5509,0x5509,0xAA03,0x5508,0x5508,0x9508,0xA508,0xA908,0xAA08,0x5513,0xAA09,0xAA09,0xAA05,0xFF08,0xFF08,0x10,0x551D,0x5511,0x5511,
0xAA0B,0x5510,0x5510,0x9510,0xA510,0xA910,0xAA10,0x551B,0xAA11,0xAA11,0xAA0D,0xFF10,0xFF10,0x18,0x5525,0x5519,0x5519,0xAA13,0x5518,0x5518,0x9518,0xA518,0xA918,0xAA18,0x5523,0xAA19,0xAA19,0xAA15,
0xFF18,0xFF18,0x20,0x552D,0x5521,0x5521,0xAA1B,0x5520,0x5520,0x9520,0xA520,0xA920,0xAA20,0x552B,0xAA21,0xAA21,0xAA1D,0xFF20,0xFF20,0x28,0x5535,0x5529,0x5529,0xAA23,0x5528,0x5528,0x9528,0xA528,0xA928,
0xAA28,0x5533,0xAA29,0xAA29,0xAA25,0xFF28,0xFF28,0x30,0x553D,0x5531,0x5531,0xAA2B,0x5530,0x5530,0x9530,0xA530,0xA930,0xAA30,0x553B,0xAA31,0xAA31,0xAA2D,0xFF30,0xFF30,0x38,0x5545,0x5539,0x5539,0xAA33,
0x5538,0x5538,0x9538,0xA538,0xA938,0xAA38,0x5543,0xAA39,0xAA39,0xAA35,0xFF38,0xFF38,0x40,0x554D,0x5541,0x5541,0xAA3B,0x5540,0x5540,0x9540,0xA540,0xA940,0xAA40,0x554B,0xAA41,0xAA41,0xAA3D,0xFF40,0xFF40,
0x48,0x5555,0x5549,0x5549,0xAA43,0x5548,0x5548,0x9548,0xA548,0xA948,0xAA48,0x5553,0xAA49,0xAA49,0xAA45,0xFF48,0xFF48,0x50,0x555D,0x5551,0x5551,0xAA4B,0x5550,0x5550,0x9550,0xA550,0xA950,0xAA50,0x555B,
0xAA51,0xAA51,0xAA4D,0xFF50,0xFF50,0x58,0x5565,0x5559,0x5559,0xAA53,0x5558,0x5558,0x9558,0xA558,0xA958,0xAA58,0x5563,0xAA59,0xAA59,0xAA55,0xFF58,0xFF58,0x60,0x556D,0x5561,0x5561,0xAA5B,0x5560,0x5560,
0x9560,0xA560,0xA960,0xAA60,0x556B,0xAA61,0xAA61,0xAA5D,0xFF60,0xFF60,0x68,0x5575,0x5569,0x5569,0xAA63,0x5568,0x5568,0x9568,0xA568,0xA968,0xAA68,0x5573,0xAA69,0xAA69,0xAA65,0xFF68,0xFF68,0x70,0x557D,
0x5571,0x5571,0xAA6B,0x5570,0x5570,0x9570,0xA570,0xA970,0xAA70,0x557B,0xAA71,0xAA71,0xAA6D,0xFF70,0xFF70,0x78,0x78,0x5579,0x5579,0xAA73,0x5578,0x9578,0x2578,0xE6E,0x278
};
static const uint16_t g_etc1_y_solid_block_2i_configs[256] =
{
0x416,0x800,0xA00,0x50B,0xA01,0xA01,0xF00,0xF00,0xF00,0x8,0x515,0x509,0x509,0xA03,0x508,0x508,0xF01,0xF01,0xA08,0xA08,0x513,0xA09,0xA09,0xA05,0xF08,0xF08,0x10,0x51D,0x511,0x511,0xA0B,0x510,0x510,0xF09,
0xF09,0xA10,0xA10,0x51B,0xA11,0xA11,0xA0D,0xF10,0xF10,0x18,0x525,0x519,0x519,0xA13,0x518,0x518,0xF11,0xF11,0xA18,0xA18,0x523,0xA19,0xA19,0xA15,0xF18,0xF18,0x20,0x52D,0x521,0x521,0xA1B,0x520,0x520,0xF19,
0xF19,0xA20,0xA20,0x52B,0xA21,0xA21,0xA1D,0xF20,0xF20,0x28,0x535,0x529,0x529,0xA23,0x528,0x528,0xF21,0xF21,0xA28,0xA28,0x533,0xA29,0xA29,0xA25,0xF28,0xF28,0x30,0x53D,0x531,0x531,0xA2B,0x530,0x530,0xF29,
0xF29,0xA30,0xA30,0x53B,0xA31,0xA31,0xA2D,0xF30,0xF30,0x38,0x545,0x539,0x539,0xA33,0x538,0x538,0xF31,0xF31,0xA38,0xA38,0x543,0xA39,0xA39,0xA35,0xF38,0xF38,0x40,0x54D,0x541,0x541,0xA3B,0x540,0x540,0xF39,
0xF39,0xA40,0xA40,0x54B,0xA41,0xA41,0xA3D,0xF40,0xF40,0x48,0x555,0x549,0x549,0xA43,0x548,0x548,0xF41,0xF41,0xA48,0xA48,0x553,0xA49,0xA49,0xA45,0xF48,0xF48,0x50,0x55D,0x551,0x551,0xA4B,0x550,0x550,0xF49,
0xF49,0xA50,0xA50,0x55B,0xA51,0xA51,0xA4D,0xF50,0xF50,0x58,0x565,0x559,0x559,0xA53,0x558,0x558,0xF51,0xF51,0xA58,0xA58,0x563,0xA59,0xA59,0xA55,0xF58,0xF58,0x60,0x56D,0x561,0x561,0xA5B,0x560,0x560,0xF59,
0xF59,0xA60,0xA60,0x56B,0xA61,0xA61,0xA5D,0xF60,0xF60,0x68,0x575,0x569,0x569,0xA63,0x568,0x568,0xF61,0xF61,0xA68,0xA68,0x573,0xA69,0xA69,0xA65,0xF68,0xF68,0x70,0x57D,0x571,0x571,0xA6B,0x570,0x570,0xF69,
0xF69,0xA70,0xA70,0x57B,0xA71,0xA71,0xA6D,0xF70,0xF70,0x78,0x78,0x579,0x579,0xA73,0x578,0x578,0xE6E,0x278
};
static const uint16_t g_etc1_y_solid_block_1i_configs[256] =
{
0x0,0x116,0x200,0x200,0x10B,0x201,0x201,0x300,0x300,0x8,0x115,0x109,0x109,0x203,0x108,0x108,0x114,0x301,0x204,0x208,0x208,0x113,0x209,0x209,0x205,0x308,0x10,0x11D,0x111,0x111,0x20B,0x110,0x110,0x11C,0x309,
0x20C,0x210,0x210,0x11B,0x211,0x211,0x20D,0x310,0x18,0x125,0x119,0x119,0x213,0x118,0x118,0x124,0x311,0x214,0x218,0x218,0x123,0x219,0x219,0x215,0x318,0x20,0x12D,0x121,0x121,0x21B,0x120,0x120,0x12C,0x319,0x21C,
0x220,0x220,0x12B,0x221,0x221,0x21D,0x320,0x28,0x135,0x129,0x129,0x223,0x128,0x128,0x134,0x321,0x224,0x228,0x228,0x133,0x229,0x229,0x225,0x328,0x30,0x13D,0x131,0x131,0x22B,0x130,0x130,0x13C,0x329,0x22C,0x230,
0x230,0x13B,0x231,0x231,0x22D,0x330,0x38,0x145,0x139,0x139,0x233,0x138,0x138,0x144,0x331,0x234,0x238,0x238,0x143,0x239,0x239,0x235,0x338,0x40,0x14D,0x141,0x141,0x23B,0x140,0x140,0x14C,0x339,0x23C,0x240,0x240,
0x14B,0x241,0x241,0x23D,0x340,0x48,0x155,0x149,0x149,0x243,0x148,0x148,0x154,0x341,0x244,0x248,0x248,0x153,0x249,0x249,0x245,0x348,0x50,0x15D,0x151,0x151,0x24B,0x150,0x150,0x15C,0x349,0x24C,0x250,0x250,0x15B,
0x251,0x251,0x24D,0x350,0x58,0x165,0x159,0x159,0x253,0x158,0x158,0x164,0x351,0x254,0x258,0x258,0x163,0x259,0x259,0x255,0x358,0x60,0x16D,0x161,0x161,0x25B,0x160,0x160,0x16C,0x359,0x25C,0x260,0x260,0x16B,0x261,
0x261,0x25D,0x360,0x68,0x175,0x169,0x169,0x263,0x168,0x168,0x174,0x361,0x264,0x268,0x268,0x173,0x269,0x269,0x265,0x368,0x70,0x17D,0x171,0x171,0x26B,0x170,0x170,0x17C,0x369,0x26C,0x270,0x270,0x17B,0x271,0x271,
0x26D,0x370,0x78,0x78,0x179,0x179,0x273,0x178,0x178,0x26E,0x278
};
// We don't have any useful hints to accelerate single channel ETC1, so we need to real-time encode from scratch.
bool transcode_uastc_to_etc1(const uastc_block& src_blk, void* pDst, uint32_t channel)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
#if 0
for (uint32_t individ = 0; individ < 2; individ++)
{
uint32_t overall_error = 0;
for (uint32_t c = 0; c < 256; c++)
{
uint32_t best_err = UINT32_MAX;
uint32_t best_individ = 0;
uint32_t best_base = 0;
uint32_t best_sels[4] = { 0,0,0,0 };
uint32_t best_table = 0;
const uint32_t limit = individ ? 16 : 32;
for (uint32_t table = 0; table < 8; table++)
{
for (uint32_t base = 0; base < limit; base++)
{
uint32_t total_e = 0;
uint32_t sels[4] = { 0,0,0,0 };
const uint32_t N = 4;
for (uint32_t i = 0; i < basisu::minimum<uint32_t>(N, (256 - c)); i++)
{
uint32_t best_sel_e = UINT32_MAX;
uint32_t best_sel = 0;
for (uint32_t sel = 0; sel < 4; sel++)
{
int val = individ ? ((base << 4) | base) : ((base << 3) | (base >> 2));
val = clamp255(val + g_etc1_inten_tables[table][sel]);
int e = iabs(val - clamp255(c + i));
if (e < best_sel_e)
{
best_sel_e = e;
best_sel = sel;
}
} // sel
sels[i] = best_sel;
total_e += best_sel_e * best_sel_e;
} // i
if (total_e < best_err)
{
best_err = total_e;
best_individ = individ;
best_base = base;
memcpy(best_sels, sels, sizeof(best_sels));
best_table = table;
}
} // base
} // table
//printf("%u: %u,%u,%u,%u,%u,%u,%u,%u\n", c, best_err, best_individ, best_table, best_base, best_sels[0], best_sels[1], best_sels[2], best_sels[3]);
uint32_t encoded = best_table | (best_base << 3) |
(best_sels[0] << 8) |
(best_sels[1] << 10) |
(best_sels[2] << 12) |
(best_sels[3] << 14);
printf("0x%X,", encoded);
overall_error += best_err;
} // c
printf("\n");
printf("Overall error: %u\n", overall_error);
} // individ
exit(0);
#endif
#if 0
for (uint32_t individ = 0; individ < 2; individ++)
{
uint32_t overall_error = 0;
for (uint32_t c = 0; c < 256; c++)
{
uint32_t best_err = UINT32_MAX;
uint32_t best_individ = 0;
uint32_t best_base = 0;
uint32_t best_sels[4] = { 0,0,0,0 };
uint32_t best_table = 0;
const uint32_t limit = individ ? 16 : 32;
for (uint32_t table = 0; table < 8; table++)
{
for (uint32_t base = 0; base < limit; base++)
{
uint32_t total_e = 0;
uint32_t sels[4] = { 0,0,0,0 };
const uint32_t N = 1;
for (uint32_t i = 0; i < basisu::minimum<uint32_t>(N, (256 - c)); i++)
{
uint32_t best_sel_e = UINT32_MAX;
uint32_t best_sel = 0;
for (uint32_t sel = 0; sel < 4; sel++)
{
int val = individ ? ((base << 4) | base) : ((base << 3) | (base >> 2));
val = clamp255(val + g_etc1_inten_tables[table][sel]);
int e = iabs(val - clamp255(c + i));
if (e < best_sel_e)
{
best_sel_e = e;
best_sel = sel;
}
} // sel
sels[i] = best_sel;
total_e += best_sel_e * best_sel_e;
} // i
if (total_e < best_err)
{
best_err = total_e;
best_individ = individ;
best_base = base;
memcpy(best_sels, sels, sizeof(best_sels));
best_table = table;
}
} // base
} // table
//printf("%u: %u,%u,%u,%u,%u,%u,%u,%u\n", c, best_err, best_individ, best_table, best_base, best_sels[0], best_sels[1], best_sels[2], best_sels[3]);
uint32_t encoded = best_table | (best_base << 3) |
(best_sels[0] << 8) |
(best_sels[1] << 10) |
(best_sels[2] << 12) |
(best_sels[3] << 14);
printf("0x%X,", encoded);
overall_error += best_err;
} // c
printf("\n");
printf("Overall error: %u\n", overall_error);
} // individ
exit(0);
#endif
decoder_etc_block& dst_blk = *static_cast<decoder_etc_block*>(pDst);
if (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
const uint32_t y = unpacked_src_blk.m_solid_color[channel];
const uint32_t encoded_config = g_etc1_y_solid_block_configs[y];
const uint32_t base = encoded_config & 31;
const uint32_t sel = (encoded_config >> 5) & 3;
const uint32_t table = encoded_config >> 7;
dst_blk.m_bytes[3] = (uint8_t)(2 | (table << 5) | (table << 2));
dst_blk.m_bytes[0] = (uint8_t)(base << 3);
dst_blk.m_bytes[1] = (uint8_t)(base << 3);
dst_blk.m_bytes[2] = (uint8_t)(base << 3);
memcpy(dst_blk.m_bytes + 4, &s_etc1_solid_selectors[sel][0], 4);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
uint8_t block_y[4][4];
for (uint32_t i = 0; i < 16; i++)
((uint8_t*)block_y)[i] = ((color32*)block_pixels)[i][channel];
int upper_avg, lower_avg, left_avg, right_avg;
bool flip = pack_etc1_y_estimate_flipped(&block_y[0][0], upper_avg, lower_avg, left_avg, right_avg);
// non-flipped: | |
// vs.
// flipped: --
// --
uint32_t low[2] = { 255, 255 }, high[2] = { 0, 0 };
if (flip)
{
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t v = block_y[y][x];
low[0] = basisu::minimum(low[0], v);
high[0] = basisu::maximum(high[0], v);
}
}
for (uint32_t y = 2; y < 4; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const uint32_t v = block_y[y][x];
low[1] = basisu::minimum(low[1], v);
high[1] = basisu::maximum(high[1], v);
}
}
}
else
{
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 2; x++)
{
const uint32_t v = block_y[y][x];
low[0] = basisu::minimum(low[0], v);
high[0] = basisu::maximum(high[0], v);
}
}
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 2; x < 4; x++)
{
const uint32_t v = block_y[y][x];
low[1] = basisu::minimum(low[1], v);
high[1] = basisu::maximum(high[1], v);
}
}
}
const uint32_t range[2] = { high[0] - low[0], high[1] - low[1] };
dst_blk.m_bytes[3] = (uint8_t)((int)flip);
if ((range[0] <= 3) && (range[1] <= 3))
{
// This is primarily for better gradients.
dst_blk.m_bytes[0] = 0;
dst_blk.m_bytes[1] = 0;
dst_blk.m_bytes[2] = 0;
uint16_t l_bitmask = 0, h_bitmask = 0;
for (uint32_t subblock = 0; subblock < 2; subblock++)
{
const uint32_t encoded = (range[subblock] == 0) ? g_etc1_y_solid_block_1i_configs[low[subblock]] : ((range[subblock] < 2) ? g_etc1_y_solid_block_2i_configs[low[subblock]] : g_etc1_y_solid_block_4i_configs[low[subblock]]);
const uint32_t table = encoded & 7;
const uint32_t base = (encoded >> 3) & 31;
assert(base <= 15);
const uint32_t sels[4] = { (encoded >> 8) & 3, (encoded >> 10) & 3, (encoded >> 12) & 3, (encoded >> 14) & 3 };
dst_blk.m_bytes[3] |= (uint8_t)(table << (subblock ? 2 : 5));
const uint32_t sv = base << (subblock ? 0 : 4);
dst_blk.m_bytes[0] |= (uint8_t)(sv);
dst_blk.m_bytes[1] |= (uint8_t)(sv);
dst_blk.m_bytes[2] |= (uint8_t)(sv);
if (flip)
{
uint32_t ofs = subblock * 2;
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t t = block_y[y + subblock * 2][x];
assert(t >= low[subblock] && t <= high[subblock]);
t -= low[subblock];
assert(t <= 3);
t = g_selector_index_to_etc1[sels[t]];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
ofs += 4;
}
ofs = (int)ofs + 1 - 4 * 4;
}
}
else
{
uint32_t ofs = (subblock * 2) * 4;
for (uint32_t x = 0; x < 2; x++)
{
for (uint32_t y = 0; y < 4; y++)
{
uint32_t t = block_y[y][x + subblock * 2];
assert(t >= low[subblock] && t <= high[subblock]);
t -= low[subblock];
assert(t <= 3);
t = g_selector_index_to_etc1[sels[t]];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
++ofs;
}
}
}
} // subblock
dst_blk.m_bytes[7] = (uint8_t)(l_bitmask);
dst_blk.m_bytes[6] = (uint8_t)(l_bitmask >> 8);
dst_blk.m_bytes[5] = (uint8_t)(h_bitmask);
dst_blk.m_bytes[4] = (uint8_t)(h_bitmask >> 8);
return true;
}
uint32_t y0 = ((flip ? upper_avg : left_avg) * 31 + 127) / 255;
uint32_t y1 = ((flip ? lower_avg : right_avg) * 31 + 127) / 255;
bool diff = true;
int dy = y1 - y0;
if ((dy < cETC1ColorDeltaMin) || (dy > cETC1ColorDeltaMax))
{
diff = false;
y0 = ((flip ? upper_avg : left_avg) * 15 + 127) / 255;
y1 = ((flip ? lower_avg : right_avg) * 15 + 127) / 255;
dst_blk.m_bytes[0] = (uint8_t)(y1 | (y0 << 4));
dst_blk.m_bytes[1] = (uint8_t)(y1 | (y0 << 4));
dst_blk.m_bytes[2] = (uint8_t)(y1 | (y0 << 4));
}
else
{
dy = basisu::clamp<int>(dy, cETC1ColorDeltaMin, cETC1ColorDeltaMax);
y1 = y0 + dy;
if (dy < 0) dy += 8;
dst_blk.m_bytes[0] = (uint8_t)((y0 << 3) | dy);
dst_blk.m_bytes[1] = (uint8_t)((y0 << 3) | dy);
dst_blk.m_bytes[2] = (uint8_t)((y0 << 3) | dy);
dst_blk.m_bytes[3] |= 2;
}
const uint32_t base_y[2] = { diff ? ((y0 << 3) | (y0 >> 2)) : ((y0 << 4) | y0), diff ? ((y1 << 3) | (y1 >> 2)) : ((y1 << 4) | y1) };
uint32_t enc_range[2];
for (uint32_t subset = 0; subset < 2; subset++)
{
const int pos = basisu::iabs((int)high[subset] - (int)base_y[subset]);
const int neg = basisu::iabs((int)base_y[subset] - (int)low[subset]);
enc_range[subset] = basisu::maximum(pos, neg);
}
uint16_t l_bitmask = 0, h_bitmask = 0;
for (uint32_t subblock = 0; subblock < 2; subblock++)
{
if ((!diff) && (range[subblock] <= 3))
{
const uint32_t encoded = (range[subblock] == 0) ? g_etc1_y_solid_block_1i_configs[low[subblock]] : ((range[subblock] < 2) ? g_etc1_y_solid_block_2i_configs[low[subblock]] : g_etc1_y_solid_block_4i_configs[low[subblock]]);
const uint32_t table = encoded & 7;
const uint32_t base = (encoded >> 3) & 31;
assert(base <= 15);
const uint32_t sels[4] = { (encoded >> 8) & 3, (encoded >> 10) & 3, (encoded >> 12) & 3, (encoded >> 14) & 3 };
dst_blk.m_bytes[3] |= (uint8_t)(table << (subblock ? 2 : 5));
const uint32_t mask = ~(0xF << (subblock ? 0 : 4));
dst_blk.m_bytes[0] &= mask;
dst_blk.m_bytes[1] &= mask;
dst_blk.m_bytes[2] &= mask;
const uint32_t sv = base << (subblock ? 0 : 4);
dst_blk.m_bytes[0] |= (uint8_t)(sv);
dst_blk.m_bytes[1] |= (uint8_t)(sv);
dst_blk.m_bytes[2] |= (uint8_t)(sv);
if (flip)
{
uint32_t ofs = subblock * 2;
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t t = block_y[y + subblock * 2][x];
assert(t >= low[subblock] && t <= high[subblock]);
t -= low[subblock];
assert(t <= 3);
t = g_selector_index_to_etc1[sels[t]];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
ofs += 4;
}
ofs = (int)ofs + 1 - 4 * 4;
}
}
else
{
uint32_t ofs = (subblock * 2) * 4;
for (uint32_t x = 0; x < 2; x++)
{
for (uint32_t y = 0; y < 4; y++)
{
uint32_t t = block_y[y][x + subblock * 2];
assert(t >= low[subblock] && t <= high[subblock]);
t -= low[subblock];
assert(t <= 3);
t = g_selector_index_to_etc1[sels[t]];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
++ofs;
}
}
}
continue;
} // if
uint32_t best_err = UINT32_MAX;
uint8_t best_sels[8];
uint32_t best_inten = 0;
const int base = base_y[subblock];
const int low_limit = -base;
const int high_limit = 255 - base;
assert(low_limit <= 0 && high_limit >= 0);
uint32_t inten_table_mask = 0xFF;
const uint32_t er = enc_range[subblock];
// Each one of these tables is expensive to evaluate, so let's only examine the ones we know may be useful.
if (er <= 51)
{
inten_table_mask = 0xF;
if (er > 22)
inten_table_mask &= ~(1 << 0);
if ((er < 4) || (er > 39))
inten_table_mask &= ~(1 << 1);
if (er < 9)
inten_table_mask &= ~(1 << 2);
if (er < 12)
inten_table_mask &= ~(1 << 3);
}
else
{
inten_table_mask &= ~((1 << 0) | (1 << 1));
if (er > 60)
inten_table_mask &= ~(1 << 2);
if (er > 89)
inten_table_mask &= ~(1 << 3);
if (er > 120)
inten_table_mask &= ~(1 << 4);
if (er > 136)
inten_table_mask &= ~(1 << 5);
if (er > 174)
inten_table_mask &= ~(1 << 6);
}
for (uint32_t inten = 0; inten < 8; inten++)
{
if ((inten_table_mask & (1 << inten)) == 0)
continue;
const int t0 = basisu::maximum(low_limit, g_etc1_inten_tables[inten][0]);
const int t1 = basisu::maximum(low_limit, g_etc1_inten_tables[inten][1]);
const int t2 = basisu::minimum(high_limit, g_etc1_inten_tables[inten][2]);
const int t3 = basisu::minimum(high_limit, g_etc1_inten_tables[inten][3]);
assert((t0 <= t1) && (t1 <= t2) && (t2 <= t3));
const int tv[4] = { t2, t3, t1, t0 };
const int thresh01 = t0 + t1;
const int thresh12 = t1 + t2;
const int thresh23 = t2 + t3;
assert(thresh01 <= thresh12 && thresh12 <= thresh23);
static const uint8_t s_table[4] = { 1, 0, 2, 3 };
uint32_t total_err = 0;
uint8_t sels[8];
if (flip)
{
if (((int)high[subblock] - base) * 2 < thresh01)
{
memset(sels, 3, 8);
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const int delta = (int)block_y[y + subblock * 2][x] - base;
const uint32_t c = 3;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
else if (((int)low[subblock] - base) * 2 >= thresh23)
{
memset(sels, 1, 8);
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const int delta = (int)block_y[y + subblock * 2][x] - base;
const uint32_t c = 1;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
else
{
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
const int delta = (int)block_y[y + subblock * 2][x] - base;
const int delta2 = delta * 2;
uint32_t c = s_table[(delta2 < thresh01) + (delta2 < thresh12) + (delta2 < thresh23)];
sels[y * 4 + x] = (uint8_t)c;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
}
else
{
if (((int)high[subblock] - base) * 2 < thresh01)
{
memset(sels, 3, 8);
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 2; x++)
{
const int delta = (int)block_y[y][x + subblock * 2] - base;
const uint32_t c = 3;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
else if (((int)low[subblock] - base) * 2 >= thresh23)
{
memset(sels, 1, 8);
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 2; x++)
{
const int delta = (int)block_y[y][x + subblock * 2] - base;
const uint32_t c = 1;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
else
{
for (uint32_t y = 0; y < 4; y++)
{
for (uint32_t x = 0; x < 2; x++)
{
const int delta = (int)block_y[y][x + subblock * 2] - base;
const int delta2 = delta * 2;
uint32_t c = s_table[(delta2 < thresh01) + (delta2 < thresh12) + (delta2 < thresh23)];
sels[y * 2 + x] = (uint8_t)c;
uint32_t e = basisu::iabs(tv[c] - delta);
total_err += e * e;
}
if (total_err >= best_err)
break;
}
}
}
if (total_err < best_err)
{
best_err = total_err;
best_inten = inten;
memcpy(best_sels, sels, 8);
}
} // inten
//g_inten_hist[best_inten][enc_range[subblock]]++;
dst_blk.m_bytes[3] |= (uint8_t)(best_inten << (subblock ? 2 : 5));
if (flip)
{
uint32_t ofs = subblock * 2;
for (uint32_t y = 0; y < 2; y++)
{
for (uint32_t x = 0; x < 4; x++)
{
uint32_t t = best_sels[y * 4 + x];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
ofs += 4;
}
ofs = (int)ofs + 1 - 4 * 4;
}
}
else
{
uint32_t ofs = (subblock * 2) * 4;
for (uint32_t x = 0; x < 2; x++)
{
for (uint32_t y = 0; y < 4; y++)
{
uint32_t t = best_sels[y * 2 + x];
assert(ofs < 16);
l_bitmask |= ((t & 1) << ofs);
h_bitmask |= ((t >> 1) << ofs);
++ofs;
}
}
}
} // subblock
dst_blk.m_bytes[7] = (uint8_t)(l_bitmask);
dst_blk.m_bytes[6] = (uint8_t)(l_bitmask >> 8);
dst_blk.m_bytes[5] = (uint8_t)(h_bitmask);
dst_blk.m_bytes[4] = (uint8_t)(h_bitmask >> 8);
return true;
}
const uint32_t ETC2_EAC_MIN_VALUE_SELECTOR = 3, ETC2_EAC_MAX_VALUE_SELECTOR = 7;
void transcode_uastc_to_etc2_eac_a8(unpacked_uastc_block& unpacked_src_blk, color32 block_pixels[4][4], void* pDst)
{
eac_block& dst = *static_cast<eac_block*>(pDst);
const color32* pSrc_pixels = &block_pixels[0][0];
if ((!g_uastc_mode_has_alpha[unpacked_src_blk.m_mode]) || (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR))
{
const uint32_t a = (unpacked_src_blk.m_mode == UASTC_MODE_INDEX_SOLID_COLOR) ? unpacked_src_blk.m_solid_color[3] : 255;
dst.m_base = a;
dst.m_table = 13;
dst.m_multiplier = 1;
memcpy(dst.m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
return;
}
uint32_t min_a = 255, max_a = 0;
for (uint32_t i = 0; i < 16; i++)
{
min_a = basisu::minimum<uint32_t>(min_a, pSrc_pixels[i].a);
max_a = basisu::maximum<uint32_t>(max_a, pSrc_pixels[i].a);
}
if (min_a == max_a)
{
dst.m_base = min_a;
dst.m_table = 13;
dst.m_multiplier = 1;
memcpy(dst.m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
return;
}
const uint32_t table = unpacked_src_blk.m_etc2_hints & 0xF;
const int multiplier = unpacked_src_blk.m_etc2_hints >> 4;
assert(multiplier >= 1);
dst.m_multiplier = multiplier;
dst.m_table = table;
const float range = (float)(g_eac_modifier_table[dst.m_table][ETC2_EAC_MAX_VALUE_SELECTOR] - g_eac_modifier_table[dst.m_table][ETC2_EAC_MIN_VALUE_SELECTOR]);
const int center = (int)roundf(basisu::lerp((float)min_a, (float)max_a, (float)(0 - g_eac_modifier_table[dst.m_table][ETC2_EAC_MIN_VALUE_SELECTOR]) / range));
dst.m_base = center;
const int8_t* pTable = &g_eac_modifier_table[dst.m_table][0];
uint32_t vals[8];
for (uint32_t j = 0; j < 8; j++)
vals[j] = clamp255(center + (pTable[j] * multiplier));
uint64_t sels = 0;
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t a = block_pixels[i & 3][i >> 2].a;
const uint32_t err0 = (basisu::iabs(vals[0] - a) << 3) | 0;
const uint32_t err1 = (basisu::iabs(vals[1] - a) << 3) | 1;
const uint32_t err2 = (basisu::iabs(vals[2] - a) << 3) | 2;
const uint32_t err3 = (basisu::iabs(vals[3] - a) << 3) | 3;
const uint32_t err4 = (basisu::iabs(vals[4] - a) << 3) | 4;
const uint32_t err5 = (basisu::iabs(vals[5] - a) << 3) | 5;
const uint32_t err6 = (basisu::iabs(vals[6] - a) << 3) | 6;
const uint32_t err7 = (basisu::iabs(vals[7] - a) << 3) | 7;
const uint32_t min_err = basisu::minimum(basisu::minimum(basisu::minimum(basisu::minimum(basisu::minimum(basisu::minimum(err0, err1, err2), err3), err4), err5), err6), err7);
const uint64_t best_index = min_err & 7;
sels |= (best_index << (45 - i * 3));
}
dst.set_selector_bits(sels);
}
bool transcode_uastc_to_etc2_rgba(const uastc_block& src_blk, void* pDst)
{
eac_block& dst_etc2_eac_a8_blk = *static_cast<eac_block*>(pDst);
decoder_etc_block& dst_etc1_blk = static_cast<decoder_etc_block*>(pDst)[1];
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
color32 block_pixels[4][4];
if (unpacked_src_blk.m_mode != UASTC_MODE_INDEX_SOLID_COLOR)
{
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
}
transcode_uastc_to_etc2_eac_a8(unpacked_src_blk, block_pixels, &dst_etc2_eac_a8_blk);
transcode_uastc_to_etc1(unpacked_src_blk, block_pixels, &dst_etc1_blk);
return true;
}
static const uint8_t s_uastc5_to_bc1[32] = { 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1 };
static const uint8_t s_uastc4_to_bc1[16] = { 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 1, 1, 1 };
static const uint8_t s_uastc3_to_bc1[8] = { 0, 0, 2, 2, 3, 3, 1, 1 };
static const uint8_t s_uastc2_to_bc1[4] = { 0, 2, 3, 1 };
static const uint8_t s_uastc1_to_bc1[2] = { 0, 1 };
const uint8_t* s_uastc_to_bc1_weights[6] = { nullptr, s_uastc1_to_bc1, s_uastc2_to_bc1, s_uastc3_to_bc1, s_uastc4_to_bc1, s_uastc5_to_bc1 };
void encode_bc4(void* pDst, const uint8_t* pPixels, uint32_t stride)
{
uint32_t min0_v, max0_v, min1_v, max1_v,min2_v, max2_v, min3_v, max3_v;
{
min0_v = max0_v = pPixels[0 * stride];
min1_v = max1_v = pPixels[1 * stride];
min2_v = max2_v = pPixels[2 * stride];
min3_v = max3_v = pPixels[3 * stride];
}
{
uint32_t v0 = pPixels[4 * stride]; min0_v = basisu::minimum(min0_v, v0); max0_v = basisu::maximum(max0_v, v0);
uint32_t v1 = pPixels[5 * stride]; min1_v = basisu::minimum(min1_v, v1); max1_v = basisu::maximum(max1_v, v1);
uint32_t v2 = pPixels[6 * stride]; min2_v = basisu::minimum(min2_v, v2); max2_v = basisu::maximum(max2_v, v2);
uint32_t v3 = pPixels[7 * stride]; min3_v = basisu::minimum(min3_v, v3); max3_v = basisu::maximum(max3_v, v3);
}
{
uint32_t v0 = pPixels[8 * stride]; min0_v = basisu::minimum(min0_v, v0); max0_v = basisu::maximum(max0_v, v0);
uint32_t v1 = pPixels[9 * stride]; min1_v = basisu::minimum(min1_v, v1); max1_v = basisu::maximum(max1_v, v1);
uint32_t v2 = pPixels[10 * stride]; min2_v = basisu::minimum(min2_v, v2); max2_v = basisu::maximum(max2_v, v2);
uint32_t v3 = pPixels[11 * stride]; min3_v = basisu::minimum(min3_v, v3); max3_v = basisu::maximum(max3_v, v3);
}
{
uint32_t v0 = pPixels[12 * stride]; min0_v = basisu::minimum(min0_v, v0); max0_v = basisu::maximum(max0_v, v0);
uint32_t v1 = pPixels[13 * stride]; min1_v = basisu::minimum(min1_v, v1); max1_v = basisu::maximum(max1_v, v1);
uint32_t v2 = pPixels[14 * stride]; min2_v = basisu::minimum(min2_v, v2); max2_v = basisu::maximum(max2_v, v2);
uint32_t v3 = pPixels[15 * stride]; min3_v = basisu::minimum(min3_v, v3); max3_v = basisu::maximum(max3_v, v3);
}
const uint32_t min_v = basisu::minimum(min0_v, min1_v, min2_v, min3_v);
const uint32_t max_v = basisu::maximum(max0_v, max1_v, max2_v, max3_v);
uint8_t* pDst_bytes = static_cast<uint8_t*>(pDst);
pDst_bytes[0] = (uint8_t)max_v;
pDst_bytes[1] = (uint8_t)min_v;
if (max_v == min_v)
{
memset(pDst_bytes + 2, 0, 6);
return;
}
const uint32_t delta = max_v - min_v;
// min_v is now 0. Compute thresholds between values by scaling max_v. It's x14 because we're adding two x7 scale factors.
const int t0 = delta * 13;
const int t1 = delta * 11;
const int t2 = delta * 9;
const int t3 = delta * 7;
const int t4 = delta * 5;
const int t5 = delta * 3;
const int t6 = delta * 1;
// BC4 floors in its divisions, which we compensate for with the 4 bias.
// This function is optimal for all possible inputs (i.e. it outputs the same results as checking all 8 values and choosing the closest one).
const int bias = 4 - min_v * 14;
static const uint32_t s_tran0[8] = { 1U , 7U , 6U , 5U , 4U , 3U , 2U , 0U };
static const uint32_t s_tran1[8] = { 1U << 3U, 7U << 3U, 6U << 3U, 5U << 3U, 4U << 3U, 3U << 3U, 2U << 3U, 0U << 3U };
static const uint32_t s_tran2[8] = { 1U << 6U, 7U << 6U, 6U << 6U, 5U << 6U, 4U << 6U, 3U << 6U, 2U << 6U, 0U << 6U };
static const uint32_t s_tran3[8] = { 1U << 9U, 7U << 9U, 6U << 9U, 5U << 9U, 4U << 9U, 3U << 9U, 2U << 9U, 0U << 9U };
uint64_t a0, a1, a2, a3;
{
const int v0 = pPixels[0 * stride] * 14 + bias;
const int v1 = pPixels[1 * stride] * 14 + bias;
const int v2 = pPixels[2 * stride] * 14 + bias;
const int v3 = pPixels[3 * stride] * 14 + bias;
a0 = s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)];
a1 = s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)];
a2 = s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)];
a3 = s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)];
}
{
const int v0 = pPixels[4 * stride] * 14 + bias;
const int v1 = pPixels[5 * stride] * 14 + bias;
const int v2 = pPixels[6 * stride] * 14 + bias;
const int v3 = pPixels[7 * stride] * 14 + bias;
a0 |= (s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)] << 12U);
a1 |= (s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)] << 12U);
a2 |= (s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)] << 12U);
a3 |= (s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)] << 12U);
}
{
const int v0 = pPixels[8 * stride] * 14 + bias;
const int v1 = pPixels[9 * stride] * 14 + bias;
const int v2 = pPixels[10 * stride] * 14 + bias;
const int v3 = pPixels[11 * stride] * 14 + bias;
a0 |= (((uint64_t)s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)]) << 24U);
a1 |= (((uint64_t)s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)]) << 24U);
a2 |= (((uint64_t)s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)]) << 24U);
a3 |= (((uint64_t)s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)]) << 24U);
}
{
const int v0 = pPixels[12 * stride] * 14 + bias;
const int v1 = pPixels[13 * stride] * 14 + bias;
const int v2 = pPixels[14 * stride] * 14 + bias;
const int v3 = pPixels[15 * stride] * 14 + bias;
a0 |= (((uint64_t)s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)]) << 36U);
a1 |= (((uint64_t)s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)]) << 36U);
a2 |= (((uint64_t)s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)]) << 36U);
a3 |= (((uint64_t)s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)]) << 36U);
}
const uint64_t f = a0 | a1 | a2 | a3;
pDst_bytes[2] = (uint8_t)f;
pDst_bytes[3] = (uint8_t)(f >> 8U);
pDst_bytes[4] = (uint8_t)(f >> 16U);
pDst_bytes[5] = (uint8_t)(f >> 24U);
pDst_bytes[6] = (uint8_t)(f >> 32U);
pDst_bytes[7] = (uint8_t)(f >> 40U);
}
static void bc1_find_sels(const color32 *pSrc_pixels, uint32_t lr, uint32_t lg, uint32_t lb, uint32_t hr, uint32_t hg, uint32_t hb, uint8_t sels[16])
{
uint32_t block_r[4], block_g[4], block_b[4];
block_r[0] = (lr << 3) | (lr >> 2); block_g[0] = (lg << 2) | (lg >> 4); block_b[0] = (lb << 3) | (lb >> 2);
block_r[3] = (hr << 3) | (hr >> 2); block_g[3] = (hg << 2) | (hg >> 4); block_b[3] = (hb << 3) | (hb >> 2);
block_r[1] = (block_r[0] * 2 + block_r[3]) / 3; block_g[1] = (block_g[0] * 2 + block_g[3]) / 3; block_b[1] = (block_b[0] * 2 + block_b[3]) / 3;
block_r[2] = (block_r[3] * 2 + block_r[0]) / 3; block_g[2] = (block_g[3] * 2 + block_g[0]) / 3; block_b[2] = (block_b[3] * 2 + block_b[0]) / 3;
int ar = block_r[3] - block_r[0], ag = block_g[3] - block_g[0], ab = block_b[3] - block_b[0];
int dots[4];
for (uint32_t i = 0; i < 4; i++)
dots[i] = (int)block_r[i] * ar + (int)block_g[i] * ag + (int)block_b[i] * ab;
int t0 = dots[0] + dots[1], t1 = dots[1] + dots[2], t2 = dots[2] + dots[3];
ar *= 2; ag *= 2; ab *= 2;
for (uint32_t i = 0; i < 16; i++)
{
const int d = pSrc_pixels[i].r * ar + pSrc_pixels[i].g * ag + pSrc_pixels[i].b * ab;
static const uint8_t s_sels[4] = { 3, 2, 1, 0 };
// Rounding matters here!
// d <= t0: <=, not <, to the later LS step "sees" a wider range of selectors. It matters for quality.
sels[i] = s_sels[(d <= t0) + (d < t1) + (d < t2)];
}
}
static inline void bc1_find_sels_2(const color32* pSrc_pixels, uint32_t lr, uint32_t lg, uint32_t lb, uint32_t hr, uint32_t hg, uint32_t hb, uint8_t sels[16])
{
uint32_t block_r[4], block_g[4], block_b[4];
block_r[0] = (lr << 3) | (lr >> 2); block_g[0] = (lg << 2) | (lg >> 4); block_b[0] = (lb << 3) | (lb >> 2);
block_r[3] = (hr << 3) | (hr >> 2); block_g[3] = (hg << 2) | (hg >> 4); block_b[3] = (hb << 3) | (hb >> 2);
block_r[1] = (block_r[0] * 2 + block_r[3]) / 3; block_g[1] = (block_g[0] * 2 + block_g[3]) / 3; block_b[1] = (block_b[0] * 2 + block_b[3]) / 3;
block_r[2] = (block_r[3] * 2 + block_r[0]) / 3; block_g[2] = (block_g[3] * 2 + block_g[0]) / 3; block_b[2] = (block_b[3] * 2 + block_b[0]) / 3;
int ar = block_r[3] - block_r[0], ag = block_g[3] - block_g[0], ab = block_b[3] - block_b[0];
int dots[4];
for (uint32_t i = 0; i < 4; i++)
dots[i] = (int)block_r[i] * ar + (int)block_g[i] * ag + (int)block_b[i] * ab;
int t0 = dots[0] + dots[1], t1 = dots[1] + dots[2], t2 = dots[2] + dots[3];
ar *= 2; ag *= 2; ab *= 2;
static const uint8_t s_sels[4] = { 3, 2, 1, 0 };
for (uint32_t i = 0; i < 16; i += 4)
{
const int d0 = pSrc_pixels[i+0].r * ar + pSrc_pixels[i+0].g * ag + pSrc_pixels[i+0].b * ab;
const int d1 = pSrc_pixels[i+1].r * ar + pSrc_pixels[i+1].g * ag + pSrc_pixels[i+1].b * ab;
const int d2 = pSrc_pixels[i+2].r * ar + pSrc_pixels[i+2].g * ag + pSrc_pixels[i+2].b * ab;
const int d3 = pSrc_pixels[i+3].r * ar + pSrc_pixels[i+3].g * ag + pSrc_pixels[i+3].b * ab;
sels[i+0] = s_sels[(d0 <= t0) + (d0 < t1) + (d0 < t2)];
sels[i+1] = s_sels[(d1 <= t0) + (d1 < t1) + (d1 < t2)];
sels[i+2] = s_sels[(d2 <= t0) + (d2 < t1) + (d2 < t2)];
sels[i+3] = s_sels[(d3 <= t0) + (d3 < t1) + (d3 < t2)];
}
}
struct vec3F { float c[3]; };
static bool compute_least_squares_endpoints_rgb(const color32* pColors, const uint8_t* pSelectors, vec3F* pXl, vec3F* pXh)
{
// Derived from bc7enc16's LS function.
// Least squares using normal equations: http://www.cs.cornell.edu/~bindel/class/cs3220-s12/notes/lec10.pdf
// I did this in matrix form first, expanded out all the ops, then optimized it a bit.
uint32_t uq00_r = 0, uq10_r = 0, ut_r = 0, uq00_g = 0, uq10_g = 0, ut_g = 0, uq00_b = 0, uq10_b = 0, ut_b = 0;
// This table is: 9 * (w * w), 9 * ((1.0f - w) * w), 9 * ((1.0f - w) * (1.0f - w))
// where w is [0,1/3,2/3,1]. 9 is the perfect multiplier.
static const uint32_t s_weight_vals[4] = { 0x000009, 0x010204, 0x040201, 0x090000 };
uint32_t weight_accum = 0;
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t r = pColors[i].c[0], g = pColors[i].c[1], b = pColors[i].c[2];
const uint32_t sel = pSelectors[i];
ut_r += r;
ut_g += g;
ut_b += b;
weight_accum += s_weight_vals[sel];
uq00_r += sel * r;
uq00_g += sel * g;
uq00_b += sel * b;
}
float q00_r = (float)uq00_r, q10_r = (float)uq10_r, t_r = (float)ut_r;
float q00_g = (float)uq00_g, q10_g = (float)uq10_g, t_g = (float)ut_g;
float q00_b = (float)uq00_b, q10_b = (float)uq10_b, t_b = (float)ut_b;
q10_r = t_r * 3.0f - q00_r;
q10_g = t_g * 3.0f - q00_g;
q10_b = t_b * 3.0f - q00_b;
float z00 = (float)((weight_accum >> 16) & 0xFF);
float z10 = (float)((weight_accum >> 8) & 0xFF);
float z11 = (float)(weight_accum & 0xFF);
float z01 = z10;
float det = z00 * z11 - z01 * z10;
if (fabs(det) < 1e-8f)
return false;
det = 3.0f / det;
float iz00, iz01, iz10, iz11;
iz00 = z11 * det;
iz01 = -z01 * det;
iz10 = -z10 * det;
iz11 = z00 * det;
pXl->c[0] = iz00 * q00_r + iz01 * q10_r; pXh->c[0] = iz10 * q00_r + iz11 * q10_r;
pXl->c[1] = iz00 * q00_g + iz01 * q10_g; pXh->c[1] = iz10 * q00_g + iz11 * q10_g;
pXl->c[2] = iz00 * q00_b + iz01 * q10_b; pXh->c[2] = iz10 * q00_b + iz11 * q10_b;
// Check and fix channel singularities - might not be needed, but is in UASTC's encoder.
for (uint32_t c = 0; c < 3; c++)
{
if ((pXl->c[c] < 0.0f) || (pXh->c[c] > 255.0f))
{
uint32_t lo_v = UINT32_MAX, hi_v = 0;
for (uint32_t i = 0; i < 16; i++)
{
lo_v = basisu::minimumu(lo_v, pColors[i].c[c]);
hi_v = basisu::maximumu(hi_v, pColors[i].c[c]);
}
if (lo_v == hi_v)
{
pXl->c[c] = (float)lo_v;
pXh->c[c] = (float)hi_v;
}
}
}
return true;
}
void encode_bc1_solid_block(void* pDst, uint32_t fr, uint32_t fg, uint32_t fb)
{
dxt1_block* pDst_block = static_cast<dxt1_block*>(pDst);
uint32_t mask = 0xAA;
uint32_t max16 = (g_bc1_match5_equals_1[fr].m_hi << 11) | (g_bc1_match6_equals_1[fg].m_hi << 5) | g_bc1_match5_equals_1[fb].m_hi;
uint32_t min16 = (g_bc1_match5_equals_1[fr].m_lo << 11) | (g_bc1_match6_equals_1[fg].m_lo << 5) | g_bc1_match5_equals_1[fb].m_lo;
if (min16 == max16)
{
// Always forbid 3 color blocks
// This is to guarantee that BC3 blocks never use punchthrough alpha (3 color) mode, which isn't supported on some (all?) GPU's.
mask = 0;
// Make l > h
if (min16 > 0)
min16--;
else
{
// l = h = 0
assert(min16 == max16 && max16 == 0);
max16 = 1;
min16 = 0;
mask = 0x55;
}
assert(max16 > min16);
}
if (max16 < min16)
{
std::swap(max16, min16);
mask ^= 0x55;
}
pDst_block->set_low_color(static_cast<uint16_t>(max16));
pDst_block->set_high_color(static_cast<uint16_t>(min16));
pDst_block->m_selectors[0] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[1] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[2] = static_cast<uint8_t>(mask);
pDst_block->m_selectors[3] = static_cast<uint8_t>(mask);
}
static inline uint8_t to_5(uint32_t v) { v = v * 31 + 128; return (uint8_t)((v + (v >> 8)) >> 8); }
static inline uint8_t to_6(uint32_t v) { v = v * 63 + 128; return (uint8_t)((v + (v >> 8)) >> 8); }
// Good references: squish library, stb_dxt.
void encode_bc1(void* pDst, const uint8_t* pPixels, uint32_t flags)
{
const color32* pSrc_pixels = (const color32*)pPixels;
dxt1_block* pDst_block = static_cast<dxt1_block*>(pDst);
int avg_r = -1, avg_g = 0, avg_b = 0;
int lr = 0, lg = 0, lb = 0, hr = 0, hg = 0, hb = 0;
uint8_t sels[16];
const bool use_sels = (flags & cEncodeBC1UseSelectors) != 0;
if (use_sels)
{
// Caller is jamming in their own selectors for us to try.
const uint32_t s = pDst_block->m_selectors[0] | (pDst_block->m_selectors[1] << 8) | (pDst_block->m_selectors[2] << 16) | (pDst_block->m_selectors[3] << 24);
static const uint8_t s_sel_tran[4] = { 0, 3, 1, 2 };
for (uint32_t i = 0; i < 16; i++)
sels[i] = s_sel_tran[(s >> (i * 2)) & 3];
}
else
{
const uint32_t fr = pSrc_pixels[0].r, fg = pSrc_pixels[0].g, fb = pSrc_pixels[0].b;
uint32_t j;
for (j = 1; j < 16; j++)
if ((pSrc_pixels[j].r != fr) || (pSrc_pixels[j].g != fg) || (pSrc_pixels[j].b != fb))
break;
if (j == 16)
{
encode_bc1_solid_block(pDst, fr, fg, fb);
return;
}
// Select 2 colors along the principle axis. (There must be a faster/simpler way.)
int total_r = fr, total_g = fg, total_b = fb;
int max_r = fr, max_g = fg, max_b = fb;
int min_r = fr, min_g = fg, min_b = fb;
for (uint32_t i = 1; i < 16; i++)
{
const int r = pSrc_pixels[i].r, g = pSrc_pixels[i].g, b = pSrc_pixels[i].b;
max_r = basisu::maximum(max_r, r); max_g = basisu::maximum(max_g, g); max_b = basisu::maximum(max_b, b);
min_r = basisu::minimum(min_r, r); min_g = basisu::minimum(min_g, g); min_b = basisu::minimum(min_b, b);
total_r += r; total_g += g; total_b += b;
}
avg_r = (total_r + 8) >> 4;
avg_g = (total_g + 8) >> 4;
avg_b = (total_b + 8) >> 4;
int icov[6] = { 0, 0, 0, 0, 0, 0 };
for (uint32_t i = 0; i < 16; i++)
{
int r = (int)pSrc_pixels[i].r - avg_r;
int g = (int)pSrc_pixels[i].g - avg_g;
int b = (int)pSrc_pixels[i].b - avg_b;
icov[0] += r * r;
icov[1] += r * g;
icov[2] += r * b;
icov[3] += g * g;
icov[4] += g * b;
icov[5] += b * b;
}
float cov[6];
for (uint32_t i = 0; i < 6; i++)
cov[i] = static_cast<float>(icov[i])* (1.0f / 255.0f);
#if 0
// Seems silly to use full PCA to choose 2 colors. The diff in avg. PSNR between using PCA vs. not is small (~.025 difference).
// TODO: Try 2 or 3 different normalized diagonal vectors, choose the one that results in the largest dot delta
int saxis_r = max_r - min_r;
int saxis_g = max_g - min_g;
int saxis_b = max_b - min_b;
#else
float xr = (float)(max_r - min_r);
float xg = (float)(max_g - min_g);
float xb = (float)(max_b - min_b);
//float xr = (float)(max_r - avg_r); // max-avg is nearly the same, and doesn't require computing min's
//float xg = (float)(max_g - avg_g);
//float xb = (float)(max_b - avg_b);
for (uint32_t power_iter = 0; power_iter < 4; power_iter++)
{
float r = xr * cov[0] + xg * cov[1] + xb * cov[2];
float g = xr * cov[1] + xg * cov[3] + xb * cov[4];
float b = xr * cov[2] + xg * cov[4] + xb * cov[5];
xr = r; xg = g; xb = b;
}
float k = basisu::maximum(fabsf(xr), fabsf(xg), fabsf(xb));
int saxis_r = 306, saxis_g = 601, saxis_b = 117;
if (k >= 2)
{
float m = 1024.0f / k;
saxis_r = (int)(xr * m);
saxis_g = (int)(xg * m);
saxis_b = (int)(xb * m);
}
#endif
int low_dot = INT_MAX, high_dot = INT_MIN, low_c = 0, high_c = 0;
for (uint32_t i = 0; i < 16; i++)
{
int dot = pSrc_pixels[i].r * saxis_r + pSrc_pixels[i].g * saxis_g + pSrc_pixels[i].b * saxis_b;
if (dot < low_dot)
{
low_dot = dot;
low_c = i;
}
if (dot > high_dot)
{
high_dot = dot;
high_c = i;
}
}
lr = to_5(pSrc_pixels[low_c].r);
lg = to_6(pSrc_pixels[low_c].g);
lb = to_5(pSrc_pixels[low_c].b);
hr = to_5(pSrc_pixels[high_c].r);
hg = to_6(pSrc_pixels[high_c].g);
hb = to_5(pSrc_pixels[high_c].b);
bc1_find_sels(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels);
} // if (use_sels)
const uint32_t total_ls_passes = (flags & cEncodeBC1HigherQuality) ? 3 : (flags & cEncodeBC1HighQuality ? 2 : 1);
for (uint32_t ls_pass = 0; ls_pass < total_ls_passes; ls_pass++)
{
// This is where the real magic happens. We have an array of candidate selectors, so let's use least squares to compute the optimal low/high endpoint colors.
vec3F xl, xh;
if (!compute_least_squares_endpoints_rgb(pSrc_pixels, sels, &xl, &xh))
{
if (avg_r < 0)
{
int total_r = 0, total_g = 0, total_b = 0;
for (uint32_t i = 0; i < 16; i++)
{
total_r += pSrc_pixels[i].r;
total_g += pSrc_pixels[i].g;
total_b += pSrc_pixels[i].b;
}
avg_r = (total_r + 8) >> 4;
avg_g = (total_g + 8) >> 4;
avg_b = (total_b + 8) >> 4;
}
// All selectors equal - treat it as a solid block which should always be equal or better.
lr = g_bc1_match5_equals_1[avg_r].m_hi;
lg = g_bc1_match6_equals_1[avg_g].m_hi;
lb = g_bc1_match5_equals_1[avg_b].m_hi;
hr = g_bc1_match5_equals_1[avg_r].m_lo;
hg = g_bc1_match6_equals_1[avg_g].m_lo;
hb = g_bc1_match5_equals_1[avg_b].m_lo;
// In high/higher quality mode, let it try again in case the optimal tables have caused the sels to diverge.
}
else
{
lr = basisu::clamp((int)((xl.c[0]) * (31.0f / 255.0f) + .5f), 0, 31);
lg = basisu::clamp((int)((xl.c[1]) * (63.0f / 255.0f) + .5f), 0, 63);
lb = basisu::clamp((int)((xl.c[2]) * (31.0f / 255.0f) + .5f), 0, 31);
hr = basisu::clamp((int)((xh.c[0]) * (31.0f / 255.0f) + .5f), 0, 31);
hg = basisu::clamp((int)((xh.c[1]) * (63.0f / 255.0f) + .5f), 0, 63);
hb = basisu::clamp((int)((xh.c[2]) * (31.0f / 255.0f) + .5f), 0, 31);
}
bc1_find_sels(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels);
}
uint32_t lc16 = dxt1_block::pack_unscaled_color(lr, lg, lb);
uint32_t hc16 = dxt1_block::pack_unscaled_color(hr, hg, hb);
// Always forbid 3 color blocks
if (lc16 == hc16)
{
uint8_t mask = 0;
// Make l > h
if (hc16 > 0)
hc16--;
else
{
// lc16 = hc16 = 0
assert(lc16 == hc16 && hc16 == 0);
hc16 = 0;
lc16 = 1;
mask = 0x55; // select hc16
}
assert(lc16 > hc16);
pDst_block->set_low_color(static_cast<uint16_t>(lc16));
pDst_block->set_high_color(static_cast<uint16_t>(hc16));
pDst_block->m_selectors[0] = mask;
pDst_block->m_selectors[1] = mask;
pDst_block->m_selectors[2] = mask;
pDst_block->m_selectors[3] = mask;
}
else
{
uint8_t invert_mask = 0;
if (lc16 < hc16)
{
std::swap(lc16, hc16);
invert_mask = 0x55;
}
assert(lc16 > hc16);
pDst_block->set_low_color((uint16_t)lc16);
pDst_block->set_high_color((uint16_t)hc16);
uint32_t packed_sels = 0;
static const uint8_t s_sel_trans[4] = { 0, 2, 3, 1 };
for (uint32_t i = 0; i < 16; i++)
packed_sels |= ((uint32_t)s_sel_trans[sels[i]] << (i * 2));
pDst_block->m_selectors[0] = (uint8_t)packed_sels ^ invert_mask;
pDst_block->m_selectors[1] = (uint8_t)(packed_sels >> 8) ^ invert_mask;
pDst_block->m_selectors[2] = (uint8_t)(packed_sels >> 16) ^ invert_mask;
pDst_block->m_selectors[3] = (uint8_t)(packed_sels >> 24) ^ invert_mask;
}
}
void encode_bc1_alt(void* pDst, const uint8_t* pPixels, uint32_t flags)
{
const color32* pSrc_pixels = (const color32*)pPixels;
dxt1_block* pDst_block = static_cast<dxt1_block*>(pDst);
int avg_r = -1, avg_g = 0, avg_b = 0;
int lr = 0, lg = 0, lb = 0, hr = 0, hg = 0, hb = 0;
uint8_t sels[16];
const bool use_sels = (flags & cEncodeBC1UseSelectors) != 0;
if (use_sels)
{
// Caller is jamming in their own selectors for us to try.
const uint32_t s = pDst_block->m_selectors[0] | (pDst_block->m_selectors[1] << 8) | (pDst_block->m_selectors[2] << 16) | (pDst_block->m_selectors[3] << 24);
static const uint8_t s_sel_tran[4] = { 0, 3, 1, 2 };
for (uint32_t i = 0; i < 16; i++)
sels[i] = s_sel_tran[(s >> (i * 2)) & 3];
}
else
{
const uint32_t fr = pSrc_pixels[0].r, fg = pSrc_pixels[0].g, fb = pSrc_pixels[0].b;
uint32_t j;
for (j = 1; j < 16; j++)
if ((pSrc_pixels[j].r != fr) || (pSrc_pixels[j].g != fg) || (pSrc_pixels[j].b != fb))
break;
if (j == 16)
{
encode_bc1_solid_block(pDst, fr, fg, fb);
return;
}
// Select 2 colors along the principle axis. (There must be a faster/simpler way.)
int total_r = fr, total_g = fg, total_b = fb;
int max_r = fr, max_g = fg, max_b = fb;
int min_r = fr, min_g = fg, min_b = fb;
uint32_t grayscale_flag = (fr == fg) && (fr == fb);
for (uint32_t i = 1; i < 16; i++)
{
const int r = pSrc_pixels[i].r, g = pSrc_pixels[i].g, b = pSrc_pixels[i].b;
grayscale_flag &= ((r == g) && (r == b));
max_r = basisu::maximum(max_r, r); max_g = basisu::maximum(max_g, g); max_b = basisu::maximum(max_b, b);
min_r = basisu::minimum(min_r, r); min_g = basisu::minimum(min_g, g); min_b = basisu::minimum(min_b, b);
total_r += r; total_g += g; total_b += b;
}
if (grayscale_flag)
{
// Grayscale blocks are a common enough case to specialize.
if ((max_r - min_r) < 2)
{
lr = lb = hr = hb = to_5(fr);
lg = hg = to_6(fr);
}
else
{
lr = lb = to_5(min_r);
lg = to_6(min_r);
hr = hb = to_5(max_r);
hg = to_6(max_r);
}
}
else
{
avg_r = (total_r + 8) >> 4;
avg_g = (total_g + 8) >> 4;
avg_b = (total_b + 8) >> 4;
// Find the shortest vector from a AABB corner to the block's average color.
// This is to help avoid outliers.
uint32_t dist[3][2];
dist[0][0] = basisu::square(min_r - avg_r) << 3; dist[0][1] = basisu::square(max_r - avg_r) << 3;
dist[1][0] = basisu::square(min_g - avg_g) << 3; dist[1][1] = basisu::square(max_g - avg_g) << 3;
dist[2][0] = basisu::square(min_b - avg_b) << 3; dist[2][1] = basisu::square(max_b - avg_b) << 3;
uint32_t min_d0 = (dist[0][0] + dist[1][0] + dist[2][0]);
uint32_t d4 = (dist[0][0] + dist[1][0] + dist[2][1]) | 4;
min_d0 = basisu::minimum(min_d0, d4);
uint32_t min_d1 = (dist[0][1] + dist[1][0] + dist[2][0]) | 1;
uint32_t d5 = (dist[0][1] + dist[1][0] + dist[2][1]) | 5;
min_d1 = basisu::minimum(min_d1, d5);
uint32_t d2 = (dist[0][0] + dist[1][1] + dist[2][0]) | 2;
min_d0 = basisu::minimum(min_d0, d2);
uint32_t d3 = (dist[0][1] + dist[1][1] + dist[2][0]) | 3;
min_d1 = basisu::minimum(min_d1, d3);
uint32_t d6 = (dist[0][0] + dist[1][1] + dist[2][1]) | 6;
min_d0 = basisu::minimum(min_d0, d6);
uint32_t d7 = (dist[0][1] + dist[1][1] + dist[2][1]) | 7;
min_d1 = basisu::minimum(min_d1, d7);
uint32_t min_d = basisu::minimum(min_d0, min_d1);
uint32_t best_i = min_d & 7;
int delta_r = (best_i & 1) ? (max_r - avg_r) : (avg_r - min_r);
int delta_g = (best_i & 2) ? (max_g - avg_g) : (avg_g - min_g);
int delta_b = (best_i & 4) ? (max_b - avg_b) : (avg_b - min_b);
// Note: if delta_r/g/b==0, we actually want to choose a single color, so the block average color optimization kicks in.
uint32_t low_c = 0, high_c = 0;
if ((delta_r | delta_g | delta_b) != 0)
{
// Now we have a smaller AABB going from the block's average color to a cornerpoint of the larger AABB.
// Project all pixels colors along the 4 vectors going from a smaller AABB cornerpoint to the opposite cornerpoint, find largest projection.
// One of these vectors will be a decent approximation of the block's PCA.
const int saxis0_r = delta_r, saxis0_g = delta_g, saxis0_b = delta_b;
int low_dot0 = INT_MAX, high_dot0 = INT_MIN;
int low_dot1 = INT_MAX, high_dot1 = INT_MIN;
int low_dot2 = INT_MAX, high_dot2 = INT_MIN;
int low_dot3 = INT_MAX, high_dot3 = INT_MIN;
//int low_c0, low_c1, low_c2, low_c3;
//int high_c0, high_c1, high_c2, high_c3;
for (uint32_t i = 0; i < 16; i++)
{
const int dotx = pSrc_pixels[i].r * saxis0_r;
const int doty = pSrc_pixels[i].g * saxis0_g;
const int dotz = pSrc_pixels[i].b * saxis0_b;
const int dot0 = ((dotz + dotx + doty) << 4) + i;
const int dot1 = ((dotz - dotx - doty) << 4) + i;
const int dot2 = ((dotz - dotx + doty) << 4) + i;
const int dot3 = ((dotz + dotx - doty) << 4) + i;
if (dot0 < low_dot0)
{
low_dot0 = dot0;
//low_c0 = i;
}
if ((dot0 ^ 15) > high_dot0)
{
high_dot0 = dot0 ^ 15;
//high_c0 = i;
}
if (dot1 < low_dot1)
{
low_dot1 = dot1;
//low_c1 = i;
}
if ((dot1 ^ 15) > high_dot1)
{
high_dot1 = dot1 ^ 15;
//high_c1 = i;
}
if (dot2 < low_dot2)
{
low_dot2 = dot2;
//low_c2 = i;
}
if ((dot2 ^ 15) > high_dot2)
{
high_dot2 = dot2 ^ 15;
//high_c2 = i;
}
if (dot3 < low_dot3)
{
low_dot3 = dot3;
//low_c3 = i;
}
if ((dot3 ^ 15) > high_dot3)
{
high_dot3 = dot3 ^ 15;
//high_c3 = i;
}
}
low_c = low_dot0 & 15;
high_c = ~high_dot0 & 15;
uint32_t r = (high_dot0 & ~15) - (low_dot0 & ~15);
uint32_t tr = (high_dot1 & ~15) - (low_dot1 & ~15);
if (tr > r) {
low_c = low_dot1 & 15;
high_c = ~high_dot1 & 15;
r = tr;
}
tr = (high_dot2 & ~15) - (low_dot2 & ~15);
if (tr > r) {
low_c = low_dot2 & 15;
high_c = ~high_dot2 & 15;
r = tr;
}
tr = (high_dot3 & ~15) - (low_dot3 & ~15);
if (tr > r) {
low_c = low_dot3 & 15;
high_c = ~high_dot3 & 15;
}
}
lr = to_5(pSrc_pixels[low_c].r);
lg = to_6(pSrc_pixels[low_c].g);
lb = to_5(pSrc_pixels[low_c].b);
hr = to_5(pSrc_pixels[high_c].r);
hg = to_6(pSrc_pixels[high_c].g);
hb = to_5(pSrc_pixels[high_c].b);
}
bc1_find_sels_2(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels);
} // if (use_sels)
const uint32_t total_ls_passes = (flags & cEncodeBC1HigherQuality) ? 3 : (flags & cEncodeBC1HighQuality ? 2 : 1);
for (uint32_t ls_pass = 0; ls_pass < total_ls_passes; ls_pass++)
{
int prev_lr = lr, prev_lg = lg, prev_lb = lb, prev_hr = hr, prev_hg = hg, prev_hb = hb;
// This is where the real magic happens. We have an array of candidate selectors, so let's use least squares to compute the optimal low/high endpoint colors.
vec3F xl, xh;
if (!compute_least_squares_endpoints_rgb(pSrc_pixels, sels, &xl, &xh))
{
if (avg_r < 0)
{
int total_r = 0, total_g = 0, total_b = 0;
for (uint32_t i = 0; i < 16; i++)
{
total_r += pSrc_pixels[i].r;
total_g += pSrc_pixels[i].g;
total_b += pSrc_pixels[i].b;
}
avg_r = (total_r + 8) >> 4;
avg_g = (total_g + 8) >> 4;
avg_b = (total_b + 8) >> 4;
}
// All selectors equal - treat it as a solid block which should always be equal or better.
lr = g_bc1_match5_equals_1[avg_r].m_hi;
lg = g_bc1_match6_equals_1[avg_g].m_hi;
lb = g_bc1_match5_equals_1[avg_b].m_hi;
hr = g_bc1_match5_equals_1[avg_r].m_lo;
hg = g_bc1_match6_equals_1[avg_g].m_lo;
hb = g_bc1_match5_equals_1[avg_b].m_lo;
// In high/higher quality mode, let it try again in case the optimal tables have caused the sels to diverge.
}
else
{
lr = basisu::clamp((int)((xl.c[0]) * (31.0f / 255.0f) + .5f), 0, 31);
lg = basisu::clamp((int)((xl.c[1]) * (63.0f / 255.0f) + .5f), 0, 63);
lb = basisu::clamp((int)((xl.c[2]) * (31.0f / 255.0f) + .5f), 0, 31);
hr = basisu::clamp((int)((xh.c[0]) * (31.0f / 255.0f) + .5f), 0, 31);
hg = basisu::clamp((int)((xh.c[1]) * (63.0f / 255.0f) + .5f), 0, 63);
hb = basisu::clamp((int)((xh.c[2]) * (31.0f / 255.0f) + .5f), 0, 31);
}
if ((prev_lr == lr) && (prev_lg == lg) && (prev_lb == lb) && (prev_hr == hr) && (prev_hg == hg) && (prev_hb == hb))
break;
bc1_find_sels_2(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels);
}
uint32_t lc16 = dxt1_block::pack_unscaled_color(lr, lg, lb);
uint32_t hc16 = dxt1_block::pack_unscaled_color(hr, hg, hb);
// Always forbid 3 color blocks
if (lc16 == hc16)
{
uint8_t mask = 0;
// Make l > h
if (hc16 > 0)
hc16--;
else
{
// lc16 = hc16 = 0
assert(lc16 == hc16 && hc16 == 0);
hc16 = 0;
lc16 = 1;
mask = 0x55; // select hc16
}
assert(lc16 > hc16);
pDst_block->set_low_color(static_cast<uint16_t>(lc16));
pDst_block->set_high_color(static_cast<uint16_t>(hc16));
pDst_block->m_selectors[0] = mask;
pDst_block->m_selectors[1] = mask;
pDst_block->m_selectors[2] = mask;
pDst_block->m_selectors[3] = mask;
}
else
{
uint8_t invert_mask = 0;
if (lc16 < hc16)
{
std::swap(lc16, hc16);
invert_mask = 0x55;
}
assert(lc16 > hc16);
pDst_block->set_low_color((uint16_t)lc16);
pDst_block->set_high_color((uint16_t)hc16);
uint32_t packed_sels = 0;
static const uint8_t s_sel_trans[4] = { 0, 2, 3, 1 };
for (uint32_t i = 0; i < 16; i++)
packed_sels |= ((uint32_t)s_sel_trans[sels[i]] << (i * 2));
pDst_block->m_selectors[0] = (uint8_t)packed_sels ^ invert_mask;
pDst_block->m_selectors[1] = (uint8_t)(packed_sels >> 8) ^ invert_mask;
pDst_block->m_selectors[2] = (uint8_t)(packed_sels >> 16) ^ invert_mask;
pDst_block->m_selectors[3] = (uint8_t)(packed_sels >> 24) ^ invert_mask;
}
}
// Scale the UASTC first subset endpoints and first plane's weight indices directly to BC1's - fastest.
void transcode_uastc_to_bc1_hint0(const unpacked_uastc_block& unpacked_src_blk, void* pDst)
{
const uint32_t mode = unpacked_src_blk.m_mode;
const astc_block_desc& astc_blk = unpacked_src_blk.m_astc;
dxt1_block& b = *static_cast<dxt1_block*>(pDst);
const uint32_t endpoint_range = g_uastc_mode_endpoint_ranges[mode];
const uint32_t total_comps = g_uastc_mode_comps[mode];
if (total_comps == 2)
{
const uint32_t l = g_astc_unquant[endpoint_range][astc_blk.m_endpoints[0]].m_unquant;
const uint32_t h = g_astc_unquant[endpoint_range][astc_blk.m_endpoints[1]].m_unquant;
b.set_low_color(dxt1_block::pack_color(color32(l, l, l, 255), true, 127));
b.set_high_color(dxt1_block::pack_color(color32(h, h, h, 255), true, 127));
}
else
{
b.set_low_color(dxt1_block::pack_color(
color32(g_astc_unquant[endpoint_range][astc_blk.m_endpoints[0]].m_unquant,
g_astc_unquant[endpoint_range][astc_blk.m_endpoints[2]].m_unquant,
g_astc_unquant[endpoint_range][astc_blk.m_endpoints[4]].m_unquant,
255), true, 127)
);
b.set_high_color(dxt1_block::pack_color(
color32(g_astc_unquant[endpoint_range][astc_blk.m_endpoints[1]].m_unquant,
g_astc_unquant[endpoint_range][astc_blk.m_endpoints[3]].m_unquant,
g_astc_unquant[endpoint_range][astc_blk.m_endpoints[5]].m_unquant,
255), true, 127)
);
}
if (b.get_low_color() == b.get_high_color())
{
// Always forbid 3 color blocks
uint16_t lc16 = (uint16_t)b.get_low_color();
uint16_t hc16 = (uint16_t)b.get_high_color();
uint8_t mask = 0;
// Make l > h
if (hc16 > 0)
hc16--;
else
{
// lc16 = hc16 = 0
assert(lc16 == hc16 && hc16 == 0);
hc16 = 0;
lc16 = 1;
mask = 0x55; // select hc16
}
assert(lc16 > hc16);
b.set_low_color(static_cast<uint16_t>(lc16));
b.set_high_color(static_cast<uint16_t>(hc16));
b.m_selectors[0] = mask;
b.m_selectors[1] = mask;
b.m_selectors[2] = mask;
b.m_selectors[3] = mask;
}
else
{
bool invert = false;
if (b.get_low_color() < b.get_high_color())
{
std::swap(b.m_low_color[0], b.m_high_color[0]);
std::swap(b.m_low_color[1], b.m_high_color[1]);
invert = true;
}
const uint8_t* pTran = s_uastc_to_bc1_weights[g_uastc_mode_weight_bits[mode]];
const uint32_t plane_shift = g_uastc_mode_planes[mode] - 1;
uint32_t sels = 0;
for (int i = 15; i >= 0; --i)
{
uint32_t s = pTran[astc_blk.m_weights[i << plane_shift]];
if (invert)
s ^= 1;
sels = (sels << 2) | s;
}
b.m_selectors[0] = sels & 0xFF;
b.m_selectors[1] = (sels >> 8) & 0xFF;
b.m_selectors[2] = (sels >> 16) & 0xFF;
b.m_selectors[3] = (sels >> 24) & 0xFF;
}
}
// Scale the UASTC first plane's weight indices to BC1, use 1 or 2 least squares passes to compute endpoints - no PCA needed.
void transcode_uastc_to_bc1_hint1(const unpacked_uastc_block& unpacked_src_blk, const color32 block_pixels[4][4], void* pDst, bool high_quality)
{
const uint32_t mode = unpacked_src_blk.m_mode;
const astc_block_desc& astc_blk = unpacked_src_blk.m_astc;
dxt1_block& b = *static_cast<dxt1_block*>(pDst);
b.set_low_color(1);
b.set_high_color(0);
const uint8_t* pTran = s_uastc_to_bc1_weights[g_uastc_mode_weight_bits[mode]];
const uint32_t plane_shift = g_uastc_mode_planes[mode] - 1;
uint32_t sels = 0;
for (int i = 15; i >= 0; --i)
{
sels <<= 2;
sels |= pTran[astc_blk.m_weights[i << plane_shift]];
}
b.m_selectors[0] = sels & 0xFF;
b.m_selectors[1] = (sels >> 8) & 0xFF;
b.m_selectors[2] = (sels >> 16) & 0xFF;
b.m_selectors[3] = (sels >> 24) & 0xFF;
encode_bc1(&b, (const uint8_t*)&block_pixels[0][0].c[0], (high_quality ? cEncodeBC1HighQuality : 0) | cEncodeBC1UseSelectors);
}
bool transcode_uastc_to_bc1(const uastc_block& src_blk, void* pDst, bool high_quality)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
encode_bc1_solid_block(pDst, unpacked_src_blk.m_solid_color.r, unpacked_src_blk.m_solid_color.g, unpacked_src_blk.m_solid_color.b);
return true;
}
if ((!high_quality) && (unpacked_src_blk.m_bc1_hint0))
transcode_uastc_to_bc1_hint0(unpacked_src_blk, pDst);
else
{
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
if (unpacked_src_blk.m_bc1_hint1)
transcode_uastc_to_bc1_hint1(unpacked_src_blk, block_pixels, pDst, high_quality);
else
encode_bc1(pDst, &block_pixels[0][0].r, high_quality ? cEncodeBC1HighQuality : 0);
}
return true;
}
static void write_bc4_solid_block(uint8_t* pDst, uint32_t a)
{
pDst[0] = (uint8_t)a;
pDst[1] = (uint8_t)a;
memset(pDst + 2, 0, 6);
}
bool transcode_uastc_to_bc3(const uastc_block& src_blk, void* pDst, bool high_quality)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
void* pBC4_block = pDst;
dxt1_block* pBC1_block = &static_cast<dxt1_block*>(pDst)[1];
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
write_bc4_solid_block(static_cast<uint8_t*>(pBC4_block), unpacked_src_blk.m_solid_color.a);
encode_bc1_solid_block(pBC1_block, unpacked_src_blk.m_solid_color.r, unpacked_src_blk.m_solid_color.g, unpacked_src_blk.m_solid_color.b);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
basist::encode_bc4(pBC4_block, &block_pixels[0][0].a, sizeof(color32));
if ((!high_quality) && (unpacked_src_blk.m_bc1_hint0))
transcode_uastc_to_bc1_hint0(unpacked_src_blk, pBC1_block);
else
{
if (unpacked_src_blk.m_bc1_hint1)
transcode_uastc_to_bc1_hint1(unpacked_src_blk, block_pixels, pBC1_block, high_quality);
else
encode_bc1(pBC1_block, &block_pixels[0][0].r, high_quality ? cEncodeBC1HighQuality : 0);
}
return true;
}
bool transcode_uastc_to_bc4(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0)
{
BASISU_NOTE_UNUSED(high_quality);
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
void* pBC4_block = pDst;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
write_bc4_solid_block(static_cast<uint8_t*>(pBC4_block), unpacked_src_blk.m_solid_color.c[chan0]);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
basist::encode_bc4(pBC4_block, &block_pixels[0][0].c[chan0], sizeof(color32));
return true;
}
bool transcode_uastc_to_bc5(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0, uint32_t chan1)
{
BASISU_NOTE_UNUSED(high_quality);
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
void* pBC4_block0 = pDst;
void* pBC4_block1 = (uint8_t*)pDst + 8;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
write_bc4_solid_block(static_cast<uint8_t*>(pBC4_block0), unpacked_src_blk.m_solid_color.c[chan0]);
write_bc4_solid_block(static_cast<uint8_t*>(pBC4_block1), unpacked_src_blk.m_solid_color.c[chan1]);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
basist::encode_bc4(pBC4_block0, &block_pixels[0][0].c[chan0], sizeof(color32));
basist::encode_bc4(pBC4_block1, &block_pixels[0][0].c[chan1], sizeof(color32));
return true;
}
static const uint8_t s_etc2_eac_bit_ofs[16] = { 45, 33, 21, 9, 42, 30, 18, 6, 39, 27, 15, 3, 36, 24, 12, 0 };
static void pack_eac_solid_block(eac_block& blk, uint32_t a)
{
blk.m_base = static_cast<uint8_t>(a);
blk.m_table = 13;
blk.m_multiplier = 0;
memcpy(blk.m_selectors, g_etc2_eac_a8_sel4, sizeof(g_etc2_eac_a8_sel4));
return;
}
// Only checks 4 tables.
static void pack_eac(eac_block& blk, const uint8_t* pPixels, uint32_t stride)
{
uint32_t min_alpha = 255, max_alpha = 0;
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t a = pPixels[i * stride];
if (a < min_alpha) min_alpha = a;
if (a > max_alpha) max_alpha = a;
}
if (min_alpha == max_alpha)
{
pack_eac_solid_block(blk, min_alpha);
return;
}
const uint32_t alpha_range = max_alpha - min_alpha;
const uint32_t SINGLE_TABLE_THRESH = 5;
if (alpha_range <= SINGLE_TABLE_THRESH)
{
// If alpha_range <= 5 table 13 is lossless
int base = clamp255((int)max_alpha - 2);
blk.m_base = base;
blk.m_multiplier = 1;
blk.m_table = 13;
base -= 3;
uint64_t packed_sels = 0;
for (uint32_t i = 0; i < 16; i++)
{
const int a = pPixels[i * stride];
static const uint8_t s_sels[6] = { 2, 1, 0, 4, 5, 6 };
int sel = a - base;
assert(sel >= 0 && sel <= 5);
packed_sels |= (static_cast<uint64_t>(s_sels[sel]) << s_etc2_eac_bit_ofs[i]);
}
blk.set_selector_bits(packed_sels);
return;
}
const uint32_t T0 = 2, T1 = 8, T2 = 11, T3 = 13;
static const uint8_t s_tables[4] = { T0, T1, T2, T3 };
int base[4], mul[4];
uint32_t mul_or = 0;
for (uint32_t i = 0; i < 4; i++)
{
const uint32_t table = s_tables[i];
const float range = (float)(g_eac_modifier_table[table][ETC2_EAC_MAX_VALUE_SELECTOR] - g_eac_modifier_table[table][ETC2_EAC_MIN_VALUE_SELECTOR]);
base[i] = clamp255((int)roundf(basisu::lerp((float)min_alpha, (float)max_alpha, (float)(0 - g_eac_modifier_table[table][ETC2_EAC_MIN_VALUE_SELECTOR]) / range)));
mul[i] = clampi((int)roundf(alpha_range / range), 1, 15);
mul_or |= mul[i];
}
uint32_t total_err[4] = { 0, 0, 0, 0 };
uint8_t sels[4][16];
for (uint32_t i = 0; i < 16; i++)
{
const int a = pPixels[i * stride];
uint32_t l0 = UINT32_MAX, l1 = UINT32_MAX, l2 = UINT32_MAX, l3 = UINT32_MAX;
if ((a < 7) || (a > (255 - 7)))
{
for (uint32_t s = 0; s < 8; s++)
{
const int v0 = clamp255(mul[0] * g_eac_modifier_table[T0][s] + base[0]);
const int v1 = clamp255(mul[1] * g_eac_modifier_table[T1][s] + base[1]);
const int v2 = clamp255(mul[2] * g_eac_modifier_table[T2][s] + base[2]);
const int v3 = clamp255(mul[3] * g_eac_modifier_table[T3][s] + base[3]);
l0 = basisu::minimum(l0, (basisu::iabs(v0 - a) << 3) | s);
l1 = basisu::minimum(l1, (basisu::iabs(v1 - a) << 3) | s);
l2 = basisu::minimum(l2, (basisu::iabs(v2 - a) << 3) | s);
l3 = basisu::minimum(l3, (basisu::iabs(v3 - a) << 3) | s);
}
}
else if (mul_or == 1)
{
const int a0 = base[0] - a, a1 = base[1] - a, a2 = base[2] - a, a3 = base[3] - a;
for (uint32_t s = 0; s < 8; s++)
{
const int v0 = g_eac_modifier_table[T0][s] + a0;
const int v1 = g_eac_modifier_table[T1][s] + a1;
const int v2 = g_eac_modifier_table[T2][s] + a2;
const int v3 = g_eac_modifier_table[T3][s] + a3;
l0 = basisu::minimum(l0, (basisu::iabs(v0) << 3) | s);
l1 = basisu::minimum(l1, (basisu::iabs(v1) << 3) | s);
l2 = basisu::minimum(l2, (basisu::iabs(v2) << 3) | s);
l3 = basisu::minimum(l3, (basisu::iabs(v3) << 3) | s);
}
}
else
{
const int a0 = base[0] - a, a1 = base[1] - a, a2 = base[2] - a, a3 = base[3] - a;
for (uint32_t s = 0; s < 8; s++)
{
const int v0 = mul[0] * g_eac_modifier_table[T0][s] + a0;
const int v1 = mul[1] * g_eac_modifier_table[T1][s] + a1;
const int v2 = mul[2] * g_eac_modifier_table[T2][s] + a2;
const int v3 = mul[3] * g_eac_modifier_table[T3][s] + a3;
l0 = basisu::minimum(l0, (basisu::iabs(v0) << 3) | s);
l1 = basisu::minimum(l1, (basisu::iabs(v1) << 3) | s);
l2 = basisu::minimum(l2, (basisu::iabs(v2) << 3) | s);
l3 = basisu::minimum(l3, (basisu::iabs(v3) << 3) | s);
}
}
sels[0][i] = l0 & 7;
sels[1][i] = l1 & 7;
sels[2][i] = l2 & 7;
sels[3][i] = l3 & 7;
total_err[0] += basisu::square<uint32_t>(l0 >> 3);
total_err[1] += basisu::square<uint32_t>(l1 >> 3);
total_err[2] += basisu::square<uint32_t>(l2 >> 3);
total_err[3] += basisu::square<uint32_t>(l3 >> 3);
}
uint32_t min_err = total_err[0], min_index = 0;
for (uint32_t i = 1; i < 4; i++)
{
if (total_err[i] < min_err)
{
min_err = total_err[i];
min_index = i;
}
}
blk.m_base = base[min_index];
blk.m_multiplier = mul[min_index];
blk.m_table = s_tables[min_index];
uint64_t packed_sels = 0;
const uint8_t* pSels = &sels[min_index][0];
for (uint32_t i = 0; i < 16; i++)
packed_sels |= (static_cast<uint64_t>(pSels[i]) << s_etc2_eac_bit_ofs[i]);
blk.set_selector_bits(packed_sels);
}
// Checks all 16 tables. Around ~2 dB better vs. pack_eac(), ~1.2 dB less than near-optimal.
static void pack_eac_high_quality(eac_block& blk, const uint8_t* pPixels, uint32_t stride)
{
uint32_t min_alpha = 255, max_alpha = 0;
for (uint32_t i = 0; i < 16; i++)
{
const uint32_t a = pPixels[i * stride];
if (a < min_alpha) min_alpha = a;
if (a > max_alpha) max_alpha = a;
}
if (min_alpha == max_alpha)
{
pack_eac_solid_block(blk, min_alpha);
return;
}
const uint32_t alpha_range = max_alpha - min_alpha;
const uint32_t SINGLE_TABLE_THRESH = 5;
if (alpha_range <= SINGLE_TABLE_THRESH)
{
// If alpha_range <= 5 table 13 is lossless
int base = clamp255((int)max_alpha - 2);
blk.m_base = base;
blk.m_multiplier = 1;
blk.m_table = 13;
base -= 3;
uint64_t packed_sels = 0;
for (uint32_t i = 0; i < 16; i++)
{
const int a = pPixels[i * stride];
static const uint8_t s_sels[6] = { 2, 1, 0, 4, 5, 6 };
int sel = a - base;
assert(sel >= 0 && sel <= 5);
packed_sels |= (static_cast<uint64_t>(s_sels[sel]) << s_etc2_eac_bit_ofs[i]);
}
blk.set_selector_bits(packed_sels);
return;
}
int base[16], mul[16];
for (uint32_t table = 0; table < 16; table++)
{
const float range = (float)(g_eac_modifier_table[table][ETC2_EAC_MAX_VALUE_SELECTOR] - g_eac_modifier_table[table][ETC2_EAC_MIN_VALUE_SELECTOR]);
base[table] = clamp255((int)roundf(basisu::lerp((float)min_alpha, (float)max_alpha, (float)(0 - g_eac_modifier_table[table][ETC2_EAC_MIN_VALUE_SELECTOR]) / range)));
mul[table] = clampi((int)roundf(alpha_range / range), 1, 15);
}
uint32_t total_err[16];
memset(total_err, 0, sizeof(total_err));
uint8_t sels[16][16];
for (uint32_t table = 0; table < 16; table++)
{
const int8_t* pTable = &g_eac_modifier_table[table][0];
const int m = mul[table], b = base[table];
uint32_t prev_l = 0, prev_a = UINT32_MAX;
for (uint32_t i = 0; i < 16; i++)
{
const int a = pPixels[i * stride];
if ((uint32_t)a == prev_a)
{
sels[table][i] = prev_l & 7;
total_err[table] += basisu::square<uint32_t>(prev_l >> 3);
}
else
{
uint32_t l = basisu::iabs(clamp255(m * pTable[0] + b) - a) << 3;
l = basisu::minimum(l, (basisu::iabs(clamp255(m * pTable[1] + b) - a) << 3) | 1);
l = basisu::minimum(l, (basisu::iabs(clamp255(m * pTable[2] + b) - a) << 3) | 2);
l = basisu::minimum(l, (basisu::iabs(clamp255(m * pTable[3] + b) - a) << 3) | 3);
l = basisu::minimum(l, (basisu::iabs(clamp255(m * pTable[4] + b) - a) << 3) | 4);
l = basisu::minimum(l, (basisu::iabs(clamp255(m * pTable[5] + b) - a) << 3) | 5);
l = basisu::minimum(l, (basisu::iabs(clamp255(m * pTable[6] + b) - a) << 3) | 6);
l = basisu::minimum(l, (basisu::iabs(clamp255(m * pTable[7] + b) - a) << 3) | 7);
sels[table][i] = l & 7;
total_err[table] += basisu::square<uint32_t>(l >> 3);
prev_l = l;
prev_a = a;
}
}
}
uint32_t min_err = total_err[0], min_index = 0;
for (uint32_t i = 1; i < 16; i++)
{
if (total_err[i] < min_err)
{
min_err = total_err[i];
min_index = i;
}
}
blk.m_base = base[min_index];
blk.m_multiplier = mul[min_index];
blk.m_table = min_index;
uint64_t packed_sels = 0;
const uint8_t* pSels = &sels[min_index][0];
for (uint32_t i = 0; i < 16; i++)
packed_sels |= (static_cast<uint64_t>(pSels[i]) << s_etc2_eac_bit_ofs[i]);
blk.set_selector_bits(packed_sels);
}
bool transcode_uastc_to_etc2_eac_r11(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
pack_eac_solid_block(*static_cast<eac_block*>(pDst), unpacked_src_blk.m_solid_color.c[chan0]);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
if (chan0 == 3)
transcode_uastc_to_etc2_eac_a8(unpacked_src_blk, block_pixels, pDst);
else
(high_quality ? pack_eac_high_quality : pack_eac)(*static_cast<eac_block*>(pDst), &block_pixels[0][0].c[chan0], sizeof(color32));
return true;
}
bool transcode_uastc_to_etc2_eac_rg11(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0, uint32_t chan1)
{
unpacked_uastc_block unpacked_src_blk;
if (!unpack_uastc(src_blk, unpacked_src_blk, false))
return false;
const uint32_t mode = unpacked_src_blk.m_mode;
if (mode == UASTC_MODE_INDEX_SOLID_COLOR)
{
pack_eac_solid_block(static_cast<eac_block*>(pDst)[0], unpacked_src_blk.m_solid_color.c[chan0]);
pack_eac_solid_block(static_cast<eac_block*>(pDst)[1], unpacked_src_blk.m_solid_color.c[chan1]);
return true;
}
color32 block_pixels[4][4];
const bool unpack_srgb = false;
if (!unpack_uastc(unpacked_src_blk, &block_pixels[0][0], unpack_srgb))
return false;
if (chan0 == 3)
transcode_uastc_to_etc2_eac_a8(unpacked_src_blk, block_pixels, &static_cast<eac_block*>(pDst)[0]);
else
(high_quality ? pack_eac_high_quality : pack_eac)(static_cast<eac_block*>(pDst)[0], &block_pixels[0][0].c[chan0], sizeof(color32));
if (chan1 == 3)
transcode_uastc_to_etc2_eac_a8(unpacked_src_blk, block_pixels, &static_cast<eac_block*>(pDst)[1]);
else
(high_quality ? pack_eac_high_quality : pack_eac)(static_cast<eac_block*>(pDst)[1], &block_pixels[0][0].c[chan1], sizeof(color32));
return true;
}
// PVRTC1
static void fixup_pvrtc1_4_modulation_rgb(
const uastc_block* pSrc_blocks,
const uint32_t* pPVRTC_endpoints,
void* pDst_blocks,
uint32_t num_blocks_x, uint32_t num_blocks_y, bool from_alpha)
{
const uint32_t x_mask = num_blocks_x - 1;
const uint32_t y_mask = num_blocks_y - 1;
const uint32_t x_bits = basisu::total_bits(x_mask);
const uint32_t y_bits = basisu::total_bits(y_mask);
const uint32_t min_bits = basisu::minimum(x_bits, y_bits);
//const uint32_t max_bits = basisu::maximum(x_bits, y_bits);
const uint32_t swizzle_mask = (1 << (min_bits * 2)) - 1;
uint32_t block_index = 0;
// really 3x3
int e0[4][4], e1[4][4];
for (int y = 0; y < static_cast<int>(num_blocks_y); y++)
{
const uint32_t* pE_rows[3];
for (int ey = 0; ey < 3; ey++)
{
int by = y + ey - 1;
const uint32_t* pE = &pPVRTC_endpoints[(by & y_mask) * num_blocks_x];
pE_rows[ey] = pE;
for (int ex = 0; ex < 3; ex++)
{
int bx = 0 + ex - 1;
const uint32_t e = pE[bx & x_mask];
e0[ex][ey] = (get_opaque_endpoint_l0(e) * 255) / 31;
e1[ex][ey] = (get_opaque_endpoint_l1(e) * 255) / 31;
}
}
const uint32_t y_swizzle = (g_pvrtc_swizzle_table[y >> 8] << 16) | g_pvrtc_swizzle_table[y & 0xFF];
for (int x = 0; x < static_cast<int>(num_blocks_x); x++, block_index++)
{
const uastc_block& src_block = pSrc_blocks[block_index];
color32 block_pixels[4][4];
unpack_uastc(src_block, &block_pixels[0][0], false);
if (from_alpha)
{
// Just set RGB to alpha to avoid adding complexity below.
for (uint32_t i = 0; i < 16; i++)
{
const uint8_t a = ((color32*)block_pixels)[i].a;
((color32*)block_pixels)[i].set(a, a, a, 255);
}
}
const uint32_t x_swizzle = (g_pvrtc_swizzle_table[x >> 8] << 17) | (g_pvrtc_swizzle_table[x & 0xFF] << 1);
uint32_t swizzled = x_swizzle | y_swizzle;
if (num_blocks_x != num_blocks_y)
{
swizzled &= swizzle_mask;
if (num_blocks_x > num_blocks_y)
swizzled |= ((x >> min_bits) << (min_bits * 2));
else
swizzled |= ((y >> min_bits) << (min_bits * 2));
}
pvrtc4_block* pDst_block = static_cast<pvrtc4_block*>(pDst_blocks) + swizzled;
pDst_block->m_endpoints = pPVRTC_endpoints[block_index];
{
const uint32_t ex = 2;
int bx = x + ex - 1;
bx &= x_mask;
#define DO_ROW(ey) \
{ \
const uint32_t e = pE_rows[ey][bx]; \
e0[ex][ey] = (get_opaque_endpoint_l0(e) * 255) / 31; \
e1[ex][ey] = (get_opaque_endpoint_l1(e) * 255) / 31; \
}
DO_ROW(0);
DO_ROW(1);
DO_ROW(2);
#undef DO_ROW
}
uint32_t mod = 0;
#define DO_PIX(lx, ly, w0, w1, w2, w3) \
{ \
int ca_l = a0 * w0 + a1 * w1 + a2 * w2 + a3 * w3; \
int cb_l = b0 * w0 + b1 * w1 + b2 * w2 + b3 * w3; \
int cl = (block_pixels[ly][lx].r + block_pixels[ly][lx].g + block_pixels[ly][lx].b) * 16; \
int dl = cb_l - ca_l; \
int vl = cl - ca_l; \
int p = vl * 16; \
if (ca_l > cb_l) { p = -p; dl = -dl; } \
uint32_t m = 0; \
if (p > 3 * dl) m = (uint32_t)(1 << ((ly) * 8 + (lx) * 2)); \
if (p > 8 * dl) m = (uint32_t)(2 << ((ly) * 8 + (lx) * 2)); \
if (p > 13 * dl) m = (uint32_t)(3 << ((ly) * 8 + (lx) * 2)); \
mod |= m; \
}
{
const uint32_t ex = 0, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 0, 4, 4, 4, 4);
DO_PIX(1, 0, 2, 6, 2, 6);
DO_PIX(0, 1, 2, 2, 6, 6);
DO_PIX(1, 1, 1, 3, 3, 9);
}
{
const uint32_t ex = 1, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 0, 8, 0, 8, 0);
DO_PIX(3, 0, 6, 2, 6, 2);
DO_PIX(2, 1, 4, 0, 12, 0);
DO_PIX(3, 1, 3, 1, 9, 3);
}
{
const uint32_t ex = 0, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 2, 8, 8, 0, 0);
DO_PIX(1, 2, 4, 12, 0, 0);
DO_PIX(0, 3, 6, 6, 2, 2);
DO_PIX(1, 3, 3, 9, 1, 3);
}
{
const uint32_t ex = 1, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 2, 16, 0, 0, 0);
DO_PIX(3, 2, 12, 4, 0, 0);
DO_PIX(2, 3, 12, 0, 4, 0);
DO_PIX(3, 3, 9, 3, 3, 1);
}
#undef DO_PIX
pDst_block->m_modulation = mod;
e0[0][0] = e0[1][0]; e0[1][0] = e0[2][0];
e0[0][1] = e0[1][1]; e0[1][1] = e0[2][1];
e0[0][2] = e0[1][2]; e0[1][2] = e0[2][2];
e1[0][0] = e1[1][0]; e1[1][0] = e1[2][0];
e1[0][1] = e1[1][1]; e1[1][1] = e1[2][1];
e1[0][2] = e1[1][2]; e1[1][2] = e1[2][2];
} // x
} // y
}
static void fixup_pvrtc1_4_modulation_rgba(
const uastc_block* pSrc_blocks,
const uint32_t* pPVRTC_endpoints,
void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y)
{
const uint32_t x_mask = num_blocks_x - 1;
const uint32_t y_mask = num_blocks_y - 1;
const uint32_t x_bits = basisu::total_bits(x_mask);
const uint32_t y_bits = basisu::total_bits(y_mask);
const uint32_t min_bits = basisu::minimum(x_bits, y_bits);
//const uint32_t max_bits = basisu::maximum(x_bits, y_bits);
const uint32_t swizzle_mask = (1 << (min_bits * 2)) - 1;
uint32_t block_index = 0;
// really 3x3
int e0[4][4], e1[4][4];
for (int y = 0; y < static_cast<int>(num_blocks_y); y++)
{
const uint32_t* pE_rows[3];
for (int ey = 0; ey < 3; ey++)
{
int by = y + ey - 1;
const uint32_t* pE = &pPVRTC_endpoints[(by & y_mask) * num_blocks_x];
pE_rows[ey] = pE;
for (int ex = 0; ex < 3; ex++)
{
int bx = 0 + ex - 1;
const uint32_t e = pE[bx & x_mask];
e0[ex][ey] = get_endpoint_l8(e, 0);
e1[ex][ey] = get_endpoint_l8(e, 1);
}
}
const uint32_t y_swizzle = (g_pvrtc_swizzle_table[y >> 8] << 16) | g_pvrtc_swizzle_table[y & 0xFF];
for (int x = 0; x < static_cast<int>(num_blocks_x); x++, block_index++)
{
const uastc_block& src_block = pSrc_blocks[block_index];
color32 block_pixels[4][4];
unpack_uastc(src_block, &block_pixels[0][0], false);
const uint32_t x_swizzle = (g_pvrtc_swizzle_table[x >> 8] << 17) | (g_pvrtc_swizzle_table[x & 0xFF] << 1);
uint32_t swizzled = x_swizzle | y_swizzle;
if (num_blocks_x != num_blocks_y)
{
swizzled &= swizzle_mask;
if (num_blocks_x > num_blocks_y)
swizzled |= ((x >> min_bits) << (min_bits * 2));
else
swizzled |= ((y >> min_bits) << (min_bits * 2));
}
pvrtc4_block* pDst_block = static_cast<pvrtc4_block*>(pDst_blocks) + swizzled;
pDst_block->m_endpoints = pPVRTC_endpoints[block_index];
{
const uint32_t ex = 2;
int bx = x + ex - 1;
bx &= x_mask;
#define DO_ROW(ey) \
{ \
const uint32_t e = pE_rows[ey][bx]; \
e0[ex][ey] = get_endpoint_l8(e, 0); \
e1[ex][ey] = get_endpoint_l8(e, 1); \
}
DO_ROW(0);
DO_ROW(1);
DO_ROW(2);
#undef DO_ROW
}
uint32_t mod = 0;
#define DO_PIX(lx, ly, w0, w1, w2, w3) \
{ \
int ca_l = a0 * w0 + a1 * w1 + a2 * w2 + a3 * w3; \
int cb_l = b0 * w0 + b1 * w1 + b2 * w2 + b3 * w3; \
int cl = 16 * (block_pixels[ly][lx].r + block_pixels[ly][lx].g + block_pixels[ly][lx].b + block_pixels[ly][lx].a); \
int dl = cb_l - ca_l; \
int vl = cl - ca_l; \
int p = vl * 16; \
if (ca_l > cb_l) { p = -p; dl = -dl; } \
uint32_t m = 0; \
if (p > 3 * dl) m = (uint32_t)(1 << ((ly) * 8 + (lx) * 2)); \
if (p > 8 * dl) m = (uint32_t)(2 << ((ly) * 8 + (lx) * 2)); \
if (p > 13 * dl) m = (uint32_t)(3 << ((ly) * 8 + (lx) * 2)); \
mod |= m; \
}
{
const uint32_t ex = 0, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 0, 4, 4, 4, 4);
DO_PIX(1, 0, 2, 6, 2, 6);
DO_PIX(0, 1, 2, 2, 6, 6);
DO_PIX(1, 1, 1, 3, 3, 9);
}
{
const uint32_t ex = 1, ey = 0;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 0, 8, 0, 8, 0);
DO_PIX(3, 0, 6, 2, 6, 2);
DO_PIX(2, 1, 4, 0, 12, 0);
DO_PIX(3, 1, 3, 1, 9, 3);
}
{
const uint32_t ex = 0, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(0, 2, 8, 8, 0, 0);
DO_PIX(1, 2, 4, 12, 0, 0);
DO_PIX(0, 3, 6, 6, 2, 2);
DO_PIX(1, 3, 3, 9, 1, 3);
}
{
const uint32_t ex = 1, ey = 1;
const int a0 = e0[ex][ey], a1 = e0[ex + 1][ey], a2 = e0[ex][ey + 1], a3 = e0[ex + 1][ey + 1];
const int b0 = e1[ex][ey], b1 = e1[ex + 1][ey], b2 = e1[ex][ey + 1], b3 = e1[ex + 1][ey + 1];
DO_PIX(2, 2, 16, 0, 0, 0);
DO_PIX(3, 2, 12, 4, 0, 0);
DO_PIX(2, 3, 12, 0, 4, 0);
DO_PIX(3, 3, 9, 3, 3, 1);
}
#undef DO_PIX
pDst_block->m_modulation = mod;
e0[0][0] = e0[1][0]; e0[1][0] = e0[2][0];
e0[0][1] = e0[1][1]; e0[1][1] = e0[2][1];
e0[0][2] = e0[1][2]; e0[1][2] = e0[2][2];
e1[0][0] = e1[1][0]; e1[1][0] = e1[2][0];
e1[0][1] = e1[1][1]; e1[1][1] = e1[2][1];
e1[0][2] = e1[1][2]; e1[1][2] = e1[2][2];
} // x
} // y
}
bool transcode_uastc_to_pvrtc1_4_rgb(const uastc_block* pSrc_blocks, void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, bool high_quality, bool from_alpha)
{
BASISU_NOTE_UNUSED(high_quality);
if ((!num_blocks_x) || (!num_blocks_y))
return false;
const uint32_t width = num_blocks_x * 4;
const uint32_t height = num_blocks_y * 4;
if (!basisu::is_pow2(width) || !basisu::is_pow2(height))
return false;
basisu::vector<uint32_t> temp_endpoints(num_blocks_x * num_blocks_y);
for (uint32_t y = 0; y < num_blocks_y; y++)
{
for (uint32_t x = 0; x < num_blocks_x; x++)
{
color32 block_pixels[16];
if (!unpack_uastc(pSrc_blocks[x + y * num_blocks_x], block_pixels, false))
return false;
// Get block's RGB bounding box
color32 low_color(255, 255, 255, 255), high_color(0, 0, 0, 0);
if (from_alpha)
{
uint32_t low_a = 255, high_a = 0;
for (uint32_t i = 0; i < 16; i++)
{
low_a = basisu::minimum<uint32_t>(low_a, block_pixels[i].a);
high_a = basisu::maximum<uint32_t>(high_a, block_pixels[i].a);
}
low_color.set(low_a, low_a, low_a, 255);
high_color.set(high_a, high_a, high_a, 255);
}
else
{
for (uint32_t i = 0; i < 16; i++)
{
low_color = color32::comp_min(low_color, block_pixels[i]);
high_color = color32::comp_max(high_color, block_pixels[i]);
}
}
// Set PVRTC1 endpoints to floor/ceil of bounding box's coordinates.
pvrtc4_block temp;
temp.set_opaque_endpoint_floor(0, low_color);
temp.set_opaque_endpoint_ceil(1, high_color);
temp_endpoints[x + y * num_blocks_x] = temp.m_endpoints;
}
}
fixup_pvrtc1_4_modulation_rgb(pSrc_blocks, &temp_endpoints[0], pDst_blocks, num_blocks_x, num_blocks_y, from_alpha);
return true;
}
bool transcode_uastc_to_pvrtc1_4_rgba(const uastc_block* pSrc_blocks, void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, bool high_quality)
{
BASISU_NOTE_UNUSED(high_quality);
if ((!num_blocks_x) || (!num_blocks_y))
return false;
const uint32_t width = num_blocks_x * 4;
const uint32_t height = num_blocks_y * 4;
if (!basisu::is_pow2(width) || !basisu::is_pow2(height))
return false;
basisu::vector<uint32_t> temp_endpoints(num_blocks_x * num_blocks_y);
for (uint32_t y = 0; y < num_blocks_y; y++)
{
for (uint32_t x = 0; x < num_blocks_x; x++)
{
color32 block_pixels[16];
if (!unpack_uastc(pSrc_blocks[x + y * num_blocks_x], block_pixels, false))
return false;
// Get block's RGBA bounding box
color32 low_color(255, 255, 255, 255), high_color(0, 0, 0, 0);
for (uint32_t i = 0; i < 16; i++)
{
low_color = color32::comp_min(low_color, block_pixels[i]);
high_color = color32::comp_max(high_color, block_pixels[i]);
}
// Set PVRTC1 endpoints to floor/ceil of bounding box's coordinates.
pvrtc4_block temp;
temp.set_endpoint_floor(0, low_color);
temp.set_endpoint_ceil(1, high_color);
temp_endpoints[x + y * num_blocks_x] = temp.m_endpoints;
}
}
fixup_pvrtc1_4_modulation_rgba(pSrc_blocks, &temp_endpoints[0], pDst_blocks, num_blocks_x, num_blocks_y);
return true;
}
void uastc_init()
{
for (uint32_t range = 0; range < BC7ENC_TOTAL_ASTC_RANGES; range++)
{
if (!astc_is_valid_endpoint_range(range))
continue;
const uint32_t levels = astc_get_levels(range);
uint32_t vals[256];
for (uint32_t i = 0; i < levels; i++)
vals[i] = (unquant_astc_endpoint_val(i, range) << 8) | i;
std::sort(vals, vals + levels);
for (uint32_t i = 0; i < levels; i++)
{
const uint32_t order = vals[i] & 0xFF;
const uint32_t unq = vals[i] >> 8;
g_astc_unquant[range][order].m_unquant = (uint8_t)unq;
g_astc_unquant[range][order].m_index = (uint8_t)i;
} // i
}
// TODO: Precompute?
// BC7 777.1
for (int c = 0; c < 256; c++)
{
for (uint32_t lp = 0; lp < 2; lp++)
{
endpoint_err best;
best.m_error = (uint16_t)UINT16_MAX;
for (uint32_t l = 0; l < 128; l++)
{
const uint32_t low = (l << 1) | lp;
for (uint32_t h = 0; h < 128; h++)
{
const uint32_t high = (h << 1) | lp;
const int k = (low * (64 - g_bc7_weights4[BC7ENC_MODE_6_OPTIMAL_INDEX]) + high * g_bc7_weights4[BC7ENC_MODE_6_OPTIMAL_INDEX] + 32) >> 6;
const int err = (k - c) * (k - c);
if (err < best.m_error)
{
best.m_error = (uint16_t)err;
best.m_lo = (uint8_t)l;
best.m_hi = (uint8_t)h;
}
} // h
} // l
g_bc7_mode_6_optimal_endpoints[c][lp] = best;
} // lp
} // c
// BC7 777
for (int c = 0; c < 256; c++)
{
endpoint_err best;
best.m_error = (uint16_t)UINT16_MAX;
for (uint32_t l = 0; l < 128; l++)
{
const uint32_t low = (l << 1) | (l >> 6);
for (uint32_t h = 0; h < 128; h++)
{
const uint32_t high = (h << 1) | (h >> 6);
const int k = (low * (64 - g_bc7_weights2[BC7ENC_MODE_5_OPTIMAL_INDEX]) + high * g_bc7_weights2[BC7ENC_MODE_5_OPTIMAL_INDEX] + 32) >> 6;
const int err = (k - c) * (k - c);
if (err < best.m_error)
{
best.m_error = (uint16_t)err;
best.m_lo = (uint8_t)l;
best.m_hi = (uint8_t)h;
}
} // h
} // l
g_bc7_mode_5_optimal_endpoints[c] = best;
} // c
}
#endif // #if BASISD_SUPPORT_UASTC
// ------------------------------------------------------------------------------------------------------
// KTX2
// ------------------------------------------------------------------------------------------------------
#if BASISD_SUPPORT_KTX2
const uint8_t g_ktx2_file_identifier[12] = { 0xAB, 0x4B, 0x54, 0x58, 0x20, 0x32, 0x30, 0xBB, 0x0D, 0x0A, 0x1A, 0x0A };
ktx2_transcoder::ktx2_transcoder() :
m_etc1s_transcoder()
{
clear();
}
void ktx2_transcoder::clear()
{
m_pData = nullptr;
m_data_size = 0;
memset(&m_header, 0, sizeof(m_header));
m_levels.clear();
m_dfd.clear();
m_key_values.clear();
memset(&m_etc1s_header, 0, sizeof(m_etc1s_header));
m_etc1s_image_descs.clear();
m_format = basist::basis_tex_format::cETC1S;
m_dfd_color_model = 0;
m_dfd_color_prims = KTX2_DF_PRIMARIES_UNSPECIFIED;
m_dfd_transfer_func = 0;
m_dfd_flags = 0;
m_dfd_samples = 0;
m_dfd_chan0 = KTX2_DF_CHANNEL_UASTC_RGB;
m_dfd_chan1 = KTX2_DF_CHANNEL_UASTC_RGB;
m_etc1s_transcoder.clear();
m_def_transcoder_state.clear();
m_has_alpha = false;
m_is_video = false;
}
bool ktx2_transcoder::init(const void* pData, uint32_t data_size)
{
clear();
if (!pData)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: pData is nullptr\n");
assert(0);
return false;
}
if (data_size <= sizeof(ktx2_header))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: File is impossibly too small to be a valid KTX2 file\n");
return false;
}
if (memcmp(pData, g_ktx2_file_identifier, sizeof(g_ktx2_file_identifier)) != 0)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: KTX2 file identifier is not present\n");
return false;
}
m_pData = static_cast<const uint8_t *>(pData);
m_data_size = data_size;
memcpy(&m_header, pData, sizeof(m_header));
// We only support UASTC and ETC1S
if (m_header.m_vk_format != KTX2_VK_FORMAT_UNDEFINED)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: KTX2 file must be in ETC1S or UASTC format\n");
return false;
}
// 3.3: "When format is VK_FORMAT_UNDEFINED, typeSize must equal 1."
if (m_header.m_type_size != 1)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid type_size\n");
return false;
}
// We only currently support 2D textures (plain, cubemapped, or texture array), which is by far the most common use case.
// The BasisU library does not support 1D or 3D textures at all.
if ((m_header.m_pixel_width < 1) || (m_header.m_pixel_height < 1) || (m_header.m_pixel_depth > 0))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Only 2D or cubemap textures are supported\n");
return false;
}
// Face count must be 1 or 6
if ((m_header.m_face_count != 1) && (m_header.m_face_count != 6))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid face count, file is corrupted or invalid\n");
return false;
}
if (m_header.m_face_count > 1)
{
// 3.4: Make sure cubemaps are square.
if (m_header.m_pixel_width != m_header.m_pixel_height)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Cubemap is not square\n");
return false;
}
}
// 3.7 levelCount: "levelCount=0 is allowed, except for block-compressed formats"
if (m_header.m_level_count < 1)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid level count\n");
return false;
}
// Sanity check the level count.
if (m_header.m_level_count > KTX2_MAX_SUPPORTED_LEVEL_COUNT)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Too many levels or file is corrupted or invalid\n");
return false;
}
if (m_header.m_supercompression_scheme > KTX2_SS_ZSTANDARD)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid/unsupported supercompression or file is corrupted or invalid\n");
return false;
}
if (m_header.m_supercompression_scheme == KTX2_SS_BASISLZ)
{
if (m_header.m_sgd_byte_length <= sizeof(ktx2_etc1s_global_data_header))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Supercompression global data is too small\n");
return false;
}
if (m_header.m_sgd_byte_offset < sizeof(ktx2_header))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Supercompression global data offset is too low\n");
return false;
}
if (m_header.m_sgd_byte_offset + m_header.m_sgd_byte_length > m_data_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Supercompression global data offset and/or length is too high\n");
return false;
}
}
if (!m_levels.try_resize(m_header.m_level_count))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Out of memory\n");
return false;
}
const uint32_t level_index_size_in_bytes = basisu::maximum(1U, (uint32_t)m_header.m_level_count) * sizeof(ktx2_level_index);
if ((sizeof(ktx2_header) + level_index_size_in_bytes) > m_data_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: File is too small (can't read level index array)\n");
return false;
}
memcpy(&m_levels[0], m_pData + sizeof(ktx2_header), level_index_size_in_bytes);
// Sanity check the level offsets and byte sizes
for (uint32_t i = 0; i < m_levels.size(); i++)
{
if (m_levels[i].m_byte_offset < sizeof(ktx2_header))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid level offset (too low)\n");
return false;
}
if (!m_levels[i].m_byte_length)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid level byte length\n");
}
if ((m_levels[i].m_byte_offset + m_levels[i].m_byte_length) > m_data_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid level offset and/or length\n");
return false;
}
const uint64_t MAX_SANE_LEVEL_UNCOMP_SIZE = 2048ULL * 1024ULL * 1024ULL;
if (m_levels[i].m_uncompressed_byte_length >= MAX_SANE_LEVEL_UNCOMP_SIZE)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid level offset (too large)\n");
return false;
}
if (m_header.m_supercompression_scheme == KTX2_SS_BASISLZ)
{
if (m_levels[i].m_uncompressed_byte_length)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid uncompressed length (0)\n");
return false;
}
}
else if (m_header.m_supercompression_scheme >= KTX2_SS_ZSTANDARD)
{
if (!m_levels[i].m_uncompressed_byte_length)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid uncompressed length (1)\n");
return false;
}
}
}
const uint32_t DFD_MINIMUM_SIZE = 44, DFD_MAXIMUM_SIZE = 60;
if ((m_header.m_dfd_byte_length != DFD_MINIMUM_SIZE) && (m_header.m_dfd_byte_length != DFD_MAXIMUM_SIZE))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Unsupported DFD size\n");
return false;
}
if (((m_header.m_dfd_byte_offset + m_header.m_dfd_byte_length) > m_data_size) || (m_header.m_dfd_byte_offset < sizeof(ktx2_header)))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid DFD offset and/or length\n");
return false;
}
const uint8_t* pDFD = m_pData + m_header.m_dfd_byte_offset;
if (!m_dfd.try_resize(m_header.m_dfd_byte_length))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Out of memory\n");
return false;
}
memcpy(m_dfd.data(), pDFD, m_header.m_dfd_byte_length);
// This is all hard coded for only ETC1S and UASTC.
uint32_t dfd_total_size = basisu::read_le_dword(pDFD);
// 3.10.3: Sanity check
if (dfd_total_size != m_header.m_dfd_byte_length)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: DFD size validation failed (1)\n");
return false;
}
// 3.10.3: More sanity checking
if (m_header.m_kvd_byte_length)
{
if (dfd_total_size != m_header.m_kvd_byte_offset - m_header.m_dfd_byte_offset)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: DFD size validation failed (2)\n");
return false;
}
}
const uint32_t dfd_bits = basisu::read_le_dword(pDFD + 3 * sizeof(uint32_t));
const uint32_t sample_channel0 = basisu::read_le_dword(pDFD + 7 * sizeof(uint32_t));
m_dfd_color_model = dfd_bits & 255;
m_dfd_color_prims = (ktx2_df_color_primaries)((dfd_bits >> 8) & 255);
m_dfd_transfer_func = (dfd_bits >> 16) & 255;
m_dfd_flags = (dfd_bits >> 24) & 255;
// See 3.10.1.Restrictions
if ((m_dfd_transfer_func != KTX2_KHR_DF_TRANSFER_LINEAR) && (m_dfd_transfer_func != KTX2_KHR_DF_TRANSFER_SRGB))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Invalid DFD transfer function\n");
return false;
}
if (m_dfd_color_model == KTX2_KDF_DF_MODEL_ETC1S)
{
m_format = basist::basis_tex_format::cETC1S;
// 3.10.2: "Whether the image has 1 or 2 slices can be determined from the DFD's sample count."
// If m_has_alpha is true it may be 2-channel RRRG or 4-channel RGBA, but we let the caller deal with that.
m_has_alpha = (m_header.m_dfd_byte_length == 60);
m_dfd_samples = m_has_alpha ? 2 : 1;
m_dfd_chan0 = (ktx2_df_channel_id)((sample_channel0 >> 24) & 15);
if (m_has_alpha)
{
const uint32_t sample_channel1 = basisu::read_le_dword(pDFD + 11 * sizeof(uint32_t));
m_dfd_chan1 = (ktx2_df_channel_id)((sample_channel1 >> 24) & 15);
}
}
else if (m_dfd_color_model == KTX2_KDF_DF_MODEL_UASTC)
{
m_format = basist::basis_tex_format::cUASTC4x4;
m_dfd_samples = 1;
m_dfd_chan0 = (ktx2_df_channel_id)((sample_channel0 >> 24) & 15);
// We're assuming "DATA" means RGBA so it has alpha.
m_has_alpha = (m_dfd_chan0 == KTX2_DF_CHANNEL_UASTC_RGBA) || (m_dfd_chan0 == KTX2_DF_CHANNEL_UASTC_RRRG);
}
else
{
// Unsupported DFD color model.
BASISU_DEVEL_ERROR("ktx2_transcoder::init: Unsupported DFD color model\n");
return false;
}
if (!read_key_values())
{
BASISU_DEVEL_ERROR("ktx2_transcoder::init: read_key_values() failed\n");
return false;
}
// Check for a KTXanimData key
for (uint32_t i = 0; i < m_key_values.size(); i++)
{
if (strcmp(reinterpret_cast<const char*>(m_key_values[i].m_key.data()), "KTXanimData") == 0)
{
m_is_video = true;
break;
}
}
return true;
}
uint32_t ktx2_transcoder::get_etc1s_image_descs_image_flags(uint32_t level_index, uint32_t layer_index, uint32_t face_index) const
{
const uint32_t etc1s_image_index =
(level_index * basisu::maximum<uint32_t>(m_header.m_layer_count, 1) * m_header.m_face_count) +
layer_index * m_header.m_face_count +
face_index;
if (etc1s_image_index >= get_etc1s_image_descs().size())
{
assert(0);
return 0;
}
return get_etc1s_image_descs()[etc1s_image_index].m_image_flags;
}
const basisu::uint8_vec* ktx2_transcoder::find_key(const std::string& key_name) const
{
for (uint32_t i = 0; i < m_key_values.size(); i++)
if (strcmp((const char *)m_key_values[i].m_key.data(), key_name.c_str()) == 0)
return &m_key_values[i].m_value;
return nullptr;
}
bool ktx2_transcoder::start_transcoding()
{
if (!m_pData)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::start_transcoding: Must call init() first\n");
return false;
}
if (m_header.m_supercompression_scheme == KTX2_SS_BASISLZ)
{
// Check if we've already decompressed the ETC1S global data. If so don't unpack it again.
if (!m_etc1s_transcoder.get_endpoints().empty())
return true;
if (!decompress_etc1s_global_data())
{
BASISU_DEVEL_ERROR("ktx2_transcoder::start_transcoding: decompress_etc1s_global_data() failed\n");
return false;
}
if (!m_is_video)
{
// See if there are any P-frames. If so it must be a video, even if there wasn't a KTXanimData key.
// Video cannot be a cubemap, and it must be a texture array.
if ((m_header.m_face_count == 1) && (m_header.m_layer_count > 1))
{
for (uint32_t i = 0; i < m_etc1s_image_descs.size(); i++)
{
if (m_etc1s_image_descs[i].m_image_flags & KTX2_IMAGE_IS_P_FRAME)
{
m_is_video = true;
break;
}
}
}
}
}
else if (m_header.m_supercompression_scheme == KTX2_SS_ZSTANDARD)
{
#if !BASISD_SUPPORT_KTX2_ZSTD
BASISU_DEVEL_ERROR("ktx2_transcoder::start_transcoding: File uses zstd supercompression, but zstd support was not enabled at compilation time (BASISD_SUPPORT_KTX2_ZSTD == 0)\n");
return false;
#endif
}
return true;
}
bool ktx2_transcoder::get_image_level_info(ktx2_image_level_info& level_info, uint32_t level_index, uint32_t layer_index, uint32_t face_index) const
{
if (level_index >= m_levels.size())
{
BASISU_DEVEL_ERROR("ktx2_transcoder::get_image_level_info: level_index >= m_levels.size()\n");
return false;
}
if (m_header.m_face_count > 1)
{
if (face_index >= 6)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::get_image_level_info: face_index >= 6\n");
return false;
}
}
else if (face_index != 0)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::get_image_level_info: face_index != 0\n");
return false;
}
if (layer_index >= basisu::maximum<uint32_t>(m_header.m_layer_count, 1))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::get_image_level_info: layer_index >= maximum<uint32_t>(m_header.m_layer_count, 1)\n");
return false;
}
const uint32_t level_width = basisu::maximum<uint32_t>(m_header.m_pixel_width >> level_index, 1);
const uint32_t level_height = basisu::maximum<uint32_t>(m_header.m_pixel_height >> level_index, 1);
const uint32_t num_blocks_x = (level_width + 3) >> 2;
const uint32_t num_blocks_y = (level_height + 3) >> 2;
level_info.m_face_index = face_index;
level_info.m_layer_index = layer_index;
level_info.m_level_index = level_index;
level_info.m_orig_width = level_width;
level_info.m_orig_height = level_height;
level_info.m_width = num_blocks_x * 4;
level_info.m_height = num_blocks_y * 4;
level_info.m_num_blocks_x = num_blocks_x;
level_info.m_num_blocks_y = num_blocks_y;
level_info.m_total_blocks = num_blocks_x * num_blocks_y;
level_info.m_alpha_flag = m_has_alpha;
level_info.m_iframe_flag = false;
if (m_etc1s_image_descs.size())
{
const uint32_t etc1s_image_index =
(level_index * basisu::maximum<uint32_t>(m_header.m_layer_count, 1) * m_header.m_face_count) +
layer_index * m_header.m_face_count +
face_index;
level_info.m_iframe_flag = (m_etc1s_image_descs[etc1s_image_index].m_image_flags & KTX2_IMAGE_IS_P_FRAME) == 0;
}
return true;
}
bool ktx2_transcoder::transcode_image_level(
uint32_t level_index, uint32_t layer_index, uint32_t face_index,
void* pOutput_blocks, uint32_t output_blocks_buf_size_in_blocks_or_pixels,
basist::transcoder_texture_format fmt,
uint32_t decode_flags, uint32_t output_row_pitch_in_blocks_or_pixels, uint32_t output_rows_in_pixels, int channel0, int channel1,
ktx2_transcoder_state* pState)
{
if (!m_pData)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: Must call init() first\n");
return false;
}
if (!pState)
pState = &m_def_transcoder_state;
if (level_index >= m_levels.size())
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: level_index >= m_levels.size()\n");
return false;
}
if (m_header.m_face_count > 1)
{
if (face_index >= 6)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: face_index >= 6\n");
return false;
}
}
else if (face_index != 0)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: face_index != 0\n");
return false;
}
if (layer_index >= basisu::maximum<uint32_t>(m_header.m_layer_count, 1))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: layer_index >= maximum<uint32_t>(m_header.m_layer_count, 1)\n");
return false;
}
const uint8_t* pComp_level_data = m_pData + m_levels[level_index].m_byte_offset;
uint64_t comp_level_data_size = m_levels[level_index].m_byte_length;
const uint8_t* pUncomp_level_data = pComp_level_data;
uint64_t uncomp_level_data_size = comp_level_data_size;
if (uncomp_level_data_size > UINT32_MAX)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: uncomp_level_data_size > UINT32_MAX\n");
return false;
}
if (m_header.m_supercompression_scheme == KTX2_SS_ZSTANDARD)
{
// Check if we've already decompressed this level's supercompressed data.
if ((int)level_index != pState->m_uncomp_data_level_index)
{
// Uncompress the entire level's supercompressed data.
if (!decompress_level_data(level_index, pState->m_level_uncomp_data))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: decompress_level_data() failed\n");
return false;
}
pState->m_uncomp_data_level_index = level_index;
}
pUncomp_level_data = pState->m_level_uncomp_data.data();
uncomp_level_data_size = pState->m_level_uncomp_data.size();
}
const uint32_t level_width = basisu::maximum<uint32_t>(m_header.m_pixel_width >> level_index, 1);
const uint32_t level_height = basisu::maximum<uint32_t>(m_header.m_pixel_height >> level_index, 1);
const uint32_t num_blocks_x = (level_width + 3) >> 2;
const uint32_t num_blocks_y = (level_height + 3) >> 2;
if (m_format == basist::basis_tex_format::cETC1S)
{
// Ensure start_transcoding() was called.
if (m_etc1s_transcoder.get_endpoints().empty())
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: must call start_transcoding() first\n");
return false;
}
const uint32_t etc1s_image_index =
(level_index * basisu::maximum<uint32_t>(m_header.m_layer_count, 1) * m_header.m_face_count) +
layer_index * m_header.m_face_count +
face_index;
// Sanity check
if (etc1s_image_index >= m_etc1s_image_descs.size())
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: etc1s_image_index >= m_etc1s_image_descs.size()\n");
assert(0);
return false;
}
if (static_cast<uint32_t>(m_data_size) != m_data_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: File is too large\n");
return false;
}
const ktx2_etc1s_image_desc& image_desc = m_etc1s_image_descs[etc1s_image_index];
if (!m_etc1s_transcoder.transcode_image(fmt,
pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels, m_pData, static_cast<uint32_t>(m_data_size),
num_blocks_x, num_blocks_y, level_width, level_height,
level_index,
m_levels[level_index].m_byte_offset + image_desc.m_rgb_slice_byte_offset, image_desc.m_rgb_slice_byte_length,
image_desc.m_alpha_slice_byte_length ? (m_levels[level_index].m_byte_offset + image_desc.m_alpha_slice_byte_offset) : 0, image_desc.m_alpha_slice_byte_length,
decode_flags, m_has_alpha,
m_is_video, output_row_pitch_in_blocks_or_pixels, &pState->m_transcoder_state, output_rows_in_pixels))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: ETC1S transcode_image() failed, this is either a bug or the file is corrupted/invalid\n");
return false;
}
}
else if (m_format == basist::basis_tex_format::cUASTC4x4)
{
// Compute length and offset to uncompressed 2D UASTC texture data, given the face/layer indices.
assert(uncomp_level_data_size == m_levels[level_index].m_uncompressed_byte_length);
const uint32_t total_2D_image_size = num_blocks_x * num_blocks_y * KTX2_UASTC_BLOCK_SIZE;
const uint32_t uncomp_ofs = (layer_index * m_header.m_face_count + face_index) * total_2D_image_size;
// Sanity checks
if (uncomp_ofs >= uncomp_level_data_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: uncomp_ofs >= total_2D_image_size\n");
return false;
}
if ((uncomp_level_data_size - uncomp_ofs) < total_2D_image_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: (uncomp_level_data_size - uncomp_ofs) < total_2D_image_size\n");
return false;
}
if (!m_uastc_transcoder.transcode_image(fmt,
pOutput_blocks, output_blocks_buf_size_in_blocks_or_pixels,
(const uint8_t*)pUncomp_level_data + uncomp_ofs, (uint32_t)total_2D_image_size, num_blocks_x, num_blocks_y, level_width, level_height, level_index,
0, (uint32_t)total_2D_image_size,
decode_flags, m_has_alpha, m_is_video, output_row_pitch_in_blocks_or_pixels, nullptr, output_rows_in_pixels, channel0, channel1))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: UASTC transcode_image() failed, this is either a bug or the file is corrupted/invalid\n");
return false;
}
}
else
{
// Shouldn't get here.
BASISU_DEVEL_ERROR("ktx2_transcoder::transcode_image_2D: Internal error\n");
assert(0);
return false;
}
return true;
}
bool ktx2_transcoder::decompress_level_data(uint32_t level_index, basisu::uint8_vec& uncomp_data)
{
const uint8_t* pComp_data = m_levels[level_index].m_byte_offset + m_pData;
const uint64_t comp_size = m_levels[level_index].m_byte_length;
const uint64_t uncomp_size = m_levels[level_index].m_uncompressed_byte_length;
if (((size_t)comp_size) != comp_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_level_data: Compressed data too large\n");
return false;
}
if (((size_t)uncomp_size) != uncomp_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_level_data: Uncompressed data too large\n");
return false;
}
if (!uncomp_data.try_resize((size_t)uncomp_size))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_level_data: Out of memory\n");
return false;
}
if (m_header.m_supercompression_scheme == KTX2_SS_ZSTANDARD)
{
#if BASISD_SUPPORT_KTX2_ZSTD
size_t actualUncompSize = ZSTD_decompress(uncomp_data.data(), (size_t)uncomp_size, pComp_data, (size_t)comp_size);
if (ZSTD_isError(actualUncompSize))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_level_data: Zstd decompression failed, file is invalid or corrupted\n");
return false;
}
if (actualUncompSize != uncomp_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_level_data: Zstd decompression returned too few bytes, file is invalid or corrupted\n");
return false;
}
#else
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_level_data: File uses Zstd supercompression, but Zstd support was not enabled at compile time (BASISD_SUPPORT_KTX2_ZSTD is 0)\n");
return false;
#endif
}
return true;
}
bool ktx2_transcoder::decompress_etc1s_global_data()
{
// Note: we don't actually support 3D textures in here yet
//uint32_t layer_pixel_depth = basisu::maximum<uint32_t>(m_header.m_pixel_depth, 1);
//for (uint32_t i = 1; i < m_header.m_level_count; i++)
// layer_pixel_depth += basisu::maximum<uint32_t>(m_header.m_pixel_depth >> i, 1);
const uint32_t image_count = basisu::maximum<uint32_t>(m_header.m_layer_count, 1) * m_header.m_face_count * m_header.m_level_count;
assert(image_count);
const uint8_t* pSrc = m_pData + m_header.m_sgd_byte_offset;
memcpy(&m_etc1s_header, pSrc, sizeof(ktx2_etc1s_global_data_header));
pSrc += sizeof(ktx2_etc1s_global_data_header);
if ((!m_etc1s_header.m_endpoints_byte_length) || (!m_etc1s_header.m_selectors_byte_length) || (!m_etc1s_header.m_tables_byte_length))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: Invalid ETC1S global data\n");
return false;
}
if ((!m_etc1s_header.m_endpoint_count) || (!m_etc1s_header.m_selector_count))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: endpoint and/or selector count is 0, file is invalid or corrupted\n");
return false;
}
// Sanity check the ETC1S header.
if ((sizeof(ktx2_etc1s_global_data_header) +
sizeof(ktx2_etc1s_image_desc) * image_count +
m_etc1s_header.m_endpoints_byte_length +
m_etc1s_header.m_selectors_byte_length +
m_etc1s_header.m_tables_byte_length +
m_etc1s_header.m_extended_byte_length) > m_header.m_sgd_byte_length)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: SGD byte length is too small, file is invalid or corrupted\n");
return false;
}
if (!m_etc1s_image_descs.try_resize(image_count))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: Out of memory\n");
return false;
}
memcpy(m_etc1s_image_descs.data(), pSrc, sizeof(ktx2_etc1s_image_desc) * image_count);
pSrc += sizeof(ktx2_etc1s_image_desc) * image_count;
// Sanity check the ETC1S image descs
for (uint32_t i = 0; i < image_count; i++)
{
// m_etc1s_transcoder.transcode_image() will validate the slice offsets/lengths before transcoding.
if (!m_etc1s_image_descs[i].m_rgb_slice_byte_length)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: ETC1S image descs sanity check failed (1)\n");
return false;
}
if (m_has_alpha)
{
if (!m_etc1s_image_descs[i].m_alpha_slice_byte_length)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: ETC1S image descs sanity check failed (2)\n");
return false;
}
}
}
const uint8_t* pEndpoint_data = pSrc;
const uint8_t* pSelector_data = pSrc + m_etc1s_header.m_endpoints_byte_length;
const uint8_t* pTables_data = pSrc + m_etc1s_header.m_endpoints_byte_length + m_etc1s_header.m_selectors_byte_length;
if (!m_etc1s_transcoder.decode_tables(pTables_data, m_etc1s_header.m_tables_byte_length))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: decode_tables() failed, file is invalid or corrupted\n");
return false;
}
if (!m_etc1s_transcoder.decode_palettes(
m_etc1s_header.m_endpoint_count, pEndpoint_data, m_etc1s_header.m_endpoints_byte_length,
m_etc1s_header.m_selector_count, pSelector_data, m_etc1s_header.m_selectors_byte_length))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::decompress_etc1s_global_data: decode_palettes() failed, file is likely corrupted\n");
return false;
}
return true;
}
bool ktx2_transcoder::read_key_values()
{
if (!m_header.m_kvd_byte_length)
{
if (m_header.m_kvd_byte_offset)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Invalid KVD byte offset (it should be zero when the length is zero)\n");
return false;
}
return true;
}
if (m_header.m_kvd_byte_offset < sizeof(ktx2_header))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Invalid KVD byte offset\n");
return false;
}
if ((m_header.m_kvd_byte_offset + m_header.m_kvd_byte_length) > m_data_size)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Invalid KVD byte offset and/or length\n");
return false;
}
const uint8_t* pSrc = m_pData + m_header.m_kvd_byte_offset;
uint32_t src_left = m_header.m_kvd_byte_length;
if (!m_key_values.try_reserve(8))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Out of memory\n");
return false;
}
while (src_left > sizeof(uint32_t))
{
uint32_t l = basisu::read_le_dword(pSrc);
pSrc += sizeof(uint32_t);
src_left -= sizeof(uint32_t);
if (l < 2)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Failed reading key value fields (0)\n");
return false;
}
if (src_left < l)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Failed reading key value fields (1)\n");
return false;
}
if (!m_key_values.try_resize(m_key_values.size() + 1))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Out of memory\n");
return false;
}
basisu::uint8_vec& key_data = m_key_values.back().m_key;
basisu::uint8_vec& value_data = m_key_values.back().m_value;
do
{
if (!l)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Failed reading key value fields (2)\n");
return false;
}
if (!key_data.try_push_back(*pSrc++))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Out of memory\n");
return false;
}
src_left--;
l--;
} while (key_data.back());
if (!value_data.try_resize(l))
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Out of memory\n");
return false;
}
if (l)
{
memcpy(value_data.data(), pSrc, l);
pSrc += l;
src_left -= l;
}
uint32_t ofs = (uint32_t)(pSrc - m_pData) & 3;
uint32_t alignment_bytes = (4 - ofs) & 3;
if (src_left < alignment_bytes)
{
BASISU_DEVEL_ERROR("ktx2_transcoder::read_key_values: Failed reading key value fields (3)\n");
return false;
}
pSrc += alignment_bytes;
src_left -= alignment_bytes;
}
return true;
}
#endif // BASISD_SUPPORT_KTX2
bool basisu_transcoder_supports_ktx2()
{
#if BASISD_SUPPORT_KTX2
return true;
#else
return false;
#endif
}
bool basisu_transcoder_supports_ktx2_zstd()
{
#if BASISD_SUPPORT_KTX2_ZSTD
return true;
#else
return false;
#endif
}
} // namespace basist
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_transcoder_tables_pvrtc2_alpha_33.inc | {0,0,20},{0,0,20},{0,0,97},{0,0,145},{0,0,56},{0,0,104},{0,0,181},{0,0,406},{0,0,204},{0,0,442},{0,0,20},{0,0,20},{0,0,97},{0,0,145},{0,0,56},{0,0,104},{0,0,181},{0,0,406},{0,0,168},{0,0,406},{0,0,16},{0,0,16},{0,0,16},{0,0,64},{0,0,52},{0,0,100},{0,0,100},{0,0,325},{0,0,200},{0,0,361},{0,0,16},
{0,0,16},{0,0,16},{0,0,64},{0,0,52},{0,0,100},{0,0,100},{0,0,325},{0,0,164},{0,0,325},{0,0,20},{0,0,20},{0,0,97},{0,0,145},{0,0,20},{0,0,68},{0,0,145},{0,0,306},{0,0,68},{0,0,306},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,1,126},{0,0,88},{0,0,53},
{0,0,37},{0,0,116},{0,0,36},{0,0,1},{0,0,66},{0,0,88},{0,0,102},{0,1,126},{0,0,88},{0,0,53},{0,0,37},{0,0,116},{0,0,36},{0,0,1},{0,0,66},{0,0,52},{0,0,66},{0,0,52},{0,0,52},{0,0,52},{0,0,36},{0,0,16},{0,0,0},{0,0,0},{0,0,65},{0,0,52},{0,0,101},{0,0,52},{0,0,52},{0,0,52},{0,0,36},{0,0,16},
{0,0,0},{0,0,0},{0,0,65},{0,0,16},{0,0,65},{0,1,90},{0,0,52},{0,0,17},{0,0,1},{0,1,90},{0,0,36},{0,0,1},{0,0,50},{0,0,36},{0,0,50},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,0,0},{0,0,0},{0,0,0},{0,0,16},{0,0,52},{0,0,52},{0,1,286},{0,1,310},{0,0,453},{0,0,373},{0,1,115},{0,1,307},{0,0,241},
{0,0,130},{0,0,280},{0,0,70},{0,1,222},{0,1,246},{0,0,389},{0,0,309},{0,1,51},{1,0,195},{0,0,177},{0,0,66},{1,0,107},{0,0,66},{0,1,261},{0,1,261},{0,1,261},{0,0,324},{0,1,90},{0,0,192},{0,0,192},{0,0,81},{0,0,84},{0,0,21},{0,1,197},{0,1,197},{0,1,197},{0,0,260},{0,1,26},{0,0,128},{0,0,128},{0,0,17},{0,0,80},
{0,0,17},{0,1,26},{0,1,50},{1,0,130},{1,0,74},{0,1,26},{1,0,26},{1,0,74},{0,0,50},{1,0,26},{0,0,50},{0,0,260},{0,0,260},{0,0,260},{0,0,260},{0,1,89},{0,1,89},{0,1,89},{0,0,80},{0,0,20},{0,0,20},{1,0,494},{1,0,550},{1,0,694},{1,0,702},{0,2,363},{0,1,291},{1,0,583},{1,0,631},{0,1,116},{1,0,428},{1,0,170},
{1,0,226},{1,0,370},{1,0,378},{1,0,51},{0,1,35},{1,0,259},{1,0,307},{1,0,91},{1,0,307},{1,0,469},{1,0,469},{1,0,469},{1,0,477},{0,1,314},{0,1,290},{0,1,290},{1,0,406},{0,1,115},{1,0,203},{1,0,145},{1,0,145},{1,0,145},{1,0,153},{1,0,26},{1,0,34},{1,0,34},{1,0,82},{1,0,10},{1,0,82},{1,0,26},{0,1,50},{1,0,226},
{1,0,234},{1,0,26},{0,1,26},{1,0,234},{0,0,306},{0,1,26},{0,0,306},{1,0,468},{1,0,468},{1,0,468},{1,0,468},{0,1,265},{0,1,265},{0,1,265},{1,0,325},{0,1,90},{0,1,90},{1,1,116},{1,1,124},{1,1,215},{1,1,271},{1,1,188},{1,1,252},{1,1,343},{1,1,606},{0,1,152},{0,1,392},{1,1,35},{1,1,43},{1,1,134},{1,1,190},{1,1,107},
{1,1,171},{0,1,260},{0,1,356},{2,0,51},{0,1,356},{1,1,115},{1,1,115},{1,1,115},{1,1,171},{1,0,161},{1,0,241},{1,0,241},{1,0,469},{0,1,52},{0,1,292},{1,1,34},{1,1,34},{1,1,34},{1,1,90},{0,2,16},{1,0,160},{1,0,160},{0,1,256},{0,1,16},{0,1,256},{1,1,26},{1,1,34},{1,1,125},{0,1,116},{1,1,26},{2,0,26},{0,1,116},
{0,1,356},{2,0,26},{0,1,356},{1,0,90},{1,0,90},{1,0,90},{1,0,90},{1,0,97},{1,0,97},{1,0,97},{1,0,145},{0,1,36},{0,1,36},{1,1,116},{1,1,60},{1,1,39},{1,1,31},{1,1,92},{1,1,28},{1,1,7},{1,1,94},{1,1,100},{1,1,142},{1,1,115},{1,1,59},{1,1,38},{1,1,30},{0,3,51},{1,1,27},{1,1,6},{1,1,93},{1,1,51},
{1,1,93},{1,1,35},{1,1,35},{1,1,35},{1,1,27},{1,1,11},{1,1,3},{1,1,3},{1,1,90},{1,1,75},{1,1,138},{1,1,34},{1,1,34},{1,1,34},{1,1,26},{1,1,10},{1,1,2},{1,1,2},{1,1,89},{1,1,26},{1,1,89},{2,0,26},{1,1,34},{1,1,13},{1,1,5},{2,0,26},{3,0,26},{1,1,5},{0,1,68},{3,0,26},{0,1,68},{1,0,26},
{1,0,26},{1,0,26},{1,0,26},{1,1,2},{1,1,2},{1,1,2},{1,1,26},{1,1,74},{1,1,74},{1,2,238},{1,2,286},{1,1,375},{1,1,303},{1,2,105},{1,1,316},{1,1,183},{1,1,94},{0,2,156},{1,1,46},{1,2,189},{1,2,237},{1,1,326},{1,1,254},{1,2,56},{2,1,232},{1,1,134},{1,1,45},{0,2,56},{1,1,45},{1,2,222},{1,2,222},{1,2,222},
{1,1,267},{1,2,89},{1,1,147},{1,1,147},{1,1,58},{1,1,59},{1,1,10},{1,2,173},{1,2,173},{1,2,173},{1,1,218},{2,0,10},{1,1,98},{1,1,98},{1,1,9},{3,0,10},{1,1,9},{1,2,20},{1,2,68},{2,1,136},{2,1,72},{1,2,20},{0,2,20},{2,1,72},{0,1,36},{0,2,20},{0,1,36},{1,0,218},{1,0,218},{1,0,218},{1,0,218},{1,2,85},
{1,2,85},{1,2,85},{1,1,58},{1,1,10},{1,1,10},{2,1,550},{2,1,598},{2,1,730},{2,1,730},{1,3,361},{1,2,265},{2,1,597},{1,1,606},{1,2,152},{2,1,408},{2,1,189},{2,1,237},{2,1,369},{2,1,369},{2,1,56},{1,2,40},{2,1,236},{2,1,264},{4,0,56},{2,1,264},{2,1,534},{2,1,534},{2,1,534},{2,1,534},{1,2,265},{1,2,265},{1,2,265},
{1,1,410},{2,1,152},{2,1,212},{2,1,173},{2,1,173},{2,1,173},{2,1,173},{0,4,8},{2,1,40},{2,1,40},{2,1,68},{2,1,8},{2,1,68},{2,1,20},{1,2,36},{2,1,200},{2,1,200},{2,1,20},{4,0,20},{2,1,200},{0,1,260},{4,0,20},{0,1,260},{2,0,530},{2,0,530},{2,0,530},{2,0,530},{1,2,229},{1,2,229},{1,2,229},{1,2,325},{1,2,116},
{1,2,116},{2,2,152},{2,2,168},{2,2,273},{2,2,337},{2,2,236},{2,2,316},{2,2,421},{2,2,706},{1,2,116},{1,2,436},{2,2,52},{2,2,68},{2,2,173},{2,2,237},{3,0,56},{1,2,211},{1,2,251},{1,2,411},{3,1,56},{1,2,411},{2,2,152},{2,2,152},{2,2,152},{2,2,216},{2,1,158},{2,1,230},{2,1,230},{2,1,438},{1,2,35},{1,2,315},{2,2,52},
{2,2,52},{2,2,52},{2,2,116},{1,3,10},{2,1,130},{2,1,130},{1,2,290},{1,2,10},{1,2,290},{3,0,20},{2,2,52},{2,2,157},{1,2,130},{3,0,20},{3,1,20},{1,2,130},{0,2,410},{3,1,20},{0,2,410},{2,0,116},{2,0,116},{2,0,116},{2,0,116},{2,1,109},{2,1,109},{2,1,109},{2,1,149},{1,2,26},{1,2,26},{2,2,88},{2,2,40},{2,2,33},
{2,2,33},{2,2,76},{2,2,28},{2,2,21},{2,2,130},{2,2,120},{2,2,190},{2,2,84},{2,2,36},{2,2,29},{2,2,29},{1,4,56},{2,2,24},{2,2,17},{2,2,126},{2,2,56},{2,2,126},{2,2,24},{2,2,24},{2,2,24},{2,2,24},{2,2,12},{2,2,12},{2,2,12},{2,2,121},{2,2,104},{2,2,181},{2,2,20},{2,2,20},{2,2,20},{2,2,20},{2,2,8},
{2,2,8},{2,2,8},{2,2,117},{5,0,8},{2,2,117},{1,4,20},{2,2,20},{2,2,13},{2,2,13},{1,4,20},{2,2,20},{2,2,13},{0,2,90},{2,2,20},{0,2,90},{2,0,20},{2,0,20},{2,0,20},{2,0,20},{2,2,8},{2,2,8},{2,2,8},{2,2,40},{2,2,100},{2,2,100},{2,3,198},{2,3,270},{2,2,305},{2,2,241},{2,3,103},{2,2,252},{2,2,133},
{2,2,66},{1,3,148},{2,2,30},{2,3,162},{2,3,234},{2,2,269},{2,2,205},{2,3,67},{2,2,216},{2,2,97},{2,2,30},{6,0,67},{2,2,30},{2,3,189},{2,3,189},{2,3,189},{2,2,216},{2,3,94},{2,2,108},{2,2,108},{2,2,41},{2,2,40},{2,2,5},{2,3,153},{2,3,153},{2,3,153},{2,2,180},{3,1,8},{2,2,72},{2,2,72},{2,2,5},{4,1,8},
{2,2,5},{2,3,18},{2,3,90},{2,2,125},{2,2,61},{2,3,18},{6,0,18},{2,2,61},{0,2,26},{6,0,18},{0,2,26},{2,0,180},{2,0,180},{2,0,180},{2,0,180},{2,2,72},{2,2,72},{2,2,72},{2,2,40},{2,2,4},{2,2,4},{3,2,614},{2,3,622},{3,2,774},{3,2,766},{2,3,343},{2,3,247},{3,2,619},{2,2,514},{2,3,196},{2,2,382},{3,2,214},
{3,2,254},{3,2,374},{3,2,366},{4,0,59},{2,3,51},{3,2,219},{3,2,227},{3,2,59},{3,2,227},{3,2,605},{3,2,605},{3,2,605},{3,2,597},{2,3,222},{2,3,246},{2,3,246},{2,2,345},{3,2,179},{2,2,213},{3,2,205},{3,2,205},{3,2,205},{3,2,197},{4,0,10},{3,2,50},{3,2,50},{3,2,58},{3,2,10},{3,2,58},{3,2,18},{2,3,26},{3,2,178},
{3,2,170},{3,2,18},{5,1,18},{3,2,170},{0,2,218},{5,1,18},{0,2,218},{2,0,596},{2,0,596},{2,0,596},{2,0,596},{2,3,197},{2,3,197},{2,3,197},{2,2,296},{2,3,146},{2,3,146},{3,3,196},{3,3,220},{3,3,339},{3,3,411},{3,3,292},{3,3,388},{3,3,507},{3,3,814},{2,3,88},{2,3,488},{3,3,75},{3,3,99},{3,3,218},{3,3,290},{4,1,67},
{2,3,168},{2,3,248},{2,3,472},{4,2,67},{2,3,472},{3,2,182},{3,2,182},{3,2,182},{3,2,246},{3,2,161},{3,2,225},{3,2,225},{3,2,413},{2,3,24},{3,2,308},{3,2,61},{3,2,61},{3,2,61},{3,2,125},{2,4,8},{3,2,104},{3,2,104},{3,2,292},{7,0,8},{3,2,292},{4,1,18},{3,3,74},{3,3,193},{2,3,148},{4,1,18},{4,2,18},{2,3,148},
{0,3,468},{4,2,18},{0,3,468},{3,0,146},{3,0,146},{3,0,146},{3,0,146},{3,2,125},{3,2,125},{3,2,125},{3,2,157},{2,3,20},{2,3,20},{3,3,68},{3,3,28},{3,3,35},{3,3,43},{3,3,68},{3,3,36},{3,3,43},{3,3,174},{3,3,148},{3,3,246},{3,3,59},{3,3,19},{3,3,26},{3,3,34},{3,3,59},{3,3,27},{3,3,34},{2,3,152},{6,1,59},
{2,3,152},{3,3,19},{3,3,19},{3,3,19},{3,3,27},{3,3,19},{3,3,27},{3,3,27},{3,3,158},{3,3,139},{3,3,230},{3,3,10},{3,3,10},{3,3,10},{3,3,18},{3,3,10},{3,3,18},{3,3,18},{2,3,136},{6,1,10},{2,3,136},{5,0,18},{3,3,10},{3,3,17},{3,3,25},{5,0,18},{3,3,18},{3,3,25},{0,3,116},{3,3,18},{0,3,116},{3,0,18},
{3,0,18},{3,0,18},{3,0,18},{3,3,18},{3,3,18},{3,3,18},{3,3,58},{3,3,130},{3,3,130},{3,4,166},{3,4,262},{3,3,243},{3,3,187},{3,4,109},{3,3,196},{3,3,91},{3,3,46},{3,3,148},{3,3,22},{3,4,141},{3,4,237},{3,3,218},{3,3,162},{4,2,59},{3,3,171},{3,3,66},{3,3,21},{5,2,59},{3,3,21},{3,4,162},{3,4,162},{3,4,162},
{3,3,171},{3,4,105},{3,3,75},{3,3,75},{3,3,30},{3,3,27},{3,3,6},{3,4,137},{3,4,137},{3,4,137},{3,3,146},{4,2,10},{3,3,50},{3,3,50},{3,3,5},{5,2,10},{3,3,5},{3,4,20},{3,4,116},{3,3,97},{3,3,41},{3,4,20},{7,1,20},{3,3,41},{0,3,20},{7,1,20},{0,3,20},{3,0,146},{3,0,146},{3,0,146},{3,0,146},{3,3,50},
{3,3,50},{3,3,50},{3,3,26},{3,3,2},{3,3,2},{3,5,598},{3,4,550},{4,3,826},{4,3,810},{3,4,285},{3,4,237},{4,3,649},{3,3,430},{4,3,248},{3,3,310},{4,3,245},{4,3,277},{4,3,385},{4,3,369},{5,1,52},{3,4,68},{4,3,208},{4,3,196},{4,3,52},{4,3,196},{3,4,546},{3,4,546},{3,4,546},{3,4,594},{3,4,185},{3,4,233},{3,4,233},
{3,3,286},{4,3,212},{3,3,166},{4,3,241},{4,3,241},{4,3,241},{4,3,225},{5,1,16},{4,3,64},{4,3,64},{4,3,52},{7,1,16},{4,3,52},{4,3,20},{3,4,20},{4,3,160},{4,3,144},{4,3,20},{6,2,20},{4,3,144},{0,3,180},{6,2,20},{0,3,180},{3,0,530},{3,0,530},{3,0,530},{3,0,530},{3,4,169},{3,4,169},{3,4,169},{3,3,250},{3,3,130},
{3,3,130},{4,4,248},{4,4,280},{4,4,413},{4,4,493},{4,3,291},{4,3,451},{4,4,601},{4,3,835},{3,4,68},{3,4,548},{4,4,104},{4,4,136},{4,4,269},{4,4,349},{6,0,59},{3,4,131},{3,4,251},{3,4,539},{3,4,59},{3,4,539},{4,3,205},{4,3,205},{4,3,205},{4,3,261},{4,3,170},{4,3,226},{4,3,226},{4,3,394},{3,4,19},{4,3,275},{4,3,61},
{4,3,61},{4,3,61},{4,3,117},{6,0,10},{4,3,82},{4,3,82},{4,3,250},{3,4,10},{4,3,250},{5,2,20},{4,4,100},{4,4,233},{3,4,170},{5,2,20},{5,3,20},{3,4,170},{0,4,530},{5,3,20},{0,4,530},{4,0,180},{4,0,180},{4,0,180},{4,0,180},{4,3,145},{4,3,145},{4,3,145},{4,3,169},{3,4,18},{3,4,18},{4,4,56},{4,4,24},{4,4,45},
{4,4,61},{4,4,68},{4,4,52},{4,4,73},{4,4,226},{4,4,184},{3,4,292},{4,4,40},{4,4,8},{4,4,29},{4,4,45},{4,4,52},{4,4,36},{4,4,57},{3,4,171},{7,2,52},{3,4,171},{4,4,20},{4,4,20},{4,4,20},{4,4,36},{4,4,32},{4,4,48},{4,4,48},{4,4,201},{4,4,180},{3,4,267},{4,4,4},{4,4,4},{4,4,4},{4,4,20},{5,2,16},
{4,4,32},{4,4,32},{3,4,146},{7,2,16},{3,4,146},{6,1,20},{4,4,4},{4,4,25},{4,4,41},{6,1,20},{4,4,20},{4,4,41},{0,4,146},{4,4,20},{0,4,146},{4,0,20},{4,0,20},{4,0,20},{4,0,20},{4,4,32},{4,4,32},{4,4,32},{4,4,80},{3,4,146},{3,4,146},{4,5,142},{4,5,262},{4,4,189},{4,4,141},{4,5,123},{4,4,148},{4,4,57},
{4,4,34},{4,4,120},{4,4,22},{4,5,126},{4,5,246},{4,4,173},{4,4,125},{5,3,52},{4,4,132},{4,4,41},{4,4,18},{6,3,52},{4,4,18},{4,5,141},{4,5,141},{4,5,141},{4,4,132},{4,4,96},{4,4,48},{4,4,48},{4,4,25},{4,4,20},{4,4,13},{4,5,125},{4,5,125},{4,5,125},{4,4,116},{6,1,16},{4,4,32},{4,4,32},{4,4,9},{6,3,16},
{4,4,9},{7,0,26},{4,5,146},{4,4,73},{4,4,25},{7,0,26},{3,5,26},{4,4,25},{0,4,18},{3,5,26},{0,4,18},{4,0,116},{4,0,116},{4,0,116},{4,0,116},{4,4,32},{4,4,32},{4,4,32},{4,4,16},{4,4,4},{4,4,4},{4,5,558},{4,5,486},{4,4,845},{4,4,733},{4,5,235},{4,5,235},{4,4,553},{4,4,354},{5,4,276},{4,4,246},{5,4,282},
{5,4,306},{5,4,402},{5,4,378},{6,2,51},{4,5,91},{5,4,203},{5,4,171},{5,4,51},{5,4,171},{4,5,477},{4,5,477},{4,5,477},{4,5,549},{4,5,154},{4,5,226},{4,5,226},{4,4,233},{3,5,235},{4,4,125},{5,4,281},{5,4,281},{5,4,281},{5,4,257},{7,0,10},{5,4,82},{5,4,82},{5,4,50},{3,5,10},{5,4,50},{6,2,26},{4,5,18},{5,4,146},
{5,4,122},{6,2,26},{7,3,26},{5,4,122},{0,4,146},{7,3,26},{0,4,146},{4,0,468},{4,0,468},{4,0,468},{4,0,468},{4,5,145},{4,5,145},{4,5,145},{4,4,208},{4,4,100},{4,4,100},{5,5,308},{5,5,348},{5,5,495},{5,5,583},{5,4,285},{5,4,429},{5,4,633},{5,4,781},{4,5,56},{4,5,616},{5,5,139},{5,5,179},{5,5,326},{5,5,414},{7,1,52},
{4,5,100},{4,5,260},{5,4,612},{4,5,52},{5,4,612},{5,4,234},{5,4,234},{5,4,234},{5,4,282},{5,4,185},{5,4,233},{5,4,233},{5,4,381},{4,5,20},{5,4,248},{5,4,65},{5,4,65},{5,4,65},{5,4,113},{7,1,16},{5,4,64},{5,4,64},{5,4,212},{7,3,16},{5,4,212},{6,3,26},{5,5,130},{5,5,277},{4,5,196},{6,3,26},{6,4,26},{4,5,196},
{0,4,596},{6,4,26},{0,4,596},{5,0,218},{5,0,218},{5,0,218},{5,0,218},{5,4,169},{5,4,169},{5,4,169},{5,4,185},{4,5,20},{4,5,20},{5,5,52},{5,5,28},{5,5,63},{5,5,87},{5,5,76},{5,5,76},{5,5,111},{5,5,286},{5,5,228},{4,5,296},{5,5,27},{5,5,3},{5,5,38},{5,5,62},{5,5,51},{5,5,51},{5,5,86},{4,5,196},{3,6,51},
{4,5,196},{5,5,27},{5,5,27},{5,5,27},{5,5,51},{5,5,51},{5,5,75},{5,5,75},{5,5,250},{4,5,180},{4,5,260},{5,5,2},{5,5,2},{5,5,2},{5,5,26},{6,3,10},{5,5,50},{5,5,50},{4,5,160},{6,4,10},{4,5,160},{7,2,26},{5,5,2},{5,5,37},{5,5,61},{7,2,26},{5,5,26},{5,5,61},{0,5,180},{5,5,26},{0,5,180},{5,0,26},
{5,0,26},{5,0,26},{5,0,26},{5,5,50},{5,5,50},{5,5,50},{5,5,106},{4,5,116},{4,5,116},{5,6,126},{5,5,220},{5,5,143},{5,5,103},{5,6,145},{5,5,108},{5,5,31},{5,5,30},{5,5,100},{5,5,30},{5,6,117},{5,5,211},{5,5,134},{5,5,94},{6,4,51},{5,5,99},{5,5,22},{5,5,21},{7,4,51},{5,5,21},{5,6,126},{5,6,126},{5,6,126},
{5,5,99},{5,5,67},{5,5,27},{5,5,27},{5,5,26},{5,5,19},{5,5,26},{5,6,117},{5,6,117},{5,6,117},{5,5,90},{7,2,10},{5,5,18},{5,5,18},{5,5,17},{5,5,10},{5,5,17},{6,4,26},{5,5,130},{5,5,53},{5,5,13},{6,4,26},{7,4,26},{5,5,13},{0,5,20},{7,4,26},{0,5,20},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{5,5,18},
{5,5,18},{5,5,18},{5,5,10},{5,5,10},{5,5,10},{5,6,478},{5,6,430},{5,5,735},{5,5,631},{5,6,193},{5,6,241},{5,5,463},{5,5,286},{4,6,268},{5,5,190},{6,5,325},{5,6,309},{6,5,425},{6,5,393},{7,3,56},{6,5,120},{6,5,204},{6,5,152},{6,5,56},{6,5,152},{5,6,414},{5,6,414},{5,6,414},{5,6,510},{5,6,129},{5,6,225},{5,6,225},
{5,5,186},{5,5,195},{5,5,90},{5,6,293},{5,6,293},{5,6,293},{6,5,293},{5,6,8},{6,5,104},{6,5,104},{6,5,52},{4,6,8},{6,5,52},{7,3,20},{5,6,20},{6,5,136},{6,5,104},{7,3,20},{6,5,20},{6,5,104},{0,5,116},{6,5,20},{0,5,116},{5,0,410},{5,0,410},{5,0,410},{5,0,410},{5,6,125},{5,6,125},{5,6,125},{5,5,170},{5,5,74},
{5,5,74},{6,5,350},{6,6,424},{6,6,585},{6,5,670},{6,5,287},{6,5,415},{6,5,607},{6,5,735},{5,6,52},{6,5,588},{6,5,154},{6,6,228},{6,6,389},{6,5,474},{5,7,51},{5,6,75},{5,6,275},{6,5,539},{5,6,51},{6,5,539},{6,5,269},{6,5,269},{6,5,269},{6,5,309},{6,5,206},{6,5,246},{6,5,246},{6,5,374},{5,6,27},{6,5,227},{6,5,73},
{6,5,73},{6,5,73},{6,5,113},{6,5,10},{6,5,50},{6,5,50},{6,5,178},{3,7,10},{6,5,178},{5,7,26},{5,6,146},{6,6,325},{5,6,226},{5,7,26},{5,6,26},{5,6,226},{0,5,530},{5,6,26},{0,5,530},{6,0,260},{6,0,260},{6,0,260},{6,0,260},{6,5,197},{6,5,197},{6,5,197},{6,5,205},{5,6,26},{5,6,26},{6,6,56},{6,6,40},{6,6,89},
{6,6,121},{6,6,92},{6,6,108},{6,6,157},{6,6,354},{6,6,280},{5,6,308},{6,6,20},{6,6,4},{6,6,53},{6,6,85},{6,6,56},{6,6,72},{6,6,121},{5,6,227},{4,7,56},{5,6,227},{6,6,40},{6,6,40},{6,6,40},{6,6,72},{6,6,76},{6,6,108},{6,6,108},{6,6,305},{5,6,139},{5,6,259},{6,6,4},{6,6,4},{6,6,4},{6,6,36},{7,4,8},
{6,6,72},{6,6,72},{5,6,178},{7,5,8},{5,6,178},{6,6,20},{6,6,4},{6,6,53},{6,6,85},{6,6,20},{4,7,20},{6,6,85},{0,6,218},{4,7,20},{0,6,218},{6,0,36},{6,0,36},{6,0,36},{6,0,36},{6,6,72},{6,6,72},{6,6,72},{6,6,136},{5,6,90},{5,6,90},{6,7,118},{6,6,168},{6,6,105},{6,6,73},{6,7,175},{6,6,76},{6,6,13},
{6,6,34},{6,6,88},{6,6,46},{6,7,114},{6,6,164},{6,6,101},{6,6,69},{7,5,56},{6,6,72},{6,6,9},{6,6,30},{6,6,72},{6,6,30},{6,6,104},{6,6,104},{6,6,104},{6,6,72},{6,6,44},{6,6,12},{6,6,12},{6,6,33},{6,6,24},{6,6,45},{6,6,100},{6,6,100},{6,6,100},{6,6,68},{7,5,40},{6,6,8},{6,6,8},{6,6,29},{6,6,8},
{6,6,29},{7,5,20},{6,6,100},{6,6,37},{6,6,5},{7,5,20},{5,7,50},{6,6,5},{0,6,26},{5,7,50},{0,6,26},{6,0,68},{6,0,68},{6,0,68},{6,0,68},{6,6,8},{6,6,8},{6,6,8},{6,6,8},{6,6,20},{6,6,20},{6,7,406},{6,7,382},{6,6,633},{6,6,537},{6,7,159},{6,7,255},{6,6,381},{6,6,226},{5,7,228},{6,6,142},{6,7,306},
{6,7,282},{7,6,454},{7,6,414},{6,7,59},{7,6,139},{7,6,211},{6,6,126},{5,7,59},{6,6,126},{6,7,357},{6,7,357},{6,7,357},{6,6,456},{6,7,110},{6,7,230},{6,7,230},{6,6,145},{6,6,152},{6,6,61},{6,7,257},{6,7,257},{6,7,257},{7,6,333},{6,7,10},{7,6,130},{7,6,130},{6,6,45},{5,7,10},{6,6,45},{7,6,50},{6,7,26},{7,6,130},
{7,6,90},{7,6,50},{7,6,18},{7,6,90},{0,6,90},{7,6,18},{0,6,90},{6,0,356},{6,0,356},{6,0,356},{6,0,356},{6,7,109},{6,7,109},{6,7,109},{6,6,136},{6,6,52},{6,6,52},{7,6,374},{7,6,454},{7,6,634},{7,6,666},{7,6,297},{7,6,409},{7,6,589},{7,6,697},{6,7,56},{7,6,536},{7,6,149},{7,6,229},{7,6,409},{7,6,441},{7,6,72},
{6,7,56},{6,7,296},{7,6,472},{6,7,56},{7,6,472},{7,6,310},{7,6,310},{7,6,310},{7,6,342},{7,6,233},{7,6,265},{7,6,265},{7,6,373},{6,7,40},{7,6,212},{7,6,85},{7,6,85},{7,6,85},{7,6,117},{7,6,8},{7,6,40},{7,6,40},{7,6,148},{7,6,40},{7,6,148},{7,6,68},{6,7,116},{7,6,328},{6,7,260},{7,6,68},{6,7,20},{6,7,260},
{0,6,468},{6,7,20},{0,6,468},{7,0,306},{7,0,306},{7,0,306},{7,0,306},{7,6,229},{7,6,229},{7,6,229},{7,6,229},{6,7,36},{6,7,36},{7,7,68},{7,7,60},{7,7,123},{7,7,163},{7,7,116},{7,7,148},{7,7,211},{7,7,430},{6,7,248},{6,7,328},{7,7,19},{7,7,11},{7,7,74},{7,7,114},{7,7,67},{7,7,99},{7,7,162},{6,7,264},{7,7,171},
{6,7,264},{7,7,59},{7,7,59},{7,7,59},{7,7,99},{7,7,107},{7,7,147},{7,7,147},{7,7,366},{6,7,104},{6,7,264},{7,7,10},{7,7,10},{7,7,10},{7,7,50},{7,7,58},{7,7,98},{7,7,98},{6,7,200},{6,7,40},{6,7,200},{7,7,18},{7,7,10},{7,7,73},{6,7,100},{7,7,18},{7,7,50},{6,7,100},{0,7,260},{7,7,50},{0,7,260},{7,0,50},
{7,0,50},{7,0,50},{7,0,50},{7,6,85},{7,6,85},{7,6,85},{7,6,149},{6,7,68},{6,7,68},{7,7,196},{7,7,124},{7,7,75},{7,7,51},{7,7,148},{7,7,52},{7,7,3},{7,7,46},{7,7,84},{7,7,70},{7,7,195},{7,7,123},{7,7,74},{7,7,50},{7,7,147},{7,7,51},{7,7,2},{7,7,45},{7,7,59},{7,7,45},{7,7,75},{7,7,75},{7,7,75},
{7,7,51},{7,7,27},{7,7,3},{7,7,3},{7,7,46},{7,7,35},{7,7,70},{7,7,74},{7,7,74},{7,7,74},{7,7,50},{7,7,26},{7,7,2},{7,7,2},{7,7,45},{7,7,10},{7,7,45},{7,7,146},{7,7,74},{7,7,25},{7,7,1},{7,7,146},{7,7,50},{7,7,1},{0,7,36},{7,7,50},{0,7,36},{7,0,50},{7,0,50},{7,0,50},{7,0,50},{7,7,2},
{7,7,2},{7,7,2},{7,7,10},{7,7,34},{7,7,34},{7,7,548},{7,7,476},{7,7,427},{7,7,355},{7,7,404},{7,7,260},{7,7,211},{7,7,106},{7,7,132},{7,7,34},{7,7,467},{7,7,395},{7,7,346},{7,7,274},{7,7,323},{7,7,179},{7,7,130},{7,7,25},{7,7,123},{7,7,25},{7,7,427},{7,7,427},{7,7,427},{7,7,355},{7,7,283},{7,7,211},{7,7,211},
{7,7,106},{7,7,83},{7,7,34},{7,7,346},{7,7,346},{7,7,346},{7,7,274},{7,7,202},{7,7,130},{7,7,130},{7,7,25},{7,7,74},{7,7,25},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,306},{7,0,306},{7,0,306},{7,0,306},{7,7,162},{7,7,162},{7,7,162},{7,7,106},{7,7,34},
{7,7,34},{0,0,122},{0,0,50},{0,0,1},{0,0,25},{0,0,158},{0,0,110},{0,0,61},{0,0,244},{0,0,210},{0,0,280},{0,0,122},{0,0,50},{0,0,1},{0,0,25},{0,0,158},{0,0,110},{0,0,61},{0,0,244},{0,0,174},{0,0,244},{0,0,1},{0,0,1},{0,0,1},{0,0,25},{0,0,37},{0,0,61},{0,0,61},{0,0,244},{0,0,161},{0,0,280},{0,0,1},
{0,0,1},{0,0,1},{0,0,25},{0,0,37},{0,0,61},{0,0,61},{0,0,244},{0,0,125},{0,0,244},{0,0,122},{0,0,50},{0,0,1},{0,0,25},{0,0,122},{0,0,74},{0,0,25},{0,0,144},{0,0,74},{0,0,144},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,1,81},{0,1,81},{0,0,122},
{0,0,82},{0,1,328},{0,0,243},{0,0,82},{0,0,129},{0,0,319},{0,0,165},{0,1,81},{0,1,81},{0,0,122},{0,0,82},{0,1,328},{0,0,243},{0,0,82},{0,0,129},{0,0,283},{0,0,129},{0,1,45},{0,1,45},{0,1,45},{0,0,18},{0,0,58},{0,0,18},{0,0,18},{0,0,65},{0,0,94},{0,0,101},{0,1,45},{0,1,45},{0,1,45},{0,0,18},{0,0,58},
{0,0,18},{0,0,18},{0,0,65},{0,0,58},{0,0,65},{0,1,72},{0,1,72},{0,0,113},{0,0,73},{0,1,72},{1,0,104},{0,0,73},{0,0,80},{1,0,104},{0,0,80},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,49},{0,0,85},{0,0,85},{0,2,225},{0,1,129},{0,1,449},{0,0,498},{0,1,264},{0,1,168},{0,0,402},
{0,0,273},{0,0,687},{0,0,309},{0,2,225},{0,1,129},{0,1,449},{0,0,498},{0,1,264},{0,1,168},{0,0,402},{0,0,273},{1,0,248},{0,0,273},{0,1,125},{0,1,125},{0,1,125},{0,1,221},{0,1,68},{0,0,146},{0,0,146},{0,0,17},{0,0,158},{0,0,53},{0,1,125},{0,1,125},{0,1,125},{0,1,221},{0,1,68},{0,0,146},{0,0,146},{0,0,17},{0,0,122},
{0,0,17},{1,0,72},{0,1,8},{1,0,292},{1,0,260},{1,0,72},{1,0,104},{1,0,260},{0,0,272},{1,0,104},{0,0,272},{0,0,121},{0,0,121},{0,0,121},{0,0,121},{0,0,25},{0,0,25},{0,0,25},{0,0,1},{0,0,37},{0,0,37},{0,2,514},{0,2,558},{0,1,610},{0,1,514},{0,2,297},{0,1,153},{0,1,153},{0,1,777},{0,1,392},{0,0,802},{1,1,347},
{1,1,355},{1,1,446},{0,1,465},{0,2,248},{0,1,104},{0,1,104},{0,1,728},{0,1,248},{0,1,728},{0,2,414},{0,2,414},{0,2,414},{0,1,414},{0,1,149},{0,1,53},{0,1,53},{0,0,274},{0,1,292},{0,0,226},{1,0,229},{1,0,229},{1,0,229},{1,0,261},{1,0,68},{0,1,4},{0,1,4},{1,0,160},{1,0,52},{1,0,160},{0,2,104},{1,1,130},{0,1,200},
{0,1,104},{0,2,104},{2,0,74},{0,1,104},{0,1,584},{2,0,74},{0,1,584},{0,0,410},{0,0,410},{0,0,410},{0,0,410},{0,1,49},{0,1,49},{0,1,49},{0,0,130},{0,0,82},{0,0,82},{1,1,464},{1,1,400},{1,1,365},{1,1,397},{1,1,572},{0,2,499},{0,1,387},{0,1,435},{0,1,428},{0,1,188},{1,1,140},{1,1,76},{1,1,41},{1,1,73},{1,1,248},
{1,1,216},{0,1,131},{0,1,179},{2,0,264},{0,1,179},{1,1,364},{1,1,364},{1,1,364},{1,1,396},{0,2,314},{0,1,386},{0,1,386},{0,1,434},{0,1,67},{0,1,187},{1,1,40},{1,1,40},{1,1,40},{1,1,72},{0,2,58},{0,1,130},{0,1,130},{0,1,178},{0,1,58},{0,1,178},{0,3,72},{1,1,40},{1,1,5},{1,1,37},{0,3,72},{1,1,72},{1,1,37},
{0,1,170},{1,1,72},{0,1,170},{1,0,360},{1,0,360},{1,0,360},{1,0,360},{0,2,265},{0,2,265},{0,2,265},{0,1,265},{0,1,18},{0,1,18},{1,2,178},{1,2,202},{1,1,189},{1,1,157},{1,2,463},{1,1,316},{1,1,169},{1,1,238},{0,2,412},{0,1,124},{1,2,78},{1,2,102},{1,1,89},{1,1,57},{2,0,248},{0,2,99},{1,1,69},{0,1,99},{3,0,248},
{0,1,99},{1,1,140},{1,1,140},{1,1,140},{1,1,108},{1,1,152},{1,1,120},{1,1,120},{1,1,189},{0,1,275},{0,1,75},{1,1,40},{1,1,40},{1,1,40},{1,1,8},{1,1,52},{1,1,20},{1,1,20},{0,1,50},{1,1,68},{0,1,50},{1,2,74},{1,2,98},{1,1,85},{1,1,53},{1,2,74},{0,2,74},{1,1,53},{0,1,74},{0,2,74},{0,1,74},{1,0,104},
{1,0,104},{1,0,104},{1,0,104},{1,1,116},{1,1,116},{1,1,116},{1,1,164},{0,1,50},{0,1,50},{1,3,226},{1,2,106},{1,2,466},{1,1,429},{1,2,255},{1,2,207},{1,1,345},{1,1,238},{0,2,252},{1,1,298},{1,3,222},{1,2,102},{1,2,462},{1,1,425},{1,2,251},{1,2,203},{1,1,341},{1,1,234},{0,2,251},{1,1,234},{1,2,105},{1,2,105},{1,2,105},
{1,1,204},{1,2,86},{1,1,120},{1,1,120},{1,1,13},{0,2,83},{1,1,73},{1,2,101},{1,2,101},{1,2,101},{1,1,200},{2,0,52},{1,1,116},{1,1,116},{1,1,9},{3,0,52},{1,1,9},{2,1,74},{1,2,2},{2,1,274},{2,1,234},{2,1,74},{4,0,74},{2,1,234},{0,1,234},{4,0,74},{0,1,234},{1,0,104},{1,0,104},{1,0,104},{1,0,104},{1,1,20},
{1,1,20},{1,1,20},{1,1,4},{1,1,64},{1,1,64},{1,3,450},{1,2,522},{1,2,562},{1,2,490},{1,3,295},{1,2,127},{1,2,167},{1,1,750},{1,2,428},{1,1,714},{2,2,400},{2,2,416},{2,2,521},{1,2,454},{2,1,251},{1,2,91},{1,2,131},{0,2,651},{4,0,251},{0,2,651},{1,3,369},{1,3,369},{1,3,369},{1,2,369},{1,2,118},{1,2,46},{1,2,46},
{1,1,221},{0,2,163},{1,1,185},{2,1,257},{2,1,257},{2,1,257},{2,1,281},{0,4,50},{1,2,10},{1,2,10},{2,1,146},{2,1,50},{2,1,146},{3,0,80},{2,2,160},{1,2,202},{1,2,130},{3,0,80},{3,1,80},{1,2,130},{0,1,650},{3,1,80},{0,1,650},{1,0,360},{1,0,360},{1,0,360},{1,0,360},{1,2,37},{1,2,37},{1,2,37},{1,1,100},{1,1,64},
{1,1,64},{2,2,500},{2,2,444},{2,2,423},{2,2,463},{1,4,588},{1,3,513},{1,2,329},{1,2,441},{0,3,284},{1,2,232},{2,2,139},{2,2,83},{2,2,62},{2,2,102},{3,0,251},{2,2,243},{1,2,104},{1,2,216},{3,1,251},{1,2,216},{2,2,419},{2,2,419},{2,2,419},{2,2,459},{1,3,277},{1,2,325},{1,2,325},{1,2,437},{1,2,68},{1,2,228},{2,2,58},
{2,2,58},{2,2,58},{2,2,98},{1,3,52},{1,2,100},{1,2,100},{1,2,212},{1,2,52},{1,2,212},{1,4,74},{2,2,34},{2,2,13},{1,2,40},{1,4,74},{2,2,74},{1,2,40},{0,2,200},{2,2,74},{0,2,200},{2,0,410},{2,0,410},{2,0,410},{2,0,410},{1,3,241},{1,3,241},{1,3,241},{1,2,241},{1,2,32},{1,2,32},{2,3,202},{2,3,250},{2,2,183},
{2,2,159},{2,2,460},{2,2,316},{2,2,183},{2,2,274},{1,3,468},{1,2,104},{2,3,81},{2,3,129},{2,2,62},{2,2,38},{1,4,251},{1,3,96},{2,2,62},{1,2,88},{2,2,251},{1,2,88},{2,2,147},{2,2,147},{2,2,147},{2,2,123},{2,2,171},{2,2,147},{2,2,147},{2,2,238},{0,3,219},{1,2,68},{2,2,26},{2,2,26},{2,2,26},{2,2,2},{2,2,50},
{2,2,26},{2,2,26},{1,2,52},{5,0,50},{1,2,52},{2,3,80},{2,3,128},{2,2,61},{2,2,37},{2,3,80},{6,0,80},{2,2,37},{0,2,72},{6,0,80},{0,2,72},{2,0,122},{2,0,122},{2,0,122},{2,0,122},{2,2,146},{2,2,146},{2,2,146},{2,2,202},{1,2,32},{1,2,32},{2,3,234},{2,3,90},{2,2,455},{2,2,367},{2,3,253},{2,3,253},{2,2,295},
{2,2,210},{1,3,244},{2,2,282},{2,3,225},{2,3,81},{2,2,446},{2,2,358},{2,3,244},{2,3,244},{2,2,286},{2,2,201},{6,0,244},{2,2,201},{2,3,90},{2,3,90},{2,3,90},{2,2,171},{2,3,109},{2,2,99},{2,2,99},{2,2,14},{1,3,100},{2,2,86},{2,3,81},{2,3,81},{2,3,81},{2,2,162},{3,1,50},{2,2,90},{2,2,90},{2,2,5},{4,1,50},
{2,2,5},{4,0,80},{2,3,0},{3,2,260},{3,2,212},{4,0,80},{5,1,80},{3,2,212},{0,2,200},{5,1,80},{0,2,200},{2,0,90},{2,0,90},{2,0,90},{2,0,90},{2,2,18},{2,2,18},{2,2,18},{2,2,10},{2,2,82},{2,2,82},{2,4,394},{2,3,442},{2,3,522},{2,3,474},{2,4,301},{2,3,109},{2,3,189},{2,2,658},{2,3,472},{2,2,634},{2,4,369},
{2,3,417},{2,3,497},{2,3,449},{3,2,244},{2,3,84},{2,3,164},{3,2,620},{5,1,244},{3,2,620},{2,4,330},{2,4,330},{2,4,330},{2,3,330},{2,3,93},{2,3,45},{2,3,45},{2,2,174},{1,3,132},{2,2,150},{3,2,289},{3,2,289},{3,2,289},{3,2,305},{4,0,52},{2,3,20},{2,3,20},{3,2,136},{3,2,52},{3,2,136},{2,4,80},{2,3,128},{2,3,208},
{2,3,160},{2,4,80},{7,0,80},{2,3,160},{0,2,584},{7,0,80},{0,2,584},{2,0,314},{2,0,314},{2,0,314},{2,0,314},{2,3,29},{2,3,29},{2,3,29},{2,2,74},{2,2,50},{2,2,50},{3,3,544},{3,3,496},{3,3,489},{3,3,537},{2,4,535},{2,4,535},{2,3,279},{2,3,455},{1,4,292},{2,3,284},{3,3,144},{3,3,96},{3,3,89},{3,3,137},{4,1,244},
{3,3,276},{2,3,83},{2,3,259},{4,2,244},{2,3,259},{3,3,480},{3,3,480},{3,3,480},{3,3,528},{2,4,246},{2,3,270},{2,3,270},{2,3,446},{2,3,75},{2,3,275},{3,3,80},{3,3,80},{3,3,80},{3,3,128},{2,4,50},{2,3,74},{2,3,74},{2,3,250},{7,0,50},{2,3,250},{5,0,80},{3,3,32},{3,3,25},{2,3,34},{5,0,80},{6,1,80},{2,3,34},
{0,3,234},{6,1,80},{0,3,234},{3,0,464},{3,0,464},{3,0,464},{3,0,464},{2,4,221},{2,4,221},{2,4,221},{2,3,221},{2,3,50},{2,3,50},{3,4,234},{3,3,304},{3,3,185},{3,3,169},{3,3,452},{3,3,324},{3,3,205},{3,3,318},{1,4,452},{2,3,92},{3,4,90},{3,3,160},{3,3,41},{3,3,25},{5,0,244},{2,4,99},{3,3,61},{2,3,83},{3,3,244},
{2,3,83},{3,3,160},{3,3,160},{3,3,160},{3,3,144},{3,3,196},{3,3,180},{3,3,180},{3,3,293},{2,3,187},{2,3,67},{3,3,16},{3,3,16},{3,3,16},{3,3,0},{3,3,52},{3,3,36},{3,3,36},{2,3,58},{6,1,52},{2,3,58},{4,2,80},{3,3,160},{3,3,41},{3,3,25},{4,2,80},{5,2,80},{3,3,25},{0,3,74},{5,2,80},{0,3,74},{3,0,144},
{3,0,144},{3,0,144},{3,0,144},{3,3,180},{3,3,180},{3,3,180},{3,3,244},{2,3,18},{2,3,18},{3,4,202},{3,4,82},{3,3,393},{3,3,313},{3,4,259},{3,4,307},{3,3,253},{3,3,190},{2,4,244},{3,3,274},{3,4,186},{3,4,66},{3,3,377},{3,3,297},{3,4,243},{2,4,243},{3,3,237},{3,3,174},{7,1,243},{3,3,174},{3,4,81},{3,4,81},{3,4,81},
{3,3,144},{3,4,138},{3,3,84},{3,3,84},{3,3,21},{2,4,123},{3,3,105},{3,4,65},{3,4,65},{3,4,65},{3,3,128},{4,2,52},{3,3,68},{3,3,68},{3,3,5},{5,2,52},{3,3,5},{5,1,74},{3,4,2},{4,3,250},{4,3,194},{5,1,74},{4,3,74},{4,3,194},{0,3,170},{4,3,74},{0,3,170},{3,0,80},{3,0,80},{3,0,80},{3,0,80},{3,3,20},
{3,3,20},{3,3,20},{3,3,20},{3,3,104},{3,3,104},{3,5,346},{3,4,370},{3,4,490},{3,4,466},{3,5,315},{3,4,99},{3,4,219},{3,3,574},{2,4,468},{3,3,562},{3,5,330},{3,4,354},{3,4,474},{3,4,450},{4,3,243},{3,4,83},{3,4,203},{3,3,558},{6,2,243},{3,3,558},{3,5,297},{3,5,297},{3,5,297},{3,4,297},{3,4,74},{3,4,50},{3,4,50},
{3,3,133},{2,4,107},{3,3,121},{3,5,281},{3,5,281},{3,5,281},{3,4,281},{5,1,58},{3,4,34},{3,4,34},{3,3,117},{7,1,58},{3,3,117},{6,0,74},{3,4,98},{3,4,218},{3,4,194},{6,0,74},{3,4,74},{3,4,194},{0,3,522},{3,4,74},{0,3,522},{3,0,272},{3,0,272},{3,0,272},{3,0,272},{3,4,25},{3,4,25},{3,4,25},{3,3,52},{3,3,40},
{3,3,40},{4,4,596},{4,4,556},{4,4,563},{4,4,619},{3,5,477},{3,4,477},{3,4,237},{3,4,477},{2,5,308},{3,4,344},{4,4,155},{4,4,115},{4,4,122},{4,4,178},{5,2,243},{2,5,299},{3,4,68},{2,4,308},{5,3,243},{2,4,308},{4,4,547},{4,4,547},{4,4,547},{4,4,603},{3,5,221},{3,4,221},{3,4,221},{3,4,461},{3,4,88},{3,4,328},{4,4,106},
{4,4,106},{4,4,106},{4,4,162},{6,0,52},{3,4,52},{3,4,52},{2,4,292},{3,4,52},{2,4,292},{4,4,74},{4,4,34},{4,4,41},{3,4,32},{4,4,74},{7,2,74},{3,4,32},{0,4,272},{7,2,74},{0,4,272},{4,0,522},{4,0,522},{4,0,522},{4,0,522},{3,4,205},{3,4,205},{3,4,205},{3,4,205},{3,4,72},{3,4,72},{4,5,274},{4,4,300},{4,4,195},
{4,4,187},{4,4,452},{4,4,340},{4,4,235},{4,4,370},{2,5,404},{3,4,88},{4,5,105},{4,4,131},{4,4,26},{4,4,18},{6,1,243},{3,5,108},{4,4,66},{3,4,84},{4,4,243},{3,4,84},{4,4,179},{4,4,179},{4,4,179},{4,4,171},{4,4,227},{4,4,219},{4,4,219},{4,4,354},{3,4,152},{3,4,72},{4,4,10},{4,4,10},{4,4,10},{4,4,2},{5,2,58},
{4,4,50},{4,4,50},{3,4,68},{7,2,58},{3,4,68},{5,3,74},{4,4,130},{4,4,25},{4,4,17},{5,3,74},{6,3,74},{4,4,17},{0,4,80},{6,3,74},{0,4,80},{4,0,170},{4,0,170},{4,0,170},{4,0,170},{4,3,205},{4,3,205},{4,3,205},{4,3,269},{3,4,8},{3,4,8},{4,5,178},{4,5,82},{4,4,339},{4,4,267},{4,5,273},{4,5,369},{4,4,219},
{4,4,178},{3,5,252},{4,4,274},{4,5,153},{4,5,57},{4,4,314},{4,4,242},{7,0,248},{3,5,204},{4,4,194},{4,4,153},{3,5,248},{4,4,153},{4,5,78},{4,5,78},{4,5,78},{4,4,123},{4,4,147},{4,4,75},{4,4,75},{4,4,34},{3,5,152},{4,4,130},{4,5,53},{4,5,53},{4,5,53},{4,4,98},{6,1,58},{4,4,50},{4,4,50},{4,4,9},{6,3,58},
{4,4,9},{6,2,72},{4,5,8},{5,4,244},{5,4,180},{6,2,72},{5,4,72},{5,4,180},{0,4,144},{5,4,72},{0,4,144},{4,0,74},{4,0,74},{4,0,74},{4,0,74},{4,4,26},{4,4,26},{4,4,26},{4,4,34},{4,4,130},{4,4,130},{4,6,306},{4,5,306},{4,5,466},{4,5,466},{4,6,337},{4,5,97},{4,5,257},{4,4,498},{3,5,412},{4,4,498},{4,6,297},
{4,5,297},{4,5,457},{4,5,457},{5,4,248},{4,5,88},{4,5,248},{4,4,489},{7,3,248},{4,4,489},{4,5,270},{4,5,270},{4,5,270},{4,5,270},{4,5,61},{4,5,61},{4,5,61},{4,4,98},{3,5,88},{4,4,98},{4,5,261},{4,5,261},{4,5,261},{4,5,261},{7,0,52},{4,5,52},{4,5,52},{4,4,89},{3,5,52},{4,4,89},{7,1,72},{4,5,72},{4,5,232},
{3,5,232},{7,1,72},{4,5,72},{3,5,232},{0,4,464},{4,5,72},{0,4,464},{4,0,234},{4,0,234},{4,0,234},{4,0,234},{4,5,25},{4,5,25},{4,5,25},{4,4,34},{4,4,34},{4,4,34},{5,5,656},{5,5,624},{5,5,645},{5,5,709},{4,6,427},{4,5,403},{4,5,203},{4,5,507},{4,5,332},{4,5,412},{5,5,172},{5,5,140},{5,5,161},{5,5,225},{6,3,248},
{4,5,259},{4,5,59},{3,5,339},{6,4,248},{3,5,339},{5,5,620},{5,5,620},{5,5,620},{5,5,684},{4,6,202},{4,5,178},{4,5,178},{4,5,482},{4,5,107},{4,5,387},{5,5,136},{5,5,136},{5,5,136},{5,5,200},{7,1,58},{4,5,34},{4,5,34},{5,4,290},{7,3,58},{5,4,290},{5,5,72},{5,5,40},{5,5,61},{4,5,34},{5,5,72},{3,6,72},{4,5,34},
{0,5,314},{3,6,72},{0,5,314},{5,0,584},{5,0,584},{5,0,584},{5,0,584},{4,5,169},{4,5,169},{4,5,169},{4,5,193},{4,5,98},{4,5,98},{5,6,322},{5,5,304},{5,5,213},{5,5,213},{5,5,460},{5,5,364},{5,5,273},{5,5,430},{3,6,364},{4,5,92},{5,6,126},{5,5,108},{5,5,17},{5,5,17},{7,2,248},{4,6,123},{5,5,77},{4,5,91},{5,5,248},
{4,5,91},{5,5,204},{5,5,204},{5,5,204},{5,5,204},{5,5,264},{5,5,264},{5,5,264},{5,5,421},{4,5,123},{4,5,83},{5,5,8},{5,5,8},{5,5,8},{5,5,8},{6,3,52},{5,5,68},{5,5,68},{4,5,82},{6,4,52},{4,5,82},{6,4,72},{5,5,104},{5,5,13},{5,5,13},{6,4,72},{7,4,72},{5,5,13},{0,5,90},{7,4,72},{0,5,90},{5,0,200},
{5,0,200},{5,0,200},{5,0,200},{5,4,221},{5,4,221},{5,4,221},{5,4,277},{4,5,2},{4,5,2},{5,6,162},{5,6,90},{5,5,293},{5,5,229},{5,6,295},{5,5,396},{5,5,193},{5,5,174},{4,6,268},{5,5,282},{5,6,126},{5,6,54},{5,5,257},{5,5,193},{5,6,259},{4,6,171},{5,5,157},{5,5,138},{4,6,259},{5,5,138},{5,6,81},{5,6,81},{5,6,81},
{5,5,108},{5,5,136},{5,5,72},{5,5,72},{5,5,53},{4,6,187},{5,5,161},{5,6,45},{5,6,45},{5,6,45},{5,5,72},{7,2,52},{5,5,36},{5,5,36},{5,5,17},{5,5,52},{5,5,17},{7,3,74},{5,6,18},{5,5,221},{5,5,157},{7,3,74},{6,5,74},{5,5,157},{0,5,122},{6,5,74},{0,5,122},{5,0,72},{5,0,72},{5,0,72},{5,0,72},{5,5,36},
{5,5,36},{5,5,36},{5,5,52},{5,5,160},{5,5,160},{5,7,274},{5,6,250},{5,6,450},{5,6,474},{5,6,343},{5,6,103},{5,6,303},{5,5,430},{4,6,364},{5,5,442},{5,7,270},{5,6,246},{5,6,446},{5,6,470},{7,3,251},{5,6,99},{5,6,299},{5,5,426},{6,5,251},{5,5,426},{5,6,225},{5,6,225},{5,6,225},{5,6,249},{5,6,54},{5,6,78},{5,6,78},
{5,5,69},{4,6,75},{5,5,81},{5,6,221},{5,6,221},{5,6,221},{5,6,245},{5,6,50},{5,6,74},{5,6,74},{5,5,65},{4,6,50},{5,5,65},{5,7,74},{5,6,50},{5,6,250},{4,6,250},{5,7,74},{5,6,74},{4,6,250},{0,5,410},{5,6,74},{0,5,410},{5,0,200},{5,0,200},{5,0,200},{5,0,200},{5,6,29},{5,6,29},{5,6,29},{5,5,20},{5,5,32},
{5,5,32},{6,6,724},{6,6,700},{6,6,735},{5,6,690},{5,7,385},{5,6,337},{5,6,177},{5,6,545},{5,6,328},{5,6,488},{6,6,195},{6,6,171},{6,6,206},{6,6,278},{7,4,259},{5,6,216},{5,6,56},{4,6,376},{7,5,259},{4,6,376},{5,7,654},{5,7,654},{5,7,654},{5,6,654},{5,7,189},{5,6,141},{5,6,141},{5,6,509},{5,6,132},{5,5,450},{6,5,157},
{6,5,157},{6,5,157},{6,5,221},{6,5,52},{5,6,20},{5,6,20},{6,5,256},{3,7,52},{6,5,256},{6,6,74},{6,6,50},{6,6,85},{5,6,40},{6,6,74},{4,7,74},{5,6,40},{0,6,360},{4,7,74},{0,6,360},{5,0,650},{5,0,650},{5,0,650},{5,0,650},{5,6,137},{5,6,137},{5,6,137},{5,6,185},{5,6,128},{5,6,128},{6,7,378},{6,6,316},{6,6,239},
{6,6,247},{6,6,476},{6,6,396},{6,6,319},{5,6,465},{4,7,332},{5,6,104},{6,7,153},{6,6,91},{6,6,14},{6,6,22},{6,6,251},{5,7,144},{6,6,94},{5,6,104},{4,7,251},{5,6,104},{6,6,235},{6,6,235},{6,6,235},{6,6,243},{6,6,307},{6,6,315},{6,6,315},{5,6,461},{5,6,100},{5,6,100},{6,6,10},{6,6,10},{6,6,10},{6,6,18},{7,4,50},
{6,6,90},{6,6,90},{5,6,100},{7,5,50},{5,6,100},{7,5,74},{6,6,82},{6,6,5},{6,6,13},{7,5,74},{6,6,90},{6,6,13},{0,6,104},{6,6,90},{0,6,104},{6,0,234},{6,0,234},{6,0,234},{6,0,234},{6,5,241},{6,5,241},{6,5,241},{6,5,289},{5,6,0},{5,6,0},{6,7,154},{6,7,106},{6,6,255},{6,6,199},{6,7,325},{6,6,364},{6,6,175},
{6,6,178},{5,7,292},{5,6,232},{6,7,105},{6,7,57},{6,6,206},{6,6,150},{7,5,251},{5,7,144},{6,6,126},{6,6,129},{5,7,276},{6,6,129},{6,7,90},{6,7,90},{6,7,90},{6,6,99},{6,6,131},{6,6,75},{6,6,75},{6,6,78},{6,6,219},{5,6,132},{6,7,41},{6,7,41},{6,7,41},{6,6,50},{7,5,82},{6,6,26},{6,6,26},{6,6,29},{6,6,50},
{6,6,29},{6,7,80},{6,7,32},{6,6,181},{6,6,125},{6,7,80},{7,6,80},{6,6,125},{0,6,104},{7,6,80},{0,6,104},{6,0,74},{6,0,74},{6,0,74},{6,0,74},{6,6,50},{6,6,50},{6,6,50},{6,6,74},{5,6,128},{5,6,128},{6,7,442},{6,7,202},{6,7,442},{6,7,490},{6,7,309},{6,7,117},{6,7,357},{6,6,370},{5,7,324},{6,6,394},{6,7,441},
{6,7,201},{6,7,441},{6,7,489},{7,6,276},{6,7,116},{6,7,356},{6,6,369},{7,6,244},{6,6,369},{6,7,186},{6,7,186},{6,7,186},{6,7,234},{6,7,53},{6,7,101},{6,7,101},{6,6,46},{5,7,68},{6,6,70},{6,7,185},{6,7,185},{6,7,185},{6,7,233},{6,7,52},{6,7,100},{6,7,100},{6,6,45},{5,7,52},{6,6,45},{7,6,80},{6,7,32},{6,7,272},
{5,7,272},{7,6,80},{6,7,80},{5,7,272},{0,6,360},{6,7,80},{0,6,360},{6,0,170},{6,0,170},{6,0,170},{6,0,170},{6,7,37},{6,7,37},{6,7,37},{6,6,10},{6,6,34},{6,6,34},{7,7,800},{7,7,784},{6,7,802},{6,7,634},{6,7,903},{6,7,279},{6,7,159},{6,7,591},{6,7,332},{6,7,572},{7,7,224},{7,7,208},{7,7,257},{7,7,337},{7,6,339},
{6,7,179},{6,7,59},{5,7,419},{6,7,251},{5,7,419},{7,6,745},{7,6,745},{7,6,745},{6,7,585},{6,7,278},{6,7,110},{6,7,110},{6,6,469},{6,7,163},{6,6,385},{7,6,169},{7,6,169},{7,6,169},{7,6,225},{7,6,50},{6,7,10},{6,7,10},{7,6,226},{7,6,82},{7,6,226},{7,7,80},{7,7,64},{7,7,113},{6,7,50},{7,7,80},{7,7,144},{6,7,50},
{0,7,410},{7,7,144},{0,7,410},{6,0,584},{6,0,584},{6,0,584},{6,0,584},{6,7,109},{6,7,109},{6,7,109},{6,7,181},{6,6,160},{6,6,160},{7,7,393},{7,7,321},{7,7,272},{7,7,288},{7,7,477},{7,7,421},{7,7,372},{6,7,446},{6,7,483},{6,7,123},{7,7,137},{7,7,65},{7,7,16},{7,7,32},{7,7,221},{7,7,165},{7,7,116},{6,7,122},{7,7,261},
{6,7,122},{7,7,272},{7,7,272},{7,7,272},{7,7,288},{7,7,356},{7,7,372},{7,7,372},{6,7,446},{6,7,83},{6,7,123},{7,7,16},{7,7,16},{7,7,16},{7,7,32},{7,7,100},{7,7,116},{7,7,116},{6,7,122},{6,7,82},{6,7,122},{7,7,121},{7,7,49},{7,7,0},{7,7,16},{7,7,121},{7,7,65},{7,7,16},{0,7,121},{7,7,65},{0,7,121},{7,0,272},
{7,0,272},{7,0,272},{7,0,272},{7,6,265},{7,6,265},{7,6,265},{7,6,305},{6,7,2},{6,7,2},{7,7,265},{7,7,193},{7,7,144},{7,7,96},{7,7,253},{7,7,133},{7,7,84},{7,7,109},{7,7,297},{6,7,107},{7,7,201},{7,7,129},{7,7,80},{7,7,32},{7,7,189},{7,7,69},{7,7,20},{7,7,45},{7,7,101},{7,7,45},{7,7,144},{7,7,144},{7,7,144},
{7,7,96},{7,7,132},{7,7,84},{7,7,84},{7,7,109},{7,7,248},{6,7,107},{7,7,80},{7,7,80},{7,7,80},{7,7,32},{7,7,68},{7,7,20},{7,7,20},{7,7,45},{7,7,52},{7,7,45},{7,7,185},{7,7,113},{7,7,64},{7,7,16},{7,7,185},{7,7,65},{7,7,16},{0,7,9},{7,7,65},{0,7,9},{7,0,80},{7,0,80},{7,0,80},{7,0,80},{7,7,68},
{7,7,68},{7,7,68},{7,7,100},{6,7,98},{6,7,98},{7,7,386},{7,7,314},{7,7,265},{7,7,193},{7,7,278},{7,7,134},{7,7,85},{7,7,4},{7,7,138},{7,7,40},{7,7,386},{7,7,314},{7,7,265},{7,7,193},{7,7,278},{7,7,134},{7,7,85},{7,7,4},{7,7,102},{7,7,4},{7,7,265},{7,7,265},{7,7,265},{7,7,193},{7,7,157},{7,7,85},{7,7,85},
{7,7,4},{7,7,89},{7,7,40},{7,7,265},{7,7,265},{7,7,265},{7,7,193},{7,7,157},{7,7,85},{7,7,85},{7,7,4},{7,7,53},{7,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,144},{7,0,144},{7,0,144},{7,0,144},{7,7,36},{7,7,36},{7,7,36},{7,7,4},{7,7,40},
{7,7,40},{0,1,200},{0,1,104},{0,0,153},{0,0,145},{0,1,561},{0,0,398},{0,0,181},{0,0,308},{0,0,498},{0,0,344},{0,1,200},{0,1,104},{0,0,153},{0,0,145},{0,1,561},{0,0,398},{0,0,181},{0,0,308},{0,0,462},{0,0,308},{0,0,9},{0,0,9},{0,0,9},{0,0,1},{0,0,45},{0,0,37},{0,0,37},{0,0,164},{0,0,137},{0,0,200},{0,0,9},
{0,0,9},{0,0,9},{0,0,1},{0,0,45},{0,0,37},{0,0,37},{0,0,164},{0,0,101},{0,0,164},{0,1,200},{0,1,104},{0,0,153},{0,0,145},{0,1,200},{1,0,232},{0,0,145},{0,0,208},{1,0,232},{0,0,208},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,2,232},{0,1,40},{0,1,200},
{0,1,392},{0,1,689},{0,1,593},{0,0,485},{0,0,500},{0,0,914},{0,0,536},{0,2,232},{0,1,40},{0,1,200},{0,1,392},{0,1,689},{0,1,593},{0,0,485},{0,0,500},{1,0,761},{0,0,500},{0,1,4},{0,1,4},{0,1,4},{0,0,49},{0,0,157},{0,0,85},{0,0,85},{0,0,100},{0,0,185},{0,0,136},{0,1,4},{0,1,4},{0,1,4},{0,0,49},{0,0,157},
{0,0,85},{0,0,85},{0,0,100},{0,0,149},{0,0,100},{1,0,200},{0,1,40},{0,1,200},{0,1,392},{1,0,200},{1,0,232},{0,1,392},{0,0,400},{1,0,232},{0,0,400},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,2,281},{0,2,149},{0,1,121},{0,1,121},{0,2,808},{0,1,376},{0,1,216},
{0,0,857},{0,1,1169},{0,0,893},{0,2,281},{0,2,149},{0,1,121},{0,1,121},{1,0,728},{0,1,376},{0,1,216},{0,0,857},{1,0,744},{0,0,857},{0,1,85},{0,1,85},{0,1,85},{0,1,85},{0,1,180},{0,1,180},{0,1,180},{0,0,73},{0,0,270},{0,0,109},{0,1,85},{0,1,85},{0,1,85},{0,1,85},{0,1,180},{0,1,180},{0,1,180},{0,0,73},{0,0,234},
{0,0,73},{0,2,232},{0,2,100},{0,1,72},{0,1,72},{0,2,232},{2,0,202},{0,1,72},{0,1,712},{2,0,202},{0,1,712},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,0,1},{0,0,1},{0,0,1},{0,0,9},{0,0,45},{0,0,45},{0,3,427},{0,2,229},{0,1,425},{0,1,233},{0,2,744},{0,1,504},{0,1,24},{0,1,584},{0,1,1105},{0,1,945},{0,3,427},
{0,2,229},{1,1,414},{0,1,233},{0,2,744},{0,1,504},{0,1,24},{0,1,584},{2,0,739},{0,1,584},{0,2,229},{0,2,229},{0,2,229},{0,1,229},{0,1,212},{0,1,20},{0,1,20},{0,0,281},{0,0,590},{0,0,317},{0,2,229},{0,2,229},{0,2,229},{0,1,229},{1,0,180},{0,1,20},{0,1,20},{0,0,281},{1,0,164},{0,0,281},{0,3,202},{0,2,4},{1,1,53},
{0,1,8},{0,3,202},{1,1,202},{0,1,8},{0,1,328},{1,1,202},{0,1,328},{0,0,225},{0,0,225},{0,0,225},{0,0,225},{0,1,16},{0,1,16},{0,1,16},{0,0,25},{0,0,61},{0,0,61},{0,4,842},{0,3,740},{1,1,1125},{0,1,834},{0,3,744},{0,2,267},{0,1,283},{0,1,267},{0,1,1356},{0,1,476},{1,2,302},{1,2,230},{1,1,225},{1,1,225},{0,3,728},
{0,2,251},{0,1,267},{0,1,251},{1,1,728},{0,1,251},{0,3,596},{0,3,596},{0,3,596},{0,1,713},{0,2,186},{0,1,162},{0,1,162},{0,1,146},{0,1,395},{0,1,355},{1,1,104},{1,1,104},{1,1,104},{1,1,104},{0,2,170},{0,1,146},{0,1,146},{0,1,130},{0,1,170},{0,1,130},{1,2,202},{1,2,130},{1,1,125},{1,1,125},{1,2,202},{0,2,202},{1,1,125},
{0,1,202},{0,2,202},{0,1,202},{0,0,592},{0,0,592},{0,0,592},{0,0,592},{0,1,41},{0,1,41},{0,1,41},{0,1,65},{0,0,200},{0,0,200},{1,3,738},{1,2,522},{1,2,722},{1,1,885},{0,4,987},{0,2,443},{0,2,379},{0,1,507},{0,2,1100},{0,1,412},{1,3,254},{1,2,38},{1,2,238},{1,1,401},{1,2,739},{0,2,299},{0,2,235},{0,1,363},{0,2,739},
{0,1,363},{1,2,497},{1,2,497},{1,2,497},{1,1,524},{0,3,324},{0,2,154},{0,2,154},{0,1,146},{0,1,411},{0,1,51},{1,2,13},{1,2,13},{1,2,13},{1,1,40},{1,1,164},{0,2,10},{0,2,10},{0,1,2},{1,1,180},{0,1,2},{2,1,202},{1,2,34},{1,2,234},{0,2,234},{2,1,202},{4,0,202},{0,2,234},{0,1,362},{4,0,202},{0,1,362},{1,0,488},
{1,0,488},{1,0,488},{1,0,488},{0,2,145},{0,2,145},{0,2,145},{0,1,145},{0,1,50},{0,1,50},{1,3,450},{1,3,362},{1,2,306},{1,2,330},{1,2,1015},{1,2,583},{1,2,463},{1,1,990},{0,2,940},{0,1,860},{1,3,254},{1,3,166},{1,2,110},{1,2,134},{0,4,731},{0,3,288},{0,2,155},{1,1,794},{2,1,731},{1,1,794},{1,2,257},{1,2,257},{1,2,257},
{1,2,281},{1,2,390},{1,1,392},{1,1,392},{1,1,261},{0,2,315},{0,1,131},{1,2,61},{1,2,61},{1,2,61},{1,2,85},{2,0,164},{0,2,106},{0,2,106},{1,1,65},{3,0,164},{1,1,65},{3,0,208},{1,3,130},{1,2,74},{0,2,74},{3,0,208},{3,1,208},{0,2,74},{0,1,778},{3,1,208},{0,1,778},{1,0,232},{1,0,232},{1,0,232},{1,0,232},{1,1,196},
{1,1,196},{1,1,196},{1,1,212},{0,1,82},{0,1,82},{1,4,440},{1,3,234},{1,2,402},{1,2,234},{1,3,767},{1,2,503},{1,2,63},{1,2,687},{0,3,1140},{0,2,396},{1,4,404},{1,3,198},{1,2,366},{1,2,198},{1,3,731},{0,3,224},{1,2,27},{0,2,387},{1,2,731},{0,2,387},{1,3,233},{1,3,233},{1,3,233},{1,2,233},{1,2,230},{1,2,62},{1,2,62},
{1,1,277},{0,2,203},{1,1,385},{1,3,197},{1,3,197},{1,3,197},{1,2,197},{0,4,162},{1,2,26},{1,2,26},{1,1,241},{2,1,162},{1,1,241},{2,2,208},{1,3,2},{2,2,65},{1,2,2},{2,2,208},{5,0,208},{1,2,2},{0,2,362},{5,0,208},{0,2,362},{1,0,232},{1,0,232},{1,0,232},{1,0,232},{1,2,61},{1,2,61},{1,2,61},{1,1,52},{0,2,34},
{0,2,34},{1,5,810},{1,3,702},{1,2,1122},{1,2,738},{1,4,748},{1,3,281},{1,2,225},{1,2,273},{0,3,780},{0,2,252},{2,3,329},{2,3,281},{2,2,222},{2,2,230},{2,2,731},{1,3,272},{1,2,216},{0,2,216},{5,0,731},{0,2,216},{1,4,547},{1,4,547},{1,4,547},{1,2,638},{1,3,173},{1,2,125},{1,2,125},{1,2,173},{0,3,339},{0,2,152},{2,2,122},
{2,2,122},{2,2,122},{2,2,130},{1,3,164},{1,2,116},{1,2,116},{0,2,116},{1,2,164},{0,2,116},{2,3,208},{2,3,160},{2,2,101},{2,2,109},{2,3,208},{6,0,208},{2,2,109},{0,2,200},{6,0,208},{0,2,200},{1,0,538},{1,0,538},{1,0,538},{1,0,538},{1,2,25},{1,2,25},{1,2,25},{1,2,73},{0,2,52},{0,2,52},{2,3,810},{2,3,570},{2,3,810},
{2,2,887},{1,4,940},{1,3,393},{1,3,393},{1,2,449},{0,3,1004},{1,2,392},{2,3,281},{2,3,41},{2,3,281},{2,2,358},{3,1,731},{1,3,272},{1,3,272},{1,2,328},{4,1,731},{1,2,328},{2,3,554},{2,3,554},{2,3,554},{2,2,563},{1,4,315},{1,3,137},{1,3,137},{1,2,125},{0,3,163},{1,2,68},{2,3,25},{2,3,25},{2,3,25},{2,2,34},{2,2,162},
{1,3,16},{1,3,16},{1,2,4},{5,0,162},{1,2,4},{4,0,208},{2,3,32},{2,3,272},{1,3,272},{4,0,208},{5,1,208},{1,3,272},{0,2,328},{5,1,208},{0,2,328},{2,0,538},{2,0,538},{2,0,538},{2,0,538},{1,3,121},{1,3,121},{1,3,121},{1,2,121},{1,2,64},{1,2,64},{2,4,458},{2,3,410},{2,3,330},{2,3,378},{2,3,1013},{2,3,629},{1,3,505},
{2,2,962},{0,4,772},{1,2,776},{2,4,233},{2,3,185},{2,3,105},{2,3,153},{4,0,724},{1,4,323},{1,3,144},{2,2,737},{3,2,724},{2,2,737},{2,3,266},{2,3,266},{2,3,266},{2,3,314},{2,3,437},{2,2,395},{2,2,395},{2,2,286},{1,3,356},{1,2,100},{2,3,41},{2,3,41},{2,3,41},{2,3,89},{3,1,162},{1,3,80},{1,3,80},{2,2,61},{4,1,162},
{2,2,61},{2,4,208},{2,3,160},{2,3,80},{1,3,80},{2,4,208},{7,0,208},{1,3,80},{0,2,712},{7,0,208},{0,2,712},{2,0,250},{2,0,250},{2,0,250},{2,0,250},{2,2,226},{2,2,226},{2,2,226},{2,2,250},{1,2,64},{1,2,64},{2,5,436},{2,4,222},{2,3,362},{2,3,218},{2,4,773},{2,3,485},{2,3,85},{2,3,773},{0,4,804},{1,3,452},{2,5,387},
{2,4,173},{2,3,313},{2,3,169},{2,4,724},{1,4,211},{2,3,36},{1,3,436},{7,0,724},{1,3,436},{2,4,218},{2,4,218},{2,4,218},{2,3,218},{2,3,229},{2,3,85},{2,3,85},{2,2,254},{1,3,196},{2,2,374},{2,4,169},{2,4,169},{2,4,169},{2,3,169},{4,0,164},{2,3,36},{2,3,36},{2,2,205},{3,2,164},{2,2,205},{3,3,202},{2,4,4},{3,3,81},
{2,3,0},{3,3,202},{6,1,202},{2,3,0},{0,3,400},{6,1,202},{0,3,400},{2,0,218},{2,0,218},{2,0,218},{2,0,218},{2,3,85},{2,3,85},{2,3,85},{2,2,58},{1,3,52},{1,3,52},{2,5,760},{2,4,618},{2,3,1010},{2,3,650},{2,5,760},{2,4,303},{2,3,175},{2,3,287},{1,4,788},{1,3,236},{3,4,362},{3,4,338},{3,3,225},{3,3,241},{3,3,724},
{2,4,299},{2,3,171},{1,3,211},{6,1,724},{1,3,211},{2,5,504},{2,5,504},{2,5,504},{2,3,569},{2,4,166},{2,3,94},{2,3,94},{2,3,206},{0,4,363},{1,3,155},{3,3,144},{3,3,144},{3,3,144},{3,3,160},{2,4,162},{2,3,90},{2,3,90},{1,3,130},{7,0,162},{1,3,130},{4,2,208},{2,4,130},{3,3,81},{3,3,97},{4,2,208},{5,2,208},{3,3,97},
{0,3,202},{5,2,208},{0,3,202},{2,0,488},{2,0,488},{2,0,488},{2,0,488},{2,3,13},{2,3,13},{2,3,13},{2,3,85},{1,3,34},{1,3,34},{3,4,842},{3,4,626},{3,4,906},{3,3,897},{2,5,888},{2,4,351},{2,4,415},{2,3,399},{0,5,788},{2,3,380},{3,4,266},{3,4,50},{3,4,330},{3,3,321},{4,2,724},{2,4,251},{2,4,315},{2,3,299},{5,2,724},
{2,3,299},{3,4,617},{3,4,617},{3,4,617},{3,3,608},{2,5,312},{2,4,126},{2,4,126},{2,3,110},{1,4,164},{2,3,91},{3,4,41},{3,4,41},{3,4,41},{3,3,32},{3,3,164},{2,4,26},{2,4,26},{2,3,10},{6,1,164},{2,3,10},{5,1,202},{3,4,34},{3,4,314},{3,3,305},{5,1,202},{4,3,202},{3,3,305},{0,3,298},{4,3,202},{0,3,298},{3,0,592},
{3,0,592},{3,0,592},{3,0,592},{2,4,101},{2,4,101},{2,4,101},{2,3,101},{2,3,82},{2,3,82},{3,5,474},{3,4,402},{3,4,362},{3,4,434},{3,4,1019},{3,4,683},{2,4,463},{3,3,942},{1,5,804},{2,3,700},{3,5,218},{3,4,146},{3,4,106},{3,4,178},{5,1,723},{2,5,364},{2,4,139},{3,3,686},{4,3,723},{3,3,686},{3,4,281},{3,4,281},{3,4,281},
{3,4,353},{3,4,490},{2,4,382},{2,4,382},{3,3,317},{1,4,324},{2,3,75},{3,4,25},{3,4,25},{3,4,25},{3,4,97},{4,2,164},{2,4,58},{2,4,58},{3,3,61},{5,2,164},{3,3,61},{6,0,202},{3,4,130},{3,4,90},{2,4,90},{6,0,202},{3,4,202},{2,4,90},{0,3,650},{3,4,202},{0,3,650},{3,0,272},{3,0,272},{3,0,272},{3,0,272},{3,3,260},
{3,3,260},{3,3,260},{3,3,292},{2,3,50},{2,3,50},{3,6,440},{3,5,218},{3,4,330},{3,4,210},{3,5,787},{3,4,475},{3,4,115},{3,4,867},{1,5,772},{2,4,516},{3,6,376},{3,5,154},{3,4,266},{3,4,146},{6,0,723},{2,5,204},{3,4,51},{1,4,478},{3,4,723},{1,4,478},{3,5,209},{3,5,209},{3,5,209},{3,4,209},{3,4,234},{3,4,114},{3,4,114},
{3,3,237},{2,4,195},{3,3,369},{3,5,145},{3,5,145},{3,5,145},{3,4,145},{5,1,170},{3,4,50},{3,4,50},{3,3,173},{7,1,170},{3,3,173},{4,4,200},{3,5,10},{4,4,101},{3,4,2},{4,4,200},{7,2,200},{3,4,2},{0,4,442},{7,2,200},{0,4,442},{3,0,208},{3,0,208},{3,0,208},{3,0,208},{3,3,100},{3,3,100},{3,3,100},{3,3,68},{2,4,74},
{2,4,74},{3,6,692},{3,5,542},{3,4,906},{3,4,570},{3,6,780},{3,5,333},{3,4,133},{3,4,309},{2,5,804},{2,4,228},{4,5,401},{4,4,395},{4,4,234},{4,4,258},{4,4,723},{3,5,332},{3,4,132},{2,4,212},{7,2,723},{2,4,212},{3,6,467},{3,6,467},{3,6,467},{3,4,506},{3,5,165},{3,4,69},{3,4,69},{3,4,245},{1,5,324},{2,4,164},{4,4,170},
{4,4,170},{4,4,170},{4,4,194},{6,0,164},{3,4,68},{3,4,68},{2,4,148},{3,4,164},{2,4,148},{5,3,202},{3,5,100},{4,4,65},{4,4,89},{5,3,202},{6,3,202},{4,4,89},{0,4,208},{6,3,202},{0,4,208},{3,0,442},{3,0,442},{3,0,442},{3,0,442},{3,4,5},{3,4,5},{3,4,5},{3,4,101},{2,4,20},{2,4,20},{4,5,882},{4,5,690},{4,4,955},
{4,4,915},{3,6,844},{3,5,317},{3,5,445},{3,4,357},{1,6,772},{3,4,376},{4,5,257},{4,5,65},{4,4,330},{4,4,290},{5,3,723},{3,5,236},{3,5,364},{3,4,276},{6,3,723},{3,4,276},{4,5,686},{4,5,686},{4,5,686},{4,4,659},{3,6,315},{3,5,121},{3,5,121},{3,4,101},{2,5,171},{3,4,120},{4,5,61},{4,5,61},{4,5,61},{4,4,34},{5,2,170},
{3,5,40},{3,5,40},{3,4,20},{7,2,170},{3,4,20},{6,2,200},{4,5,40},{4,4,305},{4,4,265},{6,2,200},{5,4,200},{4,4,265},{0,4,272},{5,4,200},{0,4,272},{4,0,650},{4,0,650},{4,0,650},{4,0,650},{3,5,85},{3,5,85},{3,5,85},{3,4,85},{3,4,104},{3,4,104},{4,6,498},{4,5,402},{4,5,402},{4,5,498},{3,7,1017},{3,6,700},{3,5,429},
{3,4,917},{2,6,844},{3,4,632},{4,6,209},{4,5,113},{4,5,113},{4,5,209},{6,2,728},{3,6,411},{3,5,140},{3,4,628},{5,4,728},{3,4,628},{4,5,302},{4,5,302},{4,5,302},{4,5,398},{3,6,459},{3,5,329},{3,5,329},{3,4,341},{2,5,283},{3,4,56},{4,5,13},{4,5,13},{4,5,13},{4,5,109},{6,1,170},{3,5,40},{3,5,40},{3,4,52},{6,3,170},
{3,4,52},{7,1,200},{4,5,104},{4,5,104},{3,5,104},{7,1,200},{4,5,200},{3,5,104},{0,4,592},{4,5,200},{0,4,592},{4,0,298},{4,0,298},{4,0,298},{4,0,298},{4,4,298},{4,4,298},{4,4,298},{3,4,325},{3,4,40},{3,4,40},{4,7,452},{4,6,222},{4,5,306},{4,5,210},{4,6,809},{4,5,473},{4,5,153},{4,5,969},{2,6,748},{3,5,588},{4,7,371},
{4,6,141},{4,5,225},{4,5,129},{7,1,728},{3,6,203},{4,5,72},{2,5,513},{4,5,728},{2,5,513},{4,6,206},{4,6,206},{4,6,206},{4,5,206},{4,5,245},{4,5,149},{4,5,149},{4,4,226},{3,5,200},{4,4,370},{4,6,125},{4,6,125},{4,6,125},{4,5,125},{7,0,164},{4,5,68},{4,5,68},{4,4,145},{3,5,164},{4,4,145},{5,5,202},{4,6,20},{4,5,104},
{4,5,8},{5,5,202},{3,6,202},{4,5,8},{0,5,488},{3,6,202},{0,5,488},{4,0,202},{4,0,202},{4,0,202},{4,0,202},{4,4,106},{4,4,106},{4,4,106},{4,4,82},{3,5,100},{3,5,100},{4,7,632},{4,6,474},{4,5,810},{4,5,498},{4,7,808},{4,6,371},{4,5,99},{4,5,339},{3,6,828},{3,5,228},{5,6,446},{5,5,396},{5,5,249},{5,5,281},{5,5,728},
{4,6,371},{4,5,99},{3,5,219},{3,6,728},{3,5,219},{4,7,436},{4,7,436},{4,7,436},{4,5,449},{4,6,170},{4,5,50},{4,5,50},{4,5,290},{2,6,291},{3,5,179},{5,5,200},{5,5,200},{5,5,200},{5,5,232},{7,1,170},{4,5,50},{4,5,50},{3,5,170},{7,3,170},{3,5,170},{6,4,200},{4,6,74},{5,5,53},{5,5,85},{6,4,200},{7,4,200},{5,5,85},
{0,5,218},{7,4,200},{0,5,218},{4,0,400},{4,0,400},{4,0,400},{4,0,400},{4,5,1},{4,5,1},{4,5,1},{4,4,100},{3,5,10},{3,5,10},{5,6,930},{5,6,762},{5,5,973},{5,5,941},{4,7,808},{4,6,291},{4,6,483},{4,5,323},{2,7,764},{4,5,380},{5,6,254},{5,6,86},{5,5,297},{5,5,265},{6,4,728},{4,6,227},{5,5,373},{4,5,259},{7,4,728},
{4,5,259},{5,5,748},{5,5,748},{5,5,748},{5,5,716},{4,6,298},{4,6,122},{4,6,122},{4,5,98},{3,6,184},{4,5,155},{5,5,72},{5,5,72},{5,5,72},{5,5,40},{6,3,164},{4,6,58},{4,6,58},{4,5,34},{6,4,164},{4,5,34},{7,3,202},{5,6,50},{5,5,261},{5,5,229},{7,3,202},{6,5,202},{5,5,229},{0,5,250},{6,5,202},{0,5,250},{5,0,712},
{5,0,712},{5,0,712},{5,0,712},{4,6,73},{4,6,73},{4,6,73},{4,5,73},{4,5,130},{4,5,130},{5,7,530},{5,6,410},{5,6,450},{5,6,570},{5,6,1055},{4,7,720},{4,6,403},{4,5,819},{3,7,892},{4,5,572},{5,7,206},{5,6,86},{5,6,126},{5,6,246},{5,6,731},{3,7,387},{4,6,147},{4,5,563},{4,6,731},{4,5,563},{5,6,329},{5,6,329},{5,6,329},
{5,5,428},{4,7,420},{4,6,282},{4,6,282},{4,5,290},{3,6,248},{4,5,43},{5,6,5},{5,6,5},{5,6,5},{5,5,104},{7,2,164},{4,6,26},{4,6,26},{4,5,34},{5,5,164},{4,5,34},{5,7,202},{5,6,82},{5,6,122},{4,6,122},{5,7,202},{5,6,202},{4,6,122},{0,5,538},{5,6,202},{0,5,538},{5,0,328},{5,0,328},{5,0,328},{5,0,328},{4,6,281},
{4,6,281},{4,6,281},{4,5,281},{4,5,34},{4,5,34},{5,7,498},{5,7,234},{5,6,290},{5,6,218},{5,7,839},{5,6,479},{5,6,199},{5,6,1079},{3,7,732},{4,6,668},{5,7,398},{5,7,134},{5,6,190},{5,6,118},{6,5,731},{4,7,208},{5,6,99},{3,6,554},{3,7,731},{3,6,554},{5,7,209},{5,7,209},{5,7,209},{5,6,209},{5,6,262},{5,6,190},{5,6,190},
{5,5,221},{4,6,211},{4,5,315},{5,7,109},{5,7,109},{5,7,109},{5,6,109},{5,6,162},{5,6,90},{5,6,90},{5,5,121},{4,6,162},{5,5,121},{7,4,208},{5,7,34},{5,6,90},{5,6,18},{7,4,208},{7,5,208},{5,6,18},{0,6,538},{7,5,208},{0,6,538},{5,0,200},{5,0,200},{5,0,200},{5,0,200},{5,5,116},{5,5,116},{5,5,116},{5,5,100},{4,6,130},
{4,6,130},{5,7,1074},{5,7,414},{5,6,722},{5,6,434},{5,7,857},{5,7,417},{5,6,73},{5,6,377},{4,7,860},{4,6,236},{6,7,497},{6,6,403},{6,6,270},{6,6,310},{7,4,731},{4,7,379},{5,6,72},{4,6,232},{7,5,731},{4,6,232},{5,7,398},{5,7,398},{5,7,398},{5,6,398},{5,7,181},{5,6,37},{5,6,37},{5,6,341},{3,7,264},{4,6,200},{6,6,234},
{6,6,234},{6,6,234},{6,6,274},{6,5,164},{5,6,36},{5,6,36},{4,6,196},{3,7,164},{4,6,196},{7,5,202},{5,7,52},{6,6,45},{5,6,72},{7,5,202},{6,6,218},{5,6,72},{0,6,232},{6,6,218},{0,6,232},{5,0,362},{5,0,362},{5,0,362},{5,0,362},{5,6,1},{5,6,1},{5,6,1},{5,5,82},{4,6,4},{4,6,4},{6,7,986},{6,7,842},{6,6,999},
{6,6,975},{5,7,1417},{5,7,273},{5,6,505},{5,6,297},{4,7,828},{5,6,392},{6,7,257},{6,7,113},{6,6,270},{6,6,246},{7,5,739},{5,7,224},{6,6,366},{5,6,248},{6,6,731},{5,6,248},{6,6,803},{6,6,803},{6,6,803},{6,6,779},{5,7,261},{5,7,129},{5,7,129},{5,6,101},{4,7,203},{5,6,196},{6,6,74},{6,6,74},{6,6,74},{6,6,50},{7,4,162},
{5,7,80},{5,7,80},{5,6,52},{7,5,162},{5,6,52},{6,7,208},{6,7,64},{6,6,221},{6,6,197},{6,7,208},{7,6,208},{6,6,197},{0,6,232},{7,6,208},{0,6,232},{5,0,778},{5,0,778},{5,0,778},{5,0,778},{5,7,65},{5,7,65},{5,7,65},{5,6,65},{5,6,160},{5,6,160},{6,7,762},{6,7,426},{6,7,506},{6,7,650},{6,7,1085},{5,7,641},{5,7,385},
{5,6,729},{5,7,980},{5,6,520},{6,7,401},{6,7,65},{6,7,145},{6,7,289},{6,7,724},{5,7,416},{5,7,160},{5,6,504},{5,7,724},{5,6,504},{6,7,362},{6,7,362},{6,7,362},{6,6,443},{6,6,555},{5,7,241},{5,7,241},{5,6,245},{4,7,219},{5,6,36},{6,7,1},{6,7,1},{6,7,1},{6,6,82},{7,5,194},{5,7,16},{5,7,16},{5,6,20},{6,6,162},
{5,6,20},{7,6,208},{6,7,64},{6,7,144},{5,7,144},{7,6,208},{6,7,208},{5,7,144},{0,6,488},{6,7,208},{0,6,488},{6,0,362},{6,0,362},{6,0,362},{6,0,362},{5,7,241},{5,7,241},{5,7,241},{5,6,241},{5,6,32},{5,6,32},{6,7,1050},{6,7,522},{6,7,282},{6,7,234},{6,7,1069},{6,7,493},{6,7,253},{6,6,1122},{5,7,1012},{5,7,756},{7,7,843},
{6,7,401},{6,7,161},{6,7,113},{7,6,724},{6,7,372},{6,7,132},{4,7,601},{6,7,756},{4,7,601},{6,7,266},{6,7,266},{6,7,266},{6,7,218},{6,7,285},{6,7,237},{6,7,237},{6,6,222},{5,7,228},{5,6,260},{6,7,145},{6,7,145},{6,7,145},{6,7,97},{6,7,164},{6,7,116},{6,7,116},{6,6,101},{5,7,164},{6,6,101},{7,7,218},{7,7,178},{6,7,80},
{6,7,32},{7,7,218},{6,7,272},{6,7,32},{0,7,592},{6,7,272},{0,7,592},{6,0,202},{6,0,202},{6,0,202},{6,0,202},{6,6,130},{6,6,130},{6,6,130},{6,6,122},{5,6,160},{5,6,160},{6,7,1641},{6,7,1017},{6,7,617},{6,7,353},{6,7,1318},{6,7,430},{6,7,30},{6,7,398},{6,7,1035},{5,7,227},{7,7,393},{7,7,321},{7,7,272},{7,7,320},{7,7,621},
{6,7,426},{6,7,26},{5,7,226},{6,7,594},{5,7,226},{6,7,617},{6,7,617},{6,7,617},{6,7,353},{6,7,294},{6,7,30},{6,7,30},{6,7,398},{5,7,291},{5,7,227},{7,7,272},{7,7,272},{7,7,272},{7,7,320},{7,6,162},{6,7,26},{6,7,26},{5,7,226},{7,6,194},{5,7,226},{7,7,137},{7,7,65},{7,7,16},{6,7,25},{7,7,137},{7,7,113},{6,7,25},
{0,7,225},{7,7,113},{0,7,225},{6,0,328},{6,0,328},{6,0,328},{6,0,328},{6,7,5},{6,7,5},{6,7,5},{6,6,68},{5,7,2},{5,7,2},{7,7,985},{7,7,913},{7,7,864},{7,7,848},{7,7,1117},{6,7,654},{6,7,254},{6,7,110},{6,7,763},{5,7,179},{7,7,201},{7,7,129},{7,7,80},{7,7,64},{7,7,333},{7,7,245},{7,7,196},{6,7,74},{7,7,373},
{6,7,74},{7,7,864},{7,7,864},{7,7,864},{7,7,848},{6,7,710},{6,7,254},{6,7,254},{6,7,110},{6,7,363},{5,7,179},{7,7,80},{7,7,80},{7,7,80},{7,7,64},{7,7,212},{7,7,196},{7,7,196},{6,7,74},{6,7,194},{6,7,74},{7,7,137},{7,7,65},{7,7,16},{7,7,0},{7,7,137},{7,7,49},{7,7,0},{0,7,49},{7,7,49},{0,7,49},{6,0,712},
{6,0,712},{6,0,712},{6,0,712},{6,7,85},{6,7,85},{6,7,85},{6,7,61},{5,7,130},{5,7,130},{7,7,642},{7,7,570},{7,7,521},{7,7,449},{7,7,678},{7,7,534},{7,7,485},{6,7,205},{6,7,834},{6,7,34},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,278},{7,7,134},{7,7,85},{6,7,9},{7,7,198},{6,7,9},{7,7,521},{7,7,521},{7,7,521},
{7,7,449},{7,7,557},{7,7,485},{7,7,485},{6,7,205},{6,7,434},{6,7,34},{7,7,121},{7,7,121},{7,7,121},{7,7,49},{7,7,157},{7,7,85},{7,7,85},{6,7,9},{7,7,149},{6,7,9},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,400},{7,0,400},{7,0,400},{7,0,400},{6,7,421},
{6,7,421},{6,7,421},{6,7,205},{6,7,34},{6,7,34},{7,7,450},{7,7,378},{7,7,329},{7,7,257},{7,7,390},{7,7,246},{7,7,197},{7,7,148},{7,7,426},{6,7,130},{7,7,306},{7,7,234},{7,7,185},{7,7,113},{7,7,246},{7,7,102},{7,7,53},{7,7,4},{7,7,102},{7,7,4},{7,7,329},{7,7,329},{7,7,329},{7,7,257},{7,7,269},{7,7,197},{7,7,197},
{7,7,148},{7,7,377},{6,7,130},{7,7,185},{7,7,185},{7,7,185},{7,7,113},{7,7,125},{7,7,53},{7,7,53},{7,7,4},{7,7,53},{7,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{7,7,148},{7,7,148},{7,7,148},{7,7,148},{6,7,130},
{6,7,130},{0,2,445},{0,1,157},{0,1,117},{0,1,405},{0,1,926},{0,1,806},{0,0,670},{0,0,741},{0,0,1169},{0,0,777},{0,2,445},{0,1,157},{0,1,117},{0,1,405},{0,1,926},{0,1,806},{0,0,670},{0,0,741},{1,0,990},{0,0,741},{0,1,36},{0,1,36},{0,1,36},{0,0,9},{0,0,85},{0,0,45},{0,0,45},{0,0,116},{0,0,145},{0,0,152},{0,1,36},
{0,1,36},{0,1,36},{0,0,9},{0,0,85},{0,0,45},{0,0,45},{0,0,116},{0,0,109},{0,0,116},{1,0,421},{0,1,157},{0,1,117},{0,1,405},{1,0,421},{0,1,445},{0,1,405},{0,0,641},{0,1,445},{0,0,641},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,2,461},{0,2,109},{0,1,5},
{0,1,101},{0,1,1326},{0,1,822},{0,1,462},{0,0,1205},{0,1,1783},{0,0,1241},{0,2,461},{0,2,109},{0,1,5},{0,1,101},{1,0,1294},{0,1,822},{0,1,462},{0,0,1205},{1,0,1262},{0,0,1205},{0,1,4},{0,1,4},{0,1,4},{0,1,100},{0,0,261},{0,0,157},{0,0,157},{0,0,116},{0,0,257},{0,0,152},{0,1,4},{0,1,4},{0,1,4},{0,1,100},{0,0,261},
{0,0,157},{0,0,157},{0,0,116},{0,0,221},{0,0,116},{1,1,461},{0,2,109},{0,1,5},{0,1,101},{1,1,461},{2,0,421},{0,1,101},{0,1,901},{2,0,421},{0,1,901},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,3,430},{0,2,38},{0,1,158},{0,1,62},{0,2,1517},{0,1,989},{0,1,309},
{0,1,1317},{0,1,1878},{0,1,1678},{0,3,430},{0,2,38},{0,1,158},{0,1,62},{0,2,1517},{0,1,989},{0,1,309},{0,1,1317},{0,1,1517},{0,1,1317},{0,2,13},{0,2,13},{0,2,13},{0,1,13},{0,1,356},{0,1,260},{0,1,260},{0,0,193},{0,0,446},{0,0,229},{0,2,13},{0,2,13},{0,2,13},{0,1,13},{0,1,356},{0,1,260},{0,1,260},{0,0,193},{0,0,410},
{0,0,193},{0,3,421},{0,2,29},{0,1,149},{0,1,53},{0,3,421},{1,1,421},{0,1,53},{0,1,533},{1,1,421},{0,1,533},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,0,49},{0,0,85},{0,0,85},{0,4,602},{0,3,234},{0,2,518},{0,1,382},{0,3,1622},{0,2,825},{0,1,325},{0,1,821},{0,1,2022},{0,1,1182},{0,4,602},
{0,3,234},{0,2,518},{0,1,382},{1,1,1526},{0,2,825},{0,1,325},{0,1,821},{2,0,1526},{0,1,821},{0,2,157},{0,2,157},{0,2,157},{0,1,157},{0,1,388},{0,1,100},{0,1,100},{0,0,401},{0,0,766},{0,0,437},{0,2,157},{0,2,157},{0,2,157},{0,1,157},{1,0,356},{0,1,100},{0,1,100},{0,0,401},{1,0,340},{0,0,401},{1,2,425},{0,3,113},{1,1,234},
{0,1,261},{1,2,425},{0,2,425},{0,1,261},{0,1,421},{0,2,425},{0,1,421},{0,0,121},{0,0,121},{0,0,121},{0,0,121},{0,0,25},{0,0,25},{0,0,25},{0,0,1},{0,0,37},{0,0,37},{0,4,845},{0,3,405},{0,2,725},{0,2,549},{0,3,1541},{0,2,654},{0,2,270},{0,1,722},{0,2,2583},{0,1,1083},{1,3,657},{1,2,345},{1,2,345},{0,2,549},{2,0,1517},
{0,2,654},{0,2,270},{0,1,722},{3,0,1517},{0,1,722},{0,3,404},{0,3,404},{0,3,404},{0,2,449},{0,2,346},{0,2,170},{0,2,170},{0,1,146},{0,1,707},{0,1,507},{1,1,232},{1,1,232},{1,1,232},{1,1,200},{0,2,346},{0,2,170},{0,2,170},{0,1,146},{0,1,346},{0,1,146},{2,1,421},{0,3,5},{1,2,149},{0,2,149},{2,1,421},{4,0,421},{0,2,149},
{0,1,601},{4,0,421},{0,1,601},{0,0,400},{0,0,400},{0,0,400},{0,0,400},{0,1,1},{0,1,1},{0,1,1},{0,0,100},{0,0,136},{0,0,136},{0,5,1209},{0,4,937},{1,2,1197},{0,2,789},{0,4,1526},{0,3,737},{0,2,14},{0,1,1042},{0,2,2487},{0,1,1403},{1,3,481},{1,3,173},{1,2,41},{1,2,161},{1,2,1526},{0,3,737},{0,2,14},{0,1,1042},{2,1,1526},
{0,1,1042},{0,4,793},{0,4,793},{0,4,793},{0,2,785},{0,3,356},{0,2,10},{0,2,10},{0,1,18},{0,1,899},{0,1,379},{1,2,37},{1,2,37},{1,2,37},{1,1,136},{1,1,340},{0,2,10},{0,2,10},{0,1,18},{1,1,356},{0,1,18},{3,0,425},{1,3,137},{1,2,5},{0,2,5},{3,0,425},{3,1,425},{0,2,5},{0,2,965},{3,1,425},{0,2,965},{0,0,784},
{0,0,784},{0,0,784},{0,0,784},{0,2,9},{0,2,9},{0,2,9},{0,1,9},{0,0,360},{0,0,360},{1,4,1158},{1,3,758},{1,2,850},{1,2,778},{0,4,1671},{0,3,546},{0,2,191},{0,2,903},{0,2,2390},{0,2,1430},{1,4,429},{1,3,29},{1,2,121},{1,2,49},{2,1,1526},{0,3,497},{0,2,142},{0,2,854},{4,0,1526},{0,2,854},{1,3,742},{1,3,742},{1,3,742},
{1,2,742},{0,3,437},{0,2,155},{0,2,155},{0,1,195},{0,2,946},{0,1,290},{1,3,13},{1,3,13},{1,3,13},{1,2,13},{2,0,340},{0,2,106},{0,2,106},{0,1,146},{3,0,340},{0,1,146},{1,4,425},{1,3,25},{1,2,117},{1,2,45},{1,4,425},{2,2,425},{1,2,45},{0,2,565},{2,2,425},{0,2,565},{1,0,733},{1,0,733},{1,0,733},{1,0,733},{0,2,74},
{0,2,74},{0,2,74},{0,1,74},{0,1,169},{0,1,169},{1,4,966},{1,4,606},{1,3,886},{1,2,682},{0,5,1742},{0,3,866},{0,3,641},{0,2,727},{0,3,2382},{0,2,758},{1,4,605},{1,4,245},{1,3,525},{1,2,321},{3,0,1517},{0,3,641},{1,2,302},{0,2,502},{3,1,1517},{0,2,502},{1,3,486},{1,3,486},{1,3,486},{1,2,486},{0,4,563},{0,3,241},{0,3,241},
{0,2,531},{0,2,626},{0,1,546},{1,3,125},{1,3,125},{1,3,125},{1,2,125},{0,4,338},{0,3,16},{0,3,16},{0,2,306},{2,1,338},{0,2,306},{3,1,433},{1,4,145},{2,2,212},{1,2,221},{3,1,433},{6,0,433},{1,2,221},{0,2,421},{6,0,433},{0,2,421},{1,0,461},{1,0,461},{1,0,461},{1,0,461},{0,3,225},{0,3,225},{0,3,225},{0,2,306},{0,1,185},
{0,1,185},{1,5,894},{1,4,462},{1,3,778},{1,3,646},{1,4,1626},{1,3,749},{1,3,429},{1,2,809},{0,3,2022},{0,2,614},{2,4,706},{1,4,362},{2,3,410},{1,3,546},{3,1,1526},{0,4,441},{0,3,227},{0,2,565},{4,1,1526},{0,2,565},{1,4,462},{1,4,462},{1,4,462},{1,3,525},{1,3,440},{1,2,296},{1,2,296},{1,2,280},{0,2,725},{0,2,85},{2,2,250},
{2,2,250},{2,2,250},{2,2,226},{1,3,340},{0,3,106},{0,3,106},{0,2,36},{1,2,340},{0,2,36},{3,2,425},{1,4,1},{2,3,185},{0,3,146},{3,2,425},{5,1,425},{0,3,146},{0,2,565},{5,1,425},{0,2,565},{1,0,461},{1,0,461},{1,0,461},{1,0,461},{1,2,100},{1,2,100},{1,2,100},{1,1,181},{0,2,49},{0,2,49},{1,6,1166},{1,4,878},{1,3,1226},
{1,3,742},{1,5,1545},{1,4,798},{1,3,29},{1,2,985},{0,3,2246},{0,2,1030},{2,4,482},{2,4,218},{2,3,58},{2,3,202},{2,3,1517},{0,4,521},{1,3,25},{1,2,981},{6,0,1517},{1,2,981},{1,5,749},{1,5,749},{1,5,749},{1,3,733},{1,4,374},{1,3,20},{1,3,20},{1,2,24},{0,3,482},{0,2,69},{2,3,49},{2,3,49},{2,3,49},{2,2,130},{2,2,338},
{1,3,16},{1,3,16},{1,2,20},{5,0,338},{1,2,20},{4,1,433},{1,4,145},{2,3,9},{1,3,9},{4,1,433},{7,0,433},{1,3,9},{0,2,965},{7,0,433},{0,2,965},{1,0,733},{1,0,733},{1,0,733},{1,0,733},{1,3,20},{1,3,20},{1,3,20},{1,2,20},{0,2,65},{0,2,65},{2,5,1218},{2,4,810},{2,3,874},{2,3,826},{1,5,1625},{1,4,542},{1,3,141},
{1,3,961},{0,4,1806},{0,3,642},{2,5,434},{2,4,26},{2,3,90},{2,3,42},{3,2,1517},{1,4,506},{1,3,105},{0,3,626},{5,1,1517},{0,3,626},{2,4,801},{2,4,801},{2,4,801},{2,3,801},{1,4,406},{1,3,116},{1,3,116},{1,2,152},{0,3,482},{1,2,285},{2,4,17},{2,4,17},{2,4,17},{2,3,17},{3,1,338},{1,3,80},{1,3,80},{1,2,116},{4,1,338},
{1,2,116},{3,3,425},{2,4,25},{2,3,89},{2,3,41},{3,3,425},{6,1,425},{2,3,41},{0,3,601},{6,1,425},{0,3,601},{2,0,785},{2,0,785},{2,0,785},{2,0,785},{1,3,52},{1,3,52},{1,3,52},{1,2,52},{0,3,41},{0,3,41},{2,5,962},{2,4,618},{2,3,906},{2,3,666},{1,6,1710},{1,4,798},{1,4,663},{1,3,721},{0,4,1838},{0,3,450},{2,5,562},
{2,4,218},{2,3,506},{2,3,266},{4,1,1514},{0,5,474},{2,3,285},{0,3,434},{4,2,1514},{0,3,434},{2,4,497},{2,4,497},{2,4,497},{2,3,497},{1,5,536},{1,4,222},{1,4,222},{1,3,552},{0,4,469},{0,3,281},{2,4,97},{2,4,97},{2,4,97},{2,3,97},{4,0,340},{1,4,26},{1,4,26},{0,3,265},{3,2,340},{0,3,265},{4,2,425},{2,4,137},{3,3,194},
{2,3,185},{4,2,425},{5,2,425},{2,3,185},{0,3,425},{5,2,425},{0,3,425},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{1,4,197},{1,4,197},{1,4,197},{1,3,296},{0,3,25},{0,3,25},{2,6,870},{2,5,446},{2,4,758},{2,4,670},{2,5,1638},{2,4,771},{2,4,515},{2,3,823},{0,5,1710},{1,3,598},{3,4,737},{2,5,325},{3,4,481},{2,4,549},{5,0,1517},
{1,5,458},{1,4,224},{1,3,534},{3,3,1517},{1,3,534},{2,5,445},{2,5,445},{2,5,445},{2,4,526},{2,4,459},{2,3,291},{2,3,291},{2,3,339},{0,4,370},{1,3,114},{3,3,272},{3,3,272},{3,3,272},{3,3,256},{2,4,338},{1,4,80},{1,4,80},{1,3,50},{7,0,338},{1,3,50},{5,1,425},{2,5,1},{3,4,225},{1,4,160},{5,1,425},{4,3,425},{1,4,160},
{0,3,533},{4,3,425},{0,3,533},{2,0,445},{2,0,445},{2,0,445},{2,0,445},{2,3,122},{2,3,122},{2,3,122},{2,2,185},{1,3,65},{1,3,65},{2,7,1130},{2,5,798},{2,4,1142},{2,4,702},{2,6,1571},{2,4,819},{2,4,51},{2,3,935},{0,5,1614},{1,3,950},{3,5,489},{3,5,269},{3,4,81},{3,4,249},{3,4,1514},{1,5,490},{2,4,42},{2,3,926},{7,1,1514},
{2,3,926},{2,6,710},{2,6,710},{2,6,710},{2,4,686},{2,5,397},{2,4,35},{2,4,35},{2,3,35},{1,4,509},{1,3,50},{3,4,65},{3,4,65},{3,4,65},{3,3,128},{3,3,340},{2,4,26},{2,4,26},{2,3,26},{6,1,340},{2,3,26},{6,0,425},{2,5,113},{3,4,17},{2,4,17},{6,0,425},{3,4,425},{2,4,17},{0,3,901},{3,4,425},{0,3,901},{2,0,685},
{2,0,685},{2,0,685},{2,0,685},{2,4,34},{2,4,34},{2,4,34},{2,3,34},{1,3,49},{1,3,49},{3,6,1286},{3,5,870},{3,4,906},{3,4,882},{2,6,1587},{2,5,546},{2,4,99},{2,4,1027},{1,5,1838},{1,4,702},{3,6,445},{3,5,29},{3,4,65},{3,4,41},{4,3,1514},{2,5,521},{2,4,74},{1,4,677},{6,2,1514},{1,4,677},{3,5,866},{3,5,866},{3,5,866},
{3,4,866},{2,5,381},{2,4,83},{2,4,83},{2,3,115},{0,5,349},{2,3,286},{3,5,25},{3,5,25},{3,5,25},{3,4,25},{4,2,340},{2,4,58},{2,4,58},{2,3,90},{5,2,340},{2,3,90},{4,4,421},{3,5,29},{3,4,65},{3,4,41},{4,4,421},{7,2,421},{3,4,41},{0,4,641},{7,2,421},{0,4,641},{3,0,841},{3,0,841},{3,0,841},{3,0,841},{2,4,34},
{2,4,34},{2,4,34},{2,3,34},{1,4,61},{1,4,61},{3,6,966},{3,5,614},{3,4,874},{3,4,658},{2,7,1686},{2,5,738},{2,4,659},{2,4,723},{0,6,1518},{1,4,446},{3,6,525},{3,5,173},{3,4,433},{3,4,217},{5,2,1517},{1,6,457},{3,4,274},{1,4,437},{5,3,1517},{1,4,437},{3,5,514},{3,5,514},{3,5,514},{3,4,514},{2,6,515},{2,5,209},{2,5,209},
{2,3,579},{1,5,510},{1,4,302},{3,5,73},{3,5,73},{3,5,73},{3,4,73},{5,1,346},{2,5,40},{2,5,40},{3,3,293},{7,1,346},{3,3,293},{5,3,421},{3,5,109},{4,4,180},{3,4,153},{5,3,421},{6,3,421},{3,4,153},{0,4,433},{6,3,421},{0,4,433},{3,0,505},{3,0,505},{3,0,505},{3,0,505},{2,5,173},{2,5,173},{2,5,173},{2,3,290},{1,4,13},
{1,4,13},{3,7,854},{3,6,438},{3,5,746},{3,5,702},{3,6,1658},{3,5,801},{3,5,609},{3,4,845},{1,6,1758},{2,4,590},{3,7,710},{3,6,294},{4,5,558},{3,5,558},{6,1,1514},{2,6,481},{2,5,227},{2,4,509},{4,4,1514},{2,4,509},{3,6,434},{3,6,434},{3,6,434},{3,5,533},{3,5,484},{3,4,292},{3,4,292},{3,4,404},{1,5,357},{2,4,149},{3,6,290},
{3,6,290},{3,6,290},{4,4,290},{6,0,340},{2,5,58},{2,5,58},{2,4,68},{3,4,340},{2,4,68},{6,2,421},{3,6,5},{4,5,269},{2,5,178},{6,2,421},{5,4,421},{2,5,178},{0,4,505},{5,4,421},{0,4,505},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{3,4,148},{3,4,148},{3,4,148},{3,3,193},{2,4,85},{2,4,85},{3,7,1206},{3,6,726},{3,5,1066},
{3,5,670},{3,7,1605},{3,5,785},{3,5,81},{3,4,893},{1,6,1598},{2,4,878},{4,6,502},{4,5,310},{4,5,110},{4,5,302},{7,0,1517},{2,6,465},{3,5,65},{2,4,877},{3,5,1517},{2,4,877},{3,7,677},{3,7,677},{3,7,677},{3,5,645},{3,6,426},{3,5,56},{3,5,56},{3,4,52},{2,5,542},{2,4,37},{4,5,85},{4,5,85},{4,5,85},{4,4,130},{5,2,346},
{3,5,40},{3,5,40},{2,4,36},{7,2,346},{2,4,36},{7,1,421},{3,6,85},{4,5,29},{3,5,29},{7,1,421},{4,5,421},{3,5,29},{0,4,841},{4,5,421},{0,4,841},{3,0,641},{3,0,641},{3,0,641},{3,0,641},{3,4,52},{3,4,52},{3,4,52},{3,4,52},{2,4,37},{2,4,37},{4,7,1362},{4,6,938},{4,5,946},{4,5,946},{3,7,1557},{3,6,558},{3,5,65},
{3,5,1101},{0,7,1662},{2,5,770},{4,7,462},{4,6,38},{4,5,46},{4,5,46},{5,4,1517},{3,6,542},{3,5,49},{1,5,721},{7,3,1517},{1,5,721},{4,5,937},{4,5,937},{4,5,937},{4,5,937},{3,6,362},{3,5,56},{3,5,56},{3,4,84},{1,6,350},{3,4,293},{4,5,37},{4,5,37},{4,5,37},{4,5,37},{6,1,346},{3,5,40},{3,5,40},{3,4,68},{6,3,346},
{3,4,68},{5,5,421},{4,6,37},{4,5,45},{3,5,45},{5,5,421},{3,6,421},{3,5,45},{0,5,685},{3,6,421},{0,5,685},{4,0,901},{4,0,901},{4,0,901},{4,0,901},{3,5,20},{3,5,20},{3,5,20},{3,4,20},{2,5,85},{2,5,85},{4,7,978},{4,6,618},{4,5,850},{4,5,658},{3,7,2021},{3,6,686},{3,5,561},{3,5,733},{1,7,1530},{2,5,450},{4,7,494},
{4,6,134},{4,5,366},{4,5,174},{6,3,1526},{2,7,446},{4,5,269},{2,5,446},{6,4,1526},{2,5,446},{4,6,537},{4,6,537},{4,6,537},{4,5,537},{3,7,500},{3,6,202},{3,6,202},{3,4,500},{1,6,510},{2,5,329},{4,6,53},{4,6,53},{4,6,53},{4,5,53},{7,0,340},{3,6,58},{3,6,58},{4,4,265},{3,5,340},{4,4,265},{6,4,421},{4,6,85},{5,5,170},
{4,5,125},{6,4,421},{7,4,421},{4,5,125},{0,5,445},{7,4,421},{0,5,445},{4,0,533},{4,0,533},{4,0,533},{4,0,533},{3,6,153},{3,6,153},{3,6,153},{3,4,244},{2,5,5},{2,5,5},{4,7,1158},{4,7,438},{4,6,742},{4,6,742},{4,7,1686},{4,6,839},{3,6,677},{4,5,875},{1,7,1710},{3,5,590},{5,6,769},{4,7,269},{4,6,573},{4,6,573},{7,2,1517},
{3,7,510},{3,6,236},{3,5,490},{5,5,1517},{3,5,490},{4,7,429},{4,7,429},{4,7,429},{4,5,546},{4,6,515},{4,5,299},{4,5,299},{4,5,475},{2,6,350},{3,5,190},{4,7,260},{4,7,260},{4,7,260},{5,5,328},{7,1,346},{3,6,40},{3,6,40},{3,5,90},{7,3,346},{3,5,90},{7,3,421},{4,7,13},{4,6,317},{3,6,200},{7,3,421},{6,5,421},{3,6,200},
{0,5,481},{6,5,421},{0,5,481},{4,0,425},{4,0,425},{4,0,425},{4,0,425},{4,5,178},{4,5,178},{4,5,178},{4,4,205},{3,5,109},{3,5,109},{4,7,1862},{4,7,662},{4,6,998},{4,6,646},{4,7,1686},{4,6,759},{4,6,119},{4,5,859},{2,7,1590},{3,5,814},{5,7,521},{5,6,305},{5,6,145},{5,6,361},{5,6,1526},{3,7,446},{4,6,94},{3,5,810},{4,6,1526},
{3,5,810},{4,7,637},{4,7,637},{4,7,637},{4,6,610},{4,6,435},{4,6,83},{4,6,83},{4,5,75},{1,7,565},{3,5,30},{5,6,109},{5,6,109},{5,6,109},{5,5,136},{6,3,340},{4,6,58},{4,6,58},{3,5,26},{6,4,340},{3,5,26},{5,7,421},{4,7,61},{5,6,45},{4,6,45},{5,7,421},{5,6,421},{4,6,45},{0,5,785},{5,6,421},{0,5,785},{4,0,601},
{4,0,601},{4,0,601},{4,0,601},{4,5,50},{4,5,50},{4,5,50},{4,5,74},{3,5,29},{3,5,29},{5,7,1498},{5,7,1014},{5,6,994},{5,6,1018},{4,7,2198},{4,7,578},{4,6,39},{4,6,1183},{2,7,1878},{3,6,846},{5,7,537},{5,7,53},{5,6,33},{5,6,57},{7,3,1526},{4,7,569},{4,6,30},{2,6,758},{6,5,1526},{2,6,758},{5,6,990},{5,6,990},{5,6,990},
{5,6,1014},{4,7,349},{4,6,35},{4,6,35},{4,5,59},{2,7,357},{3,5,254},{5,6,29},{5,6,29},{5,6,29},{5,6,53},{7,2,340},{4,6,26},{4,6,26},{4,5,50},{5,5,340},{4,5,50},{6,6,425},{5,7,49},{5,6,29},{4,6,29},{6,6,425},{4,7,425},{4,6,29},{0,6,733},{4,7,425},{0,6,733},{5,0,965},{5,0,965},{5,0,965},{5,0,965},{4,6,10},
{4,6,10},{4,6,10},{4,5,10},{3,6,113},{3,6,113},{5,7,1466},{5,7,630},{5,6,834},{5,6,666},{5,7,2055},{4,7,642},{4,6,471},{4,6,751},{3,7,1766},{3,6,462},{5,7,937},{5,7,101},{5,6,305},{5,6,137},{5,7,1526},{4,7,521},{5,6,270},{3,6,461},{5,6,1526},{3,6,461},{5,7,566},{5,7,566},{5,7,566},{5,6,566},{4,7,621},{4,7,201},{4,7,201},
{4,5,427},{2,7,469},{3,6,362},{5,7,37},{5,7,37},{5,7,37},{5,6,37},{5,6,338},{4,7,80},{4,7,80},{5,5,241},{4,6,338},{5,5,241},{7,5,425},{5,7,65},{6,6,164},{5,6,101},{7,5,425},{6,6,433},{5,6,101},{0,6,461},{6,6,433},{0,6,461},{5,0,565},{5,0,565},{5,0,565},{5,0,565},{4,7,137},{4,7,137},{4,7,137},{4,5,202},{3,6,1},
{3,6,1},{5,7,2042},{5,7,810},{5,7,746},{5,7,790},{5,7,2073},{5,7,885},{4,7,651},{4,6,877},{4,7,2102},{4,6,598},{6,7,794},{6,7,530},{5,7,550},{5,7,594},{6,6,1526},{5,7,689},{4,7,251},{4,6,477},{6,6,1526},{4,6,477},{5,7,521},{5,7,521},{5,7,521},{5,6,521},{5,7,552},{5,6,312},{5,6,312},{4,6,516},{3,7,349},{4,6,237},{5,7,325},
{5,7,325},{5,7,325},{5,6,325},{6,5,340},{4,7,26},{4,7,26},{4,6,116},{3,7,340},{4,6,116},{6,7,433},{6,7,169},{5,7,325},{4,7,226},{6,7,433},{7,6,425},{4,7,226},{0,6,461},{7,6,425},{0,6,461},{5,0,421},{5,0,421},{5,0,421},{5,0,421},{5,6,212},{5,6,212},{5,6,212},{5,5,221},{4,6,137},{4,6,137},{6,7,2362},{5,7,1514},{5,7,938},
{5,7,630},{5,7,2633},{5,7,741},{5,7,165},{5,6,833},{4,7,2070},{4,6,758},{6,7,762},{6,7,306},{6,7,186},{6,7,426},{7,5,1526},{5,7,705},{5,7,129},{4,6,749},{5,7,1541},{4,6,749},{5,7,889},{5,7,889},{5,7,889},{5,7,581},{5,7,424},{5,7,116},{5,7,116},{5,6,104},{3,7,525},{4,6,29},{6,7,137},{6,7,137},{6,7,137},{6,6,146},{7,4,338},
{5,7,80},{5,7,80},{4,6,20},{7,5,338},{4,6,20},{7,6,433},{6,7,185},{6,7,65},{5,7,65},{7,6,433},{6,7,425},{5,7,65},{0,6,733},{6,7,425},{0,6,733},{5,0,565},{5,0,565},{5,0,565},{5,0,565},{5,6,52},{5,6,52},{5,6,52},{5,6,100},{4,6,25},{4,6,25},{6,7,2073},{6,7,1449},{6,7,1049},{5,7,981},{6,7,2548},{5,7,1044},{5,7,20},
{5,6,1196},{5,7,2365},{4,7,929},{6,7,1049},{6,7,425},{6,7,25},{6,7,73},{7,6,1492},{6,7,948},{5,7,16},{3,7,800},{7,6,1460},{3,7,800},{6,7,1049},{6,7,1049},{6,7,1049},{5,7,981},{5,7,680},{5,7,20},{5,7,20},{5,6,40},{4,7,434},{4,6,205},{6,7,25},{6,7,25},{6,7,25},{6,7,73},{7,5,370},{5,7,16},{5,7,16},{5,6,36},{6,6,338},
{5,6,36},{7,7,410},{7,7,338},{6,7,16},{5,7,16},{7,7,410},{6,7,464},{5,7,16},{0,7,784},{6,7,464},{0,7,784},{5,0,965},{5,0,965},{5,0,965},{5,0,965},{5,7,4},{5,7,4},{5,7,4},{5,6,4},{4,7,145},{4,7,145},{6,7,1769},{6,7,1145},{6,7,745},{6,7,601},{6,7,1940},{6,7,1172},{5,7,308},{5,7,696},{5,7,1805},{4,7,401},{7,7,1043},
{6,7,569},{6,7,169},{6,7,25},{7,6,1076},{6,7,596},{6,7,196},{4,7,401},{6,7,1076},{4,7,401},{6,7,745},{6,7,745},{6,7,745},{6,7,601},{6,7,916},{5,7,308},{5,7,308},{5,6,360},{4,7,626},{5,6,341},{6,7,169},{6,7,169},{6,7,169},{6,7,25},{6,7,340},{6,7,196},{6,7,196},{6,6,221},{5,7,340},{6,6,221},{7,7,202},{7,7,130},{7,7,81},
{6,7,0},{7,7,202},{7,7,218},{6,7,0},{0,7,400},{7,7,218},{0,7,400},{6,0,601},{6,0,601},{6,0,601},{6,0,601},{5,7,164},{5,7,164},{5,7,164},{5,6,164},{4,7,1},{4,7,1},{6,7,1886},{6,7,1262},{6,7,862},{6,7,502},{6,7,1715},{6,7,731},{6,7,331},{5,7,507},{5,7,1634},{4,7,266},{7,7,521},{7,7,449},{7,7,400},{6,7,277},{7,7,797},
{6,7,506},{6,7,106},{5,7,146},{6,7,770},{5,7,146},{6,7,862},{6,7,862},{6,7,862},{6,7,502},{6,7,691},{6,7,331},{6,7,331},{5,7,507},{5,7,610},{4,7,266},{7,7,400},{7,7,400},{7,7,400},{6,7,277},{7,6,338},{6,7,106},{6,7,106},{5,7,146},{7,6,370},{5,7,146},{7,7,121},{7,7,49},{7,7,0},{7,7,16},{7,7,121},{7,7,65},{7,7,16},
{0,7,121},{7,7,65},{0,7,121},{6,0,421},{6,0,421},{6,0,421},{6,0,421},{6,7,250},{6,7,250},{6,7,250},{6,6,241},{4,7,145},{4,7,145},{7,7,2010},{6,7,1774},{6,7,1374},{6,7,822},{6,7,1923},{6,7,747},{6,7,347},{6,7,139},{6,7,1446},{5,7,34},{7,7,329},{7,7,257},{7,7,208},{7,7,160},{7,7,509},{7,7,389},{6,7,298},{5,7,18},{7,7,549},
{5,7,18},{6,7,1374},{6,7,1374},{6,7,1374},{6,7,822},{6,7,899},{6,7,347},{6,7,347},{6,7,139},{5,7,866},{5,7,34},{7,7,208},{7,7,208},{7,7,208},{7,7,160},{7,7,388},{6,7,298},{6,7,298},{5,7,18},{6,7,370},{5,7,18},{7,7,185},{7,7,113},{7,7,64},{7,7,16},{7,7,185},{7,7,65},{7,7,16},{0,7,9},{7,7,65},{0,7,9},{6,0,533},
{6,0,533},{6,0,533},{6,0,533},{6,7,58},{6,7,58},{6,7,58},{6,7,130},{5,7,25},{5,7,25},{7,7,1347},{7,7,1275},{7,7,1226},{7,7,1154},{7,7,1431},{6,7,922},{6,7,522},{6,7,2},{6,7,1125},{5,7,137},{7,7,258},{7,7,186},{7,7,137},{7,7,65},{7,7,342},{7,7,198},{7,7,149},{6,7,1},{7,7,294},{6,7,1},{7,7,1226},{7,7,1226},{7,7,1226},
{7,7,1154},{6,7,1146},{6,7,522},{6,7,522},{6,7,2},{6,7,725},{5,7,137},{7,7,137},{7,7,137},{7,7,137},{7,7,65},{7,7,221},{7,7,149},{7,7,149},{6,7,1},{7,7,245},{6,7,1},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,901},{6,0,901},{6,0,901},{6,0,901},{6,7,122},
{6,7,122},{6,7,122},{6,7,2},{5,7,137},{5,7,137},{7,7,883},{7,7,811},{7,7,762},{7,7,690},{7,7,871},{7,7,727},{7,7,678},{6,7,130},{6,7,949},{6,7,149},{7,7,258},{7,7,186},{7,7,137},{7,7,65},{7,7,246},{7,7,102},{7,7,53},{7,7,36},{7,7,134},{7,7,36},{7,7,762},{7,7,762},{7,7,762},{7,7,690},{7,7,750},{7,7,678},{7,7,678},
{6,7,130},{6,7,549},{6,7,149},{7,7,137},{7,7,137},{7,7,137},{7,7,65},{7,7,125},{7,7,53},{7,7,53},{7,7,36},{7,7,85},{7,7,36},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{7,0,641},{7,0,641},{7,0,641},{7,0,641},{6,7,442},{6,7,442},{6,7,442},{6,7,130},{6,7,149},
{6,7,149},{0,3,932},{0,2,218},{0,1,82},{0,1,250},{0,2,1971},{0,1,1371},{0,1,611},{0,0,1950},{0,1,2332},{0,0,1986},{0,3,932},{0,2,218},{0,1,82},{0,1,250},{1,0,1899},{0,1,1371},{0,1,611},{0,0,1950},{1,0,1923},{0,0,1950},{0,1,1},{0,1,1},{0,1,1},{0,0,64},{0,0,180},{0,0,100},{0,0,100},{0,0,101},{0,0,200},{0,0,137},{0,1,1},
{0,1,1},{0,1,1},{0,0,64},{0,0,180},{0,0,100},{0,0,100},{0,0,101},{0,0,164},{0,0,101},{1,1,884},{0,2,218},{0,1,82},{0,1,250},{1,1,884},{2,0,900},{0,1,250},{0,1,1170},{2,0,900},{0,1,1170},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,3,900},{0,2,250},{0,2,314},
{0,1,314},{0,2,2355},{0,1,1755},{0,1,675},{0,1,1875},{0,1,2716},{0,1,2236},{0,3,900},{0,2,250},{0,2,314},{0,1,314},{0,2,2355},{0,1,1755},{0,1,675},{0,1,1875},{0,1,2355},{0,1,1875},{0,2,25},{0,2,25},{0,2,25},{0,1,25},{0,1,410},{0,0,292},{0,0,292},{0,0,181},{0,0,392},{0,0,217},{0,2,25},{0,2,25},{0,2,25},{0,1,25},{0,1,410},
{0,0,292},{0,0,292},{0,0,181},{0,0,356},{0,0,181},{2,0,884},{0,2,250},{0,2,314},{0,1,314},{2,0,884},{3,0,884},{0,1,314},{0,1,914},{3,0,884},{0,1,914},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,4,890},{0,3,104},{0,2,90},{0,2,442},{0,2,2995},{0,2,1851},{0,1,995},
{0,1,1875},{0,1,3356},{0,1,2236},{0,4,890},{0,3,104},{0,2,90},{0,2,442},{1,1,2932},{0,2,1851},{0,1,995},{0,1,1875},{2,0,2900},{0,1,1875},{0,2,9},{0,2,9},{0,2,9},{0,1,9},{0,1,586},{0,1,370},{0,1,370},{0,0,389},{0,0,712},{0,0,425},{0,2,9},{0,2,9},{0,2,9},{0,1,9},{0,1,586},{0,1,370},{0,1,370},{0,0,389},{1,0,650},
{0,0,389},{1,2,890},{0,3,104},{0,2,90},{0,2,442},{1,2,890},{2,1,890},{0,2,442},{0,1,914},{2,1,890},{0,1,914},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,4,990},{0,3,140},{0,2,158},{0,2,158},{0,3,3048},{0,2,1707},{0,2,747},{0,1,1795},{0,1,3916},{0,1,2156},{0,4,990},
{0,3,140},{0,2,158},{0,2,158},{0,3,3048},{0,2,1707},{0,2,747},{0,1,1795},{1,1,3048},{0,1,1795},{0,3,40},{0,3,40},{0,3,40},{0,1,157},{0,1,698},{0,1,290},{0,1,290},{0,0,641},{0,0,1076},{0,0,677},{0,3,40},{0,3,40},{0,3,40},{0,1,157},{1,0,666},{0,1,290},{0,1,290},{0,0,641},{1,0,650},{0,0,641},{2,1,890},{0,3,104},{0,2,122},
{0,2,122},{2,1,890},{4,0,890},{0,2,122},{0,1,1170},{4,0,890},{0,1,1170},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,0,0},{0,0,0},{0,0,0},{0,0,16},{0,0,52},{0,0,52},{0,5,1115},{0,4,265},{0,2,689},{0,2,293},{0,4,3096},{0,3,1731},{0,2,324},{0,1,2020},{0,2,4009},{0,1,2381},{0,5,1115},{0,4,265},{1,2,429},{0,2,293},{1,2,3048},
{0,3,1731},{0,2,324},{0,1,2020},{0,2,3048},{0,1,2020},{0,4,261},{0,4,261},{0,4,261},{0,2,229},{0,2,656},{0,2,260},{0,2,260},{0,1,256},{0,1,1017},{0,1,617},{0,4,261},{0,4,261},{0,4,261},{0,2,229},{0,2,656},{0,2,260},{0,2,260},{0,1,256},{0,1,656},{0,1,256},{3,0,890},{0,4,40},{1,2,68},{0,2,68},{3,0,890},{5,0,890},{0,2,68},
{0,2,1220},{5,0,890},{0,2,1220},{0,0,225},{0,0,225},{0,0,225},{0,0,225},{0,1,16},{0,1,16},{0,1,16},{0,0,25},{0,0,61},{0,0,61},{0,6,1419},{0,4,569},{0,3,1078},{0,2,821},{0,4,3096},{0,3,1395},{0,2,356},{0,2,1832},{0,2,4201},{0,2,2793},{1,4,1011},{1,3,353},{1,2,413},{1,2,413},{2,1,3048},{0,3,1395},{0,2,356},{0,2,1832},{4,0,3048},
{0,2,1832},{0,4,533},{0,4,533},{0,4,533},{0,2,565},{0,3,666},{0,2,100},{0,2,100},{0,1,128},{0,1,1209},{0,1,489},{1,2,157},{1,2,157},{1,2,157},{1,2,157},{1,1,650},{0,2,100},{0,2,100},{0,1,128},{1,1,666},{0,1,128},{3,1,890},{0,4,40},{1,2,292},{0,2,292},{3,1,890},{4,1,890},{0,2,292},{0,2,932},{4,1,890},{0,2,932},{0,0,529},
{0,0,529},{0,0,529},{0,0,529},{0,1,16},{0,1,16},{0,1,16},{0,1,64},{0,0,205},{0,0,205},{0,6,1915},{0,5,1019},{1,3,1269},{0,3,1110},{0,5,3051},{0,3,1443},{0,3,318},{0,2,1384},{0,2,4777},{0,2,2345},{1,5,909},{1,4,131},{1,3,113},{1,3,509},{3,0,3051},{0,3,1443},{0,3,318},{0,2,1384},{3,1,3051},{0,2,1384},{0,5,970},{0,5,970},{0,5,970},
{0,3,1010},{0,3,698},{0,2,196},{0,2,196},{0,1,256},{0,2,1641},{0,1,617},{1,3,13},{1,3,13},{1,3,13},{1,2,13},{2,0,650},{0,2,196},{0,2,196},{0,1,256},{3,0,650},{0,1,256},{2,3,884},{0,5,58},{1,3,104},{0,3,149},{2,3,884},{6,0,884},{0,3,149},{0,2,900},{6,0,884},{0,2,900},{0,0,961},{0,0,961},{0,0,961},{0,0,961},{0,2,0},
{0,2,0},{0,2,0},{0,1,0},{0,1,361},{0,1,361},{1,5,2113},{1,4,1271},{1,3,1285},{1,3,1329},{0,6,3123},{0,4,1208},{0,3,30},{0,2,1320},{0,3,5011},{0,2,2281},{1,5,957},{1,4,115},{1,3,129},{1,3,173},{1,4,3051},{0,4,1208},{0,3,30},{0,2,1320},{2,2,3051},{0,2,1320},{1,4,1190},{1,4,1190},{1,4,1190},{1,2,1281},{0,4,648},{0,3,26},{0,3,26},
{0,2,296},{0,2,1641},{0,1,1001},{1,4,34},{1,4,34},{1,4,34},{1,2,125},{0,4,648},{0,3,26},{0,3,26},{0,2,296},{2,1,648},{0,2,296},{3,2,884},{0,5,26},{1,3,104},{0,3,5},{3,2,884},{5,1,884},{0,3,5},{0,2,1124},{5,1,884},{0,2,1124},{1,0,1181},{1,0,1181},{1,0,1181},{1,0,1181},{0,3,25},{0,3,25},{0,3,25},{0,1,64},{0,1,425},
{0,1,425},{1,6,1864},{1,5,1038},{1,3,1390},{1,3,1038},{0,6,3132},{0,4,1199},{0,3,201},{0,2,1743},{0,3,4924},{0,2,2332},{1,6,1080},{1,5,254},{2,3,458},{1,3,254},{2,3,3051},{0,4,1163},{0,3,165},{0,2,1707},{6,0,3051},{0,2,1707},{1,4,1016},{1,4,1016},{1,4,1016},{1,3,989},{0,5,716},{0,3,152},{0,3,152},{0,2,62},{0,2,1611},{0,2,651},{1,4,232},
{1,4,232},{1,4,232},{1,3,205},{1,3,650},{0,3,116},{0,3,116},{0,2,26},{1,2,650},{0,2,26},{4,1,884},{1,5,58},{2,3,58},{1,3,58},{4,1,884},{4,2,884},{1,3,58},{0,3,1274},{4,2,884},{0,3,1274},{1,0,980},{1,0,980},{1,0,980},{1,0,980},{0,3,52},{0,3,52},{0,3,52},{0,2,61},{0,1,458},{0,1,458},{1,7,1784},{1,5,910},{1,4,1441},
{1,3,1134},{0,7,3247},{0,5,1292},{0,4,567},{0,3,1474},{0,4,4900},{0,3,2178},{2,5,1028},{2,4,362},{2,3,394},{2,3,418},{3,2,3051},{0,5,1096},{1,3,331},{0,3,1278},{5,1,3051},{0,3,1278},{1,5,885},{1,5,885},{1,5,885},{1,3,909},{0,5,876},{0,4,206},{0,4,206},{0,2,254},{0,3,1548},{0,2,347},{2,3,169},{2,3,169},{2,3,169},{2,3,193},{2,2,648},
{0,4,10},{0,4,10},{0,2,58},{5,0,648},{0,2,58},{5,0,884},{1,5,26},{2,3,250},{1,3,250},{5,0,884},{3,3,884},{1,3,250},{0,3,954},{3,3,884},{0,3,954},{1,0,884},{1,0,884},{1,0,884},{1,0,884},{0,4,197},{0,4,197},{0,4,197},{0,2,205},{0,2,298},{0,2,298},{1,7,1976},{1,6,1124},{1,4,1649},{1,4,1229},{1,6,3204},{0,5,1452},{1,4,525},
{0,3,1474},{0,4,4420},{0,3,1474},{2,6,930},{2,5,160},{2,4,138},{2,3,546},{4,1,3060},{0,5,968},{0,4,195},{0,3,990},{4,2,3060},{0,3,990},{1,6,1060},{1,6,1060},{1,6,1060},{1,4,1108},{1,4,824},{1,3,314},{1,3,314},{1,2,370},{0,3,1260},{0,2,427},{2,4,17},{2,4,17},{2,4,17},{2,3,17},{3,1,648},{0,4,74},{0,4,74},{1,2,226},{4,1,648},
{1,2,226},{3,4,882},{1,6,80},{2,4,122},{0,4,146},{3,4,882},{7,1,882},{0,4,146},{0,3,890},{7,1,882},{0,3,890},{1,0,1044},{1,0,1044},{1,0,1044},{1,0,1044},{1,3,145},{1,3,145},{1,3,145},{1,2,145},{0,2,202},{0,2,202},{2,6,2374},{1,6,1476},{2,4,1550},{1,4,1469},{1,6,3172},{1,5,1259},{1,4,61},{1,3,1323},{0,4,4452},{0,3,1282},{2,6,930},
{2,5,96},{2,4,106},{2,4,194},{5,0,3060},{0,6,1144},{1,4,45},{0,3,1086},{6,1,3060},{0,3,1086},{2,5,1476},{2,5,1476},{2,5,1476},{1,4,1460},{1,5,666},{1,4,52},{1,4,52},{1,3,362},{0,3,1356},{0,3,321},{2,5,32},{2,5,32},{2,5,32},{2,3,97},{4,0,650},{1,4,36},{1,4,36},{0,3,125},{3,2,650},{0,3,125},{4,3,882},{1,6,16},{2,4,90},
{1,4,9},{4,3,882},{6,2,882},{1,4,9},{0,3,1082},{6,2,882},{0,3,1082},{1,0,1460},{1,0,1460},{1,0,1460},{1,0,1460},{1,4,52},{1,4,52},{1,4,52},{1,2,65},{0,3,200},{0,3,200},{2,7,1892},{2,6,1090},{2,4,1370},{2,4,1062},{1,7,3100},{1,5,1169},{1,4,151},{1,3,1665},{0,5,4036},{0,3,1678},{2,7,1051},{2,6,249},{3,4,493},{2,4,221},{3,4,3060},
{0,6,883},{1,4,126},{0,4,1528},{7,1,3060},{0,4,1528},{2,5,1035},{2,5,1035},{2,5,1035},{2,4,1026},{1,6,723},{1,4,115},{1,4,115},{1,3,65},{0,4,1004},{0,3,78},{2,5,194},{2,5,194},{2,5,194},{2,4,185},{2,4,648},{1,4,90},{1,4,90},{1,3,40},{7,0,648},{1,3,40},{5,2,882},{2,6,80},{3,4,52},{2,4,52},{5,2,882},{5,3,882},{2,4,52},
{0,4,1332},{5,3,882},{0,4,1332},{2,0,1010},{2,0,1010},{2,0,1010},{2,0,1010},{1,4,34},{1,4,34},{1,4,34},{1,3,61},{0,3,74},{0,3,74},{2,7,1892},{2,6,898},{2,5,1451},{2,4,1094},{2,6,3501},{1,6,1308},{1,5,589},{1,4,1510},{0,5,3940},{0,4,1116},{3,6,1051},{3,5,377},{3,4,381},{3,4,429},{5,1,3060},{0,6,1059},{2,4,312},{0,4,1016},{6,2,3060},
{0,4,1016},{2,6,882},{2,6,882},{2,6,882},{2,4,898},{1,6,835},{1,5,189},{1,5,189},{1,3,209},{0,4,1036},{0,3,270},{3,4,185},{3,4,185},{3,4,185},{3,4,233},{3,3,650},{1,5,20},{1,5,20},{1,3,40},{6,1,650},{1,3,40},{6,1,882},{2,6,16},{3,4,212},{2,4,212},{6,1,882},{4,4,882},{2,4,212},{0,4,980},{4,4,882},{0,4,980},{2,0,882},
{2,0,882},{2,0,882},{2,0,882},{1,5,173},{1,5,173},{1,5,173},{1,3,173},{0,4,136},{0,4,136},{2,7,2404},{2,7,1116},{2,5,1595},{2,5,1235},{2,7,3244},{1,6,1404},{2,5,619},{1,4,1446},{0,6,3804},{0,4,892},{3,7,957},{3,6,195},{3,5,169},{3,4,509},{6,0,3060},{0,7,936},{1,5,196},{0,4,888},{3,4,3060},{0,4,888},{2,7,1035},{2,7,1035},{2,7,1035},
{2,5,1091},{2,5,835},{2,4,317},{2,4,317},{2,3,369},{0,5,875},{1,3,396},{3,5,25},{3,5,25},{3,5,25},{3,4,25},{4,2,650},{1,5,52},{1,5,52},{2,3,200},{5,2,650},{2,3,200},{7,0,884},{2,7,106},{3,5,144},{1,5,160},{7,0,884},{3,5,884},{1,5,160},{0,4,884},{3,5,884},{0,4,884},{2,0,1010},{2,0,1010},{2,0,1010},{2,0,1010},{2,4,173},
{2,4,173},{2,4,173},{2,3,173},{0,4,8},{0,4,8},{3,7,2430},{2,7,1404},{3,5,1610},{2,5,1411},{2,7,3148},{2,6,1309},{2,5,91},{2,4,1325},{0,6,3484},{0,4,1180},{3,7,909},{3,6,83},{3,5,89},{3,5,221},{4,4,3051},{0,7,1000},{2,5,66},{1,4,1053},{7,2,3051},{1,4,1053},{2,7,1403},{2,7,1403},{2,7,1403},{2,5,1395},{2,6,681},{2,5,75},{2,5,75},
{2,4,425},{0,5,795},{0,4,280},{3,6,34},{3,6,34},{3,6,34},{3,4,73},{5,1,656},{2,5,50},{2,5,50},{1,4,153},{7,1,656},{1,4,153},{5,4,884},{2,7,10},{3,5,80},{2,5,17},{5,4,884},{7,3,884},{2,5,17},{0,4,1044},{7,3,884},{0,4,1044},{2,0,1394},{2,0,1394},{2,0,1394},{2,0,1394},{2,4,61},{2,4,61},{2,4,61},{2,3,61},{0,4,136},
{0,4,136},{3,7,2214},{3,7,1150},{3,5,1358},{3,5,1094},{2,7,3652},{2,6,1147},{2,5,109},{2,4,1595},{0,7,3724},{0,5,1402},{3,7,1314},{3,7,250},{3,5,458},{3,5,194},{5,3,3060},{1,7,888},{2,5,93},{0,5,1398},{6,3,3060},{0,5,1398},{3,6,1060},{3,6,1060},{3,6,1060},{3,5,1069},{2,7,736},{2,5,84},{2,5,84},{2,4,74},{0,6,820},{1,4,81},{3,6,160},
{3,6,160},{3,6,160},{3,5,169},{6,0,650},{2,5,68},{2,5,68},{1,4,45},{3,4,650},{1,4,45},{6,3,884},{3,7,106},{4,5,50},{3,5,50},{6,3,884},{6,4,884},{3,5,50},{0,5,1394},{6,4,884},{0,5,1394},{3,0,1044},{3,0,1044},{3,0,1044},{3,0,1044},{2,5,20},{2,5,20},{2,5,20},{2,4,65},{0,5,8},{0,5,8},{3,7,2566},{3,7,894},{3,6,1469},
{3,5,1062},{3,7,3535},{2,7,1332},{2,6,619},{2,5,1554},{0,7,3276},{0,5,1146},{4,7,1080},{4,6,398},{4,5,374},{4,5,446},{6,2,3051},{1,7,1016},{3,5,299},{0,5,1046},{5,4,3051},{0,5,1046},{3,7,885},{3,7,885},{3,7,885},{3,5,893},{2,7,800},{2,6,178},{2,6,178},{2,4,170},{0,6,660},{1,4,225},{4,5,205},{4,5,205},{4,5,205},{4,5,277},{5,2,656},
{2,6,34},{2,6,34},{2,4,26},{7,2,656},{2,4,26},{7,2,884},{3,7,10},{4,5,178},{3,5,178},{7,2,884},{5,5,884},{3,5,178},{0,5,1010},{5,5,884},{0,5,1010},{3,0,884},{3,0,884},{3,0,884},{3,0,884},{2,6,153},{2,6,153},{2,6,153},{2,4,145},{0,5,136},{0,5,136},{4,7,3320},{3,7,1150},{3,6,1549},{3,6,1249},{3,7,3487},{2,7,1364},{2,6,603},
{2,5,1426},{0,7,3340},{1,5,892},{4,7,1016},{4,7,236},{4,6,206},{4,5,478},{7,1,3051},{2,7,964},{2,6,203},{1,5,883},{4,5,3051},{1,5,883},{3,7,1029},{3,7,1029},{3,7,1029},{3,6,1080},{3,6,852},{3,5,326},{3,5,326},{3,4,374},{0,6,884},{2,4,371},{4,6,37},{4,6,37},{4,6,37},{4,5,37},{6,1,656},{2,6,34},{2,6,34},{3,4,178},{6,3,656},
{3,4,178},{5,6,890},{3,7,170},{4,6,170},{2,6,178},{5,6,890},{4,6,890},{2,6,178},{0,5,882},{4,6,890},{0,5,882},{3,0,980},{3,0,980},{3,0,980},{3,0,980},{3,5,205},{3,5,205},{3,5,205},{3,4,205},{1,5,10},{1,5,10},{4,7,2936},{4,7,1676},{4,6,1678},{3,6,1361},{3,7,3951},{3,7,1367},{3,6,129},{3,5,1335},{1,7,3496},{1,5,1116},{4,7,1336},
{4,7,76},{4,6,78},{4,6,254},{5,5,3048},{2,7,1124},{3,6,93},{2,5,1026},{3,6,3048},{2,5,1026},{3,7,1557},{3,7,1557},{3,7,1557},{3,6,1336},{3,7,702},{3,6,104},{3,6,104},{3,5,494},{0,7,667},{1,5,275},{4,7,40},{4,7,40},{4,7,40},{4,5,53},{7,0,650},{3,6,68},{3,6,68},{2,5,185},{3,5,650},{2,5,185},{7,3,890},{4,7,72},{4,6,74},
{3,6,29},{7,3,890},{6,5,890},{3,6,29},{0,5,1010},{6,5,890},{0,5,1010},{3,0,1332},{3,0,1332},{3,0,1332},{3,0,1332},{3,5,61},{3,5,61},{3,5,61},{3,4,61},{1,5,106},{1,5,106},{4,7,3116},{4,7,1316},{4,6,1354},{4,6,1134},{4,7,4084},{3,7,1133},{3,6,75},{3,5,1533},{1,7,3676},{1,6,1470},{5,7,1429},{4,7,355},{4,6,393},{4,6,173},{6,4,3051},
{3,7,1124},{3,6,66},{1,6,1469},{7,4,3051},{1,6,1469},{4,7,1091},{4,7,1091},{4,7,1091},{4,6,1118},{3,7,729},{3,6,59},{3,6,59},{3,5,89},{0,7,820},{2,5,90},{4,7,130},{4,7,130},{4,7,130},{4,6,157},{7,1,656},{3,6,50},{3,6,50},{2,5,41},{7,3,656},{2,5,41},{7,4,890},{4,7,234},{5,6,52},{4,6,52},{7,4,890},{7,5,890},{4,6,52},
{0,5,1460},{7,5,890},{0,5,1460},{4,0,1082},{4,0,1082},{4,0,1082},{4,0,1082},{3,6,10},{3,6,10},{3,6,10},{3,5,73},{1,6,10},{1,6,10},{4,7,3820},{4,7,1540},{4,7,1495},{4,6,1038},{4,7,4084},{3,7,1469},{3,6,571},{3,6,1606},{2,7,3916},{1,6,1150},{5,7,1349},{5,7,425},{5,6,373},{5,6,469},{7,3,3048},{3,7,1348},{4,6,292},{1,6,1069},{6,5,3048},
{1,6,1069},{4,7,1011},{4,7,1011},{4,7,1011},{4,6,894},{3,7,1161},{3,7,173},{3,7,173},{3,5,137},{1,7,659},{2,5,186},{5,6,229},{5,6,229},{5,6,229},{5,6,325},{6,3,650},{3,7,52},{3,7,52},{3,5,16},{6,4,650},{3,5,16},{6,6,890},{5,7,200},{5,6,148},{4,6,148},{6,6,890},{6,6,890},{4,6,148},{0,6,1044},{6,6,890},{0,6,1044},{4,0,890},
{4,0,890},{4,0,890},{4,0,890},{3,7,137},{3,7,137},{3,7,137},{3,5,121},{1,6,106},{1,6,106},{5,7,4054},{4,7,2276},{4,7,1511},{4,7,1271},{4,7,4596},{4,7,1596},{3,7,577},{3,6,1414},{2,7,4204},{2,6,900},{5,7,1653},{5,7,377},{5,7,249},{5,6,453},{5,7,3048},{4,7,1371},{3,7,216},{2,6,884},{5,6,3048},{2,6,884},{4,7,1315},{4,7,1315},{4,7,1315},
{4,6,1054},{4,7,875},{4,6,341},{4,6,341},{4,5,385},{1,7,835},{3,5,352},{5,7,53},{5,7,53},{5,7,53},{5,6,53},{7,2,650},{3,7,20},{3,7,20},{4,5,160},{5,5,650},{4,5,160},{7,5,890},{5,7,328},{5,7,200},{3,7,200},{7,5,890},{5,7,900},{3,7,200},{0,6,884},{5,7,900},{0,6,884},{4,0,954},{4,0,954},{4,0,954},{4,0,954},{4,6,241},
{4,6,241},{4,6,241},{4,5,241},{2,6,16},{2,6,16},{5,7,4022},{5,7,2394},{5,7,1754},{4,7,1319},{5,7,4921},{4,7,1660},{4,7,175},{4,6,1353},{3,7,4380},{2,6,1060},{6,7,2021},{5,7,713},{5,7,73},{5,7,293},{6,6,3051},{4,7,1611},{4,7,126},{3,6,1005},{4,7,3051},{3,6,1005},{5,7,1718},{5,7,1718},{5,7,1718},{4,7,1283},{4,7,859},{4,7,139},{4,7,139},
{4,5,465},{2,7,779},{2,6,276},{5,7,37},{5,7,37},{5,7,37},{5,6,37},{5,6,648},{4,7,90},{4,7,90},{3,6,221},{4,6,648},{3,6,221},{7,6,900},{6,7,452},{5,7,72},{4,7,45},{7,6,900},{7,6,884},{4,7,45},{0,6,980},{7,6,884},{0,6,980},{4,0,1274},{4,0,1274},{4,0,1274},{4,0,1274},{4,6,65},{4,6,65},{4,6,65},{4,5,65},{2,6,80},
{2,6,80},{5,7,4265},{5,7,2373},{5,7,1349},{5,7,1173},{5,7,4606},{4,7,2065},{4,7,40},{4,6,1266},{3,7,4455},{3,6,1261},{6,7,1649},{6,7,1025},{5,7,325},{5,7,149},{7,5,2817},{5,7,1514},{4,7,36},{3,6,1197},{6,6,2841},{3,6,1197},{5,7,1349},{5,7,1349},{5,7,1349},{5,7,1173},{4,7,1300},{4,7,40},{4,7,40},{4,6,110},{2,7,1040},{3,6,105},{5,7,325},
{5,7,325},{5,7,325},{5,7,149},{6,5,650},{4,7,36},{4,7,36},{3,6,41},{3,7,650},{3,6,41},{7,6,801},{6,7,449},{6,7,49},{4,7,36},{7,6,801},{6,7,761},{4,7,36},{0,6,1181},{6,7,761},{0,6,1181},{5,0,1124},{5,0,1124},{5,0,1124},{5,0,1124},{4,7,4},{4,7,4},{4,7,4},{4,6,85},{2,7,16},{2,7,16},{5,7,4345},{5,7,2453},{5,7,1429},
{5,7,901},{5,7,4190},{5,7,1770},{4,7,360},{4,6,1266},{4,7,3861},{2,7,1041},{6,7,1281},{6,7,657},{6,7,257},{5,7,325},{6,7,2250},{5,7,1194},{5,7,170},{2,7,977},{5,7,2250},{2,7,977},{5,7,1429},{5,7,1429},{5,7,1429},{5,7,901},{5,7,1274},{4,7,360},{4,7,360},{4,6,110},{3,7,979},{3,6,153},{6,7,257},{6,7,257},{6,7,257},{5,7,325},{7,4,648},
{5,7,170},{5,7,170},{4,6,10},{7,5,648},{4,6,10},{7,7,521},{6,7,401},{6,7,1},{5,7,1},{7,7,521},{6,7,521},{5,7,1},{0,7,961},{6,7,521},{0,7,961},{5,0,900},{5,0,900},{5,0,900},{5,0,900},{4,7,164},{4,7,164},{4,7,164},{4,6,101},{2,7,80},{2,7,80},{6,7,3669},{5,7,2917},{5,7,1893},{5,7,1013},{5,7,4158},{5,7,1386},{5,7,362},
{4,7,1049},{4,7,3381},{3,7,555},{6,7,1169},{6,7,545},{6,7,145},{6,7,73},{7,6,1802},{5,7,1130},{5,7,106},{3,7,530},{7,6,1770},{3,7,530},{5,7,1893},{5,7,1893},{5,7,1893},{5,7,1013},{5,7,1242},{5,7,362},{5,7,362},{5,6,402},{3,7,1251},{4,6,339},{6,7,145},{6,7,145},{6,7,145},{6,7,73},{7,5,680},{5,7,106},{5,7,106},{5,6,146},{6,6,648},
{5,6,146},{7,7,265},{7,7,193},{6,7,81},{6,7,9},{7,7,265},{7,7,305},{6,7,9},{0,7,529},{7,7,305},{0,7,529},{5,0,932},{5,0,932},{5,0,932},{5,0,932},{5,7,281},{5,7,281},{5,7,281},{5,6,281},{3,7,26},{3,7,26},{6,7,3077},{6,7,2453},{6,7,2053},{5,7,1509},{6,7,3438},{5,7,1386},{5,7,362},{5,7,650},{5,7,3195},{3,7,283},{7,7,1293},
{6,7,689},{6,7,289},{6,7,25},{7,6,1386},{6,7,786},{5,7,298},{4,7,261},{6,7,1386},{4,7,261},{6,7,2053},{6,7,2053},{6,7,2053},{5,7,1509},{5,7,1594},{5,7,362},{5,7,362},{5,6,434},{4,7,1260},{3,7,283},{6,7,289},{6,7,289},{6,7,289},{6,7,25},{6,7,650},{5,7,298},{5,7,298},{4,7,261},{5,7,650},{4,7,261},{7,7,137},{7,7,65},{7,7,16},
{6,7,25},{7,7,137},{7,7,113},{6,7,25},{0,7,225},{7,7,113},{0,7,225},{5,0,1220},{5,0,1220},{5,0,1220},{5,0,1220},{5,7,73},{5,7,73},{5,7,73},{5,6,73},{3,7,58},{3,7,58},{6,7,2870},{6,7,2246},{6,7,1846},{6,7,1366},{6,7,2889},{6,7,1785},{5,7,821},{5,7,137},{5,7,2700},{4,7,126},{7,7,771},{7,7,699},{7,7,650},{6,7,277},{7,7,1107},
{6,7,696},{6,7,296},{4,7,45},{6,7,1080},{4,7,45},{6,7,1846},{6,7,1846},{6,7,1846},{6,7,1366},{6,7,1865},{5,7,821},{5,7,821},{5,7,137},{4,7,1611},{4,7,126},{7,7,650},{7,7,650},{7,7,650},{6,7,277},{7,6,648},{6,7,296},{6,7,296},{4,7,45},{7,6,680},{4,7,45},{7,7,146},{7,7,74},{7,7,25},{7,7,1},{7,7,146},{7,7,50},{7,7,1},
{0,7,36},{7,7,50},{0,7,36},{6,0,1170},{6,0,1170},{6,0,1170},{6,0,1170},{5,7,145},{5,7,145},{5,7,145},{5,7,101},{4,7,90},{4,7,90},{6,7,2962},{6,7,2338},{6,7,1938},{6,7,1314},{6,7,2677},{6,7,1429},{6,7,1029},{5,7,85},{5,7,2536},{4,7,122},{7,7,531},{7,7,459},{7,7,410},{7,7,338},{7,7,771},{7,7,627},{6,7,404},{5,7,4},{7,7,827},
{5,7,4},{6,7,1938},{6,7,1938},{6,7,1938},{6,7,1314},{6,7,1653},{6,7,1029},{6,7,1029},{5,7,85},{5,7,1512},{4,7,122},{7,7,410},{7,7,410},{7,7,410},{7,7,338},{7,7,650},{6,7,404},{6,7,404},{5,7,4},{6,7,596},{5,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,914},
{6,0,914},{6,0,914},{6,0,914},{5,7,481},{5,7,481},{5,7,481},{5,7,85},{4,7,122},{4,7,122},{7,7,2924},{6,7,2338},{6,7,1938},{6,7,1314},{6,7,2373},{6,7,1125},{6,7,725},{5,7,325},{6,7,2132},{5,7,232},{7,7,323},{7,7,251},{7,7,202},{7,7,130},{7,7,467},{7,7,323},{7,7,274},{5,7,36},{7,7,459},{5,7,36},{6,7,1938},{6,7,1938},{6,7,1938},
{6,7,1314},{6,7,1349},{6,7,725},{6,7,725},{5,7,325},{5,7,1256},{5,7,232},{7,7,202},{7,7,202},{7,7,202},{7,7,130},{7,7,346},{7,7,274},{7,7,274},{5,7,36},{7,7,410},{5,7,36},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,914},{6,0,914},{6,0,914},{6,0,914},{6,7,325},
{6,7,325},{6,7,325},{5,7,325},{5,7,232},{5,7,232},{7,7,2092},{7,7,2020},{7,7,1971},{6,7,1570},{7,7,2140},{6,7,1077},{6,7,677},{6,7,85},{6,7,1588},{5,7,232},{7,7,243},{7,7,171},{7,7,122},{7,7,50},{7,7,291},{7,7,147},{7,7,98},{6,7,4},{7,7,219},{6,7,4},{7,7,1971},{7,7,1971},{7,7,1971},{6,7,1570},{6,7,1301},{6,7,677},{6,7,677},
{6,7,85},{6,7,1188},{5,7,232},{7,7,122},{7,7,122},{7,7,122},{7,7,50},{7,7,170},{7,7,98},{7,7,98},{6,7,4},{7,7,170},{6,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,1170},{6,0,1170},{6,0,1170},{6,0,1170},{6,7,277},{6,7,277},{6,7,277},{6,7,85},{5,7,232},
{5,7,232},{0,4,1618},{0,3,436},{0,2,74},{0,2,866},{0,2,3411},{0,2,2531},{0,1,1251},{0,1,2531},{0,1,3772},{0,1,2892},{0,4,1618},{0,3,436},{0,2,74},{0,2,866},{0,2,3411},{0,2,2531},{0,1,1251},{0,1,2531},{2,0,3376},{0,1,2531},{0,1,25},{0,1,25},{0,1,25},{0,1,49},{0,0,360},{0,0,232},{0,0,232},{0,0,149},{0,0,332},{0,0,185},{0,1,25},
{0,1,25},{0,1,25},{0,1,49},{0,0,360},{0,0,232},{0,0,232},{0,0,149},{0,0,296},{0,0,149},{1,2,1570},{0,3,436},{0,2,74},{0,2,866},{1,2,1570},{0,2,1570},{0,2,866},{0,1,1570},{0,2,1570},{0,1,1570},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,4,1586},{0,3,340},{0,2,10},
{0,2,450},{0,3,4016},{0,2,2627},{0,2,1411},{0,1,2691},{0,1,4572},{0,1,3052},{0,4,1586},{0,3,340},{0,2,10},{0,2,450},{1,1,3968},{0,2,2627},{0,2,1411},{0,1,2691},{2,0,4016},{0,1,2691},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,530},{0,1,362},{0,1,362},{0,0,325},{0,0,620},{0,0,361},{0,2,1},{0,2,1},{0,2,1},{0,1,1},{0,1,530},
{0,1,362},{0,1,362},{0,0,325},{0,0,584},{0,0,325},{2,1,1570},{0,3,340},{0,2,10},{0,2,450},{2,1,1570},{4,0,1570},{0,2,450},{0,1,1730},{4,0,1570},{0,1,1730},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,5,1576},{0,4,290},{0,2,202},{0,2,290},{0,3,4656},{0,2,2979},{0,2,1251},
{0,1,3107},{0,1,5628},{0,1,3468},{0,5,1576},{0,4,290},{0,2,202},{0,2,290},{0,3,4656},{0,2,2979},{0,2,1251},{0,1,3107},{1,1,4656},{0,1,3107},{0,3,16},{0,3,16},{0,3,16},{0,1,81},{0,1,802},{0,1,442},{0,1,442},{0,0,629},{0,0,1036},{0,0,665},{0,3,16},{0,3,16},{0,3,16},{0,1,81},{0,1,802},{0,1,442},{0,1,442},{0,0,629},{1,0,818},
{0,0,629},{3,0,1576},{0,4,290},{0,2,202},{0,2,290},{3,0,1576},{3,1,1576},{0,2,290},{0,1,2146},{3,1,1576},{0,1,2146},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,5,1640},{0,4,162},{0,3,241},{0,2,386},{0,4,5539},{0,3,3512},{0,2,1347},{0,1,3779},{0,2,6396},{0,1,4140},{0,5,1640},
{0,4,162},{0,3,241},{0,2,386},{1,2,5435},{0,3,3512},{0,2,1347},{0,1,3779},{0,2,5435},{0,1,3779},{0,3,16},{0,3,16},{0,3,16},{0,2,25},{0,1,1202},{0,1,650},{0,1,650},{0,1,970},{0,0,1580},{0,0,1097},{0,3,16},{0,3,16},{0,3,16},{0,2,25},{1,0,1170},{0,1,650},{0,1,650},{0,1,970},{1,0,1154},{0,1,970},{2,2,1576},{0,4,162},{0,3,241},
{0,2,386},{2,2,1576},{5,0,1576},{0,2,386},{0,2,1730},{5,0,1576},{0,2,1730},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,6,1667},{0,5,259},{0,3,286},{0,3,406},{0,4,5440},{0,3,3035},{0,2,1284},{0,2,3504},{0,2,6513},{0,2,4465},{0,6,1667},{0,5,259},{0,3,286},{0,3,406},{2,1,5424},
{0,3,3035},{0,2,1284},{0,2,3504},{4,0,5424},{0,2,3504},{0,4,81},{0,4,81},{0,4,81},{0,2,97},{0,2,1160},{0,2,500},{0,2,500},{0,1,520},{0,1,1521},{0,1,881},{0,4,81},{0,4,81},{0,4,81},{0,2,97},{0,2,1160},{0,2,500},{0,2,500},{0,1,520},{0,1,1160},{0,1,520},{2,3,1576},{0,5,178},{1,3,100},{0,3,325},{2,3,1576},{6,0,1576},{0,3,325},
{0,2,1568},{6,0,1576},{0,2,1568},{0,0,81},{0,0,81},{0,0,81},{0,0,81},{0,0,9},{0,0,9},{0,0,9},{0,0,1},{0,0,37},{0,0,37},{0,7,1865},{0,5,339},{0,3,734},{0,3,374},{0,5,5435},{0,3,3019},{0,3,814},{0,2,2992},{0,2,7025},{0,2,3953},{1,5,1865},{0,5,339},{1,3,293},{0,3,374},{3,0,5435},{0,3,3019},{0,3,814},{0,2,2992},{3,1,5435},
{0,2,2992},{0,5,314},{0,5,314},{0,5,314},{0,3,370},{0,3,1170},{0,2,340},{0,2,340},{0,1,392},{0,1,1713},{0,1,753},{1,3,289},{1,3,289},{1,3,289},{1,2,289},{1,1,1154},{0,2,340},{0,2,340},{0,1,392},{1,1,1170},{0,1,392},{4,0,1576},{0,5,50},{1,3,4},{0,3,85},{4,0,1576},{5,1,1576},{0,3,85},{0,2,1696},{5,1,1576},{0,2,1696},{0,0,289},
{0,0,289},{0,0,289},{0,0,289},{0,1,4},{0,1,4},{0,1,4},{0,0,49},{0,0,85},{0,0,85},{0,7,2265},{0,6,787},{1,3,1401},{0,3,726},{0,5,5515},{0,4,2664},{0,3,462},{0,2,2864},{0,3,7363},{0,2,3825},{1,6,1667},{1,5,405},{1,3,245},{1,3,377},{2,2,5427},{0,4,2664},{0,3,462},{0,2,2864},{5,0,5427},{0,2,2864},{0,5,634},{0,5,634},{0,5,634},
{0,3,626},{0,3,1202},{0,3,362},{0,3,362},{0,1,520},{0,2,2145},{0,1,881},{1,4,106},{1,4,106},{1,4,106},{1,2,145},{2,0,1154},{0,3,362},{0,3,362},{0,1,520},{3,0,1154},{0,1,520},{2,4,1576},{0,6,162},{1,3,164},{0,3,101},{2,4,1576},{7,0,1576},{0,3,101},{0,2,2080},{7,0,1576},{0,2,2080},{0,0,625},{0,0,625},{0,0,625},{0,0,625},{0,1,36},
{0,1,36},{0,1,36},{0,1,36},{0,0,261},{0,0,261},{1,6,2775},{0,6,1091},{1,4,1422},{0,3,1462},{0,6,5427},{0,4,2536},{0,3,494},{0,2,3120},{0,3,7635},{0,2,4081},{1,6,1619},{1,5,165},{1,4,266},{1,3,361},{3,1,5427},{0,4,2536},{0,3,494},{0,2,3120},{4,1,5427},{0,2,3120},{0,6,1090},{0,6,1090},{0,6,1090},{0,3,1138},{0,4,1152},{0,3,170},{0,3,170},
{0,2,416},{0,2,2145},{0,1,1265},{1,4,10},{1,4,10},{1,4,10},{1,3,37},{0,4,1152},{0,3,170},{0,3,170},{0,2,416},{2,1,1152},{0,2,416},{3,3,1570},{0,6,2},{1,4,265},{1,3,360},{3,3,1570},{6,1,1570},{1,3,360},{0,3,1768},{6,1,1570},{0,3,1768},{0,0,1089},{0,0,1089},{0,0,1089},{0,0,1089},{0,2,4},{0,2,4},{0,2,4},{0,1,4},{0,1,365},
{0,1,365},{1,7,2796},{1,6,1432},{1,4,1413},{1,4,1593},{0,7,5435},{0,5,2360},{0,4,299},{0,3,2594},{0,3,8400},{0,3,4530},{1,7,1640},{1,6,276},{1,4,257},{1,4,437},{4,0,5427},{0,5,2360},{0,4,299},{0,3,2594},{3,2,5427},{0,3,2594},{1,5,1221},{1,5,1221},{1,5,1221},{1,3,1229},{0,5,1184},{0,4,250},{0,4,250},{0,2,146},{0,2,2451},{0,2,1107},{1,5,65},
{1,5,65},{1,5,65},{1,3,73},{1,3,1154},{0,4,250},{0,4,250},{0,2,146},{1,2,1154},{0,2,146},{4,2,1576},{0,6,128},{2,4,130},{0,4,74},{4,2,1576},{5,2,1576},{0,4,74},{0,3,1570},{5,2,1576},{0,3,1570},{1,0,1220},{1,0,1220},{1,0,1220},{1,0,1220},{0,3,4},{0,3,4},{0,3,4},{0,1,121},{0,1,482},{0,1,482},{1,7,3180},{1,6,1464},{1,4,1813},
{1,4,1513},{0,7,5515},{0,5,2168},{0,4,59},{0,3,2242},{0,4,8764},{0,3,4178},{2,6,1894},{1,6,308},{2,4,326},{1,4,357},{2,4,5427},{0,5,2168},{0,4,59},{0,3,2242},{7,0,5427},{0,3,2242},{1,6,1448},{1,6,1448},{1,6,1448},{1,4,1512},{0,5,1184},{0,4,58},{0,4,58},{0,2,178},{0,2,2995},{0,2,1139},{1,6,292},{1,6,292},{1,6,292},{2,3,325},{2,2,1152},
{0,4,58},{0,4,58},{0,2,178},{5,0,1152},{0,2,178},{5,1,1570},{0,7,34},{2,4,2},{0,4,10},{5,1,1570},{4,3,1570},{0,4,10},{0,3,1666},{4,3,1570},{0,3,1666},{1,0,1412},{1,0,1412},{1,0,1412},{1,0,1412},{0,3,36},{0,3,36},{0,3,36},{0,2,9},{0,1,722},{0,1,722},{1,7,3816},{1,6,1748},{1,5,2450},{1,4,1685},{0,7,5983},{0,6,2180},{0,4,207},
{0,3,2278},{0,4,9004},{0,3,4038},{2,7,1700},{2,6,462},{2,4,230},{2,4,406},{3,3,5420},{0,6,2176},{0,4,203},{0,3,2274},{6,1,5420},{0,3,2274},{1,6,1604},{1,6,1604},{1,6,1604},{1,4,1604},{0,6,1156},{0,4,126},{0,4,126},{0,3,429},{0,3,3044},{0,2,1307},{2,5,136},{2,5,136},{2,5,136},{2,3,149},{3,1,1152},{0,4,122},{0,4,122},{0,3,425},{4,1,1152},
{0,3,425},{6,0,1570},{0,7,130},{2,4,130},{1,4,85},{6,0,1570},{3,4,1570},{1,4,85},{0,3,2018},{3,4,1570},{0,3,2018},{1,0,1600},{1,0,1600},{1,0,1600},{1,0,1600},{0,4,5},{0,4,5},{0,4,5},{0,2,29},{0,2,866},{0,2,866},{1,7,4520},{1,7,1608},{1,5,2418},{1,4,1925},{1,7,5996},{0,6,1956},{0,5,409},{0,4,2751},{0,5,9020},{0,3,3846},{2,7,1604},
{2,6,174},{2,5,297},{2,4,342},{4,2,5420},{0,6,1856},{0,5,309},{0,4,2651},{5,2,5420},{0,4,2651},{1,7,1604},{1,7,1604},{1,7,1604},{1,4,1636},{0,7,1302},{0,5,120},{0,5,120},{0,3,189},{0,3,2820},{0,3,1245},{2,5,8},{2,5,8},{2,5,8},{2,4,53},{4,0,1154},{0,5,20},{0,5,20},{0,3,89},{3,2,1154},{0,3,89},{4,4,1568},{1,7,8},{2,5,293},
{0,5,293},{4,4,1568},{7,2,1568},{0,5,293},{0,4,1810},{7,2,1568},{0,4,1810},{1,0,1600},{1,0,1600},{1,0,1600},{1,0,1600},{0,5,116},{0,5,116},{0,5,116},{0,3,164},{0,2,610},{0,2,610},{2,7,4356},{1,7,2004},{2,5,2635},{1,5,2006},{1,7,5924},{0,6,2316},{0,5,499},{0,4,2337},{0,5,8300},{0,4,3420},{2,7,1955},{2,7,299},{2,5,234},{2,5,474},{5,1,5420},
{0,6,1955},{0,5,138},{0,4,1976},{4,3,5420},{0,4,1976},{1,7,1955},{1,7,1955},{1,7,1955},{1,5,1942},{1,6,1427},{0,5,435},{0,5,435},{0,3,378},{0,4,2628},{0,3,642},{2,6,53},{2,6,53},{2,6,53},{2,4,53},{2,4,1152},{0,5,74},{0,5,74},{0,3,17},{7,0,1152},{0,3,17},{5,3,1570},{1,7,98},{3,5,164},{1,5,100},{5,3,1570},{6,3,1570},{1,5,100},
{0,4,1576},{6,3,1570},{0,4,1576},{1,0,1906},{1,0,1906},{1,0,1906},{1,0,1906},{1,4,234},{1,4,234},{1,4,234},{1,2,325},{0,3,626},{0,3,626},{2,7,4356},{2,7,1964},{2,5,2267},{2,5,2027},{1,7,6404},{1,6,2220},{1,5,117},{1,4,2314},{0,5,8204},{0,4,2684},{3,7,1929},{2,7,283},{3,5,365},{2,5,346},{6,0,5420},{0,7,1712},{1,5,68},{0,4,1784},{3,4,5420},
{0,4,1784},{2,6,1942},{2,6,1942},{2,6,1942},{2,4,2006},{1,6,1219},{1,5,117},{1,5,117},{1,3,209},{0,4,2340},{0,3,514},{2,6,261},{2,6,261},{2,6,261},{2,4,325},{3,3,1154},{0,6,50},{0,6,50},{1,3,160},{6,1,1154},{1,3,160},{6,2,1568},{2,7,58},{3,5,4},{1,5,4},{6,2,1568},{5,4,1568},{1,5,4},{0,4,1640},{5,4,1568},{0,4,1640},{2,0,1906},
{2,0,1906},{2,0,1906},{2,0,1906},{1,4,74},{1,4,74},{1,4,74},{1,3,65},{0,3,370},{0,3,370},{2,7,4868},{2,7,1740},{2,5,2411},{2,5,1691},{2,7,6548},{1,7,2244},{1,5,165},{1,4,2250},{0,6,7668},{0,4,2460},{3,7,1817},{3,7,525},{3,5,221},{3,5,441},{4,4,5419},{0,7,1712},{1,5,164},{0,4,1976},{7,2,5419},{0,4,1976},{2,7,1619},{2,7,1619},{2,7,1619},
{2,5,1627},{1,7,1155},{1,5,101},{1,5,101},{1,3,417},{0,5,2379},{0,4,696},{3,5,157},{3,5,157},{3,5,157},{3,4,157},{4,2,1154},{0,6,82},{0,6,82},{0,4,212},{5,2,1154},{0,4,212},{7,1,1568},{2,7,122},{3,5,100},{2,5,73},{7,1,1568},{4,5,1568},{2,5,73},{0,4,1960},{4,5,1568},{0,4,1960},{2,0,1618},{2,0,1618},{2,0,1618},{2,0,1618},{1,5,1},
{1,5,1},{1,5,1},{1,3,17},{0,3,370},{0,3,370},{3,7,5570},{2,7,2028},{2,6,2394},{2,5,1867},{2,7,6452},{1,7,1956},{1,6,439},{1,4,2698},{0,6,7348},{0,4,2748},{3,7,2089},{3,7,189},{3,6,334},{3,5,329},{5,3,5419},{1,7,1875},{1,6,358},{0,5,2145},{6,3,5419},{0,5,2145},{2,7,1667},{2,7,1667},{2,7,1667},{2,5,1611},{1,7,1331},{1,6,115},{1,6,115},
{1,4,198},{0,5,1979},{0,4,248},{3,6,10},{3,6,10},{3,6,10},{3,5,73},{5,1,1160},{1,6,34},{1,6,34},{0,4,52},{7,1,1160},{0,4,52},{5,5,1570},{3,7,180},{4,5,320},{2,5,281},{5,5,1570},{3,6,1570},{2,5,281},{0,5,1856},{3,6,1570},{0,5,1856},{2,0,1586},{2,0,1586},{2,0,1586},{2,0,1586},{1,6,106},{1,6,106},{1,6,106},{1,4,162},{0,4,212},
{0,4,212},{3,7,5354},{3,7,2770},{3,6,2717},{2,6,1986},{2,7,6956},{1,7,2244},{1,6,457},{1,5,2351},{0,7,7268},{0,5,1974},{4,7,2384},{3,7,270},{3,6,217},{3,6,517},{6,2,5419},{1,7,1920},{1,6,133},{0,5,1650},{5,4,5419},{0,5,1650},{2,7,2180},{2,7,2180},{2,7,2180},{2,6,1905},{2,7,1480},{1,6,376},{1,6,376},{1,4,333},{0,5,1988},{0,4,203},{3,7,45},
{3,7,45},{3,7,45},{3,5,37},{6,0,1154},{1,6,52},{1,6,52},{1,4,9},{3,4,1154},{1,4,9},{6,4,1568},{3,7,234},{3,6,181},{1,6,117},{6,4,1568},{7,4,1568},{1,6,117},{0,5,1586},{7,4,1568},{0,5,1586},{2,0,1856},{2,0,1856},{2,0,1856},{2,0,1856},{2,5,272},{2,5,272},{2,5,272},{1,4,324},{0,4,194},{0,4,194},{3,7,5706},{3,7,2514},{3,6,2285},
{3,6,2105},{3,7,7359},{2,7,2244},{2,6,147},{2,5,2358},{0,7,6820},{0,5,1718},{4,7,2256},{3,7,750},{4,6,410},{3,6,341},{7,1,5419},{2,7,2180},{2,6,83},{0,5,1618},{4,5,5419},{0,5,1618},{3,7,1985},{3,7,1985},{3,7,1985},{3,5,2041},{2,7,1224},{2,6,146},{2,6,146},{2,4,210},{0,6,1644},{1,4,509},{3,7,221},{3,7,221},{3,7,221},{3,5,277},{5,2,1160},
{1,7,64},{1,7,64},{2,4,146},{7,2,1160},{2,4,146},{7,3,1570},{4,7,356},{4,6,10},{2,6,2},{7,3,1570},{6,5,1570},{2,6,2},{0,5,1618},{6,5,1570},{0,5,1618},{3,0,1960},{3,0,1960},{3,0,1960},{3,0,1960},{2,5,80},{2,5,80},{2,5,80},{2,4,89},{0,5,100},{0,5,100},{3,7,6570},{3,7,2770},{3,6,2365},{3,6,1705},{3,7,7311},{2,7,2276},{2,6,131},
{2,5,2230},{0,7,6884},{0,5,1974},{4,7,2512},{4,7,532},{4,6,218},{4,6,482},{5,5,5424},{2,7,2276},{2,6,131},{1,5,1931},{3,6,5424},{1,5,1931},{3,7,1809},{3,7,1809},{3,7,1809},{3,6,1656},{2,7,1352},{2,6,82},{2,6,82},{2,4,370},{0,6,1548},{0,5,293},{4,6,169},{4,6,169},{4,6,169},{4,5,169},{6,1,1160},{1,7,64},{1,7,64},{1,5,250},{6,3,1160},
{1,5,250},{5,7,1570},{4,7,388},{4,6,74},{3,6,65},{5,7,1570},{5,6,1570},{3,6,65},{0,5,1906},{5,6,1570},{0,5,1906},{3,0,1640},{3,0,1640},{3,0,1640},{3,0,1640},{2,6,1},{2,6,1},{2,6,1},{2,4,9},{0,5,68},{0,5,68},{4,7,6752},{3,7,3538},{3,7,2378},{3,6,1817},{3,7,7775},{2,7,2820},{2,7,477},{2,5,2614},{1,7,7360},{0,6,1978},{5,7,3110},
{4,7,692},{4,7,377},{4,6,322},{6,4,5424},{3,7,2539},{2,7,413},{0,6,1942},{7,4,5424},{0,6,1942},{3,7,2017},{3,7,2017},{3,7,2017},{3,6,1592},{3,7,1846},{2,7,116},{2,7,116},{2,5,213},{0,7,1531},{1,5,283},{4,7,16},{4,7,16},{4,7,16},{4,6,97},{7,0,1154},{2,7,52},{2,7,52},{1,5,58},{3,5,1154},{1,5,58},{7,4,1576},{5,7,610},{5,6,306},
{3,6,241},{7,4,1576},{7,5,1576},{3,6,241},{0,6,1906},{7,5,1576},{0,6,1906},{3,0,1576},{3,0,1576},{3,0,1576},{3,0,1576},{2,7,100},{2,7,100},{2,7,100},{2,5,164},{0,6,72},{0,6,72},{4,7,6932},{4,7,3932},{4,7,2807},{3,7,1974},{4,7,8428},{3,7,2981},{2,7,423},{2,6,2373},{1,7,7540},{0,6,1618},{5,7,2921},{4,7,1331},{4,7,206},{4,7,566},{7,3,5424},
{3,7,2692},{2,7,134},{0,6,1609},{6,5,5424},{0,6,1609},{4,7,2707},{4,7,2707},{4,7,2707},{3,7,1874},{3,7,1513},{2,7,323},{2,7,323},{2,5,294},{0,7,1324},{1,5,184},{4,7,106},{4,7,106},{4,7,106},{4,6,25},{7,1,1160},{2,7,34},{2,7,34},{2,5,5},{7,3,1160},{2,5,5},{7,5,1570},{5,7,628},{4,7,181},{2,7,125},{7,5,1570},{6,6,1586},{2,7,125},
{0,6,1600},{6,6,1586},{0,6,1600},{3,0,1810},{3,0,1810},{3,0,1810},{3,0,1810},{2,7,298},{2,7,298},{2,7,298},{2,5,290},{0,6,18},{0,6,18},{4,7,7636},{4,7,4156},{4,7,2311},{4,7,2191},{4,7,8428},{3,7,3317},{3,7,185},{3,6,2410},{2,7,8180},{1,6,1722},{5,7,3161},{5,7,1357},{5,7,461},{4,7,342},{5,7,5424},{4,7,2979},{3,7,104},{1,6,1601},{5,6,5424},
{1,6,1601},{4,7,2307},{4,7,2307},{4,7,2307},{4,6,2082},{3,7,1625},{3,7,181},{3,7,181},{3,5,217},{0,7,1548},{1,5,504},{5,7,457},{5,7,457},{5,7,457},{4,6,233},{6,3,1154},{3,7,100},{3,7,100},{3,5,136},{6,4,1154},{3,5,136},{6,7,1576},{5,7,916},{5,7,20},{3,7,4},{6,7,1576},{7,6,1576},{3,7,4},{0,6,1600},{7,6,1576},{0,6,1600},{4,0,2018},
{4,0,2018},{4,0,2018},{4,0,2018},{3,6,90},{3,6,90},{3,6,90},{3,5,117},{0,7,104},{0,7,104},{5,7,7862},{4,7,4316},{4,7,2291},{4,7,1691},{4,7,8004},{3,7,3433},{3,7,69},{3,6,1774},{2,7,7580},{1,6,1470},{5,7,3101},{5,7,1209},{5,7,185},{4,7,466},{7,4,4803},{4,7,2579},{3,7,68},{2,6,1448},{7,5,4803},{2,6,1448},{4,7,2291},{4,7,2291},{4,7,2291},
{4,7,1691},{3,7,2121},{3,7,69},{3,7,69},{3,5,329},{1,7,1539},{1,6,314},{5,7,185},{5,7,185},{5,7,185},{5,6,185},{7,2,1154},{3,7,68},{3,7,68},{2,6,292},{5,5,1154},{2,6,292},{7,6,1252},{6,7,724},{5,7,16},{4,7,25},{7,6,1252},{7,6,1268},{4,7,25},{0,6,1412},{7,6,1268},{0,6,1412},{4,0,1666},{4,0,1666},{4,0,1666},{4,0,1666},{3,7,5},
{3,7,5},{3,7,5},{3,5,5},{0,7,40},{0,7,40},{5,7,6806},{4,7,4684},{4,7,2659},{4,7,1579},{4,7,7668},{4,7,2988},{3,7,341},{3,6,1390},{2,7,7084},{1,6,1470},{6,7,2645},{5,7,1193},{5,7,169},{5,7,125},{6,6,4059},{4,7,2259},{4,7,234},{2,6,1224},{4,7,4059},{2,6,1224},{4,7,2659},{4,7,2659},{4,7,2659},{4,7,1579},{4,7,2043},{3,7,341},{3,7,341},
{3,6,234},{1,7,1779},{1,6,314},{5,7,169},{5,7,169},{5,7,169},{5,7,125},{5,6,1152},{4,7,234},{4,7,234},{2,6,68},{4,6,1152},{2,6,68},{7,6,900},{6,7,500},{6,7,100},{4,7,9},{7,6,900},{6,7,884},{4,7,9},{0,6,1220},{6,7,884},{0,6,1220},{4,0,1570},{4,0,1570},{4,0,1570},{4,0,1570},{3,7,85},{3,7,85},{3,7,85},{3,5,149},{1,7,98},
{1,7,98},{5,7,6077},{5,7,4185},{5,7,3161},{4,7,1912},{5,7,6790},{4,7,2529},{4,7,504},{3,6,1417},{3,7,6199},{1,7,1097},{6,7,1925},{6,7,1301},{5,7,457},{5,7,17},{7,5,3321},{5,7,1754},{4,7,180},{1,7,1093},{6,6,3345},{1,7,1093},{5,7,3161},{5,7,3161},{5,7,3161},{4,7,1912},{4,7,2124},{4,7,504},{4,7,504},{3,6,261},{2,7,1944},{2,6,171},{5,7,457},
{5,7,457},{5,7,457},{5,7,17},{6,5,1154},{4,7,180},{4,7,180},{3,6,5},{3,7,1154},{3,6,5},{7,7,605},{6,7,401},{6,7,1},{5,7,1},{7,7,605},{6,7,569},{5,7,1},{0,7,1089},{6,7,569},{0,7,1089},{4,0,1768},{4,0,1768},{4,0,1768},{4,0,1768},{4,7,360},{4,7,360},{4,7,360},{3,6,260},{1,7,8},{1,7,8},{5,7,5837},{5,7,3945},{5,7,2921},
{5,7,2129},{5,7,6054},{4,7,2529},{4,7,504},{4,6,1386},{3,7,5767},{2,7,773},{6,7,1557},{6,7,933},{6,7,533},{5,7,193},{6,7,2754},{5,7,1434},{4,7,404},{2,7,629},{5,7,2754},{2,7,629},{5,7,2921},{5,7,2921},{5,7,2921},{5,7,2129},{4,7,2604},{4,7,504},{4,7,504},{4,6,230},{2,7,2264},{2,6,443},{6,7,533},{6,7,533},{6,7,533},{5,7,193},{7,4,1152},
{4,7,404},{4,7,404},{3,6,117},{7,5,1152},{3,6,117},{7,7,317},{7,7,245},{6,7,49},{6,7,25},{7,7,317},{7,7,373},{6,7,25},{0,7,625},{7,7,373},{0,7,625},{5,0,2080},{5,0,2080},{5,0,2080},{5,0,2080},{4,7,104},{4,7,104},{4,7,104},{4,6,149},{2,7,148},{2,7,148},{5,7,5981},{5,7,4089},{5,7,3065},{5,7,1921},{5,7,5702},{5,7,2666},{4,7,888},
{4,7,693},{4,7,5325},{2,7,341},{6,7,1445},{6,7,821},{6,7,421},{6,7,205},{7,6,2306},{5,7,1370},{5,7,346},{2,7,325},{7,6,2274},{2,7,325},{5,7,3065},{5,7,3065},{5,7,3065},{5,7,1921},{5,7,2786},{4,7,888},{4,7,888},{4,6,294},{3,7,2355},{2,7,341},{6,7,421},{6,7,421},{6,7,421},{6,7,205},{7,5,1184},{5,7,346},{5,7,346},{4,6,290},{6,6,1152},
{4,6,290},{7,7,157},{7,7,85},{7,7,36},{6,7,9},{7,7,157},{7,7,149},{6,7,9},{0,7,289},{7,7,149},{0,7,289},{5,0,1696},{5,0,1696},{5,0,1696},{5,0,1696},{4,7,104},{4,7,104},{4,7,104},{4,6,5},{2,7,52},{2,7,52},{6,7,5433},{5,7,4617},{5,7,3593},{5,7,2097},{5,7,5734},{5,7,2346},{5,7,1322},{4,7,261},{4,7,4909},{2,7,293},{6,7,1589},
{6,7,965},{6,7,565},{6,7,157},{7,6,1890},{6,7,1146},{5,7,538},{3,7,82},{6,7,1890},{3,7,82},{5,7,3593},{5,7,3593},{5,7,3593},{5,7,2097},{5,7,2818},{5,7,1322},{5,7,1322},{4,7,261},{3,7,2691},{2,7,293},{6,7,565},{6,7,565},{6,7,565},{6,7,157},{6,7,1154},{5,7,538},{5,7,538},{3,7,82},{5,7,1154},{3,7,82},{7,7,125},{7,7,53},{7,7,4},
{7,7,4},{7,7,125},{7,7,53},{7,7,4},{0,7,81},{7,7,53},{0,7,81},{5,0,1568},{5,0,1568},{5,0,1568},{5,0,1568},{4,7,360},{4,7,360},{4,7,360},{4,6,117},{2,7,212},{2,7,212},{6,7,4866},{6,7,4242},{6,7,3842},{5,7,2754},{6,7,5113},{5,7,2445},{5,7,1421},{4,7,234},{5,7,4804},{3,7,164},{7,7,1203},{7,7,1131},{6,7,1033},{6,7,409},{7,7,1611},
{6,7,1056},{6,7,656},{4,7,9},{6,7,1584},{4,7,9},{6,7,3842},{6,7,3842},{6,7,3842},{5,7,2754},{5,7,3313},{5,7,1421},{5,7,1421},{4,7,234},{4,7,2875},{3,7,164},{6,7,1033},{6,7,1033},{6,7,1033},{6,7,409},{7,6,1152},{6,7,656},{6,7,656},{4,7,9},{7,6,1184},{4,7,9},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},
{0,7,0},{7,7,98},{0,7,0},{5,0,1730},{5,0,1730},{5,0,1730},{5,0,1730},{5,7,397},{5,7,397},{5,7,397},{4,7,234},{3,7,164},{3,7,164},{6,7,4194},{6,7,3570},{6,7,3170},{6,7,2546},{6,7,4137},{5,7,2365},{5,7,1341},{5,7,185},{5,7,3876},{3,7,324},{7,7,771},{7,7,699},{7,7,650},{6,7,521},{7,7,1083},{6,7,864},{6,7,464},{4,7,25},{7,7,1187},
{4,7,25},{6,7,3170},{6,7,3170},{6,7,3170},{6,7,2546},{6,7,3113},{5,7,1341},{5,7,1341},{5,7,185},{4,7,2491},{3,7,324},{7,7,650},{7,7,650},{7,7,650},{6,7,521},{7,6,832},{6,7,464},{6,7,464},{4,7,25},{6,7,800},{4,7,25},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{5,0,2146},
{5,0,2146},{5,0,2146},{5,0,2146},{5,7,317},{5,7,317},{5,7,317},{5,7,185},{3,7,324},{3,7,324},{6,7,3778},{6,7,3154},{6,7,2754},{6,7,2130},{6,7,3417},{6,7,2169},{5,7,1517},{5,7,9},{5,7,3204},{4,7,338},{7,7,467},{7,7,395},{7,7,346},{7,7,274},{7,7,683},{7,7,539},{6,7,400},{5,7,0},{7,7,723},{5,7,0},{6,7,2754},{6,7,2754},{6,7,2754},
{6,7,2130},{6,7,2393},{5,7,1517},{5,7,1517},{5,7,9},{5,7,2180},{4,7,338},{7,7,346},{7,7,346},{7,7,346},{7,7,274},{7,7,562},{6,7,400},{6,7,400},{5,7,0},{6,7,544},{5,7,0},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,1730},{6,0,1730},{6,0,1730},{6,0,1730},{5,7,493},
{5,7,493},{5,7,493},{5,7,9},{4,7,338},{4,7,338},{6,7,3618},{6,7,2994},{6,7,2594},{6,7,1970},{6,7,2953},{6,7,1705},{6,7,1305},{5,7,89},{5,7,2788},{4,7,466},{7,7,291},{7,7,219},{7,7,170},{7,7,98},{7,7,411},{7,7,267},{7,7,218},{6,7,16},{7,7,387},{6,7,16},{6,7,2594},{6,7,2594},{6,7,2594},{6,7,1970},{6,7,1929},{6,7,1305},{6,7,1305},
{5,7,89},{5,7,1764},{4,7,466},{7,7,170},{7,7,170},{7,7,170},{7,7,98},{7,7,290},{7,7,218},{7,7,218},{6,7,16},{7,7,338},{6,7,16},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{6,0,1570},{6,0,1570},{6,0,1570},{6,0,1570},{6,7,905},{6,7,905},{6,7,905},{5,7,89},{4,7,466},
{4,7,466},{0,5,2665},{0,4,697},{0,3,290},{0,2,841},{0,3,5901},{0,2,4170},{0,2,1802},{0,1,4310},{0,1,6951},{0,1,4671},{0,5,2665},{0,4,697},{0,3,290},{0,2,841},{2,0,5893},{0,2,4170},{0,2,1802},{0,1,4310},{3,0,5893},{0,1,4310},{0,2,4},{0,2,4},{0,2,4},{0,1,4},{0,1,557},{0,1,365},{0,1,365},{0,0,356},{0,0,665},{0,0,392},{0,2,4},
{0,2,4},{0,2,4},{0,1,4},{0,1,557},{0,1,365},{0,1,365},{0,0,356},{0,0,629},{0,0,356},{3,0,2665},{0,4,697},{0,3,290},{0,2,841},{3,0,2665},{3,1,2665},{0,2,841},{0,2,3145},{3,1,2665},{0,2,3145},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,6,2705},{0,4,617},{0,3,34},
{0,2,985},{0,4,6754},{0,3,4625},{0,2,1946},{0,1,5030},{0,2,7635},{0,1,5391},{0,6,2705},{0,4,617},{0,3,34},{0,2,985},{1,2,6674},{0,3,4625},{0,2,1946},{0,1,5030},{0,2,6674},{0,1,5030},{0,3,9},{0,3,9},{0,3,9},{0,1,100},{0,1,845},{0,1,461},{0,1,461},{0,0,676},{0,0,1097},{0,0,712},{0,3,9},{0,3,9},{0,3,9},{0,1,100},{0,1,845},
{0,1,461},{0,1,461},{0,0,676},{1,0,853},{0,0,676},{1,4,2665},{0,4,617},{0,3,34},{0,2,985},{1,4,2665},{2,2,2665},{0,2,985},{0,2,2777},{2,2,2665},{0,2,2777},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,6,2689},{0,5,477},{0,3,34},{0,3,634},{0,4,7538},{0,3,4865},{0,2,2346},
{0,2,5474},{0,2,8547},{0,1,6367},{0,6,2689},{0,5,477},{0,3,34},{0,3,634},{0,4,7538},{0,3,4865},{0,2,2346},{0,2,5474},{2,1,7538},{0,2,5474},{0,3,25},{0,3,25},{0,3,25},{0,2,16},{0,1,1261},{0,1,685},{0,1,685},{0,1,965},{0,1,1646},{0,0,1160},{0,3,25},{0,3,25},{0,3,25},{0,2,16},{1,0,1213},{0,1,685},{0,1,685},{0,1,965},{1,0,1205},
{0,1,965},{2,3,2669},{0,5,477},{0,3,34},{0,3,634},{2,3,2669},{6,0,2669},{0,3,634},{0,2,2665},{6,0,2669},{0,2,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,7,2669},{0,5,365},{0,3,290},{0,3,410},{0,4,8578},{0,3,5361},{0,3,2346},{0,2,5618},{0,2,9715},{0,2,6579},{0,7,2669},
{0,5,365},{0,3,290},{0,3,410},{2,1,8498},{0,3,5361},{0,3,2346},{0,2,5618},{4,0,8498},{0,2,5618},{0,4,0},{0,4,0},{0,4,0},{0,2,16},{0,2,1637},{0,2,977},{0,2,977},{0,1,997},{0,1,1998},{0,1,1358},{0,4,0},{0,4,0},{0,4,0},{0,2,16},{1,0,1629},{0,2,977},{0,2,977},{0,1,997},{0,1,1637},{0,1,997},{3,2,2669},{0,5,365},{1,3,185},
{0,3,410},{3,2,2669},{5,1,2669},{0,3,410},{0,2,2809},{5,1,2669},{0,2,2809},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,7,2777},{0,6,257},{0,4,277},{0,3,464},{0,5,9677},{0,4,6026},{0,3,2400},{0,2,6086},{0,2,11335},{0,2,7047},{0,7,2777},{0,6,257},{0,4,277},{0,3,464},{3,0,9677},
{0,4,6026},{0,3,2400},{0,2,6086},{3,1,9677},{0,2,6086},{0,5,16},{0,5,16},{0,5,16},{0,3,64},{0,2,2186},{0,2,1130},{0,2,1130},{0,1,1186},{0,1,2547},{0,1,1547},{0,5,16},{0,5,16},{0,5,16},{0,3,64},{0,2,2186},{0,2,1130},{0,2,1130},{0,1,1186},{0,1,2186},{0,1,1186},{4,1,2669},{0,6,257},{0,4,277},{0,3,464},{4,1,2669},{4,2,2669},{0,3,464},
{0,3,3209},{4,2,2669},{0,3,3209},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{0,7,3209},{0,6,209},{0,4,389},{0,4,541},{0,6,9765},{0,4,5546},{0,3,2080},{0,2,5990},{0,3,11621},{0,2,6951},{0,7,3209},{0,6,209},{0,4,389},{0,4,541},{1,4,9677},{0,4,5546},{0,3,2080},{0,2,5990},{2,2,9677},
{0,2,5990},{0,5,80},{0,5,80},{0,5,80},{0,3,64},{0,3,2196},{0,2,970},{0,2,970},{0,1,1058},{0,1,2739},{0,1,1419},{0,5,80},{0,5,80},{0,5,80},{0,3,64},{1,1,2180},{0,2,970},{0,2,970},{0,1,1058},{1,1,2196},{0,1,1058},{5,0,2669},{0,6,145},{1,4,52},{0,4,477},{5,0,2669},{3,3,2669},{0,4,477},{0,3,2809},{3,3,2669},{0,3,2809},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,40},{0,0,40},{0,7,4025},{0,7,441},{0,4,885},{0,4,429},{0,6,9685},{0,4,5450},{0,4,1854},{0,3,6029},{0,3,11925},{0,2,7239},{1,7,3001},{0,7,441},{1,4,344},{0,4,429},{3,1,9685},{0,4,5450},{0,4,1854},{0,3,6029},{4,1,9685},{0,3,6029},{0,6,256},{0,6,256},{0,6,256},
{0,3,320},{0,3,2228},{0,3,848},{0,3,848},{0,1,1186},{0,2,3171},{0,1,1547},{0,6,256},{0,6,256},{0,6,256},{0,3,320},{2,0,2180},{0,3,848},{0,3,848},{0,1,1186},{3,0,2180},{0,1,1186},{4,2,2677},{0,7,185},{1,4,20},{0,4,173},{4,2,2677},{7,1,2677},{0,4,173},{0,3,2665},{7,1,2677},{0,3,2665},{0,0,256},{0,0,256},{0,0,256},{0,0,256},{0,1,9},
{0,1,9},{0,1,9},{0,0,36},{0,0,72},{0,0,72},{1,7,4141},{0,7,617},{1,4,1500},{0,4,701},{0,7,9690},{0,5,5001},{0,4,1214},{0,3,5277},{0,3,12613},{0,3,7213},{1,7,2985},{1,6,465},{1,4,344},{1,4,524},{4,0,9674},{0,5,5001},{0,4,1214},{0,3,5277},{3,2,9674},{0,3,5277},{0,7,601},{0,7,601},{0,7,601},{0,4,601},{0,4,2178},{0,3,656},{0,3,656},
{0,2,866},{0,2,3171},{0,2,1827},{1,5,101},{1,5,101},{1,5,101},{1,3,109},{0,4,2178},{0,3,656},{0,3,656},{0,2,866},{2,1,2178},{0,2,866},{5,1,2669},{0,7,41},{2,4,181},{0,4,125},{5,1,2669},{4,3,2669},{0,4,125},{0,3,2777},{4,3,2669},{0,3,2777},{0,0,576},{0,0,576},{0,0,576},{0,0,576},{0,1,25},{0,1,25},{0,1,25},{0,1,49},{0,0,232},
{0,0,232},{1,7,4582},{0,7,1274},{1,5,1446},{0,4,1466},{0,7,9789},{0,5,4794},{0,4,953},{0,3,4890},{0,4,13038},{0,3,6826},{1,7,3426},{1,7,290},{1,5,290},{1,4,443},{2,4,9685},{0,5,4794},{0,4,953},{0,3,4890},{7,0,9685},{0,3,4890},{0,7,1105},{0,7,1105},{0,7,1105},{0,4,1105},{0,5,2210},{0,4,592},{0,4,592},{0,2,596},{0,2,3477},{0,2,1557},{1,6,26},
{1,6,26},{1,6,26},{1,4,82},{1,3,2180},{0,4,592},{0,4,592},{0,2,596},{1,2,2180},{0,2,596},{6,0,2677},{0,7,185},{1,5,289},{0,4,377},{6,0,2677},{5,3,2677},{0,4,377},{0,3,3209},{5,3,2677},{0,3,3209},{0,0,1089},{0,0,1089},{0,0,1089},{0,0,1089},{0,2,4},{0,2,4},{0,2,4},{0,1,4},{0,1,365},{0,1,365},{1,7,5382},{1,7,1350},{1,5,1510},
{1,5,1738},{0,7,10285},{0,6,4406},{0,5,971},{0,3,4954},{0,4,13534},{0,3,6890},{2,7,3454},{1,7,194},{1,5,354},{1,5,582},{3,3,9674},{0,6,4406},{0,5,971},{0,3,4954},{6,1,9674},{0,3,4954},{1,6,1214},{1,6,1214},{1,6,1214},{1,4,1206},{0,5,2210},{0,4,400},{0,4,400},{0,2,628},{0,2,4021},{0,2,1589},{1,6,58},{1,6,58},{1,6,58},{1,4,50},{2,2,2178},
{0,4,400},{0,4,400},{0,2,628},{5,0,2178},{0,2,628},{4,4,2669},{1,7,145},{2,5,74},{0,5,130},{4,4,2669},{7,2,2669},{0,5,130},{0,4,2845},{7,2,2669},{0,4,2845},{1,0,1205},{1,0,1205},{1,0,1205},{1,0,1205},{0,3,9},{0,3,9},{0,3,9},{0,1,100},{0,1,461},{0,1,461},{1,7,6566},{1,7,1638},{1,5,1958},{1,5,1578},{1,7,10830},{0,6,4118},{0,5,443},
{0,4,4785},{0,4,14414},{0,3,7338},{2,7,3390},{1,7,482},{2,5,371},{1,5,422},{4,2,9674},{0,6,4118},{0,5,443},{0,4,4785},{5,2,9674},{0,4,4785},{1,7,1382},{1,7,1382},{1,7,1382},{1,4,1430},{0,6,2178},{0,5,442},{0,5,442},{0,3,641},{0,3,4242},{0,2,1877},{1,7,226},{1,7,226},{1,7,226},{1,4,274},{3,1,2178},{0,5,442},{0,5,442},{0,3,641},{4,1,2178},
{0,3,641},{5,3,2669},{1,7,257},{2,5,10},{0,5,2},{5,3,2669},{6,3,2669},{0,5,2},{0,4,2669},{6,3,2669},{0,4,2669},{1,0,1381},{1,0,1381},{1,0,1381},{1,0,1381},{0,3,25},{0,3,25},{0,3,25},{0,2,16},{0,1,685},{0,1,685},{1,7,8134},{1,7,2310},{1,6,2671},{1,5,1802},{1,7,11086},{0,7,4109},{0,5,299},{0,4,4193},{0,5,14830},{0,4,7442},{2,7,3710},
{2,7,490},{2,5,323},{2,5,563},{5,1,9669},{0,7,4109},{0,5,299},{0,4,4193},{4,3,9669},{0,4,4193},{1,7,1734},{1,7,1734},{1,7,1734},{1,5,1721},{0,7,2228},{0,5,218},{0,5,218},{0,3,305},{0,3,4626},{0,3,2241},{2,6,125},{2,6,125},{2,6,125},{2,4,125},{4,0,2180},{0,5,218},{0,5,218},{0,3,305},{3,2,2180},{0,3,305},{6,2,2665},{2,7,369},{3,5,181},
{1,5,117},{6,2,2665},{5,4,2665},{1,5,117},{0,4,2749},{5,4,2665},{0,4,2749},{1,0,1685},{1,0,1685},{1,0,1685},{1,0,1685},{0,4,0},{0,4,0},{0,4,0},{0,2,16},{0,2,977},{0,2,977},{2,7,9153},{1,7,3525},{1,6,3220},{1,5,2513},{1,7,11833},{0,7,3686},{0,6,548},{0,4,3986},{0,5,15577},{0,4,7235},{3,7,4141},{2,7,481},{2,6,309},{2,5,428},{6,0,9674},
{0,7,3686},{0,6,548},{0,4,3986},{3,4,9674},{0,4,3986},{1,7,2436},{1,7,2436},{1,7,2436},{1,5,2189},{0,7,2210},{0,5,272},{0,5,272},{0,3,233},{0,3,5364},{0,3,2169},{2,7,40},{2,7,40},{2,7,40},{2,5,104},{2,4,2178},{0,5,272},{0,5,272},{0,3,233},{7,0,2178},{0,3,233},{7,1,2669},{2,7,477},{2,6,305},{0,6,292},{7,1,2669},{4,5,2669},{0,6,292},
{0,4,3145},{4,5,2669},{0,4,3145},{1,0,2180},{1,0,2180},{1,0,2180},{1,0,2180},{0,5,16},{0,5,16},{0,5,16},{0,3,64},{0,2,1130},{0,2,1130},{2,7,10154},{1,7,4946},{1,6,4049},{1,6,2853},{1,7,12838},{0,7,3719},{0,6,133},{0,4,4211},{0,6,16286},{0,4,7346},{3,7,4061},{2,7,881},{2,6,325},{2,6,629},{4,4,9669},{0,7,3718},{0,6,132},{0,4,4210},{7,2,9669},
{0,4,4210},{1,7,3265},{1,7,3265},{1,7,3265},{1,6,2789},{0,7,2467},{0,6,69},{0,6,69},{0,3,442},{0,4,5602},{0,3,2290},{2,7,40},{2,7,40},{2,7,40},{2,5,40},{3,3,2180},{0,6,68},{0,6,68},{0,3,441},{6,1,2180},{0,3,441},{5,5,2665},{3,7,617},{3,6,100},{0,6,68},{5,5,2665},{3,6,2665},{0,6,68},{0,5,2885},{3,6,2665},{0,5,2885},{1,0,2689},
{1,0,2689},{1,0,2689},{1,0,2689},{0,5,17},{0,5,17},{0,5,17},{0,3,1},{0,2,1341},{0,2,1341},{2,7,10666},{2,7,5146},{2,6,4206},{1,6,2933},{2,7,13606},{0,7,4215},{0,6,181},{0,5,3914},{0,6,15454},{0,4,7122},{3,7,4365},{3,7,1097},{3,6,404},{2,6,421},{5,3,9669},{1,7,4133},{0,6,100},{0,5,3833},{6,3,9669},{0,5,3833},{2,7,3777},{2,7,3777},{2,7,3777},
{1,6,2933},{1,7,2805},{0,6,181},{0,6,181},{0,4,275},{0,4,5282},{0,3,2130},{2,7,296},{2,7,296},{2,7,296},{2,5,232},{4,2,2180},{0,6,100},{0,6,100},{0,4,194},{5,2,2180},{0,4,194},{6,4,2665},{3,7,697},{3,6,4},{1,6,4},{6,4,2665},{7,4,2665},{1,6,4},{0,5,2677},{7,4,2665},{0,5,2677},{1,0,2929},{1,0,2929},{1,0,2929},{1,0,2929},{0,6,81},
{0,6,81},{0,6,81},{0,3,145},{0,3,1289},{0,3,1289},{2,7,11690},{2,7,5434},{2,7,4085},{2,6,3198},{2,7,13510},{1,7,4470},{1,6,585},{0,5,3690},{0,6,15134},{0,5,6210},{3,7,5053},{3,7,1177},{3,6,308},{2,6,597},{6,2,9670},{1,7,4181},{1,6,296},{0,5,3401},{5,4,9670},{0,5,3401},{2,7,3409},{2,7,3409},{2,7,3409},{2,6,3134},{1,7,2565},{0,7,323},{0,7,323},
{0,4,323},{0,5,5085},{0,4,1634},{3,7,153},{3,7,153},{3,7,153},{3,5,145},{5,1,2186},{0,7,34},{0,7,34},{0,4,34},{7,1,2186},{0,4,34},{7,3,2665},{4,7,937},{3,6,164},{1,6,100},{7,3,2665},{6,5,2665},{1,6,100},{0,5,2725},{6,5,2665},{0,5,2725},{2,0,3085},{2,0,3085},{2,0,3085},{2,0,3085},{1,5,290},{1,5,290},{1,5,290},{1,3,298},{0,3,985},
{0,3,985},{3,7,12062},{2,7,6370},{2,7,3743},{2,6,3018},{2,7,14014},{1,7,4758},{1,6,603},{1,5,4049},{0,7,14638},{0,5,5310},{4,7,4958},{3,7,1726},{3,7,334},{3,6,419},{7,1,9669},{1,7,4694},{0,7,341},{0,5,3374},{4,5,9669},{0,5,3374},{2,7,3454},{2,7,3454},{2,7,3454},{2,6,2729},{1,7,2754},{1,6,314},{1,6,314},{1,4,289},{0,5,4626},{0,4,1121},{3,7,45},
{3,7,45},{3,7,45},{3,5,109},{6,0,2180},{0,7,52},{0,7,52},{0,4,160},{3,4,2180},{0,4,160},{5,7,2665},{4,7,1009},{4,6,293},{2,6,293},{5,7,2665},{5,6,2665},{2,6,293},{0,5,3085},{5,6,2665},{0,5,3085},{2,0,2725},{2,0,2725},{2,0,2725},{2,0,2725},{1,6,89},{1,6,89},{1,6,89},{1,4,145},{0,3,949},{0,3,949},{3,7,12414},{3,7,7246},{2,7,3983},
{2,7,2879},{2,7,15006},{1,7,5558},{1,7,163},{1,5,4161},{0,7,14190},{0,5,5054},{4,7,5246},{4,7,2186},{3,7,302},{3,6,659},{5,5,9670},{2,7,4926},{1,7,163},{0,5,3758},{3,6,9670},{0,5,3758},{2,7,3902},{2,7,3902},{2,7,3902},{2,6,2777},{1,7,3330},{1,7,82},{1,7,82},{1,4,401},{0,6,4490},{0,4,1073},{3,7,221},{3,7,221},{3,7,221},{3,6,34},{5,2,2186},
{1,7,82},{1,7,82},{0,5,277},{7,2,2186},{0,5,277},{6,6,2665},{5,7,1313},{4,7,130},{1,7,82},{6,6,2665},{4,7,2665},{1,7,82},{0,6,2929},{4,7,2665},{0,6,2929},{2,0,2677},{2,0,2677},{2,0,2677},{2,0,2677},{1,6,9},{1,6,9},{1,6,9},{1,4,1},{0,4,673},{0,4,673},{3,7,13278},{3,7,7502},{3,7,4254},{2,7,2895},{3,7,15045},{2,7,6114},{1,7,147},
{1,6,3978},{0,7,14254},{0,6,4818},{4,7,5918},{4,7,2378},{4,7,443},{3,7,426},{6,4,9670},{2,7,5438},{1,7,83},{0,6,3218},{7,4,9670},{0,6,3218},{3,7,4253},{3,7,4253},{3,7,4253},{2,7,2894},{2,7,3054},{1,7,146},{1,7,146},{1,5,296},{0,6,3978},{0,5,821},{4,7,442},{4,7,442},{4,7,442},{3,6,194},{6,1,2186},{1,7,82},{1,7,82},{0,5,37},{6,3,2186},
{0,5,37},{7,5,2665},{5,7,1361},{4,7,2},{2,7,10},{7,5,2665},{6,6,2689},{2,7,10},{0,6,2689},{6,6,2689},{0,6,2689},{2,0,2885},{2,0,2885},{2,0,2885},{2,0,2885},{1,7,65},{1,7,65},{1,7,65},{1,4,113},{0,4,625},{0,4,625},{3,7,13261},{3,7,7409},{3,7,4045},{3,7,3209},{3,7,14116},{2,7,5615},{2,7,574},{1,6,3165},{0,7,13437},{0,6,3429},{5,7,5269},
{4,7,2275},{4,7,250},{3,7,505},{5,6,8712},{3,7,4724},{2,7,250},{0,6,2405},{4,6,8712},{0,6,2405},{3,7,4045},{3,7,4045},{3,7,4045},{3,7,3209},{2,7,3150},{2,7,574},{2,7,574},{1,5,296},{0,6,3850},{0,5,453},{4,7,250},{4,7,250},{4,7,250},{4,6,169},{7,0,2180},{2,7,250},{2,7,250},{1,5,40},{3,5,2180},{1,5,40},{6,7,2180},{5,7,1168},{4,7,81},
{2,7,25},{6,7,2180},{5,7,2180},{2,7,25},{0,6,2180},{5,7,2180},{0,6,2180},{3,0,3145},{3,0,3145},{3,0,3145},{3,0,3145},{1,7,305},{1,7,305},{1,7,305},{1,5,292},{0,5,449},{0,5,449},{4,7,11894},{3,7,7634},{3,7,4270},{3,7,2750},{3,7,13315},{2,7,5354},{2,7,313},{1,6,2634},{1,7,12414},{0,6,2250},{5,7,4369},{4,7,2365},{4,7,340},{4,7,160},{7,3,7590},
{3,7,4094},{2,7,232},{0,6,1721},{6,5,7590},{0,6,1721},{3,7,4270},{3,7,4270},{3,7,4270},{3,7,2750},{2,7,3717},{2,7,313},{2,7,313},{2,5,302},{0,7,3546},{0,5,498},{4,7,340},{4,7,340},{4,7,340},{4,6,97},{7,1,2186},{2,7,232},{2,7,232},{1,5,130},{7,3,2186},{1,5,130},{6,7,1649},{6,7,1025},{5,7,9},{3,7,1},{6,7,1649},{7,6,1625},{3,7,1},
{0,6,1685},{7,6,1625},{0,6,1685},{3,0,2749},{3,0,2749},{3,0,2749},{3,0,2749},{2,7,117},{2,7,117},{2,7,117},{2,5,181},{0,5,377},{0,5,377},{4,7,11078},{4,7,7478},{3,7,4878},{3,7,2750},{4,7,12662},{3,7,5031},{2,7,489},{2,6,1911},{1,7,11470},{0,6,1610},{5,7,3841},{5,7,1949},{4,7,692},{4,7,32},{5,7,6662},{4,7,3641},{3,7,442},{0,6,1385},{5,6,6662},
{0,6,1385},{3,7,4878},{3,7,4878},{3,7,4878},{3,7,2750},{3,7,3795},{2,7,489},{2,7,489},{2,5,366},{0,7,3354},{0,6,454},{4,7,692},{4,7,692},{4,7,692},{4,7,32},{6,3,2180},{3,7,442},{3,7,442},{0,6,229},{6,4,2180},{0,6,229},{7,6,1201},{6,7,689},{5,7,25},{4,7,16},{7,6,1201},{7,6,1225},{4,7,16},{0,6,1381},{7,6,1225},{0,6,1381},{3,0,2669},
{3,0,2669},{3,0,2669},{3,0,2669},{2,7,5},{2,7,5},{2,7,5},{2,5,5},{0,6,229},{0,6,229},{4,7,10646},{4,7,7046},{4,7,5021},{3,7,3134},{4,7,11526},{3,7,4503},{2,7,1049},{2,6,1479},{1,7,10910},{0,6,1354},{5,7,3569},{5,7,1677},{5,7,653},{4,7,160},{7,4,5829},{4,7,3065},{3,7,410},{1,6,1209},{7,5,5829},{1,6,1209},{4,7,5021},{4,7,5021},{4,7,5021},
{3,7,3134},{3,7,3875},{2,7,1049},{2,7,1049},{2,6,323},{0,7,3546},{0,6,198},{5,7,653},{5,7,653},{5,7,653},{4,7,160},{7,2,2180},{3,7,410},{3,7,410},{1,6,53},{5,5,2180},{1,6,53},{7,6,865},{6,7,481},{6,7,81},{4,7,16},{7,6,865},{6,7,841},{4,7,16},{0,6,1205},{6,7,841},{0,6,1205},{3,0,2845},{3,0,2845},{3,0,2845},{3,0,2845},{2,7,149},
{2,7,149},{2,7,149},{2,5,85},{0,6,149},{0,6,149},{4,7,10598},{4,7,6998},{4,7,4973},{4,7,3353},{4,7,10774},{3,7,4359},{3,7,995},{2,6,1431},{2,7,10294},{0,7,1242},{6,7,3329},{5,7,1661},{5,7,637},{5,7,197},{6,6,5085},{4,7,2745},{3,7,634},{0,7,1098},{4,7,5085},{0,7,1098},{4,7,4973},{4,7,4973},{4,7,4973},{4,7,3353},{3,7,4339},{3,7,995},{3,7,995},
{2,6,275},{1,7,3845},{0,6,326},{5,7,637},{5,7,637},{5,7,637},{5,7,197},{5,6,2178},{3,7,634},{3,7,634},{1,6,37},{4,6,2178},{1,6,37},{7,7,605},{6,7,401},{6,7,1},{5,7,1},{7,7,605},{6,7,569},{5,7,1},{0,7,1089},{6,7,569},{0,7,1089},{4,0,3209},{4,0,3209},{4,0,3209},{4,0,3209},{3,7,370},{3,7,370},{3,7,370},{2,6,274},{0,7,153},
{0,7,153},{5,7,9925},{4,7,7403},{4,7,5378},{4,7,3218},{4,7,10387},{4,7,4627},{3,7,1292},{3,6,1477},{2,7,9727},{0,7,621},{6,7,2609},{5,7,1949},{5,7,925},{5,7,89},{7,5,4347},{5,7,2384},{4,7,666},{0,7,612},{6,6,4371},{0,7,612},{4,7,5378},{4,7,5378},{4,7,5378},{4,7,3218},{4,7,4762},{3,7,1292},{3,7,1292},{3,6,321},{1,7,4106},{1,6,469},{5,7,925},
{5,7,925},{5,7,925},{5,7,89},{6,5,2180},{4,7,666},{4,7,666},{2,6,104},{3,7,2180},{2,6,104},{7,7,290},{7,7,218},{6,7,64},{6,7,16},{7,7,290},{7,7,338},{6,7,16},{0,7,576},{7,7,338},{0,7,576},{4,0,2777},{4,0,2777},{4,0,2777},{4,0,2777},{3,7,136},{3,7,136},{3,7,136},{3,5,200},{0,7,45},{0,7,45},{5,7,9269},{5,7,7377},{4,7,6146},
{4,7,3506},{5,7,10044},{4,7,4211},{3,7,1964},{3,7,836},{3,7,9185},{0,7,477},{6,7,2241},{6,7,1617},{6,7,1217},{5,7,265},{6,7,3780},{5,7,2064},{4,7,890},{1,7,257},{5,7,3780},{1,7,257},{4,7,6146},{4,7,6146},{4,7,6146},{4,7,3506},{4,7,4826},{3,7,1964},{3,7,1964},{3,6,337},{2,7,4590},{0,7,477},{6,7,1217},{6,7,1217},{6,7,1217},{5,7,265},{7,4,2178},
{4,7,890},{4,7,890},{1,7,257},{7,5,2178},{1,7,257},{7,7,146},{7,7,74},{7,7,25},{6,7,16},{7,7,146},{7,7,130},{6,7,16},{0,7,256},{7,7,130},{0,7,256},{4,0,2665},{4,0,2665},{4,0,2665},{4,0,2665},{3,7,200},{3,7,200},{3,7,200},{3,6,13},{0,7,221},{0,7,221},{5,7,8997},{5,7,7105},{5,7,6081},{4,7,4178},{5,7,9276},{4,7,4179},{4,7,2154},
{3,7,356},{3,7,8721},{1,7,209},{6,7,2129},{6,7,1505},{6,7,1105},{6,7,673},{7,6,3332},{5,7,2000},{5,7,976},{2,7,73},{7,6,3300},{2,7,73},{5,7,6081},{5,7,6081},{5,7,6081},{4,7,4178},{4,7,5274},{4,7,2154},{4,7,2154},{3,7,356},{2,7,4878},{1,7,209},{6,7,1105},{6,7,1105},{6,7,1105},{6,7,673},{7,5,2210},{5,7,976},{5,7,976},{2,7,73},{6,6,2178},
{2,7,73},{7,7,130},{7,7,58},{7,7,9},{7,7,1},{7,7,130},{7,7,50},{7,7,1},{0,7,64},{7,7,50},{0,7,64},{4,0,2809},{4,0,2809},{4,0,2809},{4,0,2809},{3,7,520},{3,7,520},{3,7,520},{3,6,61},{1,7,145},{1,7,145},{5,7,9109},{5,7,7217},{5,7,6193},{5,7,4301},{5,7,8892},{4,7,4531},{4,7,2506},{3,7,260},{4,7,8587},{1,7,289},{6,7,2273},
{6,7,1649},{6,7,1249},{6,7,625},{7,6,2916},{6,7,1956},{5,7,1168},{2,7,25},{6,7,2916},{2,7,25},{5,7,6193},{5,7,6193},{5,7,6193},{5,7,4301},{5,7,5976},{4,7,2506},{4,7,2506},{3,7,260},{3,7,5277},{1,7,289},{6,7,1249},{6,7,1249},{6,7,1249},{6,7,625},{6,7,2180},{5,7,1168},{5,7,1168},{2,7,25},{5,7,2180},{2,7,25},{7,7,242},{7,7,170},{7,7,121},
{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{4,0,3209},{4,0,3209},{4,0,3209},{4,0,3209},{4,7,481},{4,7,481},{4,7,481},{3,7,260},{1,7,289},{1,7,289},{6,7,8325},{5,7,6749},{5,7,5725},{5,7,3833},{5,7,7866},{5,7,4082},{4,7,2470},{4,7,265},{4,7,7219},{2,7,365},{7,7,1842},{6,7,1460},{6,7,1060},{6,7,436},{7,6,2241},
{6,7,1425},{6,7,1025},{3,7,1},{6,7,2169},{3,7,1},{5,7,5725},{5,7,5725},{5,7,5725},{5,7,3833},{5,7,4950},{4,7,2470},{4,7,2470},{4,7,265},{3,7,4521},{2,7,365},{6,7,1060},{6,7,1060},{6,7,1060},{6,7,436},{6,7,1649},{6,7,1025},{6,7,1025},{3,7,1},{7,6,1625},{3,7,1},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},
{0,7,0},{7,7,98},{0,7,0},{5,0,2809},{5,0,2809},{5,0,2809},{5,0,2809},{4,7,445},{4,7,445},{4,7,445},{4,6,202},{2,7,365},{2,7,365},{6,7,7093},{6,7,6469},{5,7,5581},{5,7,3689},{5,7,7226},{5,7,3442},{5,7,2418},{4,7,25},{4,7,6275},{2,7,509},{7,7,1266},{7,7,1194},{6,7,1028},{6,7,404},{7,7,1686},{6,7,1089},{6,7,689},{4,7,16},{6,7,1641},
{4,7,16},{5,7,5581},{5,7,5581},{5,7,5581},{5,7,3689},{5,7,4310},{5,7,2418},{5,7,2418},{4,7,25},{3,7,4121},{2,7,509},{6,7,1028},{6,7,1028},{6,7,1028},{6,7,404},{7,6,1201},{6,7,689},{6,7,689},{4,7,16},{7,6,1225},{4,7,16},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{5,0,2665},
{5,0,2665},{5,0,2665},{5,0,2665},{4,7,685},{4,7,685},{4,7,685},{4,7,25},{2,7,509},{2,7,509},{6,7,6117},{6,7,5493},{6,7,5093},{5,7,3801},{6,7,6098},{5,7,3058},{5,7,2034},{4,7,41},{4,7,5587},{3,7,613},{7,7,818},{7,7,746},{7,7,697},{6,7,500},{7,7,1142},{6,7,881},{6,7,481},{4,7,16},{6,7,1241},{4,7,16},{6,7,5093},{6,7,5093},{6,7,5093},
{5,7,3801},{5,7,3926},{5,7,2034},{5,7,2034},{4,7,41},{4,7,3562},{3,7,613},{7,7,697},{7,7,697},{7,7,697},{6,7,500},{7,6,865},{6,7,481},{6,7,481},{4,7,16},{6,7,841},{4,7,16},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{5,0,2777},{5,0,2777},{5,0,2777},{5,0,2777},{5,7,1010},
{5,7,1010},{5,7,1010},{4,7,41},{3,7,613},{3,7,613},{6,7,5397},{6,7,4773},{6,7,4373},{6,7,3749},{6,7,5074},{5,7,2930},{5,7,1906},{4,7,313},{5,7,4753},{3,7,725},{7,7,498},{7,7,426},{7,7,377},{7,7,305},{7,7,726},{7,7,582},{6,7,401},{5,7,1},{7,7,774},{5,7,1},{6,7,4373},{6,7,4373},{6,7,4373},{6,7,3749},{5,7,3798},{5,7,1906},{5,7,1906},
{4,7,313},{4,7,3130},{3,7,725},{7,7,377},{7,7,377},{7,7,377},{7,7,305},{7,7,605},{6,7,401},{6,7,401},{5,7,1},{6,7,569},{5,7,1},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{5,0,3145},{5,0,3145},{5,0,3145},{5,0,3145},{5,7,882},{5,7,882},{5,7,882},{4,7,313},{3,7,725},
{3,7,725},{1,7,34142},{0,7,5184},{0,5,609},{0,5,4841},{1,7,46442},{0,7,24449},{0,5,9741},{0,4,24761},{0,5,65162},{0,3,40820},{0,7,10048},{0,7,2880},{0,5,545},{0,4,3204},{1,4,18070},{0,4,13297},{0,4,6453},{0,2,13857},{2,2,18070},{0,2,13857},{0,3,9},{0,3,9},{0,3,9},{0,2,36},{0,1,1145},{0,1,617},{0,1,617},{0,1,977},{0,0,1505},{0,0,1036},{0,3,9},
{0,3,9},{0,3,9},{0,2,36},{1,0,1129},{0,1,617},{0,1,617},{0,1,977},{1,0,1105},{0,1,977},{4,2,9250},{0,7,2880},{0,5,545},{0,4,3204},{4,2,9250},{5,2,9250},{0,4,3204},{0,3,9280},{5,2,9250},{0,3,9280},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{1,7,38782},{0,7,6720},{0,5,305},
{0,5,3801},{1,7,51082},{0,7,24961},{0,5,8701},{0,4,25849},{0,5,65535},{0,4,42094},{1,7,10502},{0,7,2624},{0,5,241},{0,4,3044},{3,1,19334},{0,4,14065},{0,4,6293},{0,3,14756},{4,1,19334},{0,3,14756},{0,4,4},{0,4,4},{0,4,4},{0,2,4},{0,2,1537},{0,1,937},{0,1,937},{0,1,977},{0,1,1898},{0,1,1338},{0,4,4},{0,4,4},{0,4,4},{0,2,4},{1,0,1513},
{0,1,937},{0,1,937},{0,1,977},{0,1,1537},{0,1,977},{5,1,9256},{0,7,2624},{0,5,241},{0,4,3044},{5,1,9256},{7,1,9256},{0,4,3044},{0,3,9280},{7,1,9256},{0,3,9280},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{1,7,44190},{0,7,9024},{0,5,769},{0,5,3529},{1,7,56490},{0,7,26241},{0,5,8429},
{0,4,27705},{0,5,65535},{0,4,43950},{1,7,10854},{0,7,2624},{0,5,193},{0,5,2953},{2,3,20689},{0,5,14598},{0,4,6389},{0,3,15012},{6,0,20689},{0,3,15012},{0,4,36},{0,4,36},{0,4,36},{0,2,100},{0,2,1985},{0,2,1061},{0,2,1061},{0,1,1105},{0,1,2346},{0,1,1466},{0,4,36},{0,4,36},{0,4,36},{0,2,100},{0,2,1985},{0,2,1061},{0,2,1061},{0,1,1105},{0,1,1985},
{0,1,1105},{6,0,9256},{0,7,2624},{0,5,193},{0,5,2953},{6,0,9256},{6,2,9256},{0,5,2953},{0,3,9536},{6,2,9256},{0,3,9536},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{1,7,50366},{0,7,12096},{0,6,1101},{0,5,4025},{1,7,62666},{0,7,28289},{0,5,8925},{0,5,28912},{0,6,65535},{0,4,46574},{1,7,11462},
{0,7,2880},{0,6,317},{0,5,2425},{4,0,22137},{0,5,15206},{0,4,6741},{0,3,15524},{3,2,22137},{0,3,15524},{0,5,1},{0,5,1},{0,5,1},{0,3,9},{0,2,2561},{0,2,1285},{0,2,1285},{0,1,1361},{0,1,2922},{0,1,1722},{0,5,1},{0,5,1},{0,5,1},{0,3,9},{1,1,2561},{0,2,1285},{0,2,1285},{0,1,1361},{2,0,2521},{0,1,1361},{5,2,9250},{0,7,2880},{0,6,317},
{0,5,2425},{5,2,9250},{5,3,9250},{0,5,2425},{0,4,9640},{5,3,9250},{0,4,9640},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{1,7,58232},{0,7,16470},{0,6,129},{0,6,3489},{1,7,65535},{0,7,31511},{0,6,10213},{0,5,29110},{0,6,65535},{0,4,50444},{1,7,12452},{0,7,3474},{0,6,29},{0,5,2137},{2,4,23851},
{0,6,16172},{0,5,7037},{0,3,16406},{7,0,23851},{0,3,16406},{0,6,4},{0,6,4},{0,6,4},{0,3,36},{0,3,3232},{0,2,1690},{0,2,1690},{0,1,1802},{0,1,3723},{0,1,2163},{0,6,4},{0,6,4},{0,6,4},{0,3,36},{1,1,3200},{0,2,1690},{0,2,1690},{0,1,1802},{2,0,3232},{0,1,1802},{6,1,9256},{1,7,3232},{0,6,29},{0,5,2137},{6,1,9256},{6,3,9256},{0,5,2137},
{0,4,9298},{6,3,9256},{0,4,9298},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{1,7,65535},{0,7,21174},{0,6,81},{0,6,2545},{1,7,65535},{0,7,35191},{0,6,9269},{0,5,30102},{0,6,65535},{0,5,54602},{1,7,13604},{0,7,4274},{0,6,45},{0,5,2153},{4,1,25472},{0,6,16620},{0,5,7053},{0,3,17462},{4,2,25472},
{0,3,17462},{0,6,36},{0,6,36},{0,6,36},{0,4,49},{0,3,3872},{0,3,2132},{0,3,2132},{0,1,2330},{0,1,4571},{0,1,2691},{0,6,36},{0,6,36},{0,6,36},{0,4,49},{0,3,3872},{0,3,2132},{0,3,2132},{0,1,2330},{1,1,3872},{0,1,2330},{7,0,9250},{1,7,3488},{0,6,45},{0,5,2153},{7,0,9250},{3,5,9250},{0,5,2153},{0,4,9266},{3,5,9250},{0,4,9266},{0,0,0},
{0,0,0},{0,0,0},{0,0,0},{0,0,36},{0,0,36},{0,0,36},{0,0,100},{0,0,136},{0,0,136},{2,7,65535},{1,7,25204},{0,6,805},{0,6,2373},{1,7,65535},{0,7,39263},{0,6,8769},{0,5,31402},{0,6,65535},{0,5,55902},{1,7,14880},{1,7,5024},{0,6,321},{0,6,1889},{5,0,26756},{0,6,17000},{0,5,7049},{0,4,18139},{6,1,26756},{0,4,18139},{0,7,5},{0,7,5},{0,7,5},
{0,4,5},{0,3,4468},{0,3,2248},{0,3,2248},{0,2,2722},{0,2,5411},{0,1,3227},{0,7,5},{0,7,5},{0,7,5},{0,4,5},{2,0,4420},{0,3,2248},{0,3,2248},{0,2,2722},{3,0,4420},{0,2,2722},{5,4,9250},{1,7,4000},{1,6,185},{0,6,1885},{5,4,9250},{7,3,9250},{0,6,1885},{0,4,9490},{7,3,9250},{0,4,9490},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,16},
{0,0,16},{0,0,16},{0,0,64},{0,0,100},{0,0,100},{2,7,65535},{1,7,29620},{0,7,1306},{0,6,3061},{2,7,65535},{0,7,43055},{0,6,8145},{0,6,31878},{0,7,65535},{0,5,56670},{2,7,14924},{1,7,5344},{0,7,406},{0,6,1617},{4,2,26756},{0,6,16744},{0,5,6553},{0,4,17195},{5,2,26756},{0,4,17195},{0,7,181},{0,7,181},{0,7,181},{0,4,181},{0,4,4418},{0,3,2056},{0,3,2056},
{0,2,2210},{0,2,5411},{0,2,3171},{0,7,181},{0,7,181},{0,7,181},{0,4,181},{0,4,4418},{0,3,2056},{0,3,2056},{0,2,2210},{2,1,4418},{0,2,2210},{6,3,9248},{2,7,4292},{0,7,306},{0,6,1517},{6,3,9248},{6,4,9248},{0,6,1517},{0,5,9698},{6,4,9248},{0,5,9698},{0,0,100},{0,0,100},{0,0,100},{0,0,100},{0,0,16},{0,0,16},{0,0,16},{0,0,0},{0,0,36},
{0,0,36},{2,7,65535},{1,7,35659},{0,7,865},{0,7,2657},{2,7,65535},{1,7,48315},{0,7,8072},{0,6,29745},{0,7,65535},{0,5,58605},{2,7,15347},{1,7,6163},{1,7,270},{0,6,1770},{5,1,26756},{0,7,15992},{0,6,5378},{0,4,16592},{6,2,26756},{0,4,16592},{0,7,685},{0,7,685},{0,7,685},{0,5,370},{0,5,4450},{0,4,1768},{0,4,1768},{0,2,1940},{0,2,5717},{0,2,2901},{1,7,234},
{1,7,234},{1,7,234},{1,4,250},{1,3,4420},{0,4,1768},{0,4,1768},{0,2,1940},{1,2,4420},{0,2,1940},{7,2,9250},{3,7,4820},{1,7,45},{0,6,1409},{7,2,9250},{5,5,9250},{0,6,1409},{0,5,9320},{5,5,9250},{0,5,9320},{0,0,361},{0,0,361},{0,0,361},{0,0,361},{0,1,0},{0,1,0},{0,1,0},{0,0,81},{0,0,117},{0,0,117},{2,7,65535},{1,7,40299},{0,7,1405},
{0,7,2173},{2,7,65535},{1,7,50747},{0,7,6068},{0,6,28101},{0,7,65535},{0,5,59897},{2,7,15659},{1,7,6963},{1,7,74},{1,6,2046},{6,0,26264},{0,7,15284},{0,6,4470},{0,4,16052},{3,4,26264},{0,4,16052},{1,7,1230},{1,7,1230},{1,7,1230},{0,5,754},{0,5,4450},{0,4,1576},{0,4,1576},{0,2,1972},{0,2,6261},{0,2,2933},{1,7,74},{1,7,74},{1,7,74},{1,5,113},{2,2,4418},
{0,4,1576},{0,4,1576},{0,2,1972},{5,0,4418},{0,2,1972},{5,6,8980},{3,7,4808},{1,7,25},{0,7,1444},{5,6,8980},{4,6,8980},{0,7,1444},{0,5,8980},{4,6,8980},{0,5,8980},{0,0,729},{0,0,729},{0,0,729},{0,0,729},{0,2,16},{0,2,16},{0,2,16},{0,1,16},{0,0,325},{0,0,325},{2,7,65535},{1,7,40395},{0,7,2381},{0,7,2125},{2,7,65535},{1,7,48635},{0,7,4500},
{0,6,24853},{0,7,65535},{0,5,57545},{3,7,14605},{2,7,6211},{1,7,170},{1,6,1598},{5,2,24379},{0,7,13716},{0,6,3446},{0,5,14549},{5,3,24379},{0,5,14549},{1,7,1326},{1,7,1326},{1,7,1326},{1,5,1157},{0,6,4418},{0,5,1394},{0,5,1394},{0,3,1621},{0,3,6482},{0,2,3221},{1,7,170},{1,7,170},{1,7,170},{1,5,1},{3,1,4418},{0,5,1394},{0,5,1394},{0,3,1621},{4,1,4418},
{0,3,1621},{7,3,7940},{3,7,4264},{2,7,81},{0,7,900},{7,3,7940},{6,5,7940},{0,7,900},{0,5,7988},{6,5,7940},{0,5,7988},{1,0,1157},{1,0,1157},{1,0,1157},{1,0,1157},{0,2,16},{0,2,16},{0,2,16},{0,1,16},{0,1,377},{0,1,377},{2,7,65535},{1,7,40747},{0,7,3613},{0,7,2333},{2,7,65535},{1,7,46779},{0,7,3188},{0,6,21861},{0,7,65535},{0,5,55449},{3,7,13181},
{2,7,5667},{1,7,522},{1,7,1306},{6,1,22571},{0,7,12404},{0,6,2678},{0,5,12453},{4,4,22571},{0,5,12453},{1,7,1678},{1,7,1678},{1,7,1678},{1,5,1301},{0,7,4468},{0,5,1170},{0,5,1170},{0,3,1285},{0,3,6866},{0,3,3221},{1,7,522},{1,7,522},{1,7,522},{1,5,145},{4,0,4420},{0,5,1170},{0,5,1170},{0,3,1285},{3,2,4420},{0,3,1285},{6,5,6964},{3,7,3848},{2,7,1},
{0,7,484},{6,5,6964},{3,7,6964},{0,7,484},{0,5,7124},{3,7,6964},{0,5,7124},{1,0,1237},{1,0,1237},{1,0,1237},{1,0,1237},{0,3,1},{0,3,1},{0,3,1},{0,2,100},{0,1,505},{0,1,505},{2,7,65535},{1,7,41449},{0,7,5305},{0,7,2873},{2,7,65535},{1,7,44997},{0,7,2018},{0,6,18801},{0,7,65535},{0,6,52421},{3,7,11885},{2,7,5361},{2,7,320},{1,7,1000},{5,3,20645},
{0,7,11234},{0,7,2018},{0,5,10401},{6,3,20645},{0,5,10401},{1,7,2380},{1,7,2380},{1,7,2380},{1,6,1496},{0,7,4450},{0,6,964},{0,6,964},{0,3,1213},{0,3,7604},{0,3,3149},{2,7,320},{2,7,320},{2,7,320},{2,5,272},{2,4,4418},{0,6,964},{0,6,964},{0,3,1213},{7,0,4418},{0,3,1213},{5,7,5941},{4,7,3181},{2,7,64},{0,7,169},{5,7,5941},{5,6,5941},{0,7,169},
{0,5,6305},{5,6,5941},{0,5,6305},{1,0,1480},{1,0,1480},{1,0,1480},{1,0,1480},{0,4,25},{0,4,25},{0,4,25},{0,2,1},{0,1,802},{0,1,802},{2,7,65535},{1,7,42345},{0,7,7081},{0,7,3625},{2,7,65535},{1,7,43685},{0,7,1250},{0,6,16353},{0,7,65535},{0,6,49973},{3,7,11005},{3,7,5153},{2,7,320},{2,7,964},{7,0,19026},{1,7,10349},{0,7,1250},{0,5,8849},{3,5,19026},
{0,5,8849},{1,7,3276},{1,7,3276},{1,7,3276},{1,6,1848},{0,7,4706},{0,6,740},{0,6,740},{0,4,1226},{0,4,7955},{0,3,3357},{2,7,320},{2,7,320},{2,7,320},{2,6,145},{3,3,4420},{0,6,740},{0,6,740},{0,4,1226},{6,1,4420},{0,4,1226},{7,4,5105},{4,7,2701},{3,7,25},{0,7,25},{7,4,5105},{7,5,5105},{0,7,25},{0,6,5645},{7,5,5105},{0,6,5645},{1,0,1832},
{1,0,1832},{1,0,1832},{1,0,1832},{0,4,9},{0,4,9},{0,4,9},{0,2,49},{0,2,1010},{0,2,1010},{2,7,65535},{1,7,43497},{1,7,9052},{0,7,4633},{2,7,65535},{1,7,42629},{0,7,738},{0,6,14161},{0,7,65535},{0,6,47781},{3,7,10381},{3,7,4529},{2,7,576},{2,7,484},{5,4,17490},{1,7,9293},{0,7,738},{0,5,7553},{7,3,17490},{0,5,7553},{1,7,4428},{1,7,4428},{1,7,4428},
{1,7,2412},{0,7,5218},{0,7,738},{0,7,738},{0,4,810},{0,4,8467},{0,3,3821},{2,7,576},{2,7,576},{2,7,576},{2,6,1},{4,2,4420},{0,7,738},{0,7,738},{0,4,810},{5,2,4420},{0,4,810},{6,6,4329},{4,7,2349},{3,7,9},{0,7,9},{6,6,4329},{4,7,4329},{0,7,9},{0,6,4637},{4,7,4329},{0,6,4637},{1,0,2312},{1,0,2312},{1,0,2312},{1,0,2312},{0,5,4},
{0,5,4},{0,5,4},{0,3,36},{0,2,1186},{0,2,1186},{2,7,65535},{1,7,44905},{1,7,10460},{0,7,5897},{2,7,65535},{1,7,41829},{0,7,482},{0,6,12225},{0,7,65535},{0,6,45845},{4,7,9325},{3,7,4161},{3,7,797},{2,7,260},{7,1,16034},{1,7,8493},{0,7,482},{0,5,6513},{4,5,16034},{0,5,6513},{2,7,5712},{2,7,5712},{2,7,5712},{1,7,2924},{1,7,5672},{0,7,482},{0,7,482},
{0,4,650},{0,4,9235},{0,4,3899},{3,7,797},{3,7,797},{3,7,797},{2,6,113},{5,1,4426},{0,7,482},{0,7,482},{0,4,650},{7,1,4426},{0,4,650},{6,6,3625},{5,7,1985},{4,7,100},{1,7,4},{6,6,3625},{6,6,3617},{1,7,4},{0,6,3757},{6,6,3617},{0,6,3757},{1,0,2920},{1,0,2920},{1,0,2920},{1,0,2920},{0,5,36},{0,5,36},{0,5,36},{0,3,4},{0,2,1490},
{0,2,1490},{2,7,65535},{1,7,46795},{1,7,12350},{0,7,7625},{2,7,65535},{1,7,41235},{0,7,500},{0,6,10353},{0,7,65535},{0,6,43973},{4,7,8227},{3,7,4053},{3,7,689},{2,7,314},{6,3,14507},{2,7,7875},{0,7,500},{0,5,5649},{6,4,14507},{0,5,5649},{2,7,6594},{2,7,6594},{2,7,6594},{1,7,3806},{1,7,6086},{0,7,500},{0,7,500},{0,4,776},{0,5,9830},{0,4,4025},{3,7,689},
{3,7,689},{3,7,689},{3,6,298},{6,0,4420},{0,7,500},{0,7,500},{0,4,776},{3,4,4420},{0,4,776},{7,5,2890},{5,7,1508},{4,7,1},{2,7,25},{7,5,2890},{6,6,2906},{2,7,25},{0,6,2920},{6,6,2906},{0,6,2920},{1,0,3757},{1,0,3757},{1,0,3757},{1,0,3757},{0,6,9},{0,6,9},{0,6,9},{0,4,100},{0,2,1985},{0,2,1985},{2,7,65535},{1,7,48747},{1,7,14302},
{0,7,9433},{2,7,65535},{1,7,40979},{0,7,788},{0,6,8961},{0,7,65535},{0,6,42581},{4,7,7523},{4,7,3923},{3,7,865},{3,7,181},{7,2,13243},{2,7,7075},{1,7,754},{0,6,4337},{5,5,13243},{0,6,4337},{2,7,7650},{2,7,7650},{2,7,7650},{1,7,4862},{1,7,6726},{0,7,788},{0,7,788},{0,5,529},{0,5,10470},{0,4,4409},{3,7,865},{3,7,865},{3,7,865},{3,7,181},{5,2,4426},
{1,7,754},{1,7,754},{0,5,529},{7,2,4426},{0,5,529},{6,7,2320},{5,7,1220},{4,7,49},{2,7,9},{6,7,2320},{5,7,2320},{2,7,9},{0,6,2312},{5,7,2320},{0,6,2312},{1,0,4637},{1,0,4637},{1,0,4637},{1,0,4637},{0,7,4},{0,7,4},{0,7,4},{0,4,4},{0,3,2297},{0,3,2297},{2,7,65535},{1,7,50955},{1,7,16510},{1,7,10798},{2,7,65535},{1,7,40979},{0,7,1332},
{0,7,6964},{0,7,65535},{0,6,41445},{4,7,7075},{4,7,3475},{3,7,1297},{3,7,5},{6,4,12051},{2,7,6531},{1,7,754},{0,6,3201},{7,4,12051},{0,6,3201},{2,7,8962},{2,7,8962},{2,7,8962},{2,7,5834},{1,7,7622},{0,7,1332},{0,7,1332},{0,5,289},{0,6,11342},{0,4,5049},{3,7,1297},{3,7,1297},{3,7,1297},{3,7,5},{6,1,4426},{1,7,754},{1,7,754},{0,5,289},{6,3,4426},
{0,5,289},{6,7,1808},{5,7,1060},{5,7,36},{3,7,4},{6,7,1808},{7,6,1808},{3,7,4},{0,6,1832},{7,6,1808},{0,6,1832},{1,0,5645},{1,0,5645},{1,0,5645},{1,0,5645},{0,7,36},{0,7,36},{0,7,36},{0,4,36},{0,3,2665},{0,3,2665},{2,7,65535},{1,7,53419},{1,7,18974},{1,7,12366},{2,7,65535},{1,7,41235},{0,7,2132},{0,7,5204},{0,7,65535},{0,6,40565},{5,7,6641},
{4,7,3283},{4,7,1258},{3,7,85},{5,6,10952},{3,7,5900},{1,7,1010},{0,6,2321},{4,6,10952},{0,6,2321},{2,7,10530},{2,7,10530},{2,7,10530},{2,7,6666},{1,7,8774},{0,7,2132},{0,7,2132},{0,5,305},{0,6,11790},{0,5,5205},{4,7,1258},{4,7,1258},{4,7,1258},{3,7,85},{7,0,4420},{1,7,1010},{1,7,1010},{0,5,305},{3,5,4420},{0,5,305},{7,6,1360},{6,7,800},{5,7,4},
{3,7,36},{7,6,1360},{7,6,1360},{3,7,36},{0,6,1480},{7,6,1360},{0,6,1480},{2,0,6305},{2,0,6305},{2,0,6305},{2,0,6305},{0,7,196},{0,7,196},{0,7,196},{0,5,49},{0,3,3161},{0,3,3161},{2,7,65535},{2,7,56301},{1,7,22052},{1,7,14436},{2,7,65535},{1,7,41829},{0,7,3338},{0,7,3530},{0,7,65535},{0,6,39881},{5,7,5741},{4,7,3373},{4,7,1348},{4,7,328},{7,3,9830},
{3,7,5270},{2,7,1184},{0,6,1637},{6,5,9830},{0,6,1637},{2,7,12600},{2,7,12600},{2,7,12600},{2,7,7908},{1,7,10376},{1,7,2760},{1,7,2760},{0,6,481},{0,6,12600},{0,5,5529},{4,7,1348},{4,7,1348},{4,7,1348},{4,7,328},{7,1,4426},{2,7,1184},{2,7,1184},{0,6,481},{7,3,4426},{0,6,481},{7,6,937},{6,7,521},{5,7,121},{4,7,4},{7,6,937},{6,7,929},{4,7,4},
{0,6,1237},{6,7,929},{0,6,1237},{2,0,7124},{2,0,7124},{2,0,7124},{2,0,7124},{0,7,529},{0,7,529},{0,7,529},{0,5,4},{0,4,3778},{0,4,3778},{2,7,65535},{2,7,58413},{1,7,25060},{1,7,16548},{2,7,65535},{1,7,42629},{0,7,4682},{0,7,2314},{0,7,65535},{0,6,39545},{5,7,5213},{5,7,3321},{4,7,1700},{4,7,200},{5,7,8902},{3,7,4982},{2,7,1440},{0,6,1301},{5,6,8902},
{0,6,1301},{3,7,14701},{3,7,14701},{3,7,14701},{2,7,9284},{2,7,11492},{1,7,3560},{1,7,3560},{0,6,145},{0,6,13592},{0,5,6089},{4,7,1700},{4,7,1700},{4,7,1700},{4,7,200},{6,3,4420},{2,7,1440},{2,7,1440},{0,6,145},{6,4,4420},{0,6,145},{7,6,697},{6,7,409},{6,7,9},{5,7,9},{7,6,697},{6,7,625},{5,7,9},{0,6,1157},{6,7,625},{0,6,1157},{2,0,7988},
{2,0,7988},{2,0,7988},{2,0,7988},{0,7,961},{0,7,961},{0,7,961},{0,5,100},{0,4,4210},{0,4,4210},{3,7,65535},{2,7,60781},{1,7,28324},{1,7,18916},{2,7,65535},{1,7,43685},{0,7,6282},{0,7,1354},{0,7,65535},{0,6,39465},{5,7,4941},{5,7,3049},{5,7,2025},{4,7,328},{7,4,8069},{4,7,4465},{3,7,1586},{0,6,1221},{7,5,8069},{0,6,1221},{3,7,16189},{3,7,16189},{3,7,16189},
{2,7,10916},{2,7,12740},{1,7,4616},{1,7,4616},{0,6,65},{0,7,14411},{0,6,6789},{5,7,2025},{5,7,2025},{5,7,2025},{4,7,328},{7,2,4420},{3,7,1586},{3,7,1586},{0,6,65},{5,5,4420},{0,6,65},{7,7,377},{7,7,305},{6,7,25},{5,7,25},{7,7,377},{6,7,449},{5,7,25},{0,7,729},{6,7,449},{0,7,729},{2,0,8980},{2,0,8980},{2,0,8980},{2,0,8980},{1,7,1480},
{1,7,1480},{1,7,1480},{0,6,16},{0,4,4770},{0,4,4770},{3,7,65535},{2,7,59505},{1,7,29984},{1,7,19680},{2,7,65535},{1,7,43137},{0,7,8318},{0,7,830},{0,7,65535},{0,6,34901},{5,7,4925},{5,7,3033},{5,7,2009},{4,7,712},{6,6,7325},{4,7,4145},{3,7,1810},{0,7,650},{4,7,7325},{0,7,650},{3,7,16745},{3,7,16745},{3,7,16745},{2,7,12024},{2,7,13464},{1,7,5556},{1,7,5556},
{0,6,277},{0,7,14139},{0,6,6017},{5,7,2009},{5,7,2009},{5,7,2009},{4,7,712},{5,6,4418},{3,7,1810},{3,7,1810},{0,6,241},{4,6,4418},{0,6,241},{7,7,185},{7,7,113},{7,7,64},{6,7,1},{7,7,185},{7,7,193},{6,7,1},{0,7,361},{7,7,193},{0,7,361},{2,0,9320},{2,0,9320},{2,0,9320},{2,0,9320},{1,7,1460},{1,7,1460},{1,7,1460},{0,6,52},{0,5,4772},
{0,5,4772},{3,7,65535},{2,7,57588},{1,7,32135},{1,7,20823},{3,7,65535},{1,7,42804},{1,7,8359},{0,7,1289},{0,7,65535},{0,6,28970},{6,7,4317},{5,7,3321},{5,7,2297},{5,7,845},{7,5,6587},{5,7,4008},{4,7,2066},{0,7,164},{6,6,6611},{0,7,164},{3,7,17366},{3,7,17366},{3,7,17366},{3,7,12274},{2,7,14427},{2,7,6699},{2,7,6699},{0,7,389},{0,7,13860},{0,6,5234},{5,7,2297},
{5,7,2297},{5,7,2297},{5,7,845},{6,5,4420},{4,7,2066},{4,7,2066},{0,7,164},{3,7,4420},{0,7,164},{7,7,122},{7,7,50},{7,7,1},{7,7,9},{7,7,122},{7,7,58},{7,7,9},{0,7,100},{7,7,58},{0,7,100},{2,0,9698},{2,0,9698},{2,0,9698},{2,0,9698},{1,7,1586},{1,7,1586},{1,7,1586},{0,7,289},{0,5,4250},{0,5,4250},{3,7,65535},{2,7,56836},{2,7,31631},
{1,7,22791},{3,7,65535},{2,7,40532},{1,7,9015},{1,7,778},{0,7,65535},{0,6,24650},{6,7,3949},{6,7,3325},{5,7,2825},{5,7,1021},{6,7,6020},{5,7,3688},{4,7,2290},{0,7,4},{5,7,6020},{0,7,4},{3,7,18326},{3,7,18326},{3,7,18326},{3,7,12626},{3,7,15077},{2,7,7227},{2,7,7227},{1,7,294},{0,7,14020},{0,6,4946},{5,7,2825},{5,7,2825},{5,7,2825},{5,7,1021},{7,4,4418},
{4,7,2290},{4,7,2290},{0,7,4},{7,5,4418},{0,7,4},{7,7,202},{7,7,130},{7,7,81},{7,7,25},{7,7,202},{7,7,74},{7,7,25},{0,7,4},{7,7,74},{0,7,4},{3,0,9490},{3,0,9490},{3,0,9490},{3,0,9490},{1,7,1970},{1,7,1970},{1,7,1970},{1,6,202},{0,6,3922},{0,6,3922},{3,7,65535},{3,7,55466},{2,7,30335},{2,7,21687},{3,7,65535},{2,7,37932},{1,7,9535},
{1,7,70},{0,7,65535},{0,7,20544},{6,7,3417},{6,7,2793},{6,7,2393},{5,7,1033},{6,7,5184},{5,7,3204},{5,7,2180},{1,7,25},{7,6,5168},{1,7,25},{4,7,17611},{4,7,17611},{4,7,17611},{3,7,12630},{3,7,14321},{2,7,7251},{2,7,7251},{1,7,34},{0,7,13376},{0,7,4160},{6,7,2393},{6,7,2393},{6,7,2393},{5,7,1033},{6,6,3874},{5,7,2180},{5,7,2180},{1,7,25},{4,7,3874},
{1,7,25},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{3,0,9266},{3,0,9266},{3,0,9266},{3,0,9266},{2,7,2210},{2,7,2210},{2,7,2210},{1,7,34},{0,6,3442},{0,6,3442},{3,7,65535},{3,7,51210},{2,7,29343},{2,7,20695},{3,7,65535},{2,7,35820},{1,7,10495},{1,7,134},{1,7,65535},{0,7,15936},{6,7,2889},
{6,7,2265},{6,7,1865},{5,7,1049},{7,6,4288},{5,7,2724},{5,7,1700},{1,7,9},{7,6,4272},{1,7,9},{4,7,16555},{4,7,16555},{4,7,16555},{3,7,12662},{3,7,13441},{2,7,7251},{2,7,7251},{1,7,34},{0,7,12608},{0,7,3392},{6,7,1865},{6,7,1865},{6,7,1865},{5,7,1049},{7,5,3218},{5,7,1700},{5,7,1700},{1,7,9},{6,6,3202},{1,7,9},{7,7,242},{7,7,170},{7,7,121},
{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{3,0,9298},{3,0,9298},{3,0,9298},{3,0,9298},{2,7,2210},{2,7,2210},{2,7,2210},{1,7,34},{0,6,3218},{0,6,3218},{4,7,65535},{3,7,47340},{2,7,29145},{2,7,20497},{3,7,65535},{2,7,34362},{2,7,9157},{1,7,1124},{1,7,64598},{0,7,11670},{6,7,2448},{6,7,1824},{6,7,1424},{6,7,800},{7,6,3361},
{6,7,2321},{5,7,1313},{2,7,0},{6,7,3401},{2,7,0},{4,7,15673},{4,7,15673},{4,7,15673},{4,7,12073},{3,7,12757},{3,7,6905},{3,7,6905},{1,7,340},{1,7,11657},{0,7,2834},{6,7,1424},{6,7,1424},{6,7,1424},{6,7,800},{7,5,2525},{5,7,1313},{5,7,1313},{2,7,0},{5,7,2545},{2,7,0},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},
{0,7,0},{7,7,98},{0,7,0},{3,0,9640},{3,0,9640},{3,0,9640},{3,0,9640},{2,7,2516},{2,7,2516},{2,7,2516},{1,7,340},{0,7,2834},{0,7,2834},{4,7,65535},{3,7,44716},{3,7,27896},{2,7,21137},{4,7,65535},{3,7,31853},{2,7,8677},{2,7,784},{1,7,59734},{0,7,8694},{6,7,2192},{6,7,1568},{6,7,1168},{6,7,544},{7,6,2673},{6,7,1761},{5,7,1105},{3,7,25},{6,7,2649},
{3,7,25},{4,7,15161},{4,7,15161},{4,7,15161},{4,7,11561},{4,7,12169},{3,7,6569},{3,7,6569},{2,7,208},{1,7,10889},{0,7,2610},{6,7,1168},{6,7,1168},{6,7,1168},{6,7,544},{6,7,1985},{5,7,1105},{5,7,1105},{3,7,25},{5,7,1985},{3,7,25},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{4,0,9536},
{4,0,9536},{4,0,9536},{4,0,9536},{2,7,3060},{2,7,3060},{2,7,3060},{2,7,208},{0,7,2610},{0,7,2610},{4,7,63766},{3,7,42860},{3,7,26040},{3,7,20188},{4,7,60070},{3,7,29085},{2,7,8965},{2,7,336},{1,7,55638},{0,7,6486},{7,7,1686},{6,7,1440},{6,7,1040},{6,7,416},{7,6,2113},{6,7,1329},{6,7,929},{3,7,9},{6,7,2025},{3,7,9},{4,7,14905},{4,7,14905},{4,7,14905},
{4,7,11305},{4,7,11209},{3,7,6489},{3,7,6489},{2,7,272},{1,7,10377},{0,7,2642},{6,7,1040},{6,7,1040},{6,7,1040},{6,7,416},{7,6,1537},{6,7,929},{6,7,929},{3,7,9},{7,6,1513},{3,7,9},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{4,0,9280},{4,0,9280},{4,0,9280},{4,0,9280},{3,7,3125},
{3,7,3125},{3,7,3125},{2,7,272},{0,7,2642},{0,7,2642},{4,7,59414},{4,7,41414},{3,7,24952},{3,7,19100},{4,7,55014},{3,7,27085},{2,7,10021},{2,7,656},{1,7,52310},{0,7,5046},{7,7,1142},{7,7,1070},{7,7,1021},{6,7,416},{7,7,1538},{6,7,1025},{6,7,625},{4,7,4},{6,7,1529},{4,7,4},{5,7,13964},{5,7,13964},{5,7,13964},{4,7,11305},{4,7,10505},{3,7,6665},{3,7,6665},
{2,7,592},{2,7,9973},{0,7,2930},{7,7,1021},{7,7,1021},{7,7,1021},{6,7,416},{7,6,1105},{6,7,625},{6,7,625},{4,7,4},{6,7,1129},{4,7,4},{7,7,242},{7,7,170},{7,7,121},{7,7,49},{7,7,242},{7,7,98},{7,7,49},{0,7,0},{7,7,98},{0,7,0},{4,0,9280},{4,0,9280},{4,0,9280},{4,0,9280},{3,7,3301},{3,7,3301},{3,7,3301},{2,7,592},{0,7,2930},
{0,7,2930},
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_transcoder_uastc.h | // basisu_transcoder_uastc.h
#pragma once
#include "basisu_transcoder_internal.h"
namespace basist
{
struct color_quad_u8
{
uint8_t m_c[4];
};
const uint32_t TOTAL_UASTC_MODES = 19;
const uint32_t UASTC_MODE_INDEX_SOLID_COLOR = 8;
const uint32_t TOTAL_ASTC_BC7_COMMON_PARTITIONS2 = 30;
const uint32_t TOTAL_ASTC_BC7_COMMON_PARTITIONS3 = 11;
const uint32_t TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS = 19;
extern const uint8_t g_uastc_mode_weight_bits[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_weight_ranges[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_endpoint_ranges[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_subsets[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_planes[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_comps[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_has_etc1_bias[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_has_bc1_hint0[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_has_bc1_hint1[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_has_alpha[TOTAL_UASTC_MODES];
extern const uint8_t g_uastc_mode_is_la[TOTAL_UASTC_MODES];
struct astc_bc7_common_partition2_desc
{
uint8_t m_bc7;
uint16_t m_astc;
bool m_invert;
};
extern const astc_bc7_common_partition2_desc g_astc_bc7_common_partitions2[TOTAL_ASTC_BC7_COMMON_PARTITIONS2];
struct bc73_astc2_common_partition_desc
{
uint8_t m_bc73;
uint16_t m_astc2;
uint8_t k; // 0-5 - how to modify the BC7 3-subset pattern to match the ASTC pattern (LSB=invert)
};
extern const bc73_astc2_common_partition_desc g_bc7_3_astc2_common_partitions[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS];
struct astc_bc7_common_partition3_desc
{
uint8_t m_bc7;
uint16_t m_astc;
uint8_t m_astc_to_bc7_perm; // converts ASTC to BC7 partition using g_astc_bc7_partition_index_perm_tables[][]
};
extern const astc_bc7_common_partition3_desc g_astc_bc7_common_partitions3[TOTAL_ASTC_BC7_COMMON_PARTITIONS3];
extern const uint8_t g_astc_bc7_patterns2[TOTAL_ASTC_BC7_COMMON_PARTITIONS2][16];
extern const uint8_t g_astc_bc7_patterns3[TOTAL_ASTC_BC7_COMMON_PARTITIONS3][16];
extern const uint8_t g_bc7_3_astc2_patterns2[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS][16];
extern const uint8_t g_astc_bc7_pattern2_anchors[TOTAL_ASTC_BC7_COMMON_PARTITIONS2][3];
extern const uint8_t g_astc_bc7_pattern3_anchors[TOTAL_ASTC_BC7_COMMON_PARTITIONS3][3];
extern const uint8_t g_bc7_3_astc2_patterns2_anchors[TOTAL_BC7_3_ASTC2_COMMON_PARTITIONS][3];
extern const uint32_t g_uastc_mode_huff_codes[TOTAL_UASTC_MODES + 1][2];
extern const uint8_t g_astc_to_bc7_partition_index_perm_tables[6][3];
extern const uint8_t g_bc7_to_astc_partition_index_perm_tables[6][3]; // inverse of g_astc_to_bc7_partition_index_perm_tables
extern const uint8_t* s_uastc_to_bc1_weights[6];
uint32_t bc7_convert_partition_index_3_to_2(uint32_t p, uint32_t k);
inline uint32_t astc_interpolate(uint32_t l, uint32_t h, uint32_t w, bool srgb)
{
if (srgb)
{
l = (l << 8) | 0x80;
h = (h << 8) | 0x80;
}
else
{
l = (l << 8) | l;
h = (h << 8) | h;
}
uint32_t k = (l * (64 - w) + h * w + 32) >> 6;
return k >> 8;
}
struct astc_block_desc
{
int m_weight_range; // weight BISE range
int m_subsets; // number of ASTC partitions
int m_partition_seed; // partition pattern seed
int m_cem; // color endpoint mode used by all subsets
int m_ccs; // color component selector (dual plane only)
bool m_dual_plane; // true if dual plane
// Weight and endpoint BISE values.
// Note these values are NOT linear, they must be BISE encoded. See Table 97 and Table 107.
uint8_t m_endpoints[18]; // endpoint values, in RR GG BB etc. order
uint8_t m_weights[64]; // weight index values, raster order, in P0 P1, P0 P1, etc. or P0, P0, P0, P0, etc. order
};
const uint32_t BC7ENC_TOTAL_ASTC_RANGES = 21;
// See tables 81, 93, 18.13.Endpoint Unquantization
const uint32_t TOTAL_ASTC_RANGES = 21;
extern const int g_astc_bise_range_table[TOTAL_ASTC_RANGES][3];
struct astc_quant_bin
{
uint8_t m_unquant; // unquantized value
uint8_t m_index; // sorted index
};
extern astc_quant_bin g_astc_unquant[BC7ENC_TOTAL_ASTC_RANGES][256]; // [ASTC encoded endpoint index]
int astc_get_levels(int range);
bool astc_is_valid_endpoint_range(uint32_t range);
uint32_t unquant_astc_endpoint(uint32_t packed_bits, uint32_t packed_trits, uint32_t packed_quints, uint32_t range);
uint32_t unquant_astc_endpoint_val(uint32_t packed_val, uint32_t range);
const uint8_t* get_anchor_indices(uint32_t subsets, uint32_t mode, uint32_t common_pattern, const uint8_t*& pPartition_pattern);
// BC7
const uint32_t BC7ENC_BLOCK_SIZE = 16;
struct bc7_block
{
uint64_t m_qwords[2];
};
struct bc7_optimization_results
{
uint32_t m_mode;
uint32_t m_partition;
uint8_t m_selectors[16];
uint8_t m_alpha_selectors[16];
color_quad_u8 m_low[3];
color_quad_u8 m_high[3];
uint32_t m_pbits[3][2];
uint32_t m_index_selector;
uint32_t m_rotation;
};
extern const uint32_t g_bc7_weights1[2];
extern const uint32_t g_bc7_weights2[4];
extern const uint32_t g_bc7_weights3[8];
extern const uint32_t g_bc7_weights4[16];
extern const uint32_t g_astc_weights4[16];
extern const uint32_t g_astc_weights5[32];
extern const uint32_t g_astc_weights_3levels[3];
extern const uint8_t g_bc7_partition1[16];
extern const uint8_t g_bc7_partition2[64 * 16];
extern const uint8_t g_bc7_partition3[64 * 16];
extern const uint8_t g_bc7_table_anchor_index_second_subset[64];
extern const uint8_t g_bc7_table_anchor_index_third_subset_1[64];
extern const uint8_t g_bc7_table_anchor_index_third_subset_2[64];
extern const uint8_t g_bc7_num_subsets[8];
extern const uint8_t g_bc7_partition_bits[8];
extern const uint8_t g_bc7_color_index_bitcount[8];
extern const uint8_t g_bc7_mode_has_p_bits[8];
extern const uint8_t g_bc7_mode_has_shared_p_bits[8];
extern const uint8_t g_bc7_color_precision_table[8];
extern const int8_t g_bc7_alpha_precision_table[8];
extern const uint8_t g_bc7_alpha_index_bitcount[8];
inline bool get_bc7_mode_has_seperate_alpha_selectors(int mode) { return (mode == 4) || (mode == 5); }
inline int get_bc7_color_index_size(int mode, int index_selection_bit) { return g_bc7_color_index_bitcount[mode] + index_selection_bit; }
inline int get_bc7_alpha_index_size(int mode, int index_selection_bit) { return g_bc7_alpha_index_bitcount[mode] - index_selection_bit; }
struct endpoint_err
{
uint16_t m_error; uint8_t m_lo; uint8_t m_hi;
};
extern endpoint_err g_bc7_mode_6_optimal_endpoints[256][2]; // [c][pbit]
const uint32_t BC7ENC_MODE_6_OPTIMAL_INDEX = 5;
extern endpoint_err g_bc7_mode_5_optimal_endpoints[256]; // [c]
const uint32_t BC7ENC_MODE_5_OPTIMAL_INDEX = 1;
// Packs a BC7 block from a high-level description. Handles all BC7 modes.
void encode_bc7_block(void* pBlock, const bc7_optimization_results* pResults);
// Packs an ASTC block
// Constraints: Always 4x4, all subset CEM's must be equal, only tested with LDR CEM's.
bool pack_astc_block(uint32_t* pDst, const astc_block_desc* pBlock, uint32_t mode);
void pack_astc_solid_block(void* pDst_block, const color32& color);
#ifdef _DEBUG
int astc_compute_texel_partition(int seed, int x, int y, int z, int partitioncount, bool small_block);
#endif
struct uastc_block
{
union
{
uint8_t m_bytes[16];
uint32_t m_dwords[4];
};
};
struct unpacked_uastc_block
{
astc_block_desc m_astc;
uint32_t m_mode;
uint32_t m_common_pattern;
color32 m_solid_color;
bool m_bc1_hint0;
bool m_bc1_hint1;
bool m_etc1_flip;
bool m_etc1_diff;
uint32_t m_etc1_inten0;
uint32_t m_etc1_inten1;
uint32_t m_etc1_bias;
uint32_t m_etc2_hints;
uint32_t m_etc1_selector;
uint32_t m_etc1_r, m_etc1_g, m_etc1_b;
};
color32 apply_etc1_bias(const color32 &block_color, uint32_t bias, uint32_t limit, uint32_t subblock);
struct decoder_etc_block;
struct eac_block;
bool unpack_uastc(uint32_t mode, uint32_t common_pattern, const color32& solid_color, const astc_block_desc& astc, color32* pPixels, bool srgb);
bool unpack_uastc(const unpacked_uastc_block& unpacked_blk, color32* pPixels, bool srgb);
bool unpack_uastc(const uastc_block& blk, color32* pPixels, bool srgb);
bool unpack_uastc(const uastc_block& blk, unpacked_uastc_block& unpacked, bool undo_blue_contract, bool read_hints = true);
bool transcode_uastc_to_astc(const uastc_block& src_blk, void* pDst);
bool transcode_uastc_to_bc7(const unpacked_uastc_block& unpacked_src_blk, bc7_optimization_results& dst_blk);
bool transcode_uastc_to_bc7(const uastc_block& src_blk, bc7_optimization_results& dst_blk);
bool transcode_uastc_to_bc7(const uastc_block& src_blk, void* pDst);
void transcode_uastc_to_etc1(unpacked_uastc_block& unpacked_src_blk, color32 block_pixels[4][4], void* pDst);
bool transcode_uastc_to_etc1(const uastc_block& src_blk, void* pDst);
bool transcode_uastc_to_etc1(const uastc_block& src_blk, void* pDst, uint32_t channel);
void transcode_uastc_to_etc2_eac_a8(unpacked_uastc_block& unpacked_src_blk, color32 block_pixels[4][4], void* pDst);
bool transcode_uastc_to_etc2_rgba(const uastc_block& src_blk, void* pDst);
// Packs 16 scalar values to BC4. Same PSNR as stb_dxt's BC4 encoder, around 13% faster.
void encode_bc4(void* pDst, const uint8_t* pPixels, uint32_t stride);
void encode_bc1_solid_block(void* pDst, uint32_t fr, uint32_t fg, uint32_t fb);
enum
{
cEncodeBC1HighQuality = 1,
cEncodeBC1HigherQuality = 2,
cEncodeBC1UseSelectors = 4,
};
void encode_bc1(void* pDst, const uint8_t* pPixels, uint32_t flags);
// Alternate PCA-free encoder, around 15% faster, same (or slightly higher) avg. PSNR
void encode_bc1_alt(void* pDst, const uint8_t* pPixels, uint32_t flags);
void transcode_uastc_to_bc1_hint0(const unpacked_uastc_block& unpacked_src_blk, void* pDst);
void transcode_uastc_to_bc1_hint1(const unpacked_uastc_block& unpacked_src_blk, const color32 block_pixels[4][4], void* pDst, bool high_quality);
bool transcode_uastc_to_bc1(const uastc_block& src_blk, void* pDst, bool high_quality);
bool transcode_uastc_to_bc3(const uastc_block& src_blk, void* pDst, bool high_quality);
bool transcode_uastc_to_bc4(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0);
bool transcode_uastc_to_bc5(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0, uint32_t chan1);
bool transcode_uastc_to_etc2_eac_r11(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0);
bool transcode_uastc_to_etc2_eac_rg11(const uastc_block& src_blk, void* pDst, bool high_quality, uint32_t chan0, uint32_t chan1);
bool transcode_uastc_to_pvrtc1_4_rgb(const uastc_block* pSrc_blocks, void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, bool high_quality, bool from_alpha);
bool transcode_uastc_to_pvrtc1_4_rgba(const uastc_block* pSrc_blocks, void* pDst_blocks, uint32_t num_blocks_x, uint32_t num_blocks_y, bool high_quality);
// uastc_init() MUST be called before using this module.
void uastc_init();
} // namespace basist
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_file_headers.h | // basis_file_headers.h
// Copyright (C) 2019-2020 Binomial LLC. All Rights Reserved.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
#pragma once
#include "basisu_transcoder_internal.h"
namespace basist
{
// Slice desc header flags
enum basis_slice_desc_flags
{
cSliceDescFlagsHasAlpha = 1,
// Video only: Frame doesn't refer to previous frame (no usage of conditional replenishment pred symbols)
// Currently the first frame is always an I-Frame, all subsequent frames are P-Frames. This will eventually be changed to periodic I-Frames.
cSliceDescFlagsFrameIsIFrame = 2
};
#pragma pack(push)
#pragma pack(1)
struct basis_slice_desc
{
basisu::packed_uint<3> m_image_index; // The index of the source image provided to the encoder (will always appear in order from first to last, first image index is 0, no skipping allowed)
basisu::packed_uint<1> m_level_index; // The mipmap level index (mipmaps will always appear from largest to smallest)
basisu::packed_uint<1> m_flags; // enum basis_slice_desc_flags
basisu::packed_uint<2> m_orig_width; // The original image width (may not be a multiple of 4 pixels)
basisu::packed_uint<2> m_orig_height; // The original image height (may not be a multiple of 4 pixels)
basisu::packed_uint<2> m_num_blocks_x; // The slice's block X dimensions. Each block is 4x4 pixels. The slice's pixel resolution may or may not be a power of 2.
basisu::packed_uint<2> m_num_blocks_y; // The slice's block Y dimensions.
basisu::packed_uint<4> m_file_ofs; // Offset from the start of the file to the start of the slice's data
basisu::packed_uint<4> m_file_size; // The size of the compressed slice data in bytes
basisu::packed_uint<2> m_slice_data_crc16; // The CRC16 of the compressed slice data, for extra-paranoid use cases
};
// File header files
enum basis_header_flags
{
// Always set for ETC1S files. Not set for UASTC files.
cBASISHeaderFlagETC1S = 1,
// Set if the texture had to be Y flipped before encoding. The actual interpretation of this (is Y up or down?) is up to the user.
cBASISHeaderFlagYFlipped = 2,
// Set if any slices contain alpha (for ETC1S, if the odd slices contain alpha data)
cBASISHeaderFlagHasAlphaSlices = 4,
// For ETC1S files, this will be true if the file utilizes a codebook from another .basis file.
cBASISHeaderFlagUsesGlobalCodebook = 8,
// Set if the texture data is sRGB, otherwise it's linear.
// In reality, we have no idea if the texture data is actually linear or sRGB. This is the m_perceptual parameter passed to the compressor.
cBASISHeaderFlagSRGB = 16,
};
// The image type field attempts to describe how to interpret the image data in a Basis file.
// The encoder library doesn't really do anything special or different with these texture types, this is mostly here for the benefit of the user.
// We do make sure the various constraints are followed (2DArray/cubemap/videoframes/volume implies that each image has the same resolution and # of mipmap levels, etc., cubemap implies that the # of image slices is a multiple of 6)
enum basis_texture_type
{
cBASISTexType2D = 0, // An arbitrary array of 2D RGB or RGBA images with optional mipmaps, array size = # images, each image may have a different resolution and # of mipmap levels
cBASISTexType2DArray = 1, // An array of 2D RGB or RGBA images with optional mipmaps, array size = # images, each image has the same resolution and mipmap levels
cBASISTexTypeCubemapArray = 2, // an array of cubemap levels, total # of images must be divisable by 6, in X+, X-, Y+, Y-, Z+, Z- order, with optional mipmaps
cBASISTexTypeVideoFrames = 3, // An array of 2D video frames, with optional mipmaps, # frames = # images, each image has the same resolution and # of mipmap levels
cBASISTexTypeVolume = 4, // A 3D texture with optional mipmaps, Z dimension = # images, each image has the same resolution and # of mipmap levels
cBASISTexTypeTotal
};
enum
{
cBASISMaxUSPerFrame = 0xFFFFFF
};
enum class basis_tex_format
{
cETC1S = 0,
cUASTC4x4 = 1
};
struct basis_file_header
{
enum
{
cBASISSigValue = ('B' << 8) | 's',
cBASISFirstVersion = 0x10
};
basisu::packed_uint<2> m_sig; // 2 byte file signature
basisu::packed_uint<2> m_ver; // Baseline file version
basisu::packed_uint<2> m_header_size; // Header size in bytes, sizeof(basis_file_header)
basisu::packed_uint<2> m_header_crc16; // CRC16 of the remaining header data
basisu::packed_uint<4> m_data_size; // The total size of all data after the header
basisu::packed_uint<2> m_data_crc16; // The CRC16 of all data after the header
basisu::packed_uint<3> m_total_slices; // The total # of compressed slices (1 slice per image, or 2 for alpha .basis files)
basisu::packed_uint<3> m_total_images; // The total # of images
basisu::packed_uint<1> m_tex_format; // enum basis_tex_format
basisu::packed_uint<2> m_flags; // enum basist::header_flags
basisu::packed_uint<1> m_tex_type; // enum basist::basis_texture_type
basisu::packed_uint<3> m_us_per_frame; // Framerate of video, in microseconds per frame
basisu::packed_uint<4> m_reserved; // For future use
basisu::packed_uint<4> m_userdata0; // For client use
basisu::packed_uint<4> m_userdata1; // For client use
basisu::packed_uint<2> m_total_endpoints; // The number of endpoints in the endpoint codebook
basisu::packed_uint<4> m_endpoint_cb_file_ofs; // The compressed endpoint codebook's file offset relative to the start of the file
basisu::packed_uint<3> m_endpoint_cb_file_size; // The compressed endpoint codebook's size in bytes
basisu::packed_uint<2> m_total_selectors; // The number of selectors in the endpoint codebook
basisu::packed_uint<4> m_selector_cb_file_ofs; // The compressed selectors codebook's file offset relative to the start of the file
basisu::packed_uint<3> m_selector_cb_file_size; // The compressed selector codebook's size in bytes
basisu::packed_uint<4> m_tables_file_ofs; // The file offset of the compressed Huffman codelength tables, for decompressing slices
basisu::packed_uint<4> m_tables_file_size; // The file size in bytes of the compressed huffman codelength tables
basisu::packed_uint<4> m_slice_desc_file_ofs; // The file offset to the slice description array, usually follows the header
basisu::packed_uint<4> m_extended_file_ofs; // The file offset of the "extended" header and compressed data, for future use
basisu::packed_uint<4> m_extended_file_size; // The file size in bytes of the "extended" header and compressed data, for future use
};
#pragma pack (pop)
} // namespace basist
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_containers.h | // basisu_containers.h
#pragma once
#include <stdlib.h>
#include <stdio.h>
#include <stdint.h>
#include <assert.h>
#include <algorithm>
#if defined(__linux__) && !defined(ANDROID)
// Only for malloc_usable_size() in basisu_containers_impl.h
#include <malloc.h>
#define HAS_MALLOC_USABLE_SIZE 1
#endif
// Set to 1 to always check vector operator[], front(), and back() even in release.
#define BASISU_VECTOR_FORCE_CHECKING 0
// If 1, the vector container will not query the CRT to get the size of resized memory blocks.
#define BASISU_VECTOR_DETERMINISTIC 1
#ifdef _MSC_VER
#define BASISU_FORCE_INLINE __forceinline
#else
#define BASISU_FORCE_INLINE inline
#endif
namespace basisu
{
enum { cInvalidIndex = -1 };
namespace helpers
{
inline bool is_power_of_2(uint32_t x) { return x && ((x & (x - 1U)) == 0U); }
inline bool is_power_of_2(uint64_t x) { return x && ((x & (x - 1U)) == 0U); }
template<class T> const T& minimum(const T& a, const T& b) { return (b < a) ? b : a; }
template<class T> const T& maximum(const T& a, const T& b) { return (a < b) ? b : a; }
inline uint32_t floor_log2i(uint32_t v)
{
uint32_t l = 0;
while (v > 1U)
{
v >>= 1;
l++;
}
return l;
}
inline uint32_t next_pow2(uint32_t val)
{
val--;
val |= val >> 16;
val |= val >> 8;
val |= val >> 4;
val |= val >> 2;
val |= val >> 1;
return val + 1;
}
inline uint64_t next_pow2(uint64_t val)
{
val--;
val |= val >> 32;
val |= val >> 16;
val |= val >> 8;
val |= val >> 4;
val |= val >> 2;
val |= val >> 1;
return val + 1;
}
} // namespace helpers
template <typename T>
inline T* construct(T* p)
{
return new (static_cast<void*>(p)) T;
}
template <typename T, typename U>
inline T* construct(T* p, const U& init)
{
return new (static_cast<void*>(p)) T(init);
}
template <typename T>
inline void construct_array(T* p, size_t n)
{
T* q = p + n;
for (; p != q; ++p)
new (static_cast<void*>(p)) T;
}
template <typename T, typename U>
inline void construct_array(T* p, size_t n, const U& init)
{
T* q = p + n;
for (; p != q; ++p)
new (static_cast<void*>(p)) T(init);
}
template <typename T>
inline void destruct(T* p)
{
(void)p;
p->~T();
}
template <typename T> inline void destruct_array(T* p, size_t n)
{
T* q = p + n;
for (; p != q; ++p)
p->~T();
}
template<typename T> struct int_traits { enum { cMin = INT32_MIN, cMax = INT32_MAX, cSigned = true }; };
template<> struct int_traits<int8_t> { enum { cMin = INT8_MIN, cMax = INT8_MAX, cSigned = true }; };
template<> struct int_traits<int16_t> { enum { cMin = INT16_MIN, cMax = INT16_MAX, cSigned = true }; };
template<> struct int_traits<int32_t> { enum { cMin = INT32_MIN, cMax = INT32_MAX, cSigned = true }; };
template<> struct int_traits<uint8_t> { enum { cMin = 0, cMax = UINT8_MAX, cSigned = false }; };
template<> struct int_traits<uint16_t> { enum { cMin = 0, cMax = UINT16_MAX, cSigned = false }; };
template<> struct int_traits<uint32_t> { enum { cMin = 0, cMax = UINT32_MAX, cSigned = false }; };
template<typename T>
struct scalar_type
{
enum { cFlag = false };
static inline void construct(T* p) { basisu::construct(p); }
static inline void construct(T* p, const T& init) { basisu::construct(p, init); }
static inline void construct_array(T* p, size_t n) { basisu::construct_array(p, n); }
static inline void destruct(T* p) { basisu::destruct(p); }
static inline void destruct_array(T* p, size_t n) { basisu::destruct_array(p, n); }
};
template<typename T> struct scalar_type<T*>
{
enum { cFlag = true };
static inline void construct(T** p) { memset(p, 0, sizeof(T*)); }
static inline void construct(T** p, T* init) { *p = init; }
static inline void construct_array(T** p, size_t n) { memset(p, 0, sizeof(T*) * n); }
static inline void destruct(T** p) { p; }
static inline void destruct_array(T** p, size_t n) { p, n; }
};
#define BASISU_DEFINE_BUILT_IN_TYPE(X) \
template<> struct scalar_type<X> { \
enum { cFlag = true }; \
static inline void construct(X* p) { memset(p, 0, sizeof(X)); } \
static inline void construct(X* p, const X& init) { memcpy(p, &init, sizeof(X)); } \
static inline void construct_array(X* p, size_t n) { memset(p, 0, sizeof(X) * n); } \
static inline void destruct(X* p) { p; } \
static inline void destruct_array(X* p, size_t n) { p, n; } };
BASISU_DEFINE_BUILT_IN_TYPE(bool)
BASISU_DEFINE_BUILT_IN_TYPE(char)
BASISU_DEFINE_BUILT_IN_TYPE(unsigned char)
BASISU_DEFINE_BUILT_IN_TYPE(short)
BASISU_DEFINE_BUILT_IN_TYPE(unsigned short)
BASISU_DEFINE_BUILT_IN_TYPE(int)
BASISU_DEFINE_BUILT_IN_TYPE(unsigned int)
BASISU_DEFINE_BUILT_IN_TYPE(long)
BASISU_DEFINE_BUILT_IN_TYPE(unsigned long)
#ifdef __GNUC__
BASISU_DEFINE_BUILT_IN_TYPE(long long)
BASISU_DEFINE_BUILT_IN_TYPE(unsigned long long)
#else
BASISU_DEFINE_BUILT_IN_TYPE(__int64)
BASISU_DEFINE_BUILT_IN_TYPE(unsigned __int64)
#endif
BASISU_DEFINE_BUILT_IN_TYPE(float)
BASISU_DEFINE_BUILT_IN_TYPE(double)
BASISU_DEFINE_BUILT_IN_TYPE(long double)
#undef BASISU_DEFINE_BUILT_IN_TYPE
template<typename T>
struct bitwise_movable { enum { cFlag = false }; };
#define BASISU_DEFINE_BITWISE_MOVABLE(Q) template<> struct bitwise_movable<Q> { enum { cFlag = true }; };
template<typename T>
struct bitwise_copyable { enum { cFlag = false }; };
#define BASISU_DEFINE_BITWISE_COPYABLE(Q) template<> struct bitwise_copyable<Q> { enum { cFlag = true }; };
#define BASISU_IS_POD(T) __is_pod(T)
#define BASISU_IS_SCALAR_TYPE(T) (scalar_type<T>::cFlag)
#if defined(__GNUC__) && __GNUC__<5
#define BASISU_IS_TRIVIALLY_COPYABLE(...) __has_trivial_copy(__VA_ARGS__)
#else
#define BASISU_IS_TRIVIALLY_COPYABLE(...) std::is_trivially_copyable<__VA_ARGS__>::value
#endif
// TODO: clean this up
#define BASISU_IS_BITWISE_COPYABLE(T) (BASISU_IS_SCALAR_TYPE(T) || BASISU_IS_POD(T) || BASISU_IS_TRIVIALLY_COPYABLE(T) || (bitwise_copyable<T>::cFlag))
#define BASISU_IS_BITWISE_COPYABLE_OR_MOVABLE(T) (BASISU_IS_BITWISE_COPYABLE(T) || (bitwise_movable<T>::cFlag))
#define BASISU_HAS_DESTRUCTOR(T) ((!scalar_type<T>::cFlag) && (!__is_pod(T)))
typedef char(&yes_t)[1];
typedef char(&no_t)[2];
template <class U> yes_t class_test(int U::*);
template <class U> no_t class_test(...);
template <class T> struct is_class
{
enum { value = (sizeof(class_test<T>(0)) == sizeof(yes_t)) };
};
template <typename T> struct is_pointer
{
enum { value = false };
};
template <typename T> struct is_pointer<T*>
{
enum { value = true };
};
struct empty_type { };
BASISU_DEFINE_BITWISE_COPYABLE(empty_type);
BASISU_DEFINE_BITWISE_MOVABLE(empty_type);
template<typename T> struct rel_ops
{
friend bool operator!=(const T& x, const T& y) { return (!(x == y)); }
friend bool operator> (const T& x, const T& y) { return (y < x); }
friend bool operator<=(const T& x, const T& y) { return (!(y < x)); }
friend bool operator>=(const T& x, const T& y) { return (!(x < y)); }
};
struct elemental_vector
{
void* m_p;
uint32_t m_size;
uint32_t m_capacity;
typedef void (*object_mover)(void* pDst, void* pSrc, uint32_t num);
bool increase_capacity(uint32_t min_new_capacity, bool grow_hint, uint32_t element_size, object_mover pRelocate, bool nofail);
};
template<typename T>
class vector : public rel_ops< vector<T> >
{
public:
typedef T* iterator;
typedef const T* const_iterator;
typedef T value_type;
typedef T& reference;
typedef const T& const_reference;
typedef T* pointer;
typedef const T* const_pointer;
inline vector() :
m_p(NULL),
m_size(0),
m_capacity(0)
{
}
inline vector(uint32_t n, const T& init) :
m_p(NULL),
m_size(0),
m_capacity(0)
{
increase_capacity(n, false);
construct_array(m_p, n, init);
m_size = n;
}
inline vector(const vector& other) :
m_p(NULL),
m_size(0),
m_capacity(0)
{
increase_capacity(other.m_size, false);
m_size = other.m_size;
if (BASISU_IS_BITWISE_COPYABLE(T))
{
if ((m_p) && (other.m_p))
memcpy(m_p, other.m_p, m_size * sizeof(T));
}
else
{
T* pDst = m_p;
const T* pSrc = other.m_p;
for (uint32_t i = m_size; i > 0; i--)
construct(pDst++, *pSrc++);
}
}
inline explicit vector(size_t size) :
m_p(NULL),
m_size(0),
m_capacity(0)
{
resize(size);
}
inline ~vector()
{
if (m_p)
{
scalar_type<T>::destruct_array(m_p, m_size);
free(m_p);
}
}
inline vector& operator= (const vector& other)
{
if (this == &other)
return *this;
if (m_capacity >= other.m_size)
resize(0);
else
{
clear();
increase_capacity(other.m_size, false);
}
if (BASISU_IS_BITWISE_COPYABLE(T))
{
if ((m_p) && (other.m_p))
memcpy(m_p, other.m_p, other.m_size * sizeof(T));
}
else
{
T* pDst = m_p;
const T* pSrc = other.m_p;
for (uint32_t i = other.m_size; i > 0; i--)
construct(pDst++, *pSrc++);
}
m_size = other.m_size;
return *this;
}
BASISU_FORCE_INLINE const T* begin() const { return m_p; }
BASISU_FORCE_INLINE T* begin() { return m_p; }
BASISU_FORCE_INLINE const T* end() const { return m_p + m_size; }
BASISU_FORCE_INLINE T* end() { return m_p + m_size; }
BASISU_FORCE_INLINE bool empty() const { return !m_size; }
BASISU_FORCE_INLINE uint32_t size() const { return m_size; }
BASISU_FORCE_INLINE uint32_t size_in_bytes() const { return m_size * sizeof(T); }
BASISU_FORCE_INLINE uint32_t capacity() const { return m_capacity; }
// operator[] will assert on out of range indices, but in final builds there is (and will never be) any range checking on this method.
//BASISU_FORCE_INLINE const T& operator[] (uint32_t i) const { assert(i < m_size); return m_p[i]; }
//BASISU_FORCE_INLINE T& operator[] (uint32_t i) { assert(i < m_size); return m_p[i]; }
#if !BASISU_VECTOR_FORCE_CHECKING
BASISU_FORCE_INLINE const T& operator[] (size_t i) const { assert(i < m_size); return m_p[i]; }
BASISU_FORCE_INLINE T& operator[] (size_t i) { assert(i < m_size); return m_p[i]; }
#else
BASISU_FORCE_INLINE const T& operator[] (size_t i) const
{
if (i >= m_size)
{
fprintf(stderr, "operator[] invalid index: %u, max entries %u, type size %u\n", (uint32_t)i, m_size, (uint32_t)sizeof(T));
abort();
}
return m_p[i];
}
BASISU_FORCE_INLINE T& operator[] (size_t i)
{
if (i >= m_size)
{
fprintf(stderr, "operator[] invalid index: %u, max entries %u, type size %u\n", (uint32_t)i, m_size, (uint32_t)sizeof(T));
abort();
}
return m_p[i];
}
#endif
// at() always includes range checking, even in final builds, unlike operator [].
// The first element is returned if the index is out of range.
BASISU_FORCE_INLINE const T& at(size_t i) const { assert(i < m_size); return (i >= m_size) ? m_p[0] : m_p[i]; }
BASISU_FORCE_INLINE T& at(size_t i) { assert(i < m_size); return (i >= m_size) ? m_p[0] : m_p[i]; }
#if !BASISU_VECTOR_FORCE_CHECKING
BASISU_FORCE_INLINE const T& front() const { assert(m_size); return m_p[0]; }
BASISU_FORCE_INLINE T& front() { assert(m_size); return m_p[0]; }
BASISU_FORCE_INLINE const T& back() const { assert(m_size); return m_p[m_size - 1]; }
BASISU_FORCE_INLINE T& back() { assert(m_size); return m_p[m_size - 1]; }
#else
BASISU_FORCE_INLINE const T& front() const
{
if (!m_size)
{
fprintf(stderr, "front: vector is empty, type size %u\n", (uint32_t)sizeof(T));
abort();
}
return m_p[0];
}
BASISU_FORCE_INLINE T& front()
{
if (!m_size)
{
fprintf(stderr, "front: vector is empty, type size %u\n", (uint32_t)sizeof(T));
abort();
}
return m_p[0];
}
BASISU_FORCE_INLINE const T& back() const
{
if(!m_size)
{
fprintf(stderr, "back: vector is empty, type size %u\n", (uint32_t)sizeof(T));
abort();
}
return m_p[m_size - 1];
}
BASISU_FORCE_INLINE T& back()
{
if (!m_size)
{
fprintf(stderr, "back: vector is empty, type size %u\n", (uint32_t)sizeof(T));
abort();
}
return m_p[m_size - 1];
}
#endif
BASISU_FORCE_INLINE const T* get_ptr() const { return m_p; }
BASISU_FORCE_INLINE T* get_ptr() { return m_p; }
BASISU_FORCE_INLINE const T* data() const { return m_p; }
BASISU_FORCE_INLINE T* data() { return m_p; }
// clear() sets the container to empty, then frees the allocated block.
inline void clear()
{
if (m_p)
{
scalar_type<T>::destruct_array(m_p, m_size);
free(m_p);
m_p = NULL;
m_size = 0;
m_capacity = 0;
}
}
inline void clear_no_destruction()
{
if (m_p)
{
free(m_p);
m_p = NULL;
m_size = 0;
m_capacity = 0;
}
}
inline void reserve(size_t new_capacity_size_t)
{
if (new_capacity_size_t > UINT32_MAX)
{
assert(0);
return;
}
uint32_t new_capacity = (uint32_t)new_capacity_size_t;
if (new_capacity > m_capacity)
increase_capacity(new_capacity, false);
else if (new_capacity < m_capacity)
{
// Must work around the lack of a "decrease_capacity()" method.
// This case is rare enough in practice that it's probably not worth implementing an optimized in-place resize.
vector tmp;
tmp.increase_capacity(helpers::maximum(m_size, new_capacity), false);
tmp = *this;
swap(tmp);
}
}
inline bool try_reserve(size_t new_capacity_size_t)
{
if (new_capacity_size_t > UINT32_MAX)
{
assert(0);
return false;
}
uint32_t new_capacity = (uint32_t)new_capacity_size_t;
if (new_capacity > m_capacity)
{
if (!increase_capacity(new_capacity, false))
return false;
}
else if (new_capacity < m_capacity)
{
// Must work around the lack of a "decrease_capacity()" method.
// This case is rare enough in practice that it's probably not worth implementing an optimized in-place resize.
vector tmp;
tmp.increase_capacity(helpers::maximum(m_size, new_capacity), false);
tmp = *this;
swap(tmp);
}
return true;
}
// resize(0) sets the container to empty, but does not free the allocated block.
inline void resize(size_t new_size_size_t, bool grow_hint = false)
{
if (new_size_size_t > UINT32_MAX)
{
assert(0);
return;
}
uint32_t new_size = (uint32_t)new_size_size_t;
if (m_size != new_size)
{
if (new_size < m_size)
scalar_type<T>::destruct_array(m_p + new_size, m_size - new_size);
else
{
if (new_size > m_capacity)
increase_capacity(new_size, (new_size == (m_size + 1)) || grow_hint);
scalar_type<T>::construct_array(m_p + m_size, new_size - m_size);
}
m_size = new_size;
}
}
inline bool try_resize(size_t new_size_size_t, bool grow_hint = false)
{
if (new_size_size_t > UINT32_MAX)
{
assert(0);
return false;
}
uint32_t new_size = (uint32_t)new_size_size_t;
if (m_size != new_size)
{
if (new_size < m_size)
scalar_type<T>::destruct_array(m_p + new_size, m_size - new_size);
else
{
if (new_size > m_capacity)
{
if (!increase_capacity(new_size, (new_size == (m_size + 1)) || grow_hint, true))
return false;
}
scalar_type<T>::construct_array(m_p + m_size, new_size - m_size);
}
m_size = new_size;
}
return true;
}
// If size >= capacity/2, reset() sets the container's size to 0 but doesn't free the allocated block (because the container may be similarly loaded in the future).
// Otherwise it blows away the allocated block. See http://www.codercorner.com/blog/?p=494
inline void reset()
{
if (m_size >= (m_capacity >> 1))
resize(0);
else
clear();
}
inline T* enlarge(uint32_t i)
{
uint32_t cur_size = m_size;
resize(cur_size + i, true);
return get_ptr() + cur_size;
}
inline T* try_enlarge(uint32_t i)
{
uint32_t cur_size = m_size;
if (!try_resize(cur_size + i, true))
return NULL;
return get_ptr() + cur_size;
}
BASISU_FORCE_INLINE void push_back(const T& obj)
{
assert(!m_p || (&obj < m_p) || (&obj >= (m_p + m_size)));
if (m_size >= m_capacity)
increase_capacity(m_size + 1, true);
scalar_type<T>::construct(m_p + m_size, obj);
m_size++;
}
inline bool try_push_back(const T& obj)
{
assert(!m_p || (&obj < m_p) || (&obj >= (m_p + m_size)));
if (m_size >= m_capacity)
{
if (!increase_capacity(m_size + 1, true, true))
return false;
}
scalar_type<T>::construct(m_p + m_size, obj);
m_size++;
return true;
}
inline void push_back_value(T obj)
{
if (m_size >= m_capacity)
increase_capacity(m_size + 1, true);
scalar_type<T>::construct(m_p + m_size, obj);
m_size++;
}
inline void pop_back()
{
assert(m_size);
if (m_size)
{
m_size--;
scalar_type<T>::destruct(&m_p[m_size]);
}
}
inline void insert(uint32_t index, const T* p, uint32_t n)
{
assert(index <= m_size);
if (!n)
return;
const uint32_t orig_size = m_size;
resize(m_size + n, true);
const uint32_t num_to_move = orig_size - index;
if (BASISU_IS_BITWISE_COPYABLE(T))
{
// This overwrites the destination object bits, but bitwise copyable means we don't need to worry about destruction.
memmove(m_p + index + n, m_p + index, sizeof(T) * num_to_move);
}
else
{
const T* pSrc = m_p + orig_size - 1;
T* pDst = const_cast<T*>(pSrc) + n;
for (uint32_t i = 0; i < num_to_move; i++)
{
assert((pDst - m_p) < (int)m_size);
*pDst-- = *pSrc--;
}
}
T* pDst = m_p + index;
if (BASISU_IS_BITWISE_COPYABLE(T))
{
// This copies in the new bits, overwriting the existing objects, which is OK for copyable types that don't need destruction.
memcpy(pDst, p, sizeof(T) * n);
}
else
{
for (uint32_t i = 0; i < n; i++)
{
assert((pDst - m_p) < (int)m_size);
*pDst++ = *p++;
}
}
}
inline void insert(T* p, const T& obj)
{
int64_t ofs = p - begin();
if ((ofs < 0) || (ofs > UINT32_MAX))
{
assert(0);
return;
}
insert((uint32_t)ofs, &obj, 1);
}
// push_front() isn't going to be very fast - it's only here for usability.
inline void push_front(const T& obj)
{
insert(0, &obj, 1);
}
vector& append(const vector& other)
{
if (other.m_size)
insert(m_size, &other[0], other.m_size);
return *this;
}
vector& append(const T* p, uint32_t n)
{
if (n)
insert(m_size, p, n);
return *this;
}
inline void erase(uint32_t start, uint32_t n)
{
assert((start + n) <= m_size);
if ((start + n) > m_size)
return;
if (!n)
return;
const uint32_t num_to_move = m_size - (start + n);
T* pDst = m_p + start;
const T* pSrc = m_p + start + n;
if (BASISU_IS_BITWISE_COPYABLE_OR_MOVABLE(T))
{
// This test is overly cautious.
if ((!BASISU_IS_BITWISE_COPYABLE(T)) || (BASISU_HAS_DESTRUCTOR(T)))
{
// Type has been marked explictly as bitwise movable, which means we can move them around but they may need to be destructed.
// First destroy the erased objects.
scalar_type<T>::destruct_array(pDst, n);
}
// Copy "down" the objects to preserve, filling in the empty slots.
memmove(pDst, pSrc, num_to_move * sizeof(T));
}
else
{
// Type is not bitwise copyable or movable.
// Move them down one at a time by using the equals operator, and destroying anything that's left over at the end.
T* pDst_end = pDst + num_to_move;
while (pDst != pDst_end)
*pDst++ = *pSrc++;
scalar_type<T>::destruct_array(pDst_end, n);
}
m_size -= n;
}
inline void erase(uint32_t index)
{
erase(index, 1);
}
inline void erase(T* p)
{
assert((p >= m_p) && (p < (m_p + m_size)));
erase(static_cast<uint32_t>(p - m_p));
}
inline void erase(T *pFirst, T *pEnd)
{
assert(pFirst <= pEnd);
assert(pFirst >= begin() && pFirst <= end());
assert(pEnd >= begin() && pEnd <= end());
int64_t ofs = pFirst - begin();
if ((ofs < 0) || (ofs > UINT32_MAX))
{
assert(0);
return;
}
int64_t n = pEnd - pFirst;
if ((n < 0) || (n > UINT32_MAX))
{
assert(0);
return;
}
erase((uint32_t)ofs, (uint32_t)n);
}
void erase_unordered(uint32_t index)
{
assert(index < m_size);
if ((index + 1) < m_size)
(*this)[index] = back();
pop_back();
}
inline bool operator== (const vector& rhs) const
{
if (m_size != rhs.m_size)
return false;
else if (m_size)
{
if (scalar_type<T>::cFlag)
return memcmp(m_p, rhs.m_p, sizeof(T) * m_size) == 0;
else
{
const T* pSrc = m_p;
const T* pDst = rhs.m_p;
for (uint32_t i = m_size; i; i--)
if (!(*pSrc++ == *pDst++))
return false;
}
}
return true;
}
inline bool operator< (const vector& rhs) const
{
const uint32_t min_size = helpers::minimum(m_size, rhs.m_size);
const T* pSrc = m_p;
const T* pSrc_end = m_p + min_size;
const T* pDst = rhs.m_p;
while ((pSrc < pSrc_end) && (*pSrc == *pDst))
{
pSrc++;
pDst++;
}
if (pSrc < pSrc_end)
return *pSrc < *pDst;
return m_size < rhs.m_size;
}
inline void swap(vector& other)
{
std::swap(m_p, other.m_p);
std::swap(m_size, other.m_size);
std::swap(m_capacity, other.m_capacity);
}
inline void sort()
{
std::sort(begin(), end());
}
inline void unique()
{
if (!empty())
{
sort();
resize(std::unique(begin(), end()) - begin());
}
}
inline void reverse()
{
uint32_t j = m_size >> 1;
for (uint32_t i = 0; i < j; i++)
std::swap(m_p[i], m_p[m_size - 1 - i]);
}
inline int find(const T& key) const
{
const T* p = m_p;
const T* p_end = m_p + m_size;
uint32_t index = 0;
while (p != p_end)
{
if (key == *p)
return index;
p++;
index++;
}
return cInvalidIndex;
}
inline int find_sorted(const T& key) const
{
if (m_size)
{
// Uniform binary search - Knuth Algorithm 6.2.1 U, unrolled twice.
int i = ((m_size + 1) >> 1) - 1;
int m = m_size;
for (; ; )
{
assert(i >= 0 && i < (int)m_size);
const T* pKey_i = m_p + i;
int cmp = key < *pKey_i;
#if defined(_DEBUG) || defined(DEBUG)
int cmp2 = *pKey_i < key;
assert((cmp != cmp2) || (key == *pKey_i));
#endif
if ((!cmp) && (key == *pKey_i)) return i;
m >>= 1;
if (!m) break;
cmp = -cmp;
i += (((m + 1) >> 1) ^ cmp) - cmp;
if (i < 0)
break;
assert(i >= 0 && i < (int)m_size);
pKey_i = m_p + i;
cmp = key < *pKey_i;
#if defined(_DEBUG) || defined(DEBUG)
cmp2 = *pKey_i < key;
assert((cmp != cmp2) || (key == *pKey_i));
#endif
if ((!cmp) && (key == *pKey_i)) return i;
m >>= 1;
if (!m) break;
cmp = -cmp;
i += (((m + 1) >> 1) ^ cmp) - cmp;
if (i < 0)
break;
}
}
return cInvalidIndex;
}
template<typename Q>
inline int find_sorted(const T& key, Q less_than) const
{
if (m_size)
{
// Uniform binary search - Knuth Algorithm 6.2.1 U, unrolled twice.
int i = ((m_size + 1) >> 1) - 1;
int m = m_size;
for (; ; )
{
assert(i >= 0 && i < (int)m_size);
const T* pKey_i = m_p + i;
int cmp = less_than(key, *pKey_i);
if ((!cmp) && (!less_than(*pKey_i, key))) return i;
m >>= 1;
if (!m) break;
cmp = -cmp;
i += (((m + 1) >> 1) ^ cmp) - cmp;
if (i < 0)
break;
assert(i >= 0 && i < (int)m_size);
pKey_i = m_p + i;
cmp = less_than(key, *pKey_i);
if ((!cmp) && (!less_than(*pKey_i, key))) return i;
m >>= 1;
if (!m) break;
cmp = -cmp;
i += (((m + 1) >> 1) ^ cmp) - cmp;
if (i < 0)
break;
}
}
return cInvalidIndex;
}
inline uint32_t count_occurences(const T& key) const
{
uint32_t c = 0;
const T* p = m_p;
const T* p_end = m_p + m_size;
while (p != p_end)
{
if (key == *p)
c++;
p++;
}
return c;
}
inline void set_all(const T& o)
{
if ((sizeof(T) == 1) && (scalar_type<T>::cFlag))
memset(m_p, *reinterpret_cast<const uint8_t*>(&o), m_size);
else
{
T* pDst = m_p;
T* pDst_end = pDst + m_size;
while (pDst != pDst_end)
*pDst++ = o;
}
}
// Caller assumes ownership of the heap block associated with the container. Container is cleared.
inline void* assume_ownership()
{
T* p = m_p;
m_p = NULL;
m_size = 0;
m_capacity = 0;
return p;
}
// Caller is granting ownership of the indicated heap block.
// Block must have size constructed elements, and have enough room for capacity elements.
// The block must have been allocated using malloc().
// Important: This method is used in Basis Universal. If you change how this container allocates memory, you'll need to change any users of this method.
inline bool grant_ownership(T* p, uint32_t size, uint32_t capacity)
{
// To to prevent the caller from obviously shooting themselves in the foot.
if (((p + capacity) > m_p) && (p < (m_p + m_capacity)))
{
// Can grant ownership of a block inside the container itself!
assert(0);
return false;
}
if (size > capacity)
{
assert(0);
return false;
}
if (!p)
{
if (capacity)
{
assert(0);
return false;
}
}
else if (!capacity)
{
assert(0);
return false;
}
clear();
m_p = p;
m_size = size;
m_capacity = capacity;
return true;
}
private:
T* m_p;
uint32_t m_size;
uint32_t m_capacity;
template<typename Q> struct is_vector { enum { cFlag = false }; };
template<typename Q> struct is_vector< vector<Q> > { enum { cFlag = true }; };
static void object_mover(void* pDst_void, void* pSrc_void, uint32_t num)
{
T* pSrc = static_cast<T*>(pSrc_void);
T* const pSrc_end = pSrc + num;
T* pDst = static_cast<T*>(pDst_void);
while (pSrc != pSrc_end)
{
// placement new
new (static_cast<void*>(pDst)) T(*pSrc);
pSrc->~T();
++pSrc;
++pDst;
}
}
inline bool increase_capacity(uint32_t min_new_capacity, bool grow_hint, bool nofail = false)
{
return reinterpret_cast<elemental_vector*>(this)->increase_capacity(
min_new_capacity, grow_hint, sizeof(T),
(BASISU_IS_BITWISE_COPYABLE_OR_MOVABLE(T) || (is_vector<T>::cFlag)) ? NULL : object_mover, nofail);
}
};
template<typename T> struct bitwise_movable< vector<T> > { enum { cFlag = true }; };
// Hash map
template <typename T>
struct hasher
{
inline size_t operator() (const T& key) const { return static_cast<size_t>(key); }
};
template <typename T>
struct equal_to
{
inline bool operator()(const T& a, const T& b) const { return a == b; }
};
// Important: The Hasher and Equals objects must be bitwise movable!
template<typename Key, typename Value = empty_type, typename Hasher = hasher<Key>, typename Equals = equal_to<Key> >
class hash_map
{
public:
class iterator;
class const_iterator;
private:
friend class iterator;
friend class const_iterator;
enum state
{
cStateInvalid = 0,
cStateValid = 1
};
enum
{
cMinHashSize = 4U
};
public:
typedef hash_map<Key, Value, Hasher, Equals> hash_map_type;
typedef std::pair<Key, Value> value_type;
typedef Key key_type;
typedef Value referent_type;
typedef Hasher hasher_type;
typedef Equals equals_type;
hash_map() :
m_hash_shift(32), m_num_valid(0), m_grow_threshold(0)
{
}
hash_map(const hash_map& other) :
m_values(other.m_values),
m_hash_shift(other.m_hash_shift),
m_hasher(other.m_hasher),
m_equals(other.m_equals),
m_num_valid(other.m_num_valid),
m_grow_threshold(other.m_grow_threshold)
{
}
hash_map& operator= (const hash_map& other)
{
if (this == &other)
return *this;
clear();
m_values = other.m_values;
m_hash_shift = other.m_hash_shift;
m_num_valid = other.m_num_valid;
m_grow_threshold = other.m_grow_threshold;
m_hasher = other.m_hasher;
m_equals = other.m_equals;
return *this;
}
inline ~hash_map()
{
clear();
}
const Equals& get_equals() const { return m_equals; }
Equals& get_equals() { return m_equals; }
void set_equals(const Equals& equals) { m_equals = equals; }
const Hasher& get_hasher() const { return m_hasher; }
Hasher& get_hasher() { return m_hasher; }
void set_hasher(const Hasher& hasher) { m_hasher = hasher; }
inline void clear()
{
if (!m_values.empty())
{
if (BASISU_HAS_DESTRUCTOR(Key) || BASISU_HAS_DESTRUCTOR(Value))
{
node* p = &get_node(0);
node* p_end = p + m_values.size();
uint32_t num_remaining = m_num_valid;
while (p != p_end)
{
if (p->state)
{
destruct_value_type(p);
num_remaining--;
if (!num_remaining)
break;
}
p++;
}
}
m_values.clear_no_destruction();
m_hash_shift = 32;
m_num_valid = 0;
m_grow_threshold = 0;
}
}
inline void reset()
{
if (!m_num_valid)
return;
if (BASISU_HAS_DESTRUCTOR(Key) || BASISU_HAS_DESTRUCTOR(Value))
{
node* p = &get_node(0);
node* p_end = p + m_values.size();
uint32_t num_remaining = m_num_valid;
while (p != p_end)
{
if (p->state)
{
destruct_value_type(p);
p->state = cStateInvalid;
num_remaining--;
if (!num_remaining)
break;
}
p++;
}
}
else if (sizeof(node) <= 32)
{
memset(&m_values[0], 0, m_values.size_in_bytes());
}
else
{
node* p = &get_node(0);
node* p_end = p + m_values.size();
uint32_t num_remaining = m_num_valid;
while (p != p_end)
{
if (p->state)
{
p->state = cStateInvalid;
num_remaining--;
if (!num_remaining)
break;
}
p++;
}
}
m_num_valid = 0;
}
inline uint32_t size()
{
return m_num_valid;
}
inline uint32_t get_table_size()
{
return m_values.size();
}
inline bool empty()
{
return !m_num_valid;
}
inline void reserve(uint32_t new_capacity)
{
uint64_t new_hash_size = helpers::maximum(1U, new_capacity);
new_hash_size = new_hash_size * 2ULL;
if (!helpers::is_power_of_2(new_hash_size))
new_hash_size = helpers::next_pow2(new_hash_size);
new_hash_size = helpers::maximum<uint64_t>(cMinHashSize, new_hash_size);
new_hash_size = helpers::minimum<uint64_t>(0x80000000UL, new_hash_size);
if (new_hash_size > m_values.size())
rehash((uint32_t)new_hash_size);
}
class iterator
{
friend class hash_map<Key, Value, Hasher, Equals>;
friend class hash_map<Key, Value, Hasher, Equals>::const_iterator;
public:
inline iterator() : m_pTable(NULL), m_index(0) { }
inline iterator(hash_map_type& table, uint32_t index) : m_pTable(&table), m_index(index) { }
inline iterator(const iterator& other) : m_pTable(other.m_pTable), m_index(other.m_index) { }
inline iterator& operator= (const iterator& other)
{
m_pTable = other.m_pTable;
m_index = other.m_index;
return *this;
}
// post-increment
inline iterator operator++(int)
{
iterator result(*this);
++*this;
return result;
}
// pre-increment
inline iterator& operator++()
{
probe();
return *this;
}
inline value_type& operator*() const { return *get_cur(); }
inline value_type* operator->() const { return get_cur(); }
inline bool operator == (const iterator& b) const { return (m_pTable == b.m_pTable) && (m_index == b.m_index); }
inline bool operator != (const iterator& b) const { return !(*this == b); }
inline bool operator == (const const_iterator& b) const { return (m_pTable == b.m_pTable) && (m_index == b.m_index); }
inline bool operator != (const const_iterator& b) const { return !(*this == b); }
private:
hash_map_type* m_pTable;
uint32_t m_index;
inline value_type* get_cur() const
{
assert(m_pTable && (m_index < m_pTable->m_values.size()));
assert(m_pTable->get_node_state(m_index) == cStateValid);
return &m_pTable->get_node(m_index);
}
inline void probe()
{
assert(m_pTable);
m_index = m_pTable->find_next(m_index);
}
};
class const_iterator
{
friend class hash_map<Key, Value, Hasher, Equals>;
friend class hash_map<Key, Value, Hasher, Equals>::iterator;
public:
inline const_iterator() : m_pTable(NULL), m_index(0) { }
inline const_iterator(const hash_map_type& table, uint32_t index) : m_pTable(&table), m_index(index) { }
inline const_iterator(const iterator& other) : m_pTable(other.m_pTable), m_index(other.m_index) { }
inline const_iterator(const const_iterator& other) : m_pTable(other.m_pTable), m_index(other.m_index) { }
inline const_iterator& operator= (const const_iterator& other)
{
m_pTable = other.m_pTable;
m_index = other.m_index;
return *this;
}
inline const_iterator& operator= (const iterator& other)
{
m_pTable = other.m_pTable;
m_index = other.m_index;
return *this;
}
// post-increment
inline const_iterator operator++(int)
{
const_iterator result(*this);
++*this;
return result;
}
// pre-increment
inline const_iterator& operator++()
{
probe();
return *this;
}
inline const value_type& operator*() const { return *get_cur(); }
inline const value_type* operator->() const { return get_cur(); }
inline bool operator == (const const_iterator& b) const { return (m_pTable == b.m_pTable) && (m_index == b.m_index); }
inline bool operator != (const const_iterator& b) const { return !(*this == b); }
inline bool operator == (const iterator& b) const { return (m_pTable == b.m_pTable) && (m_index == b.m_index); }
inline bool operator != (const iterator& b) const { return !(*this == b); }
private:
const hash_map_type* m_pTable;
uint32_t m_index;
inline const value_type* get_cur() const
{
assert(m_pTable && (m_index < m_pTable->m_values.size()));
assert(m_pTable->get_node_state(m_index) == cStateValid);
return &m_pTable->get_node(m_index);
}
inline void probe()
{
assert(m_pTable);
m_index = m_pTable->find_next(m_index);
}
};
inline const_iterator begin() const
{
if (!m_num_valid)
return end();
return const_iterator(*this, find_next(UINT32_MAX));
}
inline const_iterator end() const
{
return const_iterator(*this, m_values.size());
}
inline iterator begin()
{
if (!m_num_valid)
return end();
return iterator(*this, find_next(UINT32_MAX));
}
inline iterator end()
{
return iterator(*this, m_values.size());
}
// insert_result.first will always point to inserted key/value (or the already existing key/value).
// insert_resutt.second will be true if a new key/value was inserted, or false if the key already existed (in which case first will point to the already existing value).
typedef std::pair<iterator, bool> insert_result;
inline insert_result insert(const Key& k, const Value& v = Value())
{
insert_result result;
if (!insert_no_grow(result, k, v))
{
grow();
// This must succeed.
if (!insert_no_grow(result, k, v))
{
fprintf(stderr, "insert() failed");
abort();
}
}
return result;
}
inline insert_result insert(const value_type& v)
{
return insert(v.first, v.second);
}
inline const_iterator find(const Key& k) const
{
return const_iterator(*this, find_index(k));
}
inline iterator find(const Key& k)
{
return iterator(*this, find_index(k));
}
inline bool erase(const Key& k)
{
uint32_t i = find_index(k);
if (i >= m_values.size())
return false;
node* pDst = &get_node(i);
destruct_value_type(pDst);
pDst->state = cStateInvalid;
m_num_valid--;
for (; ; )
{
uint32_t r, j = i;
node* pSrc = pDst;
do
{
if (!i)
{
i = m_values.size() - 1;
pSrc = &get_node(i);
}
else
{
i--;
pSrc--;
}
if (!pSrc->state)
return true;
r = hash_key(pSrc->first);
} while ((i <= r && r < j) || (r < j && j < i) || (j < i && i <= r));
move_node(pDst, pSrc);
pDst = pSrc;
}
}
inline void swap(hash_map_type& other)
{
m_values.swap(other.m_values);
std::swap(m_hash_shift, other.m_hash_shift);
std::swap(m_num_valid, other.m_num_valid);
std::swap(m_grow_threshold, other.m_grow_threshold);
std::swap(m_hasher, other.m_hasher);
std::swap(m_equals, other.m_equals);
}
private:
struct node : public value_type
{
uint8_t state;
};
static inline void construct_value_type(value_type* pDst, const Key& k, const Value& v)
{
if (BASISU_IS_BITWISE_COPYABLE(Key))
memcpy(&pDst->first, &k, sizeof(Key));
else
scalar_type<Key>::construct(&pDst->first, k);
if (BASISU_IS_BITWISE_COPYABLE(Value))
memcpy(&pDst->second, &v, sizeof(Value));
else
scalar_type<Value>::construct(&pDst->second, v);
}
static inline void construct_value_type(value_type* pDst, const value_type* pSrc)
{
if ((BASISU_IS_BITWISE_COPYABLE(Key)) && (BASISU_IS_BITWISE_COPYABLE(Value)))
{
memcpy(pDst, pSrc, sizeof(value_type));
}
else
{
if (BASISU_IS_BITWISE_COPYABLE(Key))
memcpy(&pDst->first, &pSrc->first, sizeof(Key));
else
scalar_type<Key>::construct(&pDst->first, pSrc->first);
if (BASISU_IS_BITWISE_COPYABLE(Value))
memcpy(&pDst->second, &pSrc->second, sizeof(Value));
else
scalar_type<Value>::construct(&pDst->second, pSrc->second);
}
}
static inline void destruct_value_type(value_type* p)
{
scalar_type<Key>::destruct(&p->first);
scalar_type<Value>::destruct(&p->second);
}
// Moves *pSrc to *pDst efficiently.
// pDst should NOT be constructed on entry.
static inline void move_node(node* pDst, node* pSrc, bool update_src_state = true)
{
assert(!pDst->state);
if (BASISU_IS_BITWISE_COPYABLE_OR_MOVABLE(Key) && BASISU_IS_BITWISE_COPYABLE_OR_MOVABLE(Value))
{
memcpy(pDst, pSrc, sizeof(node));
}
else
{
if (BASISU_IS_BITWISE_COPYABLE_OR_MOVABLE(Key))
memcpy(&pDst->first, &pSrc->first, sizeof(Key));
else
{
scalar_type<Key>::construct(&pDst->first, pSrc->first);
scalar_type<Key>::destruct(&pSrc->first);
}
if (BASISU_IS_BITWISE_COPYABLE_OR_MOVABLE(Value))
memcpy(&pDst->second, &pSrc->second, sizeof(Value));
else
{
scalar_type<Value>::construct(&pDst->second, pSrc->second);
scalar_type<Value>::destruct(&pSrc->second);
}
pDst->state = cStateValid;
}
if (update_src_state)
pSrc->state = cStateInvalid;
}
struct raw_node
{
inline raw_node()
{
node* p = reinterpret_cast<node*>(this);
p->state = cStateInvalid;
}
inline ~raw_node()
{
node* p = reinterpret_cast<node*>(this);
if (p->state)
hash_map_type::destruct_value_type(p);
}
inline raw_node(const raw_node& other)
{
node* pDst = reinterpret_cast<node*>(this);
const node* pSrc = reinterpret_cast<const node*>(&other);
if (pSrc->state)
{
hash_map_type::construct_value_type(pDst, pSrc);
pDst->state = cStateValid;
}
else
pDst->state = cStateInvalid;
}
inline raw_node& operator= (const raw_node& rhs)
{
if (this == &rhs)
return *this;
node* pDst = reinterpret_cast<node*>(this);
const node* pSrc = reinterpret_cast<const node*>(&rhs);
if (pSrc->state)
{
if (pDst->state)
{
pDst->first = pSrc->first;
pDst->second = pSrc->second;
}
else
{
hash_map_type::construct_value_type(pDst, pSrc);
pDst->state = cStateValid;
}
}
else if (pDst->state)
{
hash_map_type::destruct_value_type(pDst);
pDst->state = cStateInvalid;
}
return *this;
}
uint8_t m_bits[sizeof(node)];
};
typedef basisu::vector<raw_node> node_vector;
node_vector m_values;
uint32_t m_hash_shift;
Hasher m_hasher;
Equals m_equals;
uint32_t m_num_valid;
uint32_t m_grow_threshold;
inline uint32_t hash_key(const Key& k) const
{
assert((1U << (32U - m_hash_shift)) == m_values.size());
uint32_t hash = static_cast<uint32_t>(m_hasher(k));
// Fibonacci hashing
hash = (2654435769U * hash) >> m_hash_shift;
assert(hash < m_values.size());
return hash;
}
inline const node& get_node(uint32_t index) const
{
return *reinterpret_cast<const node*>(&m_values[index]);
}
inline node& get_node(uint32_t index)
{
return *reinterpret_cast<node*>(&m_values[index]);
}
inline state get_node_state(uint32_t index) const
{
return static_cast<state>(get_node(index).state);
}
inline void set_node_state(uint32_t index, bool valid)
{
get_node(index).state = valid;
}
inline void grow()
{
uint64_t n = m_values.size() * 3ULL; // was * 2
if (!helpers::is_power_of_2(n))
n = helpers::next_pow2(n);
if (n > 0x80000000UL)
n = 0x80000000UL;
rehash(helpers::maximum<uint32_t>(cMinHashSize, (uint32_t)n));
}
inline void rehash(uint32_t new_hash_size)
{
assert(new_hash_size >= m_num_valid);
assert(helpers::is_power_of_2(new_hash_size));
if ((new_hash_size < m_num_valid) || (new_hash_size == m_values.size()))
return;
hash_map new_map;
new_map.m_values.resize(new_hash_size);
new_map.m_hash_shift = 32U - helpers::floor_log2i(new_hash_size);
assert(new_hash_size == (1U << (32U - new_map.m_hash_shift)));
new_map.m_grow_threshold = UINT_MAX;
node* pNode = reinterpret_cast<node*>(m_values.begin());
node* pNode_end = pNode + m_values.size();
while (pNode != pNode_end)
{
if (pNode->state)
{
new_map.move_into(pNode);
if (new_map.m_num_valid == m_num_valid)
break;
}
pNode++;
}
new_map.m_grow_threshold = (new_hash_size + 1U) >> 1U;
m_values.clear_no_destruction();
m_hash_shift = 32;
swap(new_map);
}
inline uint32_t find_next(uint32_t index) const
{
index++;
if (index >= m_values.size())
return index;
const node* pNode = &get_node(index);
for (; ; )
{
if (pNode->state)
break;
if (++index >= m_values.size())
break;
pNode++;
}
return index;
}
inline uint32_t find_index(const Key& k) const
{
if (m_num_valid)
{
uint32_t index = hash_key(k);
const node* pNode = &get_node(index);
if (pNode->state)
{
if (m_equals(pNode->first, k))
return index;
const uint32_t orig_index = index;
for (; ; )
{
if (!index)
{
index = m_values.size() - 1;
pNode = &get_node(index);
}
else
{
index--;
pNode--;
}
if (index == orig_index)
break;
if (!pNode->state)
break;
if (m_equals(pNode->first, k))
return index;
}
}
}
return m_values.size();
}
inline bool insert_no_grow(insert_result& result, const Key& k, const Value& v = Value())
{
if (!m_values.size())
return false;
uint32_t index = hash_key(k);
node* pNode = &get_node(index);
if (pNode->state)
{
if (m_equals(pNode->first, k))
{
result.first = iterator(*this, index);
result.second = false;
return true;
}
const uint32_t orig_index = index;
for (; ; )
{
if (!index)
{
index = m_values.size() - 1;
pNode = &get_node(index);
}
else
{
index--;
pNode--;
}
if (orig_index == index)
return false;
if (!pNode->state)
break;
if (m_equals(pNode->first, k))
{
result.first = iterator(*this, index);
result.second = false;
return true;
}
}
}
if (m_num_valid >= m_grow_threshold)
return false;
construct_value_type(pNode, k, v);
pNode->state = cStateValid;
m_num_valid++;
assert(m_num_valid <= m_values.size());
result.first = iterator(*this, index);
result.second = true;
return true;
}
inline void move_into(node* pNode)
{
uint32_t index = hash_key(pNode->first);
node* pDst_node = &get_node(index);
if (pDst_node->state)
{
const uint32_t orig_index = index;
for (; ; )
{
if (!index)
{
index = m_values.size() - 1;
pDst_node = &get_node(index);
}
else
{
index--;
pDst_node--;
}
if (index == orig_index)
{
assert(false);
return;
}
if (!pDst_node->state)
break;
}
}
move_node(pDst_node, pNode, false);
m_num_valid++;
}
};
template<typename Key, typename Value, typename Hasher, typename Equals>
struct bitwise_movable< hash_map<Key, Value, Hasher, Equals> > { enum { cFlag = true }; };
#if BASISU_HASHMAP_TEST
extern void hash_map_test();
#endif
} // namespace basisu
namespace std
{
template<typename T>
inline void swap(basisu::vector<T>& a, basisu::vector<T>& b)
{
a.swap(b);
}
template<typename Key, typename Value, typename Hasher, typename Equals>
inline void swap(basisu::hash_map<Key, Value, Hasher, Equals>& a, basisu::hash_map<Key, Value, Hasher, Equals>& b)
{
a.swap(b);
}
} // namespace std
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_transcoder_tables_atc_55.inc | {0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,1,35},{0,1,27},{0,1,18},{0,1,61},{0,1,52},{0,0,68},{0,2,20},{0,1,10},{0,1,1},{0,1,9},{0,1,35},{0,1,27},{0,1,18},{0,1,61},{1,0,35},{0,1,61},{0,1,1},{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{1,0,18},{0,1,10},{0,1,1},{0,1,9},{1,0,18},{0,1,18},{0,1,9},{0,1,36},{0,1,18},{0,1,36},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,4,56},{0,3,38},{0,2,52},
{0,2,36},{0,4,56},{0,3,35},{0,2,0},{0,2,52},{0,2,88},{0,1,78},{1,3,24},{1,2,14},{1,2,5},{1,2,13},{1,2,51},{0,3,35},{0,2,0},{0,2,52},{2,1,51},{0,2,52},{0,3,37},{0,3,37},{0,3,37},{0,2,36},{0,3,10},{0,2,0},{0,2,0},{0,1,5},{0,1,35},{0,1,14},{1,2,5},{1,2,5},{1,2,5},{1,1,8},{1,1,8},
{0,2,0},{0,2,0},{0,1,5},{1,1,8},{0,1,5},{2,1,18},{0,3,2},{1,2,1},{0,2,0},{2,1,18},{1,2,18},{0,2,0},{0,2,36},{1,2,18},{0,2,36},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,10},{0,1,10},{1,5,56},{1,4,38},{1,3,52},{1,3,36},{1,5,56},{1,4,35},{1,3,0},
{1,3,52},{0,4,72},{0,3,38},{2,4,24},{2,3,14},{2,3,5},{2,3,13},{2,3,51},{0,4,24},{1,3,0},{0,3,37},{3,2,51},{0,3,37},{1,4,37},{1,4,37},{1,4,37},{1,3,36},{1,4,10},{1,3,0},{1,3,0},{1,2,5},{0,3,11},{1,2,14},{2,3,5},{2,3,5},{2,3,5},{2,2,8},{2,2,8},{1,3,0},{1,3,0},{1,2,5},{2,2,8},
{1,2,5},{3,2,18},{1,4,2},{2,3,1},{1,3,0},{3,2,18},{7,0,18},{1,3,0},{0,3,36},{7,0,18},{0,3,36},{1,0,36},{1,0,36},{1,0,36},{1,0,36},{1,3,0},{1,3,0},{1,3,0},{1,2,1},{0,3,2},{0,3,2},{2,6,56},{2,5,38},{2,4,53},{2,4,37},{2,6,56},{2,5,35},{2,4,1},{2,4,66},{0,5,60},{1,4,52},{3,5,24},
{3,4,14},{3,4,6},{3,4,14},{3,4,51},{1,5,24},{2,4,1},{1,4,51},{9,0,51},{1,4,51},{2,5,37},{2,5,37},{2,5,37},{2,4,36},{2,5,10},{2,4,0},{2,4,0},{2,3,5},{1,4,11},{2,3,14},{3,4,5},{3,4,5},{3,4,5},{3,3,8},{3,3,8},{2,4,0},{2,4,0},{2,3,5},{8,0,8},{2,3,5},{4,3,18},{2,5,2},{3,4,2},
{2,4,1},{4,3,18},{8,1,18},{2,4,1},{0,4,50},{8,1,18},{0,4,50},{2,0,36},{2,0,36},{2,0,36},{2,0,36},{2,4,0},{2,4,0},{2,4,0},{2,3,1},{1,4,2},{1,4,2},{3,8,70},{3,6,58},{4,5,69},{3,5,51},{3,7,52},{3,6,25},{3,5,3},{3,5,46},{2,6,60},{2,5,36},{4,6,24},{4,5,14},{4,5,5},{4,5,13},{6,2,51},
{3,6,24},{3,5,2},{2,5,36},{7,3,51},{2,5,36},{3,7,51},{3,7,51},{3,7,51},{3,5,51},{3,6,9},{3,5,3},{3,5,3},{3,4,9},{1,6,12},{3,4,12},{4,5,5},{4,5,5},{4,5,5},{4,4,8},{6,1,8},{3,5,2},{3,5,2},{3,4,8},{11,0,8},{3,4,8},{7,1,18},{3,6,8},{4,5,1},{3,5,1},{7,1,18},{11,1,18},{3,5,1},
{0,5,36},{11,1,18},{0,5,36},{3,0,50},{3,0,50},{3,0,50},{3,0,50},{3,5,2},{3,5,2},{3,5,2},{3,4,5},{2,5,0},{2,5,0},{4,8,56},{4,7,38},{4,6,52},{4,6,36},{4,8,56},{4,7,35},{4,6,0},{4,6,52},{3,7,60},{3,6,36},{5,7,24},{5,6,14},{5,6,5},{5,6,13},{8,1,51},{3,7,35},{4,6,0},{3,6,36},{6,5,51},
{3,6,36},{4,7,37},{4,7,37},{4,7,37},{4,6,36},{4,7,10},{4,6,0},{4,6,0},{4,5,5},{2,7,12},{4,5,14},{5,6,5},{5,6,5},{5,6,5},{5,5,8},{8,0,8},{4,6,0},{4,6,0},{4,5,5},{5,5,8},{4,5,5},{9,0,18},{4,7,2},{5,6,1},{4,6,0},{9,0,18},{15,0,18},{4,6,0},{0,6,36},{15,0,18},{0,6,36},{4,0,36},
{4,0,36},{4,0,36},{4,0,36},{4,6,0},{4,6,0},{4,6,0},{4,5,1},{3,6,0},{3,6,0},{5,9,56},{5,8,38},{5,7,52},{5,7,36},{5,9,56},{5,8,35},{5,7,0},{5,7,52},{3,8,63},{4,7,38},{6,8,24},{6,7,14},{6,7,5},{6,7,13},{9,2,51},{4,8,24},{5,7,0},{4,7,37},{17,0,51},{4,7,37},{5,8,37},{5,8,37},{5,8,37},
{5,7,36},{5,8,10},{5,7,0},{5,7,0},{5,6,5},{4,7,11},{5,6,14},{6,7,5},{6,7,5},{6,7,5},{6,6,8},{9,1,8},{5,7,0},{5,7,0},{5,6,5},{16,0,8},{5,6,5},{10,1,18},{5,8,2},{6,7,1},{5,7,0},{10,1,18},{16,1,18},{5,7,0},{0,7,36},{16,1,18},{0,7,36},{5,0,36},{5,0,36},{5,0,36},{5,0,36},{5,7,0},
{5,7,0},{5,7,0},{5,6,1},{4,7,2},{4,7,2},{6,10,56},{6,9,38},{6,8,53},{6,8,37},{6,10,56},{6,9,35},{6,8,1},{6,8,66},{4,9,60},{5,8,52},{7,9,24},{7,8,14},{7,8,6},{7,8,14},{10,3,51},{5,9,24},{6,8,1},{5,8,51},{18,1,51},{5,8,51},{6,9,37},{6,9,37},{6,9,37},{6,8,36},{6,9,10},{6,8,0},{6,8,0},
{6,7,5},{5,8,11},{6,7,14},{7,8,5},{7,8,5},{7,8,5},{7,7,8},{10,2,8},{6,8,0},{6,8,0},{6,7,5},{17,1,8},{6,7,5},{11,2,18},{6,9,2},{7,8,2},{6,8,1},{11,2,18},{17,2,18},{6,8,1},{0,8,50},{17,2,18},{0,8,50},{6,0,36},{6,0,36},{6,0,36},{6,0,36},{6,8,0},{6,8,0},{6,8,0},{6,7,1},{5,8,2},
{5,8,2},{7,12,70},{7,10,58},{8,9,69},{7,9,51},{7,11,52},{7,10,25},{7,9,3},{7,9,46},{6,10,60},{6,9,36},{8,10,24},{8,9,14},{8,9,5},{8,9,13},{13,1,51},{7,10,24},{7,9,2},{6,9,36},{21,1,51},{6,9,36},{7,11,51},{7,11,51},{7,11,51},{7,9,51},{7,10,9},{7,9,3},{7,9,3},{7,8,9},{5,10,12},{7,8,12},{8,9,5},
{8,9,5},{8,9,5},{8,8,8},{13,0,8},{7,9,2},{7,9,2},{7,8,8},{20,1,8},{7,8,8},{14,0,18},{7,10,8},{8,9,1},{7,9,1},{14,0,18},{20,2,18},{7,9,1},{0,9,36},{20,2,18},{0,9,36},{7,0,50},{7,0,50},{7,0,50},{7,0,50},{7,9,2},{7,9,2},{7,9,2},{7,8,5},{6,9,0},{6,9,0},{8,12,56},{8,11,38},{8,10,52},
{8,10,36},{8,12,56},{8,11,35},{8,10,0},{8,10,52},{7,11,60},{7,10,36},{9,11,24},{9,10,14},{9,10,5},{9,10,13},{14,2,51},{7,11,35},{8,10,0},{7,10,36},{25,0,51},{7,10,36},{8,11,37},{8,11,37},{8,11,37},{8,10,36},{8,11,10},{8,10,0},{8,10,0},{8,9,5},{6,11,12},{8,9,14},{9,10,5},{9,10,5},{9,10,5},{9,9,8},{14,1,8},
{8,10,0},{8,10,0},{8,9,5},{24,0,8},{8,9,5},{15,1,18},{8,11,2},{9,10,1},{8,10,0},{15,1,18},{24,1,18},{8,10,0},{0,10,36},{24,1,18},{0,10,36},{8,0,36},{8,0,36},{8,0,36},{8,0,36},{8,10,0},{8,10,0},{8,10,0},{8,9,1},{7,10,0},{7,10,0},{9,13,56},{9,12,38},{9,11,52},{9,11,36},{9,13,56},{9,12,35},{9,11,0},
{9,11,52},{7,12,63},{8,11,38},{10,12,24},{10,11,14},{10,11,5},{10,11,13},{16,1,51},{8,12,24},{9,11,0},{8,11,37},{26,1,51},{8,11,37},{9,12,37},{9,12,37},{9,12,37},{9,11,36},{9,12,10},{9,11,0},{9,11,0},{9,10,5},{8,11,11},{9,10,14},{10,11,5},{10,11,5},{10,11,5},{10,10,8},{16,0,8},{9,11,0},{9,11,0},{9,10,5},{25,1,8},
{9,10,5},{17,0,18},{9,12,2},{10,11,1},{9,11,0},{17,0,18},{25,2,18},{9,11,0},{0,11,36},{25,2,18},{0,11,36},{9,0,36},{9,0,36},{9,0,36},{9,0,36},{9,11,0},{9,11,0},{9,11,0},{9,10,1},{8,11,2},{8,11,2},{10,14,56},{10,13,38},{10,12,53},{10,12,37},{10,14,56},{10,13,35},{10,12,1},{10,12,66},{8,13,60},{9,12,52},{11,13,24},
{11,12,14},{11,12,6},{11,12,14},{17,2,51},{9,13,24},{10,12,1},{9,12,51},{27,2,51},{9,12,51},{10,13,37},{10,13,37},{10,13,37},{10,12,36},{10,13,10},{10,12,0},{10,12,0},{10,11,5},{9,12,11},{10,11,14},{11,12,5},{11,12,5},{11,12,5},{11,11,8},{17,1,8},{10,12,0},{10,12,0},{10,11,5},{26,2,8},{10,11,5},{18,1,18},{10,13,2},{11,12,2},
{10,12,1},{18,1,18},{31,0,18},{10,12,1},{0,12,50},{31,0,18},{0,12,50},{10,0,36},{10,0,36},{10,0,36},{10,0,36},{10,12,0},{10,12,0},{10,12,0},{10,11,1},{9,12,2},{9,12,2},{11,16,70},{11,14,58},{12,13,69},{11,13,51},{11,15,52},{11,14,25},{11,13,3},{11,13,46},{10,14,60},{10,13,36},{12,14,24},{12,13,14},{12,13,5},{12,13,13},{17,5,51},
{11,14,24},{11,13,2},{10,13,36},{30,2,51},{10,13,36},{11,15,51},{11,15,51},{11,15,51},{11,13,51},{11,14,9},{11,13,3},{11,13,3},{11,12,9},{9,14,12},{11,12,12},{12,13,5},{12,13,5},{12,13,5},{12,12,8},{17,4,8},{11,13,2},{11,13,2},{11,12,8},{29,2,8},{11,12,8},{18,4,18},{11,14,8},{12,13,1},{11,13,1},{18,4,18},{29,3,18},{11,13,1},
{0,13,36},{29,3,18},{0,13,36},{11,0,50},{11,0,50},{11,0,50},{11,0,50},{11,13,2},{11,13,2},{11,13,2},{11,12,5},{10,13,0},{10,13,0},{12,16,56},{12,15,38},{12,14,52},{12,14,36},{12,16,56},{12,15,35},{12,14,0},{12,14,52},{11,15,60},{11,14,36},{13,15,24},{13,14,14},{13,14,5},{13,14,13},{18,6,51},{11,15,35},{12,14,0},{11,14,36},{31,3,51},
{11,14,36},{12,15,37},{12,15,37},{12,15,37},{12,14,36},{12,15,10},{12,14,0},{12,14,0},{12,13,5},{10,15,12},{12,13,14},{13,14,5},{13,14,5},{13,14,5},{13,13,8},{18,5,8},{12,14,0},{12,14,0},{12,13,5},{30,3,8},{12,13,5},{20,3,18},{12,15,2},{13,14,1},{12,14,0},{20,3,18},{28,5,18},{12,14,0},{0,14,36},{28,5,18},{0,14,36},{12,0,36},
{12,0,36},{12,0,36},{12,0,36},{12,14,0},{12,14,0},{12,14,0},{12,13,1},{11,14,0},{11,14,0},{13,17,56},{13,16,38},{13,15,52},{13,15,36},{13,17,56},{13,16,35},{13,15,0},{13,15,52},{11,16,63},{12,15,38},{14,16,24},{14,15,14},{14,15,5},{14,15,13},{23,0,51},{12,16,24},{13,15,0},{12,15,37},{30,5,51},{12,15,37},{13,16,37},{13,16,37},{13,16,37},
{13,15,36},{13,16,10},{13,15,0},{13,15,0},{13,14,5},{12,15,11},{13,14,14},{14,15,5},{14,15,5},{14,15,5},{14,14,8},{20,4,8},{13,15,0},{13,15,0},{13,14,5},{29,5,8},{13,14,5},{21,4,18},{13,16,2},{14,15,1},{13,15,0},{21,4,18},{29,6,18},{13,15,0},{0,15,36},{29,6,18},{0,15,36},{13,0,36},{13,0,36},{13,0,36},{13,0,36},{13,15,0},
{13,15,0},{13,15,0},{13,14,1},{12,15,2},{12,15,2},{14,18,56},{14,17,38},{14,16,53},{14,16,37},{14,18,56},{14,17,35},{14,16,1},{14,16,66},{12,17,60},{13,16,52},{15,17,24},{15,16,14},{15,16,6},{15,16,14},{24,1,51},{13,17,24},{14,16,1},{13,16,51},{31,6,51},{13,16,51},{14,17,37},{14,17,37},{14,17,37},{14,16,36},{14,17,10},{14,16,0},{14,16,0},
{14,15,5},{13,16,11},{14,15,14},{15,16,5},{15,16,5},{15,16,5},{15,15,8},{24,0,8},{14,16,0},{14,16,0},{14,15,5},{30,6,8},{14,15,5},{25,0,18},{14,17,2},{15,16,2},{14,16,1},{25,0,18},{30,7,18},{14,16,1},{0,16,50},{30,7,18},{0,16,50},{14,0,36},{14,0,36},{14,0,36},{14,0,36},{14,16,0},{14,16,0},{14,16,0},{14,15,1},{13,16,2},
{13,16,2},{15,20,70},{15,18,58},{16,17,69},{15,17,51},{15,19,52},{15,18,25},{15,17,3},{15,17,46},{14,18,60},{14,17,36},{16,18,24},{16,17,14},{16,17,5},{16,17,13},{21,9,51},{15,18,24},{15,17,2},{14,17,36},{29,9,51},{14,17,36},{15,19,51},{15,19,51},{15,19,51},{15,17,51},{15,18,9},{15,17,3},{15,17,3},{15,16,9},{13,18,12},{15,16,12},{16,17,5},
{16,17,5},{16,17,5},{16,16,8},{24,3,8},{15,17,2},{15,17,2},{15,16,8},{28,9,8},{15,16,8},{25,3,18},{15,18,8},{16,17,1},{15,17,1},{25,3,18},{28,10,18},{15,17,1},{0,17,36},{28,10,18},{0,17,36},{15,0,50},{15,0,50},{15,0,50},{15,0,50},{15,17,2},{15,17,2},{15,17,2},{15,16,5},{14,17,0},{14,17,0},{16,20,56},{16,19,38},{16,18,52},
{16,18,36},{16,20,56},{16,19,35},{16,18,0},{16,18,52},{15,19,60},{15,18,36},{17,19,24},{17,18,14},{17,18,5},{17,18,13},{22,10,51},{15,19,35},{16,18,0},{15,18,36},{30,10,51},{15,18,36},{16,19,37},{16,19,37},{16,19,37},{16,18,36},{16,19,10},{16,18,0},{16,18,0},{16,17,5},{14,19,12},{16,17,14},{17,18,5},{17,18,5},{17,18,5},{17,17,8},{22,9,8},
{16,18,0},{16,18,0},{16,17,5},{29,10,8},{16,17,5},{24,7,18},{16,19,2},{17,18,1},{16,18,0},{24,7,18},{29,11,18},{16,18,0},{0,18,36},{29,11,18},{0,18,36},{16,0,36},{16,0,36},{16,0,36},{16,0,36},{16,18,0},{16,18,0},{16,18,0},{16,17,1},{15,18,0},{15,18,0},{17,21,56},{17,20,38},{17,19,52},{17,19,36},{17,21,56},{17,20,35},{17,19,0},
{17,19,52},{15,20,63},{16,19,38},{18,20,24},{18,19,14},{18,19,5},{18,19,13},{27,4,51},{16,20,24},{17,19,0},{16,19,37},{31,11,51},{16,19,37},{17,20,37},{17,20,37},{17,20,37},{17,19,36},{17,20,10},{17,19,0},{17,19,0},{17,18,5},{16,19,11},{17,18,14},{18,19,5},{18,19,5},{18,19,5},{18,18,8},{24,8,8},{17,19,0},{17,19,0},{17,18,5},{30,11,8},
{17,18,5},{28,3,18},{17,20,2},{18,19,1},{17,19,0},{28,3,18},{28,13,18},{17,19,0},{0,19,36},{28,13,18},{0,19,36},{17,0,36},{17,0,36},{17,0,36},{17,0,36},{17,19,0},{17,19,0},{17,19,0},{17,18,1},{16,19,2},{16,19,2},{18,22,56},{18,21,38},{18,20,53},{18,20,37},{18,22,56},{18,21,35},{18,20,1},{18,20,66},{16,21,60},{17,20,52},{19,21,24},
{19,20,14},{19,20,6},{19,20,14},{31,0,51},{17,21,24},{18,20,1},{17,20,51},{30,13,51},{17,20,51},{18,21,37},{18,21,37},{18,21,37},{18,20,36},{18,21,10},{18,20,0},{18,20,0},{18,19,5},{17,20,11},{18,19,14},{19,20,5},{19,20,5},{19,20,5},{19,19,8},{28,4,8},{18,20,0},{18,20,0},{18,19,5},{29,13,8},{18,19,5},{29,4,18},{18,21,2},{19,20,2},
{18,20,1},{29,4,18},{29,14,18},{18,20,1},{0,20,50},{29,14,18},{0,20,50},{18,0,36},{18,0,36},{18,0,36},{18,0,36},{18,20,0},{18,20,0},{18,20,0},{18,19,1},{17,20,2},{17,20,2},{19,24,70},{19,22,58},{20,21,69},{19,21,51},{19,23,52},{19,22,25},{19,21,3},{19,21,46},{18,22,60},{18,21,36},{20,22,24},{20,21,14},{20,21,5},{20,21,13},{31,3,51},
{19,22,24},{19,21,2},{18,21,36},{23,19,51},{18,21,36},{19,23,51},{19,23,51},{19,23,51},{19,21,51},{19,22,9},{19,21,3},{19,21,3},{19,20,9},{17,22,12},{19,20,12},{20,21,5},{20,21,5},{20,21,5},{20,20,8},{31,2,8},{19,21,2},{19,21,2},{19,20,8},{27,16,8},{19,20,8},{29,7,18},{19,22,8},{20,21,1},{19,21,1},{29,7,18},{27,17,18},{19,21,1},
{0,21,36},{27,17,18},{0,21,36},{19,0,50},{19,0,50},{19,0,50},{19,0,50},{19,21,2},{19,21,2},{19,21,2},{19,20,5},{18,21,0},{18,21,0},{20,24,56},{20,23,38},{20,22,52},{20,22,36},{20,24,56},{20,23,35},{20,22,0},{20,22,52},{19,23,60},{19,22,36},{21,23,24},{21,22,14},{21,22,5},{21,22,13},{26,14,51},{19,23,35},{20,22,0},{19,22,36},{22,21,51},
{19,22,36},{20,23,37},{20,23,37},{20,23,37},{20,22,36},{20,23,10},{20,22,0},{20,22,0},{20,21,5},{18,23,12},{20,21,14},{21,22,5},{21,22,5},{21,22,5},{21,21,8},{26,13,8},{20,22,0},{20,22,0},{20,21,5},{21,21,8},{20,21,5},{28,11,18},{20,23,2},{21,22,1},{20,22,0},{28,11,18},{31,16,18},{20,22,0},{0,22,36},{31,16,18},{0,22,36},{20,0,36},
{20,0,36},{20,0,36},{20,0,36},{20,22,0},{20,22,0},{20,22,0},{20,21,1},{19,22,0},{19,22,0},{21,25,56},{21,24,38},{21,23,52},{21,23,36},{21,25,56},{21,24,35},{21,23,0},{21,23,52},{19,24,63},{20,23,38},{22,24,24},{22,23,14},{22,23,5},{22,23,13},{31,8,51},{20,24,24},{21,23,0},{20,23,37},{28,19,51},{20,23,37},{21,24,37},{21,24,37},{21,24,37},
{21,23,36},{21,24,10},{21,23,0},{21,23,0},{21,22,5},{20,23,11},{21,22,14},{22,23,5},{22,23,5},{22,23,5},{22,22,8},{28,12,8},{21,23,0},{21,23,0},{21,22,5},{22,22,8},{21,22,5},{29,12,18},{21,24,2},{22,23,1},{21,23,0},{29,12,18},{27,20,18},{21,23,0},{0,23,36},{27,20,18},{0,23,36},{21,0,36},{21,0,36},{21,0,36},{21,0,36},{21,23,0},
{21,23,0},{21,23,0},{21,22,1},{20,23,2},{20,23,2},{22,26,56},{22,25,38},{22,24,53},{22,24,37},{22,26,56},{22,25,35},{22,24,1},{22,24,66},{20,25,60},{21,24,52},{23,25,24},{23,24,14},{23,24,6},{23,24,14},{29,14,51},{21,25,24},{22,24,1},{21,24,51},{29,20,51},{21,24,51},{22,25,37},{22,25,37},{22,25,37},{22,24,36},{22,25,10},{22,24,0},{22,24,0},
{22,23,5},{21,24,11},{22,23,14},{23,24,5},{23,24,5},{23,24,5},{23,23,8},{29,13,8},{22,24,0},{22,24,0},{22,23,5},{28,20,8},{22,23,5},{30,13,18},{22,25,2},{23,24,2},{22,24,1},{30,13,18},{28,21,18},{22,24,1},{0,24,50},{28,21,18},{0,24,50},{22,0,36},{22,0,36},{22,0,36},{22,0,36},{22,24,0},{22,24,0},{22,24,0},{22,23,1},{21,24,2},
{21,24,2},{23,28,70},{23,26,58},{24,25,69},{23,25,51},{23,27,52},{23,26,25},{23,25,3},{23,25,46},{22,26,60},{22,25,36},{24,26,24},{24,25,14},{24,25,5},{24,25,13},{29,17,51},{23,26,24},{23,25,2},{22,25,36},{27,23,51},{22,25,36},{23,27,51},{23,27,51},{23,27,51},{23,25,51},{23,26,9},{23,25,3},{23,25,3},{23,24,9},{21,26,12},{23,24,12},{24,25,5},
{24,25,5},{24,25,5},{24,24,8},{29,16,8},{23,25,2},{23,25,2},{23,24,8},{31,20,8},{23,24,8},{30,16,18},{23,26,8},{24,25,1},{23,25,1},{30,16,18},{31,21,18},{23,25,1},{0,25,36},{31,21,18},{0,25,36},{23,0,50},{23,0,50},{23,0,50},{23,0,50},{23,25,2},{23,25,2},{23,25,2},{23,24,5},{22,25,0},{22,25,0},{24,28,56},{24,27,38},{24,26,52},
{24,26,36},{24,28,56},{24,27,35},{24,26,0},{24,26,52},{23,27,60},{23,26,36},{25,27,24},{25,26,14},{25,26,5},{25,26,13},{30,18,51},{23,27,35},{24,26,0},{23,26,36},{26,25,51},{23,26,36},{24,27,37},{24,27,37},{24,27,37},{24,26,36},{24,27,10},{24,26,0},{24,26,0},{24,25,5},{22,27,12},{24,25,14},{25,26,5},{25,26,5},{25,26,5},{25,25,8},{30,17,8},
{24,26,0},{24,26,0},{24,25,5},{25,25,8},{24,25,5},{31,17,18},{24,27,2},{25,26,1},{24,26,0},{31,17,18},{25,26,18},{24,26,0},{0,26,36},{25,26,18},{0,26,36},{24,0,36},{24,0,36},{24,0,36},{24,0,36},{24,26,0},{24,26,0},{24,26,0},{24,25,1},{23,26,0},{23,26,0},{25,29,56},{25,28,38},{25,27,52},{25,27,36},{25,29,56},{25,28,35},{25,27,0},
{25,27,52},{23,28,63},{24,27,38},{26,28,24},{26,27,14},{26,27,5},{26,27,13},{31,19,51},{24,28,24},{25,27,0},{24,27,37},{27,26,51},{24,27,37},{25,28,37},{25,28,37},{25,28,37},{25,27,36},{25,28,10},{25,27,0},{25,27,0},{25,26,5},{24,27,11},{25,26,14},{26,27,5},{26,27,5},{26,27,5},{26,26,8},{31,18,8},{25,27,0},{25,27,0},{25,26,5},{26,26,8},
{25,26,5},{30,21,18},{25,28,2},{26,27,1},{25,27,0},{30,21,18},{31,24,18},{25,27,0},{0,27,36},{31,24,18},{0,27,36},{25,0,36},{25,0,36},{25,0,36},{25,0,36},{25,27,0},{25,27,0},{25,27,0},{25,26,1},{24,27,2},{24,27,2},{26,30,56},{26,29,38},{26,28,53},{26,28,37},{26,30,56},{26,29,35},{26,28,1},{26,28,66},{24,29,60},{25,28,52},{27,29,24},
{27,28,14},{27,28,6},{27,28,14},{30,23,51},{25,29,24},{26,28,1},{25,28,51},{28,27,51},{25,28,51},{26,29,37},{26,29,37},{26,29,37},{26,28,36},{26,29,10},{26,28,0},{26,28,0},{26,27,5},{25,28,11},{26,27,14},{27,28,5},{27,28,5},{27,28,5},{27,27,8},{30,22,8},{26,28,0},{26,28,0},{26,27,5},{27,27,8},{26,27,5},{31,22,18},{26,29,2},{27,28,2},
{26,28,1},{31,22,18},{27,28,18},{26,28,1},{0,28,50},{27,28,18},{0,28,50},{26,0,36},{26,0,36},{26,0,36},{26,0,36},{26,28,0},{26,28,0},{26,28,0},{26,27,1},{25,28,2},{25,28,2},{27,31,76},{27,30,58},{28,29,69},{27,29,51},{27,31,52},{27,30,25},{27,29,3},{27,29,46},{26,30,60},{26,29,36},{28,30,24},{28,29,14},{28,29,5},{28,29,13},{30,26,51},
{27,30,24},{27,29,2},{26,29,36},{31,27,51},{26,29,36},{27,31,51},{27,31,51},{27,31,51},{27,29,51},{27,30,9},{27,29,3},{27,29,3},{27,28,9},{25,30,12},{27,28,12},{28,29,5},{28,29,5},{28,29,5},{28,28,8},{30,25,8},{27,29,2},{27,29,2},{27,28,8},{30,27,8},{27,28,8},{31,25,18},{27,30,8},{28,29,1},{27,29,1},{31,25,18},{28,29,18},{27,29,1},
{0,29,36},{28,29,18},{0,29,36},{27,0,50},{27,0,50},{27,0,50},{27,0,50},{27,29,2},{27,29,2},{27,29,2},{27,28,5},{26,29,0},{26,29,0},{28,31,86},{28,31,38},{28,30,52},{28,30,36},{28,31,59},{28,31,35},{28,30,0},{28,30,52},{27,31,60},{27,30,36},{29,31,24},{29,30,14},{29,30,5},{29,30,13},{31,27,51},{27,31,35},{28,30,0},{27,30,36},{30,29,51},
{27,30,36},{28,31,37},{28,31,37},{28,31,37},{28,30,36},{28,31,10},{28,30,0},{28,30,0},{28,29,5},{26,31,12},{28,29,14},{29,30,5},{29,30,5},{29,30,5},{29,29,8},{31,26,8},{28,30,0},{28,30,0},{28,29,5},{29,29,8},{28,29,5},{30,29,18},{28,31,2},{29,30,1},{28,30,0},{30,29,18},{29,30,18},{28,30,0},{0,30,36},{29,30,18},{0,30,36},{28,0,36},
{28,0,36},{28,0,36},{28,0,36},{28,30,0},{28,30,0},{28,30,0},{28,29,1},{27,30,0},{27,30,0},{30,31,94},{30,31,78},{29,31,52},{29,31,36},{30,31,115},{29,31,36},{29,31,0},{29,31,52},{29,31,88},{28,31,38},{30,31,30},{30,31,14},{30,31,5},{30,31,13},{30,31,51},{29,31,36},{29,31,0},{28,31,37},{31,30,51},{28,31,37},{29,31,52},{29,31,52},{29,31,52},
{29,31,36},{29,31,16},{29,31,0},{29,31,0},{29,30,5},{28,31,11},{29,30,14},{30,31,5},{30,31,5},{30,31,5},{30,30,8},{30,30,8},{29,31,0},{29,31,0},{29,30,5},{30,30,8},{29,30,5},{31,30,18},{30,31,10},{30,31,1},{29,31,0},{31,30,18},{30,31,18},{29,31,0},{0,31,36},{30,31,18},{0,31,36},{29,0,36},{29,0,36},{29,0,36},{29,0,36},{29,31,0},
{29,31,0},{29,31,0},{29,30,1},{28,31,2},{28,31,2},{31,31,68},{31,31,68},{30,31,61},{30,31,45},{30,31,59},{30,31,27},{30,31,18},{30,31,1},{30,31,28},{30,31,10},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{30,31,1},{30,31,61},{30,31,61},{30,31,61},{30,31,45},{30,31,34},{30,31,18},{30,31,18},
{30,31,1},{30,31,19},{30,31,10},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{30,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{30,0,36},{30,0,36},{30,0,36},{30,0,36},{30,31,9},{30,31,9},{30,31,9},{30,31,1},{30,31,10},
{30,31,10},{0,4,74},{0,3,20},{0,2,2},{0,2,26},{0,2,158},{0,2,110},{0,2,62},{0,1,115},{0,1,178},{0,1,124},{0,4,74},{0,3,20},{0,2,2},{0,2,26},{1,1,154},{0,2,110},{0,2,62},{0,1,115},{1,1,154},{0,1,115},{0,2,1},{0,2,1},{0,2,1},{0,1,0},{0,1,13},{0,1,9},{0,1,9},{0,0,25},{0,0,25},{0,0,25},{0,2,1},
{0,2,1},{0,2,1},{0,1,0},{0,1,13},{0,1,9},{0,1,9},{0,0,25},{1,0,13},{0,0,25},{1,2,72},{0,3,20},{0,2,2},{0,2,26},{1,2,72},{2,1,72},{0,2,26},{0,1,90},{2,1,72},{0,1,90},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,6,83},{0,5,13},{0,3,26},
{0,3,14},{0,5,248},{0,3,140},{0,3,41},{0,2,139},{0,2,319},{0,2,175},{0,6,83},{0,5,13},{0,3,26},{0,3,14},{1,3,243},{0,3,140},{0,3,41},{0,2,139},{3,1,243},{0,2,139},{0,4,10},{0,4,10},{0,4,10},{0,3,13},{0,3,52},{0,2,18},{0,2,18},{0,1,29},{0,1,77},{0,1,38},{0,4,10},{0,4,10},{0,4,10},{0,3,13},{1,1,50},
{0,2,18},{0,2,18},{0,1,29},{1,1,50},{0,1,29},{2,3,72},{0,5,4},{1,3,2},{0,3,5},{2,3,72},{3,2,72},{0,3,5},{0,2,90},{3,2,72},{0,2,90},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,0},{0,1,0},{0,1,0},{0,1,4},{0,0,9},{0,0,9},{1,7,147},{1,6,77},{1,4,89},{1,4,77},{0,7,244},{0,5,96},{0,4,2},
{0,3,106},{0,4,395},{0,3,187},{1,7,83},{1,6,13},{1,4,25},{1,4,13},{2,4,243},{0,5,96},{0,4,2},{0,3,106},{4,2,243},{0,3,106},{1,5,74},{1,5,74},{1,5,74},{1,4,77},{0,5,52},{0,4,2},{0,4,2},{0,3,25},{0,3,133},{0,2,62},{1,5,10},{1,5,10},{1,5,10},{1,4,13},{2,2,50},{0,4,2},{0,4,2},{0,3,25},{2,2,50},
{0,3,25},{3,4,72},{1,6,4},{2,4,1},{0,4,1},{3,4,72},{9,0,72},{0,4,1},{0,3,90},{9,0,72},{0,3,90},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,37},{0,2,37},{2,8,164},{2,7,94},{2,5,106},{2,5,94},{1,8,245},{1,6,97},{1,5,3},{1,4,97},{0,6,364},{0,4,106},{2,8,83},
{2,7,13},{2,5,25},{2,5,13},{6,0,243},{0,7,76},{1,5,2},{0,4,81},{10,0,243},{0,4,81},{2,6,91},{2,6,91},{2,6,91},{2,5,94},{1,6,53},{1,5,3},{1,5,3},{1,3,27},{0,4,107},{0,4,42},{2,6,10},{2,6,10},{2,6,10},{2,5,13},{3,3,50},{1,5,2},{1,5,2},{0,4,17},{8,0,50},{0,4,17},{7,0,72},{2,7,4},{3,5,1},
{1,5,1},{7,0,72},{10,1,72},{1,5,1},{0,4,80},{10,1,72},{0,4,80},{2,0,90},{2,0,90},{2,0,90},{2,0,90},{1,5,2},{1,5,2},{1,5,2},{1,3,2},{0,3,20},{0,3,20},{3,10,154},{3,8,81},{3,6,106},{3,6,82},{2,10,248},{2,7,99},{2,6,5},{2,5,99},{0,7,308},{0,5,100},{3,10,90},{3,8,17},{4,6,27},{3,6,18},{6,3,243},
{1,8,73},{2,6,5},{1,5,90},{8,3,243},{1,5,90},{3,8,81},{3,8,81},{3,8,81},{3,6,81},{2,8,52},{2,6,4},{2,6,4},{2,5,18},{0,6,72},{0,5,19},{3,8,17},{3,8,17},{3,8,17},{3,6,17},{6,1,50},{2,6,4},{2,6,4},{1,5,9},{11,0,50},{1,5,9},{8,1,72},{3,8,1},{4,6,2},{3,6,2},{8,1,72},{6,5,72},{3,6,2},
{0,5,90},{6,5,72},{0,5,90},{3,0,80},{3,0,80},{3,0,80},{3,0,80},{2,6,0},{2,6,0},{2,6,0},{2,4,4},{0,6,8},{0,6,8},{4,10,164},{4,9,94},{4,7,107},{4,7,95},{3,11,248},{3,8,89},{3,7,5},{3,6,99},{0,9,253},{1,6,100},{4,10,83},{4,9,13},{4,7,26},{4,7,14},{8,2,243},{2,9,73},{3,7,5},{2,6,90},{12,2,243},
{2,6,90},{4,8,91},{4,8,91},{4,8,91},{4,7,94},{3,9,52},{3,7,4},{3,7,4},{3,6,18},{0,8,50},{1,6,19},{4,8,10},{4,8,10},{4,8,10},{4,7,13},{8,0,50},{3,7,4},{3,7,4},{2,6,9},{5,5,50},{2,6,9},{9,2,72},{4,9,4},{5,7,2},{3,7,5},{9,2,72},{17,0,72},{3,7,5},{0,6,90},{17,0,72},{0,6,90},{4,0,90},
{4,0,90},{4,0,90},{4,0,90},{3,7,0},{3,7,0},{3,7,0},{3,5,4},{1,7,8},{1,7,8},{5,11,164},{5,10,94},{5,8,106},{5,8,94},{4,11,245},{4,9,97},{4,8,3},{4,7,107},{0,11,249},{2,7,100},{5,11,83},{5,10,13},{5,8,25},{5,8,13},{9,3,243},{3,10,73},{4,8,2},{3,7,90},{18,0,243},{3,7,90},{5,9,91},{5,9,91},{5,9,91},
{5,8,94},{4,9,53},{4,8,3},{4,8,3},{4,7,26},{1,9,50},{2,7,19},{5,9,10},{5,9,10},{5,9,10},{5,8,13},{9,1,50},{4,8,2},{4,8,2},{3,7,9},{16,0,50},{3,7,9},{10,3,72},{5,10,4},{6,8,1},{4,8,1},{10,3,72},{18,1,72},{4,8,1},{0,7,90},{18,1,72},{0,7,90},{5,0,90},{5,0,90},{5,0,90},{5,0,90},{4,8,2},
{4,8,2},{4,8,2},{4,6,2},{1,8,9},{1,8,9},{6,12,164},{6,11,94},{6,9,106},{6,9,94},{5,12,245},{5,10,97},{5,9,3},{5,8,97},{1,12,252},{3,8,85},{6,12,83},{6,11,13},{6,9,25},{6,9,13},{10,4,243},{4,11,76},{5,9,2},{4,8,81},{19,1,243},{4,8,81},{6,10,91},{6,10,91},{6,10,91},{6,9,94},{5,10,53},{5,9,3},{5,9,3},
{5,7,27},{2,10,50},{3,8,21},{6,10,10},{6,10,10},{6,10,10},{6,9,13},{10,2,50},{5,9,2},{5,9,2},{4,8,17},{17,1,50},{4,8,17},{11,4,72},{6,11,4},{7,9,1},{5,9,1},{11,4,72},{19,2,72},{5,9,1},{0,8,80},{19,2,72},{0,8,80},{6,0,90},{6,0,90},{6,0,90},{6,0,90},{5,9,2},{5,9,2},{5,9,2},{5,7,2},{3,8,5},
{3,8,5},{7,14,154},{7,12,81},{7,10,106},{7,10,82},{6,14,248},{6,11,99},{6,10,5},{6,9,99},{2,13,244},{4,9,100},{7,14,90},{7,12,17},{8,10,27},{7,10,18},{13,2,243},{5,12,73},{6,10,5},{5,9,90},{22,1,243},{5,9,90},{7,12,81},{7,12,81},{7,12,81},{7,10,81},{6,12,52},{6,10,4},{6,10,4},{6,9,18},{3,11,53},{4,9,19},{7,12,17},
{7,12,17},{7,12,17},{7,10,17},{13,0,50},{6,10,4},{6,10,4},{5,9,9},{20,1,50},{5,9,9},{14,2,72},{7,12,1},{8,10,2},{7,10,2},{14,2,72},{25,0,72},{7,10,2},{0,9,90},{25,0,72},{0,9,90},{7,0,80},{7,0,80},{7,0,80},{7,0,80},{6,10,0},{6,10,0},{6,10,0},{6,8,4},{4,10,8},{4,10,8},{8,14,164},{8,13,94},{8,11,107},
{8,11,95},{7,15,248},{7,12,89},{7,11,5},{7,10,99},{3,14,244},{5,10,100},{8,14,83},{8,13,13},{8,11,26},{8,11,14},{14,3,243},{6,13,73},{7,11,5},{6,10,90},{26,0,243},{6,10,90},{8,12,91},{8,12,91},{8,12,91},{8,11,94},{7,13,52},{7,11,4},{7,11,4},{7,10,18},{4,12,50},{5,10,19},{8,12,10},{8,12,10},{8,12,10},{8,11,13},{14,1,50},
{7,11,4},{7,11,4},{6,10,9},{24,0,50},{6,10,9},{16,1,72},{8,13,4},{9,11,2},{7,11,5},{16,1,72},{26,1,72},{7,11,5},{0,10,90},{26,1,72},{0,10,90},{8,0,90},{8,0,90},{8,0,90},{8,0,90},{7,11,0},{7,11,0},{7,11,0},{7,9,4},{5,11,8},{5,11,8},{9,15,164},{9,14,94},{9,12,106},{9,12,94},{8,15,245},{8,13,97},{8,12,3},
{8,11,107},{4,15,249},{6,11,100},{9,15,83},{9,14,13},{9,12,25},{9,12,13},{16,2,243},{7,14,73},{8,12,2},{7,11,90},{27,1,243},{7,11,90},{9,13,91},{9,13,91},{9,13,91},{9,12,94},{8,13,53},{8,12,3},{8,12,3},{8,11,26},{5,13,50},{6,11,19},{9,13,10},{9,13,10},{9,13,10},{9,12,13},{16,0,50},{8,12,2},{8,12,2},{7,11,9},{25,1,50},
{7,11,9},{17,2,72},{9,14,4},{10,12,1},{8,12,1},{17,2,72},{27,2,72},{8,12,1},{0,11,90},{27,2,72},{0,11,90},{9,0,90},{9,0,90},{9,0,90},{9,0,90},{8,12,2},{8,12,2},{8,12,2},{8,10,2},{5,12,9},{5,12,9},{10,16,164},{10,15,94},{10,13,106},{10,13,94},{9,16,245},{9,14,97},{9,13,3},{9,12,97},{5,16,252},{7,12,85},{10,16,83},
{10,15,13},{10,13,25},{10,13,13},{17,3,243},{8,15,76},{9,13,2},{8,12,81},{28,2,243},{8,12,81},{10,14,91},{10,14,91},{10,14,91},{10,13,94},{9,14,53},{9,13,3},{9,13,3},{9,11,27},{6,14,50},{7,12,21},{10,14,10},{10,14,10},{10,14,10},{10,13,13},{17,1,50},{9,13,2},{9,13,2},{8,12,17},{26,2,50},{8,12,17},{18,3,72},{10,15,4},{11,13,1},
{9,13,1},{18,3,72},{28,3,72},{9,13,1},{0,12,80},{28,3,72},{0,12,80},{10,0,90},{10,0,90},{10,0,90},{10,0,90},{9,13,2},{9,13,2},{9,13,2},{9,11,2},{7,12,5},{7,12,5},{11,18,154},{11,16,81},{11,14,106},{11,14,82},{10,18,248},{10,15,99},{10,14,5},{10,13,99},{6,17,244},{8,13,100},{11,18,90},{11,16,17},{12,14,27},{11,14,18},{17,6,243},
{9,16,73},{10,14,5},{9,13,90},{31,2,243},{9,13,90},{11,16,81},{11,16,81},{11,16,81},{11,14,81},{10,16,52},{10,14,4},{10,14,4},{10,13,18},{7,15,53},{8,13,19},{11,16,17},{11,16,17},{11,16,17},{11,14,17},{17,4,50},{10,14,4},{10,14,4},{9,13,9},{29,2,50},{9,13,9},{18,6,72},{11,16,1},{12,14,2},{11,14,2},{18,6,72},{31,3,72},{11,14,2},
{0,13,90},{31,3,72},{0,13,90},{11,0,80},{11,0,80},{11,0,80},{11,0,80},{10,14,0},{10,14,0},{10,14,0},{10,12,4},{8,14,8},{8,14,8},{12,18,164},{12,17,94},{12,15,107},{12,15,95},{11,19,248},{11,16,89},{11,15,5},{11,14,99},{7,18,244},{9,14,100},{12,18,83},{12,17,13},{12,15,26},{12,15,14},{22,0,243},{10,17,73},{11,15,5},{10,14,90},{30,4,243},
{10,14,90},{12,16,91},{12,16,91},{12,16,91},{12,15,94},{11,17,52},{11,15,4},{11,15,4},{11,14,18},{8,16,50},{9,14,19},{12,16,10},{12,16,10},{12,16,10},{12,15,13},{18,5,50},{11,15,4},{11,15,4},{10,14,9},{30,3,50},{10,14,9},{23,0,72},{12,17,4},{13,15,2},{11,15,5},{23,0,72},{30,5,72},{11,15,5},{0,14,90},{30,5,72},{0,14,90},{12,0,90},
{12,0,90},{12,0,90},{12,0,90},{11,15,0},{11,15,0},{11,15,0},{11,13,4},{9,15,8},{9,15,8},{13,19,164},{13,18,94},{13,16,106},{13,16,94},{12,19,245},{12,17,97},{12,16,3},{12,15,107},{8,19,249},{10,15,100},{13,19,83},{13,18,13},{13,16,25},{13,16,13},{23,1,243},{11,18,73},{12,16,2},{11,15,90},{31,5,243},{11,15,90},{13,17,91},{13,17,91},{13,17,91},
{13,16,94},{12,17,53},{12,16,3},{12,16,3},{12,15,26},{9,17,50},{10,15,19},{13,17,10},{13,17,10},{13,17,10},{13,16,13},{20,4,50},{12,16,2},{12,16,2},{11,15,9},{29,5,50},{11,15,9},{24,1,72},{13,18,4},{14,16,1},{12,16,1},{24,1,72},{31,6,72},{12,16,1},{0,15,90},{31,6,72},{0,15,90},{13,0,90},{13,0,90},{13,0,90},{13,0,90},{12,16,2},
{12,16,2},{12,16,2},{12,14,2},{9,16,9},{9,16,9},{14,20,164},{14,19,94},{14,17,106},{14,17,94},{13,20,245},{13,18,97},{13,17,3},{13,16,97},{9,20,252},{11,16,85},{14,20,83},{14,19,13},{14,17,25},{14,17,13},{24,2,243},{12,19,76},{13,17,2},{12,16,81},{27,9,243},{12,16,81},{14,18,91},{14,18,91},{14,18,91},{14,17,94},{13,18,53},{13,17,3},{13,17,3},
{13,15,27},{10,18,50},{11,16,21},{14,18,10},{14,18,10},{14,18,10},{14,17,13},{24,0,50},{13,17,2},{13,17,2},{12,16,17},{30,6,50},{12,16,17},{25,2,72},{14,19,4},{15,17,1},{13,17,1},{25,2,72},{27,10,72},{13,17,1},{0,16,80},{27,10,72},{0,16,80},{14,0,90},{14,0,90},{14,0,90},{14,0,90},{13,17,2},{13,17,2},{13,17,2},{13,15,2},{11,16,5},
{11,16,5},{15,22,154},{15,20,81},{15,18,106},{15,18,82},{14,22,248},{14,19,99},{14,18,5},{14,17,99},{10,21,244},{12,17,100},{15,22,90},{15,20,17},{16,18,27},{15,18,18},{27,0,243},{13,20,73},{14,18,5},{13,17,90},{30,9,243},{13,17,90},{15,20,81},{15,20,81},{15,20,81},{15,18,81},{14,20,52},{14,18,4},{14,18,4},{14,17,18},{11,19,53},{12,17,19},{15,20,17},
{15,20,17},{15,20,17},{15,18,17},{24,3,50},{14,18,4},{14,18,4},{13,17,9},{28,9,50},{13,17,9},{22,10,72},{15,20,1},{16,18,2},{15,18,2},{22,10,72},{30,10,72},{15,18,2},{0,17,90},{30,10,72},{0,17,90},{15,0,80},{15,0,80},{15,0,80},{15,0,80},{14,18,0},{14,18,0},{14,18,0},{14,16,4},{12,18,8},{12,18,8},{16,22,164},{16,21,94},{16,19,107},
{16,19,95},{15,23,248},{15,20,89},{15,19,5},{15,18,99},{11,22,244},{13,18,100},{16,22,83},{16,21,13},{16,19,26},{16,19,14},{26,4,243},{14,21,73},{15,19,5},{14,18,90},{31,10,243},{14,18,90},{16,20,91},{16,20,91},{16,20,91},{16,19,94},{15,21,52},{15,19,4},{15,19,4},{15,18,18},{12,20,50},{13,18,19},{16,20,10},{16,20,10},{16,20,10},{16,19,13},{22,9,50},
{15,19,4},{15,19,4},{14,18,9},{29,10,50},{14,18,9},{27,4,72},{16,21,4},{17,19,2},{15,19,5},{27,4,72},{31,11,72},{15,19,5},{0,18,90},{31,11,72},{0,18,90},{16,0,90},{16,0,90},{16,0,90},{16,0,90},{15,19,0},{15,19,0},{15,19,0},{15,17,4},{13,19,8},{13,19,8},{17,23,164},{17,22,94},{17,20,106},{17,20,94},{16,23,245},{16,21,97},{16,20,3},
{16,19,107},{12,23,249},{14,19,100},{17,23,83},{17,22,13},{17,20,25},{17,20,13},{30,0,243},{15,22,73},{16,20,2},{15,19,90},{30,12,243},{15,19,90},{17,21,91},{17,21,91},{17,21,91},{17,20,94},{16,21,53},{16,20,3},{16,20,3},{16,19,26},{13,21,50},{14,19,19},{17,21,10},{17,21,10},{17,21,10},{17,20,13},{24,8,50},{16,20,2},{16,20,2},{15,19,9},{30,11,50},
{15,19,9},{31,0,72},{17,22,4},{18,20,1},{16,20,1},{31,0,72},{30,13,72},{16,20,1},{0,19,90},{30,13,72},{0,19,90},{17,0,90},{17,0,90},{17,0,90},{17,0,90},{16,20,2},{16,20,2},{16,20,2},{16,18,2},{13,20,9},{13,20,9},{18,24,164},{18,23,94},{18,21,106},{18,21,94},{17,24,245},{17,22,97},{17,21,3},{17,20,97},{13,24,252},{15,20,85},{18,24,83},
{18,23,13},{18,21,25},{18,21,13},{31,1,243},{16,23,76},{17,21,2},{16,20,81},{31,13,243},{16,20,81},{18,22,91},{18,22,91},{18,22,91},{18,21,94},{17,22,53},{17,21,3},{17,21,3},{17,19,27},{14,22,50},{15,20,21},{18,22,10},{18,22,10},{18,22,10},{18,21,13},{28,4,50},{17,21,2},{17,21,2},{16,20,17},{29,13,50},{16,20,17},{29,6,72},{18,23,4},{19,21,1},
{17,21,1},{29,6,72},{31,14,72},{17,21,1},{0,20,80},{31,14,72},{0,20,80},{18,0,90},{18,0,90},{18,0,90},{18,0,90},{17,21,2},{17,21,2},{17,21,2},{17,19,2},{15,20,5},{15,20,5},{19,26,154},{19,24,81},{19,22,106},{19,22,82},{18,26,248},{18,23,99},{18,22,5},{18,21,99},{14,25,244},{16,21,100},{19,26,90},{19,24,17},{20,22,27},{19,22,18},{31,4,243},
{17,24,73},{18,22,5},{17,21,90},{24,19,243},{17,21,90},{19,24,81},{19,24,81},{19,24,81},{19,22,81},{18,24,52},{18,22,4},{18,22,4},{18,21,18},{15,23,53},{16,21,19},{19,24,17},{19,24,17},{19,24,17},{19,22,17},{31,2,50},{18,22,4},{18,22,4},{17,21,9},{27,16,50},{17,21,9},{26,14,72},{19,24,1},{20,22,2},{19,22,2},{26,14,72},{22,21,72},{19,22,2},
{0,21,90},{22,21,72},{0,21,90},{19,0,80},{19,0,80},{19,0,80},{19,0,80},{18,22,0},{18,22,0},{18,22,0},{18,20,4},{16,22,8},{16,22,8},{20,26,164},{20,25,94},{20,23,107},{20,23,95},{19,27,248},{19,24,89},{19,23,5},{19,22,99},{15,26,244},{17,22,100},{20,26,83},{20,25,13},{20,23,26},{20,23,14},{30,8,243},{18,25,73},{19,23,5},{18,22,90},{28,18,243},
{18,22,90},{20,24,91},{20,24,91},{20,24,91},{20,23,94},{19,25,52},{19,23,4},{19,23,4},{19,22,18},{16,24,50},{17,22,19},{20,24,10},{20,24,10},{20,24,10},{20,23,13},{26,13,50},{19,23,4},{19,23,4},{18,22,9},{21,21,50},{18,22,9},{31,8,72},{20,25,4},{21,23,2},{19,23,5},{31,8,72},{28,19,72},{19,23,5},{0,22,90},{28,19,72},{0,22,90},{20,0,90},
{20,0,90},{20,0,90},{20,0,90},{19,23,0},{19,23,0},{19,23,0},{19,21,4},{17,23,8},{17,23,8},{21,27,164},{21,26,94},{21,24,106},{21,24,94},{20,27,245},{20,25,97},{20,24,3},{20,23,107},{16,27,249},{18,23,100},{21,27,83},{21,26,13},{21,24,25},{21,24,13},{31,9,243},{19,26,73},{20,24,2},{19,23,90},{29,19,243},{19,23,90},{21,25,91},{21,25,91},{21,25,91},
{21,24,94},{20,25,53},{20,24,3},{20,24,3},{20,23,26},{17,25,50},{18,23,19},{21,25,10},{21,25,10},{21,25,10},{21,24,13},{28,12,50},{20,24,2},{20,24,2},{19,23,9},{22,22,50},{19,23,9},{29,14,72},{21,26,4},{22,24,1},{20,24,1},{29,14,72},{29,20,72},{20,24,1},{0,23,90},{29,20,72},{0,23,90},{21,0,90},{21,0,90},{21,0,90},{21,0,90},{20,24,2},
{20,24,2},{20,24,2},{20,22,2},{17,24,9},{17,24,9},{22,28,164},{22,27,94},{22,25,106},{22,25,94},{21,28,245},{21,26,97},{21,25,3},{21,24,97},{17,28,252},{19,24,85},{22,28,83},{22,27,13},{22,25,25},{22,25,13},{29,15,243},{20,27,76},{21,25,2},{20,24,81},{30,20,243},{20,24,81},{22,26,91},{22,26,91},{22,26,91},{22,25,94},{21,26,53},{21,25,3},{21,25,3},
{21,23,27},{18,26,50},{19,24,21},{22,26,10},{22,26,10},{22,26,10},{22,25,13},{29,13,50},{21,25,2},{21,25,2},{20,24,17},{28,20,50},{20,24,17},{30,15,72},{22,27,4},{23,25,1},{21,25,1},{30,15,72},{30,21,72},{21,25,1},{0,24,80},{30,21,72},{0,24,80},{22,0,90},{22,0,90},{22,0,90},{22,0,90},{21,25,2},{21,25,2},{21,25,2},{21,23,2},{19,24,5},
{19,24,5},{23,30,154},{23,28,81},{23,26,106},{23,26,82},{22,30,248},{22,27,99},{22,26,5},{22,25,99},{18,29,244},{20,25,100},{23,30,90},{23,28,17},{24,26,27},{23,26,18},{29,18,243},{21,28,73},{22,26,5},{21,25,90},{28,23,243},{21,25,90},{23,28,81},{23,28,81},{23,28,81},{23,26,81},{22,28,52},{22,26,4},{22,26,4},{22,25,18},{19,27,53},{20,25,19},{23,28,17},
{23,28,17},{23,28,17},{23,26,17},{29,16,50},{22,26,4},{22,26,4},{21,25,9},{31,20,50},{21,25,9},{30,18,72},{23,28,1},{24,26,2},{23,26,2},{30,18,72},{26,25,72},{23,26,2},{0,25,90},{26,25,72},{0,25,90},{23,0,80},{23,0,80},{23,0,80},{23,0,80},{22,26,0},{22,26,0},{22,26,0},{22,24,4},{20,26,8},{20,26,8},{24,30,164},{24,29,94},{24,27,107},
{24,27,95},{23,31,248},{23,28,89},{23,27,5},{23,26,99},{19,30,244},{21,26,100},{24,30,83},{24,29,13},{24,27,26},{24,27,14},{30,19,243},{22,29,73},{23,27,5},{22,26,90},{27,25,243},{22,26,90},{24,28,91},{24,28,91},{24,28,91},{24,27,94},{23,29,52},{23,27,4},{23,27,4},{23,26,18},{20,28,50},{21,26,19},{24,28,10},{24,28,10},{24,28,10},{24,27,13},{30,17,50},
{23,27,4},{23,27,4},{22,26,9},{25,25,50},{22,26,9},{31,19,72},{24,29,4},{25,27,2},{23,27,5},{31,19,72},{27,26,72},{23,27,5},{0,26,90},{27,26,72},{0,26,90},{24,0,90},{24,0,90},{24,0,90},{24,0,90},{23,27,0},{23,27,0},{23,27,0},{23,25,4},{21,27,8},{21,27,8},{25,31,164},{25,30,94},{25,28,106},{25,28,94},{24,31,245},{24,29,97},{24,28,3},
{24,27,107},{20,31,249},{22,27,100},{25,31,83},{25,30,13},{25,28,25},{25,28,13},{29,23,243},{23,30,73},{24,28,2},{23,27,90},{28,26,243},{23,27,90},{25,29,91},{25,29,91},{25,29,91},{25,28,94},{24,29,53},{24,28,3},{24,28,3},{24,27,26},{21,29,50},{22,27,19},{25,29,10},{25,29,10},{25,29,10},{25,28,13},{31,18,50},{24,28,2},{24,28,2},{23,27,9},{26,26,50},
{23,27,9},{30,23,72},{25,30,4},{26,28,1},{24,28,1},{30,23,72},{28,27,72},{24,28,1},{0,27,90},{28,27,72},{0,27,90},{25,0,90},{25,0,90},{25,0,90},{25,0,90},{24,28,2},{24,28,2},{24,28,2},{24,26,2},{21,28,9},{21,28,9},{26,31,194},{26,31,94},{26,29,106},{26,29,94},{25,31,284},{25,30,97},{25,29,3},{25,28,97},{22,31,253},{23,28,85},{27,31,99},
{26,31,13},{26,29,25},{26,29,13},{30,24,243},{24,31,76},{25,29,2},{24,28,81},{29,27,243},{24,28,81},{26,30,91},{26,30,91},{26,30,91},{26,29,94},{25,30,53},{25,29,3},{25,29,3},{25,27,27},{22,30,50},{23,28,21},{26,30,10},{26,30,10},{26,30,10},{26,29,13},{30,22,50},{25,29,2},{25,29,2},{24,28,17},{27,27,50},{24,28,17},{31,24,72},{26,31,4},{27,29,1},
{25,29,1},{31,24,72},{24,31,72},{25,29,1},{0,28,80},{24,31,72},{0,28,80},{26,0,90},{26,0,90},{26,0,90},{26,0,90},{25,29,2},{25,29,2},{25,29,2},{25,27,2},{23,28,5},{23,28,5},{27,31,280},{27,31,120},{27,30,106},{27,30,82},{27,31,328},{26,31,99},{26,30,5},{26,29,99},{24,31,308},{24,29,100},{28,31,105},{28,31,45},{28,30,27},{27,30,18},{30,27,243},
{26,31,99},{26,30,5},{25,29,90},{30,28,243},{25,29,90},{27,31,84},{27,31,84},{27,31,84},{27,30,81},{26,31,58},{26,30,4},{26,30,4},{26,29,18},{23,31,53},{24,29,19},{27,31,20},{27,31,20},{27,31,20},{27,30,17},{30,25,50},{26,30,4},{26,30,4},{25,29,9},{30,27,50},{25,29,9},{31,27,72},{28,31,20},{28,30,2},{27,30,2},{31,27,72},{30,29,72},{27,30,2},
{0,29,90},{30,29,72},{0,29,90},{27,0,80},{27,0,80},{27,0,80},{27,0,80},{26,30,0},{26,30,0},{26,30,0},{26,28,4},{24,30,8},{24,30,8},{28,31,331},{28,31,187},{28,31,106},{28,31,94},{28,31,358},{27,31,173},{27,31,4},{27,30,82},{26,31,355},{25,30,83},{29,31,126},{29,31,62},{28,31,25},{28,31,13},{30,29,221},{28,31,121},{27,31,4},{26,30,73},{29,30,221},
{26,30,73},{28,31,106},{28,31,106},{28,31,106},{28,31,94},{27,31,100},{27,31,4},{27,31,4},{27,30,18},{25,31,72},{25,30,19},{28,31,25},{28,31,25},{28,31,25},{28,31,13},{31,26,50},{27,31,4},{27,31,4},{26,30,9},{29,29,50},{26,30,9},{31,29,61},{29,31,37},{29,31,1},{27,31,4},{31,29,61},{31,30,61},{27,31,4},{0,30,73},{31,30,61},{0,30,73},{28,0,90},
{28,0,90},{28,0,90},{28,0,90},{27,31,0},{27,31,0},{27,31,0},{27,29,4},{25,31,8},{25,31,8},{29,31,239},{29,31,175},{29,31,139},{29,31,99},{29,31,239},{28,31,122},{28,31,41},{28,31,26},{28,31,233},{26,31,19},{30,31,54},{30,31,38},{30,31,29},{29,31,18},{30,31,93},{29,31,54},{29,31,18},{27,31,9},{31,30,93},{27,31,9},{29,31,139},{29,31,139},{29,31,139},
{29,31,99},{29,31,139},{28,31,41},{28,31,41},{28,31,26},{27,31,116},{26,31,19},{30,31,29},{30,31,29},{30,31,29},{29,31,18},{30,30,50},{29,31,18},{29,31,18},{27,31,9},{30,30,50},{27,31,9},{31,30,9},{31,31,9},{30,31,4},{30,31,0},{31,30,9},{30,31,9},{30,31,0},{0,31,9},{30,31,9},{0,31,9},{29,0,90},{29,0,90},{29,0,90},{29,0,90},{28,31,5},
{28,31,5},{28,31,5},{28,30,2},{26,31,10},{26,31,10},{30,31,140},{30,31,124},{30,31,115},{30,31,99},{30,31,131},{29,31,98},{29,31,62},{29,31,2},{29,31,122},{28,31,20},{31,31,25},{31,31,25},{31,31,25},{30,31,18},{31,30,22},{30,31,18},{30,31,9},{29,31,1},{30,31,22},{29,31,1},{30,31,115},{30,31,115},{30,31,115},{30,31,99},{30,31,106},{29,31,62},{29,31,62},
{29,31,2},{29,31,86},{28,31,20},{31,31,25},{31,31,25},{31,31,25},{30,31,18},{31,30,13},{30,31,9},{30,31,9},{29,31,1},{30,31,13},{29,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{30,0,90},{30,0,90},{30,0,90},{30,0,90},{29,31,26},{29,31,26},{29,31,26},{29,31,2},{28,31,20},
{28,31,20},{0,6,202},{0,5,52},{0,3,25},{0,3,61},{0,4,442},{0,3,313},{0,3,142},{0,2,318},{0,2,498},{0,2,354},{0,6,202},{0,5,52},{0,3,25},{0,3,61},{2,1,441},{0,3,313},{0,3,142},{0,2,318},{1,2,441},{0,2,318},{0,3,0},{0,3,0},{0,3,0},{0,2,1},{0,1,45},{0,1,25},{0,1,25},{0,1,26},{0,1,50},{0,1,35},{0,3,0},
{0,3,0},{0,3,0},{0,2,1},{1,0,41},{0,1,25},{0,1,25},{0,1,26},{0,1,41},{0,1,26},{2,3,200},{0,5,52},{0,3,25},{0,3,61},{2,3,200},{3,2,200},{0,3,61},{0,2,218},{3,2,200},{0,2,218},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,9,200},{0,7,20},{0,5,20},
{0,4,25},{0,6,686},{0,5,433},{0,4,169},{0,3,443},{0,3,794},{0,3,524},{0,9,200},{0,7,20},{0,5,20},{0,4,25},{3,1,686},{0,5,433},{0,4,169},{0,3,443},{6,0,686},{0,3,443},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,3,145},{0,2,85},{0,2,85},{0,2,101},{0,1,178},{0,1,115},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{1,1,145},
{0,2,85},{0,2,85},{0,2,101},{3,0,145},{0,2,101},{3,4,200},{0,7,20},{1,4,16},{0,4,25},{3,4,200},{9,0,200},{0,4,25},{0,3,218},{9,0,200},{0,3,218},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,11,257},{0,9,54},{1,6,85},{0,5,65},{0,9,728},{0,6,371},{0,5,80},
{0,4,377},{0,5,949},{0,4,521},{1,10,201},{1,8,18},{1,6,21},{1,5,26},{4,2,723},{0,6,371},{0,5,80},{0,4,377},{7,1,723},{0,4,377},{0,8,50},{0,8,50},{0,8,50},{0,5,49},{0,5,164},{0,4,50},{0,4,50},{0,3,65},{0,3,245},{0,2,126},{1,7,2},{1,7,2},{1,7,2},{1,4,5},{2,2,162},{0,4,50},{0,4,50},{0,3,65},{2,2,162},
{0,3,65},{7,0,200},{0,9,5},{2,5,16},{0,5,16},{7,0,200},{10,1,200},{0,5,16},{0,4,208},{10,1,200},{0,4,208},{0,0,49},{0,0,49},{0,0,49},{0,0,49},{0,2,1},{0,2,1},{0,2,1},{0,1,4},{0,1,13},{0,1,13},{1,12,315},{1,10,118},{1,7,178},{1,6,129},{0,11,724},{0,8,289},{0,6,34},{0,5,308},{0,6,1087},{0,5,533},{2,11,201},
{2,9,18},{2,7,21},{2,6,26},{5,3,723},{0,8,289},{0,6,34},{0,5,308},{8,2,723},{0,5,308},{1,9,114},{1,9,114},{1,9,114},{1,6,113},{0,8,162},{0,6,18},{0,6,18},{0,4,25},{0,4,338},{0,3,162},{2,8,2},{2,8,2},{2,8,2},{2,5,5},{3,3,162},{0,6,18},{0,6,18},{0,4,25},{8,0,162},{0,4,25},{6,4,200},{1,10,5},{3,6,16},
{1,6,16},{6,4,200},{14,0,200},{1,6,16},{0,5,208},{14,0,200},{0,5,208},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,61},{0,2,61},{2,14,410},{2,11,209},{2,8,288},{2,7,234},{0,14,739},{0,10,254},{0,8,33},{0,6,270},{0,8,1131},{0,6,450},{3,12,200},{3,10,13},{3,8,25},{3,7,29},{6,4,723},
{0,10,238},{0,8,17},{0,6,254},{14,0,723},{0,6,254},{2,11,209},{2,11,209},{2,11,209},{2,7,209},{0,11,178},{0,8,17},{0,8,17},{0,5,18},{0,6,376},{0,5,123},{3,9,0},{3,9,0},{3,9,0},{3,7,4},{6,1,162},{0,8,1},{0,8,1},{0,5,2},{11,0,162},{0,5,2},{9,2,200},{2,11,1},{4,7,25},{0,8,17},{9,2,200},{17,0,200},{0,8,17},
{0,6,218},{17,0,200},{0,6,218},{2,0,208},{2,0,208},{2,0,208},{2,0,208},{0,8,16},{0,8,16},{0,8,16},{1,4,17},{0,4,80},{0,4,80},{3,15,410},{3,12,212},{3,9,288},{3,8,224},{1,15,739},{1,11,254},{1,9,33},{1,7,270},{0,9,1013},{0,7,308},{4,13,201},{4,11,21},{4,9,21},{4,8,26},{10,0,723},{0,12,227},{1,9,17},{0,7,227},{15,1,723},
{0,7,227},{3,11,212},{3,11,212},{3,11,212},{3,8,208},{2,10,180},{1,9,17},{1,9,17},{1,6,18},{0,8,306},{0,6,41},{4,10,2},{4,10,2},{4,10,2},{4,7,5},{8,0,162},{1,9,1},{1,9,1},{1,6,2},{5,5,162},{1,6,2},{10,3,200},{3,12,4},{5,8,16},{3,8,16},{10,3,200},{18,1,200},{3,8,16},{0,7,218},{18,1,200},{0,7,218},{3,0,208},
{3,0,208},{3,0,208},{3,0,208},{1,9,16},{1,9,16},{1,9,16},{2,5,17},{0,6,40},{0,6,40},{4,15,426},{4,13,223},{4,10,283},{4,9,234},{2,16,739},{2,12,267},{2,10,33},{2,8,273},{0,11,913},{0,8,225},{5,14,201},{5,12,18},{5,10,21},{5,9,26},{11,1,723},{0,13,208},{2,10,17},{0,8,209},{16,2,723},{0,8,209},{4,12,219},{4,12,219},{4,12,219},
{4,9,218},{3,11,180},{2,10,17},{2,10,17},{2,7,18},{0,9,229},{0,7,27},{5,11,2},{5,11,2},{5,11,2},{5,8,5},{9,1,162},{2,10,1},{2,10,1},{2,7,2},{16,0,162},{2,7,2},{11,4,200},{3,14,4},{6,9,16},{4,9,16},{11,4,200},{19,2,200},{4,9,16},{0,8,208},{19,2,200},{0,8,208},{4,0,218},{4,0,218},{4,0,218},{4,0,218},{2,10,16},
{2,10,16},{2,10,16},{3,6,17},{0,8,17},{0,8,17},{5,16,420},{5,14,223},{5,11,283},{5,10,234},{3,17,739},{3,13,267},{3,11,33},{3,9,273},{0,13,868},{0,9,213},{6,15,201},{6,13,18},{6,11,21},{6,10,26},{12,2,723},{0,15,204},{3,11,17},{1,9,209},{22,0,723},{1,9,209},{5,13,219},{5,13,219},{5,13,219},{5,10,218},{3,14,180},{3,11,17},{3,11,17},
{3,8,20},{0,11,189},{1,8,17},{6,12,2},{6,12,2},{6,12,2},{6,9,5},{10,2,162},{3,11,1},{3,11,1},{2,8,1},{17,1,162},{2,8,1},{15,0,200},{5,14,5},{7,10,16},{5,10,16},{15,0,200},{20,3,200},{5,10,16},{0,9,208},{20,3,200},{0,9,208},{5,0,218},{5,0,218},{5,0,218},{5,0,218},{3,11,16},{3,11,16},{3,11,16},{3,8,20},{0,9,5},
{0,9,5},{6,18,410},{6,15,209},{6,12,288},{6,11,234},{4,18,739},{4,14,254},{4,12,33},{4,10,270},{0,15,804},{2,10,227},{7,16,200},{7,14,13},{7,12,25},{7,11,29},{15,0,723},{1,16,209},{4,12,17},{2,10,218},{20,3,723},{2,10,218},{6,15,209},{6,15,209},{6,15,209},{6,11,209},{4,15,178},{4,12,17},{4,12,17},{4,9,18},{0,13,171},{2,9,26},{7,13,0},
{7,13,0},{7,13,0},{7,11,4},{13,0,162},{4,12,1},{4,12,1},{4,9,2},{20,1,162},{4,9,2},{16,1,200},{6,15,1},{8,11,25},{4,12,17},{16,1,200},{26,1,200},{4,12,17},{0,10,218},{26,1,200},{0,10,218},{6,0,208},{6,0,208},{6,0,208},{6,0,208},{4,12,16},{4,12,16},{4,12,16},{5,8,17},{1,11,5},{1,11,5},{7,19,410},{7,16,212},{7,13,288},
{7,12,224},{5,19,739},{5,15,254},{5,13,33},{5,11,270},{0,16,747},{3,11,227},{8,17,201},{8,15,21},{8,13,21},{8,12,26},{14,4,723},{3,16,209},{5,13,17},{3,11,218},{24,2,723},{3,11,218},{7,15,212},{7,15,212},{7,15,212},{7,12,208},{6,14,180},{5,13,17},{5,13,17},{5,10,18},{1,14,171},{3,10,26},{8,14,2},{8,14,2},{8,14,2},{8,11,5},{14,1,162},
{5,13,1},{5,13,1},{5,10,2},{24,0,162},{5,10,2},{17,2,200},{7,16,4},{9,12,16},{7,12,16},{17,2,200},{27,2,200},{7,12,16},{0,11,218},{27,2,200},{0,11,218},{7,0,208},{7,0,208},{7,0,208},{7,0,208},{5,13,16},{5,13,16},{5,13,16},{6,9,17},{2,12,8},{2,12,8},{8,19,426},{8,17,223},{8,14,283},{8,13,234},{6,20,739},{6,16,267},{6,14,33},
{6,12,273},{0,18,727},{3,12,218},{9,18,201},{9,16,18},{9,14,21},{9,13,26},{18,0,723},{4,17,208},{6,14,17},{4,12,209},{30,0,723},{4,12,209},{8,16,219},{8,16,219},{8,16,219},{8,13,218},{7,15,180},{6,14,17},{6,14,17},{6,11,18},{2,15,171},{4,11,27},{9,15,2},{9,15,2},{9,15,2},{9,12,5},{16,0,162},{6,14,1},{6,14,1},{6,11,2},{25,1,162},
{6,11,2},{18,3,200},{7,18,4},{10,13,16},{8,13,16},{18,3,200},{28,3,200},{8,13,16},{0,12,208},{28,3,200},{0,12,208},{8,0,218},{8,0,218},{8,0,218},{8,0,218},{6,14,16},{6,14,16},{6,14,16},{7,10,17},{3,13,8},{3,13,8},{9,20,420},{9,18,223},{9,15,283},{9,14,234},{7,21,739},{7,17,267},{7,15,33},{7,13,273},{1,19,727},{4,13,213},{10,19,201},
{10,17,18},{10,15,21},{10,14,26},{19,1,723},{4,19,204},{7,15,17},{5,13,209},{31,1,723},{5,13,209},{9,17,219},{9,17,219},{9,17,219},{9,14,218},{7,18,180},{7,15,17},{7,15,17},{7,12,20},{3,16,173},{5,12,17},{10,16,2},{10,16,2},{10,16,2},{10,13,5},{17,1,162},{7,15,1},{7,15,1},{6,12,1},{26,2,162},{6,12,1},{20,2,200},{9,18,5},{11,14,16},
{9,14,16},{20,2,200},{24,7,200},{9,14,16},{0,13,208},{24,7,200},{0,13,208},{9,0,218},{9,0,218},{9,0,218},{9,0,218},{7,15,16},{7,15,16},{7,15,16},{7,12,20},{4,13,5},{4,13,5},{10,22,410},{10,19,209},{10,16,288},{10,15,234},{8,22,739},{8,18,254},{8,16,33},{8,14,270},{2,20,724},{6,14,227},{11,20,200},{11,18,13},{11,16,25},{11,15,29},{20,2,723},
{5,20,209},{8,16,17},{6,14,218},{24,7,723},{6,14,218},{10,19,209},{10,19,209},{10,19,209},{10,15,209},{8,19,178},{8,16,17},{8,16,17},{8,13,18},{3,18,170},{6,13,26},{11,17,0},{11,17,0},{11,17,0},{11,15,4},{17,4,162},{8,16,1},{8,16,1},{8,13,2},{29,2,162},{8,13,2},{23,0,200},{10,19,1},{12,15,25},{8,16,17},{23,0,200},{30,5,200},{8,16,17},
{0,14,218},{30,5,200},{0,14,218},{10,0,208},{10,0,208},{10,0,208},{10,0,208},{8,16,16},{8,16,16},{8,16,16},{9,12,17},{5,15,5},{5,15,5},{11,23,410},{11,20,212},{11,17,288},{11,16,224},{9,23,739},{9,19,254},{9,17,33},{9,15,270},{3,21,724},{7,15,227},{12,21,201},{12,19,21},{12,17,21},{12,16,26},{21,3,723},{7,20,209},{9,17,17},{7,15,218},{28,6,723},
{7,15,218},{11,19,212},{11,19,212},{11,19,212},{11,16,208},{10,18,180},{9,17,17},{9,17,17},{9,14,18},{5,18,171},{7,14,26},{12,18,2},{12,18,2},{12,18,2},{12,15,5},{18,5,162},{9,17,1},{9,17,1},{9,14,2},{30,3,162},{9,14,2},{24,1,200},{11,20,4},{13,16,16},{11,16,16},{24,1,200},{31,6,200},{11,16,16},{0,15,218},{31,6,200},{0,15,218},{11,0,208},
{11,0,208},{11,0,208},{11,0,208},{9,17,16},{9,17,16},{9,17,16},{10,13,17},{6,16,8},{6,16,8},{12,23,426},{12,21,223},{12,18,283},{12,17,234},{10,24,739},{10,20,267},{10,18,33},{10,16,273},{4,22,727},{7,16,218},{13,22,201},{13,20,18},{13,18,21},{13,17,26},{22,4,723},{8,21,208},{10,18,17},{8,16,209},{29,7,723},{8,16,209},{12,20,219},{12,20,219},{12,20,219},
{12,17,218},{11,19,180},{10,18,17},{10,18,17},{10,15,18},{6,19,171},{8,15,27},{13,19,2},{13,19,2},{13,19,2},{13,16,5},{20,4,162},{10,18,1},{10,18,1},{10,15,2},{29,5,162},{10,15,2},{25,2,200},{11,22,4},{14,17,16},{12,17,16},{25,2,200},{27,10,200},{12,17,16},{0,16,208},{27,10,200},{0,16,208},{12,0,218},{12,0,218},{12,0,218},{12,0,218},{10,18,16},
{10,18,16},{10,18,16},{11,14,17},{7,17,8},{7,17,8},{13,24,420},{13,22,223},{13,19,283},{13,18,234},{11,25,739},{11,21,267},{11,19,33},{11,17,273},{5,23,727},{8,17,213},{14,23,201},{14,21,18},{14,19,21},{14,18,26},{26,0,723},{8,23,204},{11,19,17},{9,17,209},{30,8,723},{9,17,209},{13,21,219},{13,21,219},{13,21,219},{13,18,218},{11,22,180},{11,19,17},{11,19,17},
{11,16,20},{7,20,173},{9,16,17},{14,20,2},{14,20,2},{14,20,2},{14,17,5},{24,0,162},{11,19,1},{11,19,1},{10,16,1},{30,6,162},{10,16,1},{26,3,200},{13,22,5},{15,18,16},{13,18,16},{26,3,200},{28,11,200},{13,18,16},{0,17,208},{28,11,200},{0,17,208},{13,0,218},{13,0,218},{13,0,218},{13,0,218},{11,19,16},{11,19,16},{11,19,16},{11,16,20},{8,17,5},
{8,17,5},{14,26,410},{14,23,209},{14,20,288},{14,19,234},{12,26,739},{12,22,254},{12,20,33},{12,18,270},{6,24,724},{10,18,227},{15,24,200},{15,22,13},{15,20,25},{15,19,29},{26,3,723},{9,24,209},{12,20,17},{10,18,218},{28,11,723},{10,18,218},{14,23,209},{14,23,209},{14,23,209},{14,19,209},{12,23,178},{12,20,17},{12,20,17},{12,17,18},{7,22,170},{10,17,26},{15,21,0},
{15,21,0},{15,21,0},{15,19,4},{24,3,162},{12,20,1},{12,20,1},{12,17,2},{28,9,162},{12,17,2},{27,4,200},{14,23,1},{16,19,25},{12,20,17},{27,4,200},{31,11,200},{12,20,17},{0,18,218},{31,11,200},{0,18,218},{14,0,208},{14,0,208},{14,0,208},{14,0,208},{12,20,16},{12,20,16},{12,20,16},{13,16,17},{9,19,5},{9,19,5},{15,27,410},{15,24,212},{15,21,288},
{15,20,224},{13,27,739},{13,23,254},{13,21,33},{13,19,270},{7,25,724},{11,19,227},{16,25,201},{16,23,21},{16,21,21},{16,20,26},{28,2,723},{11,24,209},{13,21,17},{11,19,218},{27,13,723},{11,19,218},{15,23,212},{15,23,212},{15,23,212},{15,20,208},{14,22,180},{13,21,17},{13,21,17},{13,18,18},{9,22,171},{11,18,26},{16,22,2},{16,22,2},{16,22,2},{16,19,5},{22,9,162},
{13,21,1},{13,21,1},{13,18,2},{29,10,162},{13,18,2},{31,0,200},{15,24,4},{17,20,16},{15,20,16},{31,0,200},{30,13,200},{15,20,16},{0,19,218},{30,13,200},{0,19,218},{15,0,208},{15,0,208},{15,0,208},{15,0,208},{13,21,16},{13,21,16},{13,21,16},{14,17,17},{10,20,8},{10,20,8},{16,27,426},{16,25,223},{16,22,283},{16,21,234},{14,28,739},{14,24,267},{14,22,33},
{14,20,273},{8,26,727},{11,20,218},{17,26,201},{17,24,18},{17,22,21},{17,21,26},{29,3,723},{12,25,208},{14,22,17},{12,20,209},{28,14,723},{12,20,209},{16,24,219},{16,24,219},{16,24,219},{16,21,218},{15,23,180},{14,22,17},{14,22,17},{14,19,18},{10,23,171},{12,19,27},{17,23,2},{17,23,2},{17,23,2},{17,20,5},{24,8,162},{14,22,1},{14,22,1},{14,19,2},{30,11,162},
{14,19,2},{29,6,200},{15,26,4},{18,21,16},{16,21,16},{29,6,200},{31,14,200},{16,21,16},{0,20,208},{31,14,200},{0,20,208},{16,0,218},{16,0,218},{16,0,218},{16,0,218},{14,22,16},{14,22,16},{14,22,16},{15,18,17},{11,21,8},{11,21,8},{17,28,420},{17,26,223},{17,23,283},{17,22,234},{15,29,739},{15,25,267},{15,23,33},{15,21,273},{9,27,727},{12,21,213},{18,27,201},
{18,25,18},{18,23,21},{18,22,26},{30,4,723},{12,27,204},{15,23,17},{13,21,209},{29,15,723},{13,21,209},{17,25,219},{17,25,219},{17,25,219},{17,22,218},{15,26,180},{15,23,17},{15,23,17},{15,20,20},{11,24,173},{13,20,17},{18,24,2},{18,24,2},{18,24,2},{18,21,5},{28,4,162},{15,23,1},{15,23,1},{14,20,1},{29,13,162},{14,20,1},{30,7,200},{17,26,5},{19,22,16},
{17,22,16},{30,7,200},{30,16,200},{17,22,16},{0,21,208},{30,16,200},{0,21,208},{17,0,218},{17,0,218},{17,0,218},{17,0,218},{15,23,16},{15,23,16},{15,23,16},{15,20,20},{12,21,5},{12,21,5},{18,30,410},{18,27,209},{18,24,288},{18,23,234},{16,30,739},{16,26,254},{16,24,33},{16,22,270},{10,28,724},{14,22,227},{19,28,200},{19,26,13},{19,24,25},{19,23,29},{30,7,723},
{13,28,209},{16,24,17},{14,22,218},{30,16,723},{14,22,218},{18,27,209},{18,27,209},{18,27,209},{18,23,209},{16,27,178},{16,24,17},{16,24,17},{16,21,18},{11,26,170},{14,21,26},{19,25,0},{19,25,0},{19,25,0},{19,23,4},{31,2,162},{16,24,1},{16,24,1},{16,21,2},{27,16,162},{16,21,2},{31,8,200},{18,27,1},{20,23,25},{16,24,17},{31,8,200},{28,19,200},{16,24,17},
{0,22,218},{28,19,200},{0,22,218},{18,0,208},{18,0,208},{18,0,208},{18,0,208},{16,24,16},{16,24,16},{16,24,16},{17,20,17},{13,23,5},{13,23,5},{19,31,410},{19,28,212},{19,25,288},{19,24,224},{17,31,739},{17,27,254},{17,25,33},{17,23,270},{11,29,724},{15,23,227},{20,29,201},{20,27,21},{20,25,21},{20,24,26},{29,11,723},{15,28,209},{17,25,17},{15,23,218},{31,17,723},
{15,23,218},{19,27,212},{19,27,212},{19,27,212},{19,24,208},{18,26,180},{17,25,17},{17,25,17},{17,22,18},{13,26,171},{15,22,26},{20,26,2},{20,26,2},{20,26,2},{20,23,5},{26,13,162},{17,25,1},{17,25,1},{17,22,2},{21,21,162},{17,22,2},{29,14,200},{19,28,4},{21,24,16},{19,24,16},{29,14,200},{29,20,200},{19,24,16},{0,23,218},{29,20,200},{0,23,218},{19,0,208},
{19,0,208},{19,0,208},{19,0,208},{17,25,16},{17,25,16},{17,25,16},{18,21,17},{14,24,8},{14,24,8},{20,31,426},{20,29,223},{20,26,283},{20,25,234},{19,30,740},{18,28,267},{18,26,33},{18,24,273},{12,30,727},{15,24,218},{21,30,201},{21,28,18},{21,26,21},{21,25,26},{30,12,723},{16,29,208},{18,26,17},{16,24,209},{27,21,723},{16,24,209},{20,28,219},{20,28,219},{20,28,219},
{20,25,218},{19,27,180},{18,26,17},{18,26,17},{18,23,18},{14,27,171},{16,23,27},{21,27,2},{21,27,2},{21,27,2},{21,24,5},{28,12,162},{18,26,1},{18,26,1},{18,23,2},{22,22,162},{18,23,2},{30,15,200},{19,30,4},{22,25,16},{20,25,16},{30,15,200},{30,21,200},{20,25,16},{0,24,208},{30,21,200},{0,24,208},{20,0,218},{20,0,218},{20,0,218},{20,0,218},{18,26,16},
{18,26,16},{18,26,16},{19,22,17},{15,25,8},{15,25,8},{21,31,468},{21,30,223},{21,27,283},{21,26,234},{20,31,749},{19,29,267},{19,27,33},{19,25,273},{13,31,727},{16,25,213},{22,31,201},{22,29,18},{22,27,21},{22,26,26},{31,13,723},{16,31,204},{19,27,17},{17,25,209},{28,22,723},{17,25,209},{21,29,219},{21,29,219},{21,29,219},{21,26,218},{19,30,180},{19,27,17},{19,27,17},
{19,24,20},{15,28,173},{17,24,17},{22,28,2},{22,28,2},{22,28,2},{22,25,5},{29,13,162},{19,27,1},{19,27,1},{18,24,1},{28,20,162},{18,24,1},{31,16,200},{21,30,5},{23,26,16},{21,26,16},{31,16,200},{31,22,200},{21,26,16},{0,25,208},{31,22,200},{0,25,208},{21,0,218},{21,0,218},{21,0,218},{21,0,218},{19,27,16},{19,27,16},{19,27,16},{19,24,20},{16,25,5},
{16,25,5},{22,31,570},{22,31,209},{22,28,288},{22,27,234},{21,31,804},{20,30,254},{20,28,33},{20,26,270},{15,31,753},{18,26,227},{23,31,232},{23,30,13},{23,28,25},{23,27,29},{31,16,723},{19,31,216},{20,28,17},{18,26,218},{31,22,723},{18,26,218},{22,31,209},{22,31,209},{22,31,209},{22,27,209},{20,31,178},{20,28,17},{20,28,17},{20,25,18},{15,30,170},{18,25,26},{23,29,0},
{23,29,0},{23,29,0},{23,27,4},{29,16,162},{20,28,1},{20,28,1},{20,25,2},{31,20,162},{20,25,2},{31,19,200},{22,31,1},{24,27,25},{20,28,17},{31,19,200},{27,26,200},{20,28,17},{0,26,218},{27,26,200},{0,26,218},{22,0,208},{22,0,208},{22,0,208},{22,0,208},{20,28,16},{20,28,16},{20,28,16},{21,24,17},{17,27,5},{17,27,5},{23,31,696},{23,31,237},{23,29,288},
{23,28,224},{23,31,888},{21,31,254},{21,29,33},{21,27,270},{17,31,824},{19,27,227},{24,31,273},{24,31,21},{24,29,21},{24,28,26},{30,20,723},{20,31,233},{21,29,17},{19,27,218},{30,24,723},{19,27,218},{23,31,212},{23,31,212},{23,31,212},{23,28,208},{22,30,180},{21,29,17},{21,29,17},{21,26,18},{17,30,171},{19,26,26},{24,30,2},{24,30,2},{24,30,2},{24,27,5},{30,17,162},
{21,29,1},{21,29,1},{21,26,2},{25,25,162},{21,26,2},{30,23,200},{24,31,20},{25,28,16},{23,28,16},{30,23,200},{28,27,200},{23,28,16},{0,27,218},{28,27,200},{0,27,218},{23,0,208},{23,0,208},{23,0,208},{23,0,208},{21,29,16},{21,29,16},{21,29,16},{22,25,17},{18,28,8},{18,28,8},{25,31,804},{24,31,334},{24,30,283},{24,29,234},{24,31,957},{22,31,297},{22,30,33},
{22,28,273},{20,31,913},{19,28,218},{26,31,313},{25,31,51},{25,30,21},{25,29,26},{31,21,723},{22,31,281},{22,30,17},{20,28,209},{31,25,723},{20,28,209},{24,31,234},{24,31,234},{24,31,234},{24,29,218},{23,31,180},{22,30,17},{22,30,17},{22,27,18},{18,31,171},{20,27,27},{25,31,2},{25,31,2},{25,31,2},{25,28,5},{31,18,162},{22,30,1},{22,30,1},{22,27,2},{26,26,162},
{22,27,2},{31,24,200},{25,31,50},{26,29,16},{24,29,16},{31,24,200},{24,31,200},{24,29,16},{0,28,208},{24,31,200},{0,28,208},{24,0,218},{24,0,218},{24,0,218},{24,0,218},{22,30,16},{22,30,16},{22,30,16},{23,26,17},{19,29,8},{19,29,8},{26,31,930},{25,31,492},{25,31,283},{25,30,234},{25,31,1068},{24,31,389},{23,31,33},{23,29,273},{21,31,999},{20,29,213},{27,31,379},
{26,31,149},{26,31,21},{26,30,26},{29,27,723},{24,31,364},{23,31,17},{21,29,209},{27,29,723},{21,29,209},{25,31,267},{25,31,267},{25,31,267},{25,30,218},{24,31,205},{23,31,17},{23,31,17},{23,28,20},{20,31,189},{21,28,17},{26,31,5},{26,31,5},{26,31,5},{26,29,5},{30,22,162},{23,31,1},{23,31,1},{22,28,1},{27,27,162},{22,28,1},{30,28,200},{27,31,90},{27,30,16},
{25,30,16},{30,28,200},{28,30,200},{25,30,16},{0,29,208},{28,30,200},{0,29,208},{25,0,218},{25,0,218},{25,0,218},{25,0,218},{23,31,16},{23,31,16},{23,31,16},{23,28,20},{20,29,5},{20,29,5},{27,31,877},{26,31,585},{26,31,329},{26,31,209},{26,31,990},{25,31,397},{25,31,36},{24,30,165},{23,31,910},{22,30,122},{28,31,306},{28,31,162},{27,31,36},{27,31,4},{31,26,546},
{26,31,306},{25,31,20},{22,30,113},{29,29,546},{22,30,113},{26,31,329},{26,31,329},{26,31,329},{26,31,209},{25,31,276},{25,31,36},{25,31,36},{24,29,18},{22,31,230},{22,29,26},{27,31,36},{27,31,36},{27,31,36},{27,31,4},{30,25,162},{25,31,20},{25,31,20},{24,29,2},{30,27,162},{24,29,2},{30,30,113},{29,31,61},{28,31,0},{26,31,1},{30,30,113},{30,30,113},{26,31,1},
{0,30,113},{30,30,113},{0,30,113},{26,0,208},{26,0,208},{26,0,208},{26,0,208},{25,30,17},{25,30,17},{25,30,17},{25,28,17},{21,31,5},{21,31,5},{28,31,731},{27,31,573},{27,31,404},{27,31,244},{27,31,797},{26,31,354},{26,31,98},{25,30,82},{25,31,737},{23,31,58},{29,31,190},{29,31,126},{28,31,65},{28,31,5},{30,29,333},{28,31,185},{27,31,52},{23,31,49},{29,30,333},
{23,31,49},{27,31,404},{27,31,404},{27,31,404},{27,31,244},{27,31,356},{26,31,98},{26,31,98},{25,30,18},{24,31,315},{23,30,26},{28,31,65},{28,31,65},{28,31,65},{28,31,5},{31,26,162},{27,31,52},{27,31,52},{25,30,2},{29,29,162},{25,30,2},{31,30,25},{30,31,13},{30,31,4},{29,31,1},{31,30,25},{30,31,25},{29,31,1},{0,31,49},{30,31,25},{0,31,49},{27,0,208},
{27,0,208},{27,0,208},{27,0,208},{26,31,17},{26,31,17},{26,31,17},{26,29,17},{23,31,9},{23,31,9},{29,31,642},{28,31,524},{28,31,443},{28,31,299},{28,31,623},{28,31,335},{27,31,201},{26,31,17},{27,31,610},{24,31,26},{30,31,131},{30,31,115},{29,31,101},{29,31,37},{31,29,193},{29,31,121},{28,31,85},{26,31,1},{29,31,193},{26,31,1},{28,31,443},{28,31,443},{28,31,443},
{28,31,299},{28,31,398},{27,31,201},{27,31,201},{26,31,17},{26,31,378},{24,31,26},{29,31,101},{29,31,101},{29,31,101},{29,31,37},{31,28,145},{28,31,85},{28,31,85},{26,31,1},{30,30,145},{26,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{28,0,218},{28,0,218},{28,0,218},{28,0,218},{27,31,32},
{27,31,32},{27,31,32},{27,30,17},{24,31,26},{24,31,26},{29,31,418},{29,31,354},{29,31,318},{29,31,254},{29,31,370},{28,31,223},{28,31,142},{28,31,25},{28,31,358},{26,31,58},{30,31,51},{30,31,35},{30,31,26},{30,31,10},{31,30,54},{30,31,34},{30,31,25},{28,31,0},{30,31,54},{28,31,0},{29,31,318},{29,31,318},{29,31,318},{29,31,254},{29,31,270},{28,31,142},{28,31,142},
{28,31,25},{27,31,249},{26,31,58},{30,31,26},{30,31,26},{30,31,26},{30,31,10},{30,31,41},{30,31,25},{30,31,25},{28,31,0},{31,30,41},{28,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{29,0,218},{29,0,218},{29,0,218},{29,0,218},{28,31,61},{28,31,61},{28,31,61},{28,31,25},{26,31,58},
{26,31,58},{0,9,421},{0,7,113},{0,5,5},{0,4,130},{0,6,925},{0,5,658},{0,4,274},{0,3,670},{0,3,1039},{0,3,751},{0,9,421},{0,7,113},{0,5,5},{0,4,130},{3,1,925},{0,5,658},{0,4,274},{0,3,670},{6,0,925},{0,3,670},{0,4,1},{0,4,1},{0,4,1},{0,3,4},{0,2,85},{0,2,45},{0,2,45},{0,1,50},{0,1,98},{0,1,59},{0,4,1},
{0,4,1},{0,4,1},{0,3,4},{0,2,85},{0,2,45},{0,2,45},{0,1,50},{2,0,85},{0,1,50},{5,1,421},{0,7,113},{0,5,5},{0,4,130},{5,1,421},{9,0,421},{0,4,130},{0,3,445},{9,0,421},{0,3,445},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,12,425},{0,9,52},{0,6,10},
{0,6,82},{0,8,1261},{0,6,805},{0,5,322},{0,4,833},{0,4,1445},{0,4,977},{0,12,425},{0,9,52},{0,6,10},{0,6,82},{3,3,1261},{0,6,805},{0,5,322},{0,4,833},{8,0,1261},{0,4,833},{0,7,0},{0,7,0},{0,7,0},{0,4,1},{0,3,225},{0,3,117},{0,3,117},{0,2,125},{0,2,257},{0,2,161},{0,7,0},{0,7,0},{0,7,0},{0,4,1},{2,0,221},
{0,3,117},{0,3,117},{0,2,125},{2,1,221},{0,2,125},{7,0,421},{0,9,52},{1,6,5},{0,6,82},{7,0,421},{10,1,421},{0,6,82},{0,4,433},{10,1,421},{0,4,433},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,14,430},{0,11,29},{0,7,74},{0,7,46},{0,10,1514},{0,8,874},{0,6,307},
{0,5,917},{0,5,1814},{0,4,1074},{0,14,430},{0,11,29},{1,7,35},{0,7,46},{6,0,1514},{0,8,874},{0,6,307},{0,5,917},{10,0,1514},{0,5,917},{0,10,10},{0,10,10},{0,10,10},{0,6,10},{0,5,340},{0,5,160},{0,5,160},{0,3,169},{0,3,421},{0,3,250},{0,10,10},{0,10,10},{0,10,10},{0,6,10},{2,2,338},{0,5,160},{0,5,160},{0,3,169},{2,2,338},
{0,3,169},{8,1,421},{0,11,20},{2,7,5},{0,7,37},{8,1,421},{14,0,421},{0,7,37},{0,5,433},{14,0,421},{0,5,433},{0,0,9},{0,0,9},{0,0,9},{0,0,9},{0,1,0},{0,1,0},{0,1,0},{0,1,4},{0,0,9},{0,0,9},{1,15,494},{1,12,102},{1,8,137},{1,8,122},{0,12,1517},{0,9,737},{0,7,185},{0,6,794},{0,7,1982},{0,5,1062},{1,15,430},
{1,12,38},{2,8,34},{1,8,58},{7,1,1514},{0,9,737},{0,7,185},{0,6,794},{11,1,1514},{0,6,794},{1,11,74},{1,11,74},{1,11,74},{1,7,74},{0,8,338},{0,6,98},{0,6,98},{0,4,97},{0,4,514},{0,4,241},{1,11,10},{1,11,10},{1,11,10},{1,7,10},{3,3,338},{0,6,98},{0,6,98},{0,4,97},{8,0,338},{0,4,97},{10,0,421},{0,13,9},{3,8,4},
{0,8,16},{10,0,421},{17,0,421},{0,8,16},{0,6,433},{17,0,421},{0,6,433},{1,0,73},{1,0,73},{1,0,73},{1,0,73},{0,4,1},{0,4,1},{0,4,1},{0,2,1},{0,2,37},{0,2,37},{1,18,629},{1,14,213},{2,9,354},{1,9,218},{0,15,1517},{0,11,630},{0,9,50},{0,7,670},{0,8,2198},{0,6,1109},{3,15,437},{2,13,41},{3,9,33},{2,9,53},{8,2,1514},
{0,11,630},{0,9,50},{0,7,670},{12,2,1514},{0,7,670},{1,13,209},{1,13,209},{1,13,209},{1,8,212},{0,11,338},{0,8,41},{0,8,41},{0,5,50},{0,6,680},{0,5,275},{3,10,17},{3,10,17},{3,10,17},{2,8,17},{6,1,338},{0,8,41},{0,8,41},{0,5,50},{11,0,338},{0,5,50},{12,0,421},{0,15,1},{4,9,5},{0,9,1},{12,0,421},{20,0,421},{0,9,1},
{0,7,445},{20,0,421},{0,7,445},{1,0,208},{1,0,208},{1,0,208},{1,0,208},{0,7,1},{0,7,1},{0,7,1},{0,4,0},{0,3,106},{0,3,106},{2,19,821},{2,15,405},{2,11,570},{2,10,410},{0,18,1514},{0,13,577},{0,10,14},{0,8,602},{0,10,2462},{0,7,1175},{3,17,441},{3,14,41},{4,10,35},{3,10,53},{9,3,1514},{0,13,577},{0,10,14},{0,8,602},{18,0,1514},
{0,8,602},{2,14,401},{2,14,401},{2,14,401},{2,9,404},{0,13,340},{0,10,13},{0,10,13},{0,6,29},{0,7,851},{0,6,353},{3,13,17},{3,13,17},{3,13,17},{3,9,17},{8,0,338},{0,10,13},{0,10,13},{0,6,29},{5,5,338},{0,6,29},{13,1,421},{1,16,4},{5,10,5},{1,10,1},{13,1,421},{21,1,421},{1,10,1},{0,8,433},{21,1,421},{0,8,433},{2,0,400},
{2,0,400},{2,0,400},{2,0,400},{0,9,1},{0,9,1},{0,9,1},{0,6,4},{0,4,208},{0,4,208},{3,20,854},{3,16,437},{3,12,597},{3,11,443},{1,19,1515},{0,15,570},{1,11,15},{0,9,582},{0,11,2337},{0,9,933},{4,18,430},{4,15,29},{5,11,35},{4,11,46},{10,4,1514},{0,15,521},{1,11,14},{0,9,533},{19,1,1514},{0,9,533},{3,15,434},{3,15,434},{3,15,434},
{3,10,437},{1,14,341},{1,11,14},{1,11,14},{1,7,30},{0,8,755},{0,7,222},{4,14,10},{4,14,10},{4,14,10},{4,10,10},{9,1,338},{0,12,2},{0,12,2},{0,7,26},{16,0,338},{0,7,26},{15,0,421},{3,16,4},{6,11,5},{2,11,1},{15,0,421},{25,0,421},{2,11,1},{0,9,433},{25,0,421},{0,9,433},{3,0,433},{3,0,433},{3,0,433},{3,0,433},{1,10,2},
{1,10,2},{1,10,2},{1,7,5},{0,6,157},{0,6,157},{4,21,866},{4,17,454},{4,13,609},{4,12,461},{2,20,1515},{1,16,570},{2,12,19},{1,10,582},{0,13,2214},{0,10,707},{5,19,430},{5,16,38},{6,12,34},{5,12,58},{14,0,1514},{0,16,458},{2,12,18},{0,10,482},{20,2,1514},{0,10,482},{4,16,445},{4,16,445},{4,16,445},{4,11,449},{2,15,341},{2,12,19},{2,12,19},
{2,8,26},{0,10,635},{0,8,106},{5,15,10},{5,15,10},{5,15,10},{5,11,10},{10,2,338},{1,13,2},{1,13,2},{1,8,16},{17,1,338},{1,8,16},{16,1,421},{3,18,4},{7,12,4},{3,12,0},{16,1,421},{26,1,421},{3,12,0},{0,10,433},{26,1,421},{0,10,433},{4,0,445},{4,0,445},{4,0,445},{4,0,445},{2,11,2},{2,11,2},{2,11,2},{2,7,10},{0,8,90},
{0,8,90},{5,22,854},{5,18,438},{5,14,603},{5,13,443},{3,21,1517},{3,16,554},{3,13,21},{3,11,589},{0,15,2046},{0,11,535},{7,19,437},{6,17,41},{7,13,33},{6,13,53},{14,3,1514},{0,18,429},{3,13,21},{0,11,454},{26,0,1514},{0,11,454},{5,17,434},{5,17,434},{5,17,434},{5,12,437},{3,17,340},{3,13,20},{3,13,20},{3,9,29},{0,12,557},{0,10,49},{7,14,17},
{7,14,17},{7,14,17},{6,12,17},{13,0,338},{2,14,4},{2,14,4},{1,10,10},{20,1,338},{1,10,10},{17,2,421},{4,19,1},{8,13,5},{4,13,1},{17,2,421},{29,1,421},{4,13,1},{0,11,445},{29,1,421},{0,11,445},{5,0,433},{5,0,433},{5,0,433},{5,0,433},{3,12,1},{3,12,1},{3,12,1},{3,9,4},{0,10,40},{0,10,40},{6,23,854},{6,19,438},{6,15,603},
{6,14,443},{4,22,1515},{3,18,566},{4,14,15},{3,12,578},{0,16,1911},{0,12,458},{7,21,441},{7,18,41},{8,14,35},{7,14,53},{16,2,1514},{0,20,425},{4,14,14},{0,12,433},{27,1,1514},{0,12,433},{6,18,434},{6,18,434},{6,18,434},{6,13,437},{4,17,341},{4,14,14},{4,14,14},{4,10,30},{0,14,477},{0,11,35},{7,17,17},{7,17,17},{7,17,17},{7,13,17},{14,1,338},
{3,15,4},{3,15,4},{2,11,10},{24,0,338},{2,11,10},{18,3,421},{5,20,4},{9,14,5},{5,14,1},{18,3,421},{30,2,421},{5,14,1},{0,12,433},{30,2,421},{0,12,433},{6,0,433},{6,0,433},{6,0,433},{6,0,433},{4,13,2},{4,13,2},{4,13,2},{4,10,5},{0,12,25},{0,12,25},{7,24,854},{7,20,437},{7,16,597},{7,15,443},{5,23,1515},{4,19,570},{5,15,15},
{4,13,582},{0,18,1787},{0,13,442},{8,22,430},{8,19,29},{9,15,35},{8,15,46},{17,3,1514},{2,20,425},{5,15,14},{1,13,433},{28,2,1514},{1,13,433},{7,19,434},{7,19,434},{7,19,434},{7,14,437},{5,18,341},{5,15,14},{5,15,14},{5,11,30},{0,16,419},{1,12,45},{8,18,10},{8,18,10},{8,18,10},{8,14,10},{16,0,338},{4,16,2},{4,16,2},{3,12,17},{25,1,338},
{3,12,17},{20,2,421},{7,20,4},{10,15,5},{6,15,1},{20,2,421},{31,3,421},{6,15,1},{0,13,433},{31,3,421},{0,13,433},{7,0,433},{7,0,433},{7,0,433},{7,0,433},{5,14,2},{5,14,2},{5,14,2},{5,11,5},{0,13,9},{0,13,9},{8,25,866},{8,21,454},{8,17,609},{8,16,461},{6,24,1515},{5,20,570},{6,16,19},{5,14,582},{0,20,1686},{1,14,442},{9,23,430},
{9,20,38},{10,16,34},{9,16,58},{18,4,1514},{3,21,425},{6,16,18},{2,14,433},{29,3,1514},{2,14,433},{8,20,445},{8,20,445},{8,20,445},{8,15,449},{6,19,341},{6,16,19},{6,16,19},{6,12,26},{0,17,372},{2,13,45},{9,19,10},{9,19,10},{9,19,10},{9,15,10},{17,1,338},{5,17,2},{5,17,2},{5,12,16},{26,2,338},{5,12,16},{23,0,421},{7,22,4},{11,16,4},
{7,16,0},{23,0,421},{30,5,421},{7,16,0},{0,14,433},{30,5,421},{0,14,433},{8,0,445},{8,0,445},{8,0,445},{8,0,445},{6,15,2},{6,15,2},{6,15,2},{6,11,10},{0,15,5},{0,15,5},{9,26,854},{9,22,438},{9,18,603},{9,17,443},{7,25,1517},{7,20,554},{7,17,21},{7,15,589},{0,22,1614},{2,15,462},{11,23,437},{10,21,41},{11,17,33},{10,17,53},{22,0,1514},
{3,23,422},{7,17,21},{3,15,446},{30,4,1514},{3,15,446},{9,21,434},{9,21,434},{9,21,434},{9,16,437},{7,21,340},{7,17,20},{7,17,20},{7,13,29},{0,19,347},{3,14,46},{11,18,17},{11,18,17},{11,18,17},{10,16,17},{17,4,338},{6,18,4},{6,18,4},{5,14,10},{29,2,338},{5,14,10},{24,1,421},{8,23,1},{12,17,5},{8,17,1},{24,1,421},{31,6,421},{8,17,1},
{0,15,445},{31,6,421},{0,15,445},{9,0,433},{9,0,433},{9,0,433},{9,0,433},{7,16,1},{7,16,1},{7,16,1},{7,13,4},{2,16,8},{2,16,8},{10,27,854},{10,23,438},{10,19,603},{10,18,443},{8,26,1515},{7,22,566},{8,18,15},{7,16,578},{0,23,1566},{3,16,443},{11,25,441},{11,22,41},{12,18,35},{11,18,53},{23,1,1514},{4,24,425},{8,18,14},{4,16,433},{31,5,1514},
{4,16,433},{10,22,434},{10,22,434},{10,22,434},{10,17,437},{8,21,341},{8,18,14},{8,18,14},{8,14,30},{1,20,341},{4,15,35},{11,21,17},{11,21,17},{11,21,17},{11,17,17},{18,5,338},{7,19,4},{7,19,4},{6,15,10},{30,3,338},{6,15,10},{25,2,421},{9,24,4},{13,18,5},{9,18,1},{25,2,421},{29,9,421},{9,18,1},{0,16,433},{29,9,421},{0,16,433},{10,0,433},
{10,0,433},{10,0,433},{10,0,433},{8,17,2},{8,17,2},{8,17,2},{8,14,5},{3,17,8},{3,17,8},{11,28,854},{11,24,437},{11,20,597},{11,19,443},{9,27,1515},{8,23,570},{9,19,15},{8,17,582},{0,25,1533},{4,17,442},{12,26,430},{12,23,29},{13,19,35},{12,19,46},{24,2,1514},{6,24,425},{9,19,14},{5,17,433},{27,9,1514},{5,17,433},{11,23,434},{11,23,434},{11,23,434},
{11,18,437},{9,22,341},{9,19,14},{9,19,14},{9,15,30},{2,21,341},{5,16,45},{12,22,10},{12,22,10},{12,22,10},{12,18,10},{20,4,338},{8,20,2},{8,20,2},{7,16,17},{29,5,338},{7,16,17},{26,3,421},{11,24,4},{14,19,5},{10,19,1},{26,3,421},{30,10,421},{10,19,1},{0,17,433},{30,10,421},{0,17,433},{11,0,433},{11,0,433},{11,0,433},{11,0,433},{9,18,2},
{9,18,2},{9,18,2},{9,15,5},{4,17,9},{4,17,9},{12,29,866},{12,25,454},{12,21,609},{12,20,461},{10,28,1515},{9,24,570},{10,20,19},{9,18,582},{0,27,1521},{5,18,442},{13,27,430},{13,24,38},{14,20,34},{13,20,58},{25,3,1514},{7,25,425},{10,20,18},{6,18,433},{28,10,1514},{6,18,433},{12,24,445},{12,24,445},{12,24,445},{12,19,449},{10,23,341},{10,20,19},{10,20,19},
{10,16,26},{3,22,341},{6,17,45},{13,23,10},{13,23,10},{13,23,10},{13,19,10},{24,0,338},{9,21,2},{9,21,2},{9,16,16},{30,6,338},{9,16,16},{28,2,421},{11,26,4},{15,20,4},{11,20,0},{28,2,421},{31,11,421},{11,20,0},{0,18,433},{31,11,421},{0,18,433},{12,0,445},{12,0,445},{12,0,445},{12,0,445},{10,19,2},{10,19,2},{10,19,2},{10,15,10},{4,19,5},
{4,19,5},{13,30,854},{13,26,438},{13,22,603},{13,21,443},{11,29,1517},{11,24,554},{11,21,21},{11,19,589},{1,28,1518},{6,19,462},{15,27,437},{14,25,41},{15,21,33},{14,21,53},{26,4,1514},{7,27,422},{11,21,21},{7,19,446},{31,10,1514},{7,19,446},{13,25,434},{13,25,434},{13,25,434},{13,20,437},{11,25,340},{11,21,20},{11,21,20},{11,17,29},{3,24,339},{7,18,46},{15,22,17},
{15,22,17},{15,22,17},{14,20,17},{24,3,338},{10,22,4},{10,22,4},{9,18,10},{28,9,338},{9,18,10},{31,0,421},{12,27,1},{16,21,5},{12,21,1},{31,0,421},{30,13,421},{12,21,1},{0,19,445},{30,13,421},{0,19,445},{13,0,433},{13,0,433},{13,0,433},{13,0,433},{11,20,1},{11,20,1},{11,20,1},{11,17,4},{6,20,8},{6,20,8},{14,31,854},{14,27,438},{14,23,603},
{14,22,443},{12,30,1515},{11,26,566},{12,22,15},{11,20,578},{2,29,1518},{7,20,443},{15,29,441},{15,26,41},{16,22,35},{15,22,53},{30,0,1514},{8,28,425},{12,22,14},{8,20,433},{30,12,1514},{8,20,433},{14,26,434},{14,26,434},{14,26,434},{14,21,437},{12,25,341},{12,22,14},{12,22,14},{12,18,30},{5,24,341},{8,19,35},{15,25,17},{15,25,17},{15,25,17},{15,21,17},{22,9,338},
{11,23,4},{11,23,4},{10,19,10},{29,10,338},{10,19,10},{31,3,421},{13,28,4},{17,22,5},{13,22,1},{31,3,421},{31,14,421},{13,22,1},{0,20,433},{31,14,421},{0,20,433},{14,0,433},{14,0,433},{14,0,433},{14,0,433},{12,21,2},{12,21,2},{12,21,2},{12,18,5},{7,21,8},{7,21,8},{15,31,878},{15,28,437},{15,24,597},{15,23,443},{13,31,1515},{12,27,570},{13,23,15},
{12,21,582},{3,30,1518},{8,21,442},{16,30,430},{16,27,29},{17,23,35},{16,23,46},{31,1,1514},{10,28,425},{13,23,14},{9,21,433},{31,13,1514},{9,21,433},{15,27,434},{15,27,434},{15,27,434},{15,22,437},{13,26,341},{13,23,14},{13,23,14},{13,19,30},{6,25,341},{9,20,45},{16,26,10},{16,26,10},{16,26,10},{16,22,10},{24,8,338},{12,24,2},{12,24,2},{11,20,17},{30,11,338},
{11,20,17},{30,7,421},{15,28,4},{18,23,5},{14,23,1},{30,7,421},{30,16,421},{14,23,1},{0,21,433},{30,16,421},{0,21,433},{15,0,433},{15,0,433},{15,0,433},{15,0,433},{13,22,2},{13,22,2},{13,22,2},{13,19,5},{8,21,9},{8,21,9},{16,31,926},{16,29,454},{16,25,609},{16,24,461},{14,31,1542},{13,28,570},{14,24,19},{13,22,582},{4,31,1521},{9,22,442},{17,31,430},
{17,28,38},{18,24,34},{17,24,58},{29,7,1514},{11,29,425},{14,24,18},{10,22,433},{27,17,1514},{10,22,433},{16,28,445},{16,28,445},{16,28,445},{16,23,449},{14,27,341},{14,24,19},{14,24,19},{14,20,26},{7,26,341},{10,21,45},{17,27,10},{17,27,10},{17,27,10},{17,23,10},{28,4,338},{13,25,2},{13,25,2},{13,20,16},{29,13,338},{13,20,16},{31,8,421},{15,30,4},{19,24,4},
{15,24,0},{31,8,421},{31,17,421},{15,24,0},{0,22,433},{31,17,421},{0,22,433},{16,0,445},{16,0,445},{16,0,445},{16,0,445},{14,23,2},{14,23,2},{14,23,2},{14,19,10},{8,23,5},{8,23,5},{17,31,1034},{17,30,438},{17,26,603},{17,25,443},{16,31,1598},{15,28,554},{15,25,21},{15,23,589},{6,31,1535},{10,23,462},{19,31,437},{18,29,41},{19,25,33},{18,25,53},{30,8,1514},
{11,31,422},{15,25,21},{11,23,446},{28,18,1514},{11,23,446},{17,29,434},{17,29,434},{17,29,434},{17,24,437},{15,29,340},{15,25,20},{15,25,20},{15,21,29},{7,28,339},{11,22,46},{19,26,17},{19,26,17},{19,26,17},{18,24,17},{31,2,338},{14,26,4},{14,26,4},{13,22,10},{27,16,338},{13,22,10},{31,11,421},{16,31,1},{20,25,5},{16,25,1},{31,11,421},{31,19,421},{16,25,1},
{0,23,445},{31,19,421},{0,23,445},{17,0,433},{17,0,433},{17,0,433},{17,0,433},{15,24,1},{15,24,1},{15,24,1},{15,21,4},{10,24,8},{10,24,8},{18,31,1166},{18,31,438},{18,27,603},{18,26,443},{17,31,1643},{15,30,566},{16,26,15},{15,24,578},{8,31,1566},{11,24,443},{20,31,458},{19,30,41},{20,26,35},{19,26,53},{31,9,1514},{13,31,429},{16,26,14},{12,24,433},{29,19,1514},
{12,24,433},{18,30,434},{18,30,434},{18,30,434},{18,25,437},{16,29,341},{16,26,14},{16,26,14},{16,22,30},{9,28,341},{12,23,35},{19,29,17},{19,29,17},{19,29,17},{19,25,17},{26,13,338},{15,27,4},{15,27,4},{14,23,10},{21,21,338},{14,23,10},{30,15,421},{18,31,5},{21,26,5},{17,26,1},{30,15,421},{30,21,421},{17,26,1},{0,24,433},{30,21,421},{0,24,433},{18,0,433},
{18,0,433},{18,0,433},{18,0,433},{16,25,2},{16,25,2},{16,25,2},{16,22,5},{11,25,8},{11,25,8},{20,31,1326},{19,31,470},{19,28,597},{19,27,443},{18,31,1742},{16,31,570},{17,27,15},{16,25,582},{10,31,1638},{12,25,442},{21,31,506},{20,31,29},{21,27,35},{20,27,46},{29,15,1514},{15,31,461},{17,27,14},{13,25,433},{30,20,1514},{13,25,433},{19,31,434},{19,31,434},{19,31,434},
{19,26,437},{17,30,341},{17,27,14},{17,27,14},{17,23,30},{10,29,341},{13,24,45},{20,30,10},{20,30,10},{20,30,10},{20,26,10},{28,12,338},{16,28,2},{16,28,2},{15,24,17},{22,22,338},{15,24,17},{31,16,421},{20,31,20},{22,27,5},{18,27,1},{31,16,421},{31,22,421},{18,27,1},{0,25,433},{31,22,421},{0,25,433},{19,0,433},{19,0,433},{19,0,433},{19,0,433},{17,26,2},
{17,26,2},{17,26,2},{17,23,5},{12,25,9},{12,25,9},{21,31,1470},{20,31,561},{20,29,609},{20,28,461},{19,31,1895},{18,31,578},{18,28,19},{17,26,582},{12,31,1761},{13,26,442},{22,31,590},{21,31,59},{22,28,34},{21,28,58},{30,16,1514},{17,31,530},{18,28,18},{14,26,433},{31,21,1514},{14,26,433},{20,31,461},{20,31,461},{20,31,461},{20,27,449},{18,31,341},{18,28,19},{18,28,19},
{18,24,26},{11,30,341},{14,25,45},{21,31,10},{21,31,10},{21,31,10},{21,27,10},{29,13,338},{17,29,2},{17,29,2},{17,24,16},{28,20,338},{17,24,16},{31,19,421},{21,31,50},{23,28,4},{19,28,0},{31,19,421},{30,24,421},{19,28,0},{0,26,433},{30,24,421},{0,26,433},{20,0,445},{20,0,445},{20,0,445},{20,0,445},{18,27,2},{18,27,2},{18,27,2},{18,23,10},{12,27,5},
{12,27,5},{22,31,1674},{21,31,753},{21,30,603},{21,29,443},{21,31,2046},{19,31,629},{19,29,21},{19,27,589},{15,31,1917},{14,27,462},{24,31,674},{23,31,120},{23,29,33},{22,29,53},{30,19,1514},{19,31,629},{19,29,21},{15,27,446},{27,25,1514},{15,27,446},{21,31,497},{21,31,497},{21,31,497},{21,28,437},{19,31,388},{19,29,20},{19,29,20},{19,25,29},{12,31,347},{15,26,46},{23,30,17},
{23,30,17},{23,30,17},{22,28,17},{29,16,338},{18,30,4},{18,30,4},{17,26,10},{31,20,338},{17,26,10},{30,23,421},{23,31,104},{24,29,5},{20,29,1},{30,23,421},{30,26,421},{20,29,1},{0,27,445},{30,26,421},{0,27,445},{21,0,433},{21,0,433},{21,0,433},{21,0,433},{19,28,1},{19,28,1},{19,28,1},{19,25,4},{14,28,8},{14,28,8},{23,31,1902},{22,31,995},{22,31,603},
{22,30,443},{22,31,2235},{20,31,759},{20,30,15},{19,28,578},{17,31,2118},{15,28,443},{25,31,770},{24,31,250},{24,30,35},{23,30,53},{29,23,1514},{21,31,701},{20,30,14},{16,28,433},{28,26,1514},{16,28,433},{22,31,554},{22,31,554},{22,31,554},{22,29,437},{21,31,437},{20,30,14},{20,30,14},{20,26,30},{14,31,379},{16,27,35},{24,31,25},{24,31,25},{24,31,25},{23,29,17},{30,17,338},
{19,31,4},{19,31,4},{18,27,10},{25,25,338},{18,27,10},{31,24,421},{25,31,169},{25,30,5},{21,30,1},{31,24,421},{31,27,421},{21,30,1},{0,28,433},{31,27,421},{0,28,433},{22,0,433},{22,0,433},{22,0,433},{22,0,433},{20,29,2},{20,29,2},{20,29,2},{20,26,5},{15,29,8},{15,29,8},{24,31,2045},{24,31,1233},{23,31,629},{23,31,442},{24,31,2360},{22,31,914},{21,31,14},
{20,29,549},{19,31,2241},{16,29,409},{26,31,849},{25,31,395},{25,31,34},{24,31,45},{30,24,1459},{23,31,778},{21,31,13},{17,29,400},{29,27,1459},{17,29,400},{23,31,629},{23,31,629},{23,31,629},{23,30,437},{22,31,491},{21,31,14},{21,31,14},{21,27,30},{16,31,446},{17,28,45},{25,31,34},{25,31,34},{25,31,34},{24,30,10},{31,18,338},{21,31,13},{21,31,13},{19,28,17},{26,26,338},
{19,28,17},{30,28,392},{27,31,218},{26,31,4},{22,31,0},{30,28,392},{28,30,392},{22,31,0},{0,29,400},{28,30,392},{0,29,400},{23,0,433},{23,0,433},{23,0,433},{23,0,433},{21,30,2},{21,30,2},{21,30,2},{21,27,5},{16,29,9},{16,29,9},{25,31,1767},{25,31,1167},{24,31,701},{24,31,449},{24,31,1976},{23,31,747},{22,31,66},{22,29,337},{20,31,1820},{17,30,217},{27,31,611},
{26,31,317},{26,31,61},{25,31,10},{31,24,1064},{25,31,587},{23,31,41},{18,30,208},{24,31,1064},{18,30,208},{24,31,701},{24,31,701},{24,31,701},{24,31,449},{23,31,581},{22,31,66},{22,31,66},{22,28,26},{18,31,530},{18,29,45},{26,31,61},{26,31,61},{26,31,61},{25,31,10},{30,22,338},{23,31,41},{23,31,41},{21,28,16},{27,27,338},{21,28,16},{29,31,200},{28,31,106},{27,31,1},
{25,31,1},{29,31,200},{31,29,200},{25,31,1},{0,30,208},{31,29,200},{0,30,208},{24,0,445},{24,0,445},{24,0,445},{24,0,445},{22,31,2},{22,31,2},{22,31,2},{22,27,10},{16,31,5},{16,31,5},{26,31,1542},{26,31,1122},{25,31,833},{25,31,497},{26,31,1647},{24,31,687},{24,31,203},{23,30,122},{22,31,1515},{19,30,110},{28,31,410},{28,31,266},{27,31,116},{27,31,20},{31,26,722},
{26,31,402},{25,31,100},{21,30,74},{29,29,722},{21,30,74},{25,31,833},{25,31,833},{25,31,833},{25,31,497},{24,31,707},{24,31,203},{24,31,203},{23,29,29},{20,31,619},{19,30,46},{27,31,116},{27,31,116},{27,31,116},{27,31,20},{30,25,338},{25,31,100},{25,31,100},{21,30,10},{30,27,338},{21,30,10},{31,29,61},{29,31,37},{29,31,1},{27,31,4},{31,29,61},{31,30,61},{27,31,4},
{0,30,73},{31,30,61},{0,30,73},{25,0,433},{25,0,433},{25,0,433},{25,0,433},{23,31,25},{23,31,25},{23,31,25},{23,29,4},{18,31,17},{18,31,17},{27,31,1406},{27,31,1134},{26,31,962},{26,31,602},{27,31,1454},{25,31,702},{25,31,341},{24,31,59},{24,31,1378},{20,31,35},{29,31,318},{28,31,250},{28,31,169},{28,31,61},{30,29,509},{28,31,313},{27,31,164},{22,31,10},{29,30,509},
{22,31,10},{26,31,962},{26,31,962},{26,31,962},{26,31,602},{26,31,827},{25,31,341},{25,31,341},{24,30,30},{22,31,747},{20,31,35},{28,31,169},{28,31,169},{28,31,169},{28,31,61},{31,26,338},{27,31,164},{27,31,164},{22,31,10},{29,29,338},{22,31,10},{31,30,9},{31,31,9},{30,31,4},{30,31,0},{31,30,9},{30,31,9},{30,31,0},{0,31,9},{30,31,9},{0,31,9},{26,0,433},
{26,0,433},{26,0,433},{26,0,433},{24,31,50},{24,31,50},{24,31,50},{24,30,5},{20,31,26},{20,31,26},{28,31,1135},{28,31,991},{27,31,874},{27,31,602},{28,31,1162},{26,31,618},{26,31,362},{25,31,5},{25,31,1087},{22,31,58},{30,31,219},{29,31,161},{29,31,125},{29,31,61},{31,29,297},{29,31,193},{28,31,117},{24,31,1},{30,30,297},{24,31,1},{27,31,874},{27,31,874},{27,31,874},
{27,31,602},{27,31,730},{26,31,362},{26,31,362},{25,31,5},{24,31,681},{22,31,58},{29,31,125},{29,31,125},{29,31,125},{29,31,61},{30,29,221},{28,31,117},{28,31,117},{24,31,1},{31,29,221},{24,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{27,0,433},{27,0,433},{27,0,433},{27,0,433},{25,31,101},
{25,31,101},{25,31,101},{25,31,5},{22,31,58},{22,31,58},{29,31,885},{28,31,751},{28,31,670},{28,31,526},{28,31,778},{27,31,483},{27,31,314},{26,31,10},{26,31,777},{24,31,117},{30,31,75},{30,31,59},{30,31,50},{30,31,34},{30,31,114},{29,31,81},{29,31,45},{27,31,0},{31,30,114},{27,31,0},{28,31,670},{28,31,670},{28,31,670},{28,31,526},{28,31,553},{27,31,314},{27,31,314},
{26,31,10},{25,31,518},{24,31,117},{30,31,50},{30,31,50},{30,31,50},{30,31,34},{31,29,85},{29,31,45},{29,31,45},{27,31,0},{29,31,85},{27,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{28,0,445},{28,0,445},{28,0,445},{28,0,445},{27,31,145},{27,31,145},{27,31,145},{26,31,10},{24,31,117},
{24,31,117},{0,13,884},{0,10,225},{0,7,18},{0,6,265},{0,9,1899},{0,7,1355},{0,6,589},{0,4,1354},{0,5,2124},{0,4,1498},{0,13,884},{0,10,225},{0,7,18},{0,6,265},{4,2,1896},{0,7,1355},{0,6,589},{0,4,1354},{7,1,1896},{0,4,1354},{0,6,0},{0,6,0},{0,6,0},{0,4,4},{0,3,162},{0,3,90},{0,3,90},{0,2,104},{0,2,200},{0,1,134},{0,6,0},
{0,6,0},{0,6,0},{0,4,4},{0,3,162},{0,3,90},{0,3,90},{0,2,104},{3,0,162},{0,2,104},{6,3,882},{0,10,225},{0,7,18},{0,6,265},{6,3,882},{8,3,882},{0,6,265},{0,5,890},{8,3,882},{0,5,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,15,884},{0,12,170},{0,8,8},
{0,7,202},{0,10,2360},{0,8,1530},{0,7,643},{0,5,1579},{0,6,2684},{0,5,1804},{0,15,884},{0,12,170},{0,8,8},{0,7,202},{5,2,2355},{0,8,1530},{0,7,643},{0,5,1579},{7,2,2355},{0,5,1579},{0,9,1},{0,9,1},{0,9,1},{0,5,1},{0,4,340},{0,4,180},{0,4,180},{0,2,200},{0,2,392},{0,2,236},{0,9,1},{0,9,1},{0,9,1},{0,5,1},{2,1,338},
{0,4,180},{0,4,180},{0,2,200},{1,2,338},{0,2,200},{8,2,882},{0,12,170},{0,8,8},{0,7,202},{8,2,882},{12,2,882},{0,7,202},{0,6,890},{12,2,882},{0,6,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,18,882},{0,14,106},{0,10,52},{0,9,148},{0,12,2899},{0,9,1773},{0,8,725},
{0,6,1854},{0,7,3348},{0,5,2124},{0,18,882},{0,14,106},{0,10,52},{0,9,148},{2,9,2899},{0,9,1773},{0,8,725},{0,6,1854},{12,0,2899},{0,6,1854},{0,11,1},{0,11,1},{0,11,1},{0,7,1},{0,6,580},{0,5,306},{0,5,306},{0,3,325},{0,3,667},{0,3,406},{0,11,1},{0,11,1},{0,11,1},{0,7,1},{1,4,578},{0,5,306},{0,5,306},{0,3,325},{4,1,578},
{0,3,325},{9,3,882},{0,14,106},{1,9,8},{0,9,148},{9,3,882},{18,0,882},{0,9,148},{0,7,890},{18,0,882},{0,7,890},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,21,920},{0,16,89},{1,11,120},{0,10,121},{0,14,3051},{0,11,1709},{0,9,557},{0,7,1795},{0,8,3651},{0,6,2174},{1,19,886},
{0,16,89},{1,11,56},{0,10,121},{8,1,3048},{0,11,1709},{0,9,557},{0,7,1795},{6,5,3048},{0,7,1795},{0,14,37},{0,14,37},{0,14,37},{0,8,37},{0,8,648},{0,7,274},{0,7,274},{0,4,277},{0,4,824},{0,4,421},{1,12,4},{1,12,4},{1,12,4},{1,8,8},{3,3,648},{0,7,274},{0,7,274},{0,4,277},{8,0,648},{0,4,277},{10,4,882},{0,16,53},{2,10,8},
{0,10,85},{10,4,882},{19,1,882},{0,10,85},{0,8,900},{19,1,882},{0,8,900},{0,0,36},{0,0,36},{0,0,36},{0,0,36},{0,2,0},{0,2,0},{0,2,0},{0,1,1},{0,1,10},{0,1,10},{1,22,995},{1,17,158},{1,12,230},{1,11,186},{0,17,3051},{0,13,1579},{0,10,346},{0,8,1630},{0,9,3924},{0,7,2173},{2,20,885},{2,16,90},{2,12,53},{1,11,122},{8,4,3048},
{0,13,1579},{0,10,346},{0,8,1630},{14,2,3048},{0,8,1630},{1,15,113},{1,15,113},{1,15,113},{1,9,117},{0,11,648},{0,9,169},{0,9,169},{0,5,200},{0,6,990},{0,5,425},{2,13,2},{2,13,2},{2,13,2},{2,9,2},{6,1,648},{0,9,169},{0,9,169},{0,5,200},{11,0,648},{0,5,200},{13,2,882},{0,18,17},{3,11,18},{0,11,34},{13,2,882},{22,1,882},{0,11,34},
{0,9,890},{22,1,882},{0,9,890},{1,0,113},{1,0,113},{1,0,113},{1,0,113},{0,5,0},{0,5,0},{0,5,0},{0,3,0},{0,2,61},{0,2,61},{1,24,1173},{1,19,306},{2,13,422},{1,12,318},{0,20,3048},{0,15,1443},{0,12,204},{0,9,1483},{0,11,4212},{0,8,2174},{3,21,885},{3,17,90},{3,13,53},{2,12,117},{12,0,3048},{0,15,1443},{0,12,204},{0,9,1483},{20,0,3048},
{0,9,1483},{1,18,290},{1,18,290},{1,18,290},{1,11,289},{0,13,650},{0,11,109},{0,11,109},{0,7,148},{0,7,1161},{0,6,473},{3,14,2},{3,14,2},{3,14,2},{3,10,2},{8,0,648},{0,11,109},{0,11,109},{0,7,148},{5,5,648},{0,7,148},{14,3,882},{0,20,8},{4,12,8},{0,12,8},{14,3,882},{26,0,882},{0,12,8},{0,10,890},{26,0,882},{0,10,890},{1,0,289},
{1,0,289},{1,0,289},{1,0,289},{0,8,1},{0,8,1},{0,8,1},{0,5,4},{0,3,145},{0,3,145},{2,25,1365},{2,20,497},{2,14,713},{2,13,510},{0,23,3051},{0,16,1278},{0,13,86},{0,10,1354},{0,12,4609},{0,9,2228},{4,22,886},{3,19,94},{4,14,56},{3,13,117},{13,1,3048},{0,16,1278},{0,13,86},{0,10,1354},{21,1,3048},{0,10,1354},{2,19,482},{2,19,482},{2,19,482},
{2,12,481},{0,16,648},{0,12,72},{0,12,72},{0,8,101},{0,8,1352},{0,7,557},{4,15,5},{4,15,5},{4,15,5},{4,11,5},{9,1,648},{0,12,72},{0,12,72},{0,8,101},{16,0,648},{0,8,101},{16,2,882},{1,21,8},{5,13,8},{0,13,5},{16,2,882},{27,1,882},{0,13,5},{0,11,890},{27,1,882},{0,11,890},{2,0,481},{2,0,481},{2,0,481},{2,0,481},{0,10,1},
{0,10,1},{0,10,1},{0,6,1},{0,5,261},{0,5,261},{2,28,1667},{2,22,793},{3,15,1033},{2,14,793},{0,25,3048},{0,18,1170},{0,14,36},{0,11,1243},{0,14,5005},{0,10,2318},{5,23,886},{4,20,89},{5,15,56},{4,14,121},{14,2,3048},{0,18,1170},{0,14,36},{0,11,1243},{25,0,3048},{0,11,1243},{2,21,786},{2,21,786},{2,21,786},{2,14,789},{0,19,650},{0,14,32},{0,14,32},
{0,9,50},{0,9,1619},{0,8,661},{5,16,4},{5,16,4},{5,16,4},{5,12,8},{10,2,648},{0,14,32},{0,14,32},{0,9,50},{17,1,648},{0,9,50},{17,3,882},{2,22,8},{6,14,8},{1,14,5},{17,3,882},{28,2,882},{1,14,5},{0,12,900},{28,2,882},{0,12,900},{2,0,785},{2,0,785},{2,0,785},{2,0,785},{0,13,1},{0,13,1},{0,13,1},{0,8,4},{0,6,405},
{0,6,405},{3,29,1784},{3,23,902},{4,16,1186},{3,15,910},{1,26,3055},{0,20,1095},{1,15,47},{0,12,1159},{0,16,4945},{0,12,2084},{6,24,885},{6,20,90},{6,16,53},{5,15,122},{12,8,3048},{0,20,1059},{0,16,41},{0,12,1123},{28,0,3048},{0,12,1123},{3,23,901},{3,23,901},{3,23,901},{3,15,901},{1,20,652},{1,15,38},{1,15,38},{1,10,44},{0,11,1577},{0,9,545},{6,17,2},
{6,17,2},{6,17,2},{6,13,2},{13,0,648},{0,16,5},{0,16,5},{0,10,13},{20,1,648},{0,10,13},{17,6,882},{3,23,2},{7,15,18},{3,15,10},{17,6,882},{31,2,882},{3,15,10},{0,13,890},{31,2,882},{0,13,890},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{1,14,4},{1,14,4},{1,14,4},{1,9,5},{0,8,373},{0,8,373},{4,30,1772},{4,24,898},{5,17,1186},
{4,16,898},{2,27,3055},{1,21,1095},{2,16,33},{1,13,1159},{0,17,4639},{0,13,1730},{7,25,885},{7,21,90},{7,17,53},{6,16,117},{16,4,3048},{0,21,996},{2,16,29},{0,13,1054},{29,1,3048},{0,13,1054},{4,23,891},{4,23,891},{4,23,891},{4,16,894},{2,21,652},{2,16,29},{2,16,29},{2,11,44},{0,13,1452},{0,11,365},{7,18,2},{7,18,2},{7,18,2},{7,14,2},{14,1,648},
{0,18,1},{0,18,1},{0,11,4},{24,0,648},{0,11,4},{22,0,882},{4,24,8},{8,16,8},{3,16,5},{22,0,882},{30,4,882},{3,16,5},{0,14,890},{30,4,882},{0,14,890},{4,0,890},{4,0,890},{4,0,890},{4,0,890},{2,15,4},{2,15,4},{2,15,4},{2,10,5},{0,9,269},{0,9,269},{5,31,1772},{5,25,898},{6,18,1186},{5,17,898},{3,28,3055},{2,22,1095},{3,17,33},
{2,14,1159},{0,19,4419},{0,14,1444},{8,26,886},{7,23,94},{8,18,56},{7,17,117},{17,5,3048},{0,23,936},{3,17,29},{0,14,1003},{30,2,3048},{0,14,1003},{5,24,891},{5,24,891},{5,24,891},{5,17,894},{3,22,652},{3,17,29},{3,17,29},{3,12,41},{0,15,1296},{0,12,235},{8,19,5},{8,19,5},{8,19,5},{8,15,5},{16,0,648},{1,19,1},{1,19,1},{1,12,1},{25,1,648},
{1,12,1},{23,1,882},{5,25,8},{9,17,8},{4,17,5},{23,1,882},{31,5,882},{4,17,5},{0,15,890},{31,5,882},{0,15,890},{5,0,890},{5,0,890},{5,0,890},{5,0,890},{3,16,4},{3,16,4},{3,16,4},{3,11,5},{0,11,185},{0,11,185},{6,31,1790},{6,26,898},{7,19,1186},{6,18,898},{4,29,3057},{3,23,1095},{4,18,45},{3,15,1159},{0,20,4156},{0,15,1226},{9,27,886},
{8,24,89},{9,19,56},{8,18,121},{18,6,3048},{0,25,909},{4,18,36},{0,15,970},{31,3,3048},{0,15,970},{6,25,891},{6,25,891},{6,25,891},{6,18,894},{4,23,659},{4,18,41},{4,18,41},{3,13,46},{0,16,1137},{0,13,137},{9,20,4},{9,20,4},{9,20,4},{9,16,8},{17,1,648},{2,20,2},{2,20,2},{2,13,1},{26,2,648},{2,13,1},{24,2,882},{6,26,8},{10,18,8},
{5,18,5},{24,2,882},{27,9,882},{5,18,5},{0,16,900},{27,9,882},{0,16,900},{6,0,890},{6,0,890},{6,0,890},{6,0,890},{4,17,10},{4,17,10},{4,17,10},{4,12,13},{0,13,136},{0,13,136},{8,31,1844},{7,27,902},{8,20,1186},{7,19,910},{5,30,3055},{4,24,1095},{5,19,47},{4,16,1159},{0,22,3940},{0,16,1055},{10,28,885},{10,24,90},{10,20,53},{9,19,122},{22,2,3048},
{0,27,886},{4,20,41},{0,17,926},{22,10,3048},{0,17,926},{7,27,901},{7,27,901},{7,27,901},{7,19,901},{5,24,652},{5,19,38},{5,19,38},{5,14,44},{0,18,1002},{0,15,110},{10,21,2},{10,21,2},{10,21,2},{10,17,2},{17,4,648},{3,21,4},{3,21,4},{3,14,5},{29,2,648},{3,14,5},{27,0,882},{7,27,2},{11,19,18},{7,19,10},{27,0,882},{30,9,882},{7,19,10},
{0,17,890},{30,9,882},{0,17,890},{7,0,900},{7,0,900},{7,0,900},{7,0,900},{5,18,4},{5,18,4},{5,18,4},{5,13,5},{0,15,74},{0,15,74},{9,31,1886},{8,28,898},{9,21,1186},{8,20,898},{6,31,3055},{5,25,1095},{6,20,33},{5,17,1159},{0,23,3820},{0,18,963},{11,29,885},{11,25,90},{11,21,53},{10,20,117},{23,3,3048},{1,28,888},{6,20,29},{0,18,899},{28,8,3048},
{0,18,899},{8,27,891},{8,27,891},{8,27,891},{8,20,894},{6,25,652},{6,20,29},{6,20,29},{6,15,44},{0,20,876},{0,16,102},{11,22,2},{11,22,2},{11,22,2},{11,18,2},{18,5,648},{4,22,1},{4,22,1},{4,15,4},{30,3,648},{4,15,4},{26,4,882},{8,28,8},{12,20,8},{7,20,5},{26,4,882},{31,10,882},{7,20,5},{0,18,890},{31,10,882},{0,18,890},{8,0,890},
{8,0,890},{8,0,890},{8,0,890},{6,19,4},{6,19,4},{6,19,4},{6,14,5},{0,17,29},{0,17,29},{10,31,1964},{9,29,898},{10,22,1186},{9,21,898},{7,31,3100},{6,26,1095},{7,21,33},{6,18,1159},{0,25,3679},{0,19,899},{12,30,886},{11,27,94},{12,22,56},{11,21,117},{21,9,3048},{2,29,888},{7,21,29},{0,19,890},{29,9,3048},{0,19,890},{9,28,891},{9,28,891},{9,28,891},
{9,21,894},{7,26,652},{7,21,29},{7,21,29},{7,16,41},{0,22,800},{2,16,98},{12,23,5},{12,23,5},{12,23,5},{12,19,5},{20,4,648},{5,23,1},{5,23,1},{5,16,1},{29,5,648},{5,16,1},{30,0,882},{9,29,8},{13,21,8},{8,21,5},{30,0,882},{30,12,882},{8,21,5},{0,19,890},{30,12,882},{0,19,890},{9,0,890},{9,0,890},{9,0,890},{9,0,890},{7,20,4},
{7,20,4},{7,20,4},{7,15,5},{0,19,9},{0,19,9},{11,31,2078},{10,30,898},{11,23,1186},{10,22,898},{9,31,3181},{7,27,1095},{8,22,45},{7,19,1159},{0,27,3523},{0,20,908},{13,31,886},{12,28,89},{13,23,56},{12,22,121},{22,10,3048},{3,30,888},{8,22,36},{1,20,901},{30,10,3048},{1,20,901},{10,29,891},{10,29,891},{10,29,891},{10,22,894},{8,27,659},{8,22,41},{8,22,41},
{7,17,46},{0,23,747},{3,17,98},{13,24,4},{13,24,4},{13,24,4},{13,20,8},{24,0,648},{6,24,2},{6,24,2},{6,17,1},{30,6,648},{6,17,1},{31,1,882},{10,30,8},{14,22,8},{9,22,5},{31,1,882},{31,13,882},{9,22,5},{0,20,900},{31,13,882},{0,20,900},{10,0,890},{10,0,890},{10,0,890},{10,0,890},{8,21,10},{8,21,10},{8,21,10},{8,16,13},{0,20,8},
{0,20,8},{12,31,2228},{11,31,902},{12,24,1186},{11,23,910},{10,31,3256},{8,28,1095},{9,23,47},{8,20,1159},{0,29,3364},{2,21,894},{14,31,915},{14,28,90},{14,24,53},{13,23,122},{29,1,3048},{4,31,886},{8,24,41},{2,21,890},{26,14,3048},{2,21,890},{11,31,901},{11,31,901},{11,31,901},{11,23,901},{9,28,652},{9,23,38},{9,23,38},{9,18,44},{0,25,705},{3,19,101},{14,25,2},
{14,25,2},{14,25,2},{14,21,2},{24,3,648},{7,25,4},{7,25,4},{7,18,5},{28,9,648},{7,18,5},{31,4,882},{11,31,2},{15,23,18},{11,23,10},{31,4,882},{24,19,882},{11,23,10},{0,21,890},{24,19,882},{0,21,890},{11,0,900},{11,0,900},{11,0,900},{11,0,900},{9,22,4},{9,22,4},{9,22,4},{9,17,5},{2,21,4},{2,21,4},{13,31,2414},{12,31,907},{13,25,1186},
{12,24,898},{11,31,3391},{9,29,1095},{10,24,33},{9,21,1159},{0,31,3276},{3,22,894},{15,31,981},{15,29,90},{15,25,53},{14,24,117},{30,2,3048},{6,31,906},{10,24,29},{3,22,890},{27,15,3048},{3,22,890},{12,31,891},{12,31,891},{12,31,891},{12,24,894},{10,29,652},{10,24,29},{10,24,29},{10,19,44},{0,27,665},{4,20,102},{15,26,2},{15,26,2},{15,26,2},{15,22,2},{22,9,648},
{8,26,1},{8,26,1},{8,19,4},{29,10,648},{8,19,4},{30,8,882},{12,31,17},{16,24,8},{11,24,5},{30,8,882},{28,18,882},{11,24,5},{0,22,890},{28,18,882},{0,22,890},{12,0,890},{12,0,890},{12,0,890},{12,0,890},{10,23,4},{10,23,4},{10,23,4},{10,18,5},{3,22,4},{3,22,4},{15,31,2606},{13,31,987},{14,26,1186},{13,25,898},{13,31,3517},{10,30,1095},{11,25,33},
{10,22,1159},{1,31,3300},{4,23,899},{17,31,1014},{15,31,94},{16,26,56},{15,25,117},{31,3,3048},{8,31,936},{11,25,29},{4,23,890},{23,19,3048},{4,23,890},{13,31,906},{13,31,906},{13,31,906},{13,25,894},{11,30,652},{11,25,29},{11,25,29},{11,20,41},{0,29,651},{6,20,98},{16,27,5},{16,27,5},{16,27,5},{16,23,5},{24,8,648},{9,27,1},{9,27,1},{9,20,1},{30,11,648},
{9,20,1},{31,9,882},{14,31,37},{17,25,8},{12,25,5},{31,9,882},{29,19,882},{12,25,5},{0,23,890},{29,19,882},{0,23,890},{13,0,890},{13,0,890},{13,0,890},{13,0,890},{11,24,4},{11,24,4},{11,24,4},{11,19,5},{3,24,5},{3,24,5},{16,31,2792},{15,31,1079},{15,27,1186},{14,26,898},{14,31,3652},{11,31,1095},{12,26,45},{11,23,1159},{3,31,3436},{4,24,908},{18,31,1080},
{17,31,110},{17,27,56},{16,26,121},{26,14,3048},{10,31,996},{12,26,36},{5,24,901},{22,21,3048},{5,24,901},{14,31,939},{14,31,939},{14,31,939},{14,26,894},{12,31,659},{12,26,41},{12,26,41},{11,21,46},{1,30,651},{7,21,98},{17,28,4},{17,28,4},{17,28,4},{17,24,8},{28,4,648},{10,28,2},{10,28,2},{10,21,1},{29,13,648},{10,21,1},{29,15,882},{16,31,80},{18,26,8},
{13,26,5},{29,15,882},{30,20,882},{13,26,5},{0,24,900},{30,20,882},{0,24,900},{14,0,890},{14,0,890},{14,0,890},{14,0,890},{12,25,10},{12,25,10},{12,25,10},{12,20,13},{4,24,8},{4,24,8},{17,31,3038},{16,31,1268},{16,28,1186},{15,27,910},{15,31,3879},{12,31,1146},{13,27,47},{12,24,1159},{5,31,3667},{6,25,894},{19,31,1205},{18,31,147},{18,28,53},{17,27,122},{30,10,3048},
{12,31,1110},{12,28,41},{6,25,890},{30,18,3048},{6,25,890},{16,31,979},{16,31,979},{16,31,979},{15,27,901},{13,31,670},{13,27,38},{13,27,38},{13,22,44},{2,31,648},{7,23,101},{18,29,2},{18,29,2},{18,29,2},{18,25,2},{31,2,648},{11,29,4},{11,29,4},{11,22,5},{27,16,648},{11,22,5},{29,18,882},{18,31,146},{19,27,18},{15,27,10},{29,18,882},{28,23,882},{15,27,10},
{0,25,890},{28,23,882},{0,25,890},{15,0,900},{15,0,900},{15,0,900},{15,0,900},{13,26,4},{13,26,4},{13,26,4},{13,21,5},{6,25,4},{6,25,4},{18,31,3308},{17,31,1502},{17,29,1186},{16,28,898},{17,31,4077},{14,31,1230},{14,28,33},{13,25,1159},{8,31,3820},{7,26,894},{21,31,1368},{19,31,261},{19,29,53},{18,28,117},{31,11,3048},{14,31,1226},{14,28,29},{7,26,890},{31,19,3048},
{7,26,890},{17,31,1018},{17,31,1018},{17,31,1018},{16,28,894},{14,31,724},{14,28,29},{14,28,29},{14,23,44},{4,31,665},{8,24,102},{19,30,2},{19,30,2},{19,30,2},{19,26,2},{26,13,648},{12,30,1},{12,30,1},{12,23,4},{21,21,648},{12,23,4},{30,19,882},{20,31,193},{20,28,8},{15,28,5},{30,19,882},{27,25,882},{15,28,5},{0,26,890},{27,25,882},{0,26,890},{16,0,890},
{16,0,890},{16,0,890},{16,0,890},{14,27,4},{14,27,4},{14,27,4},{14,22,5},{7,26,4},{7,26,4},{19,31,3614},{18,31,1804},{18,30,1186},{17,29,898},{18,31,4284},{15,31,1417},{15,29,33},{14,26,1159},{9,31,4036},{8,27,899},{22,31,1494},{20,31,405},{20,30,56},{19,29,117},{29,17,3048},{16,31,1395},{15,29,29},{8,27,890},{27,23,3048},{8,27,890},{18,31,1075},{18,31,1075},{18,31,1075},
{17,29,894},{16,31,787},{15,29,29},{15,29,29},{15,24,41},{6,31,705},{10,24,98},{20,31,5},{20,31,5},{20,31,5},{20,27,5},{28,12,648},{13,31,1},{13,31,1},{13,24,1},{22,22,648},{13,24,1},{29,23,882},{22,31,277},{21,29,8},{16,29,5},{29,23,882},{28,26,882},{16,29,5},{0,27,890},{28,26,882},{0,27,890},{17,0,890},{17,0,890},{17,0,890},{17,0,890},{15,28,4},
{15,28,4},{15,28,4},{15,23,5},{7,28,5},{7,28,5},{20,31,4014},{19,31,2174},{19,31,1186},{18,30,898},{19,31,4545},{17,31,1725},{16,30,45},{15,27,1159},{11,31,4300},{8,28,908},{23,31,1656},{22,31,585},{21,31,56},{20,30,121},{30,18,3048},{18,31,1563},{16,30,36},{9,28,901},{26,25,3048},{9,28,901},{19,31,1150},{19,31,1150},{19,31,1150},{18,30,894},{17,31,841},{16,30,41},{16,30,41},
{15,25,46},{8,31,747},{11,25,98},{21,31,20},{21,31,20},{21,31,20},{21,28,8},{29,13,648},{15,31,5},{15,31,5},{14,25,1},{28,20,648},{14,25,1},{30,24,882},{23,31,397},{22,30,8},{17,30,5},{30,24,882},{29,27,882},{17,30,5},{0,28,900},{29,27,882},{0,28,900},{18,0,890},{18,0,890},{18,0,890},{18,0,890},{16,29,10},{16,29,10},{16,29,10},{16,24,13},{8,28,8},
{8,28,8},{22,31,4123},{21,31,2404},{20,31,1278},{19,31,901},{20,31,4626},{18,31,1849},{17,31,38},{16,28,1006},{14,31,4330},{10,29,789},{24,31,1629},{23,31,715},{22,31,65},{22,30,101},{31,19,2814},{20,31,1505},{17,31,34},{10,29,785},{27,26,2814},{10,29,785},{20,31,1278},{20,31,1278},{20,31,1278},{19,31,901},{18,31,948},{17,31,38},{17,31,38},{17,26,44},{10,31,840},{11,27,101},{22,31,65},
{22,31,65},{22,31,65},{22,29,2},{29,16,648},{17,31,34},{17,31,34},{15,26,5},{31,20,648},{15,26,5},{31,25,761},{25,31,425},{23,31,9},{19,31,1},{31,25,761},{28,29,761},{19,31,1},{0,29,785},{28,29,761},{0,29,785},{19,0,900},{19,0,900},{19,0,900},{19,0,900},{17,30,4},{17,30,4},{17,30,4},{17,25,5},{10,29,4},{10,29,4},{23,31,3735},{22,31,2314},{21,31,1395},
{20,31,899},{22,31,4090},{19,31,1618},{18,31,104},{17,29,686},{15,31,3826},{11,29,507},{25,31,1285},{24,31,609},{23,31,122},{23,31,37},{30,22,2249},{21,31,1186},{19,31,74},{13,29,482},{27,27,2249},{13,29,482},{21,31,1395},{21,31,1395},{21,31,1395},{20,31,899},{19,31,1086},{18,31,104},{18,31,104},{18,27,44},{12,31,969},{12,28,102},{23,31,122},{23,31,122},{23,31,122},{23,30,2},{30,17,648},
{19,31,74},{19,31,74},{16,27,4},{25,25,648},{16,27,4},{31,26,481},{27,31,269},{25,31,0},{21,31,0},{31,26,481},{31,28,481},{21,31,0},{0,29,481},{31,28,481},{0,29,481},{20,0,890},{20,0,890},{20,0,890},{20,0,890},{18,31,4},{18,31,4},{18,31,4},{18,26,5},{11,30,4},{11,30,4},{23,31,3399},{23,31,2260},{22,31,1530},{21,31,954},{23,31,3639},{20,31,1402},{19,31,238},
{18,29,405},{17,31,3443},{12,30,314},{26,31,1009},{25,31,525},{25,31,164},{24,31,5},{30,24,1769},{23,31,918},{21,31,113},{14,30,290},{29,27,1769},{14,30,290},{22,31,1530},{22,31,1530},{22,31,1530},{21,31,954},{21,31,1251},{19,31,238},{19,31,238},{19,28,41},{14,31,1105},{14,28,98},{25,31,164},{25,31,164},{25,31,164},{24,31,5},{31,18,648},{21,31,113},{21,31,113},{17,28,1},{26,26,648},
{17,28,1},{30,29,265},{28,31,145},{27,31,4},{24,31,1},{30,29,265},{29,30,265},{24,31,1},{0,30,289},{29,30,265},{0,30,289},{21,0,890},{21,0,890},{21,0,890},{21,0,890},{19,31,13},{19,31,13},{19,31,13},{19,27,5},{12,31,9},{12,31,9},{24,31,3069},{24,31,2257},{23,31,1683},{23,31,1054},{24,31,3258},{22,31,1330},{21,31,378},{19,30,213},{20,31,3102},{14,30,166},{27,31,801},
{26,31,477},{26,31,221},{25,31,20},{31,24,1374},{24,31,758},{23,31,181},{16,30,114},{24,31,1374},{16,30,114},{23,31,1683},{23,31,1683},{23,31,1683},{23,31,1054},{22,31,1401},{21,31,378},{21,31,378},{19,29,46},{16,31,1296},{15,29,98},{26,31,221},{26,31,221},{26,31,221},{25,31,20},{30,22,648},{23,31,181},{23,31,181},{18,29,1},{27,27,648},{18,29,1},{30,30,113},{29,31,61},{28,31,0},
{26,31,1},{30,30,113},{30,30,113},{26,31,1},{0,30,113},{30,30,113},{0,30,113},{22,0,890},{22,0,890},{22,0,890},{22,0,890},{20,31,45},{20,31,45},{20,31,45},{20,28,13},{13,31,25},{13,31,25},{25,31,2860},{25,31,2260},{24,31,1854},{24,31,1210},{25,31,2932},{23,31,1310},{22,31,609},{21,30,108},{21,31,2731},{15,31,101},{28,31,630},{27,31,475},{27,31,306},{26,31,101},{31,26,1032},
{26,31,612},{25,31,290},{18,31,37},{29,29,1032},{18,31,37},{24,31,1854},{24,31,1854},{24,31,1854},{24,31,1210},{23,31,1620},{22,31,609},{22,31,609},{21,30,44},{18,31,1515},{15,31,101},{27,31,306},{27,31,306},{27,31,306},{26,31,101},{30,25,648},{25,31,290},{25,31,290},{19,30,5},{30,27,648},{19,30,5},{31,30,18},{30,31,10},{30,31,1},{29,31,0},{31,30,18},{30,31,18},{29,31,0},
{0,31,36},{30,31,18},{0,31,36},{23,0,900},{23,0,900},{23,0,900},{23,0,900},{21,31,104},{21,31,104},{21,31,104},{21,29,5},{15,31,65},{15,31,65},{26,31,2626},{26,31,2206},{25,31,1915},{25,31,1315},{26,31,2641},{24,31,1333},{23,31,789},{22,31,40},{22,31,2445},{17,31,116},{29,31,524},{28,31,406},{28,31,325},{27,31,170},{30,29,771},{27,31,507},{26,31,320},{20,31,0},{29,30,771},
{20,31,0},{25,31,1915},{25,31,1915},{25,31,1915},{25,31,1315},{24,31,1661},{23,31,789},{23,31,789},{22,31,40},{20,31,1517},{17,31,116},{28,31,325},{28,31,325},{28,31,325},{27,31,170},{31,26,580},{26,31,320},{26,31,320},{20,31,0},{30,28,580},{20,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{24,0,890},
{24,0,890},{24,0,890},{24,0,890},{23,31,164},{23,31,164},{23,31,164},{22,30,5},{17,31,116},{17,31,116},{27,31,2156},{27,31,1884},{26,31,1630},{26,31,1210},{26,31,2081},{25,31,1108},{24,31,705},{23,31,5},{23,31,1927},{19,31,180},{29,31,300},{29,31,236},{29,31,200},{28,31,85},{31,28,451},{28,31,283},{27,31,194},{23,31,1},{28,31,451},{23,31,1},{26,31,1630},{26,31,1630},{26,31,1630},
{26,31,1210},{25,31,1347},{24,31,705},{24,31,705},{23,31,5},{22,31,1229},{19,31,180},{29,31,200},{29,31,200},{29,31,200},{28,31,85},{31,27,338},{27,31,194},{27,31,194},{23,31,1},{30,29,338},{23,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{25,0,890},{25,0,890},{25,0,890},{25,0,890},{24,31,221},
{24,31,221},{24,31,221},{23,31,5},{19,31,180},{19,31,180},{28,31,1782},{27,31,1564},{27,31,1395},{27,31,1123},{27,31,1620},{26,31,937},{25,31,651},{24,31,25},{24,31,1560},{21,31,233},{30,31,150},{30,31,134},{29,31,104},{29,31,40},{31,29,216},{29,31,136},{28,31,90},{25,31,1},{29,31,216},{25,31,1},{27,31,1395},{27,31,1395},{27,31,1395},{27,31,1123},{26,31,1101},{25,31,651},{25,31,651},
{24,31,25},{23,31,998},{21,31,233},{29,31,104},{29,31,104},{29,31,104},{29,31,40},{31,28,162},{28,31,90},{28,31,90},{25,31,1},{28,31,162},{25,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{26,0,890},{26,0,890},{26,0,890},{26,0,890},{25,31,290},{25,31,290},{25,31,290},{24,31,25},{21,31,233},
{21,31,233},{0,17,1568},{0,14,442},{0,10,40},{0,8,485},{0,11,3379},{0,9,2369},{0,8,1061},{0,5,2435},{0,6,3760},{0,5,2660},{0,17,1568},{0,14,442},{0,10,40},{0,8,485},{7,0,3371},{0,9,2369},{0,8,1061},{0,5,2435},{10,1,3371},{0,5,2435},{0,8,0},{0,8,0},{0,8,0},{0,5,1},{0,4,288},{0,4,160},{0,4,160},{0,2,164},{0,2,332},{0,2,200},{0,8,0},
{0,8,0},{0,8,0},{0,5,1},{0,4,288},{0,4,160},{0,4,160},{0,2,164},{4,0,288},{0,2,164},{9,2,1568},{0,14,442},{0,10,40},{0,8,485},{9,2,1568},{17,0,1568},{0,8,485},{0,6,1586},{17,0,1568},{0,6,1586},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,20,1570},{0,16,325},{0,11,5},
{0,9,392},{0,13,3968},{0,10,2630},{0,9,1121},{0,6,2710},{0,7,4484},{0,6,3034},{0,20,1570},{0,16,325},{0,11,5},{0,9,392},{2,10,3968},{0,10,2630},{0,9,1121},{0,6,2710},{13,0,3968},{0,6,2710},{0,11,1},{0,11,1},{0,11,1},{0,6,4},{0,5,514},{0,5,274},{0,5,274},{0,3,289},{0,3,595},{0,3,370},{0,11,1},{0,11,1},{0,11,1},{0,6,4},{2,2,512},
{0,5,274},{0,5,274},{0,3,289},{2,2,512},{0,3,289},{10,3,1568},{0,16,325},{0,11,5},{0,9,392},{10,3,1568},{18,1,1568},{0,9,392},{0,7,1586},{18,1,1568},{0,7,1586},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,22,1570},{0,17,225},{0,12,18},{0,11,292},{0,15,4652},{0,11,2945},{0,10,1217},
{0,7,3035},{0,8,5283},{0,7,3476},{0,22,1570},{0,17,225},{0,12,18},{0,11,292},{4,8,4651},{0,11,2945},{0,10,1217},{0,7,3035},{13,1,4651},{0,7,3035},{0,13,0},{0,13,0},{0,13,0},{0,8,1},{0,7,802},{0,6,424},{0,6,424},{0,4,449},{0,3,931},{0,3,562},{0,13,0},{0,13,0},{0,13,0},{0,8,1},{4,0,800},{0,6,424},{0,6,424},{0,4,449},{5,1,800},
{0,4,449},{11,4,1568},{0,17,225},{1,12,13},{0,11,292},{11,4,1568},{19,2,1568},{0,11,292},{0,8,1576},{19,2,1568},{0,8,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,25,1570},{0,19,149},{0,13,73},{0,12,194},{0,17,5424},{0,13,3368},{0,11,1349},{0,8,3449},{0,9,6213},{0,7,3956},{0,25,1570},
{0,19,149},{0,13,73},{0,12,194},{10,0,5419},{0,13,3368},{0,11,1349},{0,8,3449},{15,1,5419},{0,8,3449},{0,16,1},{0,16,1},{0,16,1},{0,9,4},{0,8,1152},{0,7,610},{0,7,610},{0,4,625},{0,4,1328},{0,4,769},{0,16,1},{0,16,1},{0,16,1},{0,9,4},{3,3,1152},{0,7,610},{0,7,610},{0,4,625},{8,0,1152},{0,4,625},{15,0,1568},{0,19,149},{2,13,13},
{0,12,194},{15,0,1568},{20,3,1568},{0,12,194},{0,9,1576},{20,3,1568},{0,9,1576},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,26,1633},{0,21,155},{1,14,150},{0,13,198},{0,20,5424},{0,15,3099},{0,12,996},{0,9,3179},{0,10,6544},{0,8,3890},{1,26,1569},{1,20,131},{2,14,69},{1,13,181},{10,3,5419},
{0,15,3099},{0,12,996},{0,9,3179},{18,1,5419},{0,9,3179},{1,17,65},{1,17,65},{1,17,65},{1,11,69},{0,11,1152},{0,9,445},{0,9,445},{0,6,505},{0,6,1494},{0,5,737},{1,17,1},{1,17,1},{1,17,1},{1,11,5},{6,1,1152},{0,9,445},{0,9,445},{0,6,505},{11,0,1152},{0,6,505},{16,1,1568},{0,21,74},{3,14,5},{0,13,117},{16,1,1568},{26,1,1568},{0,13,117},
{0,10,1586},{26,1,1568},{0,10,1586},{1,0,65},{1,0,65},{1,0,65},{1,0,65},{0,3,0},{0,3,0},{0,3,0},{0,2,1},{0,1,25},{0,1,25},{1,29,1715},{1,22,219},{2,15,342},{1,14,262},{0,22,5420},{0,16,2834},{0,13,726},{0,10,2966},{0,11,6916},{0,9,3860},{2,27,1569},{2,21,131},{3,15,69},{2,14,181},{11,4,5419},{0,16,2834},{0,13,726},{0,10,2966},{19,2,5419},
{0,10,2966},{1,20,146},{1,20,146},{1,20,146},{1,12,146},{0,13,1154},{0,11,337},{0,11,337},{0,7,388},{0,7,1665},{0,6,749},{2,18,1},{2,18,1},{2,18,1},{2,12,5},{8,0,1152},{0,11,337},{0,11,337},{0,7,388},{5,5,1152},{0,7,388},{17,2,1568},{0,23,34},{4,15,5},{0,14,72},{17,2,1568},{27,2,1568},{0,14,72},{0,11,1586},{27,2,1568},{0,11,1586},{1,0,145},
{1,0,145},{1,0,145},{1,0,145},{0,6,1},{0,6,1},{0,6,1},{0,3,4},{0,2,85},{0,2,85},{2,30,1907},{1,24,398},{2,16,542},{1,15,425},{0,25,5424},{0,18,2630},{0,15,486},{0,11,2771},{0,13,7299},{0,11,3860},{3,28,1569},{3,22,131},{4,16,82},{3,15,181},{15,0,5419},{0,18,2630},{0,15,486},{0,11,2771},{20,3,5419},{0,11,2771},{2,21,338},{2,21,338},{2,21,338},
{2,13,338},{0,16,1152},{0,13,274},{0,13,274},{0,8,305},{0,8,1856},{0,7,797},{3,19,1},{3,19,1},{3,19,1},{3,13,5},{9,1,1152},{0,13,274},{0,13,274},{0,8,305},{16,0,1152},{0,8,305},{18,3,1568},{0,25,17},{5,16,13},{0,15,45},{18,3,1568},{28,3,1568},{0,15,45},{0,12,1576},{28,3,1568},{0,12,1576},{2,0,337},{2,0,337},{2,0,337},{2,0,337},{0,8,1},
{0,8,1},{0,8,1},{0,5,0},{0,4,169},{0,4,169},{2,31,2145},{2,25,590},{3,17,862},{2,16,619},{0,27,5420},{0,20,2424},{0,16,282},{0,12,2552},{0,15,7711},{0,11,3908},{4,29,1570},{4,23,149},{4,17,73},{4,16,194},{14,4,5419},{0,20,2424},{0,16,282},{0,12,2552},{24,2,5419},{0,12,2552},{2,23,546},{2,23,546},{2,23,546},{2,15,546},{0,19,1154},{0,15,194},{0,15,194},
{0,9,218},{0,9,2123},{0,8,865},{4,20,1},{4,20,1},{4,20,1},{4,13,4},{10,2,1152},{0,15,194},{0,15,194},{0,9,218},{17,1,1152},{0,9,218},{20,2,1568},{0,27,5},{6,17,13},{0,16,26},{20,2,1568},{24,7,1568},{0,16,26},{0,13,1576},{24,7,1568},{0,13,1576},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,289},
{0,5,289},{3,31,2596},{3,26,941},{3,19,1289},{3,17,972},{0,30,5420},{0,22,2243},{0,17,145},{0,13,2386},{0,16,8161},{0,13,3986},{5,30,1569},{5,24,131},{6,18,69},{5,17,181},{17,2,5419},{0,22,2243},{0,17,145},{0,13,2386},{27,2,5419},{0,13,2386},{3,24,901},{3,24,901},{3,24,901},{3,16,901},{0,22,1154},{0,17,109},{0,17,109},{0,10,145},{0,11,2441},{0,9,1001},{5,21,1},
{5,21,1},{5,21,1},{5,15,5},{13,0,1152},{0,17,109},{0,17,109},{0,10,145},{20,1,1152},{0,10,145},{23,0,1568},{1,28,2},{7,18,5},{0,18,8},{23,0,1568},{30,5,1568},{0,18,8},{0,14,1586},{30,5,1568},{0,14,1586},{3,0,900},{3,0,900},{3,0,900},{3,0,900},{0,14,1},{0,14,1},{0,14,1},{0,8,1},{0,6,468},{0,6,468},{4,31,3146},{3,28,1262},{4,19,1743},
{3,18,1297},{1,31,5484},{0,23,2096},{0,19,69},{0,14,2251},{0,18,8669},{0,14,4100},{6,31,1569},{6,25,131},{7,19,69},{6,18,181},{18,3,5419},{0,23,2096},{0,19,69},{0,14,2251},{28,3,5419},{0,14,2251},{3,27,1252},{3,27,1252},{3,27,1252},{3,17,1256},{0,24,1152},{0,18,61},{0,18,61},{0,11,100},{0,12,2859},{0,10,1157},{6,22,1},{6,22,1},{6,22,1},{6,16,5},{14,1,1152},
{0,18,61},{0,18,61},{0,11,100},{24,0,1152},{0,11,100},{24,1,1568},{2,29,2},{8,19,5},{0,19,5},{24,1,1568},{31,6,1568},{0,19,5},{0,15,1586},{31,6,1568},{0,15,1586},{3,0,1252},{3,0,1252},{3,0,1252},{3,0,1252},{0,16,1},{0,16,1},{0,16,1},{0,10,1},{0,8,657},{0,8,657},{5,31,3716},{4,29,1603},{4,21,2148},{4,19,1631},{2,31,5655},{0,25,2005},{0,20,31},
{0,15,2138},{0,19,8963},{0,15,4070},{7,31,1587},{7,26,131},{8,20,82},{7,19,181},{20,2,5419},{0,25,2001},{0,20,27},{0,15,2134},{24,7,5419},{0,15,2134},{4,28,1587},{4,28,1587},{4,28,1587},{4,18,1590},{0,27,1158},{0,20,22},{0,20,22},{0,12,62},{0,14,3075},{0,11,1221},{7,23,1},{7,23,1},{7,23,1},{7,17,5},{16,0,1152},{0,20,18},{0,20,18},{0,12,58},{25,1,1152},
{0,12,58},{25,2,1568},{3,30,2},{9,20,13},{1,20,9},{25,2,1568},{27,10,1568},{1,20,9},{0,16,1576},{27,10,1568},{0,16,1576},{4,0,1586},{4,0,1586},{4,0,1586},{4,0,1586},{0,19,4},{0,19,4},{0,19,4},{0,11,8},{0,9,769},{0,9,769},{6,31,3890},{5,30,1603},{5,22,2148},{5,20,1627},{3,31,5748},{0,27,1989},{1,21,31},{0,17,2117},{0,21,8560},{0,16,3545},{9,31,1634},
{8,27,149},{8,21,73},{8,20,194},{21,3,5419},{0,27,1889},{1,21,27},{0,17,2017},{28,6,5419},{0,17,2017},{5,29,1587},{5,29,1587},{5,29,1587},{5,19,1590},{1,28,1158},{1,21,22},{1,21,22},{1,13,62},{0,16,2801},{0,13,949},{8,24,1},{8,24,1},{8,24,1},{8,17,4},{17,1,1152},{0,22,2},{0,22,2},{0,14,26},{26,2,1152},{0,14,26},{26,3,1568},{4,31,5},{10,21,13},
{2,21,9},{26,3,1568},{28,11,1568},{2,21,9},{0,17,1576},{28,11,1568},{0,17,1576},{5,0,1586},{5,0,1586},{5,0,1586},{5,0,1586},{1,20,4},{1,20,4},{1,20,4},{1,12,8},{0,10,625},{0,10,625},{7,31,4136},{6,31,1589},{7,23,2157},{6,21,1621},{4,31,5895},{1,28,1977},{2,22,33},{1,18,2107},{0,23,8196},{0,17,3043},{10,31,1667},{9,28,131},{10,22,69},{9,21,181},{24,1,5419},
{0,29,1772},{2,22,24},{0,18,1875},{31,6,5419},{0,18,1875},{6,30,1576},{6,30,1576},{6,30,1576},{6,20,1580},{2,29,1161},{2,22,29},{2,22,29},{2,15,58},{0,17,2529},{0,14,656},{9,25,1},{9,25,1},{9,25,1},{9,19,5},{17,4,1152},{0,24,1},{0,24,1},{0,15,1},{29,2,1152},{0,15,1},{27,4,1568},{6,31,13},{11,22,5},{3,22,5},{27,4,1568},{31,11,1568},{3,22,5},
{0,18,1586},{31,11,1568},{0,18,1586},{6,0,1576},{6,0,1576},{6,0,1576},{6,0,1576},{2,21,10},{2,21,10},{2,21,10},{2,14,13},{0,12,520},{0,12,520},{8,31,4436},{7,31,1625},{8,23,2175},{7,22,1621},{6,31,6079},{3,28,1973},{3,23,33},{2,19,2107},{0,24,7969},{0,18,2675},{11,31,1745},{10,29,131},{11,23,69},{10,22,181},{25,2,5419},{0,30,1699},{3,23,24},{0,19,1782},{27,10,5419},
{0,19,1782},{7,31,1576},{7,31,1576},{7,31,1576},{7,21,1580},{3,30,1161},{3,23,29},{3,23,29},{3,16,74},{0,19,2313},{0,15,474},{10,26,1},{10,26,1},{10,26,1},{10,20,5},{18,5,1152},{1,25,1},{1,25,1},{0,16,2},{30,3,1152},{0,16,2},{31,0,1568},{8,31,34},{12,23,5},{4,23,5},{31,0,1568},{30,13,1568},{4,23,5},{0,19,1586},{30,13,1568},{0,19,1586},{7,0,1576},
{7,0,1576},{7,0,1576},{7,0,1576},{3,22,10},{3,22,10},{3,22,10},{3,15,13},{0,14,400},{0,14,400},{9,31,4730},{8,31,1716},{8,25,2148},{8,23,1631},{7,31,6244},{3,30,1977},{4,24,31},{4,19,2138},{0,26,7669},{0,19,2375},{12,31,1832},{11,30,131},{12,24,82},{11,23,181},{26,3,5419},{1,31,1699},{4,24,27},{0,20,1720},{28,11,5419},{0,20,1720},{8,31,1595},{8,31,1595},{8,31,1595},
{8,22,1590},{4,31,1158},{4,24,22},{4,24,22},{4,16,62},{0,21,2091},{0,17,306},{11,27,1},{11,27,1},{11,27,1},{11,21,5},{20,4,1152},{2,26,1},{2,26,1},{1,17,2},{29,5,1152},{1,17,2},{29,6,1568},{9,31,68},{13,24,13},{5,24,9},{29,6,1568},{31,14,1568},{5,24,9},{0,20,1576},{31,14,1568},{0,20,1576},{8,0,1586},{8,0,1586},{8,0,1586},{8,0,1586},{4,23,4},
{4,23,4},{4,23,4},{4,15,8},{0,16,277},{0,16,277},{11,31,5010},{9,31,1878},{9,26,2148},{9,24,1627},{8,31,6508},{4,31,1989},{5,25,31},{4,21,2117},{0,28,7364},{0,21,2098},{14,31,1952},{12,31,149},{12,25,73},{12,24,194},{28,2,5419},{3,31,1787},{5,25,27},{0,21,1657},{27,13,5419},{0,21,1657},{9,31,1622},{9,31,1622},{9,31,1622},{9,23,1590},{5,31,1164},{5,25,22},{5,25,22},
{5,17,62},{0,22,1928},{0,18,194},{12,28,1},{12,28,1},{12,28,1},{12,21,4},{24,0,1152},{3,27,1},{3,27,1},{2,18,2},{30,6,1152},{2,18,2},{30,7,1568},{11,31,116},{14,25,13},{6,25,9},{30,7,1568},{30,16,1568},{6,25,9},{0,21,1576},{30,16,1568},{0,21,1576},{9,0,1586},{9,0,1586},{9,0,1586},{9,0,1586},{5,24,4},{5,24,4},{5,24,4},{5,16,8},{0,18,193},
{0,18,193},{12,31,5316},{11,31,2154},{11,27,2157},{10,25,1621},{10,31,6800},{6,31,1999},{6,26,33},{5,22,2107},{0,29,7068},{0,22,1836},{15,31,2081},{13,31,206},{14,26,69},{13,25,181},{31,0,5419},{5,31,1937},{6,26,24},{0,22,1611},{30,13,5419},{0,22,1611},{10,31,1676},{10,31,1676},{10,31,1676},{10,24,1580},{7,31,1179},{6,26,29},{6,26,29},{6,19,58},{0,24,1798},{0,19,157},{13,29,1},
{13,29,1},{13,29,1},{13,23,5},{24,3,1152},{4,28,1},{4,28,1},{4,19,1},{28,9,1152},{4,19,1},{31,8,1568},{13,31,205},{15,26,5},{7,26,5},{31,8,1568},{28,19,1568},{7,26,5},{0,22,1586},{28,19,1568},{0,22,1586},{10,0,1576},{10,0,1576},{10,0,1576},{10,0,1576},{6,25,10},{6,25,10},{6,25,10},{6,18,13},{0,20,106},{0,20,106},{13,31,5658},{12,31,2435},{12,27,2175},
{11,26,1621},{11,31,7055},{7,31,2090},{7,27,33},{6,23,2107},{0,31,6820},{0,23,1690},{16,31,2216},{14,31,334},{15,27,69},{14,26,181},{29,6,5419},{7,31,2081},{7,27,24},{0,23,1590},{31,14,5419},{0,23,1590},{11,31,1745},{11,31,1745},{11,31,1745},{11,25,1580},{8,31,1220},{7,27,29},{7,27,29},{7,20,74},{0,26,1650},{1,20,137},{14,30,1},{14,30,1},{14,30,1},{14,24,5},{22,9,1152},
{5,29,1},{5,29,1},{4,20,2},{29,10,1152},{4,20,2},{29,14,1568},{15,31,289},{16,27,5},{8,27,5},{29,14,1568},{29,20,1568},{8,27,5},{0,23,1586},{29,20,1568},{0,23,1586},{11,0,1576},{11,0,1576},{11,0,1576},{11,0,1576},{7,26,10},{7,26,10},{7,26,10},{7,19,13},{0,22,58},{0,22,58},{14,31,6036},{13,31,2751},{12,29,2148},{12,27,1631},{12,31,7316},{8,31,2228},{8,28,31},
{8,23,2138},{0,31,6884},{0,24,1613},{17,31,2402},{16,31,500},{16,28,82},{15,27,181},{30,7,5419},{9,31,2195},{8,28,27},{0,24,1577},{30,16,5419},{0,24,1577},{12,31,1811},{12,31,1811},{12,31,1811},{12,26,1590},{9,31,1286},{8,28,22},{8,28,22},{8,20,62},{0,28,1508},{2,21,137},{15,31,1},{15,31,1},{15,31,1},{15,25,5},{24,8,1152},{6,30,1},{6,30,1},{5,21,2},{30,11,1152},
{5,21,2},{30,15,1568},{17,31,410},{17,28,13},{9,28,9},{30,15,1568},{30,21,1568},{9,28,9},{0,24,1576},{30,21,1568},{0,24,1576},{12,0,1586},{12,0,1586},{12,0,1586},{12,0,1586},{8,27,4},{8,27,4},{8,27,4},{8,19,8},{0,24,37},{0,24,37},{15,31,6450},{14,31,3135},{13,30,2148},{13,28,1627},{13,31,7661},{10,31,2448},{9,29,31},{8,25,2117},{2,31,7196},{0,25,1593},{19,31,2594},
{17,31,698},{16,29,73},{16,28,194},{29,11,5419},{11,31,2379},{9,29,27},{1,25,1577},{31,17,5419},{1,25,1577},{13,31,1910},{13,31,1910},{13,31,1910},{13,27,1590},{10,31,1388},{9,29,22},{9,29,22},{9,21,62},{0,30,1416},{3,22,137},{16,31,4},{16,31,4},{16,31,4},{16,25,4},{28,4,1152},{7,31,1},{7,31,1},{6,22,2},{29,13,1152},{6,22,2},{31,16,1568},{19,31,530},{18,29,13},
{10,29,9},{31,16,1568},{31,22,1568},{10,29,9},{0,25,1576},{31,22,1568},{0,25,1576},{13,0,1586},{13,0,1586},{13,0,1586},{13,0,1586},{9,28,4},{9,28,4},{9,28,4},{9,20,8},{0,25,17},{0,25,17},{16,31,6900},{15,31,3657},{15,31,2157},{14,29,1621},{15,31,8023},{11,31,2845},{10,30,33},{9,26,2107},{5,31,7651},{1,26,1611},{20,31,2866},{18,31,1011},{18,30,69},{17,29,181},{29,14,5419},
{13,31,2657},{10,30,24},{3,26,1587},{29,20,5419},{3,26,1587},{15,31,2057},{15,31,2057},{15,31,2057},{14,28,1580},{12,31,1476},{10,30,29},{10,30,29},{10,23,58},{0,31,1324},{4,23,157},{17,31,37},{17,31,37},{17,31,37},{17,27,5},{31,2,1152},{9,31,4},{9,31,4},{8,23,1},{27,16,1152},{8,23,1},{31,19,1568},{21,31,637},{19,30,5},{11,30,5},{31,19,1568},{27,26,1568},{11,30,5},
{0,26,1586},{27,26,1568},{0,26,1586},{14,0,1576},{14,0,1576},{14,0,1576},{14,0,1576},{10,29,10},{10,29,10},{10,29,10},{10,22,13},{1,27,9},{1,27,9},{18,31,7332},{16,31,4196},{16,31,2175},{15,30,1621},{16,31,8348},{13,31,3285},{11,31,33},{10,27,2107},{8,31,8004},{2,27,1611},{21,31,3112},{20,31,1281},{19,31,69},{18,30,181},{30,15,5419},{15,31,2897},{11,31,24},{3,27,1590},{30,21,5419},
{3,27,1590},{16,31,2171},{16,31,2171},{16,31,2171},{15,29,1580},{13,31,1590},{11,31,29},{11,31,29},{11,24,74},{2,31,1424},{5,24,137},{19,31,65},{19,31,65},{19,31,65},{18,28,5},{26,13,1152},{11,31,20},{11,31,20},{8,24,2},{21,21,1152},{8,24,2},{30,23,1568},{23,31,785},{20,31,5},{12,31,5},{30,23,1568},{28,27,1568},{12,31,5},{0,27,1586},{28,27,1568},{0,27,1586},{15,0,1576},
{15,0,1576},{15,0,1576},{15,0,1576},{11,30,10},{11,30,10},{11,30,10},{11,23,13},{1,28,8},{1,28,8},{19,31,7014},{17,31,4230},{17,31,2294},{16,31,1595},{17,31,7865},{14,31,3114},{12,31,85},{12,27,1706},{8,31,7436},{3,28,1268},{22,31,2794},{21,31,1221},{20,31,113},{19,30,114},{30,17,4803},{17,31,2648},{13,31,61},{4,28,1253},{25,25,4803},{4,28,1253},{17,31,2294},{17,31,2294},{17,31,2294},
{16,30,1590},{14,31,1740},{12,31,85},{12,31,85},{12,24,62},{3,31,1571},{6,25,137},{20,31,113},{20,31,113},{20,31,113},{19,29,5},{28,12,1152},{13,31,61},{13,31,61},{9,25,2},{22,22,1152},{9,25,2},{31,23,1250},{24,31,680},{21,31,4},{15,31,0},{31,23,1250},{23,31,1250},{15,31,0},{0,28,1252},{23,31,1250},{0,28,1252},{16,0,1586},{16,0,1586},{16,0,1586},{16,0,1586},{12,31,4},
{12,31,4},{12,31,4},{12,23,8},{2,29,8},{2,29,8},{19,31,6534},{18,31,4116},{18,31,2435},{17,31,1590},{18,31,7164},{15,31,2809},{14,31,161},{12,28,1256},{10,31,6748},{5,28,945},{23,31,2340},{22,31,1065},{21,31,164},{20,31,64},{31,17,4056},{18,31,2211},{15,31,113},{7,28,900},{25,26,4056},{7,28,900},{18,31,2435},{18,31,2435},{18,31,2435},{17,31,1590},{16,31,1923},{14,31,161},{14,31,161},
{13,25,62},{6,31,1729},{7,26,137},{21,31,164},{21,31,164},{21,31,164},{20,29,4},{29,13,1152},{15,31,113},{15,31,113},{10,26,2},{28,20,1152},{10,26,2},{30,26,882},{25,31,482},{23,31,0},{18,31,1},{30,26,882},{31,27,882},{18,31,1},{0,28,900},{31,27,882},{0,28,900},{17,0,1586},{17,0,1586},{17,0,1586},{17,0,1586},{13,31,13},{13,31,13},{13,31,13},{13,24,8},{3,30,8},
{3,30,8},{21,31,6091},{20,31,4022},{19,31,2609},{18,31,1640},{19,31,6490},{16,31,2617},{15,31,318},{14,28,835},{11,31,6135},{6,29,598},{24,31,1881},{23,31,931},{22,31,245},{21,31,5},{31,19,3318},{20,31,1733},{17,31,202},{8,29,545},{27,26,3318},{8,29,545},{19,31,2609},{19,31,2609},{19,31,2609},{18,31,1640},{17,31,2086},{15,31,318},{15,31,318},{14,27,58},{8,31,1868},{8,27,157},{22,31,245},
{22,31,245},{22,31,245},{21,31,5},{29,16,1152},{17,31,202},{17,31,202},{12,27,1},{31,20,1152},{12,27,1},{31,26,545},{26,31,305},{25,31,4},{20,31,1},{31,26,545},{29,29,545},{20,31,1},{0,29,545},{29,29,545},{0,29,545},{18,0,1576},{18,0,1576},{18,0,1576},{18,0,1576},{15,31,29},{15,31,29},{15,31,29},{14,26,13},{5,31,9},{5,31,9},{22,31,5719},{21,31,3980},{20,31,2834},
{19,31,1745},{20,31,6050},{18,31,2457},{16,31,536},{15,29,515},{14,31,5674},{7,30,406},{25,31,1573},{24,31,861},{23,31,338},{22,31,10},{30,22,2753},{21,31,1438},{19,31,290},{11,29,338},{27,27,2753},{11,29,338},{20,31,2834},{20,31,2834},{20,31,2834},{19,31,1745},{18,31,2284},{16,31,536},{16,31,536},{15,28,74},{10,31,2064},{9,28,137},{23,31,338},{23,31,338},{23,31,338},{22,31,10},{30,17,1152},
{19,31,290},{19,31,290},{12,28,2},{25,25,1152},{12,28,2},{31,27,313},{28,31,181},{26,31,1},{23,31,0},{31,27,313},{30,29,313},{23,31,0},{0,29,337},{30,29,313},{0,29,337},{19,0,1576},{19,0,1576},{19,0,1576},{19,0,1576},{16,31,52},{16,31,52},{16,31,52},{15,27,13},{6,31,25},{6,31,25},{22,31,5399},{22,31,3974},{21,31,3035},{20,31,1875},{21,31,5619},{19,31,2378},{18,31,776},
{16,30,318},{15,31,5258},{9,30,225},{26,31,1333},{25,31,813},{24,31,425},{23,31,65},{30,24,2273},{23,31,1218},{20,31,353},{12,30,146},{29,27,2273},{12,30,146},{21,31,3035},{21,31,3035},{21,31,3035},{20,31,1875},{19,31,2518},{18,31,776},{18,31,776},{16,28,62},{11,31,2323},{10,29,137},{24,31,425},{24,31,425},{24,31,425},{23,31,65},{31,18,1152},{20,31,353},{20,31,353},{13,29,2},{26,26,1152},
{13,29,2},{31,28,145},{28,31,85},{28,31,4},{26,31,1},{31,28,145},{30,30,145},{26,31,1},{0,30,145},{30,30,145},{0,30,145},{20,0,1586},{20,0,1586},{20,0,1586},{20,0,1586},{17,31,85},{17,31,85},{17,31,85},{16,27,8},{8,31,40},{8,31,40},{23,31,5143},{23,31,4004},{22,31,3254},{21,31,2070},{22,31,5274},{20,31,2310},{19,31,1062},{17,30,133},{17,31,5011},{10,31,161},{27,31,1161},
{26,31,801},{26,31,545},{25,31,164},{31,24,1878},{24,31,1094},{22,31,461},{14,30,66},{24,31,1878},{14,30,66},{22,31,3254},{22,31,3254},{22,31,3254},{21,31,2070},{20,31,2833},{19,31,1062},{19,31,1062},{17,29,62},{14,31,2577},{11,30,137},{26,31,545},{26,31,545},{26,31,545},{25,31,164},{30,22,1152},{22,31,461},{22,31,461},{14,30,2},{27,27,1152},{14,30,2},{30,31,41},{30,31,25},{29,31,1},
{28,31,0},{30,31,41},{31,30,41},{28,31,0},{0,30,65},{31,30,41},{0,30,65},{21,0,1586},{21,0,1586},{21,0,1586},{21,0,1586},{18,31,136},{18,31,136},{18,31,136},{17,28,8},{10,31,80},{10,31,80},{24,31,4882},{24,31,4070},{23,31,3532},{22,31,2360},{24,31,4945},{21,31,2422},{20,31,1433},{18,31,58},{20,31,4717},{12,31,157},{28,31,1026},{27,31,835},{27,31,666},{26,31,305},{31,26,1536},
{26,31,996},{24,31,628},{16,31,1},{29,29,1536},{16,31,1},{23,31,3532},{23,31,3532},{23,31,3532},{22,31,2360},{22,31,3110},{20,31,1433},{20,31,1433},{18,31,58},{16,31,2939},{12,31,157},{27,31,666},{27,31,666},{27,31,666},{26,31,305},{30,25,1152},{24,31,628},{24,31,628},{16,31,1},{30,27,1152},{16,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{22,0,1576},{22,0,1576},{22,0,1576},{22,0,1576},{19,31,221},{19,31,221},{19,31,221},{18,30,13},{12,31,157},{12,31,157},{25,31,4212},{24,31,3590},{24,31,3106},{23,31,2201},{24,31,4129},{22,31,2101},{21,31,1301},{19,31,13},{20,31,3869},{14,31,233},{28,31,706},{28,31,562},{28,31,481},{27,31,218},{31,27,1067},{27,31,699},{25,31,442},{18,31,1},{30,29,1067},
{18,31,1},{24,31,3106},{24,31,3106},{24,31,3106},{23,31,2201},{23,31,2668},{21,31,1301},{21,31,1301},{19,31,13},{18,31,2523},{14,31,233},{28,31,481},{28,31,481},{28,31,481},{27,31,218},{31,25,802},{25,31,442},{25,31,442},{18,31,1},{31,27,802},{18,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{23,0,1576},
{23,0,1576},{23,0,1576},{23,0,1576},{20,31,325},{20,31,325},{20,31,325},{19,31,13},{14,31,233},{14,31,233},{26,31,3642},{25,31,3132},{25,31,2771},{24,31,2070},{25,31,3444},{23,31,1834},{22,31,1205},{20,31,8},{21,31,3219},{16,31,346},{29,31,456},{28,31,370},{28,31,289},{28,31,145},{30,29,683},{28,31,451},{27,31,290},{21,31,1},{29,30,683},{21,31,1},{25,31,2771},{25,31,2771},{25,31,2771},
{24,31,2070},{24,31,2273},{22,31,1205},{22,31,1205},{20,31,8},{20,31,2121},{16,31,346},{28,31,289},{28,31,289},{28,31,289},{28,31,145},{31,26,512},{27,31,290},{27,31,290},{21,31,1},{29,29,512},{21,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{24,0,1586},{24,0,1586},{24,0,1586},{24,0,1586},{22,31,421},
{22,31,421},{22,31,421},{20,31,8},{16,31,346},{16,31,346},{26,31,3162},{26,31,2742},{26,31,2486},{25,31,1947},{26,31,2877},{24,31,1641},{23,31,1145},{22,31,52},{22,31,2673},{18,31,458},{29,31,264},{29,31,200},{29,31,164},{28,31,81},{30,30,384},{28,31,243},{28,31,162},{23,31,1},{30,30,384},{23,31,1},{26,31,2486},{26,31,2486},{26,31,2486},{25,31,1947},{24,31,1969},{23,31,1145},{23,31,1145},
{22,31,52},{20,31,1785},{18,31,458},{29,31,164},{29,31,164},{29,31,164},{28,31,81},{31,27,290},{28,31,162},{28,31,162},{23,31,1},{30,29,290},{23,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{25,0,1586},{25,0,1586},{25,0,1586},{25,0,1586},{23,31,520},{23,31,520},{23,31,520},{22,31,52},{18,31,458},
{18,31,458},{0,23,2665},{0,18,680},{0,13,50},{0,11,785},{0,15,5885},{0,11,4118},{0,10,1800},{0,7,4202},{0,8,6546},{0,7,4643},{0,23,2665},{0,18,680},{0,13,50},{0,11,785},{9,0,5885},{0,11,4118},{0,10,1800},{0,7,4202},{15,0,5885},{0,7,4202},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,549},{0,5,289},{0,5,289},{0,3,306},{0,3,630},{0,3,387},{0,11,0},
{0,11,0},{0,11,0},{0,7,4},{2,2,545},{0,5,289},{0,5,289},{0,3,306},{4,1,545},{0,3,306},{13,1,2665},{0,18,680},{0,13,50},{0,11,785},{13,1,2665},{23,0,2665},{0,11,785},{0,8,2689},{23,0,2665},{0,8,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,25,2665},{0,20,521},{0,14,5},
{0,12,625},{0,17,6669},{0,13,4529},{0,11,1890},{0,8,4610},{0,9,7494},{0,7,5171},{0,25,2665},{0,20,521},{0,14,5},{0,12,625},{9,2,6669},{0,13,4529},{0,11,1890},{0,8,4610},{17,0,6669},{0,8,4610},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,7,841},{0,6,445},{0,6,445},{0,4,464},{0,3,982},{0,3,595},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{4,0,841},
{0,6,445},{0,6,445},{0,4,464},{7,0,841},{0,4,464},{14,2,2665},{0,20,521},{0,14,5},{0,12,625},{14,2,2665},{25,0,2665},{0,12,625},{0,9,2689},{25,0,2665},{0,9,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,28,2665},{0,22,405},{0,15,10},{0,13,514},{0,19,7541},{0,14,4934},{0,12,2042},
{0,9,5045},{0,10,8546},{0,8,5682},{0,28,2665},{0,22,405},{0,15,10},{0,13,514},{10,2,7538},{0,14,4934},{0,12,2042},{0,9,5045},{17,1,7538},{0,9,5045},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{0,8,1201},{0,7,637},{0,7,637},{0,4,656},{0,4,1385},{0,4,800},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{5,0,1201},{0,7,637},{0,7,637},{0,4,656},{8,0,1201},
{0,4,656},{16,1,2665},{0,22,405},{1,15,5},{0,13,514},{16,1,2665},{28,0,2665},{0,13,514},{0,10,2689},{28,0,2665},{0,10,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,30,2669},{0,23,313},{0,16,68},{0,15,410},{0,20,8498},{0,16,5330},{0,13,2210},{0,10,5530},{0,11,9702},{0,9,6270},{0,30,2669},
{0,23,313},{0,16,68},{0,15,410},{11,2,8493},{0,16,5330},{0,13,2210},{0,10,5530},{17,2,8493},{0,10,5530},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{0,9,1629},{0,8,832},{0,8,832},{0,5,881},{0,5,1874},{0,5,1106},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{5,1,1625},{0,8,832},{0,8,832},{0,5,881},{8,1,1625},{0,5,881},{17,2,2665},{0,23,313},{2,16,8},
{0,15,410},{17,2,2665},{29,1,2665},{0,15,410},{0,11,2689},{29,1,2665},{0,11,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,31,2777},{0,26,232},{0,17,197},{0,16,305},{0,22,9674},{0,17,5849},{0,14,2450},{0,10,6106},{0,12,11199},{0,10,7006},{1,31,2741},{0,26,232},{1,17,146},{0,16,305},{11,4,9669},
{0,17,5849},{0,14,2450},{0,10,6106},{19,2,9669},{0,10,6106},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{0,11,2178},{0,10,1125},{0,10,1125},{0,6,1189},{0,6,2520},{0,5,1475},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{6,1,2178},{0,10,1125},{0,10,1125},{0,6,1189},{11,0,2178},{0,6,1189},{20,0,2665},{0,26,232},{3,17,2},{0,16,305},{20,0,2665},{30,2,2665},{0,16,305},
{0,12,2689},{30,2,2665},{0,12,2689},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,31,2949},{0,28,217},{1,18,261},{0,17,282},{0,25,9670},{0,19,5529},{0,16,1970},{0,12,5738},{0,13,11589},{0,11,6898},{2,31,2789},{0,28,217},{2,18,146},{0,17,282},{15,0,9669},{0,19,5529},{0,16,1970},{0,12,5738},{20,3,9669},
{0,12,5738},{0,24,64},{0,24,64},{0,24,64},{1,14,64},{0,13,2180},{0,11,949},{0,11,949},{0,7,1018},{0,7,2691},{0,6,1433},{1,23,1},{1,23,1},{1,23,1},{1,14,0},{8,0,2178},{0,11,949},{0,11,949},{0,7,1018},{5,5,2178},{0,7,1018},{21,1,2665},{0,28,153},{4,18,5},{0,17,218},{21,1,2665},{31,3,2665},{0,17,218},{0,13,2689},{31,3,2665},{0,13,2689},{0,0,64},
{0,0,64},{0,0,64},{0,0,64},{0,3,1},{0,3,1},{0,3,1},{0,2,4},{0,1,18},{0,1,18},{2,31,3285},{1,28,273},{2,19,453},{1,18,346},{0,27,9674},{0,20,5170},{0,17,1546},{0,13,5429},{0,15,11993},{0,12,6819},{3,31,2873},{1,28,209},{3,19,146},{1,18,282},{14,4,9669},{0,20,5170},{0,17,1546},{0,13,5429},{24,2,9669},{0,13,5429},{1,25,128},{1,25,128},{1,25,128},
{1,15,137},{0,16,2178},{0,13,832},{0,13,832},{0,8,881},{0,8,2882},{0,7,1427},{2,23,4},{2,23,4},{2,23,4},{2,15,0},{9,1,2178},{0,13,832},{0,13,832},{0,8,881},{16,0,2178},{0,8,881},{23,0,2665},{0,29,85},{5,19,5},{0,18,149},{23,0,2665},{30,5,2665},{0,18,149},{0,14,2689},{30,5,2665},{0,14,2689},{1,0,128},{1,0,128},{1,0,128},{1,0,128},{0,5,1},
{0,5,1},{0,5,1},{0,3,1},{0,2,72},{0,2,72},{3,31,3785},{1,30,405},{2,21,676},{1,19,469},{0,30,9669},{0,22,4878},{0,18,1190},{0,14,5138},{0,16,12390},{0,13,6789},{4,31,2966},{2,29,209},{4,20,149},{2,19,282},{18,0,9669},{0,22,4878},{0,18,1190},{0,14,5138},{30,0,9669},{0,14,5138},{2,26,320},{2,26,320},{2,26,320},{1,17,320},{0,19,2180},{0,15,680},{0,15,680},
{0,9,740},{0,9,3149},{0,8,1441},{3,24,1},{3,24,1},{3,24,1},{3,16,1},{10,2,2178},{0,15,680},{0,15,680},{0,9,740},{17,1,2178},{0,9,740},{24,1,2665},{0,31,41},{6,20,8},{0,19,98},{24,1,2665},{31,6,2665},{0,19,98},{0,15,2689},{31,6,2665},{0,15,2689},{1,0,320},{1,0,320},{1,0,320},{1,0,320},{0,8,0},{0,8,0},{0,8,0},{0,5,1},{0,4,160},
{0,4,160},{4,31,4514},{2,31,630},{3,22,1027},{2,20,694},{1,31,9738},{0,23,4646},{0,20,849},{0,15,4826},{0,18,12955},{0,14,6798},{6,31,3101},{3,31,218},{5,21,146},{3,20,299},{18,3,9669},{0,23,4646},{0,20,849},{0,15,4826},{28,3,9669},{0,15,4826},{2,29,545},{2,29,545},{2,29,545},{2,18,546},{0,22,2180},{0,17,505},{0,17,505},{0,11,610},{0,11,3467},{0,10,1513},{4,26,1},
{4,26,1},{4,26,1},{4,17,0},{13,0,2178},{0,17,505},{0,17,505},{0,11,610},{20,1,2178},{0,11,610},{26,1,2665},{2,31,85},{7,21,2},{0,20,65},{26,1,2665},{31,8,2665},{0,20,65},{0,16,2689},{31,8,2665},{0,16,2689},{2,0,545},{2,0,545},{2,0,545},{2,0,545},{0,11,0},{0,11,0},{0,11,0},{0,7,4},{0,5,289},{0,5,289},{4,31,5330},{3,31,1018},{3,23,1430},
{2,21,979},{2,31,9981},{0,26,4406},{0,21,579},{0,16,4610},{0,19,13489},{0,15,6846},{7,31,3233},{4,31,226},{6,22,146},{4,21,282},{20,2,9669},{0,26,4406},{0,21,579},{0,16,4610},{24,7,9669},{0,16,4610},{3,30,865},{3,30,865},{3,30,865},{3,19,866},{0,24,2178},{0,19,389},{0,19,389},{0,12,464},{0,12,3885},{0,11,1603},{5,27,1},{5,27,1},{5,27,1},{5,18,0},{14,1,2178},
{0,19,389},{0,19,389},{0,12,464},{24,0,2178},{0,12,464},{28,0,2665},{3,31,153},{8,22,5},{0,22,37},{28,0,2665},{30,10,2665},{0,22,37},{0,17,2689},{30,10,2665},{0,17,2689},{3,0,865},{3,0,865},{3,0,865},{3,0,865},{0,13,1},{0,13,1},{0,13,1},{0,8,0},{0,6,445},{0,6,445},{5,31,6270},{3,31,1626},{4,24,1886},{3,22,1299},{2,31,10381},{0,28,4146},{0,22,377},
{0,17,4373},{0,20,14006},{0,16,6915},{8,31,3434},{6,31,242},{7,23,146},{5,22,282},{21,3,9669},{0,28,4146},{0,22,377},{0,17,4373},{28,6,9669},{0,17,4373},{3,31,1226},{3,31,1226},{3,31,1226},{3,21,1205},{0,27,2180},{0,21,274},{0,21,274},{0,13,353},{0,14,4269},{0,11,1763},{6,27,4},{6,27,4},{6,27,4},{6,19,0},{16,0,2178},{0,21,274},{0,21,274},{0,13,353},{25,1,2178},
{0,13,353},{29,1,2665},{5,31,232},{9,23,5},{0,23,10},{29,1,2665},{31,11,2665},{0,23,10},{0,18,2689},{31,11,2665},{0,18,2689},{3,0,1201},{3,0,1201},{3,0,1201},{3,0,1201},{0,16,0},{0,16,0},{0,16,0},{0,10,4},{0,7,637},{0,7,637},{6,31,7374},{4,31,2339},{4,25,2441},{3,23,1730},{3,31,10950},{0,29,3909},{0,23,243},{0,18,4154},{0,22,14614},{0,17,7029},{9,31,3638},
{7,31,320},{8,24,149},{6,23,282},{22,4,9669},{0,29,3909},{0,23,243},{0,18,4154},{29,7,9669},{0,18,4154},{4,31,1714},{4,31,1714},{4,31,1714},{3,22,1666},{0,29,2180},{0,23,194},{0,23,194},{0,14,260},{0,15,4686},{0,13,1937},{7,28,1},{7,28,1},{7,28,1},{7,20,1},{17,1,2178},{0,23,194},{0,23,194},{0,14,260},{26,2,2178},{0,14,260},{31,0,2665},{8,31,313},{10,24,8},
{0,24,4},{31,0,2665},{30,13,2665},{0,24,4},{0,19,2689},{30,13,2665},{0,19,2689},{3,0,1665},{3,0,1665},{3,0,1665},{3,0,1665},{0,19,1},{0,19,1},{0,19,1},{0,11,1},{0,8,832},{0,8,832},{7,31,8807},{5,31,3388},{5,26,3116},{4,24,2243},{4,31,11766},{0,31,3686},{0,25,138},{0,19,3938},{0,23,15369},{0,18,7206},{11,31,3853},{8,31,457},{9,25,146},{7,24,299},{25,2,9669},
{0,31,3686},{0,25,138},{0,19,3938},{27,10,9669},{0,19,3938},{5,31,2427},{5,31,2427},{5,31,2427},{4,23,2182},{0,31,2210},{0,25,137},{0,25,137},{0,15,181},{0,16,5157},{0,14,2163},{8,30,1},{8,30,1},{8,30,1},{8,21,0},{17,4,2178},{0,25,137},{0,25,137},{0,15,181},{29,2,2178},{0,15,181},{31,3,2665},{9,31,405},{11,25,2},{1,25,2},{31,3,2665},{30,15,2665},{1,25,2},
{0,20,2689},{30,15,2665},{0,20,2689},{4,0,2178},{4,0,2178},{4,0,2178},{4,0,2178},{0,22,1},{0,22,1},{0,22,1},{0,13,0},{0,10,1125},{0,10,1125},{7,31,10230},{6,31,4421},{6,27,3739},{4,26,2742},{5,31,12634},{0,31,3719},{0,26,87},{0,20,3771},{0,25,16061},{0,19,7283},{12,31,4050},{10,31,629},{10,26,146},{8,25,282},{26,3,9669},{0,31,3718},{0,26,86},{0,20,3770},{28,11,9669},
{0,20,3770},{5,31,3050},{5,31,3050},{5,31,3050},{5,24,2690},{1,31,2325},{0,26,86},{0,26,86},{0,16,129},{0,18,5544},{0,15,2318},{9,31,1},{9,31,1},{9,31,1},{9,22,0},{18,5,2178},{0,26,85},{0,26,85},{0,16,128},{30,3,2178},{0,16,128},{31,6,2665},{11,31,521},{12,26,5},{2,26,2},{31,6,2665},{29,17,2665},{2,26,2},{0,21,2689},{29,17,2665},{0,21,2689},{5,0,2689},
{5,0,2689},{5,0,2689},{5,0,2689},{0,24,1},{0,24,1},{0,24,1},{0,15,5},{0,11,1348},{0,11,1348},{9,31,10738},{7,31,4899},{7,28,3705},{5,27,2742},{6,31,13045},{1,31,4002},{1,27,87},{0,21,3686},{0,27,15601},{0,20,6570},{13,31,4302},{11,31,857},{11,27,146},{9,26,282},{28,2,9669},{2,31,3954},{1,27,86},{0,21,3605},{27,13,9669},{0,21,3605},{6,31,3173},{6,31,3173},{6,31,3173},
{6,25,2690},{2,31,2427},{1,28,83},{1,28,83},{1,17,129},{0,20,5170},{0,16,1856},{10,31,4},{10,31,4},{10,31,4},{10,23,0},{20,4,2178},{0,28,32},{0,28,32},{0,17,89},{29,5,2178},{0,17,89},{31,8,2665},{13,31,680},{13,27,5},{3,27,2},{31,8,2665},{30,18,2665},{3,27,2},{0,22,2689},{30,18,2665},{0,22,2689},{6,0,2689},{6,0,2689},{6,0,2689},{6,0,2689},{1,25,1},
{1,25,1},{1,25,1},{1,15,10},{0,13,1217},{0,13,1217},{10,31,11278},{8,31,5402},{7,29,3750},{6,28,2745},{7,31,13510},{3,31,4314},{2,28,77},{1,22,3686},{0,28,15046},{0,21,5958},{14,31,4590},{12,31,1171},{12,28,149},{10,27,282},{29,3,9669},{3,31,4265},{2,28,76},{0,22,3458},{28,14,9669},{0,22,3458},{7,31,3314},{7,31,3314},{7,31,3314},{7,26,2690},{4,31,2532},{2,28,73},{2,28,73},
{2,18,129},{0,21,4837},{0,17,1490},{11,31,25},{11,31,25},{11,31,25},{11,24,1},{24,0,2178},{0,30,8},{0,30,8},{0,19,49},{30,6,2178},{0,19,49},{31,11,2665},{15,31,832},{14,28,8},{4,28,4},{31,11,2665},{31,19,2665},{4,28,4},{0,23,2689},{31,19,2665},{0,23,2689},{7,0,2689},{7,0,2689},{7,0,2689},{7,0,2689},{2,26,1},{2,26,1},{2,26,1},{2,16,5},{0,14,1037},
{0,14,1037},{11,31,11942},{10,31,6090},{9,30,3739},{7,29,2751},{9,31,14053},{4,31,4863},{3,29,79},{2,24,3689},{0,30,14558},{0,23,5274},{16,31,4858},{14,31,1556},{13,29,146},{11,28,299},{29,6,9669},{6,31,4594},{3,29,75},{0,24,3265},{31,14,9669},{0,24,3265},{9,31,3505},{9,31,3505},{9,31,3505},{8,27,2693},{5,31,2645},{3,30,72},{3,30,72},{3,19,134},{0,23,4506},{0,19,1109},{12,31,64},
{12,31,64},{12,31,64},{12,25,0},{24,3,2178},{1,31,10},{1,31,10},{0,20,16},{28,9,2178},{0,20,16},{31,14,2665},{17,31,1053},{15,29,2},{5,29,2},{31,14,2665},{29,22,2665},{5,29,2},{0,24,2689},{29,22,2665},{0,24,2689},{8,0,2689},{8,0,2689},{8,0,2689},{8,0,2689},{3,27,5},{3,27,5},{3,27,5},{3,18,8},{0,16,818},{0,16,818},{12,31,12466},{11,31,6718},{10,31,3739},
{8,30,2742},{10,31,14554},{6,31,5363},{4,30,87},{3,24,3654},{0,31,14190},{0,24,4785},{17,31,5158},{15,31,1938},{14,30,146},{12,29,282},{30,7,9669},{8,31,4806},{4,30,86},{0,25,3130},{30,16,9669},{0,25,3130},{10,31,3658},{10,31,3658},{10,31,3658},{9,28,2690},{6,31,2795},{4,30,86},{4,30,86},{4,20,129},{0,25,4315},{0,20,809},{14,31,100},{14,31,100},{14,31,100},{13,26,0},{22,9,2178},
{3,31,34},{3,31,34},{0,21,1},{29,10,2178},{0,21,1},{30,18,2665},{19,31,1241},{16,30,5},{6,30,2},{30,18,2665},{30,23,2665},{6,30,2},{0,25,2689},{30,23,2665},{0,25,2689},{9,0,2689},{9,0,2689},{9,0,2689},{9,0,2689},{4,28,1},{4,28,1},{4,28,1},{4,19,5},{0,18,666},{0,18,666},{14,31,13094},{12,31,7445},{11,31,3830},{9,31,2742},{12,31,14998},{8,31,5926},{5,31,87},
{4,25,3686},{0,31,14254},{0,25,4323},{18,31,5494},{16,31,2414},{15,31,146},{13,30,282},{29,11,9669},{10,31,5138},{5,31,86},{0,26,3013},{31,17,9669},{0,26,3013},{11,31,3829},{11,31,3829},{11,31,3829},{10,29,2690},{7,31,2981},{5,31,86},{5,31,86},{5,21,129},{0,27,4059},{0,21,597},{15,31,145},{15,31,145},{15,31,145},{14,27,0},{24,8,2178},{5,31,85},{5,31,85},{1,22,1},{30,11,2178},
{1,22,1},{31,19,2665},{20,31,1378},{17,31,5},{7,31,2},{31,19,2665},{29,25,2665},{7,31,2},{0,26,2689},{29,25,2665},{0,26,2689},{10,0,2689},{10,0,2689},{10,0,2689},{10,0,2689},{5,29,1},{5,29,1},{5,29,1},{5,19,10},{0,20,505},{0,20,505},{15,31,12507},{13,31,7370},{12,31,4001},{11,31,2705},{13,31,14148},{8,31,5491},{6,31,154},{5,26,3063},{1,31,13399},{0,26,3306},{19,31,4949},
{17,31,2261},{16,31,202},{15,30,185},{29,13,8712},{11,31,4644},{7,31,145},{0,27,2403},{28,20,8712},{0,27,2403},{12,31,4001},{12,31,4001},{12,31,4001},{11,30,2690},{9,31,3204},{6,31,154},{6,31,154},{6,22,129},{0,28,3762},{0,23,425},{16,31,202},{16,31,202},{16,31,202},{15,28,1},{28,4,2178},{7,31,145},{7,31,145},{2,23,1},{29,13,2178},{2,23,1},{30,22,2178},{22,31,1145},{18,31,1},
{10,31,1},{30,22,2178},{27,27,2178},{10,31,1},{0,27,2178},{27,27,2178},{0,27,2178},{11,0,2689},{11,0,2689},{11,0,2689},{11,0,2689},{6,30,1},{6,30,1},{6,30,1},{6,20,5},{0,22,389},{0,22,389},{16,31,11658},{14,31,7195},{13,31,4225},{12,31,2693},{14,31,13066},{10,31,5014},{8,31,261},{6,27,2390},{3,31,12366},{0,27,2277},{20,31,4338},{18,31,2037},{17,31,289},{16,30,89},{29,15,7578},
{13,31,4037},{9,31,202},{0,27,1701},{30,20,7578},{0,27,1701},{13,31,4225},{13,31,4225},{13,31,4225},{12,31,2693},{10,31,3429},{8,31,261},{8,31,261},{7,23,134},{0,30,3509},{0,24,306},{17,31,289},{17,31,289},{17,31,289},{16,29,0},{31,2,2178},{9,31,202},{9,31,202},{3,24,0},{27,16,2178},{3,24,0},{31,22,1625},{23,31,850},{20,31,0},{13,31,1},{31,22,1625},{30,26,1625},{13,31,1},
{0,27,1665},{30,26,1625},{0,27,1665},{12,0,2689},{12,0,2689},{12,0,2689},{12,0,2689},{7,31,5},{7,31,5},{7,31,5},{7,22,8},{0,24,306},{0,24,306},{16,31,11002},{15,31,7081},{14,31,4450},{13,31,2738},{15,31,12205},{11,31,4663},{9,31,411},{7,27,1845},{4,31,11643},{0,28,1578},{21,31,3802},{20,31,1845},{18,31,388},{17,31,25},{30,15,6661},{15,31,3525},{11,31,290},{0,28,1217},{30,21,6661},
{0,28,1217},{14,31,4450},{14,31,4450},{14,31,4450},{13,31,2738},{11,31,3675},{9,31,411},{9,31,411},{8,24,129},{0,31,3354},{0,25,244},{18,31,388},{18,31,388},{18,31,388},{17,30,0},{26,13,2178},{11,31,290},{11,31,290},{4,25,1},{21,21,2178},{4,25,1},{31,23,1201},{24,31,653},{22,31,4},{15,31,1},{31,23,1201},{30,27,1201},{15,31,1},{0,28,1201},{30,27,1201},{0,28,1201},{13,0,2689},
{13,0,2689},{13,0,2689},{13,0,2689},{8,31,17},{8,31,17},{8,31,17},{8,23,5},{0,26,218},{0,26,218},{17,31,10434},{16,31,7010},{15,31,4693},{14,31,2833},{16,31,11374},{12,31,4462},{10,31,629},{8,28,1387},{6,31,10895},{0,28,1002},{22,31,3334},{20,31,1701},{19,31,505},{18,31,0},{30,17,5829},{16,31,3145},{12,31,405},{1,28,866},{25,25,5829},{1,28,866},{15,31,4693},{15,31,4693},{15,31,4693},
{14,31,2833},{12,31,3906},{10,31,629},{10,31,629},{9,25,129},{1,31,3525},{0,27,228},{19,31,505},{19,31,505},{19,31,505},{18,31,0},{28,12,2178},{12,31,405},{12,31,405},{5,26,1},{22,22,2178},{5,26,1},{30,26,841},{25,31,461},{23,31,1},{18,31,0},{30,26,841},{31,27,841},{18,31,0},{0,28,865},{31,27,841},{0,28,865},{14,0,2689},{14,0,2689},{14,0,2689},{14,0,2689},{9,31,50},
{9,31,50},{9,31,50},{9,23,10},{0,28,137},{0,28,137},{18,31,9934},{17,31,6962},{16,31,4913},{15,31,2978},{17,31,10683},{13,31,4277},{11,31,915},{9,28,994},{8,31,10078},{0,29,630},{23,31,2934},{22,31,1605},{21,31,650},{19,31,25},{31,17,5082},{18,31,2769},{14,31,521},{2,29,546},{25,26,5082},{2,29,546},{16,31,4913},{16,31,4913},{16,31,4913},{15,31,2978},{14,31,4170},{11,31,915},{11,31,915},
{10,26,129},{3,31,3789},{1,28,226},{21,31,650},{21,31,650},{21,31,650},{19,31,25},{29,13,2178},{14,31,521},{14,31,521},{6,27,1},{28,20,2178},{6,27,1},{31,26,545},{26,31,305},{25,31,4},{20,31,1},{31,26,545},{29,29,545},{20,31,1},{0,29,545},{29,29,545},{0,29,545},{15,0,2689},{15,0,2689},{15,0,2689},{15,0,2689},{11,31,74},{11,31,74},{11,31,74},{10,24,5},{0,29,85},
{0,29,85},{19,31,9465},{18,31,6955},{17,31,5233},{16,31,3218},{18,31,10003},{14,31,4183},{13,31,1258},{10,29,645},{9,31,9445},{1,30,409},{24,31,2529},{23,31,1525},{22,31,785},{20,31,100},{31,19,4344},{20,31,2345},{16,31,698},{5,29,321},{27,26,4344},{5,29,321},{17,31,5233},{17,31,5233},{17,31,5233},{16,31,3218},{15,31,4491},{13,31,1258},{13,31,1258},{11,27,134},{5,31,4171},{2,29,213},{22,31,785},
{22,31,785},{22,31,785},{20,31,100},{29,16,2178},{16,31,698},{16,31,698},{7,28,0},{31,20,2178},{7,28,0},{31,27,290},{28,31,162},{26,31,4},{23,31,1},{31,27,290},{30,29,290},{23,31,1},{0,29,320},{30,29,290},{0,29,320},{16,0,2689},{16,0,2689},{16,0,2689},{16,0,2689},{12,31,113},{12,31,113},{12,31,113},{11,26,8},{0,31,45},{0,31,45},{20,31,9219},{19,31,6985},{18,31,5530},
{17,31,3473},{19,31,9496},{15,31,4186},{14,31,1630},{12,29,426},{11,31,8961},{3,30,277},{25,31,2275},{24,31,1509},{23,31,932},{22,31,208},{30,22,3779},{21,31,2086},{18,31,850},{6,30,129},{27,27,3779},{6,30,129},{18,31,5530},{18,31,5530},{18,31,5530},{17,31,3473},{16,31,4770},{14,31,1630},{14,31,1630},{12,28,129},{8,31,4442},{3,30,213},{23,31,932},{23,31,932},{23,31,932},{22,31,208},{30,17,2178},
{18,31,850},{18,31,850},{8,29,1},{25,25,2178},{8,29,1},{30,30,128},{29,31,72},{28,31,1},{26,31,0},{30,30,128},{30,30,128},{26,31,0},{0,30,128},{30,30,128},{0,30,128},{17,0,2689},{17,0,2689},{17,0,2689},{17,0,2689},{13,31,170},{13,31,170},{13,31,170},{12,27,5},{2,31,89},{2,31,89},{21,31,8929},{20,31,7062},{19,31,5845},{18,31,3778},{20,31,9188},{17,31,4260},{15,31,2070},
{13,30,234},{13,31,8680},{4,31,228},{26,31,2089},{25,31,1515},{24,31,1073},{23,31,353},{30,24,3299},{22,31,1913},{20,31,965},{9,30,65},{29,27,3299},{9,30,65},{19,31,5845},{19,31,5845},{19,31,5845},{18,31,3778},{17,31,5124},{15,31,2070},{15,31,2070},{13,29,129},{9,31,4725},{4,31,228},{24,31,1073},{24,31,1073},{24,31,1073},{23,31,353},{31,18,2178},{20,31,965},{20,31,965},{9,30,1},{26,26,2178},
{9,30,1},{31,30,34},{30,31,18},{29,31,4},{28,31,1},{31,30,34},{31,30,34},{28,31,1},{0,30,64},{31,30,34},{0,30,64},{18,0,2689},{18,0,2689},{18,0,2689},{18,0,2689},{14,31,245},{14,31,245},{14,31,245},{13,27,10},{4,31,164},{4,31,164},{22,31,8707},{21,31,7170},{21,31,6209},{19,31,4133},{21,31,8853},{18,31,4387},{17,31,2548},{14,31,170},{14,31,8388},{6,31,244},{27,31,1971},
{26,31,1557},{25,31,1250},{24,31,565},{31,24,2904},{23,31,1826},{22,31,1145},{10,31,1},{24,31,2904},{10,31,1},{21,31,6209},{21,31,6209},{21,31,6209},{19,31,4133},{19,31,5460},{17,31,2548},{17,31,2548},{14,30,129},{11,31,5085},{6,31,244},{25,31,1250},{25,31,1250},{25,31,1250},{24,31,565},{30,22,2178},{22,31,1145},{22,31,1145},{10,31,1},{27,27,2178},{10,31,1},{31,31,0},{31,31,0},{31,31,0},
{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{19,0,2689},{19,0,2689},{19,0,2689},{19,0,2689},{15,31,338},{15,31,338},{15,31,338},{14,28,5},{6,31,244},{6,31,244},{23,31,7705},{22,31,6418},{21,31,5633},{20,31,3845},{22,31,7654},{19,31,3874},{18,31,2310},{15,31,53},{15,31,7258},{8,31,317},{27,31,1458},{27,31,1186},{26,31,932},{25,31,425},{31,25,2166},
{25,31,1398},{23,31,850},{13,31,1},{28,29,2166},{13,31,1},{21,31,5633},{21,31,5633},{21,31,5633},{20,31,3845},{19,31,4830},{18,31,2310},{18,31,2310},{15,31,53},{13,31,4506},{8,31,317},{26,31,932},{26,31,932},{26,31,932},{25,31,425},{31,22,1625},{23,31,850},{23,31,850},{13,31,1},{30,26,1625},{13,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{20,0,2689},{20,0,2689},{20,0,2689},{20,0,2689},{16,31,449},{16,31,449},{16,31,449},{15,30,8},{8,31,317},{8,31,317},{24,31,6881},{23,31,5814},{22,31,5138},{21,31,3650},{23,31,6713},{20,31,3400},{19,31,2142},{16,31,5},{17,31,6397},{9,31,425},{28,31,1075},{27,31,866},{27,31,697},{26,31,320},{31,26,1601},{26,31,1041},{24,31,653},{15,31,1},{29,29,1601},
{15,31,1},{22,31,5138},{22,31,5138},{22,31,5138},{21,31,3650},{21,31,4313},{19,31,2142},{19,31,2142},{16,31,5},{14,31,3981},{9,31,425},{27,31,697},{27,31,697},{27,31,697},{26,31,320},{31,23,1201},{24,31,653},{24,31,653},{15,31,1},{30,27,1201},{15,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{21,0,2689},
{21,0,2689},{21,0,2689},{21,0,2689},{18,31,549},{18,31,549},{18,31,549},{16,31,5},{9,31,425},{9,31,425},{24,31,6097},{24,31,5285},{23,31,4693},{22,31,3473},{23,31,5833},{21,31,3067},{20,31,1988},{17,31,10},{18,31,5571},{11,31,541},{28,31,739},{28,31,595},{27,31,505},{27,31,233},{30,28,1121},{26,31,737},{25,31,461},{18,31,0},{28,30,1121},{18,31,0},{23,31,4693},{23,31,4693},{23,31,4693},
{22,31,3473},{22,31,3845},{20,31,1988},{20,31,1988},{17,31,10},{15,31,3542},{11,31,541},{27,31,505},{27,31,505},{27,31,505},{27,31,233},{30,26,841},{25,31,461},{25,31,461},{18,31,0},{31,27,841},{18,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{22,0,2689},{22,0,2689},{22,0,2689},{22,0,2689},{19,31,666},
{19,31,666},{19,31,666},{17,31,10},{11,31,541},{11,31,541},{25,31,5427},{24,31,4757},{24,31,4273},{23,31,3314},{24,31,5002},{22,31,2788},{21,31,1898},{18,31,65},{20,31,4714},{13,31,698},{29,31,489},{28,31,387},{28,31,306},{28,31,162},{30,29,726},{27,31,482},{26,31,305},{20,31,1},{29,30,726},{20,31,1},{24,31,4273},{24,31,4273},{24,31,4273},{23,31,3314},{22,31,3429},{21,31,1898},{21,31,1898},
{18,31,65},{17,31,3213},{13,31,698},{28,31,306},{28,31,306},{28,31,306},{28,31,162},{31,26,545},{26,31,305},{26,31,305},{20,31,1},{29,29,545},{20,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{23,0,2689},{23,0,2689},{23,0,2689},{23,0,2689},{20,31,832},{20,31,832},{20,31,832},{18,31,65},{13,31,698},
{13,31,698},{4,31,33740},{0,31,5184},{0,22,420},{0,21,4221},{3,31,45594},{0,29,24105},{0,21,8317},{0,18,24790},{0,21,63990},{0,16,38959},{2,31,9704},{0,30,2866},{0,21,389},{0,19,3229},{14,2,18065},{0,20,13257},{0,17,6153},{0,12,13481},{25,0,18065},{0,12,13481},{0,15,1},{0,15,1},{0,15,1},{0,9,1},{0,8,1105},{0,7,585},{0,7,585},{0,4,596},{0,4,1273},{0,4,740},{0,15,1},
{0,15,1},{0,15,1},{0,9,1},{4,1,1105},{0,7,585},{0,7,585},{0,4,596},{8,0,1105},{0,4,596},{20,4,9248},{0,30,2866},{0,21,389},{0,19,3229},{20,4,9248},{29,5,9248},{0,19,3229},{0,14,9248},{29,5,9248},{0,14,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{4,31,38380},{1,31,6614},{0,23,245},
{0,22,3864},{4,31,50747},{0,31,24961},{0,22,8353},{0,19,25735},{0,22,65535},{0,17,41319},{2,31,10152},{0,31,2624},{0,23,229},{0,20,2980},{16,0,19334},{0,20,13769},{0,18,6243},{0,13,14116},{25,1,19334},{0,13,14116},{0,18,0},{0,18,0},{0,18,0},{0,11,1},{0,9,1513},{0,8,772},{0,8,772},{0,5,821},{0,5,1750},{0,4,1028},{0,18,0},{0,18,0},{0,18,0},{0,11,1},{5,1,1513},
{0,8,772},{0,8,772},{0,5,821},{9,0,1513},{0,5,821},{24,0,9248},{0,31,2624},{0,23,229},{0,20,2980},{24,0,9248},{30,6,9248},{0,20,2980},{0,15,9248},{30,6,9248},{0,15,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{4,31,43788},{1,31,8598},{0,24,126},{0,23,3525},{4,31,56155},{0,31,26241},{0,23,8425},
{0,20,26793},{0,23,65535},{0,18,43819},{3,31,10706},{0,31,2624},{0,24,122},{0,21,2701},{17,0,20689},{0,22,14385},{0,19,6369},{0,13,14756},{25,2,20689},{0,13,14756},{0,21,1},{0,21,1},{0,21,1},{0,12,4},{0,10,1989},{0,9,1018},{0,9,1018},{0,6,1096},{0,5,2294},{0,5,1334},{0,21,1},{0,21,1},{0,21,1},{0,12,4},{5,2,1985},{0,9,1018},{0,9,1018},{0,6,1096},{9,1,1985},
{0,6,1096},{25,1,9248},{0,31,2624},{0,24,122},{0,21,2701},{25,1,9248},{31,7,9248},{0,21,2701},{0,16,9250},{31,7,9248},{0,16,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{5,31,49566},{1,31,11350},{0,25,41},{0,24,3109},{4,31,62331},{0,31,28289},{0,24,8585},{0,21,27848},{0,23,65535},{0,19,46459},{4,31,11395},
{0,31,2880},{0,25,37},{0,22,2440},{17,2,22129},{0,23,15030},{0,20,6509},{0,14,15441},{27,2,22129},{0,14,15441},{0,23,1},{0,23,1},{0,23,1},{0,14,0},{0,12,2525},{0,10,1300},{0,10,1300},{0,6,1384},{0,6,2905},{0,6,1708},{0,23,1},{0,23,1},{0,23,1},{0,14,0},{7,0,2521},{0,10,1300},{0,10,1300},{0,6,1384},{10,1,2521},{0,6,1384},{26,2,9248},{1,31,2866},{0,25,37},
{0,22,2440},{26,2,9248},{27,11,9248},{0,22,2440},{0,17,9250},{27,11,9248},{0,17,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{5,31,56892},{2,31,15166},{0,26,20},{0,25,2804},{5,31,65535},{0,31,31511},{0,25,8733},{0,22,29095},{0,26,65535},{0,20,49444},{4,31,12385},{1,31,3380},{0,26,4},{0,23,2173},{17,4,23851},
{0,23,15948},{0,21,6729},{0,15,16274},{29,2,23851},{0,15,16274},{0,26,0},{0,26,0},{0,26,0},{0,16,4},{0,13,3200},{0,11,1665},{0,11,1665},{0,7,1754},{0,7,3691},{0,6,2185},{0,26,0},{0,26,0},{0,26,0},{0,16,4},{2,10,3200},{0,11,1665},{0,11,1665},{0,7,1754},{13,0,3200},{0,7,1754},{24,8,9248},{3,31,3204},{0,26,4},{0,23,2173},{24,8,9248},{30,11,9248},{0,23,2173},
{0,18,9248},{30,11,9248},{0,18,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{6,31,63870},{2,31,19230},{0,27,45},{0,27,2520},{5,31,65535},{1,31,35016},{0,26,8925},{0,23,30250},{0,28,65535},{0,21,52374},{5,31,13379},{2,31,4026},{0,27,29},{0,24,1901},{18,4,25472},{0,26,16706},{0,22,6963},{0,16,17124},{29,3,25472},
{0,16,17124},{0,29,1},{0,29,1},{0,29,1},{0,17,1},{0,14,3874},{0,13,2084},{0,13,2084},{0,8,2165},{0,8,4466},{0,7,2627},{0,29,1},{0,29,1},{0,29,1},{0,17,1},{8,1,3872},{0,13,2084},{0,13,2084},{0,8,2165},{6,5,3872},{0,8,2165},{28,4,9248},{5,31,3589},{1,27,4},{0,24,1901},{28,4,9248},{29,13,9248},{0,24,1901},{0,19,9248},{29,13,9248},{0,19,9248},{0,0,0},
{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{6,31,65535},{2,31,24002},{0,28,109},{0,27,2268},{6,31,65535},{1,31,38780},{0,27,8825},{0,24,30825},{0,28,65535},{0,22,54996},{6,31,14345},{2,31,4766},{1,28,62},{0,26,1697},{18,6,26744},{0,28,17104},{0,23,6957},{0,17,17625},{31,3,26744},{0,17,17625},{0,31,5},{0,31,5},{0,31,5},
{0,19,5},{0,16,4418},{0,14,2306},{0,14,2306},{0,9,2420},{0,8,5122},{0,8,2997},{0,31,5},{0,31,5},{0,31,5},{0,19,5},{9,1,4418},{0,14,2306},{0,14,2306},{0,9,2420},{16,0,4418},{0,9,2420},{29,5,9248},{8,31,3904},{2,28,1},{0,26,1693},{29,5,9248},{30,14,9248},{0,26,1693},{0,20,9250},{30,14,9248},{0,20,9250},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,1,1},
{0,1,1},{0,1,1},{0,0,4},{0,0,4},{0,0,4},{7,31,65535},{3,31,29032},{0,29,330},{0,28,2105},{6,31,65535},{2,31,42151},{0,28,7781},{0,25,30108},{0,29,65535},{0,22,56388},{7,31,14819},{3,31,5416},{2,29,62},{0,27,1580},{23,0,26744},{0,29,16547},{0,24,6221},{0,18,17124},{30,5,26744},{0,18,17124},{1,31,84},{1,31,84},{1,31,84},{1,20,72},{0,19,4420},{0,16,2005},{0,16,2005},
{0,10,2165},{0,9,5389},{0,9,2925},{1,31,20},{1,31,20},{1,31,20},{1,20,8},{10,2,4418},{0,16,2005},{0,16,2005},{0,10,2165},{17,1,4418},{0,10,2165},{30,6,9248},{8,31,4160},{3,29,1},{0,27,1480},{30,6,9248},{31,15,9248},{0,27,1480},{0,21,9250},{31,15,9248},{0,21,9250},{1,0,68},{1,0,68},{1,0,68},{1,0,68},{0,3,1},{0,3,1},{0,3,1},{0,2,0},{0,1,34},
{0,1,34},{7,31,65535},{3,31,35719},{1,30,717},{0,30,2062},{7,31,65535},{2,31,46660},{0,29,6696},{0,26,29322},{0,31,65535},{0,23,58077},{9,31,15473},{5,31,6173},{3,30,65},{1,28,1601},{23,3,26744},{0,31,15992},{0,26,5346},{0,19,16582},{28,8,26744},{0,19,16582},{2,31,329},{2,31,329},{2,31,329},{1,21,189},{0,22,4420},{0,18,1737},{0,18,1737},{0,11,1898},{0,11,5707},{0,10,2885},{3,31,34},
{3,31,34},{3,31,34},{2,21,10},{13,0,4418},{0,18,1737},{0,18,1737},{0,11,1898},{20,1,4418},{0,11,1898},{28,12,9248},{10,31,4570},{4,30,4},{0,28,1285},{28,12,9248},{22,22,9248},{0,28,1285},{0,22,9248},{22,22,9248},{0,22,9248},{1,0,185},{1,0,185},{1,0,185},{1,0,185},{0,6,1},{0,6,1},{0,6,1},{0,4,1},{0,3,97},{0,3,97},{7,31,65535},{4,31,40786},{1,31,1122},
{0,30,2138},{7,31,65535},{2,31,49800},{0,30,5634},{0,27,27967},{0,31,65535},{0,24,58770},{10,31,15531},{6,31,6593},{4,31,61},{2,29,1533},{25,2,26259},{0,31,15284},{0,27,4514},{0,20,15812},{27,10,26259},{0,20,15812},{2,31,633},{2,31,633},{2,31,633},{2,22,381},{0,24,4418},{0,20,1480},{0,20,1480},{0,12,1640},{0,12,6125},{0,11,2891},{4,31,61},{4,31,61},{4,31,61},{3,22,10},{14,1,4418},
{0,20,1480},{0,20,1480},{0,12,1640},{24,0,4418},{0,12,1640},{30,11,8978},{11,31,4744},{5,31,0},{0,29,1040},{30,11,8978},{31,18,8978},{0,29,1040},{0,23,8980},{31,18,8978},{0,23,8980},{2,0,377},{2,0,377},{2,0,377},{2,0,377},{0,9,0},{0,9,0},{0,9,0},{0,5,4},{0,4,193},{0,4,193},{8,31,65535},{4,31,40898},{1,31,1890},{0,31,2125},{7,31,65535},{3,31,47871},{0,30,4194},
{0,27,24703},{0,31,65535},{0,24,56130},{11,31,14325},{8,31,6051},{5,31,100},{3,29,1218},{22,9,24371},{0,31,13716},{0,28,3402},{0,21,13989},{29,10,24371},{0,21,13989},{3,31,1058},{3,31,1058},{3,31,1058},{2,24,617},{0,27,4420},{0,22,1280},{0,22,1280},{0,13,1445},{0,14,6509},{0,12,2945},{5,31,100},{5,31,100},{5,31,100},{4,23,5},{16,0,4418},{0,22,1280},{0,22,1280},{0,13,1445},{25,1,4418},
{0,13,1445},{29,14,7938},{13,31,4225},{7,31,4},{0,29,656},{29,14,7938},{29,20,7938},{0,29,656},{0,23,7956},{29,20,7938},{0,23,7956},{2,0,617},{2,0,617},{2,0,617},{2,0,617},{0,11,4},{0,11,4},{0,11,4},{0,7,0},{0,5,325},{0,5,325},{8,31,65535},{4,31,41266},{1,31,2914},{1,31,2170},{7,31,65535},{3,31,46175},{0,30,3010},{0,27,21695},{0,31,65535},{0,25,53636},{12,31,13140},
{8,31,5571},{6,31,157},{4,29,932},{24,7,22568},{0,31,12404},{0,28,2474},{0,21,12245},{29,11,22568},{0,21,12245},{4,31,1630},{4,31,1630},{4,31,1630},{3,25,937},{0,29,4420},{0,23,1090},{0,23,1090},{0,14,1268},{0,15,6926},{0,13,3029},{6,31,157},{6,31,157},{6,31,157},{5,24,8},{17,1,4418},{0,23,1090},{0,23,1090},{0,14,1268},{26,2,4418},{0,14,1268},{31,12,6962},{14,31,3709},{8,31,1},
{0,30,353},{31,12,6962},{27,22,6962},{0,30,353},{0,24,6970},{27,22,6962},{0,24,6970},{3,0,937},{3,0,937},{3,0,937},{3,0,937},{0,14,0},{0,14,0},{0,14,0},{0,8,4},{0,6,493},{0,6,493},{9,31,65535},{5,31,41956},{2,31,4257},{1,31,2512},{7,31,65535},{3,31,44573},{0,30,1984},{0,28,18569},{0,31,65535},{0,25,51026},{13,31,11930},{10,31,5125},{7,31,250},{5,29,701},{27,4,20642},
{1,31,11209},{0,29,1634},{0,22,10422},{31,11,20642},{0,22,10422},{4,31,2350},{4,31,2350},{4,31,2350},{3,27,1361},{0,31,4450},{0,25,949},{0,25,949},{0,16,1096},{0,16,7397},{0,14,3171},{7,31,250},{7,31,250},{7,31,250},{6,25,10},{17,4,4418},{0,25,949},{0,25,949},{0,16,1096},{29,2,4418},{0,16,1096},{30,15,5941},{15,31,3176},{10,31,0},{0,30,128},{30,15,5941},{30,21,5941},{0,30,128},
{0,24,5953},{30,21,5941},{0,24,5953},{3,0,1360},{3,0,1360},{3,0,1360},{3,0,1360},{0,17,0},{0,17,0},{0,17,0},{0,10,1},{0,8,697},{0,8,697},{9,31,65535},{5,31,42660},{2,31,5617},{1,31,3088},{8,31,65535},{3,31,43421},{0,31,1250},{0,28,15865},{0,31,65535},{0,25,48978},{13,31,10922},{11,31,4753},{8,31,360},{6,30,509},{28,4,19021},{2,31,10246},{0,30,1088},{0,23,8945},{29,13,19021},
{0,23,8945},{5,31,3131},{5,31,3131},{5,31,3131},{4,28,1822},{1,31,4580},{0,28,776},{0,28,776},{0,17,925},{0,18,7893},{0,15,3333},{8,31,360},{8,31,360},{8,31,360},{7,26,10},{18,5,4418},{0,28,776},{0,28,776},{0,17,925},{30,3,4418},{0,17,925},{31,15,5101},{17,31,2777},{11,31,9},{0,31,25},{31,15,5101},{30,22,5101},{0,31,25},{0,25,5105},{30,22,5101},{0,25,5105},{4,0,1818},
{4,0,1818},{4,0,1818},{4,0,1818},{0,20,1},{0,20,1},{0,20,1},{0,12,1},{0,9,925},{0,9,925},{9,31,65535},{5,31,43620},{2,31,7233},{1,31,3920},{8,31,65535},{3,31,42525},{0,31,738},{0,28,13417},{0,31,65535},{0,25,47186},{14,31,9978},{11,31,4449},{10,31,452},{7,30,354},{31,1,17485},{3,31,9369},{0,30,704},{0,24,7570},{31,13,17485},{0,24,7570},{6,31,4058},{6,31,4058},{6,31,4058},
{4,29,2315},{2,31,4874},{0,29,610},{0,29,610},{0,18,772},{0,20,8427},{0,16,3497},{10,31,452},{10,31,452},{10,31,452},{8,27,5},{20,4,4418},{0,29,610},{0,29,610},{0,18,772},{29,5,4418},{0,18,772},{31,16,4325},{18,31,2357},{13,31,0},{1,31,0},{31,16,4325},{31,22,4325},{1,31,0},{0,25,4337},{31,22,4325},{0,25,4337},{4,0,2314},{4,0,2314},{4,0,2314},{4,0,2314},{0,22,1},
{0,22,1},{0,22,1},{0,13,4},{0,10,1189},{0,10,1189},{9,31,65535},{5,31,44836},{2,31,9105},{2,31,4905},{8,31,65535},{3,31,41885},{0,31,482},{0,28,11225},{0,31,65535},{0,26,45590},{15,31,9102},{13,31,4161},{11,31,557},{9,30,212},{29,6,16034},{5,31,8602},{0,31,482},{0,24,6242},{31,14,16034},{0,24,6242},{6,31,5066},{6,31,5066},{6,31,5066},{5,30,2907},{2,31,5322},{0,31,482},{0,31,482},
{0,19,637},{0,20,8939},{0,17,3725},{11,31,557},{11,31,557},{11,31,557},{9,28,8},{24,0,4418},{0,31,482},{0,31,482},{0,19,637},{30,6,4418},{0,19,637},{30,19,3613},{20,31,1940},{15,31,4},{4,31,1},{30,19,3613},{31,23,3613},{4,31,1},{0,26,3617},{31,23,3613},{0,26,3617},{5,0,2906},{5,0,2906},{5,0,2906},{5,0,2906},{0,25,1},{0,25,1},{0,25,1},{0,15,0},{0,11,1489},
{0,11,1489},{9,31,65535},{5,31,46510},{3,31,11362},{2,31,6237},{9,31,65535},{3,31,41471},{0,31,500},{0,29,8976},{0,31,65535},{0,26,43934},{16,31,8139},{14,31,3853},{12,31,680},{10,30,109},{26,13,14504},{8,31,7667},{0,31,500},{0,25,4979},{21,21,14504},{0,25,4979},{7,31,6337},{7,31,6337},{7,31,6337},{5,31,3642},{3,31,5962},{0,31,500},{0,31,500},{0,20,520},{0,22,9629},{0,18,4035},{12,31,680},
{12,31,680},{12,31,680},{10,29,10},{24,3,4418},{0,31,500},{0,31,500},{0,20,520},{28,9,4418},{0,20,520},{31,19,2888},{20,31,1517},{16,31,1},{7,31,1},{31,19,2888},{27,26,2888},{7,31,1},{0,26,2906},{27,26,2888},{0,26,2906},{5,0,3617},{5,0,3617},{5,0,3617},{5,0,3617},{0,28,1},{0,28,1},{0,28,1},{0,17,4},{0,11,1930},{0,11,1930},{10,31,65535},{6,31,48082},{3,31,13570},
{2,31,7693},{9,31,65535},{3,31,41375},{0,31,788},{0,29,7120},{0,31,65535},{0,26,42734},{17,31,7409},{15,31,3625},{13,31,821},{11,31,45},{28,11,13235},{8,31,6899},{2,31,628},{0,25,3987},{31,16,13235},{0,25,3987},{7,31,7681},{7,31,7681},{7,31,7681},{6,31,4437},{4,31,6659},{1,31,738},{1,31,738},{0,21,421},{0,23,10286},{0,20,4305},{13,31,821},{13,31,821},{13,31,821},{11,30,10},{22,9,4418},
{2,31,628},{2,31,628},{0,21,421},{29,10,4418},{0,21,421},{31,20,2312},{21,31,1217},{18,31,1},{9,31,0},{31,20,2312},{30,25,2312},{9,31,0},{0,27,2314},{30,25,2312},{0,27,2314},{6,0,4337},{6,0,4337},{6,0,4337},{6,0,4337},{0,30,1},{0,30,1},{0,30,1},{0,18,1},{0,13,2329},{0,13,2329},{10,31,65535},{6,31,49890},{3,31,16034},{2,31,9405},{9,31,65535},{4,31,41526},{0,31,1332},
{0,29,5520},{0,31,65535},{0,26,41790},{18,31,6747},{16,31,3459},{14,31,980},{12,31,5},{31,8,12051},{10,31,6275},{4,31,801},{0,26,3066},{28,19,12051},{0,26,3066},{8,31,9062},{8,31,9062},{8,31,9062},{7,31,5410},{4,31,7555},{1,31,1154},{1,31,1154},{0,23,325},{0,23,11118},{0,20,4625},{14,31,980},{14,31,980},{14,31,980},{12,31,5},{24,8,4418},{4,31,801},{4,31,801},{0,23,325},{30,11,4418},
{0,23,325},{30,23,1800},{23,31,949},{19,31,4},{12,31,1},{30,23,1800},{28,27,1800},{12,31,1},{0,27,1818},{28,27,1800},{0,27,1818},{6,0,5105},{6,0,5105},{6,0,5105},{6,0,5105},{0,31,36},{0,31,36},{0,31,36},{0,20,4},{0,15,2741},{0,15,2741},{10,31,65535},{6,31,51954},{3,31,18754},{3,31,11330},{9,31,65535},{4,31,41798},{1,31,2082},{0,29,4176},{0,31,65535},{0,27,41092},{19,31,6153},
{17,31,3297},{16,31,1154},{13,31,20},{29,13,10952},{11,31,5708},{6,31,965},{0,27,2291},{28,20,10952},{0,27,2291},{9,31,10545},{9,31,10545},{9,31,10545},{7,31,6482},{5,31,8549},{2,31,1716},{2,31,1716},{0,24,221},{0,26,11876},{0,22,4989},{16,31,1154},{16,31,1154},{16,31,1154},{13,31,20},{28,4,4418},{6,31,965},{6,31,965},{0,24,221},{29,13,4418},{0,24,221},{29,26,1352},{23,31,725},{21,31,0},
{14,31,1},{29,26,1352},{31,26,1352},{14,31,1},{0,28,1360},{31,26,1352},{0,28,1360},{7,0,5953},{7,0,5953},{7,0,5953},{7,0,5953},{1,31,145},{1,31,145},{1,31,145},{0,21,1},{0,16,3130},{0,16,3130},{10,31,65535},{6,31,54582},{4,31,21886},{3,31,13652},{9,31,65535},{4,31,42410},{1,31,3144},{0,30,2841},{0,31,65535},{0,27,40390},{19,31,5649},{18,31,3157},{17,31,1325},{15,31,74},{29,15,9818},
{13,31,5241},{8,31,1108},{0,27,1589},{30,20,9818},{0,27,1589},{10,31,12376},{10,31,12376},{10,31,12376},{8,31,7844},{6,31,9861},{3,31,2576},{3,31,2576},{0,25,136},{0,28,12696},{0,23,5429},{17,31,1325},{17,31,1325},{17,31,1325},{15,31,74},{31,2,4418},{8,31,1108},{8,31,1108},{0,25,136},{27,16,4418},{0,25,136},{31,24,925},{25,31,505},{23,31,1},{17,31,1},{31,24,925},{31,27,925},{17,31,1},
{0,28,937},{31,27,925},{0,28,937},{7,0,6970},{7,0,6970},{7,0,6970},{7,0,6970},{1,31,388},{1,31,388},{1,31,388},{0,23,0},{0,17,3665},{0,17,3665},{10,31,65535},{7,31,57052},{4,31,24910},{3,31,15988},{9,31,65535},{4,31,43226},{1,31,4360},{0,30,1833},{0,31,65535},{0,27,40038},{21,31,5202},{19,31,3073},{18,31,1508},{16,31,180},{30,15,8901},{14,31,4814},{10,31,1300},{0,28,1021},{30,21,8901},
{0,28,1021},{10,31,14136},{10,31,14136},{10,31,14136},{8,31,9252},{7,31,11195},{3,31,3536},{3,31,3536},{0,26,85},{0,29,13491},{0,23,5925},{18,31,1508},{18,31,1508},{18,31,1508},{16,31,180},{26,13,4418},{10,31,1300},{10,31,1300},{0,26,85},{21,21,4418},{0,26,85},{30,27,613},{26,31,337},{24,31,1},{20,31,1},{30,27,613},{30,28,613},{20,31,1},{0,29,617},{30,28,613},{0,29,617},{8,0,7956},
{8,0,7956},{8,0,7956},{8,0,7956},{2,31,697},{2,31,697},{2,31,697},{0,25,4},{0,18,4181},{0,18,4181},{11,31,65535},{7,31,59708},{4,31,28190},{3,31,18580},{10,31,65535},{5,31,44295},{1,31,5832},{0,30,1081},{0,31,65535},{0,27,39942},{22,31,4818},{20,31,3017},{19,31,1709},{17,31,325},{30,17,8069},{15,31,4473},{11,31,1514},{0,29,602},{25,25,8069},{0,29,602},{11,31,15965},{11,31,15965},{11,31,15965},
{9,31,10757},{7,31,12667},{4,31,4662},{4,31,4662},{0,27,52},{0,30,14340},{0,25,6449},{19,31,1709},{19,31,1709},{19,31,1709},{17,31,325},{28,12,4418},{11,31,1514},{11,31,1514},{0,27,52},{22,22,4418},{0,27,52},{31,27,365},{27,31,205},{26,31,1},{22,31,1},{31,27,365},{30,29,365},{22,31,1},{0,29,377},{30,29,365},{0,29,377},{8,0,8980},{8,0,8980},{8,0,8980},{8,0,8980},{2,31,1097},
{2,31,1097},{2,31,1097},{0,26,1},{0,20,4682},{0,20,4682},{11,31,65535},{8,31,58981},{5,31,29551},{4,31,19751},{10,31,65535},{5,31,43215},{2,31,6910},{1,30,686},{0,31,65535},{0,28,34909},{23,31,4502},{21,31,3011},{20,31,1973},{18,31,520},{31,17,7322},{17,31,4242},{13,31,1769},{0,29,314},{25,26,7322},{0,29,314},{12,31,16739},{12,31,16739},{12,31,16739},{10,31,11492},{8,31,13636},{5,31,5510},{5,31,5510},
{1,28,54},{0,31,14139},{0,26,6041},{20,31,1973},{20,31,1973},{20,31,1973},{18,31,520},{29,13,4418},{13,31,1769},{13,31,1769},{0,28,29},{28,20,4418},{0,28,29},{31,28,181},{28,31,97},{27,31,4},{25,31,0},{31,28,181},{31,29,181},{25,31,0},{0,30,185},{31,29,181},{0,30,185},{9,0,9248},{9,0,9248},{9,0,9248},{9,0,9248},{3,31,1348},{3,31,1348},{3,31,1348},{1,27,5},{0,21,4520},
{0,21,4520},{12,31,65535},{9,31,57270},{6,31,30345},{5,31,20521},{11,31,65535},{6,31,41449},{3,31,8015},{2,31,301},{0,31,65535},{0,28,28330},{24,31,4181},{22,31,3053},{21,31,2248},{20,31,772},{31,19,6584},{20,31,3941},{15,31,2041},{0,30,77},{27,26,6584},{0,30,77},{13,31,17289},{13,31,17289},{13,31,17289},{11,31,12050},{10,31,14315},{7,31,6389},{7,31,6389},{2,29,53},{0,31,13860},{0,28,5286},{21,31,2248},
{21,31,2248},{21,31,2248},{20,31,772},{29,16,4418},{15,31,2041},{15,31,2041},{0,30,13},{31,20,4418},{0,30,13},{30,31,50},{30,31,34},{29,31,0},{28,31,1},{30,31,50},{31,30,50},{28,31,1},{0,30,68},{31,30,50},{0,30,68},{10,0,9250},{10,0,9250},{10,0,9250},{10,0,9250},{4,31,1549},{4,31,1549},{4,31,1549},{2,28,2},{0,23,4114},{0,23,4114},{13,31,65535},{9,31,55894},{7,31,31068},
{6,31,21256},{12,31,65535},{8,31,39740},{4,31,9073},{3,31,90},{0,31,65535},{0,29,23356},{24,31,3973},{23,31,3125},{23,31,2500},{21,31,1037},{30,22,6019},{20,31,3701},{17,31,2340},{0,31,4},{27,27,6019},{0,31,4},{14,31,17796},{14,31,17796},{14,31,17796},{12,31,12625},{11,31,14957},{8,31,7139},{8,31,7139},{3,30,53},{0,31,14020},{0,29,4652},{23,31,2500},{23,31,2500},{23,31,2500},{21,31,1037},{30,17,4418},
{17,31,2340},{17,31,2340},{0,31,4},{25,25,4418},{0,31,4},{31,31,4},{31,31,4},{31,31,4},{30,31,1},{31,31,4},{31,31,4},{30,31,1},{0,31,4},{31,31,4},{0,31,4},{11,0,9250},{11,0,9250},{11,0,9250},{11,0,9250},{6,31,1765},{6,31,1765},{6,31,1765},{3,29,2},{0,25,3877},{0,25,3877},{13,31,65535},{10,31,53236},{8,31,30487},{7,31,21105},{13,31,65535},{8,31,37332},{5,31,9177},
{4,31,36},{1,31,65535},{0,29,18680},{25,31,3443},{24,31,2741},{23,31,2248},{22,31,980},{29,25,5163},{21,31,3218},{20,31,2117},{3,31,1},{30,26,5163},{3,31,1},{15,31,17289},{15,31,17289},{15,31,17289},{13,31,12512},{12,31,14328},{9,31,7149},{9,31,7149},{4,31,20},{0,31,13376},{0,29,3944},{23,31,2248},{23,31,2248},{23,31,2248},{22,31,980},{31,17,3872},{20,31,2117},{20,31,2117},{3,31,1},{25,26,3872},
{3,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{12,0,9248},{12,0,9248},{12,0,9248},{12,0,9248},{7,31,1972},{7,31,1972},{7,31,1972},{4,30,5},{0,27,3545},{0,27,3545},{14,31,65535},{11,31,50266},{9,31,29322},{8,31,20567},{13,31,65535},{9,31,35025},{6,31,8985},{5,31,21},{2,31,65535},{0,29,14712},{26,31,2873},
{25,31,2283},{24,31,1825},{22,31,820},{30,24,4267},{22,31,2657},{20,31,1685},{5,31,1},{29,27,4267},{5,31,1},{16,31,16427},{16,31,16427},{16,31,16427},{14,31,12185},{13,31,13442},{10,31,6915},{10,31,6915},{5,31,5},{1,31,12539},{0,30,3314},{24,31,1825},{24,31,1825},{24,31,1825},{22,31,820},{28,23,3200},{20,31,1685},{20,31,1685},{5,31,1},{28,25,3200},{5,31,1},{31,31,0},{31,31,0},{31,31,0},
{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{13,0,9248},{13,0,9248},{13,0,9248},{13,0,9248},{8,31,2250},{8,31,2250},{8,31,2250},{5,31,5},{0,28,3170},{0,28,3170},{15,31,65535},{12,31,47239},{10,31,28065},{9,31,20104},{14,31,65535},{10,31,32574},{7,31,8839},{6,31,54},{3,31,64890},{0,30,10964},{26,31,2252},{25,31,1806},{25,31,1445},{23,31,650},{30,25,3361},
{23,31,2091},{21,31,1322},{8,31,0},{30,27,3361},{8,31,0},{17,31,15584},{17,31,15584},{17,31,15584},{15,31,11846},{14,31,12522},{11,31,6697},{11,31,6697},{6,31,50},{3,31,11669},{0,31,2834},{25,31,1445},{25,31,1445},{25,31,1445},{23,31,650},{30,21,2521},{21,31,1322},{21,31,1322},{8,31,0},{31,24,2521},{8,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},
{0,31,0},{31,31,0},{0,31,0},{14,0,9250},{14,0,9250},{14,0,9250},{14,0,9250},{9,31,2525},{9,31,2525},{9,31,2525},{6,31,50},{0,31,2834},{0,31,2834},{16,31,65535},{13,31,44559},{11,31,27000},{10,31,19705},{15,31,64179},{11,31,30525},{8,31,8677},{7,31,149},{3,31,60570},{0,30,8308},{27,31,1782},{26,31,1416},{25,31,1157},{24,31,520},{30,26,2646},{23,31,1691},{22,31,1040},{11,31,1},{31,27,2646},
{11,31,1},{18,31,14889},{18,31,14889},{18,31,14889},{16,31,11585},{15,31,11778},{12,31,6555},{12,31,6555},{7,31,145},{3,31,11061},{0,31,2610},{25,31,1157},{25,31,1157},{25,31,1157},{24,31,520},{31,21,1985},{22,31,1040},{22,31,1040},{11,31,1},{31,25,1985},{11,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{15,0,9250},
{15,0,9250},{15,0,9250},{15,0,9250},{10,31,2792},{10,31,2792},{10,31,2792},{7,31,145},{0,31,2610},{0,31,2610},{16,31,63318},{14,31,42019},{12,31,25930},{11,31,19324},{16,31,59178},{11,31,28845},{9,31,8605},{8,31,276},{6,31,56253},{0,30,6420},{27,31,1366},{27,31,1094},{26,31,872},{25,31,397},{30,27,2017},{25,31,1298},{23,31,794},{13,31,1},{30,28,2017},{13,31,1},{19,31,14244},{19,31,14244},{19,31,14244},
{17,31,11312},{16,31,11037},{13,31,6429},{13,31,6429},{8,31,260},{6,31,10457},{0,31,2642},{26,31,872},{26,31,872},{26,31,872},{25,31,397},{31,22,1513},{23,31,794},{23,31,794},{13,31,1},{29,27,1513},{13,31,1},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{16,0,9248},{16,0,9248},{16,0,9248},{16,0,9248},{12,31,3074},
{12,31,3074},{12,31,3074},{8,31,260},{0,31,2642},{0,31,2642},{17,31,58848},{15,31,39619},{13,31,24975},{12,31,19007},{16,31,54474},{13,31,27057},{10,31,8569},{9,31,461},{8,31,51302},{0,31,5046},{28,31,979},{27,31,806},{27,31,637},{26,31,292},{31,26,1473},{26,31,953},{24,31,605},{16,31,0},{29,29,1473},{16,31,0},{19,31,13604},{19,31,13604},{19,31,13604},{18,31,11057},{16,31,10429},{14,31,6339},{14,31,6339},
{10,31,424},{8,31,9713},{1,31,2900},{27,31,637},{27,31,637},{27,31,637},{26,31,292},{30,25,1105},{24,31,605},{24,31,605},{16,31,0},{30,27,1105},{16,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{31,31,0},{0,31,0},{31,31,0},{0,31,0},{17,0,9248},{17,0,9248},{17,0,9248},{17,0,9248},{12,31,3330},{12,31,3330},{12,31,3330},{10,31,424},{1,31,2900},
{1,31,2900},
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_transcoder_tables_bc7_m5_color.inc | {0,7,18},{0,5,2},{0,4,1},{0,3,8},{0,4,35},{0,3,24},{0,3,12},{0,2,29},{0,2,36},{0,2,30},{0,7,18},{0,5,2},{0,4,1},{0,3,8},{2,0,35},{0,3,24},{0,3,12},{0,2,29},{4,0,35},{0,2,29},{0,3,0},{0,3,0},{0,3,0},{0,1,1},{0,1,2},{0,1,2},{0,1,2},{0,1,1},{1,0,3},{0,1,2},{0,3,0},
{0,3,0},{0,3,0},{0,1,1},{1,0,2},{1,0,2},{1,0,2},{0,1,1},{1,0,2},{0,1,1},{4,0,18},{0,5,2},{0,4,1},{0,3,8},{4,0,18},{7,0,18},{0,3,8},{0,2,20},{7,0,18},{0,2,20},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,15,38},{2,11,20},{2,8,24},
{1,8,21},{0,16,51},{0,10,19},{0,8,2},{0,6,24},{0,8,76},{0,6,40},{3,13,18},{3,10,2},{3,8,1},{3,7,5},{8,0,51},{1,9,19},{0,8,2},{0,6,24},{16,0,51},{0,6,24},{2,11,20},{2,11,20},{2,11,20},{1,7,20},{0,12,8},{0,7,2},{0,7,2},{0,5,1},{0,5,19},{0,5,10},{3,9,0},{3,9,0},{3,9,0},{3,6,0},{6,0,8},
{1,7,0},{1,7,0},{0,5,1},{12,0,8},{0,5,1},{10,0,18},{2,11,0},{3,8,1},{0,8,1},{10,0,18},{20,0,18},{0,8,1},{0,6,20},{20,0,18},{0,6,20},{1,0,20},{1,0,20},{1,0,20},{1,0,20},{0,9,0},{0,9,0},{0,9,0},{0,4,1},{0,3,8},{0,3,8},{6,19,38},{6,15,20},{6,12,24},{5,12,21},{4,20,51},{4,14,19},{4,12,2},
{4,10,24},{0,14,52},{1,10,20},{7,17,18},{7,14,2},{7,12,1},{7,11,5},{14,0,51},{5,13,19},{4,12,2},{1,10,20},{29,0,51},{1,10,20},{6,15,20},{6,15,20},{6,15,20},{5,11,20},{4,16,8},{4,11,2},{4,11,2},{4,9,1},{0,12,8},{1,9,2},{7,13,0},{7,13,0},{7,13,0},{7,10,0},{12,0,8},{5,11,0},{5,11,0},{3,9,0},{24,0,8},
{3,9,0},{15,1,18},{6,15,0},{7,12,1},{3,12,0},{15,1,18},{32,0,18},{3,12,0},{0,10,20},{32,0,18},{0,10,20},{5,0,20},{5,0,20},{5,0,20},{5,0,20},{4,13,0},{4,13,0},{4,13,0},{4,8,1},{1,10,0},{1,10,0},{10,23,38},{10,19,20},{10,16,24},{9,16,21},{8,24,51},{8,18,19},{8,16,2},{8,14,24},{3,18,52},{5,14,20},{11,21,18},
{11,18,2},{11,16,1},{11,15,5},{20,0,51},{9,17,19},{8,16,2},{5,14,20},{41,0,51},{5,14,20},{10,19,20},{10,19,20},{10,19,20},{9,15,20},{8,20,8},{8,15,2},{8,15,2},{8,13,1},{4,16,8},{5,13,2},{11,17,0},{11,17,0},{11,17,0},{11,14,0},{18,0,8},{9,15,0},{9,15,0},{7,13,0},{36,0,8},{7,13,0},{21,1,18},{10,19,0},{11,16,1},
{7,16,0},{21,1,18},{44,0,18},{7,16,0},{0,14,20},{44,0,18},{0,14,20},{9,0,20},{9,0,20},{9,0,20},{9,0,20},{8,17,0},{8,17,0},{8,17,0},{8,12,1},{5,14,0},{5,14,0},{14,29,36},{14,24,18},{14,21,23},{14,20,20},{13,28,52},{13,22,20},{13,20,2},{12,19,23},{7,23,51},{9,19,18},{16,25,19},{15,23,1},{16,20,2},{15,20,6},{27,0,51},
{13,22,19},{13,20,1},{8,19,18},{55,0,51},{8,19,18},{14,24,18},{14,24,18},{14,24,18},{14,19,18},{13,23,9},{13,20,1},{13,20,1},{12,17,2},{9,20,8},{10,18,1},{16,20,1},{16,20,1},{16,20,1},{16,18,1},{24,1,8},{14,19,0},{14,19,0},{12,17,1},{50,0,8},{12,17,1},{28,0,18},{15,23,0},{16,20,1},{12,20,1},{28,0,18},{58,0,18},{12,20,1},
{0,19,18},{58,0,18},{0,19,18},{14,0,18},{14,0,18},{14,0,18},{14,0,18},{13,20,1},{13,20,1},{13,20,1},{12,17,1},{10,18,0},{10,18,0},{18,33,36},{18,28,18},{18,25,23},{18,24,20},{17,32,52},{17,26,20},{17,24,2},{16,23,23},{11,27,51},{13,23,18},{20,29,19},{19,27,1},{20,24,2},{19,24,6},{33,0,51},{17,26,19},{17,24,1},{12,23,18},{66,0,51},
{12,23,18},{18,28,18},{18,28,18},{18,28,18},{18,23,18},{17,27,9},{17,24,1},{17,24,1},{16,21,2},{13,24,8},{14,22,1},{20,24,1},{20,24,1},{20,24,1},{20,22,1},{30,1,8},{18,23,0},{18,23,0},{16,21,1},{62,0,8},{16,21,1},{34,0,18},{19,27,0},{20,24,1},{16,24,1},{34,0,18},{69,0,18},{16,24,1},{0,23,18},{69,0,18},{0,23,18},{18,0,18},
{18,0,18},{18,0,18},{18,0,18},{17,24,1},{17,24,1},{17,24,1},{16,21,1},{14,22,0},{14,22,0},{22,37,36},{22,32,18},{22,29,23},{22,28,20},{21,36,52},{21,30,20},{21,28,2},{20,27,23},{15,31,51},{17,27,18},{24,33,19},{23,31,1},{24,28,2},{23,28,6},{39,0,51},{21,30,19},{21,28,1},{16,27,18},{78,0,51},{16,27,18},{22,32,18},{22,32,18},{22,32,18},
{22,27,18},{21,31,9},{21,28,1},{21,28,1},{20,25,2},{17,28,8},{18,26,1},{24,28,1},{24,28,1},{24,28,1},{24,26,1},{36,1,8},{22,27,0},{22,27,0},{20,25,1},{74,0,8},{20,25,1},{40,0,18},{23,31,0},{24,28,1},{20,28,1},{40,0,18},{82,0,18},{20,28,1},{0,27,18},{82,0,18},{0,27,18},{22,0,18},{22,0,18},{22,0,18},{22,0,18},{21,28,1},
{21,28,1},{21,28,1},{20,25,1},{18,26,0},{18,26,0},{26,41,36},{26,36,18},{26,33,23},{26,32,20},{25,40,52},{25,34,20},{25,32,2},{24,31,23},{19,35,51},{21,31,18},{28,37,19},{27,35,1},{28,32,2},{27,32,6},{45,0,51},{25,34,19},{25,32,1},{20,31,18},{91,0,51},{20,31,18},{26,36,18},{26,36,18},{26,36,18},{26,31,18},{25,35,9},{25,32,1},{25,32,1},
{24,29,2},{21,32,8},{22,30,1},{28,32,1},{28,32,1},{28,32,1},{28,30,1},{42,1,8},{26,31,0},{26,31,0},{24,29,1},{86,0,8},{24,29,1},{46,0,18},{27,35,0},{28,32,1},{24,32,1},{46,0,18},{94,0,18},{24,32,1},{0,31,18},{94,0,18},{0,31,18},{26,0,18},{26,0,18},{26,0,18},{26,0,18},{25,32,1},{25,32,1},{25,32,1},{24,29,1},{22,30,0},
{22,30,0},{31,44,38},{31,40,20},{31,37,24},{30,37,21},{29,45,51},{29,39,19},{29,37,2},{29,35,24},{24,39,52},{26,35,20},{32,42,18},{32,39,2},{32,37,1},{32,36,5},{51,0,51},{30,38,19},{29,37,2},{26,35,20},{104,0,51},{26,35,20},{31,40,20},{31,40,20},{31,40,20},{30,36,20},{29,41,8},{29,36,2},{29,36,2},{29,34,1},{25,37,8},{26,34,2},{32,38,0},
{32,38,0},{32,38,0},{32,35,0},{49,0,8},{30,36,0},{30,36,0},{28,34,0},{100,0,8},{28,34,0},{53,0,18},{31,40,0},{32,37,1},{28,37,0},{53,0,18},{107,0,18},{28,37,0},{0,35,20},{107,0,18},{0,35,20},{30,0,20},{30,0,20},{30,0,20},{30,0,20},{29,38,0},{29,38,0},{29,38,0},{29,33,1},{26,35,0},{26,35,0},{35,48,38},{35,44,20},{35,41,24},
{34,41,21},{33,49,51},{33,43,19},{33,41,2},{33,39,24},{28,43,52},{30,39,20},{36,46,18},{36,43,2},{36,41,1},{36,40,5},{57,0,51},{34,42,19},{33,41,2},{30,39,20},{117,0,51},{30,39,20},{35,44,20},{35,44,20},{35,44,20},{34,40,20},{33,45,8},{33,40,2},{33,40,2},{33,38,1},{29,41,8},{30,38,2},{36,42,0},{36,42,0},{36,42,0},{36,39,0},{55,0,8},
{34,40,0},{34,40,0},{32,38,0},{112,0,8},{32,38,0},{59,0,18},{35,44,0},{36,41,1},{32,41,0},{59,0,18},{120,0,18},{32,41,0},{0,39,20},{120,0,18},{0,39,20},{34,0,20},{34,0,20},{34,0,20},{34,0,20},{33,42,0},{33,42,0},{33,42,0},{33,37,1},{30,39,0},{30,39,0},{39,52,38},{39,48,20},{39,45,24},{38,45,21},{37,53,51},{37,47,19},{37,45,2},
{37,43,24},{32,47,52},{34,43,20},{40,50,18},{40,47,2},{40,45,1},{40,44,5},{63,0,51},{38,46,19},{37,45,2},{34,43,20},{127,1,51},{34,43,20},{39,48,20},{39,48,20},{39,48,20},{38,44,20},{37,49,8},{37,44,2},{37,44,2},{37,42,1},{33,45,8},{34,42,2},{40,46,0},{40,46,0},{40,46,0},{40,43,0},{61,0,8},{38,44,0},{38,44,0},{36,42,0},{124,0,8},
{36,42,0},{64,0,18},{39,48,0},{40,45,1},{36,45,0},{64,0,18},{126,3,18},{36,45,0},{0,43,20},{126,3,18},{0,43,20},{38,0,20},{38,0,20},{38,0,20},{38,0,20},{37,46,0},{37,46,0},{37,46,0},{37,41,1},{34,43,0},{34,43,0},{43,56,38},{43,52,20},{43,49,24},{42,49,21},{41,57,51},{41,51,19},{41,49,2},{41,47,24},{36,51,52},{38,47,20},{44,54,18},
{44,51,2},{44,49,1},{44,48,5},{69,0,51},{42,50,19},{41,49,2},{38,47,20},{127,7,51},{38,47,20},{43,52,20},{43,52,20},{43,52,20},{42,48,20},{41,53,8},{41,48,2},{41,48,2},{41,46,1},{37,49,8},{38,46,2},{44,50,0},{44,50,0},{44,50,0},{44,47,0},{66,1,8},{42,48,0},{42,48,0},{40,46,0},{126,5,8},{40,46,0},{70,0,18},{43,52,0},{44,49,1},
{40,49,0},{70,0,18},{126,9,18},{40,49,0},{0,47,20},{126,9,18},{0,47,20},{42,0,20},{42,0,20},{42,0,20},{42,0,20},{41,50,0},{41,50,0},{41,50,0},{41,45,1},{38,47,0},{38,47,0},{47,62,36},{47,57,18},{47,54,23},{47,53,20},{46,61,52},{46,55,20},{46,53,2},{45,52,23},{40,56,51},{42,52,18},{49,58,19},{48,56,1},{49,53,2},{48,53,6},{75,1,51},
{46,55,19},{46,53,1},{41,52,18},{126,14,51},{41,52,18},{47,57,18},{47,57,18},{47,57,18},{47,52,18},{46,56,9},{46,53,1},{46,53,1},{45,50,2},{42,53,8},{43,51,1},{49,53,1},{49,53,1},{49,53,1},{49,51,1},{73,0,8},{47,52,0},{47,52,0},{45,50,1},{126,12,8},{45,50,1},{77,0,18},{48,56,0},{49,53,1},{45,53,1},{77,0,18},{127,15,18},{45,53,1},
{0,52,18},{127,15,18},{0,52,18},{47,0,18},{47,0,18},{47,0,18},{47,0,18},{46,53,1},{46,53,1},{46,53,1},{45,50,1},{43,51,0},{43,51,0},{51,65,36},{51,61,18},{51,58,23},{51,57,20},{50,64,52},{50,59,20},{50,57,2},{49,56,23},{44,60,51},{46,56,18},{53,62,19},{52,60,1},{53,57,2},{52,57,6},{81,0,51},{50,59,19},{50,57,1},{45,56,18},{126,20,51},
{45,56,18},{51,61,18},{51,61,18},{51,61,18},{51,56,18},{50,60,9},{50,57,1},{50,57,1},{49,54,2},{46,57,8},{47,55,1},{53,57,1},{53,57,1},{53,57,1},{53,55,1},{79,0,8},{51,56,0},{51,56,0},{49,54,1},{127,17,8},{49,54,1},{83,0,18},{52,60,0},{53,57,1},{49,57,1},{83,0,18},{127,21,18},{49,57,1},{0,56,18},{127,21,18},{0,56,18},{51,0,18},
{51,0,18},{51,0,18},{51,0,18},{50,57,1},{50,57,1},{50,57,1},{49,54,1},{47,55,0},{47,55,0},{55,69,36},{55,64,19},{55,62,23},{55,61,20},{54,68,52},{54,63,20},{54,61,2},{53,60,23},{48,64,51},{50,60,18},{57,65,19},{56,64,2},{57,61,2},{56,61,6},{87,0,51},{54,63,19},{54,61,1},{49,60,18},{126,26,51},{49,60,18},{55,65,18},{55,65,18},{55,65,18},
{55,60,18},{54,64,9},{54,61,1},{54,61,1},{53,58,2},{50,61,8},{51,59,1},{57,61,1},{57,61,1},{57,61,1},{57,59,1},{85,0,8},{55,60,0},{55,60,0},{53,58,1},{127,23,8},{53,58,1},{89,0,18},{55,64,1},{57,61,1},{53,61,1},{89,0,18},{127,27,18},{53,61,1},{0,60,18},{127,27,18},{0,60,18},{55,0,18},{55,0,18},{55,0,18},{55,0,18},{54,61,1},
{54,61,1},{54,61,1},{53,58,1},{51,59,0},{51,59,0},{59,73,36},{59,68,19},{59,66,26},{59,64,22},{58,72,52},{57,67,19},{57,65,2},{57,63,28},{52,68,51},{53,64,21},{61,69,19},{60,67,2},{61,65,1},{60,65,5},{93,0,51},{57,67,18},{57,65,1},{52,64,20},{126,32,51},{52,64,20},{59,69,18},{59,69,18},{59,69,18},{59,64,18},{58,68,9},{58,64,2},{58,64,2},
{57,62,2},{55,64,9},{55,63,1},{61,65,1},{61,65,1},{61,65,1},{61,63,1},{91,0,8},{58,64,1},{58,64,1},{57,62,1},{127,29,8},{57,62,1},{95,0,18},{60,67,1},{61,65,0},{56,65,0},{95,0,18},{127,33,18},{56,65,0},{0,64,20},{127,33,18},{0,64,20},{59,0,18},{59,0,18},{59,0,18},{59,0,18},{58,65,1},{58,65,1},{58,65,1},{57,62,1},{55,63,0},
{55,63,0},{63,79,38},{63,73,21},{64,70,28},{63,69,22},{62,78,51},{62,71,18},{62,69,2},{61,68,26},{57,72,51},{58,68,19},{65,74,19},{64,72,1},{65,69,2},{64,69,6},{100,0,51},{62,71,18},{62,69,2},{58,68,18},{127,38,51},{58,68,18},{63,74,20},{63,74,20},{63,74,20},{63,68,21},{62,73,8},{62,69,1},{62,69,1},{62,66,1},{59,69,9},{60,66,2},{65,69,1},
{65,69,1},{65,69,1},{65,67,1},{98,0,8},{63,68,1},{63,68,1},{62,66,1},{127,36,8},{62,66,1},{101,1,18},{64,72,0},{65,69,1},{62,69,1},{101,1,18},{126,40,18},{62,69,1},{0,68,18},{126,40,18},{0,68,18},{63,0,20},{63,0,20},{63,0,20},{63,0,20},{62,70,0},{62,70,0},{62,70,0},{62,66,0},{60,66,1},{60,66,1},{67,82,36},{67,77,18},{67,74,23},
{67,73,20},{66,81,52},{66,75,20},{66,73,2},{65,72,23},{61,76,51},{62,72,19},{69,78,19},{68,76,1},{69,73,2},{68,73,6},{106,0,51},{66,75,19},{66,73,1},{62,72,18},{127,44,51},{62,72,18},{67,77,18},{67,77,18},{67,77,18},{67,72,18},{66,76,9},{66,73,1},{66,73,1},{65,70,2},{63,73,9},{63,71,2},{69,73,1},{69,73,1},{69,73,1},{69,71,1},{104,0,8},
{67,72,0},{67,72,0},{65,70,1},{127,42,8},{65,70,1},{107,1,18},{68,76,0},{69,73,1},{65,73,1},{107,1,18},{126,46,18},{65,73,1},{0,72,18},{126,46,18},{0,72,18},{67,0,18},{67,0,18},{67,0,18},{67,0,18},{66,73,1},{66,73,1},{66,73,1},{65,70,1},{63,71,1},{63,71,1},{71,86,36},{71,81,18},{71,78,23},{71,77,20},{70,85,52},{70,79,20},{70,77,2},
{69,76,23},{64,80,51},{66,76,18},{73,82,19},{72,80,1},{73,77,2},{72,77,6},{112,0,51},{70,79,19},{70,77,1},{65,76,18},{127,50,51},{65,76,18},{71,81,18},{71,81,18},{71,81,18},{71,76,18},{70,80,9},{70,77,1},{70,77,1},{69,74,2},{66,77,8},{67,75,1},{73,77,1},{73,77,1},{73,77,1},{73,75,1},{110,0,8},{71,76,0},{71,76,0},{69,74,1},{126,48,8},
{69,74,1},{113,0,18},{72,80,0},{73,77,1},{69,77,1},{113,0,18},{126,52,18},{69,77,1},{0,76,18},{126,52,18},{0,76,18},{71,0,18},{71,0,18},{71,0,18},{71,0,18},{70,77,1},{70,77,1},{70,77,1},{69,74,1},{67,75,0},{67,75,0},{75,90,36},{75,85,18},{75,82,23},{75,81,20},{74,89,52},{74,83,20},{74,81,2},{73,80,23},{68,84,51},{70,80,18},{77,86,19},
{76,84,1},{77,81,2},{76,81,6},{118,0,51},{74,83,19},{74,81,1},{69,80,18},{127,56,51},{69,80,18},{75,85,18},{75,85,18},{75,85,18},{75,80,18},{74,84,9},{74,81,1},{74,81,1},{73,78,2},{70,81,8},{71,79,1},{77,81,1},{77,81,1},{77,81,1},{77,79,1},{115,1,8},{75,80,0},{75,80,0},{73,78,1},{126,54,8},{73,78,1},{119,0,18},{76,84,0},{77,81,1},
{73,81,1},{119,0,18},{126,58,18},{73,81,1},{0,80,18},{126,58,18},{0,80,18},{75,0,18},{75,0,18},{75,0,18},{75,0,18},{74,81,1},{74,81,1},{74,81,1},{73,78,1},{71,79,0},{71,79,0},{80,93,38},{80,89,20},{80,86,24},{79,86,21},{78,94,51},{78,88,19},{78,86,2},{78,84,24},{73,88,52},{75,84,20},{81,91,18},{81,88,2},{81,86,1},{81,85,5},{124,1,51},
{79,87,19},{78,86,2},{75,84,20},{126,63,51},{75,84,20},{80,89,20},{80,89,20},{80,89,20},{79,85,20},{78,90,8},{78,85,2},{78,85,2},{78,83,1},{74,86,8},{75,83,2},{81,87,0},{81,87,0},{81,87,0},{81,84,0},{122,0,8},{79,85,0},{79,85,0},{77,83,0},{126,61,8},{77,83,0},{126,0,18},{80,89,0},{81,86,1},{77,86,0},{126,0,18},{126,64,18},{77,86,0},
{0,84,20},{126,64,18},{0,84,20},{79,0,20},{79,0,20},{79,0,20},{79,0,20},{78,87,0},{78,87,0},{78,87,0},{78,82,1},{75,84,0},{75,84,0},{84,97,38},{84,93,20},{84,90,24},{83,90,21},{82,98,51},{82,92,19},{82,90,2},{82,88,24},{77,92,52},{79,88,20},{85,95,18},{85,92,2},{85,90,1},{85,89,5},{127,7,51},{83,91,19},{82,90,2},{79,88,20},{127,68,51},
{79,88,20},{84,93,20},{84,93,20},{84,93,20},{83,89,20},{82,94,8},{82,89,2},{82,89,2},{82,87,1},{78,90,8},{79,87,2},{85,91,0},{85,91,0},{85,91,0},{85,88,0},{127,2,8},{83,89,0},{83,89,0},{81,87,0},{127,66,8},{81,87,0},{127,10,18},{84,93,0},{85,90,1},{81,90,0},{127,10,18},{126,70,18},{81,90,0},{0,88,20},{126,70,18},{0,88,20},{83,0,20},
{83,0,20},{83,0,20},{83,0,20},{82,91,0},{82,91,0},{82,91,0},{82,86,1},{79,88,0},{79,88,0},{88,101,38},{88,97,20},{88,94,24},{87,94,21},{86,102,51},{86,96,19},{86,94,2},{86,92,24},{81,96,52},{83,92,20},{89,99,18},{89,96,2},{89,94,1},{89,93,5},{127,19,51},{87,95,19},{86,94,2},{83,92,20},{127,74,51},{83,92,20},{88,97,20},{88,97,20},{88,97,20},
{87,93,20},{86,98,8},{86,93,2},{86,93,2},{86,91,1},{82,94,8},{83,91,2},{89,95,0},{89,95,0},{89,95,0},{89,92,0},{127,14,8},{87,93,0},{87,93,0},{85,91,0},{127,72,8},{85,91,0},{127,22,18},{88,97,0},{89,94,1},{85,94,0},{127,22,18},{126,76,18},{85,94,0},{0,92,20},{126,76,18},{0,92,20},{87,0,20},{87,0,20},{87,0,20},{87,0,20},{86,95,0},
{86,95,0},{86,95,0},{86,90,1},{83,92,0},{83,92,0},{92,105,38},{92,101,20},{92,98,24},{91,98,21},{90,106,51},{90,100,19},{90,98,2},{90,96,24},{85,100,52},{87,96,20},{93,103,18},{93,100,2},{93,98,1},{93,97,5},{127,31,51},{91,99,19},{90,98,2},{87,96,20},{127,80,51},{87,96,20},{92,101,20},{92,101,20},{92,101,20},{91,97,20},{90,102,8},{90,97,2},{90,97,2},
{90,95,1},{86,98,8},{87,95,2},{93,99,0},{93,99,0},{93,99,0},{93,96,0},{127,27,8},{91,97,0},{91,97,0},{89,95,0},{126,78,8},{89,95,0},{127,34,18},{92,101,0},{93,98,1},{89,98,0},{127,34,18},{126,82,18},{89,98,0},{0,96,20},{126,82,18},{0,96,20},{91,0,20},{91,0,20},{91,0,20},{91,0,20},{90,99,0},{90,99,0},{90,99,0},{90,94,1},{87,96,0},
{87,96,0},{96,111,36},{96,106,18},{96,103,23},{96,102,20},{95,110,52},{95,104,20},{95,102,2},{94,101,23},{89,105,51},{91,101,18},{98,107,19},{97,105,1},{98,102,2},{97,102,6},{127,45,51},{95,104,19},{95,102,1},{90,101,18},{126,87,51},{90,101,18},{96,106,18},{96,106,18},{96,106,18},{96,101,18},{95,105,9},{95,102,1},{95,102,1},{94,99,2},{91,102,8},{92,100,1},{98,102,1},
{98,102,1},{98,102,1},{98,100,1},{127,40,8},{96,101,0},{96,101,0},{94,99,1},{126,85,8},{94,99,1},{127,48,18},{97,105,0},{98,102,1},{94,102,1},{127,48,18},{127,88,18},{94,102,1},{0,101,18},{127,88,18},{0,101,18},{96,0,18},{96,0,18},{96,0,18},{96,0,18},{95,102,1},{95,102,1},{95,102,1},{94,99,1},{92,100,0},{92,100,0},{100,115,36},{100,110,18},{100,107,23},
{100,106,20},{99,114,52},{99,108,20},{99,106,2},{98,105,23},{93,109,51},{95,105,18},{102,111,19},{101,109,1},{102,106,2},{101,106,6},{127,57,51},{99,108,19},{99,106,1},{94,105,18},{126,93,51},{94,105,18},{100,110,18},{100,110,18},{100,110,18},{100,105,18},{99,109,9},{99,106,1},{99,106,1},{98,103,2},{95,106,8},{96,104,1},{102,106,1},{102,106,1},{102,106,1},{102,104,1},{127,53,8},
{100,105,0},{100,105,0},{98,103,1},{126,91,8},{98,103,1},{127,60,18},{101,109,0},{102,106,1},{98,106,1},{127,60,18},{127,94,18},{98,106,1},{0,105,18},{127,94,18},{0,105,18},{100,0,18},{100,0,18},{100,0,18},{100,0,18},{99,106,1},{99,106,1},{99,106,1},{98,103,1},{96,104,0},{96,104,0},{104,119,36},{104,114,18},{104,111,23},{104,110,20},{103,118,52},{103,112,20},{103,110,2},
{102,109,23},{97,113,51},{99,109,18},{106,115,19},{105,113,1},{106,110,2},{105,110,6},{127,69,51},{103,112,19},{103,110,1},{98,109,18},{126,99,51},{98,109,18},{104,114,18},{104,114,18},{104,114,18},{104,109,18},{103,113,9},{103,110,1},{103,110,1},{102,107,2},{99,110,8},{100,108,1},{106,110,1},{106,110,1},{106,110,1},{106,108,1},{127,64,8},{104,109,0},{104,109,0},{102,107,1},{126,97,8},
{102,107,1},{127,72,18},{105,113,0},{106,110,1},{102,110,1},{127,72,18},{127,100,18},{102,110,1},{0,109,18},{127,100,18},{0,109,18},{104,0,18},{104,0,18},{104,0,18},{104,0,18},{103,110,1},{103,110,1},{103,110,1},{102,107,1},{100,108,0},{100,108,0},{108,123,36},{108,118,18},{108,115,23},{108,114,20},{107,122,52},{107,116,20},{107,114,2},{106,113,23},{101,117,51},{103,113,18},{110,119,19},
{109,117,1},{110,114,2},{109,114,6},{127,81,51},{107,116,19},{107,114,1},{102,113,18},{126,105,51},{102,113,18},{108,118,18},{108,118,18},{108,118,18},{108,113,18},{107,117,9},{107,114,1},{107,114,1},{106,111,2},{103,114,8},{104,112,1},{110,114,1},{110,114,1},{110,114,1},{110,112,1},{127,76,8},{108,113,0},{108,113,0},{106,111,1},{126,103,8},{106,111,1},{127,84,18},{109,117,0},{110,114,1},
{106,114,1},{127,84,18},{127,106,18},{106,114,1},{0,113,18},{127,106,18},{0,113,18},{108,0,18},{108,0,18},{108,0,18},{108,0,18},{107,114,1},{107,114,1},{107,114,1},{106,111,1},{104,112,0},{104,112,0},{113,126,38},{113,122,20},{113,119,24},{112,119,21},{111,127,51},{111,121,19},{111,119,2},{111,117,24},{106,121,52},{108,117,20},{114,124,18},{114,121,2},{114,119,1},{114,118,5},{127,95,51},
{112,120,19},{111,119,2},{108,117,20},{127,111,51},{108,117,20},{113,122,20},{113,122,20},{113,122,20},{112,118,20},{111,123,8},{111,118,2},{111,118,2},{111,116,1},{107,119,8},{108,116,2},{114,120,0},{114,120,0},{114,120,0},{114,117,0},{127,90,8},{112,118,0},{112,118,0},{110,116,0},{127,109,8},{110,116,0},{127,98,18},{113,122,0},{114,119,1},{110,119,0},{127,98,18},{126,113,18},{110,119,0},
{0,117,20},{126,113,18},{0,117,20},{112,0,20},{112,0,20},{112,0,20},{112,0,20},{111,120,0},{111,120,0},{111,120,0},{111,115,1},{108,117,0},{108,117,0},{117,127,46},{117,126,20},{117,123,24},{116,123,21},{116,126,63},{115,125,19},{115,123,2},{115,121,24},{110,125,52},{112,121,20},{118,127,20},{118,125,2},{118,123,1},{118,122,5},{127,107,51},{116,124,19},{115,123,2},{112,121,20},{127,117,51},
{112,121,20},{117,126,20},{117,126,20},{117,126,20},{116,122,20},{115,127,8},{115,122,2},{115,122,2},{115,120,1},{111,123,8},{112,120,2},{118,124,0},{118,124,0},{118,124,0},{118,121,0},{127,102,8},{116,122,0},{116,122,0},{114,120,0},{127,115,8},{114,120,0},{127,110,18},{117,126,0},{118,123,1},{114,123,0},{127,110,18},{126,119,18},{114,123,0},{0,121,20},{126,119,18},{0,121,20},{116,0,20},
{116,0,20},{116,0,20},{116,0,20},{115,124,0},{115,124,0},{115,124,0},{115,119,1},{112,121,0},{112,121,0},{122,126,86},{121,127,40},{121,127,24},{120,127,21},{121,127,88},{119,127,27},{119,127,2},{119,125,24},{116,127,60},{116,125,20},{123,127,30},{122,127,10},{122,127,1},{122,126,5},{127,119,51},{121,127,24},{119,127,2},{116,125,20},{127,123,51},{116,125,20},{121,127,24},{121,127,24},{121,127,24},
{120,126,20},{120,127,14},{119,126,2},{119,126,2},{119,124,1},{115,127,8},{116,124,2},{122,126,1},{122,126,1},{122,126,1},{122,125,0},{127,115,8},{120,126,0},{120,126,0},{118,124,0},{127,121,8},{118,124,0},{127,122,18},{124,127,8},{122,127,1},{118,127,0},{127,122,18},{126,125,18},{118,127,0},{0,125,20},{126,125,18},{0,125,20},{120,0,20},{120,0,20},{120,0,20},{120,0,20},{119,126,1},
{119,126,1},{119,126,1},{119,123,1},{116,125,0},{116,125,0},{125,126,38},{125,127,30},{125,127,29},{125,127,21},{125,126,35},{124,127,16},{124,127,12},{123,127,1},{122,127,20},{122,127,2},{126,127,2},{126,127,2},{126,127,1},{126,127,1},{127,125,3},{127,126,3},{125,127,2},{124,127,0},{127,126,3},{124,127,0},{125,126,29},{125,126,29},{125,126,29},{125,127,21},{124,127,24},{124,127,12},{124,127,12},
{123,127,1},{122,127,11},{122,127,2},{126,127,1},{126,127,1},{126,127,1},{126,127,1},{127,125,2},{127,126,2},{127,126,2},{124,127,0},{127,126,2},{124,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{124,0,20},{124,0,20},{124,0,20},{124,0,20},{124,127,8},{124,127,8},{124,127,8},{123,127,1},{122,127,2},
{122,127,2},{0,16,72},{0,11,8},{0,8,1},{0,7,25},{0,10,153},{0,8,97},{0,6,50},{0,4,115},{0,5,162},{0,4,124},{0,16,72},{0,11,8},{0,8,1},{0,7,25},{5,0,153},{0,8,97},{0,6,50},{0,4,115},{10,0,153},{0,4,115},{0,7,0},{0,7,0},{0,7,0},{0,4,0},{0,3,13},{0,2,5},{0,2,5},{0,1,10},{0,2,14},{0,1,11},{0,7,0},
{0,7,0},{0,7,0},{0,4,0},{2,0,13},{0,2,5},{0,2,5},{0,1,10},{3,0,13},{0,1,10},{8,0,72},{0,11,8},{0,8,1},{0,7,25},{8,0,72},{16,0,72},{0,7,25},{0,5,74},{16,0,72},{0,5,74},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,27,77},{1,18,5},{1,13,15},
{1,11,18},{0,21,243},{0,14,108},{0,11,29},{0,8,154},{0,9,287},{0,8,179},{2,25,73},{1,18,1},{2,12,6},{1,11,14},{10,1,243},{0,14,108},{0,11,29},{0,8,154},{21,0,243},{0,8,154},{1,17,5},{1,17,5},{1,17,5},{1,9,5},{0,12,50},{0,8,8},{0,8,8},{0,5,25},{0,5,61},{0,5,34},{2,15,1},{2,15,1},{2,15,1},{1,9,1},{6,0,50},
{0,8,8},{0,8,8},{0,5,25},{12,0,50},{0,5,25},{14,0,72},{1,18,0},{4,12,1},{0,12,10},{14,0,72},{29,0,72},{0,12,10},{0,9,74},{29,0,72},{0,9,74},{1,0,5},{1,0,5},{1,0,5},{1,0,5},{0,4,0},{0,4,0},{0,4,0},{0,2,0},{0,2,1},{0,2,1},{3,35,133},{3,24,63},{4,17,90},{3,16,66},{0,33,243},{0,19,75},{0,16,2},
{0,13,110},{0,14,345},{0,12,179},{6,29,73},{5,22,1},{6,16,6},{5,15,14},{16,0,243},{0,19,75},{0,16,2},{0,13,110},{33,0,243},{0,13,110},{3,26,61},{3,26,61},{3,26,61},{3,14,61},{0,24,50},{0,16,1},{0,16,1},{0,10,5},{0,11,101},{0,9,46},{6,19,1},{6,19,1},{6,19,1},{5,13,1},{12,0,50},{1,15,0},{1,15,0},{0,10,5},{24,0,50},
{0,10,5},{20,0,72},{5,22,0},{8,16,1},{0,16,2},{20,0,72},{41,0,72},{0,16,2},{0,13,74},{41,0,72},{0,13,74},{3,0,61},{3,0,61},{3,0,61},{3,0,61},{0,16,0},{0,16,0},{0,16,0},{0,8,0},{0,5,25},{0,5,25},{7,39,146},{7,28,76},{8,21,107},{6,20,79},{4,37,244},{4,23,76},{4,20,3},{3,16,107},{0,22,292},{0,17,106},{10,33,73},
{9,26,1},{10,20,6},{9,19,14},{22,0,243},{2,25,72},{4,20,2},{0,17,90},{45,0,243},{0,17,90},{7,30,74},{7,30,74},{7,30,74},{7,18,74},{4,28,51},{4,20,2},{4,20,2},{3,14,6},{0,17,68},{0,14,5},{10,23,1},{10,23,1},{10,23,1},{9,17,1},{18,0,50},{5,19,0},{5,19,0},{0,14,1},{36,0,50},{0,14,1},{26,0,72},{9,26,0},{12,20,1},
{3,20,1},{26,0,72},{53,0,72},{3,20,1},{0,17,74},{53,0,72},{0,17,74},{6,0,74},{6,0,74},{6,0,74},{6,0,74},{4,20,1},{4,20,1},{4,20,1},{4,12,1},{0,14,4},{0,14,4},{11,44,144},{11,32,76},{12,25,105},{11,24,77},{8,43,243},{8,28,75},{8,25,2},{8,21,105},{0,28,248},{1,22,76},{14,38,72},{14,30,1},{15,25,5},{14,24,13},{29,0,243},
{7,29,72},{8,25,2},{0,22,76},{59,0,243},{0,22,76},{11,35,72},{11,35,72},{11,35,72},{11,23,72},{8,34,50},{8,24,1},{8,24,1},{8,18,5},{1,24,51},{3,19,1},{14,29,0},{14,29,0},{14,29,0},{14,21,1},{24,1,50},{9,24,0},{9,24,0},{3,19,0},{50,0,50},{3,19,0},{33,0,72},{13,31,0},{16,25,0},{6,25,0},{33,0,72},{66,0,72},{6,25,0},
{0,22,72},{66,0,72},{0,22,72},{11,0,72},{11,0,72},{11,0,72},{11,0,72},{8,26,0},{8,26,0},{8,26,0},{8,17,0},{2,20,0},{2,20,0},{15,48,144},{15,36,76},{16,29,105},{15,28,77},{12,47,243},{12,32,75},{12,29,2},{12,25,105},{2,33,244},{5,26,76},{18,42,72},{18,34,1},{19,29,5},{18,28,13},{35,0,243},{11,33,72},{12,29,2},{1,26,72},{71,0,243},
{1,26,72},{15,39,72},{15,39,72},{15,39,72},{15,27,72},{12,38,50},{12,28,1},{12,28,1},{12,22,5},{5,28,51},{7,23,1},{18,33,0},{18,33,0},{18,33,0},{18,25,1},{30,1,50},{13,28,0},{13,28,0},{7,23,0},{62,0,50},{7,23,0},{39,0,72},{17,35,0},{20,29,0},{10,29,0},{39,0,72},{78,0,72},{10,29,0},{0,26,72},{78,0,72},{0,26,72},{15,0,72},
{15,0,72},{15,0,72},{15,0,72},{12,30,0},{12,30,0},{12,30,0},{12,21,0},{6,24,0},{6,24,0},{19,52,144},{19,40,76},{20,33,105},{19,32,77},{16,51,243},{16,36,75},{16,33,2},{16,29,105},{6,37,244},{9,30,76},{22,46,72},{22,38,1},{23,33,5},{22,32,13},{41,0,243},{15,37,72},{16,33,2},{5,30,72},{83,0,243},{5,30,72},{19,43,72},{19,43,72},{19,43,72},
{19,31,72},{16,42,50},{16,32,1},{16,32,1},{16,26,5},{9,32,51},{11,27,1},{22,37,0},{22,37,0},{22,37,0},{22,29,1},{36,1,50},{17,32,0},{17,32,0},{11,27,0},{74,0,50},{11,27,0},{45,0,72},{21,39,0},{24,33,0},{14,33,0},{45,0,72},{91,0,72},{14,33,0},{0,30,72},{91,0,72},{0,30,72},{19,0,72},{19,0,72},{19,0,72},{19,0,72},{16,34,0},
{16,34,0},{16,34,0},{16,25,0},{10,28,0},{10,28,0},{23,56,144},{23,44,76},{24,37,105},{23,36,77},{20,55,243},{20,40,75},{20,37,2},{20,33,105},{10,41,244},{13,34,76},{26,50,72},{26,42,1},{27,37,5},{26,36,13},{47,0,243},{19,41,72},{20,37,2},{9,34,72},{95,0,243},{9,34,72},{23,47,72},{23,47,72},{23,47,72},{23,35,72},{20,46,50},{20,36,1},{20,36,1},
{20,30,5},{13,36,51},{15,31,1},{26,41,0},{26,41,0},{26,41,0},{26,33,1},{42,1,50},{21,36,0},{21,36,0},{15,31,0},{86,0,50},{15,31,0},{50,1,72},{25,43,0},{28,37,0},{18,37,0},{50,1,72},{103,0,72},{18,37,0},{0,34,72},{103,0,72},{0,34,72},{23,0,72},{23,0,72},{23,0,72},{23,0,72},{20,38,0},{20,38,0},{20,38,0},{20,29,0},{14,32,0},
{14,32,0},{28,60,146},{28,49,76},{29,42,107},{27,41,79},{25,58,244},{25,44,76},{25,41,3},{24,37,107},{14,46,244},{17,38,76},{31,54,73},{30,47,1},{31,41,6},{30,40,14},{53,1,243},{23,46,72},{25,41,2},{15,38,74},{109,0,243},{15,38,74},{28,51,74},{28,51,74},{28,51,74},{28,39,74},{25,49,51},{25,41,2},{25,41,2},{24,35,6},{18,40,51},{19,36,1},{31,44,1},
{31,44,1},{31,44,1},{30,38,1},{49,0,50},{26,40,0},{26,40,0},{21,35,1},{100,0,50},{21,35,1},{57,0,72},{30,47,0},{33,41,1},{24,41,1},{57,0,72},{117,0,72},{24,41,1},{0,38,74},{117,0,72},{0,38,74},{27,0,74},{27,0,74},{27,0,74},{27,0,74},{25,41,1},{25,41,1},{25,41,1},{25,33,1},{19,36,0},{19,36,0},{32,64,146},{32,53,76},{33,46,107},
{31,45,79},{29,62,244},{29,48,76},{29,45,3},{28,41,107},{18,50,244},{21,42,76},{35,58,73},{34,51,1},{35,45,6},{34,44,14},{59,1,243},{27,50,72},{29,45,2},{19,42,74},{121,0,243},{19,42,74},{32,55,74},{32,55,74},{32,55,74},{32,43,74},{29,53,51},{29,45,2},{29,45,2},{28,39,6},{22,44,51},{23,40,1},{35,48,1},{35,48,1},{35,48,1},{34,42,1},{55,0,50},
{30,44,0},{30,44,0},{25,39,1},{112,0,50},{25,39,1},{63,0,72},{34,51,0},{37,45,1},{28,45,1},{63,0,72},{127,1,72},{28,45,1},{0,42,74},{127,1,72},{0,42,74},{31,0,74},{31,0,74},{31,0,74},{31,0,74},{29,45,1},{29,45,1},{29,45,1},{29,37,1},{23,40,0},{23,40,0},{36,67,146},{36,57,76},{37,50,107},{35,49,79},{33,66,244},{33,52,76},{33,49,3},
{32,45,107},{22,54,244},{25,46,76},{39,62,73},{38,55,1},{39,49,6},{38,48,14},{65,0,243},{31,54,72},{33,49,2},{23,46,74},{127,3,243},{23,46,74},{36,59,74},{36,59,74},{36,59,74},{36,47,74},{33,57,51},{33,49,2},{33,49,2},{32,43,6},{26,48,51},{27,44,1},{39,52,1},{39,52,1},{39,52,1},{38,46,1},{61,0,50},{34,48,0},{34,48,0},{29,43,1},{124,0,50},
{29,43,1},{69,0,72},{38,55,0},{41,49,1},{32,49,1},{69,0,72},{127,7,72},{32,49,1},{0,46,74},{127,7,72},{0,46,74},{35,0,74},{35,0,74},{35,0,74},{35,0,74},{33,49,1},{33,49,1},{33,49,1},{33,41,1},{27,44,0},{27,44,0},{40,71,146},{40,61,76},{41,54,107},{39,53,79},{37,70,244},{37,56,76},{37,53,3},{36,49,107},{26,58,244},{29,50,76},{43,65,73},
{42,59,1},{43,53,6},{42,52,14},{71,0,243},{35,58,72},{37,53,2},{27,50,74},{127,9,243},{27,50,74},{40,63,74},{40,63,74},{40,63,74},{40,51,74},{37,61,51},{37,53,2},{37,53,2},{36,47,6},{30,52,51},{31,48,1},{43,56,1},{43,56,1},{43,56,1},{42,50,1},{66,1,50},{38,52,0},{38,52,0},{33,47,1},{126,5,50},{33,47,1},{75,0,72},{42,59,0},{45,53,1},
{36,53,1},{75,0,72},{127,13,72},{36,53,1},{0,50,74},{127,13,72},{0,50,74},{39,0,74},{39,0,74},{39,0,74},{39,0,74},{37,53,1},{37,53,1},{37,53,1},{37,45,1},{31,48,0},{31,48,0},{44,77,144},{44,65,77},{45,58,105},{44,57,77},{41,75,243},{41,61,75},{41,58,2},{41,54,105},{31,62,244},{34,55,76},{47,71,72},{47,63,1},{48,58,5},{47,57,13},{78,0,243},
{40,62,72},{41,58,2},{30,55,72},{126,16,243},{30,55,72},{44,68,72},{44,68,72},{44,68,72},{44,56,72},{41,66,50},{41,57,1},{41,57,1},{41,51,5},{34,57,51},{36,52,1},{47,62,0},{47,62,0},{47,62,0},{47,54,1},{73,0,50},{42,57,0},{42,57,0},{36,52,0},{126,12,50},{36,52,0},{81,0,72},{47,63,1},{49,58,0},{39,58,0},{81,0,72},{126,20,72},{39,58,0},
{0,55,72},{126,20,72},{0,55,72},{44,0,72},{44,0,72},{44,0,72},{44,0,72},{41,59,0},{41,59,0},{41,59,0},{41,50,0},{35,53,0},{35,53,0},{48,81,144},{48,69,77},{49,62,105},{48,61,77},{45,79,243},{45,65,73},{45,62,2},{45,58,105},{34,67,243},{38,59,76},{51,75,72},{51,66,1},{52,62,5},{51,61,13},{83,1,243},{45,65,73},{45,62,2},{34,59,72},{126,22,243},
{34,59,72},{48,72,72},{48,72,72},{48,72,72},{48,60,72},{45,70,50},{45,61,1},{45,61,1},{45,55,5},{38,61,51},{40,56,1},{51,65,0},{51,65,0},{51,65,0},{51,58,1},{79,0,50},{46,61,0},{46,61,0},{40,56,0},{127,17,50},{40,56,0},{87,0,72},{51,66,1},{53,62,0},{43,62,0},{87,0,72},{126,26,72},{43,62,0},{0,59,72},{126,26,72},{0,59,72},{48,0,72},
{48,0,72},{48,0,72},{48,0,72},{45,63,0},{45,63,0},{45,63,0},{45,54,0},{39,57,0},{39,57,0},{52,85,144},{52,73,77},{53,67,105},{52,65,77},{49,83,243},{49,69,73},{49,65,2},{49,62,105},{38,71,243},{42,63,76},{55,79,72},{55,70,1},{55,66,5},{54,65,14},{89,1,243},{49,69,73},{49,65,2},{38,63,72},{126,28,243},{38,63,72},{52,76,72},{52,76,72},{52,76,72},
{52,63,73},{49,74,50},{49,65,1},{49,65,1},{49,59,5},{41,65,50},{44,60,1},{55,69,0},{55,69,0},{55,69,0},{55,62,1},{85,0,50},{50,64,1},{50,64,1},{44,60,0},{127,23,50},{44,60,0},{93,0,72},{55,70,1},{57,65,1},{48,65,1},{93,0,72},{126,32,72},{48,65,1},{0,63,72},{126,32,72},{0,63,72},{52,0,72},{52,0,72},{52,0,72},{52,0,72},{49,67,0},
{49,67,0},{49,67,0},{49,58,0},{43,61,0},{43,61,0},{56,89,144},{56,77,77},{57,71,105},{56,69,77},{53,87,243},{53,73,73},{53,69,2},{52,66,103},{42,75,243},{45,66,79},{59,83,72},{59,74,1},{59,70,5},{58,69,14},{95,1,243},{53,73,73},{53,69,2},{43,66,74},{126,34,243},{43,66,74},{56,80,72},{56,80,72},{56,80,72},{56,67,73},{53,78,50},{53,69,1},{53,69,1},
{53,63,5},{45,69,50},{47,64,2},{59,73,0},{59,73,0},{59,73,0},{59,66,0},{91,0,50},{55,67,1},{55,67,1},{47,64,1},{127,29,50},{47,64,1},{99,0,72},{59,74,1},{61,69,1},{52,69,1},{99,0,72},{126,38,72},{52,69,1},{0,66,74},{126,38,72},{0,66,74},{56,0,72},{56,0,72},{56,0,72},{56,0,72},{53,71,0},{53,71,0},{53,71,0},{53,62,0},{47,64,1},
{47,64,1},{61,92,146},{61,80,79},{61,75,103},{60,74,78},{58,91,244},{57,78,74},{58,74,2},{56,70,105},{47,79,243},{49,71,77},{63,88,73},{63,79,2},{64,74,5},{63,73,14},{102,0,243},{57,78,73},{58,74,1},{47,71,72},{126,41,243},{47,71,72},{61,83,74},{61,83,74},{61,83,74},{60,72,74},{58,82,51},{58,73,2},{58,73,2},{57,68,5},{50,73,50},{52,68,1},{63,79,1},
{63,79,1},{63,79,1},{63,71,1},{98,0,50},{59,72,1},{59,72,1},{53,68,0},{127,36,50},{53,68,0},{106,0,72},{63,79,1},{65,74,0},{56,74,0},{106,0,72},{127,44,72},{56,74,0},{0,71,72},{127,44,72},{0,71,72},{60,0,74},{60,0,74},{60,0,74},{60,0,74},{58,74,1},{58,74,1},{58,74,1},{57,66,1},{52,68,1},{52,68,1},{64,97,144},{64,85,76},{65,78,105},
{64,77,77},{62,95,244},{61,82,74},{62,78,2},{60,74,105},{51,83,243},{53,75,77},{67,91,72},{67,83,1},{68,78,5},{67,77,13},{108,0,243},{61,82,73},{62,78,1},{51,75,72},{125,47,243},{51,75,72},{64,88,72},{64,88,72},{64,88,72},{64,76,72},{62,86,51},{62,77,2},{62,77,2},{61,72,5},{54,77,50},{56,72,1},{67,82,0},{67,82,0},{67,82,0},{67,74,1},{104,0,50},
{63,76,1},{63,76,1},{57,72,0},{127,42,50},{57,72,0},{112,0,72},{66,84,0},{69,78,0},{60,78,0},{112,0,72},{127,50,72},{60,78,0},{0,75,72},{127,50,72},{0,75,72},{64,0,72},{64,0,72},{64,0,72},{64,0,72},{62,78,1},{62,78,1},{62,78,1},{61,70,1},{56,72,1},{56,72,1},{68,101,144},{68,89,76},{69,82,105},{68,81,77},{65,100,243},{65,85,75},{65,82,2},
{65,78,105},{55,87,243},{57,79,77},{71,95,72},{71,87,1},{72,82,5},{71,81,13},{114,0,243},{64,86,72},{65,82,2},{55,79,72},{127,52,243},{55,79,72},{68,92,72},{68,92,72},{68,92,72},{68,80,72},{65,91,50},{65,81,1},{65,81,1},{65,75,5},{58,81,50},{60,76,1},{71,86,0},{71,86,0},{71,86,0},{71,78,1},{110,0,50},{66,81,0},{66,81,0},{61,76,0},{126,48,50},
{61,76,0},{118,0,72},{70,88,0},{73,82,0},{64,82,0},{118,0,72},{127,56,72},{64,82,0},{0,79,72},{127,56,72},{0,79,72},{68,0,72},{68,0,72},{68,0,72},{68,0,72},{65,83,0},{65,83,0},{65,83,0},{65,74,0},{60,76,1},{60,76,1},{72,105,144},{72,93,76},{73,86,105},{72,85,77},{69,104,243},{69,89,75},{69,86,2},{69,82,105},{59,91,243},{61,83,77},{75,99,72},
{75,91,1},{76,86,5},{75,85,13},{120,0,243},{68,90,72},{69,86,2},{59,83,72},{127,58,243},{59,83,72},{72,96,72},{72,96,72},{72,96,72},{72,84,72},{69,95,50},{69,85,1},{69,85,1},{69,79,5},{62,85,50},{64,80,1},{75,90,0},{75,90,0},{75,90,0},{75,82,1},{115,1,50},{70,85,0},{70,85,0},{64,80,0},{126,54,50},{64,80,0},{124,0,72},{74,92,0},{77,86,0},
{67,86,0},{124,0,72},{127,62,72},{67,86,0},{0,83,72},{127,62,72},{0,83,72},{72,0,72},{72,0,72},{72,0,72},{72,0,72},{69,87,0},{69,87,0},{69,87,0},{69,78,0},{64,80,1},{64,80,1},{77,109,146},{77,98,76},{78,91,107},{76,90,79},{74,107,244},{74,93,76},{74,90,3},{73,86,107},{63,96,243},{66,87,76},{80,103,73},{79,96,1},{80,90,6},{79,89,14},{127,0,243},
{72,95,72},{74,90,2},{64,87,74},{126,65,243},{64,87,74},{77,100,74},{77,100,74},{77,100,74},{77,88,74},{74,98,51},{74,90,2},{74,90,2},{73,84,6},{67,89,51},{68,85,1},{80,93,1},{80,93,1},{80,93,1},{79,87,1},{122,0,50},{75,89,0},{75,89,0},{70,84,1},{126,61,50},{70,84,1},{127,7,72},{79,96,0},{82,90,1},{73,90,1},{127,7,72},{127,68,72},{73,90,1},
{0,87,74},{127,68,72},{0,87,74},{76,0,74},{76,0,74},{76,0,74},{76,0,74},{74,90,1},{74,90,1},{74,90,1},{74,82,1},{68,85,0},{68,85,0},{81,113,146},{81,102,76},{82,95,107},{80,94,79},{78,111,244},{78,97,76},{78,94,3},{77,90,107},{67,99,244},{70,91,76},{84,107,73},{83,100,1},{84,94,6},{83,93,14},{127,11,243},{76,99,72},{78,94,2},{68,91,74},{126,71,243},
{68,91,74},{81,104,74},{81,104,74},{81,104,74},{81,92,74},{78,102,51},{78,94,2},{78,94,2},{77,88,6},{71,93,51},{72,89,1},{84,97,1},{84,97,1},{84,97,1},{83,91,1},{127,2,50},{79,93,0},{79,93,0},{74,88,1},{127,66,50},{74,88,1},{127,19,72},{83,100,0},{86,94,1},{77,94,1},{127,19,72},{127,74,72},{77,94,1},{0,91,74},{127,74,72},{0,91,74},{80,0,74},
{80,0,74},{80,0,74},{80,0,74},{78,94,1},{78,94,1},{78,94,1},{78,86,1},{72,89,0},{72,89,0},{85,117,146},{85,106,76},{86,99,107},{84,98,79},{82,115,244},{82,101,76},{82,98,3},{81,94,107},{71,103,244},{74,95,76},{88,111,73},{87,104,1},{88,98,6},{87,97,14},{127,24,243},{80,103,72},{82,98,2},{72,95,74},{125,77,243},{72,95,74},{85,108,74},{85,108,74},{85,108,74},
{85,96,74},{82,106,51},{82,98,2},{82,98,2},{81,92,6},{75,97,51},{76,93,1},{88,101,1},{88,101,1},{88,101,1},{87,95,1},{127,14,50},{83,97,0},{83,97,0},{78,92,1},{127,72,50},{78,92,1},{127,31,72},{87,104,0},{90,98,1},{81,98,1},{127,31,72},{127,80,72},{81,98,1},{0,95,74},{127,80,72},{0,95,74},{84,0,74},{84,0,74},{84,0,74},{84,0,74},{82,98,1},
{82,98,1},{82,98,1},{82,90,1},{76,93,0},{76,93,0},{89,121,146},{89,110,76},{90,103,107},{88,102,79},{86,119,244},{86,105,76},{86,102,3},{85,98,107},{75,107,244},{78,99,76},{92,115,73},{91,108,1},{92,102,6},{91,101,14},{127,36,243},{84,107,72},{86,102,2},{76,99,74},{127,82,243},{76,99,74},{89,112,74},{89,112,74},{89,112,74},{89,100,74},{86,110,51},{86,102,2},{86,102,2},
{85,96,6},{79,101,51},{80,97,1},{92,105,1},{92,105,1},{92,105,1},{91,99,1},{127,27,50},{87,101,0},{87,101,0},{82,96,1},{126,78,50},{82,96,1},{127,43,72},{91,108,0},{94,102,1},{85,102,1},{127,43,72},{127,86,72},{85,102,1},{0,99,74},{127,86,72},{0,99,74},{88,0,74},{88,0,74},{88,0,74},{88,0,74},{86,102,1},{86,102,1},{86,102,1},{86,94,1},{80,97,0},
{80,97,0},{93,126,144},{93,114,76},{94,107,105},{93,106,77},{90,125,243},{90,110,75},{90,107,2},{90,103,105},{80,111,244},{83,104,76},{96,120,72},{96,112,1},{97,107,5},{96,106,13},{127,50,243},{89,111,72},{90,107,2},{79,104,72},{127,89,243},{79,104,72},{93,117,72},{93,117,72},{93,117,72},{93,105,72},{90,116,50},{90,106,1},{90,106,1},{90,100,5},{83,106,51},{85,101,1},{96,111,0},
{96,111,0},{96,111,0},{96,103,1},{127,40,50},{91,106,0},{91,106,0},{85,101,0},{126,85,50},{85,101,0},{127,57,72},{95,113,0},{98,107,0},{88,107,0},{127,57,72},{126,93,72},{88,107,0},{0,104,72},{126,93,72},{0,104,72},{93,0,72},{93,0,72},{93,0,72},{93,0,72},{90,108,0},{90,108,0},{90,108,0},{90,99,0},{84,102,0},{84,102,0},{97,127,152},{97,118,76},{98,111,105},
{97,110,77},{94,127,244},{94,114,75},{94,111,2},{94,107,105},{84,115,244},{87,108,76},{100,124,72},{100,116,1},{101,111,5},{100,110,13},{127,62,243},{93,115,72},{94,111,2},{83,108,72},{127,95,243},{83,108,72},{97,121,72},{97,121,72},{97,121,72},{97,109,72},{94,120,50},{94,110,1},{94,110,1},{94,104,5},{87,110,51},{89,105,1},{100,115,0},{100,115,0},{100,115,0},{100,107,1},{127,53,50},
{95,110,0},{95,110,0},{89,105,0},{126,91,50},{89,105,0},{127,69,72},{99,117,0},{102,111,0},{92,111,0},{127,69,72},{126,99,72},{92,111,0},{0,108,72},{126,99,72},{0,108,72},{97,0,72},{97,0,72},{97,0,72},{97,0,72},{94,112,0},{94,112,0},{94,112,0},{94,103,0},{88,106,0},{88,106,0},{102,126,184},{101,122,76},{102,115,105},{101,114,77},{100,127,260},{98,118,75},{98,115,2},
{98,111,105},{88,119,244},{91,112,76},{104,127,74},{104,120,1},{105,115,5},{104,114,13},{127,73,243},{97,119,72},{98,115,2},{87,112,72},{127,101,243},{87,112,72},{101,125,72},{101,125,72},{101,125,72},{101,113,72},{98,124,50},{98,114,1},{98,114,1},{98,108,5},{91,114,51},{93,109,1},{104,119,0},{104,119,0},{104,119,0},{104,111,1},{127,64,50},{99,114,0},{99,114,0},{93,109,0},{126,97,50},
{93,109,0},{127,81,72},{103,121,0},{106,115,0},{96,115,0},{127,81,72},{126,105,72},{96,115,0},{0,112,72},{126,105,72},{0,112,72},{101,0,72},{101,0,72},{101,0,72},{101,0,72},{98,116,0},{98,116,0},{98,116,0},{98,107,0},{92,110,0},{92,110,0},{106,127,224},{105,126,76},{106,119,105},{105,118,77},{104,127,299},{102,122,75},{102,119,2},{102,115,105},{92,123,244},{95,116,76},{109,127,84},
{108,124,1},{109,119,5},{108,118,13},{127,86,243},{101,123,72},{102,119,2},{91,116,72},{127,107,243},{91,116,72},{105,126,76},{105,126,76},{105,126,76},{105,117,72},{102,126,52},{102,118,1},{102,118,1},{102,112,5},{95,118,51},{97,113,1},{108,123,0},{108,123,0},{108,123,0},{108,115,1},{127,76,50},{103,118,0},{103,118,0},{97,113,0},{126,103,50},{97,113,0},{127,93,72},{107,125,0},{110,119,0},
{100,119,0},{127,93,72},{126,111,72},{100,119,0},{0,116,72},{126,111,72},{0,116,72},{105,0,72},{105,0,72},{105,0,72},{105,0,72},{102,120,0},{102,120,0},{102,120,0},{102,111,0},{96,114,0},{96,114,0},{111,127,290},{111,127,103},{111,124,107},{109,123,79},{111,127,345},{107,126,76},{107,123,3},{106,119,107},{98,127,248},{99,120,76},{114,127,113},{113,127,5},{113,123,6},{112,122,14},{127,99,243},
{107,126,75},{107,123,2},{97,120,74},{126,114,243},{97,120,74},{110,126,90},{110,126,90},{110,126,90},{110,121,74},{108,126,67},{107,123,2},{107,123,2},{106,117,6},{100,122,51},{101,118,1},{113,126,1},{113,126,1},{113,126,1},{112,120,1},{127,90,50},{108,122,0},{108,122,0},{103,117,1},{127,109,50},{103,117,1},{127,107,72},{113,127,4},{115,123,1},{106,123,1},{127,107,72},{127,117,72},{106,123,1},
{0,120,74},{127,117,72},{0,120,74},{109,0,74},{109,0,74},{109,0,74},{109,0,74},{107,123,1},{107,123,1},{107,123,1},{107,115,1},{101,118,0},{101,118,0},{117,127,343},{115,127,179},{114,127,110},{113,126,78},{115,127,387},{111,127,102},{111,127,2},{110,123,90},{105,127,263},{103,124,63},{120,127,134},{118,127,46},{117,127,5},{116,126,9},{127,110,221},{113,127,89},{111,127,1},{101,124,61},{126,119,221},
{101,124,61},{114,127,110},{114,127,110},{114,127,110},{114,125,74},{112,127,91},{111,127,2},{111,127,2},{110,121,6},{104,126,51},{105,122,1},{117,127,5},{117,127,5},{117,127,5},{116,124,1},{127,102,50},{112,126,0},{112,126,0},{107,121,1},{127,115,50},{107,121,1},{127,118,61},{119,127,25},{119,127,0},{110,127,0},{127,118,61},{126,123,61},{110,127,0},{0,124,61},{126,123,61},{0,124,61},{113,0,74},
{113,0,74},{113,0,74},{113,0,74},{111,127,1},{111,127,1},{111,127,1},{111,119,1},{105,122,0},{105,122,0},{120,127,239},{119,127,179},{119,127,154},{118,127,83},{120,127,254},{116,127,78},{116,127,29},{114,126,15},{113,127,169},{109,126,5},{123,127,54},{122,127,34},{122,127,25},{121,127,2},{127,119,93},{119,127,33},{119,127,8},{109,126,5},{127,123,93},{109,126,5},{119,126,154},{119,126,154},{119,126,154},
{118,127,83},{117,127,125},{116,127,29},{116,127,29},{114,125,6},{110,127,72},{109,126,1},{122,126,25},{122,126,25},{122,126,25},{121,127,2},{127,115,50},{119,127,8},{119,127,8},{111,125,1},{127,121,50},{111,125,1},{127,124,5},{125,127,1},{125,127,0},{122,127,0},{127,124,5},{126,126,5},{122,127,0},{0,126,5},{126,126,5},{0,126,5},{117,0,74},{117,0,74},{117,0,74},{117,0,74},{115,127,10},
{115,127,10},{115,127,10},{115,123,1},{109,126,0},{109,126,0},{123,127,140},{123,127,124},{123,127,115},{122,127,83},{123,127,131},{121,127,66},{120,127,50},{119,127,1},{119,127,86},{116,127,8},{126,127,11},{125,127,11},{125,127,10},{125,127,2},{127,124,17},{125,127,6},{124,127,5},{119,127,0},{126,126,17},{119,127,0},{123,127,115},{123,127,115},{123,127,115},{122,127,83},{121,127,98},{120,127,50},{120,127,50},
{119,127,1},{116,127,57},{116,127,8},{125,126,10},{125,126,10},{125,126,10},{125,127,2},{127,122,13},{124,127,5},{124,127,5},{119,127,0},{126,125,13},{119,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{121,0,74},{121,0,74},{121,0,74},{121,0,74},{120,127,25},{120,127,25},{120,127,25},{119,127,1},{116,127,8},
{116,127,8},{0,29,200},{0,19,18},{0,14,1},{0,13,73},{0,20,441},{0,11,281},{0,11,134},{0,7,331},{0,8,474},{0,7,356},{0,29,200},{0,19,18},{0,14,1},{0,13,73},{10,0,441},{0,11,281},{0,11,134},{0,7,331},{20,0,441},{0,7,331},{0,13,0},{0,13,0},{0,13,0},{0,7,0},{0,6,41},{0,5,13},{0,5,13},{0,3,25},{0,3,45},{0,3,29},{0,13,0},
{0,13,0},{0,13,0},{0,7,0},{3,0,41},{0,5,13},{0,5,13},{0,3,25},{6,0,41},{0,3,25},{14,0,200},{0,19,18},{0,14,1},{0,13,73},{14,0,200},{29,0,200},{0,13,73},{0,9,202},{29,0,200},{0,9,202},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,41,200},{0,27,2},{1,19,18},
{0,17,45},{0,27,686},{0,19,346},{0,15,158},{0,10,467},{0,11,762},{0,10,516},{0,41,200},{0,27,2},{1,19,14},{0,17,45},{13,1,686},{0,19,346},{0,15,158},{0,10,467},{27,0,686},{0,10,467},{0,26,0},{0,26,0},{0,26,0},{0,13,0},{0,12,145},{0,11,53},{0,11,53},{0,6,89},{0,5,158},{0,6,105},{0,26,0},{0,26,0},{0,26,0},{0,13,0},{6,0,145},
{0,11,53},{0,11,53},{0,6,89},{12,0,145},{0,6,89},{20,0,200},{1,26,2},{4,18,1},{0,17,45},{20,0,200},{41,0,200},{0,17,45},{0,13,202},{41,0,200},{0,13,202},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,49,225},{2,32,27},{3,24,71},{1,21,54},{0,39,723},{0,25,283},{0,20,65},
{0,15,419},{0,17,865},{0,15,519},{4,45,201},{3,32,1},{5,23,19},{3,21,35},{19,0,723},{0,25,283},{0,20,65},{0,15,419},{39,0,723},{0,15,419},{2,34,25},{2,34,25},{2,34,25},{2,17,26},{0,24,162},{0,17,20},{0,17,20},{0,10,61},{0,11,213},{0,9,110},{4,30,1},{4,30,1},{4,30,1},{3,17,1},{12,0,162},{0,17,20},{0,17,20},{0,10,61},{24,0,162},
{0,10,61},{26,0,200},{3,32,0},{8,22,1},{0,21,18},{26,0,200},{53,0,200},{0,21,18},{0,17,202},{53,0,200},{0,17,202},{2,0,25},{2,0,25},{2,0,25},{2,0,25},{0,10,0},{0,10,0},{0,10,0},{0,5,0},{0,5,9},{0,5,9},{4,57,313},{4,39,121},{5,28,198},{4,25,131},{0,52,723},{0,31,227},{0,26,9},{0,20,362},{0,22,959},{0,19,515},{8,49,201},
{7,36,1},{9,27,19},{7,25,35},{25,0,723},{0,31,227},{0,26,9},{0,20,362},{52,0,723},{0,20,362},{4,42,113},{4,42,113},{4,42,113},{4,22,114},{0,36,162},{0,24,2},{0,24,2},{0,15,34},{0,17,285},{0,14,122},{8,34,1},{8,34,1},{8,34,1},{7,21,1},{18,0,162},{1,23,2},{1,23,2},{0,15,34},{36,0,162},{0,15,34},{32,0,200},{7,36,0},{12,26,1},
{0,26,5},{32,0,200},{65,0,200},{0,26,5},{0,21,202},{65,0,200},{0,21,202},{4,0,113},{4,0,113},{4,0,113},{4,0,113},{0,23,0},{0,23,0},{0,23,0},{0,11,0},{0,8,41},{0,8,41},{7,64,400},{7,43,216},{8,32,312},{7,30,213},{2,61,723},{1,38,208},{2,31,2},{0,24,312},{0,31,980},{0,24,440},{12,54,200},{12,40,0},{13,31,20},{11,29,36},{32,0,723},
{0,38,203},{2,31,2},{0,24,296},{65,0,723},{0,24,296},{7,49,200},{7,49,200},{7,49,200},{7,28,200},{2,46,162},{2,31,2},{2,31,2},{2,20,20},{0,22,280},{0,19,84},{12,39,0},{12,39,0},{12,39,0},{12,25,1},{24,1,162},{4,29,0},{4,29,0},{0,20,13},{50,0,162},{0,20,13},{39,0,200},{12,40,0},{16,31,0},{0,31,0},{39,0,200},{78,0,200},{0,31,0},
{0,26,200},{78,0,200},{0,26,200},{7,0,200},{7,0,200},{7,0,200},{7,0,200},{2,32,0},{2,32,0},{2,32,0},{2,17,0},{0,14,50},{0,14,50},{11,68,400},{11,47,216},{12,36,312},{11,34,213},{6,65,723},{5,42,208},{6,35,2},{4,28,312},{0,37,868},{0,28,304},{16,58,200},{16,44,0},{17,35,20},{15,33,36},{38,0,723},{3,43,200},{6,35,2},{0,29,257},{77,0,723},
{0,29,257},{11,53,200},{11,53,200},{11,53,200},{11,32,200},{6,50,162},{6,35,2},{6,35,2},{6,24,20},{0,28,216},{0,24,20},{16,43,0},{16,43,0},{16,43,0},{16,29,1},{30,1,162},{8,33,0},{8,33,0},{0,24,4},{62,0,162},{0,24,4},{45,0,200},{16,44,0},{20,35,0},{4,35,0},{45,0,200},{91,0,200},{4,35,0},{0,30,200},{91,0,200},{0,30,200},{11,0,200},
{11,0,200},{11,0,200},{11,0,200},{6,36,0},{6,36,0},{6,36,0},{6,21,0},{0,22,8},{0,22,8},{15,72,400},{15,51,216},{16,40,312},{15,38,213},{10,69,723},{9,46,208},{10,39,2},{8,32,312},{0,43,788},{0,33,228},{20,62,200},{20,48,0},{21,39,20},{19,37,36},{44,0,723},{7,47,200},{10,39,2},{0,33,224},{89,0,723},{0,33,224},{15,57,200},{15,57,200},{15,57,200},
{15,36,200},{10,54,162},{10,39,2},{10,39,2},{10,28,20},{0,35,179},{1,29,0},{20,47,0},{20,47,0},{20,47,0},{20,33,1},{36,1,162},{12,37,0},{12,37,0},{1,29,0},{74,0,162},{1,29,0},{50,1,200},{20,48,0},{24,39,0},{8,39,0},{50,1,200},{103,0,200},{8,39,0},{0,34,200},{103,0,200},{0,34,200},{15,0,200},{15,0,200},{15,0,200},{15,0,200},{10,40,0},
{10,40,0},{10,40,0},{10,25,0},{1,29,0},{1,29,0},{19,76,400},{19,55,216},{20,44,312},{19,42,213},{14,73,723},{13,50,208},{14,43,2},{12,36,312},{0,49,740},{1,37,216},{24,66,200},{24,52,0},{25,43,20},{23,41,36},{50,0,723},{11,51,200},{14,43,2},{0,38,209},{101,0,723},{0,38,209},{19,61,200},{19,61,200},{19,61,200},{19,40,200},{14,58,162},{14,43,2},{14,43,2},
{14,32,20},{1,42,163},{5,33,0},{24,51,0},{24,51,0},{24,51,0},{24,37,1},{42,1,162},{16,41,0},{16,41,0},{5,33,0},{86,0,162},{5,33,0},{56,1,200},{24,52,0},{28,43,0},{12,43,0},{56,1,200},{115,0,200},{12,43,0},{0,38,200},{115,0,200},{0,38,200},{19,0,200},{19,0,200},{19,0,200},{19,0,200},{14,44,0},{14,44,0},{14,44,0},{14,29,0},{5,33,0},
{5,33,0},{24,80,402},{24,60,212},{25,49,308},{23,47,212},{19,76,724},{19,53,212},{19,47,4},{17,41,308},{1,55,724},{6,42,212},{29,69,201},{28,57,1},{30,48,19},{28,46,35},{56,1,723},{15,56,200},{19,47,3},{1,42,202},{115,0,723},{1,42,202},{24,64,202},{24,64,202},{24,64,202},{24,44,202},{19,61,163},{19,46,3},{19,46,3},{18,36,19},{6,46,163},{9,38,1},{29,55,1},
{29,55,1},{29,55,1},{28,42,1},{49,0,162},{20,46,0},{20,46,0},{11,37,1},{100,0,162},{11,37,1},{63,0,200},{28,57,0},{33,47,1},{18,47,1},{63,0,200},{127,1,200},{18,47,1},{0,42,202},{127,1,200},{0,42,202},{23,0,202},{23,0,202},{23,0,202},{23,0,202},{19,48,1},{19,48,1},{19,48,1},{19,33,1},{9,38,0},{9,38,0},{28,84,402},{28,64,215},{29,53,308},
{27,51,212},{23,80,724},{23,57,212},{23,51,4},{21,45,308},{5,59,724},{10,46,212},{33,73,201},{32,61,1},{34,52,19},{32,50,35},{62,1,723},{19,60,200},{23,51,3},{5,46,202},{127,0,723},{5,46,202},{28,68,202},{28,68,202},{28,68,202},{28,48,202},{23,65,163},{23,50,3},{23,50,3},{22,40,19},{10,50,163},{13,42,1},{33,59,1},{33,59,1},{33,59,1},{32,46,1},{55,0,162},
{24,50,0},{24,50,0},{15,41,1},{112,0,162},{15,41,1},{69,0,200},{32,61,0},{37,51,1},{22,51,1},{69,0,200},{127,7,200},{22,51,1},{0,46,202},{127,7,200},{0,46,202},{27,0,202},{27,0,202},{27,0,202},{27,0,202},{23,52,1},{23,52,1},{23,52,1},{23,37,1},{13,42,0},{13,42,0},{32,88,402},{32,68,215},{33,57,308},{31,55,212},{27,84,724},{27,61,212},{27,55,4},
{25,49,308},{8,64,723},{14,50,212},{37,77,201},{36,64,2},{38,56,19},{36,54,35},{68,0,723},{22,64,201},{27,55,3},{9,50,202},{127,6,723},{9,50,202},{32,72,202},{32,72,202},{32,72,202},{32,52,202},{27,69,163},{27,54,3},{27,54,3},{26,44,19},{14,54,163},{17,46,1},{37,63,1},{37,63,1},{37,63,1},{36,50,1},{61,0,162},{28,54,0},{28,54,0},{19,45,1},{124,0,162},
{19,45,1},{75,0,200},{36,64,1},{41,55,1},{26,55,1},{75,0,200},{127,13,200},{26,55,1},{0,50,202},{127,13,200},{0,50,202},{31,0,202},{31,0,202},{31,0,202},{31,0,202},{27,56,1},{27,56,1},{27,56,1},{27,41,1},{17,46,0},{17,46,0},{36,92,402},{36,72,215},{37,61,308},{35,59,212},{31,88,724},{30,65,207},{31,59,4},{29,53,308},{12,68,723},{18,54,212},{41,81,201},
{41,67,2},{42,60,19},{40,58,35},{74,0,723},{28,67,201},{31,59,3},{13,54,202},{127,12,723},{13,54,202},{36,76,202},{36,76,202},{36,76,202},{36,56,202},{31,73,163},{31,58,3},{31,58,3},{30,48,19},{18,58,163},{21,50,1},{41,66,1},{41,66,1},{41,66,1},{40,54,1},{66,1,162},{32,58,0},{32,58,0},{23,49,1},{126,5,162},{23,49,1},{80,1,200},{41,67,1},{45,59,1},
{30,59,1},{80,1,200},{126,19,200},{30,59,1},{0,54,202},{126,19,200},{0,54,202},{35,0,202},{35,0,202},{35,0,202},{35,0,202},{31,60,1},{31,60,1},{31,60,1},{31,45,1},{21,50,0},{21,50,0},{40,97,400},{40,77,213},{42,64,314},{40,63,213},{35,94,723},{35,70,209},{35,64,6},{33,57,312},{17,72,723},{22,58,216},{45,87,200},{45,72,1},{46,64,21},{44,62,36},{80,1,723},
{33,71,201},{36,63,4},{16,59,200},{126,19,723},{16,59,200},{40,82,200},{40,82,200},{40,82,200},{40,61,200},{35,78,162},{35,63,4},{35,63,4},{35,53,20},{22,63,163},{26,54,0},{45,72,0},{45,72,0},{45,72,0},{45,58,1},{73,0,162},{37,62,0},{37,62,0},{26,54,0},{126,12,162},{26,54,0},{87,0,200},{45,72,1},{49,64,1},{32,64,1},{87,0,200},{126,26,200},{32,64,1},
{0,59,200},{126,26,200},{0,59,200},{40,0,200},{40,0,200},{40,0,200},{40,0,200},{35,65,0},{35,65,0},{35,65,0},{35,50,0},{26,54,0},{26,54,0},{44,101,400},{44,81,213},{46,68,314},{44,66,213},{39,98,723},{39,74,209},{39,67,2},{37,61,312},{21,76,723},{26,62,216},{49,91,200},{49,76,1},{50,68,21},{48,66,38},{86,1,723},{37,75,201},{39,67,2},{20,63,200},{126,25,723},
{20,63,200},{44,86,200},{44,86,200},{44,86,200},{44,64,200},{39,82,162},{39,67,1},{39,67,1},{39,57,20},{25,67,162},{30,58,0},{49,76,0},{49,76,0},{49,76,0},{49,62,1},{79,0,162},{41,65,1},{41,65,1},{30,58,0},{127,17,162},{30,58,0},{93,0,200},{49,76,1},{53,67,1},{38,67,1},{93,0,200},{126,32,200},{38,67,1},{0,63,200},{126,32,200},{0,63,200},{44,0,200},
{44,0,200},{44,0,200},{44,0,200},{39,69,0},{39,69,0},{39,69,0},{39,54,0},{30,58,0},{30,58,0},{48,105,400},{48,85,213},{50,72,314},{48,70,213},{43,102,723},{43,78,209},{43,71,2},{41,65,315},{25,80,723},{29,66,215},{53,95,200},{53,80,1},{54,72,21},{52,70,38},{92,1,723},{41,79,201},{43,71,2},{25,66,202},{126,31,723},{25,66,202},{48,90,200},{48,90,200},{48,90,200},
{48,68,200},{43,86,162},{43,71,1},{43,71,1},{43,61,20},{29,71,162},{34,62,0},{53,80,0},{53,80,0},{53,80,0},{53,66,0},{85,0,162},{45,69,1},{45,69,1},{34,62,0},{127,23,162},{34,62,0},{99,0,200},{53,80,1},{57,71,1},{42,71,1},{99,0,200},{126,38,200},{42,71,1},{0,66,202},{126,38,200},{0,66,202},{48,0,200},{48,0,200},{48,0,200},{48,0,200},{43,73,0},
{43,73,0},{43,73,0},{43,58,0},{34,62,0},{34,62,0},{52,109,400},{52,89,213},{54,76,314},{52,74,213},{47,106,723},{47,82,209},{47,75,2},{45,69,315},{29,84,723},{33,70,215},{57,99,200},{57,84,1},{58,76,21},{56,74,38},{98,1,723},{45,83,201},{47,75,2},{29,70,202},{126,37,723},{29,70,202},{52,94,200},{52,94,200},{52,94,200},{52,72,200},{47,90,162},{47,75,1},{47,75,1},
{46,65,21},{33,75,162},{38,65,2},{57,84,0},{57,84,0},{57,84,0},{57,70,0},{91,0,162},{49,73,1},{49,73,1},{39,65,1},{127,29,162},{39,65,1},{105,0,200},{57,84,1},{61,75,1},{46,75,1},{105,0,200},{126,44,200},{46,75,1},{0,70,202},{126,44,200},{0,70,202},{52,0,200},{52,0,200},{52,0,200},{52,0,200},{47,77,0},{47,77,0},{47,77,0},{47,62,0},{38,65,1},
{38,65,1},{57,113,402},{57,93,215},{58,82,315},{56,79,215},{52,109,724},{51,86,207},{52,80,2},{51,73,314},{33,89,723},{38,75,213},{62,102,201},{62,88,2},{62,81,21},{60,79,38},{105,0,723},{49,88,201},{52,80,1},{33,75,200},{126,44,723},{33,75,200},{57,97,202},{57,97,202},{57,97,202},{56,77,202},{52,94,163},{52,79,2},{52,79,2},{51,69,21},{38,79,162},{42,70,1},{62,87,1},
{62,87,1},{62,87,1},{62,74,1},{98,0,162},{54,77,1},{54,77,1},{43,70,0},{127,36,162},{43,70,0},{112,0,200},{62,88,1},{65,80,0},{50,80,0},{112,0,200},{127,50,200},{50,80,0},{0,75,200},{127,50,200},{0,75,200},{56,0,202},{56,0,202},{56,0,202},{56,0,202},{52,80,1},{52,80,1},{52,80,1},{51,66,1},{43,69,1},{43,69,1},{61,117,402},{61,97,215},{62,86,315},
{60,83,215},{56,113,724},{55,90,207},{56,84,2},{55,77,314},{37,93,723},{42,79,213},{65,107,200},{65,93,0},{66,84,20},{64,82,36},{111,0,723},{53,92,201},{56,84,1},{37,79,200},{127,49,723},{37,79,200},{61,101,202},{61,101,202},{61,101,202},{60,81,202},{56,98,163},{56,83,2},{56,83,2},{55,73,21},{42,83,162},{46,74,1},{65,92,0},{65,92,0},{65,92,0},{65,78,1},{104,0,162},
{58,81,1},{58,81,1},{47,74,0},{127,42,162},{47,74,0},{118,0,200},{65,93,0},{69,84,0},{54,84,0},{118,0,200},{127,56,200},{54,84,0},{0,79,200},{127,56,200},{0,79,200},{60,0,202},{60,0,202},{60,0,202},{60,0,202},{56,84,1},{56,84,1},{56,84,1},{55,70,1},{47,73,1},{47,73,1},{64,122,400},{64,100,216},{65,89,312},{64,87,213},{60,117,724},{59,94,207},{60,88,2},
{59,81,314},{41,97,723},{46,83,213},{69,111,200},{69,97,0},{70,88,20},{68,86,36},{117,0,723},{57,96,201},{60,88,1},{41,83,200},{127,55,723},{41,83,200},{64,106,200},{64,106,200},{64,106,200},{64,85,200},{60,102,163},{60,87,2},{60,87,2},{59,77,21},{46,87,162},{50,78,1},{69,96,0},{69,96,0},{69,96,0},{69,82,1},{110,0,162},{62,85,1},{62,85,1},{51,78,0},{126,48,162},
{51,78,0},{124,0,200},{69,97,0},{73,88,0},{58,88,0},{124,0,200},{127,62,200},{58,88,0},{0,83,200},{127,62,200},{0,83,200},{64,0,200},{64,0,200},{64,0,200},{64,0,200},{60,88,1},{60,88,1},{60,88,1},{59,74,1},{51,77,1},{51,77,1},{68,126,400},{68,104,216},{69,93,312},{68,91,213},{63,123,724},{63,98,207},{63,92,6},{63,85,314},{45,101,723},{50,87,213},{73,115,200},
{73,101,0},{74,92,20},{72,90,36},{123,0,723},{61,100,201},{64,91,4},{45,87,200},{127,61,723},{45,87,200},{68,110,200},{68,110,200},{68,110,200},{68,89,200},{63,108,163},{64,91,4},{64,91,4},{63,81,21},{50,91,162},{54,82,1},{73,100,0},{73,100,0},{73,100,0},{73,86,1},{115,1,162},{65,90,0},{65,90,0},{55,82,0},{126,54,162},{55,82,0},{127,5,200},{73,101,0},{77,92,0},
{62,92,0},{127,5,200},{126,68,200},{62,92,0},{0,87,200},{126,68,200},{0,87,200},{68,0,200},{68,0,200},{68,0,200},{68,0,200},{63,94,1},{63,94,1},{63,94,1},{63,78,1},{55,81,1},{55,81,1},{73,126,410},{73,109,212},{74,98,308},{72,96,212},{68,126,724},{68,102,212},{68,96,4},{66,90,308},{50,105,723},{54,91,215},{78,119,201},{77,106,1},{79,97,19},{77,95,35},{127,5,723},
{64,105,200},{68,96,3},{50,91,202},{126,68,723},{50,91,202},{73,114,202},{73,114,202},{73,114,202},{73,93,202},{68,110,163},{68,95,3},{68,95,3},{67,85,19},{54,96,162},{59,86,2},{78,104,1},{78,104,1},{78,104,1},{77,91,1},{122,0,162},{69,95,0},{69,95,0},{60,86,1},{126,61,162},{60,86,1},{127,19,200},{77,106,0},{82,96,1},{67,96,1},{127,19,200},{127,74,200},{67,96,1},
{0,91,202},{127,74,200},{0,91,202},{72,0,202},{72,0,202},{72,0,202},{72,0,202},{68,97,1},{68,97,1},{68,97,1},{68,82,1},{59,86,1},{59,86,1},{77,127,434},{77,113,212},{78,102,308},{76,100,212},{72,127,732},{72,106,212},{72,100,4},{70,94,308},{54,109,723},{58,95,215},{82,123,201},{81,110,1},{83,101,19},{81,99,35},{127,18,723},{68,109,200},{72,100,3},{54,95,202},{126,74,723},
{54,95,202},{77,118,202},{77,118,202},{77,118,202},{77,97,202},{72,114,163},{72,99,3},{72,99,3},{71,89,19},{58,100,162},{63,90,2},{82,108,1},{82,108,1},{82,108,1},{81,95,1},{127,2,162},{73,99,0},{73,99,0},{64,90,1},{127,66,162},{64,90,1},{127,31,200},{81,110,0},{86,100,1},{71,100,1},{127,31,200},{127,80,200},{71,100,1},{0,95,202},{127,80,200},{0,95,202},{76,0,202},
{76,0,202},{76,0,202},{76,0,202},{72,101,1},{72,101,1},{72,101,1},{72,86,1},{63,90,1},{63,90,1},{82,127,468},{81,117,212},{82,106,308},{80,104,212},{77,127,753},{76,110,212},{76,104,4},{74,98,308},{58,113,723},{62,99,215},{86,127,201},{85,114,1},{87,105,19},{85,103,35},{127,30,723},{72,113,200},{76,104,3},{58,99,202},{127,79,723},{58,99,202},{81,122,202},{81,122,202},{81,122,202},
{81,101,202},{76,118,163},{76,103,3},{76,103,3},{75,93,19},{62,104,162},{66,95,1},{86,112,1},{86,112,1},{86,112,1},{85,99,1},{127,14,162},{77,103,0},{77,103,0},{68,94,1},{127,72,162},{68,94,1},{127,43,200},{85,114,0},{90,104,1},{75,104,1},{127,43,200},{127,86,200},{75,104,1},{0,99,202},{127,86,200},{0,99,202},{80,0,202},{80,0,202},{80,0,202},{80,0,202},{76,105,1},
{76,105,1},{76,105,1},{76,90,1},{66,95,0},{66,95,0},{86,127,546},{85,121,212},{86,110,308},{84,108,212},{82,127,788},{80,114,212},{80,108,4},{78,102,308},{62,117,723},{67,103,212},{91,127,211},{89,118,1},{91,109,19},{89,107,35},{127,42,723},{76,117,200},{80,108,3},{62,103,202},{127,85,723},{62,103,202},{85,126,202},{85,126,202},{85,126,202},{85,105,202},{80,122,163},{80,107,3},{80,107,3},
{79,97,19},{67,107,163},{70,99,1},{90,116,1},{90,116,1},{90,116,1},{89,103,1},{127,27,162},{81,107,0},{81,107,0},{72,98,1},{126,78,162},{72,98,1},{127,56,200},{89,118,0},{94,108,1},{79,108,1},{127,56,200},{127,92,200},{79,108,1},{0,103,202},{127,92,200},{0,103,202},{84,0,202},{84,0,202},{84,0,202},{84,0,202},{80,109,1},{80,109,1},{80,109,1},{80,94,1},{70,99,0},
{70,99,0},{91,127,632},{89,125,216},{90,114,312},{89,112,213},{88,127,852},{83,120,208},{84,113,2},{82,106,312},{66,121,724},{71,107,216},{97,127,244},{94,122,0},{95,113,20},{93,111,36},{127,56,723},{81,121,200},{84,113,2},{65,108,200},{127,92,723},{65,108,200},{89,127,209},{89,127,209},{89,127,209},{89,110,200},{84,126,164},{84,113,2},{84,113,2},{84,102,20},{71,112,163},{75,103,0},{94,121,0},
{94,121,0},{94,121,0},{94,107,1},{127,40,162},{86,111,0},{86,111,0},{75,103,0},{126,85,162},{75,103,0},{127,69,200},{94,122,0},{98,113,0},{82,113,0},{127,69,200},{126,99,200},{82,113,0},{0,108,200},{126,99,200},{0,108,200},{89,0,200},{89,0,200},{89,0,200},{89,0,200},{84,114,0},{84,114,0},{84,114,0},{84,99,0},{75,103,0},{75,103,0},{97,127,728},{94,127,228},{94,118,312},
{93,116,213},{94,127,932},{87,124,208},{88,117,2},{86,110,312},{70,125,724},{75,111,216},{101,127,286},{98,126,0},{99,117,20},{97,115,36},{127,67,723},{85,125,200},{88,117,2},{69,112,200},{127,98,723},{69,112,200},{94,127,224},{94,127,224},{94,127,224},{93,114,200},{89,127,174},{88,117,2},{88,117,2},{88,106,20},{75,116,163},{79,107,0},{98,125,0},{98,125,0},{98,125,0},{98,111,1},{127,53,162},
{90,115,0},{90,115,0},{79,107,0},{126,91,162},{79,107,0},{127,81,200},{98,126,0},{102,117,0},{86,117,0},{127,81,200},{126,105,200},{86,117,0},{0,112,200},{126,105,200},{0,112,200},{93,0,200},{93,0,200},{93,0,200},{93,0,200},{88,118,0},{88,118,0},{88,118,0},{88,103,0},{79,107,0},{79,107,0},{100,127,864},{99,127,304},{98,122,312},{97,120,213},{98,127,1043},{92,127,211},{92,121,2},
{90,114,312},{76,127,732},{79,115,216},{106,127,336},{102,127,20},{103,121,20},{101,119,36},{127,79,723},{90,127,208},{92,121,2},{73,116,200},{127,104,723},{73,116,200},{98,127,257},{98,127,257},{98,127,257},{97,118,200},{94,127,196},{92,121,2},{92,121,2},{92,110,20},{79,120,163},{83,111,0},{102,126,4},{102,126,4},{102,126,4},{102,115,1},{127,64,162},{94,119,0},{94,119,0},{83,111,0},{126,97,162},
{83,111,0},{127,93,200},{105,127,8},{106,121,0},{90,121,0},{127,93,200},{126,111,200},{90,121,0},{0,116,200},{126,111,200},{0,116,200},{97,0,200},{97,0,200},{97,0,200},{97,0,200},{92,122,0},{92,122,0},{92,122,0},{92,107,0},{83,111,0},{83,111,0},{106,127,992},{103,127,440},{102,126,312},{101,124,213},{103,127,1144},{96,127,272},{96,125,2},{94,118,312},{84,127,804},{83,119,216},{111,127,398},
{108,127,84},{107,125,20},{105,123,36},{127,92,723},{99,127,248},{96,125,2},{77,120,200},{126,110,723},{77,120,200},{103,127,296},{103,127,296},{103,127,296},{101,122,200},{100,127,244},{96,125,2},{96,125,2},{96,114,20},{83,124,163},{87,115,0},{107,127,13},{107,127,13},{107,127,13},{106,119,1},{127,76,162},{98,123,0},{98,123,0},{87,115,0},{126,103,162},{87,115,0},{127,105,200},{111,127,45},{110,125,0},
{94,125,0},{127,105,200},{126,117,200},{94,125,0},{0,120,200},{126,117,200},{0,120,200},{101,0,200},{101,0,200},{101,0,200},{101,0,200},{96,126,0},{96,126,0},{96,126,0},{96,111,0},{87,115,0},{87,115,0},{111,127,919},{108,127,515},{107,127,362},{105,127,203},{109,127,1027},{102,127,267},{101,127,9},{99,122,198},{93,127,703},{88,123,121},{115,127,338},{113,127,122},{112,127,34},{110,126,14},{127,102,546},
{108,127,202},{102,127,2},{85,123,113},{127,115,546},{85,123,113},{107,127,362},{107,127,362},{107,127,362},{106,126,202},{104,127,309},{101,127,9},{101,127,9},{100,118,19},{89,127,168},{91,120,1},{112,127,34},{112,127,34},{112,127,34},{110,124,1},{127,90,162},{104,126,2},{104,126,2},{93,119,1},{127,109,162},{93,119,1},{127,115,113},{119,127,41},{116,127,0},{104,127,0},{127,115,113},{127,121,113},{104,127,0},
{0,123,113},{127,121,113},{0,123,113},{105,0,202},{105,0,202},{105,0,202},{105,0,202},{101,127,5},{101,127,5},{101,127,5},{101,115,1},{91,120,0},{91,120,0},{114,127,751},{111,127,514},{111,127,414},{110,127,218},{114,127,814},{108,127,219},{107,127,65},{103,124,71},{102,127,539},{94,125,27},{120,127,206},{117,127,110},{117,127,61},{115,127,2},{127,110,333},{113,127,121},{110,127,20},{93,125,25},{126,119,333},
{93,125,25},{111,127,414},{111,127,414},{111,127,414},{110,127,218},{109,127,371},{107,127,65},{107,127,65},{104,122,19},{96,127,203},{95,124,1},{117,127,61},{117,127,61},{117,127,61},{115,127,2},{127,102,162},{110,127,20},{110,127,20},{97,123,1},{127,115,162},{97,123,1},{127,121,25},{122,127,9},{122,127,0},{116,127,0},{127,121,25},{127,124,25},{116,127,0},{0,125,25},{127,124,25},{0,125,25},{109,0,202},
{109,0,202},{109,0,202},{109,0,202},{106,127,18},{106,127,18},{106,127,18},{105,119,1},{95,124,0},{95,124,0},{117,127,636},{117,127,516},{117,127,467},{115,127,282},{117,127,643},{111,127,241},{111,127,141},{108,126,18},{108,127,434},{99,127,2},{123,127,131},{121,127,105},{121,127,89},{119,127,26},{127,118,193},{119,127,86},{116,127,53},{101,127,0},{126,123,193},{101,127,0},{117,127,467},{117,127,467},{117,127,467},
{115,127,282},{114,127,410},{111,127,141},{111,127,141},{108,126,14},{105,127,254},{99,127,2},{121,127,89},{121,127,89},{121,127,89},{119,127,26},{127,113,145},{116,127,53},{116,127,53},{101,127,0},{127,120,145},{101,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{113,0,202},{113,0,202},{113,0,202},{113,0,202},{111,127,41},
{111,127,41},{111,127,41},{109,123,1},{101,126,2},{101,126,2},{120,127,412},{120,127,356},{120,127,331},{118,127,238},{120,127,387},{116,127,183},{116,127,134},{113,127,1},{113,127,262},{108,127,18},{124,127,41},{124,127,29},{124,127,25},{122,127,10},{127,122,54},{122,127,22},{122,127,13},{113,127,0},{126,125,54},{113,127,0},{120,127,331},{120,127,331},{120,127,331},{118,127,238},{117,127,266},{116,127,134},{116,127,134},
{113,127,1},{110,127,161},{108,127,18},{124,127,25},{124,127,25},{124,127,25},{122,127,10},{127,119,41},{122,127,13},{122,127,13},{113,127,0},{127,123,41},{113,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{117,0,202},{117,0,202},{117,0,202},{117,0,202},{114,127,73},{114,127,73},{114,127,73},{113,127,1},{108,127,18},
{108,127,18},{0,41,421},{0,28,41},{0,21,1},{0,18,157},{0,27,925},{0,19,569},{0,17,285},{0,12,701},{0,12,1005},{0,10,751},{0,41,421},{0,28,41},{0,21,1},{0,18,157},{13,1,925},{0,19,569},{0,17,285},{0,12,701},{27,0,925},{0,12,701},{0,20,0},{0,20,0},{0,20,0},{0,10,0},{0,9,85},{0,8,29},{0,8,29},{0,4,50},{0,5,94},{0,4,59},{0,20,0},
{0,20,0},{0,20,0},{0,10,0},{5,0,85},{0,8,29},{0,8,29},{0,4,50},{9,0,85},{0,4,50},{20,0,421},{0,28,41},{0,21,1},{0,18,157},{20,0,421},{41,0,421},{0,18,157},{0,14,421},{41,0,421},{0,14,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,53,421},{0,37,9},{1,25,17},
{0,21,113},{0,36,1261},{0,22,677},{0,20,305},{0,15,881},{0,17,1383},{0,13,971},{0,53,421},{0,37,9},{1,25,13},{0,21,113},{18,0,1261},{0,22,677},{0,20,305},{0,15,881},{36,0,1261},{0,15,881},{0,32,0},{0,32,0},{0,32,0},{0,15,1},{0,15,221},{0,11,85},{0,11,85},{0,7,130},{0,8,246},{0,7,155},{0,32,0},{0,32,0},{0,32,0},{0,15,1},{8,0,221},
{0,11,85},{0,11,85},{0,7,130},{15,0,221},{0,7,130},{26,0,421},{0,37,9},{3,25,1},{0,21,113},{26,0,421},{53,0,421},{0,21,113},{0,18,421},{53,0,421},{0,18,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{1,63,426},{1,42,6},{2,29,66},{0,27,74},{0,45,1514},{0,28,706},{0,25,258},
{0,18,974},{0,19,1706},{0,18,1118},{2,61,422},{1,42,2},{3,30,38},{0,27,74},{22,0,1514},{0,28,706},{0,25,258},{0,18,974},{45,0,1514},{0,18,974},{1,42,5},{1,42,5},{1,42,5},{1,21,5},{0,24,338},{0,19,90},{0,19,90},{0,10,181},{0,11,389},{0,10,230},{2,40,1},{2,40,1},{2,40,1},{1,21,1},{12,0,338},{0,19,90},{0,19,90},{0,10,181},{24,0,338},
{0,10,181},{32,0,421},{1,42,1},{7,29,1},{0,27,65},{32,0,421},{65,0,421},{0,27,65},{0,22,421},{65,0,421},{0,22,421},{1,0,5},{1,0,5},{1,0,5},{1,0,5},{0,4,0},{0,4,0},{0,4,0},{0,2,0},{0,2,1},{0,2,1},{3,71,482},{3,48,62},{4,34,158},{2,31,117},{0,58,1514},{0,37,594},{0,31,122},{0,23,881},{0,25,1818},{0,21,1086},{6,65,422},
{5,46,2},{7,34,38},{4,31,74},{28,0,1514},{0,37,594},{0,31,122},{0,23,881},{58,0,1514},{0,23,881},{3,50,61},{3,50,61},{3,50,61},{3,26,61},{0,36,338},{0,25,34},{0,25,34},{0,15,130},{0,17,461},{0,14,226},{6,44,1},{6,44,1},{6,44,1},{5,25,1},{18,0,338},{0,25,34},{0,25,34},{0,15,130},{36,0,338},{0,15,130},{38,0,421},{5,46,1},{11,33,1},
{0,32,40},{38,0,421},{77,0,421},{0,32,40},{0,26,421},{77,0,421},{0,26,421},{3,0,61},{3,0,61},{3,0,61},{3,0,61},{0,16,0},{0,16,0},{0,16,0},{0,8,0},{0,5,25},{0,5,25},{5,80,621},{5,55,213},{7,40,357},{5,35,241},{0,71,1514},{0,43,497},{0,36,29},{0,27,761},{0,31,1989},{0,26,1079},{10,70,421},{10,50,1},{11,38,41},{8,35,77},{35,0,1514},
{0,43,497},{0,36,29},{0,27,761},{71,0,1514},{0,27,761},{5,60,200},{5,60,200},{5,60,200},{5,32,200},{0,50,338},{0,34,4},{0,34,4},{0,21,80},{0,22,552},{0,19,244},{10,49,0},{10,49,0},{10,49,0},{10,29,0},{24,1,338},{0,34,4},{0,34,4},{0,21,80},{50,0,338},{0,21,80},{45,0,421},{10,50,1},{16,37,1},{0,36,13},{45,0,421},{91,0,421},{0,36,13},
{0,30,421},{91,0,421},{0,30,421},{5,0,200},{5,0,200},{5,0,200},{5,0,200},{0,30,0},{0,30,0},{0,30,0},{0,15,0},{0,11,74},{0,11,74},{7,89,813},{7,60,421},{10,43,617},{7,40,417},{0,83,1514},{0,51,446},{0,41,3},{0,32,686},{0,37,2165},{0,31,1101},{14,74,421},{14,54,1},{15,42,41},{12,39,77},{41,0,1514},{0,51,446},{0,41,3},{0,32,686},{83,0,1514},
{0,32,686},{7,67,392},{7,67,392},{7,67,392},{7,37,392},{0,62,338},{0,41,2},{0,41,2},{0,24,52},{0,28,680},{0,23,298},{14,53,0},{14,53,0},{14,53,0},{14,33,0},{30,1,338},{2,39,0},{2,39,0},{0,24,52},{62,0,338},{0,24,52},{51,0,421},{14,54,1},{20,41,1},{0,41,2},{51,0,421},{103,0,421},{0,41,2},{0,34,421},{103,0,421},{0,34,421},{7,0,392},
{7,0,392},{7,0,392},{7,0,392},{0,42,0},{0,42,0},{0,42,0},{0,21,0},{0,17,146},{0,17,146},{11,93,842},{11,65,453},{12,48,654},{11,44,446},{4,87,1515},{3,54,435},{4,45,4},{0,36,654},{0,43,2030},{0,35,882},{18,78,421},{18,58,1},{19,46,41},{16,43,77},{47,0,1514},{0,57,422},{4,45,3},{0,36,605},{95,0,1514},{0,36,605},{11,71,421},{11,71,421},{11,71,421},
{11,41,421},{4,66,339},{4,45,3},{4,45,3},{2,29,41},{0,34,581},{0,28,161},{18,57,0},{18,57,0},{18,57,0},{18,37,0},{36,1,338},{6,43,0},{6,43,0},{0,30,20},{74,0,338},{0,30,20},{57,0,421},{18,58,1},{24,45,1},{2,45,1},{57,0,421},{115,0,421},{2,45,1},{0,38,421},{115,0,421},{0,38,421},{11,0,421},{11,0,421},{11,0,421},{11,0,421},{4,46,1},
{4,46,1},{4,46,1},{3,25,1},{0,22,85},{0,22,85},{15,97,842},{16,67,453},{16,52,654},{15,48,446},{8,91,1515},{7,58,435},{8,49,4},{4,40,654},{0,51,1850},{0,40,682},{22,82,421},{22,62,1},{23,50,41},{20,47,77},{53,0,1514},{3,61,421},{8,49,3},{0,41,554},{107,0,1514},{0,41,554},{15,75,421},{15,75,421},{15,75,421},{15,45,421},{8,70,339},{8,49,3},{8,49,3},
{6,33,41},{0,40,477},{0,34,57},{22,61,0},{22,61,0},{22,61,0},{22,41,0},{42,1,338},{10,47,0},{10,47,0},{0,34,8},{86,0,338},{0,34,8},{63,0,421},{22,62,1},{28,49,1},{6,49,1},{63,0,421},{127,0,421},{6,49,1},{0,42,421},{127,0,421},{0,42,421},{15,0,421},{15,0,421},{15,0,421},{15,0,421},{8,50,1},{8,50,1},{8,50,1},{7,29,1},{0,31,29},
{0,31,29},{19,102,842},{20,71,451},{21,57,650},{19,52,446},{12,97,1514},{12,63,437},{12,54,2},{9,45,650},{0,57,1710},{0,45,530},{27,86,422},{26,67,1},{28,55,38},{25,52,74},{59,1,1514},{7,66,421},{12,54,2},{0,45,494},{121,0,1514},{0,45,494},{19,81,421},{19,81,421},{19,81,421},{19,49,422},{12,75,338},{12,54,2},{12,54,2},{11,38,38},{0,49,402},{0,39,6},{27,64,1},
{27,64,1},{27,64,1},{26,46,1},{49,0,338},{14,52,0},{14,52,0},{1,39,1},{100,0,338},{1,39,1},{69,0,421},{26,67,0},{32,54,1},{10,54,0},{69,0,421},{127,7,421},{10,54,0},{0,47,421},{127,7,421},{0,47,421},{19,0,421},{19,0,421},{19,0,421},{19,0,421},{12,56,0},{12,56,0},{12,56,0},{12,33,1},{0,38,5},{0,38,5},{23,106,842},{24,75,451},{25,61,650},
{23,56,446},{16,101,1514},{15,67,434},{16,58,2},{13,49,650},{0,64,1617},{0,50,462},{31,90,422},{30,71,1},{32,59,38},{29,56,74},{65,0,1514},{11,70,421},{16,58,2},{0,50,461},{127,3,1514},{0,50,461},{23,85,421},{23,85,421},{23,85,421},{23,53,422},{16,79,338},{16,58,2},{16,58,2},{15,42,38},{0,54,349},{3,43,2},{31,68,1},{31,68,1},{31,68,1},{30,50,1},{55,0,338},
{18,56,0},{18,56,0},{5,43,1},{112,0,338},{5,43,1},{75,0,421},{30,71,0},{36,58,1},{14,58,0},{75,0,421},{127,13,421},{14,58,0},{0,51,421},{127,13,421},{0,51,421},{23,0,421},{23,0,421},{23,0,421},{23,0,421},{16,60,0},{16,60,0},{16,60,0},{16,37,1},{3,43,1},{3,43,1},{27,110,842},{28,79,451},{30,64,650},{27,60,446},{20,105,1514},{19,71,434},{20,62,2},
{17,53,650},{0,70,1553},{1,54,450},{35,94,422},{34,75,1},{36,63,38},{33,60,74},{71,0,1514},{15,74,421},{20,62,2},{0,54,441},{127,9,1514},{0,54,441},{27,89,421},{27,89,421},{27,89,421},{27,57,422},{20,83,338},{20,62,2},{20,62,2},{19,46,38},{0,61,338},{7,47,2},{35,72,1},{35,72,1},{35,72,1},{34,54,1},{61,0,338},{22,60,0},{22,60,0},{9,47,1},{124,0,338},
{9,47,1},{81,0,421},{34,75,0},{40,62,1},{18,62,0},{81,0,421},{126,19,421},{18,62,0},{0,55,421},{126,19,421},{0,55,421},{27,0,421},{27,0,421},{27,0,421},{27,0,421},{20,64,0},{20,64,0},{20,64,0},{20,41,1},{7,47,1},{7,47,1},{31,114,842},{32,83,451},{33,67,650},{31,64,446},{24,109,1514},{23,75,434},{24,65,6},{21,57,650},{0,76,1521},{5,58,450},{39,98,422},
{38,79,1},{41,66,42},{37,63,81},{77,0,1514},{19,78,421},{25,65,2},{0,59,425},{127,15,1514},{0,59,425},{31,93,421},{31,93,421},{31,93,421},{31,61,422},{24,87,338},{24,64,5},{24,64,5},{23,50,38},{5,64,339},{11,51,2},{39,76,1},{39,76,1},{39,76,1},{38,58,1},{66,1,338},{25,64,1},{25,64,1},{13,51,1},{126,5,338},{13,51,1},{87,0,421},{38,79,0},{45,65,1},
{23,65,1},{87,0,421},{126,25,421},{23,65,1},{0,59,421},{126,25,421},{0,59,421},{31,0,421},{31,0,421},{31,0,421},{31,0,421},{24,67,0},{24,67,0},{24,67,0},{24,45,1},{11,51,1},{11,51,1},{36,118,842},{37,88,453},{38,72,646},{35,69,445},{29,112,1515},{27,79,438},{29,69,6},{25,61,654},{3,82,1515},{10,63,450},{43,103,421},{43,83,2},{45,70,41},{42,67,76},{83,1,1514},
{24,82,421},{29,69,5},{2,63,421},{126,22,1514},{2,63,421},{36,96,421},{36,96,421},{36,96,421},{36,65,421},{29,91,339},{29,69,2},{29,69,2},{27,54,41},{10,68,339},{15,56,1},{43,82,0},{43,82,0},{43,82,0},{43,62,0},{73,0,338},{31,67,1},{31,67,1},{16,56,0},{126,12,338},{16,56,0},{93,0,421},{42,84,0},{49,70,0},{26,70,0},{93,0,421},{126,32,421},{26,70,0},
{0,63,421},{126,32,421},{0,63,421},{36,0,421},{36,0,421},{36,0,421},{36,0,421},{29,71,1},{29,71,1},{29,71,1},{28,50,1},{15,56,1},{15,56,1},{40,122,842},{41,92,453},{42,76,646},{39,73,445},{33,116,1515},{31,83,438},{33,73,6},{30,64,650},{7,86,1515},{15,66,451},{47,107,421},{47,87,2},{49,74,41},{46,71,76},{89,1,1514},{28,86,421},{33,73,5},{5,67,421},{126,28,1514},
{5,67,421},{40,100,421},{40,100,421},{40,100,421},{40,69,421},{33,95,339},{33,73,2},{33,73,2},{31,58,41},{14,72,339},{19,60,1},{47,86,0},{47,86,0},{47,86,0},{47,66,0},{79,0,338},{35,71,1},{35,71,1},{20,60,0},{127,17,338},{20,60,0},{99,0,421},{46,88,0},{53,74,0},{30,74,0},{99,0,421},{126,38,421},{30,74,0},{0,67,421},{126,38,421},{0,67,421},{40,0,421},
{40,0,421},{40,0,421},{40,0,421},{33,75,1},{33,75,1},{33,75,1},{32,54,1},{19,60,1},{19,60,1},{44,126,842},{45,96,453},{46,80,646},{43,77,445},{37,120,1515},{35,87,438},{37,77,6},{34,68,650},{11,90,1515},{19,70,451},{51,111,421},{51,91,2},{53,78,41},{50,75,76},{95,1,1514},{32,90,421},{37,77,5},{9,71,421},{126,34,1514},{9,71,421},{44,104,421},{44,104,421},{44,104,421},
{44,73,421},{37,99,339},{37,77,2},{37,77,2},{35,62,41},{18,76,339},{23,64,1},{51,90,0},{51,90,0},{51,90,0},{51,70,0},{85,0,338},{39,75,1},{39,75,1},{23,64,1},{127,23,338},{23,64,1},{105,0,421},{50,92,0},{57,78,0},{34,78,0},{105,0,421},{126,44,421},{34,78,0},{0,71,421},{126,44,421},{0,71,421},{44,0,421},{44,0,421},{44,0,421},{44,0,421},{37,79,1},
{37,79,1},{37,79,1},{36,58,1},{23,64,0},{23,64,0},{48,126,854},{49,100,453},{50,84,646},{47,81,445},{41,124,1515},{39,91,438},{41,81,6},{38,72,650},{15,94,1515},{23,74,451},{55,115,421},{55,95,2},{57,82,41},{54,79,76},{101,1,1514},{36,94,421},{41,81,5},{13,75,421},{126,40,1514},{13,75,421},{48,108,421},{48,108,421},{48,108,421},{48,77,421},{41,103,339},{41,81,2},{41,81,2},
{40,65,42},{22,80,339},{27,68,1},{55,94,0},{55,94,0},{55,94,0},{55,74,0},{91,0,338},{43,79,1},{43,79,1},{29,67,1},{127,29,338},{29,67,1},{111,0,421},{54,96,0},{61,82,0},{38,82,0},{111,0,421},{127,49,421},{38,82,0},{0,75,421},{127,49,421},{0,75,421},{48,0,421},{48,0,421},{48,0,421},{48,0,421},{41,83,1},{41,83,1},{41,83,1},{40,62,1},{27,68,0},
{27,68,0},{53,127,886},{53,104,451},{54,88,650},{52,85,446},{46,126,1521},{44,96,434},{45,86,6},{43,77,646},{18,99,1515},{27,78,453},{60,119,422},{59,100,1},{62,87,42},{59,84,75},{108,0,1514},{40,99,421},{46,86,2},{18,79,421},{125,47,1514},{18,79,421},{52,114,421},{52,114,421},{52,114,421},{52,82,421},{45,108,338},{45,85,5},{45,85,5},{45,70,41},{26,85,339},{31,72,2},{60,97,1},
{60,97,1},{60,97,1},{60,78,1},{98,0,338},{48,83,1},{48,83,1},{33,72,0},{127,36,338},{33,72,0},{118,0,421},{59,100,0},{65,86,1},{44,86,1},{118,0,421},{127,56,421},{44,86,1},{0,79,421},{127,56,421},{0,79,421},{52,0,421},{52,0,421},{52,0,421},{52,0,421},{45,88,0},{45,88,0},{45,88,0},{45,66,0},{31,73,0},{31,73,0},{58,127,926},{57,108,451},{58,92,650},
{56,89,446},{51,126,1542},{48,100,434},{49,90,6},{47,81,646},{22,103,1515},{31,82,453},{63,125,422},{63,104,1},{64,91,41},{63,88,75},{114,0,1514},{44,103,421},{50,90,2},{22,83,421},{127,52,1514},{22,83,421},{56,118,421},{56,118,421},{56,118,421},{56,86,421},{49,112,338},{49,89,5},{49,89,5},{49,74,41},{30,89,339},{35,76,2},{63,103,1},{63,103,1},{63,103,1},{63,82,2},{104,0,338},
{52,87,1},{52,87,1},{37,76,0},{127,42,338},{37,76,0},{124,0,421},{63,104,0},{69,90,1},{48,90,1},{124,0,421},{127,62,421},{48,90,1},{0,83,421},{127,62,421},{0,83,421},{56,0,421},{56,0,421},{56,0,421},{56,0,421},{49,92,0},{49,92,0},{49,92,0},{49,70,0},{35,77,0},{35,77,0},{62,127,1010},{61,112,451},{62,96,650},{60,93,446},{56,127,1577},{52,104,434},{53,94,6},
{51,85,646},{26,107,1515},{35,86,453},{67,126,425},{67,107,1},{68,95,41},{65,92,77},{120,0,1514},{48,107,421},{54,94,2},{26,87,421},{127,58,1514},{26,87,421},{60,122,421},{60,122,421},{60,122,421},{60,90,421},{53,116,338},{53,93,5},{53,93,5},{53,78,41},{34,93,339},{39,80,2},{67,106,0},{67,106,0},{67,106,0},{67,86,0},{110,0,338},{56,91,1},{56,91,1},{41,80,0},{126,48,338},
{41,80,0},{127,5,421},{67,107,1},{73,94,1},{52,94,1},{127,5,421},{126,68,421},{52,94,1},{0,87,421},{126,68,421},{0,87,421},{60,0,421},{60,0,421},{60,0,421},{60,0,421},{53,96,0},{53,96,0},{53,96,0},{53,74,0},{39,81,0},{39,81,0},{68,127,1098},{64,117,450},{65,101,654},{64,97,446},{61,127,1626},{56,108,434},{57,98,6},{55,89,646},{30,111,1515},{39,90,453},{72,127,437},
{71,111,1},{72,99,41},{69,96,77},{126,0,1514},{52,111,421},{58,98,2},{30,91,421},{126,64,1514},{30,91,421},{64,125,421},{64,125,421},{64,125,421},{64,94,421},{57,120,338},{57,97,5},{57,97,5},{57,82,41},{38,97,339},{43,84,2},{71,110,0},{71,110,0},{71,110,0},{71,90,0},{115,1,338},{60,95,1},{60,95,1},{45,84,0},{126,54,338},{45,84,0},{127,18,421},{71,111,1},{77,98,1},
{56,98,1},{127,18,421},{126,74,421},{56,98,1},{0,91,421},{126,74,421},{0,91,421},{64,0,421},{64,0,421},{64,0,421},{64,0,421},{57,100,0},{57,100,0},{57,100,0},{57,78,0},{43,85,0},{43,85,0},{71,127,1214},{69,122,450},{70,106,650},{68,101,446},{66,127,1722},{60,112,438},{62,102,6},{59,93,650},{36,115,1515},{44,95,451},{78,126,470},{75,116,2},{77,104,38},{74,101,74},{127,11,1514},
{57,115,421},{62,102,5},{34,96,421},{126,71,1514},{34,96,421},{68,127,425},{68,127,425},{68,127,425},{68,98,422},{62,124,339},{62,102,2},{62,102,2},{61,86,42},{43,101,339},{48,89,1},{76,114,1},{76,114,1},{76,114,1},{75,95,1},{122,0,338},{63,101,1},{63,101,1},{50,88,1},{126,61,338},{50,88,1},{127,31,421},{75,116,1},{81,103,1},{59,103,0},{127,31,421},{127,80,421},{59,103,0},
{0,96,421},{127,80,421},{0,96,421},{68,0,421},{68,0,421},{68,0,421},{68,0,421},{62,104,1},{62,104,1},{62,104,1},{62,82,1},{48,89,0},{48,89,0},{77,127,1334},{73,126,450},{74,110,650},{72,105,446},{71,127,1805},{65,116,437},{65,107,2},{63,97,650},{40,119,1515},{48,99,451},{82,127,506},{79,120,2},{81,108,38},{78,105,74},{127,24,1514},{61,119,421},{65,107,2},{38,100,421},{125,77,1514},
{38,100,421},{73,126,441},{73,126,441},{73,126,441},{72,102,422},{65,127,340},{65,107,2},{65,107,2},{64,91,38},{47,105,339},{52,93,1},{80,118,1},{80,118,1},{80,118,1},{79,99,1},{127,2,338},{67,105,0},{67,105,0},{54,92,1},{127,66,338},{54,92,1},{127,43,421},{79,120,1},{85,107,1},{63,107,0},{127,43,421},{127,86,421},{63,107,0},{0,100,421},{127,86,421},{0,100,421},{72,0,421},
{72,0,421},{72,0,421},{72,0,421},{65,109,0},{65,109,0},{65,109,0},{65,86,1},{52,93,0},{52,93,0},{82,127,1470},{77,127,462},{78,114,650},{76,109,446},{77,127,1917},{69,120,437},{69,111,2},{66,102,650},{44,123,1515},{52,103,451},{88,127,562},{83,124,2},{85,112,38},{82,109,74},{127,36,1514},{65,122,421},{69,111,2},{42,104,421},{127,82,1514},{42,104,421},{77,127,461},{77,127,461},{77,127,461},
{76,106,422},{71,127,356},{69,111,2},{69,111,2},{68,95,38},{51,109,339},{56,97,1},{84,122,1},{84,122,1},{84,122,1},{83,103,1},{127,14,338},{71,109,0},{71,109,0},{58,96,1},{127,72,338},{58,96,1},{127,56,421},{83,124,1},{89,111,1},{67,111,0},{127,56,421},{127,92,421},{67,111,0},{0,104,421},{127,92,421},{0,104,421},{76,0,421},{76,0,421},{76,0,421},{76,0,421},{69,113,0},
{69,113,0},{69,113,0},{69,90,1},{56,97,0},{56,97,0},{85,127,1634},{82,127,530},{82,118,650},{80,113,446},{82,127,2030},{73,124,437},{73,115,2},{70,106,650},{48,127,1515},{56,107,451},{92,127,646},{87,127,6},{89,116,38},{86,113,74},{127,48,1514},{69,126,421},{73,115,2},{46,108,421},{127,88,1514},{46,108,421},{82,127,494},{82,127,494},{82,127,494},{80,110,422},{75,127,386},{73,115,2},{73,115,2},
{72,99,38},{55,113,339},{60,101,1},{88,126,1},{88,126,1},{88,126,1},{87,107,1},{127,27,338},{75,113,0},{75,113,0},{62,100,1},{126,78,338},{62,100,1},{127,67,421},{89,126,5},{93,115,1},{71,115,0},{127,67,421},{127,98,421},{71,115,0},{0,108,421},{127,98,421},{0,108,421},{80,0,421},{80,0,421},{80,0,421},{80,0,421},{73,117,0},{73,117,0},{73,117,0},{73,94,1},{60,101,0},
{60,101,0},{91,127,1838},{87,127,682},{86,122,654},{85,118,446},{88,127,2198},{78,127,450},{78,119,4},{74,110,654},{57,127,1557},{60,111,453},{97,127,741},{93,127,57},{93,120,41},{90,117,77},{127,62,1514},{76,127,446},{78,119,3},{51,112,421},{127,95,1514},{51,112,421},{86,127,554},{86,127,554},{86,127,554},{85,115,421},{80,127,435},{78,119,3},{78,119,3},{76,103,41},{59,118,339},{64,105,1},{93,126,8},
{93,126,8},{93,126,8},{92,111,0},{127,40,338},{80,117,0},{80,117,0},{65,105,0},{126,85,338},{65,105,0},{127,81,421},{96,127,29},{98,119,1},{76,119,1},{127,81,421},{126,105,421},{76,119,1},{0,112,421},{126,105,421},{0,112,421},{85,0,421},{85,0,421},{85,0,421},{85,0,421},{78,120,1},{78,120,1},{78,120,1},{77,99,1},{64,105,1},{64,105,1},{97,127,2070},{92,127,882},{90,126,654},
{89,122,446},{91,127,2382},{84,127,546},{82,123,4},{78,114,654},{64,127,1658},{62,116,453},{103,127,837},{99,127,161},{97,124,41},{94,121,77},{127,73,1514},{84,127,521},{82,123,3},{55,116,421},{127,101,1514},{55,116,421},{91,127,605},{91,127,605},{91,127,605},{89,119,421},{85,127,485},{82,123,3},{82,123,3},{80,107,41},{63,122,339},{68,109,1},{97,127,20},{97,127,20},{97,127,20},{96,115,0},{127,53,338},
{84,121,0},{84,121,0},{69,109,0},{126,91,338},{69,109,0},{127,93,421},{102,127,85},{102,123,1},{80,123,1},{127,93,421},{126,111,421},{80,123,1},{0,116,421},{126,111,421},{0,116,421},{89,0,421},{89,0,421},{89,0,421},{89,0,421},{82,124,1},{82,124,1},{82,124,1},{81,103,1},{68,109,1},{68,109,1},{100,127,2201},{96,127,1101},{95,127,686},{93,126,441},{97,127,2469},{87,127,689},{86,127,3},
{84,117,617},{73,127,1735},{67,120,421},{109,127,916},{104,127,298},{102,127,52},{98,125,68},{127,86,1459},{93,127,584},{86,127,2},{59,120,392},{127,107,1459},{59,120,392},{95,127,686},{95,127,686},{95,127,686},{93,123,421},{91,127,557},{86,127,3},{86,127,3},{84,111,41},{66,126,338},{72,113,1},{102,126,52},{102,126,52},{102,126,52},{100,119,0},{127,64,338},{88,125,0},{88,125,0},{73,113,0},{126,97,338},
{73,113,0},{127,105,392},{110,127,146},{106,127,0},{84,127,0},{127,105,392},{126,117,392},{84,127,0},{0,120,392},{126,117,392},{0,120,392},{93,0,421},{93,0,421},{93,0,421},{93,0,421},{86,127,2},{86,127,2},{86,127,2},{85,107,1},{72,113,1},{72,113,1},{103,127,1901},{101,127,1079},{100,127,761},{97,127,421},{100,127,2093},{93,127,537},{91,127,29},{87,120,357},{81,127,1425},{72,122,213},{111,127,638},
{108,127,244},{106,127,80},{103,126,17},{127,93,1064},{99,127,392},{93,127,4},{67,122,200},{126,111,1064},{67,122,200},{100,127,761},{100,127,761},{100,127,761},{97,127,421},{95,127,659},{91,127,29},{91,127,29},{88,115,41},{73,127,350},{76,117,1},{106,127,80},{106,127,80},{106,127,80},{104,123,0},{127,76,338},{93,127,4},{93,127,4},{77,117,0},{126,103,338},{77,117,0},{127,111,200},{116,127,74},{112,127,0},
{96,127,0},{127,111,200},{126,120,200},{96,127,0},{0,122,200},{126,120,200},{0,122,200},{97,0,421},{97,0,421},{97,0,421},{97,0,421},{91,127,13},{91,127,13},{91,127,13},{89,111,1},{76,117,1},{76,117,1},{109,127,1646},{106,127,1086},{104,127,881},{102,127,450},{106,127,1730},{99,127,474},{96,127,122},{93,123,158},{87,127,1166},{79,124,62},{114,127,446},{111,127,225},{111,127,125},{108,127,2},{127,102,722},
{105,127,254},{102,127,34},{76,124,61},{127,115,722},{76,124,61},{104,127,881},{104,127,881},{104,127,881},{102,127,450},{100,127,770},{96,127,122},{96,127,122},{93,120,38},{81,127,426},{81,121,2},{111,127,125},{111,127,125},{111,127,125},{108,127,2},{127,90,338},{102,127,34},{102,127,34},{83,121,1},{127,109,338},{83,121,1},{127,118,61},{119,127,25},{119,127,0},{110,127,0},{127,118,61},{126,123,61},{110,127,0},
{0,124,61},{126,123,61},{0,124,61},{101,0,421},{101,0,421},{101,0,421},{101,0,421},{95,127,40},{95,127,40},{95,127,40},{94,115,1},{81,121,1},{81,121,1},{111,127,1450},{111,127,1109},{109,127,974},{105,127,542},{111,127,1505},{102,127,514},{102,127,258},{98,125,66},{96,127,1026},{84,126,6},{120,127,342},{117,127,230},{117,127,181},{113,127,37},{127,110,509},{111,127,213},{108,127,90},{85,126,5},{126,119,509},
{85,126,5},{109,127,974},{109,127,974},{109,127,974},{105,127,542},{106,127,882},{102,127,258},{102,127,258},{97,124,38},{90,127,530},{85,125,2},{117,127,181},{117,127,181},{117,127,181},{113,127,37},{127,102,338},{108,127,90},{108,127,90},{87,125,1},{127,115,338},{87,125,1},{127,124,5},{125,127,1},{125,127,0},{122,127,0},{127,124,5},{126,126,5},{122,127,0},{0,126,5},{126,126,5},{0,126,5},{105,0,421},
{105,0,421},{105,0,421},{105,0,421},{100,127,65},{100,127,65},{100,127,65},{98,119,1},{85,125,1},{85,125,1},{114,127,1179},{114,127,971},{112,127,881},{111,127,545},{114,127,1170},{108,127,457},{107,127,305},{102,126,17},{102,127,793},{90,127,9},{121,127,209},{120,127,155},{120,127,130},{118,127,45},{127,116,294},{116,127,134},{113,127,85},{95,127,0},{126,122,294},{95,127,0},{112,127,881},{112,127,881},{112,127,881},
{111,127,545},{111,127,765},{107,127,305},{107,127,305},{102,126,13},{96,127,465},{90,127,9},{120,127,130},{120,127,130},{120,127,130},{118,127,45},{127,110,221},{113,127,85},{113,127,85},{95,127,0},{126,119,221},{95,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{109,0,421},{109,0,421},{109,0,421},{109,0,421},{106,127,113},
{106,127,113},{106,127,113},{102,123,1},{90,127,9},{90,127,9},{117,127,871},{117,127,751},{115,127,701},{113,127,502},{117,127,822},{111,127,364},{111,127,264},{106,127,1},{105,127,537},{99,127,41},{123,127,75},{123,127,59},{123,127,50},{121,127,17},{127,121,113},{119,127,54},{119,127,29},{107,127,0},{127,124,113},{107,127,0},{115,127,701},{115,127,701},{115,127,701},{113,127,502},{114,127,561},{111,127,264},{111,127,264},
{106,127,1},{102,127,329},{99,127,41},{123,127,50},{123,127,50},{123,127,50},{121,127,17},{127,116,85},{119,127,29},{119,127,29},{107,127,0},{126,122,85},{107,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{113,0,421},{113,0,421},{113,0,421},{113,0,421},{109,127,157},{109,127,157},{109,127,157},{106,127,1},{99,127,41},
{99,127,41},{0,59,882},{0,40,100},{0,30,4},{0,24,340},{0,39,1896},{0,25,1188},{0,23,590},{0,15,1444},{0,19,2040},{0,15,1544},{0,59,882},{0,40,100},{0,30,4},{0,24,340},{19,0,1896},{0,25,1188},{0,23,590},{0,15,1444},{39,0,1896},{0,15,1444},{0,27,0},{0,27,0},{0,27,0},{0,13,1},{0,13,162},{0,11,58},{0,11,58},{0,7,97},{0,5,179},{0,6,116},{0,27,0},
{0,27,0},{0,27,0},{0,13,1},{7,0,162},{0,11,58},{0,11,58},{0,7,97},{13,0,162},{0,7,97},{29,0,882},{0,40,100},{0,30,4},{0,24,340},{29,0,882},{59,0,882},{0,24,340},{0,19,884},{59,0,882},{0,19,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,71,882},{0,49,40},{1,34,12},
{0,30,260},{0,47,2355},{0,31,1332},{0,28,612},{0,18,1700},{0,22,2556},{0,18,1844},{0,71,882},{0,49,40},{1,34,8},{0,30,260},{23,0,2355},{0,31,1332},{0,28,612},{0,18,1700},{47,0,2355},{0,18,1700},{0,39,0},{0,39,0},{0,39,0},{0,19,0},{0,20,338},{0,14,130},{0,14,130},{0,10,205},{0,8,371},{0,9,244},{0,39,0},{0,39,0},{0,39,0},{0,19,0},{10,0,338},
{0,14,130},{0,14,130},{0,10,205},{20,0,338},{0,10,205},{35,0,882},{0,49,40},{3,34,0},{0,30,260},{35,0,882},{71,0,882},{0,30,260},{0,23,884},{71,0,882},{0,23,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,83,882},{0,55,8},{1,40,60},{0,33,200},{0,56,2899},{0,37,1508},{0,31,660},
{0,21,2004},{0,25,3176},{0,21,2200},{0,83,882},{0,55,8},{2,38,52},{0,33,200},{27,1,2899},{0,37,1508},{0,31,660},{0,21,2004},{56,0,2899},{0,21,2004},{0,52,0},{0,52,0},{0,52,0},{0,25,0},{0,26,578},{0,19,208},{0,19,208},{0,13,353},{0,11,635},{0,10,414},{0,52,0},{0,52,0},{0,52,0},{0,25,0},{13,0,578},{0,19,208},{0,19,208},{0,13,353},{26,0,578},
{0,13,353},{41,0,882},{0,55,8},{7,38,0},{0,33,200},{41,0,882},{83,0,882},{0,33,200},{0,27,884},{83,0,882},{0,27,884},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,91,902},{1,62,20},{3,44,133},{0,39,172},{0,66,3048},{0,43,1416},{0,37,488},{0,27,1944},{0,31,3460},{0,26,2254},{3,89,882},
{3,60,2},{5,44,68},{2,38,168},{33,0,3048},{0,43,1416},{0,37,488},{0,27,1944},{66,0,3048},{0,27,1944},{2,60,20},{2,60,20},{2,60,20},{2,30,20},{0,36,648},{0,28,160},{0,28,160},{0,15,340},{0,17,771},{0,15,440},{3,58,0},{3,58,0},{3,58,0},{3,30,0},{18,0,648},{0,28,160},{0,28,160},{0,15,340},{36,0,648},{0,15,340},{47,0,882},{1,62,0},{11,42,0},
{0,39,136},{47,0,882},{95,0,882},{0,39,136},{0,31,884},{95,0,882},{0,31,884},{1,0,20},{1,0,20},{1,0,20},{1,0,20},{0,9,0},{0,9,0},{0,9,0},{0,4,1},{0,3,8},{0,3,8},{4,101,995},{4,67,114},{6,48,283},{3,44,242},{0,80,3048},{0,51,1224},{0,43,267},{0,32,1794},{0,37,3651},{0,30,2195},{8,93,883},{7,65,2},{9,48,67},{6,42,171},{39,1,3048},
{0,51,1224},{0,43,267},{0,32,1794},{80,0,3048},{0,32,1794},{4,69,113},{4,69,113},{4,69,113},{4,36,113},{0,50,648},{0,34,74},{0,34,74},{0,21,250},{0,22,862},{0,19,434},{8,61,1},{8,61,1},{8,61,1},{8,34,1},{24,1,648},{0,34,74},{0,34,74},{0,21,250},{50,0,648},{0,21,250},{53,1,882},{6,65,1},{15,47,1},{0,44,89},{53,1,882},{109,0,882},{0,44,89},
{0,36,882},{109,0,882},{0,36,882},{4,0,113},{4,0,113},{4,0,113},{4,0,113},{0,23,0},{0,23,0},{0,23,0},{0,11,0},{0,8,41},{0,8,41},{6,109,1147},{6,72,274},{8,53,499},{5,47,367},{0,92,3048},{0,57,1096},{0,47,129},{0,36,1635},{0,43,3859},{0,34,2183},{12,97,883},{11,69,2},{13,52,67},{10,46,171},{45,1,3048},{0,57,1096},{0,47,129},{0,36,1635},{92,0,3048},
{0,36,1635},{6,77,265},{6,77,265},{6,77,265},{6,41,265},{0,62,648},{0,43,26},{0,43,26},{0,26,193},{0,28,990},{0,23,458},{12,65,1},{12,65,1},{12,65,1},{12,38,1},{30,1,648},{0,43,26},{0,43,26},{0,26,193},{62,0,648},{0,26,193},{59,1,882},{10,69,1},{19,51,1},{0,49,58},{59,1,882},{121,0,882},{0,49,58},{0,40,882},{121,0,882},{0,40,882},{6,0,265},
{6,0,265},{6,0,265},{6,0,265},{0,35,0},{0,35,0},{0,35,0},{0,17,0},{0,14,97},{0,14,97},{8,117,1363},{8,77,506},{10,58,795},{7,52,559},{0,104,3048},{0,63,1000},{0,53,41},{0,39,1523},{0,46,4095},{0,38,2195},{16,101,883},{15,73,2},{17,56,67},{14,50,171},{51,0,3048},{0,63,1000},{0,53,41},{0,39,1523},{104,0,3048},{0,39,1523},{8,85,481},{8,85,481},{8,85,481},
{8,46,481},{0,74,648},{0,49,2},{0,49,2},{0,30,130},{0,31,1146},{0,28,494},{16,69,1},{16,69,1},{16,69,1},{16,42,1},{36,1,648},{0,49,2},{0,49,2},{0,30,130},{74,0,648},{0,30,130},{65,0,882},{14,73,1},{23,55,1},{0,53,25},{65,0,882},{127,3,882},{0,53,25},{0,44,882},{127,3,882},{0,44,882},{8,0,481},{8,0,481},{8,0,481},{8,0,481},{0,47,0},
{0,47,0},{0,47,0},{0,23,0},{0,19,169},{0,19,169},{10,125,1643},{11,83,802},{13,61,1159},{9,56,826},{0,117,3048},{0,70,933},{0,58,11},{0,45,1395},{0,54,4321},{0,43,2227},{20,105,883},{19,77,2},{21,60,67},{18,54,171},{57,0,3048},{0,70,933},{0,58,11},{0,45,1395},{117,0,3048},{0,45,1395},{10,93,761},{10,93,761},{10,93,761},{10,51,761},{0,86,648},{0,56,4},{0,56,4},
{0,35,89},{0,37,1322},{0,31,578},{20,73,1},{20,73,1},{20,73,1},{20,46,1},{42,1,648},{3,54,0},{3,54,0},{0,35,89},{86,0,648},{0,35,89},{71,0,882},{18,77,1},{27,59,1},{0,58,10},{71,0,882},{127,9,882},{0,58,10},{0,48,882},{127,9,882},{0,48,882},{10,0,761},{10,0,761},{10,0,761},{10,0,761},{0,59,0},{0,59,0},{0,59,0},{0,29,0},{0,22,277},
{0,22,277},{14,126,1784},{14,89,929},{17,65,1329},{13,60,945},{3,124,3048},{2,75,910},{3,62,14},{0,50,1329},{0,60,4212},{0,47,1974},{24,110,882},{24,80,5},{27,64,70},{23,59,168},{63,2,3048},{0,77,893},{4,63,10},{0,50,1293},{126,2,3048},{0,50,1293},{14,99,884},{14,99,884},{14,99,884},{13,56,884},{3,94,648},{3,62,10},{3,62,10},{1,40,68},{0,46,1256},{0,37,428},{24,78,0},
{24,78,0},{24,78,0},{24,51,0},{49,0,648},{7,59,0},{7,59,0},{0,39,52},{100,0,648},{0,39,52},{78,0,882},{23,81,1},{32,63,0},{0,63,1},{78,0,882},{126,16,882},{0,63,1},{0,52,884},{126,16,882},{0,52,884},{13,0,884},{13,0,884},{13,0,884},{13,0,884},{3,66,0},{3,66,0},{3,66,0},{3,34,0},{0,31,232},{0,31,232},{19,126,1814},{18,93,929},{21,69,1329},
{17,65,942},{7,127,3051},{6,79,910},{7,66,14},{4,54,1329},{0,67,3975},{0,52,1640},{28,114,882},{28,84,5},{30,67,66},{27,63,168},{69,1,3048},{1,83,882},{9,66,10},{0,53,1205},{126,8,3048},{0,53,1205},{18,103,884},{18,103,884},{18,103,884},{17,60,884},{7,98,648},{8,65,9},{8,65,9},{5,44,68},{0,51,1059},{0,43,236},{28,82,0},{28,82,0},{28,82,0},{28,55,0},{55,0,648},
{11,63,0},{11,63,0},{0,45,20},{112,0,648},{0,45,20},{83,1,882},{27,85,1},{36,66,1},{4,66,1},{83,1,882},{126,22,882},{4,66,1},{0,56,884},{126,22,882},{0,56,884},{17,0,884},{17,0,884},{17,0,884},{17,0,884},{7,70,0},{7,70,0},{7,70,0},{7,38,0},{0,37,136},{0,37,136},{23,127,1854},{22,97,929},{25,73,1329},{21,69,942},{12,127,3064},{10,83,910},{11,70,14},
{8,58,1329},{0,73,3751},{0,57,1374},{32,118,882},{32,88,5},{34,71,66},{30,67,165},{75,1,3048},{5,87,882},{13,70,10},{0,59,1125},{126,14,3048},{0,59,1125},{22,107,884},{22,107,884},{22,107,884},{21,64,884},{11,102,648},{12,69,9},{12,69,9},{9,48,68},{0,57,923},{0,49,108},{32,86,0},{32,86,0},{32,86,0},{32,59,0},{61,0,648},{16,65,1},{16,65,1},{0,49,8},{124,0,648},
{0,49,8},{89,1,882},{31,89,1},{40,70,1},{8,70,1},{89,1,882},{126,28,882},{8,70,1},{0,60,884},{126,28,882},{0,60,884},{21,0,884},{21,0,884},{21,0,884},{21,0,884},{11,74,0},{11,74,0},{11,74,0},{11,42,0},{0,46,68},{0,46,68},{29,127,1934},{26,101,929},{29,77,1329},{25,73,942},{17,127,3091},{14,87,910},{15,74,14},{12,62,1329},{0,79,3559},{0,62,1174},{36,122,882},
{36,92,5},{38,75,66},{34,71,165},{81,0,3048},{9,91,882},{17,74,10},{0,62,1053},{126,20,3048},{0,62,1053},{26,111,884},{26,111,884},{26,111,884},{26,67,884},{15,106,648},{16,73,9},{16,73,9},{13,52,68},{0,64,810},{0,54,26},{36,90,0},{36,90,0},{36,90,0},{36,63,0},{66,1,648},{20,69,1},{20,69,1},{0,54,1},{126,5,648},{0,54,1},{95,1,882},{35,93,1},{44,74,1},
{12,74,1},{95,1,882},{126,34,882},{12,74,1},{0,64,882},{126,34,882},{0,64,882},{25,0,884},{25,0,884},{25,0,884},{25,0,884},{15,78,0},{15,78,0},{15,78,0},{15,46,0},{0,51,18},{0,51,18},{33,127,2036},{31,106,931},{33,81,1331},{29,77,942},{23,127,3145},{19,92,910},{19,79,14},{17,65,1329},{0,87,3375},{0,66,1021},{41,126,883},{40,98,2},{43,80,65},{39,76,166},{88,0,3048},
{14,95,882},{21,78,9},{0,66,996},{127,26,3048},{0,66,996},{30,116,882},{30,116,882},{30,116,882},{30,72,882},{20,109,649},{20,77,10},{20,77,10},{18,57,67},{0,70,729},{1,59,3},{41,94,1},{41,94,1},{41,94,1},{40,67,1},{73,0,648},{24,74,1},{24,74,1},{4,58,1},{126,12,648},{4,58,1},{102,0,882},{39,98,1},{48,79,0},{15,79,0},{102,0,882},{126,41,882},{15,79,0},
{0,68,884},{126,41,882},{0,68,884},{30,0,882},{30,0,882},{30,0,882},{30,0,882},{20,82,1},{20,82,1},{20,82,1},{19,51,1},{0,60,0},{0,60,0},{38,127,2134},{35,110,931},{37,85,1331},{33,81,942},{29,127,3217},{23,96,910},{23,83,14},{21,69,1329},{0,93,3247},{0,71,949},{45,127,891},{44,102,2},{47,84,65},{43,80,166},{94,0,3048},{18,99,882},{25,82,9},{0,72,948},{127,32,3048},
{0,72,948},{34,120,882},{34,120,882},{34,120,882},{34,76,882},{24,113,649},{24,81,10},{24,81,10},{22,61,67},{0,79,673},{5,63,3},{45,98,1},{45,98,1},{45,98,1},{44,71,1},{79,0,648},{28,78,1},{28,78,1},{8,62,1},{127,17,648},{8,62,1},{108,0,882},{43,102,1},{52,83,0},{19,83,0},{108,0,882},{125,47,882},{19,83,0},{0,72,884},{125,47,882},{0,72,884},{34,0,882},
{34,0,882},{34,0,882},{34,0,882},{24,86,1},{24,86,1},{24,86,1},{23,55,1},{3,64,1},{3,64,1},{42,127,2284},{39,114,931},{41,89,1331},{37,85,942},{33,127,3316},{27,100,910},{27,87,14},{25,73,1329},{0,99,3151},{1,76,929},{50,127,909},{48,106,2},{51,88,65},{47,84,166},{100,0,3048},{22,103,882},{29,86,9},{0,75,916},{127,38,3048},{0,75,916},{38,124,882},{38,124,882},{38,124,882},
{38,80,882},{28,117,649},{28,85,10},{28,85,10},{27,64,66},{0,85,649},{8,66,5},{49,102,1},{49,102,1},{49,102,1},{48,75,1},{85,0,648},{32,82,1},{32,82,1},{11,66,0},{127,23,648},{11,66,0},{114,0,882},{47,106,1},{56,87,0},{23,87,0},{114,0,882},{127,52,882},{23,87,0},{0,76,884},{127,52,882},{0,76,884},{38,0,882},{38,0,882},{38,0,882},{38,0,882},{28,90,1},
{28,90,1},{28,90,1},{27,59,1},{8,67,1},{8,67,1},{47,127,2414},{43,118,931},{45,93,1331},{41,89,942},{38,127,3409},{31,104,910},{31,91,14},{29,77,1329},{0,105,3087},{5,80,929},{55,127,939},{52,110,2},{55,92,65},{51,88,166},{106,0,3048},{26,107,882},{33,90,9},{0,80,893},{127,44,3048},{0,80,893},{42,127,883},{42,127,883},{42,127,883},{42,84,882},{32,121,649},{32,89,10},{32,89,10},
{31,68,66},{4,89,649},{12,70,5},{53,106,1},{53,106,1},{53,106,1},{52,79,1},{91,0,648},{36,86,1},{36,86,1},{15,70,0},{127,29,648},{15,70,0},{120,0,882},{51,110,1},{60,91,0},{27,91,0},{120,0,882},{127,58,882},{27,91,0},{0,80,884},{127,58,882},{0,80,884},{42,0,882},{42,0,882},{42,0,882},{42,0,882},{32,94,1},{32,94,1},{32,94,1},{31,63,1},{12,71,1},
{12,71,1},{52,127,2584},{47,122,929},{50,98,1329},{46,94,942},{44,127,3547},{35,108,910},{36,95,14},{34,82,1331},{0,112,3055},{9,84,931},{61,127,996},{57,113,5},{59,96,66},{55,92,165},{112,1,3048},{30,112,882},{38,95,10},{0,85,883},{126,51,3048},{0,85,883},{47,127,893},{47,127,893},{47,127,893},{47,88,884},{36,127,648},{37,94,9},{37,94,9},{35,72,65},{9,93,649},{17,75,2},{57,111,0},
{57,111,0},{57,111,0},{57,83,0},{98,0,648},{41,90,1},{41,90,1},{21,74,1},{127,36,648},{21,74,1},{127,0,882},{56,114,1},{64,96,1},{33,95,1},{127,0,882},{126,65,882},{33,95,1},{0,85,882},{126,65,882},{0,85,882},{46,0,884},{46,0,884},{46,0,884},{46,0,884},{36,99,0},{36,99,0},{36,99,0},{36,67,0},{17,75,1},{17,75,1},{58,127,2792},{51,126,929},{54,102,1329},
{50,98,942},{49,127,3672},{39,112,910},{40,99,14},{38,86,1331},{3,117,3049},{13,88,931},{65,127,1061},{61,117,5},{63,100,66},{59,96,165},{118,1,3048},{34,116,882},{42,99,10},{2,89,882},{126,57,3048},{2,89,882},{52,127,916},{52,127,916},{52,127,916},{51,92,884},{41,127,654},{41,98,9},{41,98,9},{39,76,65},{13,97,649},{21,79,2},{61,115,0},{61,115,0},{61,115,0},{61,87,0},{104,0,648},
{45,94,1},{45,94,1},{25,78,1},{127,42,648},{25,78,1},{127,11,882},{60,118,1},{68,100,1},{37,99,1},{127,11,882},{126,71,882},{37,99,1},{0,89,882},{126,71,882},{0,89,882},{50,0,884},{50,0,884},{50,0,884},{50,0,884},{40,103,0},{40,103,0},{40,103,0},{40,71,0},{21,79,1},{21,79,1},{61,127,2984},{55,127,949},{58,106,1329},{54,102,942},{55,127,3832},{43,116,910},{44,103,14},
{42,90,1331},{7,121,3049},{17,92,931},{71,127,1149},{64,122,3},{66,105,67},{63,100,165},{124,1,3048},{38,120,882},{46,103,10},{6,93,882},{126,63,3048},{6,93,882},{55,127,948},{55,127,948},{55,127,948},{55,96,884},{46,126,682},{45,102,9},{45,102,9},{43,80,65},{17,101,649},{25,83,2},{65,118,1},{65,118,1},{65,118,1},{65,91,1},{110,0,648},{49,98,1},{49,98,1},{29,82,1},{126,48,648},
{29,82,1},{127,24,882},{63,123,1},{72,104,1},{41,103,1},{127,24,882},{125,77,882},{41,103,1},{0,93,882},{125,77,882},{0,93,882},{54,0,884},{54,0,884},{54,0,884},{54,0,884},{44,107,0},{44,107,0},{44,107,0},{44,75,0},{25,83,1},{25,83,1},{65,127,3214},{61,127,1021},{62,110,1329},{58,106,942},{61,127,4024},{47,120,910},{48,107,14},{46,94,1331},{11,125,3049},{21,96,931},{74,127,1245},
{68,126,3},{70,109,67},{67,103,171},{127,7,3048},{42,124,882},{50,107,10},{10,97,882},{127,68,3048},{10,97,882},{61,127,996},{61,127,996},{61,127,996},{59,100,884},{50,127,714},{49,106,9},{49,106,9},{47,84,65},{21,105,649},{29,87,2},{69,122,1},{69,122,1},{69,122,1},{69,95,1},{115,1,648},{53,102,1},{53,102,1},{33,86,1},{126,54,648},{33,86,1},{127,36,882},{67,127,0},{76,108,1},
{45,107,1},{127,36,882},{127,82,882},{45,107,1},{0,97,882},{127,82,882},{0,97,882},{58,0,884},{58,0,884},{58,0,884},{58,0,884},{48,111,0},{48,111,0},{48,111,0},{48,79,0},{29,87,1},{29,87,1},{71,127,3494},{65,127,1174},{66,114,1320},{62,110,942},{65,127,4231},{52,125,910},{52,112,14},{50,98,1329},{19,127,3067},{26,101,929},{79,127,1364},{73,127,26},{75,114,68},{72,108,168},{127,21,3048},
{48,127,885},{54,111,9},{16,101,884},{127,75,3048},{16,101,884},{65,127,1053},{65,127,1053},{65,127,1053},{63,105,882},{56,127,769},{53,110,10},{53,110,10},{52,89,66},{25,110,649},{33,91,5},{73,126,1},{73,126,1},{73,126,1},{73,100,0},{122,0,648},{57,107,1},{57,107,1},{36,91,0},{126,61,648},{36,91,0},{127,50,882},{76,127,18},{81,112,0},{48,112,0},{127,50,882},{127,89,882},{48,112,0},
{0,101,884},{127,89,882},{0,101,884},{63,0,882},{63,0,882},{63,0,882},{63,0,882},{53,115,1},{53,115,1},{53,115,1},{53,83,1},{33,92,1},{33,92,1},{74,127,3782},{70,127,1374},{70,118,1320},{66,113,945},{71,127,4455},{57,127,926},{56,116,14},{54,102,1329},{25,127,3139},{30,105,929},{85,127,1476},{79,127,97},{79,118,68},{76,112,168},{127,33,3048},{57,127,925},{58,115,9},{20,105,884},{126,81,3048},
{20,105,884},{68,127,1125},{68,127,1125},{68,127,1125},{66,109,884},{61,127,827},{57,114,10},{57,114,10},{56,93,66},{29,114,649},{37,95,5},{78,126,8},{78,126,8},{78,126,8},{77,104,0},{127,2,648},{61,111,1},{61,111,1},{40,95,0},{127,66,648},{40,95,0},{127,62,882},{81,127,68},{85,116,0},{52,116,0},{127,62,882},{127,95,882},{52,116,0},{0,105,884},{127,95,882},{0,105,884},{66,0,884},
{66,0,884},{66,0,884},{66,0,884},{57,119,1},{57,119,1},{57,119,1},{57,87,1},{37,96,1},{37,96,1},{79,127,4024},{75,127,1640},{74,122,1320},{70,117,945},{74,127,4699},{63,127,1030},{60,120,14},{58,106,1329},{34,127,3259},{34,109,929},{91,127,1620},{84,127,236},{83,122,68},{80,116,168},{127,45,3048},{64,127,1003},{62,119,9},{24,109,884},{126,87,3048},{24,109,884},{74,127,1205},{74,127,1205},{74,127,1205},
{70,113,884},{65,127,910},{61,118,10},{61,118,10},{60,97,66},{33,118,649},{41,99,5},{82,127,20},{82,127,20},{82,127,20},{81,108,0},{127,14,648},{64,116,0},{64,116,0},{44,99,0},{127,72,648},{44,99,0},{127,73,882},{90,127,136},{89,120,0},{56,120,0},{127,73,882},{127,101,882},{56,120,0},{0,109,884},{127,101,882},{0,109,884},{70,0,884},{70,0,884},{70,0,884},{70,0,884},{61,123,1},
{61,123,1},{61,123,1},{61,91,1},{41,100,1},{41,100,1},{85,127,4328},{79,127,1925},{78,126,1320},{74,121,945},{79,127,4920},{67,127,1215},{64,123,14},{62,110,1329},{43,127,3435},{38,113,929},{94,127,1784},{90,127,428},{87,126,68},{84,120,168},{127,57,3048},{70,127,1131},{65,124,10},{28,113,884},{126,93,3048},{28,113,884},{77,127,1293},{77,127,1293},{77,127,1293},{74,117,884},{71,127,1006},{64,123,10},{64,123,10},
{63,100,70},{37,122,649},{45,103,5},{87,126,52},{87,126,52},{87,126,52},{85,112,0},{127,27,648},{68,120,0},{68,120,0},{48,103,0},{126,78,648},{48,103,0},{127,86,882},{96,127,232},{93,124,0},{60,124,0},{127,86,882},{127,107,882},{60,124,0},{0,113,884},{127,107,882},{0,113,884},{74,0,884},{74,0,884},{74,0,884},{74,0,884},{64,126,1},{64,126,1},{64,126,1},{64,95,0},{45,104,1},
{45,104,1},{88,127,4403},{84,127,2227},{82,127,1395},{78,125,922},{85,127,4875},{73,127,1326},{69,127,11},{65,115,1174},{54,127,3438},{44,116,802},{100,127,1746},{95,127,578},{92,127,89},{88,124,126},{127,69,2814},{79,127,1146},{71,127,4},{33,117,761},{126,99,2814},{33,117,761},{82,127,1395},{82,127,1395},{82,127,1395},{79,121,883},{77,127,1137},{69,127,11},{69,127,11},{67,106,67},{42,126,649},{50,108,2},{92,127,89},
{92,127,89},{92,127,89},{90,116,1},{127,40,648},{73,124,0},{73,124,0},{54,107,1},{126,85,648},{54,107,1},{127,96,761},{105,127,277},{98,127,0},{67,127,0},{127,96,761},{127,112,761},{67,127,0},{0,117,761},{127,112,761},{0,117,761},{79,0,882},{79,0,882},{79,0,882},{79,0,882},{69,127,10},{69,127,10},{69,127,10},{68,100,1},{50,108,1},{50,108,1},{94,127,3955},{89,127,2195},{88,127,1523},
{83,127,886},{91,127,4323},{79,127,1139},{74,127,41},{71,116,799},{60,127,2958},{49,118,506},{103,127,1386},{99,127,494},{97,127,130},{92,125,50},{127,76,2249},{87,127,870},{78,127,2},{42,119,481},{126,103,2249},{42,119,481},{88,127,1523},{88,127,1523},{88,127,1523},{83,125,883},{82,127,1251},{74,127,41},{74,127,41},{71,110,67},{48,127,670},{54,112,2},{97,127,130},{97,127,130},{97,127,130},{94,120,1},{127,53,648},
{78,127,2},{78,127,2},{58,111,1},{126,91,648},{58,111,1},{127,102,481},{108,127,169},{104,127,0},{79,127,0},{127,102,481},{127,115,481},{79,127,0},{0,119,481},{127,115,481},{0,119,481},{83,0,882},{83,0,882},{83,0,882},{83,0,882},{74,127,25},{74,127,25},{74,127,25},{72,104,1},{54,112,1},{54,112,1},{97,127,3571},{93,127,2183},{91,127,1635},{87,127,891},{94,127,3827},{84,127,1035},{79,127,114},
{74,119,499},{67,127,2577},{55,121,274},{106,127,1098},{102,127,458},{101,127,193},{97,126,9},{127,86,1769},{93,127,654},{84,127,26},{50,121,265},{127,107,1769},{50,121,265},{91,127,1635},{91,127,1635},{91,127,1635},{87,127,891},{85,127,1387},{79,127,114},{79,127,114},{75,114,67},{57,127,734},{58,116,2},{101,127,193},{101,127,193},{101,127,193},{98,124,1},{127,64,648},{84,127,26},{84,127,26},{62,115,1},{126,97,648},
{62,115,1},{127,108,265},{113,127,97},{110,127,0},{92,127,0},{127,108,265},{127,118,265},{92,127,0},{0,121,265},{127,118,265},{0,121,265},{87,0,882},{87,0,882},{87,0,882},{87,0,882},{79,127,50},{79,127,50},{79,127,50},{76,108,1},{58,116,1},{58,116,1},{100,127,3267},{97,127,2195},{95,127,1794},{92,127,954},{97,127,3435},{87,127,975},{84,127,267},{79,121,283},{73,127,2281},{60,123,114},{111,127,838},
{107,127,434},{106,127,250},{102,127,2},{127,93,1374},{99,127,502},{93,127,74},{58,123,113},{126,111,1374},{58,123,113},{95,127,1794},{95,127,1794},{95,127,1794},{92,127,954},{91,127,1539},{84,127,267},{84,127,267},{79,118,67},{64,127,840},{62,120,2},{106,127,250},{106,127,250},{106,127,250},{102,127,2},{127,76,648},{93,127,74},{93,127,74},{65,119,1},{126,103,648},{65,119,1},{127,115,113},{119,127,41},{116,127,0},
{104,127,0},{127,115,113},{127,121,113},{104,127,0},{0,123,113},{127,121,113},{0,123,113},{91,0,882},{91,0,882},{91,0,882},{91,0,882},{83,127,89},{83,127,89},{83,127,89},{80,112,1},{62,120,1},{62,120,1},{103,127,3032},{101,127,2254},{100,127,1944},{96,127,1080},{103,127,3096},{93,127,1012},{90,127,488},{83,124,133},{81,127,2104},{65,126,20},{114,127,666},{111,127,425},{111,127,325},{108,127,52},{127,102,1032},
{105,127,404},{99,127,160},{67,125,20},{127,115,1032},{67,125,20},{100,127,1944},{100,127,1944},{100,127,1944},{96,127,1080},{97,127,1736},{90,127,488},{90,127,488},{83,122,68},{73,127,1011},{67,124,2},{111,127,325},{111,127,325},{111,127,325},{108,127,52},{127,90,648},{99,127,160},{99,127,160},{69,124,0},{127,109,648},{69,124,0},{127,122,18},{124,127,8},{122,127,1},{118,127,0},{127,122,18},{126,125,18},{118,127,0},
{0,125,20},{126,125,18},{0,125,20},{95,0,884},{95,0,884},{95,0,884},{95,0,884},{88,127,136},{88,127,136},{88,127,136},{85,116,0},{65,126,0},{65,126,0},{109,127,2756},{106,127,2200},{103,127,2004},{102,127,1188},{106,127,2760},{96,127,1060},{96,127,660},{87,126,60},{87,127,1900},{72,127,8},{117,127,534},{117,127,414},{114,127,353},{111,127,104},{127,110,771},{108,127,352},{108,127,208},{75,127,0},{126,119,771},
{75,127,0},{103,127,2004},{103,127,2004},{103,127,2004},{102,127,1188},{100,127,1784},{96,127,660},{96,127,660},{89,125,52},{81,127,1112},{72,127,8},{114,127,353},{114,127,353},{114,127,353},{111,127,104},{127,101,578},{108,127,208},{108,127,208},{75,127,0},{127,114,578},{75,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{99,0,884},
{99,0,884},{99,0,884},{99,0,884},{94,127,200},{94,127,200},{94,127,200},{89,120,0},{72,127,8},{72,127,8},{111,127,2214},{109,127,1844},{109,127,1700},{105,127,1096},{109,127,2180},{102,127,900},{99,127,612},{93,126,12},{93,127,1468},{78,127,40},{120,127,306},{118,127,244},{117,127,205},{116,127,65},{127,113,451},{113,127,211},{111,127,125},{87,127,0},{127,120,451},{87,127,0},{109,127,1700},{109,127,1700},{109,127,1700},
{105,127,1096},{103,127,1460},{99,127,612},{99,127,612},{93,126,8},{87,127,872},{78,127,40},{117,127,205},{117,127,205},{117,127,205},{116,127,65},{127,107,338},{111,127,125},{111,127,125},{87,127,0},{127,117,338},{87,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{103,0,884},{103,0,884},{103,0,884},{103,0,884},{97,127,260},
{97,127,260},{97,127,260},{93,124,0},{78,127,40},{78,127,40},{114,127,1798},{111,127,1521},{111,127,1421},{108,127,1028},{111,127,1675},{105,127,792},{104,127,590},{97,127,4},{96,127,1128},{87,127,100},{123,127,150},{121,127,116},{120,127,97},{119,127,29},{127,118,216},{119,127,99},{116,127,58},{99,127,0},{126,123,216},{99,127,0},{111,127,1421},{111,127,1421},{111,127,1421},{108,127,1028},{109,127,1188},{104,127,590},{104,127,590},
{97,127,4},{93,127,696},{87,127,100},{120,127,97},{120,127,97},{120,127,97},{119,127,29},{127,113,162},{116,127,58},{116,127,58},{99,127,0},{127,120,162},{99,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{107,0,884},{107,0,884},{107,0,884},{107,0,884},{103,127,340},{103,127,340},{103,127,340},{97,127,4},{87,127,100},
{87,127,100},{0,78,1568},{0,54,170},{0,40,4},{0,33,596},{0,53,3371},{0,34,2124},{0,31,1048},{0,21,2552},{0,25,3628},{0,21,2748},{0,78,1568},{0,54,170},{0,40,4},{0,33,596},{26,0,3371},{0,34,2124},{0,31,1048},{0,21,2552},{53,0,3371},{0,21,2552},{0,36,0},{0,36,0},{0,36,0},{0,18,0},{0,18,288},{0,14,106},{0,14,106},{0,9,180},{0,8,315},{0,7,206},{0,36,0},
{0,36,0},{0,36,0},{0,18,0},{9,0,288},{0,14,106},{0,14,106},{0,9,180},{18,0,288},{0,9,180},{39,0,1568},{0,54,170},{0,40,4},{0,33,596},{39,0,1568},{78,0,1568},{0,33,596},{0,26,1568},{78,0,1568},{0,26,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,91,1568},{0,63,90},{0,45,8},
{0,39,500},{0,61,3968},{0,40,2316},{0,35,1078},{0,24,2880},{0,28,4304},{0,24,3136},{0,91,1568},{0,63,90},{1,44,8},{0,39,500},{30,0,3968},{0,40,2316},{0,35,1078},{0,24,2880},{61,0,3968},{0,24,2880},{0,48,0},{0,48,0},{0,48,0},{0,24,0},{0,24,512},{0,19,180},{0,19,180},{0,10,313},{0,11,563},{0,10,362},{0,48,0},{0,48,0},{0,48,0},{0,24,0},{12,0,512},
{0,19,180},{0,19,180},{0,10,313},{24,0,512},{0,10,313},{45,0,1568},{0,63,90},{2,44,0},{0,39,500},{45,0,1568},{91,0,1568},{0,39,500},{0,30,1568},{91,0,1568},{0,30,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,103,1568},{0,70,37},{1,49,48},{0,42,400},{0,68,4651},{0,46,2540},{0,40,1128},
{0,27,3256},{0,31,5084},{0,27,3580},{0,103,1568},{0,70,37},{1,49,44},{0,42,400},{33,1,4651},{0,46,2540},{0,40,1128},{0,27,3256},{68,0,4651},{0,27,3256},{0,61,0},{0,61,0},{0,61,0},{0,30,0},{0,30,800},{0,25,292},{0,25,292},{0,13,485},{0,14,883},{0,13,566},{0,61,0},{0,61,0},{0,61,0},{0,30,0},{15,0,800},{0,25,292},{0,25,292},{0,13,485},{30,0,800},
{0,13,485},{50,1,1568},{0,70,37},{6,48,0},{0,42,400},{50,1,1568},{103,0,1568},{0,42,400},{0,34,1568},{103,0,1568},{0,34,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,115,1568},{0,76,5},{1,54,145},{0,47,325},{0,77,5419},{0,51,2755},{0,43,1208},{0,30,3680},{0,34,5968},{0,30,4080},{0,115,1568},
{0,76,5},{3,53,121},{0,47,325},{38,0,5419},{0,51,2755},{0,43,1208},{0,30,3680},{77,0,5419},{0,30,3680},{0,72,0},{0,72,0},{0,72,0},{0,36,0},{0,36,1152},{0,28,424},{0,28,424},{0,18,720},{0,17,1275},{0,15,824},{0,72,0},{0,72,0},{0,72,0},{0,36,0},{18,0,1152},{0,28,424},{0,28,424},{0,18,720},{36,0,1152},{0,18,720},{56,1,1568},{0,76,5},{10,52,0},
{0,47,325},{56,1,1568},{115,0,1568},{0,47,325},{0,38,1568},{115,0,1568},{0,38,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,125,1609},{2,82,42},{5,58,254},{1,51,318},{0,91,5419},{0,57,2480},{0,49,835},{0,36,3427},{0,40,6191},{0,35,3991},{5,119,1569},{4,80,6},{8,58,122},{2,52,302},{45,0,5419},
{0,57,2480},{0,49,835},{0,36,3427},{91,0,5419},{0,36,3427},{2,82,41},{2,82,41},{2,82,41},{2,41,42},{0,50,1152},{0,37,274},{0,37,274},{0,21,586},{0,22,1366},{0,20,782},{5,76,1},{5,76,1},{5,76,1},{5,40,1},{24,1,1152},{0,37,274},{0,37,274},{0,21,586},{50,0,1152},{0,21,586},{63,0,1568},{2,82,1},{15,56,1},{0,53,245},{63,0,1568},{127,1,1568},{0,53,245},
{0,42,1570},{127,1,1568},{0,42,1570},{2,0,41},{2,0,41},{2,0,41},{2,0,41},{0,13,0},{0,13,0},{0,13,0},{0,7,0},{0,5,13},{0,5,13},{5,126,1735},{4,87,150},{7,63,426},{3,56,382},{0,103,5419},{0,64,2265},{0,54,557},{0,39,3243},{0,46,6415},{0,39,3919},{9,123,1569},{8,84,6},{12,62,122},{6,56,302},{50,1,5419},{0,64,2265},{0,54,557},{0,39,3243},{103,0,5419},
{0,39,3243},{4,90,145},{4,90,145},{4,90,145},{4,46,146},{0,62,1152},{0,43,170},{0,43,170},{0,27,482},{0,28,1494},{0,24,770},{9,80,1},{9,80,1},{9,80,1},{9,44,1},{30,1,1152},{0,43,170},{0,43,170},{0,27,482},{62,0,1152},{0,27,482},{69,0,1568},{6,86,1},{19,60,1},{0,56,181},{69,0,1568},{127,7,1568},{0,56,181},{0,46,1570},{127,7,1568},{0,46,1570},{4,0,145},
{4,0,145},{4,0,145},{4,0,145},{0,26,0},{0,26,0},{0,26,0},{0,13,0},{0,11,53},{0,11,53},{9,127,1991},{7,93,322},{9,66,678},{5,61,518},{0,115,5419},{0,70,2081},{0,60,341},{0,45,3035},{0,51,6641},{0,42,3891},{13,127,1569},{12,88,6},{15,66,122},{10,60,302},{56,1,5419},{0,70,2081},{0,60,341},{0,45,3035},{115,0,5419},{0,45,3035},{6,98,313},{6,98,313},{6,98,313},
{6,51,314},{0,74,1152},{0,51,80},{0,51,80},{0,30,394},{0,31,1650},{0,28,782},{13,84,1},{13,84,1},{13,84,1},{13,48,1},{36,1,1152},{0,51,80},{0,51,80},{0,30,394},{74,0,1152},{0,30,394},{75,0,1568},{10,90,1},{23,64,0},{0,62,125},{75,0,1568},{127,13,1568},{0,62,125},{0,50,1570},{127,13,1568},{0,50,1570},{6,0,313},{6,0,313},{6,0,313},{6,0,313},{0,38,0},
{0,38,0},{0,38,0},{0,18,1},{0,14,117},{0,14,117},{12,127,2387},{9,98,566},{11,71,1002},{7,64,721},{0,127,5419},{0,76,1929},{0,64,181},{0,50,2886},{0,57,6921},{0,47,3879},{17,127,1577},{16,92,6},{19,70,122},{13,64,309},{62,1,5419},{0,76,1929},{0,64,181},{0,50,2886},{127,0,5419},{0,50,2886},{8,106,545},{8,106,545},{8,106,545},{8,56,545},{0,86,1152},{0,57,32},{0,57,32},
{0,36,306},{0,37,1826},{0,34,822},{17,88,1},{17,88,1},{17,88,1},{17,52,1},{42,1,1152},{0,57,32},{0,57,32},{0,36,306},{86,0,1152},{0,36,306},{80,1,1568},{14,94,1},{27,68,0},{0,66,80},{80,1,1568},{126,19,1568},{0,66,80},{0,54,1570},{126,19,1568},{0,54,1570},{8,0,545},{8,0,545},{8,0,545},{8,0,545},{0,50,0},{0,50,0},{0,50,0},{0,24,1},{0,19,193},
{0,19,193},{15,127,3004},{11,106,925},{14,77,1461},{9,69,1030},{3,127,5520},{0,84,1769},{0,70,66},{0,53,2697},{0,63,7276},{0,51,3898},{23,127,1602},{21,97,5},{23,74,125},{19,67,306},{69,0,5419},{0,84,1769},{0,70,66},{0,53,2697},{127,7,5419},{0,53,2697},{11,114,884},{11,114,884},{11,114,884},{10,62,884},{0,100,1152},{0,65,5},{0,65,5},{0,42,232},{0,43,2064},{0,37,896},{21,93,0},
{21,93,0},{21,93,0},{21,57,0},{49,0,1152},{0,65,5},{0,65,5},{0,42,232},{100,0,1152},{0,42,232},{87,0,1568},{19,98,1},{31,73,1},{0,71,45},{87,0,1568},{126,26,1568},{0,71,45},{0,59,1568},{126,26,1568},{0,59,1568},{10,0,884},{10,0,884},{10,0,884},{10,0,884},{0,64,0},{0,64,0},{0,64,0},{0,31,0},{0,25,320},{0,25,320},{17,127,3702},{13,111,1317},{17,80,1945},
{11,74,1374},{6,127,5788},{0,90,1681},{0,75,18},{0,59,2537},{0,70,7631},{0,55,3952},{29,127,1650},{25,101,5},{27,78,125},{23,71,306},{75,0,5419},{0,90,1681},{0,75,18},{0,59,2537},{127,13,5419},{0,59,2537},{13,122,1252},{13,122,1252},{13,122,1252},{13,66,1252},{0,112,1152},{0,72,5},{0,72,5},{0,45,164},{0,51,2291},{0,43,992},{25,97,0},{25,97,0},{25,97,0},{25,61,0},{55,0,1152},
{3,70,1},{3,70,1},{0,45,164},{112,0,1152},{0,45,164},{93,0,1568},{23,102,1},{35,77,1},{0,75,18},{93,0,1568},{126,32,1568},{0,75,18},{0,63,1568},{126,32,1568},{0,63,1568},{12,0,1252},{12,0,1252},{12,0,1252},{12,0,1252},{0,75,0},{0,75,0},{0,75,0},{0,37,0},{0,31,464},{0,31,464},{23,127,4370},{16,114,1661},{19,85,2353},{14,77,1674},{12,127,6128},{0,99,1621},{2,80,18},
{0,62,2397},{0,73,7815},{0,60,3858},{32,127,1702},{29,105,5},{31,82,125},{27,75,306},{80,1,5419},{0,99,1617},{2,80,14},{0,62,2393},{126,19,5419},{0,62,2393},{15,127,1572},{15,127,1572},{15,127,1572},{15,71,1568},{1,122,1152},{1,79,17},{1,79,17},{0,50,121},{0,54,2403},{0,46,996},{29,101,0},{29,101,0},{29,101,0},{29,64,0},{61,0,1152},{7,74,1},{7,74,1},{0,50,117},{124,0,1152},
{0,50,117},{99,0,1568},{27,106,1},{39,81,1},{0,80,5},{99,0,1568},{126,38,1568},{0,80,5},{0,66,1570},{126,38,1568},{0,66,1570},{15,0,1568},{15,0,1568},{15,0,1568},{15,0,1568},{1,86,0},{1,86,0},{1,86,0},{1,43,0},{0,34,544},{0,34,544},{26,127,4586},{20,118,1661},{23,89,2353},{18,81,1674},{17,127,6275},{3,102,1617},{6,84,18},{1,67,2355},{0,81,7401},{0,64,3371},{38,127,1766},
{33,109,5},{35,86,125},{31,79,306},{86,1,5419},{0,105,1577},{6,84,14},{0,66,2259},{126,25,5419},{0,66,2259},{20,127,1585},{20,127,1585},{20,127,1585},{19,75,1568},{5,126,1152},{5,83,17},{5,83,17},{4,54,121},{0,60,2155},{0,51,682},{33,105,0},{33,105,0},{33,105,0},{33,68,0},{66,1,1152},{11,78,1},{11,78,1},{0,55,80},{126,5,1152},{0,55,80},{105,0,1568},{31,110,1},{43,85,1},
{0,84,1},{105,0,1568},{126,44,1568},{0,84,1},{0,70,1570},{126,44,1568},{0,70,1570},{19,0,1568},{19,0,1568},{19,0,1568},{19,0,1568},{5,90,0},{5,90,0},{5,90,0},{5,47,0},{0,43,388},{0,43,388},{32,127,4866},{25,123,1659},{27,93,2355},{23,86,1670},{23,127,6489},{8,107,1615},{10,88,18},{5,71,2353},{0,87,7039},{0,70,2897},{44,127,1865},{37,113,6},{40,91,122},{36,84,305},{93,0,5419},
{2,111,1569},{10,88,17},{0,72,2124},{126,32,5419},{0,72,2124},{24,127,1619},{24,127,1619},{24,127,1619},{24,79,1570},{10,127,1161},{10,88,14},{10,88,14},{8,58,122},{0,67,1905},{0,57,409},{38,109,1},{38,109,1},{38,109,1},{37,73,1},{73,0,1152},{15,83,1},{15,83,1},{0,59,41},{126,12,1152},{0,59,41},{112,0,1568},{35,115,1},{48,89,0},{4,89,0},{112,0,1568},{127,50,1568},{4,89,0},
{0,75,1568},{127,50,1568},{0,75,1568},{23,0,1570},{23,0,1570},{23,0,1570},{23,0,1570},{10,93,1},{10,93,1},{10,93,1},{10,51,1},{0,51,232},{0,51,232},{35,127,5154},{29,127,1659},{31,97,2355},{27,90,1670},{26,127,6689},{12,111,1615},{14,92,18},{9,75,2353},{0,93,6751},{0,74,2541},{49,127,1955},{41,117,6},{44,95,122},{40,88,305},{99,0,5419},{6,115,1569},{14,92,17},{0,75,2020},{126,38,5419},
{0,75,2020},{29,127,1650},{29,127,1650},{29,127,1650},{28,83,1570},{15,127,1179},{14,92,14},{14,92,14},{12,62,122},{0,76,1713},{0,63,225},{42,113,1},{42,113,1},{42,113,1},{41,77,1},{79,0,1152},{19,87,1},{19,87,1},{0,64,20},{127,17,1152},{0,64,20},{118,0,1568},{39,119,1},{52,93,0},{8,93,0},{118,0,1568},{127,56,1568},{8,93,0},{0,79,1568},{127,56,1568},{0,79,1568},{27,0,1570},
{27,0,1570},{27,0,1570},{27,0,1570},{14,97,1},{14,97,1},{14,97,1},{14,55,1},{0,57,136},{0,57,136},{41,127,5426},{33,127,1711},{35,101,2355},{31,94,1670},{32,127,6905},{16,115,1615},{18,96,18},{13,79,2353},{0,102,6483},{0,79,2241},{52,127,2075},{45,121,6},{48,99,122},{44,92,305},{105,0,5419},{10,119,1569},{18,96,17},{0,80,1929},{126,44,5419},{0,80,1929},{33,127,1707},{33,127,1707},{33,127,1707},
{32,87,1570},{20,127,1209},{18,96,14},{18,96,14},{15,66,125},{0,81,1526},{0,67,97},{46,117,1},{46,117,1},{46,117,1},{45,81,1},{85,0,1152},{23,91,1},{23,91,1},{0,69,4},{127,23,1152},{0,69,4},{124,0,1568},{43,123,1},{56,97,0},{12,97,0},{124,0,1568},{127,62,1568},{12,97,0},{0,83,1568},{127,62,1568},{0,83,1568},{31,0,1570},{31,0,1570},{31,0,1570},{31,0,1570},{18,101,1},
{18,101,1},{18,101,1},{18,59,1},{0,64,65},{0,64,65},{44,127,5762},{38,127,1811},{39,105,2355},{35,98,1670},{38,127,7153},{20,119,1615},{22,100,18},{17,83,2353},{0,108,6243},{0,83,2009},{58,127,2195},{49,125,6},{52,103,122},{48,96,305},{111,0,5419},{14,123,1569},{22,100,17},{0,85,1856},{127,49,5419},{0,85,1856},{38,127,1762},{38,127,1762},{38,127,1762},{36,91,1570},{26,127,1265},{22,100,14},{22,100,14},
{19,70,125},{0,87,1398},{0,73,25},{50,121,1},{50,121,1},{50,121,1},{49,85,1},{91,0,1152},{27,95,1},{27,95,1},{0,73,0},{127,29,1152},{0,73,0},{127,5,1568},{47,127,1},{60,101,0},{16,101,0},{127,5,1568},{126,68,1568},{16,101,0},{0,87,1568},{126,68,1568},{0,87,1568},{35,0,1570},{35,0,1570},{35,0,1570},{35,0,1570},{22,105,1},{22,105,1},{22,105,1},{22,63,1},{0,70,25},
{0,70,25},{52,127,6088},{43,127,2009},{44,110,2353},{39,102,1674},{44,127,7451},{24,123,1617},{27,105,18},{22,88,2355},{0,113,5999},{0,89,1811},{65,127,2385},{54,127,25},{56,107,125},{52,100,306},{118,0,5419},{19,127,1569},{27,105,14},{0,89,1762},{127,56,5419},{0,89,1762},{42,127,1856},{42,127,1856},{42,127,1856},{40,96,1568},{30,127,1344},{26,104,17},{26,104,17},{24,75,122},{0,96,1281},{1,78,6},{54,126,0},
{54,126,0},{54,126,0},{54,89,0},{98,0,1152},{32,99,1},{32,99,1},{6,77,1},{127,36,1152},{6,77,1},{127,19,1568},{54,127,25},{64,105,1},{21,105,1},{127,19,1568},{127,74,1568},{21,105,1},{0,91,1570},{127,74,1568},{0,91,1570},{40,0,1568},{40,0,1568},{40,0,1568},{40,0,1568},{26,111,0},{26,111,0},{26,111,0},{26,67,0},{0,79,1},{0,79,1},{55,127,6416},{48,127,2241},{48,114,2353},
{43,106,1674},{49,127,7696},{28,127,1617},{31,109,18},{26,92,2355},{0,122,5827},{0,94,1711},{68,127,2521},{60,127,97},{60,111,125},{56,104,306},{124,0,5419},{25,127,1601},{31,109,14},{0,94,1707},{127,62,5419},{0,94,1707},{47,127,1929},{47,127,1929},{47,127,1929},{44,100,1568},{35,127,1414},{30,108,17},{30,108,17},{28,79,122},{0,102,1209},{5,82,6},{58,127,4},{58,127,4},{58,127,4},{58,93,0},{104,0,1152},
{36,103,1},{36,103,1},{10,81,1},{127,42,1152},{10,81,1},{127,31,1568},{63,127,65},{68,109,1},{25,109,1},{127,31,1568},{127,80,1568},{25,109,1},{0,95,1570},{127,80,1568},{0,95,1570},{44,0,1568},{44,0,1568},{44,0,1568},{44,0,1568},{30,115,0},{30,115,0},{30,115,0},{30,71,0},{4,83,1},{4,83,1},{61,127,6800},{53,127,2541},{52,118,2353},{47,110,1674},{52,127,7996},{34,127,1665},{35,113,18},
{30,96,2355},{0,126,5709},{0,98,1659},{74,127,2705},{64,127,225},{65,115,122},{60,108,306},{127,5,5419},{34,127,1665},{35,113,14},{0,98,1650},{126,68,5419},{0,98,1650},{52,127,2020},{52,127,2020},{52,127,2020},{48,104,1568},{41,127,1510},{34,112,17},{34,112,17},{32,83,122},{0,108,1169},{9,86,6},{63,126,20},{63,126,20},{63,126,20},{62,97,0},{110,0,1152},{40,107,1},{40,107,1},{14,85,1},{126,48,1152},
{14,85,1},{127,43,1568},{70,127,136},{72,113,1},{29,113,1},{127,43,1568},{127,86,1568},{29,113,1},{0,99,1570},{127,86,1568},{0,99,1570},{48,0,1568},{48,0,1568},{48,0,1568},{48,0,1568},{34,119,0},{34,119,0},{34,119,0},{34,75,0},{8,87,1},{8,87,1},{65,127,7186},{57,127,2897},{56,122,2353},{51,114,1674},{58,127,8300},{40,127,1809},{39,117,18},{34,100,2355},{5,127,5791},{4,102,1659},{79,127,2875},
{70,127,409},{69,119,122},{63,114,310},{127,18,5419},{43,127,1777},{39,117,14},{0,103,1619},{126,74,5419},{0,103,1619},{55,127,2124},{55,127,2124},{55,127,2124},{52,108,1568},{44,127,1634},{38,116,17},{38,116,17},{36,87,122},{1,115,1153},{13,90,6},{68,127,41},{68,127,41},{68,127,41},{66,101,1},{115,1,1152},{44,111,1},{44,111,1},{18,89,1},{126,54,1152},{18,89,1},{127,56,1568},{76,127,232},{76,117,1},
{33,117,1},{127,56,1568},{127,92,1568},{33,117,1},{0,103,1570},{127,92,1568},{0,103,1570},{52,0,1568},{52,0,1568},{52,0,1568},{52,0,1568},{38,123,0},{38,123,0},{38,123,0},{38,79,0},{12,91,1},{12,91,1},{68,127,7650},{63,127,3371},{60,126,2355},{56,119,1670},{65,127,8695},{46,127,2083},{43,121,18},{38,104,2353},{14,127,6049},{6,107,1661},{82,127,3112},{76,127,682},{73,123,121},{67,117,305},{127,31,5419},
{51,127,1977},{43,121,17},{0,107,1585},{127,80,5419},{0,107,1585},{61,127,2259},{61,127,2259},{61,127,2259},{57,112,1570},{52,127,1755},{43,121,14},{43,121,14},{40,91,125},{6,119,1153},{18,94,5},{72,127,80},{72,127,80},{72,127,80},{70,106,0},{122,0,1152},{48,116,1},{48,116,1},{21,94,0},{126,61,1152},{21,94,0},{127,69,1568},{84,127,388},{80,122,0},{37,122,0},{127,69,1568},{126,99,1568},{37,122,0},
{0,108,1568},{126,99,1568},{0,108,1568},{56,0,1570},{56,0,1570},{56,0,1570},{56,0,1570},{43,126,1},{43,126,1},{43,126,1},{42,84,1},{16,96,1},{16,96,1},{74,127,8066},{67,127,3858},{65,127,2397},{60,123,1670},{68,127,9035},{51,127,2458},{47,125,18},{42,108,2353},{22,127,6379},{10,111,1661},{88,127,3320},{79,127,977},{77,127,121},{71,121,305},{127,43,5419},{60,127,2185},{47,125,17},{0,112,1572},{127,86,5419},
{0,112,1572},{65,127,2393},{65,127,2393},{65,127,2393},{61,116,1570},{55,127,1891},{47,125,14},{47,125,14},{44,95,125},{10,123,1153},{22,98,5},{77,127,117},{77,127,117},{77,127,117},{74,110,0},{127,2,1152},{52,120,1},{52,120,1},{25,98,0},{127,66,1152},{25,98,0},{127,81,1568},{93,127,544},{84,126,0},{41,126,0},{127,81,1568},{126,105,1568},{41,126,0},{0,112,1568},{126,105,1568},{0,112,1568},{60,0,1570},
{60,0,1570},{60,0,1570},{60,0,1570},{47,127,5},{47,127,5},{47,127,5},{46,88,1},{20,100,1},{20,100,1},{79,127,7660},{72,127,3952},{68,127,2537},{64,125,1620},{74,127,8515},{57,127,2310},{52,127,18},{47,110,1945},{28,127,5939},{16,114,1317},{91,127,2984},{84,127,992},{82,127,164},{76,123,201},{127,53,4803},{64,127,1931},{54,126,5},{5,114,1252},{126,91,4803},{5,114,1252},{68,127,2537},{68,127,2537},{68,127,2537},
{64,120,1569},{61,127,2043},{52,127,18},{52,127,18},{48,99,125},{14,127,1153},{26,102,5},{82,127,164},{82,127,164},{82,127,164},{78,114,0},{127,14,1152},{56,124,1},{56,124,1},{29,102,0},{127,72,1152},{29,102,0},{127,89,1250},{96,127,464},{90,127,0},{51,127,0},{127,89,1250},{125,109,1250},{51,127,0},{0,114,1252},{125,109,1250},{0,114,1252},{64,0,1568},{64,0,1568},{64,0,1568},{64,0,1568},{52,127,18},
{52,127,18},{52,127,18},{50,92,1},{24,104,1},{24,104,1},{82,127,7060},{76,127,3898},{74,127,2697},{68,126,1576},{79,127,7756},{60,127,2062},{57,127,66},{50,113,1461},{37,127,5307},{21,116,925},{97,127,2504},{90,127,896},{85,127,232},{80,125,96},{127,60,4056},{70,127,1563},{60,127,5},{13,116,884},{127,94,4056},{13,116,884},{74,127,2697},{74,127,2697},{74,127,2697},{68,124,1569},{65,127,2214},{57,127,66},{57,127,66},
{52,103,125},{22,127,1186},{30,106,5},{85,127,232},{85,127,232},{85,127,232},{82,118,0},{127,27,1152},{62,126,5},{62,126,5},{33,106,0},{126,78,1152},{33,106,0},{127,95,882},{102,127,320},{96,127,0},{63,127,0},{127,95,882},{127,111,882},{63,127,0},{0,116,884},{127,111,882},{0,116,884},{68,0,1568},{68,0,1568},{68,0,1568},{68,0,1568},{56,127,45},{56,127,45},{56,127,45},{54,96,1},{28,108,1},
{28,108,1},{85,127,6483},{79,127,3828},{79,127,2867},{73,127,1574},{82,127,6979},{67,127,1846},{63,127,181},{56,116,1002},{43,127,4714},{29,118,566},{100,127,2034},{93,127,822},{91,127,306},{86,125,26},{127,69,3318},{76,127,1233},{70,127,32},{20,119,545},{126,99,3318},{20,119,545},{79,127,2867},{79,127,2867},{79,127,2867},{73,127,1574},{71,127,2425},{63,127,181},{63,127,181},{57,108,122},{31,127,1273},{34,111,6},{91,127,306},
{91,127,306},{91,127,306},{87,122,1},{127,40,1152},{70,127,32},{70,127,32},{39,110,1},{126,85,1152},{39,110,1},{127,101,545},{108,127,193},{102,127,1},{76,127,0},{127,101,545},{127,114,545},{76,127,0},{0,119,545},{127,114,545},{0,119,545},{72,0,1570},{72,0,1570},{72,0,1570},{72,0,1570},{61,127,80},{61,127,80},{61,127,80},{59,100,0},{33,112,1},{33,112,1},{88,127,6059},{84,127,3891},{82,127,3035},
{76,127,1634},{85,127,6411},{70,127,1754},{67,127,341},{61,118,678},{51,127,4330},{34,120,322},{103,127,1698},{98,127,782},{97,127,394},{90,127,2},{127,76,2753},{84,127,1018},{76,127,80},{28,121,313},{126,103,2753},{28,121,313},{82,127,3035},{82,127,3035},{82,127,3035},{76,127,1634},{77,127,2641},{67,127,341},{67,127,341},{61,112,122},{37,127,1401},{38,115,6},{97,127,394},{97,127,394},{97,127,394},{91,126,1},{127,53,1152},
{76,127,80},{76,127,80},{43,114,1},{126,91,1152},{43,114,1},{127,107,313},{111,127,116},{108,127,1},{89,127,0},{127,107,313},{127,117,313},{89,127,0},{0,121,313},{127,117,313},{0,121,313},{76,0,1570},{76,0,1570},{76,0,1570},{76,0,1570},{65,127,125},{65,127,125},{65,127,125},{63,104,0},{37,116,1},{37,116,1},{94,127,5691},{88,127,3919},{88,127,3243},{81,127,1739},{88,127,5947},{76,127,1722},{73,127,557},
{64,120,426},{57,127,3994},{39,122,150},{106,127,1434},{102,127,770},{100,127,482},{95,127,17},{127,86,2273},{90,127,850},{84,127,170},{36,123,145},{127,107,2273},{36,123,145},{88,127,3243},{88,127,3243},{88,127,3243},{81,127,1739},{79,127,2835},{73,127,557},{73,127,557},{65,115,122},{46,127,1561},{42,119,6},{100,127,482},{100,127,482},{100,127,482},{95,127,17},{127,64,1152},{84,127,170},{84,127,170},{47,118,1},{126,97,1152},
{47,118,1},{127,113,145},{116,127,53},{114,127,0},{101,127,0},{127,113,145},{127,120,145},{101,127,0},{0,123,145},{127,120,145},{0,123,145},{80,0,1570},{80,0,1570},{80,0,1570},{80,0,1570},{71,127,181},{71,127,181},{71,127,181},{67,108,1},{41,120,1},{41,120,1},{97,127,5379},{92,127,3991},{91,127,3427},{87,127,1907},{94,127,5539},{79,127,1783},{79,127,822},{69,122,254},{64,127,3745},{44,125,42},{111,127,1210},
{106,127,782},{106,127,586},{99,127,82},{127,93,1878},{96,127,746},{90,127,274},{44,125,41},{126,111,1878},{44,125,41},{91,127,3427},{91,127,3427},{91,127,3427},{87,127,1907},{85,127,3051},{79,127,822},{79,127,822},{69,119,122},{54,127,1798},{46,123,6},{106,127,586},{106,127,586},{106,127,586},{99,127,82},{127,76,1152},{90,127,274},{90,127,274},{51,122,1},{126,103,1152},{51,122,1},{127,119,41},{122,127,13},{120,127,0},
{113,127,0},{127,119,41},{127,123,41},{113,127,0},{0,125,41},{127,123,41},{0,125,41},{84,0,1570},{84,0,1570},{84,0,1570},{84,0,1570},{74,127,245},{74,127,245},{74,127,245},{71,112,1},{45,124,1},{45,124,1},{100,127,5128},{97,127,4080},{97,127,3680},{90,127,2152},{97,127,5200},{87,127,1964},{84,127,1208},{73,126,145},{73,127,3580},{51,127,5},{114,127,1062},{111,127,797},{111,127,697},{105,127,212},{127,102,1536},
{102,127,708},{99,127,424},{54,127,0},{127,115,1536},{54,127,0},{97,127,3680},{97,127,3680},{97,127,3680},{90,127,2152},{91,127,3328},{84,127,1208},{84,127,1208},{74,124,121},{63,127,2089},{51,127,5},{111,127,697},{111,127,697},{111,127,697},{105,127,212},{127,90,1152},{99,127,424},{99,127,424},{54,127,0},{127,109,1152},{54,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},
{0,127,0},{127,127,0},{0,127,0},{89,0,1568},{89,0,1568},{89,0,1568},{89,0,1568},{79,127,320},{79,127,320},{79,127,320},{75,117,0},{51,127,5},{51,127,5},{103,127,4416},{100,127,3580},{100,127,3256},{96,127,2040},{100,127,4372},{90,127,1736},{87,127,1128},{79,126,57},{76,127,2956},{57,127,37},{117,127,738},{114,127,566},{114,127,485},{108,127,148},{127,107,1067},{108,127,484},{102,127,292},{66,127,0},{127,117,1067},
{66,127,0},{100,127,3256},{100,127,3256},{100,127,3256},{96,127,2040},{94,127,2852},{87,127,1128},{87,127,1128},{78,125,45},{70,127,1739},{57,127,37},{114,127,485},{114,127,485},{114,127,485},{108,127,148},{127,96,800},{102,127,292},{102,127,292},{66,127,0},{127,112,800},{66,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{93,0,1568},
{93,0,1568},{93,0,1568},{93,0,1568},{85,127,400},{85,127,400},{85,127,400},{79,121,0},{57,127,37},{57,127,37},{106,127,3784},{103,127,3136},{103,127,2880},{99,127,1924},{103,127,3648},{93,127,1564},{92,127,1078},{82,127,8},{81,127,2480},{64,127,90},{117,127,482},{117,127,362},{117,127,313},{113,127,97},{127,110,683},{111,127,321},{108,127,180},{78,127,0},{126,119,683},{78,127,0},{103,127,2880},{103,127,2880},{103,127,2880},
{99,127,1924},{97,127,2448},{92,127,1078},{92,127,1078},{83,126,8},{76,127,1451},{64,127,90},{117,127,313},{117,127,313},{117,127,313},{113,127,97},{127,102,512},{108,127,180},{108,127,180},{78,127,0},{127,115,512},{78,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{97,0,1568},{97,0,1568},{97,0,1568},{97,0,1568},{88,127,500},
{88,127,500},{88,127,500},{83,125,0},{64,127,90},{64,127,90},{109,127,3232},{106,127,2748},{106,127,2552},{102,127,1832},{106,127,3028},{99,127,1420},{96,127,1048},{87,127,4},{87,127,2032},{73,127,170},{120,127,262},{120,127,206},{118,127,180},{116,127,53},{127,115,384},{116,127,179},{113,127,106},{90,127,0},{127,121,384},{90,127,0},{106,127,2552},{106,127,2552},{106,127,2552},{102,127,1832},{103,127,2112},{96,127,1048},{96,127,1048},
{87,127,4},{81,127,1260},{73,127,170},{118,127,180},{118,127,180},{118,127,180},{116,127,53},{127,108,288},{113,127,106},{113,127,106},{90,127,0},{127,118,288},{90,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{101,0,1568},{101,0,1568},{101,0,1568},{101,0,1568},{94,127,596},{94,127,596},{94,127,596},{87,127,4},{73,127,170},
{73,127,170},{0,104,2665},{0,73,274},{0,53,4},{0,45,985},{0,69,5885},{0,46,3677},{0,41,1789},{0,27,4441},{0,31,6341},{0,27,4765},{0,104,2665},{0,73,274},{0,53,4},{0,45,985},{34,0,5885},{0,46,3677},{0,41,1789},{0,27,4441},{69,0,5885},{0,27,4441},{0,50,0},{0,50,0},{0,50,0},{0,24,1},{0,24,545},{0,19,193},{0,19,193},{0,12,337},{0,11,598},{0,10,387},{0,50,0},
{0,50,0},{0,50,0},{0,24,1},{12,0,545},{0,19,193},{0,19,193},{0,12,337},{24,0,545},{0,12,337},{51,0,2665},{0,73,274},{0,53,4},{0,45,985},{51,0,2665},{104,0,2665},{0,45,985},{0,35,2665},{104,0,2665},{0,35,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,117,2665},{0,81,160},{1,57,12},
{0,50,872},{0,78,6669},{0,51,3898},{0,46,1825},{0,33,4865},{0,34,7249},{0,30,5277},{0,117,2665},{0,81,160},{1,57,8},{0,50,872},{39,0,6669},{0,51,3898},{0,46,1825},{0,33,4865},{78,0,6669},{0,33,4865},{0,62,0},{0,62,0},{0,62,0},{0,30,1},{0,30,841},{0,25,305},{0,25,305},{0,13,514},{0,14,926},{0,13,595},{0,62,0},{0,62,0},{0,62,0},{0,30,1},{15,0,841},
{0,25,305},{0,25,305},{0,13,514},{30,0,841},{0,13,514},{57,0,2665},{0,81,160},{3,57,0},{0,50,872},{57,0,2665},{117,0,2665},{0,50,872},{0,39,2665},{117,0,2665},{0,39,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,127,2669},{0,87,80},{1,63,60},{0,53,740},{0,86,7538},{0,57,4178},{0,49,1889},
{0,36,5333},{0,40,8241},{0,33,5845},{0,127,2669},{0,87,80},{2,61,52},{0,53,740},{42,1,7538},{0,57,4178},{0,49,1889},{0,36,5333},{86,0,7538},{0,36,5333},{0,74,0},{0,74,0},{0,74,0},{0,36,1},{0,36,1201},{0,28,445},{0,28,445},{0,18,745},{0,17,1326},{0,15,861},{0,74,0},{0,74,0},{0,74,0},{0,36,1},{18,0,1201},{0,28,445},{0,28,445},{0,18,745},{36,0,1201},
{0,18,745},{63,0,2665},{0,87,80},{7,61,0},{0,53,740},{63,0,2665},{127,1,2665},{0,53,740},{0,43,2665},{127,1,2665},{0,43,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,127,2797},{0,93,32},{2,65,154},{0,59,628},{0,94,8493},{0,63,4490},{0,54,1965},{0,39,5849},{0,43,9333},{0,36,6469},{3,127,2761},
{0,93,32},{3,66,126},{0,59,628},{46,0,8493},{0,63,4490},{0,54,1965},{0,39,5849},{94,0,8493},{0,39,5849},{0,86,0},{0,86,0},{0,86,0},{0,42,1},{0,42,1625},{0,34,605},{0,34,605},{0,21,1009},{0,19,1781},{0,18,1161},{0,86,0},{0,86,0},{0,86,0},{0,42,1},{21,0,1625},{0,34,605},{0,34,605},{0,21,1009},{42,0,1625},{0,21,1009},{69,0,2665},{0,93,32},{11,64,1},
{0,59,628},{69,0,2665},{127,7,2665},{0,59,628},{0,47,2665},{127,7,2665},{0,47,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,127,3157},{0,102,2},{2,71,304},{0,62,514},{0,103,9669},{0,67,4865},{0,60,2107},{0,42,6485},{0,46,10689},{0,39,7245},{6,127,3029},{0,102,2},{5,71,260},{0,62,514},{50,1,9669},
{0,67,4865},{0,60,2107},{0,42,6485},{103,0,9669},{0,42,6485},{0,100,0},{0,100,0},{0,100,0},{0,49,0},{0,50,2178},{0,40,820},{0,40,820},{0,24,1348},{0,22,2392},{0,21,1556},{0,100,0},{0,100,0},{0,100,0},{0,49,0},{24,1,2178},{0,40,820},{0,40,820},{0,24,1348},{50,0,2178},{0,24,1348},{76,0,2665},{0,102,2},{15,69,0},{0,62,514},{76,0,2665},{126,14,2665},{0,62,514},
{0,51,2665},{126,14,2665},{0,51,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{6,127,3509},{2,108,32},{4,76,424},{1,67,473},{0,115,9669},{0,73,4529},{0,64,1649},{0,45,6209},{0,51,10919},{0,45,7109},{12,127,3141},{4,106,2},{9,75,260},{1,67,469},{56,1,9669},{0,73,4529},{0,64,1649},{0,45,6209},{115,0,9669},
{0,45,6209},{2,108,32},{2,108,32},{2,108,32},{2,54,32},{0,62,2178},{0,46,628},{0,46,628},{0,27,1184},{0,28,2520},{0,26,1502},{4,104,0},{4,104,0},{4,104,0},{4,53,0},{30,1,2178},{0,46,628},{0,46,628},{0,27,1184},{62,0,2178},{0,27,1184},{81,0,2665},{2,108,0},{19,73,0},{0,66,421},{81,0,2665},{126,20,2665},{0,66,421},{0,55,2665},{126,20,2665},{0,55,2665},{2,0,32},
{2,0,32},{2,0,32},{2,0,32},{0,12,0},{0,12,0},{0,12,0},{0,6,0},{0,5,10},{0,5,10},{12,127,3989},{4,114,130},{7,79,616},{3,72,525},{0,127,9669},{0,81,4178},{0,67,1265},{0,50,5950},{0,57,11199},{0,49,7029},{17,127,3253},{8,110,2},{13,79,260},{5,71,469},{62,1,9669},{0,81,4178},{0,67,1265},{0,50,5950},{127,0,9669},{0,50,5950},{4,116,128},{4,116,128},{4,116,128},
{4,59,128},{0,74,2178},{0,54,442},{0,54,442},{0,33,1040},{0,31,2676},{0,30,1460},{8,108,0},{8,108,0},{8,108,0},{8,57,0},{36,1,2178},{0,54,442},{0,54,442},{0,33,1040},{74,0,2178},{0,33,1040},{87,0,2665},{6,112,0},{23,77,0},{0,72,325},{87,0,2665},{126,26,2665},{0,72,325},{0,59,2665},{126,26,2665},{0,59,2665},{4,0,128},{4,0,128},{4,0,128},{4,0,128},{0,24,0},
{0,24,0},{0,24,0},{0,12,0},{0,8,50},{0,8,50},{15,127,4613},{6,118,304},{9,84,880},{4,76,645},{3,127,9761},{0,87,3898},{0,73,913},{0,56,5686},{0,63,11511},{0,53,6939},{20,127,3401},{12,114,2},{17,83,260},{9,75,469},{68,0,9669},{0,87,3898},{0,73,913},{0,56,5686},{127,6,9669},{0,56,5686},{6,124,288},{6,124,288},{6,124,288},{6,63,289},{0,86,2178},{0,60,306},{0,60,306},
{0,36,900},{0,37,2852},{0,34,1452},{12,112,0},{12,112,0},{12,112,0},{12,61,0},{42,1,2178},{0,60,306},{0,60,306},{0,36,900},{86,0,2178},{0,36,900},{93,0,2665},{10,116,0},{27,81,0},{0,77,260},{93,0,2665},{126,32,2665},{0,77,260},{0,63,2665},{126,32,2665},{0,63,2665},{6,0,288},{6,0,288},{6,0,288},{6,0,288},{0,36,0},{0,36,0},{0,36,0},{0,18,0},{0,14,106},
{0,14,106},{17,127,5446},{9,124,575},{12,90,1267},{8,80,862},{7,127,10073},{0,96,3625},{0,79,594},{0,59,5393},{0,70,11905},{0,57,6894},{26,127,3570},{16,119,3},{21,87,259},{14,80,470},{75,0,9669},{0,96,3625},{0,79,594},{0,59,5393},{127,13,9669},{0,59,5393},{9,127,558},{9,127,558},{9,127,558},{8,69,545},{0,100,2178},{0,67,185},{0,67,185},{0,42,754},{0,43,3090},{0,38,1478},{17,115,1},
{17,115,1},{17,115,1},{16,65,1},{49,0,2178},{0,67,185},{0,67,185},{0,42,754},{100,0,2178},{0,42,754},{100,0,2665},{15,120,0},{32,85,1},{0,82,193},{100,0,2665},{127,38,2665},{0,82,193},{0,67,2665},{127,38,2665},{0,67,2665},{8,0,545},{8,0,545},{8,0,545},{8,0,545},{0,50,0},{0,50,0},{0,50,0},{0,24,1},{0,19,193},{0,19,193},{20,127,6378},{12,127,915},{15,93,1695},
{9,84,1118},{12,127,10506},{0,102,3401},{0,84,366},{0,65,5186},{0,76,12289},{0,61,6870},{32,127,3738},{20,123,3},{25,91,259},{18,84,470},{80,1,9669},{0,102,3401},{0,84,366},{0,65,5186},{126,19,9669},{0,65,5186},{12,127,914},{12,127,914},{12,127,914},{10,74,841},{0,112,2178},{0,76,97},{0,76,97},{0,45,650},{0,51,3317},{0,43,1514},{21,119,1},{21,119,1},{21,119,1},{20,69,1},{55,0,2178},
{0,76,97},{0,76,97},{0,45,650},{112,0,2178},{0,45,650},{106,0,2665},{19,124,0},{36,89,1},{0,86,130},{106,0,2665},{127,44,2665},{0,86,130},{0,71,2665},{127,44,2665},{0,71,2665},{10,0,841},{10,0,841},{10,0,841},{10,0,841},{0,62,0},{0,62,0},{0,62,0},{0,30,1},{0,25,305},{0,25,305},{23,127,7454},{15,127,1431},{17,97,2214},{11,89,1438},{15,127,11102},{0,108,3209},{0,90,198},
{0,69,4913},{0,81,12639},{0,65,6875},{38,127,3938},{24,127,3},{29,95,259},{22,88,470},{86,1,9669},{0,108,3209},{0,90,198},{0,69,4913},{126,25,9669},{0,69,4913},{15,127,1382},{15,127,1382},{15,127,1382},{12,79,1201},{0,124,2178},{0,84,37},{0,84,37},{0,50,549},{0,54,3565},{0,46,1598},{25,123,1},{25,123,1},{25,123,1},{24,73,1},{61,0,2178},{0,84,37},{0,84,37},{0,50,549},{124,0,2178},
{0,50,549},{112,0,2665},{24,127,2},{40,93,1},{0,91,89},{112,0,2665},{127,50,2665},{0,91,89},{0,75,2665},{127,50,2665},{0,75,2665},{12,0,1201},{12,0,1201},{12,0,1201},{12,0,1201},{0,74,0},{0,74,0},{0,74,0},{0,36,1},{0,28,445},{0,28,445},{26,127,8674},{18,127,2131},{19,102,2786},{13,93,1839},{17,127,11833},{0,113,3038},{0,95,86},{0,72,4685},{0,84,13079},{0,70,6909},{41,127,4130},
{30,127,35},{33,99,259},{26,92,470},{92,1,9669},{0,113,3038},{0,95,86},{0,72,4685},{126,31,9669},{0,72,4685},{17,127,1941},{17,127,1941},{17,127,1941},{14,84,1625},{3,127,2222},{0,90,5},{0,90,5},{0,56,445},{0,60,3861},{0,51,1674},{29,127,1},{29,127,1},{29,127,1},{28,77,1},{66,1,2178},{0,90,5},{0,90,5},{0,56,445},{126,5,2178},{0,56,445},{118,0,2665},{31,127,20},{44,97,1},
{0,95,50},{118,0,2665},{127,56,2665},{0,95,50},{0,79,2665},{127,56,2665},{0,79,2665},{14,0,1625},{14,0,1625},{14,0,1625},{14,0,1625},{0,86,0},{0,86,0},{0,86,0},{0,42,1},{0,34,605},{0,34,605},{32,127,10209},{21,127,3140},{22,108,3525},{15,98,2360},{20,127,12902},{0,122,2885},{0,101,21},{0,78,4450},{0,93,13598},{0,73,6982},{47,127,4373},{34,127,134},{38,104,260},{30,96,469},{99,0,9669},
{0,122,2885},{0,101,21},{0,78,4450},{126,38,9669},{0,78,4450},{20,127,2717},{20,127,2717},{20,127,2717},{16,90,2180},{6,127,2420},{0,98,1},{0,98,1},{0,62,353},{0,64,4230},{0,57,1814},{34,126,13},{34,126,13},{34,126,13},{33,81,1},{73,0,2178},{2,96,1},{2,96,1},{0,62,353},{126,12,2178},{0,62,353},{125,0,2665},{40,127,74},{48,102,0},{0,101,20},{125,0,2665},{126,63,2665},{0,101,20},
{0,84,2665},{126,63,2665},{0,84,2665},{16,0,2180},{16,0,2180},{16,0,2180},{16,0,2180},{0,100,0},{0,100,0},{0,100,0},{0,49,0},{0,40,820},{0,40,820},{35,127,11582},{25,127,4131},{25,111,4166},{17,103,2825},{26,127,13903},{1,126,2826},{1,105,18},{0,83,4290},{0,96,13969},{0,79,6967},{52,127,4577},{40,127,270},{42,108,260},{34,100,469},{105,0,9669},{1,126,2825},{1,105,17},{0,83,4289},{126,44,9669},
{0,83,4289},{23,127,3434},{23,127,3434},{23,127,3434},{19,94,2666},{9,127,2709},{1,105,14},{1,105,14},{0,66,275},{0,70,4491},{0,60,1893},{38,127,29},{38,127,29},{38,127,29},{37,85,1},{79,0,2178},{6,100,1},{6,100,1},{0,66,274},{127,17,2178},{0,66,274},{127,7,2665},{46,127,146},{52,106,0},{0,105,8},{127,7,2665},{127,68,2665},{0,105,8},{0,88,2665},{127,68,2665},{0,88,2665},{19,0,2665},
{19,0,2665},{19,0,2665},{19,0,2665},{1,110,1},{1,110,1},{1,110,1},{0,55,1},{0,43,985},{0,43,985},{38,127,12090},{30,127,4561},{29,115,4166},{21,107,2825},{29,127,14311},{5,127,2910},{5,109,18},{0,86,4166},{0,105,13477},{0,84,6285},{58,127,4833},{46,127,470},{46,112,260},{38,104,469},{111,0,9669},{5,127,2909},{5,109,17},{0,86,4085},{127,49,9669},{0,86,4085},{26,127,3590},{26,127,3590},{26,127,3590},
{23,98,2666},{12,127,2853},{5,109,14},{5,109,14},{3,69,259},{0,76,4147},{0,64,1475},{44,127,61},{44,127,61},{44,127,61},{41,89,1},{85,0,2178},{10,104,1},{10,104,1},{0,69,202},{127,23,2178},{0,69,202},{127,19,2665},{54,127,260},{56,110,0},{0,110,0},{127,19,2665},{127,74,2665},{0,110,0},{0,92,2665},{127,74,2665},{0,92,2665},{23,0,2665},{23,0,2665},{23,0,2665},{23,0,2665},{5,114,1},
{5,114,1},{5,114,1},{4,59,1},{0,51,745},{0,51,745},{44,127,12610},{34,127,5039},{33,119,4166},{25,111,2825},{35,127,14719},{11,127,3118},{9,113,18},{4,90,4166},{0,113,13003},{0,87,5661},{61,127,5093},{51,127,736},{50,116,260},{42,108,469},{117,0,9669},{14,127,3073},{9,113,17},{0,89,3929},{127,55,9669},{0,89,3929},{32,127,3726},{32,127,3726},{32,127,3726},{27,102,2666},{17,127,2979},{9,113,14},{9,113,14},
{7,73,259},{0,84,3784},{0,70,1091},{47,127,97},{47,127,97},{47,127,97},{45,93,1},{91,0,2178},{14,108,1},{14,108,1},{0,75,146},{127,29,2178},{0,75,146},{127,31,2665},{60,127,388},{60,114,0},{3,114,0},{127,31,2665},{127,80,2665},{3,114,0},{0,96,2665},{127,80,2665},{0,96,2665},{27,0,2665},{27,0,2665},{27,0,2665},{27,0,2665},{9,118,1},{9,118,1},{9,118,1},{8,63,1},{0,60,565},
{0,60,565},{49,127,13154},{40,127,5661},{37,123,4166},{30,116,2823},{41,127,15213},{16,127,3497},{14,118,18},{8,94,4166},{0,116,12489},{0,93,5039},{68,127,5409},{57,127,1091},{54,120,259},{47,113,470},{124,0,9669},{22,127,3341},{14,118,14},{0,95,3726},{127,62,9669},{0,95,3726},{38,127,3929},{38,127,3929},{38,127,3929},{31,107,2665},{23,127,3156},{13,117,17},{13,117,17},{11,77,260},{0,90,3467},{0,76,736},{52,127,146},
{52,127,146},{52,127,146},{49,98,1},{98,0,2178},{19,112,1},{19,112,1},{0,80,97},{127,36,2178},{0,80,97},{127,45,2665},{67,127,565},{64,119,1},{9,118,1},{127,45,2665},{126,87,2665},{9,118,1},{0,100,2665},{126,87,2665},{0,100,2665},{31,0,2665},{31,0,2665},{31,0,2665},{31,0,2665},{13,123,0},{13,123,0},{13,123,0},{13,67,0},{0,67,388},{0,67,388},{52,127,13734},{43,127,6285},{41,127,4166},
{34,120,2823},{47,127,15677},{22,127,3905},{18,122,18},{12,98,4166},{0,125,12093},{0,97,4561},{71,127,5701},{60,127,1475},{58,124,259},{51,117,470},{127,5,9669},{31,127,3601},{18,122,14},{0,101,3590},{126,68,9669},{0,101,3590},{41,127,4085},{41,127,4085},{41,127,4085},{35,111,2665},{29,127,3332},{17,121,17},{17,121,17},{15,81,260},{0,99,3211},{0,81,470},{58,127,202},{58,127,202},{58,127,202},{53,102,1},{104,0,2178},
{23,116,1},{23,116,1},{0,83,61},{127,42,2178},{0,83,61},{127,57,2665},{76,127,745},{68,123,1},{13,122,1},{127,57,2665},{126,93,2665},{13,122,1},{0,104,2665},{126,93,2665},{0,104,2665},{35,0,2665},{35,0,2665},{35,0,2665},{35,0,2665},{17,127,0},{17,127,0},{17,127,0},{17,71,0},{0,73,260},{0,73,260},{58,127,14302},{48,127,6967},{44,127,4290},{38,124,2823},{52,127,16094},{28,127,4409},{22,126,18},
{16,102,4166},{0,126,11883},{0,102,4131},{77,127,6005},{67,127,1893},{61,127,275},{55,121,470},{127,18,9669},{40,127,3909},{22,126,14},{0,104,3434},{126,74,9669},{0,104,3434},{44,127,4289},{44,127,4289},{44,127,4289},{39,115,2665},{35,127,3540},{21,125,17},{21,125,17},{19,85,260},{0,105,2979},{0,87,270},{61,127,274},{61,127,274},{61,127,274},{57,106,1},{110,0,2178},{27,120,1},{27,120,1},{0,89,29},{126,48,2178},
{0,89,29},{127,69,2665},{81,127,985},{72,127,1},{17,126,1},{127,69,2665},{126,99,2665},{17,126,1},{0,108,2665},{126,99,2665},{0,108,2665},{39,0,2665},{39,0,2665},{39,0,2665},{39,0,2665},{22,126,8},{22,126,8},{22,126,8},{21,75,0},{0,81,146},{0,81,146},{61,127,13635},{53,127,6982},{49,127,4450},{42,125,2742},{55,127,15195},{34,127,4106},{26,127,21},{19,105,3525},{2,127,10776},{0,106,3140},{79,127,5396},
{70,127,1814},{65,127,353},{59,122,321},{127,27,8712},{46,127,3462},{29,127,1},{0,107,2717},{126,78,8712},{0,107,2717},{49,127,4450},{49,127,4450},{49,127,4450},{43,119,2665},{38,127,3736},{26,127,21},{26,127,21},{23,89,260},{0,113,2772},{0,93,134},{65,127,353},{65,127,353},{65,127,353},{61,110,1},{115,1,2178},{31,124,1},{31,124,1},{0,93,13},{126,54,2178},{0,93,13},{127,76,2178},{87,127,820},{78,127,0},
{27,127,0},{127,76,2178},{126,103,2178},{27,127,0},{0,110,2180},{126,103,2178},{0,110,2180},{43,0,2665},{43,0,2665},{43,0,2665},{43,0,2665},{26,127,20},{26,127,20},{26,127,20},{25,79,0},{0,87,74},{0,87,74},{65,127,12750},{57,127,6909},{55,127,4685},{48,126,2678},{61,127,14070},{37,127,3711},{32,127,86},{25,108,2786},{5,127,9739},{0,109,2131},{85,127,4658},{76,127,1674},{71,127,445},{64,123,173},{127,36,7578},
{51,127,2949},{37,127,5},{0,110,1941},{127,82,7578},{0,110,1941},{55,127,4685},{55,127,4685},{55,127,4685},{48,123,2666},{44,127,3987},{32,127,86},{32,127,86},{28,94,259},{0,119,2571},{0,97,35},{71,127,445},{71,127,445},{71,127,445},{66,114,1},{122,0,2178},{37,127,5},{37,127,5},{0,98,1},{126,61,2178},{0,98,1},{127,83,1625},{93,127,605},{84,127,1},{40,127,0},{127,83,1625},{126,106,1625},{40,127,0},
{0,113,1625},{126,106,1625},{0,113,1625},{48,0,2665},{48,0,2665},{48,0,2665},{48,0,2665},{32,127,50},{32,127,50},{32,127,50},{30,83,1},{0,96,20},{0,96,20},{68,127,12050},{62,127,6875},{58,127,4913},{52,127,2666},{65,127,13165},{43,127,3423},{37,127,198},{30,110,2214},{11,127,8987},{0,112,1431},{88,127,4082},{79,127,1547},{77,127,549},{68,124,81},{127,43,6661},{57,127,2525},{43,127,37},{0,112,1382},{127,86,6661},
{0,112,1382},{58,127,4913},{58,127,4913},{58,127,4913},{52,127,2666},{49,127,4197},{37,127,198},{37,127,198},{32,98,259},{0,125,2435},{0,103,3},{77,127,549},{77,127,549},{77,127,549},{70,118,1},{127,2,2178},{43,127,37},{43,127,37},{3,102,1},{127,66,2178},{3,102,1},{127,89,1201},{99,127,445},{90,127,1},{53,127,0},{127,89,1201},{125,109,1201},{53,127,0},{0,115,1201},{125,109,1201},{0,115,1201},{52,0,2665},
{52,0,2665},{52,0,2665},{52,0,2665},{36,127,89},{36,127,89},{36,127,89},{34,87,1},{0,103,2},{0,103,2},{74,127,11418},{65,127,6870},{62,127,5186},{56,127,2701},{68,127,12313},{46,127,3251},{43,127,366},{34,112,1695},{14,127,8383},{0,115,915},{91,127,3578},{84,127,1514},{79,127,650},{73,126,21},{127,53,5829},{63,127,2165},{51,127,97},{0,115,914},{126,91,5829},{0,115,914},{62,127,5186},{62,127,5186},{62,127,5186},
{56,127,2701},{55,127,4461},{43,127,366},{43,127,366},{36,102,259},{2,127,2427},{4,107,3},{79,127,650},{79,127,650},{79,127,650},{74,122,1},{127,14,2178},{51,127,97},{51,127,97},{7,106,1},{127,72,2178},{7,106,1},{127,95,841},{102,127,305},{96,127,1},{64,127,0},{127,95,841},{127,111,841},{64,127,0},{0,117,841},{127,111,841},{0,117,841},{56,0,2665},{56,0,2665},{56,0,2665},{56,0,2665},{41,127,130},
{41,127,130},{41,127,130},{38,91,1},{3,108,0},{3,108,0},{77,127,10830},{69,127,6894},{68,127,5393},{60,127,2786},{71,127,11565},{54,127,3154},{48,127,594},{37,115,1267},{25,127,7825},{3,118,575},{94,127,3146},{87,127,1478},{85,127,754},{77,127,1},{127,60,5082},{70,127,1869},{57,127,185},{0,118,558},{127,94,5082},{0,118,558},{68,127,5393},{68,127,5393},{68,127,5393},{60,127,2786},{58,127,4725},{48,127,594},{48,127,594},
{40,106,259},{8,127,2587},{8,111,3},{85,127,754},{85,127,754},{85,127,754},{78,126,1},{127,27,2178},{57,127,185},{57,127,185},{11,110,1},{126,78,2178},{11,110,1},{127,101,545},{108,127,193},{102,127,1},{76,127,0},{127,101,545},{127,114,545},{76,127,0},{0,119,545},{127,114,545},{0,119,545},{60,0,2665},{60,0,2665},{60,0,2665},{60,0,2665},{45,127,193},{45,127,193},{45,127,193},{42,95,1},{7,112,0},
{7,112,0},{79,127,10221},{74,127,6939},{71,127,5686},{64,127,2954},{77,127,10836},{57,127,3109},{54,127,913},{42,117,880},{34,127,7300},{8,120,304},{100,127,2736},{93,127,1452},{91,127,900},{83,127,29},{127,69,4344},{76,127,1611},{67,127,306},{2,121,288},{126,99,4344},{2,121,288},{71,127,5686},{71,127,5686},{71,127,5686},{64,127,2954},{65,127,5051},{54,127,913},{54,127,913},{44,110,260},{14,127,2856},{13,115,2},{91,127,900},
{91,127,900},{91,127,900},{83,127,29},{127,40,2178},{67,127,306},{67,127,306},{15,115,0},{126,85,2178},{15,115,0},{127,108,288},{113,127,106},{109,127,0},{90,127,0},{127,108,288},{127,118,288},{90,127,0},{0,121,288},{127,118,288},{0,121,288},{64,0,2665},{64,0,2665},{64,0,2665},{64,0,2665},{50,127,260},{50,127,260},{50,127,260},{46,100,0},{11,117,0},{11,117,0},{85,127,9781},{79,127,6942},{77,127,5950},
{70,127,3146},{79,127,10205},{63,127,3141},{57,127,1265},{47,119,616},{40,127,6924},{13,123,130},{103,127,2436},{97,127,1460},{94,127,1040},{87,127,104},{127,76,3779},{81,127,1496},{73,127,442},{10,123,128},{126,103,3779},{10,123,128},{77,127,5950},{77,127,5950},{77,127,5950},{70,127,3146},{68,127,5347},{57,127,1265},{57,127,1265},{48,114,260},{25,127,3115},{17,119,2},{94,127,1040},{94,127,1040},{94,127,1040},{87,127,104},{127,53,2178},
{73,127,442},{73,127,442},{19,119,0},{126,91,2178},{19,119,0},{127,115,128},{116,127,50},{115,127,0},{102,127,0},{127,115,128},{127,121,128},{102,127,0},{0,123,128},{127,121,128},{0,123,128},{68,0,2665},{68,0,2665},{68,0,2665},{68,0,2665},{55,127,325},{55,127,325},{55,127,325},{50,104,0},{15,121,0},{15,121,0},{88,127,9417},{82,127,7109},{82,127,6209},{73,127,3406},{85,127,9733},{67,127,3260},{63,127,1649},
{50,122,424},{46,127,6644},{19,125,32},{106,127,2208},{101,127,1502},{100,127,1184},{93,127,232},{127,86,3299},{87,127,1400},{81,127,628},{19,125,32},{127,107,3299},{19,125,32},{82,127,6209},{82,127,6209},{82,127,6209},{73,127,3406},{74,127,5659},{63,127,1649},{63,127,1649},{52,118,260},{34,127,3419},{21,123,2},{100,127,1184},{100,127,1184},{100,127,1184},{93,127,232},{127,64,2178},{81,127,628},{81,127,628},{23,123,0},{126,97,2178},
{23,123,0},{127,121,32},{122,127,10},{121,127,0},{115,127,0},{127,121,32},{127,124,32},{115,127,0},{0,125,32},{127,124,32},{0,125,32},{72,0,2665},{72,0,2665},{72,0,2665},{72,0,2665},{61,127,421},{61,127,421},{61,127,421},{54,108,0},{19,125,0},{19,125,0},{91,127,9133},{88,127,7245},{85,127,6485},{79,127,3710},{88,127,9325},{73,127,3460},{67,127,2107},{55,124,304},{54,127,6532},{25,127,2},{111,127,2038},
{106,127,1556},{103,127,1348},{96,127,416},{127,93,2904},{93,127,1368},{87,127,820},{27,127,0},{126,111,2904},{27,127,0},{85,127,6485},{85,127,6485},{85,127,6485},{79,127,3710},{79,127,5949},{67,127,2107},{67,127,2107},{56,122,260},{40,127,3771},{25,127,2},{103,127,1348},{103,127,1348},{103,127,1348},{96,127,416},{127,76,2178},{87,127,820},{87,127,820},{27,127,0},{126,103,2178},{27,127,0},{127,127,0},{127,127,0},{127,127,0},
{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{76,0,2665},{76,0,2665},{76,0,2665},{76,0,2665},{65,127,514},{65,127,514},{65,127,514},{58,112,0},{25,127,2},{25,127,2},{94,127,8049},{91,127,6469},{88,127,5849},{84,127,3561},{91,127,8053},{76,127,3106},{73,127,1965},{62,125,154},{60,127,5562},{34,127,32},{111,127,1507},{109,127,1161},{106,127,1009},{102,127,305},{127,98,2166},
{99,127,1009},{93,127,605},{40,127,0},{126,113,2166},{40,127,0},{88,127,5849},{88,127,5849},{88,127,5849},{84,127,3561},{82,127,5209},{73,127,1965},{73,127,1965},{61,124,126},{46,127,3225},{34,127,32},{106,127,1009},{106,127,1009},{106,127,1009},{102,127,305},{127,83,1625},{93,127,605},{93,127,605},{40,127,0},{126,106,1625},{40,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},
{0,127,0},{127,127,0},{0,127,0},{80,0,2665},{80,0,2665},{80,0,2665},{80,0,2665},{68,127,628},{68,127,628},{68,127,628},{63,116,1},{34,127,32},{34,127,32},{97,127,7165},{94,127,5845},{91,127,5333},{87,127,3401},{94,127,7033},{79,127,2823},{79,127,1862},{64,126,60},{64,127,4795},{40,127,80},{114,127,1107},{111,127,830},{111,127,730},{105,127,221},{127,102,1601},{102,127,737},{99,127,445},{53,127,0},{127,115,1601},
{53,127,0},{91,127,5333},{91,127,5333},{91,127,5333},{87,127,3401},{85,127,4629},{79,127,1862},{79,127,1862},{66,125,52},{54,127,2834},{40,127,80},{111,127,730},{111,127,730},{111,127,730},{105,127,221},{127,89,1201},{99,127,445},{99,127,445},{53,127,0},{125,109,1201},{53,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{84,0,2665},
{84,0,2665},{84,0,2665},{84,0,2665},{74,127,740},{74,127,740},{74,127,740},{66,120,0},{40,127,80},{40,127,80},{100,127,6361},{97,127,5277},{94,127,4865},{90,127,3265},{97,127,6117},{84,127,2641},{79,127,1814},{70,126,12},{70,127,4123},{46,127,160},{117,127,779},{114,127,595},{114,127,514},{108,127,153},{127,105,1121},{105,127,513},{102,127,305},{64,127,0},{126,117,1121},{64,127,0},{94,127,4865},{94,127,4865},{94,127,4865},
{90,127,3265},{91,127,4117},{79,127,1814},{79,127,1814},{70,126,8},{60,127,2474},{46,127,160},{114,127,514},{114,127,514},{114,127,514},{108,127,153},{127,95,841},{102,127,305},{102,127,305},{64,127,0},{127,111,841},{64,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{88,0,2665},{88,0,2665},{88,0,2665},{88,0,2665},{79,127,853},
{79,127,853},{79,127,853},{70,124,0},{46,127,160},{46,127,160},{103,127,5637},{100,127,4765},{100,127,4441},{93,127,3153},{100,127,5305},{90,127,2465},{86,127,1789},{74,127,4},{73,127,3543},{54,127,274},{117,127,507},{117,127,387},{115,127,337},{111,127,101},{127,110,726},{108,127,337},{108,127,193},{76,127,0},{126,119,726},{76,127,0},{100,127,4441},{100,127,4441},{100,127,4441},{93,127,3153},{94,127,3657},{86,127,1789},{86,127,1789},
{74,127,4},{67,127,2182},{54,127,274},{115,127,337},{115,127,337},{115,127,337},{111,127,101},{127,101,545},{108,127,193},{108,127,193},{76,127,0},{127,114,545},{76,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{92,0,2665},{92,0,2665},{92,0,2665},{92,0,2665},{82,127,985},{82,127,985},{82,127,985},{74,127,4},{54,127,274},
{54,127,274},{17,127,39416},{1,127,2073},{0,90,164},{0,86,5261},{17,127,49709},{0,113,21212},{0,85,8480},{0,75,26137},{0,87,56335},{0,67,37225},{12,127,10274},{0,122,1413},{0,90,148},{0,75,3940},{57,0,18065},{0,76,12036},{0,68,6166},{0,45,14098},{117,0,18065},{0,45,14098},{0,71,0},{0,71,0},{0,71,0},{0,35,0},{0,35,1105},{0,28,405},{0,28,405},{0,15,689},{0,14,1226},{0,15,789},{0,71,0},
{0,71,0},{0,71,0},{0,35,0},{17,0,1105},{0,28,405},{0,28,405},{0,15,689},{35,0,1105},{0,15,689},{85,0,9248},{0,122,1413},{0,90,148},{0,75,3940},{85,0,9248},{127,23,9248},{0,75,3940},{0,57,9250},{127,23,9248},{0,57,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{20,127,44736},{2,127,2677},{0,95,64},
{0,92,4941},{17,127,55213},{0,119,21820},{0,89,8426},{0,78,27209},{0,90,60583},{0,73,39465},{15,127,10870},{0,125,1213},{0,93,52},{0,78,3656},{61,0,19334},{0,81,12395},{0,73,6176},{0,50,14795},{124,0,19334},{0,50,14795},{0,83,0},{0,83,0},{0,83,0},{0,41,0},{0,41,1513},{0,34,565},{0,34,565},{0,18,937},{0,19,1661},{0,18,1081},{0,83,0},{0,83,0},{0,83,0},{0,41,0},{20,0,1513},
{0,34,565},{0,34,565},{0,18,937},{41,0,1513},{0,18,937},{91,0,9248},{0,125,1213},{0,93,52},{0,78,3656},{91,0,9248},{127,29,9248},{0,78,3656},{0,61,9250},{127,29,9248},{0,61,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{20,127,50624},{2,127,4005},{0,99,4},{0,95,4545},{20,127,61345},{0,125,22460},{0,93,8410},
{0,83,28480},{0,96,65039},{0,76,41789},{17,127,11556},{1,127,1217},{0,99,4},{0,83,3425},{64,0,20689},{0,87,12835},{0,76,6216},{0,53,15539},{126,3,20689},{0,53,15539},{0,95,0},{0,95,0},{0,95,0},{0,47,0},{0,47,1985},{0,37,745},{0,37,745},{0,21,1225},{0,22,2185},{0,21,1421},{0,95,0},{0,95,0},{0,95,0},{0,47,0},{23,0,1985},{0,37,745},{0,37,745},{0,21,1225},{47,0,1985},
{0,21,1225},{97,0,9248},{2,127,1205},{0,99,4},{0,83,3425},{97,0,9248},{127,35,9248},{0,83,3425},{0,65,9248},{127,35,9248},{0,65,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{23,127,56952},{5,127,6081},{0,103,9},{0,98,4221},{20,127,65535},{0,126,23535},{0,97,8416},{0,86,29640},{0,99,65535},{0,79,44233},{20,127,12416},
{2,127,1397},{1,103,8},{0,86,3181},{69,0,22129},{0,90,13307},{0,81,6266},{0,56,16331},{127,7,22129},{0,56,16331},{0,107,0},{0,107,0},{0,107,0},{0,53,0},{0,53,2521},{0,43,953},{0,43,953},{0,24,1553},{0,22,2777},{0,24,1809},{0,107,0},{0,107,0},{0,107,0},{0,53,0},{26,0,2521},{0,43,953},{0,43,953},{0,24,1553},{53,0,2521},{0,24,1553},{103,0,9248},{2,127,1381},{2,103,0},
{0,86,3181},{103,0,9248},{127,41,9248},{0,86,3181},{0,69,9248},{127,41,9248},{0,69,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{26,127,64790},{5,127,9105},{1,108,78},{0,104,3845},{23,127,65535},{2,127,25370},{0,102,8458},{0,89,31046},{0,105,65535},{0,81,47079},{23,127,13542},{5,127,1881},{2,109,50},{0,92,2897},{73,0,23851},
{0,96,13865},{0,87,6374},{0,59,17289},{126,12,23851},{0,59,17289},{0,121,0},{0,121,0},{0,121,0},{0,59,1},{0,61,3200},{0,51,1210},{0,51,1210},{0,27,1972},{0,25,3528},{0,27,2296},{0,121,0},{0,121,0},{0,121,0},{0,59,1},{30,0,3200},{0,51,1210},{0,51,1210},{0,27,1972},{61,0,3200},{0,27,1972},{110,0,9248},{11,127,1693},{7,107,1},{0,92,2897},{110,0,9248},{126,48,9248},{0,92,2897},
{0,73,9250},{126,48,9248},{0,73,9250},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{26,127,65535},{5,127,12609},{1,111,198},{0,107,3541},{26,127,65535},{2,127,27706},{0,105,8522},{0,92,32390},{0,113,65535},{0,87,49743},{26,127,14690},{8,127,2501},{3,113,126},{0,98,2665},{77,0,25472},{0,102,14385},{0,90,6486},{0,62,18185},{127,15,25472},
{0,62,18185},{0,127,16},{0,127,16},{0,127,16},{0,65,0},{0,66,3872},{0,51,1450},{0,51,1450},{0,30,2384},{0,28,4268},{0,27,2776},{1,127,13},{1,127,13},{1,127,13},{0,65,0},{33,0,3872},{0,51,1450},{0,51,1450},{0,30,2384},{66,0,3872},{0,30,2384},{115,1,9248},{19,127,2041},{11,111,1},{0,98,2665},{115,1,9248},{126,54,9248},{0,98,2665},{0,77,9250},{126,54,9248},{0,77,9250},{0,0,0},
{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{29,127,65535},{8,127,16605},{1,116,349},{0,112,3274},{26,127,65535},{2,127,30470},{0,109,8346},{0,98,33226},{0,113,65535},{0,90,52035},{29,127,15746},{11,127,3213},{5,117,217},{0,101,2445},{81,0,26744},{0,108,14657},{0,96,6398},{0,66,18739},{126,20,26744},{0,66,18739},{3,127,116},{3,127,116},{3,127,116},
{0,71,4},{0,74,4418},{0,57,1586},{0,57,1586},{0,33,2664},{0,31,4916},{0,30,3140},{3,127,80},{3,127,80},{3,127,80},{1,70,1},{36,1,4418},{0,57,1586},{0,57,1586},{0,33,2664},{74,0,4418},{0,33,2664},{121,1,9248},{25,127,2377},{15,115,1},{0,101,2441},{121,1,9248},{126,60,9248},{0,101,2441},{0,81,9250},{126,60,9248},{0,81,9250},{0,0,4},{0,0,4},{0,0,4},{0,0,4},{0,3,0},
{0,3,0},{0,3,0},{0,1,1},{1,0,2},{1,0,2},{32,127,65535},{11,127,21205},{2,120,605},{0,115,3106},{29,127,65535},{2,127,33062},{0,114,7330},{0,101,32522},{0,119,65535},{0,93,52995},{35,127,16210},{14,127,3809},{9,121,217},{0,107,2325},{87,0,26744},{0,116,14054},{0,99,5606},{0,72,18275},{126,26,26744},{0,72,18275},{6,127,292},{6,127,292},{6,127,292},{2,76,52},{0,86,4418},{0,64,1313},{0,64,1313},
{0,39,2440},{0,37,5092},{0,36,3044},{9,127,128},{9,127,128},{9,127,128},{5,74,1},{42,1,4418},{0,64,1313},{0,64,1313},{0,39,2440},{86,0,4418},{0,39,2440},{127,1,9248},{34,127,2741},{19,119,1},{0,107,2225},{127,1,9248},{127,65,9248},{0,107,2225},{0,85,9250},{127,65,9248},{0,85,9250},{2,0,52},{2,0,52},{2,0,52},{2,0,52},{0,15,0},{0,15,0},{0,15,0},{0,7,1},{0,5,18},
{0,5,18},{35,127,65535},{11,127,27154},{3,124,1078},{0,121,3041},{32,127,65535},{5,127,36765},{0,119,6285},{0,107,31809},{0,125,65535},{0,96,54246},{38,127,16729},{22,127,4594},{14,126,218},{4,111,2318},{94,0,26744},{0,122,13481},{0,105,4785},{0,75,17772},{127,32,26744},{0,75,17772},{9,127,614},{9,127,614},{9,127,614},{5,81,181},{0,100,4418},{0,73,1037},{0,73,1037},{0,42,2210},{0,43,5330},{0,41,2986},{13,127,193},
{13,127,193},{13,127,193},{9,79,1},{49,0,4418},{0,73,1037},{0,73,1037},{0,42,2210},{100,0,4418},{0,42,2210},{127,14,9248},{40,127,3177},{23,124,0},{0,110,2009},{127,14,9248},{127,72,9248},{0,110,2009},{0,90,9248},{127,72,9248},{0,90,9248},{5,0,181},{5,0,181},{5,0,181},{5,0,181},{0,29,0},{0,29,0},{0,29,0},{0,14,0},{0,11,65},{0,11,65},{35,127,65535},{14,127,31662},{4,127,1705},
{0,124,3025},{35,127,65535},{8,127,39325},{0,122,5245},{0,110,30421},{0,125,65535},{0,102,54322},{44,127,16749},{25,127,5034},{17,127,245},{7,114,2214},{99,0,26259},{0,125,12725},{0,111,3981},{0,78,16984},{126,38,26259},{0,78,16984},{10,127,1025},{10,127,1025},{10,127,1025},{7,86,365},{0,112,4418},{0,81,797},{0,81,797},{0,47,2025},{0,51,5557},{0,45,2950},{17,127,245},{17,127,245},{17,127,245},{13,83,1},{55,0,4418},
{0,81,797},{0,81,797},{0,47,2025},{112,0,4418},{0,47,2025},{127,25,8978},{46,127,3385},{28,127,0},{0,115,1732},{127,25,8978},{127,77,8978},{0,115,1732},{0,93,8980},{127,77,8978},{0,93,8980},{7,0,365},{7,0,365},{7,0,365},{7,0,365},{0,41,0},{0,41,0},{0,41,0},{0,20,0},{0,17,137},{0,17,137},{38,127,65535},{14,127,32078},{6,127,2618},{1,125,2789},{35,127,65535},{8,127,37485},{0,123,3805},
{0,110,27013},{0,125,65535},{0,102,51330},{49,127,15435},{31,127,4714},{23,127,317},{12,116,1830},{104,0,24371},{0,125,11205},{0,113,2881},{0,83,15117},{127,42,24371},{0,83,15117},{12,127,1538},{12,127,1538},{12,127,1538},{9,91,613},{0,124,4418},{0,87,605},{0,87,605},{0,53,1825},{0,54,5805},{0,49,2946},{23,127,317},{23,127,317},{23,127,317},{17,87,1},{61,0,4418},{0,87,605},{0,87,605},{0,53,1825},{124,0,4418},
{0,53,1825},{127,31,7938},{51,127,3029},{34,127,0},{0,118,1224},{127,31,7938},{127,80,7938},{0,118,1224},{0,95,7940},{127,80,7938},{0,95,7940},{9,0,613},{9,0,613},{9,0,613},{9,0,613},{0,53,0},{0,53,0},{0,53,0},{0,26,0},{0,22,221},{0,22,221},{38,127,65535},{14,127,32750},{6,127,3706},{3,124,2753},{35,127,65535},{8,127,35901},{0,124,2601},{0,110,23861},{0,125,65535},{0,102,48594},{52,127,14211},
{34,127,4410},{26,127,405},{16,117,1482},{107,1,22568},{2,127,9869},{0,116,1973},{0,86,13349},{126,46,22568},{0,86,13349},{17,127,2137},{17,127,2137},{17,127,2137},{11,96,925},{3,127,4462},{0,93,445},{0,93,445},{0,56,1649},{0,60,6101},{0,54,2966},{26,127,405},{26,127,405},{26,127,405},{21,91,1},{66,1,4418},{0,93,445},{0,93,445},{0,56,1649},{126,5,4418},{0,56,1649},{127,37,6962},{57,127,2645},{40,127,0},
{0,118,808},{127,37,6962},{127,83,6962},{0,118,808},{0,97,6964},{127,83,6962},{0,97,6964},{11,0,925},{11,0,925},{11,0,925},{11,0,925},{0,65,0},{0,65,0},{0,65,0},{0,32,0},{0,25,337},{0,25,337},{38,127,65535},{14,127,33812},{7,127,5233},{4,125,2961},{35,127,65535},{8,127,34425},{0,125,1509},{0,112,20542},{0,125,65535},{0,105,45810},{55,127,12917},{40,127,4114},{32,127,505},{22,117,1140},{112,0,20642},
{2,127,8609},{0,119,1157},{0,89,11489},{127,50,20642},{0,89,11489},{20,127,2969},{20,127,2969},{20,127,2969},{13,102,1352},{6,127,4660},{0,102,289},{0,102,289},{0,62,1445},{0,64,6470},{0,57,3018},{32,127,505},{32,127,505},{32,127,505},{26,95,1},{73,0,4418},{0,102,289},{0,102,289},{0,62,1445},{126,12,4418},{0,62,1445},{127,43,5941},{63,127,2248},{46,127,1},{0,121,433},{127,43,5941},{127,86,5941},{0,121,433},
{0,100,5941},{127,86,5941},{0,100,5941},{13,0,1352},{13,0,1352},{13,0,1352},{13,0,1352},{0,78,0},{0,78,0},{0,78,0},{0,39,0},{0,31,500},{0,31,500},{38,127,65535},{19,127,34934},{9,127,6748},{5,126,3381},{38,127,65535},{11,127,33369},{0,125,789},{0,112,17822},{0,125,65535},{0,105,43458},{58,127,11849},{43,127,3870},{38,127,617},{27,119,868},{115,1,19021},{5,127,7741},{0,120,621},{0,92,9957},{126,54,19021},
{0,92,9957},{23,127,3833},{23,127,3833},{23,127,3833},{15,107,1800},{9,127,4984},{0,108,185},{0,108,185},{0,66,1282},{0,70,6822},{0,63,3090},{38,127,617},{38,127,617},{38,127,617},{30,99,1},{79,0,4418},{0,108,185},{0,108,185},{0,66,1282},{127,17,4418},{0,66,1282},{127,50,5101},{67,127,1921},{52,127,0},{0,124,205},{127,50,5101},{127,89,5101},{0,124,205},{0,102,5101},{127,89,5101},{0,102,5101},{15,0,1800},
{15,0,1800},{15,0,1800},{15,0,1800},{0,91,0},{0,91,0},{0,91,0},{0,45,0},{0,37,676},{0,37,676},{41,127,65535},{19,127,36134},{9,127,8476},{5,126,4005},{38,127,65535},{11,127,32489},{0,126,309},{0,115,15210},{0,125,65535},{0,105,41362},{61,127,10853},{46,127,3674},{41,127,725},{31,120,632},{120,0,17485},{11,127,6965},{0,123,249},{0,95,8537},{127,58,17485},{0,95,8537},{23,127,4809},{23,127,4809},{23,127,4809},
{17,112,2312},{12,127,5444},{0,116,89},{0,116,89},{0,72,1130},{0,76,7206},{0,67,3194},{41,127,725},{41,127,725},{41,127,725},{34,103,1},{85,0,4418},{0,116,89},{0,116,89},{0,72,1130},{127,23,4418},{0,72,1130},{127,56,4325},{70,127,1625},{58,127,0},{0,124,61},{127,56,4325},{127,92,4325},{0,124,61},{0,104,4325},{127,92,4325},{0,104,4325},{17,0,2312},{17,0,2312},{17,0,2312},{17,0,2312},{0,103,0},
{0,103,0},{0,103,0},{0,50,1},{0,40,872},{0,40,872},{41,127,65535},{19,127,37590},{9,127,10460},{6,127,4841},{38,127,65535},{11,127,31865},{0,127,65},{0,115,12842},{0,125,65535},{0,105,39522},{65,127,9918},{51,127,3500},{47,127,853},{35,121,436},{124,0,16034},{14,127,6273},{0,125,53},{0,98,7229},{127,62,16034},{0,98,7229},{26,127,5881},{26,127,5881},{26,127,5881},{19,117,2888},{15,127,6040},{0,125,37},{0,125,37},
{0,75,986},{0,81,7565},{0,70,3318},{47,127,853},{47,127,853},{47,127,853},{38,107,1},{91,0,4418},{0,125,37},{0,125,37},{0,75,986},{127,29,4418},{0,75,986},{127,62,3613},{76,127,1345},{64,127,0},{0,127,1},{127,62,3613},{127,95,3613},{0,127,1},{0,106,3613},{127,95,3613},{0,106,3613},{19,0,2888},{19,0,2888},{19,0,2888},{19,0,2888},{0,115,0},{0,115,0},{0,115,0},{0,56,1},{0,46,1096},
{0,46,1096},{41,127,65535},{22,127,39522},{12,127,12842},{7,127,6030},{38,127,65535},{11,127,31469},{0,127,65},{0,118,10460},{0,125,65535},{0,108,37590},{68,127,8954},{57,127,3318},{52,127,986},{40,123,258},{127,2,14504},{22,127,5594},{2,127,37},{0,101,5881},{127,66,14504},{0,101,5881},{29,127,7229},{29,127,7229},{29,127,7229},{21,122,3614},{17,127,6824},{1,127,53},{1,127,53},{0,80,853},{0,87,8059},{0,76,3500},{52,127,986},
{52,127,986},{52,127,986},{42,112,1},{98,0,4418},{2,127,37},{2,127,37},{0,80,853},{127,36,4418},{0,80,853},{127,69,2888},{81,127,1096},{70,127,1},{11,127,0},{127,69,2888},{126,99,2888},{11,127,0},{0,108,2888},{126,99,2888},{0,108,2888},{21,0,3613},{21,0,3613},{21,0,3613},{21,0,3613},{0,127,1},{0,127,1},{0,127,1},{0,63,0},{0,51,1345},{0,51,1345},{41,127,65535},{22,127,41362},{12,127,15210},
{8,127,7309},{41,127,65535},{11,127,31389},{1,127,309},{0,118,8476},{0,125,65535},{0,108,36134},{71,127,8174},{60,127,3194},{55,127,1130},{45,123,137},{127,10,13235},{28,127,5018},{11,127,89},{0,101,4809},{126,70,13235},{0,101,4809},{32,127,8537},{32,127,8537},{32,127,8537},{23,127,4326},{20,127,7700},{4,127,249},{4,127,249},{0,86,725},{0,93,8531},{0,81,3674},{55,127,1130},{55,127,1130},{55,127,1130},{46,116,1},{104,0,4418},
{11,127,89},{11,127,89},{0,86,725},{127,42,4418},{0,86,725},{127,75,2312},{87,127,872},{76,127,1},{24,127,0},{127,75,2312},{126,102,2312},{24,127,0},{0,110,2312},{126,102,2312},{0,110,2312},{23,0,4325},{23,0,4325},{23,0,4325},{23,0,4325},{3,127,61},{3,127,61},{3,127,61},{0,69,0},{0,54,1625},{0,54,1625},{44,127,65535},{22,127,43458},{15,127,17822},{8,127,8829},{41,127,65535},{14,127,31497},{2,127,789},
{0,118,6748},{0,125,65535},{0,108,34934},{77,127,7454},{64,127,3090},{61,127,1282},{50,125,53},{127,19,12051},{34,127,4506},{16,127,185},{0,104,3833},{127,74,12051},{0,104,3833},{35,127,9957},{35,127,9957},{35,127,9957},{25,127,5150},{23,127,8712},{5,127,621},{5,127,621},{0,89,617},{0,96,9035},{0,84,3870},{61,127,1282},{61,127,1282},{61,127,1282},{50,120,1},{110,0,4418},{16,127,185},{16,127,185},{0,89,617},{126,48,4418},
{0,89,617},{127,81,1800},{90,127,676},{82,127,0},{36,127,0},{127,81,1800},{126,105,1800},{36,127,0},{0,112,1800},{126,105,1800},{0,112,1800},{25,0,5101},{25,0,5101},{25,0,5101},{25,0,5101},{3,127,205},{3,127,205},{3,127,205},{0,75,0},{0,60,1921},{0,60,1921},{44,127,65535},{22,127,45810},{15,127,20542},{10,127,10546},{41,127,65535},{14,127,31833},{2,127,1509},{0,120,5233},{0,125,65535},{0,113,33812},{79,127,6740},
{70,127,3018},{65,127,1445},{54,126,9},{127,27,10952},{40,127,4058},{25,127,289},{0,107,2969},{126,78,10952},{0,107,2969},{38,127,11489},{38,127,11489},{38,127,11489},{28,127,6114},{26,127,9860},{8,127,1157},{8,127,1157},{0,95,505},{0,102,9555},{0,87,4114},{65,127,1445},{65,127,1445},{65,127,1445},{54,124,1},{115,1,4418},{25,127,289},{25,127,289},{0,95,505},{126,54,4418},{0,95,505},{127,87,1352},{96,127,500},{88,127,0},
{48,127,0},{127,87,1352},{126,108,1352},{48,127,0},{0,114,1352},{126,108,1352},{0,114,1352},{27,0,5941},{27,0,5941},{27,0,5941},{27,0,5941},{6,127,433},{6,127,433},{6,127,433},{0,80,1},{0,64,2248},{0,64,2248},{44,127,65535},{25,127,48594},{17,127,23861},{11,127,12725},{41,127,65535},{14,127,32517},{3,127,2601},{0,121,3706},{0,126,65535},{0,113,32750},{82,127,6098},{73,127,2966},{71,127,1649},{59,127,4},{127,36,9818},
{46,127,3638},{34,127,445},{0,110,2137},{127,82,9818},{0,110,2137},{41,127,13349},{41,127,13349},{41,127,13349},{31,127,7380},{29,127,11310},{11,127,1973},{11,127,1973},{0,101,405},{0,108,10181},{0,93,4410},{71,127,1649},{71,127,1649},{71,127,1649},{59,127,4},{122,0,4418},{34,127,445},{34,127,445},{0,101,405},{126,61,4418},{0,101,405},{127,93,925},{102,127,337},{95,127,0},{62,127,0},{127,93,925},{126,111,925},{62,127,0},
{0,116,925},{126,111,925},{0,116,925},{29,0,6964},{29,0,6964},{29,0,6964},{29,0,6964},{9,127,808},{9,127,808},{9,127,808},{0,87,0},{0,70,2645},{0,70,2645},{44,127,65535},{25,127,51330},{17,127,27013},{11,127,14917},{41,127,65535},{14,127,33397},{4,127,3805},{0,121,2618},{1,126,65535},{0,113,32078},{88,127,5594},{79,127,2891},{74,127,1825},{64,127,45},{127,43,8901},{54,127,3373},{40,127,605},{0,115,1538},{127,86,8901},
{0,115,1538},{44,127,15117},{44,127,15117},{44,127,15117},{34,127,8664},{32,127,12746},{14,127,2881},{14,127,2881},{0,104,317},{0,113,10694},{0,96,4714},{74,127,1825},{74,127,1825},{74,127,1825},{64,127,45},{127,2,4418},{40,127,605},{40,127,605},{0,104,317},{127,66,4418},{0,104,317},{127,99,613},{105,127,221},{101,127,0},{73,127,0},{127,99,613},{126,114,613},{73,127,0},{0,118,613},{126,114,613},{0,118,613},{31,0,7940},
{31,0,7940},{31,0,7940},{31,0,7940},{9,127,1224},{9,127,1224},{9,127,1224},{0,93,0},{0,76,3029},{0,76,3029},{49,127,65535},{25,127,54322},{17,127,30421},{13,127,17348},{44,127,65535},{14,127,34533},{5,127,5245},{0,123,1705},{2,127,65535},{0,113,31662},{91,127,5146},{82,127,2950},{79,127,1994},{67,127,145},{127,53,8069},{60,127,3125},{46,127,797},{0,117,1025},{126,91,8069},{0,117,1025},{49,127,16984},{49,127,16984},{49,127,16984},
{37,127,10100},{35,127,14318},{16,127,3981},{16,127,3981},{0,110,245},{0,119,11302},{0,102,5034},{79,127,1994},{79,127,1994},{79,127,1994},{67,127,145},{127,14,4418},{46,127,797},{46,127,797},{0,110,245},{127,72,4418},{0,110,245},{127,105,365},{111,127,136},{107,127,0},{86,127,0},{127,105,365},{126,117,365},{86,127,0},{0,120,365},{126,117,365},{0,120,365},{33,0,8980},{33,0,8980},{33,0,8980},{33,0,8980},{12,127,1732},
{12,127,1732},{12,127,1732},{0,99,0},{0,81,3385},{0,81,3385},{49,127,65535},{28,127,54246},{20,127,31809},{16,127,18396},{49,127,65535},{19,127,34118},{8,127,6285},{3,124,1078},{2,127,65535},{0,116,27154},{94,127,4770},{86,127,2986},{82,127,2210},{73,127,281},{127,60,7322},{67,127,2945},{54,127,1037},{0,118,614},{127,94,7322},{0,118,614},{52,127,17772},{52,127,17772},{52,127,17772},{40,127,10764},{38,127,15150},{22,127,4785},{22,127,4785},
{1,113,218},{0,125,10994},{0,105,4594},{82,127,2210},{82,127,2210},{82,127,2210},{73,127,281},{127,27,4418},{54,127,1037},{54,127,1037},{0,114,193},{126,78,4418},{0,114,193},{127,111,181},{116,127,65},{113,127,0},{98,127,0},{127,111,181},{126,120,181},{98,127,0},{0,122,181},{126,120,181},{0,122,181},{37,0,9248},{37,0,9248},{37,0,9248},{37,0,9248},{17,127,2009},{17,127,2009},{17,127,2009},{3,104,0},{0,87,3177},
{0,87,3177},{52,127,65535},{34,127,52995},{26,127,32522},{21,127,19126},{49,127,65535},{22,127,32935},{13,127,7330},{7,125,605},{2,127,64493},{0,116,21205},{97,127,4436},{91,127,3044},{88,127,2440},{79,127,505},{127,69,6584},{73,127,2811},{63,127,1313},{0,121,292},{126,99,6584},{0,121,292},{55,127,18275},{55,127,18275},{55,127,18275},{46,127,11259},{44,127,15797},{28,127,5606},{28,127,5606},{6,118,217},{0,125,10589},{0,113,3809},{88,127,2440},
{88,127,2440},{88,127,2440},{79,127,505},{127,40,4418},{63,127,1313},{63,127,1313},{0,118,128},{126,85,4418},{0,118,128},{127,119,50},{122,127,18},{119,127,1},{111,127,0},{127,119,50},{127,123,50},{111,127,0},{0,124,52},{127,123,50},{0,124,52},{41,0,9250},{41,0,9250},{41,0,9250},{41,0,9250},{20,127,2225},{20,127,2225},{20,127,2225},{8,108,1},{0,93,2741},{0,93,2741},{55,127,65535},{37,127,52035},{29,127,33226},
{25,127,19751},{52,127,65535},{28,127,31983},{18,127,8346},{11,126,349},{2,127,60061},{0,119,16605},{100,127,4216},{97,127,3140},{94,127,2664},{84,127,776},{127,76,6019},{76,127,2779},{70,127,1586},{0,124,116},{126,103,6019},{0,124,116},{61,127,18739},{61,127,18739},{61,127,18739},{51,127,11794},{49,127,16315},{31,127,6398},{31,127,6398},{10,122,217},{2,127,10565},{0,116,3213},{94,127,2664},{94,127,2664},{94,127,2664},{84,127,776},{127,53,4418},
{70,127,1586},{70,127,1586},{0,124,80},{126,91,4418},{0,124,80},{127,125,2},{127,126,2},{125,127,1},{124,127,0},{127,125,2},{127,126,2},{124,127,0},{0,126,4},{127,126,2},{0,126,4},{45,0,9250},{45,0,9250},{45,0,9250},{45,0,9250},{26,127,2441},{26,127,2441},{26,127,2441},{12,112,1},{0,102,2377},{0,102,2377},{58,127,65535},{40,127,49743},{35,127,32390},{28,127,19671},{55,127,65535},{31,127,30383},{22,127,8522},
{15,126,198},{2,127,55505},{0,122,12609},{103,127,3648},{100,127,2776},{97,127,2384},{87,127,740},{127,83,5163},{84,127,2468},{73,127,1450},{0,127,16},{126,106,5163},{0,127,16},{65,127,18185},{65,127,18185},{65,127,18185},{54,127,11714},{52,127,15699},{37,127,6486},{37,127,6486},{14,124,126},{2,127,9785},{0,119,2501},{97,127,2384},{97,127,2384},{97,127,2384},{87,127,740},{127,60,3872},{73,127,1450},{73,127,1450},{0,126,13},{127,94,3872},
{0,126,13},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{49,0,9250},{49,0,9250},{49,0,9250},{49,0,9250},{29,127,2665},{29,127,2665},{29,127,2665},{16,116,1},{0,108,2041},{0,108,2041},{61,127,65535},{46,127,47079},{38,127,31046},{33,127,19370},{58,127,65535},{34,127,28647},{25,127,8458},{19,126,78},{2,127,51393},{0,122,9105},{106,127,3012},
{100,127,2296},{100,127,1972},{90,127,612},{127,86,4267},{87,127,2028},{76,127,1210},{5,127,0},{127,107,4267},{5,127,0},{65,127,17289},{65,127,17289},{65,127,17289},{57,127,11462},{55,127,14739},{40,127,6374},{40,127,6374},{18,125,50},{2,127,8937},{0,122,1881},{100,127,1972},{100,127,1972},{100,127,1972},{90,127,612},{127,66,3200},{76,127,1210},{76,127,1210},{5,127,0},{127,97,3200},{5,127,0},{127,127,0},{127,127,0},{127,127,0},
{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{53,0,9250},{53,0,9250},{53,0,9250},{53,0,9250},{35,127,2897},{35,127,2897},{35,127,2897},{20,120,1},{0,116,1693},{0,116,1693},{65,127,65535},{48,127,44233},{41,127,29640},{37,127,18961},{61,127,65535},{40,127,26823},{30,127,8416},{24,127,9},{8,127,47133},{0,122,6081},{109,127,2377},{103,127,1809},{103,127,1553},{96,127,481},{127,90,3361},
{90,127,1593},{84,127,953},{19,127,0},{127,109,3361},{19,127,0},{71,127,16331},{71,127,16331},{71,127,16331},{63,127,11212},{61,127,13721},{46,127,6266},{46,127,6266},{24,126,8},{5,127,8245},{0,125,1397},{103,127,1553},{103,127,1553},{103,127,1553},{96,127,481},{127,72,2521},{84,127,953},{84,127,953},{19,127,0},{127,100,2521},{19,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},
{0,127,0},{127,127,0},{0,127,0},{58,0,9248},{58,0,9248},{58,0,9248},{58,0,9248},{41,127,3181},{41,127,3181},{41,127,3181},{24,125,0},{0,125,1381},{0,125,1381},{65,127,65535},{51,127,41789},{44,127,28480},{40,127,18673},{65,127,65535},{43,127,25251},{34,127,8410},{28,127,4},{14,127,43557},{0,125,4005},{111,127,1843},{106,127,1421},{106,127,1225},{99,127,373},{127,95,2646},{96,127,1241},{90,127,745},{31,127,0},{127,111,2646},
{31,127,0},{74,127,15539},{74,127,15539},{74,127,15539},{64,127,10979},{65,127,12914},{51,127,6216},{51,127,6216},{28,127,4},{11,127,7709},{0,126,1217},{106,127,1225},{106,127,1225},{106,127,1225},{99,127,373},{127,78,1985},{90,127,745},{90,127,745},{31,127,0},{127,103,1985},{31,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{62,0,9248},
{62,0,9248},{62,0,9248},{62,0,9248},{44,127,3425},{44,127,3425},{44,127,3425},{28,127,4},{0,125,1205},{0,125,1205},{68,127,65535},{54,127,39465},{49,127,27209},{46,127,18393},{65,127,64563},{46,127,23799},{38,127,8426},{32,127,64},{14,127,40437},{0,125,2677},{111,127,1411},{111,127,1070},{109,127,937},{102,127,281},{127,99,2017},{99,127,937},{93,127,565},{43,127,0},{126,114,2017},{43,127,0},{77,127,14795},{77,127,14795},{77,127,14795},
{70,127,10779},{68,127,12146},{54,127,6176},{54,127,6176},{34,127,52},{14,127,7281},{2,127,1213},{109,127,937},{109,127,937},{109,127,937},{102,127,281},{127,84,1513},{93,127,565},{93,127,565},{43,127,0},{127,106,1513},{43,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{65,0,9250},{65,0,9250},{65,0,9250},{65,0,9250},{49,127,3656},
{49,127,3656},{49,127,3656},{34,127,52},{2,127,1213},{2,127,1213},{71,127,63180},{60,127,37225},{52,127,26137},{48,127,18128},{68,127,59595},{51,127,22636},{42,127,8480},{37,127,164},{22,127,37455},{0,126,2073},{114,127,1019},{111,127,766},{111,127,666},{105,127,205},{127,102,1473},{102,127,681},{99,127,405},{56,127,0},{127,115,1473},{56,127,0},{79,127,14066},{79,127,14066},{79,127,14066},{73,127,10571},{71,127,11450},{59,127,6166},{59,127,6166},
{37,127,148},{25,127,6914},{5,127,1413},{111,127,666},{111,127,666},{111,127,666},{105,127,205},{127,90,1105},{99,127,405},{99,127,405},{56,127,0},{127,109,1105},{56,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{127,127,0},{0,127,0},{127,127,0},{0,127,0},{69,0,9250},{69,0,9250},{69,0,9250},{69,0,9250},{52,127,3940},{52,127,3940},{52,127,3940},{37,127,148},{5,127,1413},
{5,127,1413},
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu.h | // basisu.h
// Copyright (C) 2019-2021 Binomial LLC. All Rights Reserved.
// Important: If compiling with gcc, be sure strict aliasing is disabled: -fno-strict-aliasing
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
#pragma once
#ifdef _MSC_VER
#pragma warning (disable : 4201)
#pragma warning (disable : 4127) // warning C4127: conditional expression is constant
#pragma warning (disable : 4530) // C++ exception handler used, but unwind semantics are not enabled.
// Slamming this off always for v1.16 because we've gotten rid of most std containers.
#ifndef BASISU_NO_ITERATOR_DEBUG_LEVEL
#define BASISU_NO_ITERATOR_DEBUG_LEVEL (1)
#endif
#ifndef BASISU_NO_ITERATOR_DEBUG_LEVEL
//#define _HAS_ITERATOR_DEBUGGING 0
#if defined(_DEBUG) || defined(DEBUG)
// This is madness, but we need to disable iterator debugging in debug builds or the encoder is unsable because MSVC's iterator debugging implementation is totally broken.
#ifndef _ITERATOR_DEBUG_LEVEL
#define _ITERATOR_DEBUG_LEVEL 1
#endif
#ifndef _SECURE_SCL
#define _SECURE_SCL 1
#endif
#else // defined(_DEBUG) || defined(DEBUG)
#ifndef _SECURE_SCL
#define _SECURE_SCL 0
#endif
#ifndef _ITERATOR_DEBUG_LEVEL
#define _ITERATOR_DEBUG_LEVEL 0
#endif
#endif // defined(_DEBUG) || defined(DEBUG)
#endif // BASISU_NO_ITERATOR_DEBUG_LEVEL
#endif // _MSC_VER
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include <stdarg.h>
#include <string.h>
#include <memory.h>
#include <limits.h>
#include <stdint.h>
#include <algorithm>
#include <limits>
#include <functional>
#include <iterator>
#include <type_traits>
#include <assert.h>
#include <random>
#include "basisu_containers.h"
#ifdef max
#undef max
#endif
#ifdef min
#undef min
#endif
#ifdef _WIN32
#define strcasecmp _stricmp
#endif
// Set to one to enable debug printf()'s when any errors occur, for development/debugging. Especially useful for WebGL development.
#ifndef BASISU_FORCE_DEVEL_MESSAGES
#define BASISU_FORCE_DEVEL_MESSAGES 0
#endif
#define BASISU_NOTE_UNUSED(x) (void)(x)
#define BASISU_ARRAY_SIZE(x) (sizeof(x) / sizeof(x[0]))
#define BASISU_NO_EQUALS_OR_COPY_CONSTRUCT(x) x(const x &) = delete; x& operator= (const x &) = delete;
#define BASISU_ASSUME(x) static_assert(x, #x);
#define BASISU_OFFSETOF(s, m) offsetof(s, m)
#define BASISU_STRINGIZE(x) #x
#define BASISU_STRINGIZE2(x) BASISU_STRINGIZE(x)
#if BASISU_FORCE_DEVEL_MESSAGES
#define BASISU_DEVEL_ERROR(...) do { basisu::debug_printf(__VA_ARGS__); } while(0)
#else
#define BASISU_DEVEL_ERROR(...)
#endif
namespace basisu
{
// Types/utilities
#ifdef _WIN32
const char BASISU_PATH_SEPERATOR_CHAR = '\\';
#else
const char BASISU_PATH_SEPERATOR_CHAR = '/';
#endif
typedef basisu::vector<uint8_t> uint8_vec;
typedef basisu::vector<int16_t> int16_vec;
typedef basisu::vector<uint16_t> uint16_vec;
typedef basisu::vector<uint32_t> uint_vec;
typedef basisu::vector<uint64_t> uint64_vec;
typedef basisu::vector<int> int_vec;
typedef basisu::vector<bool> bool_vec;
void enable_debug_printf(bool enabled);
void debug_printf(const char *pFmt, ...);
template <typename T> inline void clear_obj(T& obj) { memset(&obj, 0, sizeof(obj)); }
template <typename T0, typename T1> inline T0 lerp(T0 a, T0 b, T1 c) { return a + (b - a) * c; }
template <typename S> inline S maximum(S a, S b) { return (a > b) ? a : b; }
template <typename S> inline S maximum(S a, S b, S c) { return maximum(maximum(a, b), c); }
template <typename S> inline S maximum(S a, S b, S c, S d) { return maximum(maximum(maximum(a, b), c), d); }
template <typename S> inline S minimum(S a, S b) { return (a < b) ? a : b; }
template <typename S> inline S minimum(S a, S b, S c) { return minimum(minimum(a, b), c); }
template <typename S> inline S minimum(S a, S b, S c, S d) { return minimum(minimum(minimum(a, b), c), d); }
inline float clampf(float value, float low, float high) { if (value < low) value = low; else if (value > high) value = high; return value; }
inline float saturate(float value) { return clampf(value, 0, 1.0f); }
inline uint8_t minimumub(uint8_t a, uint8_t b) { return (a < b) ? a : b; }
inline uint32_t minimumu(uint32_t a, uint32_t b) { return (a < b) ? a : b; }
inline int32_t minimumi(int32_t a, int32_t b) { return (a < b) ? a : b; }
inline float minimumf(float a, float b) { return (a < b) ? a : b; }
inline uint8_t maximumub(uint8_t a, uint8_t b) { return (a > b) ? a : b; }
inline uint32_t maximumu(uint32_t a, uint32_t b) { return (a > b) ? a : b; }
inline int32_t maximumi(int32_t a, int32_t b) { return (a > b) ? a : b; }
inline float maximumf(float a, float b) { return (a > b) ? a : b; }
inline int squarei(int i) { return i * i; }
inline float squaref(float i) { return i * i; }
template<typename T> inline T square(T a) { return a * a; }
template <typename S> inline S clamp(S value, S low, S high) { return (value < low) ? low : ((value > high) ? high : value); }
inline uint32_t iabs(int32_t i) { return (i < 0) ? static_cast<uint32_t>(-i) : static_cast<uint32_t>(i); }
inline uint64_t iabs64(int64_t i) { return (i < 0) ? static_cast<uint64_t>(-i) : static_cast<uint64_t>(i); }
template<typename T> inline void clear_vector(T &vec) { vec.erase(vec.begin(), vec.end()); }
template<typename T> inline typename T::value_type *enlarge_vector(T &vec, size_t n) { size_t cs = vec.size(); vec.resize(cs + n); return &vec[cs]; }
inline bool is_pow2(uint32_t x) { return x && ((x & (x - 1U)) == 0U); }
inline bool is_pow2(uint64_t x) { return x && ((x & (x - 1U)) == 0U); }
template<typename T> inline T open_range_check(T v, T minv, T maxv) { assert(v >= minv && v < maxv); BASISU_NOTE_UNUSED(minv); BASISU_NOTE_UNUSED(maxv); return v; }
template<typename T> inline T open_range_check(T v, T maxv) { assert(v < maxv); BASISU_NOTE_UNUSED(maxv); return v; }
inline uint32_t total_bits(uint32_t v) { uint32_t l = 0; for ( ; v > 0U; ++l) v >>= 1; return l; }
template<typename T> inline T saturate(T val) { return clamp(val, 0.0f, 1.0f); }
template<typename T, typename R> inline void append_vector(T &vec, const R *pObjs, size_t n)
{
if (n)
{
if (vec.size())
{
assert((pObjs + n) <= vec.begin() || (pObjs >= vec.end()));
}
const size_t cur_s = vec.size();
vec.resize(cur_s + n);
memcpy(&vec[cur_s], pObjs, sizeof(R) * n);
}
}
template<typename T> inline void append_vector(T &vec, const T &other_vec)
{
assert(&vec != &other_vec);
if (other_vec.size())
append_vector(vec, &other_vec[0], other_vec.size());
}
template<typename T> inline void vector_ensure_element_is_valid(T &vec, size_t idx)
{
if (idx >= vec.size())
vec.resize(idx + 1);
}
template<typename T> inline void vector_sort(T &vec)
{
if (vec.size())
std::sort(vec.begin(), vec.end());
}
template<typename T, typename U> inline bool unordered_set_contains(T& set, const U&obj)
{
return set.find(obj) != set.end();
}
template<typename T> int vector_find(const T &vec, const typename T::value_type &obj)
{
assert(vec.size() <= INT_MAX);
for (size_t i = 0; i < vec.size(); i++)
if (vec[i] == obj)
return static_cast<int>(i);
return -1;
}
template<typename T> void vector_set_all(T &vec, const typename T::value_type &obj)
{
for (size_t i = 0; i < vec.size(); i++)
vec[i] = obj;
}
inline uint64_t read_be64(const void *p)
{
uint64_t val = 0;
for (uint32_t i = 0; i < 8; i++)
val |= (static_cast<uint64_t>(static_cast<const uint8_t *>(p)[7 - i]) << (i * 8));
return val;
}
inline void write_be64(void *p, uint64_t x)
{
for (uint32_t i = 0; i < 8; i++)
static_cast<uint8_t *>(p)[7 - i] = static_cast<uint8_t>(x >> (i * 8));
}
static inline uint16_t byteswap16(uint16_t x) { return static_cast<uint16_t>((x << 8) | (x >> 8)); }
static inline uint32_t byteswap32(uint32_t x) { return ((x << 24) | ((x << 8) & 0x00FF0000) | ((x >> 8) & 0x0000FF00) | (x >> 24)); }
inline uint32_t floor_log2i(uint32_t v)
{
uint32_t b = 0;
for (; v > 1U; ++b)
v >>= 1;
return b;
}
inline uint32_t ceil_log2i(uint32_t v)
{
uint32_t b = floor_log2i(v);
if ((b != 32) && (v > (1U << b)))
++b;
return b;
}
inline int posmod(int x, int y)
{
if (x >= 0)
return (x < y) ? x : (x % y);
int m = (-x) % y;
return (m != 0) ? (y - m) : m;
}
inline bool do_excl_ranges_overlap(int la, int ha, int lb, int hb)
{
assert(la < ha && lb < hb);
if ((ha <= lb) || (la >= hb)) return false;
return true;
}
static inline uint32_t read_le_dword(const uint8_t *pBytes)
{
return (pBytes[3] << 24U) | (pBytes[2] << 16U) | (pBytes[1] << 8U) | (pBytes[0]);
}
static inline void write_le_dword(uint8_t* pBytes, uint32_t val)
{
pBytes[0] = (uint8_t)val;
pBytes[1] = (uint8_t)(val >> 8U);
pBytes[2] = (uint8_t)(val >> 16U);
pBytes[3] = (uint8_t)(val >> 24U);
}
// Always little endian 1-8 byte unsigned int
template<uint32_t NumBytes>
struct packed_uint
{
uint8_t m_bytes[NumBytes];
inline packed_uint() { static_assert(NumBytes <= sizeof(uint64_t), "Invalid NumBytes"); }
inline packed_uint(uint64_t v) { *this = v; }
inline packed_uint(const packed_uint& other) { *this = other; }
inline packed_uint& operator= (uint64_t v)
{
for (uint32_t i = 0; i < NumBytes; i++)
m_bytes[i] = static_cast<uint8_t>(v >> (i * 8));
return *this;
}
inline packed_uint& operator= (const packed_uint& rhs)
{
memcpy(m_bytes, rhs.m_bytes, sizeof(m_bytes));
return *this;
}
inline operator uint32_t() const
{
switch (NumBytes)
{
case 1:
{
return m_bytes[0];
}
case 2:
{
return (m_bytes[1] << 8U) | m_bytes[0];
}
case 3:
{
return (m_bytes[2] << 16U) | (m_bytes[1] << 8U) | m_bytes[0];
}
case 4:
{
return read_le_dword(m_bytes);
}
case 5:
{
uint32_t l = read_le_dword(m_bytes);
uint32_t h = m_bytes[4];
return static_cast<uint64_t>(l) | (static_cast<uint64_t>(h) << 32U);
}
case 6:
{
uint32_t l = read_le_dword(m_bytes);
uint32_t h = (m_bytes[5] << 8U) | m_bytes[4];
return static_cast<uint64_t>(l) | (static_cast<uint64_t>(h) << 32U);
}
case 7:
{
uint32_t l = read_le_dword(m_bytes);
uint32_t h = (m_bytes[6] << 16U) | (m_bytes[5] << 8U) | m_bytes[4];
return static_cast<uint64_t>(l) | (static_cast<uint64_t>(h) << 32U);
}
case 8:
{
uint32_t l = read_le_dword(m_bytes);
uint32_t h = read_le_dword(m_bytes + 4);
return static_cast<uint64_t>(l) | (static_cast<uint64_t>(h) << 32U);
}
default:
{
assert(0);
return 0;
}
}
}
};
enum eZero { cZero };
enum eNoClamp { cNoClamp };
// Rice/Huffman entropy coding
// This is basically Deflate-style canonical Huffman, except we allow for a lot more symbols.
enum
{
cHuffmanMaxSupportedCodeSize = 16, cHuffmanMaxSupportedInternalCodeSize = 31,
cHuffmanFastLookupBits = 10,
cHuffmanMaxSymsLog2 = 14, cHuffmanMaxSyms = 1 << cHuffmanMaxSymsLog2,
// Small zero runs
cHuffmanSmallZeroRunSizeMin = 3, cHuffmanSmallZeroRunSizeMax = 10, cHuffmanSmallZeroRunExtraBits = 3,
// Big zero run
cHuffmanBigZeroRunSizeMin = 11, cHuffmanBigZeroRunSizeMax = 138, cHuffmanBigZeroRunExtraBits = 7,
// Small non-zero run
cHuffmanSmallRepeatSizeMin = 3, cHuffmanSmallRepeatSizeMax = 6, cHuffmanSmallRepeatExtraBits = 2,
// Big non-zero run
cHuffmanBigRepeatSizeMin = 7, cHuffmanBigRepeatSizeMax = 134, cHuffmanBigRepeatExtraBits = 7,
cHuffmanTotalCodelengthCodes = 21, cHuffmanSmallZeroRunCode = 17, cHuffmanBigZeroRunCode = 18, cHuffmanSmallRepeatCode = 19, cHuffmanBigRepeatCode = 20
};
static const uint8_t g_huffman_sorted_codelength_codes[] = { cHuffmanSmallZeroRunCode, cHuffmanBigZeroRunCode, cHuffmanSmallRepeatCode, cHuffmanBigRepeatCode, 0, 8, 7, 9, 6, 0xA, 5, 0xB, 4, 0xC, 3, 0xD, 2, 0xE, 1, 0xF, 0x10 };
const uint32_t cHuffmanTotalSortedCodelengthCodes = sizeof(g_huffman_sorted_codelength_codes) / sizeof(g_huffman_sorted_codelength_codes[0]);
// GPU texture formats
enum class texture_format
{
cInvalidTextureFormat = -1,
// Block-based formats
cETC1, // ETC1
cETC1S, // ETC1 (subset: diff colors only, no subblocks)
cETC2_RGB, // ETC2 color block (basisu doesn't support ETC2 planar/T/H modes - just basic ETC1)
cETC2_RGBA, // ETC2 EAC alpha block followed by ETC2 color block
cETC2_ALPHA, // ETC2 EAC alpha block
cBC1, // DXT1
cBC3, // DXT5 (BC4/DXT5A block followed by a BC1/DXT1 block)
cBC4, // DXT5A
cBC5, // 3DC/DXN (two BC4/DXT5A blocks)
cBC7,
cASTC4x4, // LDR only
cPVRTC1_4_RGB,
cPVRTC1_4_RGBA,
cATC_RGB,
cATC_RGBA_INTERPOLATED_ALPHA,
cFXT1_RGB,
cPVRTC2_4_RGBA,
cETC2_R11_EAC,
cETC2_RG11_EAC,
cUASTC4x4,
cBC1_NV,
cBC1_AMD,
// Uncompressed/raw pixels
cRGBA32,
cRGB565,
cBGR565,
cRGBA4444,
cABGR4444
};
inline uint32_t get_bytes_per_block(texture_format fmt)
{
switch (fmt)
{
case texture_format::cETC1:
case texture_format::cETC1S:
case texture_format::cETC2_RGB:
case texture_format::cETC2_ALPHA:
case texture_format::cBC1:
case texture_format::cBC1_NV:
case texture_format::cBC1_AMD:
case texture_format::cBC4:
case texture_format::cPVRTC1_4_RGB:
case texture_format::cPVRTC1_4_RGBA:
case texture_format::cATC_RGB:
case texture_format::cPVRTC2_4_RGBA:
case texture_format::cETC2_R11_EAC:
return 8;
case texture_format::cRGBA32:
return sizeof(uint32_t) * 16;
default:
break;
}
return 16;
}
inline uint32_t get_qwords_per_block(texture_format fmt)
{
return get_bytes_per_block(fmt) >> 3;
}
inline uint32_t get_block_width(texture_format fmt)
{
BASISU_NOTE_UNUSED(fmt);
switch (fmt)
{
case texture_format::cFXT1_RGB:
return 8;
default:
break;
}
return 4;
}
inline uint32_t get_block_height(texture_format fmt)
{
BASISU_NOTE_UNUSED(fmt);
return 4;
}
} // namespace basisu
|
0 | repos/c2z/use_cases/basis_universal/include | repos/c2z/use_cases/basis_universal/include/transcoder/basisu_transcoder_tables_astc_0_255.inc | {0,16,18},{0,12,1},{0,8,0},{0,7,5},{0,10,35},{0,6,21},{0,6,9},{0,4,24},{1,4,36},{0,4,25},{0,16,18},{0,12,1},{0,8,0},{0,7,5},{5,0,35},{0,6,21},{0,6,9},{0,4,24},{10,0,35},{0,4,24},{0,7,0},{0,7,0},{0,7,0},{0,3,0},{0,4,2},{0,3,0},{0,3,0},{0,1,1},{0,2,2},{0,1,1},{0,7,0},
{0,7,0},{0,7,0},{0,3,0},{2,0,2},{0,3,0},{0,3,0},{0,1,1},{4,0,2},{0,1,1},{8,0,18},{0,12,1},{0,8,0},{0,7,5},{8,0,18},{16,0,18},{0,7,5},{0,5,18},{16,0,18},{0,5,18},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,34,36},{3,23,19},{4,17,25},
{3,16,19},{0,34,51},{0,20,18},{0,16,1},{0,13,22},{0,15,68},{0,12,33},{6,28,18},{6,21,0},{6,16,1},{5,15,3},{17,0,51},{1,19,18},{2,15,1},{0,13,22},{34,0,51},{0,13,22},{3,25,18},{3,25,18},{3,25,18},{3,14,18},{0,25,8},{0,16,1},{0,16,1},{0,10,0},{0,12,17},{0,9,5},{6,19,0},{6,19,0},{6,19,0},{6,12,0},{12,0,8},
{4,13,0},{4,13,0},{0,10,0},{25,0,8},{0,10,0},{20,0,18},{6,21,0},{8,16,0},{0,16,0},{20,0,18},{40,0,18},{0,16,0},{0,13,18},{40,0,18},{0,13,18},{3,0,18},{3,0,18},{3,0,18},{3,0,18},{0,19,0},{0,19,0},{0,19,0},{0,9,0},{0,9,4},{0,9,4},{11,42,36},{11,31,19},{12,24,24},{11,24,19},{8,42,51},{8,28,18},{8,24,1},
{7,20,22},{0,27,52},{2,21,18},{14,36,18},{14,29,0},{14,24,1},{13,23,3},{29,0,51},{9,27,18},{10,23,1},{0,21,18},{58,0,51},{0,21,18},{11,33,18},{11,33,18},{11,33,18},{11,22,18},{8,33,8},{8,24,1},{8,24,1},{8,18,0},{2,23,8},{4,18,1},{14,26,0},{14,26,0},{14,26,0},{14,20,0},{24,0,8},{11,22,0},{11,22,0},{6,18,0},{49,0,8},
{6,18,0},{32,0,18},{14,29,0},{15,24,0},{6,24,0},{32,0,18},{64,0,18},{6,24,0},{0,21,18},{64,0,18},{0,21,18},{11,0,18},{11,0,18},{11,0,18},{11,0,18},{8,27,0},{8,27,0},{8,27,0},{8,17,0},{4,19,0},{4,19,0},{19,50,36},{19,39,19},{20,32,24},{19,32,19},{16,50,51},{16,36,18},{16,32,1},{15,28,22},{7,37,51},{10,29,18},{22,43,18},
{22,36,1},{22,32,1},{21,31,3},{41,0,51},{17,35,18},{18,31,1},{8,29,18},{82,0,51},{8,29,18},{19,41,18},{19,41,18},{19,41,18},{19,30,18},{16,41,8},{16,31,1},{16,31,1},{16,26,0},{10,31,8},{12,26,1},{22,34,0},{22,34,0},{22,34,0},{22,28,0},{36,0,8},{18,30,0},{18,30,0},{14,26,0},{73,0,8},{14,26,0},{43,0,18},{20,38,0},{23,32,0},
{14,32,0},{43,0,18},{89,0,18},{14,32,0},{0,29,18},{89,0,18},{0,29,18},{19,0,18},{19,0,18},{19,0,18},{19,0,18},{16,35,0},{16,35,0},{16,35,0},{16,25,0},{12,27,0},{12,27,0},{28,59,36},{28,48,19},{29,41,24},{28,41,19},{25,59,51},{25,45,18},{25,41,1},{24,37,22},{16,46,51},{19,38,18},{31,52,18},{31,45,1},{31,41,1},{30,40,3},{54,0,51},
{24,45,18},{27,40,1},{17,38,18},{110,0,51},{17,38,18},{28,49,18},{28,49,18},{28,49,18},{28,39,18},{25,49,8},{25,40,1},{25,40,1},{25,35,0},{19,40,8},{20,35,1},{31,43,0},{31,43,0},{31,43,0},{31,37,0},{49,0,8},{27,39,0},{27,39,0},{23,35,0},{101,0,8},{23,35,0},{57,0,18},{29,47,0},{32,41,0},{23,41,0},{57,0,18},{116,0,18},{23,41,0},
{0,38,18},{116,0,18},{0,38,18},{28,0,18},{28,0,18},{28,0,18},{28,0,18},{25,43,0},{25,43,0},{25,43,0},{25,34,0},{19,37,0},{19,37,0},{36,66,36},{36,56,19},{37,49,24},{36,49,19},{33,66,51},{33,53,18},{33,49,1},{32,45,22},{23,54,51},{27,46,18},{39,60,18},{39,53,1},{39,49,1},{38,48,3},{66,0,51},{32,53,18},{35,48,1},{25,46,18},{134,0,51},
{25,46,18},{36,57,18},{36,57,18},{36,57,18},{36,47,18},{33,57,8},{33,48,1},{33,48,1},{33,43,0},{25,49,8},{28,43,1},{39,51,0},{39,51,0},{39,51,0},{39,45,0},{61,0,8},{35,47,0},{35,47,0},{31,43,0},{125,0,8},{31,43,0},{69,0,18},{37,55,0},{40,49,0},{31,49,0},{69,0,18},{140,0,18},{31,49,0},{0,46,18},{140,0,18},{0,46,18},{36,0,18},
{36,0,18},{36,0,18},{36,0,18},{33,51,0},{33,51,0},{33,51,0},{33,42,0},{27,45,0},{27,45,0},{44,74,36},{44,64,19},{45,57,24},{44,57,19},{41,74,51},{41,61,18},{41,57,1},{40,53,22},{31,62,51},{35,54,18},{47,68,18},{47,61,1},{47,57,1},{46,56,3},{78,0,51},{40,61,18},{43,56,1},{33,54,18},{158,0,51},{33,54,18},{44,65,18},{44,65,18},{44,65,18},
{44,55,18},{41,65,8},{41,56,1},{41,56,1},{41,51,0},{33,57,8},{36,51,1},{47,59,0},{47,59,0},{47,59,0},{47,53,0},{73,0,8},{43,55,0},{43,55,0},{39,51,0},{149,0,8},{39,51,0},{81,0,18},{45,63,0},{48,57,0},{39,57,0},{81,0,18},{164,0,18},{39,57,0},{0,54,18},{164,0,18},{0,54,18},{44,0,18},{44,0,18},{44,0,18},{44,0,18},{41,59,0},
{41,59,0},{41,59,0},{41,50,0},{35,53,0},{35,53,0},{52,82,36},{52,71,19},{53,65,24},{52,65,19},{49,82,51},{49,68,18},{49,65,1},{48,61,22},{39,70,51},{43,62,18},{55,76,18},{55,69,1},{55,65,1},{54,64,3},{89,0,51},{49,68,18},{51,64,1},{41,62,18},{183,0,51},{41,62,18},{52,73,18},{52,73,18},{52,73,18},{52,63,18},{49,73,8},{49,64,1},{49,64,1},
{49,59,0},{42,64,8},{44,59,1},{55,67,0},{55,67,0},{55,67,0},{55,61,0},{85,0,8},{51,63,0},{51,63,0},{47,59,0},{174,0,8},{47,59,0},{92,0,18},{54,70,0},{56,65,0},{47,65,0},{92,0,18},{189,0,18},{47,65,0},{0,62,18},{189,0,18},{0,62,18},{52,0,18},{52,0,18},{52,0,18},{52,0,18},{49,67,0},{49,67,0},{49,67,0},{49,58,0},{43,61,0},
{43,61,0},{61,91,36},{61,80,19},{62,74,24},{61,73,20},{58,91,51},{58,77,18},{58,73,2},{57,70,22},{48,79,51},{50,71,19},{64,85,18},{64,77,1},{64,74,1},{63,73,3},{103,0,51},{58,77,18},{59,74,1},{49,71,18},{210,0,51},{49,71,18},{61,82,18},{61,82,18},{61,82,18},{61,72,18},{58,82,8},{58,73,1},{58,73,1},{58,68,0},{51,73,8},{53,68,1},{64,76,0},
{64,76,0},{64,76,0},{64,70,0},{98,0,8},{60,72,0},{60,72,0},{56,68,0},{201,0,8},{56,68,0},{106,0,18},{63,79,0},{65,74,0},{55,74,0},{106,0,18},{216,0,18},{55,74,0},{0,71,18},{216,0,18},{0,71,18},{61,0,18},{61,0,18},{61,0,18},{61,0,18},{58,76,0},{58,76,0},{58,76,0},{58,67,0},{53,69,0},{53,69,0},{69,99,36},{69,88,19},{70,82,24},
{69,81,20},{66,99,51},{66,85,18},{66,81,2},{65,79,23},{56,87,51},{58,79,19},{72,93,18},{72,85,1},{72,82,1},{72,80,5},{115,0,51},{66,85,18},{67,82,1},{57,79,18},{234,0,51},{57,79,18},{69,90,18},{69,90,18},{69,90,18},{69,79,18},{66,90,8},{66,81,1},{66,81,1},{66,75,1},{59,81,8},{61,76,1},{72,84,0},{72,84,0},{72,84,0},{72,78,0},{110,0,8},
{69,79,0},{69,79,0},{63,76,0},{225,0,8},{63,76,0},{118,0,18},{71,87,0},{73,82,0},{63,82,0},{118,0,18},{240,0,18},{63,82,0},{0,79,18},{240,0,18},{0,79,18},{69,0,18},{69,0,18},{69,0,18},{69,0,18},{66,84,0},{66,84,0},{66,84,0},{66,75,0},{61,77,0},{61,77,0},{77,107,36},{77,96,19},{78,90,24},{77,89,20},{74,107,51},{74,93,18},{74,89,2},
{73,87,23},{64,95,51},{66,87,19},{80,101,18},{80,93,1},{80,90,1},{80,88,5},{127,0,51},{74,93,18},{75,90,1},{65,87,18},{254,2,51},{65,87,18},{77,98,18},{77,98,18},{77,98,18},{77,87,18},{74,98,8},{74,89,1},{74,89,1},{74,83,1},{67,89,8},{69,84,1},{80,92,0},{80,92,0},{80,92,0},{80,86,0},{122,0,8},{77,87,0},{77,87,0},{71,84,0},{249,0,8},
{71,84,0},{129,0,18},{79,95,0},{81,90,0},{71,90,0},{129,0,18},{254,5,18},{71,90,0},{0,87,18},{254,5,18},{0,87,18},{77,0,18},{77,0,18},{77,0,18},{77,0,18},{74,92,0},{74,92,0},{74,92,0},{74,83,0},{69,85,0},{69,85,0},{85,115,36},{85,104,19},{86,98,24},{85,97,20},{82,115,51},{82,101,18},{82,97,2},{81,95,23},{72,103,51},{74,95,19},{88,109,18},
{88,101,1},{88,98,1},{88,96,5},{138,0,51},{82,101,18},{83,98,1},{73,95,18},{254,14,51},{73,95,18},{85,106,18},{85,106,18},{85,106,18},{85,95,18},{82,106,8},{82,97,1},{82,97,1},{82,91,1},{75,97,8},{77,92,1},{88,100,0},{88,100,0},{88,100,0},{88,94,0},{134,0,8},{85,95,0},{85,95,0},{79,92,0},{255,9,8},{79,92,0},{141,0,18},{87,103,0},{89,98,0},
{79,98,0},{141,0,18},{254,17,18},{79,98,0},{0,95,18},{254,17,18},{0,95,18},{85,0,18},{85,0,18},{85,0,18},{85,0,18},{82,100,0},{82,100,0},{82,100,0},{82,91,0},{77,93,0},{77,93,0},{94,124,36},{94,113,19},{95,107,24},{94,106,20},{91,124,51},{91,110,18},{91,106,2},{90,104,23},{81,112,51},{83,104,19},{97,118,18},{97,110,1},{97,107,1},{97,105,5},{152,0,51},
{91,110,18},{92,107,1},{82,104,18},{255,27,51},{82,104,18},{94,115,18},{94,115,18},{94,115,18},{94,104,18},{91,115,8},{91,106,1},{91,106,1},{91,100,1},{84,106,8},{86,101,1},{97,108,0},{97,108,0},{97,108,0},{97,103,0},{147,0,8},{94,104,0},{94,104,0},{88,101,0},{254,23,8},{88,101,0},{155,0,18},{96,112,0},{98,107,0},{88,107,0},{155,0,18},{255,30,18},{88,107,0},
{0,104,18},{255,30,18},{0,104,18},{94,0,18},{94,0,18},{94,0,18},{94,0,18},{91,109,0},{91,109,0},{91,109,0},{91,100,0},{86,102,0},{86,102,0},{102,132,36},{102,121,19},{102,116,23},{102,114,20},{99,132,51},{99,118,18},{99,114,2},{98,112,23},{89,120,51},{91,112,19},{105,125,18},{105,118,1},{105,115,1},{105,113,5},{164,0,51},{99,118,18},{100,114,1},{90,112,18},{255,39,51},
{90,112,18},{102,123,18},{102,123,18},{102,123,18},{102,112,18},{99,123,8},{99,114,1},{99,114,1},{99,108,1},{92,114,8},{94,109,1},{105,116,0},{105,116,0},{105,116,0},{105,111,0},{159,0,8},{102,112,0},{102,112,0},{96,109,0},{254,35,8},{96,109,0},{167,0,18},{104,120,0},{106,115,0},{96,115,0},{167,0,18},{254,42,18},{96,115,0},{0,112,18},{254,42,18},{0,112,18},{102,0,18},
{102,0,18},{102,0,18},{102,0,18},{99,117,0},{99,117,0},{99,117,0},{99,108,0},{94,110,0},{94,110,0},{110,140,36},{110,130,18},{110,124,23},{110,122,20},{107,140,51},{107,126,18},{107,122,2},{106,120,23},{97,128,51},{99,120,19},{113,133,18},{113,126,1},{113,123,1},{113,121,5},{175,0,51},{107,126,18},{108,122,1},{98,120,18},{254,51,51},{98,120,18},{110,130,18},{110,130,18},{110,130,18},
{110,120,18},{107,131,8},{107,122,1},{107,122,1},{107,116,1},{100,122,8},{102,117,1},{113,124,0},{113,124,0},{113,124,0},{113,119,0},{171,0,8},{110,120,0},{110,120,0},{104,117,0},{255,46,8},{104,117,0},{178,0,18},{112,128,0},{114,123,0},{104,123,0},{178,0,18},{254,54,18},{104,123,0},{0,120,18},{254,54,18},{0,120,18},{110,0,18},{110,0,18},{110,0,18},{110,0,18},{107,124,0},
{107,124,0},{107,124,0},{107,116,0},{102,118,0},{102,118,0},{118,147,36},{118,138,18},{118,132,23},{118,130,20},{115,148,51},{115,134,18},{115,130,2},{114,128,23},{105,136,51},{108,128,18},{121,141,18},{121,134,1},{121,131,1},{121,129,5},{187,0,51},{115,134,18},{116,130,1},{106,128,18},{254,63,51},{106,128,18},{118,138,18},{118,138,18},{118,138,18},{118,128,18},{115,138,8},{115,130,1},{115,130,1},
{115,124,1},{108,130,8},{110,125,1},{121,132,0},{121,132,0},{121,132,0},{121,127,0},{183,0,8},{118,128,0},{118,128,0},{112,125,0},{255,58,8},{112,125,0},{190,0,18},{120,136,0},{122,131,0},{112,131,0},{190,0,18},{254,66,18},{112,131,0},{0,128,18},{254,66,18},{0,128,18},{118,0,18},{118,0,18},{118,0,18},{118,0,18},{115,132,0},{115,132,0},{115,132,0},{115,124,0},{110,126,0},
{110,126,0},{127,156,36},{127,147,18},{127,141,23},{127,139,20},{124,156,51},{124,143,18},{124,139,2},{123,137,23},{114,145,51},{117,137,18},{130,150,18},{130,143,1},{130,140,1},{130,138,5},{201,0,51},{124,143,18},{125,139,1},{115,137,18},{255,76,51},{115,137,18},{127,147,18},{127,147,18},{127,147,18},{127,137,18},{124,147,8},{124,139,1},{124,139,1},{124,133,1},{117,139,8},{119,134,1},{130,141,0},
{130,141,0},{130,141,0},{130,136,0},{196,0,8},{127,137,0},{127,137,0},{121,134,0},{254,72,8},{121,134,0},{204,0,18},{129,145,0},{131,140,0},{121,140,0},{204,0,18},{255,79,18},{121,140,0},{0,137,18},{255,79,18},{0,137,18},{127,0,18},{127,0,18},{127,0,18},{127,0,18},{124,141,0},{124,141,0},{124,141,0},{124,133,0},{119,135,0},{119,135,0},{135,164,36},{135,154,19},{135,149,23},
{135,147,20},{132,164,51},{132,151,18},{132,147,2},{131,145,23},{121,153,51},{125,145,18},{138,158,18},{138,151,1},{138,148,1},{138,146,5},{213,0,51},{131,151,18},{133,147,1},{123,145,18},{254,88,51},{123,145,18},{135,155,18},{135,155,18},{135,155,18},{135,145,18},{132,155,8},{132,147,1},{132,147,1},{132,141,1},{125,147,8},{127,142,1},{138,149,0},{138,149,0},{138,149,0},{138,144,0},{208,0,8},
{135,145,0},{135,145,0},{129,142,0},{254,84,8},{129,142,0},{215,0,18},{137,153,0},{139,148,0},{129,148,0},{215,0,18},{254,91,18},{129,148,0},{0,145,18},{254,91,18},{0,145,18},{135,0,18},{135,0,18},{135,0,18},{135,0,18},{132,149,0},{132,149,0},{132,149,0},{132,141,0},{127,143,0},{127,143,0},{143,172,36},{143,162,19},{143,157,23},{143,155,20},{140,172,51},{140,159,18},{140,155,2},
{139,153,23},{129,161,51},{132,153,19},{146,166,18},{146,159,1},{146,156,1},{146,154,5},{224,0,51},{139,159,18},{141,155,1},{130,153,18},{254,100,51},{130,153,18},{143,163,18},{143,163,18},{143,163,18},{143,153,18},{140,163,8},{140,155,1},{140,155,1},{140,149,1},{132,155,8},{135,150,1},{146,157,0},{146,157,0},{146,157,0},{146,152,0},{220,0,8},{143,153,0},{143,153,0},{137,150,0},{255,95,8},
{137,150,0},{227,0,18},{144,161,0},{147,156,0},{136,156,0},{227,0,18},{254,103,18},{136,156,0},{0,153,18},{254,103,18},{0,153,18},{143,0,18},{143,0,18},{143,0,18},{143,0,18},{140,157,0},{140,157,0},{140,157,0},{140,149,0},{135,151,0},{135,151,0},{151,180,36},{151,170,19},{151,165,23},{151,163,20},{148,180,51},{148,167,18},{148,163,2},{148,160,24},{137,169,51},{140,161,19},{154,174,18},
{154,167,1},{154,164,1},{154,162,5},{236,0,51},{147,167,18},{149,164,1},{138,161,18},{254,112,51},{138,161,18},{151,171,18},{151,171,18},{151,171,18},{151,161,18},{148,171,8},{148,162,1},{148,162,1},{148,157,1},{140,163,8},{143,158,1},{154,165,0},{154,165,0},{154,165,0},{154,160,0},{232,0,8},{150,161,0},{150,161,0},{144,158,0},{255,107,8},{144,158,0},{239,0,18},{152,169,0},{155,164,0},
{144,164,0},{239,0,18},{254,115,18},{144,164,0},{0,161,18},{254,115,18},{0,161,18},{151,0,18},{151,0,18},{151,0,18},{151,0,18},{148,165,0},{148,165,0},{148,165,0},{148,157,0},{142,159,0},{142,159,0},{160,189,36},{160,179,19},{160,174,23},{160,172,20},{157,189,51},{157,176,18},{157,172,2},{157,169,24},{146,178,51},{149,170,19},{163,183,18},{163,176,1},{163,173,1},{163,172,5},{250,0,51},
{156,176,18},{158,173,1},{147,170,18},{255,125,51},{147,170,18},{160,180,18},{160,180,18},{160,180,18},{160,170,18},{157,180,8},{157,171,1},{157,171,1},{157,166,1},{149,172,8},{152,167,1},{163,174,0},{163,174,0},{163,174,0},{163,168,0},{245,0,8},{159,170,0},{159,170,0},{153,167,0},{254,121,8},{153,167,0},{253,0,18},{161,178,0},{164,173,0},{153,173,0},{253,0,18},{254,128,18},{153,173,0},
{0,170,18},{254,128,18},{0,170,18},{160,0,18},{160,0,18},{160,0,18},{160,0,18},{157,174,0},{157,174,0},{157,174,0},{157,165,0},{151,168,0},{151,168,0},{168,197,36},{168,187,19},{168,182,23},{168,180,20},{165,197,51},{165,184,18},{165,180,2},{165,177,24},{154,186,51},{157,178,19},{171,191,18},{171,184,1},{171,181,1},{171,180,5},{255,13,51},{164,184,18},{166,181,1},{155,178,18},{254,137,51},
{155,178,18},{168,188,18},{168,188,18},{168,188,18},{168,178,18},{165,188,8},{165,179,1},{165,179,1},{165,174,1},{157,180,8},{160,175,1},{171,182,0},{171,182,0},{171,182,0},{171,176,0},{255,4,8},{167,178,0},{167,178,0},{161,175,0},{255,132,8},{161,175,0},{255,19,18},{169,186,0},{172,181,0},{161,181,0},{255,19,18},{254,140,18},{161,181,0},{0,178,18},{254,140,18},{0,178,18},{168,0,18},
{168,0,18},{168,0,18},{168,0,18},{165,182,0},{165,182,0},{165,182,0},{165,173,0},{159,176,0},{159,176,0},{176,205,36},{176,195,19},{176,190,23},{176,188,20},{173,205,51},{173,192,18},{173,188,2},{173,185,24},{162,194,51},{165,186,19},{179,199,18},{179,192,1},{179,189,1},{179,188,5},{255,37,51},{172,192,18},{174,189,1},{163,186,18},{254,149,51},{163,186,18},{176,196,18},{176,196,18},{176,196,18},
{176,186,18},{173,196,8},{173,187,1},{173,187,1},{173,182,1},{165,188,8},{168,183,1},{179,190,0},{179,190,0},{179,190,0},{179,184,0},{255,28,8},{175,186,0},{175,186,0},{169,183,0},{255,144,8},{169,183,0},{255,43,18},{177,194,0},{180,189,0},{169,189,0},{255,43,18},{254,152,18},{169,189,0},{0,186,18},{254,152,18},{0,186,18},{176,0,18},{176,0,18},{176,0,18},{176,0,18},{173,190,0},
{173,190,0},{173,190,0},{173,181,0},{167,184,0},{167,184,0},{184,213,36},{184,203,19},{184,197,22},{184,196,20},{181,213,51},{181,200,18},{181,196,2},{181,193,24},{170,202,51},{173,194,19},{187,207,18},{187,201,1},{187,197,0},{187,196,5},{255,61,51},{180,200,18},{182,197,1},{171,194,18},{254,161,51},{171,194,18},{184,204,18},{184,204,18},{184,204,18},{184,194,18},{181,204,8},{181,195,1},{181,195,1},
{181,190,1},{173,196,8},{176,191,1},{187,197,0},{187,197,0},{187,197,0},{187,192,0},{255,52,8},{183,194,0},{183,194,0},{177,191,0},{255,156,8},{177,191,0},{255,67,18},{185,202,0},{187,197,0},{177,197,0},{255,67,18},{254,164,18},{177,197,0},{0,194,18},{254,164,18},{0,194,18},{184,0,18},{184,0,18},{184,0,18},{184,0,18},{181,198,0},{181,198,0},{181,198,0},{181,189,0},{175,192,0},
{175,192,0},{193,222,36},{193,212,18},{193,206,22},{193,205,20},{190,222,51},{189,209,19},{190,206,1},{190,202,24},{179,211,51},{182,203,19},{196,215,18},{196,210,1},{196,206,0},{196,205,5},{255,89,51},{189,209,18},{190,206,1},{180,203,18},{254,174,51},{180,203,18},{193,212,18},{193,212,18},{193,212,18},{193,203,18},{190,213,8},{190,204,1},{190,204,1},{190,199,1},{182,205,8},{185,200,1},{196,206,0},
{196,206,0},{196,206,0},{196,201,0},{255,79,8},{192,203,0},{192,203,0},{186,200,0},{253,170,8},{186,200,0},{255,95,18},{194,211,0},{196,206,0},{186,206,0},{255,95,18},{254,177,18},{186,206,0},{0,203,18},{254,177,18},{0,203,18},{193,0,18},{193,0,18},{193,0,18},{193,0,18},{190,206,0},{190,206,0},{190,206,0},{190,198,0},{184,201,0},{184,201,0},{201,229,36},{201,220,18},{201,214,22},
{201,213,20},{198,230,51},{197,217,19},{198,214,1},{198,210,24},{187,219,51},{190,211,19},{204,223,18},{204,218,1},{204,214,0},{204,213,5},{255,113,51},{197,217,18},{198,214,1},{188,211,18},{254,186,51},{188,211,18},{201,220,18},{201,220,18},{201,220,18},{201,211,18},{198,220,8},{198,212,1},{198,212,1},{198,207,1},{190,213,8},{192,208,1},{204,214,0},{204,214,0},{204,214,0},{204,209,0},{255,104,8},
{200,211,0},{200,211,0},{194,208,0},{255,181,8},{194,208,0},{255,119,18},{202,219,0},{204,214,0},{194,214,0},{255,119,18},{254,189,18},{194,214,0},{0,211,18},{254,189,18},{0,211,18},{201,0,18},{201,0,18},{201,0,18},{201,0,18},{198,214,0},{198,214,0},{198,214,0},{198,206,0},{192,209,0},{192,209,0},{209,237,36},{209,228,18},{209,222,22},{209,221,20},{206,237,51},{205,225,19},{206,222,1},
{206,218,24},{196,226,51},{197,219,19},{212,231,18},{212,226,1},{212,222,0},{212,221,5},{255,137,51},{205,225,18},{206,222,1},{196,219,18},{254,198,51},{196,219,18},{209,228,18},{209,228,18},{209,228,18},{209,219,18},{206,228,8},{206,220,1},{206,220,1},{206,215,1},{198,221,8},{200,216,1},{212,222,0},{212,222,0},{212,222,0},{212,217,0},{255,128,8},{208,219,0},{208,219,0},{202,216,0},{255,193,8},
{202,216,0},{255,143,18},{210,227,0},{212,222,0},{202,222,0},{255,143,18},{254,201,18},{202,222,0},{0,219,18},{254,201,18},{0,219,18},{209,0,18},{209,0,18},{209,0,18},{209,0,18},{206,222,0},{206,222,0},{206,222,0},{206,214,0},{200,217,0},{200,217,0},{217,245,36},{217,236,18},{217,230,22},{217,229,20},{214,245,51},{213,233,19},{214,230,1},{214,226,24},{204,234,51},{205,227,19},{220,239,18},
{220,234,1},{220,230,0},{220,229,5},{255,161,51},{213,233,18},{214,230,1},{204,227,18},{254,210,51},{204,227,18},{217,236,18},{217,236,18},{217,236,18},{217,227,18},{214,236,8},{214,228,1},{214,228,1},{214,223,1},{206,229,8},{208,224,1},{220,230,0},{220,230,0},{220,230,0},{220,225,0},{255,152,8},{216,227,0},{216,227,0},{210,224,0},{255,205,8},{210,224,0},{255,167,18},{218,235,0},{220,230,0},
{210,230,0},{255,167,18},{253,213,18},{210,230,0},{0,227,18},{253,213,18},{0,227,18},{217,0,18},{217,0,18},{217,0,18},{217,0,18},{214,230,0},{214,230,0},{214,230,0},{214,222,0},{208,225,0},{208,225,0},{226,254,36},{226,245,18},{226,239,22},{226,238,20},{223,254,51},{223,241,18},{223,239,1},{223,235,24},{213,243,51},{214,236,19},{229,248,18},{228,243,1},{229,239,0},{229,238,5},{255,189,51},
{223,241,18},{223,239,1},{212,236,18},{254,223,51},{212,236,18},{226,245,18},{226,245,18},{226,245,18},{226,236,18},{223,245,8},{223,237,1},{223,237,1},{223,232,1},{216,237,8},{217,233,1},{229,239,0},{229,239,0},{229,239,0},{229,234,0},{255,180,8},{225,236,0},{225,236,0},{219,233,0},{255,218,8},{219,233,0},{255,195,18},{228,243,0},{229,239,0},{218,239,0},{255,195,18},{254,226,18},{218,239,0},
{0,236,18},{254,226,18},{0,236,18},{226,0,18},{226,0,18},{226,0,18},{226,0,18},{223,239,0},{223,239,0},{223,239,0},{223,231,0},{217,234,0},{217,234,0},{235,254,46},{234,253,18},{234,247,22},{233,246,22},{233,255,56},{231,249,18},{231,247,1},{231,243,24},{221,251,51},{222,244,19},{238,254,19},{237,249,1},{237,247,0},{237,246,5},{255,213,51},{231,249,18},{231,247,1},{220,244,18},{254,235,51},
{220,244,18},{234,253,18},{234,253,18},{234,253,18},{234,244,18},{231,253,8},{231,245,1},{231,245,1},{231,240,1},{224,245,8},{226,241,0},{237,247,0},{237,247,0},{237,247,0},{237,242,0},{255,204,8},{233,244,0},{233,244,0},{226,241,0},{255,230,8},{226,241,0},{255,219,18},{236,251,0},{237,247,0},{226,247,0},{255,219,18},{254,238,18},{226,247,0},{0,244,18},{254,238,18},{0,244,18},{234,0,18},
{234,0,18},{234,0,18},{234,0,18},{231,247,0},{231,247,0},{231,247,0},{231,239,0},{226,241,0},{226,241,0},{245,255,72},{243,255,33},{242,255,22},{241,254,22},{242,255,81},{240,255,21},{239,255,1},{238,251,25},{234,255,56},{230,252,19},{248,255,29},{246,255,5},{245,255,0},{244,254,6},{255,237,51},{240,255,20},{239,255,1},{228,252,18},{254,247,51},{228,252,18},{242,255,22},{242,255,22},{242,255,22},
{242,251,18},{241,254,14},{239,253,1},{239,253,1},{239,249,1},{232,253,8},{234,249,0},{245,255,0},{245,255,0},{245,255,0},{245,250,0},{255,228,8},{242,251,0},{242,251,0},{234,249,0},{255,242,8},{234,249,0},{255,243,18},{246,255,4},{245,255,0},{234,255,0},{255,243,18},{254,250,18},{234,255,0},{0,252,18},{254,250,18},{0,252,18},{242,0,18},{242,0,18},{242,0,18},{242,0,18},{239,255,0},
{239,255,0},{239,255,0},{239,247,0},{234,249,0},{234,249,0},{251,255,28},{251,255,25},{251,255,24},{250,255,19},{251,255,24},{249,255,10},{248,255,9},{247,255,0},{246,255,12},{243,255,1},{254,255,1},{253,255,1},{253,255,1},{253,255,0},{255,249,3},{252,255,0},{252,255,0},{246,255,0},{254,253,3},{246,255,0},{251,255,24},{251,255,24},{251,255,24},{250,255,19},{250,254,19},{248,255,9},{248,255,9},
{247,255,0},{246,255,8},{243,255,1},{253,254,1},{253,254,1},{253,254,1},{253,255,0},{255,249,2},{252,255,0},{252,255,0},{246,255,0},{254,253,2},{246,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{250,0,18},{250,0,18},{250,0,18},{250,0,18},{248,255,5},{248,255,5},{248,255,5},{247,255,0},{243,255,1},
{243,255,1},{0,34,72},{0,24,5},{0,17,0},{0,13,25},{0,22,153},{0,15,90},{0,13,41},{0,10,110},{0,9,162},{0,8,119},{0,34,72},{0,24,5},{0,17,0},{0,13,25},{11,0,153},{0,15,90},{0,13,41},{0,10,110},{22,0,153},{0,10,110},{0,16,0},{0,16,0},{0,16,0},{0,8,0},{0,7,13},{0,6,2},{0,6,2},{0,4,5},{0,3,13},{0,4,6},{0,16,0},
{0,16,0},{0,16,0},{0,8,0},{3,0,13},{0,6,2},{0,6,2},{0,4,5},{7,0,13},{0,4,5},{17,0,72},{0,24,5},{0,17,0},{0,13,25},{17,0,72},{34,0,72},{0,13,25},{0,11,72},{34,0,72},{0,11,72},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,54,77},{2,37,5},{3,25,18},
{1,23,13},{0,43,243},{0,27,99},{0,23,24},{0,16,139},{0,18,276},{0,16,164},{3,52,72},{3,36,0},{4,26,6},{2,24,11},{21,0,243},{0,27,99},{0,23,24},{0,16,139},{43,0,243},{0,16,139},{2,36,5},{2,36,5},{2,36,5},{1,19,5},{0,25,50},{0,18,5},{0,18,5},{0,10,18},{0,12,59},{0,10,27},{3,34,0},{3,34,0},{3,34,0},{3,18,0},{12,0,50},
{0,18,5},{0,18,5},{0,10,18},{25,0,50},{0,10,18},{29,0,72},{3,36,0},{8,25,0},{0,23,8},{29,0,72},{58,0,72},{0,23,8},{0,19,72},{58,0,72},{0,19,72},{1,0,5},{1,0,5},{1,0,5},{1,0,5},{0,10,0},{0,10,0},{0,10,0},{0,5,0},{0,3,1},{0,3,1},{6,70,133},{6,46,65},{7,35,94},{5,33,65},{0,67,243},{0,39,75},{0,32,2},
{0,25,105},{0,30,332},{0,24,164},{11,60,72},{11,44,0},{12,34,6},{10,32,11},{33,0,243},{0,39,75},{1,32,1},{0,25,105},{67,0,243},{0,25,105},{6,52,61},{6,52,61},{6,52,61},{5,29,61},{0,49,50},{0,32,1},{0,32,1},{0,19,5},{0,21,94},{0,18,35},{11,42,0},{11,42,0},{11,42,0},{11,26,0},{24,0,50},{3,30,0},{3,30,0},{0,19,5},{49,0,50},
{0,19,5},{41,0,72},{11,44,0},{16,33,0},{0,32,1},{41,0,72},{82,0,72},{0,32,1},{0,27,72},{82,0,72},{0,27,72},{5,0,61},{5,0,61},{5,0,61},{5,0,61},{0,34,0},{0,34,0},{0,34,0},{0,17,0},{0,15,17},{0,15,17},{13,80,144},{13,56,77},{15,43,109},{12,40,76},{7,77,243},{7,49,73},{7,41,1},{5,33,100},{0,42,287},{0,33,98},{19,68,72},
{19,52,0},{20,42,6},{18,40,11},{45,0,243},{4,50,72},{9,40,1},{0,34,83},{92,0,243},{0,34,83},{13,62,72},{13,62,72},{13,62,72},{13,37,72},{7,59,50},{7,41,1},{7,41,1},{6,28,3},{0,36,66},{0,29,4},{19,50,0},{19,50,0},{19,50,0},{19,34,0},{36,0,50},{11,38,0},{11,38,0},{0,29,0},{73,0,50},{0,29,0},{52,0,72},{18,52,0},{23,41,0},
{5,41,0},{52,0,72},{107,0,72},{5,41,0},{0,35,72},{107,0,72},{0,35,72},{13,0,72},{13,0,72},{13,0,72},{13,0,72},{7,44,0},{7,44,0},{7,44,0},{7,25,0},{0,27,2},{0,27,2},{22,89,144},{22,65,77},{24,52,109},{21,49,76},{16,86,243},{16,58,73},{16,50,1},{14,42,100},{0,57,248},{3,43,75},{28,77,72},{28,61,0},{29,50,5},{27,49,11},{58,0,243},
{13,59,72},{18,49,1},{0,44,73},{119,0,243},{0,44,73},{22,71,72},{22,71,72},{22,71,72},{22,46,72},{16,68,50},{16,50,1},{16,50,1},{15,37,3},{0,49,50},{6,38,1},{28,59,0},{28,59,0},{28,59,0},{28,43,0},{49,0,50},{20,47,0},{20,47,0},{8,38,0},{101,0,50},{8,38,0},{66,0,72},{27,61,0},{32,50,0},{13,50,0},{66,0,72},{134,0,72},{13,50,0},
{0,44,72},{134,0,72},{0,44,72},{22,0,72},{22,0,72},{22,0,72},{22,0,72},{16,53,0},{16,53,0},{16,53,0},{16,34,0},{6,39,0},{6,39,0},{30,97,144},{30,73,77},{32,59,106},{30,56,77},{24,94,243},{24,66,73},{24,58,2},{22,50,100},{2,69,243},{10,51,76},{36,85,72},{36,67,1},{37,58,5},{35,57,11},{70,0,243},{21,67,72},{26,58,1},{3,52,72},{143,0,243},
{3,52,72},{30,79,72},{30,79,72},{30,79,72},{30,54,72},{24,76,50},{25,56,2},{25,56,2},{23,45,3},{8,57,50},{14,46,1},{36,66,0},{36,66,0},{36,66,0},{36,51,0},{61,0,50},{27,56,0},{27,56,0},{16,46,0},{125,0,50},{16,46,0},{78,0,72},{35,69,0},{40,58,0},{21,58,0},{78,0,72},{158,0,72},{21,58,0},{0,52,72},{158,0,72},{0,52,72},{30,0,72},
{30,0,72},{30,0,72},{30,0,72},{24,61,0},{24,61,0},{24,61,0},{24,42,0},{14,47,0},{14,47,0},{38,105,144},{38,81,77},{40,67,106},{38,64,77},{32,102,243},{32,74,73},{32,66,2},{30,59,103},{10,77,243},{18,59,76},{44,93,72},{44,75,1},{45,66,5},{44,63,13},{82,0,243},{29,75,72},{33,66,1},{11,60,72},{167,0,243},{11,60,72},{38,87,72},{38,87,72},{38,87,72},
{38,62,72},{32,84,50},{33,64,2},{33,64,2},{31,53,3},{16,65,50},{22,54,1},{44,74,0},{44,74,0},{44,74,0},{44,59,0},{73,0,50},{35,63,0},{35,63,0},{23,54,0},{149,0,50},{23,54,0},{89,0,72},{43,77,0},{48,66,0},{29,66,0},{89,0,72},{183,0,72},{29,66,0},{0,60,72},{183,0,72},{0,60,72},{38,0,72},{38,0,72},{38,0,72},{38,0,72},{32,69,0},
{32,69,0},{32,69,0},{32,50,0},{21,55,0},{21,55,0},{46,113,144},{46,88,76},{48,75,106},{46,72,77},{40,110,243},{40,82,73},{40,73,2},{38,67,103},{18,85,243},{26,67,76},{52,100,72},{52,83,1},{53,74,5},{52,72,13},{94,0,243},{37,83,72},{41,74,1},{19,68,72},{192,0,243},{19,68,72},{46,95,72},{46,95,72},{46,95,72},{46,70,72},{40,92,50},{40,73,1},{40,73,1},
{39,61,3},{24,73,50},{30,62,1},{52,82,0},{52,82,0},{52,82,0},{52,67,0},{85,0,50},{43,71,0},{43,71,0},{31,62,0},{174,0,50},{31,62,0},{101,0,72},{51,85,0},{56,74,0},{37,74,0},{101,0,72},{207,0,72},{37,74,0},{0,68,72},{207,0,72},{0,68,72},{46,0,72},{46,0,72},{46,0,72},{46,0,72},{40,76,0},{40,76,0},{40,76,0},{40,58,0},{29,63,0},
{29,63,0},{55,122,144},{55,97,76},{57,84,106},{55,81,77},{49,119,243},{48,91,74},{49,82,2},{47,76,103},{27,94,243},{35,76,76},{61,109,72},{61,92,1},{62,83,5},{61,81,13},{107,0,243},{46,92,72},{50,83,1},{28,77,72},{219,0,243},{28,77,72},{55,103,72},{55,103,72},{55,103,72},{55,79,72},{49,101,50},{49,82,1},{49,82,1},{49,69,5},{33,82,50},{38,71,1},{61,91,0},
{61,91,0},{61,91,0},{61,76,0},{98,0,50},{52,80,0},{52,80,0},{40,71,0},{201,0,50},{40,71,0},{115,0,72},{60,94,0},{65,83,0},{46,83,0},{115,0,72},{234,0,72},{46,83,0},{0,77,72},{234,0,72},{0,77,72},{55,0,72},{55,0,72},{55,0,72},{55,0,72},{49,85,0},{49,85,0},{49,85,0},{49,67,0},{38,72,0},{38,72,0},{63,130,144},{63,105,76},{65,92,106},
{63,89,77},{57,127,243},{56,99,74},{57,90,2},{55,84,103},{35,102,243},{42,84,76},{69,117,72},{69,100,1},{70,91,5},{69,89,13},{119,0,243},{54,100,72},{58,91,1},{36,85,72},{243,0,243},{36,85,72},{63,111,72},{63,111,72},{63,111,72},{63,87,72},{57,108,50},{57,90,1},{57,90,1},{57,77,5},{41,90,50},{46,79,1},{69,99,0},{69,99,0},{69,99,0},{69,84,0},{110,0,50},
{60,88,0},{60,88,0},{48,79,0},{225,0,50},{48,79,0},{127,0,72},{68,102,0},{73,91,0},{54,91,0},{127,0,72},{254,2,72},{54,91,0},{0,85,72},{254,2,72},{0,85,72},{63,0,72},{63,0,72},{63,0,72},{63,0,72},{57,93,0},{57,93,0},{57,93,0},{57,75,0},{46,80,0},{46,80,0},{71,137,144},{71,113,76},{73,100,106},{71,97,77},{65,135,243},{64,107,74},{65,98,2},
{63,92,103},{44,109,243},{50,92,76},{77,125,72},{77,108,1},{78,99,5},{77,97,13},{131,0,243},{62,108,72},{66,99,1},{44,93,72},{255,6,243},{44,93,72},{71,119,72},{71,119,72},{71,119,72},{71,95,72},{65,116,50},{65,98,1},{65,98,1},{65,85,5},{49,98,50},{54,87,1},{77,107,0},{77,107,0},{77,107,0},{77,92,0},{122,0,50},{68,96,0},{68,96,0},{56,87,0},{249,0,50},
{56,87,0},{138,0,72},{76,110,0},{81,99,0},{62,99,0},{138,0,72},{254,14,72},{62,99,0},{0,93,72},{254,14,72},{0,93,72},{71,0,72},{71,0,72},{71,0,72},{71,0,72},{65,101,0},{65,101,0},{65,101,0},{65,83,0},{54,88,0},{54,88,0},{79,145,144},{79,121,76},{81,108,106},{79,105,77},{73,142,243},{72,115,74},{73,106,2},{71,100,103},{52,117,243},{58,100,76},{85,133,72},
{85,116,1},{86,107,5},{85,105,13},{143,0,243},{70,116,72},{74,107,1},{52,101,72},{255,18,243},{52,101,72},{79,127,72},{79,127,72},{79,127,72},{79,103,72},{73,124,50},{73,106,1},{73,106,1},{73,93,5},{57,106,50},{62,95,1},{85,115,0},{85,115,0},{85,115,0},{85,100,0},{134,0,50},{76,104,0},{76,104,0},{64,95,0},{255,9,50},{64,95,0},{150,0,72},{84,118,0},{89,107,0},
{70,107,0},{150,0,72},{254,26,72},{70,107,0},{0,101,72},{254,26,72},{0,101,72},{79,0,72},{79,0,72},{79,0,72},{79,0,72},{73,109,0},{73,109,0},{73,109,0},{73,91,0},{62,96,0},{62,96,0},{88,154,144},{88,130,76},{90,117,106},{88,114,77},{82,151,243},{81,124,74},{82,115,2},{80,109,103},{61,126,243},{67,109,76},{94,142,72},{94,125,1},{95,116,5},{94,114,13},{156,0,243},
{79,125,72},{83,116,1},{61,110,72},{254,32,243},{61,110,72},{88,136,72},{88,136,72},{88,136,72},{88,112,72},{82,133,50},{82,115,1},{82,115,1},{82,102,5},{66,115,50},{71,104,1},{94,124,0},{94,124,0},{94,124,0},{94,109,0},{147,0,50},{85,113,0},{85,113,0},{73,104,0},{254,23,50},{73,104,0},{164,0,72},{93,127,0},{98,116,0},{79,116,0},{164,0,72},{255,39,72},{79,116,0},
{0,110,72},{255,39,72},{0,110,72},{88,0,72},{88,0,72},{88,0,72},{88,0,72},{82,118,0},{82,118,0},{82,118,0},{82,100,0},{71,105,0},{71,105,0},{96,162,144},{96,138,76},{98,125,106},{96,122,77},{90,159,243},{90,131,73},{90,123,2},{88,117,103},{69,134,243},{75,117,76},{102,150,72},{102,133,1},{103,124,5},{102,122,13},{168,0,243},{88,132,72},{91,124,1},{69,118,72},{255,43,243},
{69,118,72},{96,144,72},{96,144,72},{96,144,72},{96,120,72},{90,141,50},{90,123,1},{90,123,1},{90,110,5},{74,123,50},{79,112,1},{102,132,0},{102,132,0},{102,132,0},{102,117,0},{159,0,50},{93,121,0},{93,121,0},{81,112,0},{254,35,50},{81,112,0},{175,0,72},{101,135,0},{106,124,0},{87,124,0},{175,0,72},{254,51,72},{87,124,0},{0,118,72},{254,51,72},{0,118,72},{96,0,72},
{96,0,72},{96,0,72},{96,0,72},{90,126,0},{90,126,0},{90,126,0},{90,108,0},{79,113,0},{79,113,0},{104,170,144},{104,146,76},{106,133,106},{104,130,77},{98,167,243},{98,139,73},{98,131,2},{96,125,103},{77,142,243},{83,125,76},{110,158,72},{110,142,0},{111,132,5},{110,130,13},{180,0,243},{96,140,72},{99,132,1},{76,126,72},{255,55,243},{76,126,72},{104,152,72},{104,152,72},{104,152,72},
{104,128,72},{98,149,50},{98,131,1},{98,131,1},{98,118,5},{83,130,50},{87,120,1},{110,140,0},{110,140,0},{110,140,0},{110,125,0},{171,0,50},{101,129,0},{101,129,0},{89,120,0},{255,46,50},{89,120,0},{187,0,72},{110,142,0},{114,132,0},{94,132,0},{187,0,72},{254,63,72},{94,132,0},{0,126,72},{254,63,72},{0,126,72},{104,0,72},{104,0,72},{104,0,72},{104,0,72},{98,134,0},
{98,134,0},{98,134,0},{98,116,0},{87,121,0},{87,121,0},{112,178,144},{112,154,76},{114,140,105},{112,138,77},{106,175,243},{106,147,73},{106,139,2},{104,133,103},{85,150,243},{91,133,76},{118,166,72},{118,149,1},{119,140,5},{118,138,13},{192,0,243},{104,148,72},{107,140,1},{84,134,72},{255,67,243},{84,134,72},{112,160,72},{112,160,72},{112,160,72},{112,136,72},{106,157,50},{106,139,1},{106,139,1},
{106,126,5},{91,138,50},{95,128,1},{118,147,0},{118,147,0},{118,147,0},{118,133,0},{183,0,50},{109,137,0},{109,137,0},{97,128,0},{255,58,50},{97,128,0},{199,0,72},{117,151,0},{122,140,0},{102,140,0},{199,0,72},{254,75,72},{102,140,0},{0,134,72},{254,75,72},{0,134,72},{112,0,72},{112,0,72},{112,0,72},{112,0,72},{106,142,0},{106,142,0},{106,142,0},{106,124,0},{95,129,0},
{95,129,0},{121,187,144},{121,163,76},{122,151,103},{121,148,77},{115,184,243},{115,156,73},{115,148,2},{112,141,105},{94,159,243},{100,142,76},{127,175,72},{127,158,1},{128,149,5},{127,147,13},{205,0,243},{113,157,72},{116,149,1},{93,143,72},{254,81,243},{93,143,72},{121,169,72},{121,169,72},{121,169,72},{121,145,72},{115,166,50},{115,148,1},{115,148,1},{115,135,5},{100,147,50},{104,137,1},{127,156,0},
{127,156,0},{127,156,0},{127,142,0},{196,0,50},{117,146,0},{117,146,0},{106,137,0},{254,72,50},{106,137,0},{213,0,72},{125,160,0},{131,149,0},{111,149,0},{213,0,72},{254,88,72},{111,149,0},{0,143,72},{254,88,72},{0,143,72},{121,0,72},{121,0,72},{121,0,72},{121,0,72},{115,151,0},{115,151,0},{115,151,0},{115,133,0},{104,138,0},{104,138,0},{129,195,144},{129,170,76},{130,159,103},
{129,156,77},{123,192,243},{123,164,73},{123,156,2},{122,149,106},{102,167,243},{108,150,76},{135,182,72},{135,166,1},{136,157,5},{134,155,14},{217,0,243},{121,165,72},{124,157,1},{101,151,72},{255,92,243},{101,151,72},{129,177,72},{129,177,72},{129,177,72},{129,152,72},{123,174,50},{123,155,1},{123,155,1},{123,143,5},{108,155,50},{113,145,0},{135,164,0},{135,164,0},{135,164,0},{135,150,0},{208,0,50},
{125,154,0},{125,154,0},{113,145,0},{254,84,50},{113,145,0},{224,0,72},{133,168,0},{139,157,0},{119,157,0},{224,0,72},{254,100,72},{119,157,0},{0,151,72},{254,100,72},{0,151,72},{129,0,72},{129,0,72},{129,0,72},{129,0,72},{123,158,0},{123,158,0},{123,158,0},{123,141,0},{113,145,0},{113,145,0},{137,203,144},{137,178,76},{138,167,103},{137,164,77},{131,200,243},{130,173,74},{131,164,2},
{130,157,106},{110,175,243},{116,158,76},{143,190,72},{143,174,1},{144,165,5},{142,163,14},{229,0,243},{129,173,72},{132,165,1},{109,159,72},{255,104,243},{109,159,72},{137,184,72},{137,184,72},{137,184,72},{137,160,72},{131,182,50},{131,163,1},{131,163,1},{131,152,5},{116,163,50},{120,153,1},{143,172,0},{143,172,0},{143,172,0},{143,157,0},{220,0,50},{133,162,0},{133,162,0},{121,153,0},{255,95,50},
{121,153,0},{236,0,72},{141,176,0},{147,165,0},{127,165,0},{236,0,72},{254,112,72},{127,165,0},{0,159,72},{254,112,72},{0,159,72},{137,0,72},{137,0,72},{137,0,72},{137,0,72},{131,166,0},{131,166,0},{131,166,0},{131,149,0},{120,154,0},{120,154,0},{145,211,144},{145,186,76},{146,175,103},{145,172,77},{139,208,243},{138,181,74},{139,172,2},{138,165,106},{118,183,243},{124,166,76},{151,198,72},
{151,182,1},{152,173,5},{150,171,14},{241,0,243},{135,182,72},{140,173,1},{117,167,72},{255,116,243},{117,167,72},{145,192,72},{145,192,72},{145,192,72},{145,168,72},{139,189,50},{139,171,1},{139,171,1},{139,160,5},{124,171,50},{128,161,1},{151,180,0},{151,180,0},{151,180,0},{151,165,0},{232,0,50},{141,170,0},{141,170,0},{129,161,0},{255,107,50},{129,161,0},{248,0,72},{149,184,0},{155,173,0},
{135,173,0},{248,0,72},{254,124,72},{135,173,0},{0,167,72},{254,124,72},{0,167,72},{145,0,72},{145,0,72},{145,0,72},{145,0,72},{139,174,0},{139,174,0},{139,174,0},{139,156,0},{127,162,0},{127,162,0},{154,219,144},{154,195,76},{155,184,103},{154,181,77},{148,217,243},{147,190,74},{148,181,2},{147,174,106},{126,192,243},{133,175,76},{160,207,72},{160,191,1},{161,182,5},{159,180,14},{254,0,243},
{144,191,72},{149,182,1},{126,176,72},{255,129,243},{126,176,72},{154,201,72},{154,201,72},{154,201,72},{154,177,72},{148,198,50},{148,180,1},{148,180,1},{148,169,5},{132,181,50},{137,170,1},{160,189,0},{160,189,0},{160,189,0},{160,174,0},{245,0,50},{150,179,0},{150,179,0},{138,170,0},{254,121,50},{138,170,0},{255,13,72},{158,193,0},{164,182,0},{144,182,0},{255,13,72},{254,137,72},{144,182,0},
{0,176,72},{254,137,72},{0,176,72},{154,0,72},{154,0,72},{154,0,72},{154,0,72},{148,183,0},{148,183,0},{148,183,0},{148,165,0},{136,171,0},{136,171,0},{162,227,144},{162,203,76},{163,192,103},{162,189,77},{156,224,243},{155,198,74},{156,189,2},{155,182,106},{134,200,243},{141,183,76},{168,215,72},{168,199,1},{169,190,5},{167,188,14},{255,22,243},{152,199,72},{157,190,1},{134,184,72},{255,141,243},
{134,184,72},{162,209,72},{162,209,72},{162,209,72},{162,185,72},{156,206,50},{156,188,1},{156,188,1},{156,177,5},{139,189,50},{145,178,1},{168,197,0},{168,197,0},{168,197,0},{168,182,0},{255,4,50},{158,187,0},{158,187,0},{146,178,0},{255,132,50},{146,178,0},{255,37,72},{166,201,0},{172,190,0},{152,190,0},{255,37,72},{254,149,72},{152,190,0},{0,184,72},{254,149,72},{0,184,72},{162,0,72},
{162,0,72},{162,0,72},{162,0,72},{156,191,0},{156,191,0},{156,191,0},{156,173,0},{144,179,0},{144,179,0},{170,235,144},{170,211,76},{171,200,103},{170,197,77},{164,232,243},{163,206,74},{164,197,2},{163,190,106},{142,208,243},{149,191,76},{176,223,72},{176,207,1},{177,198,5},{175,196,14},{255,46,243},{160,207,72},{165,198,1},{142,192,72},{255,153,243},{142,192,72},{170,217,72},{170,217,72},{170,217,72},
{170,193,72},{164,214,50},{164,196,1},{164,196,1},{164,185,5},{147,197,50},{153,186,1},{176,205,0},{176,205,0},{176,205,0},{176,190,0},{255,28,50},{166,195,0},{166,195,0},{154,186,0},{255,144,50},{154,186,0},{255,61,72},{174,209,0},{180,198,0},{160,198,0},{255,61,72},{254,161,72},{160,198,0},{0,192,72},{254,161,72},{0,192,72},{170,0,72},{170,0,72},{170,0,72},{170,0,72},{164,199,0},
{164,199,0},{164,199,0},{164,181,0},{152,187,0},{152,187,0},{178,243,144},{178,219,76},{179,208,103},{178,205,77},{172,240,243},{171,214,74},{172,205,2},{171,198,106},{150,216,243},{157,199,76},{184,231,72},{184,215,1},{185,206,5},{183,204,14},{255,70,243},{169,214,72},{173,206,1},{150,200,72},{255,165,243},{150,200,72},{178,225,72},{178,225,72},{178,225,72},{178,201,72},{172,222,50},{172,204,1},{172,204,1},
{172,193,5},{155,205,50},{161,194,1},{184,213,0},{184,213,0},{184,213,0},{184,198,0},{255,52,50},{174,203,0},{174,203,0},{162,194,0},{255,156,50},{162,194,0},{255,86,72},{182,217,0},{188,206,0},{168,206,0},{255,86,72},{255,172,72},{168,206,0},{0,200,72},{255,172,72},{0,200,72},{178,0,72},{178,0,72},{178,0,72},{178,0,72},{172,207,0},{172,207,0},{172,207,0},{172,189,0},{160,195,0},
{160,195,0},{187,252,144},{187,228,76},{188,217,103},{187,214,77},{181,249,243},{180,222,74},{181,214,2},{180,207,106},{159,225,243},{166,208,76},{193,240,72},{193,224,1},{194,216,3},{192,213,14},{255,98,243},{178,223,72},{182,215,1},{158,209,72},{255,178,243},{158,209,72},{187,234,72},{187,234,72},{187,234,72},{187,210,72},{181,231,50},{181,213,1},{181,213,1},{181,202,5},{165,213,50},{170,203,1},{193,222,0},
{193,222,0},{193,222,0},{193,207,0},{255,79,50},{183,212,0},{183,212,0},{171,203,0},{253,170,50},{171,203,0},{255,113,72},{192,225,0},{196,215,0},{177,215,0},{255,113,72},{254,186,72},{177,215,0},{0,209,72},{254,186,72},{0,209,72},{187,0,72},{187,0,72},{187,0,72},{187,0,72},{181,216,0},{181,216,0},{181,216,0},{181,198,0},{169,204,0},{169,204,0},{196,255,148},{195,236,76},{196,225,103},
{195,222,77},{189,254,244},{188,230,74},{189,222,2},{188,215,106},{167,233,243},{173,217,77},{201,248,72},{201,231,1},{202,224,3},{200,221,14},{255,122,243},{186,231,72},{189,222,2},{166,217,72},{255,190,243},{166,217,72},{195,242,72},{195,242,72},{195,242,72},{195,218,72},{189,239,50},{189,221,1},{189,221,1},{189,210,5},{173,221,50},{178,211,1},{201,229,0},{201,229,0},{201,229,0},{201,215,0},{255,104,50},
{191,220,0},{191,220,0},{179,211,0},{255,181,50},{179,211,0},{255,137,72},{200,233,0},{204,223,0},{184,223,0},{255,137,72},{254,198,72},{184,223,0},{0,217,72},{254,198,72},{0,217,72},{195,0,72},{195,0,72},{195,0,72},{195,0,72},{189,224,0},{189,224,0},{189,224,0},{189,206,0},{177,212,0},{177,212,0},{205,255,170},{203,244,76},{204,232,100},{202,230,79},{199,255,255},{196,238,74},{197,231,2},
{196,223,106},{175,241,243},{181,225,77},{210,254,73},{209,239,1},{210,232,3},{208,229,14},{255,146,243},{194,239,72},{198,230,2},{174,225,72},{255,202,243},{174,225,72},{203,250,72},{203,250,72},{203,250,72},{203,226,72},{197,247,50},{197,229,1},{197,229,1},{197,218,5},{181,229,50},{186,219,1},{209,237,0},{209,237,0},{209,237,0},{209,223,0},{255,128,50},{199,228,0},{199,228,0},{187,219,0},{255,193,50},
{187,219,0},{255,161,72},{208,241,0},{212,231,0},{192,231,0},{255,161,72},{254,210,72},{192,231,0},{0,225,72},{254,210,72},{0,225,72},{203,0,72},{203,0,72},{203,0,72},{203,0,72},{197,232,0},{197,232,0},{197,232,0},{197,214,0},{185,220,0},{185,220,0},{215,255,208},{212,252,75},{212,240,100},{210,238,79},{211,255,287},{204,246,74},{205,239,1},{203,231,109},{183,249,243},{189,233,77},{218,255,81},
{217,247,1},{218,240,3},{215,237,17},{255,171,243},{202,247,72},{205,239,1},{182,233,72},{254,214,243},{182,233,72},{211,255,73},{211,255,73},{211,255,73},{211,234,72},{205,255,50},{205,237,1},{205,237,1},{205,226,5},{189,237,50},{194,227,0},{217,245,0},{217,245,0},{217,245,0},{217,231,0},{255,152,50},{208,235,0},{208,235,0},{194,227,0},{255,205,50},{194,227,0},{255,186,72},{216,249,0},{220,239,0},
{200,239,0},{255,186,72},{255,221,72},{200,239,0},{0,233,72},{255,221,72},{0,233,72},{211,0,72},{211,0,72},{211,0,72},{211,0,72},{205,239,0},{205,239,0},{205,239,0},{205,222,0},{194,227,0},{194,227,0},{224,255,274},{222,255,98},{221,249,100},{219,247,79},{221,255,332},{213,255,74},{214,248,1},{212,240,109},{195,255,245},{198,242,77},{230,255,106},{226,255,4},{227,249,3},{224,246,17},{255,198,243},
{213,255,73},{214,248,1},{191,242,72},{255,227,243},{191,242,72},{221,255,83},{221,255,83},{221,255,83},{220,243,72},{215,255,59},{214,246,1},{214,246,1},{213,234,6},{198,246,50},{203,236,0},{226,254,0},{226,254,0},{226,254,0},{226,240,0},{255,180,50},{217,244,0},{217,244,0},{203,236,0},{255,218,50},{203,236,0},{255,213,72},{228,255,2},{229,248,0},{209,248,0},{255,213,72},{254,235,72},{209,248,0},
{0,242,72},{254,235,72},{0,242,72},{220,0,72},{220,0,72},{220,0,72},{220,0,72},{214,248,0},{214,248,0},{214,248,0},{214,231,0},{203,236,0},{203,236,0},{233,255,327},{231,255,164},{230,255,105},{228,253,77},{230,255,370},{225,255,95},{222,254,2},{220,248,94},{213,255,262},{208,249,65},{239,255,126},{237,255,35},{235,255,5},{234,253,13},{255,219,221},{228,255,82},{223,254,1},{201,249,61},{254,238,221},
{201,249,61},{230,255,105},{230,255,105},{230,255,105},{228,251,72},{227,255,83},{222,254,1},{222,254,1},{221,243,6},{206,254,50},{211,244,0},{235,254,5},{235,254,5},{235,254,5},{234,248,0},{255,204,50},{225,252,0},{225,252,0},{211,244,0},{255,230,50},{211,244,0},{255,234,61},{240,255,17},{238,255,0},{219,255,0},{255,234,61},{255,245,61},{219,255,0},{0,249,61},{255,245,61},{0,249,61},{228,0,72},
{228,0,72},{228,0,72},{228,0,72},{222,253,1},{222,253,1},{222,253,1},{222,239,0},{211,244,0},{211,244,0},{242,255,233},{239,255,164},{239,255,139},{237,255,78},{239,255,239},{234,255,62},{232,255,24},{230,252,18},{225,255,158},{218,253,5},{248,255,53},{245,255,27},{245,255,18},{242,255,1},{255,237,93},{240,255,26},{237,255,5},{217,253,5},{254,247,93},{217,253,5},{239,255,139},{239,255,139},{239,255,139},
{237,255,78},{236,255,118},{232,255,24},{232,255,24},{229,251,6},{222,255,67},{219,252,0},{245,255,18},{245,255,18},{245,255,18},{242,254,1},{255,228,50},{237,255,5},{237,255,5},{219,252,0},{255,242,50},{219,252,0},{255,246,5},{251,254,1},{250,255,0},{243,255,0},{255,246,5},{255,251,5},{243,255,0},{0,253,5},{255,251,5},{0,253,5},{236,0,72},{236,0,72},{236,0,72},{236,0,72},{232,254,8},
{232,254,8},{232,254,8},{230,247,0},{219,252,0},{219,252,0},{248,255,136},{245,255,119},{245,255,110},{244,255,81},{245,255,122},{243,255,52},{241,255,41},{238,255,0},{237,255,75},{231,255,5},{251,255,9},{251,255,6},{251,255,5},{250,255,1},{255,246,17},{249,255,3},{249,255,2},{237,255,0},{255,251,17},{237,255,0},{245,255,110},{245,255,110},{245,255,110},{244,255,81},{245,255,86},{241,255,41},{241,255,41},
{238,255,0},{234,255,46},{231,255,5},{251,255,5},{251,255,5},{251,255,5},{250,255,1},{255,243,13},{249,255,2},{249,255,2},{237,255,0},{254,250,13},{237,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{244,0,72},{244,0,72},{244,0,72},{244,0,72},{241,254,25},{241,254,25},{241,254,25},{238,255,0},{231,255,5},
{231,255,5},{0,58,200},{0,42,17},{0,29,0},{0,25,65},{0,40,441},{0,27,266},{0,23,121},{0,16,318},{0,18,467},{0,16,343},{0,58,200},{0,42,17},{0,29,0},{0,25,65},{20,0,441},{0,27,266},{0,23,121},{0,16,318},{40,0,441},{0,16,318},{0,28,0},{0,28,0},{0,28,0},{0,14,0},{0,13,41},{0,12,10},{0,12,10},{0,7,20},{0,6,42},{0,7,24},{0,28,0},
{0,28,0},{0,28,0},{0,14,0},{6,0,41},{0,12,10},{0,12,10},{0,7,20},{13,0,41},{0,7,20},{29,0,200},{0,42,17},{0,29,0},{0,25,65},{29,0,200},{58,0,200},{0,25,65},{0,19,200},{58,0,200},{0,19,200},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,82,200},{0,54,1},{1,38,19},
{0,34,34},{0,55,686},{0,36,339},{0,30,139},{0,22,446},{0,24,747},{0,22,495},{0,82,200},{0,54,1},{2,39,17},{0,34,34},{27,0,686},{0,36,339},{0,30,139},{0,22,446},{55,0,686},{0,22,446},{0,52,0},{0,52,0},{0,52,0},{0,26,0},{0,25,145},{0,21,45},{0,21,45},{0,13,80},{0,12,154},{0,10,94},{0,52,0},{0,52,0},{0,52,0},{0,26,0},{12,0,145},
{0,21,45},{0,21,45},{0,13,80},{25,0,145},{0,13,80},{41,0,200},{0,54,1},{8,37,0},{0,34,34},{41,0,200},{82,0,200},{0,34,34},{0,27,200},{82,0,200},{0,27,200},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{4,99,225},{4,65,26},{6,46,74},{3,43,45},{0,79,723},{0,48,282},{0,42,54},
{0,31,401},{0,36,852},{0,29,497},{7,92,200},{7,64,0},{9,46,21},{5,42,29},{39,0,723},{0,48,282},{0,42,54},{0,31,401},{79,0,723},{0,31,401},{4,68,25},{4,68,25},{4,68,25},{3,36,25},{0,49,162},{0,36,17},{0,36,17},{0,22,58},{0,21,206},{0,19,97},{7,62,0},{7,62,0},{7,62,0},{7,34,0},{24,0,162},{0,36,17},{0,36,17},{0,22,58},{49,0,162},
{0,22,58},{52,0,200},{6,64,0},{16,45,0},{0,44,17},{52,0,200},{107,0,200},{0,44,17},{0,35,200},{107,0,200},{0,35,200},{3,0,25},{3,0,25},{3,0,25},{3,0,25},{0,22,0},{0,22,0},{0,22,0},{0,11,0},{0,9,5},{0,9,5},{8,115,313},{8,78,121},{10,56,198},{7,51,126},{0,104,723},{0,63,227},{0,51,6},{0,40,339},{0,48,956},{0,38,494},{15,100,200},
{15,72,0},{17,54,21},{15,49,32},{51,0,723},{0,63,227},{0,51,6},{0,40,339},{104,0,723},{0,40,339},{8,84,113},{8,84,113},{8,84,113},{7,46,113},{0,73,162},{0,48,1},{0,48,1},{0,31,29},{0,33,270},{0,27,109},{15,70,0},{15,70,0},{15,70,0},{15,42,0},{36,0,162},{0,48,1},{0,48,1},{0,31,29},{73,0,162},{0,31,29},{64,0,200},{14,72,0},{24,53,0},
{0,53,4},{64,0,200},{131,0,200},{0,53,4},{0,43,200},{131,0,200},{0,43,200},{7,0,113},{7,0,113},{7,0,113},{7,0,113},{0,46,0},{0,46,0},{0,46,0},{0,23,0},{0,18,34},{0,18,34},{14,130,400},{15,88,215},{17,66,315},{13,60,210},{4,123,723},{3,75,207},{4,62,2},{2,49,303},{0,60,969},{0,48,417},{24,109,200},{24,81,0},{26,63,21},{23,58,33},{64,0,723},
{0,78,201},{6,62,1},{0,50,289},{131,0,723},{0,50,289},{14,99,200},{14,99,200},{14,99,200},{14,56,200},{4,92,162},{5,60,2},{5,60,2},{3,40,14},{0,45,280},{0,39,77},{24,79,0},{24,79,0},{24,79,0},{24,51,0},{49,0,162},{7,59,0},{7,59,0},{0,40,8},{101,0,162},{0,40,8},{78,0,200},{23,81,0},{32,62,0},{1,62,0},{78,0,200},{158,0,200},{1,62,0},
{0,52,200},{158,0,200},{0,52,200},{14,0,200},{14,0,200},{14,0,200},{14,0,200},{4,65,0},{4,65,0},{4,65,0},{4,34,0},{0,33,40},{0,33,40},{22,138,400},{23,96,215},{25,74,315},{21,68,210},{12,131,723},{11,83,207},{12,70,2},{10,57,303},{0,72,865},{0,57,290},{32,117,200},{32,89,0},{34,71,21},{31,66,33},{76,0,723},{5,87,200},{14,70,1},{0,59,251},{155,0,723},
{0,59,251},{22,107,200},{22,107,200},{22,107,200},{22,64,200},{12,100,162},{13,68,2},{13,68,2},{10,47,17},{0,60,213},{0,48,13},{32,87,0},{32,87,0},{32,87,0},{32,59,0},{61,0,162},{15,67,0},{15,67,0},{0,50,1},{125,0,162},{0,50,1},{89,0,200},{31,89,0},{40,70,0},{9,70,0},{89,0,200},{183,0,200},{9,70,0},{0,60,200},{183,0,200},{0,60,200},{22,0,200},
{22,0,200},{22,0,200},{22,0,200},{12,73,0},{12,73,0},{12,73,0},{12,42,0},{0,45,8},{0,45,8},{30,145,400},{31,104,215},{33,82,315},{29,76,210},{20,139,723},{19,91,207},{20,78,2},{18,65,303},{0,88,787},{0,66,225},{40,125,200},{40,97,0},{43,79,19},{39,74,33},{88,0,723},{14,94,200},{22,78,1},{0,66,224},{180,0,723},{0,66,224},{30,115,200},{30,115,200},{30,115,200},
{30,72,200},{20,108,162},{21,76,2},{21,76,2},{18,56,17},{0,72,173},{2,58,1},{40,95,0},{40,95,0},{40,95,0},{40,67,0},{73,0,162},{23,75,0},{23,75,0},{3,58,0},{149,0,162},{3,58,0},{101,0,200},{39,97,0},{48,78,0},{17,78,0},{101,0,200},{207,0,200},{17,78,0},{0,68,200},{207,0,200},{0,68,200},{30,0,200},{30,0,200},{30,0,200},{30,0,200},{20,81,0},
{20,81,0},{20,81,0},{20,50,0},{1,59,0},{1,59,0},{38,153,400},{39,112,215},{41,90,315},{37,84,210},{28,147,723},{27,99,207},{28,86,2},{26,73,303},{0,100,739},{4,75,212},{48,133,200},{48,105,0},{51,87,19},{47,82,33},{100,0,723},{22,102,200},{30,86,1},{0,75,206},{204,0,723},{0,75,206},{38,123,200},{38,123,200},{38,123,200},{38,80,200},{28,116,162},{29,84,2},{29,84,2},
{26,64,17},{0,85,162},{10,66,1},{48,103,0},{48,103,0},{48,103,0},{48,75,0},{85,0,162},{31,83,0},{31,83,0},{11,66,0},{174,0,162},{11,66,0},{113,0,200},{47,105,0},{56,86,0},{25,86,0},{113,0,200},{231,0,200},{25,86,0},{0,76,200},{231,0,200},{0,76,200},{38,0,200},{38,0,200},{38,0,200},{38,0,200},{28,89,0},{28,89,0},{28,89,0},{28,58,0},{9,67,0},
{9,67,0},{47,162,400},{48,121,215},{50,98,308},{46,93,210},{37,155,723},{36,107,207},{37,95,2},{35,82,303},{0,113,723},{13,84,212},{57,142,200},{57,112,1},{60,96,19},{56,91,33},{113,0,723},{31,111,200},{39,95,1},{0,85,200},{231,0,723},{0,85,200},{47,132,200},{47,132,200},{47,132,200},{47,89,200},{37,125,162},{38,93,2},{38,93,2},{35,73,17},{10,93,162},{19,75,1},{57,111,0},
{57,111,0},{57,111,0},{57,84,0},{98,0,162},{40,92,0},{40,92,0},{20,75,0},{201,0,162},{20,75,0},{127,0,200},{56,114,0},{65,95,0},{34,95,0},{127,0,200},{254,2,200},{34,95,0},{0,85,200},{254,2,200},{0,85,200},{47,0,200},{47,0,200},{47,0,200},{47,0,200},{37,98,0},{37,98,0},{37,98,0},{37,67,0},{18,76,0},{18,76,0},{55,170,400},{56,129,215},{58,106,308},
{54,101,210},{45,163,723},{44,115,207},{45,103,2},{43,90,303},{8,121,723},{21,92,212},{65,150,200},{65,121,0},{68,104,19},{64,99,33},{125,0,723},{39,119,200},{47,103,1},{7,93,200},{255,0,723},{7,93,200},{55,140,200},{55,140,200},{55,140,200},{55,97,200},{45,133,162},{46,101,2},{46,101,2},{43,81,17},{18,101,162},{27,83,1},{65,119,0},{65,119,0},{65,119,0},{65,92,0},{110,0,162},
{48,100,0},{48,100,0},{28,83,0},{225,0,162},{28,83,0},{138,0,200},{65,121,0},{73,103,0},{42,103,0},{138,0,200},{254,14,200},{42,103,0},{0,93,200},{254,14,200},{0,93,200},{55,0,200},{55,0,200},{55,0,200},{55,0,200},{45,106,0},{45,106,0},{45,106,0},{45,75,0},{26,84,0},{26,84,0},{63,178,400},{64,137,215},{66,114,308},{62,109,210},{53,171,723},{52,123,207},{53,111,2},
{51,98,303},{16,129,723},{27,100,215},{73,158,200},{73,129,0},{76,112,19},{72,107,33},{137,0,723},{47,127,200},{55,111,1},{15,101,200},{255,12,723},{15,101,200},{63,148,200},{63,148,200},{63,148,200},{63,105,200},{53,141,162},{54,109,2},{54,109,2},{51,89,17},{26,109,162},{35,91,1},{73,127,0},{73,127,0},{73,127,0},{73,100,0},{122,0,162},{56,108,0},{56,108,0},{36,91,0},{249,0,162},
{36,91,0},{150,0,200},{73,129,0},{81,111,0},{49,111,0},{150,0,200},{254,26,200},{49,111,0},{0,101,200},{254,26,200},{0,101,200},{63,0,200},{63,0,200},{63,0,200},{63,0,200},{53,114,0},{53,114,0},{53,114,0},{53,83,0},{34,92,0},{34,92,0},{71,186,400},{72,144,212},{74,122,308},{70,117,210},{61,179,723},{60,131,207},{61,118,2},{59,106,303},{24,137,723},{35,108,215},{81,166,200},
{81,137,0},{84,120,19},{80,115,33},{149,0,723},{55,135,200},{62,119,1},{23,109,200},{255,24,723},{23,109,200},{71,156,200},{71,156,200},{71,156,200},{71,113,200},{61,149,162},{61,118,1},{61,118,1},{59,97,17},{34,117,162},{43,99,1},{81,135,0},{81,135,0},{81,135,0},{81,108,0},{134,0,162},{64,116,0},{64,116,0},{44,99,0},{255,9,162},{44,99,0},{162,0,200},{81,137,0},{89,119,0},
{57,119,0},{162,0,200},{254,38,200},{57,119,0},{0,109,200},{254,38,200},{0,109,200},{71,0,200},{71,0,200},{71,0,200},{71,0,200},{61,121,0},{61,121,0},{61,121,0},{61,91,0},{42,100,0},{42,100,0},{80,195,400},{81,153,212},{83,131,308},{79,127,212},{70,188,723},{69,140,207},{70,127,2},{68,115,303},{34,145,723},{44,117,215},{90,174,200},{90,146,0},{93,129,19},{89,124,33},{162,0,723},
{64,144,200},{71,128,1},{32,118,200},{254,38,723},{32,118,200},{80,165,200},{80,165,200},{80,165,200},{80,122,200},{70,158,162},{70,127,1},{70,127,1},{68,106,17},{43,126,162},{52,108,1},{90,144,0},{90,144,0},{90,144,0},{90,117,0},{147,0,162},{74,124,0},{74,124,0},{53,108,0},{254,23,162},{53,108,0},{175,0,200},{90,146,0},{98,128,0},{66,128,0},{175,0,200},{254,51,200},{66,128,0},
{0,118,200},{254,51,200},{0,118,200},{80,0,200},{80,0,200},{80,0,200},{80,0,200},{70,130,0},{70,130,0},{70,130,0},{70,100,0},{51,109,0},{51,109,0},{88,203,400},{89,161,212},{91,139,308},{87,135,212},{78,196,723},{77,148,207},{78,135,2},{75,122,305},{42,153,723},{52,125,215},{98,182,200},{98,154,0},{101,137,19},{97,132,33},{174,0,723},{72,152,200},{79,136,1},{40,126,200},{255,49,723},
{40,126,200},{88,172,200},{88,172,200},{88,172,200},{88,129,200},{78,166,162},{78,135,1},{78,135,1},{76,114,17},{51,134,162},{60,116,0},{98,152,0},{98,152,0},{98,152,0},{98,125,0},{159,0,162},{82,132,0},{82,132,0},{60,116,0},{254,35,162},{60,116,0},{187,0,200},{98,154,0},{106,136,0},{74,136,0},{187,0,200},{254,63,200},{74,136,0},{0,126,200},{254,63,200},{0,126,200},{88,0,200},
{88,0,200},{88,0,200},{88,0,200},{78,138,0},{78,138,0},{78,138,0},{78,108,0},{60,116,0},{60,116,0},{96,211,400},{97,169,212},{99,147,308},{95,143,212},{86,204,723},{85,156,207},{86,143,2},{83,131,308},{50,161,723},{60,133,215},{106,190,200},{106,162,0},{109,145,19},{105,141,35},{186,0,723},{80,160,200},{87,144,1},{48,134,200},{255,61,723},{48,134,200},{96,180,200},{96,180,200},{96,180,200},
{96,137,200},{86,174,162},{86,143,1},{86,143,1},{84,122,17},{59,142,162},{68,124,0},{106,160,0},{106,160,0},{106,160,0},{106,133,0},{171,0,162},{90,140,0},{90,140,0},{68,124,0},{255,46,162},{68,124,0},{199,0,200},{106,162,0},{114,144,0},{82,144,0},{199,0,200},{254,75,200},{82,144,0},{0,134,200},{254,75,200},{0,134,200},{96,0,200},{96,0,200},{96,0,200},{96,0,200},{86,146,0},
{86,146,0},{86,146,0},{86,116,0},{68,124,0},{68,124,0},{104,219,400},{105,177,212},{107,155,308},{103,151,212},{94,212,723},{93,164,207},{94,151,2},{91,139,308},{58,169,723},{68,141,215},{114,198,200},{114,170,0},{117,153,19},{113,149,35},{198,0,723},{88,168,200},{95,152,1},{56,142,200},{255,73,723},{56,142,200},{104,188,200},{104,188,200},{104,188,200},{104,145,200},{94,181,162},{94,151,1},{94,151,1},
{92,130,17},{67,150,162},{76,132,0},{114,168,0},{114,168,0},{114,168,0},{114,141,0},{183,0,162},{98,148,0},{98,148,0},{76,132,0},{255,58,162},{76,132,0},{211,0,200},{114,170,0},{122,152,0},{90,152,0},{211,0,200},{255,86,200},{90,152,0},{0,142,200},{255,86,200},{0,142,200},{104,0,200},{104,0,200},{104,0,200},{104,0,200},{94,154,0},{94,154,0},{94,154,0},{94,124,0},{76,132,0},
{76,132,0},{113,228,400},{114,186,215},{116,164,308},{112,160,212},{103,221,723},{102,173,207},{103,160,2},{100,148,308},{67,178,723},{78,150,212},{123,207,200},{123,179,0},{125,163,17},{122,158,35},{211,0,723},{96,177,200},{104,161,1},{65,151,200},{255,86,723},{65,151,200},{113,197,200},{113,197,200},{113,197,200},{113,154,200},{103,190,162},{103,160,1},{103,160,1},{102,138,19},{76,159,162},{85,141,0},{123,177,0},
{123,177,0},{123,177,0},{123,149,0},{196,0,162},{107,157,0},{107,157,0},{85,141,0},{254,72,162},{85,141,0},{224,0,200},{123,179,0},{131,161,0},{99,161,0},{224,0,200},{254,100,200},{99,161,0},{0,151,200},{254,100,200},{0,151,200},{113,0,200},{113,0,200},{113,0,200},{113,0,200},{103,163,0},{103,163,0},{103,163,0},{103,133,0},{85,141,0},{85,141,0},{121,235,400},{122,194,215},{124,172,308},
{120,168,212},{111,229,723},{110,181,207},{111,168,2},{108,156,308},{75,186,723},{86,158,212},{131,215,200},{131,187,0},{133,171,17},{130,166,35},{223,0,723},{104,185,200},{112,169,1},{73,159,200},{255,98,723},{73,159,200},{121,205,200},{121,205,200},{121,205,200},{121,162,200},{111,198,162},{111,168,1},{111,168,1},{110,146,19},{84,167,162},{93,149,0},{131,185,0},{131,185,0},{131,185,0},{131,157,0},{208,0,162},
{115,165,0},{115,165,0},{93,149,0},{254,84,162},{93,149,0},{236,0,200},{131,187,0},{139,169,0},{107,169,0},{236,0,200},{254,112,200},{107,169,0},{0,159,200},{254,112,200},{0,159,200},{121,0,200},{121,0,200},{121,0,200},{121,0,200},{111,171,0},{111,171,0},{111,171,0},{111,141,0},{93,149,0},{93,149,0},{129,243,400},{130,202,215},{133,180,305},{128,176,212},{119,236,723},{118,189,207},{119,176,2},
{116,164,308},{83,194,723},{94,166,212},{139,223,200},{139,195,0},{141,179,17},{138,174,35},{235,0,723},{112,193,200},{120,177,1},{81,167,200},{255,110,723},{81,167,200},{129,213,200},{129,213,200},{129,213,200},{129,170,200},{119,206,162},{119,176,1},{119,176,1},{118,154,19},{91,175,162},{101,157,0},{139,192,0},{139,192,0},{139,192,0},{139,165,0},{220,0,162},{123,173,0},{123,173,0},{101,157,0},{255,95,162},
{101,157,0},{248,0,200},{139,195,0},{147,177,0},{115,177,0},{248,0,200},{254,124,200},{115,177,0},{0,167,200},{254,124,200},{0,167,200},{129,0,200},{129,0,200},{129,0,200},{129,0,200},{119,179,0},{119,179,0},{119,179,0},{119,148,0},{101,157,0},{101,157,0},{137,251,400},{138,210,215},{140,187,303},{136,184,212},{127,244,723},{126,197,207},{127,184,2},{124,172,308},{91,202,723},{102,174,212},{147,231,200},
{147,202,1},{149,187,17},{146,182,35},{247,0,723},{120,201,200},{128,185,1},{88,175,200},{255,122,723},{88,175,200},{137,221,200},{137,221,200},{137,221,200},{137,178,200},{127,214,162},{127,184,1},{127,184,1},{126,162,19},{99,183,162},{109,165,0},{147,200,0},{147,200,0},{147,200,0},{147,173,0},{232,0,162},{131,181,0},{131,181,0},{109,165,0},{255,107,162},{109,165,0},{255,10,200},{146,203,0},{155,185,0},
{123,185,0},{255,10,200},{255,135,200},{123,185,0},{0,175,200},{255,135,200},{0,175,200},{137,0,200},{137,0,200},{137,0,200},{137,0,200},{127,187,0},{127,187,0},{127,187,0},{127,156,0},{109,165,0},{109,165,0},{147,255,404},{147,219,215},{149,196,303},{145,193,212},{136,253,723},{135,206,207},{136,193,2},{133,181,308},{100,211,723},{111,183,212},{156,240,200},{156,210,1},{158,196,17},{155,191,35},{255,10,723},
{129,210,200},{137,194,1},{97,184,200},{255,135,723},{97,184,200},{146,230,200},{146,230,200},{146,230,200},{146,187,200},{136,223,162},{136,193,1},{136,193,1},{135,171,19},{108,192,162},{118,174,0},{156,209,0},{156,209,0},{156,209,0},{156,182,0},{245,0,162},{139,191,0},{139,191,0},{118,174,0},{254,121,162},{118,174,0},{255,37,200},{155,212,0},{164,194,0},{131,194,0},{255,37,200},{254,149,200},{131,194,0},
{0,184,200},{254,149,200},{0,184,200},{146,0,200},{146,0,200},{146,0,200},{146,0,200},{136,196,0},{136,196,0},{136,196,0},{136,165,0},{118,174,0},{118,174,0},{156,255,426},{155,227,215},{157,204,303},{153,201,212},{146,254,728},{143,214,207},{144,202,2},{141,189,308},{108,219,723},{118,191,215},{164,248,200},{164,218,1},{166,204,17},{163,199,35},{255,34,723},{137,218,200},{145,201,2},{105,192,200},{255,147,723},
{105,192,200},{154,238,200},{154,238,200},{154,238,200},{154,195,200},{144,231,162},{144,200,1},{144,200,1},{143,179,19},{116,200,162},{126,182,0},{164,217,0},{164,217,0},{164,217,0},{164,190,0},{255,4,162},{146,199,0},{146,199,0},{126,182,0},{255,132,162},{126,182,0},{255,61,200},{163,220,0},{172,202,0},{139,202,0},{255,61,200},{254,161,200},{139,202,0},{0,192,200},{254,161,200},{0,192,200},{154,0,200},
{154,0,200},{154,0,200},{154,0,200},{144,204,0},{144,204,0},{144,204,0},{144,173,0},{126,182,0},{126,182,0},{165,255,468},{163,234,212},{165,212,303},{162,207,213},{156,255,747},{151,222,207},{152,210,2},{149,197,308},{115,228,723},{126,199,215},{172,255,200},{172,226,1},{174,212,17},{171,207,35},{255,58,723},{145,226,200},{153,209,2},{113,200,200},{255,159,723},{113,200,200},{162,246,200},{162,246,200},{162,246,200},
{162,203,200},{152,239,162},{152,208,1},{152,208,1},{151,187,19},{124,208,162},{134,190,0},{172,225,0},{172,225,0},{172,225,0},{172,198,0},{255,28,162},{155,206,0},{155,206,0},{134,190,0},{255,144,162},{134,190,0},{255,86,200},{171,228,0},{180,210,0},{147,210,0},{255,86,200},{255,172,200},{147,210,0},{0,200,200},{255,172,200},{0,200,200},{162,0,200},{162,0,200},{162,0,200},{162,0,200},{152,211,0},
{152,211,0},{152,211,0},{152,181,0},{134,190,0},{134,190,0},{175,255,522},{171,242,212},{173,220,303},{170,216,213},{165,255,788},{158,232,208},{160,218,2},{157,205,308},{123,235,723},{134,207,215},{181,255,209},{180,234,1},{182,220,17},{179,215,35},{255,82,723},{153,234,200},{161,217,2},{121,208,200},{254,171,723},{121,208,200},{170,253,200},{170,253,200},{170,253,200},{170,211,200},{160,247,162},{160,216,1},{160,216,1},
{159,195,19},{132,216,162},{141,198,1},{180,233,0},{180,233,0},{180,233,0},{180,206,0},{255,52,162},{163,214,0},{163,214,0},{142,198,0},{255,156,162},{142,198,0},{255,110,200},{179,236,0},{188,218,0},{155,218,0},{255,110,200},{255,184,200},{155,218,0},{0,208,200},{255,184,200},{0,208,200},{170,0,200},{170,0,200},{170,0,200},{170,0,200},{160,219,0},{160,219,0},{160,219,0},{160,189,0},{141,199,0},
{141,199,0},{184,255,612},{180,251,212},{182,229,303},{179,225,213},{178,255,844},{167,239,210},{169,227,2},{165,214,315},{132,244,723},{143,216,215},{193,255,234},{189,243,1},{191,229,17},{187,224,38},{255,110,723},{162,243,200},{170,226,2},{130,217,200},{255,184,723},{130,217,200},{180,254,206},{180,254,206},{180,254,206},{179,220,200},{170,253,163},{169,225,1},{169,225,1},{168,204,19},{141,225,162},{150,207,0},{189,242,0},
{189,242,0},{189,242,0},{189,215,0},{255,79,162},{172,223,0},{172,223,0},{150,207,0},{253,170,162},{150,207,0},{255,137,200},{188,245,0},{197,227,0},{164,227,0},{255,137,200},{254,198,200},{164,227,0},{0,217,200},{254,198,200},{0,217,200},{179,0,200},{179,0,200},{179,0,200},{179,0,200},{169,228,0},{169,228,0},{169,228,0},{169,198,0},{150,207,0},{150,207,0},{193,255,714},{189,255,225},{190,237,303},
{187,233,213},{187,255,919},{175,247,210},{177,235,2},{173,222,315},{140,252,723},{151,224,215},{202,255,275},{197,251,1},{199,237,17},{195,232,38},{255,134,723},{170,251,200},{178,234,2},{138,225,200},{255,196,723},{138,225,200},{189,254,224},{189,254,224},{189,254,224},{187,228,200},{178,255,171},{177,233,1},{177,233,1},{176,212,19},{149,233,162},{158,215,0},{197,250,0},{197,250,0},{197,250,0},{197,223,0},{255,104,162},
{180,231,0},{180,231,0},{158,215,0},{255,181,162},{158,215,0},{255,161,200},{196,253,0},{204,235,0},{172,235,0},{255,161,200},{254,210,200},{172,235,0},{0,225,200},{254,210,200},{0,225,200},{187,0,200},{187,0,200},{187,0,200},{187,0,200},{177,236,0},{177,236,0},{177,236,0},{177,206,0},{158,215,0},{158,215,0},{202,255,836},{198,255,290},{198,245,303},{195,241,213},{199,255,1015},{183,255,210},{185,243,2},
{181,230,315},{152,255,732},{159,232,215},{214,254,331},{207,255,13},{207,245,17},{203,240,38},{255,158,723},{183,255,206},{186,242,2},{146,233,200},{255,208,723},{146,233,200},{196,255,251},{196,255,251},{196,255,251},{195,236,200},{190,255,195},{185,241,1},{185,241,1},{184,221,21},{157,241,162},{166,223,0},{205,255,1},{205,255,1},{205,255,1},{205,231,0},{255,128,162},{188,239,0},{188,239,0},{166,223,0},{255,193,162},
{166,223,0},{255,186,200},{210,255,8},{212,243,0},{180,243,0},{255,186,200},{255,221,200},{180,243,0},{0,233,200},{255,221,200},{0,233,200},{195,0,200},{195,0,200},{195,0,200},{195,0,200},{185,244,0},{185,244,0},{185,244,0},{185,214,0},{166,223,0},{166,223,0},{215,255,976},{207,255,417},{206,253,303},{203,249,213},{208,255,1124},{195,255,258},{193,251,2},{189,238,315},{167,255,797},{166,240,215},{221,255,392},
{216,255,77},{215,252,14},{211,248,38},{255,183,723},{198,255,248},{194,250,2},{154,241,200},{254,220,723},{154,241,200},{205,255,289},{205,255,289},{205,255,289},{203,244,200},{199,255,230},{193,249,1},{193,249,1},{192,229,21},{165,249,162},{174,231,0},{215,255,8},{215,255,8},{215,255,8},{213,239,0},{255,152,162},{196,247,0},{196,247,0},{174,231,0},{255,205,162},{174,231,0},{255,210,200},{222,255,40},{220,251,0},
{188,251,0},{255,210,200},{255,233,200},{188,251,0},{0,241,200},{255,233,200},{0,241,200},{203,0,200},{203,0,200},{203,0,200},{203,0,200},{193,252,0},{193,252,0},{193,252,0},{193,222,0},{174,231,0},{174,231,0},{221,255,895},{217,255,494},{215,255,339},{212,255,201},{218,255,994},{207,255,251},{204,255,6},{199,245,198},{189,255,702},{176,247,121},{233,255,318},{228,255,109},{224,255,29},{222,253,13},{255,204,546},
{213,255,198},{205,255,1},{169,247,113},{255,230,546},{169,247,113},{215,255,339},{215,255,339},{215,255,339},{212,253,200},{211,255,293},{204,255,6},{204,255,6},{201,238,21},{177,255,165},{183,240,0},{224,255,29},{224,255,29},{224,255,29},{222,248,0},{255,180,162},{206,254,1},{206,254,1},{183,240,0},{255,218,162},{183,240,0},{255,228,113},{237,255,34},{232,255,0},{207,255,0},{255,228,113},{255,242,113},{207,255,0},
{0,247,113},{255,242,113},{0,247,113},{212,0,200},{212,0,200},{212,0,200},{212,0,200},{202,255,4},{202,255,4},{202,255,4},{202,231,0},{183,240,0},{183,240,0},{230,255,737},{226,255,497},{224,255,401},{220,255,216},{227,255,783},{216,255,206},{213,255,54},{209,249,74},{201,255,534},{189,251,26},{239,255,190},{235,255,97},{233,255,58},{230,255,1},{255,219,333},{225,255,110},{219,255,17},{185,251,25},{254,238,333},
{185,251,25},{224,255,401},{224,255,401},{224,255,401},{220,255,216},{218,255,354},{213,255,54},{213,255,54},{209,246,21},{192,255,203},{191,248,0},{233,255,58},{233,255,58},{233,255,58},{230,254,1},{255,204,162},{219,255,17},{219,255,17},{191,248,0},{255,230,162},{191,248,0},{255,240,25},{246,255,5},{244,255,0},{231,255,0},{255,240,25},{255,248,25},{231,255,0},{0,251,25},{255,248,25},{0,251,25},{220,0,200},
{220,0,200},{220,0,200},{220,0,200},{211,255,17},{211,255,17},{211,255,17},{210,239,0},{191,248,0},{191,248,0},{236,255,616},{233,255,495},{233,255,446},{228,255,264},{233,255,626},{225,255,220},{225,255,139},{217,254,19},{216,255,434},{199,255,1},{245,255,121},{244,255,94},{242,255,80},{240,255,20},{255,234,193},{237,255,75},{234,255,45},{201,255,0},{255,245,193},{201,255,0},{233,255,446},{233,255,446},{233,255,446},
{228,255,264},{230,255,401},{225,255,139},{225,255,139},{216,253,17},{207,255,254},{199,255,1},{242,255,80},{242,255,80},{242,255,80},{240,255,20},{255,225,145},{234,255,45},{234,255,45},{201,255,0},{254,241,145},{201,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{228,0,200},{228,0,200},{228,0,200},{228,0,200},{221,255,34},
{221,255,34},{221,255,34},{218,247,0},{200,254,1},{200,254,1},{242,255,400},{239,255,343},{239,255,318},{237,255,227},{239,255,370},{234,255,161},{232,255,121},{226,255,0},{225,255,243},{213,255,17},{251,255,33},{248,255,24},{248,255,20},{246,255,4},{255,243,54},{246,255,17},{243,255,10},{225,255,0},{254,250,54},{225,255,0},{239,255,318},{239,255,318},{239,255,318},{237,255,227},{236,255,253},{232,255,121},{232,255,121},
{226,255,0},{219,255,150},{213,255,17},{248,255,20},{248,255,20},{248,255,20},{246,255,4},{255,237,41},{243,255,10},{243,255,10},{225,255,0},{254,247,41},{225,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{236,0,200},{236,0,200},{236,0,200},{236,0,200},{230,255,65},{230,255,65},{230,255,65},{226,255,0},{213,255,17},
{213,255,17},{0,82,421},{0,60,40},{0,42,0},{0,34,145},{0,55,925},{0,36,566},{0,33,262},{0,22,677},{0,27,989},{0,22,726},{0,82,421},{0,60,40},{0,42,0},{0,34,145},{27,0,925},{0,36,566},{0,33,262},{0,22,677},{55,0,925},{0,22,677},{0,40,0},{0,40,0},{0,40,0},{0,20,0},{0,19,85},{0,15,25},{0,15,25},{0,10,45},{0,9,89},{0,8,54},{0,40,0},
{0,40,0},{0,40,0},{0,20,0},{9,0,85},{0,15,25},{0,15,25},{0,10,45},{19,0,85},{0,10,45},{41,0,421},{0,60,40},{0,42,0},{0,34,145},{41,0,421},{82,0,421},{0,34,145},{0,27,421},{82,0,421},{0,27,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,107,421},{0,72,8},{1,50,18},
{0,44,100},{0,73,1261},{0,48,670},{0,42,282},{0,28,857},{0,33,1369},{0,28,938},{0,107,421},{0,72,8},{2,51,14},{0,44,100},{36,0,1261},{0,48,670},{0,42,282},{0,28,857},{73,0,1261},{0,28,857},{0,64,0},{0,64,0},{0,64,0},{0,32,0},{0,31,221},{0,27,73},{0,27,73},{0,16,125},{0,15,237},{0,13,144},{0,64,0},{0,64,0},{0,64,0},{0,32,0},{15,0,221},
{0,27,73},{0,27,73},{0,16,125},{31,0,221},{0,16,125},{52,0,421},{0,72,8},{7,50,0},{0,44,100},{52,0,421},{107,0,421},{0,44,100},{0,35,421},{107,0,421},{0,35,421},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{2,127,426},{1,86,5},{4,59,67},{0,53,70},{0,92,1514},{0,60,701},{0,51,243},
{0,37,946},{0,42,1695},{0,34,1083},{3,125,421},{3,84,1},{7,59,42},{1,54,69},{45,0,1514},{0,60,701},{0,51,243},{0,37,946},{92,0,1514},{0,37,946},{2,84,5},{2,84,5},{2,84,5},{1,43,5},{0,49,338},{0,36,89},{0,36,89},{0,22,170},{0,21,382},{0,19,217},{3,82,0},{3,82,0},{3,82,0},{3,42,0},{24,0,338},{0,36,89},{0,36,89},{0,22,170},{49,0,338},
{0,22,170},{64,0,421},{1,86,0},{15,58,0},{0,53,61},{64,0,421},{131,0,421},{0,53,61},{0,43,421},{131,0,421},{0,43,421},{1,0,5},{1,0,5},{1,0,5},{1,0,5},{0,10,0},{0,10,0},{0,10,0},{0,5,0},{0,3,1},{0,3,1},{6,143,482},{6,97,63},{8,69,163},{4,63,110},{0,116,1514},{0,72,589},{0,60,109},{0,44,857},{0,54,1815},{0,44,1053},{11,133,421},
{11,91,1},{15,67,42},{9,62,69},{57,0,1514},{0,72,589},{0,60,109},{0,44,857},{116,0,1514},{0,44,857},{6,101,61},{6,101,61},{6,101,61},{6,52,61},{0,73,338},{0,51,34},{0,51,34},{0,31,117},{0,33,446},{0,29,209},{11,90,0},{11,90,0},{11,90,0},{11,50,0},{36,0,338},{0,51,34},{0,51,34},{0,31,117},{73,0,338},{0,31,117},{76,0,421},{10,93,0},{23,66,0},
{0,62,32},{76,0,421},{155,0,421},{0,62,32},{0,51,421},{155,0,421},{0,51,421},{5,0,61},{5,0,61},{5,0,61},{5,0,61},{0,34,0},{0,34,0},{0,34,0},{0,17,0},{0,15,17},{0,15,17},{10,162,621},{11,109,215},{14,78,362},{9,71,234},{0,143,1514},{0,88,489},{0,72,22},{0,56,750},{0,66,1982},{0,53,1047},{20,142,421},{20,100,1},{24,76,42},{18,71,69},{70,0,1514},
{0,88,489},{0,72,22},{0,56,750},{143,0,1514},{0,56,750},{10,120,200},{10,120,200},{10,120,200},{10,64,200},{0,101,338},{0,69,4},{0,69,4},{0,40,72},{0,45,552},{0,39,229},{20,99,0},{20,99,0},{20,99,0},{20,59,0},{49,0,338},{0,69,4},{0,69,4},{0,40,72},{101,0,338},{0,40,72},{89,0,421},{19,102,0},{32,75,0},{0,74,10},{89,0,421},{183,0,421},{0,74,10},
{0,60,421},{183,0,421},{0,60,421},{10,0,200},{10,0,200},{10,0,200},{10,0,200},{0,61,0},{0,61,0},{0,61,0},{0,30,0},{0,24,65},{0,24,65},{14,178,813},{15,119,423},{18,88,618},{13,81,414},{0,167,1514},{0,100,441},{0,83,2},{0,65,670},{0,75,2165},{0,60,1070},{28,150,421},{28,108,1},{32,84,42},{26,79,69},{82,0,1514},{0,100,441},{2,82,2},{0,65,670},{167,0,1514},
{0,65,670},{14,136,392},{14,136,392},{14,136,392},{14,74,392},{0,125,338},{1,80,2},{1,80,2},{0,50,41},{0,54,677},{0,48,277},{28,107,0},{28,107,0},{28,107,0},{28,67,0},{61,0,338},{3,79,0},{3,79,0},{0,50,41},{125,0,338},{0,50,41},{101,0,421},{27,110,0},{40,83,0},{0,83,1},{101,0,421},{207,0,421},{0,83,1},{0,68,421},{207,0,421},{0,68,421},{14,0,392},
{14,0,392},{14,0,392},{14,0,392},{0,85,0},{0,85,0},{0,85,0},{0,42,0},{0,33,136},{0,33,136},{22,186,842},{22,128,450},{26,96,655},{21,89,441},{7,177,1514},{5,111,434},{8,90,4},{4,72,639},{0,88,2003},{0,69,858},{36,157,421},{36,116,1},{40,92,42},{34,87,69},{94,0,1514},{0,113,422},{8,90,3},{0,71,602},{192,0,1514},{0,71,602},{22,144,421},{22,144,421},{22,144,421},
{21,82,421},{7,135,338},{8,90,3},{8,90,3},{6,59,35},{0,69,581},{0,57,150},{36,115,0},{36,115,0},{36,115,0},{36,75,0},{73,0,338},{11,87,0},{11,87,0},{0,59,18},{149,0,338},{0,59,18},{113,0,421},{35,118,0},{48,91,0},{2,91,0},{113,0,421},{231,0,421},{2,91,0},{0,76,421},{231,0,421},{0,76,421},{21,0,421},{21,0,421},{21,0,421},{21,0,421},{7,95,0},
{7,95,0},{7,95,0},{7,50,0},{0,48,80},{0,48,80},{30,194,842},{30,136,450},{34,104,655},{29,97,441},{15,185,1514},{13,119,434},{16,98,4},{12,80,639},{0,103,1850},{0,80,663},{44,165,421},{44,124,1},{48,100,42},{42,95,69},{106,0,1514},{6,122,421},{16,98,3},{0,80,542},{216,0,1514},{0,80,542},{30,152,421},{30,152,421},{30,152,421},{29,90,421},{15,143,338},{16,98,3},{16,98,3},
{14,67,35},{0,81,477},{0,66,52},{44,123,0},{44,123,0},{44,123,0},{44,83,0},{85,0,338},{19,95,0},{19,95,0},{0,68,5},{174,0,338},{0,68,5},{125,0,421},{43,126,0},{56,99,0},{10,99,0},{125,0,421},{255,0,421},{10,99,0},{0,84,421},{255,0,421},{0,84,421},{29,0,421},{29,0,421},{29,0,421},{29,0,421},{15,103,0},{15,103,0},{15,103,0},{15,58,0},{0,63,29},
{0,63,29},{39,203,842},{39,145,450},{43,113,655},{37,106,445},{24,194,1514},{22,126,438},{25,107,4},{21,89,639},{0,115,1710},{0,90,519},{53,174,421},{53,133,1},{56,110,38},{51,104,69},{119,0,1514},{15,131,421},{25,107,3},{0,90,494},{243,0,1514},{0,90,494},{39,160,421},{39,160,421},{39,160,421},{38,99,421},{24,152,338},{25,107,3},{25,107,3},{23,76,35},{0,97,389},{0,78,3},{53,132,0},
{53,132,0},{53,132,0},{53,92,0},{98,0,338},{29,103,0},{29,103,0},{0,79,0},{201,0,338},{0,79,0},{138,0,421},{52,135,0},{65,108,0},{19,108,0},{138,0,421},{254,14,421},{19,108,0},{0,93,421},{254,14,421},{0,93,421},{38,0,421},{38,0,421},{38,0,421},{38,0,421},{24,112,0},{24,112,0},{24,112,0},{24,67,0},{0,78,2},{0,78,2},{47,211,842},{47,153,450},{51,121,655},
{45,114,445},{32,202,1514},{30,134,438},{33,115,4},{29,97,639},{0,129,1617},{0,99,458},{61,182,421},{61,141,1},{64,118,38},{59,112,69},{131,0,1514},{23,139,421},{33,115,3},{0,99,458},{255,6,1514},{0,99,458},{47,168,421},{47,168,421},{47,168,421},{46,107,421},{32,160,338},{33,115,3},{33,115,3},{31,84,35},{0,109,349},{5,87,1},{61,140,0},{61,140,0},{61,140,0},{61,100,0},{110,0,338},
{37,111,0},{37,111,0},{8,87,0},{225,0,338},{8,87,0},{150,0,421},{60,143,0},{73,116,0},{27,116,0},{150,0,421},{254,26,421},{27,116,0},{0,101,421},{254,26,421},{0,101,421},{46,0,421},{46,0,421},{46,0,421},{46,0,421},{32,120,0},{32,120,0},{32,120,0},{32,75,0},{5,88,0},{5,88,0},{55,219,842},{55,161,450},{59,129,655},{53,122,445},{40,210,1514},{38,142,438},{41,123,4},
{36,105,646},{0,141,1553},{3,108,450},{69,190,421},{69,149,1},{72,126,38},{68,118,73},{143,0,1514},{32,146,421},{41,123,3},{0,108,434},{255,18,1514},{0,108,434},{55,176,421},{55,176,421},{55,176,421},{55,114,421},{40,168,338},{41,123,3},{41,123,3},{39,92,35},{0,122,338},{13,95,1},{69,148,0},{69,148,0},{69,148,0},{69,108,0},{122,0,338},{45,119,0},{45,119,0},{15,95,0},{249,0,338},
{15,95,0},{162,0,421},{68,151,0},{81,124,0},{35,124,0},{162,0,421},{254,38,421},{35,124,0},{0,109,421},{254,38,421},{0,109,421},{54,0,421},{54,0,421},{54,0,421},{54,0,421},{40,128,0},{40,128,0},{40,128,0},{40,83,0},{13,96,0},{13,96,0},{63,227,842},{63,169,450},{68,134,654},{61,130,445},{48,218,1514},{46,151,434},{49,131,4},{44,113,646},{0,153,1521},{11,116,450},{77,198,421},
{77,157,1},{80,134,38},{74,128,74},{155,0,1514},{40,154,421},{49,131,3},{0,117,422},{255,30,1514},{0,117,422},{63,184,421},{63,184,421},{63,184,421},{63,122,421},{48,175,338},{49,131,3},{49,131,3},{47,100,35},{8,130,338},{21,103,1},{77,156,0},{77,156,0},{77,156,0},{77,116,0},{134,0,338},{53,127,0},{53,127,0},{23,103,0},{255,9,338},{23,103,0},{174,0,421},{76,159,0},{89,132,0},
{43,132,0},{174,0,421},{255,49,421},{43,132,0},{0,117,421},{255,49,421},{0,117,421},{62,0,421},{62,0,421},{62,0,421},{62,0,421},{48,136,0},{48,136,0},{48,136,0},{48,91,0},{21,104,0},{21,104,0},{72,236,842},{72,178,450},{76,145,646},{70,139,445},{57,227,1514},{55,160,434},{58,140,4},{53,122,646},{4,166,1514},{20,125,450},{86,207,421},{86,166,1},{89,143,38},{83,137,74},{168,0,1514},
{49,163,421},{58,140,3},{4,126,421},{255,43,1514},{4,126,421},{72,193,421},{72,193,421},{72,193,421},{72,131,421},{57,184,338},{58,140,3},{58,140,3},{56,109,35},{18,138,338},{30,112,1},{86,164,0},{86,164,0},{86,164,0},{86,125,0},{147,0,338},{62,136,0},{62,136,0},{32,112,0},{254,23,338},{32,112,0},{187,0,421},{85,168,0},{98,141,0},{52,141,0},{187,0,421},{254,63,421},{52,141,0},
{0,126,421},{254,63,421},{0,126,421},{71,0,421},{71,0,421},{71,0,421},{71,0,421},{57,145,0},{57,145,0},{57,145,0},{57,100,0},{30,113,0},{30,113,0},{80,243,842},{80,186,450},{84,153,646},{78,147,445},{65,235,1514},{63,168,434},{66,148,4},{61,130,646},{12,174,1514},{27,133,450},{94,215,421},{94,174,1},{97,151,38},{91,145,74},{180,0,1514},{57,171,421},{66,148,3},{11,134,421},{255,55,1514},
{11,134,421},{80,201,421},{80,201,421},{80,201,421},{80,139,421},{65,192,338},{66,148,3},{66,148,3},{63,116,36},{26,146,338},{38,120,1},{94,172,0},{94,172,0},{94,172,0},{94,132,0},{159,0,338},{70,144,0},{70,144,0},{40,120,0},{254,35,338},{40,120,0},{199,0,421},{92,176,0},{106,149,0},{60,149,0},{199,0,421},{254,75,421},{60,149,0},{0,134,421},{254,75,421},{0,134,421},{79,0,421},
{79,0,421},{79,0,421},{79,0,421},{65,153,0},{65,153,0},{65,153,0},{65,108,0},{38,121,0},{38,121,0},{88,251,842},{88,194,450},{92,161,646},{86,155,445},{73,243,1514},{71,176,434},{74,156,4},{69,138,646},{21,181,1514},{35,141,450},{102,223,421},{102,182,1},{105,159,38},{99,153,74},{192,0,1514},{65,179,421},{74,156,3},{19,142,421},{255,67,1514},{19,142,421},{88,209,421},{88,209,421},{88,209,421},
{88,147,421},{73,200,338},{74,156,3},{74,156,3},{71,125,38},{34,154,338},{46,128,1},{102,180,0},{102,180,0},{102,180,0},{102,140,0},{171,0,338},{78,152,0},{78,152,0},{48,128,0},{255,46,338},{48,128,0},{211,0,421},{100,184,0},{114,157,0},{68,157,0},{211,0,421},{255,86,421},{68,157,0},{0,142,421},{255,86,421},{0,142,421},{87,0,421},{87,0,421},{87,0,421},{87,0,421},{73,161,0},
{73,161,0},{73,161,0},{73,116,0},{46,129,0},{46,129,0},{97,254,850},{96,202,450},{100,169,646},{94,163,445},{81,251,1514},{79,184,434},{82,164,4},{77,146,646},{29,189,1514},{43,149,450},{110,231,421},{110,190,1},{113,167,38},{107,161,74},{204,0,1514},{73,187,421},{83,164,2},{27,150,421},{255,79,1514},{27,150,421},{96,217,421},{96,217,421},{96,217,421},{96,155,421},{81,208,338},{82,163,2},{82,163,2},
{79,133,38},{42,162,338},{54,136,1},{110,188,0},{110,188,0},{110,188,0},{110,148,0},{183,0,338},{86,160,0},{86,160,0},{56,136,0},{255,58,338},{56,136,0},{223,0,421},{108,192,0},{122,165,0},{76,165,0},{223,0,421},{255,98,421},{76,165,0},{0,150,421},{255,98,421},{0,150,421},{95,0,421},{95,0,421},{95,0,421},{95,0,421},{81,169,0},{81,169,0},{81,169,0},{81,124,0},{54,137,0},
{54,137,0},{107,255,878},{105,211,450},{109,178,646},{103,172,445},{91,254,1518},{88,193,434},{91,173,4},{86,155,646},{38,198,1514},{52,158,450},{119,240,421},{119,199,1},{122,176,38},{116,170,74},{217,0,1514},{82,196,421},{92,173,2},{36,159,421},{255,92,1514},{36,159,421},{105,226,421},{105,226,421},{105,226,421},{105,164,421},{90,217,338},{91,172,2},{91,172,2},{88,142,38},{51,171,338},{63,145,1},{119,197,0},
{119,197,0},{119,197,0},{119,157,0},{196,0,338},{95,169,0},{95,169,0},{65,145,0},{254,72,338},{65,145,0},{236,0,421},{117,201,0},{130,174,0},{84,174,0},{236,0,421},{254,112,421},{84,174,0},{0,159,421},{254,112,421},{0,159,421},{104,0,421},{104,0,421},{104,0,421},{104,0,421},{90,177,0},{90,177,0},{90,177,0},{90,133,0},{63,146,0},{63,146,0},{116,255,926},{113,218,450},{117,186,646},
{111,180,445},{101,255,1535},{96,201,434},{99,181,4},{94,163,646},{46,206,1514},{60,166,450},{127,247,421},{127,207,1},{130,184,38},{124,178,74},{229,0,1514},{90,204,421},{99,181,3},{44,167,421},{255,104,1514},{44,167,421},{113,234,421},{113,234,421},{113,234,421},{113,172,421},{98,225,338},{99,180,3},{99,180,3},{96,150,38},{59,179,338},{71,153,1},{127,205,0},{127,205,0},{127,205,0},{127,165,0},{208,0,338},
{103,177,0},{103,177,0},{73,153,0},{254,84,338},{73,153,0},{248,0,421},{125,209,0},{138,182,0},{92,182,0},{248,0,421},{254,124,421},{92,182,0},{0,167,421},{254,124,421},{0,167,421},{112,0,421},{112,0,421},{112,0,421},{112,0,421},{98,185,0},{98,185,0},{98,185,0},{98,141,0},{71,154,0},{71,154,0},{125,255,994},{121,226,450},{125,194,646},{120,186,446},{113,255,1575},{104,209,434},{107,189,4},
{102,171,646},{54,214,1514},{68,174,450},{135,255,421},{135,215,1},{139,192,36},{132,186,74},{241,0,1514},{98,212,421},{107,189,3},{52,175,421},{255,116,1514},{52,175,421},{121,241,421},{121,241,421},{121,241,421},{121,180,421},{106,233,338},{107,188,3},{107,188,3},{104,158,38},{67,187,338},{79,161,1},{135,213,0},{135,213,0},{135,213,0},{135,173,0},{220,0,338},{110,185,0},{110,185,0},{81,161,0},{255,95,338},
{81,161,0},{255,10,421},{133,217,0},{146,190,0},{100,190,0},{255,10,421},{255,135,421},{100,190,0},{0,175,421},{255,135,421},{0,175,421},{120,0,421},{120,0,421},{120,0,421},{120,0,421},{106,193,0},{106,193,0},{106,193,0},{106,149,0},{79,162,0},{79,162,0},{135,255,1070},{129,234,450},{133,202,646},{128,195,446},{122,255,1626},{112,216,438},{115,197,4},{110,179,646},{62,222,1514},{76,182,450},{146,254,434},
{143,223,1},{146,199,35},{140,194,74},{253,0,1514},{106,220,421},{115,197,3},{60,183,421},{254,128,1514},{60,183,421},{129,249,421},{129,249,421},{129,249,421},{129,188,421},{114,241,338},{115,196,3},{115,196,3},{112,166,38},{75,195,338},{87,169,1},{143,221,0},{143,221,0},{143,221,0},{143,181,0},{232,0,338},{118,193,0},{118,193,0},{89,169,0},{255,107,338},{89,169,0},{255,34,421},{141,225,0},{154,198,0},
{108,198,0},{255,34,421},{255,147,421},{108,198,0},{0,183,421},{255,147,421},{0,183,421},{128,0,421},{128,0,421},{128,0,421},{128,0,421},{114,201,0},{114,201,0},{114,201,0},{114,157,0},{87,170,0},{87,170,0},{144,255,1190},{138,243,450},{142,211,646},{137,204,446},{132,255,1703},{121,225,438},{124,206,4},{121,187,654},{71,231,1514},{85,191,450},{156,255,461},{152,232,1},{155,208,35},{151,202,75},{255,22,1514},
{114,229,421},{124,206,3},{69,192,421},{255,141,1514},{69,192,421},{138,255,422},{138,255,422},{138,255,422},{137,197,421},{123,250,338},{124,205,3},{124,205,3},{121,175,38},{84,204,338},{96,178,1},{152,230,0},{152,230,0},{152,230,0},{152,190,0},{245,0,338},{127,202,0},{127,202,0},{97,178,0},{254,121,338},{97,178,0},{255,61,421},{150,234,0},{163,207,0},{117,207,0},{255,61,421},{254,161,421},{117,207,0},
{0,192,421},{254,161,421},{0,192,421},{137,0,421},{137,0,421},{137,0,421},{137,0,421},{123,210,0},{123,210,0},{123,210,0},{123,166,0},{95,179,0},{95,179,0},{153,255,1318},{146,251,450},{150,219,646},{145,212,446},{144,255,1791},{129,233,438},{132,214,4},{126,196,655},{78,240,1514},{93,199,450},{165,255,506},{160,240,1},{163,216,35},{158,210,78},{255,46,1514},{122,237,421},{132,214,3},{77,200,421},{255,153,1514},
{77,200,421},{147,255,434},{147,255,434},{147,255,434},{145,205,421},{132,255,339},{132,213,3},{132,213,3},{129,183,38},{92,212,338},{104,186,1},{160,238,0},{160,238,0},{160,238,0},{160,198,0},{255,4,338},{135,210,0},{135,210,0},{105,186,0},{255,132,338},{105,186,0},{255,86,421},{158,242,0},{171,215,0},{125,215,0},{255,86,421},{255,172,421},{125,215,0},{0,200,421},{255,172,421},{0,200,421},{145,0,421},
{145,0,421},{145,0,421},{145,0,421},{131,218,0},{131,218,0},{131,218,0},{131,174,0},{103,187,0},{103,187,0},{162,255,1466},{156,255,458},{158,226,639},{153,220,446},{153,255,1902},{137,240,438},{140,222,4},{134,204,655},{85,248,1514},{101,207,450},{175,255,554},{168,249,1},{171,224,35},{166,218,78},{255,70,1514},{130,245,421},{140,222,3},{85,208,421},{255,165,1514},{85,208,421},{156,255,458},{156,255,458},{156,255,458},
{153,213,421},{141,255,350},{140,221,3},{140,221,3},{137,191,38},{99,220,338},{112,194,1},{168,245,0},{168,245,0},{168,245,0},{168,206,0},{255,28,338},{143,218,0},{143,218,0},{113,194,0},{255,144,338},{113,194,0},{255,110,421},{166,250,0},{179,223,0},{133,223,0},{255,110,421},{255,184,421},{133,223,0},{0,208,421},{255,184,421},{0,208,421},{153,0,421},{153,0,421},{153,0,421},{153,0,421},{139,226,0},
{139,226,0},{139,226,0},{139,182,0},{111,195,0},{111,195,0},{172,255,1606},{165,255,519},{166,234,639},{161,228,446},{165,255,2030},{145,248,438},{148,230,4},{142,212,655},{95,255,1515},{109,215,450},{187,255,626},{177,255,3},{179,232,35},{174,226,78},{255,95,1514},{138,253,421},{148,230,3},{93,216,421},{254,177,1514},{93,216,421},{165,255,494},{165,255,494},{165,255,494},{161,221,421},{150,255,379},{148,229,3},{148,229,3},
{145,199,38},{107,228,338},{120,202,1},{176,253,0},{176,253,0},{176,253,0},{176,214,0},{255,52,338},{151,226,0},{151,226,0},{121,202,0},{255,156,338},{121,202,0},{255,134,421},{177,255,2},{187,231,0},{141,231,0},{255,134,421},{255,196,421},{141,231,0},{0,216,421},{255,196,421},{0,216,421},{161,0,421},{161,0,421},{161,0,421},{161,0,421},{147,234,0},{147,234,0},{147,234,0},{147,190,0},{119,203,0},
{119,203,0},{184,255,1818},{175,255,663},{175,243,639},{170,237,446},{175,255,2175},{155,255,443},{157,239,4},{151,221,655},{113,255,1557},{118,224,450},{196,255,722},{189,255,52},{188,241,35},{183,235,78},{255,122,1514},{155,255,442},{157,239,3},{101,225,421},{255,190,1514},{101,225,421},{175,255,542},{175,255,542},{175,255,542},{170,230,421},{162,255,424},{157,238,3},{157,238,3},{155,207,42},{116,237,338},{129,211,1},{186,254,5},
{186,254,5},{186,254,5},{185,223,0},{255,79,338},{160,235,0},{160,235,0},{130,211,0},{253,170,338},{130,211,0},{255,161,421},{192,255,29},{196,240,0},{150,240,0},{255,161,421},{254,210,421},{150,240,0},{0,225,421},{254,210,421},{0,225,421},{170,0,421},{170,0,421},{170,0,421},{170,0,421},{156,243,0},{156,243,0},{156,243,0},{156,199,0},{128,212,0},{128,212,0},{193,255,2022},{184,255,858},{183,251,639},
{178,245,446},{187,255,2343},{167,255,523},{165,247,4},{159,229,655},{131,255,1653},{126,232,450},{208,255,826},{198,255,150},{196,249,35},{191,243,78},{255,146,1514},{167,255,514},{165,247,3},{109,233,421},{255,202,1514},{109,233,421},{181,255,602},{181,255,602},{181,255,602},{178,238,421},{172,255,474},{165,246,3},{165,246,3},{163,215,42},{124,245,338},{137,219,1},{196,255,18},{196,255,18},{196,255,18},{193,231,0},{255,104,338},
{168,243,0},{168,243,0},{138,219,0},{255,181,338},{138,219,0},{255,186,421},{207,255,80},{204,248,0},{158,248,0},{255,186,421},{255,221,421},{158,248,0},{0,233,421},{255,221,421},{0,233,421},{178,0,421},{178,0,421},{178,0,421},{178,0,421},{164,251,0},{164,251,0},{164,251,0},{164,207,0},{136,220,0},{136,220,0},{202,255,2175},{195,255,1070},{190,255,670},{186,253,441},{196,255,2443},{177,255,663},{172,255,2},
{167,237,618},{146,255,1735},{135,240,423},{215,255,876},{207,255,277},{205,255,41},{199,251,69},{255,171,1459},{186,255,584},{174,254,2},{117,241,392},{254,214,1459},{117,241,392},{190,255,670},{190,255,670},{190,255,670},{186,246,421},{181,255,547},{173,253,2},{173,253,2},{171,223,42},{132,253,338},{145,227,1},{205,255,41},{205,255,41},{205,255,41},{201,239,0},{255,128,338},{176,251,0},{176,251,0},{146,227,0},{255,193,338},
{146,227,0},{255,210,392},{222,255,136},{213,255,0},{167,255,0},{255,210,392},{255,233,392},{167,255,0},{0,241,392},{255,233,392},{0,241,392},{186,0,421},{186,0,421},{186,0,421},{186,0,421},{172,255,1},{172,255,1},{172,255,1},{172,214,0},{144,228,0},{144,228,0},{208,255,1867},{202,255,1047},{199,255,750},{194,255,421},{205,255,2052},{186,255,524},{183,255,22},{177,241,362},{161,255,1400},{145,244,215},{224,255,625},
{216,255,229},{215,255,72},{207,253,17},{255,186,1064},{198,255,392},{186,255,4},{133,245,200},{255,221,1064},{133,245,200},{199,255,750},{199,255,750},{199,255,750},{194,254,421},{193,255,635},{183,255,22},{183,255,22},{179,231,42},{146,255,350},{153,235,1},{215,255,72},{215,255,72},{215,255,72},{209,247,0},{255,152,338},{186,255,4},{186,255,4},{154,235,0},{255,205,338},{154,235,0},{255,222,200},{231,255,65},{224,255,0},
{192,255,0},{255,222,200},{255,239,200},{192,255,0},{0,245,200},{255,239,200},{0,245,200},{194,0,421},{194,0,421},{194,0,421},{194,0,421},{181,255,10},{181,255,10},{181,255,10},{180,222,0},{152,236,0},{152,236,0},{215,255,1586},{211,255,1053},{211,255,857},{204,255,446},{215,255,1698},{198,255,455},{195,255,109},{186,247,163},{177,255,1161},{158,249,63},{230,255,425},{226,255,209},{224,255,117},{218,255,1},{255,204,722},
{210,255,254},{204,255,34},{152,249,61},{255,230,722},{152,249,61},{211,255,857},{211,255,857},{211,255,857},{204,255,446},{202,255,749},{195,255,109},{195,255,109},{188,240,42},{164,255,413},{162,244,1},{224,255,117},{224,255,117},{224,255,117},{218,254,1},{255,180,338},{204,255,34},{204,255,34},{163,244,0},{255,218,338},{163,244,0},{255,234,61},{240,255,17},{238,255,0},{219,255,0},{255,234,61},{255,245,61},{219,255,0},
{0,249,61},{255,245,61},{0,249,61},{203,0,421},{203,0,421},{203,0,421},{203,0,421},{193,255,32},{193,255,32},{193,255,32},{189,231,0},{161,245,0},{161,245,0},{224,255,1422},{221,255,1083},{218,255,946},{213,255,525},{221,255,1470},{207,255,478},{204,255,243},{196,251,67},{189,255,1025},{169,253,5},{239,255,318},{235,255,217},{233,255,170},{228,255,29},{255,219,509},{222,255,198},{219,255,89},{169,253,5},{254,238,509},
{169,253,5},{218,255,946},{218,255,946},{218,255,946},{213,255,525},{215,255,862},{204,255,243},{204,255,243},{196,248,42},{180,255,530},{169,252,1},{233,255,170},{233,255,170},{233,255,170},{228,255,29},{255,204,338},{219,255,89},{219,255,89},{171,252,0},{255,230,338},{171,252,0},{255,246,5},{251,254,1},{250,255,0},{243,255,0},{255,246,5},{255,251,5},{243,255,0},{0,253,5},{255,251,5},{0,253,5},{211,0,421},
{211,0,421},{211,0,421},{211,0,421},{202,255,61},{202,255,61},{202,255,61},{197,239,0},{169,253,0},{169,253,0},{230,255,1153},{227,255,938},{227,255,857},{222,255,533},{227,255,1141},{216,255,434},{213,255,282},{204,253,18},{201,255,790},{183,255,8},{242,255,192},{242,255,144},{239,255,125},{237,255,34},{255,231,294},{234,255,121},{228,255,73},{189,255,0},{254,244,294},{189,255,0},{227,255,857},{227,255,857},{227,255,857},
{222,255,533},{221,255,741},{213,255,282},{213,255,282},{204,253,14},{192,255,465},{183,255,8},{239,255,125},{239,255,125},{239,255,125},{237,255,34},{255,219,221},{228,255,73},{228,255,73},{189,255,0},{254,238,221},{189,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{219,0,421},{219,0,421},{219,0,421},{219,0,421},{211,255,100},
{211,255,100},{211,255,100},{205,247,0},{183,255,8},{183,255,8},{236,255,853},{233,255,726},{233,255,677},{228,255,485},{233,255,793},{225,255,355},{222,255,262},{213,255,0},{213,255,534},{195,255,40},{248,255,68},{245,255,54},{245,255,45},{243,255,10},{255,240,113},{240,255,41},{240,255,25},{213,255,0},{255,248,113},{213,255,0},{233,255,677},{233,255,677},{233,255,677},{228,255,485},{227,255,545},{222,255,262},{222,255,262},
{213,255,0},{204,255,329},{195,255,40},{245,255,45},{245,255,45},{245,255,45},{243,255,10},{255,231,85},{240,255,25},{240,255,25},{213,255,0},{254,244,85},{213,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{227,0,421},{227,0,421},{227,0,421},{227,0,421},{221,255,145},{221,255,145},{221,255,145},{213,255,0},{195,255,40},
{195,255,40},{0,119,882},{0,84,97},{0,60,1},{0,50,325},{0,79,1896},{0,51,1188},{0,47,563},{0,31,1410},{0,36,2029},{0,31,1510},{0,119,882},{0,84,97},{0,60,1},{0,50,325},{39,0,1896},{0,51,1188},{0,47,563},{0,31,1410},{79,0,1896},{0,31,1410},{0,55,0},{0,55,0},{0,55,0},{0,27,0},{0,28,162},{0,21,52},{0,21,52},{0,13,89},{0,12,173},{0,13,105},{0,55,0},
{0,55,0},{0,55,0},{0,27,0},{14,0,162},{0,21,52},{0,21,52},{0,13,89},{28,0,162},{0,13,89},{58,0,882},{0,84,97},{0,60,1},{0,50,325},{58,0,882},{119,0,882},{0,50,325},{0,39,882},{119,0,882},{0,39,882},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,143,882},{0,97,34},{1,68,11},
{0,59,250},{0,95,2355},{0,63,1332},{0,54,585},{0,40,1656},{0,45,2556},{0,37,1802},{0,143,882},{0,97,34},{2,69,9},{0,59,250},{46,0,2355},{0,63,1332},{0,54,585},{0,40,1656},{95,0,2355},{0,40,1656},{0,79,0},{0,79,0},{0,79,0},{0,39,0},{0,40,338},{0,33,116},{0,33,116},{0,19,193},{0,18,365},{0,16,225},{0,79,0},{0,79,0},{0,79,0},{0,39,0},{20,0,338},
{0,33,116},{0,33,116},{0,19,193},{40,0,338},{0,19,193},{70,0,882},{0,97,34},{6,68,0},{0,59,250},{70,0,882},{143,0,882},{0,59,250},{0,47,882},{143,0,882},{0,47,882},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,167,882},{0,112,5},{2,78,61},{0,68,185},{0,113,2899},{0,75,1508},{0,63,633},
{0,44,1965},{0,51,3176},{0,44,2161},{0,167,882},{0,112,5},{4,77,53},{0,68,185},{55,0,2899},{0,75,1508},{0,63,633},{0,44,1965},{113,0,2899},{0,44,1965},{0,104,0},{0,104,0},{0,104,0},{0,51,0},{0,52,578},{0,42,205},{0,42,205},{0,25,337},{0,24,629},{0,22,389},{0,104,0},{0,104,0},{0,104,0},{0,51,0},{26,0,578},{0,42,205},{0,42,205},{0,25,337},{52,0,578},
{0,25,337},{82,0,882},{0,112,5},{14,76,0},{0,68,185},{82,0,882},{167,0,882},{0,68,185},{0,55,882},{167,0,882},{0,55,882},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,186,900},{3,124,18},{6,88,133},{1,78,162},{0,134,3048},{0,88,1398},{0,72,469},{0,53,1923},{0,60,3457},{0,50,2205},{6,179,882},
{6,121,2},{10,86,69},{3,77,158},{66,0,3048},{0,88,1398},{0,72,469},{0,53,1923},{134,0,3048},{0,53,1923},{3,122,18},{3,122,18},{3,122,18},{3,61,18},{0,73,648},{0,54,157},{0,54,157},{0,31,317},{0,33,756},{0,31,417},{6,116,0},{6,116,0},{6,116,0},{6,60,0},{36,0,648},{0,54,157},{0,54,157},{0,31,317},{73,0,648},{0,31,317},{94,0,882},{2,124,0},{22,84,0},
{0,77,130},{94,0,882},{192,0,882},{0,77,130},{0,63,882},{192,0,882},{0,63,882},{3,0,18},{3,0,18},{3,0,18},{3,0,18},{0,19,0},{0,19,0},{0,19,0},{0,9,0},{0,9,4},{0,9,4},{8,203,995},{8,136,115},{11,96,290},{6,86,230},{0,161,3048},{0,100,1221},{0,84,250},{0,62,1758},{0,75,3651},{0,60,2156},{15,188,882},{15,130,2},{19,95,69},{12,86,158},{79,0,3048},
{0,100,1221},{0,84,250},{0,62,1758},{161,0,3048},{0,62,1758},{8,139,113},{8,139,113},{8,139,113},{8,72,113},{0,101,648},{0,72,73},{0,72,73},{0,40,242},{0,45,862},{0,39,409},{15,125,0},{15,125,0},{15,125,0},{15,69,0},{49,0,648},{0,72,73},{0,72,73},{0,40,242},{101,0,648},{0,40,242},{107,0,882},{11,133,0},{31,93,0},{0,87,85},{107,0,882},{219,0,882},{0,87,85},
{0,72,882},{219,0,882},{0,72,882},{7,0,113},{7,0,113},{7,0,113},{7,0,113},{0,46,0},{0,46,0},{0,46,0},{0,23,0},{0,18,34},{0,18,34},{12,219,1147},{12,146,275},{16,104,510},{11,95,365},{0,186,3048},{0,115,1096},{0,94,114},{0,71,1620},{0,88,3844},{0,69,2137},{23,196,882},{23,138,2},{27,103,69},{20,94,158},{91,0,3048},{0,115,1096},{0,94,114},{0,71,1620},{186,0,3048},
{0,71,1620},{12,155,265},{12,155,265},{12,155,265},{12,82,265},{0,125,648},{0,84,25},{0,84,25},{0,53,180},{0,54,987},{0,48,427},{23,133,0},{23,133,0},{23,133,0},{23,77,0},{61,0,648},{0,84,25},{0,84,25},{0,53,180},{125,0,648},{0,53,180},{119,0,882},{20,140,0},{39,101,0},{0,96,50},{119,0,882},{243,0,882},{0,96,50},{0,80,882},{243,0,882},{0,80,882},{11,0,265},
{11,0,265},{11,0,265},{11,0,265},{0,70,0},{0,70,0},{0,70,0},{0,35,0},{0,27,89},{0,27,89},{16,235,1363},{17,157,505},{20,114,802},{14,104,559},{0,210,3048},{0,127,1000},{0,105,34},{0,80,1494},{0,94,4056},{0,78,2148},{31,204,882},{31,145,2},{35,111,69},{27,102,165},{103,0,3048},{0,127,1000},{0,105,34},{0,80,1494},{210,0,3048},{0,80,1494},{16,171,481},{16,171,481},{16,171,481},
{16,92,481},{0,149,648},{0,100,1},{0,100,1},{0,62,125},{0,66,1139},{0,57,473},{31,140,0},{31,140,0},{31,140,0},{31,85,0},{73,0,648},{0,100,1},{0,100,1},{0,62,125},{149,0,648},{0,62,125},{131,0,882},{28,148,0},{47,109,0},{0,105,25},{131,0,882},{255,6,882},{0,105,25},{0,88,882},{255,6,882},{0,88,882},{15,0,481},{15,0,481},{15,0,481},{15,0,481},{0,95,0},
{0,95,0},{0,95,0},{0,46,0},{0,39,169},{0,39,169},{20,251,1643},{21,167,805},{25,122,1170},{19,112,822},{0,234,3048},{0,141,933},{1,115,10},{0,90,1395},{0,106,4312},{0,84,2188},{39,212,882},{39,153,2},{43,119,69},{35,110,165},{115,0,3048},{0,141,933},{1,115,9},{0,90,1395},{234,0,3048},{0,90,1395},{20,187,761},{20,187,761},{20,187,761},{19,102,761},{0,174,648},{1,111,5},{1,111,5},
{0,71,80},{0,75,1322},{0,66,547},{39,148,0},{39,148,0},{39,148,0},{39,93,0},{85,0,648},{5,109,0},{5,109,0},{0,71,80},{174,0,648},{0,71,80},{143,0,882},{36,156,0},{55,117,0},{0,115,8},{143,0,882},{255,18,882},{0,115,8},{0,96,882},{255,18,882},{0,96,882},{19,0,761},{19,0,761},{19,0,761},{19,0,761},{0,119,0},{0,119,0},{0,119,0},{0,58,0},{0,48,274},
{0,48,274},{29,254,1780},{29,178,935},{33,133,1327},{26,122,936},{6,249,3048},{3,153,909},{8,125,13},{0,99,1314},{0,121,4212},{0,97,1924},{48,221,882},{48,162,2},{52,128,69},{44,119,165},{128,0,3048},{0,156,891},{10,124,9},{0,99,1278},{255,3,3048},{0,99,1278},{27,200,882},{27,200,882},{27,200,882},{27,112,882},{6,189,648},{7,123,11},{7,123,11},{3,80,61},{0,91,1227},{0,75,409},{48,157,0},
{48,157,0},{48,157,0},{48,102,0},{98,0,648},{14,118,0},{14,118,0},{0,80,41},{201,0,648},{0,80,41},{156,0,882},{45,165,0},{63,126,0},{0,126,0},{156,0,882},{254,32,882},{0,126,0},{0,105,882},{254,32,882},{0,105,882},{27,0,882},{27,0,882},{27,0,882},{27,0,882},{6,134,0},{6,134,0},{6,134,0},{6,69,0},{0,63,232},{0,63,232},{38,254,1814},{37,186,935},{41,141,1327},
{34,130,936},{15,255,3049},{11,161,909},{16,133,13},{8,107,1314},{0,132,3964},{0,106,1605},{56,229,882},{56,170,2},{60,136,69},{52,127,165},{140,0,3048},{2,167,882},{18,132,9},{0,108,1188},{255,15,3048},{0,108,1188},{35,208,882},{35,208,882},{35,208,882},{35,120,882},{14,196,648},{15,131,11},{15,131,11},{11,88,61},{0,103,1059},{0,88,221},{56,165,0},{56,165,0},{56,165,0},{56,110,0},{110,0,648},
{22,126,0},{22,126,0},{0,90,20},{225,0,648},{0,90,20},{168,0,882},{53,173,0},{71,134,0},{5,134,0},{168,0,882},{255,43,882},{5,134,0},{0,113,882},{255,43,882},{0,113,882},{35,0,882},{35,0,882},{35,0,882},{35,0,882},{14,142,0},{14,142,0},{14,142,0},{14,77,0},{0,75,136},{0,75,136},{46,255,1854},{45,194,935},{49,149,1327},{42,138,936},{24,255,3064},{19,169,909},{22,141,14},
{16,115,1314},{0,144,3748},{0,115,1348},{64,237,882},{64,178,2},{68,144,69},{60,135,165},{152,0,3048},{10,175,882},{26,140,9},{0,117,1110},{255,27,3048},{0,117,1110},{43,216,882},{43,216,882},{43,216,882},{43,128,882},{22,204,648},{23,139,11},{23,139,11},{21,95,62},{0,118,922},{0,97,91},{64,173,0},{64,173,0},{64,173,0},{64,117,0},{122,0,648},{30,134,0},{30,134,0},{0,99,5},{249,0,648},
{0,99,5},{180,0,882},{61,181,0},{79,142,0},{13,142,0},{180,0,882},{255,55,882},{13,142,0},{0,121,882},{255,55,882},{0,121,882},{43,0,882},{43,0,882},{43,0,882},{43,0,882},{22,150,0},{22,150,0},{22,150,0},{22,85,0},{0,91,58},{0,91,58},{55,255,1924},{53,202,935},{57,157,1327},{50,146,936},{36,255,3096},{27,177,909},{30,149,14},{24,123,1314},{0,159,3559},{0,124,1153},{72,245,882},
{72,186,2},{77,152,65},{68,143,165},{164,0,3048},{19,182,882},{33,148,9},{0,126,1044},{255,39,3048},{0,126,1044},{51,224,882},{51,224,882},{51,224,882},{51,136,882},{30,212,648},{32,147,9},{32,147,9},{28,103,65},{0,129,810},{0,106,21},{72,181,0},{72,181,0},{72,181,0},{72,125,0},{134,0,648},{38,142,0},{38,142,0},{0,108,0},{255,9,648},{0,108,0},{192,0,882},{69,189,0},{87,150,0},
{21,150,0},{192,0,882},{255,67,882},{21,150,0},{0,129,882},{255,67,882},{0,129,882},{51,0,882},{51,0,882},{51,0,882},{51,0,882},{30,158,0},{30,158,0},{30,158,0},{30,93,0},{0,106,17},{0,106,17},{67,255,2024},{62,211,935},{66,166,1327},{59,155,936},{46,255,3145},{36,186,909},{40,158,10},{33,132,1314},{0,172,3364},{0,133,1012},{81,254,882},{81,195,2},{86,161,65},{77,152,165},{177,0,3048},
{28,191,882},{42,157,9},{0,136,990},{255,52,3048},{0,136,990},{60,233,882},{60,233,882},{60,233,882},{60,145,882},{39,221,648},{41,156,9},{41,156,9},{37,112,65},{0,144,720},{2,118,3},{81,190,0},{81,190,0},{81,190,0},{81,134,0},{147,0,648},{47,151,0},{47,151,0},{7,117,0},{254,23,648},{7,117,0},{205,0,882},{78,198,0},{96,159,0},{30,159,0},{205,0,882},{254,81,882},{30,159,0},
{0,138,882},{254,81,882},{0,138,882},{60,0,882},{60,0,882},{60,0,882},{60,0,882},{39,167,0},{39,167,0},{39,167,0},{39,102,0},{0,121,0},{0,121,0},{76,255,2134},{70,218,935},{74,174,1327},{66,163,942},{58,255,3217},{45,193,904},{48,166,10},{41,140,1314},{0,184,3244},{0,145,948},{91,254,888},{89,203,2},{94,169,65},{85,160,165},{189,0,3048},{36,199,882},{50,165,9},{0,145,948},{255,64,3048},
{0,145,948},{68,241,882},{68,241,882},{68,241,882},{68,153,882},{47,229,648},{49,164,9},{49,164,9},{45,120,65},{0,156,672},{10,126,3},{89,198,0},{89,198,0},{89,198,0},{89,142,0},{159,0,648},{56,158,0},{56,158,0},{15,125,0},{254,35,648},{15,125,0},{217,0,882},{86,206,0},{104,167,0},{38,167,0},{217,0,882},{255,92,882},{38,167,0},{0,146,882},{255,92,882},{0,146,882},{68,0,882},
{68,0,882},{68,0,882},{68,0,882},{47,174,0},{47,174,0},{47,174,0},{47,109,0},{7,129,0},{7,129,0},{86,255,2252},{78,226,935},{82,182,1327},{74,171,942},{67,255,3300},{53,201,904},{56,174,10},{49,148,1314},{0,199,3151},{3,152,935},{101,255,906},{97,211,2},{102,177,65},{93,168,165},{201,0,3048},{44,207,882},{58,173,9},{0,152,915},{255,76,3048},{0,152,915},{76,249,882},{76,249,882},{76,249,882},
{76,161,882},{55,237,648},{57,172,9},{57,172,9},{53,128,65},{0,171,649},{18,134,3},{97,206,0},{97,206,0},{97,206,0},{97,150,0},{171,0,648},{64,166,0},{64,166,0},{23,133,0},{255,46,648},{23,133,0},{229,0,882},{94,214,0},{112,175,0},{46,175,0},{229,0,882},{255,104,882},{46,175,0},{0,154,882},{255,104,882},{0,154,882},{76,0,882},{76,0,882},{76,0,882},{76,0,882},{55,182,0},
{55,182,0},{55,182,0},{55,117,0},{16,136,0},{16,136,0},{95,255,2398},{86,234,935},{90,190,1327},{82,179,942},{76,255,3409},{61,209,904},{64,182,10},{56,155,1318},{0,211,3087},{11,160,935},{110,255,939},{105,219,2},{110,185,65},{101,176,165},{213,0,3048},{52,215,882},{66,181,9},{0,161,893},{254,88,3048},{0,161,893},{84,254,883},{84,254,883},{84,254,883},{84,169,882},{63,245,648},{65,180,9},{65,180,9},
{61,136,65},{7,179,648},{27,141,2},{105,214,0},{105,214,0},{105,214,0},{105,158,0},{183,0,648},{72,174,0},{72,174,0},{31,141,0},{255,58,648},{31,141,0},{241,0,882},{101,222,0},{120,183,0},{54,183,0},{241,0,882},{255,116,882},{54,183,0},{0,162,882},{255,116,882},{0,162,882},{84,0,882},{84,0,882},{84,0,882},{84,0,882},{63,190,0},{63,190,0},{63,190,0},{63,125,0},{24,144,0},
{24,144,0},{104,255,2584},{95,243,935},{100,199,1318},{91,188,942},{89,255,3529},{69,219,909},{73,191,10},{65,165,1327},{0,224,3052},{20,169,935},{122,255,996},{114,228,2},{119,194,65},{111,183,171},{226,0,3048},{61,224,882},{75,190,9},{0,171,883},{255,101,3048},{0,171,883},{94,254,893},{94,254,893},{94,254,893},{93,177,882},{72,254,648},{74,189,9},{74,189,9},{70,145,65},{16,188,648},{36,150,2},{114,222,0},
{114,222,0},{114,222,0},{114,167,0},{196,0,648},{81,183,0},{81,183,0},{39,150,0},{254,72,648},{39,150,0},{254,0,882},{110,231,0},{129,192,0},{63,192,0},{254,0,882},{255,129,882},{63,192,0},{0,171,882},{255,129,882},{0,171,882},{93,0,882},{93,0,882},{93,0,882},{93,0,882},{72,199,0},{72,199,0},{72,199,0},{72,134,0},{33,153,0},{33,153,0},{113,255,2774},{103,251,935},{107,206,1314},
{99,196,942},{98,255,3672},{77,227,909},{81,199,10},{73,173,1327},{5,235,3048},{28,177,935},{132,255,1054},{121,236,3},{127,202,65},{119,192,173},{238,0,3048},{69,232,882},{83,198,9},{4,179,882},{255,113,3048},{4,179,882},{103,254,915},{103,254,915},{103,254,915},{101,185,882},{82,255,654},{82,197,9},{82,197,9},{78,153,65},{24,196,648},{44,158,2},{122,230,0},{122,230,0},{122,230,0},{122,175,0},{208,0,648},
{89,191,0},{89,191,0},{47,158,0},{254,84,648},{47,158,0},{255,22,882},{118,239,0},{137,200,0},{71,200,0},{255,22,882},{255,141,882},{71,200,0},{0,179,882},{255,141,882},{0,179,882},{101,0,882},{101,0,882},{101,0,882},{101,0,882},{80,207,0},{80,207,0},{80,207,0},{80,142,0},{41,161,0},{41,161,0},{122,255,2984},{110,255,948},{115,214,1314},{107,204,942},{110,255,3832},{85,235,909},{89,207,10},
{81,181,1327},{13,243,3048},{36,185,935},{141,255,1131},{129,244,3},{135,210,65},{127,200,173},{250,0,3048},{77,240,882},{91,206,9},{12,187,882},{255,125,3048},{12,187,882},{110,255,948},{110,255,948},{110,255,948},{109,193,882},{92,255,672},{90,205,9},{90,205,9},{86,161,65},{32,204,648},{52,166,2},{130,238,0},{130,238,0},{130,238,0},{130,183,0},{220,0,648},{97,199,0},{97,199,0},{55,166,0},{255,95,648},
{55,166,0},{255,46,882},{126,247,0},{145,208,0},{79,208,0},{255,46,882},{255,153,882},{79,208,0},{0,187,882},{255,153,882},{0,187,882},{109,0,882},{109,0,882},{109,0,882},{109,0,882},{88,215,0},{88,215,0},{88,215,0},{88,150,0},{49,169,0},{49,169,0},{132,255,3182},{122,255,1012},{123,222,1314},{115,212,942},{119,255,4009},{93,243,909},{97,215,10},{89,189,1327},{21,251,3048},{44,193,935},{150,255,1226},
{137,252,3},{143,218,65},{135,208,173},{255,13,3048},{83,249,882},{99,214,9},{20,195,882},{254,137,3048},{20,195,882},{119,255,990},{119,255,990},{119,255,990},{117,201,882},{101,255,705},{98,213,9},{98,213,9},{94,169,65},{40,212,648},{60,174,2},{138,246,0},{138,246,0},{138,246,0},{138,191,0},{232,0,648},{104,208,0},{104,208,0},{63,174,0},{255,107,648},{63,174,0},{255,70,882},{134,255,0},{153,216,0},
{86,216,0},{255,70,882},{255,165,882},{86,216,0},{0,195,882},{255,165,882},{0,195,882},{117,0,882},{117,0,882},{117,0,882},{117,0,882},{96,223,0},{96,223,0},{96,223,0},{96,158,0},{57,177,0},{57,177,0},{141,255,3464},{131,255,1153},{132,231,1314},{124,221,942},{132,255,4209},{102,252,909},{105,224,14},{98,198,1327},{37,255,3060},{53,202,935},{162,255,1349},{149,255,21},{152,227,65},{144,217,173},{255,40,3048},
{95,255,885},{108,223,9},{29,204,882},{255,150,3048},{29,204,882},{129,255,1044},{129,255,1044},{129,255,1044},{126,210,882},{113,255,762},{107,222,9},{107,222,9},{103,178,65},{49,221,648},{69,183,2},{147,255,0},{147,255,0},{147,255,0},{147,200,0},{245,0,648},{112,217,0},{112,217,0},{72,183,0},{254,121,648},{72,183,0},{255,98,882},{149,255,17},{162,225,0},{95,225,0},{255,98,882},{255,178,882},{95,225,0},
{0,204,882},{255,178,882},{0,204,882},{126,0,882},{126,0,882},{126,0,882},{126,0,882},{105,232,0},{105,232,0},{105,232,0},{105,167,0},{66,186,0},{66,186,0},{150,255,3734},{140,255,1348},{140,239,1314},{132,229,942},{141,255,4420},{113,255,925},{113,232,14},{106,206,1327},{52,255,3132},{61,210,935},{172,255,1459},{158,255,91},{160,234,62},{152,225,173},{255,64,3048},{110,255,923},{116,232,11},{37,212,882},{255,162,3048},
{37,212,882},{138,255,1110},{138,255,1110},{138,255,1110},{134,218,882},{122,255,827},{115,229,9},{115,229,9},{111,187,69},{57,229,648},{77,191,2},{156,255,5},{156,255,5},{156,255,5},{155,208,0},{255,4,648},{120,225,0},{120,225,0},{80,191,0},{255,132,648},{80,191,0},{255,122,882},{164,255,58},{170,233,0},{103,233,0},{255,122,882},{255,190,882},{103,233,0},{0,212,882},{255,190,882},{0,212,882},{134,0,882},
{134,0,882},{134,0,882},{134,0,882},{113,240,0},{113,240,0},{113,240,0},{113,175,0},{74,194,0},{74,194,0},{162,255,4022},{149,255,1605},{148,247,1314},{140,237,942},{150,255,4657},{122,255,1020},{122,239,13},{114,214,1327},{70,255,3256},{69,218,935},{181,255,1598},{167,255,221},{167,244,61},{160,233,173},{255,89,3048},{128,255,1003},{123,240,11},{45,220,882},{254,174,3048},{45,220,882},{147,255,1188},{147,255,1188},{147,255,1188},
{142,226,882},{132,255,897},{123,237,9},{123,237,9},{119,195,69},{65,237,648},{85,199,2},{165,255,20},{165,255,20},{165,255,20},{163,216,0},{255,28,648},{128,233,0},{128,233,0},{88,199,0},{255,144,648},{88,199,0},{255,146,882},{180,255,136},{178,241,0},{111,241,0},{255,146,882},{255,202,882},{111,241,0},{0,220,882},{255,202,882},{0,220,882},{142,0,882},{142,0,882},{142,0,882},{142,0,882},{121,248,0},
{121,248,0},{121,248,0},{121,183,0},{82,202,0},{82,202,0},{172,255,4300},{158,255,1924},{156,255,1314},{150,244,943},{162,255,4905},{134,255,1204},{130,247,13},{122,222,1327},{82,255,3448},{77,226,935},{190,255,1755},{180,255,409},{175,252,61},{168,241,173},{255,113,3048},{143,255,1125},{131,248,11},{53,228,882},{254,186,3048},{53,228,882},{156,255,1278},{156,255,1278},{156,255,1278},{150,234,882},{141,255,992},{131,245,9},{131,245,9},
{127,203,69},{73,245,648},{93,207,2},{175,255,41},{175,255,41},{175,255,41},{171,224,0},{255,52,648},{137,240,0},{137,240,0},{96,207,0},{255,156,648},{96,207,0},{255,171,882},{192,255,232},{186,249,0},{119,249,0},{255,171,882},{254,214,882},{119,249,0},{0,228,882},{254,214,882},{0,228,882},{150,0,882},{150,0,882},{150,0,882},{150,0,882},{129,255,0},{129,255,0},{129,255,0},{129,191,0},{90,210,0},
{90,210,0},{178,255,4349},{171,255,2188},{165,255,1395},{159,251,923},{172,255,4837},{146,255,1309},{140,254,10},{132,229,1170},{104,255,3433},{88,234,805},{202,255,1725},{189,255,547},{184,255,80},{176,249,133},{255,137,2814},{158,255,1125},{143,254,5},{66,235,761},{254,198,2814},{66,235,761},{165,255,1395},{165,255,1395},{165,255,1395},{159,243,882},{153,255,1115},{140,254,9},{140,254,9},{136,212,69},{81,254,648},{102,216,2},{184,255,80},
{184,255,80},{184,255,80},{180,233,0},{255,79,648},{146,249,0},{146,249,0},{105,216,0},{253,170,648},{105,216,0},{255,192,761},{207,255,274},{196,255,0},{134,255,0},{255,192,761},{255,224,761},{134,255,0},{0,235,761},{255,224,761},{0,235,761},{159,0,882},{159,0,882},{159,0,882},{159,0,882},{140,254,8},{140,254,8},{140,254,8},{138,200,0},{99,219,0},{99,219,0},{187,255,3903},{177,255,2148},{175,255,1494},
{167,253,887},{181,255,4274},{155,255,1106},{149,255,34},{140,234,802},{119,255,2958},{98,238,505},{208,255,1361},{198,255,473},{193,255,125},{187,251,53},{255,152,2249},{167,255,857},{155,255,1},{82,239,481},{255,205,2249},{82,239,481},{175,255,1494},{175,255,1494},{175,255,1494},{167,251,882},{162,255,1242},{149,255,34},{149,255,34},{144,220,69},{95,255,670},{110,224,2},{193,255,125},{193,255,125},{193,255,125},{188,241,0},{255,104,648},
{155,255,1},{155,255,1},{113,224,0},{255,181,648},{113,224,0},{255,204,481},{216,255,169},{208,255,0},{158,255,0},{255,204,481},{255,230,481},{158,255,0},{0,239,481},{255,230,481},{0,239,481},{167,0,882},{167,0,882},{167,0,882},{167,0,882},{149,254,25},{149,254,25},{149,254,25},{146,208,0},{106,227,0},{106,227,0},{193,255,3535},{186,255,2137},{184,255,1620},{175,255,891},{187,255,3794},{167,255,978},{159,255,114},
{150,238,510},{131,255,2574},{109,243,275},{215,255,1046},{207,255,427},{202,255,180},{195,253,9},{255,171,1769},{183,255,650},{167,255,25},{98,243,265},{254,214,1769},{98,243,265},{184,255,1620},{184,255,1620},{184,255,1620},{175,255,891},{172,255,1364},{159,255,114},{159,255,114},{152,228,69},{113,255,734},{117,232,2},{202,255,180},{202,255,180},{202,255,180},{196,249,0},{255,128,648},{167,255,25},{167,255,25},{120,232,0},{255,193,648},
{120,232,0},{255,216,265},{228,255,89},{220,255,0},{183,255,0},{255,216,265},{255,236,265},{183,255,0},{0,243,265},{255,236,265},{0,243,265},{175,0,882},{175,0,882},{175,0,882},{175,0,882},{159,255,50},{159,255,50},{159,255,50},{154,216,0},{114,235,0},{114,235,0},{202,255,3229},{195,255,2156},{193,255,1758},{183,255,946},{196,255,3397},{174,255,950},{171,255,250},{158,243,290},{146,255,2281},{119,247,115},{221,255,822},
{216,255,409},{215,255,242},{204,255,1},{255,186,1374},{195,255,498},{183,255,73},{114,247,113},{255,221,1374},{114,247,113},{193,255,1758},{193,255,1758},{193,255,1758},{183,255,946},{181,255,1521},{171,255,250},{171,255,250},{160,236,69},{128,255,840},{125,240,2},{215,255,242},{215,255,242},{215,255,242},{204,255,1},{255,152,648},{183,255,73},{183,255,73},{128,240,0},{255,205,648},{128,240,0},{255,228,113},{237,255,34},{232,255,0},
{207,255,0},{255,228,113},{255,242,113},{207,255,0},{0,247,113},{255,242,113},{0,247,113},{183,0,882},{183,0,882},{183,0,882},{183,0,882},{168,255,85},{168,255,85},{168,255,85},{162,224,0},{122,243,0},{122,243,0},{211,255,2974},{205,255,2205},{202,255,1923},{195,255,1069},{205,255,3055},{186,255,981},{180,255,469},{167,249,133},{161,255,2061},{131,252,18},{230,255,645},{224,255,417},{224,255,317},{216,255,45},{255,204,1032},
{210,255,404},{201,255,157},{131,252,18},{255,230,1032},{131,252,18},{202,255,1923},{202,255,1923},{202,255,1923},{195,255,1069},{193,255,1710},{180,255,469},{180,255,469},{169,245,69},{146,255,1011},{134,249,2},{224,255,317},{224,255,317},{224,255,317},{216,255,45},{255,180,648},{201,255,157},{201,255,157},{137,249,0},{255,218,648},{137,249,0},{255,243,18},{246,255,4},{245,255,0},{234,255,0},{255,243,18},{254,250,18},{234,255,0},
{0,252,18},{254,250,18},{0,252,18},{192,0,882},{192,0,882},{192,0,882},{192,0,882},{178,255,130},{178,255,130},{178,255,130},{171,233,0},{131,252,0},{131,252,0},{218,255,2682},{211,255,2161},{211,255,1965},{204,255,1170},{215,255,2712},{195,255,1014},{192,255,633},{177,253,61},{167,255,1893},{143,255,5},{236,255,513},{233,255,389},{230,255,337},{225,255,97},{255,219,771},{219,255,342},{213,255,205},{149,255,0},{254,238,771},
{149,255,0},{211,255,1965},{211,255,1965},{211,255,1965},{204,255,1170},{202,255,1755},{192,255,633},{192,255,633},{178,251,53},{161,255,1085},{143,255,5},{230,255,337},{230,255,337},{230,255,337},{225,255,97},{255,201,578},{213,255,205},{213,255,205},{149,255,0},{254,229,578},{149,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{200,0,882},
{200,0,882},{200,0,882},{200,0,882},{187,255,185},{187,255,185},{187,255,185},{179,241,0},{143,255,5},{143,255,5},{221,255,2188},{218,255,1802},{215,255,1656},{210,255,1086},{218,255,2117},{204,255,865},{201,255,585},{187,254,11},{183,255,1467},{158,255,34},{242,255,297},{239,255,225},{236,255,193},{231,255,53},{255,225,451},{228,255,192},{222,255,116},{174,255,0},{254,241,451},{174,255,0},{215,255,1656},{215,255,1656},{215,255,1656},
{210,255,1086},{211,255,1426},{201,255,585},{201,255,585},{186,253,9},{167,255,869},{158,255,34},{236,255,193},{236,255,193},{236,255,193},{231,255,53},{255,213,338},{222,255,116},{222,255,116},{174,255,0},{254,235,338},{174,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{208,0,882},{208,0,882},{208,0,882},{208,0,882},{196,255,250},
{196,255,250},{196,255,250},{187,249,0},{158,255,34},{158,255,34},{227,255,1772},{224,255,1510},{224,255,1410},{219,255,1021},{224,255,1645},{210,255,761},{208,255,563},{195,255,1},{195,255,1123},{171,255,97},{245,255,136},{242,255,105},{242,255,89},{237,255,25},{255,234,216},{237,255,86},{234,255,52},{198,255,0},{255,245,216},{198,255,0},{224,255,1410},{224,255,1410},{224,255,1410},{219,255,1021},{215,255,1140},{208,255,563},{208,255,563},
{195,255,1},{186,255,696},{171,255,97},{242,255,89},{242,255,89},{242,255,89},{237,255,25},{255,225,162},{234,255,52},{234,255,52},{198,255,0},{254,241,162},{198,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{216,0,882},{216,0,882},{216,0,882},{216,0,882},{205,255,325},{205,255,325},{205,255,325},{195,255,1},{171,255,97},
{171,255,97},{0,158,1568},{0,112,169},{0,80,4},{0,68,585},{0,107,3371},{0,69,2124},{0,62,1013},{0,40,2532},{0,48,3617},{0,40,2701},{0,158,1568},{0,112,169},{0,80,4},{0,68,585},{52,0,3371},{0,69,2124},{0,62,1013},{0,40,2532},{107,0,3371},{0,40,2532},{0,73,0},{0,73,0},{0,73,0},{0,36,0},{0,37,288},{0,30,97},{0,30,97},{0,16,164},{0,15,312},{0,16,189},{0,73,0},
{0,73,0},{0,73,0},{0,36,0},{18,0,288},{0,30,97},{0,30,97},{0,16,164},{37,0,288},{0,16,164},{78,0,1568},{0,112,169},{0,80,4},{0,68,585},{78,0,1568},{158,0,1568},{0,68,585},{0,52,1568},{158,0,1568},{0,52,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,183,1568},{0,124,89},{0,89,10},
{0,77,482},{0,122,3968},{0,81,2316},{0,69,1041},{0,50,2857},{0,57,4304},{0,47,3092},{0,183,1568},{0,124,89},{2,88,8},{0,77,482},{60,0,3968},{0,81,2316},{0,69,1041},{0,50,2857},{122,0,3968},{0,50,2857},{0,98,0},{0,98,0},{0,98,0},{0,48,0},{0,49,512},{0,39,180},{0,39,180},{0,22,296},{0,21,556},{0,22,345},{0,98,0},{0,98,0},{0,98,0},{0,48,0},{24,0,512},
{0,39,180},{0,39,180},{0,22,296},{49,0,512},{0,22,296},{89,0,1568},{0,124,89},{5,88,0},{0,77,482},{89,0,1568},{183,0,1568},{0,77,482},{0,60,1568},{183,0,1568},{0,60,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,207,1568},{0,138,34},{2,97,58},{0,83,394},{0,137,4651},{0,91,2507},{0,78,1093},
{0,56,3225},{0,63,5084},{0,53,3532},{0,207,1568},{0,138,34},{3,98,49},{0,83,394},{67,0,4651},{0,91,2507},{0,78,1093},{0,56,3225},{137,0,4651},{0,56,3225},{0,122,0},{0,122,0},{0,122,0},{0,60,0},{0,61,800},{0,48,289},{0,48,289},{0,28,468},{0,27,872},{0,25,545},{0,122,0},{0,122,0},{0,122,0},{0,60,0},{30,0,800},{0,48,289},{0,48,289},{0,28,468},{61,0,800},
{0,28,468},{101,0,1568},{0,138,34},{13,96,0},{0,83,394},{101,0,1568},{207,0,1568},{0,83,394},{0,68,1568},{207,0,1568},{0,68,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,231,1568},{0,153,5},{3,107,148},{0,93,317},{0,155,5419},{0,100,2754},{0,88,1161},{0,62,3641},{0,69,5968},{0,59,4028},{0,231,1568},
{0,153,5},{6,107,126},{0,93,317},{76,0,5419},{0,100,2754},{0,88,1161},{0,62,3641},{155,0,5419},{0,62,3641},{0,146,0},{0,146,0},{0,146,0},{0,72,0},{0,73,1152},{0,57,424},{0,57,424},{0,34,680},{0,33,1260},{0,31,789},{0,146,0},{0,146,0},{0,146,0},{0,72,0},{36,0,1152},{0,57,424},{0,57,424},{0,34,680},{73,0,1152},{0,34,680},{113,0,1568},{0,153,5},{21,104,0},
{0,93,317},{113,0,1568},{231,0,1568},{0,93,317},{0,76,1568},{231,0,1568},{0,76,1568},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{5,248,1609},{4,166,41},{9,116,259},{2,104,303},{0,183,5419},{0,115,2480},{0,100,798},{0,71,3404},{0,84,6188},{0,68,3926},{9,240,1568},{9,162,5},{15,115,121},{5,104,293},{89,0,5419},
{0,115,2480},{0,100,798},{0,71,3404},{183,0,5419},{0,71,3404},{5,163,41},{5,163,41},{5,163,41},{4,83,41},{0,101,1152},{0,75,274},{0,75,274},{0,44,569},{0,45,1366},{0,40,747},{9,155,0},{9,155,0},{9,155,0},{9,81,0},{49,0,1152},{0,75,274},{0,75,274},{0,44,569},{101,0,1152},{0,44,569},{127,0,1568},{4,166,0},{30,113,0},{0,105,233},{127,0,1568},{254,2,1568},{0,105,233},
{0,85,1568},{254,2,1568},{0,85,1568},{4,0,41},{4,0,41},{4,0,41},{4,0,41},{0,28,0},{0,28,0},{0,28,0},{0,14,0},{0,12,10},{0,12,10},{9,255,1731},{9,176,146},{13,126,435},{7,112,374},{0,207,5419},{0,129,2265},{0,109,532},{0,80,3202},{0,94,6384},{0,77,3861},{17,248,1568},{17,170,5},{23,123,121},{13,112,293},{101,0,5419},{0,129,2265},{0,109,532},{0,80,3202},{207,0,5419},
{0,80,3202},{9,179,145},{9,179,145},{9,179,145},{9,92,145},{0,125,1152},{0,88,157},{0,88,157},{0,53,468},{0,54,1491},{0,50,737},{17,163,0},{17,163,0},{17,163,0},{17,89,0},{61,0,1152},{0,88,157},{0,88,157},{0,53,468},{125,0,1152},{0,53,468},{138,0,1568},{12,174,0},{38,121,0},{0,114,170},{138,0,1568},{254,14,1568},{0,114,170},{0,93,1568},{254,14,1568},{0,93,1568},{8,0,145},
{8,0,145},{8,0,145},{8,0,145},{0,52,0},{0,52,0},{0,52,0},{0,26,0},{0,21,45},{0,21,45},{15,255,1991},{13,189,321},{18,134,687},{10,121,510},{0,231,5419},{0,141,2081},{0,121,324},{0,90,3035},{0,106,6640},{0,87,3833},{26,254,1569},{25,178,5},{31,131,121},{21,120,293},{113,0,5419},{0,141,2081},{0,121,324},{0,90,3035},{231,0,5419},{0,90,3035},{13,195,313},{13,195,313},{13,195,313},
{13,102,313},{0,149,1152},{0,103,80},{0,103,80},{0,62,377},{0,66,1643},{0,57,749},{25,171,0},{25,171,0},{25,171,0},{25,97,0},{73,0,1152},{0,103,80},{0,103,80},{0,62,377},{149,0,1152},{0,62,377},{150,0,1568},{21,181,0},{46,129,0},{0,123,117},{150,0,1568},{254,26,1568},{0,123,117},{0,101,1568},{254,26,1568},{0,101,1568},{12,0,313},{12,0,313},{12,0,313},{12,0,313},{0,76,0},
{0,76,0},{0,76,0},{0,38,0},{0,30,106},{0,30,106},{24,255,2387},{17,199,565},{23,142,1015},{15,129,713},{0,255,5419},{0,156,1924},{0,130,166},{0,99,2857},{0,115,6921},{0,94,3818},{36,255,1579},{33,187,4},{39,139,121},{29,128,293},{125,0,5419},{0,156,1924},{0,130,166},{0,99,2857},{255,0,5419},{0,99,2857},{17,212,545},{17,212,545},{17,212,545},{17,112,545},{0,174,1152},{0,118,29},{0,118,29},
{0,71,296},{0,75,1826},{0,66,787},{33,179,0},{33,179,0},{33,179,0},{33,104,0},{85,0,1152},{0,118,29},{0,118,29},{0,71,296},{174,0,1152},{0,71,296},{162,0,1568},{29,189,0},{54,137,0},{0,133,80},{162,0,1568},{254,38,1568},{0,133,80},{0,109,1568},{254,38,1568},{0,109,1568},{16,0,545},{16,0,545},{16,0,545},{16,0,545},{0,101,0},{0,101,0},{0,101,0},{0,49,0},{0,39,193},
{0,39,193},{30,255,3004},{22,210,924},{28,153,1470},{19,140,1026},{6,255,5520},{0,172,1772},{0,142,57},{0,108,2668},{0,127,7276},{0,103,3836},{46,255,1602},{41,195,3},{48,148,121},{38,137,293},{138,0,5419},{0,172,1772},{0,142,57},{0,108,2668},{254,14,5419},{0,108,2668},{21,231,882},{21,231,882},{21,231,882},{21,124,882},{0,201,1152},{0,132,2},{0,132,2},{0,83,218},{0,88,2034},{0,75,865},{42,188,0},
{42,188,0},{42,188,0},{42,113,0},{98,0,1152},{0,132,2},{0,132,2},{0,83,218},{201,0,1152},{0,83,218},{175,0,1568},{38,198,0},{63,146,0},{0,142,41},{175,0,1568},{254,51,1568},{0,142,41},{0,118,1568},{254,51,1568},{0,118,1568},{21,0,882},{21,0,882},{21,0,882},{21,0,882},{0,128,0},{0,128,0},{0,128,0},{0,63,0},{0,51,320},{0,51,320},{36,255,3708},{27,221,1316},{33,161,1956},
{24,148,1369},{15,255,5777},{0,184,1676},{0,151,19},{0,117,2514},{0,138,7620},{0,112,3881},{55,255,1643},{49,203,3},{56,156,121},{46,145,293},{150,0,5419},{0,184,1676},{0,151,19},{0,117,2514},{254,26,5419},{0,117,2514},{25,247,1250},{25,247,1250},{25,247,1250},{25,134,1250},{0,225,1152},{1,147,3},{1,147,3},{0,90,164},{0,100,2274},{0,84,961},{50,196,0},{50,196,0},{50,196,0},{50,121,0},{110,0,1152},
{5,143,0},{5,143,0},{0,90,164},{225,0,1152},{0,90,164},{187,0,1568},{46,206,0},{71,154,0},{0,151,18},{187,0,1568},{254,63,1568},{0,151,18},{0,126,1568},{254,63,1568},{0,126,1568},{25,0,1250},{25,0,1250},{25,0,1250},{25,0,1250},{0,152,0},{0,152,0},{0,152,0},{0,75,0},{0,60,461},{0,60,461},{43,255,4356},{32,232,1665},{38,169,2370},{29,156,1670},{21,255,6121},{0,196,1616},{3,161,20},
{0,126,2376},{0,150,7804},{0,121,3804},{67,255,1699},{57,211,3},{64,164,121},{54,153,293},{162,0,5419},{0,196,1612},{5,160,17},{0,126,2372},{254,38,5419},{0,126,2372},{30,255,1572},{30,255,1572},{30,255,1572},{30,143,1568},{2,245,1152},{4,159,17},{4,159,17},{0,99,117},{0,109,2403},{0,94,953},{58,204,0},{58,204,0},{58,204,0},{58,129,0},{122,0,1152},{13,151,0},{13,151,0},{0,99,113},{249,0,1152},
{0,99,113},{199,0,1568},{54,214,0},{79,162,0},{0,160,5},{199,0,1568},{254,75,1568},{0,160,5},{0,134,1568},{254,75,1568},{0,134,1568},{30,0,1568},{30,0,1568},{30,0,1568},{30,0,1568},{2,172,0},{2,172,0},{2,172,0},{2,86,0},{0,72,541},{0,72,541},{52,255,4586},{40,240,1665},{47,177,2355},{37,164,1670},{33,255,6289},{7,206,1615},{11,169,20},{1,134,2353},{0,162,7444},{0,130,3321},{76,255,1766},
{65,219,3},{72,172,121},{61,161,302},{174,0,5419},{0,211,1577},{13,168,17},{0,133,2259},{255,49,5419},{0,133,2259},{39,255,1586},{39,255,1586},{39,255,1586},{38,151,1568},{10,253,1152},{12,167,17},{12,167,17},{7,109,115},{0,124,2150},{0,103,659},{66,211,0},{66,211,0},{66,211,0},{66,137,0},{134,0,1152},{21,159,0},{21,159,0},{0,108,72},{255,9,1152},{0,108,72},{211,0,1568},{62,222,0},{86,170,0},
{0,170,0},{211,0,1568},{255,86,1568},{0,170,0},{0,142,1568},{255,86,1568},{0,142,1568},{38,0,1568},{38,0,1568},{38,0,1568},{38,0,1568},{10,180,0},{10,180,0},{10,180,0},{10,93,0},{0,88,373},{0,88,373},{64,255,4866},{49,249,1665},{55,188,2353},{46,173,1670},{43,255,6476},{16,215,1615},{20,178,20},{10,143,2353},{0,178,7036},{0,139,2856},{86,255,1851},{75,228,5},{81,181,121},{70,170,302},{187,0,5419},
{4,222,1568},{22,177,17},{0,145,2124},{254,63,5419},{0,145,2124},{49,255,1612},{49,255,1612},{49,255,1612},{47,160,1568},{21,255,1158},{21,176,17},{21,176,17},{16,118,115},{0,138,1900},{0,115,392},{75,220,0},{75,220,0},{75,220,0},{75,146,0},{147,0,1152},{30,168,0},{30,168,0},{0,120,34},{254,23,1152},{0,120,34},{224,0,1568},{71,231,0},{95,179,0},{7,179,0},{224,0,1568},{254,100,1568},{7,179,0},
{0,151,1568},{254,100,1568},{0,151,1568},{47,0,1568},{47,0,1568},{47,0,1568},{47,0,1568},{19,189,0},{19,189,0},{19,189,0},{19,102,0},{0,103,232},{0,103,232},{73,255,5136},{57,254,1666},{63,196,2353},{54,181,1670},{55,255,6684},{24,223,1615},{28,186,20},{18,151,2353},{0,190,6740},{0,151,2504},{95,255,1954},{83,236,5},{89,189,121},{78,178,302},{199,0,5419},{12,230,1568},{30,185,17},{0,154,2018},{254,75,5419},
{0,154,2018},{58,255,1650},{58,255,1650},{58,255,1650},{55,168,1568},{30,255,1179},{29,184,17},{29,184,17},{24,126,115},{0,150,1708},{0,127,216},{83,228,0},{83,228,0},{83,228,0},{83,154,0},{159,0,1152},{38,176,0},{38,176,0},{0,130,17},{254,35,1152},{0,130,17},{236,0,1568},{78,240,0},{103,187,0},{15,187,0},{236,0,1568},{254,112,1568},{15,187,0},{0,159,1568},{254,112,1568},{0,159,1568},{55,0,1568},
{55,0,1568},{55,0,1568},{55,0,1568},{27,197,0},{27,197,0},{27,197,0},{27,110,0},{0,115,136},{0,115,136},{82,255,5426},{67,255,1701},{71,204,2353},{62,189,1670},{64,255,6905},{32,231,1615},{36,194,20},{26,159,2353},{0,202,6476},{0,160,2211},{107,255,2066},{91,244,5},{97,197,121},{86,186,302},{211,0,5419},{20,238,1568},{38,193,17},{0,160,1922},{255,86,5419},{0,160,1922},{67,255,1700},{67,255,1700},{67,255,1700},
{63,176,1568},{39,255,1218},{37,192,17},{37,192,17},{32,134,115},{0,165,1545},{0,136,90},{91,236,0},{91,236,0},{91,236,0},{91,162,0},{171,0,1152},{46,184,0},{46,184,0},{0,139,4},{255,46,1152},{0,139,4},{248,0,1568},{85,248,0},{111,195,0},{23,195,0},{248,0,1568},{254,124,1568},{23,195,0},{0,167,1568},{254,124,1568},{0,167,1568},{63,0,1568},{63,0,1568},{63,0,1568},{63,0,1568},{35,205,0},
{35,205,0},{35,205,0},{35,118,0},{0,129,65},{0,129,65},{92,255,5700},{76,255,1798},{79,212,2353},{70,197,1670},{73,255,7152},{40,239,1615},{44,202,20},{34,167,2353},{0,215,6213},{0,169,1980},{116,255,2195},{99,252,5},{104,206,115},{94,194,302},{223,0,5419},{28,246,1568},{46,201,17},{0,169,1836},{255,98,5419},{0,169,1836},{76,255,1762},{76,255,1762},{76,255,1762},{71,184,1568},{49,255,1260},{45,200,17},{45,200,17},
{40,142,115},{0,178,1395},{0,145,24},{99,244,0},{99,244,0},{99,244,0},{99,170,0},{183,0,1152},{54,192,0},{54,192,0},{0,147,0},{255,58,1152},{0,147,0},{255,10,1568},{94,254,1},{119,203,0},{31,203,0},{255,10,1568},{255,135,1568},{31,203,0},{0,175,1568},{255,135,1568},{0,175,1568},{71,0,1568},{71,0,1568},{71,0,1568},{71,0,1568},{43,213,0},{43,213,0},{43,213,0},{43,126,0},{0,144,20},
{0,144,20},{101,255,6066},{86,255,1980},{88,221,2353},{79,206,1670},{86,255,7408},{49,248,1615},{53,211,20},{43,176,2353},{0,230,5988},{0,179,1798},{129,255,2347},{110,255,24},{113,215,115},{103,203,302},{236,0,5419},{37,255,1568},{55,210,17},{0,179,1762},{254,112,5419},{0,179,1762},{86,255,1836},{86,255,1836},{86,255,1836},{80,193,1568},{61,255,1331},{54,209,17},{54,209,17},{49,151,115},{0,193,1281},{3,156,5},{108,253,0},
{108,253,0},{108,253,0},{108,179,0},{196,0,1152},{63,201,0},{63,201,0},{9,156,0},{254,72,1152},{9,156,0},{255,37,1568},{110,255,20},{128,212,0},{40,212,0},{255,37,1568},{254,149,1568},{40,212,0},{0,184,1568},{254,149,1568},{0,184,1568},{80,0,1568},{80,0,1568},{80,0,1568},{80,0,1568},{52,222,0},{52,222,0},{52,222,0},{52,135,0},{0,159,1},{0,159,1},{110,255,6416},{95,255,2211},{96,229,2353},
{86,213,1674},{95,255,7689},{58,254,1616},{61,219,20},{51,184,2353},{0,242,5820},{0,188,1701},{138,255,2502},{119,255,90},{121,223,115},{111,211,302},{248,0,5419},{52,255,1595},{63,218,17},{0,188,1700},{254,124,5419},{0,188,1700},{95,255,1922},{95,255,1922},{95,255,1922},{88,201,1568},{70,255,1414},{62,217,17},{62,217,17},{58,158,121},{0,205,1209},{11,164,5},{116,255,4},{116,255,4},{116,255,4},{116,187,0},{208,0,1152},
{70,209,0},{70,209,0},{17,164,0},{254,84,1152},{17,164,0},{255,61,1568},{125,255,65},{136,220,0},{48,220,0},{255,61,1568},{254,161,1568},{48,220,0},{0,192,1568},{254,161,1568},{0,192,1568},{88,0,1568},{88,0,1568},{88,0,1568},{88,0,1568},{60,230,0},{60,230,0},{60,230,0},{60,143,0},{7,169,0},{7,169,0},{119,255,6786},{104,255,2504},{104,237,2353},{94,222,1676},{107,255,7985},{68,255,1665},{69,227,20},
{59,192,2353},{0,254,5684},{0,197,1666},{147,255,2675},{128,255,216},{129,231,115},{119,219,302},{255,10,5419},{67,255,1665},{71,226,17},{0,197,1650},{255,135,5419},{0,197,1650},{101,255,2018},{101,255,2018},{101,255,2018},{96,209,1568},{82,255,1510},{70,224,17},{70,224,17},{66,166,121},{0,218,1163},{19,172,5},{125,255,17},{125,255,17},{125,255,17},{124,195,0},{220,0,1152},{78,217,0},{78,217,0},{25,172,0},{255,95,1152},
{25,172,0},{255,86,1568},{140,255,136},{144,228,0},{56,228,0},{255,86,1568},{255,172,1568},{56,228,0},{0,200,1568},{255,172,1568},{0,200,1568},{96,0,1568},{96,0,1568},{96,0,1568},{96,0,1568},{68,238,0},{68,238,0},{68,238,0},{68,151,0},{15,177,0},{15,177,0},{129,255,7124},{116,255,2856},{112,245,2353},{102,230,1676},{116,255,8300},{79,255,1802},{77,235,20},{67,200,2353},{7,255,5788},{5,206,1665},{156,255,2866},
{140,255,392},{137,239,115},{127,227,302},{255,34,5419},{82,255,1779},{79,234,17},{0,206,1612},{255,147,5419},{0,206,1612},{110,255,2124},{110,255,2124},{110,255,2124},{104,217,1568},{92,255,1608},{78,232,17},{78,232,17},{74,174,121},{1,231,1152},{27,180,5},{135,255,34},{135,255,34},{135,255,34},{132,203,0},{232,0,1152},{86,225,0},{86,225,0},{33,180,0},{255,107,1152},{33,180,0},{255,110,1568},{152,255,232},{152,236,0},
{64,236,0},{255,110,1568},{255,184,1568},{64,236,0},{0,208,1568},{255,184,1568},{0,208,1568},{104,0,1568},{104,0,1568},{104,0,1568},{104,0,1568},{76,246,0},{76,246,0},{76,246,0},{76,159,0},{24,184,0},{24,184,0},{138,255,7586},{125,255,3321},{121,254,2353},{111,239,1676},{129,255,8636},{92,255,2092},{86,244,20},{78,208,2355},{28,255,6049},{14,215,1665},{168,255,3097},{152,255,659},{146,248,115},{136,236,302},{255,61,5419},
{101,255,1977},{88,243,17},{0,216,1586},{254,161,5419},{0,216,1586},{122,255,2259},{122,255,2259},{122,255,2259},{113,226,1568},{101,255,1746},{87,241,17},{87,241,17},{83,183,121},{10,240,1152},{36,190,3},{147,255,72},{147,255,72},{147,255,72},{141,212,0},{245,0,1152},{95,234,0},{95,234,0},{42,189,0},{254,121,1152},{42,189,0},{255,137,1568},{167,255,373},{161,245,0},{73,245,0},{255,137,1568},{254,198,1568},{73,245,0},
{0,217,1568},{254,198,1568},{0,217,1568},{113,0,1568},{113,0,1568},{113,0,1568},{113,0,1568},{85,254,0},{85,254,0},{85,254,0},{85,168,0},{33,193,0},{33,193,0},{147,255,8016},{134,255,3804},{129,255,2376},{119,247,1676},{138,255,8985},{104,255,2436},{94,252,20},{85,216,2370},{40,255,6353},{22,223,1665},{178,255,3291},{161,255,953},{156,255,117},{146,243,305},{255,86,5419},{119,255,2185},{96,251,17},{0,225,1572},{255,172,5419},
{0,225,1572},{129,255,2372},{129,255,2372},{129,255,2372},{121,233,1568},{113,255,1890},{95,249,17},{95,249,17},{91,191,121},{18,248,1152},{44,198,3},{156,255,113},{156,255,113},{156,255,113},{149,220,0},{255,4,1152},{103,242,0},{103,242,0},{49,197,0},{255,132,1152},{49,197,0},{255,161,1568},{183,255,541},{169,253,0},{80,253,0},{255,161,1568},{254,210,1568},{80,253,0},{0,225,1568},{254,210,1568},{0,225,1568},{121,0,1568},
{121,0,1568},{121,0,1568},{121,0,1568},{94,254,5},{94,254,5},{94,254,5},{93,176,0},{41,201,0},{41,201,0},{156,255,7638},{143,255,3881},{138,255,2514},{128,250,1620},{147,255,8460},{113,255,2285},{104,255,19},{94,222,1956},{58,255,5932},{34,228,1316},{184,255,2947},{171,255,961},{165,255,164},{152,246,206},{255,104,4803},{131,255,1925},{108,254,3},{6,230,1250},{255,181,4803},{6,230,1250},{138,255,2514},{138,255,2514},{138,255,2514},
{129,241,1568},{122,255,2043},{104,255,19},{104,255,19},{99,199,121},{28,255,1153},{52,206,3},{165,255,164},{165,255,164},{165,255,164},{157,228,0},{255,28,1152},{111,250,0},{111,250,0},{57,205,0},{255,144,1152},{57,205,0},{255,177,1250},{195,255,461},{180,255,0},{101,255,0},{255,177,1250},{254,217,1250},{101,255,0},{0,230,1250},{254,217,1250},{0,230,1250},{129,0,1568},{129,0,1568},{129,0,1568},{129,0,1568},{104,255,18},
{104,255,18},{104,255,18},{101,184,0},{49,209,0},{49,209,0},{165,255,7060},{152,255,3836},{147,255,2668},{137,253,1576},{156,255,7717},{122,255,2020},{113,255,57},{102,227,1470},{73,255,5307},{44,232,924},{193,255,2466},{180,255,865},{172,255,218},{162,250,98},{255,119,4056},{143,255,1557},{122,255,2},{22,234,882},{254,189,4056},{22,234,882},{147,255,2668},{147,255,2668},{147,255,2668},{137,249,1568},{132,255,2193},{113,255,57},{113,255,57},
{107,207,121},{40,255,1185},{60,214,3},{172,255,218},{172,255,218},{172,255,218},{165,236,0},{255,52,1152},{122,255,2},{122,255,2},{65,213,0},{255,156,1152},{65,213,0},{255,189,882},{204,255,320},{192,255,0},{125,255,0},{255,189,882},{254,223,882},{125,255,0},{0,234,882},{254,223,882},{0,234,882},{137,0,1568},{137,0,1568},{137,0,1568},{137,0,1568},{113,255,41},{113,255,41},{113,255,41},{109,192,0},{57,217,0},
{57,217,0},{172,255,6429},{161,255,3818},{156,255,2857},{146,255,1572},{165,255,6979},{134,255,1813},{125,255,166},{113,232,1015},{82,255,4731},{56,238,565},{199,255,2010},{189,255,787},{184,255,296},{173,252,26},{255,137,3318},{155,255,1221},{137,255,29},{41,238,545},{254,198,3318},{41,238,545},{156,255,2857},{156,255,2857},{156,255,2857},{146,255,1572},{141,255,2403},{125,255,166},{125,255,166},{116,216,121},{61,255,1273},{68,222,4},{184,255,296},
{184,255,296},{184,255,296},{174,245,0},{255,79,1152},{137,255,29},{137,255,29},{74,222,0},{253,170,1152},{74,222,0},{255,201,545},{216,255,193},{205,255,0},{152,255,0},{255,201,545},{254,229,545},{152,255,0},{0,238,545},{254,229,545},{0,238,545},{146,0,1568},{146,0,1568},{146,0,1568},{146,0,1568},{122,255,80},{122,255,80},{122,255,80},{118,201,0},{66,226,0},{66,226,0},{178,255,5997},{168,255,3833},{165,255,3035},
{155,255,1619},{172,255,6365},{143,255,1710},{134,255,324},{121,237,687},{101,255,4330},{66,242,321},{208,255,1673},{198,255,749},{193,255,377},{182,255,1},{255,152,2753},{167,255,989},{152,255,80},{57,242,313},{255,205,2753},{57,242,313},{165,255,3035},{165,255,3035},{165,255,3035},{155,255,1619},{153,255,2603},{134,255,324},{134,255,324},{124,224,121},{76,255,1395},{76,230,5},{193,255,377},{193,255,377},{193,255,377},{182,253,0},{255,104,1152},
{152,255,80},{152,255,80},{82,230,0},{255,181,1152},{82,230,0},{255,213,313},{225,255,106},{217,255,0},{177,255,0},{255,213,313},{254,235,313},{177,255,0},{0,242,313},{254,235,313},{0,242,313},{154,0,1568},{154,0,1568},{154,0,1568},{154,0,1568},{132,255,117},{132,255,117},{132,255,117},{126,209,0},{74,234,0},{74,234,0},{187,255,5627},{178,255,3861},{175,255,3202},{164,255,1720},{178,255,5889},{152,255,1685},{146,255,532},
{129,242,435},{116,255,3993},{79,246,146},{215,255,1382},{205,255,737},{202,255,468},{192,255,13},{255,171,2273},{180,255,850},{167,255,157},{74,246,145},{254,214,2273},{74,246,145},{175,255,3202},{175,255,3202},{175,255,3202},{164,255,1720},{162,255,2818},{146,255,532},{146,255,532},{132,232,121},{92,255,1584},{84,238,5},{202,255,468},{202,255,468},{202,255,468},{192,255,13},{255,128,1152},{167,255,157},{167,255,157},{90,238,0},{255,193,1152},
{90,238,0},{255,225,145},{234,255,45},{229,255,0},{201,255,0},{255,225,145},{254,241,145},{201,255,0},{0,246,145},{254,241,145},{0,246,145},{162,0,1568},{162,0,1568},{162,0,1568},{162,0,1568},{141,255,170},{141,255,170},{141,255,170},{134,217,0},{80,243,0},{80,243,0},{193,255,5331},{187,255,3926},{184,255,3404},{174,255,1889},{187,255,5490},{161,255,1738},{155,255,798},{139,246,259},{128,255,3745},{88,251,41},{221,255,1182},
{215,255,747},{211,255,569},{201,255,73},{255,186,1878},{192,255,746},{180,255,274},{90,250,41},{255,221,1878},{90,250,41},{184,255,3404},{184,255,3404},{184,255,3404},{174,255,1889},{172,255,3020},{155,255,798},{155,255,798},{140,240,121},{107,255,1798},{92,246,5},{211,255,569},{211,255,569},{211,255,569},{201,255,73},{255,152,1152},{180,255,274},{180,255,274},{98,246,0},{255,205,1152},{98,246,0},{255,237,41},{243,255,10},{241,255,0},
{225,255,0},{255,237,41},{254,247,41},{225,255,0},{0,250,41},{254,247,41},{0,250,41},{170,0,1568},{170,0,1568},{170,0,1568},{170,0,1568},{150,255,233},{150,255,233},{150,255,233},{142,225,0},{88,251,0},{88,251,0},{202,255,5076},{196,255,4028},{193,255,3641},{183,255,2129},{196,255,5148},{174,255,1917},{167,255,1161},{147,251,148},{143,255,3577},{101,255,5},{230,255,1041},{224,255,789},{221,255,680},{210,255,205},{255,204,1536},
{207,255,706},{198,255,424},{107,255,0},{255,230,1536},{107,255,0},{193,255,3641},{193,255,3641},{193,255,3641},{183,255,2129},{184,255,3299},{167,255,1161},{167,255,1161},{148,249,126},{125,255,2089},{101,255,5},{221,255,680},{221,255,680},{221,255,680},{210,255,205},{255,180,1152},{198,255,424},{198,255,424},{107,255,0},{255,218,1152},{107,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},
{0,255,0},{255,254,0},{0,255,0},{179,0,1568},{179,0,1568},{179,0,1568},{179,0,1568},{162,255,317},{162,255,317},{162,255,317},{151,234,0},{101,255,5},{101,255,5},{208,255,4372},{202,255,3532},{199,255,3225},{189,255,2017},{202,255,4324},{180,255,1693},{177,255,1093},{157,252,58},{155,255,2953},{116,255,34},{233,255,716},{230,255,545},{227,255,468},{219,255,137},{255,213,1067},{213,255,482},{207,255,289},{131,255,0},{254,235,1067},
{131,255,0},{199,255,3225},{199,255,3225},{199,255,3225},{189,255,2017},{190,255,2819},{177,255,1093},{177,255,1093},{157,252,49},{137,255,1737},{116,255,34},{227,255,468},{227,255,468},{227,255,468},{219,255,137},{255,192,800},{207,255,289},{207,255,289},{131,255,0},{255,224,800},{131,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{187,0,1568},
{187,0,1568},{187,0,1568},{187,0,1568},{172,255,394},{172,255,394},{172,255,394},{159,242,0},{116,255,34},{116,255,34},{215,255,3720},{208,255,3092},{205,255,2857},{198,255,1910},{208,255,3604},{189,255,1510},{183,255,1041},{165,254,10},{164,255,2420},{131,255,89},{239,255,456},{233,255,345},{233,255,296},{225,255,85},{255,219,683},{222,255,300},{216,255,180},{155,255,0},{254,238,683},{155,255,0},{205,255,2857},{205,255,2857},{205,255,2857},
{198,255,1910},{196,255,2411},{183,255,1041},{183,255,1041},{167,253,8},{149,255,1449},{131,255,89},{233,255,296},{233,255,296},{233,255,296},{225,255,85},{255,204,512},{216,255,180},{216,255,180},{155,255,0},{255,230,512},{155,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{195,0,1568},{195,0,1568},{195,0,1568},{195,0,1568},{178,255,482},
{178,255,482},{178,255,482},{167,250,0},{131,255,89},{131,255,89},{218,255,3170},{215,255,2701},{215,255,2532},{207,255,1825},{215,255,2956},{198,255,1373},{192,255,1013},{175,255,4},{167,255,2025},{143,255,169},{242,255,249},{239,255,189},{239,255,164},{234,255,45},{255,228,384},{231,255,162},{225,255,97},{180,255,0},{255,242,384},{180,255,0},{215,255,2532},{215,255,2532},{215,255,2532},{207,255,1825},{205,255,2070},{192,255,1013},{192,255,1013},
{175,255,4},{161,255,1225},{143,255,169},{239,255,164},{239,255,164},{239,255,164},{234,255,45},{255,216,288},{225,255,97},{225,255,97},{180,255,0},{255,236,288},{180,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{203,0,1568},{203,0,1568},{203,0,1568},{203,0,1568},{187,255,585},{187,255,585},{187,255,585},{175,255,4},{143,255,169},
{143,255,169},{0,210,2665},{0,147,274},{0,106,1},{0,90,985},{0,140,5885},{0,94,3649},{0,81,1742},{0,56,4398},{0,63,6341},{0,56,4722},{0,210,2665},{0,147,274},{0,106,1},{0,90,985},{69,0,5885},{0,94,3649},{0,81,1742},{0,56,4398},{140,0,5885},{0,56,4398},{0,101,0},{0,101,0},{0,101,0},{0,49,0},{0,49,545},{0,39,193},{0,39,193},{0,22,317},{0,21,593},{0,22,366},{0,101,0},
{0,101,0},{0,101,0},{0,49,0},{24,0,545},{0,39,193},{0,39,193},{0,22,317},{49,0,545},{0,22,317},{103,0,2665},{0,147,274},{0,106,1},{0,90,985},{103,0,2665},{210,0,2665},{0,90,985},{0,69,2665},{210,0,2665},{0,69,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,234,2665},{0,162,169},{1,114,11},
{0,99,850},{0,158,6669},{0,103,3898},{0,91,1770},{0,62,4826},{0,72,7238},{0,62,5226},{0,234,2665},{0,162,169},{2,115,9},{0,99,850},{78,0,6669},{0,103,3898},{0,91,1770},{0,62,4826},{158,0,6669},{0,62,4826},{0,125,0},{0,125,0},{0,125,0},{0,61,0},{0,61,841},{0,51,305},{0,51,305},{0,28,493},{0,27,917},{0,28,574},{0,125,0},{0,125,0},{0,125,0},{0,61,0},{30,0,841},
{0,51,305},{0,51,305},{0,28,493},{61,0,841},{0,28,493},{115,0,2665},{0,162,169},{6,114,0},{0,99,850},{115,0,2665},{234,0,2665},{0,99,850},{0,77,2665},{234,0,2665},{0,77,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,255,2669},{0,175,80},{2,124,61},{0,108,725},{0,174,7538},{0,115,4178},{0,100,1832},
{0,71,5294},{0,78,8238},{0,68,5786},{2,254,2669},{0,175,80},{4,123,53},{0,108,725},{85,0,7538},{0,115,4178},{0,100,1832},{0,71,5294},{174,0,7538},{0,71,5294},{0,149,0},{0,149,0},{0,149,0},{0,73,0},{0,73,1201},{0,60,442},{0,60,442},{0,34,709},{0,33,1313},{0,31,824},{0,149,0},{0,149,0},{0,149,0},{0,73,0},{36,0,1201},{0,60,442},{0,60,442},{0,34,709},{73,0,1201},
{0,34,709},{127,0,2665},{0,175,80},{14,122,0},{0,108,725},{127,0,2665},{254,2,2665},{0,108,725},{0,85,2665},{254,2,2665},{0,85,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{3,255,2795},{0,190,29},{3,134,155},{0,117,610},{0,189,8493},{0,124,4485},{0,109,1922},{0,77,5810},{0,88,9310},{0,74,6402},{6,255,2761},
{0,190,29},{6,134,133},{0,117,610},{92,0,8493},{0,124,4485},{0,109,1922},{0,77,5810},{189,0,8493},{0,77,5810},{0,174,0},{0,174,0},{0,174,0},{0,85,0},{0,85,1625},{0,69,605},{0,69,605},{0,40,965},{0,39,1781},{0,37,1120},{0,174,0},{0,174,0},{0,174,0},{0,85,0},{42,0,1625},{0,69,605},{0,69,605},{0,40,965},{85,0,1625},{0,40,965},{138,0,2665},{0,190,29},{22,130,0},
{0,117,610},{138,0,2665},{254,14,2665},{0,117,610},{0,93,2665},{254,14,2665},{0,93,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{9,255,3139},{0,205,2},{5,145,311},{0,126,493},{0,207,9669},{0,135,4865},{0,118,2054},{0,83,6450},{0,94,10654},{0,80,7162},{12,255,3029},{0,205,2},{9,143,266},{0,126,493},{101,0,9669},
{0,135,4865},{0,118,2054},{0,83,6450},{207,0,9669},{0,83,6450},{0,201,0},{0,201,0},{0,201,0},{0,98,0},{0,101,2178},{0,81,820},{0,81,820},{0,47,1322},{0,45,2392},{0,40,1521},{0,201,0},{0,201,0},{0,201,0},{0,98,0},{49,0,2178},{0,81,820},{0,81,820},{0,47,1322},{101,0,2178},{0,47,1322},{152,0,2665},{0,205,2},{30,139,0},{0,126,493},{152,0,2665},{255,27,2665},{0,126,493},
{0,102,2665},{255,27,2665},{0,102,2665},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{15,255,3483},{4,217,32},{10,153,429},{2,135,473},{0,231,9669},{0,150,4526},{0,127,1610},{0,93,6193},{0,106,10910},{0,90,7050},{24,255,3141},{8,213,2},{17,151,266},{2,135,469},{113,0,9669},{0,150,4526},{0,127,1610},{0,93,6193},{231,0,9669},
{0,93,6193},{4,217,32},{4,217,32},{4,217,32},{4,108,32},{0,125,2178},{0,94,605},{0,94,605},{0,56,1165},{0,54,2517},{0,50,1457},{8,209,0},{8,209,0},{8,209,0},{8,106,0},{61,0,2178},{0,94,605},{0,94,605},{0,56,1165},{125,0,2178},{0,56,1165},{164,0,2665},{5,216,0},{38,147,0},{0,136,410},{164,0,2665},{255,39,2665},{0,136,410},{0,110,2665},{255,39,2665},{0,110,2665},{4,0,32},
{4,0,32},{4,0,32},{4,0,32},{0,25,0},{0,25,0},{0,25,0},{0,12,0},{0,9,8},{0,9,8},{21,255,3971},{8,227,132},{15,161,623},{5,144,523},{0,255,9669},{0,162,4214},{0,139,1218},{0,102,5913},{0,118,11198},{0,96,6942},{33,255,3266},{16,222,1},{25,159,266},{10,143,469},{125,0,9669},{0,162,4214},{0,139,1218},{0,102,5913},{255,0,9669},{0,102,5913},{8,233,128},{8,233,128},{8,233,128},
{8,118,128},{0,149,2178},{0,109,442},{0,109,442},{0,65,1018},{0,66,2669},{0,59,1419},{16,217,0},{16,217,0},{16,217,0},{16,114,0},{73,0,2178},{0,109,442},{0,109,442},{0,65,1018},{149,0,2178},{0,65,1018},{175,0,2665},{14,223,0},{46,155,0},{0,145,325},{175,0,2665},{254,51,2665},{0,145,325},{0,118,2665},{254,51,2665},{0,118,2665},{8,0,128},{8,0,128},{8,0,128},{8,0,128},{0,49,0},
{0,49,0},{0,49,0},{0,24,0},{0,21,40},{0,21,40},{27,255,4603},{13,238,300},{19,171,891},{10,152,642},{6,255,9761},{0,175,3898},{0,148,882},{0,111,5645},{0,127,11511},{0,105,6861},{43,255,3390},{24,230,1},{33,167,266},{18,151,469},{137,0,9669},{0,175,3898},{0,148,882},{0,111,5645},{255,12,9669},{0,111,5645},{12,249,288},{12,249,288},{12,249,288},{12,128,288},{0,174,2178},{0,124,305},{0,124,305},
{0,74,881},{0,75,2852},{0,68,1409},{24,225,0},{24,225,0},{24,225,0},{24,122,0},{85,0,2178},{0,124,305},{0,124,305},{0,74,881},{174,0,2178},{0,74,881},{187,0,2665},{22,231,0},{54,163,0},{0,154,250},{187,0,2665},{254,63,2665},{0,154,250},{0,126,2665},{254,63,2665},{0,126,2665},{12,0,288},{12,0,288},{12,0,288},{12,0,288},{0,73,0},{0,73,0},{0,73,0},{0,36,0},{0,30,97},
{0,30,97},{36,255,5482},{17,251,574},{24,179,1282},{14,162,853},{15,255,10055},{0,190,3618},{0,160,569},{0,120,5354},{0,138,11902},{0,114,6807},{55,255,3569},{33,239,1},{42,176,266},{27,160,469},{150,0,9669},{0,190,3618},{0,160,569},{0,120,5354},{254,26,9669},{0,120,5354},{18,255,558},{18,255,558},{18,255,558},{16,139,545},{0,201,2178},{0,138,180},{0,138,180},{0,83,740},{0,88,3060},{0,78,1427},{33,233,0},
{33,233,0},{33,233,0},{33,131,0},{98,0,2178},{0,138,180},{0,138,180},{0,83,740},{201,0,2178},{0,83,740},{201,0,2665},{31,240,0},{63,172,0},{0,166,180},{201,0,2665},{255,76,2665},{0,166,180},{0,135,2665},{255,76,2665},{0,135,2665},{16,0,545},{16,0,545},{16,0,545},{16,0,545},{0,101,0},{0,101,0},{0,101,0},{0,49,0},{0,39,193},{0,39,193},{43,255,6378},{24,255,915},{29,187,1710},
{18,172,1113},{21,255,10495},{0,205,3401},{0,169,353},{0,126,5126},{0,150,12278},{0,123,6786},{64,255,3738},{41,246,2},{50,183,259},{35,168,469},{162,0,9669},{0,205,3401},{0,169,353},{0,126,5126},{254,38,9669},{0,126,5126},{24,255,914},{24,255,914},{24,255,914},{20,149,841},{0,225,2178},{0,153,97},{0,153,97},{0,93,637},{0,100,3300},{0,88,1469},{41,241,0},{41,241,0},{41,241,0},{41,139,0},{110,0,2178},
{0,153,97},{0,153,97},{0,93,637},{225,0,2178},{0,93,637},{213,0,2665},{38,249,0},{71,180,0},{0,173,130},{213,0,2665},{254,88,2665},{0,173,130},{0,143,2665},{254,88,2665},{0,143,2665},{20,0,841},{20,0,841},{20,0,841},{20,0,841},{0,125,0},{0,125,0},{0,125,0},{0,61,0},{0,51,305},{0,51,305},{49,255,7446},{30,255,1431},{33,197,2210},{22,179,1438},{30,255,11102},{0,218,3189},{0,182,185},
{0,136,4909},{0,162,12686},{0,130,6797},{73,255,3925},{49,254,2},{57,193,258},{43,176,469},{174,0,9669},{0,218,3189},{0,182,185},{0,136,4909},{255,49,9669},{0,136,4909},{27,255,1382},{27,255,1382},{27,255,1382},{24,159,1201},{0,249,2178},{0,168,40},{0,168,40},{0,102,530},{0,109,3565},{0,94,1537},{49,249,0},{49,249,0},{49,249,0},{49,147,0},{122,0,2178},{0,168,40},{0,168,40},{0,102,530},{249,0,2178},
{0,102,530},{224,0,2665},{46,255,1},{79,188,0},{0,182,85},{224,0,2665},{254,100,2665},{0,182,85},{0,151,2665},{254,100,2665},{0,151,2665},{24,0,1201},{24,0,1201},{24,0,1201},{24,0,1201},{0,149,0},{0,149,0},{0,149,0},{0,73,0},{0,60,442},{0,60,442},{55,255,8658},{36,255,2131},{38,205,2786},{27,188,1837},{36,255,11866},{0,230,3029},{0,191,75},{0,145,4685},{0,172,13066},{0,139,6826},{86,255,4118},
{58,255,26},{65,201,258},{51,184,469},{186,0,9669},{0,230,3029},{0,191,75},{0,145,4685},{255,61,9669},{0,145,4685},{33,255,1954},{33,255,1954},{33,255,1954},{28,169,1625},{3,255,2219},{0,181,5},{0,181,5},{0,111,433},{0,121,3861},{0,103,1633},{57,254,1},{57,254,1},{57,254,1},{57,155,0},{134,0,2178},{0,181,5},{0,181,5},{0,111,433},{255,9,2178},{0,111,433},{236,0,2665},{61,255,20},{87,196,0},
{0,191,50},{236,0,2665},{254,112,2665},{0,191,50},{0,159,2665},{254,112,2665},{0,159,2665},{28,0,1625},{28,0,1625},{28,0,1625},{28,0,1625},{0,174,0},{0,174,0},{0,174,0},{0,85,0},{0,69,605},{0,69,605},{61,255,10195},{43,255,3100},{43,216,3523},{31,198,2356},{43,255,12883},{0,245,2885},{0,203,20},{0,157,4450},{0,184,13589},{0,148,6898},{95,255,4346},{70,255,117},{74,210,258},{60,193,469},{199,0,9669},
{0,245,2885},{0,203,20},{0,157,4450},{254,75,9669},{0,157,4450},{39,255,2734},{39,255,2734},{39,255,2734},{33,180,2178},{12,255,2420},{1,196,2},{1,196,2},{0,123,337},{0,132,4227},{0,112,1777},{67,255,10},{67,255,10},{67,255,10},{66,164,0},{147,0,2178},{4,194,0},{4,194,0},{0,123,337},{254,23,2178},{0,123,337},{250,0,2665},{76,255,73},{96,205,0},{0,203,20},{250,0,2665},{255,125,2665},{0,203,20},
{0,168,2665},{255,125,2665},{0,168,2665},{33,0,2178},{33,0,2178},{33,0,2178},{33,0,2178},{0,201,0},{0,201,0},{0,201,0},{0,98,0},{0,81,820},{0,81,820},{67,255,11582},{49,255,4083},{48,224,4162},{36,206,2818},{49,255,13898},{1,255,2805},{2,212,20},{0,163,4255},{0,196,13958},{0,157,6886},{104,255,4577},{79,255,259},{82,218,258},{68,201,469},{211,0,9669},{1,255,2805},{4,211,17},{0,163,4254},{255,86,9669},
{0,163,4254},{46,255,3434},{46,255,3434},{46,255,3434},{37,190,2665},{18,255,2709},{3,210,17},{3,210,17},{0,130,270},{0,141,4491},{0,121,1854},{76,255,29},{76,255,29},{76,255,29},{74,172,0},{159,0,2178},{12,202,0},{12,202,0},{0,130,269},{254,35,2178},{0,130,269},{255,13,2665},{92,255,157},{104,213,0},{0,212,5},{255,13,2665},{254,137,2665},{0,212,5},{0,176,2665},{254,137,2665},{0,176,2665},{37,0,2665},
{37,0,2665},{37,0,2665},{37,0,2665},{1,223,0},{1,223,0},{1,223,0},{1,110,0},{0,91,953},{0,91,953},{79,255,12086},{58,255,4502},{56,232,4162},{44,214,2818},{61,255,14298},{10,255,2910},{10,220,20},{0,173,4166},{0,208,13470},{0,166,6215},{113,255,4826},{89,255,465},{90,226,258},{78,208,474},{223,0,9669},{10,255,2909},{12,219,17},{0,173,4085},{255,98,9669},{0,173,4085},{55,255,3574},{55,255,3574},{55,255,3574},
{46,197,2665},{27,255,2840},{11,218,17},{11,218,17},{4,140,258},{0,156,4142},{0,133,1430},{86,255,52},{86,255,52},{86,255,52},{82,180,0},{171,0,2178},{20,210,0},{20,210,0},{0,139,202},{255,46,2178},{0,139,202},{255,37,2665},{107,255,260},{112,221,0},{0,220,1},{255,37,2665},{254,149,2665},{0,220,1},{0,184,2665},{254,149,2665},{0,184,2665},{45,0,2665},{45,0,2665},{45,0,2665},{45,0,2665},{9,231,0},
{9,231,0},{9,231,0},{9,118,0},{0,103,745},{0,103,745},{86,255,12542},{67,255,4983},{64,240,4162},{52,222,2818},{70,255,14719},{22,255,3118},{18,228,20},{5,181,4162},{0,221,12955},{0,176,5593},{125,255,5090},{101,255,713},{98,234,258},{84,218,481},{235,0,9669},{28,255,3073},{20,227,17},{0,182,3909},{255,110,9669},{0,182,3909},{64,255,3726},{64,255,3726},{64,255,3726},{54,205,2665},{36,255,2989},{19,226,17},{19,226,17},
{12,148,258},{0,172,3797},{0,142,1062},{95,255,89},{95,255,89},{95,255,89},{90,188,0},{183,0,2178},{28,218,0},{28,218,0},{0,148,145},{255,58,2178},{0,148,145},{255,61,2665},{119,255,388},{120,229,0},{5,229,0},{255,61,2665},{254,161,2665},{5,229,0},{0,192,2665},{254,161,2665},{0,192,2665},{53,0,2665},{53,0,2665},{53,0,2665},{53,0,2665},{17,239,0},{17,239,0},{17,239,0},{17,126,0},{0,118,562},
{0,118,562},{98,255,13154},{79,255,5593},{73,249,4162},{61,231,2818},{86,255,15194},{34,255,3462},{27,237,20},{14,190,4162},{0,236,12478},{0,188,4983},{135,255,5365},{113,255,1062},{107,243,258},{93,227,481},{248,0,9669},{40,255,3330},{29,236,17},{0,191,3726},{254,124,9669},{0,191,3726},{73,255,3909},{73,255,3909},{73,255,3909},{63,214,2665},{46,255,3156},{28,235,17},{28,235,17},{21,157,258},{0,184,3462},{0,154,713},{107,255,145},
{107,255,145},{107,255,145},{99,197,0},{196,0,2178},{37,227,0},{37,227,0},{0,160,89},{254,72,2178},{0,160,89},{255,89,2665},{137,255,562},{129,238,0},{14,238,0},{255,89,2665},{254,174,2665},{14,238,0},{0,201,2665},{254,174,2665},{0,201,2665},{62,0,2665},{62,0,2665},{62,0,2665},{62,0,2665},{26,248,0},{26,248,0},{26,248,0},{26,135,0},{0,135,388},{0,135,388},{107,255,13718},{89,255,6215},{82,255,4166},
{69,239,2818},{92,255,15614},{46,255,3885},{35,245,20},{22,198,4162},{0,248,12086},{0,197,4502},{144,255,5658},{122,255,1430},{115,251,258},{101,235,481},{255,10,9669},{61,255,3601},{37,244,17},{0,200,3574},{255,135,9669},{0,200,3574},{82,255,4085},{82,255,4085},{82,255,4085},{71,222,2665},{58,255,3332},{36,242,17},{36,242,17},{29,165,258},{0,196,3206},{0,163,465},{116,255,202},{116,255,202},{116,255,202},{107,205,0},{208,0,2178},
{44,235,0},{44,235,0},{0,169,52},{254,84,2178},{0,169,52},{255,113,2665},{152,255,745},{137,246,0},{22,246,0},{255,113,2665},{254,186,2665},{22,246,0},{0,209,2665},{254,186,2665},{0,209,2665},{70,0,2665},{70,0,2665},{70,0,2665},{70,0,2665},{34,253,1},{34,253,1},{34,253,1},{34,143,0},{0,147,260},{0,147,260},{116,255,14302},{98,255,6886},{89,255,4255},{77,247,2818},{104,255,16094},{55,255,4382},{43,253,20},
{30,206,4162},{0,254,11806},{0,206,4083},{153,255,5969},{134,255,1854},{125,255,270},{109,243,481},{255,34,9669},{76,255,3905},{45,252,17},{0,209,3434},{255,147,9669},{0,209,3434},{89,255,4254},{89,255,4254},{89,255,4254},{79,230,2665},{67,255,3525},{44,250,17},{44,250,17},{37,173,258},{0,211,2979},{0,176,259},{125,255,269},{125,255,269},{125,255,269},{115,213,0},{220,0,2178},{52,243,0},{52,243,0},{0,179,29},{255,95,2178},
{0,179,29},{255,137,2665},{164,255,953},{145,254,0},{30,254,0},{255,137,2665},{254,198,2665},{30,254,0},{0,217,2665},{254,198,2665},{0,217,2665},{78,0,2665},{78,0,2665},{78,0,2665},{78,0,2665},{43,255,5},{43,255,5},{43,255,5},{42,150,0},{0,162,157},{0,162,157},{122,255,13635},{107,255,6898},{98,255,4450},{86,250,2739},{110,255,15195},{67,255,4071},{52,255,20},{39,212,3523},{1,255,10735},{0,212,3100},{162,255,5381},
{143,255,1777},{132,255,337},{118,246,331},{255,52,8712},{82,255,3492},{59,254,2},{0,216,2734},{255,156,8712},{0,216,2734},{98,255,4450},{98,255,4450},{98,255,4450},{87,238,2665},{76,255,3736},{52,255,20},{52,255,20},{45,181,258},{0,224,2757},{0,185,117},{132,255,337},{132,255,337},{132,255,337},{123,221,0},{232,0,2178},{60,251,0},{60,251,0},{0,188,10},{255,107,2178},{0,188,10},{255,152,2178},{174,255,820},{156,255,0},
{52,255,0},{255,152,2178},{255,205,2178},{52,255,0},{0,222,2178},{255,205,2178},{0,222,2178},{86,0,2665},{86,0,2665},{86,0,2665},{86,0,2665},{52,255,20},{52,255,20},{52,255,20},{50,158,0},{0,178,73},{0,178,73},{132,255,12678},{116,255,6826},{110,255,4685},{95,253,2678},{119,255,14061},{76,255,3663},{64,255,75},{49,216,2786},{10,255,9739},{0,219,2131},{172,255,4629},{152,255,1633},{144,255,433},{129,248,179},{255,70,7578},
{101,255,2949},{73,255,5},{0,222,1954},{255,165,7578},{0,222,1954},{110,255,4685},{110,255,4685},{110,255,4685},{96,247,2665},{89,255,3960},{64,255,75},{64,255,75},{54,190,258},{0,239,2571},{0,197,26},{144,255,433},{144,255,433},{144,255,433},{132,230,0},{245,0,2178},{73,255,5},{73,255,5},{0,197,1},{254,121,2178},{0,197,1},{255,164,1625},{186,255,605},{170,255,0},{79,255,0},{255,164,1625},{255,211,1625},{79,255,0},
{0,226,1625},{255,211,1625},{0,226,1625},{95,0,2665},{95,0,2665},{95,0,2665},{95,0,2665},{64,255,50},{64,255,50},{64,255,50},{59,167,0},{0,193,20},{0,193,20},{138,255,11970},{125,255,6797},{119,255,4909},{104,255,2665},{129,255,13086},{82,255,3411},{73,255,185},{57,221,2210},{22,255,8987},{0,225,1431},{178,255,4049},{161,255,1537},{153,255,530},{137,250,83},{255,86,6661},{113,255,2525},{86,255,40},{0,225,1382},{255,172,6661},
{0,225,1382},{119,255,4909},{119,255,4909},{119,255,4909},{104,255,2665},{98,255,4197},{73,255,185},{73,255,185},{62,198,258},{0,251,2435},{1,206,2},{153,255,530},{153,255,530},{153,255,530},{140,238,0},{255,4,2178},{86,255,40},{86,255,40},{4,206,0},{255,132,2178},{4,206,0},{255,177,1201},{195,255,442},{181,255,0},{104,255,0},{255,177,1201},{254,217,1201},{104,255,0},{0,230,1201},{254,217,1201},{0,230,1201},{103,0,2665},
{103,0,2665},{103,0,2665},{103,0,2665},{73,255,85},{73,255,85},{73,255,85},{67,175,0},{0,208,1},{0,208,1},{147,255,11330},{132,255,6786},{129,255,5126},{113,255,2694},{135,255,12250},{95,255,3225},{86,255,353},{67,225,1710},{37,255,8326},{0,231,915},{184,255,3541},{167,255,1469},{162,255,637},{146,253,24},{255,104,5829},{125,255,2165},{101,255,97},{0,231,914},{255,181,5829},{0,231,914},{129,255,5126},{129,255,5126},{129,255,5126},
{113,255,2694},{107,255,4452},{86,255,353},{86,255,353},{72,205,259},{1,255,2421},{9,214,2},{162,255,637},{162,255,637},{162,255,637},{148,245,0},{255,28,2178},{101,255,97},{101,255,97},{12,214,0},{255,144,2178},{12,214,0},{255,189,841},{204,255,305},{193,255,0},{128,255,0},{255,189,841},{254,223,841},{128,255,0},{0,234,841},{254,223,841},{0,234,841},{111,0,2665},{111,0,2665},{111,0,2665},{111,0,2665},{82,255,130},
{82,255,130},{82,255,130},{75,183,0},{6,217,0},{6,217,0},{153,255,10758},{141,255,6807},{135,255,5354},{122,255,2777},{144,255,11503},{104,255,3102},{95,255,569},{75,230,1282},{49,255,7825},{3,237,574},{190,255,3105},{177,255,1427},{172,255,740},{156,254,1},{255,119,5082},{137,255,1869},{116,255,180},{0,237,558},{254,189,5082},{0,237,558},{135,255,5354},{135,255,5354},{135,255,5354},{122,255,2777},{119,255,4724},{95,255,569},{95,255,569},
{79,213,266},{16,255,2587},{16,222,1},{172,255,740},{172,255,740},{172,255,740},{156,253,0},{255,52,2178},{116,255,180},{116,255,180},{20,222,0},{255,156,2178},{20,222,0},{255,201,545},{216,255,193},{205,255,0},{152,255,0},{255,201,545},{254,229,545},{152,255,0},{0,238,545},{254,229,545},{0,238,545},{119,0,2665},{119,0,2665},{119,0,2665},{119,0,2665},{89,255,180},{89,255,180},{89,255,180},{83,191,0},{15,224,0},
{15,224,0},{162,255,10197},{150,255,6861},{144,255,5645},{131,255,2933},{153,255,10765},{116,255,3051},{107,255,882},{84,236,891},{64,255,7297},{17,242,300},{199,255,2694},{186,255,1409},{181,255,881},{167,255,20},{255,137,4344},{152,255,1611},{131,255,305},{4,243,288},{254,198,4344},{4,243,288},{144,255,5645},{144,255,5645},{144,255,5645},{131,255,2933},{129,255,5005},{107,255,882},{107,255,882},{88,222,266},{34,255,2824},{25,231,1},{181,255,881},
{181,255,881},{181,255,881},{167,255,20},{255,79,2178},{131,255,305},{131,255,305},{28,231,0},{253,170,2178},{28,231,0},{255,216,288},{225,255,97},{218,255,0},{180,255,0},{255,216,288},{255,236,288},{180,255,0},{0,243,288},{255,236,288},{0,243,288},{128,0,2665},{128,0,2665},{128,0,2665},{128,0,2665},{101,255,250},{101,255,250},{101,255,250},{92,200,0},{24,233,0},{24,233,0},{172,255,9731},{159,255,6942},{153,255,5913},
{140,255,3130},{162,255,10204},{125,255,3090},{116,255,1218},{94,240,623},{79,255,6924},{27,246,132},{205,255,2402},{196,255,1419},{190,255,1018},{177,255,97},{255,152,3779},{164,255,1451},{146,255,442},{20,247,128},{255,205,3779},{20,247,128},{153,255,5913},{153,255,5913},{153,255,5913},{140,255,3130},{138,255,5304},{116,255,1218},{116,255,1218},{96,230,266},{49,255,3115},{33,239,1},{190,255,1018},{190,255,1018},{190,255,1018},{177,255,97},{255,104,2178},
{146,255,442},{146,255,442},{36,239,0},{255,181,2178},{36,239,0},{255,228,128},{234,255,40},{230,255,0},{204,255,0},{255,228,128},{255,242,128},{204,255,0},{0,247,128},{255,242,128},{0,247,128},{136,0,2665},{136,0,2665},{136,0,2665},{136,0,2665},{110,255,325},{110,255,325},{110,255,325},{100,208,0},{32,241,0},{32,241,0},{175,255,9359},{165,255,7050},{162,255,6193},{149,255,3381},{172,255,9691},{134,255,3207},{128,255,1610},
{102,245,429},{92,255,6719},{38,251,32},{215,255,2156},{205,255,1457},{199,255,1165},{186,255,221},{255,171,3299},{177,255,1398},{161,255,605},{36,251,32},{254,214,3299},{36,251,32},{162,255,6193},{162,255,6193},{162,255,6193},{149,255,3381},{147,255,5621},{128,255,1610},{128,255,1610},{104,238,266},{67,255,3419},{41,247,2},{199,255,1165},{199,255,1165},{199,255,1165},{186,255,221},{255,128,2178},{161,255,605},{161,255,605},{44,247,0},{255,193,2178},
{44,247,0},{255,240,32},{246,255,8},{242,255,0},{228,255,0},{255,240,32},{255,248,32},{228,255,0},{0,251,32},{255,248,32},{0,251,32},{144,0,2665},{144,0,2665},{144,0,2665},{144,0,2665},{119,255,410},{119,255,410},{119,255,410},{108,216,0},{39,250,0},{39,250,0},{184,255,9067},{175,255,7162},{172,255,6450},{158,255,3686},{175,255,9268},{146,255,3399},{137,255,2054},{110,250,311},{107,255,6532},{49,255,2},{221,255,1992},
{211,255,1521},{208,255,1322},{195,255,397},{255,186,2904},{189,255,1366},{174,255,820},{52,255,0},{255,221,2904},{52,255,0},{172,255,6450},{172,255,6450},{172,255,6450},{158,255,3686},{159,255,5949},{137,255,2054},{137,255,2054},{112,246,266},{82,255,3765},{49,255,2},{208,255,1322},{208,255,1322},{208,255,1322},{195,255,397},{255,152,2178},{174,255,820},{174,255,820},{52,255,0},{255,205,2178},{52,255,0},{255,252,0},{255,254,0},{254,255,0},
{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{152,0,2665},{152,0,2665},{152,0,2665},{152,0,2665},{129,255,493},{129,255,493},{129,255,493},{116,224,0},{49,255,2},{49,255,2},{190,255,7987},{181,255,6402},{178,255,5810},{167,255,3509},{184,255,7999},{155,255,3048},{146,255,1922},{121,252,155},{119,255,5562},{64,255,29},{224,255,1476},{218,255,1120},{215,255,965},{204,255,292},{255,195,2166},
{198,255,1009},{186,255,605},{79,255,0},{254,226,2166},{79,255,0},{178,255,5810},{178,255,5810},{178,255,5810},{167,255,3509},{165,255,5209},{146,255,1922},{146,255,1922},{121,249,133},{95,255,3258},{64,255,29},{215,255,965},{215,255,965},{215,255,965},{204,255,292},{255,164,1625},{186,255,605},{186,255,605},{79,255,0},{255,211,1625},{79,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},
{0,255,0},{255,254,0},{0,255,0},{161,0,2665},{161,0,2665},{161,0,2665},{161,0,2665},{138,255,610},{138,255,610},{138,255,610},{125,233,0},{64,255,29},{64,255,29},{196,255,7111},{187,255,5786},{184,255,5294},{174,255,3381},{187,255,6982},{161,255,2780},{155,255,1832},{131,253,61},{128,255,4795},{79,255,80},{230,255,1088},{224,255,824},{221,255,709},{210,255,212},{255,204,1601},{204,255,737},{195,255,442},{104,255,0},{255,230,1601},
{104,255,0},{184,255,5294},{184,255,5294},{184,255,5294},{174,255,3381},{172,255,4582},{155,255,1832},{155,255,1832},{132,251,53},{107,255,2834},{79,255,80},{221,255,709},{221,255,709},{221,255,709},{210,255,212},{255,177,1201},{195,255,442},{195,255,442},{104,255,0},{254,217,1201},{104,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{169,0,2665},
{169,0,2665},{169,0,2665},{169,0,2665},{147,255,725},{147,255,725},{147,255,725},{133,241,0},{79,255,80},{79,255,80},{202,255,6315},{193,255,5226},{190,255,4826},{180,255,3253},{193,255,6066},{167,255,2568},{164,255,1770},{141,254,11},{137,255,4122},{92,255,169},{233,255,753},{227,255,574},{227,255,493},{219,255,146},{255,210,1121},{213,255,507},{204,255,305},{128,255,0},{255,233,1121},{128,255,0},{190,255,4826},{190,255,4826},{190,255,4826},
{180,255,3253},{181,255,4065},{164,255,1770},{164,255,1770},{140,253,9},{119,255,2474},{92,255,169},{227,255,493},{227,255,493},{227,255,493},{219,255,146},{255,189,841},{204,255,305},{204,255,305},{128,255,0},{254,223,841},{128,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{177,0,2665},{177,0,2665},{177,0,2665},{177,0,2665},{156,255,850},
{156,255,850},{156,255,850},{141,249,0},{92,255,169},{92,255,169},{208,255,5599},{199,255,4722},{199,255,4398},{189,255,3130},{199,255,5254},{177,255,2395},{171,255,1742},{149,255,1},{149,255,3538},{107,255,274},{236,255,484},{233,255,366},{233,255,317},{225,255,90},{255,219,726},{222,255,321},{216,255,193},{152,255,0},{254,238,726},{152,255,0},{199,255,4398},{199,255,4398},{199,255,4398},{189,255,3130},{187,255,3613},{171,255,1742},{171,255,1742},
{149,255,1},{131,255,2178},{107,255,274},{233,255,317},{233,255,317},{233,255,317},{225,255,90},{255,201,545},{216,255,193},{216,255,193},{152,255,0},{254,229,545},{152,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{185,0,2665},{185,0,2665},{185,0,2665},{185,0,2665},{165,255,985},{165,255,985},{165,255,985},{149,255,1},{107,255,274},
{107,255,274},{43,255,50657},{1,255,1974},{0,182,128},{0,176,4572},{36,255,59540},{0,242,19268},{0,176,7306},{0,160,23941},{0,187,65535},{0,148,40590},{21,255,10267},{0,248,1412},{0,179,137},{0,148,3929},{115,0,18065},{0,153,12036},{0,139,6077},{0,93,14060},{234,0,18065},{0,93,14060},{0,143,0},{0,143,0},{0,143,0},{0,70,0},{0,70,1105},{0,57,405},{0,57,405},{0,34,653},{0,33,1209},{0,31,756},{0,143,0},
{0,143,0},{0,143,0},{0,70,0},{35,0,1105},{0,57,405},{0,57,405},{0,34,653},{70,0,1105},{0,34,653},{171,0,9248},{0,248,1412},{0,179,137},{0,148,3929},{171,0,9248},{255,46,9248},{0,148,3929},{0,115,9248},{255,46,9248},{0,115,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{43,255,53600},{4,255,2885},{0,191,38},
{0,185,3941},{43,255,62123},{0,254,18376},{0,182,6726},{0,169,23131},{0,196,65535},{0,154,40086},{27,255,10859},{0,254,1184},{0,188,45},{0,157,3656},{122,0,19334},{0,162,12449},{0,145,6089},{0,102,14754},{249,0,19334},{0,102,14754},{0,167,0},{0,167,0},{0,167,0},{0,82,0},{0,82,1513},{0,66,562},{0,66,562},{0,37,900},{0,36,1658},{0,37,1044},{0,167,0},{0,167,0},{0,167,0},{0,82,0},{41,0,1513},
{0,66,562},{0,66,562},{0,37,900},{82,0,1513},{0,37,900},{183,0,9248},{0,254,1184},{0,188,45},{0,157,3656},{183,0,9248},{255,58,9248},{0,157,3656},{0,123,9248},{255,58,9248},{0,123,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{46,255,56765},{7,255,4404},{0,199,3},{0,194,3404},{43,255,64774},{1,255,17986},{0,191,6229},
{0,176,22449},{0,215,65535},{0,160,39678},{33,255,11587},{1,255,1171},{0,199,4},{0,166,3393},{129,0,20689},{0,172,12834},{0,154,6125},{0,108,15490},{254,5,20689},{0,108,15490},{0,192,0},{0,192,0},{0,192,0},{0,94,0},{0,95,1985},{0,75,745},{0,75,745},{0,44,1202},{0,42,2178},{0,40,1374},{0,192,0},{0,192,0},{0,192,0},{0,94,0},{46,0,1985},{0,75,745},{0,75,745},{0,44,1202},{95,0,1985},
{0,44,1202},{195,0,9248},{1,255,1170},{0,199,4},{0,166,3393},{195,0,9248},{255,70,9248},{0,166,3393},{0,131,9248},{255,70,9248},{0,131,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{49,255,58131},{7,255,6200},{0,207,6},{0,203,2858},{46,255,65535},{1,255,17772},{0,200,5638},{0,182,21148},{0,215,63337},{0,166,38166},{43,255,12449},
{1,255,1395},{1,208,6},{0,176,3170},{138,0,22129},{0,184,13298},{0,163,6189},{0,114,16274},{254,14,22129},{0,114,16274},{0,216,0},{0,216,0},{0,216,0},{0,106,0},{0,107,2521},{0,88,928},{0,88,928},{0,50,1530},{0,48,2770},{0,47,1762},{0,216,0},{0,216,0},{0,216,0},{0,106,0},{52,0,2521},{0,88,928},{0,88,928},{0,50,1530},{107,0,2521},{0,50,1530},{207,0,9248},{7,255,1378},{5,207,0},
{0,176,3170},{207,0,9248},{255,82,9248},{0,176,3170},{0,139,9248},{255,82,9248},{0,139,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{55,255,58853},{10,255,8410},{0,216,47},{0,212,2312},{52,255,65535},{4,255,18024},{0,209,5015},{0,191,19619},{0,224,60697},{0,176,36050},{46,255,13542},{7,255,1877},{4,217,53},{0,185,2897},{147,0,23851},
{0,196,13856},{0,173,6281},{0,120,17216},{254,23,23851},{0,120,17216},{0,243,0},{0,243,0},{0,243,0},{0,119,0},{0,122,3200},{0,97,1186},{0,97,1186},{0,56,1945},{0,54,3521},{0,53,2243},{0,243,0},{0,243,0},{0,243,0},{0,119,0},{60,0,3200},{0,97,1186},{0,97,1186},{0,56,1945},{122,0,3200},{0,56,1945},{220,0,9248},{22,255,1693},{14,216,0},{0,185,2897},{220,0,9248},{255,95,9248},{0,185,2897},
{0,148,9248},{255,95,9248},{0,148,9248},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{58,255,59395},{13,255,10486},{0,225,107},{0,219,1933},{55,255,65535},{7,255,18658},{0,215,4619},{0,200,18436},{0,233,58566},{0,182,34489},{52,255,14690},{13,255,2489},{6,228,133},{0,194,2664},{155,0,25472},{0,208,14384},{0,182,6401},{0,126,18104},{255,30,25472},
{0,126,18104},{0,255,16},{0,255,16},{0,255,16},{0,131,0},{0,134,3872},{0,106,1445},{0,106,1445},{0,62,2357},{0,60,4265},{0,56,2717},{2,254,13},{2,254,13},{2,254,13},{0,131,0},{66,0,3872},{0,106,1445},{0,106,1445},{0,62,2357},{134,0,3872},{0,62,2357},{232,0,9248},{37,255,2000},{22,224,0},{0,194,2664},{232,0,9248},{255,107,9248},{0,194,2664},{0,156,9248},{255,107,9248},{0,156,9248},{0,0,0},
{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{61,255,59976},{16,255,12621},{2,233,174},{0,228,1613},{58,255,65535},{10,255,19459},{0,224,4093},{0,206,17181},{0,242,56514},{0,188,32973},{58,255,15746},{19,255,3205},{10,235,217},{0,206,2444},{164,0,26744},{0,218,14587},{0,191,6305},{0,136,18737},{255,39,26744},{0,136,18737},{3,255,110},{3,255,110},{3,255,110},
{1,142,2},{0,149,4418},{0,118,1585},{0,118,1585},{0,68,2633},{0,66,4909},{0,62,3077},{6,255,80},{6,255,80},{6,255,80},{2,142,0},{73,0,4418},{0,118,1585},{0,118,1585},{0,68,2633},{149,0,4418},{0,68,2633},{244,0,9248},{49,255,2377},{30,232,0},{0,206,2440},{244,0,9248},{255,119,9248},{0,206,2440},{0,164,9248},{255,119,9248},{0,164,9248},{1,0,2},{1,0,2},{1,0,2},{1,0,2},{0,7,0},
{0,7,0},{0,7,0},{0,3,0},{0,3,0},{0,3,0},{67,255,60796},{19,255,14846},{3,240,286},{0,234,1405},{64,255,65535},{13,255,20226},{0,233,3321},{0,212,15538},{0,254,54317},{0,197,31240},{67,255,16195},{31,255,3805},{18,243,217},{0,212,2328},{175,0,26744},{0,230,14051},{0,200,5525},{0,142,18273},{254,51,26744},{0,142,18273},{9,255,278},{9,255,278},{9,255,278},{5,152,50},{0,174,4418},{0,129,1313},{0,129,1313},
{0,77,2410},{0,75,5092},{0,71,2987},{15,255,125},{15,255,125},{15,255,125},{10,150,0},{85,0,4418},{0,129,1313},{0,129,1313},{0,77,2410},{174,0,4418},{0,77,2410},{255,1,9248},{64,255,2738},{37,240,0},{0,212,2228},{255,1,9248},{254,131,9248},{0,212,2228},{0,172,9248},{254,131,9248},{0,172,9248},{5,0,50},{5,0,50},{5,0,50},{5,0,50},{0,31,0},{0,31,0},{0,31,0},{0,15,0},{0,12,13},
{0,12,13},{70,255,61549},{25,255,17357},{4,250,459},{1,244,1256},{70,255,65535},{16,255,21346},{0,242,2603},{0,225,13862},{0,254,52221},{0,206,29474},{79,255,16720},{43,255,4545},{27,252,217},{7,223,2341},{189,0,26744},{0,245,13481},{0,212,4710},{0,154,17762},{255,64,26744},{0,154,17762},{15,255,602},{15,255,602},{15,255,602},{10,163,181},{0,201,4418},{0,147,1037},{0,147,1037},{0,83,2196},{0,88,5300},{0,80,2921},{27,255,185},
{27,255,185},{27,255,185},{19,159,0},{98,0,4418},{0,147,1037},{0,147,1037},{0,83,2196},{201,0,4418},{0,83,2196},{255,28,9248},{82,255,3176},{46,249,0},{0,225,2020},{255,28,9248},{255,144,9248},{0,225,2020},{0,181,9248},{255,144,9248},{0,181,9248},{9,0,181},{9,0,181},{9,0,181},{9,0,181},{0,58,0},{0,58,0},{0,58,0},{0,29,0},{0,24,58},{0,24,58},{73,255,62082},{28,255,19099},{6,255,688},
{2,251,1170},{73,255,65535},{19,255,22086},{0,248,2054},{0,231,12530},{0,254,51038},{0,212,28165},{86,255,16691},{52,255,4985},{36,255,250},{14,230,2238},{199,0,26259},{0,254,12692},{0,221,3965},{0,160,16946},{254,75,26259},{0,160,16946},{21,255,1006},{21,255,1006},{21,255,1006},{14,173,365},{0,225,4418},{0,162,820},{0,162,820},{0,96,1994},{0,100,5540},{0,90,2891},{36,255,250},{36,255,250},{36,255,250},{27,167,0},{110,0,4418},
{0,162,820},{0,162,820},{0,96,1994},{225,0,4418},{0,96,1994},{255,49,8978},{95,255,3433},{55,255,0},{0,231,1732},{255,49,8978},{254,155,8978},{0,231,1732},{0,188,8978},{254,155,8978},{0,188,8978},{13,0,365},{13,0,365},{13,0,365},{13,0,365},{0,82,0},{0,82,0},{0,82,0},{0,41,0},{0,33,125},{0,33,125},{76,255,62399},{28,255,19454},{6,255,1075},{2,251,1090},{73,255,65535},{19,255,21590},{0,250,1503},
{0,231,11251},{0,254,50424},{0,212,27242},{95,255,15410},{58,255,4661},{46,255,317},{24,231,1853},{208,0,24371},{0,254,11124},{0,227,2881},{0,166,15066},{254,84,24371},{0,166,15066},{27,255,1522},{27,255,1522},{27,255,1522},{17,183,613},{0,249,4418},{0,175,605},{0,175,605},{0,105,1801},{0,109,5805},{0,97,2885},{46,255,317},{46,255,317},{46,255,317},{35,175,0},{122,0,4418},{0,175,605},{0,175,605},{0,105,1801},{249,0,4418},
{0,105,1801},{255,61,7938},{104,255,3026},{67,255,0},{0,237,1224},{255,61,7938},{254,161,7938},{0,237,1224},{0,192,7938},{254,161,7938},{0,192,7938},{17,0,613},{17,0,613},{17,0,613},{17,0,613},{0,107,0},{0,107,0},{0,107,0},{0,52,0},{0,42,218},{0,42,218},{76,255,62711},{28,255,19886},{9,255,1549},{3,252,1093},{73,255,65535},{19,255,21152},{0,251,1032},{0,234,10008},{0,254,49821},{0,212,26360},{101,255,14198},
{67,255,4361},{55,255,400},{33,234,1502},{215,0,22568},{1,255,9795},{0,230,1973},{0,169,13320},{254,91,22568},{0,169,13320},{33,255,2150},{33,255,2150},{33,255,2150},{21,193,925},{3,255,4459},{0,190,442},{0,190,442},{0,114,1618},{0,121,6101},{0,106,2901},{55,255,400},{55,255,400},{55,255,400},{43,183,0},{134,0,4418},{0,190,442},{0,190,442},{0,114,1618},{255,9,4418},{0,114,1618},{255,73,6962},{113,255,2645},{79,255,0},
{0,240,801},{255,73,6962},{254,167,6962},{0,240,801},{0,196,6962},{254,167,6962},{0,196,6962},{21,0,925},{21,0,925},{21,0,925},{21,0,925},{0,131,0},{0,131,0},{0,131,0},{0,64,0},{0,51,337},{0,51,337},{76,255,63078},{31,255,20439},{9,255,2192},{4,253,1202},{76,255,65535},{19,255,20732},{0,251,606},{0,234,8676},{0,254,49164},{0,212,25424},{110,255,12917},{79,255,4059},{64,255,505},{43,234,1147},{224,0,20642},
{1,255,8589},{0,236,1155},{0,179,11489},{254,100,20642},{0,179,11489},{39,255,2986},{39,255,2986},{39,255,2986},{26,204,1352},{12,255,4660},{0,205,289},{0,205,289},{0,126,1424},{0,132,6467},{0,115,2955},{64,255,505},{64,255,505},{64,255,505},{52,192,0},{147,0,4418},{0,205,289},{0,205,289},{0,126,1424},{254,23,4418},{0,126,1424},{255,86,5941},{125,255,2248},{92,255,0},{0,243,433},{255,86,5941},{255,172,5941},{0,243,433},
{0,200,5941},{255,172,5941},{0,200,5941},{26,0,1352},{26,0,1352},{26,0,1352},{26,0,1352},{0,158,0},{0,158,0},{0,158,0},{0,78,0},{0,63,500},{0,63,500},{79,255,63411},{31,255,21008},{12,255,2858},{7,253,1393},{76,255,65535},{22,255,20416},{0,253,320},{0,237,7549},{0,254,48613},{0,218,24643},{116,255,11849},{82,255,3845},{73,255,610},{53,238,867},{232,0,19021},{10,255,7741},{0,242,611},{0,182,9957},{255,107,19021},
{0,182,9957},{43,255,3819},{43,255,3819},{43,255,3819},{30,214,1800},{15,255,4981},{0,221,169},{0,221,169},{0,133,1282},{0,141,6822},{0,124,3029},{73,255,610},{73,255,610},{73,255,610},{60,200,0},{159,0,4418},{0,221,169},{0,221,169},{0,133,1282},{254,35,4418},{0,133,1282},{255,98,5101},{134,255,1921},{104,255,0},{0,246,202},{255,98,5101},{255,178,5101},{0,246,202},{0,204,5101},{255,178,5101},{0,204,5101},{30,0,1800},
{30,0,1800},{30,0,1800},{30,0,1800},{0,183,0},{0,183,0},{0,183,0},{0,89,0},{0,72,673},{0,72,673},{86,255,63733},{34,255,21637},{12,255,3614},{8,254,1668},{76,255,65535},{22,255,20164},{0,254,123},{0,237,6489},{0,254,48082},{0,218,23857},{122,255,10853},{95,255,3629},{86,255,724},{62,241,632},{241,0,17485},{22,255,6965},{0,248,243},{0,188,8529},{255,116,17485},{0,188,8529},{49,255,4787},{49,255,4787},{49,255,4787},
{34,224,2312},{21,255,5437},{0,233,89},{0,233,89},{0,142,1129},{0,153,7206},{0,133,3131},{86,255,724},{86,255,724},{86,255,724},{68,207,0},{171,0,4418},{0,233,89},{0,233,89},{0,142,1129},{255,46,4418},{0,142,1129},{255,110,4325},{143,255,1620},{116,255,0},{0,252,58},{255,110,4325},{255,184,4325},{0,252,58},{0,208,4325},{255,184,4325},{0,208,4325},{34,0,2312},{34,0,2312},{34,0,2312},{34,0,2312},{0,207,0},
{0,207,0},{0,207,0},{0,101,0},{0,88,865},{0,88,865},{86,255,63992},{34,255,22322},{15,255,4457},{8,255,2033},{76,255,65535},{22,255,19980},{0,254,23},{0,240,5494},{0,254,47573},{0,218,23129},{129,255,9866},{104,255,3441},{92,255,832},{71,244,435},{248,0,16034},{34,255,6253},{0,254,51},{0,194,7213},{254,124,16034},{0,194,7213},{55,255,5867},{55,255,5867},{55,255,5867},{38,234,2888},{27,255,6029},{0,248,34},{0,248,34},
{0,154,985},{0,162,7619},{0,142,3261},{92,255,832},{92,255,832},{92,255,832},{76,215,0},{183,0,4418},{0,248,34},{0,248,34},{0,154,985},{255,58,4418},{0,154,985},{255,122,3613},{152,255,1345},{128,255,0},{0,255,1},{255,122,3613},{255,190,3613},{0,255,1},{0,212,3613},{255,190,3613},{0,212,3613},{38,0,2888},{38,0,2888},{38,0,2888},{38,0,2888},{0,231,0},{0,231,0},{0,231,0},{0,113,0},{0,91,1066},
{0,91,1066},{86,255,64310},{37,255,23174},{15,255,5504},{10,255,2546},{79,255,65535},{25,255,19854},{1,255,23},{0,240,4466},{0,254,47048},{0,221,22366},{138,255,8897},{113,255,3261},{101,255,985},{80,247,258},{255,4,14504},{40,255,5561},{7,255,34},{0,200,5867},{255,132,14504},{0,200,5867},{61,255,7213},{61,255,7213},{61,255,7213},{42,245,3613},{33,255,6859},{1,255,51},{1,255,51},{0,163,832},{0,175,8059},{0,151,3441},{101,255,985},
{101,255,985},{101,255,985},{85,224,0},{196,0,4418},{7,255,34},{7,255,34},{0,163,832},{254,72,4418},{0,163,832},{255,137,2888},{164,255,1066},{141,255,0},{22,255,0},{255,137,2888},{254,198,2888},{22,255,0},{0,217,2888},{254,198,2888},{0,217,2888},{42,0,3613},{42,0,3613},{42,0,3613},{42,0,3613},{0,255,1},{0,255,1},{0,255,1},{0,127,0},{0,103,1345},{0,103,1345},{86,255,64605},{37,255,23983},{18,255,6523},
{10,255,3097},{86,255,65535},{25,255,19808},{1,255,124},{0,243,3633},{0,254,46617},{0,221,21751},{144,255,8113},{122,255,3131},{113,255,1129},{90,248,139},{255,19,13235},{58,255,5012},{22,255,89},{0,206,4787},{254,140,13235},{0,206,4787},{67,255,8529},{67,255,8529},{67,255,8529},{46,255,4325},{43,255,7725},{7,255,243},{7,255,243},{0,169,724},{0,184,8530},{0,160,3629},{113,255,1129},{113,255,1129},{113,255,1129},{93,232,0},{208,0,4418},
{22,255,89},{22,255,89},{0,169,724},{254,84,4418},{0,169,724},{255,149,2312},{167,255,865},{153,255,0},{46,255,0},{255,149,2312},{254,204,2312},{46,255,0},{0,221,2312},{254,204,2312},{0,221,2312},{46,0,4325},{46,0,4325},{46,0,4325},{46,0,4325},{3,255,58},{3,255,58},{3,255,58},{0,138,0},{0,112,1620},{0,112,1620},{86,255,64960},{37,255,24878},{18,255,7621},{13,255,3738},{86,255,65535},{25,255,19851},{2,255,323},
{0,243,2885},{0,254,46257},{0,224,21209},{153,255,7392},{131,255,3029},{122,255,1282},{99,251,56},{255,37,12051},{70,255,4500},{34,255,169},{0,212,3819},{254,149,12051},{0,212,3819},{70,255,9957},{70,255,9957},{70,255,9957},{52,255,5141},{46,255,8712},{13,255,611},{13,255,611},{0,182,610},{0,196,9026},{0,169,3845},{122,255,1282},{122,255,1282},{122,255,1282},{101,240,0},{220,0,4418},{34,255,169},{34,255,169},{0,182,610},{255,95,4418},
{0,182,610},{255,161,1800},{183,255,673},{165,255,0},{70,255,0},{255,161,1800},{254,210,1800},{70,255,0},{0,225,1800},{254,210,1800},{0,225,1800},{50,0,5101},{50,0,5101},{50,0,5101},{50,0,5101},{9,255,202},{9,255,202},{9,255,202},{0,150,0},{0,121,1921},{0,121,1921},{86,255,65314},{43,255,25774},{21,255,8796},{13,255,4456},{86,255,65535},{25,255,19965},{4,255,614},{0,246,2222},{0,254,45929},{0,224,20720},{159,255,6740},
{140,255,2955},{129,255,1424},{108,254,11},{255,52,10952},{82,255,4052},{49,255,289},{0,216,2986},{255,156,10952},{0,216,2986},{76,255,11489},{76,255,11489},{76,255,11489},{58,255,6109},{52,255,9860},{19,255,1155},{19,255,1155},{0,191,505},{0,208,9554},{0,176,4059},{129,255,1424},{129,255,1424},{129,255,1424},{109,248,0},{232,0,4418},{49,255,289},{49,255,289},{0,191,505},{255,107,4418},{0,191,505},{255,174,1352},{192,255,500},{177,255,0},
{95,255,0},{255,174,1352},{255,215,1352},{95,255,0},{0,229,1352},{255,215,1352},{0,229,1352},{54,0,5941},{54,0,5941},{54,0,5941},{54,0,5941},{12,255,433},{12,255,433},{12,255,433},{0,162,0},{0,129,2248},{0,129,2248},{86,255,65535},{43,255,26766},{21,255,10162},{13,255,5358},{86,255,65359},{28,255,20101},{4,255,1047},{0,246,1573},{0,254,45474},{0,227,20192},{172,255,6085},{149,255,2901},{141,255,1618},{119,255,2},{255,70,9818},
{95,255,3685},{64,255,442},{0,222,2150},{255,165,9818},{0,222,2150},{86,255,13320},{86,255,13320},{86,255,13320},{61,255,7370},{58,255,11310},{22,255,1973},{22,255,1973},{0,200,400},{0,218,10107},{0,188,4361},{141,255,1618},{141,255,1618},{141,255,1618},{119,255,2},{245,0,4418},{64,255,442},{64,255,442},{0,200,400},{254,121,4418},{0,200,400},{255,186,925},{204,255,337},{190,255,0},{122,255,0},{255,186,925},{255,221,925},{122,255,0},
{0,233,925},{255,221,925},{0,233,925},{59,0,6962},{59,0,6962},{59,0,6962},{59,0,6962},{15,255,801},{15,255,801},{15,255,801},{0,175,0},{0,141,2645},{0,141,2645},{86,255,65535},{43,255,27616},{24,255,11405},{16,255,6203},{86,255,65014},{28,255,20233},{5,255,1524},{0,249,1090},{1,255,44974},{0,227,19721},{175,255,5534},{156,255,2885},{150,255,1801},{128,255,40},{255,86,8901},{107,255,3373},{79,255,605},{0,228,1522},{255,172,8901},
{0,228,1522},{89,255,15066},{89,255,15066},{89,255,15066},{67,255,8646},{64,255,12746},{28,255,2881},{28,255,2881},{0,209,317},{0,230,10691},{0,194,4661},{150,255,1801},{150,255,1801},{150,255,1801},{128,255,40},{255,4,4418},{79,255,605},{79,255,605},{0,209,317},{255,132,4418},{0,209,317},{255,198,613},{213,255,218},{202,255,0},{146,255,0},{255,198,613},{255,227,613},{146,255,0},{0,237,613},{255,227,613},{0,237,613},{63,0,7938},
{63,0,7938},{63,0,7938},{63,0,7938},{18,255,1224},{18,255,1224},{18,255,1224},{0,187,0},{0,150,3026},{0,150,3026},{89,255,65535},{43,255,28505},{24,255,12681},{16,255,7117},{86,255,64678},{28,255,20430},{7,255,2079},{0,249,697},{1,255,44506},{0,227,19330},{181,255,5094},{165,255,2891},{159,255,1994},{137,255,130},{255,104,8069},{119,255,3125},{92,255,820},{0,234,1006},{255,181,8069},{0,234,1006},{95,255,16946},{95,255,16946},{95,255,16946},
{73,255,10074},{67,255,14315},{34,255,3965},{34,255,3965},{0,219,250},{0,239,11302},{0,203,4985},{159,255,1994},{159,255,1994},{159,255,1994},{137,255,130},{255,28,4418},{92,255,820},{92,255,820},{0,219,250},{255,144,4418},{0,219,250},{255,210,365},{222,255,125},{214,255,0},{171,255,0},{255,210,365},{255,233,365},{171,255,0},{0,241,365},{255,233,365},{0,241,365},{67,0,8978},{67,0,8978},{67,0,8978},{67,0,8978},{24,255,1732},
{24,255,1732},{24,255,1732},{0,199,0},{0,159,3433},{0,159,3433},{92,255,65535},{49,255,29231},{30,255,13748},{22,255,7832},{89,255,64474},{34,255,20616},{13,255,2581},{5,251,455},{1,255,43254},{0,230,17214},{187,255,4726},{175,255,2921},{172,255,2196},{146,255,272},{255,119,7322},{131,255,2941},{107,255,1037},{0,240,602},{254,189,7322},{0,240,602},{101,255,17762},{101,255,17762},{101,255,17762},{79,255,10742},{76,255,15150},{43,255,4710},{43,255,4710},
{3,228,217},{0,251,10994},{0,212,4545},{172,255,2196},{172,255,2196},{172,255,2196},{146,255,272},{255,52,4418},{107,255,1037},{107,255,1037},{0,228,185},{255,156,4418},{0,228,185},{255,222,181},{231,255,58},{226,255,0},{195,255,0},{255,222,181},{255,239,181},{195,255,0},{0,245,181},{255,239,181},{0,245,181},{74,0,9248},{74,0,9248},{74,0,9248},{74,0,9248},{30,255,2020},{30,255,2020},{30,255,2020},{6,208,0},{0,172,3176},
{0,172,3176},{98,255,65535},{58,255,30030},{43,255,14936},{31,255,8624},{95,255,64295},{43,255,20818},{22,255,3192},{15,252,275},{1,255,41806},{0,236,14271},{196,255,4387},{184,255,2987},{178,255,2410},{158,255,490},{255,137,6584},{146,255,2811},{125,255,1313},{0,246,278},{254,198,6584},{0,246,278},{113,255,18273},{113,255,18273},{113,255,18273},{89,255,11256},{89,255,15726},{55,255,5525},{55,255,5525},{12,237,217},{0,254,10500},{0,224,3805},{178,255,2410},
{178,255,2410},{178,255,2410},{158,255,490},{255,79,4418},{125,255,1313},{125,255,1313},{0,240,125},{253,170,4418},{0,240,125},{255,237,50},{243,255,13},{239,255,0},{222,255,0},{255,237,50},{254,247,50},{222,255,0},{0,250,50},{254,247,50},{0,250,50},{83,0,9248},{83,0,9248},{83,0,9248},{83,0,9248},{43,255,2228},{43,255,2228},{43,255,2228},{15,217,0},{0,190,2738},{0,190,2738},{104,255,65535},{67,255,30820},{49,255,16060},
{40,255,9410},{101,255,64140},{52,255,21086},{31,255,3826},{22,253,162},{1,255,40863},{0,239,11797},{202,255,4163},{193,255,3077},{187,255,2633},{167,255,740},{255,152,6019},{158,255,2763},{137,255,1585},{0,252,110},{255,205,6019},{0,252,110},{119,255,18737},{119,255,18737},{119,255,18737},{98,255,11747},{98,255,16315},{64,255,6305},{64,255,6305},{20,245,217},{1,255,10451},{0,236,3205},{187,255,2633},{187,255,2633},{187,255,2633},{167,255,740},{255,104,4418},
{137,255,1585},{137,255,1585},{0,249,80},{255,181,4418},{0,249,80},{255,249,2},{252,255,0},{251,255,0},{246,255,0},{255,249,2},{254,253,2},{246,255,0},{0,254,2},{254,253,2},{0,254,2},{91,0,9248},{91,0,9248},{91,0,9248},{91,0,9248},{49,255,2440},{49,255,2440},{49,255,2440},{23,225,0},{0,205,2377},{0,205,2377},{110,255,65535},{73,255,31223},{55,255,16690},{49,255,9985},{107,255,63957},{58,255,21217},{38,255,4182},
{30,255,97},{1,255,40169},{0,242,9493},{208,255,3603},{199,255,2717},{193,255,2357},{174,255,725},{255,164,5163},{167,255,2409},{149,255,1445},{0,255,16},{255,211,5163},{0,255,16},{129,255,18104},{129,255,18104},{129,255,18104},{107,255,11680},{107,255,15698},{73,255,6401},{73,255,6401},{27,249,133},{1,255,9723},{0,242,2489},{193,255,2357},{193,255,2357},{193,255,2357},{174,255,725},{255,119,3872},{149,255,1445},{149,255,1445},{0,252,13},{254,189,3872},
{0,252,13},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{99,0,9248},{99,0,9248},{99,0,9248},{99,0,9248},{61,255,2664},{61,255,2664},{61,255,2664},{31,233,0},{0,218,2000},{0,218,2000},{116,255,65535},{79,255,31523},{64,255,17156},{55,255,10522},{113,255,63756},{67,255,21315},{46,255,4385},{38,254,41},{4,255,39799},{0,245,7354},{215,255,2952},
{202,255,2243},{199,255,1945},{183,255,593},{255,171,4267},{167,255,2009},{158,255,1186},{10,255,0},{254,214,4267},{10,255,0},{135,255,17216},{135,255,17216},{135,255,17216},{116,255,11435},{113,255,14726},{82,255,6281},{82,255,6281},{38,251,53},{1,255,8923},{0,248,1877},{199,255,1945},{199,255,1945},{199,255,1945},{183,255,593},{255,131,3200},{158,255,1186},{158,255,1186},{10,255,0},{254,195,3200},{10,255,0},{255,252,0},{255,254,0},{254,255,0},
{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{107,0,9248},{107,0,9248},{107,0,9248},{107,0,9248},{70,255,2897},{70,255,2897},{70,255,2897},{39,241,0},{0,233,1693},{0,233,1693},{122,255,65535},{89,255,32024},{73,255,17745},{64,255,11181},{119,255,63505},{73,255,21450},{55,255,4731},{48,255,5},{13,255,39517},{0,248,5202},{218,255,2308},{208,255,1762},{205,255,1530},{192,255,464},{255,180,3361},
{183,255,1587},{167,255,928},{37,255,0},{255,218,3361},{37,255,0},{141,255,16274},{141,255,16274},{141,255,16274},{122,255,11169},{122,255,13721},{92,255,6189},{92,255,6189},{47,254,6},{13,255,8241},{0,254,1395},{205,255,1530},{205,255,1530},{205,255,1530},{192,255,464},{255,143,2521},{167,255,928},{167,255,928},{37,255,0},{254,201,2521},{37,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},
{0,255,0},{255,254,0},{0,255,0},{116,0,9248},{116,0,9248},{116,0,9248},{116,0,9248},{79,255,3170},{79,255,3170},{79,255,3170},{48,250,0},{0,248,1378},{0,248,1378},{129,255,65535},{95,255,32533},{79,255,18407},{73,255,11877},{129,255,63435},{82,255,21690},{64,255,5107},{56,255,2},{25,255,39436},{0,248,3611},{221,255,1809},{215,255,1374},{211,255,1202},{198,255,360},{255,189,2646},{192,255,1241},{180,255,745},{61,255,0},{254,223,2646},
{61,255,0},{147,255,15490},{147,255,15490},{147,255,15490},{131,255,10946},{129,255,12826},{101,255,6125},{101,255,6125},{56,255,4},{25,255,7705},{0,254,1171},{211,255,1202},{211,255,1202},{211,255,1202},{198,255,360},{255,155,1985},{180,255,745},{180,255,745},{61,255,0},{254,207,1985},{61,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{124,0,9248},
{124,0,9248},{124,0,9248},{124,0,9248},{89,255,3393},{89,255,3393},{89,255,3393},{56,255,4},{0,254,1170},{0,254,1170},{132,255,65535},{101,255,32957},{86,255,19017},{82,255,12610},{129,255,62977},{89,255,22061},{73,255,5530},{64,255,31},{34,255,39178},{0,251,2372},{224,255,1376},{218,255,1044},{218,255,900},{204,255,272},{255,198,2017},{198,255,937},{189,255,562},{86,255,0},{255,227,2017},{86,255,0},{153,255,14754},{153,255,14754},{153,255,14754},
{137,255,10742},{135,255,12066},{107,255,6089},{107,255,6089},{67,255,45},{37,255,7233},{1,255,1184},{218,255,900},{218,255,900},{218,255,900},{204,255,272},{255,167,1513},{189,255,562},{189,255,562},{86,255,0},{253,213,1513},{86,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{132,0,9248},{132,0,9248},{132,0,9248},{132,0,9248},{98,255,3656},
{98,255,3656},{98,255,3656},{67,255,45},{1,255,1184},{1,255,1184},{138,255,65535},{107,255,33448},{95,255,19729},{89,255,13446},{135,255,62717},{95,255,22307},{79,255,6021},{73,255,105},{40,255,38959},{0,254,1627},{230,255,996},{224,255,756},{221,255,653},{213,255,194},{255,204,1473},{207,255,675},{198,255,405},{110,255,0},{255,230,1473},{110,255,0},{162,255,14060},{162,255,14060},{162,255,14060},{146,255,10545},{141,255,11378},{116,255,6077},{116,255,6077},
{76,255,137},{40,255,6873},{7,255,1412},{221,255,653},{221,255,653},{221,255,653},{213,255,194},{255,180,1105},{198,255,405},{198,255,405},{110,255,0},{255,218,1105},{110,255,0},{255,252,0},{255,254,0},{254,255,0},{252,255,0},{255,252,0},{255,254,0},{252,255,0},{0,255,0},{255,254,0},{0,255,0},{140,0,9248},{140,0,9248},{140,0,9248},{140,0,9248},{107,255,3929},{107,255,3929},{107,255,3929},{76,255,137},{7,255,1412},
{7,255,1412},
|
0 | repos/c2z/use_cases | repos/c2z/use_cases/imgui/imgui_impl_sdl2.zig | // auto generated by c2z
const std = @import("std");
//const cpp = @import("cpp");
extern fn _1_ImGui_ImplSDL2_Init_(window: *SDL_Window, renderer: [*c]SDL_Renderer, sdl_gl_context: ?*anyopaque) bool;
pub const Init = _1_ImGui_ImplSDL2_Init_;
extern fn _1_ImGui_ImplSDL2_InitForOpenGL_(window: *SDL_Window, sdl_gl_context: ?*anyopaque) bool;
pub const InitForOpenGL = _1_ImGui_ImplSDL2_InitForOpenGL_;
extern fn _1_ImGui_ImplSDL2_InitForVulkan_(window: *SDL_Window) bool;
pub const InitForVulkan = _1_ImGui_ImplSDL2_InitForVulkan_;
extern fn _1_ImGui_ImplSDL2_InitForD3D_(window: *SDL_Window) bool;
pub const InitForD3D = _1_ImGui_ImplSDL2_InitForD3D_;
extern fn _1_ImGui_ImplSDL2_InitForMetal_(window: *SDL_Window) bool;
pub const InitForMetal = _1_ImGui_ImplSDL2_InitForMetal_;
extern fn _1_ImGui_ImplSDL2_InitForSDLRenderer_(window: [*c]SDL_Window, renderer: [*c]SDL_Renderer) bool;
pub const InitForSDLRenderer = _1_ImGui_ImplSDL2_InitForSDLRenderer_;
extern fn _1_ImGui_ImplSDL2_Shutdown_() void;
pub const Shutdown = _1_ImGui_ImplSDL2_Shutdown_;
extern fn _1_ImGui_ImplSDL2_NewFrame_() void;
pub const NewFrame = _1_ImGui_ImplSDL2_NewFrame_;
extern fn _1_ImGui_ImplSDL2_ProcessEvent_(event: [*c]const SDL_Event) bool;
pub const ProcessEvent = _1_ImGui_ImplSDL2_ProcessEvent_;
// opaques
const SDL_Window = anyopaque;
const SDL_Renderer = anyopaque;
const SDL_Event = anyopaque;
|
0 | repos/c2z/use_cases | repos/c2z/use_cases/imgui/imgui_impl_sdl2_glue.cpp | // auto generated by c2z
#include "imgui_impl_sdl2.h"
extern "C" bool _1_ImGui_ImplSDL2_Init_(SDL_Window * window, SDL_Renderer * renderer, void * sdl_gl_context) { return ::ImGui_ImplSDL2_Init(window, renderer, sdl_gl_context); }
extern "C" bool _1_ImGui_ImplSDL2_InitForOpenGL_(SDL_Window * window, void * sdl_gl_context) { return ::ImGui_ImplSDL2_InitForOpenGL(window, sdl_gl_context); }
extern "C" bool _1_ImGui_ImplSDL2_InitForVulkan_(SDL_Window * window) { return ::ImGui_ImplSDL2_InitForVulkan(window); }
extern "C" bool _1_ImGui_ImplSDL2_InitForD3D_(SDL_Window * window) { return ::ImGui_ImplSDL2_InitForD3D(window); }
extern "C" bool _1_ImGui_ImplSDL2_InitForMetal_(SDL_Window * window) { return ::ImGui_ImplSDL2_InitForMetal(window); }
extern "C" bool _1_ImGui_ImplSDL2_InitForSDLRenderer_(SDL_Window * window, SDL_Renderer * renderer) { return ::ImGui_ImplSDL2_InitForSDLRenderer(window, renderer); }
extern "C" void _1_ImGui_ImplSDL2_Shutdown_() { ::ImGui_ImplSDL2_Shutdown(); }
extern "C" void _1_ImGui_ImplSDL2_NewFrame_() { ::ImGui_ImplSDL2_NewFrame(); }
extern "C" bool _1_ImGui_ImplSDL2_ProcessEvent_(const SDL_Event * event) { return ::ImGui_ImplSDL2_ProcessEvent(event); }
|
0 | repos/c2z/use_cases | repos/c2z/use_cases/imgui/imgui_glue.cpp | // auto generated by c2z
#include "imgui.h"
extern "C" ImGuiContext * _1_ImGui_CreateContext_(ImFontAtlas * shared_font_atlas) { return ::ImGui::CreateContext(shared_font_atlas); }
extern "C" void _1_ImGui_DestroyContext_(ImGuiContext * ctx) { ::ImGui::DestroyContext(ctx); }
extern "C" ImGuiContext * _1_ImGui_GetCurrentContext_() { return ::ImGui::GetCurrentContext(); }
extern "C" void _1_ImGui_SetCurrentContext_(ImGuiContext * ctx) { ::ImGui::SetCurrentContext(ctx); }
extern "C" ImGuiIO & _1_ImGui_GetIO_() { return ::ImGui::GetIO(); }
extern "C" ImGuiStyle & _1_ImGui_GetStyle_() { return ::ImGui::GetStyle(); }
extern "C" void _1_ImGui_NewFrame_() { ::ImGui::NewFrame(); }
extern "C" void _1_ImGui_EndFrame_() { ::ImGui::EndFrame(); }
extern "C" void _1_ImGui_Render_() { ::ImGui::Render(); }
extern "C" ImDrawData * _1_ImGui_GetDrawData_() { return ::ImGui::GetDrawData(); }
extern "C" void _1_ImGui_ShowDemoWindow_(bool * p_open) { ::ImGui::ShowDemoWindow(p_open); }
extern "C" void _1_ImGui_ShowMetricsWindow_(bool * p_open) { ::ImGui::ShowMetricsWindow(p_open); }
extern "C" void _1_ImGui_ShowDebugLogWindow_(bool * p_open) { ::ImGui::ShowDebugLogWindow(p_open); }
extern "C" void _1_ImGui_ShowStackToolWindow_(bool * p_open) { ::ImGui::ShowStackToolWindow(p_open); }
extern "C" void _1_ImGui_ShowAboutWindow_(bool * p_open) { ::ImGui::ShowAboutWindow(p_open); }
extern "C" void _1_ImGui_ShowStyleEditor_(ImGuiStyle * ref) { ::ImGui::ShowStyleEditor(ref); }
extern "C" bool _1_ImGui_ShowStyleSelector_(const char * label) { return ::ImGui::ShowStyleSelector(label); }
extern "C" void _1_ImGui_ShowFontSelector_(const char * label) { ::ImGui::ShowFontSelector(label); }
extern "C" void _1_ImGui_ShowUserGuide_() { ::ImGui::ShowUserGuide(); }
extern "C" const char * _1_ImGui_GetVersion_() { return ::ImGui::GetVersion(); }
extern "C" void _1_ImGui_StyleColorsDark_(ImGuiStyle * dst) { ::ImGui::StyleColorsDark(dst); }
extern "C" void _1_ImGui_StyleColorsLight_(ImGuiStyle * dst) { ::ImGui::StyleColorsLight(dst); }
extern "C" void _1_ImGui_StyleColorsClassic_(ImGuiStyle * dst) { ::ImGui::StyleColorsClassic(dst); }
extern "C" bool _1_ImGui_Begin_(const char * name, bool * p_open, ImGuiWindowFlags flags) { return ::ImGui::Begin(name, p_open, flags); }
extern "C" void _1_ImGui_End_() { ::ImGui::End(); }
extern "C" bool _1_ImGui_BeginChild_(const char * str_id, const ImVec2 & size, bool border, ImGuiWindowFlags flags) { return ::ImGui::BeginChild(str_id, size, border, flags); }
extern "C" bool _2_ImGui_BeginChild_(ImGuiID id, const ImVec2 & size, bool border, ImGuiWindowFlags flags) { return ::ImGui::BeginChild(id, size, border, flags); }
extern "C" void _1_ImGui_EndChild_() { ::ImGui::EndChild(); }
extern "C" bool _1_ImGui_IsWindowAppearing_() { return ::ImGui::IsWindowAppearing(); }
extern "C" bool _1_ImGui_IsWindowCollapsed_() { return ::ImGui::IsWindowCollapsed(); }
extern "C" bool _1_ImGui_IsWindowFocused_(ImGuiFocusedFlags flags) { return ::ImGui::IsWindowFocused(flags); }
extern "C" bool _1_ImGui_IsWindowHovered_(ImGuiHoveredFlags flags) { return ::ImGui::IsWindowHovered(flags); }
extern "C" ImDrawList * _1_ImGui_GetWindowDrawList_() { return ::ImGui::GetWindowDrawList(); }
extern "C" float _1_ImGui_GetWindowDpiScale_() { return ::ImGui::GetWindowDpiScale(); }
extern "C" ImVec2 _1_ImGui_GetWindowPos_() { return ::ImGui::GetWindowPos(); }
extern "C" ImVec2 _1_ImGui_GetWindowSize_() { return ::ImGui::GetWindowSize(); }
extern "C" float _1_ImGui_GetWindowWidth_() { return ::ImGui::GetWindowWidth(); }
extern "C" float _1_ImGui_GetWindowHeight_() { return ::ImGui::GetWindowHeight(); }
extern "C" ImGuiViewport * _1_ImGui_GetWindowViewport_() { return ::ImGui::GetWindowViewport(); }
extern "C" void _1_ImGui_SetNextWindowPos_(const ImVec2 & pos, ImGuiCond cond, const ImVec2 & pivot) { ::ImGui::SetNextWindowPos(pos, cond, pivot); }
extern "C" void _1_ImGui_SetNextWindowSize_(const ImVec2 & size, ImGuiCond cond) { ::ImGui::SetNextWindowSize(size, cond); }
extern "C" void _1_ImGui_SetNextWindowSizeConstraints_(const ImVec2 & size_min, const ImVec2 & size_max, ImGuiSizeCallback custom_callback, void * custom_callback_data) { ::ImGui::SetNextWindowSizeConstraints(size_min, size_max, custom_callback, custom_callback_data); }
extern "C" void _1_ImGui_SetNextWindowContentSize_(const ImVec2 & size) { ::ImGui::SetNextWindowContentSize(size); }
extern "C" void _1_ImGui_SetNextWindowCollapsed_(bool collapsed, ImGuiCond cond) { ::ImGui::SetNextWindowCollapsed(collapsed, cond); }
extern "C" void _1_ImGui_SetNextWindowFocus_() { ::ImGui::SetNextWindowFocus(); }
extern "C" void _1_ImGui_SetNextWindowScroll_(const ImVec2 & scroll) { ::ImGui::SetNextWindowScroll(scroll); }
extern "C" void _1_ImGui_SetNextWindowBgAlpha_(float alpha) { ::ImGui::SetNextWindowBgAlpha(alpha); }
extern "C" void _1_ImGui_SetNextWindowViewport_(ImGuiID viewport_id) { ::ImGui::SetNextWindowViewport(viewport_id); }
extern "C" void _1_ImGui_SetWindowPos_(const ImVec2 & pos, ImGuiCond cond) { ::ImGui::SetWindowPos(pos, cond); }
extern "C" void _1_ImGui_SetWindowSize_(const ImVec2 & size, ImGuiCond cond) { ::ImGui::SetWindowSize(size, cond); }
extern "C" void _1_ImGui_SetWindowCollapsed_(bool collapsed, ImGuiCond cond) { ::ImGui::SetWindowCollapsed(collapsed, cond); }
extern "C" void _1_ImGui_SetWindowFocus_() { ::ImGui::SetWindowFocus(); }
extern "C" void _1_ImGui_SetWindowFontScale_(float scale) { ::ImGui::SetWindowFontScale(scale); }
extern "C" void _2_ImGui_SetWindowPos_(const char * name, const ImVec2 & pos, ImGuiCond cond) { ::ImGui::SetWindowPos(name, pos, cond); }
extern "C" void _2_ImGui_SetWindowSize_(const char * name, const ImVec2 & size, ImGuiCond cond) { ::ImGui::SetWindowSize(name, size, cond); }
extern "C" void _2_ImGui_SetWindowCollapsed_(const char * name, bool collapsed, ImGuiCond cond) { ::ImGui::SetWindowCollapsed(name, collapsed, cond); }
extern "C" void _2_ImGui_SetWindowFocus_(const char * name) { ::ImGui::SetWindowFocus(name); }
extern "C" ImVec2 _1_ImGui_GetContentRegionAvail_() { return ::ImGui::GetContentRegionAvail(); }
extern "C" ImVec2 _1_ImGui_GetContentRegionMax_() { return ::ImGui::GetContentRegionMax(); }
extern "C" ImVec2 _1_ImGui_GetWindowContentRegionMin_() { return ::ImGui::GetWindowContentRegionMin(); }
extern "C" ImVec2 _1_ImGui_GetWindowContentRegionMax_() { return ::ImGui::GetWindowContentRegionMax(); }
extern "C" float _1_ImGui_GetScrollX_() { return ::ImGui::GetScrollX(); }
extern "C" float _1_ImGui_GetScrollY_() { return ::ImGui::GetScrollY(); }
extern "C" void _1_ImGui_SetScrollX_(float scroll_x) { ::ImGui::SetScrollX(scroll_x); }
extern "C" void _1_ImGui_SetScrollY_(float scroll_y) { ::ImGui::SetScrollY(scroll_y); }
extern "C" float _1_ImGui_GetScrollMaxX_() { return ::ImGui::GetScrollMaxX(); }
extern "C" float _1_ImGui_GetScrollMaxY_() { return ::ImGui::GetScrollMaxY(); }
extern "C" void _1_ImGui_SetScrollHereX_(float center_x_ratio) { ::ImGui::SetScrollHereX(center_x_ratio); }
extern "C" void _1_ImGui_SetScrollHereY_(float center_y_ratio) { ::ImGui::SetScrollHereY(center_y_ratio); }
extern "C" void _1_ImGui_SetScrollFromPosX_(float local_x, float center_x_ratio) { ::ImGui::SetScrollFromPosX(local_x, center_x_ratio); }
extern "C" void _1_ImGui_SetScrollFromPosY_(float local_y, float center_y_ratio) { ::ImGui::SetScrollFromPosY(local_y, center_y_ratio); }
extern "C" void _1_ImGui_PushFont_(ImFont * font) { ::ImGui::PushFont(font); }
extern "C" void _1_ImGui_PopFont_() { ::ImGui::PopFont(); }
extern "C" void _1_ImGui_PushStyleColor_(ImGuiCol idx, ImU32 col) { ::ImGui::PushStyleColor(idx, col); }
extern "C" void _2_ImGui_PushStyleColor_(ImGuiCol idx, const ImVec4 & col) { ::ImGui::PushStyleColor(idx, col); }
extern "C" void _1_ImGui_PopStyleColor_(int count) { ::ImGui::PopStyleColor(count); }
extern "C" void _1_ImGui_PushStyleVar_(ImGuiStyleVar idx, float val) { ::ImGui::PushStyleVar(idx, val); }
extern "C" void _2_ImGui_PushStyleVar_(ImGuiStyleVar idx, const ImVec2 & val) { ::ImGui::PushStyleVar(idx, val); }
extern "C" void _1_ImGui_PopStyleVar_(int count) { ::ImGui::PopStyleVar(count); }
extern "C" void _1_ImGui_PushTabStop_(bool tab_stop) { ::ImGui::PushTabStop(tab_stop); }
extern "C" void _1_ImGui_PopTabStop_() { ::ImGui::PopTabStop(); }
extern "C" void _1_ImGui_PushButtonRepeat_(bool repeat) { ::ImGui::PushButtonRepeat(repeat); }
extern "C" void _1_ImGui_PopButtonRepeat_() { ::ImGui::PopButtonRepeat(); }
extern "C" void _1_ImGui_PushItemWidth_(float item_width) { ::ImGui::PushItemWidth(item_width); }
extern "C" void _1_ImGui_PopItemWidth_() { ::ImGui::PopItemWidth(); }
extern "C" void _1_ImGui_SetNextItemWidth_(float item_width) { ::ImGui::SetNextItemWidth(item_width); }
extern "C" float _1_ImGui_CalcItemWidth_() { return ::ImGui::CalcItemWidth(); }
extern "C" void _1_ImGui_PushTextWrapPos_(float wrap_local_pos_x) { ::ImGui::PushTextWrapPos(wrap_local_pos_x); }
extern "C" void _1_ImGui_PopTextWrapPos_() { ::ImGui::PopTextWrapPos(); }
extern "C" ImFont * _1_ImGui_GetFont_() { return ::ImGui::GetFont(); }
extern "C" float _1_ImGui_GetFontSize_() { return ::ImGui::GetFontSize(); }
extern "C" ImVec2 _1_ImGui_GetFontTexUvWhitePixel_() { return ::ImGui::GetFontTexUvWhitePixel(); }
extern "C" ImU32 _1_ImGui_GetColorU32_(ImGuiCol idx, float alpha_mul) { return ::ImGui::GetColorU32(idx, alpha_mul); }
extern "C" ImU32 _2_ImGui_GetColorU32_(const ImVec4 & col) { return ::ImGui::GetColorU32(col); }
extern "C" ImU32 _3_ImGui_GetColorU32_(ImU32 col) { return ::ImGui::GetColorU32(col); }
extern "C" const ImVec4 & _1_ImGui_GetStyleColorVec4_(ImGuiCol idx) { return ::ImGui::GetStyleColorVec4(idx); }
extern "C" void _1_ImGui_Separator_() { ::ImGui::Separator(); }
extern "C" void _1_ImGui_SameLine_(float offset_from_start_x, float spacing) { ::ImGui::SameLine(offset_from_start_x, spacing); }
extern "C" void _1_ImGui_NewLine_() { ::ImGui::NewLine(); }
extern "C" void _1_ImGui_Spacing_() { ::ImGui::Spacing(); }
extern "C" void _1_ImGui_Dummy_(const ImVec2 & size) { ::ImGui::Dummy(size); }
extern "C" void _1_ImGui_Indent_(float indent_w) { ::ImGui::Indent(indent_w); }
extern "C" void _1_ImGui_Unindent_(float indent_w) { ::ImGui::Unindent(indent_w); }
extern "C" void _1_ImGui_BeginGroup_() { ::ImGui::BeginGroup(); }
extern "C" void _1_ImGui_EndGroup_() { ::ImGui::EndGroup(); }
extern "C" ImVec2 _1_ImGui_GetCursorPos_() { return ::ImGui::GetCursorPos(); }
extern "C" float _1_ImGui_GetCursorPosX_() { return ::ImGui::GetCursorPosX(); }
extern "C" float _1_ImGui_GetCursorPosY_() { return ::ImGui::GetCursorPosY(); }
extern "C" void _1_ImGui_SetCursorPos_(const ImVec2 & local_pos) { ::ImGui::SetCursorPos(local_pos); }
extern "C" void _1_ImGui_SetCursorPosX_(float local_x) { ::ImGui::SetCursorPosX(local_x); }
extern "C" void _1_ImGui_SetCursorPosY_(float local_y) { ::ImGui::SetCursorPosY(local_y); }
extern "C" ImVec2 _1_ImGui_GetCursorStartPos_() { return ::ImGui::GetCursorStartPos(); }
extern "C" ImVec2 _1_ImGui_GetCursorScreenPos_() { return ::ImGui::GetCursorScreenPos(); }
extern "C" void _1_ImGui_SetCursorScreenPos_(const ImVec2 & pos) { ::ImGui::SetCursorScreenPos(pos); }
extern "C" void _1_ImGui_AlignTextToFramePadding_() { ::ImGui::AlignTextToFramePadding(); }
extern "C" float _1_ImGui_GetTextLineHeight_() { return ::ImGui::GetTextLineHeight(); }
extern "C" float _1_ImGui_GetTextLineHeightWithSpacing_() { return ::ImGui::GetTextLineHeightWithSpacing(); }
extern "C" float _1_ImGui_GetFrameHeight_() { return ::ImGui::GetFrameHeight(); }
extern "C" float _1_ImGui_GetFrameHeightWithSpacing_() { return ::ImGui::GetFrameHeightWithSpacing(); }
extern "C" void _1_ImGui_PushID_(const char * str_id) { ::ImGui::PushID(str_id); }
extern "C" void _2_ImGui_PushID_(const char * str_id_begin, const char * str_id_end) { ::ImGui::PushID(str_id_begin, str_id_end); }
extern "C" void _3_ImGui_PushID_(const void * ptr_id) { ::ImGui::PushID(ptr_id); }
extern "C" void _4_ImGui_PushID_(int int_id) { ::ImGui::PushID(int_id); }
extern "C" void _1_ImGui_PopID_() { ::ImGui::PopID(); }
extern "C" ImGuiID _1_ImGui_GetID_(const char * str_id) { return ::ImGui::GetID(str_id); }
extern "C" ImGuiID _2_ImGui_GetID_(const char * str_id_begin, const char * str_id_end) { return ::ImGui::GetID(str_id_begin, str_id_end); }
extern "C" ImGuiID _3_ImGui_GetID_(const void * ptr_id) { return ::ImGui::GetID(ptr_id); }
extern "C" void _1_ImGui_TextUnformatted_(const char * text, const char * text_end) { ::ImGui::TextUnformatted(text, text_end); }
extern "C" void _1_ImGui_TextV_(const char * fmt, char * args) { ::ImGui::TextV(fmt, args); }
extern "C" void _1_ImGui_TextColoredV_(const ImVec4 & col, const char * fmt, char * args) { ::ImGui::TextColoredV(col, fmt, args); }
extern "C" void _1_ImGui_TextDisabledV_(const char * fmt, char * args) { ::ImGui::TextDisabledV(fmt, args); }
extern "C" void _1_ImGui_TextWrappedV_(const char * fmt, char * args) { ::ImGui::TextWrappedV(fmt, args); }
extern "C" void _1_ImGui_LabelTextV_(const char * label, const char * fmt, char * args) { ::ImGui::LabelTextV(label, fmt, args); }
extern "C" void _1_ImGui_BulletTextV_(const char * fmt, char * args) { ::ImGui::BulletTextV(fmt, args); }
extern "C" void _1_ImGui_SeparatorText_(const char * label) { ::ImGui::SeparatorText(label); }
extern "C" bool _1_ImGui_Button_(const char * label, const ImVec2 & size) { return ::ImGui::Button(label, size); }
extern "C" bool _1_ImGui_SmallButton_(const char * label) { return ::ImGui::SmallButton(label); }
extern "C" bool _1_ImGui_InvisibleButton_(const char * str_id, const ImVec2 & size, ImGuiButtonFlags flags) { return ::ImGui::InvisibleButton(str_id, size, flags); }
extern "C" bool _1_ImGui_ArrowButton_(const char * str_id, ImGuiDir dir) { return ::ImGui::ArrowButton(str_id, dir); }
extern "C" bool _1_ImGui_Checkbox_(const char * label, bool * v) { return ::ImGui::Checkbox(label, v); }
extern "C" bool _1_ImGui_CheckboxFlags_(const char * label, int * flags, int flags_value) { return ::ImGui::CheckboxFlags(label, flags, flags_value); }
extern "C" bool _2_ImGui_CheckboxFlags_(const char * label, unsigned int * flags, unsigned int flags_value) { return ::ImGui::CheckboxFlags(label, flags, flags_value); }
extern "C" bool _1_ImGui_RadioButton_(const char * label, bool active) { return ::ImGui::RadioButton(label, active); }
extern "C" bool _2_ImGui_RadioButton_(const char * label, int * v, int v_button) { return ::ImGui::RadioButton(label, v, v_button); }
extern "C" void _1_ImGui_ProgressBar_(float fraction, const ImVec2 & size_arg, const char * overlay) { ::ImGui::ProgressBar(fraction, size_arg, overlay); }
extern "C" void _1_ImGui_Bullet_() { ::ImGui::Bullet(); }
extern "C" void _1_ImGui_Image_(ImTextureID user_texture_id, const ImVec2 & size, const ImVec2 & uv0, const ImVec2 & uv1, const ImVec4 & tint_col, const ImVec4 & border_col) { ::ImGui::Image(user_texture_id, size, uv0, uv1, tint_col, border_col); }
extern "C" bool _1_ImGui_ImageButton_(const char * str_id, ImTextureID user_texture_id, const ImVec2 & size, const ImVec2 & uv0, const ImVec2 & uv1, const ImVec4 & bg_col, const ImVec4 & tint_col) { return ::ImGui::ImageButton(str_id, user_texture_id, size, uv0, uv1, bg_col, tint_col); }
extern "C" bool _1_ImGui_BeginCombo_(const char * label, const char * preview_value, ImGuiComboFlags flags) { return ::ImGui::BeginCombo(label, preview_value, flags); }
extern "C" void _1_ImGui_EndCombo_() { ::ImGui::EndCombo(); }
extern "C" bool _1_ImGui_Combo_(const char * label, int * current_item, const char *const * items, int items_count, int popup_max_height_in_items) { return ::ImGui::Combo(label, current_item, items, items_count, popup_max_height_in_items); }
extern "C" bool _2_ImGui_Combo_(const char * label, int * current_item, const char * items_separated_by_zeros, int popup_max_height_in_items) { return ::ImGui::Combo(label, current_item, items_separated_by_zeros, popup_max_height_in_items); }
extern "C" bool _3_ImGui_Combo_(const char * label, int * current_item, bool (*items_getter)(void *, int, const char **), void * data, int items_count, int popup_max_height_in_items) { return ::ImGui::Combo(label, current_item, items_getter, data, items_count, popup_max_height_in_items); }
extern "C" bool _1_ImGui_DragFloat_(const char * label, float * v, float v_speed, float v_min, float v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::DragFloat(label, v, v_speed, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_DragFloat2_(const char * label, float * v, float v_speed, float v_min, float v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::DragFloat2(label, v, v_speed, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_DragFloat3_(const char * label, float * v, float v_speed, float v_min, float v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::DragFloat3(label, v, v_speed, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_DragFloat4_(const char * label, float * v, float v_speed, float v_min, float v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::DragFloat4(label, v, v_speed, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_DragFloatRange2_(const char * label, float * v_current_min, float * v_current_max, float v_speed, float v_min, float v_max, const char * format, const char * format_max, ImGuiSliderFlags flags) { return ::ImGui::DragFloatRange2(label, v_current_min, v_current_max, v_speed, v_min, v_max, format, format_max, flags); }
extern "C" bool _1_ImGui_DragInt_(const char * label, int * v, float v_speed, int v_min, int v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::DragInt(label, v, v_speed, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_DragInt2_(const char * label, int * v, float v_speed, int v_min, int v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::DragInt2(label, v, v_speed, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_DragInt3_(const char * label, int * v, float v_speed, int v_min, int v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::DragInt3(label, v, v_speed, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_DragInt4_(const char * label, int * v, float v_speed, int v_min, int v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::DragInt4(label, v, v_speed, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_DragIntRange2_(const char * label, int * v_current_min, int * v_current_max, float v_speed, int v_min, int v_max, const char * format, const char * format_max, ImGuiSliderFlags flags) { return ::ImGui::DragIntRange2(label, v_current_min, v_current_max, v_speed, v_min, v_max, format, format_max, flags); }
extern "C" bool _1_ImGui_DragScalar_(const char * label, ImGuiDataType data_type, void * p_data, float v_speed, const void * p_min, const void * p_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::DragScalar(label, data_type, p_data, v_speed, p_min, p_max, format, flags); }
extern "C" bool _1_ImGui_DragScalarN_(const char * label, ImGuiDataType data_type, void * p_data, int components, float v_speed, const void * p_min, const void * p_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::DragScalarN(label, data_type, p_data, components, v_speed, p_min, p_max, format, flags); }
extern "C" bool _1_ImGui_SliderFloat_(const char * label, float * v, float v_min, float v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::SliderFloat(label, v, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_SliderFloat2_(const char * label, float * v, float v_min, float v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::SliderFloat2(label, v, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_SliderFloat3_(const char * label, float * v, float v_min, float v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::SliderFloat3(label, v, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_SliderFloat4_(const char * label, float * v, float v_min, float v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::SliderFloat4(label, v, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_SliderAngle_(const char * label, float * v_rad, float v_degrees_min, float v_degrees_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::SliderAngle(label, v_rad, v_degrees_min, v_degrees_max, format, flags); }
extern "C" bool _1_ImGui_SliderInt_(const char * label, int * v, int v_min, int v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::SliderInt(label, v, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_SliderInt2_(const char * label, int * v, int v_min, int v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::SliderInt2(label, v, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_SliderInt3_(const char * label, int * v, int v_min, int v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::SliderInt3(label, v, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_SliderInt4_(const char * label, int * v, int v_min, int v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::SliderInt4(label, v, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_SliderScalar_(const char * label, ImGuiDataType data_type, void * p_data, const void * p_min, const void * p_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::SliderScalar(label, data_type, p_data, p_min, p_max, format, flags); }
extern "C" bool _1_ImGui_SliderScalarN_(const char * label, ImGuiDataType data_type, void * p_data, int components, const void * p_min, const void * p_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::SliderScalarN(label, data_type, p_data, components, p_min, p_max, format, flags); }
extern "C" bool _1_ImGui_VSliderFloat_(const char * label, const ImVec2 & size, float * v, float v_min, float v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::VSliderFloat(label, size, v, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_VSliderInt_(const char * label, const ImVec2 & size, int * v, int v_min, int v_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::VSliderInt(label, size, v, v_min, v_max, format, flags); }
extern "C" bool _1_ImGui_VSliderScalar_(const char * label, const ImVec2 & size, ImGuiDataType data_type, void * p_data, const void * p_min, const void * p_max, const char * format, ImGuiSliderFlags flags) { return ::ImGui::VSliderScalar(label, size, data_type, p_data, p_min, p_max, format, flags); }
extern "C" bool _1_ImGui_InputText_(const char * label, char * buf, size_t buf_size, ImGuiInputTextFlags flags, ImGuiInputTextCallback callback, void * user_data) { return ::ImGui::InputText(label, buf, buf_size, flags, callback, user_data); }
extern "C" bool _1_ImGui_InputTextMultiline_(const char * label, char * buf, size_t buf_size, const ImVec2 & size, ImGuiInputTextFlags flags, ImGuiInputTextCallback callback, void * user_data) { return ::ImGui::InputTextMultiline(label, buf, buf_size, size, flags, callback, user_data); }
extern "C" bool _1_ImGui_InputTextWithHint_(const char * label, const char * hint, char * buf, size_t buf_size, ImGuiInputTextFlags flags, ImGuiInputTextCallback callback, void * user_data) { return ::ImGui::InputTextWithHint(label, hint, buf, buf_size, flags, callback, user_data); }
extern "C" bool _1_ImGui_InputFloat_(const char * label, float * v, float step, float step_fast, const char * format, ImGuiInputTextFlags flags) { return ::ImGui::InputFloat(label, v, step, step_fast, format, flags); }
extern "C" bool _1_ImGui_InputFloat2_(const char * label, float * v, const char * format, ImGuiInputTextFlags flags) { return ::ImGui::InputFloat2(label, v, format, flags); }
extern "C" bool _1_ImGui_InputFloat3_(const char * label, float * v, const char * format, ImGuiInputTextFlags flags) { return ::ImGui::InputFloat3(label, v, format, flags); }
extern "C" bool _1_ImGui_InputFloat4_(const char * label, float * v, const char * format, ImGuiInputTextFlags flags) { return ::ImGui::InputFloat4(label, v, format, flags); }
extern "C" bool _1_ImGui_InputInt_(const char * label, int * v, int step, int step_fast, ImGuiInputTextFlags flags) { return ::ImGui::InputInt(label, v, step, step_fast, flags); }
extern "C" bool _1_ImGui_InputInt2_(const char * label, int * v, ImGuiInputTextFlags flags) { return ::ImGui::InputInt2(label, v, flags); }
extern "C" bool _1_ImGui_InputInt3_(const char * label, int * v, ImGuiInputTextFlags flags) { return ::ImGui::InputInt3(label, v, flags); }
extern "C" bool _1_ImGui_InputInt4_(const char * label, int * v, ImGuiInputTextFlags flags) { return ::ImGui::InputInt4(label, v, flags); }
extern "C" bool _1_ImGui_InputDouble_(const char * label, double * v, double step, double step_fast, const char * format, ImGuiInputTextFlags flags) { return ::ImGui::InputDouble(label, v, step, step_fast, format, flags); }
extern "C" bool _1_ImGui_InputScalar_(const char * label, ImGuiDataType data_type, void * p_data, const void * p_step, const void * p_step_fast, const char * format, ImGuiInputTextFlags flags) { return ::ImGui::InputScalar(label, data_type, p_data, p_step, p_step_fast, format, flags); }
extern "C" bool _1_ImGui_InputScalarN_(const char * label, ImGuiDataType data_type, void * p_data, int components, const void * p_step, const void * p_step_fast, const char * format, ImGuiInputTextFlags flags) { return ::ImGui::InputScalarN(label, data_type, p_data, components, p_step, p_step_fast, format, flags); }
extern "C" bool _1_ImGui_ColorEdit3_(const char * label, float * col, ImGuiColorEditFlags flags) { return ::ImGui::ColorEdit3(label, col, flags); }
extern "C" bool _1_ImGui_ColorEdit4_(const char * label, float * col, ImGuiColorEditFlags flags) { return ::ImGui::ColorEdit4(label, col, flags); }
extern "C" bool _1_ImGui_ColorPicker3_(const char * label, float * col, ImGuiColorEditFlags flags) { return ::ImGui::ColorPicker3(label, col, flags); }
extern "C" bool _1_ImGui_ColorPicker4_(const char * label, float * col, ImGuiColorEditFlags flags, const float * ref_col) { return ::ImGui::ColorPicker4(label, col, flags, ref_col); }
extern "C" bool _1_ImGui_ColorButton_(const char * desc_id, const ImVec4 & col, ImGuiColorEditFlags flags, const ImVec2 & size) { return ::ImGui::ColorButton(desc_id, col, flags, size); }
extern "C" void _1_ImGui_SetColorEditOptions_(ImGuiColorEditFlags flags) { ::ImGui::SetColorEditOptions(flags); }
extern "C" bool _1_ImGui_TreeNode_(const char * label) { return ::ImGui::TreeNode(label); }
extern "C" bool _1_ImGui_TreeNodeV_(const char * str_id, const char * fmt, char * args) { return ::ImGui::TreeNodeV(str_id, fmt, args); }
extern "C" bool _2_ImGui_TreeNodeV_(const void * ptr_id, const char * fmt, char * args) { return ::ImGui::TreeNodeV(ptr_id, fmt, args); }
extern "C" bool _1_ImGui_TreeNodeEx_(const char * label, ImGuiTreeNodeFlags flags) { return ::ImGui::TreeNodeEx(label, flags); }
extern "C" bool _1_ImGui_TreeNodeExV_(const char * str_id, ImGuiTreeNodeFlags flags, const char * fmt, char * args) { return ::ImGui::TreeNodeExV(str_id, flags, fmt, args); }
extern "C" bool _2_ImGui_TreeNodeExV_(const void * ptr_id, ImGuiTreeNodeFlags flags, const char * fmt, char * args) { return ::ImGui::TreeNodeExV(ptr_id, flags, fmt, args); }
extern "C" void _1_ImGui_TreePush_(const char * str_id) { ::ImGui::TreePush(str_id); }
extern "C" void _2_ImGui_TreePush_(const void * ptr_id) { ::ImGui::TreePush(ptr_id); }
extern "C" void _1_ImGui_TreePop_() { ::ImGui::TreePop(); }
extern "C" float _1_ImGui_GetTreeNodeToLabelSpacing_() { return ::ImGui::GetTreeNodeToLabelSpacing(); }
extern "C" bool _1_ImGui_CollapsingHeader_(const char * label, ImGuiTreeNodeFlags flags) { return ::ImGui::CollapsingHeader(label, flags); }
extern "C" bool _2_ImGui_CollapsingHeader_(const char * label, bool * p_visible, ImGuiTreeNodeFlags flags) { return ::ImGui::CollapsingHeader(label, p_visible, flags); }
extern "C" void _1_ImGui_SetNextItemOpen_(bool is_open, ImGuiCond cond) { ::ImGui::SetNextItemOpen(is_open, cond); }
extern "C" bool _1_ImGui_Selectable_(const char * label, bool selected, ImGuiSelectableFlags flags, const ImVec2 & size) { return ::ImGui::Selectable(label, selected, flags, size); }
extern "C" bool _2_ImGui_Selectable_(const char * label, bool * p_selected, ImGuiSelectableFlags flags, const ImVec2 & size) { return ::ImGui::Selectable(label, p_selected, flags, size); }
extern "C" bool _1_ImGui_BeginListBox_(const char * label, const ImVec2 & size) { return ::ImGui::BeginListBox(label, size); }
extern "C" void _1_ImGui_EndListBox_() { ::ImGui::EndListBox(); }
extern "C" bool _1_ImGui_ListBox_(const char * label, int * current_item, const char *const * items, int items_count, int height_in_items) { return ::ImGui::ListBox(label, current_item, items, items_count, height_in_items); }
extern "C" bool _2_ImGui_ListBox_(const char * label, int * current_item, bool (*items_getter)(void *, int, const char **), void * data, int items_count, int height_in_items) { return ::ImGui::ListBox(label, current_item, items_getter, data, items_count, height_in_items); }
extern "C" void _1_ImGui_PlotLines_(const char * label, const float * values, int values_count, int values_offset, const char * overlay_text, float scale_min, float scale_max, ImVec2 graph_size, int stride) { ::ImGui::PlotLines(label, values, values_count, values_offset, overlay_text, scale_min, scale_max, graph_size, stride); }
extern "C" void _2_ImGui_PlotLines_(const char * label, float (*values_getter)(void *, int), void * data, int values_count, int values_offset, const char * overlay_text, float scale_min, float scale_max, ImVec2 graph_size) { ::ImGui::PlotLines(label, values_getter, data, values_count, values_offset, overlay_text, scale_min, scale_max, graph_size); }
extern "C" void _1_ImGui_PlotHistogram_(const char * label, const float * values, int values_count, int values_offset, const char * overlay_text, float scale_min, float scale_max, ImVec2 graph_size, int stride) { ::ImGui::PlotHistogram(label, values, values_count, values_offset, overlay_text, scale_min, scale_max, graph_size, stride); }
extern "C" void _2_ImGui_PlotHistogram_(const char * label, float (*values_getter)(void *, int), void * data, int values_count, int values_offset, const char * overlay_text, float scale_min, float scale_max, ImVec2 graph_size) { ::ImGui::PlotHistogram(label, values_getter, data, values_count, values_offset, overlay_text, scale_min, scale_max, graph_size); }
extern "C" void _1_ImGui_Value_(const char * prefix, bool b) { ::ImGui::Value(prefix, b); }
extern "C" void _2_ImGui_Value_(const char * prefix, int v) { ::ImGui::Value(prefix, v); }
extern "C" void _3_ImGui_Value_(const char * prefix, unsigned int v) { ::ImGui::Value(prefix, v); }
extern "C" void _4_ImGui_Value_(const char * prefix, float v, const char * float_format) { ::ImGui::Value(prefix, v, float_format); }
extern "C" bool _1_ImGui_BeginMenuBar_() { return ::ImGui::BeginMenuBar(); }
extern "C" void _1_ImGui_EndMenuBar_() { ::ImGui::EndMenuBar(); }
extern "C" bool _1_ImGui_BeginMainMenuBar_() { return ::ImGui::BeginMainMenuBar(); }
extern "C" void _1_ImGui_EndMainMenuBar_() { ::ImGui::EndMainMenuBar(); }
extern "C" bool _1_ImGui_BeginMenu_(const char * label, bool enabled) { return ::ImGui::BeginMenu(label, enabled); }
extern "C" void _1_ImGui_EndMenu_() { ::ImGui::EndMenu(); }
extern "C" bool _1_ImGui_MenuItem_(const char * label, const char * shortcut, bool selected, bool enabled) { return ::ImGui::MenuItem(label, shortcut, selected, enabled); }
extern "C" bool _2_ImGui_MenuItem_(const char * label, const char * shortcut, bool * p_selected, bool enabled) { return ::ImGui::MenuItem(label, shortcut, p_selected, enabled); }
extern "C" bool _1_ImGui_BeginTooltip_() { return ::ImGui::BeginTooltip(); }
extern "C" void _1_ImGui_EndTooltip_() { ::ImGui::EndTooltip(); }
extern "C" void _1_ImGui_SetTooltipV_(const char * fmt, char * args) { ::ImGui::SetTooltipV(fmt, args); }
extern "C" bool _1_ImGui_BeginPopup_(const char * str_id, ImGuiWindowFlags flags) { return ::ImGui::BeginPopup(str_id, flags); }
extern "C" bool _1_ImGui_BeginPopupModal_(const char * name, bool * p_open, ImGuiWindowFlags flags) { return ::ImGui::BeginPopupModal(name, p_open, flags); }
extern "C" void _1_ImGui_EndPopup_() { ::ImGui::EndPopup(); }
extern "C" void _1_ImGui_OpenPopup_(const char * str_id, ImGuiPopupFlags popup_flags) { ::ImGui::OpenPopup(str_id, popup_flags); }
extern "C" void _2_ImGui_OpenPopup_(ImGuiID id, ImGuiPopupFlags popup_flags) { ::ImGui::OpenPopup(id, popup_flags); }
extern "C" void _1_ImGui_OpenPopupOnItemClick_(const char * str_id, ImGuiPopupFlags popup_flags) { ::ImGui::OpenPopupOnItemClick(str_id, popup_flags); }
extern "C" void _1_ImGui_CloseCurrentPopup_() { ::ImGui::CloseCurrentPopup(); }
extern "C" bool _1_ImGui_BeginPopupContextItem_(const char * str_id, ImGuiPopupFlags popup_flags) { return ::ImGui::BeginPopupContextItem(str_id, popup_flags); }
extern "C" bool _1_ImGui_BeginPopupContextWindow_(const char * str_id, ImGuiPopupFlags popup_flags) { return ::ImGui::BeginPopupContextWindow(str_id, popup_flags); }
extern "C" bool _1_ImGui_BeginPopupContextVoid_(const char * str_id, ImGuiPopupFlags popup_flags) { return ::ImGui::BeginPopupContextVoid(str_id, popup_flags); }
extern "C" bool _1_ImGui_IsPopupOpen_(const char * str_id, ImGuiPopupFlags flags) { return ::ImGui::IsPopupOpen(str_id, flags); }
extern "C" bool _1_ImGui_BeginTable_(const char * str_id, int column, ImGuiTableFlags flags, const ImVec2 & outer_size, float inner_width) { return ::ImGui::BeginTable(str_id, column, flags, outer_size, inner_width); }
extern "C" void _1_ImGui_EndTable_() { ::ImGui::EndTable(); }
extern "C" void _1_ImGui_TableNextRow_(ImGuiTableRowFlags row_flags, float min_row_height) { ::ImGui::TableNextRow(row_flags, min_row_height); }
extern "C" bool _1_ImGui_TableNextColumn_() { return ::ImGui::TableNextColumn(); }
extern "C" bool _1_ImGui_TableSetColumnIndex_(int column_n) { return ::ImGui::TableSetColumnIndex(column_n); }
extern "C" void _1_ImGui_TableSetupColumn_(const char * label, ImGuiTableColumnFlags flags, float init_width_or_weight, ImGuiID user_id) { ::ImGui::TableSetupColumn(label, flags, init_width_or_weight, user_id); }
extern "C" void _1_ImGui_TableSetupScrollFreeze_(int cols, int rows) { ::ImGui::TableSetupScrollFreeze(cols, rows); }
extern "C" void _1_ImGui_TableHeadersRow_() { ::ImGui::TableHeadersRow(); }
extern "C" void _1_ImGui_TableHeader_(const char * label) { ::ImGui::TableHeader(label); }
extern "C" ImGuiTableSortSpecs * _1_ImGui_TableGetSortSpecs_() { return ::ImGui::TableGetSortSpecs(); }
extern "C" int _1_ImGui_TableGetColumnCount_() { return ::ImGui::TableGetColumnCount(); }
extern "C" int _1_ImGui_TableGetColumnIndex_() { return ::ImGui::TableGetColumnIndex(); }
extern "C" int _1_ImGui_TableGetRowIndex_() { return ::ImGui::TableGetRowIndex(); }
extern "C" const char * _1_ImGui_TableGetColumnName_(int column_n) { return ::ImGui::TableGetColumnName(column_n); }
extern "C" ImGuiTableColumnFlags _1_ImGui_TableGetColumnFlags_(int column_n) { return ::ImGui::TableGetColumnFlags(column_n); }
extern "C" void _1_ImGui_TableSetColumnEnabled_(int column_n, bool v) { ::ImGui::TableSetColumnEnabled(column_n, v); }
extern "C" void _1_ImGui_TableSetBgColor_(ImGuiTableBgTarget target, ImU32 color, int column_n) { ::ImGui::TableSetBgColor(target, color, column_n); }
extern "C" void _1_ImGui_Columns_(int count, const char * id, bool border) { ::ImGui::Columns(count, id, border); }
extern "C" void _1_ImGui_NextColumn_() { ::ImGui::NextColumn(); }
extern "C" int _1_ImGui_GetColumnIndex_() { return ::ImGui::GetColumnIndex(); }
extern "C" float _1_ImGui_GetColumnWidth_(int column_index) { return ::ImGui::GetColumnWidth(column_index); }
extern "C" void _1_ImGui_SetColumnWidth_(int column_index, float width) { ::ImGui::SetColumnWidth(column_index, width); }
extern "C" float _1_ImGui_GetColumnOffset_(int column_index) { return ::ImGui::GetColumnOffset(column_index); }
extern "C" void _1_ImGui_SetColumnOffset_(int column_index, float offset_x) { ::ImGui::SetColumnOffset(column_index, offset_x); }
extern "C" int _1_ImGui_GetColumnsCount_() { return ::ImGui::GetColumnsCount(); }
extern "C" bool _1_ImGui_BeginTabBar_(const char * str_id, ImGuiTabBarFlags flags) { return ::ImGui::BeginTabBar(str_id, flags); }
extern "C" void _1_ImGui_EndTabBar_() { ::ImGui::EndTabBar(); }
extern "C" bool _1_ImGui_BeginTabItem_(const char * label, bool * p_open, ImGuiTabItemFlags flags) { return ::ImGui::BeginTabItem(label, p_open, flags); }
extern "C" void _1_ImGui_EndTabItem_() { ::ImGui::EndTabItem(); }
extern "C" bool _1_ImGui_TabItemButton_(const char * label, ImGuiTabItemFlags flags) { return ::ImGui::TabItemButton(label, flags); }
extern "C" void _1_ImGui_SetTabItemClosed_(const char * tab_or_docked_window_label) { ::ImGui::SetTabItemClosed(tab_or_docked_window_label); }
extern "C" ImGuiID _1_ImGui_DockSpace_(ImGuiID id, const ImVec2 & size, ImGuiDockNodeFlags flags, const ImGuiWindowClass * window_class) { return ::ImGui::DockSpace(id, size, flags, window_class); }
extern "C" ImGuiID _1_ImGui_DockSpaceOverViewport_(const ImGuiViewport * viewport, ImGuiDockNodeFlags flags, const ImGuiWindowClass * window_class) { return ::ImGui::DockSpaceOverViewport(viewport, flags, window_class); }
extern "C" void _1_ImGui_SetNextWindowDockID_(ImGuiID dock_id, ImGuiCond cond) { ::ImGui::SetNextWindowDockID(dock_id, cond); }
extern "C" void _1_ImGui_SetNextWindowClass_(const ImGuiWindowClass * window_class) { ::ImGui::SetNextWindowClass(window_class); }
extern "C" ImGuiID _1_ImGui_GetWindowDockID_() { return ::ImGui::GetWindowDockID(); }
extern "C" bool _1_ImGui_IsWindowDocked_() { return ::ImGui::IsWindowDocked(); }
extern "C" void _1_ImGui_LogToTTY_(int auto_open_depth) { ::ImGui::LogToTTY(auto_open_depth); }
extern "C" void _1_ImGui_LogToFile_(int auto_open_depth, const char * filename) { ::ImGui::LogToFile(auto_open_depth, filename); }
extern "C" void _1_ImGui_LogToClipboard_(int auto_open_depth) { ::ImGui::LogToClipboard(auto_open_depth); }
extern "C" void _1_ImGui_LogFinish_() { ::ImGui::LogFinish(); }
extern "C" void _1_ImGui_LogButtons_() { ::ImGui::LogButtons(); }
extern "C" void _1_ImGui_LogTextV_(const char * fmt, char * args) { ::ImGui::LogTextV(fmt, args); }
extern "C" bool _1_ImGui_BeginDragDropSource_(ImGuiDragDropFlags flags) { return ::ImGui::BeginDragDropSource(flags); }
extern "C" bool _1_ImGui_SetDragDropPayload_(const char * type, const void * data, size_t sz, ImGuiCond cond) { return ::ImGui::SetDragDropPayload(type, data, sz, cond); }
extern "C" void _1_ImGui_EndDragDropSource_() { ::ImGui::EndDragDropSource(); }
extern "C" bool _1_ImGui_BeginDragDropTarget_() { return ::ImGui::BeginDragDropTarget(); }
extern "C" const ImGuiPayload * _1_ImGui_AcceptDragDropPayload_(const char * type, ImGuiDragDropFlags flags) { return ::ImGui::AcceptDragDropPayload(type, flags); }
extern "C" void _1_ImGui_EndDragDropTarget_() { ::ImGui::EndDragDropTarget(); }
extern "C" const ImGuiPayload * _1_ImGui_GetDragDropPayload_() { return ::ImGui::GetDragDropPayload(); }
extern "C" void _1_ImGui_BeginDisabled_(bool disabled) { ::ImGui::BeginDisabled(disabled); }
extern "C" void _1_ImGui_EndDisabled_() { ::ImGui::EndDisabled(); }
extern "C" void _1_ImGui_PushClipRect_(const ImVec2 & clip_rect_min, const ImVec2 & clip_rect_max, bool intersect_with_current_clip_rect) { ::ImGui::PushClipRect(clip_rect_min, clip_rect_max, intersect_with_current_clip_rect); }
extern "C" void _1_ImGui_PopClipRect_() { ::ImGui::PopClipRect(); }
extern "C" void _1_ImGui_SetItemDefaultFocus_() { ::ImGui::SetItemDefaultFocus(); }
extern "C" void _1_ImGui_SetKeyboardFocusHere_(int offset) { ::ImGui::SetKeyboardFocusHere(offset); }
extern "C" bool _1_ImGui_IsItemHovered_(ImGuiHoveredFlags flags) { return ::ImGui::IsItemHovered(flags); }
extern "C" bool _1_ImGui_IsItemActive_() { return ::ImGui::IsItemActive(); }
extern "C" bool _1_ImGui_IsItemFocused_() { return ::ImGui::IsItemFocused(); }
extern "C" bool _1_ImGui_IsItemClicked_(ImGuiMouseButton mouse_button) { return ::ImGui::IsItemClicked(mouse_button); }
extern "C" bool _1_ImGui_IsItemVisible_() { return ::ImGui::IsItemVisible(); }
extern "C" bool _1_ImGui_IsItemEdited_() { return ::ImGui::IsItemEdited(); }
extern "C" bool _1_ImGui_IsItemActivated_() { return ::ImGui::IsItemActivated(); }
extern "C" bool _1_ImGui_IsItemDeactivated_() { return ::ImGui::IsItemDeactivated(); }
extern "C" bool _1_ImGui_IsItemDeactivatedAfterEdit_() { return ::ImGui::IsItemDeactivatedAfterEdit(); }
extern "C" bool _1_ImGui_IsItemToggledOpen_() { return ::ImGui::IsItemToggledOpen(); }
extern "C" bool _1_ImGui_IsAnyItemHovered_() { return ::ImGui::IsAnyItemHovered(); }
extern "C" bool _1_ImGui_IsAnyItemActive_() { return ::ImGui::IsAnyItemActive(); }
extern "C" bool _1_ImGui_IsAnyItemFocused_() { return ::ImGui::IsAnyItemFocused(); }
extern "C" ImGuiID _1_ImGui_GetItemID_() { return ::ImGui::GetItemID(); }
extern "C" ImVec2 _1_ImGui_GetItemRectMin_() { return ::ImGui::GetItemRectMin(); }
extern "C" ImVec2 _1_ImGui_GetItemRectMax_() { return ::ImGui::GetItemRectMax(); }
extern "C" ImVec2 _1_ImGui_GetItemRectSize_() { return ::ImGui::GetItemRectSize(); }
extern "C" void _1_ImGui_SetItemAllowOverlap_() { ::ImGui::SetItemAllowOverlap(); }
extern "C" ImGuiViewport * _1_ImGui_GetMainViewport_() { return ::ImGui::GetMainViewport(); }
extern "C" ImDrawList * _1_ImGui_GetBackgroundDrawList_() { return ::ImGui::GetBackgroundDrawList(); }
extern "C" ImDrawList * _1_ImGui_GetForegroundDrawList_() { return ::ImGui::GetForegroundDrawList(); }
extern "C" ImDrawList * _2_ImGui_GetBackgroundDrawList_(ImGuiViewport * viewport) { return ::ImGui::GetBackgroundDrawList(viewport); }
extern "C" ImDrawList * _2_ImGui_GetForegroundDrawList_(ImGuiViewport * viewport) { return ::ImGui::GetForegroundDrawList(viewport); }
extern "C" bool _1_ImGui_IsRectVisible_(const ImVec2 & size) { return ::ImGui::IsRectVisible(size); }
extern "C" bool _2_ImGui_IsRectVisible_(const ImVec2 & rect_min, const ImVec2 & rect_max) { return ::ImGui::IsRectVisible(rect_min, rect_max); }
extern "C" double _1_ImGui_GetTime_() { return ::ImGui::GetTime(); }
extern "C" int _1_ImGui_GetFrameCount_() { return ::ImGui::GetFrameCount(); }
extern "C" ImDrawListSharedData * _1_ImGui_GetDrawListSharedData_() { return ::ImGui::GetDrawListSharedData(); }
extern "C" const char * _1_ImGui_GetStyleColorName_(ImGuiCol idx) { return ::ImGui::GetStyleColorName(idx); }
extern "C" void _1_ImGui_SetStateStorage_(ImGuiStorage * storage) { ::ImGui::SetStateStorage(storage); }
extern "C" ImGuiStorage * _1_ImGui_GetStateStorage_() { return ::ImGui::GetStateStorage(); }
extern "C" bool _1_ImGui_BeginChildFrame_(ImGuiID id, const ImVec2 & size, ImGuiWindowFlags flags) { return ::ImGui::BeginChildFrame(id, size, flags); }
extern "C" void _1_ImGui_EndChildFrame_() { ::ImGui::EndChildFrame(); }
extern "C" ImVec2 _1_ImGui_CalcTextSize_(const char * text, const char * text_end, bool hide_text_after_double_hash, float wrap_width) { return ::ImGui::CalcTextSize(text, text_end, hide_text_after_double_hash, wrap_width); }
extern "C" ImVec4 _1_ImGui_ColorConvertU32ToFloat4_(ImU32 in) { return ::ImGui::ColorConvertU32ToFloat4(in); }
extern "C" ImU32 _1_ImGui_ColorConvertFloat4ToU32_(const ImVec4 & in) { return ::ImGui::ColorConvertFloat4ToU32(in); }
extern "C" void _1_ImGui_ColorConvertRGBtoHSV_(float r, float g, float b, float & out_h, float & out_s, float & out_v) { ::ImGui::ColorConvertRGBtoHSV(r, g, b, out_h, out_s, out_v); }
extern "C" void _1_ImGui_ColorConvertHSVtoRGB_(float h, float s, float v, float & out_r, float & out_g, float & out_b) { ::ImGui::ColorConvertHSVtoRGB(h, s, v, out_r, out_g, out_b); }
extern "C" bool _1_ImGui_IsKeyDown_(ImGuiKey key) { return ::ImGui::IsKeyDown(key); }
extern "C" bool _1_ImGui_IsKeyPressed_(ImGuiKey key, bool repeat) { return ::ImGui::IsKeyPressed(key, repeat); }
extern "C" bool _1_ImGui_IsKeyReleased_(ImGuiKey key) { return ::ImGui::IsKeyReleased(key); }
extern "C" int _1_ImGui_GetKeyPressedAmount_(ImGuiKey key, float repeat_delay, float rate) { return ::ImGui::GetKeyPressedAmount(key, repeat_delay, rate); }
extern "C" const char * _1_ImGui_GetKeyName_(ImGuiKey key) { return ::ImGui::GetKeyName(key); }
extern "C" void _1_ImGui_SetNextFrameWantCaptureKeyboard_(bool want_capture_keyboard) { ::ImGui::SetNextFrameWantCaptureKeyboard(want_capture_keyboard); }
extern "C" bool _1_ImGui_IsMouseDown_(ImGuiMouseButton button) { return ::ImGui::IsMouseDown(button); }
extern "C" bool _1_ImGui_IsMouseClicked_(ImGuiMouseButton button, bool repeat) { return ::ImGui::IsMouseClicked(button, repeat); }
extern "C" bool _1_ImGui_IsMouseReleased_(ImGuiMouseButton button) { return ::ImGui::IsMouseReleased(button); }
extern "C" bool _1_ImGui_IsMouseDoubleClicked_(ImGuiMouseButton button) { return ::ImGui::IsMouseDoubleClicked(button); }
extern "C" int _1_ImGui_GetMouseClickedCount_(ImGuiMouseButton button) { return ::ImGui::GetMouseClickedCount(button); }
extern "C" bool _1_ImGui_IsMouseHoveringRect_(const ImVec2 & r_min, const ImVec2 & r_max, bool clip) { return ::ImGui::IsMouseHoveringRect(r_min, r_max, clip); }
extern "C" bool _1_ImGui_IsMousePosValid_(const ImVec2 * mouse_pos) { return ::ImGui::IsMousePosValid(mouse_pos); }
extern "C" bool _1_ImGui_IsAnyMouseDown_() { return ::ImGui::IsAnyMouseDown(); }
extern "C" ImVec2 _1_ImGui_GetMousePos_() { return ::ImGui::GetMousePos(); }
extern "C" ImVec2 _1_ImGui_GetMousePosOnOpeningCurrentPopup_() { return ::ImGui::GetMousePosOnOpeningCurrentPopup(); }
extern "C" bool _1_ImGui_IsMouseDragging_(ImGuiMouseButton button, float lock_threshold) { return ::ImGui::IsMouseDragging(button, lock_threshold); }
extern "C" ImVec2 _1_ImGui_GetMouseDragDelta_(ImGuiMouseButton button, float lock_threshold) { return ::ImGui::GetMouseDragDelta(button, lock_threshold); }
extern "C" void _1_ImGui_ResetMouseDragDelta_(ImGuiMouseButton button) { ::ImGui::ResetMouseDragDelta(button); }
extern "C" ImGuiMouseCursor _1_ImGui_GetMouseCursor_() { return ::ImGui::GetMouseCursor(); }
extern "C" void _1_ImGui_SetMouseCursor_(ImGuiMouseCursor cursor_type) { ::ImGui::SetMouseCursor(cursor_type); }
extern "C" void _1_ImGui_SetNextFrameWantCaptureMouse_(bool want_capture_mouse) { ::ImGui::SetNextFrameWantCaptureMouse(want_capture_mouse); }
extern "C" const char * _1_ImGui_GetClipboardText_() { return ::ImGui::GetClipboardText(); }
extern "C" void _1_ImGui_SetClipboardText_(const char * text) { ::ImGui::SetClipboardText(text); }
extern "C" void _1_ImGui_LoadIniSettingsFromDisk_(const char * ini_filename) { ::ImGui::LoadIniSettingsFromDisk(ini_filename); }
extern "C" void _1_ImGui_LoadIniSettingsFromMemory_(const char * ini_data, size_t ini_size) { ::ImGui::LoadIniSettingsFromMemory(ini_data, ini_size); }
extern "C" void _1_ImGui_SaveIniSettingsToDisk_(const char * ini_filename) { ::ImGui::SaveIniSettingsToDisk(ini_filename); }
extern "C" const char * _1_ImGui_SaveIniSettingsToMemory_(size_t * out_ini_size) { return ::ImGui::SaveIniSettingsToMemory(out_ini_size); }
extern "C" void _1_ImGui_DebugTextEncoding_(const char * text) { ::ImGui::DebugTextEncoding(text); }
extern "C" bool _1_ImGui_DebugCheckVersionAndDataLayout_(const char * version_str, size_t sz_io, size_t sz_style, size_t sz_vec2, size_t sz_vec4, size_t sz_drawvert, size_t sz_drawidx) { return ::ImGui::DebugCheckVersionAndDataLayout(version_str, sz_io, sz_style, sz_vec2, sz_vec4, sz_drawvert, sz_drawidx); }
extern "C" void _1_ImGui_SetAllocatorFunctions_(ImGuiMemAllocFunc alloc_func, ImGuiMemFreeFunc free_func, void * user_data) { ::ImGui::SetAllocatorFunctions(alloc_func, free_func, user_data); }
extern "C" void _1_ImGui_GetAllocatorFunctions_(ImGuiMemAllocFunc * p_alloc_func, ImGuiMemFreeFunc * p_free_func, void ** p_user_data) { ::ImGui::GetAllocatorFunctions(p_alloc_func, p_free_func, p_user_data); }
extern "C" void * _1_ImGui_MemAlloc_(size_t size) { return ::ImGui::MemAlloc(size); }
extern "C" void _1_ImGui_MemFree_(void * ptr) { ::ImGui::MemFree(ptr); }
extern "C" ImGuiPlatformIO & _1_ImGui_GetPlatformIO_() { return ::ImGui::GetPlatformIO(); }
extern "C" void _1_ImGui_UpdatePlatformWindows_() { ::ImGui::UpdatePlatformWindows(); }
extern "C" void _1_ImGui_RenderPlatformWindowsDefault_(void * platform_render_arg, void * renderer_render_arg) { ::ImGui::RenderPlatformWindowsDefault(platform_render_arg, renderer_render_arg); }
extern "C" void _1_ImGui_DestroyPlatformWindows_() { ::ImGui::DestroyPlatformWindows(); }
extern "C" ImGuiViewport * _1_ImGui_FindViewportByID_(ImGuiID id) { return ::ImGui::FindViewportByID(id); }
extern "C" ImGuiViewport * _1_ImGui_FindViewportByPlatformHandle_(void * platform_handle) { return ::ImGui::FindViewportByPlatformHandle(platform_handle); }
extern "C" ::ImGuiStyle _1_ImGuiStyle_init_() { return ::ImGuiStyle(); }
extern "C" void _1_ImGuiStyle_ScaleAllSizes_(::ImGuiStyle* self, float scale_factor) { self->ScaleAllSizes(scale_factor); }
extern "C" void _1_ImGuiIO_AddKeyEvent_(::ImGuiIO* self, ImGuiKey key, bool down) { self->AddKeyEvent(key, down); }
extern "C" void _1_ImGuiIO_AddKeyAnalogEvent_(::ImGuiIO* self, ImGuiKey key, bool down, float v) { self->AddKeyAnalogEvent(key, down, v); }
extern "C" void _1_ImGuiIO_AddMousePosEvent_(::ImGuiIO* self, float x, float y) { self->AddMousePosEvent(x, y); }
extern "C" void _1_ImGuiIO_AddMouseButtonEvent_(::ImGuiIO* self, int button, bool down) { self->AddMouseButtonEvent(button, down); }
extern "C" void _1_ImGuiIO_AddMouseWheelEvent_(::ImGuiIO* self, float wheel_x, float wheel_y) { self->AddMouseWheelEvent(wheel_x, wheel_y); }
extern "C" void _1_ImGuiIO_AddMouseSourceEvent_(::ImGuiIO* self, ImGuiMouseSource source) { self->AddMouseSourceEvent(source); }
extern "C" void _1_ImGuiIO_AddMouseViewportEvent_(::ImGuiIO* self, ImGuiID id) { self->AddMouseViewportEvent(id); }
extern "C" void _1_ImGuiIO_AddFocusEvent_(::ImGuiIO* self, bool focused) { self->AddFocusEvent(focused); }
extern "C" void _1_ImGuiIO_AddInputCharacter_(::ImGuiIO* self, unsigned int c) { self->AddInputCharacter(c); }
extern "C" void _1_ImGuiIO_AddInputCharacterUTF16_(::ImGuiIO* self, ImWchar16 c) { self->AddInputCharacterUTF16(c); }
extern "C" void _1_ImGuiIO_AddInputCharactersUTF8_(::ImGuiIO* self, const char * str) { self->AddInputCharactersUTF8(str); }
extern "C" void _1_ImGuiIO_SetKeyEventNativeData_(::ImGuiIO* self, ImGuiKey key, int native_keycode, int native_scancode, int native_legacy_index) { self->SetKeyEventNativeData(key, native_keycode, native_scancode, native_legacy_index); }
extern "C" void _1_ImGuiIO_SetAppAcceptingEvents_(::ImGuiIO* self, bool accepting_events) { self->SetAppAcceptingEvents(accepting_events); }
extern "C" void _1_ImGuiIO_ClearInputCharacters_(::ImGuiIO* self) { self->ClearInputCharacters(); }
extern "C" void _1_ImGuiIO_ClearInputKeys_(::ImGuiIO* self) { self->ClearInputKeys(); }
extern "C" ::ImGuiIO _1_ImGuiIO_init_() { return ::ImGuiIO(); }
extern "C" ::ImGuiInputTextCallbackData _1_ImGuiInputTextCallbackData_init_() { return ::ImGuiInputTextCallbackData(); }
extern "C" void _1_ImGuiInputTextCallbackData_DeleteChars_(::ImGuiInputTextCallbackData* self, int pos, int bytes_count) { self->DeleteChars(pos, bytes_count); }
extern "C" void _1_ImGuiInputTextCallbackData_InsertChars_(::ImGuiInputTextCallbackData* self, int pos, const char * text, const char * text_end) { self->InsertChars(pos, text, text_end); }
extern "C" ::ImGuiWindowClass _1_ImGuiWindowClass_init_() { return ::ImGuiWindowClass(); }
extern "C" ::ImGuiPayload _1_ImGuiPayload_init_() { return ::ImGuiPayload(); }
extern "C" ::ImGuiTableColumnSortSpecs _1_ImGuiTableColumnSortSpecs_init_() { return ::ImGuiTableColumnSortSpecs(); }
extern "C" ::ImGuiTableSortSpecs _1_ImGuiTableSortSpecs_init_() { return ::ImGuiTableSortSpecs(); }
extern "C" ::ImGuiOnceUponAFrame _1_ImGuiOnceUponAFrame_init_() { return ::ImGuiOnceUponAFrame(); }
extern "C" ::ImGuiTextFilter _1_ImGuiTextFilter_init_(const char * default_filter) { return ::ImGuiTextFilter(default_filter); }
extern "C" bool _1_ImGuiTextFilter_Draw_(::ImGuiTextFilter* self, const char * label, float width) { return self->Draw(label, width); }
extern "C" bool _1_ImGuiTextFilter_PassFilter_(const ::ImGuiTextFilter *self, const char * text, const char * text_end) { return self->PassFilter(text, text_end); }
extern "C" void _1_ImGuiTextFilter_Build_(::ImGuiTextFilter* self) { self->Build(); }
extern "C" ::ImGuiTextFilter::ImGuiTextRange _1_ImGuiTextFilter_ImGuiTextRange_init_() { return ::ImGuiTextFilter::ImGuiTextRange(); }
extern "C" ::ImGuiTextFilter::ImGuiTextRange _2_ImGuiTextFilter_ImGuiTextRange_init_(const char * _b, const char * _e) { return ::ImGuiTextFilter::ImGuiTextRange(_b, _e); }
extern "C" void _1_ImGuiTextFilter_ImGuiTextRange_split_(const ::ImGuiTextFilter::ImGuiTextRange *self, char separator, ImVector<::ImGuiTextFilter::ImGuiTextRange> * out) { self->split(separator, out); }
extern "C" char* _1_ImGuiTextBuffer_EmptyString_() { return ::ImGuiTextBuffer::EmptyString; }
extern "C" ::ImGuiTextBuffer _1_ImGuiTextBuffer_init_() { return ::ImGuiTextBuffer(); }
extern "C" void _1_ImGuiTextBuffer_append_(::ImGuiTextBuffer* self, const char * str, const char * str_end) { self->append(str, str_end); }
extern "C" void _1_ImGuiTextBuffer_appendfv_(::ImGuiTextBuffer* self, const char * fmt, char * args) { self->appendfv(fmt, args); }
extern "C" ::ImGuiStorage::ImGuiStoragePair _1_ImGuiStorage_ImGuiStoragePair_init_(ImGuiID _key, int _val_i) { return ::ImGuiStorage::ImGuiStoragePair(_key, _val_i); }
extern "C" ::ImGuiStorage::ImGuiStoragePair _2_ImGuiStorage_ImGuiStoragePair_init_(ImGuiID _key, float _val_f) { return ::ImGuiStorage::ImGuiStoragePair(_key, _val_f); }
extern "C" ::ImGuiStorage::ImGuiStoragePair _3_ImGuiStorage_ImGuiStoragePair_init_(ImGuiID _key, void * _val_p) { return ::ImGuiStorage::ImGuiStoragePair(_key, _val_p); }
extern "C" int _1_ImGuiStorage_GetInt_(const ::ImGuiStorage *self, ImGuiID key, int default_val) { return self->GetInt(key, default_val); }
extern "C" void _1_ImGuiStorage_SetInt_(::ImGuiStorage* self, ImGuiID key, int val) { self->SetInt(key, val); }
extern "C" bool _1_ImGuiStorage_GetBool_(const ::ImGuiStorage *self, ImGuiID key, bool default_val) { return self->GetBool(key, default_val); }
extern "C" void _1_ImGuiStorage_SetBool_(::ImGuiStorage* self, ImGuiID key, bool val) { self->SetBool(key, val); }
extern "C" float _1_ImGuiStorage_GetFloat_(const ::ImGuiStorage *self, ImGuiID key, float default_val) { return self->GetFloat(key, default_val); }
extern "C" void _1_ImGuiStorage_SetFloat_(::ImGuiStorage* self, ImGuiID key, float val) { self->SetFloat(key, val); }
extern "C" void * _1_ImGuiStorage_GetVoidPtr_(const ::ImGuiStorage *self, ImGuiID key) { return self->GetVoidPtr(key); }
extern "C" void _1_ImGuiStorage_SetVoidPtr_(::ImGuiStorage* self, ImGuiID key, void * val) { self->SetVoidPtr(key, val); }
extern "C" int * _1_ImGuiStorage_GetIntRef_(::ImGuiStorage* self, ImGuiID key, int default_val) { return self->GetIntRef(key, default_val); }
extern "C" bool * _1_ImGuiStorage_GetBoolRef_(::ImGuiStorage* self, ImGuiID key, bool default_val) { return self->GetBoolRef(key, default_val); }
extern "C" float * _1_ImGuiStorage_GetFloatRef_(::ImGuiStorage* self, ImGuiID key, float default_val) { return self->GetFloatRef(key, default_val); }
extern "C" void ** _1_ImGuiStorage_GetVoidPtrRef_(::ImGuiStorage* self, ImGuiID key, void * default_val) { return self->GetVoidPtrRef(key, default_val); }
extern "C" void _1_ImGuiStorage_SetAllInt_(::ImGuiStorage* self, int val) { self->SetAllInt(val); }
extern "C" void _1_ImGuiStorage_BuildSortByKey_(::ImGuiStorage* self) { self->BuildSortByKey(); }
extern "C" ::ImGuiListClipper _1_ImGuiListClipper_init_() { return ::ImGuiListClipper(); }
extern "C" void _1_ImGuiListClipper_deinit_(::ImGuiListClipper *self) { self->~ImGuiListClipper(); }
extern "C" void _1_ImGuiListClipper_Begin_(::ImGuiListClipper* self, int items_count, float items_height) { self->Begin(items_count, items_height); }
extern "C" void _1_ImGuiListClipper_End_(::ImGuiListClipper* self) { self->End(); }
extern "C" bool _1_ImGuiListClipper_Step_(::ImGuiListClipper* self) { return self->Step(); }
extern "C" void _1_ImGuiListClipper_ForceDisplayRangeByIndices_(::ImGuiListClipper* self, int item_min, int item_max) { self->ForceDisplayRangeByIndices(item_min, item_max); }
extern "C" ::ImColor _1_ImColor_init_(int r, int g, int b, int a) { return ::ImColor(r, g, b, a); }
extern "C" ::ImColor _2_ImColor_init_(ImU32 rgba) { return ::ImColor(rgba); }
extern "C" ::ImDrawCmd _1_ImDrawCmd_init_() { return ::ImDrawCmd(); }
extern "C" ::ImDrawListSplitter _1_ImDrawListSplitter_init_() { return ::ImDrawListSplitter(); }
extern "C" void _1_ImDrawListSplitter_deinit_(::ImDrawListSplitter *self) { self->~ImDrawListSplitter(); }
extern "C" void _1_ImDrawListSplitter_ClearFreeMemory_(::ImDrawListSplitter* self) { self->ClearFreeMemory(); }
extern "C" void _1_ImDrawListSplitter_Split_(::ImDrawListSplitter* self, ImDrawList * draw_list, int count) { self->Split(draw_list, count); }
extern "C" void _1_ImDrawListSplitter_Merge_(::ImDrawListSplitter* self, ImDrawList * draw_list) { self->Merge(draw_list); }
extern "C" void _1_ImDrawListSplitter_SetCurrentChannel_(::ImDrawListSplitter* self, ImDrawList * draw_list, int channel_idx) { self->SetCurrentChannel(draw_list, channel_idx); }
extern "C" ::ImDrawList _1_ImDrawList_init_(ImDrawListSharedData * shared_data) { return ::ImDrawList(shared_data); }
extern "C" void _1_ImDrawList_deinit_(::ImDrawList *self) { self->~ImDrawList(); }
extern "C" void _1_ImDrawList_PushClipRect_(::ImDrawList* self, const ImVec2 & clip_rect_min, const ImVec2 & clip_rect_max, bool intersect_with_current_clip_rect) { self->PushClipRect(clip_rect_min, clip_rect_max, intersect_with_current_clip_rect); }
extern "C" void _1_ImDrawList_PushClipRectFullScreen_(::ImDrawList* self) { self->PushClipRectFullScreen(); }
extern "C" void _1_ImDrawList_PopClipRect_(::ImDrawList* self) { self->PopClipRect(); }
extern "C" void _1_ImDrawList_PushTextureID_(::ImDrawList* self, ImTextureID texture_id) { self->PushTextureID(texture_id); }
extern "C" void _1_ImDrawList_PopTextureID_(::ImDrawList* self) { self->PopTextureID(); }
extern "C" void _1_ImDrawList_AddLine_(::ImDrawList* self, const ImVec2 & p1, const ImVec2 & p2, ImU32 col, float thickness) { self->AddLine(p1, p2, col, thickness); }
extern "C" void _1_ImDrawList_AddRect_(::ImDrawList* self, const ImVec2 & p_min, const ImVec2 & p_max, ImU32 col, float rounding, ImDrawFlags flags, float thickness) { self->AddRect(p_min, p_max, col, rounding, flags, thickness); }
extern "C" void _1_ImDrawList_AddRectFilled_(::ImDrawList* self, const ImVec2 & p_min, const ImVec2 & p_max, ImU32 col, float rounding, ImDrawFlags flags) { self->AddRectFilled(p_min, p_max, col, rounding, flags); }
extern "C" void _1_ImDrawList_AddRectFilledMultiColor_(::ImDrawList* self, const ImVec2 & p_min, const ImVec2 & p_max, ImU32 col_upr_left, ImU32 col_upr_right, ImU32 col_bot_right, ImU32 col_bot_left) { self->AddRectFilledMultiColor(p_min, p_max, col_upr_left, col_upr_right, col_bot_right, col_bot_left); }
extern "C" void _1_ImDrawList_AddQuad_(::ImDrawList* self, const ImVec2 & p1, const ImVec2 & p2, const ImVec2 & p3, const ImVec2 & p4, ImU32 col, float thickness) { self->AddQuad(p1, p2, p3, p4, col, thickness); }
extern "C" void _1_ImDrawList_AddQuadFilled_(::ImDrawList* self, const ImVec2 & p1, const ImVec2 & p2, const ImVec2 & p3, const ImVec2 & p4, ImU32 col) { self->AddQuadFilled(p1, p2, p3, p4, col); }
extern "C" void _1_ImDrawList_AddTriangle_(::ImDrawList* self, const ImVec2 & p1, const ImVec2 & p2, const ImVec2 & p3, ImU32 col, float thickness) { self->AddTriangle(p1, p2, p3, col, thickness); }
extern "C" void _1_ImDrawList_AddTriangleFilled_(::ImDrawList* self, const ImVec2 & p1, const ImVec2 & p2, const ImVec2 & p3, ImU32 col) { self->AddTriangleFilled(p1, p2, p3, col); }
extern "C" void _1_ImDrawList_AddCircle_(::ImDrawList* self, const ImVec2 & center, float radius, ImU32 col, int num_segments, float thickness) { self->AddCircle(center, radius, col, num_segments, thickness); }
extern "C" void _1_ImDrawList_AddCircleFilled_(::ImDrawList* self, const ImVec2 & center, float radius, ImU32 col, int num_segments) { self->AddCircleFilled(center, radius, col, num_segments); }
extern "C" void _1_ImDrawList_AddNgon_(::ImDrawList* self, const ImVec2 & center, float radius, ImU32 col, int num_segments, float thickness) { self->AddNgon(center, radius, col, num_segments, thickness); }
extern "C" void _1_ImDrawList_AddNgonFilled_(::ImDrawList* self, const ImVec2 & center, float radius, ImU32 col, int num_segments) { self->AddNgonFilled(center, radius, col, num_segments); }
extern "C" void _1_ImDrawList_AddText_(::ImDrawList* self, const ImVec2 & pos, ImU32 col, const char * text_begin, const char * text_end) { self->AddText(pos, col, text_begin, text_end); }
extern "C" void _2_ImDrawList_AddText_(::ImDrawList* self, const ImFont * font, float font_size, const ImVec2 & pos, ImU32 col, const char * text_begin, const char * text_end, float wrap_width, const ImVec4 * cpu_fine_clip_rect) { self->AddText(font, font_size, pos, col, text_begin, text_end, wrap_width, cpu_fine_clip_rect); }
extern "C" void _1_ImDrawList_AddPolyline_(::ImDrawList* self, const ImVec2 * points, int num_points, ImU32 col, ImDrawFlags flags, float thickness) { self->AddPolyline(points, num_points, col, flags, thickness); }
extern "C" void _1_ImDrawList_AddConvexPolyFilled_(::ImDrawList* self, const ImVec2 * points, int num_points, ImU32 col) { self->AddConvexPolyFilled(points, num_points, col); }
extern "C" void _1_ImDrawList_AddBezierCubic_(::ImDrawList* self, const ImVec2 & p1, const ImVec2 & p2, const ImVec2 & p3, const ImVec2 & p4, ImU32 col, float thickness, int num_segments) { self->AddBezierCubic(p1, p2, p3, p4, col, thickness, num_segments); }
extern "C" void _1_ImDrawList_AddBezierQuadratic_(::ImDrawList* self, const ImVec2 & p1, const ImVec2 & p2, const ImVec2 & p3, ImU32 col, float thickness, int num_segments) { self->AddBezierQuadratic(p1, p2, p3, col, thickness, num_segments); }
extern "C" void _1_ImDrawList_AddImage_(::ImDrawList* self, ImTextureID user_texture_id, const ImVec2 & p_min, const ImVec2 & p_max, const ImVec2 & uv_min, const ImVec2 & uv_max, ImU32 col) { self->AddImage(user_texture_id, p_min, p_max, uv_min, uv_max, col); }
extern "C" void _1_ImDrawList_AddImageQuad_(::ImDrawList* self, ImTextureID user_texture_id, const ImVec2 & p1, const ImVec2 & p2, const ImVec2 & p3, const ImVec2 & p4, const ImVec2 & uv1, const ImVec2 & uv2, const ImVec2 & uv3, const ImVec2 & uv4, ImU32 col) { self->AddImageQuad(user_texture_id, p1, p2, p3, p4, uv1, uv2, uv3, uv4, col); }
extern "C" void _1_ImDrawList_AddImageRounded_(::ImDrawList* self, ImTextureID user_texture_id, const ImVec2 & p_min, const ImVec2 & p_max, const ImVec2 & uv_min, const ImVec2 & uv_max, ImU32 col, float rounding, ImDrawFlags flags) { self->AddImageRounded(user_texture_id, p_min, p_max, uv_min, uv_max, col, rounding, flags); }
extern "C" void _1_ImDrawList_PathArcTo_(::ImDrawList* self, const ImVec2 & center, float radius, float a_min, float a_max, int num_segments) { self->PathArcTo(center, radius, a_min, a_max, num_segments); }
extern "C" void _1_ImDrawList_PathArcToFast_(::ImDrawList* self, const ImVec2 & center, float radius, int a_min_of_12, int a_max_of_12) { self->PathArcToFast(center, radius, a_min_of_12, a_max_of_12); }
extern "C" void _1_ImDrawList_PathBezierCubicCurveTo_(::ImDrawList* self, const ImVec2 & p2, const ImVec2 & p3, const ImVec2 & p4, int num_segments) { self->PathBezierCubicCurveTo(p2, p3, p4, num_segments); }
extern "C" void _1_ImDrawList_PathBezierQuadraticCurveTo_(::ImDrawList* self, const ImVec2 & p2, const ImVec2 & p3, int num_segments) { self->PathBezierQuadraticCurveTo(p2, p3, num_segments); }
extern "C" void _1_ImDrawList_PathRect_(::ImDrawList* self, const ImVec2 & rect_min, const ImVec2 & rect_max, float rounding, ImDrawFlags flags) { self->PathRect(rect_min, rect_max, rounding, flags); }
extern "C" void _1_ImDrawList_AddCallback_(::ImDrawList* self, ImDrawCallback callback, void * callback_data) { self->AddCallback(callback, callback_data); }
extern "C" void _1_ImDrawList_AddDrawCmd_(::ImDrawList* self) { self->AddDrawCmd(); }
extern "C" ImDrawList * _1_ImDrawList_CloneOutput_(const ::ImDrawList *self) { return self->CloneOutput(); }
extern "C" void _1_ImDrawList_PrimReserve_(::ImDrawList* self, int idx_count, int vtx_count) { self->PrimReserve(idx_count, vtx_count); }
extern "C" void _1_ImDrawList_PrimUnreserve_(::ImDrawList* self, int idx_count, int vtx_count) { self->PrimUnreserve(idx_count, vtx_count); }
extern "C" void _1_ImDrawList_PrimRect_(::ImDrawList* self, const ImVec2 & a, const ImVec2 & b, ImU32 col) { self->PrimRect(a, b, col); }
extern "C" void _1_ImDrawList_PrimRectUV_(::ImDrawList* self, const ImVec2 & a, const ImVec2 & b, const ImVec2 & uv_a, const ImVec2 & uv_b, ImU32 col) { self->PrimRectUV(a, b, uv_a, uv_b, col); }
extern "C" void _1_ImDrawList_PrimQuadUV_(::ImDrawList* self, const ImVec2 & a, const ImVec2 & b, const ImVec2 & c, const ImVec2 & d, const ImVec2 & uv_a, const ImVec2 & uv_b, const ImVec2 & uv_c, const ImVec2 & uv_d, ImU32 col) { self->PrimQuadUV(a, b, c, d, uv_a, uv_b, uv_c, uv_d, col); }
extern "C" void _1_ImDrawList__ResetForNewFrame_(::ImDrawList* self) { self->_ResetForNewFrame(); }
extern "C" void _1_ImDrawList__ClearFreeMemory_(::ImDrawList* self) { self->_ClearFreeMemory(); }
extern "C" void _1_ImDrawList__PopUnusedDrawCmd_(::ImDrawList* self) { self->_PopUnusedDrawCmd(); }
extern "C" void _1_ImDrawList__TryMergeDrawCmds_(::ImDrawList* self) { self->_TryMergeDrawCmds(); }
extern "C" void _1_ImDrawList__OnChangedClipRect_(::ImDrawList* self) { self->_OnChangedClipRect(); }
extern "C" void _1_ImDrawList__OnChangedTextureID_(::ImDrawList* self) { self->_OnChangedTextureID(); }
extern "C" void _1_ImDrawList__OnChangedVtxOffset_(::ImDrawList* self) { self->_OnChangedVtxOffset(); }
extern "C" int _1_ImDrawList__CalcCircleAutoSegmentCount_(const ::ImDrawList *self, float radius) { return self->_CalcCircleAutoSegmentCount(radius); }
extern "C" void _1_ImDrawList__PathArcToFastEx_(::ImDrawList* self, const ImVec2 & center, float radius, int a_min_sample, int a_max_sample, int a_step) { self->_PathArcToFastEx(center, radius, a_min_sample, a_max_sample, a_step); }
extern "C" void _1_ImDrawList__PathArcToN_(::ImDrawList* self, const ImVec2 & center, float radius, float a_min, float a_max, int num_segments) { self->_PathArcToN(center, radius, a_min, a_max, num_segments); }
extern "C" ::ImDrawData _1_ImDrawData_init_() { return ::ImDrawData(); }
extern "C" void _1_ImDrawData_DeIndexAllBuffers_(::ImDrawData* self) { self->DeIndexAllBuffers(); }
extern "C" void _1_ImDrawData_ScaleClipRects_(::ImDrawData* self, const ImVec2 & fb_scale) { self->ScaleClipRects(fb_scale); }
extern "C" ::ImFontConfig _1_ImFontConfig_init_() { return ::ImFontConfig(); }
extern "C" ::ImFontGlyphRangesBuilder _1_ImFontGlyphRangesBuilder_init_() { return ::ImFontGlyphRangesBuilder(); }
extern "C" void _1_ImFontGlyphRangesBuilder_AddText_(::ImFontGlyphRangesBuilder* self, const char * text, const char * text_end) { self->AddText(text, text_end); }
extern "C" void _1_ImFontGlyphRangesBuilder_AddRanges_(::ImFontGlyphRangesBuilder* self, const ImWchar * ranges) { self->AddRanges(ranges); }
extern "C" void _1_ImFontGlyphRangesBuilder_BuildRanges_(::ImFontGlyphRangesBuilder* self, ImVector<ImWchar> * out_ranges) { self->BuildRanges(out_ranges); }
extern "C" ::ImFontAtlasCustomRect _1_ImFontAtlasCustomRect_init_() { return ::ImFontAtlasCustomRect(); }
extern "C" ::ImFontAtlas _1_ImFontAtlas_init_() { return ::ImFontAtlas(); }
extern "C" void _1_ImFontAtlas_deinit_(::ImFontAtlas *self) { self->~ImFontAtlas(); }
extern "C" ImFont * _1_ImFontAtlas_AddFont_(::ImFontAtlas* self, const ImFontConfig * font_cfg) { return self->AddFont(font_cfg); }
extern "C" ImFont * _1_ImFontAtlas_AddFontDefault_(::ImFontAtlas* self, const ImFontConfig * font_cfg) { return self->AddFontDefault(font_cfg); }
extern "C" ImFont * _1_ImFontAtlas_AddFontFromFileTTF_(::ImFontAtlas* self, const char * filename, float size_pixels, const ImFontConfig * font_cfg, const ImWchar * glyph_ranges) { return self->AddFontFromFileTTF(filename, size_pixels, font_cfg, glyph_ranges); }
extern "C" ImFont * _1_ImFontAtlas_AddFontFromMemoryTTF_(::ImFontAtlas* self, void * font_data, int font_size, float size_pixels, const ImFontConfig * font_cfg, const ImWchar * glyph_ranges) { return self->AddFontFromMemoryTTF(font_data, font_size, size_pixels, font_cfg, glyph_ranges); }
extern "C" ImFont * _1_ImFontAtlas_AddFontFromMemoryCompressedTTF_(::ImFontAtlas* self, const void * compressed_font_data, int compressed_font_size, float size_pixels, const ImFontConfig * font_cfg, const ImWchar * glyph_ranges) { return self->AddFontFromMemoryCompressedTTF(compressed_font_data, compressed_font_size, size_pixels, font_cfg, glyph_ranges); }
extern "C" ImFont * _1_ImFontAtlas_AddFontFromMemoryCompressedBase85TTF_(::ImFontAtlas* self, const char * compressed_font_data_base85, float size_pixels, const ImFontConfig * font_cfg, const ImWchar * glyph_ranges) { return self->AddFontFromMemoryCompressedBase85TTF(compressed_font_data_base85, size_pixels, font_cfg, glyph_ranges); }
extern "C" void _1_ImFontAtlas_ClearInputData_(::ImFontAtlas* self) { self->ClearInputData(); }
extern "C" void _1_ImFontAtlas_ClearTexData_(::ImFontAtlas* self) { self->ClearTexData(); }
extern "C" void _1_ImFontAtlas_ClearFonts_(::ImFontAtlas* self) { self->ClearFonts(); }
extern "C" void _1_ImFontAtlas_Clear_(::ImFontAtlas* self) { self->Clear(); }
extern "C" bool _1_ImFontAtlas_Build_(::ImFontAtlas* self) { return self->Build(); }
extern "C" void _1_ImFontAtlas_GetTexDataAsAlpha8_(::ImFontAtlas* self, unsigned char ** out_pixels, int * out_width, int * out_height, int * out_bytes_per_pixel) { self->GetTexDataAsAlpha8(out_pixels, out_width, out_height, out_bytes_per_pixel); }
extern "C" void _1_ImFontAtlas_GetTexDataAsRGBA32_(::ImFontAtlas* self, unsigned char ** out_pixels, int * out_width, int * out_height, int * out_bytes_per_pixel) { self->GetTexDataAsRGBA32(out_pixels, out_width, out_height, out_bytes_per_pixel); }
extern "C" const ImWchar * _1_ImFontAtlas_GetGlyphRangesDefault_(::ImFontAtlas* self) { return self->GetGlyphRangesDefault(); }
extern "C" const ImWchar * _1_ImFontAtlas_GetGlyphRangesGreek_(::ImFontAtlas* self) { return self->GetGlyphRangesGreek(); }
extern "C" const ImWchar * _1_ImFontAtlas_GetGlyphRangesKorean_(::ImFontAtlas* self) { return self->GetGlyphRangesKorean(); }
extern "C" const ImWchar * _1_ImFontAtlas_GetGlyphRangesJapanese_(::ImFontAtlas* self) { return self->GetGlyphRangesJapanese(); }
extern "C" const ImWchar * _1_ImFontAtlas_GetGlyphRangesChineseFull_(::ImFontAtlas* self) { return self->GetGlyphRangesChineseFull(); }
extern "C" const ImWchar * _1_ImFontAtlas_GetGlyphRangesChineseSimplifiedCommon_(::ImFontAtlas* self) { return self->GetGlyphRangesChineseSimplifiedCommon(); }
extern "C" const ImWchar * _1_ImFontAtlas_GetGlyphRangesCyrillic_(::ImFontAtlas* self) { return self->GetGlyphRangesCyrillic(); }
extern "C" const ImWchar * _1_ImFontAtlas_GetGlyphRangesThai_(::ImFontAtlas* self) { return self->GetGlyphRangesThai(); }
extern "C" const ImWchar * _1_ImFontAtlas_GetGlyphRangesVietnamese_(::ImFontAtlas* self) { return self->GetGlyphRangesVietnamese(); }
extern "C" int _1_ImFontAtlas_AddCustomRectRegular_(::ImFontAtlas* self, int width, int height) { return self->AddCustomRectRegular(width, height); }
extern "C" int _1_ImFontAtlas_AddCustomRectFontGlyph_(::ImFontAtlas* self, ImFont * font, ImWchar id, int width, int height, float advance_x, const ImVec2 & offset) { return self->AddCustomRectFontGlyph(font, id, width, height, advance_x, offset); }
extern "C" void _1_ImFontAtlas_CalcCustomRectUV_(const ::ImFontAtlas *self, const ImFontAtlasCustomRect * rect, ImVec2 * out_uv_min, ImVec2 * out_uv_max) { self->CalcCustomRectUV(rect, out_uv_min, out_uv_max); }
extern "C" bool _1_ImFontAtlas_GetMouseCursorTexData_(::ImFontAtlas* self, ImGuiMouseCursor cursor, ImVec2 * out_offset, ImVec2 * out_size, ImVec2 * out_uv_border, ImVec2 * out_uv_fill) { return self->GetMouseCursorTexData(cursor, out_offset, out_size, out_uv_border, out_uv_fill); }
extern "C" ::ImFont _1_ImFont_init_() { return ::ImFont(); }
extern "C" void _1_ImFont_deinit_(::ImFont *self) { self->~ImFont(); }
extern "C" const ImFontGlyph * _1_ImFont_FindGlyph_(const ::ImFont *self, ImWchar c) { return self->FindGlyph(c); }
extern "C" const ImFontGlyph * _1_ImFont_FindGlyphNoFallback_(const ::ImFont *self, ImWchar c) { return self->FindGlyphNoFallback(c); }
extern "C" ImVec2 _1_ImFont_CalcTextSizeA_(const ::ImFont *self, float size, float max_width, float wrap_width, const char * text_begin, const char * text_end, const char ** remaining) { return self->CalcTextSizeA(size, max_width, wrap_width, text_begin, text_end, remaining); }
extern "C" const char * _1_ImFont_CalcWordWrapPositionA_(const ::ImFont *self, float scale, const char * text, const char * text_end, float wrap_width) { return self->CalcWordWrapPositionA(scale, text, text_end, wrap_width); }
extern "C" void _1_ImFont_RenderChar_(const ::ImFont *self, ImDrawList * draw_list, float size, const ImVec2 & pos, ImU32 col, ImWchar c) { self->RenderChar(draw_list, size, pos, col, c); }
extern "C" void _1_ImFont_RenderText_(const ::ImFont *self, ImDrawList * draw_list, float size, const ImVec2 & pos, ImU32 col, const ImVec4 & clip_rect, const char * text_begin, const char * text_end, float wrap_width, bool cpu_fine_clip) { self->RenderText(draw_list, size, pos, col, clip_rect, text_begin, text_end, wrap_width, cpu_fine_clip); }
extern "C" void _1_ImFont_BuildLookupTable_(::ImFont* self) { self->BuildLookupTable(); }
extern "C" void _1_ImFont_ClearOutputData_(::ImFont* self) { self->ClearOutputData(); }
extern "C" void _1_ImFont_GrowIndex_(::ImFont* self, int new_size) { self->GrowIndex(new_size); }
extern "C" void _1_ImFont_AddGlyph_(::ImFont* self, const ImFontConfig * src_cfg, ImWchar c, float x0, float y0, float x1, float y1, float u0, float v0, float u1, float v1, float advance_x) { self->AddGlyph(src_cfg, c, x0, y0, x1, y1, u0, v0, u1, v1, advance_x); }
extern "C" void _1_ImFont_AddRemapChar_(::ImFont* self, ImWchar dst, ImWchar src, bool overwrite_dst) { self->AddRemapChar(dst, src, overwrite_dst); }
extern "C" void _1_ImFont_SetGlyphVisible_(::ImFont* self, ImWchar c, bool visible) { self->SetGlyphVisible(c, visible); }
extern "C" bool _1_ImFont_IsGlyphRangeUnused_(::ImFont* self, unsigned int c_begin, unsigned int c_last) { return self->IsGlyphRangeUnused(c_begin, c_last); }
extern "C" ::ImGuiViewport _1_ImGuiViewport_init_() { return ::ImGuiViewport(); }
extern "C" void _1_ImGuiViewport_deinit_(::ImGuiViewport *self) { self->~ImGuiViewport(); }
extern "C" ::ImGuiPlatformIO _1_ImGuiPlatformIO_init_() { return ::ImGuiPlatformIO(); }
extern "C" ::ImGuiPlatformMonitor _1_ImGuiPlatformMonitor_init_() { return ::ImGuiPlatformMonitor(); }
extern "C" ::ImGuiPlatformImeData _1_ImGuiPlatformImeData_init_() { return ::ImGuiPlatformImeData(); }
|
0 | repos/c2z/use_cases | repos/c2z/use_cases/imgui/imgui_impl_opengl3_glue.cpp | // auto generated by c2z
#include "imgui_impl_opengl3.h"
extern "C" bool _1_ImGui_ImplOpenGL3_Init_(const char * glsl_version) { return ::ImGui_ImplOpenGL3_Init(glsl_version); }
extern "C" void _1_ImGui_ImplOpenGL3_Shutdown_() { ::ImGui_ImplOpenGL3_Shutdown(); }
extern "C" void _1_ImGui_ImplOpenGL3_NewFrame_() { ::ImGui_ImplOpenGL3_NewFrame(); }
extern "C" void _1_ImGui_ImplOpenGL3_RenderDrawData_(ImDrawData * draw_data) { ::ImGui_ImplOpenGL3_RenderDrawData(draw_data); }
extern "C" bool _1_ImGui_ImplOpenGL3_CreateFontsTexture_() { return ::ImGui_ImplOpenGL3_CreateFontsTexture(); }
extern "C" void _1_ImGui_ImplOpenGL3_DestroyFontsTexture_() { ::ImGui_ImplOpenGL3_DestroyFontsTexture(); }
extern "C" bool _1_ImGui_ImplOpenGL3_CreateDeviceObjects_() { return ::ImGui_ImplOpenGL3_CreateDeviceObjects(); }
extern "C" void _1_ImGui_ImplOpenGL3_DestroyDeviceObjects_() { ::ImGui_ImplOpenGL3_DestroyDeviceObjects(); }
|
0 | repos/c2z/use_cases | repos/c2z/use_cases/imgui/imgui_impl_opengl3.zig | // auto generated by c2z
const std = @import("std");
//const cpp = @import("cpp");
const ImDrawData = @import("imgui.zig").ImDrawData;
extern fn _1_ImGui_ImplOpenGL3_Init_(glsl_version: [*:0]const u8) bool;
pub const Init = _1_ImGui_ImplOpenGL3_Init_;
extern fn _1_ImGui_ImplOpenGL3_Shutdown_() void;
pub const Shutdown = _1_ImGui_ImplOpenGL3_Shutdown_;
extern fn _1_ImGui_ImplOpenGL3_NewFrame_() void;
pub const NewFrame = _1_ImGui_ImplOpenGL3_NewFrame_;
extern fn _1_ImGui_ImplOpenGL3_RenderDrawData_(draw_data: *ImDrawData) void;
pub const RenderDrawData = _1_ImGui_ImplOpenGL3_RenderDrawData_;
extern fn _1_ImGui_ImplOpenGL3_CreateFontsTexture_() bool;
pub const CreateFontsTexture = _1_ImGui_ImplOpenGL3_CreateFontsTexture_;
extern fn _1_ImGui_ImplOpenGL3_DestroyFontsTexture_() void;
pub const DestroyFontsTexture = _1_ImGui_ImplOpenGL3_DestroyFontsTexture_;
extern fn _1_ImGui_ImplOpenGL3_CreateDeviceObjects_() bool;
pub const CreateDeviceObjects = _1_ImGui_ImplOpenGL3_CreateDeviceObjects_;
extern fn _1_ImGui_ImplOpenGL3_DestroyDeviceObjects_() void;
pub const DestroyDeviceObjects = _1_ImGui_ImplOpenGL3_DestroyDeviceObjects_;
|
0 | repos/c2z/use_cases | repos/c2z/use_cases/imgui/imgui.zig | // auto generated by c2z
const std = @import("std");
const cpp = @import("cpp");
extern fn memcpy(destination: *anyopaque, source: *const anyopaque, num: usize) *anyopaque;
extern fn memmove(destination: *anyopaque, source: *const anyopaque, num: usize) *anyopaque;
extern fn memcmp(ptr1: ?*const anyopaque, ptr2: ?*const anyopaque, num: usize) c_int;
extern fn memset(destination: ?*anyopaque, value: c_int, num: usize) ?*anyopaque;
extern fn strcmp(str1: [*c]const u8, str2: [*c]const u8) c_int;
pub inline fn ImAssert(ok: bool) void {
std.debug.assert(ok);
}
pub const ImGuiKeyChord = c_int;
pub const ImTextureID = ?*anyopaque;
pub const ImDrawIdx = c_ushort;
pub const ImGuiID = c_uint;
pub const ImS8 = i8;
pub const ImU8 = u8;
pub const ImS16 = c_short;
pub const ImU16 = c_ushort;
pub const ImS32 = c_int;
pub const ImU32 = c_uint;
pub const ImS64 = c_longlong;
pub const ImU64 = c_ulonglong;
pub const ImWchar16 = c_ushort;
pub const ImWchar32 = c_uint;
pub const ImWchar = ImWchar16;
pub const ImGuiInputTextCallback = ?*const fn ([*c]ImGuiInputTextCallbackData) callconv(.C) c_int;
pub const ImGuiSizeCallback = ?*const fn ([*c]ImGuiSizeCallbackData) callconv(.C) void;
pub const ImGuiMemAllocFunc = ?*const fn (usize, ?*anyopaque) callconv(.C) ?*anyopaque;
pub const ImGuiMemFreeFunc = ?*const fn (?*anyopaque, ?*anyopaque) callconv(.C) void;
pub const ImVec2 = extern struct {
x: f32,
y: f32,
pub fn getPtr(self: *ImVec2, idx: usize) *f32 {
ImAssert(idx == @intCast(usize, 0) or idx == @intCast(usize, 1));
return (@ptrCast([*c]f32, @bitCast(?*anyopaque, @ptrCast([*c]u8, self))))[idx];
}
pub fn get(self: *const ImVec2, idx: usize) f32 {
ImAssert(idx == @intCast(usize, 0) or idx == @intCast(usize, 1));
return (@ptrCast([*c]const f32, @bitCast(?*const anyopaque, @ptrCast([*c]const u8, self))))[idx];
}
};
pub const ImVec4 = extern struct {
x: f32,
y: f32,
z: f32,
w: f32,
};
extern fn _1_ImGui_CreateContext_(shared_font_atlas: [*c]ImFontAtlas) [*c]ImGuiContext;
pub const CreateContext = _1_ImGui_CreateContext_;
extern fn _1_ImGui_DestroyContext_(ctx: [*c]ImGuiContext) void;
pub const DestroyContext = _1_ImGui_DestroyContext_;
extern fn _1_ImGui_GetCurrentContext_() [*c]ImGuiContext;
pub const GetCurrentContext = _1_ImGui_GetCurrentContext_;
extern fn _1_ImGui_SetCurrentContext_(ctx: [*c]ImGuiContext) void;
pub const SetCurrentContext = _1_ImGui_SetCurrentContext_;
extern fn _1_ImGui_GetIO_() *ImGuiIO;
pub const GetIO = _1_ImGui_GetIO_;
extern fn _1_ImGui_GetStyle_() *ImGuiStyle;
pub const GetStyle = _1_ImGui_GetStyle_;
extern fn _1_ImGui_NewFrame_() void;
pub const NewFrame = _1_ImGui_NewFrame_;
extern fn _1_ImGui_EndFrame_() void;
pub const EndFrame = _1_ImGui_EndFrame_;
extern fn _1_ImGui_Render_() void;
pub const Render = _1_ImGui_Render_;
extern fn _1_ImGui_GetDrawData_() [*c]ImDrawData;
pub const GetDrawData = _1_ImGui_GetDrawData_;
extern fn _1_ImGui_ShowDemoWindow_(p_open: [*c]bool) void;
pub const ShowDemoWindow = _1_ImGui_ShowDemoWindow_;
extern fn _1_ImGui_ShowMetricsWindow_(p_open: [*c]bool) void;
pub const ShowMetricsWindow = _1_ImGui_ShowMetricsWindow_;
extern fn _1_ImGui_ShowDebugLogWindow_(p_open: [*c]bool) void;
pub const ShowDebugLogWindow = _1_ImGui_ShowDebugLogWindow_;
extern fn _1_ImGui_ShowStackToolWindow_(p_open: [*c]bool) void;
pub const ShowStackToolWindow = _1_ImGui_ShowStackToolWindow_;
extern fn _1_ImGui_ShowAboutWindow_(p_open: [*c]bool) void;
pub const ShowAboutWindow = _1_ImGui_ShowAboutWindow_;
extern fn _1_ImGui_ShowStyleEditor_(ref: [*c]ImGuiStyle) void;
pub const ShowStyleEditor = _1_ImGui_ShowStyleEditor_;
extern fn _1_ImGui_ShowStyleSelector_(label: [*c]const u8) bool;
pub const ShowStyleSelector = _1_ImGui_ShowStyleSelector_;
extern fn _1_ImGui_ShowFontSelector_(label: [*c]const u8) void;
pub const ShowFontSelector = _1_ImGui_ShowFontSelector_;
extern fn _1_ImGui_ShowUserGuide_() void;
pub const ShowUserGuide = _1_ImGui_ShowUserGuide_;
extern fn _1_ImGui_GetVersion_() [*c]const u8;
pub const GetVersion = _1_ImGui_GetVersion_;
extern fn _1_ImGui_StyleColorsDark_(dst: [*c]ImGuiStyle) void;
pub const StyleColorsDark = _1_ImGui_StyleColorsDark_;
extern fn _1_ImGui_StyleColorsLight_(dst: [*c]ImGuiStyle) void;
pub const StyleColorsLight = _1_ImGui_StyleColorsLight_;
extern fn _1_ImGui_StyleColorsClassic_(dst: [*c]ImGuiStyle) void;
pub const StyleColorsClassic = _1_ImGui_StyleColorsClassic_;
extern fn _1_ImGui_Begin_(name: [*c]const u8, p_open: [*c]bool, flags: ImGuiWindowFlags) bool;
pub const Begin = _1_ImGui_Begin_;
extern fn _1_ImGui_End_() void;
pub const End = _1_ImGui_End_;
extern fn _1_ImGui_BeginChild_(str_id: [*c]const u8, size: *const ImVec2, border: bool, flags: ImGuiWindowFlags) bool;
pub const BeginChild = _1_ImGui_BeginChild_;
extern fn _2_ImGui_BeginChild_(id: ImGuiID, size: *const ImVec2, border: bool, flags: ImGuiWindowFlags) bool;
pub const BeginChild__Overload2 = _2_ImGui_BeginChild_;
extern fn _1_ImGui_EndChild_() void;
pub const EndChild = _1_ImGui_EndChild_;
extern fn _1_ImGui_IsWindowAppearing_() bool;
pub const IsWindowAppearing = _1_ImGui_IsWindowAppearing_;
extern fn _1_ImGui_IsWindowCollapsed_() bool;
pub const IsWindowCollapsed = _1_ImGui_IsWindowCollapsed_;
extern fn _1_ImGui_IsWindowFocused_(flags: ImGuiFocusedFlags) bool;
pub const IsWindowFocused = _1_ImGui_IsWindowFocused_;
extern fn _1_ImGui_IsWindowHovered_(flags: ImGuiHoveredFlags) bool;
pub const IsWindowHovered = _1_ImGui_IsWindowHovered_;
extern fn _1_ImGui_GetWindowDrawList_() [*c]ImDrawList;
pub const GetWindowDrawList = _1_ImGui_GetWindowDrawList_;
extern fn _1_ImGui_GetWindowDpiScale_() f32;
pub const GetWindowDpiScale = _1_ImGui_GetWindowDpiScale_;
extern fn _1_ImGui_GetWindowPos_() ImVec2;
pub const GetWindowPos = _1_ImGui_GetWindowPos_;
extern fn _1_ImGui_GetWindowSize_() ImVec2;
pub const GetWindowSize = _1_ImGui_GetWindowSize_;
extern fn _1_ImGui_GetWindowWidth_() f32;
pub const GetWindowWidth = _1_ImGui_GetWindowWidth_;
extern fn _1_ImGui_GetWindowHeight_() f32;
pub const GetWindowHeight = _1_ImGui_GetWindowHeight_;
extern fn _1_ImGui_GetWindowViewport_() [*c]ImGuiViewport;
pub const GetWindowViewport = _1_ImGui_GetWindowViewport_;
extern fn _1_ImGui_SetNextWindowPos_(pos: *const ImVec2, cond: ImGuiCond, pivot: *const ImVec2) void;
pub const SetNextWindowPos = _1_ImGui_SetNextWindowPos_;
extern fn _1_ImGui_SetNextWindowSize_(size: *const ImVec2, cond: ImGuiCond) void;
pub const SetNextWindowSize = _1_ImGui_SetNextWindowSize_;
extern fn _1_ImGui_SetNextWindowSizeConstraints_(size_min: *const ImVec2, size_max: *const ImVec2, custom_callback: ImGuiSizeCallback, custom_callback_data: ?*anyopaque) void;
pub const SetNextWindowSizeConstraints = _1_ImGui_SetNextWindowSizeConstraints_;
extern fn _1_ImGui_SetNextWindowContentSize_(size: *const ImVec2) void;
pub const SetNextWindowContentSize = _1_ImGui_SetNextWindowContentSize_;
extern fn _1_ImGui_SetNextWindowCollapsed_(collapsed: bool, cond: ImGuiCond) void;
pub const SetNextWindowCollapsed = _1_ImGui_SetNextWindowCollapsed_;
extern fn _1_ImGui_SetNextWindowFocus_() void;
pub const SetNextWindowFocus = _1_ImGui_SetNextWindowFocus_;
extern fn _1_ImGui_SetNextWindowScroll_(scroll: *const ImVec2) void;
pub const SetNextWindowScroll = _1_ImGui_SetNextWindowScroll_;
extern fn _1_ImGui_SetNextWindowBgAlpha_(alpha: f32) void;
pub const SetNextWindowBgAlpha = _1_ImGui_SetNextWindowBgAlpha_;
extern fn _1_ImGui_SetNextWindowViewport_(viewport_id: ImGuiID) void;
pub const SetNextWindowViewport = _1_ImGui_SetNextWindowViewport_;
extern fn _1_ImGui_SetWindowPos_(pos: *const ImVec2, cond: ImGuiCond) void;
pub const SetWindowPos = _1_ImGui_SetWindowPos_;
extern fn _1_ImGui_SetWindowSize_(size: *const ImVec2, cond: ImGuiCond) void;
pub const SetWindowSize = _1_ImGui_SetWindowSize_;
extern fn _1_ImGui_SetWindowCollapsed_(collapsed: bool, cond: ImGuiCond) void;
pub const SetWindowCollapsed = _1_ImGui_SetWindowCollapsed_;
extern fn _1_ImGui_SetWindowFocus_() void;
pub const SetWindowFocus = _1_ImGui_SetWindowFocus_;
extern fn _1_ImGui_SetWindowFontScale_(scale: f32) void;
pub const SetWindowFontScale = _1_ImGui_SetWindowFontScale_;
extern fn _2_ImGui_SetWindowPos_(name: [*c]const u8, pos: *const ImVec2, cond: ImGuiCond) void;
pub const SetWindowPos__Overload2 = _2_ImGui_SetWindowPos_;
extern fn _2_ImGui_SetWindowSize_(name: [*c]const u8, size: *const ImVec2, cond: ImGuiCond) void;
pub const SetWindowSize__Overload2 = _2_ImGui_SetWindowSize_;
extern fn _2_ImGui_SetWindowCollapsed_(name: [*c]const u8, collapsed: bool, cond: ImGuiCond) void;
pub const SetWindowCollapsed__Overload2 = _2_ImGui_SetWindowCollapsed_;
extern fn _2_ImGui_SetWindowFocus_(name: [*c]const u8) void;
pub const SetWindowFocus__Overload2 = _2_ImGui_SetWindowFocus_;
extern fn _1_ImGui_GetContentRegionAvail_() ImVec2;
pub const GetContentRegionAvail = _1_ImGui_GetContentRegionAvail_;
extern fn _1_ImGui_GetContentRegionMax_() ImVec2;
pub const GetContentRegionMax = _1_ImGui_GetContentRegionMax_;
extern fn _1_ImGui_GetWindowContentRegionMin_() ImVec2;
pub const GetWindowContentRegionMin = _1_ImGui_GetWindowContentRegionMin_;
extern fn _1_ImGui_GetWindowContentRegionMax_() ImVec2;
pub const GetWindowContentRegionMax = _1_ImGui_GetWindowContentRegionMax_;
extern fn _1_ImGui_GetScrollX_() f32;
pub const GetScrollX = _1_ImGui_GetScrollX_;
extern fn _1_ImGui_GetScrollY_() f32;
pub const GetScrollY = _1_ImGui_GetScrollY_;
extern fn _1_ImGui_SetScrollX_(scroll_x: f32) void;
pub const SetScrollX = _1_ImGui_SetScrollX_;
extern fn _1_ImGui_SetScrollY_(scroll_y: f32) void;
pub const SetScrollY = _1_ImGui_SetScrollY_;
extern fn _1_ImGui_GetScrollMaxX_() f32;
pub const GetScrollMaxX = _1_ImGui_GetScrollMaxX_;
extern fn _1_ImGui_GetScrollMaxY_() f32;
pub const GetScrollMaxY = _1_ImGui_GetScrollMaxY_;
extern fn _1_ImGui_SetScrollHereX_(center_x_ratio: f32) void;
pub const SetScrollHereX = _1_ImGui_SetScrollHereX_;
extern fn _1_ImGui_SetScrollHereY_(center_y_ratio: f32) void;
pub const SetScrollHereY = _1_ImGui_SetScrollHereY_;
extern fn _1_ImGui_SetScrollFromPosX_(local_x: f32, center_x_ratio: f32) void;
pub const SetScrollFromPosX = _1_ImGui_SetScrollFromPosX_;
extern fn _1_ImGui_SetScrollFromPosY_(local_y: f32, center_y_ratio: f32) void;
pub const SetScrollFromPosY = _1_ImGui_SetScrollFromPosY_;
extern fn _1_ImGui_PushFont_(font: [*c]ImFont) void;
pub const PushFont = _1_ImGui_PushFont_;
extern fn _1_ImGui_PopFont_() void;
pub const PopFont = _1_ImGui_PopFont_;
extern fn _1_ImGui_PushStyleColor_(idx: ImGuiCol, col: ImU32) void;
pub const PushStyleColor = _1_ImGui_PushStyleColor_;
extern fn _2_ImGui_PushStyleColor_(idx: ImGuiCol, col: *const ImVec4) void;
pub const PushStyleColor__Overload2 = _2_ImGui_PushStyleColor_;
extern fn _1_ImGui_PopStyleColor_(count: c_int) void;
pub const PopStyleColor = _1_ImGui_PopStyleColor_;
extern fn _1_ImGui_PushStyleVar_(idx: ImGuiStyleVar, val: f32) void;
pub const PushStyleVar = _1_ImGui_PushStyleVar_;
extern fn _2_ImGui_PushStyleVar_(idx: ImGuiStyleVar, val: *const ImVec2) void;
pub const PushStyleVar__Overload2 = _2_ImGui_PushStyleVar_;
extern fn _1_ImGui_PopStyleVar_(count: c_int) void;
pub const PopStyleVar = _1_ImGui_PopStyleVar_;
extern fn _1_ImGui_PushTabStop_(tab_stop: bool) void;
pub const PushTabStop = _1_ImGui_PushTabStop_;
extern fn _1_ImGui_PopTabStop_() void;
pub const PopTabStop = _1_ImGui_PopTabStop_;
extern fn _1_ImGui_PushButtonRepeat_(repeat: bool) void;
pub const PushButtonRepeat = _1_ImGui_PushButtonRepeat_;
extern fn _1_ImGui_PopButtonRepeat_() void;
pub const PopButtonRepeat = _1_ImGui_PopButtonRepeat_;
extern fn _1_ImGui_PushItemWidth_(item_width: f32) void;
pub const PushItemWidth = _1_ImGui_PushItemWidth_;
extern fn _1_ImGui_PopItemWidth_() void;
pub const PopItemWidth = _1_ImGui_PopItemWidth_;
extern fn _1_ImGui_SetNextItemWidth_(item_width: f32) void;
pub const SetNextItemWidth = _1_ImGui_SetNextItemWidth_;
extern fn _1_ImGui_CalcItemWidth_() f32;
pub const CalcItemWidth = _1_ImGui_CalcItemWidth_;
extern fn _1_ImGui_PushTextWrapPos_(wrap_local_pos_x: f32) void;
pub const PushTextWrapPos = _1_ImGui_PushTextWrapPos_;
extern fn _1_ImGui_PopTextWrapPos_() void;
pub const PopTextWrapPos = _1_ImGui_PopTextWrapPos_;
extern fn _1_ImGui_GetFont_() [*c]ImFont;
pub const GetFont = _1_ImGui_GetFont_;
extern fn _1_ImGui_GetFontSize_() f32;
pub const GetFontSize = _1_ImGui_GetFontSize_;
extern fn _1_ImGui_GetFontTexUvWhitePixel_() ImVec2;
pub const GetFontTexUvWhitePixel = _1_ImGui_GetFontTexUvWhitePixel_;
extern fn _1_ImGui_GetColorU32_(idx: ImGuiCol, alpha_mul: f32) ImU32;
pub const GetColorU32 = _1_ImGui_GetColorU32_;
extern fn _2_ImGui_GetColorU32_(col: *const ImVec4) ImU32;
pub const GetColorU32__Overload2 = _2_ImGui_GetColorU32_;
extern fn _3_ImGui_GetColorU32_(col: ImU32) ImU32;
pub const GetColorU32__Overload3 = _3_ImGui_GetColorU32_;
extern fn _1_ImGui_GetStyleColorVec4_(idx: ImGuiCol) *const ImVec4;
pub const GetStyleColorVec4 = _1_ImGui_GetStyleColorVec4_;
extern fn _1_ImGui_Separator_() void;
pub const Separator = _1_ImGui_Separator_;
extern fn _1_ImGui_SameLine_(offset_from_start_x: f32, spacing: f32) void;
pub const SameLine = _1_ImGui_SameLine_;
extern fn _1_ImGui_NewLine_() void;
pub const NewLine = _1_ImGui_NewLine_;
extern fn _1_ImGui_Spacing_() void;
pub const Spacing = _1_ImGui_Spacing_;
extern fn _1_ImGui_Dummy_(size: *const ImVec2) void;
pub const Dummy = _1_ImGui_Dummy_;
extern fn _1_ImGui_Indent_(indent_w: f32) void;
pub const Indent = _1_ImGui_Indent_;
extern fn _1_ImGui_Unindent_(indent_w: f32) void;
pub const Unindent = _1_ImGui_Unindent_;
extern fn _1_ImGui_BeginGroup_() void;
pub const BeginGroup = _1_ImGui_BeginGroup_;
extern fn _1_ImGui_EndGroup_() void;
pub const EndGroup = _1_ImGui_EndGroup_;
extern fn _1_ImGui_GetCursorPos_() ImVec2;
pub const GetCursorPos = _1_ImGui_GetCursorPos_;
extern fn _1_ImGui_GetCursorPosX_() f32;
pub const GetCursorPosX = _1_ImGui_GetCursorPosX_;
extern fn _1_ImGui_GetCursorPosY_() f32;
pub const GetCursorPosY = _1_ImGui_GetCursorPosY_;
extern fn _1_ImGui_SetCursorPos_(local_pos: *const ImVec2) void;
pub const SetCursorPos = _1_ImGui_SetCursorPos_;
extern fn _1_ImGui_SetCursorPosX_(local_x: f32) void;
pub const SetCursorPosX = _1_ImGui_SetCursorPosX_;
extern fn _1_ImGui_SetCursorPosY_(local_y: f32) void;
pub const SetCursorPosY = _1_ImGui_SetCursorPosY_;
extern fn _1_ImGui_GetCursorStartPos_() ImVec2;
pub const GetCursorStartPos = _1_ImGui_GetCursorStartPos_;
extern fn _1_ImGui_GetCursorScreenPos_() ImVec2;
pub const GetCursorScreenPos = _1_ImGui_GetCursorScreenPos_;
extern fn _1_ImGui_SetCursorScreenPos_(pos: *const ImVec2) void;
pub const SetCursorScreenPos = _1_ImGui_SetCursorScreenPos_;
extern fn _1_ImGui_AlignTextToFramePadding_() void;
pub const AlignTextToFramePadding = _1_ImGui_AlignTextToFramePadding_;
extern fn _1_ImGui_GetTextLineHeight_() f32;
pub const GetTextLineHeight = _1_ImGui_GetTextLineHeight_;
extern fn _1_ImGui_GetTextLineHeightWithSpacing_() f32;
pub const GetTextLineHeightWithSpacing = _1_ImGui_GetTextLineHeightWithSpacing_;
extern fn _1_ImGui_GetFrameHeight_() f32;
pub const GetFrameHeight = _1_ImGui_GetFrameHeight_;
extern fn _1_ImGui_GetFrameHeightWithSpacing_() f32;
pub const GetFrameHeightWithSpacing = _1_ImGui_GetFrameHeightWithSpacing_;
extern fn _1_ImGui_PushID_(str_id: [*c]const u8) void;
pub const PushID = _1_ImGui_PushID_;
extern fn _2_ImGui_PushID_(str_id_begin: [*c]const u8, str_id_end: [*c]const u8) void;
pub const PushID__Overload2 = _2_ImGui_PushID_;
extern fn _3_ImGui_PushID_(ptr_id: ?*const anyopaque) void;
pub const PushID__Overload3 = _3_ImGui_PushID_;
extern fn _4_ImGui_PushID_(int_id: c_int) void;
pub const PushID__Overload4 = _4_ImGui_PushID_;
extern fn _1_ImGui_PopID_() void;
pub const PopID = _1_ImGui_PopID_;
extern fn _1_ImGui_GetID_(str_id: [*c]const u8) ImGuiID;
pub const GetID = _1_ImGui_GetID_;
extern fn _2_ImGui_GetID_(str_id_begin: [*c]const u8, str_id_end: [*c]const u8) ImGuiID;
pub const GetID__Overload2 = _2_ImGui_GetID_;
extern fn _3_ImGui_GetID_(ptr_id: ?*const anyopaque) ImGuiID;
pub const GetID__Overload3 = _3_ImGui_GetID_;
extern fn _1_ImGui_TextUnformatted_(text: [*c]const u8, text_end: [*c]const u8) void;
pub const TextUnformatted = _1_ImGui_TextUnformatted_;
extern fn _1_ImGui_TextV_(fmt: [*c]const u8, args: [*c]u8) void;
pub const TextV = _1_ImGui_TextV_;
extern fn _1_ImGui_TextColoredV_(col: *const ImVec4, fmt: [*c]const u8, args: [*c]u8) void;
pub const TextColoredV = _1_ImGui_TextColoredV_;
extern fn _1_ImGui_TextDisabledV_(fmt: [*c]const u8, args: [*c]u8) void;
pub const TextDisabledV = _1_ImGui_TextDisabledV_;
extern fn _1_ImGui_TextWrappedV_(fmt: [*c]const u8, args: [*c]u8) void;
pub const TextWrappedV = _1_ImGui_TextWrappedV_;
extern fn _1_ImGui_LabelTextV_(label: [*c]const u8, fmt: [*c]const u8, args: [*c]u8) void;
pub const LabelTextV = _1_ImGui_LabelTextV_;
extern fn _1_ImGui_BulletTextV_(fmt: [*c]const u8, args: [*c]u8) void;
pub const BulletTextV = _1_ImGui_BulletTextV_;
extern fn _1_ImGui_SeparatorText_(label: [*c]const u8) void;
pub const SeparatorText = _1_ImGui_SeparatorText_;
extern fn _1_ImGui_Button_(label: [*c]const u8, size: *const ImVec2) bool;
pub const Button = _1_ImGui_Button_;
extern fn _1_ImGui_SmallButton_(label: [*c]const u8) bool;
pub const SmallButton = _1_ImGui_SmallButton_;
extern fn _1_ImGui_InvisibleButton_(str_id: [*c]const u8, size: *const ImVec2, flags: ImGuiButtonFlags) bool;
pub const InvisibleButton = _1_ImGui_InvisibleButton_;
extern fn _1_ImGui_ArrowButton_(str_id: [*c]const u8, dir: ImGuiDir) bool;
pub const ArrowButton = _1_ImGui_ArrowButton_;
extern fn _1_ImGui_Checkbox_(label: [*c]const u8, v: [*c]bool) bool;
pub const Checkbox = _1_ImGui_Checkbox_;
extern fn _1_ImGui_CheckboxFlags_(label: [*c]const u8, flags: [*c]c_int, flags_value: c_int) bool;
pub const CheckboxFlags = _1_ImGui_CheckboxFlags_;
extern fn _2_ImGui_CheckboxFlags_(label: [*c]const u8, flags: [*c]c_uint, flags_value: c_uint) bool;
pub const CheckboxFlags__Overload2 = _2_ImGui_CheckboxFlags_;
extern fn _1_ImGui_RadioButton_(label: [*c]const u8, active: bool) bool;
pub const RadioButton = _1_ImGui_RadioButton_;
extern fn _2_ImGui_RadioButton_(label: [*c]const u8, v: [*c]c_int, v_button: c_int) bool;
pub const RadioButton__Overload2 = _2_ImGui_RadioButton_;
extern fn _1_ImGui_ProgressBar_(fraction: f32, size_arg: *const ImVec2, overlay: [*c]const u8) void;
pub const ProgressBar = _1_ImGui_ProgressBar_;
extern fn _1_ImGui_Bullet_() void;
pub const Bullet = _1_ImGui_Bullet_;
extern fn _1_ImGui_Image_(user_texture_id: ImTextureID, size: *const ImVec2, uv0: *const ImVec2, uv1: *const ImVec2, tint_col: *const ImVec4, border_col: *const ImVec4) void;
pub const Image = _1_ImGui_Image_;
extern fn _1_ImGui_ImageButton_(str_id: [*c]const u8, user_texture_id: ImTextureID, size: *const ImVec2, uv0: *const ImVec2, uv1: *const ImVec2, bg_col: *const ImVec4, tint_col: *const ImVec4) bool;
pub const ImageButton = _1_ImGui_ImageButton_;
extern fn _1_ImGui_BeginCombo_(label: [*c]const u8, preview_value: [*c]const u8, flags: ImGuiComboFlags) bool;
pub const BeginCombo = _1_ImGui_BeginCombo_;
extern fn _1_ImGui_EndCombo_() void;
pub const EndCombo = _1_ImGui_EndCombo_;
extern fn _1_ImGui_Combo_(label: [*c]const u8, current_item: [*c]c_int, items: [*c]const [*c]const u8, items_count: c_int, popup_max_height_in_items: c_int) bool;
pub const Combo = _1_ImGui_Combo_;
extern fn _2_ImGui_Combo_(label: [*c]const u8, current_item: [*c]c_int, items_separated_by_zeros: [*c]const u8, popup_max_height_in_items: c_int) bool;
pub const Combo__Overload2 = _2_ImGui_Combo_;
extern fn _3_ImGui_Combo_(label: [*c]const u8, current_item: [*c]c_int, items_getter: ?*const fn (?*anyopaque, c_int, [*c]const [*c]u8) callconv(.C) bool, data: ?*anyopaque, items_count: c_int, popup_max_height_in_items: c_int) bool;
pub const Combo__Overload3 = _3_ImGui_Combo_;
extern fn _1_ImGui_DragFloat_(label: [*c]const u8, v: [*c]f32, v_speed: f32, v_min: f32, v_max: f32, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const DragFloat = _1_ImGui_DragFloat_;
extern fn _1_ImGui_DragFloat2_(label: [*c]const u8, v: [*c]f32, v_speed: f32, v_min: f32, v_max: f32, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const DragFloat2 = _1_ImGui_DragFloat2_;
extern fn _1_ImGui_DragFloat3_(label: [*c]const u8, v: [*c]f32, v_speed: f32, v_min: f32, v_max: f32, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const DragFloat3 = _1_ImGui_DragFloat3_;
extern fn _1_ImGui_DragFloat4_(label: [*c]const u8, v: [*c]f32, v_speed: f32, v_min: f32, v_max: f32, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const DragFloat4 = _1_ImGui_DragFloat4_;
extern fn _1_ImGui_DragFloatRange2_(label: [*c]const u8, v_current_min: [*c]f32, v_current_max: [*c]f32, v_speed: f32, v_min: f32, v_max: f32, format: [*c]const u8, format_max: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const DragFloatRange2 = _1_ImGui_DragFloatRange2_;
extern fn _1_ImGui_DragInt_(label: [*c]const u8, v: [*c]c_int, v_speed: f32, v_min: c_int, v_max: c_int, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const DragInt = _1_ImGui_DragInt_;
extern fn _1_ImGui_DragInt2_(label: [*c]const u8, v: [*c]c_int, v_speed: f32, v_min: c_int, v_max: c_int, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const DragInt2 = _1_ImGui_DragInt2_;
extern fn _1_ImGui_DragInt3_(label: [*c]const u8, v: [*c]c_int, v_speed: f32, v_min: c_int, v_max: c_int, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const DragInt3 = _1_ImGui_DragInt3_;
extern fn _1_ImGui_DragInt4_(label: [*c]const u8, v: [*c]c_int, v_speed: f32, v_min: c_int, v_max: c_int, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const DragInt4 = _1_ImGui_DragInt4_;
extern fn _1_ImGui_DragIntRange2_(label: [*c]const u8, v_current_min: [*c]c_int, v_current_max: [*c]c_int, v_speed: f32, v_min: c_int, v_max: c_int, format: [*c]const u8, format_max: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const DragIntRange2 = _1_ImGui_DragIntRange2_;
extern fn _1_ImGui_DragScalar_(label: [*c]const u8, data_type: ImGuiDataType, p_data: ?*anyopaque, v_speed: f32, p_min: ?*const anyopaque, p_max: ?*const anyopaque, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const DragScalar = _1_ImGui_DragScalar_;
extern fn _1_ImGui_DragScalarN_(label: [*c]const u8, data_type: ImGuiDataType, p_data: ?*anyopaque, components: c_int, v_speed: f32, p_min: ?*const anyopaque, p_max: ?*const anyopaque, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const DragScalarN = _1_ImGui_DragScalarN_;
extern fn _1_ImGui_SliderFloat_(label: [*c]const u8, v: [*c]f32, v_min: f32, v_max: f32, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const SliderFloat = _1_ImGui_SliderFloat_;
extern fn _1_ImGui_SliderFloat2_(label: [*c]const u8, v: [*c]f32, v_min: f32, v_max: f32, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const SliderFloat2 = _1_ImGui_SliderFloat2_;
extern fn _1_ImGui_SliderFloat3_(label: [*c]const u8, v: [*c]f32, v_min: f32, v_max: f32, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const SliderFloat3 = _1_ImGui_SliderFloat3_;
extern fn _1_ImGui_SliderFloat4_(label: [*c]const u8, v: [*c]f32, v_min: f32, v_max: f32, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const SliderFloat4 = _1_ImGui_SliderFloat4_;
extern fn _1_ImGui_SliderAngle_(label: [*c]const u8, v_rad: [*c]f32, v_degrees_min: f32, v_degrees_max: f32, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const SliderAngle = _1_ImGui_SliderAngle_;
extern fn _1_ImGui_SliderInt_(label: [*c]const u8, v: [*c]c_int, v_min: c_int, v_max: c_int, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const SliderInt = _1_ImGui_SliderInt_;
extern fn _1_ImGui_SliderInt2_(label: [*c]const u8, v: [*c]c_int, v_min: c_int, v_max: c_int, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const SliderInt2 = _1_ImGui_SliderInt2_;
extern fn _1_ImGui_SliderInt3_(label: [*c]const u8, v: [*c]c_int, v_min: c_int, v_max: c_int, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const SliderInt3 = _1_ImGui_SliderInt3_;
extern fn _1_ImGui_SliderInt4_(label: [*c]const u8, v: [*c]c_int, v_min: c_int, v_max: c_int, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const SliderInt4 = _1_ImGui_SliderInt4_;
extern fn _1_ImGui_SliderScalar_(label: [*c]const u8, data_type: ImGuiDataType, p_data: ?*anyopaque, p_min: ?*const anyopaque, p_max: ?*const anyopaque, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const SliderScalar = _1_ImGui_SliderScalar_;
extern fn _1_ImGui_SliderScalarN_(label: [*c]const u8, data_type: ImGuiDataType, p_data: ?*anyopaque, components: c_int, p_min: ?*const anyopaque, p_max: ?*const anyopaque, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const SliderScalarN = _1_ImGui_SliderScalarN_;
extern fn _1_ImGui_VSliderFloat_(label: [*c]const u8, size: *const ImVec2, v: [*c]f32, v_min: f32, v_max: f32, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const VSliderFloat = _1_ImGui_VSliderFloat_;
extern fn _1_ImGui_VSliderInt_(label: [*c]const u8, size: *const ImVec2, v: [*c]c_int, v_min: c_int, v_max: c_int, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const VSliderInt = _1_ImGui_VSliderInt_;
extern fn _1_ImGui_VSliderScalar_(label: [*c]const u8, size: *const ImVec2, data_type: ImGuiDataType, p_data: ?*anyopaque, p_min: ?*const anyopaque, p_max: ?*const anyopaque, format: [*c]const u8, flags: ImGuiSliderFlags) bool;
pub const VSliderScalar = _1_ImGui_VSliderScalar_;
extern fn _1_ImGui_InputText_(label: [*c]const u8, buf: [*c]u8, buf_size: usize, flags: ImGuiInputTextFlags, callback: ImGuiInputTextCallback, user_data: ?*anyopaque) bool;
pub const InputText = _1_ImGui_InputText_;
extern fn _1_ImGui_InputTextMultiline_(label: [*c]const u8, buf: [*c]u8, buf_size: usize, size: *const ImVec2, flags: ImGuiInputTextFlags, callback: ImGuiInputTextCallback, user_data: ?*anyopaque) bool;
pub const InputTextMultiline = _1_ImGui_InputTextMultiline_;
extern fn _1_ImGui_InputTextWithHint_(label: [*c]const u8, hint: [*c]const u8, buf: [*c]u8, buf_size: usize, flags: ImGuiInputTextFlags, callback: ImGuiInputTextCallback, user_data: ?*anyopaque) bool;
pub const InputTextWithHint = _1_ImGui_InputTextWithHint_;
extern fn _1_ImGui_InputFloat_(label: [*c]const u8, v: [*c]f32, step: f32, step_fast: f32, format: [*c]const u8, flags: ImGuiInputTextFlags) bool;
pub const InputFloat = _1_ImGui_InputFloat_;
extern fn _1_ImGui_InputFloat2_(label: [*c]const u8, v: [*c]f32, format: [*c]const u8, flags: ImGuiInputTextFlags) bool;
pub const InputFloat2 = _1_ImGui_InputFloat2_;
extern fn _1_ImGui_InputFloat3_(label: [*c]const u8, v: [*c]f32, format: [*c]const u8, flags: ImGuiInputTextFlags) bool;
pub const InputFloat3 = _1_ImGui_InputFloat3_;
extern fn _1_ImGui_InputFloat4_(label: [*c]const u8, v: [*c]f32, format: [*c]const u8, flags: ImGuiInputTextFlags) bool;
pub const InputFloat4 = _1_ImGui_InputFloat4_;
extern fn _1_ImGui_InputInt_(label: [*c]const u8, v: [*c]c_int, step: c_int, step_fast: c_int, flags: ImGuiInputTextFlags) bool;
pub const InputInt = _1_ImGui_InputInt_;
extern fn _1_ImGui_InputInt2_(label: [*c]const u8, v: [*c]c_int, flags: ImGuiInputTextFlags) bool;
pub const InputInt2 = _1_ImGui_InputInt2_;
extern fn _1_ImGui_InputInt3_(label: [*c]const u8, v: [*c]c_int, flags: ImGuiInputTextFlags) bool;
pub const InputInt3 = _1_ImGui_InputInt3_;
extern fn _1_ImGui_InputInt4_(label: [*c]const u8, v: [*c]c_int, flags: ImGuiInputTextFlags) bool;
pub const InputInt4 = _1_ImGui_InputInt4_;
extern fn _1_ImGui_InputDouble_(label: [*c]const u8, v: [*c]f64, step: f64, step_fast: f64, format: [*c]const u8, flags: ImGuiInputTextFlags) bool;
pub const InputDouble = _1_ImGui_InputDouble_;
extern fn _1_ImGui_InputScalar_(label: [*c]const u8, data_type: ImGuiDataType, p_data: ?*anyopaque, p_step: ?*const anyopaque, p_step_fast: ?*const anyopaque, format: [*c]const u8, flags: ImGuiInputTextFlags) bool;
pub const InputScalar = _1_ImGui_InputScalar_;
extern fn _1_ImGui_InputScalarN_(label: [*c]const u8, data_type: ImGuiDataType, p_data: ?*anyopaque, components: c_int, p_step: ?*const anyopaque, p_step_fast: ?*const anyopaque, format: [*c]const u8, flags: ImGuiInputTextFlags) bool;
pub const InputScalarN = _1_ImGui_InputScalarN_;
extern fn _1_ImGui_ColorEdit3_(label: [*c]const u8, col: [*c]f32, flags: ImGuiColorEditFlags) bool;
pub const ColorEdit3 = _1_ImGui_ColorEdit3_;
extern fn _1_ImGui_ColorEdit4_(label: [*c]const u8, col: [*c]f32, flags: ImGuiColorEditFlags) bool;
pub const ColorEdit4 = _1_ImGui_ColorEdit4_;
extern fn _1_ImGui_ColorPicker3_(label: [*c]const u8, col: [*c]f32, flags: ImGuiColorEditFlags) bool;
pub const ColorPicker3 = _1_ImGui_ColorPicker3_;
extern fn _1_ImGui_ColorPicker4_(label: [*c]const u8, col: [*c]f32, flags: ImGuiColorEditFlags, ref_col: [*c]const f32) bool;
pub const ColorPicker4 = _1_ImGui_ColorPicker4_;
extern fn _1_ImGui_ColorButton_(desc_id: [*c]const u8, col: *const ImVec4, flags: ImGuiColorEditFlags, size: *const ImVec2) bool;
pub const ColorButton = _1_ImGui_ColorButton_;
extern fn _1_ImGui_SetColorEditOptions_(flags: ImGuiColorEditFlags) void;
pub const SetColorEditOptions = _1_ImGui_SetColorEditOptions_;
extern fn _1_ImGui_TreeNode_(label: [*c]const u8) bool;
pub const TreeNode = _1_ImGui_TreeNode_;
extern fn _1_ImGui_TreeNodeV_(str_id: [*c]const u8, fmt: [*c]const u8, args: [*c]u8) bool;
pub const TreeNodeV = _1_ImGui_TreeNodeV_;
extern fn _2_ImGui_TreeNodeV_(ptr_id: ?*const anyopaque, fmt: [*c]const u8, args: [*c]u8) bool;
pub const TreeNodeV__Overload2 = _2_ImGui_TreeNodeV_;
extern fn _1_ImGui_TreeNodeEx_(label: [*c]const u8, flags: ImGuiTreeNodeFlags) bool;
pub const TreeNodeEx = _1_ImGui_TreeNodeEx_;
extern fn _1_ImGui_TreeNodeExV_(str_id: [*c]const u8, flags: ImGuiTreeNodeFlags, fmt: [*c]const u8, args: [*c]u8) bool;
pub const TreeNodeExV = _1_ImGui_TreeNodeExV_;
extern fn _2_ImGui_TreeNodeExV_(ptr_id: ?*const anyopaque, flags: ImGuiTreeNodeFlags, fmt: [*c]const u8, args: [*c]u8) bool;
pub const TreeNodeExV__Overload2 = _2_ImGui_TreeNodeExV_;
extern fn _1_ImGui_TreePush_(str_id: [*c]const u8) void;
pub const TreePush = _1_ImGui_TreePush_;
extern fn _2_ImGui_TreePush_(ptr_id: ?*const anyopaque) void;
pub const TreePush__Overload2 = _2_ImGui_TreePush_;
extern fn _1_ImGui_TreePop_() void;
pub const TreePop = _1_ImGui_TreePop_;
extern fn _1_ImGui_GetTreeNodeToLabelSpacing_() f32;
pub const GetTreeNodeToLabelSpacing = _1_ImGui_GetTreeNodeToLabelSpacing_;
extern fn _1_ImGui_CollapsingHeader_(label: [*c]const u8, flags: ImGuiTreeNodeFlags) bool;
pub const CollapsingHeader = _1_ImGui_CollapsingHeader_;
extern fn _2_ImGui_CollapsingHeader_(label: [*c]const u8, p_visible: [*c]bool, flags: ImGuiTreeNodeFlags) bool;
pub const CollapsingHeader__Overload2 = _2_ImGui_CollapsingHeader_;
extern fn _1_ImGui_SetNextItemOpen_(is_open: bool, cond: ImGuiCond) void;
pub const SetNextItemOpen = _1_ImGui_SetNextItemOpen_;
extern fn _1_ImGui_Selectable_(label: [*c]const u8, selected: bool, flags: ImGuiSelectableFlags, size: *const ImVec2) bool;
pub const Selectable = _1_ImGui_Selectable_;
extern fn _2_ImGui_Selectable_(label: [*c]const u8, p_selected: [*c]bool, flags: ImGuiSelectableFlags, size: *const ImVec2) bool;
pub const Selectable__Overload2 = _2_ImGui_Selectable_;
extern fn _1_ImGui_BeginListBox_(label: [*c]const u8, size: *const ImVec2) bool;
pub const BeginListBox = _1_ImGui_BeginListBox_;
extern fn _1_ImGui_EndListBox_() void;
pub const EndListBox = _1_ImGui_EndListBox_;
extern fn _1_ImGui_ListBox_(label: [*c]const u8, current_item: [*c]c_int, items: [*c]const [*c]const u8, items_count: c_int, height_in_items: c_int) bool;
pub const ListBox = _1_ImGui_ListBox_;
extern fn _2_ImGui_ListBox_(label: [*c]const u8, current_item: [*c]c_int, items_getter: ?*const fn (?*anyopaque, c_int, [*c]const [*c]u8) callconv(.C) bool, data: ?*anyopaque, items_count: c_int, height_in_items: c_int) bool;
pub const ListBox__Overload2 = _2_ImGui_ListBox_;
extern fn _1_ImGui_PlotLines_(label: [*c]const u8, values: [*c]const f32, values_count: c_int, values_offset: c_int, overlay_text: [*c]const u8, scale_min: f32, scale_max: f32, graph_size: ImVec2, stride: c_int) void;
pub const PlotLines = _1_ImGui_PlotLines_;
extern fn _2_ImGui_PlotLines_(label: [*c]const u8, values_getter: ?*const fn (?*anyopaque, c_int) callconv(.C) f32, data: ?*anyopaque, values_count: c_int, values_offset: c_int, overlay_text: [*c]const u8, scale_min: f32, scale_max: f32, graph_size: ImVec2) void;
pub const PlotLines__Overload2 = _2_ImGui_PlotLines_;
extern fn _1_ImGui_PlotHistogram_(label: [*c]const u8, values: [*c]const f32, values_count: c_int, values_offset: c_int, overlay_text: [*c]const u8, scale_min: f32, scale_max: f32, graph_size: ImVec2, stride: c_int) void;
pub const PlotHistogram = _1_ImGui_PlotHistogram_;
extern fn _2_ImGui_PlotHistogram_(label: [*c]const u8, values_getter: ?*const fn (?*anyopaque, c_int) callconv(.C) f32, data: ?*anyopaque, values_count: c_int, values_offset: c_int, overlay_text: [*c]const u8, scale_min: f32, scale_max: f32, graph_size: ImVec2) void;
pub const PlotHistogram__Overload2 = _2_ImGui_PlotHistogram_;
extern fn _1_ImGui_Value_(prefix: [*c]const u8, b: bool) void;
pub const Value = _1_ImGui_Value_;
extern fn _2_ImGui_Value_(prefix: [*c]const u8, v: c_int) void;
pub const Value__Overload2 = _2_ImGui_Value_;
extern fn _3_ImGui_Value_(prefix: [*c]const u8, v: c_uint) void;
pub const Value__Overload3 = _3_ImGui_Value_;
extern fn _4_ImGui_Value_(prefix: [*c]const u8, v: f32, float_format: [*c]const u8) void;
pub const Value__Overload4 = _4_ImGui_Value_;
extern fn _1_ImGui_BeginMenuBar_() bool;
pub const BeginMenuBar = _1_ImGui_BeginMenuBar_;
extern fn _1_ImGui_EndMenuBar_() void;
pub const EndMenuBar = _1_ImGui_EndMenuBar_;
extern fn _1_ImGui_BeginMainMenuBar_() bool;
pub const BeginMainMenuBar = _1_ImGui_BeginMainMenuBar_;
extern fn _1_ImGui_EndMainMenuBar_() void;
pub const EndMainMenuBar = _1_ImGui_EndMainMenuBar_;
extern fn _1_ImGui_BeginMenu_(label: [*c]const u8, enabled: bool) bool;
pub const BeginMenu = _1_ImGui_BeginMenu_;
extern fn _1_ImGui_EndMenu_() void;
pub const EndMenu = _1_ImGui_EndMenu_;
extern fn _1_ImGui_MenuItem_(label: [*c]const u8, shortcut: [*c]const u8, selected: bool, enabled: bool) bool;
pub const MenuItem = _1_ImGui_MenuItem_;
extern fn _2_ImGui_MenuItem_(label: [*c]const u8, shortcut: [*c]const u8, p_selected: [*c]bool, enabled: bool) bool;
pub const MenuItem__Overload2 = _2_ImGui_MenuItem_;
extern fn _1_ImGui_BeginTooltip_() bool;
pub const BeginTooltip = _1_ImGui_BeginTooltip_;
extern fn _1_ImGui_EndTooltip_() void;
pub const EndTooltip = _1_ImGui_EndTooltip_;
extern fn _1_ImGui_SetTooltipV_(fmt: [*c]const u8, args: [*c]u8) void;
pub const SetTooltipV = _1_ImGui_SetTooltipV_;
extern fn _1_ImGui_BeginPopup_(str_id: [*c]const u8, flags: ImGuiWindowFlags) bool;
pub const BeginPopup = _1_ImGui_BeginPopup_;
extern fn _1_ImGui_BeginPopupModal_(name: [*c]const u8, p_open: [*c]bool, flags: ImGuiWindowFlags) bool;
pub const BeginPopupModal = _1_ImGui_BeginPopupModal_;
extern fn _1_ImGui_EndPopup_() void;
pub const EndPopup = _1_ImGui_EndPopup_;
extern fn _1_ImGui_OpenPopup_(str_id: [*c]const u8, popup_flags: ImGuiPopupFlags) void;
pub const OpenPopup = _1_ImGui_OpenPopup_;
extern fn _2_ImGui_OpenPopup_(id: ImGuiID, popup_flags: ImGuiPopupFlags) void;
pub const OpenPopup__Overload2 = _2_ImGui_OpenPopup_;
extern fn _1_ImGui_OpenPopupOnItemClick_(str_id: [*c]const u8, popup_flags: ImGuiPopupFlags) void;
pub const OpenPopupOnItemClick = _1_ImGui_OpenPopupOnItemClick_;
extern fn _1_ImGui_CloseCurrentPopup_() void;
pub const CloseCurrentPopup = _1_ImGui_CloseCurrentPopup_;
extern fn _1_ImGui_BeginPopupContextItem_(str_id: [*c]const u8, popup_flags: ImGuiPopupFlags) bool;
pub const BeginPopupContextItem = _1_ImGui_BeginPopupContextItem_;
extern fn _1_ImGui_BeginPopupContextWindow_(str_id: [*c]const u8, popup_flags: ImGuiPopupFlags) bool;
pub const BeginPopupContextWindow = _1_ImGui_BeginPopupContextWindow_;
extern fn _1_ImGui_BeginPopupContextVoid_(str_id: [*c]const u8, popup_flags: ImGuiPopupFlags) bool;
pub const BeginPopupContextVoid = _1_ImGui_BeginPopupContextVoid_;
extern fn _1_ImGui_IsPopupOpen_(str_id: [*c]const u8, flags: ImGuiPopupFlags) bool;
pub const IsPopupOpen = _1_ImGui_IsPopupOpen_;
extern fn _1_ImGui_BeginTable_(str_id: [*c]const u8, column: c_int, flags: ImGuiTableFlags, outer_size: *const ImVec2, inner_width: f32) bool;
pub const BeginTable = _1_ImGui_BeginTable_;
extern fn _1_ImGui_EndTable_() void;
pub const EndTable = _1_ImGui_EndTable_;
extern fn _1_ImGui_TableNextRow_(row_flags: ImGuiTableRowFlags, min_row_height: f32) void;
pub const TableNextRow = _1_ImGui_TableNextRow_;
extern fn _1_ImGui_TableNextColumn_() bool;
pub const TableNextColumn = _1_ImGui_TableNextColumn_;
extern fn _1_ImGui_TableSetColumnIndex_(column_n: c_int) bool;
pub const TableSetColumnIndex = _1_ImGui_TableSetColumnIndex_;
extern fn _1_ImGui_TableSetupColumn_(label: [*c]const u8, flags: ImGuiTableColumnFlags, init_width_or_weight: f32, user_id: ImGuiID) void;
pub const TableSetupColumn = _1_ImGui_TableSetupColumn_;
extern fn _1_ImGui_TableSetupScrollFreeze_(cols: c_int, rows: c_int) void;
pub const TableSetupScrollFreeze = _1_ImGui_TableSetupScrollFreeze_;
extern fn _1_ImGui_TableHeadersRow_() void;
pub const TableHeadersRow = _1_ImGui_TableHeadersRow_;
extern fn _1_ImGui_TableHeader_(label: [*c]const u8) void;
pub const TableHeader = _1_ImGui_TableHeader_;
extern fn _1_ImGui_TableGetSortSpecs_() [*c]ImGuiTableSortSpecs;
pub const TableGetSortSpecs = _1_ImGui_TableGetSortSpecs_;
extern fn _1_ImGui_TableGetColumnCount_() c_int;
pub const TableGetColumnCount = _1_ImGui_TableGetColumnCount_;
extern fn _1_ImGui_TableGetColumnIndex_() c_int;
pub const TableGetColumnIndex = _1_ImGui_TableGetColumnIndex_;
extern fn _1_ImGui_TableGetRowIndex_() c_int;
pub const TableGetRowIndex = _1_ImGui_TableGetRowIndex_;
extern fn _1_ImGui_TableGetColumnName_(column_n: c_int) [*c]const u8;
pub const TableGetColumnName = _1_ImGui_TableGetColumnName_;
extern fn _1_ImGui_TableGetColumnFlags_(column_n: c_int) ImGuiTableColumnFlags;
pub const TableGetColumnFlags = _1_ImGui_TableGetColumnFlags_;
extern fn _1_ImGui_TableSetColumnEnabled_(column_n: c_int, v: bool) void;
pub const TableSetColumnEnabled = _1_ImGui_TableSetColumnEnabled_;
extern fn _1_ImGui_TableSetBgColor_(target: ImGuiTableBgTarget, color: ImU32, column_n: c_int) void;
pub const TableSetBgColor = _1_ImGui_TableSetBgColor_;
extern fn _1_ImGui_Columns_(count: c_int, id: [*c]const u8, border: bool) void;
pub const Columns = _1_ImGui_Columns_;
extern fn _1_ImGui_NextColumn_() void;
pub const NextColumn = _1_ImGui_NextColumn_;
extern fn _1_ImGui_GetColumnIndex_() c_int;
pub const GetColumnIndex = _1_ImGui_GetColumnIndex_;
extern fn _1_ImGui_GetColumnWidth_(column_index: c_int) f32;
pub const GetColumnWidth = _1_ImGui_GetColumnWidth_;
extern fn _1_ImGui_SetColumnWidth_(column_index: c_int, width: f32) void;
pub const SetColumnWidth = _1_ImGui_SetColumnWidth_;
extern fn _1_ImGui_GetColumnOffset_(column_index: c_int) f32;
pub const GetColumnOffset = _1_ImGui_GetColumnOffset_;
extern fn _1_ImGui_SetColumnOffset_(column_index: c_int, offset_x: f32) void;
pub const SetColumnOffset = _1_ImGui_SetColumnOffset_;
extern fn _1_ImGui_GetColumnsCount_() c_int;
pub const GetColumnsCount = _1_ImGui_GetColumnsCount_;
extern fn _1_ImGui_BeginTabBar_(str_id: [*c]const u8, flags: ImGuiTabBarFlags) bool;
pub const BeginTabBar = _1_ImGui_BeginTabBar_;
extern fn _1_ImGui_EndTabBar_() void;
pub const EndTabBar = _1_ImGui_EndTabBar_;
extern fn _1_ImGui_BeginTabItem_(label: [*c]const u8, p_open: [*c]bool, flags: ImGuiTabItemFlags) bool;
pub const BeginTabItem = _1_ImGui_BeginTabItem_;
extern fn _1_ImGui_EndTabItem_() void;
pub const EndTabItem = _1_ImGui_EndTabItem_;
extern fn _1_ImGui_TabItemButton_(label: [*c]const u8, flags: ImGuiTabItemFlags) bool;
pub const TabItemButton = _1_ImGui_TabItemButton_;
extern fn _1_ImGui_SetTabItemClosed_(tab_or_docked_window_label: [*c]const u8) void;
pub const SetTabItemClosed = _1_ImGui_SetTabItemClosed_;
extern fn _1_ImGui_DockSpace_(id: ImGuiID, size: *const ImVec2, flags: ImGuiDockNodeFlags, window_class: [*c]const ImGuiWindowClass) ImGuiID;
pub const DockSpace = _1_ImGui_DockSpace_;
extern fn _1_ImGui_DockSpaceOverViewport_(viewport: [*c]const ImGuiViewport, flags: ImGuiDockNodeFlags, window_class: [*c]const ImGuiWindowClass) ImGuiID;
pub const DockSpaceOverViewport = _1_ImGui_DockSpaceOverViewport_;
extern fn _1_ImGui_SetNextWindowDockID_(dock_id: ImGuiID, cond: ImGuiCond) void;
pub const SetNextWindowDockID = _1_ImGui_SetNextWindowDockID_;
extern fn _1_ImGui_SetNextWindowClass_(window_class: [*c]const ImGuiWindowClass) void;
pub const SetNextWindowClass = _1_ImGui_SetNextWindowClass_;
extern fn _1_ImGui_GetWindowDockID_() ImGuiID;
pub const GetWindowDockID = _1_ImGui_GetWindowDockID_;
extern fn _1_ImGui_IsWindowDocked_() bool;
pub const IsWindowDocked = _1_ImGui_IsWindowDocked_;
extern fn _1_ImGui_LogToTTY_(auto_open_depth: c_int) void;
pub const LogToTTY = _1_ImGui_LogToTTY_;
extern fn _1_ImGui_LogToFile_(auto_open_depth: c_int, filename: [*c]const u8) void;
pub const LogToFile = _1_ImGui_LogToFile_;
extern fn _1_ImGui_LogToClipboard_(auto_open_depth: c_int) void;
pub const LogToClipboard = _1_ImGui_LogToClipboard_;
extern fn _1_ImGui_LogFinish_() void;
pub const LogFinish = _1_ImGui_LogFinish_;
extern fn _1_ImGui_LogButtons_() void;
pub const LogButtons = _1_ImGui_LogButtons_;
extern fn _1_ImGui_LogTextV_(fmt: [*c]const u8, args: [*c]u8) void;
pub const LogTextV = _1_ImGui_LogTextV_;
extern fn _1_ImGui_BeginDragDropSource_(flags: ImGuiDragDropFlags) bool;
pub const BeginDragDropSource = _1_ImGui_BeginDragDropSource_;
extern fn _1_ImGui_SetDragDropPayload_(type: [*c]const u8, data: ?*const anyopaque, sz: usize, cond: ImGuiCond) bool;
pub const SetDragDropPayload = _1_ImGui_SetDragDropPayload_;
extern fn _1_ImGui_EndDragDropSource_() void;
pub const EndDragDropSource = _1_ImGui_EndDragDropSource_;
extern fn _1_ImGui_BeginDragDropTarget_() bool;
pub const BeginDragDropTarget = _1_ImGui_BeginDragDropTarget_;
extern fn _1_ImGui_AcceptDragDropPayload_(type: [*c]const u8, flags: ImGuiDragDropFlags) [*c]const ImGuiPayload;
pub const AcceptDragDropPayload = _1_ImGui_AcceptDragDropPayload_;
extern fn _1_ImGui_EndDragDropTarget_() void;
pub const EndDragDropTarget = _1_ImGui_EndDragDropTarget_;
extern fn _1_ImGui_GetDragDropPayload_() [*c]const ImGuiPayload;
pub const GetDragDropPayload = _1_ImGui_GetDragDropPayload_;
extern fn _1_ImGui_BeginDisabled_(disabled: bool) void;
pub const BeginDisabled = _1_ImGui_BeginDisabled_;
extern fn _1_ImGui_EndDisabled_() void;
pub const EndDisabled = _1_ImGui_EndDisabled_;
extern fn _1_ImGui_PushClipRect_(clip_rect_min: *const ImVec2, clip_rect_max: *const ImVec2, intersect_with_current_clip_rect: bool) void;
pub const PushClipRect = _1_ImGui_PushClipRect_;
extern fn _1_ImGui_PopClipRect_() void;
pub const PopClipRect = _1_ImGui_PopClipRect_;
extern fn _1_ImGui_SetItemDefaultFocus_() void;
pub const SetItemDefaultFocus = _1_ImGui_SetItemDefaultFocus_;
extern fn _1_ImGui_SetKeyboardFocusHere_(offset: c_int) void;
pub const SetKeyboardFocusHere = _1_ImGui_SetKeyboardFocusHere_;
extern fn _1_ImGui_IsItemHovered_(flags: ImGuiHoveredFlags) bool;
pub const IsItemHovered = _1_ImGui_IsItemHovered_;
extern fn _1_ImGui_IsItemActive_() bool;
pub const IsItemActive = _1_ImGui_IsItemActive_;
extern fn _1_ImGui_IsItemFocused_() bool;
pub const IsItemFocused = _1_ImGui_IsItemFocused_;
extern fn _1_ImGui_IsItemClicked_(mouse_button: ImGuiMouseButton) bool;
pub const IsItemClicked = _1_ImGui_IsItemClicked_;
extern fn _1_ImGui_IsItemVisible_() bool;
pub const IsItemVisible = _1_ImGui_IsItemVisible_;
extern fn _1_ImGui_IsItemEdited_() bool;
pub const IsItemEdited = _1_ImGui_IsItemEdited_;
extern fn _1_ImGui_IsItemActivated_() bool;
pub const IsItemActivated = _1_ImGui_IsItemActivated_;
extern fn _1_ImGui_IsItemDeactivated_() bool;
pub const IsItemDeactivated = _1_ImGui_IsItemDeactivated_;
extern fn _1_ImGui_IsItemDeactivatedAfterEdit_() bool;
pub const IsItemDeactivatedAfterEdit = _1_ImGui_IsItemDeactivatedAfterEdit_;
extern fn _1_ImGui_IsItemToggledOpen_() bool;
pub const IsItemToggledOpen = _1_ImGui_IsItemToggledOpen_;
extern fn _1_ImGui_IsAnyItemHovered_() bool;
pub const IsAnyItemHovered = _1_ImGui_IsAnyItemHovered_;
extern fn _1_ImGui_IsAnyItemActive_() bool;
pub const IsAnyItemActive = _1_ImGui_IsAnyItemActive_;
extern fn _1_ImGui_IsAnyItemFocused_() bool;
pub const IsAnyItemFocused = _1_ImGui_IsAnyItemFocused_;
extern fn _1_ImGui_GetItemID_() ImGuiID;
pub const GetItemID = _1_ImGui_GetItemID_;
extern fn _1_ImGui_GetItemRectMin_() ImVec2;
pub const GetItemRectMin = _1_ImGui_GetItemRectMin_;
extern fn _1_ImGui_GetItemRectMax_() ImVec2;
pub const GetItemRectMax = _1_ImGui_GetItemRectMax_;
extern fn _1_ImGui_GetItemRectSize_() ImVec2;
pub const GetItemRectSize = _1_ImGui_GetItemRectSize_;
extern fn _1_ImGui_SetItemAllowOverlap_() void;
pub const SetItemAllowOverlap = _1_ImGui_SetItemAllowOverlap_;
extern fn _1_ImGui_GetMainViewport_() [*c]ImGuiViewport;
pub const GetMainViewport = _1_ImGui_GetMainViewport_;
extern fn _1_ImGui_GetBackgroundDrawList_() [*c]ImDrawList;
pub const GetBackgroundDrawList = _1_ImGui_GetBackgroundDrawList_;
extern fn _1_ImGui_GetForegroundDrawList_() [*c]ImDrawList;
pub const GetForegroundDrawList = _1_ImGui_GetForegroundDrawList_;
extern fn _2_ImGui_GetBackgroundDrawList_(viewport: [*c]ImGuiViewport) [*c]ImDrawList;
pub const GetBackgroundDrawList__Overload2 = _2_ImGui_GetBackgroundDrawList_;
extern fn _2_ImGui_GetForegroundDrawList_(viewport: [*c]ImGuiViewport) [*c]ImDrawList;
pub const GetForegroundDrawList__Overload2 = _2_ImGui_GetForegroundDrawList_;
extern fn _1_ImGui_IsRectVisible_(size: *const ImVec2) bool;
pub const IsRectVisible = _1_ImGui_IsRectVisible_;
extern fn _2_ImGui_IsRectVisible_(rect_min: *const ImVec2, rect_max: *const ImVec2) bool;
pub const IsRectVisible__Overload2 = _2_ImGui_IsRectVisible_;
extern fn _1_ImGui_GetTime_() f64;
pub const GetTime = _1_ImGui_GetTime_;
extern fn _1_ImGui_GetFrameCount_() c_int;
pub const GetFrameCount = _1_ImGui_GetFrameCount_;
extern fn _1_ImGui_GetDrawListSharedData_() [*c]ImDrawListSharedData;
pub const GetDrawListSharedData = _1_ImGui_GetDrawListSharedData_;
extern fn _1_ImGui_GetStyleColorName_(idx: ImGuiCol) [*c]const u8;
pub const GetStyleColorName = _1_ImGui_GetStyleColorName_;
extern fn _1_ImGui_SetStateStorage_(storage: [*c]ImGuiStorage) void;
pub const SetStateStorage = _1_ImGui_SetStateStorage_;
extern fn _1_ImGui_GetStateStorage_() [*c]ImGuiStorage;
pub const GetStateStorage = _1_ImGui_GetStateStorage_;
extern fn _1_ImGui_BeginChildFrame_(id: ImGuiID, size: *const ImVec2, flags: ImGuiWindowFlags) bool;
pub const BeginChildFrame = _1_ImGui_BeginChildFrame_;
extern fn _1_ImGui_EndChildFrame_() void;
pub const EndChildFrame = _1_ImGui_EndChildFrame_;
extern fn _1_ImGui_CalcTextSize_(text: [*c]const u8, text_end: [*c]const u8, hide_text_after_double_hash: bool, wrap_width: f32) ImVec2;
pub const CalcTextSize = _1_ImGui_CalcTextSize_;
extern fn _1_ImGui_ColorConvertU32ToFloat4_(in: ImU32) ImVec4;
pub const ColorConvertU32ToFloat4 = _1_ImGui_ColorConvertU32ToFloat4_;
extern fn _1_ImGui_ColorConvertFloat4ToU32_(in: *const ImVec4) ImU32;
pub const ColorConvertFloat4ToU32 = _1_ImGui_ColorConvertFloat4ToU32_;
extern fn _1_ImGui_ColorConvertRGBtoHSV_(r: f32, g: f32, b: f32, out_h: *f32, out_s: *f32, out_v: *f32) void;
pub const ColorConvertRGBtoHSV = _1_ImGui_ColorConvertRGBtoHSV_;
extern fn _1_ImGui_ColorConvertHSVtoRGB_(h: f32, s: f32, v: f32, out_r: *f32, out_g: *f32, out_b: *f32) void;
pub const ColorConvertHSVtoRGB = _1_ImGui_ColorConvertHSVtoRGB_;
extern fn _1_ImGui_IsKeyDown_(key: ImGuiKey) bool;
pub const IsKeyDown = _1_ImGui_IsKeyDown_;
extern fn _1_ImGui_IsKeyPressed_(key: ImGuiKey, repeat: bool) bool;
pub const IsKeyPressed = _1_ImGui_IsKeyPressed_;
extern fn _1_ImGui_IsKeyReleased_(key: ImGuiKey) bool;
pub const IsKeyReleased = _1_ImGui_IsKeyReleased_;
extern fn _1_ImGui_GetKeyPressedAmount_(key: ImGuiKey, repeat_delay: f32, rate: f32) c_int;
pub const GetKeyPressedAmount = _1_ImGui_GetKeyPressedAmount_;
extern fn _1_ImGui_GetKeyName_(key: ImGuiKey) [*c]const u8;
pub const GetKeyName = _1_ImGui_GetKeyName_;
extern fn _1_ImGui_SetNextFrameWantCaptureKeyboard_(want_capture_keyboard: bool) void;
pub const SetNextFrameWantCaptureKeyboard = _1_ImGui_SetNextFrameWantCaptureKeyboard_;
extern fn _1_ImGui_IsMouseDown_(button: ImGuiMouseButton) bool;
pub const IsMouseDown = _1_ImGui_IsMouseDown_;
extern fn _1_ImGui_IsMouseClicked_(button: ImGuiMouseButton, repeat: bool) bool;
pub const IsMouseClicked = _1_ImGui_IsMouseClicked_;
extern fn _1_ImGui_IsMouseReleased_(button: ImGuiMouseButton) bool;
pub const IsMouseReleased = _1_ImGui_IsMouseReleased_;
extern fn _1_ImGui_IsMouseDoubleClicked_(button: ImGuiMouseButton) bool;
pub const IsMouseDoubleClicked = _1_ImGui_IsMouseDoubleClicked_;
extern fn _1_ImGui_GetMouseClickedCount_(button: ImGuiMouseButton) c_int;
pub const GetMouseClickedCount = _1_ImGui_GetMouseClickedCount_;
extern fn _1_ImGui_IsMouseHoveringRect_(r_min: *const ImVec2, r_max: *const ImVec2, clip: bool) bool;
pub const IsMouseHoveringRect = _1_ImGui_IsMouseHoveringRect_;
extern fn _1_ImGui_IsMousePosValid_(mouse_pos: [*c]const ImVec2) bool;
pub const IsMousePosValid = _1_ImGui_IsMousePosValid_;
extern fn _1_ImGui_IsAnyMouseDown_() bool;
pub const IsAnyMouseDown = _1_ImGui_IsAnyMouseDown_;
extern fn _1_ImGui_GetMousePos_() ImVec2;
pub const GetMousePos = _1_ImGui_GetMousePos_;
extern fn _1_ImGui_GetMousePosOnOpeningCurrentPopup_() ImVec2;
pub const GetMousePosOnOpeningCurrentPopup = _1_ImGui_GetMousePosOnOpeningCurrentPopup_;
extern fn _1_ImGui_IsMouseDragging_(button: ImGuiMouseButton, lock_threshold: f32) bool;
pub const IsMouseDragging = _1_ImGui_IsMouseDragging_;
extern fn _1_ImGui_GetMouseDragDelta_(button: ImGuiMouseButton, lock_threshold: f32) ImVec2;
pub const GetMouseDragDelta = _1_ImGui_GetMouseDragDelta_;
extern fn _1_ImGui_ResetMouseDragDelta_(button: ImGuiMouseButton) void;
pub const ResetMouseDragDelta = _1_ImGui_ResetMouseDragDelta_;
extern fn _1_ImGui_GetMouseCursor_() ImGuiMouseCursor;
pub const GetMouseCursor = _1_ImGui_GetMouseCursor_;
extern fn _1_ImGui_SetMouseCursor_(cursor_type: ImGuiMouseCursor) void;
pub const SetMouseCursor = _1_ImGui_SetMouseCursor_;
extern fn _1_ImGui_SetNextFrameWantCaptureMouse_(want_capture_mouse: bool) void;
pub const SetNextFrameWantCaptureMouse = _1_ImGui_SetNextFrameWantCaptureMouse_;
extern fn _1_ImGui_GetClipboardText_() [*c]const u8;
pub const GetClipboardText = _1_ImGui_GetClipboardText_;
extern fn _1_ImGui_SetClipboardText_(text: [*c]const u8) void;
pub const SetClipboardText = _1_ImGui_SetClipboardText_;
extern fn _1_ImGui_LoadIniSettingsFromDisk_(ini_filename: [*c]const u8) void;
pub const LoadIniSettingsFromDisk = _1_ImGui_LoadIniSettingsFromDisk_;
extern fn _1_ImGui_LoadIniSettingsFromMemory_(ini_data: [*c]const u8, ini_size: usize) void;
pub const LoadIniSettingsFromMemory = _1_ImGui_LoadIniSettingsFromMemory_;
extern fn _1_ImGui_SaveIniSettingsToDisk_(ini_filename: [*c]const u8) void;
pub const SaveIniSettingsToDisk = _1_ImGui_SaveIniSettingsToDisk_;
extern fn _1_ImGui_SaveIniSettingsToMemory_(out_ini_size: [*c]usize) [*c]const u8;
pub const SaveIniSettingsToMemory = _1_ImGui_SaveIniSettingsToMemory_;
extern fn _1_ImGui_DebugTextEncoding_(text: [*c]const u8) void;
pub const DebugTextEncoding = _1_ImGui_DebugTextEncoding_;
extern fn _1_ImGui_DebugCheckVersionAndDataLayout_(version_str: [*c]const u8, sz_io: usize, sz_style: usize, sz_vec2: usize, sz_vec4: usize, sz_drawvert: usize, sz_drawidx: usize) bool;
pub const DebugCheckVersionAndDataLayout = _1_ImGui_DebugCheckVersionAndDataLayout_;
extern fn _1_ImGui_SetAllocatorFunctions_(alloc_func: ImGuiMemAllocFunc, free_func: ImGuiMemFreeFunc, user_data: ?*anyopaque) void;
pub const SetAllocatorFunctions = _1_ImGui_SetAllocatorFunctions_;
extern fn _1_ImGui_GetAllocatorFunctions_(p_alloc_func: [*c]ImGuiMemAllocFunc, p_free_func: [*c]ImGuiMemFreeFunc, p_user_data: [*c]?*anyopaque) void;
pub const GetAllocatorFunctions = _1_ImGui_GetAllocatorFunctions_;
extern fn _1_ImGui_MemAlloc_(size: usize) ?*anyopaque;
pub const MemAlloc = _1_ImGui_MemAlloc_;
extern fn _1_ImGui_MemFree_(ptr: ?*anyopaque) void;
pub const MemFree = _1_ImGui_MemFree_;
extern fn _1_ImGui_GetPlatformIO_() *ImGuiPlatformIO;
pub const GetPlatformIO = _1_ImGui_GetPlatformIO_;
extern fn _1_ImGui_UpdatePlatformWindows_() void;
pub const UpdatePlatformWindows = _1_ImGui_UpdatePlatformWindows_;
extern fn _1_ImGui_RenderPlatformWindowsDefault_(platform_render_arg: ?*anyopaque, renderer_render_arg: ?*anyopaque) void;
pub const RenderPlatformWindowsDefault = _1_ImGui_RenderPlatformWindowsDefault_;
extern fn _1_ImGui_DestroyPlatformWindows_() void;
pub const DestroyPlatformWindows = _1_ImGui_DestroyPlatformWindows_;
extern fn _1_ImGui_FindViewportByID_(id: ImGuiID) [*c]ImGuiViewport;
pub const FindViewportByID = _1_ImGui_FindViewportByID_;
extern fn _1_ImGui_FindViewportByPlatformHandle_(platform_handle: ?*anyopaque) [*c]ImGuiViewport;
pub const FindViewportByPlatformHandle = _1_ImGui_FindViewportByPlatformHandle_;
pub const ImGuiWindowFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 0) };
pub const NoTitleBar: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const NoResize: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const NoMove: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const NoScrollbar: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const NoScrollWithMouse: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const NoCollapse: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const AlwaysAutoResize: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub const NoBackground: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 7) };
pub const NoSavedSettings: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 8) };
pub const NoMouseInputs: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 9) };
pub const MenuBar: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 10) };
pub const HorizontalScrollbar: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 11) };
pub const NoFocusOnAppearing: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 12) };
pub const NoBringToFrontOnFocus: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 13) };
pub const AlwaysVerticalScrollbar: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 14) };
pub const AlwaysHorizontalScrollbar: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 15) };
pub const AlwaysUseWindowPadding: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 16) };
pub const NoNavInputs: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 18) };
pub const NoNavFocus: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 19) };
pub const UnsavedDocument: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 20) };
pub const NoDocking: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 21) };
pub const NoNav: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, ImGuiWindowFlags.NoNavInputs.bits | ImGuiWindowFlags.NoNavFocus.bits) };
pub const NoDecoration: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, ImGuiWindowFlags.NoTitleBar.bits | ImGuiWindowFlags.NoResize.bits | ImGuiWindowFlags.NoScrollbar.bits | ImGuiWindowFlags.NoCollapse.bits) };
pub const NoInputs: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, ImGuiWindowFlags.NoMouseInputs.bits | ImGuiWindowFlags.NoNavInputs.bits | ImGuiWindowFlags.NoNavFocus.bits) };
pub const NavFlattened: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 23) };
pub const ChildWindow: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 24) };
pub const Tooltip: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 25) };
pub const Popup: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 26) };
pub const Modal: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 27) };
pub const ChildMenu: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 28) };
pub const DockNodeHost: ImGuiWindowFlags = .{ .bits = @intCast(c_uint, 1 << 29) };
pub usingnamespace cpp.FlagsMixin(ImGuiWindowFlags);
};
pub const ImGuiInputTextFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 0) };
pub const CharsDecimal: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const CharsHexadecimal: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const CharsUppercase: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const CharsNoBlank: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const AutoSelectAll: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const EnterReturnsTrue: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const CallbackCompletion: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub const CallbackHistory: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 7) };
pub const CallbackAlways: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 8) };
pub const CallbackCharFilter: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 9) };
pub const AllowTabInput: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 10) };
pub const CtrlEnterForNewLine: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 11) };
pub const NoHorizontalScroll: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 12) };
pub const AlwaysOverwrite: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 13) };
pub const ReadOnly: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 14) };
pub const Password: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 15) };
pub const NoUndoRedo: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 16) };
pub const CharsScientific: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 17) };
pub const CallbackResize: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 18) };
pub const CallbackEdit: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 19) };
pub const EscapeClearsAll: ImGuiInputTextFlags = .{ .bits = @intCast(c_uint, 1 << 20) };
pub usingnamespace cpp.FlagsMixin(ImGuiInputTextFlags);
};
pub const ImGuiTreeNodeFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 0) };
pub const Selected: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const Framed: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const AllowItemOverlap: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const NoTreePushOnOpen: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const NoAutoOpenOnLog: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const DefaultOpen: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const OpenOnDoubleClick: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub const OpenOnArrow: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 1 << 7) };
pub const Leaf: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 1 << 8) };
pub const Bullet: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 1 << 9) };
pub const FramePadding: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 1 << 10) };
pub const SpanAvailWidth: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 1 << 11) };
pub const SpanFullWidth: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 1 << 12) };
pub const NavLeftJumpsBackHere: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, 1 << 13) };
pub const CollapsingHeader: ImGuiTreeNodeFlags = .{ .bits = @intCast(c_uint, ImGuiTreeNodeFlags.Framed.bits | ImGuiTreeNodeFlags.NoTreePushOnOpen.bits | ImGuiTreeNodeFlags.NoAutoOpenOnLog.bits) };
pub usingnamespace cpp.FlagsMixin(ImGuiTreeNodeFlags);
};
pub const ImGuiPopupFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiPopupFlags = .{ .bits = @intCast(c_uint, 0) };
pub const MouseButtonLeft: ImGuiPopupFlags = .{ .bits = @intCast(c_uint, 0) };
pub const MouseButtonRight: ImGuiPopupFlags = .{ .bits = @intCast(c_uint, 1) };
pub const MouseButtonMiddle: ImGuiPopupFlags = .{ .bits = @intCast(c_uint, 2) };
pub const MouseButtonMask: ImGuiPopupFlags = .{ .bits = @intCast(c_uint, 31) };
pub const MouseButtonDefault: ImGuiPopupFlags = .{ .bits = @intCast(c_uint, 1) };
pub const NoOpenOverExistingPopup: ImGuiPopupFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const NoOpenOverItems: ImGuiPopupFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub const AnyPopupId: ImGuiPopupFlags = .{ .bits = @intCast(c_uint, 1 << 7) };
pub const AnyPopupLevel: ImGuiPopupFlags = .{ .bits = @intCast(c_uint, 1 << 8) };
pub const AnyPopup: ImGuiPopupFlags = .{ .bits = @intCast(c_uint, ImGuiPopupFlags.AnyPopupId.bits | ImGuiPopupFlags.AnyPopupLevel.bits) };
pub usingnamespace cpp.FlagsMixin(ImGuiPopupFlags);
};
pub const ImGuiSelectableFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiSelectableFlags = .{ .bits = @intCast(c_uint, 0) };
pub const DontClosePopups: ImGuiSelectableFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const SpanAllColumns: ImGuiSelectableFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const AllowDoubleClick: ImGuiSelectableFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const Disabled: ImGuiSelectableFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const AllowItemOverlap: ImGuiSelectableFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub usingnamespace cpp.FlagsMixin(ImGuiSelectableFlags);
};
pub const ImGuiComboFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiComboFlags = .{ .bits = @intCast(c_uint, 0) };
pub const PopupAlignLeft: ImGuiComboFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const HeightSmall: ImGuiComboFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const HeightRegular: ImGuiComboFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const HeightLarge: ImGuiComboFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const HeightLargest: ImGuiComboFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const NoArrowButton: ImGuiComboFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const NoPreview: ImGuiComboFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub const HeightMask_: ImGuiComboFlags = .{ .bits = @intCast(c_uint, ImGuiComboFlags.HeightSmall.bits | ImGuiComboFlags.HeightRegular.bits | ImGuiComboFlags.HeightLarge.bits | ImGuiComboFlags.HeightLargest.bits) };
pub usingnamespace cpp.FlagsMixin(ImGuiComboFlags);
};
pub const ImGuiTabBarFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiTabBarFlags = .{ .bits = @intCast(c_uint, 0) };
pub const Reorderable: ImGuiTabBarFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const AutoSelectNewTabs: ImGuiTabBarFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const TabListPopupButton: ImGuiTabBarFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const NoCloseWithMiddleMouseButton: ImGuiTabBarFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const NoTabListScrollingButtons: ImGuiTabBarFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const NoTooltip: ImGuiTabBarFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const FittingPolicyResizeDown: ImGuiTabBarFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub const FittingPolicyScroll: ImGuiTabBarFlags = .{ .bits = @intCast(c_uint, 1 << 7) };
pub const FittingPolicyMask_: ImGuiTabBarFlags = .{ .bits = @intCast(c_uint, ImGuiTabBarFlags.FittingPolicyResizeDown.bits | ImGuiTabBarFlags.FittingPolicyScroll.bits) };
pub const FittingPolicyDefault_: ImGuiTabBarFlags = .{ .bits = @intCast(c_uint, ImGuiTabBarFlags.FittingPolicyResizeDown.bits) };
pub usingnamespace cpp.FlagsMixin(ImGuiTabBarFlags);
};
pub const ImGuiTabItemFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiTabItemFlags = .{ .bits = @intCast(c_uint, 0) };
pub const UnsavedDocument: ImGuiTabItemFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const SetSelected: ImGuiTabItemFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const NoCloseWithMiddleMouseButton: ImGuiTabItemFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const NoPushId: ImGuiTabItemFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const NoTooltip: ImGuiTabItemFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const NoReorder: ImGuiTabItemFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const Leading: ImGuiTabItemFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub const Trailing: ImGuiTabItemFlags = .{ .bits = @intCast(c_uint, 1 << 7) };
pub usingnamespace cpp.FlagsMixin(ImGuiTabItemFlags);
};
pub const ImGuiTableFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 0) };
pub const Resizable: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const Reorderable: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const Hideable: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const Sortable: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const NoSavedSettings: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const ContextMenuInBody: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const RowBg: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub const BordersInnerH: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 7) };
pub const BordersOuterH: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 8) };
pub const BordersInnerV: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 9) };
pub const BordersOuterV: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 10) };
pub const BordersH: ImGuiTableFlags = .{ .bits = @intCast(c_uint, ImGuiTableFlags.BordersInnerH.bits | ImGuiTableFlags.BordersOuterH.bits) };
pub const BordersV: ImGuiTableFlags = .{ .bits = @intCast(c_uint, ImGuiTableFlags.BordersInnerV.bits | ImGuiTableFlags.BordersOuterV.bits) };
pub const BordersInner: ImGuiTableFlags = .{ .bits = @intCast(c_uint, ImGuiTableFlags.BordersInnerV.bits | ImGuiTableFlags.BordersInnerH.bits) };
pub const BordersOuter: ImGuiTableFlags = .{ .bits = @intCast(c_uint, ImGuiTableFlags.BordersOuterV.bits | ImGuiTableFlags.BordersOuterH.bits) };
pub const Borders: ImGuiTableFlags = .{ .bits = @intCast(c_uint, ImGuiTableFlags.BordersInner.bits | ImGuiTableFlags.BordersOuter.bits) };
pub const NoBordersInBody: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 11) };
pub const NoBordersInBodyUntilResize: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 12) };
pub const SizingFixedFit: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 13) };
pub const SizingFixedSame: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 2 << 13) };
pub const SizingStretchProp: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 3 << 13) };
pub const SizingStretchSame: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 4 << 13) };
pub const NoHostExtendX: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 16) };
pub const NoHostExtendY: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 17) };
pub const NoKeepColumnsVisible: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 18) };
pub const PreciseWidths: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 19) };
pub const NoClip: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 20) };
pub const PadOuterX: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 21) };
pub const NoPadOuterX: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 22) };
pub const NoPadInnerX: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 23) };
pub const ScrollX: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 24) };
pub const ScrollY: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 25) };
pub const SortMulti: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 26) };
pub const SortTristate: ImGuiTableFlags = .{ .bits = @intCast(c_uint, 1 << 27) };
pub const SizingMask_: ImGuiTableFlags = .{ .bits = @intCast(c_uint, ImGuiTableFlags.SizingFixedFit.bits | ImGuiTableFlags.SizingFixedSame.bits | ImGuiTableFlags.SizingStretchProp.bits | ImGuiTableFlags.SizingStretchSame.bits) };
pub usingnamespace cpp.FlagsMixin(ImGuiTableFlags);
};
pub const ImGuiTableColumnFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 0) };
pub const Disabled: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const DefaultHide: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const DefaultSort: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const WidthStretch: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const WidthFixed: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const NoResize: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const NoReorder: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub const NoHide: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 7) };
pub const NoClip: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 8) };
pub const NoSort: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 9) };
pub const NoSortAscending: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 10) };
pub const NoSortDescending: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 11) };
pub const NoHeaderLabel: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 12) };
pub const NoHeaderWidth: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 13) };
pub const PreferSortAscending: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 14) };
pub const PreferSortDescending: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 15) };
pub const IndentEnable: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 16) };
pub const IndentDisable: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 17) };
pub const IsEnabled: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 24) };
pub const IsVisible: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 25) };
pub const IsSorted: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 26) };
pub const IsHovered: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 27) };
pub const WidthMask_: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, ImGuiTableColumnFlags.WidthStretch.bits | ImGuiTableColumnFlags.WidthFixed.bits) };
pub const IndentMask_: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, ImGuiTableColumnFlags.IndentEnable.bits | ImGuiTableColumnFlags.IndentDisable.bits) };
pub const StatusMask_: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, ImGuiTableColumnFlags.IsEnabled.bits | ImGuiTableColumnFlags.IsVisible.bits | ImGuiTableColumnFlags.IsSorted.bits | ImGuiTableColumnFlags.IsHovered.bits) };
pub const NoDirectResize_: ImGuiTableColumnFlags = .{ .bits = @intCast(c_uint, 1 << 30) };
pub usingnamespace cpp.FlagsMixin(ImGuiTableColumnFlags);
};
pub const ImGuiTableRowFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiTableRowFlags = .{ .bits = @intCast(c_uint, 0) };
pub const Headers: ImGuiTableRowFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub usingnamespace cpp.FlagsMixin(ImGuiTableRowFlags);
};
pub const ImGuiTableBgTarget = extern struct {
bits: c_int = 0,
pub const None: ImGuiTableBgTarget = .{ .bits = @intCast(c_uint, 0) };
pub const RowBg0: ImGuiTableBgTarget = .{ .bits = @intCast(c_uint, 1) };
pub const RowBg1: ImGuiTableBgTarget = .{ .bits = @intCast(c_uint, 2) };
pub const CellBg: ImGuiTableBgTarget = .{ .bits = @intCast(c_uint, 3) };
// pub usingnamespace cpp.FlagsMixin(ImGuiTableBgTarget_);
};
pub const ImGuiFocusedFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiFocusedFlags = .{ .bits = @intCast(c_uint, 0) };
pub const ChildWindows: ImGuiFocusedFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const RootWindow: ImGuiFocusedFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const AnyWindow: ImGuiFocusedFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const NoPopupHierarchy: ImGuiFocusedFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const DockHierarchy: ImGuiFocusedFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const RootAndChildWindows: ImGuiFocusedFlags = .{ .bits = @intCast(c_uint, ImGuiFocusedFlags.RootWindow.bits | ImGuiFocusedFlags.ChildWindows.bits) };
pub usingnamespace cpp.FlagsMixin(ImGuiFocusedFlags);
};
pub const ImGuiHoveredFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, 0) };
pub const ChildWindows: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const RootWindow: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const AnyWindow: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const NoPopupHierarchy: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const DockHierarchy: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const AllowWhenBlockedByPopup: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const AllowWhenBlockedByActiveItem: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, 1 << 7) };
pub const AllowWhenOverlapped: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, 1 << 8) };
pub const AllowWhenDisabled: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, 1 << 9) };
pub const NoNavOverride: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, 1 << 10) };
pub const RectOnly: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, ImGuiHoveredFlags.AllowWhenBlockedByPopup.bits | ImGuiHoveredFlags.AllowWhenBlockedByActiveItem.bits | ImGuiHoveredFlags.AllowWhenOverlapped.bits) };
pub const RootAndChildWindows: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, ImGuiHoveredFlags.RootWindow.bits | ImGuiHoveredFlags.ChildWindows.bits) };
pub const DelayNormal: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, 1 << 11) };
pub const DelayShort: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, 1 << 12) };
pub const NoSharedDelay: ImGuiHoveredFlags = .{ .bits = @intCast(c_uint, 1 << 13) };
pub usingnamespace cpp.FlagsMixin(ImGuiHoveredFlags);
};
pub const ImGuiDockNodeFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiDockNodeFlags = .{ .bits = @intCast(c_uint, 0) };
pub const KeepAliveOnly: ImGuiDockNodeFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const NoDockingInCentralNode: ImGuiDockNodeFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const PassthruCentralNode: ImGuiDockNodeFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const NoSplit: ImGuiDockNodeFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const NoResize: ImGuiDockNodeFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const AutoHideTabBar: ImGuiDockNodeFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub usingnamespace cpp.FlagsMixin(ImGuiDockNodeFlags);
};
pub const ImGuiDragDropFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiDragDropFlags = .{ .bits = @intCast(c_uint, 0) };
pub const SourceNoPreviewTooltip: ImGuiDragDropFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const SourceNoDisableHover: ImGuiDragDropFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const SourceNoHoldToOpenOthers: ImGuiDragDropFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const SourceAllowNullID: ImGuiDragDropFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const SourceExtern: ImGuiDragDropFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const SourceAutoExpirePayload: ImGuiDragDropFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const AcceptBeforeDelivery: ImGuiDragDropFlags = .{ .bits = @intCast(c_uint, 1 << 10) };
pub const AcceptNoDrawDefaultRect: ImGuiDragDropFlags = .{ .bits = @intCast(c_uint, 1 << 11) };
pub const AcceptNoPreviewTooltip: ImGuiDragDropFlags = .{ .bits = @intCast(c_uint, 1 << 12) };
pub const AcceptPeekOnly: ImGuiDragDropFlags = .{ .bits = @intCast(c_uint, ImGuiDragDropFlags.AcceptBeforeDelivery.bits | ImGuiDragDropFlags.AcceptNoDrawDefaultRect.bits) };
pub usingnamespace cpp.FlagsMixin(ImGuiDragDropFlags);
};
pub const ImGuiDataType = extern struct {
bits: c_int = 0,
pub const S8: ImGuiDataType = .{ .bits = 0 };
pub const U8: ImGuiDataType = .{ .bits = 1 };
pub const S16: ImGuiDataType = .{ .bits = 2 };
pub const U16: ImGuiDataType = .{ .bits = 3 };
pub const S32: ImGuiDataType = .{ .bits = 4 };
pub const U32: ImGuiDataType = .{ .bits = 5 };
pub const S64: ImGuiDataType = .{ .bits = 6 };
pub const U64: ImGuiDataType = .{ .bits = 7 };
pub const Float: ImGuiDataType = .{ .bits = 8 };
pub const Double: ImGuiDataType = .{ .bits = 9 };
pub const COUNT: ImGuiDataType = .{ .bits = 10 };
// pub usingnamespace cpp.FlagsMixin(ImGuiDataType_);
};
pub const ImGuiDir = extern struct {
bits: c_int = 0,
pub const None: ImGuiDir = .{ .bits = -1 };
pub const Left: ImGuiDir = .{ .bits = 0 };
pub const Right: ImGuiDir = .{ .bits = 1 };
pub const Up: ImGuiDir = .{ .bits = 2 };
pub const Down: ImGuiDir = .{ .bits = 3 };
pub const COUNT: ImGuiDir = .{ .bits = ImGuiDir.Down.bits + 1 };
// pub usingnamespace cpp.FlagsMixin(ImGuiDir_);
};
pub const ImGuiSortDirection = extern struct {
bits: c_int = 0,
pub const None: ImGuiSortDirection = .{ .bits = @intCast(c_uint, 0) };
pub const Ascending: ImGuiSortDirection = .{ .bits = @intCast(c_uint, 1) };
pub const Descending: ImGuiSortDirection = .{ .bits = @intCast(c_uint, 2) };
// pub usingnamespace cpp.FlagsMixin(ImGuiSortDirection_);
};
pub const ImGuiKey = extern struct {
bits: c_int = 0,
pub const None: ImGuiKey = .{ .bits = 0 };
pub const Tab: ImGuiKey = .{ .bits = 512 };
pub const LeftArrow: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 1 };
pub const RightArrow: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 2 };
pub const UpArrow: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 3 };
pub const DownArrow: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 4 };
pub const PageUp: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 5 };
pub const PageDown: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 6 };
pub const Home: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 7 };
pub const End: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 8 };
pub const Insert: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 9 };
pub const Delete: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 10 };
pub const Backspace: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 11 };
pub const Space: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 12 };
pub const Enter: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 13 };
pub const Escape: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 14 };
pub const LeftCtrl: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 15 };
pub const LeftShift: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 16 };
pub const LeftAlt: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 17 };
pub const LeftSuper: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 18 };
pub const RightCtrl: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 19 };
pub const RightShift: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 20 };
pub const RightAlt: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 21 };
pub const RightSuper: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 22 };
pub const Menu: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 23 };
pub const Alpha0: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 24 };
pub const Alpha1: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 25 };
pub const Alpha2: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 26 };
pub const Alpha3: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 27 };
pub const Alpha4: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 28 };
pub const Alpha5: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 29 };
pub const Alpha6: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 30 };
pub const Alpha7: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 31 };
pub const Alpha8: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 32 };
pub const Alpha9: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 33 };
pub const A: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 34 };
pub const B: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 35 };
pub const C: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 36 };
pub const D: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 37 };
pub const E: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 38 };
pub const F: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 39 };
pub const G: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 40 };
pub const H: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 41 };
pub const I: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 42 };
pub const J: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 43 };
pub const K: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 44 };
pub const L: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 45 };
pub const M: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 46 };
pub const N: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 47 };
pub const O: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 48 };
pub const P: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 49 };
pub const Q: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 50 };
pub const R: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 51 };
pub const S: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 52 };
pub const T: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 53 };
pub const U: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 54 };
pub const V: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 55 };
pub const W: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 56 };
pub const X: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 57 };
pub const Y: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 58 };
pub const Z: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 59 };
pub const F1: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 60 };
pub const F2: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 61 };
pub const F3: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 62 };
pub const F4: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 63 };
pub const F5: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 64 };
pub const F6: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 65 };
pub const F7: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 66 };
pub const F8: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 67 };
pub const F9: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 68 };
pub const F10: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 69 };
pub const F11: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 70 };
pub const F12: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 71 };
pub const Apostrophe: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 72 };
pub const Comma: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 73 };
pub const Minus: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 74 };
pub const Period: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 75 };
pub const Slash: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 76 };
pub const Semicolon: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 77 };
pub const Equal: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 78 };
pub const LeftBracket: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 79 };
pub const Backslash: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 80 };
pub const RightBracket: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 81 };
pub const GraveAccent: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 82 };
pub const CapsLock: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 83 };
pub const ScrollLock: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 84 };
pub const NumLock: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 85 };
pub const PrintScreen: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 86 };
pub const Pause: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 87 };
pub const Keypad0: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 88 };
pub const Keypad1: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 89 };
pub const Keypad2: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 90 };
pub const Keypad3: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 91 };
pub const Keypad4: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 92 };
pub const Keypad5: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 93 };
pub const Keypad6: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 94 };
pub const Keypad7: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 95 };
pub const Keypad8: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 96 };
pub const Keypad9: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 97 };
pub const KeypadDecimal: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 98 };
pub const KeypadDivide: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 99 };
pub const KeypadMultiply: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 100 };
pub const KeypadSubtract: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 101 };
pub const KeypadAdd: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 102 };
pub const KeypadEnter: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 103 };
pub const KeypadEqual: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 104 };
pub const GamepadStart: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 105 };
pub const GamepadBack: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 106 };
pub const GamepadFaceLeft: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 107 };
pub const GamepadFaceRight: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 108 };
pub const GamepadFaceUp: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 109 };
pub const GamepadFaceDown: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 110 };
pub const GamepadDpadLeft: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 111 };
pub const GamepadDpadRight: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 112 };
pub const GamepadDpadUp: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 113 };
pub const GamepadDpadDown: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 114 };
pub const GamepadL1: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 115 };
pub const GamepadR1: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 116 };
pub const GamepadL2: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 117 };
pub const GamepadR2: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 118 };
pub const GamepadL3: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 119 };
pub const GamepadR3: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 120 };
pub const GamepadLStickLeft: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 121 };
pub const GamepadLStickRight: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 122 };
pub const GamepadLStickUp: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 123 };
pub const GamepadLStickDown: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 124 };
pub const GamepadRStickLeft: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 125 };
pub const GamepadRStickRight: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 126 };
pub const GamepadRStickUp: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 127 };
pub const GamepadRStickDown: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 128 };
pub const MouseLeft: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 129 };
pub const MouseRight: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 130 };
pub const MouseMiddle: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 131 };
pub const MouseX1: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 132 };
pub const MouseX2: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 133 };
pub const MouseWheelX: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 134 };
pub const MouseWheelY: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 135 };
pub const ReservedForModCtrl: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 136 };
pub const ReservedForModShift: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 137 };
pub const ReservedForModAlt: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 138 };
pub const ReservedForModSuper: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 139 };
pub const COUNT: ImGuiKey = .{ .bits = ImGuiKey._Tab.bits + 140 };
pub const ImGuiMod_None: ImGuiKey = .{ .bits = 0 };
pub const ImGuiMod_Ctrl: ImGuiKey = .{ .bits = 1 << 12 };
pub const ImGuiMod_Shift: ImGuiKey = .{ .bits = 1 << 13 };
pub const ImGuiMod_Alt: ImGuiKey = .{ .bits = 1 << 14 };
pub const ImGuiMod_Super: ImGuiKey = .{ .bits = 1 << 15 };
pub const ImGuiMod_Shortcut: ImGuiKey = .{ .bits = 1 << 11 };
pub const ImGuiMod_Mask_: ImGuiKey = .{ .bits = 63488 };
pub const NamedKey_BEGIN: ImGuiKey = .{ .bits = 512 };
pub const NamedKey_END: ImGuiKey = .{ .bits = ImGuiKey._COUNT.bits };
pub const NamedKey_COUNT: ImGuiKey = .{ .bits = ImGuiKey._NamedKey_END.bits - ImGuiKey._NamedKey_BEGIN.bits };
pub const KeysData_SIZE: ImGuiKey = .{ .bits = ImGuiKey._NamedKey_COUNT.bits };
pub const KeysData_OFFSET: ImGuiKey = .{ .bits = ImGuiKey._NamedKey_BEGIN.bits };
// pub usingnamespace cpp.FlagsMixin(ImGuiKey);
};
pub const ImGuiConfigFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiConfigFlags = .{ .bits = @intCast(c_uint, 0) };
pub const NavEnableKeyboard: ImGuiConfigFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const NavEnableGamepad: ImGuiConfigFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const NavEnableSetMousePos: ImGuiConfigFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const NavNoCaptureKeyboard: ImGuiConfigFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const NoMouse: ImGuiConfigFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const NoMouseCursorChange: ImGuiConfigFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const DockingEnable: ImGuiConfigFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub const ViewportsEnable: ImGuiConfigFlags = .{ .bits = @intCast(c_uint, 1 << 10) };
pub const DpiEnableScaleViewports: ImGuiConfigFlags = .{ .bits = @intCast(c_uint, 1 << 14) };
pub const DpiEnableScaleFonts: ImGuiConfigFlags = .{ .bits = @intCast(c_uint, 1 << 15) };
pub const IsSRGB: ImGuiConfigFlags = .{ .bits = @intCast(c_uint, 1 << 20) };
pub const IsTouchScreen: ImGuiConfigFlags = .{ .bits = @intCast(c_uint, 1 << 21) };
pub usingnamespace cpp.FlagsMixin(ImGuiConfigFlags);
};
pub const ImGuiBackendFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiBackendFlags = .{ .bits = @intCast(c_uint, 0) };
pub const HasGamepad: ImGuiBackendFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const HasMouseCursors: ImGuiBackendFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const HasSetMousePos: ImGuiBackendFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const RendererHasVtxOffset: ImGuiBackendFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const PlatformHasViewports: ImGuiBackendFlags = .{ .bits = @intCast(c_uint, 1 << 10) };
pub const HasMouseHoveredViewport: ImGuiBackendFlags = .{ .bits = @intCast(c_uint, 1 << 11) };
pub const RendererHasViewports: ImGuiBackendFlags = .{ .bits = @intCast(c_uint, 1 << 12) };
pub usingnamespace cpp.FlagsMixin(ImGuiBackendFlags);
};
pub const ImGuiCol = extern struct {
bits: c_int = 0,
pub const Text: ImGuiCol = .{ .bits = 0 };
pub const TextDisabled: ImGuiCol = .{ .bits = 1 };
pub const WindowBg: ImGuiCol = .{ .bits = 2 };
pub const ChildBg: ImGuiCol = .{ .bits = 3 };
pub const PopupBg: ImGuiCol = .{ .bits = 4 };
pub const Border: ImGuiCol = .{ .bits = 5 };
pub const BorderShadow: ImGuiCol = .{ .bits = 6 };
pub const FrameBg: ImGuiCol = .{ .bits = 7 };
pub const FrameBgHovered: ImGuiCol = .{ .bits = 8 };
pub const FrameBgActive: ImGuiCol = .{ .bits = 9 };
pub const TitleBg: ImGuiCol = .{ .bits = 10 };
pub const TitleBgActive: ImGuiCol = .{ .bits = 11 };
pub const TitleBgCollapsed: ImGuiCol = .{ .bits = 12 };
pub const MenuBarBg: ImGuiCol = .{ .bits = 13 };
pub const ScrollbarBg: ImGuiCol = .{ .bits = 14 };
pub const ScrollbarGrab: ImGuiCol = .{ .bits = 15 };
pub const ScrollbarGrabHovered: ImGuiCol = .{ .bits = 16 };
pub const ScrollbarGrabActive: ImGuiCol = .{ .bits = 17 };
pub const CheckMark: ImGuiCol = .{ .bits = 18 };
pub const SliderGrab: ImGuiCol = .{ .bits = 19 };
pub const SliderGrabActive: ImGuiCol = .{ .bits = 20 };
pub const Button: ImGuiCol = .{ .bits = 21 };
pub const ButtonHovered: ImGuiCol = .{ .bits = 22 };
pub const ButtonActive: ImGuiCol = .{ .bits = 23 };
pub const Header: ImGuiCol = .{ .bits = 24 };
pub const HeaderHovered: ImGuiCol = .{ .bits = 25 };
pub const HeaderActive: ImGuiCol = .{ .bits = 26 };
pub const Separator: ImGuiCol = .{ .bits = 27 };
pub const SeparatorHovered: ImGuiCol = .{ .bits = 28 };
pub const SeparatorActive: ImGuiCol = .{ .bits = 29 };
pub const ResizeGrip: ImGuiCol = .{ .bits = 30 };
pub const ResizeGripHovered: ImGuiCol = .{ .bits = 31 };
pub const ResizeGripActive: ImGuiCol = .{ .bits = 32 };
pub const Tab: ImGuiCol = .{ .bits = 33 };
pub const TabHovered: ImGuiCol = .{ .bits = 34 };
pub const TabActive: ImGuiCol = .{ .bits = 35 };
pub const TabUnfocused: ImGuiCol = .{ .bits = 36 };
pub const TabUnfocusedActive: ImGuiCol = .{ .bits = 37 };
pub const DockingPreview: ImGuiCol = .{ .bits = 38 };
pub const DockingEmptyBg: ImGuiCol = .{ .bits = 39 };
pub const PlotLines: ImGuiCol = .{ .bits = 40 };
pub const PlotLinesHovered: ImGuiCol = .{ .bits = 41 };
pub const PlotHistogram: ImGuiCol = .{ .bits = 42 };
pub const PlotHistogramHovered: ImGuiCol = .{ .bits = 43 };
pub const TableHeaderBg: ImGuiCol = .{ .bits = 44 };
pub const TableBorderStrong: ImGuiCol = .{ .bits = 45 };
pub const TableBorderLight: ImGuiCol = .{ .bits = 46 };
pub const TableRowBg: ImGuiCol = .{ .bits = 47 };
pub const TableRowBgAlt: ImGuiCol = .{ .bits = 48 };
pub const TextSelectedBg: ImGuiCol = .{ .bits = 49 };
pub const DragDropTarget: ImGuiCol = .{ .bits = 50 };
pub const NavHighlight: ImGuiCol = .{ .bits = 51 };
pub const NavWindowingHighlight: ImGuiCol = .{ .bits = 52 };
pub const NavWindowingDimBg: ImGuiCol = .{ .bits = 53 };
pub const ModalWindowDimBg: ImGuiCol = .{ .bits = 54 };
pub const COUNT: ImGuiCol = .{ .bits = 55 };
// pub usingnamespace cpp.FlagsMixin(ImGuiCol_);
};
pub const ImGuiStyleVar = extern struct {
bits: c_int = 0,
pub const Alpha: ImGuiStyleVar = .{ .bits = 0 };
pub const DisabledAlpha: ImGuiStyleVar = .{ .bits = 1 };
pub const WindowPadding: ImGuiStyleVar = .{ .bits = 2 };
pub const WindowRounding: ImGuiStyleVar = .{ .bits = 3 };
pub const WindowBorderSize: ImGuiStyleVar = .{ .bits = 4 };
pub const WindowMinSize: ImGuiStyleVar = .{ .bits = 5 };
pub const WindowTitleAlign: ImGuiStyleVar = .{ .bits = 6 };
pub const ChildRounding: ImGuiStyleVar = .{ .bits = 7 };
pub const ChildBorderSize: ImGuiStyleVar = .{ .bits = 8 };
pub const PopupRounding: ImGuiStyleVar = .{ .bits = 9 };
pub const PopupBorderSize: ImGuiStyleVar = .{ .bits = 10 };
pub const FramePadding: ImGuiStyleVar = .{ .bits = 11 };
pub const FrameRounding: ImGuiStyleVar = .{ .bits = 12 };
pub const FrameBorderSize: ImGuiStyleVar = .{ .bits = 13 };
pub const ItemSpacing: ImGuiStyleVar = .{ .bits = 14 };
pub const ItemInnerSpacing: ImGuiStyleVar = .{ .bits = 15 };
pub const IndentSpacing: ImGuiStyleVar = .{ .bits = 16 };
pub const CellPadding: ImGuiStyleVar = .{ .bits = 17 };
pub const ScrollbarSize: ImGuiStyleVar = .{ .bits = 18 };
pub const ScrollbarRounding: ImGuiStyleVar = .{ .bits = 19 };
pub const GrabMinSize: ImGuiStyleVar = .{ .bits = 20 };
pub const GrabRounding: ImGuiStyleVar = .{ .bits = 21 };
pub const TabRounding: ImGuiStyleVar = .{ .bits = 22 };
pub const ButtonTextAlign: ImGuiStyleVar = .{ .bits = 23 };
pub const SelectableTextAlign: ImGuiStyleVar = .{ .bits = 24 };
pub const SeparatorTextBorderSize: ImGuiStyleVar = .{ .bits = 25 };
pub const SeparatorTextAlign: ImGuiStyleVar = .{ .bits = 26 };
pub const SeparatorTextPadding: ImGuiStyleVar = .{ .bits = 27 };
pub const COUNT: ImGuiStyleVar = .{ .bits = 28 };
// pub usingnamespace cpp.FlagsMixin(ImGuiStyleVar_);
};
pub const ImGuiButtonFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiButtonFlags = .{ .bits = @intCast(c_uint, 0) };
pub const MouseButtonLeft: ImGuiButtonFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const MouseButtonRight: ImGuiButtonFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const MouseButtonMiddle: ImGuiButtonFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const MouseButtonMask_: ImGuiButtonFlags = .{ .bits = @intCast(c_uint, ImGuiButtonFlags.MouseButtonLeft.bits | ImGuiButtonFlags.MouseButtonRight.bits | ImGuiButtonFlags.MouseButtonMiddle.bits) };
pub const MouseButtonDefault_: ImGuiButtonFlags = .{ .bits = @intCast(c_uint, ImGuiButtonFlags.MouseButtonLeft.bits) };
pub usingnamespace cpp.FlagsMixin(ImGuiButtonFlags);
};
pub const ImGuiColorEditFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 0) };
pub const NoAlpha: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const NoPicker: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const NoOptions: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const NoSmallPreview: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const NoInputs: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const NoTooltip: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub const NoLabel: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 7) };
pub const NoSidePreview: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 8) };
pub const NoDragDrop: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 9) };
pub const NoBorder: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 10) };
pub const AlphaBar: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 16) };
pub const AlphaPreview: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 17) };
pub const AlphaPreviewHalf: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 18) };
pub const HDR: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 19) };
pub const DisplayRGB: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 20) };
pub const DisplayHSV: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 21) };
pub const DisplayHex: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 22) };
pub const Uint8: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 23) };
pub const Float: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 24) };
pub const PickerHueBar: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 25) };
pub const PickerHueWheel: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 26) };
pub const InputRGB: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 27) };
pub const InputHSV: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, 1 << 28) };
pub const DefaultOptions_: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, ImGuiColorEditFlags.Uint8.bits | ImGuiColorEditFlags.DisplayRGB.bits | ImGuiColorEditFlags.InputRGB.bits | ImGuiColorEditFlags.PickerHueBar.bits) };
pub const DisplayMask_: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, ImGuiColorEditFlags.DisplayRGB.bits | ImGuiColorEditFlags.DisplayHSV.bits | ImGuiColorEditFlags.DisplayHex.bits) };
pub const DataTypeMask_: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, ImGuiColorEditFlags.Uint8.bits | ImGuiColorEditFlags.Float.bits) };
pub const PickerMask_: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, ImGuiColorEditFlags.PickerHueWheel.bits | ImGuiColorEditFlags.PickerHueBar.bits) };
pub const InputMask_: ImGuiColorEditFlags = .{ .bits = @intCast(c_uint, ImGuiColorEditFlags.InputRGB.bits | ImGuiColorEditFlags.InputHSV.bits) };
pub usingnamespace cpp.FlagsMixin(ImGuiColorEditFlags);
};
pub const ImGuiSliderFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiSliderFlags = .{ .bits = @intCast(c_uint, 0) };
pub const AlwaysClamp: ImGuiSliderFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const Logarithmic: ImGuiSliderFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const NoRoundToFormat: ImGuiSliderFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub const NoInput: ImGuiSliderFlags = .{ .bits = @intCast(c_uint, 1 << 7) };
pub const InvalidMask_: ImGuiSliderFlags = .{ .bits = @intCast(c_uint, 1879048207) };
pub usingnamespace cpp.FlagsMixin(ImGuiSliderFlags);
};
pub const ImGuiMouseButton = extern struct {
bits: c_int = 0,
pub const Left: ImGuiMouseButton = .{ .bits = @intCast(c_uint, 0) };
pub const Right: ImGuiMouseButton = .{ .bits = @intCast(c_uint, 1) };
pub const Middle: ImGuiMouseButton = .{ .bits = @intCast(c_uint, 2) };
pub const COUNT: ImGuiMouseButton = .{ .bits = @intCast(c_uint, 5) };
// pub usingnamespace cpp.FlagsMixin(ImGuiMouseButton_);
};
pub const ImGuiMouseCursor = extern struct {
bits: c_int = 0,
pub const None: ImGuiMouseCursor = .{ .bits = -1 };
pub const Arrow: ImGuiMouseCursor = .{ .bits = 0 };
pub const TextInput: ImGuiMouseCursor = .{ .bits = ImGuiMouseCursor.Arrow.bits + 1 };
pub const ResizeAll: ImGuiMouseCursor = .{ .bits = ImGuiMouseCursor.Arrow.bits + 2 };
pub const ResizeNS: ImGuiMouseCursor = .{ .bits = ImGuiMouseCursor.Arrow.bits + 3 };
pub const ResizeEW: ImGuiMouseCursor = .{ .bits = ImGuiMouseCursor.Arrow.bits + 4 };
pub const ResizeNESW: ImGuiMouseCursor = .{ .bits = ImGuiMouseCursor.Arrow.bits + 5 };
pub const ResizeNWSE: ImGuiMouseCursor = .{ .bits = ImGuiMouseCursor.Arrow.bits + 6 };
pub const Hand: ImGuiMouseCursor = .{ .bits = ImGuiMouseCursor.Arrow.bits + 7 };
pub const NotAllowed: ImGuiMouseCursor = .{ .bits = ImGuiMouseCursor.Arrow.bits + 8 };
pub const COUNT: ImGuiMouseCursor = .{ .bits = ImGuiMouseCursor.Arrow.bits + 9 };
// pub usingnamespace cpp.FlagsMixin(ImGuiMouseCursor_);
};
pub const ImGuiMouseSource = extern struct {
bits: c_int = 0,
pub const _Mouse: ImGuiMouseSource = .{ .bits = 0 };
pub const _TouchScreen: ImGuiMouseSource = .{ .bits = ImGuiMouseSource._Mouse.bits + 1 };
pub const _Pen: ImGuiMouseSource = .{ .bits = ImGuiMouseSource._Mouse.bits + 2 };
pub const _COUNT: ImGuiMouseSource = .{ .bits = ImGuiMouseSource._Mouse.bits + 3 };
// pub usingnamespace cpp.FlagsMixin(ImGuiMouseSource);
};
pub const ImGuiCond = extern struct {
bits: c_int = 0,
pub const None: ImGuiCond = .{ .bits = @intCast(c_uint, 0) };
pub const Always: ImGuiCond = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const Once: ImGuiCond = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const FirstUseEver: ImGuiCond = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const Appearing: ImGuiCond = .{ .bits = @intCast(c_uint, 1 << 3) };
// pub usingnamespace cpp.FlagsMixin(ImGuiCond_);
};
pub fn IM_DELETE(comptime T: type, p: [*c]T) void {
if (p) {
p.deinit();
MemFree(p);
}
}
pub fn ImVector(comptime T: type) type {
return extern struct {
const Self = @This();
Size: c_int,
Capacity: c_int,
Data: [*c]T,
pub const value_type = T;
pub const iterator = [*c]value_type;
pub const const_iterator = [*c]const value_type;
pub inline fn copyFrom(self: *Self, src: *const ImVector(T)) *ImVector(T) {
self.clear();
self.resize(src.Size);
if (src.Data) memcpy(self.Data, src.Data, @as(usize, self.Size) * @sizeOf(T));
return self.*;
}
pub inline fn clear(self: *Self) void {
if (self.Data) {
self.Capacity = 0;
self.Size = 0;
MemFree(self.Data);
self.Data = 0;
}
}
pub inline fn clear_delete(self: *Self) void {
var n: c_int = 0;
while (n < self.Size) : (n += 1) IM_DELETE(self.Data[n]);
self.clear();
}
pub inline fn clear_destruct(self: *Self) void {
var n: c_int = 0;
while (n < self.Size) : (n += 1) self.Data[n].deinit();
self.clear();
}
pub inline fn empty(self: *const Self) bool {
return self.Size == 0;
}
pub inline fn size(self: *const Self) c_int {
return self.Size;
}
pub inline fn size_in_bytes(self: *const Self) c_int {
return self.Size * @as(c_int, @sizeOf(T));
}
pub inline fn max_size(_: *const Self) c_int {
return 2147483647 / @as(c_int, @sizeOf(T));
}
pub inline fn capacity(self: *const Self) c_int {
return self.Capacity;
}
pub inline fn getPtr(self: *Self, i: c_int) *T {
ImAssert(i >= 0 and i < self.Size);
return self.Data[i];
}
pub inline fn get(self: *const Self, i: c_int) *const T {
ImAssert(i >= 0 and i < self.Size);
return self.Data[i];
}
pub inline fn begin(self: *Self) [*c]T {
return self.Data;
}
pub inline fn begin__Overload2(self: *const Self) [*c]const T {
return self.Data;
}
pub inline fn end(self: *Self) [*c]T {
return self.Data + self.Size;
}
pub inline fn end__Overload2(self: *const Self) [*c]const T {
return self.Data + self.Size;
}
pub inline fn front(self: *Self) *T {
ImAssert(self.Size > 0);
return self.Data[0];
}
pub inline fn front__Overload2(self: *const Self) *const T {
ImAssert(self.Size > 0);
return self.Data[0];
}
pub inline fn back(self: *Self) *T {
ImAssert(self.Size > 0);
return self.Data[self.Size - 1];
}
pub inline fn back__Overload2(self: *const Self) *const T {
ImAssert(self.Size > 0);
return self.Data[self.Size - 1];
}
pub inline fn swap(self: *Self, rhs: *ImVector(T)) void {
var rhs_size: c_int = rhs.Size;
rhs.Size = self.Size;
self.Size = rhs_size;
var rhs_cap: c_int = rhs.Capacity;
rhs.Capacity = self.Capacity;
self.Capacity = rhs_cap;
var rhs_data: [*c]T = rhs.Data;
rhs.Data = self.Data;
self.Data = rhs_data;
}
inline fn _grow_capacity(self: *const Self, sz: c_int) c_int {
var new_capacity: c_int = if (((self.Capacity) != 0)) (self.Capacity + self.Capacity / 2) else 8;
return if (new_capacity > sz) new_capacity else sz;
}
pub inline fn resize(self: *Self, new_size: c_int) void {
if (new_size > self.Capacity) self.reserve(self._grow_capacity(new_size));
self.Size = new_size;
}
pub inline fn resizeWithValue(self: *Self, new_size: c_int, v: *const T) void {
if (new_size > self.Capacity) self.reserve(self._grow_capacity(new_size));
if (new_size > self.Size) {
var n: c_int = self.Size;
while (n < new_size) : (n += 1) memcpy(&self.Data[n], &v, @sizeOf(v));
}
self.Size = new_size;
}
pub inline fn shrink(self: *Self, new_size: c_int) void {
ImAssert(new_size <= self.Size);
self.Size = new_size;
}
pub inline fn reserve(self: *Self, new_capacity: c_int) void {
if (new_capacity <= self.Capacity) return;
var new_data: [*c]T = @as([*c]T, MemAlloc(@intCast(usize, new_capacity) * @sizeOf(T)));
if (self.Data) {
memcpy(new_data, self.Data, @as(usize, self.Size) * @sizeOf(T));
MemFree(self.Data);
}
self.Data = new_data;
self.Capacity = new_capacity;
}
pub inline fn reserve_discard(self: *Self, new_capacity: c_int) void {
if (new_capacity <= self.Capacity) return;
if (self.Data) MemFree(self.Data);
self.Data = @as([*c]T, MemAlloc(@intCast(usize, new_capacity) * @sizeOf(T)));
self.Capacity = new_capacity;
}
pub inline fn push_back(self: *Self, v: *const T) void {
if (self.Size == self.Capacity) self.reserve(self._grow_capacity(self.Size + 1));
memcpy(&self.Data[self.Size], &v, @sizeOf(v));
self.Size += 1;
}
pub inline fn pop_back(self: *Self) void {
ImAssert(self.Size > 0);
self.Size -= 1;
}
pub inline fn push_front(self: *Self, v: *const T) void {
if (self.Size == 0) self.push_back(v) else self.insert(self.Data, v);
}
pub inline fn erase(self: *Self, it: [*c]const T) [*c]T {
ImAssert(it >= self.Data and it < self.Data + self.Size);
const off: isize = it - self.Data;
memmove(self.Data + off, self.Data + off + 1, (@as(usize, self.Size) - @as(usize, off) - @intCast(usize, 1)) * @sizeOf(T));
self.Size -= 1;
return self.Data + off;
}
pub inline fn erase__Overload2(self: *Self, it: [*c]const T, it_last: [*c]const T) [*c]T {
ImAssert(it >= self.Data and it < self.Data + self.Size and it_last >= it and it_last <= self.Data + self.Size);
const count: isize = it_last - it;
const off: isize = it - self.Data;
memmove(self.Data + off, self.Data + off + count, (@as(usize, self.Size) - @as(usize, off) - @as(usize, count)) * @sizeOf(T));
self.Size -= @as(c_int, count);
return self.Data + off;
}
pub inline fn erase_unsorted(self: *Self, it: [*c]const T) [*c]T {
ImAssert(it >= self.Data and it < self.Data + self.Size);
const off: isize = it - self.Data;
if (it < self.Data + self.Size - 1) memcpy(self.Data + off, self.Data + self.Size - 1, @sizeOf(T));
self.Size -= 1;
return self.Data + off;
}
pub inline fn insert(self: *Self, it: [*c]const T, v: *const T) [*c]T {
ImAssert(it >= self.Data and it <= self.Data + self.Size);
const off: isize = it - self.Data;
if (self.Size == self.Capacity) self.reserve(self._grow_capacity(self.Size + 1));
if (off < @intCast(isize, @as(c_int, self.Size))) memmove(self.Data + off + 1, self.Data + off, (@as(usize, self.Size) - @as(usize, off)) * @sizeOf(T));
memcpy(&self.Data[off], &v, @sizeOf(v));
self.Size += 1;
return self.Data + off;
}
pub inline fn contains(self: *const Self, v: *const T) bool {
const data: [*c]T = self.Data;
const data_end: [*c]T = self.Data + self.Size;
while (data < data_end) : (data += 1) {
if (data.* == v) return true;
}
return false;
}
pub inline fn find(self: *Self, v: *const T) [*c]T {
var data: [*c]T = self.Data;
const data_end: [*c]T = self.Data + self.Size;
while (data < data_end) {
if (data.* == v) break else data += 1;
}
return data;
}
pub inline fn find__Overload2(self: *const Self, v: *const T) [*c]const T {
const data: [*c]T = self.Data;
const data_end: [*c]T = self.Data + self.Size;
while (data < data_end) {
if (data.* == v) break else data += 1;
}
return data;
}
pub inline fn find_erase(self: *Self, v: *const T) bool {
const it: [*c]T = self.find(v);
if (it < self.Data + self.Size) {
self.erase(it);
return true;
}
return false;
}
pub inline fn find_erase_unsorted(self: *Self, v: *const T) bool {
const it: [*c]T = self.find(v);
if (it < self.Data + self.Size) {
self.erase_unsorted(it);
return true;
}
return false;
}
pub inline fn index_from_ptr(self: *const Self, it: [*c]const T) c_int {
ImAssert(it >= self.Data and it < self.Data + self.Size);
const off: isize = it - self.Data;
return @as(c_int, off);
}
};
}
pub const ImGuiStyle = extern struct {
Alpha: f32,
DisabledAlpha: f32,
WindowPadding: ImVec2,
WindowRounding: f32,
WindowBorderSize: f32,
WindowMinSize: ImVec2,
WindowTitleAlign: ImVec2,
WindowMenuButtonPosition: ImGuiDir,
ChildRounding: f32,
ChildBorderSize: f32,
PopupRounding: f32,
PopupBorderSize: f32,
FramePadding: ImVec2,
FrameRounding: f32,
FrameBorderSize: f32,
ItemSpacing: ImVec2,
ItemInnerSpacing: ImVec2,
CellPadding: ImVec2,
TouchExtraPadding: ImVec2,
IndentSpacing: f32,
ColumnsMinSpacing: f32,
ScrollbarSize: f32,
ScrollbarRounding: f32,
GrabMinSize: f32,
GrabRounding: f32,
LogSliderDeadzone: f32,
TabRounding: f32,
TabBorderSize: f32,
TabMinWidthForCloseButton: f32,
ColorButtonPosition: ImGuiDir,
ButtonTextAlign: ImVec2,
SelectableTextAlign: ImVec2,
SeparatorTextBorderSize: f32,
SeparatorTextAlign: ImVec2,
SeparatorTextPadding: ImVec2,
DisplayWindowPadding: ImVec2,
DisplaySafeAreaPadding: ImVec2,
MouseCursorScale: f32,
AntiAliasedLines: bool,
AntiAliasedLinesUseTex: bool,
AntiAliasedFill: bool,
CurveTessellationTol: f32,
CircleTessellationMaxError: f32,
Colors: [55]ImVec4,
extern fn _1_ImGuiStyle_init_() ImGuiStyle;
pub const init = _1_ImGuiStyle_init_;
extern fn _1_ImGuiStyle_ScaleAllSizes_(self: *ImGuiStyle, scale_factor: f32) void;
pub const ScaleAllSizes = _1_ImGuiStyle_ScaleAllSizes_;
};
pub const ImGuiKeyData = extern struct {
Down: bool,
DownDuration: f32,
DownDurationPrev: f32,
AnalogValue: f32,
};
pub const ImGuiIO = extern struct {
ConfigFlags: ImGuiConfigFlags,
BackendFlags: ImGuiBackendFlags,
DisplaySize: ImVec2,
DeltaTime: f32,
IniSavingRate: f32,
IniFilename: [*c]const u8,
LogFilename: [*c]const u8,
MouseDoubleClickTime: f32,
MouseDoubleClickMaxDist: f32,
MouseDragThreshold: f32,
KeyRepeatDelay: f32,
KeyRepeatRate: f32,
HoverDelayNormal: f32,
HoverDelayShort: f32,
UserData: ?*anyopaque,
Fonts: [*c]ImFontAtlas,
FontGlobalScale: f32,
FontAllowUserScaling: bool,
FontDefault: [*c]ImFont,
DisplayFramebufferScale: ImVec2,
ConfigDockingNoSplit: bool,
ConfigDockingWithShift: bool,
ConfigDockingAlwaysTabBar: bool,
ConfigDockingTransparentPayload: bool,
ConfigViewportsNoAutoMerge: bool,
ConfigViewportsNoTaskBarIcon: bool,
ConfigViewportsNoDecoration: bool,
ConfigViewportsNoDefaultParent: bool,
MouseDrawCursor: bool,
ConfigMacOSXBehaviors: bool,
ConfigInputTrickleEventQueue: bool,
ConfigInputTextCursorBlink: bool,
ConfigInputTextEnterKeepActive: bool,
ConfigDragClickToInputText: bool,
ConfigWindowsResizeFromEdges: bool,
ConfigWindowsMoveFromTitleBarOnly: bool,
ConfigMemoryCompactTimer: f32,
ConfigDebugBeginReturnValueOnce: bool,
ConfigDebugBeginReturnValueLoop: bool,
BackendPlatformName: [*c]const u8,
BackendRendererName: [*c]const u8,
BackendPlatformUserData: ?*anyopaque,
BackendRendererUserData: ?*anyopaque,
BackendLanguageUserData: ?*anyopaque,
GetClipboardTextFn: ?*const fn (?*anyopaque) callconv(.C) [*c]const u8,
SetClipboardTextFn: ?*const fn (?*anyopaque, [*c]const u8) callconv(.C) void,
ClipboardUserData: ?*anyopaque,
SetPlatformImeDataFn: ?*const fn ([*c]ImGuiViewport, [*c]ImGuiPlatformImeData) callconv(.C) void,
_UnusedPadding: ?*anyopaque,
WantCaptureMouse: bool,
WantCaptureKeyboard: bool,
WantTextInput: bool,
WantSetMousePos: bool,
WantSaveIniSettings: bool,
NavActive: bool,
NavVisible: bool,
Framerate: f32,
MetricsRenderVertices: c_int,
MetricsRenderIndices: c_int,
MetricsRenderWindows: c_int,
MetricsActiveWindows: c_int,
MetricsActiveAllocations: c_int,
MouseDelta: ImVec2,
Ctx: [*c]ImGuiContext,
MousePos: ImVec2,
MouseDown: [5]bool,
MouseWheel: f32,
MouseWheelH: f32,
MouseSource: ImGuiMouseSource,
MouseHoveredViewport: ImGuiID,
KeyCtrl: bool,
KeyShift: bool,
KeyAlt: bool,
KeySuper: bool,
KeyMods: ImGuiKeyChord,
KeysData: [140]ImGuiKeyData,
WantCaptureMouseUnlessPopupClose: bool,
MousePosPrev: ImVec2,
MouseClickedPos: [5]ImVec2,
MouseClickedTime: [5]f64,
MouseClicked: [5]bool,
MouseDoubleClicked: [5]bool,
MouseClickedCount: [5]ImU16,
MouseClickedLastCount: [5]ImU16,
MouseReleased: [5]bool,
MouseDownOwned: [5]bool,
MouseDownOwnedUnlessPopupClose: [5]bool,
MouseWheelRequestAxisSwap: bool,
MouseDownDuration: [5]f32,
MouseDownDurationPrev: [5]f32,
MouseDragMaxDistanceAbs: [5]ImVec2,
MouseDragMaxDistanceSqr: [5]f32,
PenPressure: f32,
AppFocusLost: bool,
AppAcceptingEvents: bool,
BackendUsingLegacyKeyArrays: ImS8,
BackendUsingLegacyNavInputArray: bool,
InputQueueSurrogate: ImWchar16,
InputQueueCharacters: ImVector(ImWchar),
extern fn _1_ImGuiIO_AddKeyEvent_(self: *ImGuiIO, key: ImGuiKey, down: bool) void;
pub const AddKeyEvent = _1_ImGuiIO_AddKeyEvent_;
extern fn _1_ImGuiIO_AddKeyAnalogEvent_(self: *ImGuiIO, key: ImGuiKey, down: bool, v: f32) void;
pub const AddKeyAnalogEvent = _1_ImGuiIO_AddKeyAnalogEvent_;
extern fn _1_ImGuiIO_AddMousePosEvent_(self: *ImGuiIO, x: f32, y: f32) void;
pub const AddMousePosEvent = _1_ImGuiIO_AddMousePosEvent_;
extern fn _1_ImGuiIO_AddMouseButtonEvent_(self: *ImGuiIO, button: c_int, down: bool) void;
pub const AddMouseButtonEvent = _1_ImGuiIO_AddMouseButtonEvent_;
extern fn _1_ImGuiIO_AddMouseWheelEvent_(self: *ImGuiIO, wheel_x: f32, wheel_y: f32) void;
pub const AddMouseWheelEvent = _1_ImGuiIO_AddMouseWheelEvent_;
extern fn _1_ImGuiIO_AddMouseSourceEvent_(self: *ImGuiIO, source: ImGuiMouseSource) void;
pub const AddMouseSourceEvent = _1_ImGuiIO_AddMouseSourceEvent_;
extern fn _1_ImGuiIO_AddMouseViewportEvent_(self: *ImGuiIO, id: ImGuiID) void;
pub const AddMouseViewportEvent = _1_ImGuiIO_AddMouseViewportEvent_;
extern fn _1_ImGuiIO_AddFocusEvent_(self: *ImGuiIO, focused: bool) void;
pub const AddFocusEvent = _1_ImGuiIO_AddFocusEvent_;
extern fn _1_ImGuiIO_AddInputCharacter_(self: *ImGuiIO, c: c_uint) void;
pub const AddInputCharacter = _1_ImGuiIO_AddInputCharacter_;
extern fn _1_ImGuiIO_AddInputCharacterUTF16_(self: *ImGuiIO, c: ImWchar16) void;
pub const AddInputCharacterUTF16 = _1_ImGuiIO_AddInputCharacterUTF16_;
extern fn _1_ImGuiIO_AddInputCharactersUTF8_(self: *ImGuiIO, str: [*c]const u8) void;
pub const AddInputCharactersUTF8 = _1_ImGuiIO_AddInputCharactersUTF8_;
extern fn _1_ImGuiIO_SetKeyEventNativeData_(self: *ImGuiIO, key: ImGuiKey, native_keycode: c_int, native_scancode: c_int, native_legacy_index: c_int) void;
pub const SetKeyEventNativeData = _1_ImGuiIO_SetKeyEventNativeData_;
extern fn _1_ImGuiIO_SetAppAcceptingEvents_(self: *ImGuiIO, accepting_events: bool) void;
pub const SetAppAcceptingEvents = _1_ImGuiIO_SetAppAcceptingEvents_;
extern fn _1_ImGuiIO_ClearInputCharacters_(self: *ImGuiIO) void;
pub const ClearInputCharacters = _1_ImGuiIO_ClearInputCharacters_;
extern fn _1_ImGuiIO_ClearInputKeys_(self: *ImGuiIO) void;
pub const ClearInputKeys = _1_ImGuiIO_ClearInputKeys_;
extern fn _1_ImGuiIO_init_() ImGuiIO;
pub const init = _1_ImGuiIO_init_;
};
pub const ImGuiInputTextCallbackData = extern struct {
Ctx: [*c]ImGuiContext,
EventFlag: ImGuiInputTextFlags,
Flags: ImGuiInputTextFlags,
UserData: ?*anyopaque,
EventChar: ImWchar,
EventKey: ImGuiKey,
Buf: [*c]u8,
BufTextLen: c_int,
BufSize: c_int,
BufDirty: bool,
CursorPos: c_int,
SelectionStart: c_int,
SelectionEnd: c_int,
extern fn _1_ImGuiInputTextCallbackData_init_() ImGuiInputTextCallbackData;
pub const init = _1_ImGuiInputTextCallbackData_init_;
extern fn _1_ImGuiInputTextCallbackData_DeleteChars_(self: *ImGuiInputTextCallbackData, pos: c_int, bytes_count: c_int) void;
pub const DeleteChars = _1_ImGuiInputTextCallbackData_DeleteChars_;
extern fn _1_ImGuiInputTextCallbackData_InsertChars_(self: *ImGuiInputTextCallbackData, pos: c_int, text: [*c]const u8, text_end: [*c]const u8) void;
pub const InsertChars = _1_ImGuiInputTextCallbackData_InsertChars_;
pub fn SelectAll(self: *ImGuiInputTextCallbackData) void {
self.SelectionStart = 0;
self.SelectionEnd = self.BufTextLen;
}
pub fn ClearSelection(self: *ImGuiInputTextCallbackData) void {
self.SelectionEnd = self.BufTextLen;
self.SelectionStart = self.SelectionEnd;
}
pub fn HasSelection(self: *const ImGuiInputTextCallbackData) bool {
return self.SelectionStart != self.SelectionEnd;
}
};
pub const ImGuiSizeCallbackData = extern struct {
UserData: ?*anyopaque,
Pos: ImVec2,
CurrentSize: ImVec2,
DesiredSize: ImVec2,
};
pub const ImGuiWindowClass = extern struct {
ClassId: ImGuiID,
ParentViewportId: ImGuiID,
ViewportFlagsOverrideSet: ImGuiViewportFlags,
ViewportFlagsOverrideClear: ImGuiViewportFlags,
TabItemFlagsOverrideSet: ImGuiTabItemFlags,
DockNodeFlagsOverrideSet: ImGuiDockNodeFlags,
DockingAlwaysTabBar: bool,
DockingAllowUnclassed: bool,
extern fn _1_ImGuiWindowClass_init_() ImGuiWindowClass;
pub const init = _1_ImGuiWindowClass_init_;
};
pub const ImGuiPayload = extern struct {
Data: ?*anyopaque,
DataSize: c_int,
SourceId: ImGuiID,
SourceParentId: ImGuiID,
DataFrameCount: c_int,
DataType: [33]u8,
Preview: bool,
Delivery: bool,
extern fn _1_ImGuiPayload_init_() ImGuiPayload;
pub const init = _1_ImGuiPayload_init_;
pub fn Clear(self: *ImGuiPayload) void {
self.SourceParentId = @intCast(ImGuiID, 0);
self.SourceId = self.SourceParentId;
self.Data = null;
self.DataSize = 0;
memset(@bitCast(?*anyopaque, @as([*c]u8, self.DataType)), 0, @sizeOf(self.DataType));
self.DataFrameCount = -1;
self.Delivery = false;
self.Preview = false;
}
pub fn IsDataType(self: *const ImGuiPayload, ty: [*c]const u8) bool {
return self.DataFrameCount != -1 and strcmp(ty, @as([*c]const u8, self.DataType)) == 0;
}
pub fn IsPreview(self: *const ImGuiPayload) bool {
return self.Preview;
}
pub fn IsDelivery(self: *const ImGuiPayload) bool {
return self.Delivery;
}
};
pub const ImGuiTableColumnSortSpecs = extern struct {
ColumnUserID: ImGuiID,
ColumnIndex: ImS16,
SortOrder: ImS16,
SortDirection: ImGuiSortDirection,
extern fn _1_ImGuiTableColumnSortSpecs_init_() ImGuiTableColumnSortSpecs;
pub const init = _1_ImGuiTableColumnSortSpecs_init_;
};
pub const ImGuiTableSortSpecs = extern struct {
Specs: [*c]const ImGuiTableColumnSortSpecs,
SpecsCount: c_int,
SpecsDirty: bool,
extern fn _1_ImGuiTableSortSpecs_init_() ImGuiTableSortSpecs;
pub const init = _1_ImGuiTableSortSpecs_init_;
};
pub const ImGuiOnceUponAFrame = extern struct {
RefFrame: c_int,
extern fn _1_ImGuiOnceUponAFrame_init_() ImGuiOnceUponAFrame;
pub const init = _1_ImGuiOnceUponAFrame_init_;
};
pub const ImGuiTextFilter = extern struct {
pub const ImGuiTextRange = extern struct {
b: [*c]const u8,
e: [*c]const u8,
extern fn _1_ImGuiTextFilter_ImGuiTextRange_init_() ImGuiTextRange;
pub const init = _1_ImGuiTextFilter_ImGuiTextRange_init_;
extern fn _2_ImGuiTextFilter_ImGuiTextRange_init_(_b: [*c]const u8, _e: [*c]const u8) ImGuiTextRange;
pub const init2 = _2_ImGuiTextFilter_ImGuiTextRange_init_;
pub fn empty(self: *const ImGuiTextRange) bool {
return self.b == self.e;
}
extern fn _1_ImGuiTextFilter_ImGuiTextRange_split_(self: *const ImGuiTextRange, separator: u8, out: [*c]ImVector(ImGuiTextRange)) void;
pub const split = _1_ImGuiTextFilter_ImGuiTextRange_split_;
};
InputBuf: [256]u8,
Filters: ImVector(ImGuiTextRange),
CountGrep: c_int,
extern fn _1_ImGuiTextFilter_init_(default_filter: [*c]const u8) ImGuiTextFilter;
pub const init = _1_ImGuiTextFilter_init_;
extern fn _1_ImGuiTextFilter_Draw_(self: *ImGuiTextFilter, label: [*c]const u8, width: f32) bool;
pub const Draw = _1_ImGuiTextFilter_Draw_;
extern fn _1_ImGuiTextFilter_PassFilter_(self: *const ImGuiTextFilter, text: [*c]const u8, text_end: [*c]const u8) bool;
pub const PassFilter = _1_ImGuiTextFilter_PassFilter_;
extern fn _1_ImGuiTextFilter_Build_(self: *ImGuiTextFilter) void;
pub const Build = _1_ImGuiTextFilter_Build_;
pub fn Clear(self: *ImGuiTextFilter) void {
@as([*c]u8, self.InputBuf)[0] = @intCast(u8, 0);
self.Build();
}
pub fn IsActive(self: *const ImGuiTextFilter) bool {
return !self.empty();
}
};
pub const ImGuiTextBuffer = extern struct {
Buf: ImVector(u8),
extern fn _1_ImGuiTextBuffer_EmptyString_() *u8;
pub const EmptyString = _1_ImGuiTextBuffer_EmptyString_;
extern fn _1_ImGuiTextBuffer_init_() ImGuiTextBuffer;
pub const init = _1_ImGuiTextBuffer_init_;
pub inline fn get(self: *const ImGuiTextBuffer, i: c_int) u8 {
ImAssert(self.Buf.Data != null);
return self.Buf.Data[i];
}
pub fn begin(self: *const ImGuiTextBuffer) [*c]const u8 {
return if (@as(bool, self.Buf.Data)) &self.front() else @as([*c]u8, EmptyString);
}
pub fn end(self: *const ImGuiTextBuffer) [*c]const u8 {
return if (@as(bool, self.Buf.Data)) &self.back() else @as([*c]u8, EmptyString);
}
pub fn size(self: *const ImGuiTextBuffer) c_int {
return if (((self.Buf.Size) != 0)) self.Buf.Size - 1 else 0;
}
pub fn empty(self: *const ImGuiTextBuffer) bool {
return self.Buf.Size <= 1;
}
pub fn clear(self: *ImGuiTextBuffer) void {
self.clear();
}
pub fn reserve(self: *ImGuiTextBuffer, capacity: c_int) void {
self.reserve(capacity);
}
pub fn c_str(self: *const ImGuiTextBuffer) [*c]const u8 {
return if (@as(bool, self.Buf.Data)) self.Buf.Data else @as([*c]u8, EmptyString);
}
extern fn _1_ImGuiTextBuffer_append_(self: *ImGuiTextBuffer, str: [*c]const u8, str_end: [*c]const u8) void;
pub const append = _1_ImGuiTextBuffer_append_;
extern fn _1_ImGuiTextBuffer_appendfv_(self: *ImGuiTextBuffer, fmt: [*c]const u8, args: [*c]u8) void;
pub const appendfv = _1_ImGuiTextBuffer_appendfv_;
};
pub const ImGuiStorage = extern struct {
pub const ImGuiStoragePair = extern struct {
key: ImGuiID,
__field0: extern union {
val_i: c_int,
val_f: f32,
val_p: ?*anyopaque,
},
extern fn _1_ImGuiStorage_ImGuiStoragePair_init_(_key: ImGuiID, _val_i: c_int) ImGuiStoragePair;
pub const init = _1_ImGuiStorage_ImGuiStoragePair_init_;
extern fn _2_ImGuiStorage_ImGuiStoragePair_init_(_key: ImGuiID, _val_f: f32) ImGuiStoragePair;
pub const init2 = _2_ImGuiStorage_ImGuiStoragePair_init_;
extern fn _3_ImGuiStorage_ImGuiStoragePair_init_(_key: ImGuiID, _val_p: ?*anyopaque) ImGuiStoragePair;
pub const init3 = _3_ImGuiStorage_ImGuiStoragePair_init_;
};
Data: ImVector(ImGuiStoragePair),
pub fn Clear(self: *ImGuiStorage) void {
self.clear();
}
extern fn _1_ImGuiStorage_GetInt_(self: *const ImGuiStorage, key: ImGuiID, default_val: c_int) c_int;
pub const GetInt = _1_ImGuiStorage_GetInt_;
extern fn _1_ImGuiStorage_SetInt_(self: *ImGuiStorage, key: ImGuiID, val: c_int) void;
pub const SetInt = _1_ImGuiStorage_SetInt_;
extern fn _1_ImGuiStorage_GetBool_(self: *const ImGuiStorage, key: ImGuiID, default_val: bool) bool;
pub const GetBool = _1_ImGuiStorage_GetBool_;
extern fn _1_ImGuiStorage_SetBool_(self: *ImGuiStorage, key: ImGuiID, val: bool) void;
pub const SetBool = _1_ImGuiStorage_SetBool_;
extern fn _1_ImGuiStorage_GetFloat_(self: *const ImGuiStorage, key: ImGuiID, default_val: f32) f32;
pub const GetFloat = _1_ImGuiStorage_GetFloat_;
extern fn _1_ImGuiStorage_SetFloat_(self: *ImGuiStorage, key: ImGuiID, val: f32) void;
pub const SetFloat = _1_ImGuiStorage_SetFloat_;
extern fn _1_ImGuiStorage_GetVoidPtr_(self: *const ImGuiStorage, key: ImGuiID) ?*anyopaque;
pub const GetVoidPtr = _1_ImGuiStorage_GetVoidPtr_;
extern fn _1_ImGuiStorage_SetVoidPtr_(self: *ImGuiStorage, key: ImGuiID, val: ?*anyopaque) void;
pub const SetVoidPtr = _1_ImGuiStorage_SetVoidPtr_;
extern fn _1_ImGuiStorage_GetIntRef_(self: *ImGuiStorage, key: ImGuiID, default_val: c_int) [*c]c_int;
pub const GetIntRef = _1_ImGuiStorage_GetIntRef_;
extern fn _1_ImGuiStorage_GetBoolRef_(self: *ImGuiStorage, key: ImGuiID, default_val: bool) [*c]bool;
pub const GetBoolRef = _1_ImGuiStorage_GetBoolRef_;
extern fn _1_ImGuiStorage_GetFloatRef_(self: *ImGuiStorage, key: ImGuiID, default_val: f32) [*c]f32;
pub const GetFloatRef = _1_ImGuiStorage_GetFloatRef_;
extern fn _1_ImGuiStorage_GetVoidPtrRef_(self: *ImGuiStorage, key: ImGuiID, default_val: ?*anyopaque) [*c]?*anyopaque;
pub const GetVoidPtrRef = _1_ImGuiStorage_GetVoidPtrRef_;
extern fn _1_ImGuiStorage_SetAllInt_(self: *ImGuiStorage, val: c_int) void;
pub const SetAllInt = _1_ImGuiStorage_SetAllInt_;
extern fn _1_ImGuiStorage_BuildSortByKey_(self: *ImGuiStorage) void;
pub const BuildSortByKey = _1_ImGuiStorage_BuildSortByKey_;
};
pub const ImGuiListClipper = extern struct {
Ctx: [*c]ImGuiContext,
DisplayStart: c_int,
DisplayEnd: c_int,
ItemsCount: c_int,
ItemsHeight: f32,
StartPosY: f32,
TempData: ?*anyopaque,
extern fn _1_ImGuiListClipper_init_() ImGuiListClipper;
pub const init = _1_ImGuiListClipper_init_;
extern fn _1_ImGuiListClipper_deinit_(self: *ImGuiListClipper) void;
pub const deinit = _1_ImGuiListClipper_deinit_;
extern fn _1_ImGuiListClipper_Begin_(self: *ImGuiListClipper, items_count: c_int, items_height: f32) void;
pub const Begin = _1_ImGuiListClipper_Begin_;
extern fn _1_ImGuiListClipper_End_(self: *ImGuiListClipper) void;
pub const End = _1_ImGuiListClipper_End_;
extern fn _1_ImGuiListClipper_Step_(self: *ImGuiListClipper) bool;
pub const Step = _1_ImGuiListClipper_Step_;
extern fn _1_ImGuiListClipper_ForceDisplayRangeByIndices_(self: *ImGuiListClipper, item_min: c_int, item_max: c_int) void;
pub const ForceDisplayRangeByIndices = _1_ImGuiListClipper_ForceDisplayRangeByIndices_;
};
pub const ImColor = extern struct {
Value: ImVec4,
extern fn _1_ImColor_init_(r: c_int, g: c_int, b: c_int, a: c_int) ImColor;
pub const init = _1_ImColor_init_;
extern fn _2_ImColor_init_(rgba: ImU32) ImColor;
pub const init2 = _2_ImColor_init_;
pub inline fn SetHSV(self: *ImColor, h: f32, s: f32, v: f32, a: f32) void {
ColorConvertHSVtoRGB(h, s, v, self.Value.x, self.Value.y, self.Value.z);
self.Value.w = a;
}
pub fn HSV(h: f32, s: f32, v: f32, a: f32) ImColor {
var r: f32 = undefined;
var g: f32 = undefined;
var b: f32 = undefined;
ColorConvertHSVtoRGB(h, s, v, r, g, b);
return .{ .Value = .{ .x = r, .y = g, .z = b, .w = a } };
}
};
pub const ImDrawCallback = ?*const fn ([*c]const ImDrawList, [*c]const ImDrawCmd) callconv(.C) void;
pub const ImDrawCmd = extern struct {
ClipRect: ImVec4,
TextureId: ImTextureID,
VtxOffset: c_uint,
IdxOffset: c_uint,
ElemCount: c_uint,
UserCallback: ImDrawCallback,
UserCallbackData: ?*anyopaque,
extern fn _1_ImDrawCmd_init_() ImDrawCmd;
pub const init = _1_ImDrawCmd_init_;
pub inline fn GetTexID(self: *const ImDrawCmd) ImTextureID {
return self.TextureId;
}
};
pub const ImDrawVert = extern struct {
pos: ImVec2,
uv: ImVec2,
col: ImU32,
};
pub const ImDrawCmdHeader = extern struct {
ClipRect: ImVec4,
TextureId: ImTextureID,
VtxOffset: c_uint,
};
pub const ImDrawChannel = extern struct {
_CmdBuffer: ImVector(ImDrawCmd),
_IdxBuffer: ImVector(ImDrawIdx),
};
pub const ImDrawListSplitter = extern struct {
_Current: c_int,
_Count: c_int,
_Channels: ImVector(ImDrawChannel),
extern fn _1_ImDrawListSplitter_init_() ImDrawListSplitter;
pub const init = _1_ImDrawListSplitter_init_;
extern fn _1_ImDrawListSplitter_deinit_(self: *ImDrawListSplitter) void;
pub const deinit = _1_ImDrawListSplitter_deinit_;
pub inline fn Clear(self: *ImDrawListSplitter) void {
self._Current = 0;
self._Count = 1;
}
extern fn _1_ImDrawListSplitter_ClearFreeMemory_(self: *ImDrawListSplitter) void;
pub const ClearFreeMemory = _1_ImDrawListSplitter_ClearFreeMemory_;
extern fn _1_ImDrawListSplitter_Split_(self: *ImDrawListSplitter, draw_list: [*c]ImDrawList, count: c_int) void;
pub const Split = _1_ImDrawListSplitter_Split_;
extern fn _1_ImDrawListSplitter_Merge_(self: *ImDrawListSplitter, draw_list: [*c]ImDrawList) void;
pub const Merge = _1_ImDrawListSplitter_Merge_;
extern fn _1_ImDrawListSplitter_SetCurrentChannel_(self: *ImDrawListSplitter, draw_list: [*c]ImDrawList, channel_idx: c_int) void;
pub const SetCurrentChannel = _1_ImDrawListSplitter_SetCurrentChannel_;
};
pub const ImDrawFlags = extern struct {
bits: c_int = 0,
pub const None: ImDrawFlags = .{ .bits = @intCast(c_uint, 0) };
pub const Closed: ImDrawFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const RoundCornersTopLeft: ImDrawFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const RoundCornersTopRight: ImDrawFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const RoundCornersBottomLeft: ImDrawFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub const RoundCornersBottomRight: ImDrawFlags = .{ .bits = @intCast(c_uint, 1 << 7) };
pub const RoundCornersNone: ImDrawFlags = .{ .bits = @intCast(c_uint, 1 << 8) };
pub const RoundCornersTop: ImDrawFlags = .{ .bits = @intCast(c_uint, ImDrawFlags.RoundCornersTopLeft.bits | ImDrawFlags.RoundCornersTopRight.bits) };
pub const RoundCornersBottom: ImDrawFlags = .{ .bits = @intCast(c_uint, ImDrawFlags.RoundCornersBottomLeft.bits | ImDrawFlags.RoundCornersBottomRight.bits) };
pub const RoundCornersLeft: ImDrawFlags = .{ .bits = @intCast(c_uint, ImDrawFlags.RoundCornersBottomLeft.bits | ImDrawFlags.RoundCornersTopLeft.bits) };
pub const RoundCornersRight: ImDrawFlags = .{ .bits = @intCast(c_uint, ImDrawFlags.RoundCornersBottomRight.bits | ImDrawFlags.RoundCornersTopRight.bits) };
pub const RoundCornersAll: ImDrawFlags = .{ .bits = @intCast(c_uint, ImDrawFlags.RoundCornersTopLeft.bits | ImDrawFlags.RoundCornersTopRight.bits | ImDrawFlags.RoundCornersBottomLeft.bits | ImDrawFlags.RoundCornersBottomRight.bits) };
pub const RoundCornersDefault_: ImDrawFlags = .{ .bits = @intCast(c_uint, ImDrawFlags.RoundCornersAll.bits) };
pub const RoundCornersMask_: ImDrawFlags = .{ .bits = @intCast(c_uint, ImDrawFlags.RoundCornersAll.bits | ImDrawFlags.RoundCornersNone.bits) };
pub usingnamespace cpp.FlagsMixin(ImDrawFlags);
};
pub const ImDrawListFlags = extern struct {
bits: c_int = 0,
pub const None: ImDrawListFlags = .{ .bits = @intCast(c_uint, 0) };
pub const AntiAliasedLines: ImDrawListFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const AntiAliasedLinesUseTex: ImDrawListFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const AntiAliasedFill: ImDrawListFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const AllowVtxOffset: ImDrawListFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub usingnamespace cpp.FlagsMixin(ImDrawListFlags);
};
pub const ImDrawList = extern struct {
CmdBuffer: ImVector(ImDrawCmd),
IdxBuffer: ImVector(ImDrawIdx),
VtxBuffer: ImVector(ImDrawVert),
Flags: ImDrawListFlags,
_VtxCurrentIdx: c_uint,
_Data: [*c]ImDrawListSharedData,
_OwnerName: [*c]const u8,
_VtxWritePtr: [*c]ImDrawVert,
_IdxWritePtr: [*c]ImDrawIdx,
_ClipRectStack: ImVector(ImVec4),
_TextureIdStack: ImVector(ImTextureID),
_Path: ImVector(ImVec2),
_CmdHeader: ImDrawCmdHeader,
_Splitter: ImDrawListSplitter,
_FringeScale: f32,
extern fn _1_ImDrawList_init_(shared_data: [*c]ImDrawListSharedData) ImDrawList;
pub const init = _1_ImDrawList_init_;
extern fn _1_ImDrawList_deinit_(self: *ImDrawList) void;
pub const deinit = _1_ImDrawList_deinit_;
extern fn _1_ImDrawList_PushClipRect_(self: *ImDrawList, clip_rect_min: *const ImVec2, clip_rect_max: *const ImVec2, intersect_with_current_clip_rect: bool) void;
pub const PushClipRect = _1_ImDrawList_PushClipRect_;
extern fn _1_ImDrawList_PushClipRectFullScreen_(self: *ImDrawList) void;
pub const PushClipRectFullScreen = _1_ImDrawList_PushClipRectFullScreen_;
extern fn _1_ImDrawList_PopClipRect_(self: *ImDrawList) void;
pub const PopClipRect = _1_ImDrawList_PopClipRect_;
extern fn _1_ImDrawList_PushTextureID_(self: *ImDrawList, texture_id: ImTextureID) void;
pub const PushTextureID = _1_ImDrawList_PushTextureID_;
extern fn _1_ImDrawList_PopTextureID_(self: *ImDrawList) void;
pub const PopTextureID = _1_ImDrawList_PopTextureID_;
pub inline fn GetClipRectMin(self: *const ImDrawList) ImVec2 {
const cr: *ImVec4 = self._ClipRectStack.back();
return .{ .x = cr.x, .y = cr.y };
}
pub inline fn GetClipRectMax(self: *const ImDrawList) ImVec2 {
const cr: *ImVec4 = self._ClipRectStack.back();
return .{ .x = cr.z, .y = cr.w };
}
extern fn _1_ImDrawList_AddLine_(self: *ImDrawList, p1: *const ImVec2, p2: *const ImVec2, col: ImU32, thickness: f32) void;
pub const AddLine = _1_ImDrawList_AddLine_;
extern fn _1_ImDrawList_AddRect_(self: *ImDrawList, p_min: *const ImVec2, p_max: *const ImVec2, col: ImU32, rounding: f32, flags: ImDrawFlags, thickness: f32) void;
pub const AddRect = _1_ImDrawList_AddRect_;
extern fn _1_ImDrawList_AddRectFilled_(self: *ImDrawList, p_min: *const ImVec2, p_max: *const ImVec2, col: ImU32, rounding: f32, flags: ImDrawFlags) void;
pub const AddRectFilled = _1_ImDrawList_AddRectFilled_;
extern fn _1_ImDrawList_AddRectFilledMultiColor_(self: *ImDrawList, p_min: *const ImVec2, p_max: *const ImVec2, col_upr_left: ImU32, col_upr_right: ImU32, col_bot_right: ImU32, col_bot_left: ImU32) void;
pub const AddRectFilledMultiColor = _1_ImDrawList_AddRectFilledMultiColor_;
extern fn _1_ImDrawList_AddQuad_(self: *ImDrawList, p1: *const ImVec2, p2: *const ImVec2, p3: *const ImVec2, p4: *const ImVec2, col: ImU32, thickness: f32) void;
pub const AddQuad = _1_ImDrawList_AddQuad_;
extern fn _1_ImDrawList_AddQuadFilled_(self: *ImDrawList, p1: *const ImVec2, p2: *const ImVec2, p3: *const ImVec2, p4: *const ImVec2, col: ImU32) void;
pub const AddQuadFilled = _1_ImDrawList_AddQuadFilled_;
extern fn _1_ImDrawList_AddTriangle_(self: *ImDrawList, p1: *const ImVec2, p2: *const ImVec2, p3: *const ImVec2, col: ImU32, thickness: f32) void;
pub const AddTriangle = _1_ImDrawList_AddTriangle_;
extern fn _1_ImDrawList_AddTriangleFilled_(self: *ImDrawList, p1: *const ImVec2, p2: *const ImVec2, p3: *const ImVec2, col: ImU32) void;
pub const AddTriangleFilled = _1_ImDrawList_AddTriangleFilled_;
extern fn _1_ImDrawList_AddCircle_(self: *ImDrawList, center: *const ImVec2, radius: f32, col: ImU32, num_segments: c_int, thickness: f32) void;
pub const AddCircle = _1_ImDrawList_AddCircle_;
extern fn _1_ImDrawList_AddCircleFilled_(self: *ImDrawList, center: *const ImVec2, radius: f32, col: ImU32, num_segments: c_int) void;
pub const AddCircleFilled = _1_ImDrawList_AddCircleFilled_;
extern fn _1_ImDrawList_AddNgon_(self: *ImDrawList, center: *const ImVec2, radius: f32, col: ImU32, num_segments: c_int, thickness: f32) void;
pub const AddNgon = _1_ImDrawList_AddNgon_;
extern fn _1_ImDrawList_AddNgonFilled_(self: *ImDrawList, center: *const ImVec2, radius: f32, col: ImU32, num_segments: c_int) void;
pub const AddNgonFilled = _1_ImDrawList_AddNgonFilled_;
extern fn _1_ImDrawList_AddText_(self: *ImDrawList, pos: *const ImVec2, col: ImU32, text_begin: [*c]const u8, text_end: [*c]const u8) void;
pub const AddText = _1_ImDrawList_AddText_;
extern fn _2_ImDrawList_AddText_(self: *ImDrawList, font: [*c]const ImFont, font_size: f32, pos: *const ImVec2, col: ImU32, text_begin: [*c]const u8, text_end: [*c]const u8, wrap_width: f32, cpu_fine_clip_rect: [*c]const ImVec4) void;
pub const AddText__Overload2 = _2_ImDrawList_AddText_;
extern fn _1_ImDrawList_AddPolyline_(self: *ImDrawList, points: [*c]const ImVec2, num_points: c_int, col: ImU32, flags: ImDrawFlags, thickness: f32) void;
pub const AddPolyline = _1_ImDrawList_AddPolyline_;
extern fn _1_ImDrawList_AddConvexPolyFilled_(self: *ImDrawList, points: [*c]const ImVec2, num_points: c_int, col: ImU32) void;
pub const AddConvexPolyFilled = _1_ImDrawList_AddConvexPolyFilled_;
extern fn _1_ImDrawList_AddBezierCubic_(self: *ImDrawList, p1: *const ImVec2, p2: *const ImVec2, p3: *const ImVec2, p4: *const ImVec2, col: ImU32, thickness: f32, num_segments: c_int) void;
pub const AddBezierCubic = _1_ImDrawList_AddBezierCubic_;
extern fn _1_ImDrawList_AddBezierQuadratic_(self: *ImDrawList, p1: *const ImVec2, p2: *const ImVec2, p3: *const ImVec2, col: ImU32, thickness: f32, num_segments: c_int) void;
pub const AddBezierQuadratic = _1_ImDrawList_AddBezierQuadratic_;
extern fn _1_ImDrawList_AddImage_(self: *ImDrawList, user_texture_id: ImTextureID, p_min: *const ImVec2, p_max: *const ImVec2, uv_min: *const ImVec2, uv_max: *const ImVec2, col: ImU32) void;
pub const AddImage = _1_ImDrawList_AddImage_;
extern fn _1_ImDrawList_AddImageQuad_(self: *ImDrawList, user_texture_id: ImTextureID, p1: *const ImVec2, p2: *const ImVec2, p3: *const ImVec2, p4: *const ImVec2, uv1: *const ImVec2, uv2: *const ImVec2, uv3: *const ImVec2, uv4: *const ImVec2, col: ImU32) void;
pub const AddImageQuad = _1_ImDrawList_AddImageQuad_;
extern fn _1_ImDrawList_AddImageRounded_(self: *ImDrawList, user_texture_id: ImTextureID, p_min: *const ImVec2, p_max: *const ImVec2, uv_min: *const ImVec2, uv_max: *const ImVec2, col: ImU32, rounding: f32, flags: ImDrawFlags) void;
pub const AddImageRounded = _1_ImDrawList_AddImageRounded_;
pub inline fn PathClear(self: *ImDrawList) void {
self._Path.Size = 0;
}
pub inline fn PathLineTo(self: *ImDrawList, pos: *const ImVec2) void {
self.push_back(pos);
}
pub inline fn PathLineToMergeDuplicate(self: *ImDrawList, pos: *const ImVec2) void {
if (self._Path.Size == 0 or memcmp(@bitCast(?*const anyopaque, &self._Path.Data[self._Path.Size - 1]), @bitCast(?*const anyopaque, &pos), @intCast(usize, 8)) != 0) self.push_back(pos);
}
pub inline fn PathFillConvex(self: *ImDrawList, col: ImU32) void {
self.AddConvexPolyFilled(self._Path.Data, self._Path.Size, col);
self._Path.Size = 0;
}
pub inline fn PathStroke(self: *ImDrawList, col: ImU32, flags: ImDrawFlags, thickness: f32) void {
self.AddPolyline(self._Path.Data, self._Path.Size, col, flags, thickness);
self._Path.Size = 0;
}
extern fn _1_ImDrawList_PathArcTo_(self: *ImDrawList, center: *const ImVec2, radius: f32, a_min: f32, a_max: f32, num_segments: c_int) void;
pub const PathArcTo = _1_ImDrawList_PathArcTo_;
extern fn _1_ImDrawList_PathArcToFast_(self: *ImDrawList, center: *const ImVec2, radius: f32, a_min_of_12: c_int, a_max_of_12: c_int) void;
pub const PathArcToFast = _1_ImDrawList_PathArcToFast_;
extern fn _1_ImDrawList_PathBezierCubicCurveTo_(self: *ImDrawList, p2: *const ImVec2, p3: *const ImVec2, p4: *const ImVec2, num_segments: c_int) void;
pub const PathBezierCubicCurveTo = _1_ImDrawList_PathBezierCubicCurveTo_;
extern fn _1_ImDrawList_PathBezierQuadraticCurveTo_(self: *ImDrawList, p2: *const ImVec2, p3: *const ImVec2, num_segments: c_int) void;
pub const PathBezierQuadraticCurveTo = _1_ImDrawList_PathBezierQuadraticCurveTo_;
extern fn _1_ImDrawList_PathRect_(self: *ImDrawList, rect_min: *const ImVec2, rect_max: *const ImVec2, rounding: f32, flags: ImDrawFlags) void;
pub const PathRect = _1_ImDrawList_PathRect_;
extern fn _1_ImDrawList_AddCallback_(self: *ImDrawList, callback: ImDrawCallback, callback_data: ?*anyopaque) void;
pub const AddCallback = _1_ImDrawList_AddCallback_;
extern fn _1_ImDrawList_AddDrawCmd_(self: *ImDrawList) void;
pub const AddDrawCmd = _1_ImDrawList_AddDrawCmd_;
extern fn _1_ImDrawList_CloneOutput_(self: *const ImDrawList) [*c]ImDrawList;
pub const CloneOutput = _1_ImDrawList_CloneOutput_;
pub inline fn ChannelsSplit(self: *ImDrawList, count: c_int) void {
self.Split(self, count);
}
pub inline fn ChannelsMerge(self: *ImDrawList) void {
self.Merge(self);
}
pub inline fn ChannelsSetCurrent(self: *ImDrawList, n: c_int) void {
self.SetCurrentChannel(self, n);
}
extern fn _1_ImDrawList_PrimReserve_(self: *ImDrawList, idx_count: c_int, vtx_count: c_int) void;
pub const PrimReserve = _1_ImDrawList_PrimReserve_;
extern fn _1_ImDrawList_PrimUnreserve_(self: *ImDrawList, idx_count: c_int, vtx_count: c_int) void;
pub const PrimUnreserve = _1_ImDrawList_PrimUnreserve_;
extern fn _1_ImDrawList_PrimRect_(self: *ImDrawList, a: *const ImVec2, b: *const ImVec2, col: ImU32) void;
pub const PrimRect = _1_ImDrawList_PrimRect_;
extern fn _1_ImDrawList_PrimRectUV_(self: *ImDrawList, a: *const ImVec2, b: *const ImVec2, uv_a: *const ImVec2, uv_b: *const ImVec2, col: ImU32) void;
pub const PrimRectUV = _1_ImDrawList_PrimRectUV_;
extern fn _1_ImDrawList_PrimQuadUV_(self: *ImDrawList, a: *const ImVec2, b: *const ImVec2, c: *const ImVec2, d: *const ImVec2, uv_a: *const ImVec2, uv_b: *const ImVec2, uv_c: *const ImVec2, uv_d: *const ImVec2, col: ImU32) void;
pub const PrimQuadUV = _1_ImDrawList_PrimQuadUV_;
pub inline fn PrimWriteVtx(self: *ImDrawList, pos: *const ImVec2, uv: *const ImVec2, col: ImU32) void {
self._VtxWritePtr.pos.copyFrom(pos);
self._VtxWritePtr.uv.copyFrom(uv);
self._VtxWritePtr.col = col;
self._VtxWritePtr += 1;
self._VtxCurrentIdx += 1;
}
pub inline fn PrimWriteIdx(self: *ImDrawList, idx: ImDrawIdx) void {
self._IdxWritePtr.* = idx;
self._IdxWritePtr += 1;
}
pub inline fn PrimVtx(self: *ImDrawList, pos: *const ImVec2, uv: *const ImVec2, col: ImU32) void {
self.PrimWriteIdx(@intCast(ImDrawIdx, self._VtxCurrentIdx));
self.PrimWriteVtx(pos, uv, col);
}
extern fn _1_ImDrawList__ResetForNewFrame_(self: *ImDrawList) void;
pub const _ResetForNewFrame = _1_ImDrawList__ResetForNewFrame_;
extern fn _1_ImDrawList__ClearFreeMemory_(self: *ImDrawList) void;
pub const _ClearFreeMemory = _1_ImDrawList__ClearFreeMemory_;
extern fn _1_ImDrawList__PopUnusedDrawCmd_(self: *ImDrawList) void;
pub const _PopUnusedDrawCmd = _1_ImDrawList__PopUnusedDrawCmd_;
extern fn _1_ImDrawList__TryMergeDrawCmds_(self: *ImDrawList) void;
pub const _TryMergeDrawCmds = _1_ImDrawList__TryMergeDrawCmds_;
extern fn _1_ImDrawList__OnChangedClipRect_(self: *ImDrawList) void;
pub const _OnChangedClipRect = _1_ImDrawList__OnChangedClipRect_;
extern fn _1_ImDrawList__OnChangedTextureID_(self: *ImDrawList) void;
pub const _OnChangedTextureID = _1_ImDrawList__OnChangedTextureID_;
extern fn _1_ImDrawList__OnChangedVtxOffset_(self: *ImDrawList) void;
pub const _OnChangedVtxOffset = _1_ImDrawList__OnChangedVtxOffset_;
extern fn _1_ImDrawList__CalcCircleAutoSegmentCount_(self: *const ImDrawList, radius: f32) c_int;
pub const _CalcCircleAutoSegmentCount = _1_ImDrawList__CalcCircleAutoSegmentCount_;
extern fn _1_ImDrawList__PathArcToFastEx_(self: *ImDrawList, center: *const ImVec2, radius: f32, a_min_sample: c_int, a_max_sample: c_int, a_step: c_int) void;
pub const _PathArcToFastEx = _1_ImDrawList__PathArcToFastEx_;
extern fn _1_ImDrawList__PathArcToN_(self: *ImDrawList, center: *const ImVec2, radius: f32, a_min: f32, a_max: f32, num_segments: c_int) void;
pub const _PathArcToN = _1_ImDrawList__PathArcToN_;
};
pub const ImDrawData = extern struct {
Valid: bool,
CmdListsCount: c_int,
TotalIdxCount: c_int,
TotalVtxCount: c_int,
CmdLists: [*c][*c]ImDrawList,
DisplayPos: ImVec2,
DisplaySize: ImVec2,
FramebufferScale: ImVec2,
OwnerViewport: [*c]ImGuiViewport,
extern fn _1_ImDrawData_init_() ImDrawData;
pub const init = _1_ImDrawData_init_;
pub fn Clear(self: *ImDrawData) void {
memset(@bitCast(?*anyopaque, self), 0, @sizeOf(self.*));
}
extern fn _1_ImDrawData_DeIndexAllBuffers_(self: *ImDrawData) void;
pub const DeIndexAllBuffers = _1_ImDrawData_DeIndexAllBuffers_;
extern fn _1_ImDrawData_ScaleClipRects_(self: *ImDrawData, fb_scale: *const ImVec2) void;
pub const ScaleClipRects = _1_ImDrawData_ScaleClipRects_;
};
pub const ImFontConfig = extern struct {
FontData: ?*anyopaque,
FontDataSize: c_int,
FontDataOwnedByAtlas: bool,
FontNo: c_int,
SizePixels: f32,
OversampleH: c_int,
OversampleV: c_int,
PixelSnapH: bool,
GlyphExtraSpacing: ImVec2,
GlyphOffset: ImVec2,
GlyphRanges: [*c]const ImWchar,
GlyphMinAdvanceX: f32,
GlyphMaxAdvanceX: f32,
MergeMode: bool,
FontBuilderFlags: c_uint,
RasterizerMultiply: f32,
EllipsisChar: ImWchar,
Name: [40]u8,
DstFont: [*c]ImFont,
extern fn _1_ImFontConfig_init_() ImFontConfig;
pub const init = _1_ImFontConfig_init_;
};
pub const ImFontGlyph = extern struct {
Colored: c_uint,
Visible: c_uint,
Codepoint: c_uint,
AdvanceX: f32,
X0: f32,
Y0: f32,
X1: f32,
Y1: f32,
U0: f32,
V0: f32,
U1: f32,
V1: f32,
};
pub const ImFontGlyphRangesBuilder = extern struct {
UsedChars: ImVector(ImU32),
extern fn _1_ImFontGlyphRangesBuilder_init_() ImFontGlyphRangesBuilder;
pub const init = _1_ImFontGlyphRangesBuilder_init_;
pub inline fn Clear(self: *ImFontGlyphRangesBuilder) void {
var size_in_bytes: c_int = (65535 + 1) / 8;
self.resize(size_in_bytes / @intCast(c_int, @sizeOf(ImU32)));
memset(@bitCast(?*anyopaque, self.UsedChars.Data), 0, @intCast(usize, size_in_bytes));
}
pub inline fn GetBit(self: *const ImFontGlyphRangesBuilder, n: usize) bool {
var off: c_int = @intCast(c_int, (n >> 5));
var mask: ImU32 = 1 << (n & @intCast(usize, 31));
return (self.UsedChars.get(off) & mask) != @intCast(c_uint, 0);
}
pub inline fn SetBit(self: *ImFontGlyphRangesBuilder, n: usize) void {
var off: c_int = @intCast(c_int, (n >> 5));
var mask: ImU32 = 1 << (n & @intCast(usize, 31));
self.UsedChars.getPtr(off).* |= mask;
}
pub inline fn AddChar(self: *ImFontGlyphRangesBuilder, c: ImWchar) void {
self.SetBit(@intCast(usize, c));
}
extern fn _1_ImFontGlyphRangesBuilder_AddText_(self: *ImFontGlyphRangesBuilder, text: [*c]const u8, text_end: [*c]const u8) void;
pub const AddText = _1_ImFontGlyphRangesBuilder_AddText_;
extern fn _1_ImFontGlyphRangesBuilder_AddRanges_(self: *ImFontGlyphRangesBuilder, ranges: [*c]const ImWchar) void;
pub const AddRanges = _1_ImFontGlyphRangesBuilder_AddRanges_;
extern fn _1_ImFontGlyphRangesBuilder_BuildRanges_(self: *ImFontGlyphRangesBuilder, out_ranges: [*c]ImVector(ImWchar)) void;
pub const BuildRanges = _1_ImFontGlyphRangesBuilder_BuildRanges_;
};
pub const ImFontAtlasCustomRect = extern struct {
Width: c_ushort,
Height: c_ushort,
X: c_ushort,
Y: c_ushort,
GlyphID: c_uint,
GlyphAdvanceX: f32,
GlyphOffset: ImVec2,
Font: [*c]ImFont,
extern fn _1_ImFontAtlasCustomRect_init_() ImFontAtlasCustomRect;
pub const init = _1_ImFontAtlasCustomRect_init_;
pub fn IsPacked(self: *const ImFontAtlasCustomRect) bool {
return @intCast(c_int, self.X) != 65535;
}
};
pub const ImFontAtlasFlags = extern struct {
bits: c_int = 0,
pub const None: ImFontAtlasFlags = .{ .bits = @intCast(c_uint, 0) };
pub const NoPowerOfTwoHeight: ImFontAtlasFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const NoMouseCursors: ImFontAtlasFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const NoBakedLines: ImFontAtlasFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub usingnamespace cpp.FlagsMixin(ImFontAtlasFlags);
};
pub const ImFontAtlas = extern struct {
Flags: ImFontAtlasFlags,
TexID: ImTextureID,
TexDesiredWidth: c_int,
TexGlyphPadding: c_int,
Locked: bool,
UserData: ?*anyopaque,
TexReady: bool,
TexPixelsUseColors: bool,
TexPixelsAlpha8: [*c]u8,
TexPixelsRGBA32: [*c]c_uint,
TexWidth: c_int,
TexHeight: c_int,
TexUvScale: ImVec2,
TexUvWhitePixel: ImVec2,
Fonts: ImVector([*c]ImFont),
CustomRects: ImVector(ImFontAtlasCustomRect),
ConfigData: ImVector(ImFontConfig),
TexUvLines: [64]ImVec4,
FontBuilderIO: [*c]const ImFontBuilderIO,
FontBuilderFlags: c_uint,
PackIdMouseCursors: c_int,
PackIdLines: c_int,
extern fn _1_ImFontAtlas_init_() ImFontAtlas;
pub const init = _1_ImFontAtlas_init_;
extern fn _1_ImFontAtlas_deinit_(self: *ImFontAtlas) void;
pub const deinit = _1_ImFontAtlas_deinit_;
extern fn _1_ImFontAtlas_AddFont_(self: *ImFontAtlas, font_cfg: [*c]const ImFontConfig) [*c]ImFont;
pub const AddFont = _1_ImFontAtlas_AddFont_;
extern fn _1_ImFontAtlas_AddFontDefault_(self: *ImFontAtlas, font_cfg: [*c]const ImFontConfig) [*c]ImFont;
pub const AddFontDefault = _1_ImFontAtlas_AddFontDefault_;
extern fn _1_ImFontAtlas_AddFontFromFileTTF_(self: *ImFontAtlas, filename: [*c]const u8, size_pixels: f32, font_cfg: [*c]const ImFontConfig, glyph_ranges: [*c]const ImWchar) [*c]ImFont;
pub const AddFontFromFileTTF = _1_ImFontAtlas_AddFontFromFileTTF_;
extern fn _1_ImFontAtlas_AddFontFromMemoryTTF_(self: *ImFontAtlas, font_data: ?*anyopaque, font_size: c_int, size_pixels: f32, font_cfg: [*c]const ImFontConfig, glyph_ranges: [*c]const ImWchar) [*c]ImFont;
pub const AddFontFromMemoryTTF = _1_ImFontAtlas_AddFontFromMemoryTTF_;
extern fn _1_ImFontAtlas_AddFontFromMemoryCompressedTTF_(self: *ImFontAtlas, compressed_font_data: ?*const anyopaque, compressed_font_size: c_int, size_pixels: f32, font_cfg: [*c]const ImFontConfig, glyph_ranges: [*c]const ImWchar) [*c]ImFont;
pub const AddFontFromMemoryCompressedTTF = _1_ImFontAtlas_AddFontFromMemoryCompressedTTF_;
extern fn _1_ImFontAtlas_AddFontFromMemoryCompressedBase85TTF_(self: *ImFontAtlas, compressed_font_data_base85: [*c]const u8, size_pixels: f32, font_cfg: [*c]const ImFontConfig, glyph_ranges: [*c]const ImWchar) [*c]ImFont;
pub const AddFontFromMemoryCompressedBase85TTF = _1_ImFontAtlas_AddFontFromMemoryCompressedBase85TTF_;
extern fn _1_ImFontAtlas_ClearInputData_(self: *ImFontAtlas) void;
pub const ClearInputData = _1_ImFontAtlas_ClearInputData_;
extern fn _1_ImFontAtlas_ClearTexData_(self: *ImFontAtlas) void;
pub const ClearTexData = _1_ImFontAtlas_ClearTexData_;
extern fn _1_ImFontAtlas_ClearFonts_(self: *ImFontAtlas) void;
pub const ClearFonts = _1_ImFontAtlas_ClearFonts_;
extern fn _1_ImFontAtlas_Clear_(self: *ImFontAtlas) void;
pub const Clear = _1_ImFontAtlas_Clear_;
extern fn _1_ImFontAtlas_Build_(self: *ImFontAtlas) bool;
pub const Build = _1_ImFontAtlas_Build_;
extern fn _1_ImFontAtlas_GetTexDataAsAlpha8_(self: *ImFontAtlas, out_pixels: [*c][*c]u8, out_width: [*c]c_int, out_height: [*c]c_int, out_bytes_per_pixel: [*c]c_int) void;
pub const GetTexDataAsAlpha8 = _1_ImFontAtlas_GetTexDataAsAlpha8_;
extern fn _1_ImFontAtlas_GetTexDataAsRGBA32_(self: *ImFontAtlas, out_pixels: [*c][*c]u8, out_width: [*c]c_int, out_height: [*c]c_int, out_bytes_per_pixel: [*c]c_int) void;
pub const GetTexDataAsRGBA32 = _1_ImFontAtlas_GetTexDataAsRGBA32_;
pub fn IsBuilt(self: *const ImFontAtlas) bool {
return self.Fonts.Size > 0 and self.TexReady;
}
pub fn SetTexID(self: *ImFontAtlas, id: ImTextureID) void {
self.TexID = id;
}
extern fn _1_ImFontAtlas_GetGlyphRangesDefault_(self: *ImFontAtlas) [*c]const ImWchar;
pub const GetGlyphRangesDefault = _1_ImFontAtlas_GetGlyphRangesDefault_;
extern fn _1_ImFontAtlas_GetGlyphRangesGreek_(self: *ImFontAtlas) [*c]const ImWchar;
pub const GetGlyphRangesGreek = _1_ImFontAtlas_GetGlyphRangesGreek_;
extern fn _1_ImFontAtlas_GetGlyphRangesKorean_(self: *ImFontAtlas) [*c]const ImWchar;
pub const GetGlyphRangesKorean = _1_ImFontAtlas_GetGlyphRangesKorean_;
extern fn _1_ImFontAtlas_GetGlyphRangesJapanese_(self: *ImFontAtlas) [*c]const ImWchar;
pub const GetGlyphRangesJapanese = _1_ImFontAtlas_GetGlyphRangesJapanese_;
extern fn _1_ImFontAtlas_GetGlyphRangesChineseFull_(self: *ImFontAtlas) [*c]const ImWchar;
pub const GetGlyphRangesChineseFull = _1_ImFontAtlas_GetGlyphRangesChineseFull_;
extern fn _1_ImFontAtlas_GetGlyphRangesChineseSimplifiedCommon_(self: *ImFontAtlas) [*c]const ImWchar;
pub const GetGlyphRangesChineseSimplifiedCommon = _1_ImFontAtlas_GetGlyphRangesChineseSimplifiedCommon_;
extern fn _1_ImFontAtlas_GetGlyphRangesCyrillic_(self: *ImFontAtlas) [*c]const ImWchar;
pub const GetGlyphRangesCyrillic = _1_ImFontAtlas_GetGlyphRangesCyrillic_;
extern fn _1_ImFontAtlas_GetGlyphRangesThai_(self: *ImFontAtlas) [*c]const ImWchar;
pub const GetGlyphRangesThai = _1_ImFontAtlas_GetGlyphRangesThai_;
extern fn _1_ImFontAtlas_GetGlyphRangesVietnamese_(self: *ImFontAtlas) [*c]const ImWchar;
pub const GetGlyphRangesVietnamese = _1_ImFontAtlas_GetGlyphRangesVietnamese_;
extern fn _1_ImFontAtlas_AddCustomRectRegular_(self: *ImFontAtlas, width: c_int, height: c_int) c_int;
pub const AddCustomRectRegular = _1_ImFontAtlas_AddCustomRectRegular_;
extern fn _1_ImFontAtlas_AddCustomRectFontGlyph_(self: *ImFontAtlas, font: [*c]ImFont, id: ImWchar, width: c_int, height: c_int, advance_x: f32, offset: *const ImVec2) c_int;
pub const AddCustomRectFontGlyph = _1_ImFontAtlas_AddCustomRectFontGlyph_;
pub fn GetCustomRectByIndex(self: *ImFontAtlas, index: c_int) [*c]ImFontAtlasCustomRect {
ImAssert(index >= 0);
return &self.CustomRects.getPtr(index).*;
}
extern fn _1_ImFontAtlas_CalcCustomRectUV_(self: *const ImFontAtlas, rect: [*c]const ImFontAtlasCustomRect, out_uv_min: [*c]ImVec2, out_uv_max: [*c]ImVec2) void;
pub const CalcCustomRectUV = _1_ImFontAtlas_CalcCustomRectUV_;
extern fn _1_ImFontAtlas_GetMouseCursorTexData_(self: *ImFontAtlas, cursor: ImGuiMouseCursor, out_offset: [*c]ImVec2, out_size: [*c]ImVec2, out_uv_border: [*c]ImVec2, out_uv_fill: [*c]ImVec2) bool;
pub const GetMouseCursorTexData = _1_ImFontAtlas_GetMouseCursorTexData_;
};
pub const ImFont = extern struct {
IndexAdvanceX: ImVector(f32),
FallbackAdvanceX: f32,
FontSize: f32,
IndexLookup: ImVector(ImWchar),
Glyphs: ImVector(ImFontGlyph),
FallbackGlyph: [*c]const ImFontGlyph,
ContainerAtlas: [*c]ImFontAtlas,
ConfigData: [*c]const ImFontConfig,
ConfigDataCount: c_short,
FallbackChar: ImWchar,
EllipsisChar: ImWchar,
EllipsisCharCount: c_short,
EllipsisWidth: f32,
EllipsisCharStep: f32,
DirtyLookupTables: bool,
Scale: f32,
Ascent: f32,
Descent: f32,
MetricsTotalSurface: c_int,
Used4kPagesMap: [2]ImU8,
extern fn _1_ImFont_init_() ImFont;
pub const init = _1_ImFont_init_;
extern fn _1_ImFont_deinit_(self: *ImFont) void;
pub const deinit = _1_ImFont_deinit_;
extern fn _1_ImFont_FindGlyph_(self: *const ImFont, c: ImWchar) [*c]const ImFontGlyph;
pub const FindGlyph = _1_ImFont_FindGlyph_;
extern fn _1_ImFont_FindGlyphNoFallback_(self: *const ImFont, c: ImWchar) [*c]const ImFontGlyph;
pub const FindGlyphNoFallback = _1_ImFont_FindGlyphNoFallback_;
pub fn GetCharAdvance(self: *const ImFont, c: ImWchar) f32 {
return if ((@intCast(c_int, c) < self.IndexAdvanceX.Size)) self.IndexAdvanceX.get(@intCast(c_int, c)) else self.FallbackAdvanceX;
}
pub fn IsLoaded(self: *const ImFont) bool {
return self.ContainerAtlas != null;
}
pub fn GetDebugName(self: *const ImFont) [*c]const u8 {
return if (@as(bool, self.ConfigData)) @as([*c]const u8, self.ConfigData.Name) else @as([*c]const u8, "\"<unknown>\"");
}
extern fn _1_ImFont_CalcTextSizeA_(self: *const ImFont, size: f32, max_width: f32, wrap_width: f32, text_begin: [*c]const u8, text_end: [*c]const u8, remaining: [*c]const [*c]u8) ImVec2;
pub const CalcTextSizeA = _1_ImFont_CalcTextSizeA_;
extern fn _1_ImFont_CalcWordWrapPositionA_(self: *const ImFont, scale: f32, text: [*c]const u8, text_end: [*c]const u8, wrap_width: f32) [*c]const u8;
pub const CalcWordWrapPositionA = _1_ImFont_CalcWordWrapPositionA_;
extern fn _1_ImFont_RenderChar_(self: *const ImFont, draw_list: [*c]ImDrawList, size: f32, pos: *const ImVec2, col: ImU32, c: ImWchar) void;
pub const RenderChar = _1_ImFont_RenderChar_;
extern fn _1_ImFont_RenderText_(self: *const ImFont, draw_list: [*c]ImDrawList, size: f32, pos: *const ImVec2, col: ImU32, clip_rect: *const ImVec4, text_begin: [*c]const u8, text_end: [*c]const u8, wrap_width: f32, cpu_fine_clip: bool) void;
pub const RenderText = _1_ImFont_RenderText_;
extern fn _1_ImFont_BuildLookupTable_(self: *ImFont) void;
pub const BuildLookupTable = _1_ImFont_BuildLookupTable_;
extern fn _1_ImFont_ClearOutputData_(self: *ImFont) void;
pub const ClearOutputData = _1_ImFont_ClearOutputData_;
extern fn _1_ImFont_GrowIndex_(self: *ImFont, new_size: c_int) void;
pub const GrowIndex = _1_ImFont_GrowIndex_;
extern fn _1_ImFont_AddGlyph_(self: *ImFont, src_cfg: [*c]const ImFontConfig, c: ImWchar, x0: f32, y0: f32, x1: f32, y1: f32, u0: f32, v0: f32, u1: f32, v1: f32, advance_x: f32) void;
pub const AddGlyph = _1_ImFont_AddGlyph_;
extern fn _1_ImFont_AddRemapChar_(self: *ImFont, dst: ImWchar, src: ImWchar, overwrite_dst: bool) void;
pub const AddRemapChar = _1_ImFont_AddRemapChar_;
extern fn _1_ImFont_SetGlyphVisible_(self: *ImFont, c: ImWchar, visible: bool) void;
pub const SetGlyphVisible = _1_ImFont_SetGlyphVisible_;
extern fn _1_ImFont_IsGlyphRangeUnused_(self: *ImFont, c_begin: c_uint, c_last: c_uint) bool;
pub const IsGlyphRangeUnused = _1_ImFont_IsGlyphRangeUnused_;
};
pub const ImGuiViewportFlags = extern struct {
bits: c_int = 0,
pub const None: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 0) };
pub const IsPlatformWindow: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 1 << 0) };
pub const IsPlatformMonitor: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 1 << 1) };
pub const OwnedByApp: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 1 << 2) };
pub const NoDecoration: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 1 << 3) };
pub const NoTaskBarIcon: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 1 << 4) };
pub const NoFocusOnAppearing: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 1 << 5) };
pub const NoFocusOnClick: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 1 << 6) };
pub const NoInputs: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 1 << 7) };
pub const NoRendererClear: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 1 << 8) };
pub const NoAutoMerge: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 1 << 9) };
pub const TopMost: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 1 << 10) };
pub const CanHostOtherWindows: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 1 << 11) };
pub const IsMinimized: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 1 << 12) };
pub const IsFocused: ImGuiViewportFlags = .{ .bits = @intCast(c_uint, 1 << 13) };
pub usingnamespace cpp.FlagsMixin(ImGuiViewportFlags);
};
pub const ImGuiViewport = extern struct {
ID: ImGuiID,
Flags: ImGuiViewportFlags,
Pos: ImVec2,
Size: ImVec2,
WorkPos: ImVec2,
WorkSize: ImVec2,
DpiScale: f32,
ParentViewportId: ImGuiID,
DrawData: [*c]ImDrawData,
RendererUserData: ?*anyopaque,
PlatformUserData: ?*anyopaque,
PlatformHandle: ?*anyopaque,
PlatformHandleRaw: ?*anyopaque,
PlatformWindowCreated: bool,
PlatformRequestMove: bool,
PlatformRequestResize: bool,
PlatformRequestClose: bool,
extern fn _1_ImGuiViewport_init_() ImGuiViewport;
pub const init = _1_ImGuiViewport_init_;
extern fn _1_ImGuiViewport_deinit_(self: *ImGuiViewport) void;
pub const deinit = _1_ImGuiViewport_deinit_;
pub fn GetCenter(self: *const ImGuiViewport) ImVec2 {
return .{
.x = self.Pos.x + self.Size.x * 0.5,
.y = self.Pos.y + self.Size.y * 0.5,
};
}
pub fn GetWorkCenter(self: *const ImGuiViewport) ImVec2 {
return .{
.x = self.WorkPos.x + self.WorkSize.x * 0.5,
.y = self.WorkPos.y + self.WorkSize.y * 0.5,
};
}
};
pub const ImGuiPlatformIO = extern struct {
Platform_CreateWindow: ?*const fn ([*c]ImGuiViewport) callconv(.C) void,
Platform_DestroyWindow: ?*const fn ([*c]ImGuiViewport) callconv(.C) void,
Platform_ShowWindow: ?*const fn ([*c]ImGuiViewport) callconv(.C) void,
Platform_SetWindowPos: ?*const fn ([*c]ImGuiViewport, ImVec2) callconv(.C) void,
Platform_GetWindowPos: ?*const fn ([*c]ImGuiViewport) callconv(.C) ImVec2,
Platform_SetWindowSize: ?*const fn ([*c]ImGuiViewport, ImVec2) callconv(.C) void,
Platform_GetWindowSize: ?*const fn ([*c]ImGuiViewport) callconv(.C) ImVec2,
Platform_SetWindowFocus: ?*const fn ([*c]ImGuiViewport) callconv(.C) void,
Platform_GetWindowFocus: ?*const fn ([*c]ImGuiViewport) callconv(.C) bool,
Platform_GetWindowMinimized: ?*const fn ([*c]ImGuiViewport) callconv(.C) bool,
Platform_SetWindowTitle: ?*const fn ([*c]ImGuiViewport, [*c]const u8) callconv(.C) void,
Platform_SetWindowAlpha: ?*const fn ([*c]ImGuiViewport, f32) callconv(.C) void,
Platform_UpdateWindow: ?*const fn ([*c]ImGuiViewport) callconv(.C) void,
Platform_RenderWindow: ?*const fn ([*c]ImGuiViewport, ?*anyopaque) callconv(.C) void,
Platform_SwapBuffers: ?*const fn ([*c]ImGuiViewport, ?*anyopaque) callconv(.C) void,
Platform_GetWindowDpiScale: ?*const fn ([*c]ImGuiViewport) callconv(.C) f32,
Platform_OnChangedViewport: ?*const fn ([*c]ImGuiViewport) callconv(.C) void,
Platform_CreateVkSurface: ?*const fn ([*c]ImGuiViewport, ImU64, ?*const anyopaque, [*c]ImU64) callconv(.C) c_int,
Renderer_CreateWindow: ?*const fn ([*c]ImGuiViewport) callconv(.C) void,
Renderer_DestroyWindow: ?*const fn ([*c]ImGuiViewport) callconv(.C) void,
Renderer_SetWindowSize: ?*const fn ([*c]ImGuiViewport, ImVec2) callconv(.C) void,
Renderer_RenderWindow: ?*const fn ([*c]ImGuiViewport, ?*anyopaque) callconv(.C) void,
Renderer_SwapBuffers: ?*const fn ([*c]ImGuiViewport, ?*anyopaque) callconv(.C) void,
Monitors: ImVector(ImGuiPlatformMonitor),
Viewports: ImVector([*c]ImGuiViewport),
extern fn _1_ImGuiPlatformIO_init_() ImGuiPlatformIO;
pub const init = _1_ImGuiPlatformIO_init_;
};
pub const ImGuiPlatformMonitor = extern struct {
MainPos: ImVec2,
MainSize: ImVec2,
WorkPos: ImVec2,
WorkSize: ImVec2,
DpiScale: f32,
extern fn _1_ImGuiPlatformMonitor_init_() ImGuiPlatformMonitor;
pub const init = _1_ImGuiPlatformMonitor_init_;
};
pub const ImGuiPlatformImeData = extern struct {
WantVisible: bool,
InputPos: ImVec2,
InputLineHeight: f32,
extern fn _1_ImGuiPlatformImeData_init_() ImGuiPlatformImeData;
pub const init = _1_ImGuiPlatformImeData_init_;
};
pub inline fn GetKeyIndex(key: ImGuiKey) ImGuiKey {
ImAssert(@intCast(c_int, key) >= @intCast(c_int, ImGuiKey._NamedKey_BEGIN.bits) and @intCast(c_int, key) < @intCast(c_int, ImGuiKey._NamedKey_END.bits) and @as(bool, @as([*c]const u8, "\"ImGuiKey and native_index was merged together and native_index is disabled by IMGUI_DISABLE_OBSOLETE_KEYIO. Please switch to ImGuiKey.\"")));
return key;
}
// opaques
const ImDrawListSharedData = anyopaque;
const ImGuiContext = anyopaque;
const ImFontBuilderIO = anyopaque;
|
0 | repos/c2z/use_cases/imgui | repos/c2z/use_cases/imgui/include/imgui.h | // custom defines and other configurations
extern "C" void ImAssert(bool);
#define IM_ASSERT(exp) ImAssert(exp)
#define IMGUI_DISABLE_OBSOLETE_KEYIO 1
#define IMGUI_DISABLE_OBSOLETE_FUNCTIONS 1
// dear imgui, v1.89.5
// (headers)
// Help:
// - Read FAQ at http://dearimgui.com/faq
// - Newcomers, read 'Programmer guide' in imgui.cpp for notes on how to setup Dear ImGui in your codebase.
// - Call and read ImGui::ShowDemoWindow() in imgui_demo.cpp. All applications in examples/ are doing that.
// Read imgui.cpp for details, links and comments.
// Resources:
// - FAQ http://dearimgui.com/faq
// - Homepage & latest https://github.com/ocornut/imgui
// - Releases & changelog https://github.com/ocornut/imgui/releases
// - Gallery https://github.com/ocornut/imgui/issues/5886 (please post your screenshots/video there!)
// - Wiki https://github.com/ocornut/imgui/wiki (lots of good stuff there)
// - Glossary https://github.com/ocornut/imgui/wiki/Glossary
// - Issues & support https://github.com/ocornut/imgui/issues
// Getting Started?
// - For first-time users having issues compiling/linking/running or issues loading fonts:
// please post in https://github.com/ocornut/imgui/discussions if you cannot find a solution in resources above.
// Library Version
// (Integer encoded as XYYZZ for use in #if preprocessor conditionals, e.g. '#if IMGUI_VERSION_NUM > 12345')
#define IMGUI_VERSION "1.89.5"
#define IMGUI_VERSION_NUM 18950
#define IMGUI_HAS_TABLE
#define IMGUI_HAS_VIEWPORT // Viewport WIP branch
#define IMGUI_HAS_DOCK // Docking WIP branch
/*
Index of this file:
// [SECTION] Header mess
// [SECTION] Forward declarations and basic types
// [SECTION] Dear ImGui end-user API functions
// [SECTION] Flags & Enumerations
// [SECTION] Helpers: Memory allocations macros, ImVector<>
// [SECTION] ImGuiStyle
// [SECTION] ImGuiIO
// [SECTION] Misc data structures (ImGuiInputTextCallbackData, ImGuiSizeCallbackData, ImGuiWindowClass, ImGuiPayload, ImGuiTableSortSpecs, ImGuiTableColumnSortSpecs)
// [SECTION] Helpers (ImGuiOnceUponAFrame, ImGuiTextFilter, ImGuiTextBuffer, ImGuiStorage, ImGuiListClipper, Math Operators, ImColor)
// [SECTION] Drawing API (ImDrawCallback, ImDrawCmd, ImDrawIdx, ImDrawVert, ImDrawChannel, ImDrawListSplitter, ImDrawFlags, ImDrawListFlags, ImDrawList, ImDrawData)
// [SECTION] Font API (ImFontConfig, ImFontGlyph, ImFontGlyphRangesBuilder, ImFontAtlasFlags, ImFontAtlas, ImFont)
// [SECTION] Viewports (ImGuiViewportFlags, ImGuiViewport)
// [SECTION] Platform Dependent Interfaces (ImGuiPlatformIO, ImGuiPlatformMonitor, ImGuiPlatformImeData)
// [SECTION] Obsolete functions and types
*/
#pragma once
// Configuration file with compile-time options
// (edit imconfig.h or '#define IMGUI_USER_CONFIG "myfilename.h" from your build system')
#ifdef IMGUI_USER_CONFIG
#include IMGUI_USER_CONFIG
#endif
#include "imconfig.h"
#ifndef IMGUI_DISABLE
//-----------------------------------------------------------------------------
// [SECTION] Header mess
//-----------------------------------------------------------------------------
// Includes
#include <float.h> // FLT_MIN, FLT_MAX
#include <stdarg.h> // va_list, va_start, va_end
#include <stddef.h> // ptrdiff_t, NULL
#include <string.h> // memset, memmove, memcpy, strlen, strchr, strcpy, strcmp
// Define attributes of all API symbols declarations (e.g. for DLL under Windows)
// IMGUI_API is used for core imgui functions, IMGUI_IMPL_API is used for the default backends files (imgui_impl_xxx.h)
// Using dear imgui via a shared library is not recommended, because we don't guarantee backward nor forward ABI compatibility (also function call overhead, as dear imgui is a call-heavy API)
#ifndef IMGUI_API
#define IMGUI_API
#endif
#ifndef IMGUI_IMPL_API
#define IMGUI_IMPL_API IMGUI_API
#endif
// Helper Macros
#ifndef IM_ASSERT
#include <assert.h>
#define IM_ASSERT(_EXPR) assert(_EXPR) // You can override the default assert handler by editing imconfig.h
#endif
#define IM_ARRAYSIZE(_ARR) ((int)(sizeof(_ARR) / sizeof(*(_ARR)))) // Size of a static C-style array. Don't use on pointers!
#define IM_UNUSED(_VAR) ((void)(_VAR)) // Used to silence "unused variable warnings". Often useful as asserts may be stripped out from final builds.
#define IM_OFFSETOF(_TYPE,_MEMBER) offsetof(_TYPE, _MEMBER) // Offset of _MEMBER within _TYPE. Standardized as offsetof() in C++11
#define IMGUI_CHECKVERSION() ImGui::DebugCheckVersionAndDataLayout(IMGUI_VERSION, sizeof(ImGuiIO), sizeof(ImGuiStyle), sizeof(ImVec2), sizeof(ImVec4), sizeof(ImDrawVert), sizeof(ImDrawIdx))
// Helper Macros - IM_FMTARGS, IM_FMTLIST: Apply printf-style warnings to our formatting functions.
#if !defined(IMGUI_USE_STB_SPRINTF) && defined(__MINGW32__) && !defined(__clang__)
#define IM_FMTARGS(FMT) __attribute__((format(gnu_printf, FMT, FMT+1)))
#define IM_FMTLIST(FMT) __attribute__((format(gnu_printf, FMT, 0)))
#elif !defined(IMGUI_USE_STB_SPRINTF) && (defined(__clang__) || defined(__GNUC__))
#define IM_FMTARGS(FMT) __attribute__((format(printf, FMT, FMT+1)))
#define IM_FMTLIST(FMT) __attribute__((format(printf, FMT, 0)))
#else
#define IM_FMTARGS(FMT)
#define IM_FMTLIST(FMT)
#endif
// Disable some of MSVC most aggressive Debug runtime checks in function header/footer (used in some simple/low-level functions)
#if defined(_MSC_VER) && !defined(__clang__) && !defined(__INTEL_COMPILER) && !defined(IMGUI_DEBUG_PARANOID)
#define IM_MSVC_RUNTIME_CHECKS_OFF __pragma(runtime_checks("",off)) __pragma(check_stack(off)) __pragma(strict_gs_check(push,off))
#define IM_MSVC_RUNTIME_CHECKS_RESTORE __pragma(runtime_checks("",restore)) __pragma(check_stack()) __pragma(strict_gs_check(pop))
#else
#define IM_MSVC_RUNTIME_CHECKS_OFF
#define IM_MSVC_RUNTIME_CHECKS_RESTORE
#endif
// Warnings
#ifdef _MSC_VER
#pragma warning (push)
#pragma warning (disable: 26495) // [Static Analyzer] Variable 'XXX' is uninitialized. Always initialize a member variable (type.6).
#endif
#if defined(__clang__)
#pragma clang diagnostic push
#pragma clang diagnostic ignored "-Wold-style-cast"
#if __has_warning("-Wzero-as-null-pointer-constant")
#pragma clang diagnostic ignored "-Wzero-as-null-pointer-constant"
#endif
#elif defined(__GNUC__)
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wpragmas" // warning: unknown option after '#pragma GCC diagnostic' kind
#pragma GCC diagnostic ignored "-Wclass-memaccess" // [__GNUC__ >= 8] warning: 'memset/memcpy' clearing/writing an object of type 'xxxx' with no trivial copy-assignment; use assignment or value-initialization instead
#endif
//-----------------------------------------------------------------------------
// [SECTION] Forward declarations and basic types
//-----------------------------------------------------------------------------
// Forward declarations
struct ImDrawChannel; // Temporary storage to output draw commands out of order, used by ImDrawListSplitter and ImDrawList::ChannelsSplit()
struct ImDrawCmd; // A single draw command within a parent ImDrawList (generally maps to 1 GPU draw call, unless it is a callback)
struct ImDrawData; // All draw command lists required to render the frame + pos/size coordinates to use for the projection matrix.
struct ImDrawList; // A single draw command list (generally one per window, conceptually you may see this as a dynamic "mesh" builder)
struct ImDrawListSharedData; // Data shared among multiple draw lists (typically owned by parent ImGui context, but you may create one yourself)
struct ImDrawListSplitter; // Helper to split a draw list into different layers which can be drawn into out of order, then flattened back.
struct ImDrawVert; // A single vertex (pos + uv + col = 20 bytes by default. Override layout with IMGUI_OVERRIDE_DRAWVERT_STRUCT_LAYOUT)
struct ImFont; // Runtime data for a single font within a parent ImFontAtlas
struct ImFontAtlas; // Runtime data for multiple fonts, bake multiple fonts into a single texture, TTF/OTF font loader
struct ImFontBuilderIO; // Opaque interface to a font builder (stb_truetype or FreeType).
struct ImFontConfig; // Configuration data when adding a font or merging fonts
struct ImFontGlyph; // A single font glyph (code point + coordinates within in ImFontAtlas + offset)
struct ImFontGlyphRangesBuilder; // Helper to build glyph ranges from text/string data
struct ImColor; // Helper functions to create a color that can be converted to either u32 or float4 (*OBSOLETE* please avoid using)
struct ImGuiContext; // Dear ImGui context (opaque structure, unless including imgui_internal.h)
struct ImGuiIO; // Main configuration and I/O between your application and ImGui
struct ImGuiInputTextCallbackData; // Shared state of InputText() when using custom ImGuiInputTextCallback (rare/advanced use)
struct ImGuiKeyData; // Storage for ImGuiIO and IsKeyDown(), IsKeyPressed() etc functions.
struct ImGuiListClipper; // Helper to manually clip large list of items
struct ImGuiOnceUponAFrame; // Helper for running a block of code not more than once a frame
struct ImGuiPayload; // User data payload for drag and drop operations
struct ImGuiPlatformIO; // Multi-viewport support: interface for Platform/Renderer backends + viewports to render
struct ImGuiPlatformMonitor; // Multi-viewport support: user-provided bounds for each connected monitor/display. Used when positioning popups and tooltips to avoid them straddling monitors
struct ImGuiPlatformImeData; // Platform IME data for io.SetPlatformImeDataFn() function.
struct ImGuiSizeCallbackData; // Callback data when using SetNextWindowSizeConstraints() (rare/advanced use)
struct ImGuiStorage; // Helper for key->value storage
struct ImGuiStyle; // Runtime data for styling/colors
struct ImGuiTableSortSpecs; // Sorting specifications for a table (often handling sort specs for a single column, occasionally more)
struct ImGuiTableColumnSortSpecs; // Sorting specification for one column of a table
struct ImGuiTextBuffer; // Helper to hold and append into a text buffer (~string builder)
struct ImGuiTextFilter; // Helper to parse and apply text filters (e.g. "aaaaa[,bbbbb][,ccccc]")
struct ImGuiViewport; // A Platform Window (always 1 unless multi-viewport are enabled. One per platform window to output to). In the future may represent Platform Monitor
struct ImGuiWindowClass; // Window class (rare/advanced uses: provide hints to the platform backend via altered viewport flags and parent/child info)
// Enumerations
// - We don't use strongly typed enums much because they add constraints (can't extend in private code, can't store typed in bit fields, extra casting on iteration)
// - Tip: Use your programming IDE navigation facilities on the names in the _central column_ below to find the actual flags/enum lists!
// In Visual Studio IDE: CTRL+comma ("Edit.GoToAll") can follow symbols in comments, whereas CTRL+F12 ("Edit.GoToImplementation") cannot.
// With Visual Assist installed: ALT+G ("VAssistX.GoToImplementation") can also follow symbols in comments.
enum ImGuiKey : int; // -> enum ImGuiKey // Enum: A key identifier (ImGuiKey_XXX or ImGuiMod_XXX value)
enum ImGuiMouseSource : int; // -> enum ImGuiMouseSource // Enum; A mouse input source identifier (Mouse, TouchScreen, Pen)
typedef int ImGuiCol; // -> enum ImGuiCol_ // Enum: A color identifier for styling
typedef int ImGuiCond; // -> enum ImGuiCond_ // Enum: A condition for many Set*() functions
typedef int ImGuiDataType; // -> enum ImGuiDataType_ // Enum: A primary data type
typedef int ImGuiDir; // -> enum ImGuiDir_ // Enum: A cardinal direction
typedef int ImGuiMouseButton; // -> enum ImGuiMouseButton_ // Enum: A mouse button identifier (0=left, 1=right, 2=middle)
typedef int ImGuiMouseCursor; // -> enum ImGuiMouseCursor_ // Enum: A mouse cursor shape
typedef int ImGuiSortDirection; // -> enum ImGuiSortDirection_ // Enum: A sorting direction (ascending or descending)
typedef int ImGuiStyleVar; // -> enum ImGuiStyleVar_ // Enum: A variable identifier for styling
typedef int ImGuiTableBgTarget; // -> enum ImGuiTableBgTarget_ // Enum: A color target for TableSetBgColor()
// Flags (declared as int for compatibility with old C++, to allow using as flags without overhead, and to not pollute the top of this file)
// - Tip: Use your programming IDE navigation facilities on the names in the _central column_ below to find the actual flags/enum lists!
// In Visual Studio IDE: CTRL+comma ("Edit.GoToAll") can follow symbols in comments, whereas CTRL+F12 ("Edit.GoToImplementation") cannot.
// With Visual Assist installed: ALT+G ("VAssistX.GoToImplementation") can also follow symbols in comments.
typedef int ImDrawFlags; // -> enum ImDrawFlags_ // Flags: for ImDrawList functions
typedef int ImDrawListFlags; // -> enum ImDrawListFlags_ // Flags: for ImDrawList instance
typedef int ImFontAtlasFlags; // -> enum ImFontAtlasFlags_ // Flags: for ImFontAtlas build
typedef int ImGuiBackendFlags; // -> enum ImGuiBackendFlags_ // Flags: for io.BackendFlags
typedef int ImGuiButtonFlags; // -> enum ImGuiButtonFlags_ // Flags: for InvisibleButton()
typedef int ImGuiColorEditFlags; // -> enum ImGuiColorEditFlags_ // Flags: for ColorEdit4(), ColorPicker4() etc.
typedef int ImGuiConfigFlags; // -> enum ImGuiConfigFlags_ // Flags: for io.ConfigFlags
typedef int ImGuiComboFlags; // -> enum ImGuiComboFlags_ // Flags: for BeginCombo()
typedef int ImGuiDockNodeFlags; // -> enum ImGuiDockNodeFlags_ // Flags: for DockSpace()
typedef int ImGuiDragDropFlags; // -> enum ImGuiDragDropFlags_ // Flags: for BeginDragDropSource(), AcceptDragDropPayload()
typedef int ImGuiFocusedFlags; // -> enum ImGuiFocusedFlags_ // Flags: for IsWindowFocused()
typedef int ImGuiHoveredFlags; // -> enum ImGuiHoveredFlags_ // Flags: for IsItemHovered(), IsWindowHovered() etc.
typedef int ImGuiInputTextFlags; // -> enum ImGuiInputTextFlags_ // Flags: for InputText(), InputTextMultiline()
typedef int ImGuiKeyChord; // -> ImGuiKey | ImGuiMod_XXX // Flags: for storage only for now: an ImGuiKey optionally OR-ed with one or more ImGuiMod_XXX values.
typedef int ImGuiPopupFlags; // -> enum ImGuiPopupFlags_ // Flags: for OpenPopup*(), BeginPopupContext*(), IsPopupOpen()
typedef int ImGuiSelectableFlags; // -> enum ImGuiSelectableFlags_ // Flags: for Selectable()
typedef int ImGuiSliderFlags; // -> enum ImGuiSliderFlags_ // Flags: for DragFloat(), DragInt(), SliderFloat(), SliderInt() etc.
typedef int ImGuiTabBarFlags; // -> enum ImGuiTabBarFlags_ // Flags: for BeginTabBar()
typedef int ImGuiTabItemFlags; // -> enum ImGuiTabItemFlags_ // Flags: for BeginTabItem()
typedef int ImGuiTableFlags; // -> enum ImGuiTableFlags_ // Flags: For BeginTable()
typedef int ImGuiTableColumnFlags; // -> enum ImGuiTableColumnFlags_// Flags: For TableSetupColumn()
typedef int ImGuiTableRowFlags; // -> enum ImGuiTableRowFlags_ // Flags: For TableNextRow()
typedef int ImGuiTreeNodeFlags; // -> enum ImGuiTreeNodeFlags_ // Flags: for TreeNode(), TreeNodeEx(), CollapsingHeader()
typedef int ImGuiViewportFlags; // -> enum ImGuiViewportFlags_ // Flags: for ImGuiViewport
typedef int ImGuiWindowFlags; // -> enum ImGuiWindowFlags_ // Flags: for Begin(), BeginChild()
// ImTexture: user data for renderer backend to identify a texture [Compile-time configurable type]
// - To use something else than an opaque void* pointer: override with e.g. '#define ImTextureID MyTextureType*' in your imconfig.h file.
// - This can be whatever to you want it to be! read the FAQ about ImTextureID for details.
#ifndef ImTextureID
typedef void* ImTextureID; // Default: store a pointer or an integer fitting in a pointer (most renderer backends are ok with that)
#endif
// ImDrawIdx: vertex index. [Compile-time configurable type]
// - To use 16-bit indices + allow large meshes: backend need to set 'io.BackendFlags |= ImGuiBackendFlags_RendererHasVtxOffset' and handle ImDrawCmd::VtxOffset (recommended).
// - To use 32-bit indices: override with '#define ImDrawIdx unsigned int' in your imconfig.h file.
#ifndef ImDrawIdx
typedef unsigned short ImDrawIdx; // Default: 16-bit (for maximum compatibility with renderer backends)
#endif
// Scalar data types
typedef unsigned int ImGuiID;// A unique ID used by widgets (typically the result of hashing a stack of string)
typedef signed char ImS8; // 8-bit signed integer
typedef unsigned char ImU8; // 8-bit unsigned integer
typedef signed short ImS16; // 16-bit signed integer
typedef unsigned short ImU16; // 16-bit unsigned integer
typedef signed int ImS32; // 32-bit signed integer == int
typedef unsigned int ImU32; // 32-bit unsigned integer (often used to store packed colors)
typedef signed long long ImS64; // 64-bit signed integer
typedef unsigned long long ImU64; // 64-bit unsigned integer
// Character types
// (we generally use UTF-8 encoded string in the API. This is storage specifically for a decoded character used for keyboard input and display)
typedef unsigned short ImWchar16; // A single decoded U16 character/code point. We encode them as multi bytes UTF-8 when used in strings.
typedef unsigned int ImWchar32; // A single decoded U32 character/code point. We encode them as multi bytes UTF-8 when used in strings.
#ifdef IMGUI_USE_WCHAR32 // ImWchar [configurable type: override in imconfig.h with '#define IMGUI_USE_WCHAR32' to support Unicode planes 1-16]
typedef ImWchar32 ImWchar;
#else
typedef ImWchar16 ImWchar;
#endif
// Callback and functions types
typedef int (*ImGuiInputTextCallback)(ImGuiInputTextCallbackData* data); // Callback function for ImGui::InputText()
typedef void (*ImGuiSizeCallback)(ImGuiSizeCallbackData* data); // Callback function for ImGui::SetNextWindowSizeConstraints()
typedef void* (*ImGuiMemAllocFunc)(size_t sz, void* user_data); // Function signature for ImGui::SetAllocatorFunctions()
typedef void (*ImGuiMemFreeFunc)(void* ptr, void* user_data); // Function signature for ImGui::SetAllocatorFunctions()
// ImVec2: 2D vector used to store positions, sizes etc. [Compile-time configurable type]
// This is a frequently used type in the API. Consider using IM_VEC2_CLASS_EXTRA to create implicit cast from/to our preferred type.
IM_MSVC_RUNTIME_CHECKS_OFF
struct ImVec2
{
float x, y;
constexpr ImVec2() : x(0.0f), y(0.0f) { }
constexpr ImVec2(float _x, float _y) : x(_x), y(_y) { }
float& operator[] (size_t idx) { IM_ASSERT(idx == 0 || idx == 1); return ((float*)(void*)(char*)this)[idx]; } // We very rarely use this [] operator, so the assert overhead is fine.
float operator[] (size_t idx) const { IM_ASSERT(idx == 0 || idx == 1); return ((const float*)(const void*)(const char*)this)[idx]; }
#ifdef IM_VEC2_CLASS_EXTRA
IM_VEC2_CLASS_EXTRA // Define additional constructors and implicit cast operators in imconfig.h to convert back and forth between your math types and ImVec2.
#endif
};
// ImVec4: 4D vector used to store clipping rectangles, colors etc. [Compile-time configurable type]
struct ImVec4
{
float x, y, z, w;
constexpr ImVec4() : x(0.0f), y(0.0f), z(0.0f), w(0.0f) { }
constexpr ImVec4(float _x, float _y, float _z, float _w) : x(_x), y(_y), z(_z), w(_w) { }
#ifdef IM_VEC4_CLASS_EXTRA
IM_VEC4_CLASS_EXTRA // Define additional constructors and implicit cast operators in imconfig.h to convert back and forth between your math types and ImVec4.
#endif
};
IM_MSVC_RUNTIME_CHECKS_RESTORE
//-----------------------------------------------------------------------------
// [SECTION] Dear ImGui end-user API functions
// (Note that ImGui:: being a namespace, you can add extra ImGui:: functions in your own separate file. Please don't modify imgui source files!)
//-----------------------------------------------------------------------------
namespace ImGui
{
// Context creation and access
// - Each context create its own ImFontAtlas by default. You may instance one yourself and pass it to CreateContext() to share a font atlas between contexts.
// - DLL users: heaps and globals are not shared across DLL boundaries! You will need to call SetCurrentContext() + SetAllocatorFunctions()
// for each static/DLL boundary you are calling from. Read "Context and Memory Allocators" section of imgui.cpp for details.
IMGUI_API ImGuiContext* CreateContext(ImFontAtlas* shared_font_atlas = NULL);
IMGUI_API void DestroyContext(ImGuiContext* ctx = NULL); // NULL = destroy current context
IMGUI_API ImGuiContext* GetCurrentContext();
IMGUI_API void SetCurrentContext(ImGuiContext* ctx);
// Main
IMGUI_API ImGuiIO& GetIO(); // access the IO structure (mouse/keyboard/gamepad inputs, time, various configuration options/flags)
IMGUI_API ImGuiStyle& GetStyle(); // access the Style structure (colors, sizes). Always use PushStyleCol(), PushStyleVar() to modify style mid-frame!
IMGUI_API void NewFrame(); // start a new Dear ImGui frame, you can submit any command from this point until Render()/EndFrame().
IMGUI_API void EndFrame(); // ends the Dear ImGui frame. automatically called by Render(). If you don't need to render data (skipping rendering) you may call EndFrame() without Render()... but you'll have wasted CPU already! If you don't need to render, better to not create any windows and not call NewFrame() at all!
IMGUI_API void Render(); // ends the Dear ImGui frame, finalize the draw data. You can then get call GetDrawData().
IMGUI_API ImDrawData* GetDrawData(); // valid after Render() and until the next call to NewFrame(). this is what you have to render.
// Demo, Debug, Information
IMGUI_API void ShowDemoWindow(bool* p_open = NULL); // create Demo window. demonstrate most ImGui features. call this to learn about the library! try to make it always available in your application!
IMGUI_API void ShowMetricsWindow(bool* p_open = NULL); // create Metrics/Debugger window. display Dear ImGui internals: windows, draw commands, various internal state, etc.
IMGUI_API void ShowDebugLogWindow(bool* p_open = NULL); // create Debug Log window. display a simplified log of important dear imgui events.
IMGUI_API void ShowStackToolWindow(bool* p_open = NULL); // create Stack Tool window. hover items with mouse to query information about the source of their unique ID.
IMGUI_API void ShowAboutWindow(bool* p_open = NULL); // create About window. display Dear ImGui version, credits and build/system information.
IMGUI_API void ShowStyleEditor(ImGuiStyle* ref = NULL); // add style editor block (not a window). you can pass in a reference ImGuiStyle structure to compare to, revert to and save to (else it uses the default style)
IMGUI_API bool ShowStyleSelector(const char* label); // add style selector block (not a window), essentially a combo listing the default styles.
IMGUI_API void ShowFontSelector(const char* label); // add font selector block (not a window), essentially a combo listing the loaded fonts.
IMGUI_API void ShowUserGuide(); // add basic help/info block (not a window): how to manipulate ImGui as an end-user (mouse/keyboard controls).
IMGUI_API const char* GetVersion(); // get the compiled version string e.g. "1.80 WIP" (essentially the value for IMGUI_VERSION from the compiled version of imgui.cpp)
// Styles
IMGUI_API void StyleColorsDark(ImGuiStyle* dst = NULL); // new, recommended style (default)
IMGUI_API void StyleColorsLight(ImGuiStyle* dst = NULL); // best used with borders and a custom, thicker font
IMGUI_API void StyleColorsClassic(ImGuiStyle* dst = NULL); // classic imgui style
// Windows
// - Begin() = push window to the stack and start appending to it. End() = pop window from the stack.
// - Passing 'bool* p_open != NULL' shows a window-closing widget in the upper-right corner of the window,
// which clicking will set the boolean to false when clicked.
// - You may append multiple times to the same window during the same frame by calling Begin()/End() pairs multiple times.
// Some information such as 'flags' or 'p_open' will only be considered by the first call to Begin().
// - Begin() return false to indicate the window is collapsed or fully clipped, so you may early out and omit submitting
// anything to the window. Always call a matching End() for each Begin() call, regardless of its return value!
// [Important: due to legacy reason, this is inconsistent with most other functions such as BeginMenu/EndMenu,
// BeginPopup/EndPopup, etc. where the EndXXX call should only be called if the corresponding BeginXXX function
// returned true. Begin and BeginChild are the only odd ones out. Will be fixed in a future update.]
// - Note that the bottom of window stack always contains a window called "Debug".
IMGUI_API bool Begin(const char* name, bool* p_open = NULL, ImGuiWindowFlags flags = 0);
IMGUI_API void End();
// Child Windows
// - Use child windows to begin into a self-contained independent scrolling/clipping regions within a host window. Child windows can embed their own child.
// - For each independent axis of 'size': ==0.0f: use remaining host window size / >0.0f: fixed size / <0.0f: use remaining window size minus abs(size) / Each axis can use a different mode, e.g. ImVec2(0,400).
// - BeginChild() returns false to indicate the window is collapsed or fully clipped, so you may early out and omit submitting anything to the window.
// Always call a matching EndChild() for each BeginChild() call, regardless of its return value.
// [Important: due to legacy reason, this is inconsistent with most other functions such as BeginMenu/EndMenu,
// BeginPopup/EndPopup, etc. where the EndXXX call should only be called if the corresponding BeginXXX function
// returned true. Begin and BeginChild are the only odd ones out. Will be fixed in a future update.]
IMGUI_API bool BeginChild(const char* str_id, const ImVec2& size = ImVec2(0, 0), bool border = false, ImGuiWindowFlags flags = 0);
IMGUI_API bool BeginChild(ImGuiID id, const ImVec2& size = ImVec2(0, 0), bool border = false, ImGuiWindowFlags flags = 0);
IMGUI_API void EndChild();
// Windows Utilities
// - 'current window' = the window we are appending into while inside a Begin()/End() block. 'next window' = next window we will Begin() into.
IMGUI_API bool IsWindowAppearing();
IMGUI_API bool IsWindowCollapsed();
IMGUI_API bool IsWindowFocused(ImGuiFocusedFlags flags=0); // is current window focused? or its root/child, depending on flags. see flags for options.
IMGUI_API bool IsWindowHovered(ImGuiHoveredFlags flags=0); // is current window hovered (and typically: not blocked by a popup/modal)? see flags for options. NB: If you are trying to check whether your mouse should be dispatched to imgui or to your app, you should use the 'io.WantCaptureMouse' boolean for that! Please read the FAQ!
IMGUI_API ImDrawList* GetWindowDrawList(); // get draw list associated to the current window, to append your own drawing primitives
IMGUI_API float GetWindowDpiScale(); // get DPI scale currently associated to the current window's viewport.
IMGUI_API ImVec2 GetWindowPos(); // get current window position in screen space (useful if you want to do your own drawing via the DrawList API)
IMGUI_API ImVec2 GetWindowSize(); // get current window size
IMGUI_API float GetWindowWidth(); // get current window width (shortcut for GetWindowSize().x)
IMGUI_API float GetWindowHeight(); // get current window height (shortcut for GetWindowSize().y)
IMGUI_API ImGuiViewport*GetWindowViewport(); // get viewport currently associated to the current window.
// Window manipulation
// - Prefer using SetNextXXX functions (before Begin) rather that SetXXX functions (after Begin).
IMGUI_API void SetNextWindowPos(const ImVec2& pos, ImGuiCond cond = 0, const ImVec2& pivot = ImVec2(0, 0)); // set next window position. call before Begin(). use pivot=(0.5f,0.5f) to center on given point, etc.
IMGUI_API void SetNextWindowSize(const ImVec2& size, ImGuiCond cond = 0); // set next window size. set axis to 0.0f to force an auto-fit on this axis. call before Begin()
IMGUI_API void SetNextWindowSizeConstraints(const ImVec2& size_min, const ImVec2& size_max, ImGuiSizeCallback custom_callback = NULL, void* custom_callback_data = NULL); // set next window size limits. use -1,-1 on either X/Y axis to preserve the current size. Sizes will be rounded down. Use callback to apply non-trivial programmatic constraints.
IMGUI_API void SetNextWindowContentSize(const ImVec2& size); // set next window content size (~ scrollable client area, which enforce the range of scrollbars). Not including window decorations (title bar, menu bar, etc.) nor WindowPadding. set an axis to 0.0f to leave it automatic. call before Begin()
IMGUI_API void SetNextWindowCollapsed(bool collapsed, ImGuiCond cond = 0); // set next window collapsed state. call before Begin()
IMGUI_API void SetNextWindowFocus(); // set next window to be focused / top-most. call before Begin()
IMGUI_API void SetNextWindowScroll(const ImVec2& scroll); // set next window scrolling value (use < 0.0f to not affect a given axis).
IMGUI_API void SetNextWindowBgAlpha(float alpha); // set next window background color alpha. helper to easily override the Alpha component of ImGuiCol_WindowBg/ChildBg/PopupBg. you may also use ImGuiWindowFlags_NoBackground.
IMGUI_API void SetNextWindowViewport(ImGuiID viewport_id); // set next window viewport
IMGUI_API void SetWindowPos(const ImVec2& pos, ImGuiCond cond = 0); // (not recommended) set current window position - call within Begin()/End(). prefer using SetNextWindowPos(), as this may incur tearing and side-effects.
IMGUI_API void SetWindowSize(const ImVec2& size, ImGuiCond cond = 0); // (not recommended) set current window size - call within Begin()/End(). set to ImVec2(0, 0) to force an auto-fit. prefer using SetNextWindowSize(), as this may incur tearing and minor side-effects.
IMGUI_API void SetWindowCollapsed(bool collapsed, ImGuiCond cond = 0); // (not recommended) set current window collapsed state. prefer using SetNextWindowCollapsed().
IMGUI_API void SetWindowFocus(); // (not recommended) set current window to be focused / top-most. prefer using SetNextWindowFocus().
IMGUI_API void SetWindowFontScale(float scale); // [OBSOLETE] set font scale. Adjust IO.FontGlobalScale if you want to scale all windows. This is an old API! For correct scaling, prefer to reload font + rebuild ImFontAtlas + call style.ScaleAllSizes().
IMGUI_API void SetWindowPos(const char* name, const ImVec2& pos, ImGuiCond cond = 0); // set named window position.
IMGUI_API void SetWindowSize(const char* name, const ImVec2& size, ImGuiCond cond = 0); // set named window size. set axis to 0.0f to force an auto-fit on this axis.
IMGUI_API void SetWindowCollapsed(const char* name, bool collapsed, ImGuiCond cond = 0); // set named window collapsed state
IMGUI_API void SetWindowFocus(const char* name); // set named window to be focused / top-most. use NULL to remove focus.
// Content region
// - Retrieve available space from a given point. GetContentRegionAvail() is frequently useful.
// - Those functions are bound to be redesigned (they are confusing, incomplete and the Min/Max return values are in local window coordinates which increases confusion)
IMGUI_API ImVec2 GetContentRegionAvail(); // == GetContentRegionMax() - GetCursorPos()
IMGUI_API ImVec2 GetContentRegionMax(); // current content boundaries (typically window boundaries including scrolling, or current column boundaries), in windows coordinates
IMGUI_API ImVec2 GetWindowContentRegionMin(); // content boundaries min for the full window (roughly (0,0)-Scroll), in window coordinates
IMGUI_API ImVec2 GetWindowContentRegionMax(); // content boundaries max for the full window (roughly (0,0)+Size-Scroll) where Size can be overridden with SetNextWindowContentSize(), in window coordinates
// Windows Scrolling
// - Any change of Scroll will be applied at the beginning of next frame in the first call to Begin().
// - You may instead use SetNextWindowScroll() prior to calling Begin() to avoid this delay, as an alternative to using SetScrollX()/SetScrollY().
IMGUI_API float GetScrollX(); // get scrolling amount [0 .. GetScrollMaxX()]
IMGUI_API float GetScrollY(); // get scrolling amount [0 .. GetScrollMaxY()]
IMGUI_API void SetScrollX(float scroll_x); // set scrolling amount [0 .. GetScrollMaxX()]
IMGUI_API void SetScrollY(float scroll_y); // set scrolling amount [0 .. GetScrollMaxY()]
IMGUI_API float GetScrollMaxX(); // get maximum scrolling amount ~~ ContentSize.x - WindowSize.x - DecorationsSize.x
IMGUI_API float GetScrollMaxY(); // get maximum scrolling amount ~~ ContentSize.y - WindowSize.y - DecorationsSize.y
IMGUI_API void SetScrollHereX(float center_x_ratio = 0.5f); // adjust scrolling amount to make current cursor position visible. center_x_ratio=0.0: left, 0.5: center, 1.0: right. When using to make a "default/current item" visible, consider using SetItemDefaultFocus() instead.
IMGUI_API void SetScrollHereY(float center_y_ratio = 0.5f); // adjust scrolling amount to make current cursor position visible. center_y_ratio=0.0: top, 0.5: center, 1.0: bottom. When using to make a "default/current item" visible, consider using SetItemDefaultFocus() instead.
IMGUI_API void SetScrollFromPosX(float local_x, float center_x_ratio = 0.5f); // adjust scrolling amount to make given position visible. Generally GetCursorStartPos() + offset to compute a valid position.
IMGUI_API void SetScrollFromPosY(float local_y, float center_y_ratio = 0.5f); // adjust scrolling amount to make given position visible. Generally GetCursorStartPos() + offset to compute a valid position.
// Parameters stacks (shared)
IMGUI_API void PushFont(ImFont* font); // use NULL as a shortcut to push default font
IMGUI_API void PopFont();
IMGUI_API void PushStyleColor(ImGuiCol idx, ImU32 col); // modify a style color. always use this if you modify the style after NewFrame().
IMGUI_API void PushStyleColor(ImGuiCol idx, const ImVec4& col);
IMGUI_API void PopStyleColor(int count = 1);
IMGUI_API void PushStyleVar(ImGuiStyleVar idx, float val); // modify a style float variable. always use this if you modify the style after NewFrame().
IMGUI_API void PushStyleVar(ImGuiStyleVar idx, const ImVec2& val); // modify a style ImVec2 variable. always use this if you modify the style after NewFrame().
IMGUI_API void PopStyleVar(int count = 1);
IMGUI_API void PushTabStop(bool tab_stop); // == tab stop enable. Allow focusing using TAB/Shift-TAB, enabled by default but you can disable it for certain widgets
IMGUI_API void PopTabStop();
IMGUI_API void PushButtonRepeat(bool repeat); // in 'repeat' mode, Button*() functions return repeated true in a typematic manner (using io.KeyRepeatDelay/io.KeyRepeatRate setting). Note that you can call IsItemActive() after any Button() to tell if the button is held in the current frame.
IMGUI_API void PopButtonRepeat();
// Parameters stacks (current window)
IMGUI_API void PushItemWidth(float item_width); // push width of items for common large "item+label" widgets. >0.0f: width in pixels, <0.0f align xx pixels to the right of window (so -FLT_MIN always align width to the right side).
IMGUI_API void PopItemWidth();
IMGUI_API void SetNextItemWidth(float item_width); // set width of the _next_ common large "item+label" widget. >0.0f: width in pixels, <0.0f align xx pixels to the right of window (so -FLT_MIN always align width to the right side)
IMGUI_API float CalcItemWidth(); // width of item given pushed settings and current cursor position. NOT necessarily the width of last item unlike most 'Item' functions.
IMGUI_API void PushTextWrapPos(float wrap_local_pos_x = 0.0f); // push word-wrapping position for Text*() commands. < 0.0f: no wrapping; 0.0f: wrap to end of window (or column); > 0.0f: wrap at 'wrap_pos_x' position in window local space
IMGUI_API void PopTextWrapPos();
// Style read access
// - Use the ShowStyleEditor() function to interactively see/edit the colors.
IMGUI_API ImFont* GetFont(); // get current font
IMGUI_API float GetFontSize(); // get current font size (= height in pixels) of current font with current scale applied
IMGUI_API ImVec2 GetFontTexUvWhitePixel(); // get UV coordinate for a while pixel, useful to draw custom shapes via the ImDrawList API
IMGUI_API ImU32 GetColorU32(ImGuiCol idx, float alpha_mul = 1.0f); // retrieve given style color with style alpha applied and optional extra alpha multiplier, packed as a 32-bit value suitable for ImDrawList
IMGUI_API ImU32 GetColorU32(const ImVec4& col); // retrieve given color with style alpha applied, packed as a 32-bit value suitable for ImDrawList
IMGUI_API ImU32 GetColorU32(ImU32 col); // retrieve given color with style alpha applied, packed as a 32-bit value suitable for ImDrawList
IMGUI_API const ImVec4& GetStyleColorVec4(ImGuiCol idx); // retrieve style color as stored in ImGuiStyle structure. use to feed back into PushStyleColor(), otherwise use GetColorU32() to get style color with style alpha baked in.
// Cursor / Layout
// - By "cursor" we mean the current output position.
// - The typical widget behavior is to output themselves at the current cursor position, then move the cursor one line down.
// - You can call SameLine() between widgets to undo the last carriage return and output at the right of the preceding widget.
// - Attention! We currently have inconsistencies between window-local and absolute positions we will aim to fix with future API:
// Window-local coordinates: SameLine(), GetCursorPos(), SetCursorPos(), GetCursorStartPos(), GetContentRegionMax(), GetWindowContentRegion*(), PushTextWrapPos()
// Absolute coordinate: GetCursorScreenPos(), SetCursorScreenPos(), all ImDrawList:: functions.
IMGUI_API void Separator(); // separator, generally horizontal. inside a menu bar or in horizontal layout mode, this becomes a vertical separator.
IMGUI_API void SameLine(float offset_from_start_x=0.0f, float spacing=-1.0f); // call between widgets or groups to layout them horizontally. X position given in window coordinates.
IMGUI_API void NewLine(); // undo a SameLine() or force a new line when in a horizontal-layout context.
IMGUI_API void Spacing(); // add vertical spacing.
IMGUI_API void Dummy(const ImVec2& size); // add a dummy item of given size. unlike InvisibleButton(), Dummy() won't take the mouse click or be navigable into.
IMGUI_API void Indent(float indent_w = 0.0f); // move content position toward the right, by indent_w, or style.IndentSpacing if indent_w <= 0
IMGUI_API void Unindent(float indent_w = 0.0f); // move content position back to the left, by indent_w, or style.IndentSpacing if indent_w <= 0
IMGUI_API void BeginGroup(); // lock horizontal starting position
IMGUI_API void EndGroup(); // unlock horizontal starting position + capture the whole group bounding box into one "item" (so you can use IsItemHovered() or layout primitives such as SameLine() on whole group, etc.)
IMGUI_API ImVec2 GetCursorPos(); // cursor position in window coordinates (relative to window position)
IMGUI_API float GetCursorPosX(); // (some functions are using window-relative coordinates, such as: GetCursorPos, GetCursorStartPos, GetContentRegionMax, GetWindowContentRegion* etc.
IMGUI_API float GetCursorPosY(); // other functions such as GetCursorScreenPos or everything in ImDrawList::
IMGUI_API void SetCursorPos(const ImVec2& local_pos); // are using the main, absolute coordinate system.
IMGUI_API void SetCursorPosX(float local_x); // GetWindowPos() + GetCursorPos() == GetCursorScreenPos() etc.)
IMGUI_API void SetCursorPosY(float local_y); //
IMGUI_API ImVec2 GetCursorStartPos(); // initial cursor position in window coordinates
IMGUI_API ImVec2 GetCursorScreenPos(); // cursor position in absolute coordinates (useful to work with ImDrawList API). generally top-left == GetMainViewport()->Pos == (0,0) in single viewport mode, and bottom-right == GetMainViewport()->Pos+Size == io.DisplaySize in single-viewport mode.
IMGUI_API void SetCursorScreenPos(const ImVec2& pos); // cursor position in absolute coordinates
IMGUI_API void AlignTextToFramePadding(); // vertically align upcoming text baseline to FramePadding.y so that it will align properly to regularly framed items (call if you have text on a line before a framed item)
IMGUI_API float GetTextLineHeight(); // ~ FontSize
IMGUI_API float GetTextLineHeightWithSpacing(); // ~ FontSize + style.ItemSpacing.y (distance in pixels between 2 consecutive lines of text)
IMGUI_API float GetFrameHeight(); // ~ FontSize + style.FramePadding.y * 2
IMGUI_API float GetFrameHeightWithSpacing(); // ~ FontSize + style.FramePadding.y * 2 + style.ItemSpacing.y (distance in pixels between 2 consecutive lines of framed widgets)
// ID stack/scopes
// Read the FAQ (docs/FAQ.md or http://dearimgui.com/faq) for more details about how ID are handled in dear imgui.
// - Those questions are answered and impacted by understanding of the ID stack system:
// - "Q: Why is my widget not reacting when I click on it?"
// - "Q: How can I have widgets with an empty label?"
// - "Q: How can I have multiple widgets with the same label?"
// - Short version: ID are hashes of the entire ID stack. If you are creating widgets in a loop you most likely
// want to push a unique identifier (e.g. object pointer, loop index) to uniquely differentiate them.
// - You can also use the "Label##foobar" syntax within widget label to distinguish them from each others.
// - In this header file we use the "label"/"name" terminology to denote a string that will be displayed + used as an ID,
// whereas "str_id" denote a string that is only used as an ID and not normally displayed.
IMGUI_API void PushID(const char* str_id); // push string into the ID stack (will hash string).
IMGUI_API void PushID(const char* str_id_begin, const char* str_id_end); // push string into the ID stack (will hash string).
IMGUI_API void PushID(const void* ptr_id); // push pointer into the ID stack (will hash pointer).
IMGUI_API void PushID(int int_id); // push integer into the ID stack (will hash integer).
IMGUI_API void PopID(); // pop from the ID stack.
IMGUI_API ImGuiID GetID(const char* str_id); // calculate unique ID (hash of whole ID stack + given parameter). e.g. if you want to query into ImGuiStorage yourself
IMGUI_API ImGuiID GetID(const char* str_id_begin, const char* str_id_end);
IMGUI_API ImGuiID GetID(const void* ptr_id);
// Widgets: Text
IMGUI_API void TextUnformatted(const char* text, const char* text_end = NULL); // raw text without formatting. Roughly equivalent to Text("%s", text) but: A) doesn't require null terminated string if 'text_end' is specified, B) it's faster, no memory copy is done, no buffer size limits, recommended for long chunks of text.
IMGUI_API void Text(const char* fmt, ...) IM_FMTARGS(1); // formatted text
IMGUI_API void TextV(const char* fmt, va_list args) IM_FMTLIST(1);
IMGUI_API void TextColored(const ImVec4& col, const char* fmt, ...) IM_FMTARGS(2); // shortcut for PushStyleColor(ImGuiCol_Text, col); Text(fmt, ...); PopStyleColor();
IMGUI_API void TextColoredV(const ImVec4& col, const char* fmt, va_list args) IM_FMTLIST(2);
IMGUI_API void TextDisabled(const char* fmt, ...) IM_FMTARGS(1); // shortcut for PushStyleColor(ImGuiCol_Text, style.Colors[ImGuiCol_TextDisabled]); Text(fmt, ...); PopStyleColor();
IMGUI_API void TextDisabledV(const char* fmt, va_list args) IM_FMTLIST(1);
IMGUI_API void TextWrapped(const char* fmt, ...) IM_FMTARGS(1); // shortcut for PushTextWrapPos(0.0f); Text(fmt, ...); PopTextWrapPos();. Note that this won't work on an auto-resizing window if there's no other widgets to extend the window width, yoy may need to set a size using SetNextWindowSize().
IMGUI_API void TextWrappedV(const char* fmt, va_list args) IM_FMTLIST(1);
IMGUI_API void LabelText(const char* label, const char* fmt, ...) IM_FMTARGS(2); // display text+label aligned the same way as value+label widgets
IMGUI_API void LabelTextV(const char* label, const char* fmt, va_list args) IM_FMTLIST(2);
IMGUI_API void BulletText(const char* fmt, ...) IM_FMTARGS(1); // shortcut for Bullet()+Text()
IMGUI_API void BulletTextV(const char* fmt, va_list args) IM_FMTLIST(1);
IMGUI_API void SeparatorText(const char* label); // currently: formatted text with an horizontal line
// Widgets: Main
// - Most widgets return true when the value has been changed or when pressed/selected
// - You may also use one of the many IsItemXXX functions (e.g. IsItemActive, IsItemHovered, etc.) to query widget state.
IMGUI_API bool Button(const char* label, const ImVec2& size = ImVec2(0, 0)); // button
IMGUI_API bool SmallButton(const char* label); // button with FramePadding=(0,0) to easily embed within text
IMGUI_API bool InvisibleButton(const char* str_id, const ImVec2& size, ImGuiButtonFlags flags = 0); // flexible button behavior without the visuals, frequently useful to build custom behaviors using the public api (along with IsItemActive, IsItemHovered, etc.)
IMGUI_API bool ArrowButton(const char* str_id, ImGuiDir dir); // square button with an arrow shape
IMGUI_API bool Checkbox(const char* label, bool* v);
IMGUI_API bool CheckboxFlags(const char* label, int* flags, int flags_value);
IMGUI_API bool CheckboxFlags(const char* label, unsigned int* flags, unsigned int flags_value);
IMGUI_API bool RadioButton(const char* label, bool active); // use with e.g. if (RadioButton("one", my_value==1)) { my_value = 1; }
IMGUI_API bool RadioButton(const char* label, int* v, int v_button); // shortcut to handle the above pattern when value is an integer
IMGUI_API void ProgressBar(float fraction, const ImVec2& size_arg = ImVec2(-FLT_MIN, 0), const char* overlay = NULL);
IMGUI_API void Bullet(); // draw a small circle + keep the cursor on the same line. advance cursor x position by GetTreeNodeToLabelSpacing(), same distance that TreeNode() uses
// Widgets: Images
// - Read about ImTextureID here: https://github.com/ocornut/imgui/wiki/Image-Loading-and-Displaying-Examples
IMGUI_API void Image(ImTextureID user_texture_id, const ImVec2& size, const ImVec2& uv0 = ImVec2(0, 0), const ImVec2& uv1 = ImVec2(1, 1), const ImVec4& tint_col = ImVec4(1, 1, 1, 1), const ImVec4& border_col = ImVec4(0, 0, 0, 0));
IMGUI_API bool ImageButton(const char* str_id, ImTextureID user_texture_id, const ImVec2& size, const ImVec2& uv0 = ImVec2(0, 0), const ImVec2& uv1 = ImVec2(1, 1), const ImVec4& bg_col = ImVec4(0, 0, 0, 0), const ImVec4& tint_col = ImVec4(1, 1, 1, 1));
// Widgets: Combo Box (Dropdown)
// - The BeginCombo()/EndCombo() api allows you to manage your contents and selection state however you want it, by creating e.g. Selectable() items.
// - The old Combo() api are helpers over BeginCombo()/EndCombo() which are kept available for convenience purpose. This is analogous to how ListBox are created.
IMGUI_API bool BeginCombo(const char* label, const char* preview_value, ImGuiComboFlags flags = 0);
IMGUI_API void EndCombo(); // only call EndCombo() if BeginCombo() returns true!
IMGUI_API bool Combo(const char* label, int* current_item, const char* const items[], int items_count, int popup_max_height_in_items = -1);
IMGUI_API bool Combo(const char* label, int* current_item, const char* items_separated_by_zeros, int popup_max_height_in_items = -1); // Separate items with \0 within a string, end item-list with \0\0. e.g. "One\0Two\0Three\0"
IMGUI_API bool Combo(const char* label, int* current_item, bool(*items_getter)(void* data, int idx, const char** out_text), void* data, int items_count, int popup_max_height_in_items = -1);
// Widgets: Drag Sliders
// - CTRL+Click on any drag box to turn them into an input box. Manually input values aren't clamped by default and can go off-bounds. Use ImGuiSliderFlags_AlwaysClamp to always clamp.
// - For all the Float2/Float3/Float4/Int2/Int3/Int4 versions of every function, note that a 'float v[X]' function argument is the same as 'float* v',
// the array syntax is just a way to document the number of elements that are expected to be accessible. You can pass address of your first element out of a contiguous set, e.g. &myvector.x
// - Adjust format string to decorate the value with a prefix, a suffix, or adapt the editing and display precision e.g. "%.3f" -> 1.234; "%5.2f secs" -> 01.23 secs; "Biscuit: %.0f" -> Biscuit: 1; etc.
// - Format string may also be set to NULL or use the default format ("%f" or "%d").
// - Speed are per-pixel of mouse movement (v_speed=0.2f: mouse needs to move by 5 pixels to increase value by 1). For gamepad/keyboard navigation, minimum speed is Max(v_speed, minimum_step_at_given_precision).
// - Use v_min < v_max to clamp edits to given limits. Note that CTRL+Click manual input can override those limits if ImGuiSliderFlags_AlwaysClamp is not used.
// - Use v_max = FLT_MAX / INT_MAX etc to avoid clamping to a maximum, same with v_min = -FLT_MAX / INT_MIN to avoid clamping to a minimum.
// - We use the same sets of flags for DragXXX() and SliderXXX() functions as the features are the same and it makes it easier to swap them.
// - Legacy: Pre-1.78 there are DragXXX() function signatures that take a final `float power=1.0f' argument instead of the `ImGuiSliderFlags flags=0' argument.
// If you get a warning converting a float to ImGuiSliderFlags, read https://github.com/ocornut/imgui/issues/3361
IMGUI_API bool DragFloat(const char* label, float* v, float v_speed = 1.0f, float v_min = 0.0f, float v_max = 0.0f, const char* format = "%.3f", ImGuiSliderFlags flags = 0); // If v_min >= v_max we have no bound
IMGUI_API bool DragFloat2(const char* label, float v[2], float v_speed = 1.0f, float v_min = 0.0f, float v_max = 0.0f, const char* format = "%.3f", ImGuiSliderFlags flags = 0);
IMGUI_API bool DragFloat3(const char* label, float v[3], float v_speed = 1.0f, float v_min = 0.0f, float v_max = 0.0f, const char* format = "%.3f", ImGuiSliderFlags flags = 0);
IMGUI_API bool DragFloat4(const char* label, float v[4], float v_speed = 1.0f, float v_min = 0.0f, float v_max = 0.0f, const char* format = "%.3f", ImGuiSliderFlags flags = 0);
IMGUI_API bool DragFloatRange2(const char* label, float* v_current_min, float* v_current_max, float v_speed = 1.0f, float v_min = 0.0f, float v_max = 0.0f, const char* format = "%.3f", const char* format_max = NULL, ImGuiSliderFlags flags = 0);
IMGUI_API bool DragInt(const char* label, int* v, float v_speed = 1.0f, int v_min = 0, int v_max = 0, const char* format = "%d", ImGuiSliderFlags flags = 0); // If v_min >= v_max we have no bound
IMGUI_API bool DragInt2(const char* label, int v[2], float v_speed = 1.0f, int v_min = 0, int v_max = 0, const char* format = "%d", ImGuiSliderFlags flags = 0);
IMGUI_API bool DragInt3(const char* label, int v[3], float v_speed = 1.0f, int v_min = 0, int v_max = 0, const char* format = "%d", ImGuiSliderFlags flags = 0);
IMGUI_API bool DragInt4(const char* label, int v[4], float v_speed = 1.0f, int v_min = 0, int v_max = 0, const char* format = "%d", ImGuiSliderFlags flags = 0);
IMGUI_API bool DragIntRange2(const char* label, int* v_current_min, int* v_current_max, float v_speed = 1.0f, int v_min = 0, int v_max = 0, const char* format = "%d", const char* format_max = NULL, ImGuiSliderFlags flags = 0);
IMGUI_API bool DragScalar(const char* label, ImGuiDataType data_type, void* p_data, float v_speed = 1.0f, const void* p_min = NULL, const void* p_max = NULL, const char* format = NULL, ImGuiSliderFlags flags = 0);
IMGUI_API bool DragScalarN(const char* label, ImGuiDataType data_type, void* p_data, int components, float v_speed = 1.0f, const void* p_min = NULL, const void* p_max = NULL, const char* format = NULL, ImGuiSliderFlags flags = 0);
// Widgets: Regular Sliders
// - CTRL+Click on any slider to turn them into an input box. Manually input values aren't clamped by default and can go off-bounds. Use ImGuiSliderFlags_AlwaysClamp to always clamp.
// - Adjust format string to decorate the value with a prefix, a suffix, or adapt the editing and display precision e.g. "%.3f" -> 1.234; "%5.2f secs" -> 01.23 secs; "Biscuit: %.0f" -> Biscuit: 1; etc.
// - Format string may also be set to NULL or use the default format ("%f" or "%d").
// - Legacy: Pre-1.78 there are SliderXXX() function signatures that take a final `float power=1.0f' argument instead of the `ImGuiSliderFlags flags=0' argument.
// If you get a warning converting a float to ImGuiSliderFlags, read https://github.com/ocornut/imgui/issues/3361
IMGUI_API bool SliderFloat(const char* label, float* v, float v_min, float v_max, const char* format = "%.3f", ImGuiSliderFlags flags = 0); // adjust format to decorate the value with a prefix or a suffix for in-slider labels or unit display.
IMGUI_API bool SliderFloat2(const char* label, float v[2], float v_min, float v_max, const char* format = "%.3f", ImGuiSliderFlags flags = 0);
IMGUI_API bool SliderFloat3(const char* label, float v[3], float v_min, float v_max, const char* format = "%.3f", ImGuiSliderFlags flags = 0);
IMGUI_API bool SliderFloat4(const char* label, float v[4], float v_min, float v_max, const char* format = "%.3f", ImGuiSliderFlags flags = 0);
IMGUI_API bool SliderAngle(const char* label, float* v_rad, float v_degrees_min = -360.0f, float v_degrees_max = +360.0f, const char* format = "%.0f deg", ImGuiSliderFlags flags = 0);
IMGUI_API bool SliderInt(const char* label, int* v, int v_min, int v_max, const char* format = "%d", ImGuiSliderFlags flags = 0);
IMGUI_API bool SliderInt2(const char* label, int v[2], int v_min, int v_max, const char* format = "%d", ImGuiSliderFlags flags = 0);
IMGUI_API bool SliderInt3(const char* label, int v[3], int v_min, int v_max, const char* format = "%d", ImGuiSliderFlags flags = 0);
IMGUI_API bool SliderInt4(const char* label, int v[4], int v_min, int v_max, const char* format = "%d", ImGuiSliderFlags flags = 0);
IMGUI_API bool SliderScalar(const char* label, ImGuiDataType data_type, void* p_data, const void* p_min, const void* p_max, const char* format = NULL, ImGuiSliderFlags flags = 0);
IMGUI_API bool SliderScalarN(const char* label, ImGuiDataType data_type, void* p_data, int components, const void* p_min, const void* p_max, const char* format = NULL, ImGuiSliderFlags flags = 0);
IMGUI_API bool VSliderFloat(const char* label, const ImVec2& size, float* v, float v_min, float v_max, const char* format = "%.3f", ImGuiSliderFlags flags = 0);
IMGUI_API bool VSliderInt(const char* label, const ImVec2& size, int* v, int v_min, int v_max, const char* format = "%d", ImGuiSliderFlags flags = 0);
IMGUI_API bool VSliderScalar(const char* label, const ImVec2& size, ImGuiDataType data_type, void* p_data, const void* p_min, const void* p_max, const char* format = NULL, ImGuiSliderFlags flags = 0);
// Widgets: Input with Keyboard
// - If you want to use InputText() with std::string or any custom dynamic string type, see misc/cpp/imgui_stdlib.h and comments in imgui_demo.cpp.
// - Most of the ImGuiInputTextFlags flags are only useful for InputText() and not for InputFloatX, InputIntX, InputDouble etc.
IMGUI_API bool InputText(const char* label, char* buf, size_t buf_size, ImGuiInputTextFlags flags = 0, ImGuiInputTextCallback callback = NULL, void* user_data = NULL);
IMGUI_API bool InputTextMultiline(const char* label, char* buf, size_t buf_size, const ImVec2& size = ImVec2(0, 0), ImGuiInputTextFlags flags = 0, ImGuiInputTextCallback callback = NULL, void* user_data = NULL);
IMGUI_API bool InputTextWithHint(const char* label, const char* hint, char* buf, size_t buf_size, ImGuiInputTextFlags flags = 0, ImGuiInputTextCallback callback = NULL, void* user_data = NULL);
IMGUI_API bool InputFloat(const char* label, float* v, float step = 0.0f, float step_fast = 0.0f, const char* format = "%.3f", ImGuiInputTextFlags flags = 0);
IMGUI_API bool InputFloat2(const char* label, float v[2], const char* format = "%.3f", ImGuiInputTextFlags flags = 0);
IMGUI_API bool InputFloat3(const char* label, float v[3], const char* format = "%.3f", ImGuiInputTextFlags flags = 0);
IMGUI_API bool InputFloat4(const char* label, float v[4], const char* format = "%.3f", ImGuiInputTextFlags flags = 0);
IMGUI_API bool InputInt(const char* label, int* v, int step = 1, int step_fast = 100, ImGuiInputTextFlags flags = 0);
IMGUI_API bool InputInt2(const char* label, int v[2], ImGuiInputTextFlags flags = 0);
IMGUI_API bool InputInt3(const char* label, int v[3], ImGuiInputTextFlags flags = 0);
IMGUI_API bool InputInt4(const char* label, int v[4], ImGuiInputTextFlags flags = 0);
IMGUI_API bool InputDouble(const char* label, double* v, double step = 0.0, double step_fast = 0.0, const char* format = "%.6f", ImGuiInputTextFlags flags = 0);
IMGUI_API bool InputScalar(const char* label, ImGuiDataType data_type, void* p_data, const void* p_step = NULL, const void* p_step_fast = NULL, const char* format = NULL, ImGuiInputTextFlags flags = 0);
IMGUI_API bool InputScalarN(const char* label, ImGuiDataType data_type, void* p_data, int components, const void* p_step = NULL, const void* p_step_fast = NULL, const char* format = NULL, ImGuiInputTextFlags flags = 0);
// Widgets: Color Editor/Picker (tip: the ColorEdit* functions have a little color square that can be left-clicked to open a picker, and right-clicked to open an option menu.)
// - Note that in C++ a 'float v[X]' function argument is the _same_ as 'float* v', the array syntax is just a way to document the number of elements that are expected to be accessible.
// - You can pass the address of a first float element out of a contiguous structure, e.g. &myvector.x
IMGUI_API bool ColorEdit3(const char* label, float col[3], ImGuiColorEditFlags flags = 0);
IMGUI_API bool ColorEdit4(const char* label, float col[4], ImGuiColorEditFlags flags = 0);
IMGUI_API bool ColorPicker3(const char* label, float col[3], ImGuiColorEditFlags flags = 0);
IMGUI_API bool ColorPicker4(const char* label, float col[4], ImGuiColorEditFlags flags = 0, const float* ref_col = NULL);
IMGUI_API bool ColorButton(const char* desc_id, const ImVec4& col, ImGuiColorEditFlags flags = 0, const ImVec2& size = ImVec2(0, 0)); // display a color square/button, hover for details, return true when pressed.
IMGUI_API void SetColorEditOptions(ImGuiColorEditFlags flags); // initialize current options (generally on application startup) if you want to select a default format, picker type, etc. User will be able to change many settings, unless you pass the _NoOptions flag to your calls.
// Widgets: Trees
// - TreeNode functions return true when the node is open, in which case you need to also call TreePop() when you are finished displaying the tree node contents.
IMGUI_API bool TreeNode(const char* label);
IMGUI_API bool TreeNode(const char* str_id, const char* fmt, ...) IM_FMTARGS(2); // helper variation to easily decorelate the id from the displayed string. Read the FAQ about why and how to use ID. to align arbitrary text at the same level as a TreeNode() you can use Bullet().
IMGUI_API bool TreeNode(const void* ptr_id, const char* fmt, ...) IM_FMTARGS(2); // "
IMGUI_API bool TreeNodeV(const char* str_id, const char* fmt, va_list args) IM_FMTLIST(2);
IMGUI_API bool TreeNodeV(const void* ptr_id, const char* fmt, va_list args) IM_FMTLIST(2);
IMGUI_API bool TreeNodeEx(const char* label, ImGuiTreeNodeFlags flags = 0);
IMGUI_API bool TreeNodeEx(const char* str_id, ImGuiTreeNodeFlags flags, const char* fmt, ...) IM_FMTARGS(3);
IMGUI_API bool TreeNodeEx(const void* ptr_id, ImGuiTreeNodeFlags flags, const char* fmt, ...) IM_FMTARGS(3);
IMGUI_API bool TreeNodeExV(const char* str_id, ImGuiTreeNodeFlags flags, const char* fmt, va_list args) IM_FMTLIST(3);
IMGUI_API bool TreeNodeExV(const void* ptr_id, ImGuiTreeNodeFlags flags, const char* fmt, va_list args) IM_FMTLIST(3);
IMGUI_API void TreePush(const char* str_id); // ~ Indent()+PushId(). Already called by TreeNode() when returning true, but you can call TreePush/TreePop yourself if desired.
IMGUI_API void TreePush(const void* ptr_id); // "
IMGUI_API void TreePop(); // ~ Unindent()+PopId()
IMGUI_API float GetTreeNodeToLabelSpacing(); // horizontal distance preceding label when using TreeNode*() or Bullet() == (g.FontSize + style.FramePadding.x*2) for a regular unframed TreeNode
IMGUI_API bool CollapsingHeader(const char* label, ImGuiTreeNodeFlags flags = 0); // if returning 'true' the header is open. doesn't indent nor push on ID stack. user doesn't have to call TreePop().
IMGUI_API bool CollapsingHeader(const char* label, bool* p_visible, ImGuiTreeNodeFlags flags = 0); // when 'p_visible != NULL': if '*p_visible==true' display an additional small close button on upper right of the header which will set the bool to false when clicked, if '*p_visible==false' don't display the header.
IMGUI_API void SetNextItemOpen(bool is_open, ImGuiCond cond = 0); // set next TreeNode/CollapsingHeader open state.
// Widgets: Selectables
// - A selectable highlights when hovered, and can display another color when selected.
// - Neighbors selectable extend their highlight bounds in order to leave no gap between them. This is so a series of selected Selectable appear contiguous.
IMGUI_API bool Selectable(const char* label, bool selected = false, ImGuiSelectableFlags flags = 0, const ImVec2& size = ImVec2(0, 0)); // "bool selected" carry the selection state (read-only). Selectable() is clicked is returns true so you can modify your selection state. size.x==0.0: use remaining width, size.x>0.0: specify width. size.y==0.0: use label height, size.y>0.0: specify height
IMGUI_API bool Selectable(const char* label, bool* p_selected, ImGuiSelectableFlags flags = 0, const ImVec2& size = ImVec2(0, 0)); // "bool* p_selected" point to the selection state (read-write), as a convenient helper.
// Widgets: List Boxes
// - This is essentially a thin wrapper to using BeginChild/EndChild with some stylistic changes.
// - The BeginListBox()/EndListBox() api allows you to manage your contents and selection state however you want it, by creating e.g. Selectable() or any items.
// - The simplified/old ListBox() api are helpers over BeginListBox()/EndListBox() which are kept available for convenience purpose. This is analoguous to how Combos are created.
// - Choose frame width: size.x > 0.0f: custom / size.x < 0.0f or -FLT_MIN: right-align / size.x = 0.0f (default): use current ItemWidth
// - Choose frame height: size.y > 0.0f: custom / size.y < 0.0f or -FLT_MIN: bottom-align / size.y = 0.0f (default): arbitrary default height which can fit ~7 items
IMGUI_API bool BeginListBox(const char* label, const ImVec2& size = ImVec2(0, 0)); // open a framed scrolling region
IMGUI_API void EndListBox(); // only call EndListBox() if BeginListBox() returned true!
IMGUI_API bool ListBox(const char* label, int* current_item, const char* const items[], int items_count, int height_in_items = -1);
IMGUI_API bool ListBox(const char* label, int* current_item, bool (*items_getter)(void* data, int idx, const char** out_text), void* data, int items_count, int height_in_items = -1);
// Widgets: Data Plotting
// - Consider using ImPlot (https://github.com/epezent/implot) which is much better!
IMGUI_API void PlotLines(const char* label, const float* values, int values_count, int values_offset = 0, const char* overlay_text = NULL, float scale_min = FLT_MAX, float scale_max = FLT_MAX, ImVec2 graph_size = ImVec2(0, 0), int stride = sizeof(float));
IMGUI_API void PlotLines(const char* label, float(*values_getter)(void* data, int idx), void* data, int values_count, int values_offset = 0, const char* overlay_text = NULL, float scale_min = FLT_MAX, float scale_max = FLT_MAX, ImVec2 graph_size = ImVec2(0, 0));
IMGUI_API void PlotHistogram(const char* label, const float* values, int values_count, int values_offset = 0, const char* overlay_text = NULL, float scale_min = FLT_MAX, float scale_max = FLT_MAX, ImVec2 graph_size = ImVec2(0, 0), int stride = sizeof(float));
IMGUI_API void PlotHistogram(const char* label, float(*values_getter)(void* data, int idx), void* data, int values_count, int values_offset = 0, const char* overlay_text = NULL, float scale_min = FLT_MAX, float scale_max = FLT_MAX, ImVec2 graph_size = ImVec2(0, 0));
// Widgets: Value() Helpers.
// - Those are merely shortcut to calling Text() with a format string. Output single value in "name: value" format (tip: freely declare more in your code to handle your types. you can add functions to the ImGui namespace)
IMGUI_API void Value(const char* prefix, bool b);
IMGUI_API void Value(const char* prefix, int v);
IMGUI_API void Value(const char* prefix, unsigned int v);
IMGUI_API void Value(const char* prefix, float v, const char* float_format = NULL);
// Widgets: Menus
// - Use BeginMenuBar() on a window ImGuiWindowFlags_MenuBar to append to its menu bar.
// - Use BeginMainMenuBar() to create a menu bar at the top of the screen and append to it.
// - Use BeginMenu() to create a menu. You can call BeginMenu() multiple time with the same identifier to append more items to it.
// - Not that MenuItem() keyboardshortcuts are displayed as a convenience but _not processed_ by Dear ImGui at the moment.
IMGUI_API bool BeginMenuBar(); // append to menu-bar of current window (requires ImGuiWindowFlags_MenuBar flag set on parent window).
IMGUI_API void EndMenuBar(); // only call EndMenuBar() if BeginMenuBar() returns true!
IMGUI_API bool BeginMainMenuBar(); // create and append to a full screen menu-bar.
IMGUI_API void EndMainMenuBar(); // only call EndMainMenuBar() if BeginMainMenuBar() returns true!
IMGUI_API bool BeginMenu(const char* label, bool enabled = true); // create a sub-menu entry. only call EndMenu() if this returns true!
IMGUI_API void EndMenu(); // only call EndMenu() if BeginMenu() returns true!
IMGUI_API bool MenuItem(const char* label, const char* shortcut = NULL, bool selected = false, bool enabled = true); // return true when activated.
IMGUI_API bool MenuItem(const char* label, const char* shortcut, bool* p_selected, bool enabled = true); // return true when activated + toggle (*p_selected) if p_selected != NULL
// Tooltips
// - Tooltip are windows following the mouse. They do not take focus away.
IMGUI_API bool BeginTooltip(); // begin/append a tooltip window. to create full-featured tooltip (with any kind of items).
IMGUI_API void EndTooltip(); // only call EndTooltip() if BeginTooltip() returns true!
IMGUI_API void SetTooltip(const char* fmt, ...) IM_FMTARGS(1); // set a text-only tooltip, typically use with ImGui::IsItemHovered(). override any previous call to SetTooltip().
IMGUI_API void SetTooltipV(const char* fmt, va_list args) IM_FMTLIST(1);
// Popups, Modals
// - They block normal mouse hovering detection (and therefore most mouse interactions) behind them.
// - If not modal: they can be closed by clicking anywhere outside them, or by pressing ESCAPE.
// - Their visibility state (~bool) is held internally instead of being held by the programmer as we are used to with regular Begin*() calls.
// - The 3 properties above are related: we need to retain popup visibility state in the library because popups may be closed as any time.
// - You can bypass the hovering restriction by using ImGuiHoveredFlags_AllowWhenBlockedByPopup when calling IsItemHovered() or IsWindowHovered().
// - IMPORTANT: Popup identifiers are relative to the current ID stack, so OpenPopup and BeginPopup generally needs to be at the same level of the stack.
// This is sometimes leading to confusing mistakes. May rework this in the future.
// Popups: begin/end functions
// - BeginPopup(): query popup state, if open start appending into the window. Call EndPopup() afterwards. ImGuiWindowFlags are forwarded to the window.
// - BeginPopupModal(): block every interaction behind the window, cannot be closed by user, add a dimming background, has a title bar.
IMGUI_API bool BeginPopup(const char* str_id, ImGuiWindowFlags flags = 0); // return true if the popup is open, and you can start outputting to it.
IMGUI_API bool BeginPopupModal(const char* name, bool* p_open = NULL, ImGuiWindowFlags flags = 0); // return true if the modal is open, and you can start outputting to it.
IMGUI_API void EndPopup(); // only call EndPopup() if BeginPopupXXX() returns true!
// Popups: open/close functions
// - OpenPopup(): set popup state to open. ImGuiPopupFlags are available for opening options.
// - If not modal: they can be closed by clicking anywhere outside them, or by pressing ESCAPE.
// - CloseCurrentPopup(): use inside the BeginPopup()/EndPopup() scope to close manually.
// - CloseCurrentPopup() is called by default by Selectable()/MenuItem() when activated (FIXME: need some options).
// - Use ImGuiPopupFlags_NoOpenOverExistingPopup to avoid opening a popup if there's already one at the same level. This is equivalent to e.g. testing for !IsAnyPopupOpen() prior to OpenPopup().
// - Use IsWindowAppearing() after BeginPopup() to tell if a window just opened.
// - IMPORTANT: Notice that for OpenPopupOnItemClick() we exceptionally default flags to 1 (== ImGuiPopupFlags_MouseButtonRight) for backward compatibility with older API taking 'int mouse_button = 1' parameter
IMGUI_API void OpenPopup(const char* str_id, ImGuiPopupFlags popup_flags = 0); // call to mark popup as open (don't call every frame!).
IMGUI_API void OpenPopup(ImGuiID id, ImGuiPopupFlags popup_flags = 0); // id overload to facilitate calling from nested stacks
IMGUI_API void OpenPopupOnItemClick(const char* str_id = NULL, ImGuiPopupFlags popup_flags = 1); // helper to open popup when clicked on last item. Default to ImGuiPopupFlags_MouseButtonRight == 1. (note: actually triggers on the mouse _released_ event to be consistent with popup behaviors)
IMGUI_API void CloseCurrentPopup(); // manually close the popup we have begin-ed into.
// Popups: open+begin combined functions helpers
// - Helpers to do OpenPopup+BeginPopup where the Open action is triggered by e.g. hovering an item and right-clicking.
// - They are convenient to easily create context menus, hence the name.
// - IMPORTANT: Notice that BeginPopupContextXXX takes ImGuiPopupFlags just like OpenPopup() and unlike BeginPopup(). For full consistency, we may add ImGuiWindowFlags to the BeginPopupContextXXX functions in the future.
// - IMPORTANT: Notice that we exceptionally default their flags to 1 (== ImGuiPopupFlags_MouseButtonRight) for backward compatibility with older API taking 'int mouse_button = 1' parameter, so if you add other flags remember to re-add the ImGuiPopupFlags_MouseButtonRight.
IMGUI_API bool BeginPopupContextItem(const char* str_id = NULL, ImGuiPopupFlags popup_flags = 1); // open+begin popup when clicked on last item. Use str_id==NULL to associate the popup to previous item. If you want to use that on a non-interactive item such as Text() you need to pass in an explicit ID here. read comments in .cpp!
IMGUI_API bool BeginPopupContextWindow(const char* str_id = NULL, ImGuiPopupFlags popup_flags = 1);// open+begin popup when clicked on current window.
IMGUI_API bool BeginPopupContextVoid(const char* str_id = NULL, ImGuiPopupFlags popup_flags = 1); // open+begin popup when clicked in void (where there are no windows).
// Popups: query functions
// - IsPopupOpen(): return true if the popup is open at the current BeginPopup() level of the popup stack.
// - IsPopupOpen() with ImGuiPopupFlags_AnyPopupId: return true if any popup is open at the current BeginPopup() level of the popup stack.
// - IsPopupOpen() with ImGuiPopupFlags_AnyPopupId + ImGuiPopupFlags_AnyPopupLevel: return true if any popup is open.
IMGUI_API bool IsPopupOpen(const char* str_id, ImGuiPopupFlags flags = 0); // return true if the popup is open.
// Tables
// - Full-featured replacement for old Columns API.
// - See Demo->Tables for demo code. See top of imgui_tables.cpp for general commentary.
// - See ImGuiTableFlags_ and ImGuiTableColumnFlags_ enums for a description of available flags.
// The typical call flow is:
// - 1. Call BeginTable(), early out if returning false.
// - 2. Optionally call TableSetupColumn() to submit column name/flags/defaults.
// - 3. Optionally call TableSetupScrollFreeze() to request scroll freezing of columns/rows.
// - 4. Optionally call TableHeadersRow() to submit a header row. Names are pulled from TableSetupColumn() data.
// - 5. Populate contents:
// - In most situations you can use TableNextRow() + TableSetColumnIndex(N) to start appending into a column.
// - If you are using tables as a sort of grid, where every column is holding the same type of contents,
// you may prefer using TableNextColumn() instead of TableNextRow() + TableSetColumnIndex().
// TableNextColumn() will automatically wrap-around into the next row if needed.
// - IMPORTANT: Comparatively to the old Columns() API, we need to call TableNextColumn() for the first column!
// - Summary of possible call flow:
// --------------------------------------------------------------------------------------------------------
// TableNextRow() -> TableSetColumnIndex(0) -> Text("Hello 0") -> TableSetColumnIndex(1) -> Text("Hello 1") // OK
// TableNextRow() -> TableNextColumn() -> Text("Hello 0") -> TableNextColumn() -> Text("Hello 1") // OK
// TableNextColumn() -> Text("Hello 0") -> TableNextColumn() -> Text("Hello 1") // OK: TableNextColumn() automatically gets to next row!
// TableNextRow() -> Text("Hello 0") // Not OK! Missing TableSetColumnIndex() or TableNextColumn()! Text will not appear!
// --------------------------------------------------------------------------------------------------------
// - 5. Call EndTable()
IMGUI_API bool BeginTable(const char* str_id, int column, ImGuiTableFlags flags = 0, const ImVec2& outer_size = ImVec2(0.0f, 0.0f), float inner_width = 0.0f);
IMGUI_API void EndTable(); // only call EndTable() if BeginTable() returns true!
IMGUI_API void TableNextRow(ImGuiTableRowFlags row_flags = 0, float min_row_height = 0.0f); // append into the first cell of a new row.
IMGUI_API bool TableNextColumn(); // append into the next column (or first column of next row if currently in last column). Return true when column is visible.
IMGUI_API bool TableSetColumnIndex(int column_n); // append into the specified column. Return true when column is visible.
// Tables: Headers & Columns declaration
// - Use TableSetupColumn() to specify label, resizing policy, default width/weight, id, various other flags etc.
// - Use TableHeadersRow() to create a header row and automatically submit a TableHeader() for each column.
// Headers are required to perform: reordering, sorting, and opening the context menu.
// The context menu can also be made available in columns body using ImGuiTableFlags_ContextMenuInBody.
// - You may manually submit headers using TableNextRow() + TableHeader() calls, but this is only useful in
// some advanced use cases (e.g. adding custom widgets in header row).
// - Use TableSetupScrollFreeze() to lock columns/rows so they stay visible when scrolled.
IMGUI_API void TableSetupColumn(const char* label, ImGuiTableColumnFlags flags = 0, float init_width_or_weight = 0.0f, ImGuiID user_id = 0);
IMGUI_API void TableSetupScrollFreeze(int cols, int rows); // lock columns/rows so they stay visible when scrolled.
IMGUI_API void TableHeadersRow(); // submit all headers cells based on data provided to TableSetupColumn() + submit context menu
IMGUI_API void TableHeader(const char* label); // submit one header cell manually (rarely used)
// Tables: Sorting & Miscellaneous functions
// - Sorting: call TableGetSortSpecs() to retrieve latest sort specs for the table. NULL when not sorting.
// When 'sort_specs->SpecsDirty == true' you should sort your data. It will be true when sorting specs have
// changed since last call, or the first time. Make sure to set 'SpecsDirty = false' after sorting,
// else you may wastefully sort your data every frame!
// - Functions args 'int column_n' treat the default value of -1 as the same as passing the current column index.
IMGUI_API ImGuiTableSortSpecs* TableGetSortSpecs(); // get latest sort specs for the table (NULL if not sorting). Lifetime: don't hold on this pointer over multiple frames or past any subsequent call to BeginTable().
IMGUI_API int TableGetColumnCount(); // return number of columns (value passed to BeginTable)
IMGUI_API int TableGetColumnIndex(); // return current column index.
IMGUI_API int TableGetRowIndex(); // return current row index.
IMGUI_API const char* TableGetColumnName(int column_n = -1); // return "" if column didn't have a name declared by TableSetupColumn(). Pass -1 to use current column.
IMGUI_API ImGuiTableColumnFlags TableGetColumnFlags(int column_n = -1); // return column flags so you can query their Enabled/Visible/Sorted/Hovered status flags. Pass -1 to use current column.
IMGUI_API void TableSetColumnEnabled(int column_n, bool v);// change user accessible enabled/disabled state of a column. Set to false to hide the column. User can use the context menu to change this themselves (right-click in headers, or right-click in columns body with ImGuiTableFlags_ContextMenuInBody)
IMGUI_API void TableSetBgColor(ImGuiTableBgTarget target, ImU32 color, int column_n = -1); // change the color of a cell, row, or column. See ImGuiTableBgTarget_ flags for details.
// Legacy Columns API (prefer using Tables!)
// - You can also use SameLine(pos_x) to mimic simplified columns.
IMGUI_API void Columns(int count = 1, const char* id = NULL, bool border = true);
IMGUI_API void NextColumn(); // next column, defaults to current row or next row if the current row is finished
IMGUI_API int GetColumnIndex(); // get current column index
IMGUI_API float GetColumnWidth(int column_index = -1); // get column width (in pixels). pass -1 to use current column
IMGUI_API void SetColumnWidth(int column_index, float width); // set column width (in pixels). pass -1 to use current column
IMGUI_API float GetColumnOffset(int column_index = -1); // get position of column line (in pixels, from the left side of the contents region). pass -1 to use current column, otherwise 0..GetColumnsCount() inclusive. column 0 is typically 0.0f
IMGUI_API void SetColumnOffset(int column_index, float offset_x); // set position of column line (in pixels, from the left side of the contents region). pass -1 to use current column
IMGUI_API int GetColumnsCount();
// Tab Bars, Tabs
// - Note: Tabs are automatically created by the docking system (when in 'docking' branch). Use this to create tab bars/tabs yourself.
IMGUI_API bool BeginTabBar(const char* str_id, ImGuiTabBarFlags flags = 0); // create and append into a TabBar
IMGUI_API void EndTabBar(); // only call EndTabBar() if BeginTabBar() returns true!
IMGUI_API bool BeginTabItem(const char* label, bool* p_open = NULL, ImGuiTabItemFlags flags = 0); // create a Tab. Returns true if the Tab is selected.
IMGUI_API void EndTabItem(); // only call EndTabItem() if BeginTabItem() returns true!
IMGUI_API bool TabItemButton(const char* label, ImGuiTabItemFlags flags = 0); // create a Tab behaving like a button. return true when clicked. cannot be selected in the tab bar.
IMGUI_API void SetTabItemClosed(const char* tab_or_docked_window_label); // notify TabBar or Docking system of a closed tab/window ahead (useful to reduce visual flicker on reorderable tab bars). For tab-bar: call after BeginTabBar() and before Tab submissions. Otherwise call with a window name.
// Docking
// [BETA API] Enable with io.ConfigFlags |= ImGuiConfigFlags_DockingEnable.
// Note: You can use most Docking facilities without calling any API. You DO NOT need to call DockSpace() to use Docking!
// - Drag from window title bar or their tab to dock/undock. Hold SHIFT to disable docking/undocking.
// - Drag from window menu button (upper-left button) to undock an entire node (all windows).
// - When io.ConfigDockingWithShift == true, you instead need to hold SHIFT to _enable_ docking/undocking.
// About dockspaces:
// - Use DockSpace() to create an explicit dock node _within_ an existing window. See Docking demo for details.
// - Use DockSpaceOverViewport() to create an explicit dock node covering the screen or a specific viewport.
// This is often used with ImGuiDockNodeFlags_PassthruCentralNode.
// - Important: Dockspaces need to be submitted _before_ any window they can host. Submit it early in your frame!
// - Important: Dockspaces need to be kept alive if hidden, otherwise windows docked into it will be undocked.
// e.g. if you have multiple tabs with a dockspace inside each tab: submit the non-visible dockspaces with ImGuiDockNodeFlags_KeepAliveOnly.
IMGUI_API ImGuiID DockSpace(ImGuiID id, const ImVec2& size = ImVec2(0, 0), ImGuiDockNodeFlags flags = 0, const ImGuiWindowClass* window_class = NULL);
IMGUI_API ImGuiID DockSpaceOverViewport(const ImGuiViewport* viewport = NULL, ImGuiDockNodeFlags flags = 0, const ImGuiWindowClass* window_class = NULL);
IMGUI_API void SetNextWindowDockID(ImGuiID dock_id, ImGuiCond cond = 0); // set next window dock id
IMGUI_API void SetNextWindowClass(const ImGuiWindowClass* window_class); // set next window class (control docking compatibility + provide hints to platform backend via custom viewport flags and platform parent/child relationship)
IMGUI_API ImGuiID GetWindowDockID();
IMGUI_API bool IsWindowDocked(); // is current window docked into another window?
// Logging/Capture
// - All text output from the interface can be captured into tty/file/clipboard. By default, tree nodes are automatically opened during logging.
IMGUI_API void LogToTTY(int auto_open_depth = -1); // start logging to tty (stdout)
IMGUI_API void LogToFile(int auto_open_depth = -1, const char* filename = NULL); // start logging to file
IMGUI_API void LogToClipboard(int auto_open_depth = -1); // start logging to OS clipboard
IMGUI_API void LogFinish(); // stop logging (close file, etc.)
IMGUI_API void LogButtons(); // helper to display buttons for logging to tty/file/clipboard
IMGUI_API void LogText(const char* fmt, ...) IM_FMTARGS(1); // pass text data straight to log (without being displayed)
IMGUI_API void LogTextV(const char* fmt, va_list args) IM_FMTLIST(1);
// Drag and Drop
// - On source items, call BeginDragDropSource(), if it returns true also call SetDragDropPayload() + EndDragDropSource().
// - On target candidates, call BeginDragDropTarget(), if it returns true also call AcceptDragDropPayload() + EndDragDropTarget().
// - If you stop calling BeginDragDropSource() the payload is preserved however it won't have a preview tooltip (we currently display a fallback "..." tooltip, see #1725)
// - An item can be both drag source and drop target.
IMGUI_API bool BeginDragDropSource(ImGuiDragDropFlags flags = 0); // call after submitting an item which may be dragged. when this return true, you can call SetDragDropPayload() + EndDragDropSource()
IMGUI_API bool SetDragDropPayload(const char* type, const void* data, size_t sz, ImGuiCond cond = 0); // type is a user defined string of maximum 32 characters. Strings starting with '_' are reserved for dear imgui internal types. Data is copied and held by imgui. Return true when payload has been accepted.
IMGUI_API void EndDragDropSource(); // only call EndDragDropSource() if BeginDragDropSource() returns true!
IMGUI_API bool BeginDragDropTarget(); // call after submitting an item that may receive a payload. If this returns true, you can call AcceptDragDropPayload() + EndDragDropTarget()
IMGUI_API const ImGuiPayload* AcceptDragDropPayload(const char* type, ImGuiDragDropFlags flags = 0); // accept contents of a given type. If ImGuiDragDropFlags_AcceptBeforeDelivery is set you can peek into the payload before the mouse button is released.
IMGUI_API void EndDragDropTarget(); // only call EndDragDropTarget() if BeginDragDropTarget() returns true!
IMGUI_API const ImGuiPayload* GetDragDropPayload(); // peek directly into the current payload from anywhere. may return NULL. use ImGuiPayload::IsDataType() to test for the payload type.
// Disabling [BETA API]
// - Disable all user interactions and dim items visuals (applying style.DisabledAlpha over current colors)
// - Those can be nested but it cannot be used to enable an already disabled section (a single BeginDisabled(true) in the stack is enough to keep everything disabled)
// - BeginDisabled(false) essentially does nothing useful but is provided to facilitate use of boolean expressions. If you can avoid calling BeginDisabled(False)/EndDisabled() best to avoid it.
IMGUI_API void BeginDisabled(bool disabled = true);
IMGUI_API void EndDisabled();
// Clipping
// - Mouse hovering is affected by ImGui::PushClipRect() calls, unlike direct calls to ImDrawList::PushClipRect() which are render only.
IMGUI_API void PushClipRect(const ImVec2& clip_rect_min, const ImVec2& clip_rect_max, bool intersect_with_current_clip_rect);
IMGUI_API void PopClipRect();
// Focus, Activation
// - Prefer using "SetItemDefaultFocus()" over "if (IsWindowAppearing()) SetScrollHereY()" when applicable to signify "this is the default item"
IMGUI_API void SetItemDefaultFocus(); // make last item the default focused item of a window.
IMGUI_API void SetKeyboardFocusHere(int offset = 0); // focus keyboard on the next widget. Use positive 'offset' to access sub components of a multiple component widget. Use -1 to access previous widget.
// Item/Widgets Utilities and Query Functions
// - Most of the functions are referring to the previous Item that has been submitted.
// - See Demo Window under "Widgets->Querying Status" for an interactive visualization of most of those functions.
IMGUI_API bool IsItemHovered(ImGuiHoveredFlags flags = 0); // is the last item hovered? (and usable, aka not blocked by a popup, etc.). See ImGuiHoveredFlags for more options.
IMGUI_API bool IsItemActive(); // is the last item active? (e.g. button being held, text field being edited. This will continuously return true while holding mouse button on an item. Items that don't interact will always return false)
IMGUI_API bool IsItemFocused(); // is the last item focused for keyboard/gamepad navigation?
IMGUI_API bool IsItemClicked(ImGuiMouseButton mouse_button = 0); // is the last item hovered and mouse clicked on? (**) == IsMouseClicked(mouse_button) && IsItemHovered()Important. (**) this is NOT equivalent to the behavior of e.g. Button(). Read comments in function definition.
IMGUI_API bool IsItemVisible(); // is the last item visible? (items may be out of sight because of clipping/scrolling)
IMGUI_API bool IsItemEdited(); // did the last item modify its underlying value this frame? or was pressed? This is generally the same as the "bool" return value of many widgets.
IMGUI_API bool IsItemActivated(); // was the last item just made active (item was previously inactive).
IMGUI_API bool IsItemDeactivated(); // was the last item just made inactive (item was previously active). Useful for Undo/Redo patterns with widgets that require continuous editing.
IMGUI_API bool IsItemDeactivatedAfterEdit(); // was the last item just made inactive and made a value change when it was active? (e.g. Slider/Drag moved). Useful for Undo/Redo patterns with widgets that require continuous editing. Note that you may get false positives (some widgets such as Combo()/ListBox()/Selectable() will return true even when clicking an already selected item).
IMGUI_API bool IsItemToggledOpen(); // was the last item open state toggled? set by TreeNode().
IMGUI_API bool IsAnyItemHovered(); // is any item hovered?
IMGUI_API bool IsAnyItemActive(); // is any item active?
IMGUI_API bool IsAnyItemFocused(); // is any item focused?
IMGUI_API ImGuiID GetItemID(); // get ID of last item (~~ often same ImGui::GetID(label) beforehand)
IMGUI_API ImVec2 GetItemRectMin(); // get upper-left bounding rectangle of the last item (screen space)
IMGUI_API ImVec2 GetItemRectMax(); // get lower-right bounding rectangle of the last item (screen space)
IMGUI_API ImVec2 GetItemRectSize(); // get size of last item
IMGUI_API void SetItemAllowOverlap(); // allow last item to be overlapped by a subsequent item. sometimes useful with invisible buttons, selectables, etc. to catch unused area.
// Viewports
// - Currently represents the Platform Window created by the application which is hosting our Dear ImGui windows.
// - In 'docking' branch with multi-viewport enabled, we extend this concept to have multiple active viewports.
// - In the future we will extend this concept further to also represent Platform Monitor and support a "no main platform window" operation mode.
IMGUI_API ImGuiViewport* GetMainViewport(); // return primary/default viewport. This can never be NULL.
// Background/Foreground Draw Lists
IMGUI_API ImDrawList* GetBackgroundDrawList(); // get background draw list for the viewport associated to the current window. this draw list will be the first rendering one. Useful to quickly draw shapes/text behind dear imgui contents.
IMGUI_API ImDrawList* GetForegroundDrawList(); // get foreground draw list for the viewport associated to the current window. this draw list will be the last rendered one. Useful to quickly draw shapes/text over dear imgui contents.
IMGUI_API ImDrawList* GetBackgroundDrawList(ImGuiViewport* viewport); // get background draw list for the given viewport. this draw list will be the first rendering one. Useful to quickly draw shapes/text behind dear imgui contents.
IMGUI_API ImDrawList* GetForegroundDrawList(ImGuiViewport* viewport); // get foreground draw list for the given viewport. this draw list will be the last rendered one. Useful to quickly draw shapes/text over dear imgui contents.
// Miscellaneous Utilities
IMGUI_API bool IsRectVisible(const ImVec2& size); // test if rectangle (of given size, starting from cursor position) is visible / not clipped.
IMGUI_API bool IsRectVisible(const ImVec2& rect_min, const ImVec2& rect_max); // test if rectangle (in screen space) is visible / not clipped. to perform coarse clipping on user's side.
IMGUI_API double GetTime(); // get global imgui time. incremented by io.DeltaTime every frame.
IMGUI_API int GetFrameCount(); // get global imgui frame count. incremented by 1 every frame.
IMGUI_API ImDrawListSharedData* GetDrawListSharedData(); // you may use this when creating your own ImDrawList instances.
IMGUI_API const char* GetStyleColorName(ImGuiCol idx); // get a string corresponding to the enum value (for display, saving, etc.).
IMGUI_API void SetStateStorage(ImGuiStorage* storage); // replace current window storage with our own (if you want to manipulate it yourself, typically clear subsection of it)
IMGUI_API ImGuiStorage* GetStateStorage();
IMGUI_API bool BeginChildFrame(ImGuiID id, const ImVec2& size, ImGuiWindowFlags flags = 0); // helper to create a child window / scrolling region that looks like a normal widget frame
IMGUI_API void EndChildFrame(); // always call EndChildFrame() regardless of BeginChildFrame() return values (which indicates a collapsed/clipped window)
// Text Utilities
IMGUI_API ImVec2 CalcTextSize(const char* text, const char* text_end = NULL, bool hide_text_after_double_hash = false, float wrap_width = -1.0f);
// Color Utilities
IMGUI_API ImVec4 ColorConvertU32ToFloat4(ImU32 in);
IMGUI_API ImU32 ColorConvertFloat4ToU32(const ImVec4& in);
IMGUI_API void ColorConvertRGBtoHSV(float r, float g, float b, float& out_h, float& out_s, float& out_v);
IMGUI_API void ColorConvertHSVtoRGB(float h, float s, float v, float& out_r, float& out_g, float& out_b);
// Inputs Utilities: Keyboard/Mouse/Gamepad
// - the ImGuiKey enum contains all possible keyboard, mouse and gamepad inputs (e.g. ImGuiKey_A, ImGuiKey_MouseLeft, ImGuiKey_GamepadDpadUp...).
// - before v1.87, we used ImGuiKey to carry native/user indices as defined by each backends. About use of those legacy ImGuiKey values:
// - without IMGUI_DISABLE_OBSOLETE_KEYIO (legacy support): you can still use your legacy native/user indices (< 512) according to how your backend/engine stored them in io.KeysDown[], but need to cast them to ImGuiKey.
// - with IMGUI_DISABLE_OBSOLETE_KEYIO (this is the way forward): any use of ImGuiKey will assert with key < 512. GetKeyIndex() is pass-through and therefore deprecated (gone if IMGUI_DISABLE_OBSOLETE_KEYIO is defined).
IMGUI_API bool IsKeyDown(ImGuiKey key); // is key being held.
IMGUI_API bool IsKeyPressed(ImGuiKey key, bool repeat = true); // was key pressed (went from !Down to Down)? if repeat=true, uses io.KeyRepeatDelay / KeyRepeatRate
IMGUI_API bool IsKeyReleased(ImGuiKey key); // was key released (went from Down to !Down)?
IMGUI_API int GetKeyPressedAmount(ImGuiKey key, float repeat_delay, float rate); // uses provided repeat rate/delay. return a count, most often 0 or 1 but might be >1 if RepeatRate is small enough that DeltaTime > RepeatRate
IMGUI_API const char* GetKeyName(ImGuiKey key); // [DEBUG] returns English name of the key. Those names a provided for debugging purpose and are not meant to be saved persistently not compared.
IMGUI_API void SetNextFrameWantCaptureKeyboard(bool want_capture_keyboard); // Override io.WantCaptureKeyboard flag next frame (said flag is left for your application to handle, typically when true it instructs your app to ignore inputs). e.g. force capture keyboard when your widget is being hovered. This is equivalent to setting "io.WantCaptureKeyboard = want_capture_keyboard"; after the next NewFrame() call.
// Inputs Utilities: Mouse specific
// - To refer to a mouse button, you may use named enums in your code e.g. ImGuiMouseButton_Left, ImGuiMouseButton_Right.
// - You can also use regular integer: it is forever guaranteed that 0=Left, 1=Right, 2=Middle.
// - Dragging operations are only reported after mouse has moved a certain distance away from the initial clicking position (see 'lock_threshold' and 'io.MouseDraggingThreshold')
IMGUI_API bool IsMouseDown(ImGuiMouseButton button); // is mouse button held?
IMGUI_API bool IsMouseClicked(ImGuiMouseButton button, bool repeat = false); // did mouse button clicked? (went from !Down to Down). Same as GetMouseClickedCount() == 1.
IMGUI_API bool IsMouseReleased(ImGuiMouseButton button); // did mouse button released? (went from Down to !Down)
IMGUI_API bool IsMouseDoubleClicked(ImGuiMouseButton button); // did mouse button double-clicked? Same as GetMouseClickedCount() == 2. (note that a double-click will also report IsMouseClicked() == true)
IMGUI_API int GetMouseClickedCount(ImGuiMouseButton button); // return the number of successive mouse-clicks at the time where a click happen (otherwise 0).
IMGUI_API bool IsMouseHoveringRect(const ImVec2& r_min, const ImVec2& r_max, bool clip = true);// is mouse hovering given bounding rect (in screen space). clipped by current clipping settings, but disregarding of other consideration of focus/window ordering/popup-block.
IMGUI_API bool IsMousePosValid(const ImVec2* mouse_pos = NULL); // by convention we use (-FLT_MAX,-FLT_MAX) to denote that there is no mouse available
IMGUI_API bool IsAnyMouseDown(); // [WILL OBSOLETE] is any mouse button held? This was designed for backends, but prefer having backend maintain a mask of held mouse buttons, because upcoming input queue system will make this invalid.
IMGUI_API ImVec2 GetMousePos(); // shortcut to ImGui::GetIO().MousePos provided by user, to be consistent with other calls
IMGUI_API ImVec2 GetMousePosOnOpeningCurrentPopup(); // retrieve mouse position at the time of opening popup we have BeginPopup() into (helper to avoid user backing that value themselves)
IMGUI_API bool IsMouseDragging(ImGuiMouseButton button, float lock_threshold = -1.0f); // is mouse dragging? (if lock_threshold < -1.0f, uses io.MouseDraggingThreshold)
IMGUI_API ImVec2 GetMouseDragDelta(ImGuiMouseButton button = 0, float lock_threshold = -1.0f); // return the delta from the initial clicking position while the mouse button is pressed or was just released. This is locked and return 0.0f until the mouse moves past a distance threshold at least once (if lock_threshold < -1.0f, uses io.MouseDraggingThreshold)
IMGUI_API void ResetMouseDragDelta(ImGuiMouseButton button = 0); //
IMGUI_API ImGuiMouseCursor GetMouseCursor(); // get desired mouse cursor shape. Important: reset in ImGui::NewFrame(), this is updated during the frame. valid before Render(). If you use software rendering by setting io.MouseDrawCursor ImGui will render those for you
IMGUI_API void SetMouseCursor(ImGuiMouseCursor cursor_type); // set desired mouse cursor shape
IMGUI_API void SetNextFrameWantCaptureMouse(bool want_capture_mouse); // Override io.WantCaptureMouse flag next frame (said flag is left for your application to handle, typical when true it instucts your app to ignore inputs). This is equivalent to setting "io.WantCaptureMouse = want_capture_mouse;" after the next NewFrame() call.
// Clipboard Utilities
// - Also see the LogToClipboard() function to capture GUI into clipboard, or easily output text data to the clipboard.
IMGUI_API const char* GetClipboardText();
IMGUI_API void SetClipboardText(const char* text);
// Settings/.Ini Utilities
// - The disk functions are automatically called if io.IniFilename != NULL (default is "imgui.ini").
// - Set io.IniFilename to NULL to load/save manually. Read io.WantSaveIniSettings description about handling .ini saving manually.
// - Important: default value "imgui.ini" is relative to current working dir! Most apps will want to lock this to an absolute path (e.g. same path as executables).
IMGUI_API void LoadIniSettingsFromDisk(const char* ini_filename); // call after CreateContext() and before the first call to NewFrame(). NewFrame() automatically calls LoadIniSettingsFromDisk(io.IniFilename).
IMGUI_API void LoadIniSettingsFromMemory(const char* ini_data, size_t ini_size=0); // call after CreateContext() and before the first call to NewFrame() to provide .ini data from your own data source.
IMGUI_API void SaveIniSettingsToDisk(const char* ini_filename); // this is automatically called (if io.IniFilename is not empty) a few seconds after any modification that should be reflected in the .ini file (and also by DestroyContext).
IMGUI_API const char* SaveIniSettingsToMemory(size_t* out_ini_size = NULL); // return a zero-terminated string with the .ini data which you can save by your own mean. call when io.WantSaveIniSettings is set, then save data by your own mean and clear io.WantSaveIniSettings.
// Debug Utilities
IMGUI_API void DebugTextEncoding(const char* text);
IMGUI_API bool DebugCheckVersionAndDataLayout(const char* version_str, size_t sz_io, size_t sz_style, size_t sz_vec2, size_t sz_vec4, size_t sz_drawvert, size_t sz_drawidx); // This is called by IMGUI_CHECKVERSION() macro.
// Memory Allocators
// - Those functions are not reliant on the current context.
// - DLL users: heaps and globals are not shared across DLL boundaries! You will need to call SetCurrentContext() + SetAllocatorFunctions()
// for each static/DLL boundary you are calling from. Read "Context and Memory Allocators" section of imgui.cpp for more details.
IMGUI_API void SetAllocatorFunctions(ImGuiMemAllocFunc alloc_func, ImGuiMemFreeFunc free_func, void* user_data = NULL);
IMGUI_API void GetAllocatorFunctions(ImGuiMemAllocFunc* p_alloc_func, ImGuiMemFreeFunc* p_free_func, void** p_user_data);
IMGUI_API void* MemAlloc(size_t size);
IMGUI_API void MemFree(void* ptr);
// (Optional) Platform/OS interface for multi-viewport support
// Read comments around the ImGuiPlatformIO structure for more details.
// Note: You may use GetWindowViewport() to get the current viewport of the current window.
IMGUI_API ImGuiPlatformIO& GetPlatformIO(); // platform/renderer functions, for backend to setup + viewports list.
IMGUI_API void UpdatePlatformWindows(); // call in main loop. will call CreateWindow/ResizeWindow/etc. platform functions for each secondary viewport, and DestroyWindow for each inactive viewport.
IMGUI_API void RenderPlatformWindowsDefault(void* platform_render_arg = NULL, void* renderer_render_arg = NULL); // call in main loop. will call RenderWindow/SwapBuffers platform functions for each secondary viewport which doesn't have the ImGuiViewportFlags_Minimized flag set. May be reimplemented by user for custom rendering needs.
IMGUI_API void DestroyPlatformWindows(); // call DestroyWindow platform functions for all viewports. call from backend Shutdown() if you need to close platform windows before imgui shutdown. otherwise will be called by DestroyContext().
IMGUI_API ImGuiViewport* FindViewportByID(ImGuiID id); // this is a helper for backends.
IMGUI_API ImGuiViewport* FindViewportByPlatformHandle(void* platform_handle); // this is a helper for backends. the type platform_handle is decided by the backend (e.g. HWND, MyWindow*, GLFWwindow* etc.)
} // namespace ImGui
//-----------------------------------------------------------------------------
// [SECTION] Flags & Enumerations
//-----------------------------------------------------------------------------
// Flags for ImGui::Begin()
// (Those are per-window flags. There are shared flags in ImGuiIO: io.ConfigWindowsResizeFromEdges and io.ConfigWindowsMoveFromTitleBarOnly)
enum ImGuiWindowFlags_
{
ImGuiWindowFlags_None = 0,
ImGuiWindowFlags_NoTitleBar = 1 << 0, // Disable title-bar
ImGuiWindowFlags_NoResize = 1 << 1, // Disable user resizing with the lower-right grip
ImGuiWindowFlags_NoMove = 1 << 2, // Disable user moving the window
ImGuiWindowFlags_NoScrollbar = 1 << 3, // Disable scrollbars (window can still scroll with mouse or programmatically)
ImGuiWindowFlags_NoScrollWithMouse = 1 << 4, // Disable user vertically scrolling with mouse wheel. On child window, mouse wheel will be forwarded to the parent unless NoScrollbar is also set.
ImGuiWindowFlags_NoCollapse = 1 << 5, // Disable user collapsing window by double-clicking on it. Also referred to as Window Menu Button (e.g. within a docking node).
ImGuiWindowFlags_AlwaysAutoResize = 1 << 6, // Resize every window to its content every frame
ImGuiWindowFlags_NoBackground = 1 << 7, // Disable drawing background color (WindowBg, etc.) and outside border. Similar as using SetNextWindowBgAlpha(0.0f).
ImGuiWindowFlags_NoSavedSettings = 1 << 8, // Never load/save settings in .ini file
ImGuiWindowFlags_NoMouseInputs = 1 << 9, // Disable catching mouse, hovering test with pass through.
ImGuiWindowFlags_MenuBar = 1 << 10, // Has a menu-bar
ImGuiWindowFlags_HorizontalScrollbar = 1 << 11, // Allow horizontal scrollbar to appear (off by default). You may use SetNextWindowContentSize(ImVec2(width,0.0f)); prior to calling Begin() to specify width. Read code in imgui_demo in the "Horizontal Scrolling" section.
ImGuiWindowFlags_NoFocusOnAppearing = 1 << 12, // Disable taking focus when transitioning from hidden to visible state
ImGuiWindowFlags_NoBringToFrontOnFocus = 1 << 13, // Disable bringing window to front when taking focus (e.g. clicking on it or programmatically giving it focus)
ImGuiWindowFlags_AlwaysVerticalScrollbar= 1 << 14, // Always show vertical scrollbar (even if ContentSize.y < Size.y)
ImGuiWindowFlags_AlwaysHorizontalScrollbar=1<< 15, // Always show horizontal scrollbar (even if ContentSize.x < Size.x)
ImGuiWindowFlags_AlwaysUseWindowPadding = 1 << 16, // Ensure child windows without border uses style.WindowPadding (ignored by default for non-bordered child windows, because more convenient)
ImGuiWindowFlags_NoNavInputs = 1 << 18, // No gamepad/keyboard navigation within the window
ImGuiWindowFlags_NoNavFocus = 1 << 19, // No focusing toward this window with gamepad/keyboard navigation (e.g. skipped by CTRL+TAB)
ImGuiWindowFlags_UnsavedDocument = 1 << 20, // Display a dot next to the title. When used in a tab/docking context, tab is selected when clicking the X + closure is not assumed (will wait for user to stop submitting the tab). Otherwise closure is assumed when pressing the X, so if you keep submitting the tab may reappear at end of tab bar.
ImGuiWindowFlags_NoDocking = 1 << 21, // Disable docking of this window
ImGuiWindowFlags_NoNav = ImGuiWindowFlags_NoNavInputs | ImGuiWindowFlags_NoNavFocus,
ImGuiWindowFlags_NoDecoration = ImGuiWindowFlags_NoTitleBar | ImGuiWindowFlags_NoResize | ImGuiWindowFlags_NoScrollbar | ImGuiWindowFlags_NoCollapse,
ImGuiWindowFlags_NoInputs = ImGuiWindowFlags_NoMouseInputs | ImGuiWindowFlags_NoNavInputs | ImGuiWindowFlags_NoNavFocus,
// [Internal]
ImGuiWindowFlags_NavFlattened = 1 << 23, // [BETA] On child window: allow gamepad/keyboard navigation to cross over parent border to this child or between sibling child windows.
ImGuiWindowFlags_ChildWindow = 1 << 24, // Don't use! For internal use by BeginChild()
ImGuiWindowFlags_Tooltip = 1 << 25, // Don't use! For internal use by BeginTooltip()
ImGuiWindowFlags_Popup = 1 << 26, // Don't use! For internal use by BeginPopup()
ImGuiWindowFlags_Modal = 1 << 27, // Don't use! For internal use by BeginPopupModal()
ImGuiWindowFlags_ChildMenu = 1 << 28, // Don't use! For internal use by BeginMenu()
ImGuiWindowFlags_DockNodeHost = 1 << 29, // Don't use! For internal use by Begin()/NewFrame()
};
// Flags for ImGui::InputText()
// (Those are per-item flags. There are shared flags in ImGuiIO: io.ConfigInputTextCursorBlink and io.ConfigInputTextEnterKeepActive)
enum ImGuiInputTextFlags_
{
ImGuiInputTextFlags_None = 0,
ImGuiInputTextFlags_CharsDecimal = 1 << 0, // Allow 0123456789.+-*/
ImGuiInputTextFlags_CharsHexadecimal = 1 << 1, // Allow 0123456789ABCDEFabcdef
ImGuiInputTextFlags_CharsUppercase = 1 << 2, // Turn a..z into A..Z
ImGuiInputTextFlags_CharsNoBlank = 1 << 3, // Filter out spaces, tabs
ImGuiInputTextFlags_AutoSelectAll = 1 << 4, // Select entire text when first taking mouse focus
ImGuiInputTextFlags_EnterReturnsTrue = 1 << 5, // Return 'true' when Enter is pressed (as opposed to every time the value was modified). Consider looking at the IsItemDeactivatedAfterEdit() function.
ImGuiInputTextFlags_CallbackCompletion = 1 << 6, // Callback on pressing TAB (for completion handling)
ImGuiInputTextFlags_CallbackHistory = 1 << 7, // Callback on pressing Up/Down arrows (for history handling)
ImGuiInputTextFlags_CallbackAlways = 1 << 8, // Callback on each iteration. User code may query cursor position, modify text buffer.
ImGuiInputTextFlags_CallbackCharFilter = 1 << 9, // Callback on character inputs to replace or discard them. Modify 'EventChar' to replace or discard, or return 1 in callback to discard.
ImGuiInputTextFlags_AllowTabInput = 1 << 10, // Pressing TAB input a '\t' character into the text field
ImGuiInputTextFlags_CtrlEnterForNewLine = 1 << 11, // In multi-line mode, unfocus with Enter, add new line with Ctrl+Enter (default is opposite: unfocus with Ctrl+Enter, add line with Enter).
ImGuiInputTextFlags_NoHorizontalScroll = 1 << 12, // Disable following the cursor horizontally
ImGuiInputTextFlags_AlwaysOverwrite = 1 << 13, // Overwrite mode
ImGuiInputTextFlags_ReadOnly = 1 << 14, // Read-only mode
ImGuiInputTextFlags_Password = 1 << 15, // Password mode, display all characters as '*'
ImGuiInputTextFlags_NoUndoRedo = 1 << 16, // Disable undo/redo. Note that input text owns the text data while active, if you want to provide your own undo/redo stack you need e.g. to call ClearActiveID().
ImGuiInputTextFlags_CharsScientific = 1 << 17, // Allow 0123456789.+-*/eE (Scientific notation input)
ImGuiInputTextFlags_CallbackResize = 1 << 18, // Callback on buffer capacity changes request (beyond 'buf_size' parameter value), allowing the string to grow. Notify when the string wants to be resized (for string types which hold a cache of their Size). You will be provided a new BufSize in the callback and NEED to honor it. (see misc/cpp/imgui_stdlib.h for an example of using this)
ImGuiInputTextFlags_CallbackEdit = 1 << 19, // Callback on any edit (note that InputText() already returns true on edit, the callback is useful mainly to manipulate the underlying buffer while focus is active)
ImGuiInputTextFlags_EscapeClearsAll = 1 << 20, // Escape key clears content if not empty, and deactivate otherwise (contrast to default behavior of Escape to revert)
// Obsolete names
//ImGuiInputTextFlags_AlwaysInsertMode = ImGuiInputTextFlags_AlwaysOverwrite // [renamed in 1.82] name was not matching behavior
};
// Flags for ImGui::TreeNodeEx(), ImGui::CollapsingHeader*()
enum ImGuiTreeNodeFlags_
{
ImGuiTreeNodeFlags_None = 0,
ImGuiTreeNodeFlags_Selected = 1 << 0, // Draw as selected
ImGuiTreeNodeFlags_Framed = 1 << 1, // Draw frame with background (e.g. for CollapsingHeader)
ImGuiTreeNodeFlags_AllowItemOverlap = 1 << 2, // Hit testing to allow subsequent widgets to overlap this one
ImGuiTreeNodeFlags_NoTreePushOnOpen = 1 << 3, // Don't do a TreePush() when open (e.g. for CollapsingHeader) = no extra indent nor pushing on ID stack
ImGuiTreeNodeFlags_NoAutoOpenOnLog = 1 << 4, // Don't automatically and temporarily open node when Logging is active (by default logging will automatically open tree nodes)
ImGuiTreeNodeFlags_DefaultOpen = 1 << 5, // Default node to be open
ImGuiTreeNodeFlags_OpenOnDoubleClick = 1 << 6, // Need double-click to open node
ImGuiTreeNodeFlags_OpenOnArrow = 1 << 7, // Only open when clicking on the arrow part. If ImGuiTreeNodeFlags_OpenOnDoubleClick is also set, single-click arrow or double-click all box to open.
ImGuiTreeNodeFlags_Leaf = 1 << 8, // No collapsing, no arrow (use as a convenience for leaf nodes).
ImGuiTreeNodeFlags_Bullet = 1 << 9, // Display a bullet instead of arrow
ImGuiTreeNodeFlags_FramePadding = 1 << 10, // Use FramePadding (even for an unframed text node) to vertically align text baseline to regular widget height. Equivalent to calling AlignTextToFramePadding().
ImGuiTreeNodeFlags_SpanAvailWidth = 1 << 11, // Extend hit box to the right-most edge, even if not framed. This is not the default in order to allow adding other items on the same line. In the future we may refactor the hit system to be front-to-back, allowing natural overlaps and then this can become the default.
ImGuiTreeNodeFlags_SpanFullWidth = 1 << 12, // Extend hit box to the left-most and right-most edges (bypass the indented area).
ImGuiTreeNodeFlags_NavLeftJumpsBackHere = 1 << 13, // (WIP) Nav: left direction may move to this TreeNode() from any of its child (items submitted between TreeNode and TreePop)
//ImGuiTreeNodeFlags_NoScrollOnOpen = 1 << 14, // FIXME: TODO: Disable automatic scroll on TreePop() if node got just open and contents is not visible
ImGuiTreeNodeFlags_CollapsingHeader = ImGuiTreeNodeFlags_Framed | ImGuiTreeNodeFlags_NoTreePushOnOpen | ImGuiTreeNodeFlags_NoAutoOpenOnLog,
};
// Flags for OpenPopup*(), BeginPopupContext*(), IsPopupOpen() functions.
// - To be backward compatible with older API which took an 'int mouse_button = 1' argument, we need to treat
// small flags values as a mouse button index, so we encode the mouse button in the first few bits of the flags.
// It is therefore guaranteed to be legal to pass a mouse button index in ImGuiPopupFlags.
// - For the same reason, we exceptionally default the ImGuiPopupFlags argument of BeginPopupContextXXX functions to 1 instead of 0.
// IMPORTANT: because the default parameter is 1 (==ImGuiPopupFlags_MouseButtonRight), if you rely on the default parameter
// and want to use another flag, you need to pass in the ImGuiPopupFlags_MouseButtonRight flag explicitly.
// - Multiple buttons currently cannot be combined/or-ed in those functions (we could allow it later).
enum ImGuiPopupFlags_
{
ImGuiPopupFlags_None = 0,
ImGuiPopupFlags_MouseButtonLeft = 0, // For BeginPopupContext*(): open on Left Mouse release. Guaranteed to always be == 0 (same as ImGuiMouseButton_Left)
ImGuiPopupFlags_MouseButtonRight = 1, // For BeginPopupContext*(): open on Right Mouse release. Guaranteed to always be == 1 (same as ImGuiMouseButton_Right)
ImGuiPopupFlags_MouseButtonMiddle = 2, // For BeginPopupContext*(): open on Middle Mouse release. Guaranteed to always be == 2 (same as ImGuiMouseButton_Middle)
ImGuiPopupFlags_MouseButtonMask_ = 0x1F,
ImGuiPopupFlags_MouseButtonDefault_ = 1,
ImGuiPopupFlags_NoOpenOverExistingPopup = 1 << 5, // For OpenPopup*(), BeginPopupContext*(): don't open if there's already a popup at the same level of the popup stack
ImGuiPopupFlags_NoOpenOverItems = 1 << 6, // For BeginPopupContextWindow(): don't return true when hovering items, only when hovering empty space
ImGuiPopupFlags_AnyPopupId = 1 << 7, // For IsPopupOpen(): ignore the ImGuiID parameter and test for any popup.
ImGuiPopupFlags_AnyPopupLevel = 1 << 8, // For IsPopupOpen(): search/test at any level of the popup stack (default test in the current level)
ImGuiPopupFlags_AnyPopup = ImGuiPopupFlags_AnyPopupId | ImGuiPopupFlags_AnyPopupLevel,
};
// Flags for ImGui::Selectable()
enum ImGuiSelectableFlags_
{
ImGuiSelectableFlags_None = 0,
ImGuiSelectableFlags_DontClosePopups = 1 << 0, // Clicking this doesn't close parent popup window
ImGuiSelectableFlags_SpanAllColumns = 1 << 1, // Selectable frame can span all columns (text will still fit in current column)
ImGuiSelectableFlags_AllowDoubleClick = 1 << 2, // Generate press events on double clicks too
ImGuiSelectableFlags_Disabled = 1 << 3, // Cannot be selected, display grayed out text
ImGuiSelectableFlags_AllowItemOverlap = 1 << 4, // (WIP) Hit testing to allow subsequent widgets to overlap this one
};
// Flags for ImGui::BeginCombo()
enum ImGuiComboFlags_
{
ImGuiComboFlags_None = 0,
ImGuiComboFlags_PopupAlignLeft = 1 << 0, // Align the popup toward the left by default
ImGuiComboFlags_HeightSmall = 1 << 1, // Max ~4 items visible. Tip: If you want your combo popup to be a specific size you can use SetNextWindowSizeConstraints() prior to calling BeginCombo()
ImGuiComboFlags_HeightRegular = 1 << 2, // Max ~8 items visible (default)
ImGuiComboFlags_HeightLarge = 1 << 3, // Max ~20 items visible
ImGuiComboFlags_HeightLargest = 1 << 4, // As many fitting items as possible
ImGuiComboFlags_NoArrowButton = 1 << 5, // Display on the preview box without the square arrow button
ImGuiComboFlags_NoPreview = 1 << 6, // Display only a square arrow button
ImGuiComboFlags_HeightMask_ = ImGuiComboFlags_HeightSmall | ImGuiComboFlags_HeightRegular | ImGuiComboFlags_HeightLarge | ImGuiComboFlags_HeightLargest,
};
// Flags for ImGui::BeginTabBar()
enum ImGuiTabBarFlags_
{
ImGuiTabBarFlags_None = 0,
ImGuiTabBarFlags_Reorderable = 1 << 0, // Allow manually dragging tabs to re-order them + New tabs are appended at the end of list
ImGuiTabBarFlags_AutoSelectNewTabs = 1 << 1, // Automatically select new tabs when they appear
ImGuiTabBarFlags_TabListPopupButton = 1 << 2, // Disable buttons to open the tab list popup
ImGuiTabBarFlags_NoCloseWithMiddleMouseButton = 1 << 3, // Disable behavior of closing tabs (that are submitted with p_open != NULL) with middle mouse button. You can still repro this behavior on user's side with if (IsItemHovered() && IsMouseClicked(2)) *p_open = false.
ImGuiTabBarFlags_NoTabListScrollingButtons = 1 << 4, // Disable scrolling buttons (apply when fitting policy is ImGuiTabBarFlags_FittingPolicyScroll)
ImGuiTabBarFlags_NoTooltip = 1 << 5, // Disable tooltips when hovering a tab
ImGuiTabBarFlags_FittingPolicyResizeDown = 1 << 6, // Resize tabs when they don't fit
ImGuiTabBarFlags_FittingPolicyScroll = 1 << 7, // Add scroll buttons when tabs don't fit
ImGuiTabBarFlags_FittingPolicyMask_ = ImGuiTabBarFlags_FittingPolicyResizeDown | ImGuiTabBarFlags_FittingPolicyScroll,
ImGuiTabBarFlags_FittingPolicyDefault_ = ImGuiTabBarFlags_FittingPolicyResizeDown,
};
// Flags for ImGui::BeginTabItem()
enum ImGuiTabItemFlags_
{
ImGuiTabItemFlags_None = 0,
ImGuiTabItemFlags_UnsavedDocument = 1 << 0, // Display a dot next to the title + tab is selected when clicking the X + closure is not assumed (will wait for user to stop submitting the tab). Otherwise closure is assumed when pressing the X, so if you keep submitting the tab may reappear at end of tab bar.
ImGuiTabItemFlags_SetSelected = 1 << 1, // Trigger flag to programmatically make the tab selected when calling BeginTabItem()
ImGuiTabItemFlags_NoCloseWithMiddleMouseButton = 1 << 2, // Disable behavior of closing tabs (that are submitted with p_open != NULL) with middle mouse button. You can still repro this behavior on user's side with if (IsItemHovered() && IsMouseClicked(2)) *p_open = false.
ImGuiTabItemFlags_NoPushId = 1 << 3, // Don't call PushID(tab->ID)/PopID() on BeginTabItem()/EndTabItem()
ImGuiTabItemFlags_NoTooltip = 1 << 4, // Disable tooltip for the given tab
ImGuiTabItemFlags_NoReorder = 1 << 5, // Disable reordering this tab or having another tab cross over this tab
ImGuiTabItemFlags_Leading = 1 << 6, // Enforce the tab position to the left of the tab bar (after the tab list popup button)
ImGuiTabItemFlags_Trailing = 1 << 7, // Enforce the tab position to the right of the tab bar (before the scrolling buttons)
};
// Flags for ImGui::BeginTable()
// - Important! Sizing policies have complex and subtle side effects, much more so than you would expect.
// Read comments/demos carefully + experiment with live demos to get acquainted with them.
// - The DEFAULT sizing policies are:
// - Default to ImGuiTableFlags_SizingFixedFit if ScrollX is on, or if host window has ImGuiWindowFlags_AlwaysAutoResize.
// - Default to ImGuiTableFlags_SizingStretchSame if ScrollX is off.
// - When ScrollX is off:
// - Table defaults to ImGuiTableFlags_SizingStretchSame -> all Columns defaults to ImGuiTableColumnFlags_WidthStretch with same weight.
// - Columns sizing policy allowed: Stretch (default), Fixed/Auto.
// - Fixed Columns (if any) will generally obtain their requested width (unless the table cannot fit them all).
// - Stretch Columns will share the remaining width according to their respective weight.
// - Mixed Fixed/Stretch columns is possible but has various side-effects on resizing behaviors.
// The typical use of mixing sizing policies is: any number of LEADING Fixed columns, followed by one or two TRAILING Stretch columns.
// (this is because the visible order of columns have subtle but necessary effects on how they react to manual resizing).
// - When ScrollX is on:
// - Table defaults to ImGuiTableFlags_SizingFixedFit -> all Columns defaults to ImGuiTableColumnFlags_WidthFixed
// - Columns sizing policy allowed: Fixed/Auto mostly.
// - Fixed Columns can be enlarged as needed. Table will show a horizontal scrollbar if needed.
// - When using auto-resizing (non-resizable) fixed columns, querying the content width to use item right-alignment e.g. SetNextItemWidth(-FLT_MIN) doesn't make sense, would create a feedback loop.
// - Using Stretch columns OFTEN DOES NOT MAKE SENSE if ScrollX is on, UNLESS you have specified a value for 'inner_width' in BeginTable().
// If you specify a value for 'inner_width' then effectively the scrolling space is known and Stretch or mixed Fixed/Stretch columns become meaningful again.
// - Read on documentation at the top of imgui_tables.cpp for details.
enum ImGuiTableFlags_
{
// Features
ImGuiTableFlags_None = 0,
ImGuiTableFlags_Resizable = 1 << 0, // Enable resizing columns.
ImGuiTableFlags_Reorderable = 1 << 1, // Enable reordering columns in header row (need calling TableSetupColumn() + TableHeadersRow() to display headers)
ImGuiTableFlags_Hideable = 1 << 2, // Enable hiding/disabling columns in context menu.
ImGuiTableFlags_Sortable = 1 << 3, // Enable sorting. Call TableGetSortSpecs() to obtain sort specs. Also see ImGuiTableFlags_SortMulti and ImGuiTableFlags_SortTristate.
ImGuiTableFlags_NoSavedSettings = 1 << 4, // Disable persisting columns order, width and sort settings in the .ini file.
ImGuiTableFlags_ContextMenuInBody = 1 << 5, // Right-click on columns body/contents will display table context menu. By default it is available in TableHeadersRow().
// Decorations
ImGuiTableFlags_RowBg = 1 << 6, // Set each RowBg color with ImGuiCol_TableRowBg or ImGuiCol_TableRowBgAlt (equivalent of calling TableSetBgColor with ImGuiTableBgFlags_RowBg0 on each row manually)
ImGuiTableFlags_BordersInnerH = 1 << 7, // Draw horizontal borders between rows.
ImGuiTableFlags_BordersOuterH = 1 << 8, // Draw horizontal borders at the top and bottom.
ImGuiTableFlags_BordersInnerV = 1 << 9, // Draw vertical borders between columns.
ImGuiTableFlags_BordersOuterV = 1 << 10, // Draw vertical borders on the left and right sides.
ImGuiTableFlags_BordersH = ImGuiTableFlags_BordersInnerH | ImGuiTableFlags_BordersOuterH, // Draw horizontal borders.
ImGuiTableFlags_BordersV = ImGuiTableFlags_BordersInnerV | ImGuiTableFlags_BordersOuterV, // Draw vertical borders.
ImGuiTableFlags_BordersInner = ImGuiTableFlags_BordersInnerV | ImGuiTableFlags_BordersInnerH, // Draw inner borders.
ImGuiTableFlags_BordersOuter = ImGuiTableFlags_BordersOuterV | ImGuiTableFlags_BordersOuterH, // Draw outer borders.
ImGuiTableFlags_Borders = ImGuiTableFlags_BordersInner | ImGuiTableFlags_BordersOuter, // Draw all borders.
ImGuiTableFlags_NoBordersInBody = 1 << 11, // [ALPHA] Disable vertical borders in columns Body (borders will always appear in Headers). -> May move to style
ImGuiTableFlags_NoBordersInBodyUntilResize = 1 << 12, // [ALPHA] Disable vertical borders in columns Body until hovered for resize (borders will always appear in Headers). -> May move to style
// Sizing Policy (read above for defaults)
ImGuiTableFlags_SizingFixedFit = 1 << 13, // Columns default to _WidthFixed or _WidthAuto (if resizable or not resizable), matching contents width.
ImGuiTableFlags_SizingFixedSame = 2 << 13, // Columns default to _WidthFixed or _WidthAuto (if resizable or not resizable), matching the maximum contents width of all columns. Implicitly enable ImGuiTableFlags_NoKeepColumnsVisible.
ImGuiTableFlags_SizingStretchProp = 3 << 13, // Columns default to _WidthStretch with default weights proportional to each columns contents widths.
ImGuiTableFlags_SizingStretchSame = 4 << 13, // Columns default to _WidthStretch with default weights all equal, unless overridden by TableSetupColumn().
// Sizing Extra Options
ImGuiTableFlags_NoHostExtendX = 1 << 16, // Make outer width auto-fit to columns, overriding outer_size.x value. Only available when ScrollX/ScrollY are disabled and Stretch columns are not used.
ImGuiTableFlags_NoHostExtendY = 1 << 17, // Make outer height stop exactly at outer_size.y (prevent auto-extending table past the limit). Only available when ScrollX/ScrollY are disabled. Data below the limit will be clipped and not visible.
ImGuiTableFlags_NoKeepColumnsVisible = 1 << 18, // Disable keeping column always minimally visible when ScrollX is off and table gets too small. Not recommended if columns are resizable.
ImGuiTableFlags_PreciseWidths = 1 << 19, // Disable distributing remainder width to stretched columns (width allocation on a 100-wide table with 3 columns: Without this flag: 33,33,34. With this flag: 33,33,33). With larger number of columns, resizing will appear to be less smooth.
// Clipping
ImGuiTableFlags_NoClip = 1 << 20, // Disable clipping rectangle for every individual columns (reduce draw command count, items will be able to overflow into other columns). Generally incompatible with TableSetupScrollFreeze().
// Padding
ImGuiTableFlags_PadOuterX = 1 << 21, // Default if BordersOuterV is on. Enable outermost padding. Generally desirable if you have headers.
ImGuiTableFlags_NoPadOuterX = 1 << 22, // Default if BordersOuterV is off. Disable outermost padding.
ImGuiTableFlags_NoPadInnerX = 1 << 23, // Disable inner padding between columns (double inner padding if BordersOuterV is on, single inner padding if BordersOuterV is off).
// Scrolling
ImGuiTableFlags_ScrollX = 1 << 24, // Enable horizontal scrolling. Require 'outer_size' parameter of BeginTable() to specify the container size. Changes default sizing policy. Because this creates a child window, ScrollY is currently generally recommended when using ScrollX.
ImGuiTableFlags_ScrollY = 1 << 25, // Enable vertical scrolling. Require 'outer_size' parameter of BeginTable() to specify the container size.
// Sorting
ImGuiTableFlags_SortMulti = 1 << 26, // Hold shift when clicking headers to sort on multiple column. TableGetSortSpecs() may return specs where (SpecsCount > 1).
ImGuiTableFlags_SortTristate = 1 << 27, // Allow no sorting, disable default sorting. TableGetSortSpecs() may return specs where (SpecsCount == 0).
// [Internal] Combinations and masks
ImGuiTableFlags_SizingMask_ = ImGuiTableFlags_SizingFixedFit | ImGuiTableFlags_SizingFixedSame | ImGuiTableFlags_SizingStretchProp | ImGuiTableFlags_SizingStretchSame,
};
// Flags for ImGui::TableSetupColumn()
enum ImGuiTableColumnFlags_
{
// Input configuration flags
ImGuiTableColumnFlags_None = 0,
ImGuiTableColumnFlags_Disabled = 1 << 0, // Overriding/master disable flag: hide column, won't show in context menu (unlike calling TableSetColumnEnabled() which manipulates the user accessible state)
ImGuiTableColumnFlags_DefaultHide = 1 << 1, // Default as a hidden/disabled column.
ImGuiTableColumnFlags_DefaultSort = 1 << 2, // Default as a sorting column.
ImGuiTableColumnFlags_WidthStretch = 1 << 3, // Column will stretch. Preferable with horizontal scrolling disabled (default if table sizing policy is _SizingStretchSame or _SizingStretchProp).
ImGuiTableColumnFlags_WidthFixed = 1 << 4, // Column will not stretch. Preferable with horizontal scrolling enabled (default if table sizing policy is _SizingFixedFit and table is resizable).
ImGuiTableColumnFlags_NoResize = 1 << 5, // Disable manual resizing.
ImGuiTableColumnFlags_NoReorder = 1 << 6, // Disable manual reordering this column, this will also prevent other columns from crossing over this column.
ImGuiTableColumnFlags_NoHide = 1 << 7, // Disable ability to hide/disable this column.
ImGuiTableColumnFlags_NoClip = 1 << 8, // Disable clipping for this column (all NoClip columns will render in a same draw command).
ImGuiTableColumnFlags_NoSort = 1 << 9, // Disable ability to sort on this field (even if ImGuiTableFlags_Sortable is set on the table).
ImGuiTableColumnFlags_NoSortAscending = 1 << 10, // Disable ability to sort in the ascending direction.
ImGuiTableColumnFlags_NoSortDescending = 1 << 11, // Disable ability to sort in the descending direction.
ImGuiTableColumnFlags_NoHeaderLabel = 1 << 12, // TableHeadersRow() will not submit label for this column. Convenient for some small columns. Name will still appear in context menu.
ImGuiTableColumnFlags_NoHeaderWidth = 1 << 13, // Disable header text width contribution to automatic column width.
ImGuiTableColumnFlags_PreferSortAscending = 1 << 14, // Make the initial sort direction Ascending when first sorting on this column (default).
ImGuiTableColumnFlags_PreferSortDescending = 1 << 15, // Make the initial sort direction Descending when first sorting on this column.
ImGuiTableColumnFlags_IndentEnable = 1 << 16, // Use current Indent value when entering cell (default for column 0).
ImGuiTableColumnFlags_IndentDisable = 1 << 17, // Ignore current Indent value when entering cell (default for columns > 0). Indentation changes _within_ the cell will still be honored.
// Output status flags, read-only via TableGetColumnFlags()
ImGuiTableColumnFlags_IsEnabled = 1 << 24, // Status: is enabled == not hidden by user/api (referred to as "Hide" in _DefaultHide and _NoHide) flags.
ImGuiTableColumnFlags_IsVisible = 1 << 25, // Status: is visible == is enabled AND not clipped by scrolling.
ImGuiTableColumnFlags_IsSorted = 1 << 26, // Status: is currently part of the sort specs
ImGuiTableColumnFlags_IsHovered = 1 << 27, // Status: is hovered by mouse
// [Internal] Combinations and masks
ImGuiTableColumnFlags_WidthMask_ = ImGuiTableColumnFlags_WidthStretch | ImGuiTableColumnFlags_WidthFixed,
ImGuiTableColumnFlags_IndentMask_ = ImGuiTableColumnFlags_IndentEnable | ImGuiTableColumnFlags_IndentDisable,
ImGuiTableColumnFlags_StatusMask_ = ImGuiTableColumnFlags_IsEnabled | ImGuiTableColumnFlags_IsVisible | ImGuiTableColumnFlags_IsSorted | ImGuiTableColumnFlags_IsHovered,
ImGuiTableColumnFlags_NoDirectResize_ = 1 << 30, // [Internal] Disable user resizing this column directly (it may however we resized indirectly from its left edge)
};
// Flags for ImGui::TableNextRow()
enum ImGuiTableRowFlags_
{
ImGuiTableRowFlags_None = 0,
ImGuiTableRowFlags_Headers = 1 << 0, // Identify header row (set default background color + width of its contents accounted differently for auto column width)
};
// Enum for ImGui::TableSetBgColor()
// Background colors are rendering in 3 layers:
// - Layer 0: draw with RowBg0 color if set, otherwise draw with ColumnBg0 if set.
// - Layer 1: draw with RowBg1 color if set, otherwise draw with ColumnBg1 if set.
// - Layer 2: draw with CellBg color if set.
// The purpose of the two row/columns layers is to let you decide if a background color change should override or blend with the existing color.
// When using ImGuiTableFlags_RowBg on the table, each row has the RowBg0 color automatically set for odd/even rows.
// If you set the color of RowBg0 target, your color will override the existing RowBg0 color.
// If you set the color of RowBg1 or ColumnBg1 target, your color will blend over the RowBg0 color.
enum ImGuiTableBgTarget_
{
ImGuiTableBgTarget_None = 0,
ImGuiTableBgTarget_RowBg0 = 1, // Set row background color 0 (generally used for background, automatically set when ImGuiTableFlags_RowBg is used)
ImGuiTableBgTarget_RowBg1 = 2, // Set row background color 1 (generally used for selection marking)
ImGuiTableBgTarget_CellBg = 3, // Set cell background color (top-most color)
};
// Flags for ImGui::IsWindowFocused()
enum ImGuiFocusedFlags_
{
ImGuiFocusedFlags_None = 0,
ImGuiFocusedFlags_ChildWindows = 1 << 0, // Return true if any children of the window is focused
ImGuiFocusedFlags_RootWindow = 1 << 1, // Test from root window (top most parent of the current hierarchy)
ImGuiFocusedFlags_AnyWindow = 1 << 2, // Return true if any window is focused. Important: If you are trying to tell how to dispatch your low-level inputs, do NOT use this. Use 'io.WantCaptureMouse' instead! Please read the FAQ!
ImGuiFocusedFlags_NoPopupHierarchy = 1 << 3, // Do not consider popup hierarchy (do not treat popup emitter as parent of popup) (when used with _ChildWindows or _RootWindow)
ImGuiFocusedFlags_DockHierarchy = 1 << 4, // Consider docking hierarchy (treat dockspace host as parent of docked window) (when used with _ChildWindows or _RootWindow)
ImGuiFocusedFlags_RootAndChildWindows = ImGuiFocusedFlags_RootWindow | ImGuiFocusedFlags_ChildWindows,
};
// Flags for ImGui::IsItemHovered(), ImGui::IsWindowHovered()
// Note: if you are trying to check whether your mouse should be dispatched to Dear ImGui or to your app, you should use 'io.WantCaptureMouse' instead! Please read the FAQ!
// Note: windows with the ImGuiWindowFlags_NoInputs flag are ignored by IsWindowHovered() calls.
enum ImGuiHoveredFlags_
{
ImGuiHoveredFlags_None = 0, // Return true if directly over the item/window, not obstructed by another window, not obstructed by an active popup or modal blocking inputs under them.
ImGuiHoveredFlags_ChildWindows = 1 << 0, // IsWindowHovered() only: Return true if any children of the window is hovered
ImGuiHoveredFlags_RootWindow = 1 << 1, // IsWindowHovered() only: Test from root window (top most parent of the current hierarchy)
ImGuiHoveredFlags_AnyWindow = 1 << 2, // IsWindowHovered() only: Return true if any window is hovered
ImGuiHoveredFlags_NoPopupHierarchy = 1 << 3, // IsWindowHovered() only: Do not consider popup hierarchy (do not treat popup emitter as parent of popup) (when used with _ChildWindows or _RootWindow)
ImGuiHoveredFlags_DockHierarchy = 1 << 4, // IsWindowHovered() only: Consider docking hierarchy (treat dockspace host as parent of docked window) (when used with _ChildWindows or _RootWindow)
ImGuiHoveredFlags_AllowWhenBlockedByPopup = 1 << 5, // Return true even if a popup window is normally blocking access to this item/window
//ImGuiHoveredFlags_AllowWhenBlockedByModal = 1 << 6, // Return true even if a modal popup window is normally blocking access to this item/window. FIXME-TODO: Unavailable yet.
ImGuiHoveredFlags_AllowWhenBlockedByActiveItem = 1 << 7, // Return true even if an active item is blocking access to this item/window. Useful for Drag and Drop patterns.
ImGuiHoveredFlags_AllowWhenOverlapped = 1 << 8, // IsItemHovered() only: Return true even if the position is obstructed or overlapped by another window
ImGuiHoveredFlags_AllowWhenDisabled = 1 << 9, // IsItemHovered() only: Return true even if the item is disabled
ImGuiHoveredFlags_NoNavOverride = 1 << 10, // Disable using gamepad/keyboard navigation state when active, always query mouse.
ImGuiHoveredFlags_RectOnly = ImGuiHoveredFlags_AllowWhenBlockedByPopup | ImGuiHoveredFlags_AllowWhenBlockedByActiveItem | ImGuiHoveredFlags_AllowWhenOverlapped,
ImGuiHoveredFlags_RootAndChildWindows = ImGuiHoveredFlags_RootWindow | ImGuiHoveredFlags_ChildWindows,
// Hovering delays (for tooltips)
ImGuiHoveredFlags_DelayNormal = 1 << 11, // Return true after io.HoverDelayNormal elapsed (~0.30 sec)
ImGuiHoveredFlags_DelayShort = 1 << 12, // Return true after io.HoverDelayShort elapsed (~0.10 sec)
ImGuiHoveredFlags_NoSharedDelay = 1 << 13, // Disable shared delay system where moving from one item to the next keeps the previous timer for a short time (standard for tooltips with long delays)
};
// Flags for ImGui::DockSpace(), shared/inherited by child nodes.
// (Some flags can be applied to individual nodes directly)
// FIXME-DOCK: Also see ImGuiDockNodeFlagsPrivate_ which may involve using the WIP and internal DockBuilder api.
enum ImGuiDockNodeFlags_
{
ImGuiDockNodeFlags_None = 0,
ImGuiDockNodeFlags_KeepAliveOnly = 1 << 0, // Shared // Don't display the dockspace node but keep it alive. Windows docked into this dockspace node won't be undocked.
//ImGuiDockNodeFlags_NoCentralNode = 1 << 1, // Shared // Disable Central Node (the node which can stay empty)
ImGuiDockNodeFlags_NoDockingInCentralNode = 1 << 2, // Shared // Disable docking inside the Central Node, which will be always kept empty.
ImGuiDockNodeFlags_PassthruCentralNode = 1 << 3, // Shared // Enable passthru dockspace: 1) DockSpace() will render a ImGuiCol_WindowBg background covering everything excepted the Central Node when empty. Meaning the host window should probably use SetNextWindowBgAlpha(0.0f) prior to Begin() when using this. 2) When Central Node is empty: let inputs pass-through + won't display a DockingEmptyBg background. See demo for details.
ImGuiDockNodeFlags_NoSplit = 1 << 4, // Shared/Local // Disable splitting the node into smaller nodes. Useful e.g. when embedding dockspaces into a main root one (the root one may have splitting disabled to reduce confusion). Note: when turned off, existing splits will be preserved.
ImGuiDockNodeFlags_NoResize = 1 << 5, // Shared/Local // Disable resizing node using the splitter/separators. Useful with programmatically setup dockspaces.
ImGuiDockNodeFlags_AutoHideTabBar = 1 << 6, // Shared/Local // Tab bar will automatically hide when there is a single window in the dock node.
};
// Flags for ImGui::BeginDragDropSource(), ImGui::AcceptDragDropPayload()
enum ImGuiDragDropFlags_
{
ImGuiDragDropFlags_None = 0,
// BeginDragDropSource() flags
ImGuiDragDropFlags_SourceNoPreviewTooltip = 1 << 0, // Disable preview tooltip. By default, a successful call to BeginDragDropSource opens a tooltip so you can display a preview or description of the source contents. This flag disables this behavior.
ImGuiDragDropFlags_SourceNoDisableHover = 1 << 1, // By default, when dragging we clear data so that IsItemHovered() will return false, to avoid subsequent user code submitting tooltips. This flag disables this behavior so you can still call IsItemHovered() on the source item.
ImGuiDragDropFlags_SourceNoHoldToOpenOthers = 1 << 2, // Disable the behavior that allows to open tree nodes and collapsing header by holding over them while dragging a source item.
ImGuiDragDropFlags_SourceAllowNullID = 1 << 3, // Allow items such as Text(), Image() that have no unique identifier to be used as drag source, by manufacturing a temporary identifier based on their window-relative position. This is extremely unusual within the dear imgui ecosystem and so we made it explicit.
ImGuiDragDropFlags_SourceExtern = 1 << 4, // External source (from outside of dear imgui), won't attempt to read current item/window info. Will always return true. Only one Extern source can be active simultaneously.
ImGuiDragDropFlags_SourceAutoExpirePayload = 1 << 5, // Automatically expire the payload if the source cease to be submitted (otherwise payloads are persisting while being dragged)
// AcceptDragDropPayload() flags
ImGuiDragDropFlags_AcceptBeforeDelivery = 1 << 10, // AcceptDragDropPayload() will returns true even before the mouse button is released. You can then call IsDelivery() to test if the payload needs to be delivered.
ImGuiDragDropFlags_AcceptNoDrawDefaultRect = 1 << 11, // Do not draw the default highlight rectangle when hovering over target.
ImGuiDragDropFlags_AcceptNoPreviewTooltip = 1 << 12, // Request hiding the BeginDragDropSource tooltip from the BeginDragDropTarget site.
ImGuiDragDropFlags_AcceptPeekOnly = ImGuiDragDropFlags_AcceptBeforeDelivery | ImGuiDragDropFlags_AcceptNoDrawDefaultRect, // For peeking ahead and inspecting the payload before delivery.
};
// Standard Drag and Drop payload types. You can define you own payload types using short strings. Types starting with '_' are defined by Dear ImGui.
#define IMGUI_PAYLOAD_TYPE_COLOR_3F "_COL3F" // float[3]: Standard type for colors, without alpha. User code may use this type.
#define IMGUI_PAYLOAD_TYPE_COLOR_4F "_COL4F" // float[4]: Standard type for colors. User code may use this type.
// A primary data type
enum ImGuiDataType_
{
ImGuiDataType_S8, // signed char / char (with sensible compilers)
ImGuiDataType_U8, // unsigned char
ImGuiDataType_S16, // short
ImGuiDataType_U16, // unsigned short
ImGuiDataType_S32, // int
ImGuiDataType_U32, // unsigned int
ImGuiDataType_S64, // long long / __int64
ImGuiDataType_U64, // unsigned long long / unsigned __int64
ImGuiDataType_Float, // float
ImGuiDataType_Double, // double
ImGuiDataType_COUNT
};
// A cardinal direction
enum ImGuiDir_
{
ImGuiDir_None = -1,
ImGuiDir_Left = 0,
ImGuiDir_Right = 1,
ImGuiDir_Up = 2,
ImGuiDir_Down = 3,
ImGuiDir_COUNT
};
// A sorting direction
enum ImGuiSortDirection_
{
ImGuiSortDirection_None = 0,
ImGuiSortDirection_Ascending = 1, // Ascending = 0->9, A->Z etc.
ImGuiSortDirection_Descending = 2 // Descending = 9->0, Z->A etc.
};
// A key identifier (ImGuiKey_XXX or ImGuiMod_XXX value): can represent Keyboard, Mouse and Gamepad values.
// All our named keys are >= 512. Keys value 0 to 511 are left unused as legacy native/opaque key values (< 1.87).
// Since >= 1.89 we increased typing (went from int to enum), some legacy code may need a cast to ImGuiKey.
// Read details about the 1.87 and 1.89 transition : https://github.com/ocornut/imgui/issues/4921
// Note that "Keys" related to physical keys and are not the same concept as input "Characters", the later are submitted via io.AddInputCharacter().
enum ImGuiKey : int
{
// Keyboard
ImGuiKey_None = 0,
ImGuiKey_Tab = 512, // == ImGuiKey_NamedKey_BEGIN
ImGuiKey_LeftArrow,
ImGuiKey_RightArrow,
ImGuiKey_UpArrow,
ImGuiKey_DownArrow,
ImGuiKey_PageUp,
ImGuiKey_PageDown,
ImGuiKey_Home,
ImGuiKey_End,
ImGuiKey_Insert,
ImGuiKey_Delete,
ImGuiKey_Backspace,
ImGuiKey_Space,
ImGuiKey_Enter,
ImGuiKey_Escape,
ImGuiKey_LeftCtrl, ImGuiKey_LeftShift, ImGuiKey_LeftAlt, ImGuiKey_LeftSuper,
ImGuiKey_RightCtrl, ImGuiKey_RightShift, ImGuiKey_RightAlt, ImGuiKey_RightSuper,
ImGuiKey_Menu,
ImGuiKey_0, ImGuiKey_1, ImGuiKey_2, ImGuiKey_3, ImGuiKey_4, ImGuiKey_5, ImGuiKey_6, ImGuiKey_7, ImGuiKey_8, ImGuiKey_9,
ImGuiKey_A, ImGuiKey_B, ImGuiKey_C, ImGuiKey_D, ImGuiKey_E, ImGuiKey_F, ImGuiKey_G, ImGuiKey_H, ImGuiKey_I, ImGuiKey_J,
ImGuiKey_K, ImGuiKey_L, ImGuiKey_M, ImGuiKey_N, ImGuiKey_O, ImGuiKey_P, ImGuiKey_Q, ImGuiKey_R, ImGuiKey_S, ImGuiKey_T,
ImGuiKey_U, ImGuiKey_V, ImGuiKey_W, ImGuiKey_X, ImGuiKey_Y, ImGuiKey_Z,
ImGuiKey_F1, ImGuiKey_F2, ImGuiKey_F3, ImGuiKey_F4, ImGuiKey_F5, ImGuiKey_F6,
ImGuiKey_F7, ImGuiKey_F8, ImGuiKey_F9, ImGuiKey_F10, ImGuiKey_F11, ImGuiKey_F12,
ImGuiKey_Apostrophe, // '
ImGuiKey_Comma, // ,
ImGuiKey_Minus, // -
ImGuiKey_Period, // .
ImGuiKey_Slash, // /
ImGuiKey_Semicolon, // ;
ImGuiKey_Equal, // =
ImGuiKey_LeftBracket, // [
ImGuiKey_Backslash, // \ (this text inhibit multiline comment caused by backslash)
ImGuiKey_RightBracket, // ]
ImGuiKey_GraveAccent, // `
ImGuiKey_CapsLock,
ImGuiKey_ScrollLock,
ImGuiKey_NumLock,
ImGuiKey_PrintScreen,
ImGuiKey_Pause,
ImGuiKey_Keypad0, ImGuiKey_Keypad1, ImGuiKey_Keypad2, ImGuiKey_Keypad3, ImGuiKey_Keypad4,
ImGuiKey_Keypad5, ImGuiKey_Keypad6, ImGuiKey_Keypad7, ImGuiKey_Keypad8, ImGuiKey_Keypad9,
ImGuiKey_KeypadDecimal,
ImGuiKey_KeypadDivide,
ImGuiKey_KeypadMultiply,
ImGuiKey_KeypadSubtract,
ImGuiKey_KeypadAdd,
ImGuiKey_KeypadEnter,
ImGuiKey_KeypadEqual,
// Gamepad (some of those are analog values, 0.0f to 1.0f) // NAVIGATION ACTION
// (download controller mapping PNG/PSD at http://dearimgui.com/controls_sheets)
ImGuiKey_GamepadStart, // Menu (Xbox) + (Switch) Start/Options (PS)
ImGuiKey_GamepadBack, // View (Xbox) - (Switch) Share (PS)
ImGuiKey_GamepadFaceLeft, // X (Xbox) Y (Switch) Square (PS) // Tap: Toggle Menu. Hold: Windowing mode (Focus/Move/Resize windows)
ImGuiKey_GamepadFaceRight, // B (Xbox) A (Switch) Circle (PS) // Cancel / Close / Exit
ImGuiKey_GamepadFaceUp, // Y (Xbox) X (Switch) Triangle (PS) // Text Input / On-screen Keyboard
ImGuiKey_GamepadFaceDown, // A (Xbox) B (Switch) Cross (PS) // Activate / Open / Toggle / Tweak
ImGuiKey_GamepadDpadLeft, // D-pad Left // Move / Tweak / Resize Window (in Windowing mode)
ImGuiKey_GamepadDpadRight, // D-pad Right // Move / Tweak / Resize Window (in Windowing mode)
ImGuiKey_GamepadDpadUp, // D-pad Up // Move / Tweak / Resize Window (in Windowing mode)
ImGuiKey_GamepadDpadDown, // D-pad Down // Move / Tweak / Resize Window (in Windowing mode)
ImGuiKey_GamepadL1, // L Bumper (Xbox) L (Switch) L1 (PS) // Tweak Slower / Focus Previous (in Windowing mode)
ImGuiKey_GamepadR1, // R Bumper (Xbox) R (Switch) R1 (PS) // Tweak Faster / Focus Next (in Windowing mode)
ImGuiKey_GamepadL2, // L Trig. (Xbox) ZL (Switch) L2 (PS) [Analog]
ImGuiKey_GamepadR2, // R Trig. (Xbox) ZR (Switch) R2 (PS) [Analog]
ImGuiKey_GamepadL3, // L Stick (Xbox) L3 (Switch) L3 (PS)
ImGuiKey_GamepadR3, // R Stick (Xbox) R3 (Switch) R3 (PS)
ImGuiKey_GamepadLStickLeft, // [Analog] // Move Window (in Windowing mode)
ImGuiKey_GamepadLStickRight, // [Analog] // Move Window (in Windowing mode)
ImGuiKey_GamepadLStickUp, // [Analog] // Move Window (in Windowing mode)
ImGuiKey_GamepadLStickDown, // [Analog] // Move Window (in Windowing mode)
ImGuiKey_GamepadRStickLeft, // [Analog]
ImGuiKey_GamepadRStickRight, // [Analog]
ImGuiKey_GamepadRStickUp, // [Analog]
ImGuiKey_GamepadRStickDown, // [Analog]
// Aliases: Mouse Buttons (auto-submitted from AddMouseButtonEvent() calls)
// - This is mirroring the data also written to io.MouseDown[], io.MouseWheel, in a format allowing them to be accessed via standard key API.
ImGuiKey_MouseLeft, ImGuiKey_MouseRight, ImGuiKey_MouseMiddle, ImGuiKey_MouseX1, ImGuiKey_MouseX2, ImGuiKey_MouseWheelX, ImGuiKey_MouseWheelY,
// [Internal] Reserved for mod storage
ImGuiKey_ReservedForModCtrl, ImGuiKey_ReservedForModShift, ImGuiKey_ReservedForModAlt, ImGuiKey_ReservedForModSuper,
ImGuiKey_COUNT,
// Keyboard Modifiers (explicitly submitted by backend via AddKeyEvent() calls)
// - This is mirroring the data also written to io.KeyCtrl, io.KeyShift, io.KeyAlt, io.KeySuper, in a format allowing
// them to be accessed via standard key API, allowing calls such as IsKeyPressed(), IsKeyReleased(), querying duration etc.
// - Code polling every key (e.g. an interface to detect a key press for input mapping) might want to ignore those
// and prefer using the real keys (e.g. ImGuiKey_LeftCtrl, ImGuiKey_RightCtrl instead of ImGuiMod_Ctrl).
// - In theory the value of keyboard modifiers should be roughly equivalent to a logical or of the equivalent left/right keys.
// In practice: it's complicated; mods are often provided from different sources. Keyboard layout, IME, sticky keys and
// backends tend to interfere and break that equivalence. The safer decision is to relay that ambiguity down to the end-user...
ImGuiMod_None = 0,
ImGuiMod_Ctrl = 1 << 12, // Ctrl
ImGuiMod_Shift = 1 << 13, // Shift
ImGuiMod_Alt = 1 << 14, // Option/Menu
ImGuiMod_Super = 1 << 15, // Cmd/Super/Windows
ImGuiMod_Shortcut = 1 << 11, // Alias for Ctrl (non-macOS) _or_ Super (macOS).
ImGuiMod_Mask_ = 0xF800, // 5-bits
// [Internal] Prior to 1.87 we required user to fill io.KeysDown[512] using their own native index + the io.KeyMap[] array.
// We are ditching this method but keeping a legacy path for user code doing e.g. IsKeyPressed(MY_NATIVE_KEY_CODE)
// If you need to iterate all keys (for e.g. an input mapper) you may use ImGuiKey_NamedKey_BEGIN..ImGuiKey_NamedKey_END.
ImGuiKey_NamedKey_BEGIN = 512,
ImGuiKey_NamedKey_END = ImGuiKey_COUNT,
ImGuiKey_NamedKey_COUNT = ImGuiKey_NamedKey_END - ImGuiKey_NamedKey_BEGIN,
#ifdef IMGUI_DISABLE_OBSOLETE_KEYIO
ImGuiKey_KeysData_SIZE = ImGuiKey_NamedKey_COUNT, // Size of KeysData[]: only hold named keys
ImGuiKey_KeysData_OFFSET = ImGuiKey_NamedKey_BEGIN, // Accesses to io.KeysData[] must use (key - ImGuiKey_KeysData_OFFSET) index.
#else
ImGuiKey_KeysData_SIZE = ImGuiKey_COUNT, // Size of KeysData[]: hold legacy 0..512 keycodes + named keys
ImGuiKey_KeysData_OFFSET = 0, // Accesses to io.KeysData[] must use (key - ImGuiKey_KeysData_OFFSET) index.
#endif
#ifndef IMGUI_DISABLE_OBSOLETE_FUNCTIONS
ImGuiKey_ModCtrl = ImGuiMod_Ctrl, ImGuiKey_ModShift = ImGuiMod_Shift, ImGuiKey_ModAlt = ImGuiMod_Alt, ImGuiKey_ModSuper = ImGuiMod_Super, // Renamed in 1.89
ImGuiKey_KeyPadEnter = ImGuiKey_KeypadEnter, // Renamed in 1.87
#endif
};
#ifndef IMGUI_DISABLE_OBSOLETE_KEYIO
// OBSOLETED in 1.88 (from July 2022): ImGuiNavInput and io.NavInputs[].
// Official backends between 1.60 and 1.86: will keep working and feed gamepad inputs as long as IMGUI_DISABLE_OBSOLETE_KEYIO is not set.
// Custom backends: feed gamepad inputs via io.AddKeyEvent() and ImGuiKey_GamepadXXX enums.
enum ImGuiNavInput
{
ImGuiNavInput_Activate, ImGuiNavInput_Cancel, ImGuiNavInput_Input, ImGuiNavInput_Menu, ImGuiNavInput_DpadLeft, ImGuiNavInput_DpadRight, ImGuiNavInput_DpadUp, ImGuiNavInput_DpadDown,
ImGuiNavInput_LStickLeft, ImGuiNavInput_LStickRight, ImGuiNavInput_LStickUp, ImGuiNavInput_LStickDown, ImGuiNavInput_FocusPrev, ImGuiNavInput_FocusNext, ImGuiNavInput_TweakSlow, ImGuiNavInput_TweakFast,
ImGuiNavInput_COUNT,
};
#endif
// Configuration flags stored in io.ConfigFlags. Set by user/application.
enum ImGuiConfigFlags_
{
ImGuiConfigFlags_None = 0,
ImGuiConfigFlags_NavEnableKeyboard = 1 << 0, // Master keyboard navigation enable flag. Enable full Tabbing + directional arrows + space/enter to activate.
ImGuiConfigFlags_NavEnableGamepad = 1 << 1, // Master gamepad navigation enable flag. Backend also needs to set ImGuiBackendFlags_HasGamepad.
ImGuiConfigFlags_NavEnableSetMousePos = 1 << 2, // Instruct navigation to move the mouse cursor. May be useful on TV/console systems where moving a virtual mouse is awkward. Will update io.MousePos and set io.WantSetMousePos=true. If enabled you MUST honor io.WantSetMousePos requests in your backend, otherwise ImGui will react as if the mouse is jumping around back and forth.
ImGuiConfigFlags_NavNoCaptureKeyboard = 1 << 3, // Instruct navigation to not set the io.WantCaptureKeyboard flag when io.NavActive is set.
ImGuiConfigFlags_NoMouse = 1 << 4, // Instruct imgui to clear mouse position/buttons in NewFrame(). This allows ignoring the mouse information set by the backend.
ImGuiConfigFlags_NoMouseCursorChange = 1 << 5, // Instruct backend to not alter mouse cursor shape and visibility. Use if the backend cursor changes are interfering with yours and you don't want to use SetMouseCursor() to change mouse cursor. You may want to honor requests from imgui by reading GetMouseCursor() yourself instead.
// [BETA] Docking
ImGuiConfigFlags_DockingEnable = 1 << 6, // Docking enable flags.
// [BETA] Viewports
// When using viewports it is recommended that your default value for ImGuiCol_WindowBg is opaque (Alpha=1.0) so transition to a viewport won't be noticeable.
ImGuiConfigFlags_ViewportsEnable = 1 << 10, // Viewport enable flags (require both ImGuiBackendFlags_PlatformHasViewports + ImGuiBackendFlags_RendererHasViewports set by the respective backends)
ImGuiConfigFlags_DpiEnableScaleViewports= 1 << 14, // [BETA: Don't use] FIXME-DPI: Reposition and resize imgui windows when the DpiScale of a viewport changed (mostly useful for the main viewport hosting other window). Note that resizing the main window itself is up to your application.
ImGuiConfigFlags_DpiEnableScaleFonts = 1 << 15, // [BETA: Don't use] FIXME-DPI: Request bitmap-scaled fonts to match DpiScale. This is a very low-quality workaround. The correct way to handle DPI is _currently_ to replace the atlas and/or fonts in the Platform_OnChangedViewport callback, but this is all early work in progress.
// User storage (to allow your backend/engine to communicate to code that may be shared between multiple projects. Those flags are NOT used by core Dear ImGui)
ImGuiConfigFlags_IsSRGB = 1 << 20, // Application is SRGB-aware.
ImGuiConfigFlags_IsTouchScreen = 1 << 21, // Application is using a touch screen instead of a mouse.
};
// Backend capabilities flags stored in io.BackendFlags. Set by imgui_impl_xxx or custom backend.
enum ImGuiBackendFlags_
{
ImGuiBackendFlags_None = 0,
ImGuiBackendFlags_HasGamepad = 1 << 0, // Backend Platform supports gamepad and currently has one connected.
ImGuiBackendFlags_HasMouseCursors = 1 << 1, // Backend Platform supports honoring GetMouseCursor() value to change the OS cursor shape.
ImGuiBackendFlags_HasSetMousePos = 1 << 2, // Backend Platform supports io.WantSetMousePos requests to reposition the OS mouse position (only used if ImGuiConfigFlags_NavEnableSetMousePos is set).
ImGuiBackendFlags_RendererHasVtxOffset = 1 << 3, // Backend Renderer supports ImDrawCmd::VtxOffset. This enables output of large meshes (64K+ vertices) while still using 16-bit indices.
// [BETA] Viewports
ImGuiBackendFlags_PlatformHasViewports = 1 << 10, // Backend Platform supports multiple viewports.
ImGuiBackendFlags_HasMouseHoveredViewport=1 << 11, // Backend Platform supports calling io.AddMouseViewportEvent() with the viewport under the mouse. IF POSSIBLE, ignore viewports with the ImGuiViewportFlags_NoInputs flag (Win32 backend, GLFW 3.30+ backend can do this, SDL backend cannot). If this cannot be done, Dear ImGui needs to use a flawed heuristic to find the viewport under.
ImGuiBackendFlags_RendererHasViewports = 1 << 12, // Backend Renderer supports multiple viewports.
};
// Enumeration for PushStyleColor() / PopStyleColor()
enum ImGuiCol_
{
ImGuiCol_Text,
ImGuiCol_TextDisabled,
ImGuiCol_WindowBg, // Background of normal windows
ImGuiCol_ChildBg, // Background of child windows
ImGuiCol_PopupBg, // Background of popups, menus, tooltips windows
ImGuiCol_Border,
ImGuiCol_BorderShadow,
ImGuiCol_FrameBg, // Background of checkbox, radio button, plot, slider, text input
ImGuiCol_FrameBgHovered,
ImGuiCol_FrameBgActive,
ImGuiCol_TitleBg,
ImGuiCol_TitleBgActive,
ImGuiCol_TitleBgCollapsed,
ImGuiCol_MenuBarBg,
ImGuiCol_ScrollbarBg,
ImGuiCol_ScrollbarGrab,
ImGuiCol_ScrollbarGrabHovered,
ImGuiCol_ScrollbarGrabActive,
ImGuiCol_CheckMark,
ImGuiCol_SliderGrab,
ImGuiCol_SliderGrabActive,
ImGuiCol_Button,
ImGuiCol_ButtonHovered,
ImGuiCol_ButtonActive,
ImGuiCol_Header, // Header* colors are used for CollapsingHeader, TreeNode, Selectable, MenuItem
ImGuiCol_HeaderHovered,
ImGuiCol_HeaderActive,
ImGuiCol_Separator,
ImGuiCol_SeparatorHovered,
ImGuiCol_SeparatorActive,
ImGuiCol_ResizeGrip, // Resize grip in lower-right and lower-left corners of windows.
ImGuiCol_ResizeGripHovered,
ImGuiCol_ResizeGripActive,
ImGuiCol_Tab, // TabItem in a TabBar
ImGuiCol_TabHovered,
ImGuiCol_TabActive,
ImGuiCol_TabUnfocused,
ImGuiCol_TabUnfocusedActive,
ImGuiCol_DockingPreview, // Preview overlay color when about to docking something
ImGuiCol_DockingEmptyBg, // Background color for empty node (e.g. CentralNode with no window docked into it)
ImGuiCol_PlotLines,
ImGuiCol_PlotLinesHovered,
ImGuiCol_PlotHistogram,
ImGuiCol_PlotHistogramHovered,
ImGuiCol_TableHeaderBg, // Table header background
ImGuiCol_TableBorderStrong, // Table outer and header borders (prefer using Alpha=1.0 here)
ImGuiCol_TableBorderLight, // Table inner borders (prefer using Alpha=1.0 here)
ImGuiCol_TableRowBg, // Table row background (even rows)
ImGuiCol_TableRowBgAlt, // Table row background (odd rows)
ImGuiCol_TextSelectedBg,
ImGuiCol_DragDropTarget, // Rectangle highlighting a drop target
ImGuiCol_NavHighlight, // Gamepad/keyboard: current highlighted item
ImGuiCol_NavWindowingHighlight, // Highlight window when using CTRL+TAB
ImGuiCol_NavWindowingDimBg, // Darken/colorize entire screen behind the CTRL+TAB window list, when active
ImGuiCol_ModalWindowDimBg, // Darken/colorize entire screen behind a modal window, when one is active
ImGuiCol_COUNT
};
// Enumeration for PushStyleVar() / PopStyleVar() to temporarily modify the ImGuiStyle structure.
// - The enum only refers to fields of ImGuiStyle which makes sense to be pushed/popped inside UI code.
// During initialization or between frames, feel free to just poke into ImGuiStyle directly.
// - Tip: Use your programming IDE navigation facilities on the names in the _second column_ below to find the actual members and their description.
// In Visual Studio IDE: CTRL+comma ("Edit.GoToAll") can follow symbols in comments, whereas CTRL+F12 ("Edit.GoToImplementation") cannot.
// With Visual Assist installed: ALT+G ("VAssistX.GoToImplementation") can also follow symbols in comments.
// - When changing this enum, you need to update the associated internal table GStyleVarInfo[] accordingly. This is where we link enum values to members offset/type.
enum ImGuiStyleVar_
{
// Enum name --------------------- // Member in ImGuiStyle structure (see ImGuiStyle for descriptions)
ImGuiStyleVar_Alpha, // float Alpha
ImGuiStyleVar_DisabledAlpha, // float DisabledAlpha
ImGuiStyleVar_WindowPadding, // ImVec2 WindowPadding
ImGuiStyleVar_WindowRounding, // float WindowRounding
ImGuiStyleVar_WindowBorderSize, // float WindowBorderSize
ImGuiStyleVar_WindowMinSize, // ImVec2 WindowMinSize
ImGuiStyleVar_WindowTitleAlign, // ImVec2 WindowTitleAlign
ImGuiStyleVar_ChildRounding, // float ChildRounding
ImGuiStyleVar_ChildBorderSize, // float ChildBorderSize
ImGuiStyleVar_PopupRounding, // float PopupRounding
ImGuiStyleVar_PopupBorderSize, // float PopupBorderSize
ImGuiStyleVar_FramePadding, // ImVec2 FramePadding
ImGuiStyleVar_FrameRounding, // float FrameRounding
ImGuiStyleVar_FrameBorderSize, // float FrameBorderSize
ImGuiStyleVar_ItemSpacing, // ImVec2 ItemSpacing
ImGuiStyleVar_ItemInnerSpacing, // ImVec2 ItemInnerSpacing
ImGuiStyleVar_IndentSpacing, // float IndentSpacing
ImGuiStyleVar_CellPadding, // ImVec2 CellPadding
ImGuiStyleVar_ScrollbarSize, // float ScrollbarSize
ImGuiStyleVar_ScrollbarRounding, // float ScrollbarRounding
ImGuiStyleVar_GrabMinSize, // float GrabMinSize
ImGuiStyleVar_GrabRounding, // float GrabRounding
ImGuiStyleVar_TabRounding, // float TabRounding
ImGuiStyleVar_ButtonTextAlign, // ImVec2 ButtonTextAlign
ImGuiStyleVar_SelectableTextAlign, // ImVec2 SelectableTextAlign
ImGuiStyleVar_SeparatorTextBorderSize,// float SeparatorTextBorderSize
ImGuiStyleVar_SeparatorTextAlign, // ImVec2 SeparatorTextAlign
ImGuiStyleVar_SeparatorTextPadding,// ImVec2 SeparatorTextPadding
ImGuiStyleVar_COUNT
};
// Flags for InvisibleButton() [extended in imgui_internal.h]
enum ImGuiButtonFlags_
{
ImGuiButtonFlags_None = 0,
ImGuiButtonFlags_MouseButtonLeft = 1 << 0, // React on left mouse button (default)
ImGuiButtonFlags_MouseButtonRight = 1 << 1, // React on right mouse button
ImGuiButtonFlags_MouseButtonMiddle = 1 << 2, // React on center mouse button
// [Internal]
ImGuiButtonFlags_MouseButtonMask_ = ImGuiButtonFlags_MouseButtonLeft | ImGuiButtonFlags_MouseButtonRight | ImGuiButtonFlags_MouseButtonMiddle,
ImGuiButtonFlags_MouseButtonDefault_ = ImGuiButtonFlags_MouseButtonLeft,
};
// Flags for ColorEdit3() / ColorEdit4() / ColorPicker3() / ColorPicker4() / ColorButton()
enum ImGuiColorEditFlags_
{
ImGuiColorEditFlags_None = 0,
ImGuiColorEditFlags_NoAlpha = 1 << 1, // // ColorEdit, ColorPicker, ColorButton: ignore Alpha component (will only read 3 components from the input pointer).
ImGuiColorEditFlags_NoPicker = 1 << 2, // // ColorEdit: disable picker when clicking on color square.
ImGuiColorEditFlags_NoOptions = 1 << 3, // // ColorEdit: disable toggling options menu when right-clicking on inputs/small preview.
ImGuiColorEditFlags_NoSmallPreview = 1 << 4, // // ColorEdit, ColorPicker: disable color square preview next to the inputs. (e.g. to show only the inputs)
ImGuiColorEditFlags_NoInputs = 1 << 5, // // ColorEdit, ColorPicker: disable inputs sliders/text widgets (e.g. to show only the small preview color square).
ImGuiColorEditFlags_NoTooltip = 1 << 6, // // ColorEdit, ColorPicker, ColorButton: disable tooltip when hovering the preview.
ImGuiColorEditFlags_NoLabel = 1 << 7, // // ColorEdit, ColorPicker: disable display of inline text label (the label is still forwarded to the tooltip and picker).
ImGuiColorEditFlags_NoSidePreview = 1 << 8, // // ColorPicker: disable bigger color preview on right side of the picker, use small color square preview instead.
ImGuiColorEditFlags_NoDragDrop = 1 << 9, // // ColorEdit: disable drag and drop target. ColorButton: disable drag and drop source.
ImGuiColorEditFlags_NoBorder = 1 << 10, // // ColorButton: disable border (which is enforced by default)
// User Options (right-click on widget to change some of them).
ImGuiColorEditFlags_AlphaBar = 1 << 16, // // ColorEdit, ColorPicker: show vertical alpha bar/gradient in picker.
ImGuiColorEditFlags_AlphaPreview = 1 << 17, // // ColorEdit, ColorPicker, ColorButton: display preview as a transparent color over a checkerboard, instead of opaque.
ImGuiColorEditFlags_AlphaPreviewHalf= 1 << 18, // // ColorEdit, ColorPicker, ColorButton: display half opaque / half checkerboard, instead of opaque.
ImGuiColorEditFlags_HDR = 1 << 19, // // (WIP) ColorEdit: Currently only disable 0.0f..1.0f limits in RGBA edition (note: you probably want to use ImGuiColorEditFlags_Float flag as well).
ImGuiColorEditFlags_DisplayRGB = 1 << 20, // [Display] // ColorEdit: override _display_ type among RGB/HSV/Hex. ColorPicker: select any combination using one or more of RGB/HSV/Hex.
ImGuiColorEditFlags_DisplayHSV = 1 << 21, // [Display] // "
ImGuiColorEditFlags_DisplayHex = 1 << 22, // [Display] // "
ImGuiColorEditFlags_Uint8 = 1 << 23, // [DataType] // ColorEdit, ColorPicker, ColorButton: _display_ values formatted as 0..255.
ImGuiColorEditFlags_Float = 1 << 24, // [DataType] // ColorEdit, ColorPicker, ColorButton: _display_ values formatted as 0.0f..1.0f floats instead of 0..255 integers. No round-trip of value via integers.
ImGuiColorEditFlags_PickerHueBar = 1 << 25, // [Picker] // ColorPicker: bar for Hue, rectangle for Sat/Value.
ImGuiColorEditFlags_PickerHueWheel = 1 << 26, // [Picker] // ColorPicker: wheel for Hue, triangle for Sat/Value.
ImGuiColorEditFlags_InputRGB = 1 << 27, // [Input] // ColorEdit, ColorPicker: input and output data in RGB format.
ImGuiColorEditFlags_InputHSV = 1 << 28, // [Input] // ColorEdit, ColorPicker: input and output data in HSV format.
// Defaults Options. You can set application defaults using SetColorEditOptions(). The intent is that you probably don't want to
// override them in most of your calls. Let the user choose via the option menu and/or call SetColorEditOptions() once during startup.
ImGuiColorEditFlags_DefaultOptions_ = ImGuiColorEditFlags_Uint8 | ImGuiColorEditFlags_DisplayRGB | ImGuiColorEditFlags_InputRGB | ImGuiColorEditFlags_PickerHueBar,
// [Internal] Masks
ImGuiColorEditFlags_DisplayMask_ = ImGuiColorEditFlags_DisplayRGB | ImGuiColorEditFlags_DisplayHSV | ImGuiColorEditFlags_DisplayHex,
ImGuiColorEditFlags_DataTypeMask_ = ImGuiColorEditFlags_Uint8 | ImGuiColorEditFlags_Float,
ImGuiColorEditFlags_PickerMask_ = ImGuiColorEditFlags_PickerHueWheel | ImGuiColorEditFlags_PickerHueBar,
ImGuiColorEditFlags_InputMask_ = ImGuiColorEditFlags_InputRGB | ImGuiColorEditFlags_InputHSV,
// Obsolete names
//ImGuiColorEditFlags_RGB = ImGuiColorEditFlags_DisplayRGB, ImGuiColorEditFlags_HSV = ImGuiColorEditFlags_DisplayHSV, ImGuiColorEditFlags_HEX = ImGuiColorEditFlags_DisplayHex // [renamed in 1.69]
};
// Flags for DragFloat(), DragInt(), SliderFloat(), SliderInt() etc.
// We use the same sets of flags for DragXXX() and SliderXXX() functions as the features are the same and it makes it easier to swap them.
// (Those are per-item flags. There are shared flags in ImGuiIO: io.ConfigDragClickToInputText)
enum ImGuiSliderFlags_
{
ImGuiSliderFlags_None = 0,
ImGuiSliderFlags_AlwaysClamp = 1 << 4, // Clamp value to min/max bounds when input manually with CTRL+Click. By default CTRL+Click allows going out of bounds.
ImGuiSliderFlags_Logarithmic = 1 << 5, // Make the widget logarithmic (linear otherwise). Consider using ImGuiSliderFlags_NoRoundToFormat with this if using a format-string with small amount of digits.
ImGuiSliderFlags_NoRoundToFormat = 1 << 6, // Disable rounding underlying value to match precision of the display format string (e.g. %.3f values are rounded to those 3 digits)
ImGuiSliderFlags_NoInput = 1 << 7, // Disable CTRL+Click or Enter key allowing to input text directly into the widget
ImGuiSliderFlags_InvalidMask_ = 0x7000000F, // [Internal] We treat using those bits as being potentially a 'float power' argument from the previous API that has got miscast to this enum, and will trigger an assert if needed.
// Obsolete names
//ImGuiSliderFlags_ClampOnInput = ImGuiSliderFlags_AlwaysClamp, // [renamed in 1.79]
};
// Identify a mouse button.
// Those values are guaranteed to be stable and we frequently use 0/1 directly. Named enums provided for convenience.
enum ImGuiMouseButton_
{
ImGuiMouseButton_Left = 0,
ImGuiMouseButton_Right = 1,
ImGuiMouseButton_Middle = 2,
ImGuiMouseButton_COUNT = 5
};
// Enumeration for GetMouseCursor()
// User code may request backend to display given cursor by calling SetMouseCursor(), which is why we have some cursors that are marked unused here
enum ImGuiMouseCursor_
{
ImGuiMouseCursor_None = -1,
ImGuiMouseCursor_Arrow = 0,
ImGuiMouseCursor_TextInput, // When hovering over InputText, etc.
ImGuiMouseCursor_ResizeAll, // (Unused by Dear ImGui functions)
ImGuiMouseCursor_ResizeNS, // When hovering over a horizontal border
ImGuiMouseCursor_ResizeEW, // When hovering over a vertical border or a column
ImGuiMouseCursor_ResizeNESW, // When hovering over the bottom-left corner of a window
ImGuiMouseCursor_ResizeNWSE, // When hovering over the bottom-right corner of a window
ImGuiMouseCursor_Hand, // (Unused by Dear ImGui functions. Use for e.g. hyperlinks)
ImGuiMouseCursor_NotAllowed, // When hovering something with disallowed interaction. Usually a crossed circle.
ImGuiMouseCursor_COUNT
};
// Enumeration for AddMouseSourceEvent() actual source of Mouse Input data.
// Historically we use "Mouse" terminology everywhere to indicate pointer data, e.g. MousePos, IsMousePressed(), io.AddMousePosEvent()
// But that "Mouse" data can come from different source which occasionally may be useful for application to know about.
// You can submit a change of pointer type using io.AddMouseSourceEvent().
enum ImGuiMouseSource : int
{
ImGuiMouseSource_Mouse = 0, // Input is coming from an actual mouse.
ImGuiMouseSource_TouchScreen, // Input is coming from a touch screen (no hovering prior to initial press, less precise initial press aiming, dual-axis wheeling possible).
ImGuiMouseSource_Pen, // Input is coming from a pressure/magnetic pen (often used in conjunction with high-sampling rates).
ImGuiMouseSource_COUNT
};
// Enumeration for ImGui::SetWindow***(), SetNextWindow***(), SetNextItem***() functions
// Represent a condition.
// Important: Treat as a regular enum! Do NOT combine multiple values using binary operators! All the functions above treat 0 as a shortcut to ImGuiCond_Always.
enum ImGuiCond_
{
ImGuiCond_None = 0, // No condition (always set the variable), same as _Always
ImGuiCond_Always = 1 << 0, // No condition (always set the variable), same as _None
ImGuiCond_Once = 1 << 1, // Set the variable once per runtime session (only the first call will succeed)
ImGuiCond_FirstUseEver = 1 << 2, // Set the variable if the object/window has no persistently saved data (no entry in .ini file)
ImGuiCond_Appearing = 1 << 3, // Set the variable if the object/window is appearing after being hidden/inactive (or the first time)
};
//-----------------------------------------------------------------------------
// [SECTION] Helpers: Memory allocations macros, ImVector<>
//-----------------------------------------------------------------------------
//-----------------------------------------------------------------------------
// IM_MALLOC(), IM_FREE(), IM_NEW(), IM_PLACEMENT_NEW(), IM_DELETE()
// We call C++ constructor on own allocated memory via the placement "new(ptr) Type()" syntax.
// Defining a custom placement new() with a custom parameter allows us to bypass including <new> which on some platforms complains when user has disabled exceptions.
//-----------------------------------------------------------------------------
struct ImNewWrapper {};
inline void* operator new(size_t, ImNewWrapper, void* ptr) { return ptr; }
inline void operator delete(void*, ImNewWrapper, void*) {} // This is only required so we can use the symmetrical new()
#define IM_ALLOC(_SIZE) ImGui::MemAlloc(_SIZE)
#define IM_FREE(_PTR) ImGui::MemFree(_PTR)
#define IM_PLACEMENT_NEW(_PTR) new(ImNewWrapper(), _PTR)
#define IM_NEW(_TYPE) new(ImNewWrapper(), ImGui::MemAlloc(sizeof(_TYPE))) _TYPE
template<typename T> void IM_DELETE(T* p) { if (p) { p->~T(); ImGui::MemFree(p); } }
//-----------------------------------------------------------------------------
// ImVector<>
// Lightweight std::vector<>-like class to avoid dragging dependencies (also, some implementations of STL with debug enabled are absurdly slow, we bypass it so our code runs fast in debug).
//-----------------------------------------------------------------------------
// - You generally do NOT need to care or use this ever. But we need to make it available in imgui.h because some of our public structures are relying on it.
// - We use std-like naming convention here, which is a little unusual for this codebase.
// - Important: clear() frees memory, resize(0) keep the allocated buffer. We use resize(0) a lot to intentionally recycle allocated buffers across frames and amortize our costs.
// - Important: our implementation does NOT call C++ constructors/destructors, we treat everything as raw data! This is intentional but be extra mindful of that,
// Do NOT use this class as a std::vector replacement in your own code! Many of the structures used by dear imgui can be safely initialized by a zero-memset.
//-----------------------------------------------------------------------------
IM_MSVC_RUNTIME_CHECKS_OFF
template<typename T>
struct ImVector
{
int Size;
int Capacity;
T* Data;
// Provide standard typedefs but we don't use them ourselves.
typedef T value_type;
typedef value_type* iterator;
typedef const value_type* const_iterator;
// Constructors, destructor
inline ImVector() { Size = Capacity = 0; Data = NULL; }
inline ImVector(const ImVector<T>& src) { Size = Capacity = 0; Data = NULL; operator=(src); }
inline ImVector<T>& operator=(const ImVector<T>& src) { clear(); resize(src.Size); if (src.Data) memcpy(Data, src.Data, (size_t)Size * sizeof(T)); return *this; }
inline ~ImVector() { if (Data) IM_FREE(Data); } // Important: does not destruct anything
inline void clear() { if (Data) { Size = Capacity = 0; IM_FREE(Data); Data = NULL; } } // Important: does not destruct anything
inline void clear_delete() { for (int n = 0; n < Size; n++) IM_DELETE(Data[n]); clear(); } // Important: never called automatically! always explicit.
inline void clear_destruct() { for (int n = 0; n < Size; n++) Data[n].~T(); clear(); } // Important: never called automatically! always explicit.
inline bool empty() const { return Size == 0; }
inline int size() const { return Size; }
inline int size_in_bytes() const { return Size * (int)sizeof(T); }
inline int max_size() const { return 0x7FFFFFFF / (int)sizeof(T); }
inline int capacity() const { return Capacity; }
inline T& operator[](int i) { IM_ASSERT(i >= 0 && i < Size); return Data[i]; }
inline const T& operator[](int i) const { IM_ASSERT(i >= 0 && i < Size); return Data[i]; }
inline T* begin() { return Data; }
inline const T* begin() const { return Data; }
inline T* end() { return Data + Size; }
inline const T* end() const { return Data + Size; }
inline T& front() { IM_ASSERT(Size > 0); return Data[0]; }
inline const T& front() const { IM_ASSERT(Size > 0); return Data[0]; }
inline T& back() { IM_ASSERT(Size > 0); return Data[Size - 1]; }
inline const T& back() const { IM_ASSERT(Size > 0); return Data[Size - 1]; }
inline void swap(ImVector<T>& rhs) { int rhs_size = rhs.Size; rhs.Size = Size; Size = rhs_size; int rhs_cap = rhs.Capacity; rhs.Capacity = Capacity; Capacity = rhs_cap; T* rhs_data = rhs.Data; rhs.Data = Data; Data = rhs_data; }
inline int _grow_capacity(int sz) const { int new_capacity = Capacity ? (Capacity + Capacity / 2) : 8; return new_capacity > sz ? new_capacity : sz; }
inline void resize(int new_size) { if (new_size > Capacity) reserve(_grow_capacity(new_size)); Size = new_size; }
inline void resize(int new_size, const T& v) { if (new_size > Capacity) reserve(_grow_capacity(new_size)); if (new_size > Size) for (int n = Size; n < new_size; n++) memcpy(&Data[n], &v, sizeof(v)); Size = new_size; }
inline void shrink(int new_size) { IM_ASSERT(new_size <= Size); Size = new_size; } // Resize a vector to a smaller size, guaranteed not to cause a reallocation
inline void reserve(int new_capacity) { if (new_capacity <= Capacity) return; T* new_data = (T*)IM_ALLOC((size_t)new_capacity * sizeof(T)); if (Data) { memcpy(new_data, Data, (size_t)Size * sizeof(T)); IM_FREE(Data); } Data = new_data; Capacity = new_capacity; }
inline void reserve_discard(int new_capacity) { if (new_capacity <= Capacity) return; if (Data) IM_FREE(Data); Data = (T*)IM_ALLOC((size_t)new_capacity * sizeof(T)); Capacity = new_capacity; }
// NB: It is illegal to call push_back/push_front/insert with a reference pointing inside the ImVector data itself! e.g. v.push_back(v[10]) is forbidden.
inline void push_back(const T& v) { if (Size == Capacity) reserve(_grow_capacity(Size + 1)); memcpy(&Data[Size], &v, sizeof(v)); Size++; }
inline void pop_back() { IM_ASSERT(Size > 0); Size--; }
inline void push_front(const T& v) { if (Size == 0) push_back(v); else insert(Data, v); }
inline T* erase(const T* it) { IM_ASSERT(it >= Data && it < Data + Size); const ptrdiff_t off = it - Data; memmove(Data + off, Data + off + 1, ((size_t)Size - (size_t)off - 1) * sizeof(T)); Size--; return Data + off; }
inline T* erase(const T* it, const T* it_last){ IM_ASSERT(it >= Data && it < Data + Size && it_last >= it && it_last <= Data + Size); const ptrdiff_t count = it_last - it; const ptrdiff_t off = it - Data; memmove(Data + off, Data + off + count, ((size_t)Size - (size_t)off - (size_t)count) * sizeof(T)); Size -= (int)count; return Data + off; }
inline T* erase_unsorted(const T* it) { IM_ASSERT(it >= Data && it < Data + Size); const ptrdiff_t off = it - Data; if (it < Data + Size - 1) memcpy(Data + off, Data + Size - 1, sizeof(T)); Size--; return Data + off; }
inline T* insert(const T* it, const T& v) { IM_ASSERT(it >= Data && it <= Data + Size); const ptrdiff_t off = it - Data; if (Size == Capacity) reserve(_grow_capacity(Size + 1)); if (off < (int)Size) memmove(Data + off + 1, Data + off, ((size_t)Size - (size_t)off) * sizeof(T)); memcpy(&Data[off], &v, sizeof(v)); Size++; return Data + off; }
inline bool contains(const T& v) const { const T* data = Data; const T* data_end = Data + Size; while (data < data_end) if (*data++ == v) return true; return false; }
inline T* find(const T& v) { T* data = Data; const T* data_end = Data + Size; while (data < data_end) if (*data == v) break; else ++data; return data; }
inline const T* find(const T& v) const { const T* data = Data; const T* data_end = Data + Size; while (data < data_end) if (*data == v) break; else ++data; return data; }
inline bool find_erase(const T& v) { const T* it = find(v); if (it < Data + Size) { erase(it); return true; } return false; }
inline bool find_erase_unsorted(const T& v) { const T* it = find(v); if (it < Data + Size) { erase_unsorted(it); return true; } return false; }
inline int index_from_ptr(const T* it) const { IM_ASSERT(it >= Data && it < Data + Size); const ptrdiff_t off = it - Data; return (int)off; }
};
IM_MSVC_RUNTIME_CHECKS_RESTORE
//-----------------------------------------------------------------------------
// [SECTION] ImGuiStyle
//-----------------------------------------------------------------------------
// You may modify the ImGui::GetStyle() main instance during initialization and before NewFrame().
// During the frame, use ImGui::PushStyleVar(ImGuiStyleVar_XXXX)/PopStyleVar() to alter the main style values,
// and ImGui::PushStyleColor(ImGuiCol_XXX)/PopStyleColor() for colors.
//-----------------------------------------------------------------------------
struct ImGuiStyle
{
float Alpha; // Global alpha applies to everything in Dear ImGui.
float DisabledAlpha; // Additional alpha multiplier applied by BeginDisabled(). Multiply over current value of Alpha.
ImVec2 WindowPadding; // Padding within a window.
float WindowRounding; // Radius of window corners rounding. Set to 0.0f to have rectangular windows. Large values tend to lead to variety of artifacts and are not recommended.
float WindowBorderSize; // Thickness of border around windows. Generally set to 0.0f or 1.0f. (Other values are not well tested and more CPU/GPU costly).
ImVec2 WindowMinSize; // Minimum window size. This is a global setting. If you want to constrain individual windows, use SetNextWindowSizeConstraints().
ImVec2 WindowTitleAlign; // Alignment for title bar text. Defaults to (0.0f,0.5f) for left-aligned,vertically centered.
ImGuiDir WindowMenuButtonPosition; // Side of the collapsing/docking button in the title bar (None/Left/Right). Defaults to ImGuiDir_Left.
float ChildRounding; // Radius of child window corners rounding. Set to 0.0f to have rectangular windows.
float ChildBorderSize; // Thickness of border around child windows. Generally set to 0.0f or 1.0f. (Other values are not well tested and more CPU/GPU costly).
float PopupRounding; // Radius of popup window corners rounding. (Note that tooltip windows use WindowRounding)
float PopupBorderSize; // Thickness of border around popup/tooltip windows. Generally set to 0.0f or 1.0f. (Other values are not well tested and more CPU/GPU costly).
ImVec2 FramePadding; // Padding within a framed rectangle (used by most widgets).
float FrameRounding; // Radius of frame corners rounding. Set to 0.0f to have rectangular frame (used by most widgets).
float FrameBorderSize; // Thickness of border around frames. Generally set to 0.0f or 1.0f. (Other values are not well tested and more CPU/GPU costly).
ImVec2 ItemSpacing; // Horizontal and vertical spacing between widgets/lines.
ImVec2 ItemInnerSpacing; // Horizontal and vertical spacing between within elements of a composed widget (e.g. a slider and its label).
ImVec2 CellPadding; // Padding within a table cell
ImVec2 TouchExtraPadding; // Expand reactive bounding box for touch-based system where touch position is not accurate enough. Unfortunately we don't sort widgets so priority on overlap will always be given to the first widget. So don't grow this too much!
float IndentSpacing; // Horizontal indentation when e.g. entering a tree node. Generally == (FontSize + FramePadding.x*2).
float ColumnsMinSpacing; // Minimum horizontal spacing between two columns. Preferably > (FramePadding.x + 1).
float ScrollbarSize; // Width of the vertical scrollbar, Height of the horizontal scrollbar.
float ScrollbarRounding; // Radius of grab corners for scrollbar.
float GrabMinSize; // Minimum width/height of a grab box for slider/scrollbar.
float GrabRounding; // Radius of grabs corners rounding. Set to 0.0f to have rectangular slider grabs.
float LogSliderDeadzone; // The size in pixels of the dead-zone around zero on logarithmic sliders that cross zero.
float TabRounding; // Radius of upper corners of a tab. Set to 0.0f to have rectangular tabs.
float TabBorderSize; // Thickness of border around tabs.
float TabMinWidthForCloseButton; // Minimum width for close button to appear on an unselected tab when hovered. Set to 0.0f to always show when hovering, set to FLT_MAX to never show close button unless selected.
ImGuiDir ColorButtonPosition; // Side of the color button in the ColorEdit4 widget (left/right). Defaults to ImGuiDir_Right.
ImVec2 ButtonTextAlign; // Alignment of button text when button is larger than text. Defaults to (0.5f, 0.5f) (centered).
ImVec2 SelectableTextAlign; // Alignment of selectable text. Defaults to (0.0f, 0.0f) (top-left aligned). It's generally important to keep this left-aligned if you want to lay multiple items on a same line.
float SeparatorTextBorderSize; // Thickkness of border in SeparatorText()
ImVec2 SeparatorTextAlign; // Alignment of text within the separator. Defaults to (0.0f, 0.5f) (left aligned, center).
ImVec2 SeparatorTextPadding; // Horizontal offset of text from each edge of the separator + spacing on other axis. Generally small values. .y is recommended to be == FramePadding.y.
ImVec2 DisplayWindowPadding; // Window position are clamped to be visible within the display area or monitors by at least this amount. Only applies to regular windows.
ImVec2 DisplaySafeAreaPadding; // If you cannot see the edges of your screen (e.g. on a TV) increase the safe area padding. Apply to popups/tooltips as well regular windows. NB: Prefer configuring your TV sets correctly!
float MouseCursorScale; // Scale software rendered mouse cursor (when io.MouseDrawCursor is enabled). We apply per-monitor DPI scaling over this scale. May be removed later.
bool AntiAliasedLines; // Enable anti-aliased lines/borders. Disable if you are really tight on CPU/GPU. Latched at the beginning of the frame (copied to ImDrawList).
bool AntiAliasedLinesUseTex; // Enable anti-aliased lines/borders using textures where possible. Require backend to render with bilinear filtering (NOT point/nearest filtering). Latched at the beginning of the frame (copied to ImDrawList).
bool AntiAliasedFill; // Enable anti-aliased edges around filled shapes (rounded rectangles, circles, etc.). Disable if you are really tight on CPU/GPU. Latched at the beginning of the frame (copied to ImDrawList).
float CurveTessellationTol; // Tessellation tolerance when using PathBezierCurveTo() without a specific number of segments. Decrease for highly tessellated curves (higher quality, more polygons), increase to reduce quality.
float CircleTessellationMaxError; // Maximum error (in pixels) allowed when using AddCircle()/AddCircleFilled() or drawing rounded corner rectangles with no explicit segment count specified. Decrease for higher quality but more geometry.
ImVec4 Colors[ImGuiCol_COUNT];
IMGUI_API ImGuiStyle();
IMGUI_API void ScaleAllSizes(float scale_factor);
};
//-----------------------------------------------------------------------------
// [SECTION] ImGuiIO
//-----------------------------------------------------------------------------
// Communicate most settings and inputs/outputs to Dear ImGui using this structure.
// Access via ImGui::GetIO(). Read 'Programmer guide' section in .cpp file for general usage.
//-----------------------------------------------------------------------------
// [Internal] Storage used by IsKeyDown(), IsKeyPressed() etc functions.
// If prior to 1.87 you used io.KeysDownDuration[] (which was marked as internal), you should use GetKeyData(key)->DownDuration and *NOT* io.KeysData[key]->DownDuration.
struct ImGuiKeyData
{
bool Down; // True for if key is down
float DownDuration; // Duration the key has been down (<0.0f: not pressed, 0.0f: just pressed, >0.0f: time held)
float DownDurationPrev; // Last frame duration the key has been down
float AnalogValue; // 0.0f..1.0f for gamepad values
};
struct ImGuiIO
{
//------------------------------------------------------------------
// Configuration // Default value
//------------------------------------------------------------------
ImGuiConfigFlags ConfigFlags; // = 0 // See ImGuiConfigFlags_ enum. Set by user/application. Gamepad/keyboard navigation options, etc.
ImGuiBackendFlags BackendFlags; // = 0 // See ImGuiBackendFlags_ enum. Set by backend (imgui_impl_xxx files or custom backend) to communicate features supported by the backend.
ImVec2 DisplaySize; // <unset> // Main display size, in pixels (generally == GetMainViewport()->Size). May change every frame.
float DeltaTime; // = 1.0f/60.0f // Time elapsed since last frame, in seconds. May change every frame.
float IniSavingRate; // = 5.0f // Minimum time between saving positions/sizes to .ini file, in seconds.
const char* IniFilename; // = "imgui.ini" // Path to .ini file (important: default "imgui.ini" is relative to current working dir!). Set NULL to disable automatic .ini loading/saving or if you want to manually call LoadIniSettingsXXX() / SaveIniSettingsXXX() functions.
const char* LogFilename; // = "imgui_log.txt"// Path to .log file (default parameter to ImGui::LogToFile when no file is specified).
float MouseDoubleClickTime; // = 0.30f // Time for a double-click, in seconds.
float MouseDoubleClickMaxDist; // = 6.0f // Distance threshold to stay in to validate a double-click, in pixels.
float MouseDragThreshold; // = 6.0f // Distance threshold before considering we are dragging.
float KeyRepeatDelay; // = 0.275f // When holding a key/button, time before it starts repeating, in seconds (for buttons in Repeat mode, etc.).
float KeyRepeatRate; // = 0.050f // When holding a key/button, rate at which it repeats, in seconds.
float HoverDelayNormal; // = 0.30 sec // Delay on hovering before IsItemHovered(ImGuiHoveredFlags_DelayNormal) returns true.
float HoverDelayShort; // = 0.10 sec // Delay on hovering before IsItemHovered(ImGuiHoveredFlags_DelayShort) returns true.
void* UserData; // = NULL // Store your own data.
ImFontAtlas*Fonts; // <auto> // Font atlas: load, rasterize and pack one or more fonts into a single texture.
float FontGlobalScale; // = 1.0f // Global scale all fonts
bool FontAllowUserScaling; // = false // Allow user scaling text of individual window with CTRL+Wheel.
ImFont* FontDefault; // = NULL // Font to use on NewFrame(). Use NULL to uses Fonts->Fonts[0].
ImVec2 DisplayFramebufferScale; // = (1, 1) // For retina display or other situations where window coordinates are different from framebuffer coordinates. This generally ends up in ImDrawData::FramebufferScale.
// Docking options (when ImGuiConfigFlags_DockingEnable is set)
bool ConfigDockingNoSplit; // = false // Simplified docking mode: disable window splitting, so docking is limited to merging multiple windows together into tab-bars.
bool ConfigDockingWithShift; // = false // Enable docking with holding Shift key (reduce visual noise, allows dropping in wider space)
bool ConfigDockingAlwaysTabBar; // = false // [BETA] [FIXME: This currently creates regression with auto-sizing and general overhead] Make every single floating window display within a docking node.
bool ConfigDockingTransparentPayload;// = false // [BETA] Make window or viewport transparent when docking and only display docking boxes on the target viewport. Useful if rendering of multiple viewport cannot be synced. Best used with ConfigViewportsNoAutoMerge.
// Viewport options (when ImGuiConfigFlags_ViewportsEnable is set)
bool ConfigViewportsNoAutoMerge; // = false; // Set to make all floating imgui windows always create their own viewport. Otherwise, they are merged into the main host viewports when overlapping it. May also set ImGuiViewportFlags_NoAutoMerge on individual viewport.
bool ConfigViewportsNoTaskBarIcon; // = false // Disable default OS task bar icon flag for secondary viewports. When a viewport doesn't want a task bar icon, ImGuiViewportFlags_NoTaskBarIcon will be set on it.
bool ConfigViewportsNoDecoration; // = true // Disable default OS window decoration flag for secondary viewports. When a viewport doesn't want window decorations, ImGuiViewportFlags_NoDecoration will be set on it. Enabling decoration can create subsequent issues at OS levels (e.g. minimum window size).
bool ConfigViewportsNoDefaultParent; // = false // Disable default OS parenting to main viewport for secondary viewports. By default, viewports are marked with ParentViewportId = <main_viewport>, expecting the platform backend to setup a parent/child relationship between the OS windows (some backend may ignore this). Set to true if you want the default to be 0, then all viewports will be top-level OS windows.
// Miscellaneous options
bool MouseDrawCursor; // = false // Request ImGui to draw a mouse cursor for you (if you are on a platform without a mouse cursor). Cannot be easily renamed to 'io.ConfigXXX' because this is frequently used by backend implementations.
bool ConfigMacOSXBehaviors; // = defined(__APPLE__) // OS X style: Text editing cursor movement using Alt instead of Ctrl, Shortcuts using Cmd/Super instead of Ctrl, Line/Text Start and End using Cmd+Arrows instead of Home/End, Double click selects by word instead of selecting whole text, Multi-selection in lists uses Cmd/Super instead of Ctrl.
bool ConfigInputTrickleEventQueue; // = true // Enable input queue trickling: some types of events submitted during the same frame (e.g. button down + up) will be spread over multiple frames, improving interactions with low framerates.
bool ConfigInputTextCursorBlink; // = true // Enable blinking cursor (optional as some users consider it to be distracting).
bool ConfigInputTextEnterKeepActive; // = false // [BETA] Pressing Enter will keep item active and select contents (single-line only).
bool ConfigDragClickToInputText; // = false // [BETA] Enable turning DragXXX widgets into text input with a simple mouse click-release (without moving). Not desirable on devices without a keyboard.
bool ConfigWindowsResizeFromEdges; // = true // Enable resizing of windows from their edges and from the lower-left corner. This requires (io.BackendFlags & ImGuiBackendFlags_HasMouseCursors) because it needs mouse cursor feedback. (This used to be a per-window ImGuiWindowFlags_ResizeFromAnySide flag)
bool ConfigWindowsMoveFromTitleBarOnly; // = false // Enable allowing to move windows only when clicking on their title bar. Does not apply to windows without a title bar.
float ConfigMemoryCompactTimer; // = 60.0f // Timer (in seconds) to free transient windows/tables memory buffers when unused. Set to -1.0f to disable.
// Debug options
// - tools to test correct Begin/End and BeginChild/EndChild behaviors.
// - presently Begn()/End() and BeginChild()EndChild() needs to ALWAYS be called in tandem, regardless of return value of BeginXXX()
// this is inconsistent with other BeginXXX functions and create confusion for many users.
// - we expect to update the API eventually. In the meanwhile we provided tools to facilitate checking user-code behavior.
bool ConfigDebugBeginReturnValueOnce; // = false // First-time calls to Begin()/BeginChild() will return false. NEEDS TO BE SET AT APPLICATION BOOT TIME if you don't want to miss windows.
bool ConfigDebugBeginReturnValueLoop; // = false // Some calls to Begin()/BeginChild() will return false. Will cycle through window depths then repeat. Suggested use: add "io.ConfigDebugBeginReturnValue = io.KeyShift" in your main loop then occasionally press SHIFT. Windows should be flickering while running.
//------------------------------------------------------------------
// Platform Functions
// (the imgui_impl_xxxx backend files are setting those up for you)
//------------------------------------------------------------------
// Optional: Platform/Renderer backend name (informational only! will be displayed in About Window) + User data for backend/wrappers to store their own stuff.
const char* BackendPlatformName; // = NULL
const char* BackendRendererName; // = NULL
void* BackendPlatformUserData; // = NULL // User data for platform backend
void* BackendRendererUserData; // = NULL // User data for renderer backend
void* BackendLanguageUserData; // = NULL // User data for non C++ programming language backend
// Optional: Access OS clipboard
// (default to use native Win32 clipboard on Windows, otherwise uses a private clipboard. Override to access OS clipboard on other architectures)
const char* (*GetClipboardTextFn)(void* user_data);
void (*SetClipboardTextFn)(void* user_data, const char* text);
void* ClipboardUserData;
// Optional: Notify OS Input Method Editor of the screen position of your cursor for text input position (e.g. when using Japanese/Chinese IME on Windows)
// (default to use native imm32 api on Windows)
void (*SetPlatformImeDataFn)(ImGuiViewport* viewport, ImGuiPlatformImeData* data);
#ifndef IMGUI_DISABLE_OBSOLETE_FUNCTIONS
void* ImeWindowHandle; // = NULL // [Obsolete] Set ImGuiViewport::PlatformHandleRaw instead. Set this to your HWND to get automatic IME cursor positioning.
#else
void* _UnusedPadding; // Unused field to keep data structure the same size.
#endif
//------------------------------------------------------------------
// Input - Call before calling NewFrame()
//------------------------------------------------------------------
// Input Functions
IMGUI_API void AddKeyEvent(ImGuiKey key, bool down); // Queue a new key down/up event. Key should be "translated" (as in, generally ImGuiKey_A matches the key end-user would use to emit an 'A' character)
IMGUI_API void AddKeyAnalogEvent(ImGuiKey key, bool down, float v); // Queue a new key down/up event for analog values (e.g. ImGuiKey_Gamepad_ values). Dead-zones should be handled by the backend.
IMGUI_API void AddMousePosEvent(float x, float y); // Queue a mouse position update. Use -FLT_MAX,-FLT_MAX to signify no mouse (e.g. app not focused and not hovered)
IMGUI_API void AddMouseButtonEvent(int button, bool down); // Queue a mouse button change
IMGUI_API void AddMouseWheelEvent(float wheel_x, float wheel_y); // Queue a mouse wheel update. wheel_y<0: scroll down, wheel_y>0: scroll up, wheel_x<0: scroll right, wheel_x>0: scroll left.
IMGUI_API void AddMouseSourceEvent(ImGuiMouseSource source); // Queue a mouse source change (Mouse/TouchScreen/Pen)
IMGUI_API void AddMouseViewportEvent(ImGuiID id); // Queue a mouse hovered viewport. Requires backend to set ImGuiBackendFlags_HasMouseHoveredViewport to call this (for multi-viewport support).
IMGUI_API void AddFocusEvent(bool focused); // Queue a gain/loss of focus for the application (generally based on OS/platform focus of your window)
IMGUI_API void AddInputCharacter(unsigned int c); // Queue a new character input
IMGUI_API void AddInputCharacterUTF16(ImWchar16 c); // Queue a new character input from a UTF-16 character, it can be a surrogate
IMGUI_API void AddInputCharactersUTF8(const char* str); // Queue a new characters input from a UTF-8 string
IMGUI_API void SetKeyEventNativeData(ImGuiKey key, int native_keycode, int native_scancode, int native_legacy_index = -1); // [Optional] Specify index for legacy <1.87 IsKeyXXX() functions with native indices + specify native keycode, scancode.
IMGUI_API void SetAppAcceptingEvents(bool accepting_events); // Set master flag for accepting key/mouse/text events (default to true). Useful if you have native dialog boxes that are interrupting your application loop/refresh, and you want to disable events being queued while your app is frozen.
IMGUI_API void ClearInputCharacters(); // [Internal] Clear the text input buffer manually
IMGUI_API void ClearInputKeys(); // [Internal] Release all keys
//------------------------------------------------------------------
// Output - Updated by NewFrame() or EndFrame()/Render()
// (when reading from the io.WantCaptureMouse, io.WantCaptureKeyboard flags to dispatch your inputs, it is
// generally easier and more correct to use their state BEFORE calling NewFrame(). See FAQ for details!)
//------------------------------------------------------------------
bool WantCaptureMouse; // Set when Dear ImGui will use mouse inputs, in this case do not dispatch them to your main game/application (either way, always pass on mouse inputs to imgui). (e.g. unclicked mouse is hovering over an imgui window, widget is active, mouse was clicked over an imgui window, etc.).
bool WantCaptureKeyboard; // Set when Dear ImGui will use keyboard inputs, in this case do not dispatch them to your main game/application (either way, always pass keyboard inputs to imgui). (e.g. InputText active, or an imgui window is focused and navigation is enabled, etc.).
bool WantTextInput; // Mobile/console: when set, you may display an on-screen keyboard. This is set by Dear ImGui when it wants textual keyboard input to happen (e.g. when a InputText widget is active).
bool WantSetMousePos; // MousePos has been altered, backend should reposition mouse on next frame. Rarely used! Set only when ImGuiConfigFlags_NavEnableSetMousePos flag is enabled.
bool WantSaveIniSettings; // When manual .ini load/save is active (io.IniFilename == NULL), this will be set to notify your application that you can call SaveIniSettingsToMemory() and save yourself. Important: clear io.WantSaveIniSettings yourself after saving!
bool NavActive; // Keyboard/Gamepad navigation is currently allowed (will handle ImGuiKey_NavXXX events) = a window is focused and it doesn't use the ImGuiWindowFlags_NoNavInputs flag.
bool NavVisible; // Keyboard/Gamepad navigation is visible and allowed (will handle ImGuiKey_NavXXX events).
float Framerate; // Estimate of application framerate (rolling average over 60 frames, based on io.DeltaTime), in frame per second. Solely for convenience. Slow applications may not want to use a moving average or may want to reset underlying buffers occasionally.
int MetricsRenderVertices; // Vertices output during last call to Render()
int MetricsRenderIndices; // Indices output during last call to Render() = number of triangles * 3
int MetricsRenderWindows; // Number of visible windows
int MetricsActiveWindows; // Number of active windows
int MetricsActiveAllocations; // Number of active allocations, updated by MemAlloc/MemFree based on current context. May be off if you have multiple imgui contexts.
ImVec2 MouseDelta; // Mouse delta. Note that this is zero if either current or previous position are invalid (-FLT_MAX,-FLT_MAX), so a disappearing/reappearing mouse won't have a huge delta.
// Legacy: before 1.87, we required backend to fill io.KeyMap[] (imgui->native map) during initialization and io.KeysDown[] (native indices) every frame.
// This is still temporarily supported as a legacy feature. However the new preferred scheme is for backend to call io.AddKeyEvent().
// Old (<1.87): ImGui::IsKeyPressed(ImGui::GetIO().KeyMap[ImGuiKey_Space]) --> New (1.87+) ImGui::IsKeyPressed(ImGuiKey_Space)
#ifndef IMGUI_DISABLE_OBSOLETE_KEYIO
int KeyMap[ImGuiKey_COUNT]; // [LEGACY] Input: map of indices into the KeysDown[512] entries array which represent your "native" keyboard state. The first 512 are now unused and should be kept zero. Legacy backend will write into KeyMap[] using ImGuiKey_ indices which are always >512.
bool KeysDown[ImGuiKey_COUNT]; // [LEGACY] Input: Keyboard keys that are pressed (ideally left in the "native" order your engine has access to keyboard keys, so you can use your own defines/enums for keys). This used to be [512] sized. It is now ImGuiKey_COUNT to allow legacy io.KeysDown[GetKeyIndex(...)] to work without an overflow.
float NavInputs[ImGuiNavInput_COUNT]; // [LEGACY] Since 1.88, NavInputs[] was removed. Backends from 1.60 to 1.86 won't build. Feed gamepad inputs via io.AddKeyEvent() and ImGuiKey_GamepadXXX enums.
#endif
//------------------------------------------------------------------
// [Internal] Dear ImGui will maintain those fields. Forward compatibility not guaranteed!
//------------------------------------------------------------------
ImGuiContext* Ctx; // Parent UI context (needs to be set explicitly by parent).
// Main Input State
// (this block used to be written by backend, since 1.87 it is best to NOT write to those directly, call the AddXXX functions above instead)
// (reading from those variables is fair game, as they are extremely unlikely to be moving anywhere)
ImVec2 MousePos; // Mouse position, in pixels. Set to ImVec2(-FLT_MAX, -FLT_MAX) if mouse is unavailable (on another screen, etc.)
bool MouseDown[5]; // Mouse buttons: 0=left, 1=right, 2=middle + extras (ImGuiMouseButton_COUNT == 5). Dear ImGui mostly uses left and right buttons. Other buttons allow us to track if the mouse is being used by your application + available to user as a convenience via IsMouse** API.
float MouseWheel; // Mouse wheel Vertical: 1 unit scrolls about 5 lines text. >0 scrolls Up, <0 scrolls Down. Hold SHIFT to turn vertical scroll into horizontal scroll.
float MouseWheelH; // Mouse wheel Horizontal. >0 scrolls Left, <0 scrolls Right. Most users don't have a mouse with a horizontal wheel, may not be filled by all backends.
ImGuiMouseSource MouseSource; // Mouse actual input peripheral (Mouse/TouchScreen/Pen).
ImGuiID MouseHoveredViewport; // (Optional) Modify using io.AddMouseViewportEvent(). With multi-viewports: viewport the OS mouse is hovering. If possible _IGNORING_ viewports with the ImGuiViewportFlags_NoInputs flag is much better (few backends can handle that). Set io.BackendFlags |= ImGuiBackendFlags_HasMouseHoveredViewport if you can provide this info. If you don't imgui will infer the value using the rectangles and last focused time of the viewports it knows about (ignoring other OS windows).
bool KeyCtrl; // Keyboard modifier down: Control
bool KeyShift; // Keyboard modifier down: Shift
bool KeyAlt; // Keyboard modifier down: Alt
bool KeySuper; // Keyboard modifier down: Cmd/Super/Windows
// Other state maintained from data above + IO function calls
ImGuiKeyChord KeyMods; // Key mods flags (any of ImGuiMod_Ctrl/ImGuiMod_Shift/ImGuiMod_Alt/ImGuiMod_Super flags, same as io.KeyCtrl/KeyShift/KeyAlt/KeySuper but merged into flags. DOES NOT CONTAINS ImGuiMod_Shortcut which is pretranslated). Read-only, updated by NewFrame()
ImGuiKeyData KeysData[ImGuiKey_KeysData_SIZE]; // Key state for all known keys. Use IsKeyXXX() functions to access this.
bool WantCaptureMouseUnlessPopupClose; // Alternative to WantCaptureMouse: (WantCaptureMouse == true && WantCaptureMouseUnlessPopupClose == false) when a click over void is expected to close a popup.
ImVec2 MousePosPrev; // Previous mouse position (note that MouseDelta is not necessary == MousePos-MousePosPrev, in case either position is invalid)
ImVec2 MouseClickedPos[5]; // Position at time of clicking
double MouseClickedTime[5]; // Time of last click (used to figure out double-click)
bool MouseClicked[5]; // Mouse button went from !Down to Down (same as MouseClickedCount[x] != 0)
bool MouseDoubleClicked[5]; // Has mouse button been double-clicked? (same as MouseClickedCount[x] == 2)
ImU16 MouseClickedCount[5]; // == 0 (not clicked), == 1 (same as MouseClicked[]), == 2 (double-clicked), == 3 (triple-clicked) etc. when going from !Down to Down
ImU16 MouseClickedLastCount[5]; // Count successive number of clicks. Stays valid after mouse release. Reset after another click is done.
bool MouseReleased[5]; // Mouse button went from Down to !Down
bool MouseDownOwned[5]; // Track if button was clicked inside a dear imgui window or over void blocked by a popup. We don't request mouse capture from the application if click started outside ImGui bounds.
bool MouseDownOwnedUnlessPopupClose[5]; // Track if button was clicked inside a dear imgui window.
bool MouseWheelRequestAxisSwap; // On a non-Mac system, holding SHIFT requests WheelY to perform the equivalent of a WheelX event. On a Mac system this is already enforced by the system.
float MouseDownDuration[5]; // Duration the mouse button has been down (0.0f == just clicked)
float MouseDownDurationPrev[5]; // Previous time the mouse button has been down
ImVec2 MouseDragMaxDistanceAbs[5]; // Maximum distance, absolute, on each axis, of how much mouse has traveled from the clicking point
float MouseDragMaxDistanceSqr[5]; // Squared maximum distance of how much mouse has traveled from the clicking point (used for moving thresholds)
float PenPressure; // Touch/Pen pressure (0.0f to 1.0f, should be >0.0f only when MouseDown[0] == true). Helper storage currently unused by Dear ImGui.
bool AppFocusLost; // Only modify via AddFocusEvent()
bool AppAcceptingEvents; // Only modify via SetAppAcceptingEvents()
ImS8 BackendUsingLegacyKeyArrays; // -1: unknown, 0: using AddKeyEvent(), 1: using legacy io.KeysDown[]
bool BackendUsingLegacyNavInputArray; // 0: using AddKeyAnalogEvent(), 1: writing to legacy io.NavInputs[] directly
ImWchar16 InputQueueSurrogate; // For AddInputCharacterUTF16()
ImVector<ImWchar> InputQueueCharacters; // Queue of _characters_ input (obtained by platform backend). Fill using AddInputCharacter() helper.
IMGUI_API ImGuiIO();
};
//-----------------------------------------------------------------------------
// [SECTION] Misc data structures
//-----------------------------------------------------------------------------
// Shared state of InputText(), passed as an argument to your callback when a ImGuiInputTextFlags_Callback* flag is used.
// The callback function should return 0 by default.
// Callbacks (follow a flag name and see comments in ImGuiInputTextFlags_ declarations for more details)
// - ImGuiInputTextFlags_CallbackEdit: Callback on buffer edit (note that InputText() already returns true on edit, the callback is useful mainly to manipulate the underlying buffer while focus is active)
// - ImGuiInputTextFlags_CallbackAlways: Callback on each iteration
// - ImGuiInputTextFlags_CallbackCompletion: Callback on pressing TAB
// - ImGuiInputTextFlags_CallbackHistory: Callback on pressing Up/Down arrows
// - ImGuiInputTextFlags_CallbackCharFilter: Callback on character inputs to replace or discard them. Modify 'EventChar' to replace or discard, or return 1 in callback to discard.
// - ImGuiInputTextFlags_CallbackResize: Callback on buffer capacity changes request (beyond 'buf_size' parameter value), allowing the string to grow.
struct ImGuiInputTextCallbackData
{
ImGuiContext* Ctx; // Parent UI context
ImGuiInputTextFlags EventFlag; // One ImGuiInputTextFlags_Callback* // Read-only
ImGuiInputTextFlags Flags; // What user passed to InputText() // Read-only
void* UserData; // What user passed to InputText() // Read-only
// Arguments for the different callback events
// - To modify the text buffer in a callback, prefer using the InsertChars() / DeleteChars() function. InsertChars() will take care of calling the resize callback if necessary.
// - If you know your edits are not going to resize the underlying buffer allocation, you may modify the contents of 'Buf[]' directly. You need to update 'BufTextLen' accordingly (0 <= BufTextLen < BufSize) and set 'BufDirty'' to true so InputText can update its internal state.
ImWchar EventChar; // Character input // Read-write // [CharFilter] Replace character with another one, or set to zero to drop. return 1 is equivalent to setting EventChar=0;
ImGuiKey EventKey; // Key pressed (Up/Down/TAB) // Read-only // [Completion,History]
char* Buf; // Text buffer // Read-write // [Resize] Can replace pointer / [Completion,History,Always] Only write to pointed data, don't replace the actual pointer!
int BufTextLen; // Text length (in bytes) // Read-write // [Resize,Completion,History,Always] Exclude zero-terminator storage. In C land: == strlen(some_text), in C++ land: string.length()
int BufSize; // Buffer size (in bytes) = capacity+1 // Read-only // [Resize,Completion,History,Always] Include zero-terminator storage. In C land == ARRAYSIZE(my_char_array), in C++ land: string.capacity()+1
bool BufDirty; // Set if you modify Buf/BufTextLen! // Write // [Completion,History,Always]
int CursorPos; // // Read-write // [Completion,History,Always]
int SelectionStart; // // Read-write // [Completion,History,Always] == to SelectionEnd when no selection)
int SelectionEnd; // // Read-write // [Completion,History,Always]
// Helper functions for text manipulation.
// Use those function to benefit from the CallbackResize behaviors. Calling those function reset the selection.
IMGUI_API ImGuiInputTextCallbackData();
IMGUI_API void DeleteChars(int pos, int bytes_count);
IMGUI_API void InsertChars(int pos, const char* text, const char* text_end = NULL);
void SelectAll() { SelectionStart = 0; SelectionEnd = BufTextLen; }
void ClearSelection() { SelectionStart = SelectionEnd = BufTextLen; }
bool HasSelection() const { return SelectionStart != SelectionEnd; }
};
// Resizing callback data to apply custom constraint. As enabled by SetNextWindowSizeConstraints(). Callback is called during the next Begin().
// NB: For basic min/max size constraint on each axis you don't need to use the callback! The SetNextWindowSizeConstraints() parameters are enough.
struct ImGuiSizeCallbackData
{
void* UserData; // Read-only. What user passed to SetNextWindowSizeConstraints(). Generally store an integer or float in here (need reinterpret_cast<>).
ImVec2 Pos; // Read-only. Window position, for reference.
ImVec2 CurrentSize; // Read-only. Current window size.
ImVec2 DesiredSize; // Read-write. Desired size, based on user's mouse position. Write to this field to restrain resizing.
};
// [ALPHA] Rarely used / very advanced uses only. Use with SetNextWindowClass() and DockSpace() functions.
// Important: the content of this class is still highly WIP and likely to change and be refactored
// before we stabilize Docking features. Please be mindful if using this.
// Provide hints:
// - To the platform backend via altered viewport flags (enable/disable OS decoration, OS task bar icons, etc.)
// - To the platform backend for OS level parent/child relationships of viewport.
// - To the docking system for various options and filtering.
struct ImGuiWindowClass
{
ImGuiID ClassId; // User data. 0 = Default class (unclassed). Windows of different classes cannot be docked with each others.
ImGuiID ParentViewportId; // Hint for the platform backend. -1: use default. 0: request platform backend to not parent the platform. != 0: request platform backend to create a parent<>child relationship between the platform windows. Not conforming backends are free to e.g. parent every viewport to the main viewport or not.
ImGuiViewportFlags ViewportFlagsOverrideSet; // Viewport flags to set when a window of this class owns a viewport. This allows you to enforce OS decoration or task bar icon, override the defaults on a per-window basis.
ImGuiViewportFlags ViewportFlagsOverrideClear; // Viewport flags to clear when a window of this class owns a viewport. This allows you to enforce OS decoration or task bar icon, override the defaults on a per-window basis.
ImGuiTabItemFlags TabItemFlagsOverrideSet; // [EXPERIMENTAL] TabItem flags to set when a window of this class gets submitted into a dock node tab bar. May use with ImGuiTabItemFlags_Leading or ImGuiTabItemFlags_Trailing.
ImGuiDockNodeFlags DockNodeFlagsOverrideSet; // [EXPERIMENTAL] Dock node flags to set when a window of this class is hosted by a dock node (it doesn't have to be selected!)
bool DockingAlwaysTabBar; // Set to true to enforce single floating windows of this class always having their own docking node (equivalent of setting the global io.ConfigDockingAlwaysTabBar)
bool DockingAllowUnclassed; // Set to true to allow windows of this class to be docked/merged with an unclassed window. // FIXME-DOCK: Move to DockNodeFlags override?
ImGuiWindowClass() { memset(this, 0, sizeof(*this)); ParentViewportId = (ImGuiID)-1; DockingAllowUnclassed = true; }
};
// Data payload for Drag and Drop operations: AcceptDragDropPayload(), GetDragDropPayload()
struct ImGuiPayload
{
// Members
void* Data; // Data (copied and owned by dear imgui)
int DataSize; // Data size
// [Internal]
ImGuiID SourceId; // Source item id
ImGuiID SourceParentId; // Source parent id (if available)
int DataFrameCount; // Data timestamp
char DataType[32 + 1]; // Data type tag (short user-supplied string, 32 characters max)
bool Preview; // Set when AcceptDragDropPayload() was called and mouse has been hovering the target item (nb: handle overlapping drag targets)
bool Delivery; // Set when AcceptDragDropPayload() was called and mouse button is released over the target item.
ImGuiPayload() { Clear(); }
void Clear() { SourceId = SourceParentId = 0; Data = NULL; DataSize = 0; memset(DataType, 0, sizeof(DataType)); DataFrameCount = -1; Preview = Delivery = false; }
bool IsDataType(const char* type) const { return DataFrameCount != -1 && strcmp(type, DataType) == 0; }
bool IsPreview() const { return Preview; }
bool IsDelivery() const { return Delivery; }
};
// Sorting specification for one column of a table (sizeof == 12 bytes)
struct ImGuiTableColumnSortSpecs
{
ImGuiID ColumnUserID; // User id of the column (if specified by a TableSetupColumn() call)
ImS16 ColumnIndex; // Index of the column
ImS16 SortOrder; // Index within parent ImGuiTableSortSpecs (always stored in order starting from 0, tables sorted on a single criteria will always have a 0 here)
ImGuiSortDirection SortDirection : 8; // ImGuiSortDirection_Ascending or ImGuiSortDirection_Descending (you can use this or SortSign, whichever is more convenient for your sort function)
ImGuiTableColumnSortSpecs() { memset(this, 0, sizeof(*this)); }
};
// Sorting specifications for a table (often handling sort specs for a single column, occasionally more)
// Obtained by calling TableGetSortSpecs().
// When 'SpecsDirty == true' you can sort your data. It will be true with sorting specs have changed since last call, or the first time.
// Make sure to set 'SpecsDirty = false' after sorting, else you may wastefully sort your data every frame!
struct ImGuiTableSortSpecs
{
const ImGuiTableColumnSortSpecs* Specs; // Pointer to sort spec array.
int SpecsCount; // Sort spec count. Most often 1. May be > 1 when ImGuiTableFlags_SortMulti is enabled. May be == 0 when ImGuiTableFlags_SortTristate is enabled.
bool SpecsDirty; // Set to true when specs have changed since last time! Use this to sort again, then clear the flag.
ImGuiTableSortSpecs() { memset(this, 0, sizeof(*this)); }
};
//-----------------------------------------------------------------------------
// [SECTION] Helpers (ImGuiOnceUponAFrame, ImGuiTextFilter, ImGuiTextBuffer, ImGuiStorage, ImGuiListClipper, Math Operators, ImColor)
//-----------------------------------------------------------------------------
// Helper: Unicode defines
#define IM_UNICODE_CODEPOINT_INVALID 0xFFFD // Invalid Unicode code point (standard value).
#ifdef IMGUI_USE_WCHAR32
#define IM_UNICODE_CODEPOINT_MAX 0x10FFFF // Maximum Unicode code point supported by this build.
#else
#define IM_UNICODE_CODEPOINT_MAX 0xFFFF // Maximum Unicode code point supported by this build.
#endif
// Helper: Execute a block of code at maximum once a frame. Convenient if you want to quickly create a UI within deep-nested code that runs multiple times every frame.
// Usage: static ImGuiOnceUponAFrame oaf; if (oaf) ImGui::Text("This will be called only once per frame");
struct ImGuiOnceUponAFrame
{
ImGuiOnceUponAFrame() { RefFrame = -1; }
mutable int RefFrame;
operator bool() const { int current_frame = ImGui::GetFrameCount(); if (RefFrame == current_frame) return false; RefFrame = current_frame; return true; }
};
// Helper: Parse and apply text filters. In format "aaaaa[,bbbb][,ccccc]"
struct ImGuiTextFilter
{
IMGUI_API ImGuiTextFilter(const char* default_filter = "");
IMGUI_API bool Draw(const char* label = "Filter (inc,-exc)", float width = 0.0f); // Helper calling InputText+Build
IMGUI_API bool PassFilter(const char* text, const char* text_end = NULL) const;
IMGUI_API void Build();
void Clear() { InputBuf[0] = 0; Build(); }
bool IsActive() const { return !Filters.empty(); }
// [Internal]
struct ImGuiTextRange
{
const char* b;
const char* e;
ImGuiTextRange() { b = e = NULL; }
ImGuiTextRange(const char* _b, const char* _e) { b = _b; e = _e; }
bool empty() const { return b == e; }
IMGUI_API void split(char separator, ImVector<ImGuiTextRange>* out) const;
};
char InputBuf[256];
ImVector<ImGuiTextRange>Filters;
int CountGrep;
};
// Helper: Growable text buffer for logging/accumulating text
// (this could be called 'ImGuiTextBuilder' / 'ImGuiStringBuilder')
struct ImGuiTextBuffer
{
ImVector<char> Buf;
IMGUI_API static char EmptyString[1];
ImGuiTextBuffer() { }
inline char operator[](int i) const { IM_ASSERT(Buf.Data != NULL); return Buf.Data[i]; }
const char* begin() const { return Buf.Data ? &Buf.front() : EmptyString; }
const char* end() const { return Buf.Data ? &Buf.back() : EmptyString; } // Buf is zero-terminated, so end() will point on the zero-terminator
int size() const { return Buf.Size ? Buf.Size - 1 : 0; }
bool empty() const { return Buf.Size <= 1; }
void clear() { Buf.clear(); }
void reserve(int capacity) { Buf.reserve(capacity); }
const char* c_str() const { return Buf.Data ? Buf.Data : EmptyString; }
IMGUI_API void append(const char* str, const char* str_end = NULL);
IMGUI_API void appendf(const char* fmt, ...) IM_FMTARGS(2);
IMGUI_API void appendfv(const char* fmt, va_list args) IM_FMTLIST(2);
};
// Helper: Key->Value storage
// Typically you don't have to worry about this since a storage is held within each Window.
// We use it to e.g. store collapse state for a tree (Int 0/1)
// This is optimized for efficient lookup (dichotomy into a contiguous buffer) and rare insertion (typically tied to user interactions aka max once a frame)
// You can use it as custom user storage for temporary values. Declare your own storage if, for example:
// - You want to manipulate the open/close state of a particular sub-tree in your interface (tree node uses Int 0/1 to store their state).
// - You want to store custom debug data easily without adding or editing structures in your code (probably not efficient, but convenient)
// Types are NOT stored, so it is up to you to make sure your Key don't collide with different types.
struct ImGuiStorage
{
// [Internal]
struct ImGuiStoragePair
{
ImGuiID key;
union { int val_i; float val_f; void* val_p; };
ImGuiStoragePair(ImGuiID _key, int _val_i) { key = _key; val_i = _val_i; }
ImGuiStoragePair(ImGuiID _key, float _val_f) { key = _key; val_f = _val_f; }
ImGuiStoragePair(ImGuiID _key, void* _val_p) { key = _key; val_p = _val_p; }
};
ImVector<ImGuiStoragePair> Data;
// - Get***() functions find pair, never add/allocate. Pairs are sorted so a query is O(log N)
// - Set***() functions find pair, insertion on demand if missing.
// - Sorted insertion is costly, paid once. A typical frame shouldn't need to insert any new pair.
void Clear() { Data.clear(); }
IMGUI_API int GetInt(ImGuiID key, int default_val = 0) const;
IMGUI_API void SetInt(ImGuiID key, int val);
IMGUI_API bool GetBool(ImGuiID key, bool default_val = false) const;
IMGUI_API void SetBool(ImGuiID key, bool val);
IMGUI_API float GetFloat(ImGuiID key, float default_val = 0.0f) const;
IMGUI_API void SetFloat(ImGuiID key, float val);
IMGUI_API void* GetVoidPtr(ImGuiID key) const; // default_val is NULL
IMGUI_API void SetVoidPtr(ImGuiID key, void* val);
// - Get***Ref() functions finds pair, insert on demand if missing, return pointer. Useful if you intend to do Get+Set.
// - References are only valid until a new value is added to the storage. Calling a Set***() function or a Get***Ref() function invalidates the pointer.
// - A typical use case where this is convenient for quick hacking (e.g. add storage during a live Edit&Continue session if you can't modify existing struct)
// float* pvar = ImGui::GetFloatRef(key); ImGui::SliderFloat("var", pvar, 0, 100.0f); some_var += *pvar;
IMGUI_API int* GetIntRef(ImGuiID key, int default_val = 0);
IMGUI_API bool* GetBoolRef(ImGuiID key, bool default_val = false);
IMGUI_API float* GetFloatRef(ImGuiID key, float default_val = 0.0f);
IMGUI_API void** GetVoidPtrRef(ImGuiID key, void* default_val = NULL);
// Use on your own storage if you know only integer are being stored (open/close all tree nodes)
IMGUI_API void SetAllInt(int val);
// For quicker full rebuild of a storage (instead of an incremental one), you may add all your contents and then sort once.
IMGUI_API void BuildSortByKey();
};
// Helper: Manually clip large list of items.
// If you have lots evenly spaced items and you have random access to the list, you can perform coarse
// clipping based on visibility to only submit items that are in view.
// The clipper calculates the range of visible items and advance the cursor to compensate for the non-visible items we have skipped.
// (Dear ImGui already clip items based on their bounds but: it needs to first layout the item to do so, and generally
// fetching/submitting your own data incurs additional cost. Coarse clipping using ImGuiListClipper allows you to easily
// scale using lists with tens of thousands of items without a problem)
// Usage:
// ImGuiListClipper clipper;
// clipper.Begin(1000); // We have 1000 elements, evenly spaced.
// while (clipper.Step())
// for (int i = clipper.DisplayStart; i < clipper.DisplayEnd; i++)
// ImGui::Text("line number %d", i);
// Generally what happens is:
// - Clipper lets you process the first element (DisplayStart = 0, DisplayEnd = 1) regardless of it being visible or not.
// - User code submit that one element.
// - Clipper can measure the height of the first element
// - Clipper calculate the actual range of elements to display based on the current clipping rectangle, position the cursor before the first visible element.
// - User code submit visible elements.
// - The clipper also handles various subtleties related to keyboard/gamepad navigation, wrapping etc.
struct ImGuiListClipper
{
ImGuiContext* Ctx; // Parent UI context
int DisplayStart; // First item to display, updated by each call to Step()
int DisplayEnd; // End of items to display (exclusive)
int ItemsCount; // [Internal] Number of items
float ItemsHeight; // [Internal] Height of item after a first step and item submission can calculate it
float StartPosY; // [Internal] Cursor position at the time of Begin() or after table frozen rows are all processed
void* TempData; // [Internal] Internal data
// items_count: Use INT_MAX if you don't know how many items you have (in which case the cursor won't be advanced in the final step)
// items_height: Use -1.0f to be calculated automatically on first step. Otherwise pass in the distance between your items, typically GetTextLineHeightWithSpacing() or GetFrameHeightWithSpacing().
IMGUI_API ImGuiListClipper();
IMGUI_API ~ImGuiListClipper();
IMGUI_API void Begin(int items_count, float items_height = -1.0f);
IMGUI_API void End(); // Automatically called on the last call of Step() that returns false.
IMGUI_API bool Step(); // Call until it returns false. The DisplayStart/DisplayEnd fields will be set and you can process/draw those items.
// Call ForceDisplayRangeByIndices() before first call to Step() if you need a range of items to be displayed regardless of visibility.
IMGUI_API void ForceDisplayRangeByIndices(int item_min, int item_max); // item_max is exclusive e.g. use (42, 42+1) to make item 42 always visible BUT due to alignment/padding of certain items it is likely that an extra item may be included on either end of the display range.
#ifndef IMGUI_DISABLE_OBSOLETE_FUNCTIONS
inline ImGuiListClipper(int items_count, float items_height = -1.0f) { memset(this, 0, sizeof(*this)); ItemsCount = -1; Begin(items_count, items_height); } // [removed in 1.79]
#endif
};
// Helpers: ImVec2/ImVec4 operators
// - It is important that we are keeping those disabled by default so they don't leak in user space.
// - This is in order to allow user enabling implicit cast operators between ImVec2/ImVec4 and their own types (using IM_VEC2_CLASS_EXTRA in imconfig.h)
// - You can use '#define IMGUI_DEFINE_MATH_OPERATORS' to import our operators, provided as a courtesy.
// - We unfortunately don't have a unary- operator for ImVec2 because this would needs to be defined inside the class itself.
#ifdef IMGUI_DEFINE_MATH_OPERATORS
#define IMGUI_DEFINE_MATH_OPERATORS_IMPLEMENTED
IM_MSVC_RUNTIME_CHECKS_OFF
static inline ImVec2 operator*(const ImVec2& lhs, const float rhs) { return ImVec2(lhs.x * rhs, lhs.y * rhs); }
static inline ImVec2 operator/(const ImVec2& lhs, const float rhs) { return ImVec2(lhs.x / rhs, lhs.y / rhs); }
static inline ImVec2 operator+(const ImVec2& lhs, const ImVec2& rhs) { return ImVec2(lhs.x + rhs.x, lhs.y + rhs.y); }
static inline ImVec2 operator-(const ImVec2& lhs, const ImVec2& rhs) { return ImVec2(lhs.x - rhs.x, lhs.y - rhs.y); }
static inline ImVec2 operator*(const ImVec2& lhs, const ImVec2& rhs) { return ImVec2(lhs.x * rhs.x, lhs.y * rhs.y); }
static inline ImVec2 operator/(const ImVec2& lhs, const ImVec2& rhs) { return ImVec2(lhs.x / rhs.x, lhs.y / rhs.y); }
static inline ImVec2& operator*=(ImVec2& lhs, const float rhs) { lhs.x *= rhs; lhs.y *= rhs; return lhs; }
static inline ImVec2& operator/=(ImVec2& lhs, const float rhs) { lhs.x /= rhs; lhs.y /= rhs; return lhs; }
static inline ImVec2& operator+=(ImVec2& lhs, const ImVec2& rhs) { lhs.x += rhs.x; lhs.y += rhs.y; return lhs; }
static inline ImVec2& operator-=(ImVec2& lhs, const ImVec2& rhs) { lhs.x -= rhs.x; lhs.y -= rhs.y; return lhs; }
static inline ImVec2& operator*=(ImVec2& lhs, const ImVec2& rhs) { lhs.x *= rhs.x; lhs.y *= rhs.y; return lhs; }
static inline ImVec2& operator/=(ImVec2& lhs, const ImVec2& rhs) { lhs.x /= rhs.x; lhs.y /= rhs.y; return lhs; }
static inline ImVec4 operator+(const ImVec4& lhs, const ImVec4& rhs) { return ImVec4(lhs.x + rhs.x, lhs.y + rhs.y, lhs.z + rhs.z, lhs.w + rhs.w); }
static inline ImVec4 operator-(const ImVec4& lhs, const ImVec4& rhs) { return ImVec4(lhs.x - rhs.x, lhs.y - rhs.y, lhs.z - rhs.z, lhs.w - rhs.w); }
static inline ImVec4 operator*(const ImVec4& lhs, const ImVec4& rhs) { return ImVec4(lhs.x * rhs.x, lhs.y * rhs.y, lhs.z * rhs.z, lhs.w * rhs.w); }
IM_MSVC_RUNTIME_CHECKS_RESTORE
#endif
// Helpers macros to generate 32-bit encoded colors
// User can declare their own format by #defining the 5 _SHIFT/_MASK macros in their imconfig file.
#ifndef IM_COL32_R_SHIFT
#ifdef IMGUI_USE_BGRA_PACKED_COLOR
#define IM_COL32_R_SHIFT 16
#define IM_COL32_G_SHIFT 8
#define IM_COL32_B_SHIFT 0
#define IM_COL32_A_SHIFT 24
#define IM_COL32_A_MASK 0xFF000000
#else
#define IM_COL32_R_SHIFT 0
#define IM_COL32_G_SHIFT 8
#define IM_COL32_B_SHIFT 16
#define IM_COL32_A_SHIFT 24
#define IM_COL32_A_MASK 0xFF000000
#endif
#endif
#define IM_COL32(R,G,B,A) (((ImU32)(A)<<IM_COL32_A_SHIFT) | ((ImU32)(B)<<IM_COL32_B_SHIFT) | ((ImU32)(G)<<IM_COL32_G_SHIFT) | ((ImU32)(R)<<IM_COL32_R_SHIFT))
#define IM_COL32_WHITE IM_COL32(255,255,255,255) // Opaque white = 0xFFFFFFFF
#define IM_COL32_BLACK IM_COL32(0,0,0,255) // Opaque black
#define IM_COL32_BLACK_TRANS IM_COL32(0,0,0,0) // Transparent black = 0x00000000
// Helper: ImColor() implicitly converts colors to either ImU32 (packed 4x1 byte) or ImVec4 (4x1 float)
// Prefer using IM_COL32() macros if you want a guaranteed compile-time ImU32 for usage with ImDrawList API.
// **Avoid storing ImColor! Store either u32 of ImVec4. This is not a full-featured color class. MAY OBSOLETE.
// **None of the ImGui API are using ImColor directly but you can use it as a convenience to pass colors in either ImU32 or ImVec4 formats. Explicitly cast to ImU32 or ImVec4 if needed.
struct ImColor
{
ImVec4 Value;
constexpr ImColor() { }
constexpr ImColor(float r, float g, float b, float a = 1.0f) : Value(r, g, b, a) { }
constexpr ImColor(const ImVec4& col) : Value(col) {}
ImColor(int r, int g, int b, int a = 255) { float sc = 1.0f / 255.0f; Value.x = (float)r * sc; Value.y = (float)g * sc; Value.z = (float)b * sc; Value.w = (float)a * sc; }
ImColor(ImU32 rgba) { float sc = 1.0f / 255.0f; Value.x = (float)((rgba >> IM_COL32_R_SHIFT) & 0xFF) * sc; Value.y = (float)((rgba >> IM_COL32_G_SHIFT) & 0xFF) * sc; Value.z = (float)((rgba >> IM_COL32_B_SHIFT) & 0xFF) * sc; Value.w = (float)((rgba >> IM_COL32_A_SHIFT) & 0xFF) * sc; }
inline operator ImU32() const { return ImGui::ColorConvertFloat4ToU32(Value); }
inline operator ImVec4() const { return Value; }
// FIXME-OBSOLETE: May need to obsolete/cleanup those helpers.
inline void SetHSV(float h, float s, float v, float a = 1.0f){ ImGui::ColorConvertHSVtoRGB(h, s, v, Value.x, Value.y, Value.z); Value.w = a; }
static ImColor HSV(float h, float s, float v, float a = 1.0f) { float r, g, b; ImGui::ColorConvertHSVtoRGB(h, s, v, r, g, b); return ImColor(r, g, b, a); }
};
//-----------------------------------------------------------------------------
// [SECTION] Drawing API (ImDrawCmd, ImDrawIdx, ImDrawVert, ImDrawChannel, ImDrawListSplitter, ImDrawListFlags, ImDrawList, ImDrawData)
// Hold a series of drawing commands. The user provides a renderer for ImDrawData which essentially contains an array of ImDrawList.
//-----------------------------------------------------------------------------
// The maximum line width to bake anti-aliased textures for. Build atlas with ImFontAtlasFlags_NoBakedLines to disable baking.
#ifndef IM_DRAWLIST_TEX_LINES_WIDTH_MAX
#define IM_DRAWLIST_TEX_LINES_WIDTH_MAX (63)
#endif
// ImDrawCallback: Draw callbacks for advanced uses [configurable type: override in imconfig.h]
// NB: You most likely do NOT need to use draw callbacks just to create your own widget or customized UI rendering,
// you can poke into the draw list for that! Draw callback may be useful for example to:
// A) Change your GPU render state,
// B) render a complex 3D scene inside a UI element without an intermediate texture/render target, etc.
// The expected behavior from your rendering function is 'if (cmd.UserCallback != NULL) { cmd.UserCallback(parent_list, cmd); } else { RenderTriangles() }'
// If you want to override the signature of ImDrawCallback, you can simply use e.g. '#define ImDrawCallback MyDrawCallback' (in imconfig.h) + update rendering backend accordingly.
#ifndef ImDrawCallback
typedef void (*ImDrawCallback)(const ImDrawList* parent_list, const ImDrawCmd* cmd);
#endif
// Special Draw callback value to request renderer backend to reset the graphics/render state.
// The renderer backend needs to handle this special value, otherwise it will crash trying to call a function at this address.
// This is useful for example if you submitted callbacks which you know have altered the render state and you want it to be restored.
// It is not done by default because they are many perfectly useful way of altering render state for imgui contents (e.g. changing shader/blending settings before an Image call).
#define ImDrawCallback_ResetRenderState (ImDrawCallback)(-1)
// Typically, 1 command = 1 GPU draw call (unless command is a callback)
// - VtxOffset: When 'io.BackendFlags & ImGuiBackendFlags_RendererHasVtxOffset' is enabled,
// this fields allow us to render meshes larger than 64K vertices while keeping 16-bit indices.
// Backends made for <1.71. will typically ignore the VtxOffset fields.
// - The ClipRect/TextureId/VtxOffset fields must be contiguous as we memcmp() them together (this is asserted for).
struct ImDrawCmd
{
ImVec4 ClipRect; // 4*4 // Clipping rectangle (x1, y1, x2, y2). Subtract ImDrawData->DisplayPos to get clipping rectangle in "viewport" coordinates
ImTextureID TextureId; // 4-8 // User-provided texture ID. Set by user in ImfontAtlas::SetTexID() for fonts or passed to Image*() functions. Ignore if never using images or multiple fonts atlas.
unsigned int VtxOffset; // 4 // Start offset in vertex buffer. ImGuiBackendFlags_RendererHasVtxOffset: always 0, otherwise may be >0 to support meshes larger than 64K vertices with 16-bit indices.
unsigned int IdxOffset; // 4 // Start offset in index buffer.
unsigned int ElemCount; // 4 // Number of indices (multiple of 3) to be rendered as triangles. Vertices are stored in the callee ImDrawList's vtx_buffer[] array, indices in idx_buffer[].
ImDrawCallback UserCallback; // 4-8 // If != NULL, call the function instead of rendering the vertices. clip_rect and texture_id will be set normally.
void* UserCallbackData; // 4-8 // The draw callback code can access this.
ImDrawCmd() { memset(this, 0, sizeof(*this)); } // Also ensure our padding fields are zeroed
// Since 1.83: returns ImTextureID associated with this draw call. Warning: DO NOT assume this is always same as 'TextureId' (we will change this function for an upcoming feature)
inline ImTextureID GetTexID() const { return TextureId; }
};
// Vertex layout
#ifndef IMGUI_OVERRIDE_DRAWVERT_STRUCT_LAYOUT
struct ImDrawVert
{
ImVec2 pos;
ImVec2 uv;
ImU32 col;
};
#else
// You can override the vertex format layout by defining IMGUI_OVERRIDE_DRAWVERT_STRUCT_LAYOUT in imconfig.h
// The code expect ImVec2 pos (8 bytes), ImVec2 uv (8 bytes), ImU32 col (4 bytes), but you can re-order them or add other fields as needed to simplify integration in your engine.
// The type has to be described within the macro (you can either declare the struct or use a typedef). This is because ImVec2/ImU32 are likely not declared at the time you'd want to set your type up.
// NOTE: IMGUI DOESN'T CLEAR THE STRUCTURE AND DOESN'T CALL A CONSTRUCTOR SO ANY CUSTOM FIELD WILL BE UNINITIALIZED. IF YOU ADD EXTRA FIELDS (SUCH AS A 'Z' COORDINATES) YOU WILL NEED TO CLEAR THEM DURING RENDER OR TO IGNORE THEM.
IMGUI_OVERRIDE_DRAWVERT_STRUCT_LAYOUT;
#endif
// [Internal] For use by ImDrawList
struct ImDrawCmdHeader
{
ImVec4 ClipRect;
ImTextureID TextureId;
unsigned int VtxOffset;
};
// [Internal] For use by ImDrawListSplitter
struct ImDrawChannel
{
ImVector<ImDrawCmd> _CmdBuffer;
ImVector<ImDrawIdx> _IdxBuffer;
};
// Split/Merge functions are used to split the draw list into different layers which can be drawn into out of order.
// This is used by the Columns/Tables API, so items of each column can be batched together in a same draw call.
struct ImDrawListSplitter
{
int _Current; // Current channel number (0)
int _Count; // Number of active channels (1+)
ImVector<ImDrawChannel> _Channels; // Draw channels (not resized down so _Count might be < Channels.Size)
inline ImDrawListSplitter() { memset(this, 0, sizeof(*this)); }
inline ~ImDrawListSplitter() { ClearFreeMemory(); }
inline void Clear() { _Current = 0; _Count = 1; } // Do not clear Channels[] so our allocations are reused next frame
IMGUI_API void ClearFreeMemory();
IMGUI_API void Split(ImDrawList* draw_list, int count);
IMGUI_API void Merge(ImDrawList* draw_list);
IMGUI_API void SetCurrentChannel(ImDrawList* draw_list, int channel_idx);
};
// Flags for ImDrawList functions
// (Legacy: bit 0 must always correspond to ImDrawFlags_Closed to be backward compatible with old API using a bool. Bits 1..3 must be unused)
enum ImDrawFlags_
{
ImDrawFlags_None = 0,
ImDrawFlags_Closed = 1 << 0, // PathStroke(), AddPolyline(): specify that shape should be closed (Important: this is always == 1 for legacy reason)
ImDrawFlags_RoundCornersTopLeft = 1 << 4, // AddRect(), AddRectFilled(), PathRect(): enable rounding top-left corner only (when rounding > 0.0f, we default to all corners). Was 0x01.
ImDrawFlags_RoundCornersTopRight = 1 << 5, // AddRect(), AddRectFilled(), PathRect(): enable rounding top-right corner only (when rounding > 0.0f, we default to all corners). Was 0x02.
ImDrawFlags_RoundCornersBottomLeft = 1 << 6, // AddRect(), AddRectFilled(), PathRect(): enable rounding bottom-left corner only (when rounding > 0.0f, we default to all corners). Was 0x04.
ImDrawFlags_RoundCornersBottomRight = 1 << 7, // AddRect(), AddRectFilled(), PathRect(): enable rounding bottom-right corner only (when rounding > 0.0f, we default to all corners). Wax 0x08.
ImDrawFlags_RoundCornersNone = 1 << 8, // AddRect(), AddRectFilled(), PathRect(): disable rounding on all corners (when rounding > 0.0f). This is NOT zero, NOT an implicit flag!
ImDrawFlags_RoundCornersTop = ImDrawFlags_RoundCornersTopLeft | ImDrawFlags_RoundCornersTopRight,
ImDrawFlags_RoundCornersBottom = ImDrawFlags_RoundCornersBottomLeft | ImDrawFlags_RoundCornersBottomRight,
ImDrawFlags_RoundCornersLeft = ImDrawFlags_RoundCornersBottomLeft | ImDrawFlags_RoundCornersTopLeft,
ImDrawFlags_RoundCornersRight = ImDrawFlags_RoundCornersBottomRight | ImDrawFlags_RoundCornersTopRight,
ImDrawFlags_RoundCornersAll = ImDrawFlags_RoundCornersTopLeft | ImDrawFlags_RoundCornersTopRight | ImDrawFlags_RoundCornersBottomLeft | ImDrawFlags_RoundCornersBottomRight,
ImDrawFlags_RoundCornersDefault_ = ImDrawFlags_RoundCornersAll, // Default to ALL corners if none of the _RoundCornersXX flags are specified.
ImDrawFlags_RoundCornersMask_ = ImDrawFlags_RoundCornersAll | ImDrawFlags_RoundCornersNone,
};
// Flags for ImDrawList instance. Those are set automatically by ImGui:: functions from ImGuiIO settings, and generally not manipulated directly.
// It is however possible to temporarily alter flags between calls to ImDrawList:: functions.
enum ImDrawListFlags_
{
ImDrawListFlags_None = 0,
ImDrawListFlags_AntiAliasedLines = 1 << 0, // Enable anti-aliased lines/borders (*2 the number of triangles for 1.0f wide line or lines thin enough to be drawn using textures, otherwise *3 the number of triangles)
ImDrawListFlags_AntiAliasedLinesUseTex = 1 << 1, // Enable anti-aliased lines/borders using textures when possible. Require backend to render with bilinear filtering (NOT point/nearest filtering).
ImDrawListFlags_AntiAliasedFill = 1 << 2, // Enable anti-aliased edge around filled shapes (rounded rectangles, circles).
ImDrawListFlags_AllowVtxOffset = 1 << 3, // Can emit 'VtxOffset > 0' to allow large meshes. Set when 'ImGuiBackendFlags_RendererHasVtxOffset' is enabled.
};
// Draw command list
// This is the low-level list of polygons that ImGui:: functions are filling. At the end of the frame,
// all command lists are passed to your ImGuiIO::RenderDrawListFn function for rendering.
// Each dear imgui window contains its own ImDrawList. You can use ImGui::GetWindowDrawList() to
// access the current window draw list and draw custom primitives.
// You can interleave normal ImGui:: calls and adding primitives to the current draw list.
// In single viewport mode, top-left is == GetMainViewport()->Pos (generally 0,0), bottom-right is == GetMainViewport()->Pos+Size (generally io.DisplaySize).
// You are totally free to apply whatever transformation matrix to want to the data (depending on the use of the transformation you may want to apply it to ClipRect as well!)
// Important: Primitives are always added to the list and not culled (culling is done at higher-level by ImGui:: functions), if you use this API a lot consider coarse culling your drawn objects.
struct ImDrawList
{
// This is what you have to render
ImVector<ImDrawCmd> CmdBuffer; // Draw commands. Typically 1 command = 1 GPU draw call, unless the command is a callback.
ImVector<ImDrawIdx> IdxBuffer; // Index buffer. Each command consume ImDrawCmd::ElemCount of those
ImVector<ImDrawVert> VtxBuffer; // Vertex buffer.
ImDrawListFlags Flags; // Flags, you may poke into these to adjust anti-aliasing settings per-primitive.
// [Internal, used while building lists]
unsigned int _VtxCurrentIdx; // [Internal] generally == VtxBuffer.Size unless we are past 64K vertices, in which case this gets reset to 0.
ImDrawListSharedData* _Data; // Pointer to shared draw data (you can use ImGui::GetDrawListSharedData() to get the one from current ImGui context)
const char* _OwnerName; // Pointer to owner window's name for debugging
ImDrawVert* _VtxWritePtr; // [Internal] point within VtxBuffer.Data after each add command (to avoid using the ImVector<> operators too much)
ImDrawIdx* _IdxWritePtr; // [Internal] point within IdxBuffer.Data after each add command (to avoid using the ImVector<> operators too much)
ImVector<ImVec4> _ClipRectStack; // [Internal]
ImVector<ImTextureID> _TextureIdStack; // [Internal]
ImVector<ImVec2> _Path; // [Internal] current path building
ImDrawCmdHeader _CmdHeader; // [Internal] template of active commands. Fields should match those of CmdBuffer.back().
ImDrawListSplitter _Splitter; // [Internal] for channels api (note: prefer using your own persistent instance of ImDrawListSplitter!)
float _FringeScale; // [Internal] anti-alias fringe is scaled by this value, this helps to keep things sharp while zooming at vertex buffer content
// If you want to create ImDrawList instances, pass them ImGui::GetDrawListSharedData() or create and use your own ImDrawListSharedData (so you can use ImDrawList without ImGui)
ImDrawList(ImDrawListSharedData* shared_data) { memset(this, 0, sizeof(*this)); _Data = shared_data; }
~ImDrawList() { _ClearFreeMemory(); }
IMGUI_API void PushClipRect(const ImVec2& clip_rect_min, const ImVec2& clip_rect_max, bool intersect_with_current_clip_rect = false); // Render-level scissoring. This is passed down to your render function but not used for CPU-side coarse clipping. Prefer using higher-level ImGui::PushClipRect() to affect logic (hit-testing and widget culling)
IMGUI_API void PushClipRectFullScreen();
IMGUI_API void PopClipRect();
IMGUI_API void PushTextureID(ImTextureID texture_id);
IMGUI_API void PopTextureID();
inline ImVec2 GetClipRectMin() const { const ImVec4& cr = _ClipRectStack.back(); return ImVec2(cr.x, cr.y); }
inline ImVec2 GetClipRectMax() const { const ImVec4& cr = _ClipRectStack.back(); return ImVec2(cr.z, cr.w); }
// Primitives
// - Filled shapes must always use clockwise winding order. The anti-aliasing fringe depends on it. Counter-clockwise shapes will have "inward" anti-aliasing.
// - For rectangular primitives, "p_min" and "p_max" represent the upper-left and lower-right corners.
// - For circle primitives, use "num_segments == 0" to automatically calculate tessellation (preferred).
// In older versions (until Dear ImGui 1.77) the AddCircle functions defaulted to num_segments == 12.
// In future versions we will use textures to provide cheaper and higher-quality circles.
// Use AddNgon() and AddNgonFilled() functions if you need to guarantee a specific number of sides.
IMGUI_API void AddLine(const ImVec2& p1, const ImVec2& p2, ImU32 col, float thickness = 1.0f);
IMGUI_API void AddRect(const ImVec2& p_min, const ImVec2& p_max, ImU32 col, float rounding = 0.0f, ImDrawFlags flags = 0, float thickness = 1.0f); // a: upper-left, b: lower-right (== upper-left + size)
IMGUI_API void AddRectFilled(const ImVec2& p_min, const ImVec2& p_max, ImU32 col, float rounding = 0.0f, ImDrawFlags flags = 0); // a: upper-left, b: lower-right (== upper-left + size)
IMGUI_API void AddRectFilledMultiColor(const ImVec2& p_min, const ImVec2& p_max, ImU32 col_upr_left, ImU32 col_upr_right, ImU32 col_bot_right, ImU32 col_bot_left);
IMGUI_API void AddQuad(const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, const ImVec2& p4, ImU32 col, float thickness = 1.0f);
IMGUI_API void AddQuadFilled(const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, const ImVec2& p4, ImU32 col);
IMGUI_API void AddTriangle(const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, ImU32 col, float thickness = 1.0f);
IMGUI_API void AddTriangleFilled(const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, ImU32 col);
IMGUI_API void AddCircle(const ImVec2& center, float radius, ImU32 col, int num_segments = 0, float thickness = 1.0f);
IMGUI_API void AddCircleFilled(const ImVec2& center, float radius, ImU32 col, int num_segments = 0);
IMGUI_API void AddNgon(const ImVec2& center, float radius, ImU32 col, int num_segments, float thickness = 1.0f);
IMGUI_API void AddNgonFilled(const ImVec2& center, float radius, ImU32 col, int num_segments);
IMGUI_API void AddText(const ImVec2& pos, ImU32 col, const char* text_begin, const char* text_end = NULL);
IMGUI_API void AddText(const ImFont* font, float font_size, const ImVec2& pos, ImU32 col, const char* text_begin, const char* text_end = NULL, float wrap_width = 0.0f, const ImVec4* cpu_fine_clip_rect = NULL);
IMGUI_API void AddPolyline(const ImVec2* points, int num_points, ImU32 col, ImDrawFlags flags, float thickness);
IMGUI_API void AddConvexPolyFilled(const ImVec2* points, int num_points, ImU32 col);
IMGUI_API void AddBezierCubic(const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, const ImVec2& p4, ImU32 col, float thickness, int num_segments = 0); // Cubic Bezier (4 control points)
IMGUI_API void AddBezierQuadratic(const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, ImU32 col, float thickness, int num_segments = 0); // Quadratic Bezier (3 control points)
// Image primitives
// - Read FAQ to understand what ImTextureID is.
// - "p_min" and "p_max" represent the upper-left and lower-right corners of the rectangle.
// - "uv_min" and "uv_max" represent the normalized texture coordinates to use for those corners. Using (0,0)->(1,1) texture coordinates will generally display the entire texture.
IMGUI_API void AddImage(ImTextureID user_texture_id, const ImVec2& p_min, const ImVec2& p_max, const ImVec2& uv_min = ImVec2(0, 0), const ImVec2& uv_max = ImVec2(1, 1), ImU32 col = IM_COL32_WHITE);
IMGUI_API void AddImageQuad(ImTextureID user_texture_id, const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, const ImVec2& p4, const ImVec2& uv1 = ImVec2(0, 0), const ImVec2& uv2 = ImVec2(1, 0), const ImVec2& uv3 = ImVec2(1, 1), const ImVec2& uv4 = ImVec2(0, 1), ImU32 col = IM_COL32_WHITE);
IMGUI_API void AddImageRounded(ImTextureID user_texture_id, const ImVec2& p_min, const ImVec2& p_max, const ImVec2& uv_min, const ImVec2& uv_max, ImU32 col, float rounding, ImDrawFlags flags = 0);
// Stateful path API, add points then finish with PathFillConvex() or PathStroke()
// - Filled shapes must always use clockwise winding order. The anti-aliasing fringe depends on it. Counter-clockwise shapes will have "inward" anti-aliasing.
inline void PathClear() { _Path.Size = 0; }
inline void PathLineTo(const ImVec2& pos) { _Path.push_back(pos); }
inline void PathLineToMergeDuplicate(const ImVec2& pos) { if (_Path.Size == 0 || memcmp(&_Path.Data[_Path.Size - 1], &pos, 8) != 0) _Path.push_back(pos); }
inline void PathFillConvex(ImU32 col) { AddConvexPolyFilled(_Path.Data, _Path.Size, col); _Path.Size = 0; }
inline void PathStroke(ImU32 col, ImDrawFlags flags = 0, float thickness = 1.0f) { AddPolyline(_Path.Data, _Path.Size, col, flags, thickness); _Path.Size = 0; }
IMGUI_API void PathArcTo(const ImVec2& center, float radius, float a_min, float a_max, int num_segments = 0);
IMGUI_API void PathArcToFast(const ImVec2& center, float radius, int a_min_of_12, int a_max_of_12); // Use precomputed angles for a 12 steps circle
IMGUI_API void PathBezierCubicCurveTo(const ImVec2& p2, const ImVec2& p3, const ImVec2& p4, int num_segments = 0); // Cubic Bezier (4 control points)
IMGUI_API void PathBezierQuadraticCurveTo(const ImVec2& p2, const ImVec2& p3, int num_segments = 0); // Quadratic Bezier (3 control points)
IMGUI_API void PathRect(const ImVec2& rect_min, const ImVec2& rect_max, float rounding = 0.0f, ImDrawFlags flags = 0);
// Advanced
IMGUI_API void AddCallback(ImDrawCallback callback, void* callback_data); // Your rendering function must check for 'UserCallback' in ImDrawCmd and call the function instead of rendering triangles.
IMGUI_API void AddDrawCmd(); // This is useful if you need to forcefully create a new draw call (to allow for dependent rendering / blending). Otherwise primitives are merged into the same draw-call as much as possible
IMGUI_API ImDrawList* CloneOutput() const; // Create a clone of the CmdBuffer/IdxBuffer/VtxBuffer.
// Advanced: Channels
// - Use to split render into layers. By switching channels to can render out-of-order (e.g. submit FG primitives before BG primitives)
// - Use to minimize draw calls (e.g. if going back-and-forth between multiple clipping rectangles, prefer to append into separate channels then merge at the end)
// - FIXME-OBSOLETE: This API shouldn't have been in ImDrawList in the first place!
// Prefer using your own persistent instance of ImDrawListSplitter as you can stack them.
// Using the ImDrawList::ChannelsXXXX you cannot stack a split over another.
inline void ChannelsSplit(int count) { _Splitter.Split(this, count); }
inline void ChannelsMerge() { _Splitter.Merge(this); }
inline void ChannelsSetCurrent(int n) { _Splitter.SetCurrentChannel(this, n); }
// Advanced: Primitives allocations
// - We render triangles (three vertices)
// - All primitives needs to be reserved via PrimReserve() beforehand.
IMGUI_API void PrimReserve(int idx_count, int vtx_count);
IMGUI_API void PrimUnreserve(int idx_count, int vtx_count);
IMGUI_API void PrimRect(const ImVec2& a, const ImVec2& b, ImU32 col); // Axis aligned rectangle (composed of two triangles)
IMGUI_API void PrimRectUV(const ImVec2& a, const ImVec2& b, const ImVec2& uv_a, const ImVec2& uv_b, ImU32 col);
IMGUI_API void PrimQuadUV(const ImVec2& a, const ImVec2& b, const ImVec2& c, const ImVec2& d, const ImVec2& uv_a, const ImVec2& uv_b, const ImVec2& uv_c, const ImVec2& uv_d, ImU32 col);
inline void PrimWriteVtx(const ImVec2& pos, const ImVec2& uv, ImU32 col) { _VtxWritePtr->pos = pos; _VtxWritePtr->uv = uv; _VtxWritePtr->col = col; _VtxWritePtr++; _VtxCurrentIdx++; }
inline void PrimWriteIdx(ImDrawIdx idx) { *_IdxWritePtr = idx; _IdxWritePtr++; }
inline void PrimVtx(const ImVec2& pos, const ImVec2& uv, ImU32 col) { PrimWriteIdx((ImDrawIdx)_VtxCurrentIdx); PrimWriteVtx(pos, uv, col); } // Write vertex with unique index
// Obsolete names
//inline void AddBezierCurve(const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, const ImVec2& p4, ImU32 col, float thickness, int num_segments = 0) { AddBezierCubic(p1, p2, p3, p4, col, thickness, num_segments); } // OBSOLETED in 1.80 (Jan 2021)
//inline void PathBezierCurveTo(const ImVec2& p2, const ImVec2& p3, const ImVec2& p4, int num_segments = 0) { PathBezierCubicCurveTo(p2, p3, p4, num_segments); } // OBSOLETED in 1.80 (Jan 2021)
// [Internal helpers]
IMGUI_API void _ResetForNewFrame();
IMGUI_API void _ClearFreeMemory();
IMGUI_API void _PopUnusedDrawCmd();
IMGUI_API void _TryMergeDrawCmds();
IMGUI_API void _OnChangedClipRect();
IMGUI_API void _OnChangedTextureID();
IMGUI_API void _OnChangedVtxOffset();
IMGUI_API int _CalcCircleAutoSegmentCount(float radius) const;
IMGUI_API void _PathArcToFastEx(const ImVec2& center, float radius, int a_min_sample, int a_max_sample, int a_step);
IMGUI_API void _PathArcToN(const ImVec2& center, float radius, float a_min, float a_max, int num_segments);
};
// All draw data to render a Dear ImGui frame
// (NB: the style and the naming convention here is a little inconsistent, we currently preserve them for backward compatibility purpose,
// as this is one of the oldest structure exposed by the library! Basically, ImDrawList == CmdList)
struct ImDrawData
{
bool Valid; // Only valid after Render() is called and before the next NewFrame() is called.
int CmdListsCount; // Number of ImDrawList* to render
int TotalIdxCount; // For convenience, sum of all ImDrawList's IdxBuffer.Size
int TotalVtxCount; // For convenience, sum of all ImDrawList's VtxBuffer.Size
ImDrawList** CmdLists; // Array of ImDrawList* to render. The ImDrawList are owned by ImGuiContext and only pointed to from here.
ImVec2 DisplayPos; // Top-left position of the viewport to render (== top-left of the orthogonal projection matrix to use) (== GetMainViewport()->Pos for the main viewport, == (0.0) in most single-viewport applications)
ImVec2 DisplaySize; // Size of the viewport to render (== GetMainViewport()->Size for the main viewport, == io.DisplaySize in most single-viewport applications)
ImVec2 FramebufferScale; // Amount of pixels for each unit of DisplaySize. Based on io.DisplayFramebufferScale. Generally (1,1) on normal display, (2,2) on OSX with Retina display.
ImGuiViewport* OwnerViewport; // Viewport carrying the ImDrawData instance, might be of use to the renderer (generally not).
// Functions
ImDrawData() { Clear(); }
void Clear() { memset(this, 0, sizeof(*this)); } // The ImDrawList are owned by ImGuiContext!
IMGUI_API void DeIndexAllBuffers(); // Helper to convert all buffers from indexed to non-indexed, in case you cannot render indexed. Note: this is slow and most likely a waste of resources. Always prefer indexed rendering!
IMGUI_API void ScaleClipRects(const ImVec2& fb_scale); // Helper to scale the ClipRect field of each ImDrawCmd. Use if your final output buffer is at a different scale than Dear ImGui expects, or if there is a difference between your window resolution and framebuffer resolution.
};
//-----------------------------------------------------------------------------
// [SECTION] Font API (ImFontConfig, ImFontGlyph, ImFontAtlasFlags, ImFontAtlas, ImFontGlyphRangesBuilder, ImFont)
//-----------------------------------------------------------------------------
struct ImFontConfig
{
void* FontData; // // TTF/OTF data
int FontDataSize; // // TTF/OTF data size
bool FontDataOwnedByAtlas; // true // TTF/OTF data ownership taken by the container ImFontAtlas (will delete memory itself).
int FontNo; // 0 // Index of font within TTF/OTF file
float SizePixels; // // Size in pixels for rasterizer (more or less maps to the resulting font height).
int OversampleH; // 3 // Rasterize at higher quality for sub-pixel positioning. Note the difference between 2 and 3 is minimal so you can reduce this to 2 to save memory. Read https://github.com/nothings/stb/blob/master/tests/oversample/README.md for details.
int OversampleV; // 1 // Rasterize at higher quality for sub-pixel positioning. This is not really useful as we don't use sub-pixel positions on the Y axis.
bool PixelSnapH; // false // Align every glyph to pixel boundary. Useful e.g. if you are merging a non-pixel aligned font with the default font. If enabled, you can set OversampleH/V to 1.
ImVec2 GlyphExtraSpacing; // 0, 0 // Extra spacing (in pixels) between glyphs. Only X axis is supported for now.
ImVec2 GlyphOffset; // 0, 0 // Offset all glyphs from this font input.
const ImWchar* GlyphRanges; // NULL // THE ARRAY DATA NEEDS TO PERSIST AS LONG AS THE FONT IS ALIVE. Pointer to a user-provided list of Unicode range (2 value per range, values are inclusive, zero-terminated list).
float GlyphMinAdvanceX; // 0 // Minimum AdvanceX for glyphs, set Min to align font icons, set both Min/Max to enforce mono-space font
float GlyphMaxAdvanceX; // FLT_MAX // Maximum AdvanceX for glyphs
bool MergeMode; // false // Merge into previous ImFont, so you can combine multiple inputs font into one ImFont (e.g. ASCII font + icons + Japanese glyphs). You may want to use GlyphOffset.y when merge font of different heights.
unsigned int FontBuilderFlags; // 0 // Settings for custom font builder. THIS IS BUILDER IMPLEMENTATION DEPENDENT. Leave as zero if unsure.
float RasterizerMultiply; // 1.0f // Brighten (>1.0f) or darken (<1.0f) font output. Brightening small fonts may be a good workaround to make them more readable.
ImWchar EllipsisChar; // -1 // Explicitly specify unicode codepoint of ellipsis character. When fonts are being merged first specified ellipsis will be used.
// [Internal]
char Name[40]; // Name (strictly to ease debugging)
ImFont* DstFont;
IMGUI_API ImFontConfig();
};
// Hold rendering data for one glyph.
// (Note: some language parsers may fail to convert the 31+1 bitfield members, in this case maybe drop store a single u32 or we can rework this)
struct ImFontGlyph
{
unsigned int Colored : 1; // Flag to indicate glyph is colored and should generally ignore tinting (make it usable with no shift on little-endian as this is used in loops)
unsigned int Visible : 1; // Flag to indicate glyph has no visible pixels (e.g. space). Allow early out when rendering.
unsigned int Codepoint : 30; // 0x0000..0x10FFFF
float AdvanceX; // Distance to next character (= data from font + ImFontConfig::GlyphExtraSpacing.x baked in)
float X0, Y0, X1, Y1; // Glyph corners
float U0, V0, U1, V1; // Texture coordinates
};
// Helper to build glyph ranges from text/string data. Feed your application strings/characters to it then call BuildRanges().
// This is essentially a tightly packed of vector of 64k booleans = 8KB storage.
struct ImFontGlyphRangesBuilder
{
ImVector<ImU32> UsedChars; // Store 1-bit per Unicode code point (0=unused, 1=used)
ImFontGlyphRangesBuilder() { Clear(); }
inline void Clear() { int size_in_bytes = (IM_UNICODE_CODEPOINT_MAX + 1) / 8; UsedChars.resize(size_in_bytes / (int)sizeof(ImU32)); memset(UsedChars.Data, 0, (size_t)size_in_bytes); }
inline bool GetBit(size_t n) const { int off = (int)(n >> 5); ImU32 mask = 1u << (n & 31); return (UsedChars[off] & mask) != 0; } // Get bit n in the array
inline void SetBit(size_t n) { int off = (int)(n >> 5); ImU32 mask = 1u << (n & 31); UsedChars[off] |= mask; } // Set bit n in the array
inline void AddChar(ImWchar c) { SetBit(c); } // Add character
IMGUI_API void AddText(const char* text, const char* text_end = NULL); // Add string (each character of the UTF-8 string are added)
IMGUI_API void AddRanges(const ImWchar* ranges); // Add ranges, e.g. builder.AddRanges(ImFontAtlas::GetGlyphRangesDefault()) to force add all of ASCII/Latin+Ext
IMGUI_API void BuildRanges(ImVector<ImWchar>* out_ranges); // Output new ranges
};
// See ImFontAtlas::AddCustomRectXXX functions.
struct ImFontAtlasCustomRect
{
unsigned short Width, Height; // Input // Desired rectangle dimension
unsigned short X, Y; // Output // Packed position in Atlas
unsigned int GlyphID; // Input // For custom font glyphs only (ID < 0x110000)
float GlyphAdvanceX; // Input // For custom font glyphs only: glyph xadvance
ImVec2 GlyphOffset; // Input // For custom font glyphs only: glyph display offset
ImFont* Font; // Input // For custom font glyphs only: target font
ImFontAtlasCustomRect() { Width = Height = 0; X = Y = 0xFFFF; GlyphID = 0; GlyphAdvanceX = 0.0f; GlyphOffset = ImVec2(0, 0); Font = NULL; }
bool IsPacked() const { return X != 0xFFFF; }
};
// Flags for ImFontAtlas build
enum ImFontAtlasFlags_
{
ImFontAtlasFlags_None = 0,
ImFontAtlasFlags_NoPowerOfTwoHeight = 1 << 0, // Don't round the height to next power of two
ImFontAtlasFlags_NoMouseCursors = 1 << 1, // Don't build software mouse cursors into the atlas (save a little texture memory)
ImFontAtlasFlags_NoBakedLines = 1 << 2, // Don't build thick line textures into the atlas (save a little texture memory, allow support for point/nearest filtering). The AntiAliasedLinesUseTex features uses them, otherwise they will be rendered using polygons (more expensive for CPU/GPU).
};
// Load and rasterize multiple TTF/OTF fonts into a same texture. The font atlas will build a single texture holding:
// - One or more fonts.
// - Custom graphics data needed to render the shapes needed by Dear ImGui.
// - Mouse cursor shapes for software cursor rendering (unless setting 'Flags |= ImFontAtlasFlags_NoMouseCursors' in the font atlas).
// It is the user-code responsibility to setup/build the atlas, then upload the pixel data into a texture accessible by your graphics api.
// - Optionally, call any of the AddFont*** functions. If you don't call any, the default font embedded in the code will be loaded for you.
// - Call GetTexDataAsAlpha8() or GetTexDataAsRGBA32() to build and retrieve pixels data.
// - Upload the pixels data into a texture within your graphics system (see imgui_impl_xxxx.cpp examples)
// - Call SetTexID(my_tex_id); and pass the pointer/identifier to your texture in a format natural to your graphics API.
// This value will be passed back to you during rendering to identify the texture. Read FAQ entry about ImTextureID for more details.
// Common pitfalls:
// - If you pass a 'glyph_ranges' array to AddFont*** functions, you need to make sure that your array persist up until the
// atlas is build (when calling GetTexData*** or Build()). We only copy the pointer, not the data.
// - Important: By default, AddFontFromMemoryTTF() takes ownership of the data. Even though we are not writing to it, we will free the pointer on destruction.
// You can set font_cfg->FontDataOwnedByAtlas=false to keep ownership of your data and it won't be freed,
// - Even though many functions are suffixed with "TTF", OTF data is supported just as well.
// - This is an old API and it is currently awkward for those and various other reasons! We will address them in the future!
struct ImFontAtlas
{
IMGUI_API ImFontAtlas();
IMGUI_API ~ImFontAtlas();
IMGUI_API ImFont* AddFont(const ImFontConfig* font_cfg);
IMGUI_API ImFont* AddFontDefault(const ImFontConfig* font_cfg = NULL);
IMGUI_API ImFont* AddFontFromFileTTF(const char* filename, float size_pixels, const ImFontConfig* font_cfg = NULL, const ImWchar* glyph_ranges = NULL);
IMGUI_API ImFont* AddFontFromMemoryTTF(void* font_data, int font_size, float size_pixels, const ImFontConfig* font_cfg = NULL, const ImWchar* glyph_ranges = NULL); // Note: Transfer ownership of 'ttf_data' to ImFontAtlas! Will be deleted after destruction of the atlas. Set font_cfg->FontDataOwnedByAtlas=false to keep ownership of your data and it won't be freed.
IMGUI_API ImFont* AddFontFromMemoryCompressedTTF(const void* compressed_font_data, int compressed_font_size, float size_pixels, const ImFontConfig* font_cfg = NULL, const ImWchar* glyph_ranges = NULL); // 'compressed_font_data' still owned by caller. Compress with binary_to_compressed_c.cpp.
IMGUI_API ImFont* AddFontFromMemoryCompressedBase85TTF(const char* compressed_font_data_base85, float size_pixels, const ImFontConfig* font_cfg = NULL, const ImWchar* glyph_ranges = NULL); // 'compressed_font_data_base85' still owned by caller. Compress with binary_to_compressed_c.cpp with -base85 parameter.
IMGUI_API void ClearInputData(); // Clear input data (all ImFontConfig structures including sizes, TTF data, glyph ranges, etc.) = all the data used to build the texture and fonts.
IMGUI_API void ClearTexData(); // Clear output texture data (CPU side). Saves RAM once the texture has been copied to graphics memory.
IMGUI_API void ClearFonts(); // Clear output font data (glyphs storage, UV coordinates).
IMGUI_API void Clear(); // Clear all input and output.
// Build atlas, retrieve pixel data.
// User is in charge of copying the pixels into graphics memory (e.g. create a texture with your engine). Then store your texture handle with SetTexID().
// The pitch is always = Width * BytesPerPixels (1 or 4)
// Building in RGBA32 format is provided for convenience and compatibility, but note that unless you manually manipulate or copy color data into
// the texture (e.g. when using the AddCustomRect*** api), then the RGB pixels emitted will always be white (~75% of memory/bandwidth waste.
IMGUI_API bool Build(); // Build pixels data. This is called automatically for you by the GetTexData*** functions.
IMGUI_API void GetTexDataAsAlpha8(unsigned char** out_pixels, int* out_width, int* out_height, int* out_bytes_per_pixel = NULL); // 1 byte per-pixel
IMGUI_API void GetTexDataAsRGBA32(unsigned char** out_pixels, int* out_width, int* out_height, int* out_bytes_per_pixel = NULL); // 4 bytes-per-pixel
bool IsBuilt() const { return Fonts.Size > 0 && TexReady; } // Bit ambiguous: used to detect when user didn't build texture but effectively we should check TexID != 0 except that would be backend dependent...
void SetTexID(ImTextureID id) { TexID = id; }
//-------------------------------------------
// Glyph Ranges
//-------------------------------------------
// Helpers to retrieve list of common Unicode ranges (2 value per range, values are inclusive, zero-terminated list)
// NB: Make sure that your string are UTF-8 and NOT in your local code page. In C++11, you can create UTF-8 string literal using the u8"Hello world" syntax. See FAQ for details.
// NB: Consider using ImFontGlyphRangesBuilder to build glyph ranges from textual data.
IMGUI_API const ImWchar* GetGlyphRangesDefault(); // Basic Latin, Extended Latin
IMGUI_API const ImWchar* GetGlyphRangesGreek(); // Default + Greek and Coptic
IMGUI_API const ImWchar* GetGlyphRangesKorean(); // Default + Korean characters
IMGUI_API const ImWchar* GetGlyphRangesJapanese(); // Default + Hiragana, Katakana, Half-Width, Selection of 2999 Ideographs
IMGUI_API const ImWchar* GetGlyphRangesChineseFull(); // Default + Half-Width + Japanese Hiragana/Katakana + full set of about 21000 CJK Unified Ideographs
IMGUI_API const ImWchar* GetGlyphRangesChineseSimplifiedCommon();// Default + Half-Width + Japanese Hiragana/Katakana + set of 2500 CJK Unified Ideographs for common simplified Chinese
IMGUI_API const ImWchar* GetGlyphRangesCyrillic(); // Default + about 400 Cyrillic characters
IMGUI_API const ImWchar* GetGlyphRangesThai(); // Default + Thai characters
IMGUI_API const ImWchar* GetGlyphRangesVietnamese(); // Default + Vietnamese characters
//-------------------------------------------
// [BETA] Custom Rectangles/Glyphs API
//-------------------------------------------
// You can request arbitrary rectangles to be packed into the atlas, for your own purposes.
// - After calling Build(), you can query the rectangle position and render your pixels.
// - If you render colored output, set 'atlas->TexPixelsUseColors = true' as this may help some backends decide of prefered texture format.
// - You can also request your rectangles to be mapped as font glyph (given a font + Unicode point),
// so you can render e.g. custom colorful icons and use them as regular glyphs.
// - Read docs/FONTS.md for more details about using colorful icons.
// - Note: this API may be redesigned later in order to support multi-monitor varying DPI settings.
IMGUI_API int AddCustomRectRegular(int width, int height);
IMGUI_API int AddCustomRectFontGlyph(ImFont* font, ImWchar id, int width, int height, float advance_x, const ImVec2& offset = ImVec2(0, 0));
ImFontAtlasCustomRect* GetCustomRectByIndex(int index) { IM_ASSERT(index >= 0); return &CustomRects[index]; }
// [Internal]
IMGUI_API void CalcCustomRectUV(const ImFontAtlasCustomRect* rect, ImVec2* out_uv_min, ImVec2* out_uv_max) const;
IMGUI_API bool GetMouseCursorTexData(ImGuiMouseCursor cursor, ImVec2* out_offset, ImVec2* out_size, ImVec2 out_uv_border[2], ImVec2 out_uv_fill[2]);
//-------------------------------------------
// Members
//-------------------------------------------
ImFontAtlasFlags Flags; // Build flags (see ImFontAtlasFlags_)
ImTextureID TexID; // User data to refer to the texture once it has been uploaded to user's graphic systems. It is passed back to you during rendering via the ImDrawCmd structure.
int TexDesiredWidth; // Texture width desired by user before Build(). Must be a power-of-two. If have many glyphs your graphics API have texture size restrictions you may want to increase texture width to decrease height.
int TexGlyphPadding; // Padding between glyphs within texture in pixels. Defaults to 1. If your rendering method doesn't rely on bilinear filtering you may set this to 0 (will also need to set AntiAliasedLinesUseTex = false).
bool Locked; // Marked as Locked by ImGui::NewFrame() so attempt to modify the atlas will assert.
void* UserData; // Store your own atlas related user-data (if e.g. you have multiple font atlas).
// [Internal]
// NB: Access texture data via GetTexData*() calls! Which will setup a default font for you.
bool TexReady; // Set when texture was built matching current font input
bool TexPixelsUseColors; // Tell whether our texture data is known to use colors (rather than just alpha channel), in order to help backend select a format.
unsigned char* TexPixelsAlpha8; // 1 component per pixel, each component is unsigned 8-bit. Total size = TexWidth * TexHeight
unsigned int* TexPixelsRGBA32; // 4 component per pixel, each component is unsigned 8-bit. Total size = TexWidth * TexHeight * 4
int TexWidth; // Texture width calculated during Build().
int TexHeight; // Texture height calculated during Build().
ImVec2 TexUvScale; // = (1.0f/TexWidth, 1.0f/TexHeight)
ImVec2 TexUvWhitePixel; // Texture coordinates to a white pixel
ImVector<ImFont*> Fonts; // Hold all the fonts returned by AddFont*. Fonts[0] is the default font upon calling ImGui::NewFrame(), use ImGui::PushFont()/PopFont() to change the current font.
ImVector<ImFontAtlasCustomRect> CustomRects; // Rectangles for packing custom texture data into the atlas.
ImVector<ImFontConfig> ConfigData; // Configuration data
ImVec4 TexUvLines[IM_DRAWLIST_TEX_LINES_WIDTH_MAX + 1]; // UVs for baked anti-aliased lines
// [Internal] Font builder
const ImFontBuilderIO* FontBuilderIO; // Opaque interface to a font builder (default to stb_truetype, can be changed to use FreeType by defining IMGUI_ENABLE_FREETYPE).
unsigned int FontBuilderFlags; // Shared flags (for all fonts) for custom font builder. THIS IS BUILD IMPLEMENTATION DEPENDENT. Per-font override is also available in ImFontConfig.
// [Internal] Packing data
int PackIdMouseCursors; // Custom texture rectangle ID for white pixel and mouse cursors
int PackIdLines; // Custom texture rectangle ID for baked anti-aliased lines
// [Obsolete]
//typedef ImFontAtlasCustomRect CustomRect; // OBSOLETED in 1.72+
//typedef ImFontGlyphRangesBuilder GlyphRangesBuilder; // OBSOLETED in 1.67+
};
// Font runtime data and rendering
// ImFontAtlas automatically loads a default embedded font for you when you call GetTexDataAsAlpha8() or GetTexDataAsRGBA32().
struct ImFont
{
// Members: Hot ~20/24 bytes (for CalcTextSize)
ImVector<float> IndexAdvanceX; // 12-16 // out // // Sparse. Glyphs->AdvanceX in a directly indexable way (cache-friendly for CalcTextSize functions which only this this info, and are often bottleneck in large UI).
float FallbackAdvanceX; // 4 // out // = FallbackGlyph->AdvanceX
float FontSize; // 4 // in // // Height of characters/line, set during loading (don't change after loading)
// Members: Hot ~28/40 bytes (for CalcTextSize + render loop)
ImVector<ImWchar> IndexLookup; // 12-16 // out // // Sparse. Index glyphs by Unicode code-point.
ImVector<ImFontGlyph> Glyphs; // 12-16 // out // // All glyphs.
const ImFontGlyph* FallbackGlyph; // 4-8 // out // = FindGlyph(FontFallbackChar)
// Members: Cold ~32/40 bytes
ImFontAtlas* ContainerAtlas; // 4-8 // out // // What we has been loaded into
const ImFontConfig* ConfigData; // 4-8 // in // // Pointer within ContainerAtlas->ConfigData
short ConfigDataCount; // 2 // in // ~ 1 // Number of ImFontConfig involved in creating this font. Bigger than 1 when merging multiple font sources into one ImFont.
ImWchar FallbackChar; // 2 // out // = FFFD/'?' // Character used if a glyph isn't found.
ImWchar EllipsisChar; // 2 // out // = '...'/'.'// Character used for ellipsis rendering.
short EllipsisCharCount; // 1 // out // 1 or 3
float EllipsisWidth; // 4 // out // Width
float EllipsisCharStep; // 4 // out // Step between characters when EllipsisCount > 0
bool DirtyLookupTables; // 1 // out //
float Scale; // 4 // in // = 1.f // Base font scale, multiplied by the per-window font scale which you can adjust with SetWindowFontScale()
float Ascent, Descent; // 4+4 // out // // Ascent: distance from top to bottom of e.g. 'A' [0..FontSize]
int MetricsTotalSurface;// 4 // out // // Total surface in pixels to get an idea of the font rasterization/texture cost (not exact, we approximate the cost of padding between glyphs)
ImU8 Used4kPagesMap[(IM_UNICODE_CODEPOINT_MAX+1)/4096/8]; // 2 bytes if ImWchar=ImWchar16, 34 bytes if ImWchar==ImWchar32. Store 1-bit for each block of 4K codepoints that has one active glyph. This is mainly used to facilitate iterations across all used codepoints.
// Methods
IMGUI_API ImFont();
IMGUI_API ~ImFont();
IMGUI_API const ImFontGlyph*FindGlyph(ImWchar c) const;
IMGUI_API const ImFontGlyph*FindGlyphNoFallback(ImWchar c) const;
float GetCharAdvance(ImWchar c) const { return ((int)c < IndexAdvanceX.Size) ? IndexAdvanceX[(int)c] : FallbackAdvanceX; }
bool IsLoaded() const { return ContainerAtlas != NULL; }
const char* GetDebugName() const { return ConfigData ? ConfigData->Name : "<unknown>"; }
// 'max_width' stops rendering after a certain width (could be turned into a 2d size). FLT_MAX to disable.
// 'wrap_width' enable automatic word-wrapping across multiple lines to fit into given width. 0.0f to disable.
IMGUI_API ImVec2 CalcTextSizeA(float size, float max_width, float wrap_width, const char* text_begin, const char* text_end = NULL, const char** remaining = NULL) const; // utf8
IMGUI_API const char* CalcWordWrapPositionA(float scale, const char* text, const char* text_end, float wrap_width) const;
IMGUI_API void RenderChar(ImDrawList* draw_list, float size, const ImVec2& pos, ImU32 col, ImWchar c) const;
IMGUI_API void RenderText(ImDrawList* draw_list, float size, const ImVec2& pos, ImU32 col, const ImVec4& clip_rect, const char* text_begin, const char* text_end, float wrap_width = 0.0f, bool cpu_fine_clip = false) const;
// [Internal] Don't use!
IMGUI_API void BuildLookupTable();
IMGUI_API void ClearOutputData();
IMGUI_API void GrowIndex(int new_size);
IMGUI_API void AddGlyph(const ImFontConfig* src_cfg, ImWchar c, float x0, float y0, float x1, float y1, float u0, float v0, float u1, float v1, float advance_x);
IMGUI_API void AddRemapChar(ImWchar dst, ImWchar src, bool overwrite_dst = true); // Makes 'dst' character/glyph points to 'src' character/glyph. Currently needs to be called AFTER fonts have been built.
IMGUI_API void SetGlyphVisible(ImWchar c, bool visible);
IMGUI_API bool IsGlyphRangeUnused(unsigned int c_begin, unsigned int c_last);
};
//-----------------------------------------------------------------------------
// [SECTION] Viewports
//-----------------------------------------------------------------------------
// Flags stored in ImGuiViewport::Flags, giving indications to the platform backends.
enum ImGuiViewportFlags_
{
ImGuiViewportFlags_None = 0,
ImGuiViewportFlags_IsPlatformWindow = 1 << 0, // Represent a Platform Window
ImGuiViewportFlags_IsPlatformMonitor = 1 << 1, // Represent a Platform Monitor (unused yet)
ImGuiViewportFlags_OwnedByApp = 1 << 2, // Platform Window: Was created/managed by the user application? (rather than our backend)
ImGuiViewportFlags_NoDecoration = 1 << 3, // Platform Window: Disable platform decorations: title bar, borders, etc. (generally set all windows, but if ImGuiConfigFlags_ViewportsDecoration is set we only set this on popups/tooltips)
ImGuiViewportFlags_NoTaskBarIcon = 1 << 4, // Platform Window: Disable platform task bar icon (generally set on popups/tooltips, or all windows if ImGuiConfigFlags_ViewportsNoTaskBarIcon is set)
ImGuiViewportFlags_NoFocusOnAppearing = 1 << 5, // Platform Window: Don't take focus when created.
ImGuiViewportFlags_NoFocusOnClick = 1 << 6, // Platform Window: Don't take focus when clicked on.
ImGuiViewportFlags_NoInputs = 1 << 7, // Platform Window: Make mouse pass through so we can drag this window while peaking behind it.
ImGuiViewportFlags_NoRendererClear = 1 << 8, // Platform Window: Renderer doesn't need to clear the framebuffer ahead (because we will fill it entirely).
ImGuiViewportFlags_NoAutoMerge = 1 << 9, // Platform Window: Avoid merging this window into another host window. This can only be set via ImGuiWindowClass viewport flags override (because we need to now ahead if we are going to create a viewport in the first place!).
ImGuiViewportFlags_TopMost = 1 << 10, // Platform Window: Display on top (for tooltips only).
ImGuiViewportFlags_CanHostOtherWindows = 1 << 11, // Viewport can host multiple imgui windows (secondary viewports are associated to a single window). // FIXME: In practice there's still probably code making the assumption that this is always and only on the MainViewport. Will fix once we add support for "no main viewport".
// Output status flags (from Platform)
ImGuiViewportFlags_IsMinimized = 1 << 12, // Platform Window: Window is minimized, can skip render. When minimized we tend to avoid using the viewport pos/size for clipping window or testing if they are contained in the viewport.
ImGuiViewportFlags_IsFocused = 1 << 13, // Platform Window: Window is focused (last call to Platform_GetWindowFocus() returned true)
};
// - Currently represents the Platform Window created by the application which is hosting our Dear ImGui windows.
// - With multi-viewport enabled, we extend this concept to have multiple active viewports.
// - In the future we will extend this concept further to also represent Platform Monitor and support a "no main platform window" operation mode.
// - About Main Area vs Work Area:
// - Main Area = entire viewport.
// - Work Area = entire viewport minus sections used by main menu bars (for platform windows), or by task bar (for platform monitor).
// - Windows are generally trying to stay within the Work Area of their host viewport.
struct ImGuiViewport
{
ImGuiID ID; // Unique identifier for the viewport
ImGuiViewportFlags Flags; // See ImGuiViewportFlags_
ImVec2 Pos; // Main Area: Position of the viewport (Dear ImGui coordinates are the same as OS desktop/native coordinates)
ImVec2 Size; // Main Area: Size of the viewport.
ImVec2 WorkPos; // Work Area: Position of the viewport minus task bars, menus bars, status bars (>= Pos)
ImVec2 WorkSize; // Work Area: Size of the viewport minus task bars, menu bars, status bars (<= Size)
float DpiScale; // 1.0f = 96 DPI = No extra scale.
ImGuiID ParentViewportId; // (Advanced) 0: no parent. Instruct the platform backend to setup a parent/child relationship between platform windows.
ImDrawData* DrawData; // The ImDrawData corresponding to this viewport. Valid after Render() and until the next call to NewFrame().
// Platform/Backend Dependent Data
// Our design separate the Renderer and Platform backends to facilitate combining default backends with each others.
// When our create your own backend for a custom engine, it is possible that both Renderer and Platform will be handled
// by the same system and you may not need to use all the UserData/Handle fields.
// The library never uses those fields, they are merely storage to facilitate backend implementation.
void* RendererUserData; // void* to hold custom data structure for the renderer (e.g. swap chain, framebuffers etc.). generally set by your Renderer_CreateWindow function.
void* PlatformUserData; // void* to hold custom data structure for the OS / platform (e.g. windowing info, render context). generally set by your Platform_CreateWindow function.
void* PlatformHandle; // void* for FindViewportByPlatformHandle(). (e.g. suggested to use natural platform handle such as HWND, GLFWWindow*, SDL_Window*)
void* PlatformHandleRaw; // void* to hold lower-level, platform-native window handle (under Win32 this is expected to be a HWND, unused for other platforms), when using an abstraction layer like GLFW or SDL (where PlatformHandle would be a SDL_Window*)
bool PlatformWindowCreated; // Platform window has been created (Platform_CreateWindow() has been called). This is false during the first frame where a viewport is being created.
bool PlatformRequestMove; // Platform window requested move (e.g. window was moved by the OS / host window manager, authoritative position will be OS window position)
bool PlatformRequestResize; // Platform window requested resize (e.g. window was resized by the OS / host window manager, authoritative size will be OS window size)
bool PlatformRequestClose; // Platform window requested closure (e.g. window was moved by the OS / host window manager, e.g. pressing ALT-F4)
ImGuiViewport() { memset(this, 0, sizeof(*this)); }
~ImGuiViewport() { IM_ASSERT(PlatformUserData == NULL && RendererUserData == NULL); }
// Helpers
ImVec2 GetCenter() const { return ImVec2(Pos.x + Size.x * 0.5f, Pos.y + Size.y * 0.5f); }
ImVec2 GetWorkCenter() const { return ImVec2(WorkPos.x + WorkSize.x * 0.5f, WorkPos.y + WorkSize.y * 0.5f); }
};
//-----------------------------------------------------------------------------
// [SECTION] Platform Dependent Interfaces (for e.g. multi-viewport support)
//-----------------------------------------------------------------------------
// [BETA] (Optional) This is completely optional, for advanced users!
// If you are new to Dear ImGui and trying to integrate it into your engine, you can probably ignore this for now.
//
// This feature allows you to seamlessly drag Dear ImGui windows outside of your application viewport.
// This is achieved by creating new Platform/OS windows on the fly, and rendering into them.
// Dear ImGui manages the viewport structures, and the backend create and maintain one Platform/OS window for each of those viewports.
//
// See Glossary https://github.com/ocornut/imgui/wiki/Glossary for details about some of the terminology.
// See Thread https://github.com/ocornut/imgui/issues/1542 for gifs, news and questions about this evolving feature.
//
// About the coordinates system:
// - When multi-viewports are enabled, all Dear ImGui coordinates become absolute coordinates (same as OS coordinates!)
// - So e.g. ImGui::SetNextWindowPos(ImVec2(0,0)) will position a window relative to your primary monitor!
// - If you want to position windows relative to your main application viewport, use ImGui::GetMainViewport()->Pos as a base position.
//
// Steps to use multi-viewports in your application, when using a default backend from the examples/ folder:
// - Application: Enable feature with 'io.ConfigFlags |= ImGuiConfigFlags_ViewportsEnable'.
// - Backend: The backend initialization will setup all necessary ImGuiPlatformIO's functions and update monitors info every frame.
// - Application: In your main loop, call ImGui::UpdatePlatformWindows(), ImGui::RenderPlatformWindowsDefault() after EndFrame() or Render().
// - Application: Fix absolute coordinates used in ImGui::SetWindowPos() or ImGui::SetNextWindowPos() calls.
//
// Steps to use multi-viewports in your application, when using a custom backend:
// - Important: THIS IS NOT EASY TO DO and comes with many subtleties not described here!
// It's also an experimental feature, so some of the requirements may evolve.
// Consider using default backends if you can. Either way, carefully follow and refer to examples/ backends for details.
// - Application: Enable feature with 'io.ConfigFlags |= ImGuiConfigFlags_ViewportsEnable'.
// - Backend: Hook ImGuiPlatformIO's Platform_* and Renderer_* callbacks (see below).
// Set 'io.BackendFlags |= ImGuiBackendFlags_PlatformHasViewports' and 'io.BackendFlags |= ImGuiBackendFlags_PlatformHasViewports'.
// Update ImGuiPlatformIO's Monitors list every frame.
// Update MousePos every frame, in absolute coordinates.
// - Application: In your main loop, call ImGui::UpdatePlatformWindows(), ImGui::RenderPlatformWindowsDefault() after EndFrame() or Render().
// You may skip calling RenderPlatformWindowsDefault() if its API is not convenient for your needs. Read comments below.
// - Application: Fix absolute coordinates used in ImGui::SetWindowPos() or ImGui::SetNextWindowPos() calls.
//
// About ImGui::RenderPlatformWindowsDefault():
// - This function is a mostly a _helper_ for the common-most cases, and to facilitate using default backends.
// - You can check its simple source code to understand what it does.
// It basically iterates secondary viewports and call 4 functions that are setup in ImGuiPlatformIO, if available:
// Platform_RenderWindow(), Renderer_RenderWindow(), Platform_SwapBuffers(), Renderer_SwapBuffers()
// Those functions pointers exists only for the benefit of RenderPlatformWindowsDefault().
// - If you have very specific rendering needs (e.g. flipping multiple swap-chain simultaneously, unusual sync/threading issues, etc.),
// you may be tempted to ignore RenderPlatformWindowsDefault() and write customized code to perform your renderingg.
// You may decide to setup the platform_io's *RenderWindow and *SwapBuffers pointers and call your functions through those pointers,
// or you may decide to never setup those pointers and call your code directly. They are a convenience, not an obligatory interface.
//-----------------------------------------------------------------------------
// (Optional) Access via ImGui::GetPlatformIO()
struct ImGuiPlatformIO
{
//------------------------------------------------------------------
// Input - Backend interface/functions + Monitor List
//------------------------------------------------------------------
// (Optional) Platform functions (e.g. Win32, GLFW, SDL2)
// For reference, the second column shows which function are generally calling the Platform Functions:
// N = ImGui::NewFrame() ~ beginning of the dear imgui frame: read info from platform/OS windows (latest size/position)
// F = ImGui::Begin(), ImGui::EndFrame() ~ during the dear imgui frame
// U = ImGui::UpdatePlatformWindows() ~ after the dear imgui frame: create and update all platform/OS windows
// R = ImGui::RenderPlatformWindowsDefault() ~ render
// D = ImGui::DestroyPlatformWindows() ~ shutdown
// The general idea is that NewFrame() we will read the current Platform/OS state, and UpdatePlatformWindows() will write to it.
//
// The functions are designed so we can mix and match 2 imgui_impl_xxxx files, one for the Platform (~window/input handling), one for Renderer.
// Custom engine backends will often provide both Platform and Renderer interfaces and so may not need to use all functions.
// Platform functions are typically called before their Renderer counterpart, apart from Destroy which are called the other way.
// Platform function --------------------------------------------------- Called by -----
void (*Platform_CreateWindow)(ImGuiViewport* vp); // . . U . . // Create a new platform window for the given viewport
void (*Platform_DestroyWindow)(ImGuiViewport* vp); // N . U . D //
void (*Platform_ShowWindow)(ImGuiViewport* vp); // . . U . . // Newly created windows are initially hidden so SetWindowPos/Size/Title can be called on them before showing the window
void (*Platform_SetWindowPos)(ImGuiViewport* vp, ImVec2 pos); // . . U . . // Set platform window position (given the upper-left corner of client area)
ImVec2 (*Platform_GetWindowPos)(ImGuiViewport* vp); // N . . . . //
void (*Platform_SetWindowSize)(ImGuiViewport* vp, ImVec2 size); // . . U . . // Set platform window client area size (ignoring OS decorations such as OS title bar etc.)
ImVec2 (*Platform_GetWindowSize)(ImGuiViewport* vp); // N . . . . // Get platform window client area size
void (*Platform_SetWindowFocus)(ImGuiViewport* vp); // N . . . . // Move window to front and set input focus
bool (*Platform_GetWindowFocus)(ImGuiViewport* vp); // . . U . . //
bool (*Platform_GetWindowMinimized)(ImGuiViewport* vp); // N . . . . // Get platform window minimized state. When minimized, we generally won't attempt to get/set size and contents will be culled more easily
void (*Platform_SetWindowTitle)(ImGuiViewport* vp, const char* str); // . . U . . // Set platform window title (given an UTF-8 string)
void (*Platform_SetWindowAlpha)(ImGuiViewport* vp, float alpha); // . . U . . // (Optional) Setup global transparency (not per-pixel transparency)
void (*Platform_UpdateWindow)(ImGuiViewport* vp); // . . U . . // (Optional) Called by UpdatePlatformWindows(). Optional hook to allow the platform backend from doing general book-keeping every frame.
void (*Platform_RenderWindow)(ImGuiViewport* vp, void* render_arg); // . . . R . // (Optional) Main rendering (platform side! This is often unused, or just setting a "current" context for OpenGL bindings). 'render_arg' is the value passed to RenderPlatformWindowsDefault().
void (*Platform_SwapBuffers)(ImGuiViewport* vp, void* render_arg); // . . . R . // (Optional) Call Present/SwapBuffers (platform side! This is often unused!). 'render_arg' is the value passed to RenderPlatformWindowsDefault().
float (*Platform_GetWindowDpiScale)(ImGuiViewport* vp); // N . . . . // (Optional) [BETA] FIXME-DPI: DPI handling: Return DPI scale for this viewport. 1.0f = 96 DPI.
void (*Platform_OnChangedViewport)(ImGuiViewport* vp); // . F . . . // (Optional) [BETA] FIXME-DPI: DPI handling: Called during Begin() every time the viewport we are outputting into changes, so backend has a chance to swap fonts to adjust style.
int (*Platform_CreateVkSurface)(ImGuiViewport* vp, ImU64 vk_inst, const void* vk_allocators, ImU64* out_vk_surface); // (Optional) For a Vulkan Renderer to call into Platform code (since the surface creation needs to tie them both).
// (Optional) Renderer functions (e.g. DirectX, OpenGL, Vulkan)
void (*Renderer_CreateWindow)(ImGuiViewport* vp); // . . U . . // Create swap chain, frame buffers etc. (called after Platform_CreateWindow)
void (*Renderer_DestroyWindow)(ImGuiViewport* vp); // N . U . D // Destroy swap chain, frame buffers etc. (called before Platform_DestroyWindow)
void (*Renderer_SetWindowSize)(ImGuiViewport* vp, ImVec2 size); // . . U . . // Resize swap chain, frame buffers etc. (called after Platform_SetWindowSize)
void (*Renderer_RenderWindow)(ImGuiViewport* vp, void* render_arg); // . . . R . // (Optional) Clear framebuffer, setup render target, then render the viewport->DrawData. 'render_arg' is the value passed to RenderPlatformWindowsDefault().
void (*Renderer_SwapBuffers)(ImGuiViewport* vp, void* render_arg); // . . . R . // (Optional) Call Present/SwapBuffers. 'render_arg' is the value passed to RenderPlatformWindowsDefault().
// (Optional) Monitor list
// - Updated by: app/backend. Update every frame to dynamically support changing monitor or DPI configuration.
// - Used by: dear imgui to query DPI info, clamp popups/tooltips within same monitor and not have them straddle monitors.
ImVector<ImGuiPlatformMonitor> Monitors;
//------------------------------------------------------------------
// Output - List of viewports to render into platform windows
//------------------------------------------------------------------
// Viewports list (the list is updated by calling ImGui::EndFrame or ImGui::Render)
// (in the future we will attempt to organize this feature to remove the need for a "main viewport")
ImVector<ImGuiViewport*> Viewports; // Main viewports, followed by all secondary viewports.
ImGuiPlatformIO() { memset(this, 0, sizeof(*this)); } // Zero clear
};
// (Optional) This is required when enabling multi-viewport. Represent the bounds of each connected monitor/display and their DPI.
// We use this information for multiple DPI support + clamping the position of popups and tooltips so they don't straddle multiple monitors.
struct ImGuiPlatformMonitor
{
ImVec2 MainPos, MainSize; // Coordinates of the area displayed on this monitor (Min = upper left, Max = bottom right)
ImVec2 WorkPos, WorkSize; // Coordinates without task bars / side bars / menu bars. Used to avoid positioning popups/tooltips inside this region. If you don't have this info, please copy the value for MainPos/MainSize.
float DpiScale; // 1.0f = 96 DPI
ImGuiPlatformMonitor() { MainPos = MainSize = WorkPos = WorkSize = ImVec2(0, 0); DpiScale = 1.0f; }
};
// (Optional) Support for IME (Input Method Editor) via the io.SetPlatformImeDataFn() function.
struct ImGuiPlatformImeData
{
bool WantVisible; // A widget wants the IME to be visible
ImVec2 InputPos; // Position of the input cursor
float InputLineHeight; // Line height
ImGuiPlatformImeData() { memset(this, 0, sizeof(*this)); }
};
//-----------------------------------------------------------------------------
// [SECTION] Obsolete functions and types
// (Will be removed! Read 'API BREAKING CHANGES' section in imgui.cpp for details)
// Please keep your copy of dear imgui up to date! Occasionally set '#define IMGUI_DISABLE_OBSOLETE_FUNCTIONS' in imconfig.h to stay ahead.
//-----------------------------------------------------------------------------
namespace ImGui
{
#ifndef IMGUI_DISABLE_OBSOLETE_KEYIO
IMGUI_API ImGuiKey GetKeyIndex(ImGuiKey key); // map ImGuiKey_* values into legacy native key index. == io.KeyMap[key]
#else
static inline ImGuiKey GetKeyIndex(ImGuiKey key) { IM_ASSERT(key >= ImGuiKey_NamedKey_BEGIN && key < ImGuiKey_NamedKey_END && "ImGuiKey and native_index was merged together and native_index is disabled by IMGUI_DISABLE_OBSOLETE_KEYIO. Please switch to ImGuiKey."); return key; }
#endif
}
#ifndef IMGUI_DISABLE_OBSOLETE_FUNCTIONS
namespace ImGui
{
// OBSOLETED in 1.89.4 (from March 2023)
static inline void PushAllowKeyboardFocus(bool tab_stop) { PushTabStop(tab_stop); }
static inline void PopAllowKeyboardFocus() { PopTabStop(); }
// OBSOLETED in 1.89 (from August 2022)
IMGUI_API bool ImageButton(ImTextureID user_texture_id, const ImVec2& size, const ImVec2& uv0 = ImVec2(0, 0), const ImVec2& uv1 = ImVec2(1, 1), int frame_padding = -1, const ImVec4& bg_col = ImVec4(0, 0, 0, 0), const ImVec4& tint_col = ImVec4(1, 1, 1, 1)); // Use new ImageButton() signature (explicit item id, regular FramePadding)
// OBSOLETED in 1.88 (from May 2022)
static inline void CaptureKeyboardFromApp(bool want_capture_keyboard = true) { SetNextFrameWantCaptureKeyboard(want_capture_keyboard); } // Renamed as name was misleading + removed default value.
static inline void CaptureMouseFromApp(bool want_capture_mouse = true) { SetNextFrameWantCaptureMouse(want_capture_mouse); } // Renamed as name was misleading + removed default value.
// OBSOLETED in 1.86 (from November 2021)
IMGUI_API void CalcListClipping(int items_count, float items_height, int* out_items_display_start, int* out_items_display_end); // Calculate coarse clipping for large list of evenly sized items. Prefer using ImGuiListClipper.
// OBSOLETED in 1.85 (from August 2021)
static inline float GetWindowContentRegionWidth() { return GetWindowContentRegionMax().x - GetWindowContentRegionMin().x; }
// OBSOLETED in 1.81 (from February 2021)
IMGUI_API bool ListBoxHeader(const char* label, int items_count, int height_in_items = -1); // Helper to calculate size from items_count and height_in_items
static inline bool ListBoxHeader(const char* label, const ImVec2& size = ImVec2(0, 0)) { return BeginListBox(label, size); }
static inline void ListBoxFooter() { EndListBox(); }
// Some of the older obsolete names along with their replacement (commented out so they are not reported in IDE)
//-- OBSOLETED in 1.79 (from August 2020)
//static inline void OpenPopupContextItem(const char* str_id = NULL, ImGuiMouseButton mb = 1) { OpenPopupOnItemClick(str_id, mb); } // Bool return value removed. Use IsWindowAppearing() in BeginPopup() instead. Renamed in 1.77, renamed back in 1.79. Sorry!
//-- OBSOLETED in 1.78 (from June 2020): Old drag/sliders functions that took a 'float power > 1.0f' argument instead of ImGuiSliderFlags_Logarithmic. See github.com/ocornut/imgui/issues/3361 for details.
//IMGUI_API bool DragScalar(const char* label, ImGuiDataType data_type, void* p_data, float v_speed, const void* p_min, const void* p_max, const char* format, float power = 1.0f) // OBSOLETED in 1.78 (from June 2020)
//IMGUI_API bool DragScalarN(const char* label, ImGuiDataType data_type, void* p_data, int components, float v_speed, const void* p_min, const void* p_max, const char* format, float power = 1.0f); // OBSOLETED in 1.78 (from June 2020)
//IMGUI_API bool SliderScalar(const char* label, ImGuiDataType data_type, void* p_data, const void* p_min, const void* p_max, const char* format, float power = 1.0f); // OBSOLETED in 1.78 (from June 2020)
//IMGUI_API bool SliderScalarN(const char* label, ImGuiDataType data_type, void* p_data, int components, const void* p_min, const void* p_max, const char* format, float power = 1.0f); // OBSOLETED in 1.78 (from June 2020)
//static inline bool DragFloat(const char* label, float* v, float v_speed, float v_min, float v_max, const char* format, float power = 1.0f) { return DragScalar(label, ImGuiDataType_Float, v, v_speed, &v_min, &v_max, format, power); } // OBSOLETED in 1.78 (from June 2020)
//static inline bool DragFloat2(const char* label, float v[2], float v_speed, float v_min, float v_max, const char* format, float power = 1.0f) { return DragScalarN(label, ImGuiDataType_Float, v, 2, v_speed, &v_min, &v_max, format, power); } // OBSOLETED in 1.78 (from June 2020)
//static inline bool DragFloat3(const char* label, float v[3], float v_speed, float v_min, float v_max, const char* format, float power = 1.0f) { return DragScalarN(label, ImGuiDataType_Float, v, 3, v_speed, &v_min, &v_max, format, power); } // OBSOLETED in 1.78 (from June 2020)
//static inline bool DragFloat4(const char* label, float v[4], float v_speed, float v_min, float v_max, const char* format, float power = 1.0f) { return DragScalarN(label, ImGuiDataType_Float, v, 4, v_speed, &v_min, &v_max, format, power); } // OBSOLETED in 1.78 (from June 2020)
//static inline bool SliderFloat(const char* label, float* v, float v_min, float v_max, const char* format, float power = 1.0f) { return SliderScalar(label, ImGuiDataType_Float, v, &v_min, &v_max, format, power); } // OBSOLETED in 1.78 (from June 2020)
//static inline bool SliderFloat2(const char* label, float v[2], float v_min, float v_max, const char* format, float power = 1.0f) { return SliderScalarN(label, ImGuiDataType_Float, v, 2, &v_min, &v_max, format, power); } // OBSOLETED in 1.78 (from June 2020)
//static inline bool SliderFloat3(const char* label, float v[3], float v_min, float v_max, const char* format, float power = 1.0f) { return SliderScalarN(label, ImGuiDataType_Float, v, 3, &v_min, &v_max, format, power); } // OBSOLETED in 1.78 (from June 2020)
//static inline bool SliderFloat4(const char* label, float v[4], float v_min, float v_max, const char* format, float power = 1.0f) { return SliderScalarN(label, ImGuiDataType_Float, v, 4, &v_min, &v_max, format, power); } // OBSOLETED in 1.78 (from June 2020)
//-- OBSOLETED in 1.77 and before
//static inline bool BeginPopupContextWindow(const char* str_id, ImGuiMouseButton mb, bool over_items) { return BeginPopupContextWindow(str_id, mb | (over_items ? 0 : ImGuiPopupFlags_NoOpenOverItems)); } // OBSOLETED in 1.77 (from June 2020)
//static inline void TreeAdvanceToLabelPos() { SetCursorPosX(GetCursorPosX() + GetTreeNodeToLabelSpacing()); } // OBSOLETED in 1.72 (from July 2019)
//static inline void SetNextTreeNodeOpen(bool open, ImGuiCond cond = 0) { SetNextItemOpen(open, cond); } // OBSOLETED in 1.71 (from June 2019)
//static inline float GetContentRegionAvailWidth() { return GetContentRegionAvail().x; } // OBSOLETED in 1.70 (from May 2019)
//static inline ImDrawList* GetOverlayDrawList() { return GetForegroundDrawList(); } // OBSOLETED in 1.69 (from Mar 2019)
//static inline void SetScrollHere(float ratio = 0.5f) { SetScrollHereY(ratio); } // OBSOLETED in 1.66 (from Nov 2018)
//static inline bool IsItemDeactivatedAfterChange() { return IsItemDeactivatedAfterEdit(); } // OBSOLETED in 1.63 (from Aug 2018)
//-- OBSOLETED in 1.60 and before
//static inline bool IsAnyWindowFocused() { return IsWindowFocused(ImGuiFocusedFlags_AnyWindow); } // OBSOLETED in 1.60 (from Apr 2018)
//static inline bool IsAnyWindowHovered() { return IsWindowHovered(ImGuiHoveredFlags_AnyWindow); } // OBSOLETED in 1.60 (between Dec 2017 and Apr 2018)
//static inline void ShowTestWindow() { return ShowDemoWindow(); } // OBSOLETED in 1.53 (between Oct 2017 and Dec 2017)
//static inline bool IsRootWindowFocused() { return IsWindowFocused(ImGuiFocusedFlags_RootWindow); } // OBSOLETED in 1.53 (between Oct 2017 and Dec 2017)
//static inline bool IsRootWindowOrAnyChildFocused() { return IsWindowFocused(ImGuiFocusedFlags_RootAndChildWindows); } // OBSOLETED in 1.53 (between Oct 2017 and Dec 2017)
//static inline void SetNextWindowContentWidth(float w) { SetNextWindowContentSize(ImVec2(w, 0.0f)); } // OBSOLETED in 1.53 (between Oct 2017 and Dec 2017)
//static inline float GetItemsLineHeightWithSpacing() { return GetFrameHeightWithSpacing(); } // OBSOLETED in 1.53 (between Oct 2017 and Dec 2017)
//IMGUI_API bool Begin(char* name, bool* p_open, ImVec2 size_first_use, float bg_alpha = -1.0f, ImGuiWindowFlags flags=0); // OBSOLETED in 1.52 (between Aug 2017 and Oct 2017): Equivalent of using SetNextWindowSize(size, ImGuiCond_FirstUseEver) and SetNextWindowBgAlpha().
//static inline bool IsRootWindowOrAnyChildHovered() { return IsWindowHovered(ImGuiHoveredFlags_RootAndChildWindows); } // OBSOLETED in 1.52 (between Aug 2017 and Oct 2017)
//static inline void AlignFirstTextHeightToWidgets() { AlignTextToFramePadding(); } // OBSOLETED in 1.52 (between Aug 2017 and Oct 2017)
//static inline void SetNextWindowPosCenter(ImGuiCond c=0) { SetNextWindowPos(GetMainViewport()->GetCenter(), c, ImVec2(0.5f,0.5f)); } // OBSOLETED in 1.52 (between Aug 2017 and Oct 2017)
//static inline bool IsItemHoveredRect() { return IsItemHovered(ImGuiHoveredFlags_RectOnly); } // OBSOLETED in 1.51 (between Jun 2017 and Aug 2017)
//static inline bool IsPosHoveringAnyWindow(const ImVec2&) { IM_ASSERT(0); return false; } // OBSOLETED in 1.51 (between Jun 2017 and Aug 2017): This was misleading and partly broken. You probably want to use the io.WantCaptureMouse flag instead.
//static inline bool IsMouseHoveringAnyWindow() { return IsWindowHovered(ImGuiHoveredFlags_AnyWindow); } // OBSOLETED in 1.51 (between Jun 2017 and Aug 2017)
//static inline bool IsMouseHoveringWindow() { return IsWindowHovered(ImGuiHoveredFlags_AllowWhenBlockedByPopup | ImGuiHoveredFlags_AllowWhenBlockedByActiveItem); } // OBSOLETED in 1.51 (between Jun 2017 and Aug 2017)
//-- OBSOLETED in 1.50 and before
//static inline bool CollapsingHeader(char* label, const char* str_id, bool framed = true, bool default_open = false) { return CollapsingHeader(label, (default_open ? (1 << 5) : 0)); } // OBSOLETED in 1.49
//static inline ImFont*GetWindowFont() { return GetFont(); } // OBSOLETED in 1.48
//static inline float GetWindowFontSize() { return GetFontSize(); } // OBSOLETED in 1.48
//static inline void SetScrollPosHere() { SetScrollHere(); } // OBSOLETED in 1.42
}
// OBSOLETED in 1.82 (from Mars 2021): flags for AddRect(), AddRectFilled(), AddImageRounded(), PathRect()
typedef ImDrawFlags ImDrawCornerFlags;
enum ImDrawCornerFlags_
{
ImDrawCornerFlags_None = ImDrawFlags_RoundCornersNone, // Was == 0 prior to 1.82, this is now == ImDrawFlags_RoundCornersNone which is != 0 and not implicit
ImDrawCornerFlags_TopLeft = ImDrawFlags_RoundCornersTopLeft, // Was == 0x01 (1 << 0) prior to 1.82. Order matches ImDrawFlags_NoRoundCorner* flag (we exploit this internally).
ImDrawCornerFlags_TopRight = ImDrawFlags_RoundCornersTopRight, // Was == 0x02 (1 << 1) prior to 1.82.
ImDrawCornerFlags_BotLeft = ImDrawFlags_RoundCornersBottomLeft, // Was == 0x04 (1 << 2) prior to 1.82.
ImDrawCornerFlags_BotRight = ImDrawFlags_RoundCornersBottomRight, // Was == 0x08 (1 << 3) prior to 1.82.
ImDrawCornerFlags_All = ImDrawFlags_RoundCornersAll, // Was == 0x0F prior to 1.82
ImDrawCornerFlags_Top = ImDrawCornerFlags_TopLeft | ImDrawCornerFlags_TopRight,
ImDrawCornerFlags_Bot = ImDrawCornerFlags_BotLeft | ImDrawCornerFlags_BotRight,
ImDrawCornerFlags_Left = ImDrawCornerFlags_TopLeft | ImDrawCornerFlags_BotLeft,
ImDrawCornerFlags_Right = ImDrawCornerFlags_TopRight | ImDrawCornerFlags_BotRight,
};
// RENAMED and MERGED both ImGuiKey_ModXXX and ImGuiModFlags_XXX into ImGuiMod_XXX (from September 2022)
// RENAMED ImGuiKeyModFlags -> ImGuiModFlags in 1.88 (from April 2022). Exceptionally commented out ahead of obscolescence schedule to reduce confusion and because they were not meant to be used in the first place.
typedef ImGuiKeyChord ImGuiModFlags; // == int. We generally use ImGuiKeyChord to mean "a ImGuiKey or-ed with any number of ImGuiMod_XXX value", but you may store only mods in there.
enum ImGuiModFlags_ { ImGuiModFlags_None = 0, ImGuiModFlags_Ctrl = ImGuiMod_Ctrl, ImGuiModFlags_Shift = ImGuiMod_Shift, ImGuiModFlags_Alt = ImGuiMod_Alt, ImGuiModFlags_Super = ImGuiMod_Super };
//typedef ImGuiKeyChord ImGuiKeyModFlags; // == int
//enum ImGuiKeyModFlags_ { ImGuiKeyModFlags_None = 0, ImGuiKeyModFlags_Ctrl = ImGuiMod_Ctrl, ImGuiKeyModFlags_Shift = ImGuiMod_Shift, ImGuiKeyModFlags_Alt = ImGuiMod_Alt, ImGuiKeyModFlags_Super = ImGuiMod_Super };
#endif // #ifndef IMGUI_DISABLE_OBSOLETE_FUNCTIONS
// RENAMED IMGUI_DISABLE_METRICS_WINDOW > IMGUI_DISABLE_DEBUG_TOOLS in 1.88 (from June 2022)
#if defined(IMGUI_DISABLE_METRICS_WINDOW) && !defined(IMGUI_DISABLE_OBSOLETE_FUNCTIONS) && !defined(IMGUI_DISABLE_DEBUG_TOOLS)
#define IMGUI_DISABLE_DEBUG_TOOLS
#endif
#if defined(IMGUI_DISABLE_METRICS_WINDOW) && defined(IMGUI_DISABLE_OBSOLETE_FUNCTIONS)
#error IMGUI_DISABLE_METRICS_WINDOW was renamed to IMGUI_DISABLE_DEBUG_TOOLS, please use new name.
#endif
//-----------------------------------------------------------------------------
#if defined(__clang__)
#pragma clang diagnostic pop
#elif defined(__GNUC__)
#pragma GCC diagnostic pop
#endif
#ifdef _MSC_VER
#pragma warning (pop)
#endif
// Include imgui_user.h at the end of imgui.h (convenient for user to only explicitly include vanilla imgui.h)
#ifdef IMGUI_INCLUDE_IMGUI_USER_H
#include "imgui_user.h"
#endif
#endif // #ifndef IMGUI_DISABLE
|
0 | repos/c2z/use_cases/imgui | repos/c2z/use_cases/imgui/include/imstb_truetype.h | // [DEAR IMGUI]
// This is a slightly modified version of stb_truetype.h 1.26.
// Mostly fixing for compiler and static analyzer warnings.
// Grep for [DEAR IMGUI] to find the changes.
// stb_truetype.h - v1.26 - public domain
// authored from 2009-2021 by Sean Barrett / RAD Game Tools
//
// =======================================================================
//
// NO SECURITY GUARANTEE -- DO NOT USE THIS ON UNTRUSTED FONT FILES
//
// This library does no range checking of the offsets found in the file,
// meaning an attacker can use it to read arbitrary memory.
//
// =======================================================================
//
// This library processes TrueType files:
// parse files
// extract glyph metrics
// extract glyph shapes
// render glyphs to one-channel bitmaps with antialiasing (box filter)
// render glyphs to one-channel SDF bitmaps (signed-distance field/function)
//
// Todo:
// non-MS cmaps
// crashproof on bad data
// hinting? (no longer patented)
// cleartype-style AA?
// optimize: use simple memory allocator for intermediates
// optimize: build edge-list directly from curves
// optimize: rasterize directly from curves?
//
// ADDITIONAL CONTRIBUTORS
//
// Mikko Mononen: compound shape support, more cmap formats
// Tor Andersson: kerning, subpixel rendering
// Dougall Johnson: OpenType / Type 2 font handling
// Daniel Ribeiro Maciel: basic GPOS-based kerning
//
// Misc other:
// Ryan Gordon
// Simon Glass
// github:IntellectualKitty
// Imanol Celaya
// Daniel Ribeiro Maciel
//
// Bug/warning reports/fixes:
// "Zer" on mollyrocket Fabian "ryg" Giesen github:NiLuJe
// Cass Everitt Martins Mozeiko github:aloucks
// stoiko (Haemimont Games) Cap Petschulat github:oyvindjam
// Brian Hook Omar Cornut github:vassvik
// Walter van Niftrik Ryan Griege
// David Gow Peter LaValle
// David Given Sergey Popov
// Ivan-Assen Ivanov Giumo X. Clanjor
// Anthony Pesch Higor Euripedes
// Johan Duparc Thomas Fields
// Hou Qiming Derek Vinyard
// Rob Loach Cort Stratton
// Kenney Phillis Jr. Brian Costabile
// Ken Voskuil (kaesve)
//
// VERSION HISTORY
//
// 1.26 (2021-08-28) fix broken rasterizer
// 1.25 (2021-07-11) many fixes
// 1.24 (2020-02-05) fix warning
// 1.23 (2020-02-02) query SVG data for glyphs; query whole kerning table (but only kern not GPOS)
// 1.22 (2019-08-11) minimize missing-glyph duplication; fix kerning if both 'GPOS' and 'kern' are defined
// 1.21 (2019-02-25) fix warning
// 1.20 (2019-02-07) PackFontRange skips missing codepoints; GetScaleFontVMetrics()
// 1.19 (2018-02-11) GPOS kerning, STBTT_fmod
// 1.18 (2018-01-29) add missing function
// 1.17 (2017-07-23) make more arguments const; doc fix
// 1.16 (2017-07-12) SDF support
// 1.15 (2017-03-03) make more arguments const
// 1.14 (2017-01-16) num-fonts-in-TTC function
// 1.13 (2017-01-02) support OpenType fonts, certain Apple fonts
// 1.12 (2016-10-25) suppress warnings about casting away const with -Wcast-qual
// 1.11 (2016-04-02) fix unused-variable warning
// 1.10 (2016-04-02) user-defined fabs(); rare memory leak; remove duplicate typedef
// 1.09 (2016-01-16) warning fix; avoid crash on outofmem; use allocation userdata properly
// 1.08 (2015-09-13) document stbtt_Rasterize(); fixes for vertical & horizontal edges
// 1.07 (2015-08-01) allow PackFontRanges to accept arrays of sparse codepoints;
// variant PackFontRanges to pack and render in separate phases;
// fix stbtt_GetFontOFfsetForIndex (never worked for non-0 input?);
// fixed an assert() bug in the new rasterizer
// replace assert() with STBTT_assert() in new rasterizer
//
// Full history can be found at the end of this file.
//
// LICENSE
//
// See end of file for license information.
//
// USAGE
//
// Include this file in whatever places need to refer to it. In ONE C/C++
// file, write:
// #define STB_TRUETYPE_IMPLEMENTATION
// before the #include of this file. This expands out the actual
// implementation into that C/C++ file.
//
// To make the implementation private to the file that generates the implementation,
// #define STBTT_STATIC
//
// Simple 3D API (don't ship this, but it's fine for tools and quick start)
// stbtt_BakeFontBitmap() -- bake a font to a bitmap for use as texture
// stbtt_GetBakedQuad() -- compute quad to draw for a given char
//
// Improved 3D API (more shippable):
// #include "stb_rect_pack.h" -- optional, but you really want it
// stbtt_PackBegin()
// stbtt_PackSetOversampling() -- for improved quality on small fonts
// stbtt_PackFontRanges() -- pack and renders
// stbtt_PackEnd()
// stbtt_GetPackedQuad()
//
// "Load" a font file from a memory buffer (you have to keep the buffer loaded)
// stbtt_InitFont()
// stbtt_GetFontOffsetForIndex() -- indexing for TTC font collections
// stbtt_GetNumberOfFonts() -- number of fonts for TTC font collections
//
// Render a unicode codepoint to a bitmap
// stbtt_GetCodepointBitmap() -- allocates and returns a bitmap
// stbtt_MakeCodepointBitmap() -- renders into bitmap you provide
// stbtt_GetCodepointBitmapBox() -- how big the bitmap must be
//
// Character advance/positioning
// stbtt_GetCodepointHMetrics()
// stbtt_GetFontVMetrics()
// stbtt_GetFontVMetricsOS2()
// stbtt_GetCodepointKernAdvance()
//
// Starting with version 1.06, the rasterizer was replaced with a new,
// faster and generally-more-precise rasterizer. The new rasterizer more
// accurately measures pixel coverage for anti-aliasing, except in the case
// where multiple shapes overlap, in which case it overestimates the AA pixel
// coverage. Thus, anti-aliasing of intersecting shapes may look wrong. If
// this turns out to be a problem, you can re-enable the old rasterizer with
// #define STBTT_RASTERIZER_VERSION 1
// which will incur about a 15% speed hit.
//
// ADDITIONAL DOCUMENTATION
//
// Immediately after this block comment are a series of sample programs.
//
// After the sample programs is the "header file" section. This section
// includes documentation for each API function.
//
// Some important concepts to understand to use this library:
//
// Codepoint
// Characters are defined by unicode codepoints, e.g. 65 is
// uppercase A, 231 is lowercase c with a cedilla, 0x7e30 is
// the hiragana for "ma".
//
// Glyph
// A visual character shape (every codepoint is rendered as
// some glyph)
//
// Glyph index
// A font-specific integer ID representing a glyph
//
// Baseline
// Glyph shapes are defined relative to a baseline, which is the
// bottom of uppercase characters. Characters extend both above
// and below the baseline.
//
// Current Point
// As you draw text to the screen, you keep track of a "current point"
// which is the origin of each character. The current point's vertical
// position is the baseline. Even "baked fonts" use this model.
//
// Vertical Font Metrics
// The vertical qualities of the font, used to vertically position
// and space the characters. See docs for stbtt_GetFontVMetrics.
//
// Font Size in Pixels or Points
// The preferred interface for specifying font sizes in stb_truetype
// is to specify how tall the font's vertical extent should be in pixels.
// If that sounds good enough, skip the next paragraph.
//
// Most font APIs instead use "points", which are a common typographic
// measurement for describing font size, defined as 72 points per inch.
// stb_truetype provides a point API for compatibility. However, true
// "per inch" conventions don't make much sense on computer displays
// since different monitors have different number of pixels per
// inch. For example, Windows traditionally uses a convention that
// there are 96 pixels per inch, thus making 'inch' measurements have
// nothing to do with inches, and thus effectively defining a point to
// be 1.333 pixels. Additionally, the TrueType font data provides
// an explicit scale factor to scale a given font's glyphs to points,
// but the author has observed that this scale factor is often wrong
// for non-commercial fonts, thus making fonts scaled in points
// according to the TrueType spec incoherently sized in practice.
//
// DETAILED USAGE:
//
// Scale:
// Select how high you want the font to be, in points or pixels.
// Call ScaleForPixelHeight or ScaleForMappingEmToPixels to compute
// a scale factor SF that will be used by all other functions.
//
// Baseline:
// You need to select a y-coordinate that is the baseline of where
// your text will appear. Call GetFontBoundingBox to get the baseline-relative
// bounding box for all characters. SF*-y0 will be the distance in pixels
// that the worst-case character could extend above the baseline, so if
// you want the top edge of characters to appear at the top of the
// screen where y=0, then you would set the baseline to SF*-y0.
//
// Current point:
// Set the current point where the first character will appear. The
// first character could extend left of the current point; this is font
// dependent. You can either choose a current point that is the leftmost
// point and hope, or add some padding, or check the bounding box or
// left-side-bearing of the first character to be displayed and set
// the current point based on that.
//
// Displaying a character:
// Compute the bounding box of the character. It will contain signed values
// relative to <current_point, baseline>. I.e. if it returns x0,y0,x1,y1,
// then the character should be displayed in the rectangle from
// <current_point+SF*x0, baseline+SF*y0> to <current_point+SF*x1,baseline+SF*y1).
//
// Advancing for the next character:
// Call GlyphHMetrics, and compute 'current_point += SF * advance'.
//
//
// ADVANCED USAGE
//
// Quality:
//
// - Use the functions with Subpixel at the end to allow your characters
// to have subpixel positioning. Since the font is anti-aliased, not
// hinted, this is very import for quality. (This is not possible with
// baked fonts.)
//
// - Kerning is now supported, and if you're supporting subpixel rendering
// then kerning is worth using to give your text a polished look.
//
// Performance:
//
// - Convert Unicode codepoints to glyph indexes and operate on the glyphs;
// if you don't do this, stb_truetype is forced to do the conversion on
// every call.
//
// - There are a lot of memory allocations. We should modify it to take
// a temp buffer and allocate from the temp buffer (without freeing),
// should help performance a lot.
//
// NOTES
//
// The system uses the raw data found in the .ttf file without changing it
// and without building auxiliary data structures. This is a bit inefficient
// on little-endian systems (the data is big-endian), but assuming you're
// caching the bitmaps or glyph shapes this shouldn't be a big deal.
//
// It appears to be very hard to programmatically determine what font a
// given file is in a general way. I provide an API for this, but I don't
// recommend it.
//
//
// PERFORMANCE MEASUREMENTS FOR 1.06:
//
// 32-bit 64-bit
// Previous release: 8.83 s 7.68 s
// Pool allocations: 7.72 s 6.34 s
// Inline sort : 6.54 s 5.65 s
// New rasterizer : 5.63 s 5.00 s
//////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////////
////
//// SAMPLE PROGRAMS
////
//
// Incomplete text-in-3d-api example, which draws quads properly aligned to be lossless.
// See "tests/truetype_demo_win32.c" for a complete version.
#if 0
#define STB_TRUETYPE_IMPLEMENTATION // force following include to generate implementation
#include "stb_truetype.h"
unsigned char ttf_buffer[1<<20];
unsigned char temp_bitmap[512*512];
stbtt_bakedchar cdata[96]; // ASCII 32..126 is 95 glyphs
GLuint ftex;
void my_stbtt_initfont(void)
{
fread(ttf_buffer, 1, 1<<20, fopen("c:/windows/fonts/times.ttf", "rb"));
stbtt_BakeFontBitmap(ttf_buffer,0, 32.0, temp_bitmap,512,512, 32,96, cdata); // no guarantee this fits!
// can free ttf_buffer at this point
glGenTextures(1, &ftex);
glBindTexture(GL_TEXTURE_2D, ftex);
glTexImage2D(GL_TEXTURE_2D, 0, GL_ALPHA, 512,512, 0, GL_ALPHA, GL_UNSIGNED_BYTE, temp_bitmap);
// can free temp_bitmap at this point
glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_LINEAR);
}
void my_stbtt_print(float x, float y, char *text)
{
// assume orthographic projection with units = screen pixels, origin at top left
glEnable(GL_BLEND);
glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA);
glEnable(GL_TEXTURE_2D);
glBindTexture(GL_TEXTURE_2D, ftex);
glBegin(GL_QUADS);
while (*text) {
if (*text >= 32 && *text < 128) {
stbtt_aligned_quad q;
stbtt_GetBakedQuad(cdata, 512,512, *text-32, &x,&y,&q,1);//1=opengl & d3d10+,0=d3d9
glTexCoord2f(q.s0,q.t0); glVertex2f(q.x0,q.y0);
glTexCoord2f(q.s1,q.t0); glVertex2f(q.x1,q.y0);
glTexCoord2f(q.s1,q.t1); glVertex2f(q.x1,q.y1);
glTexCoord2f(q.s0,q.t1); glVertex2f(q.x0,q.y1);
}
++text;
}
glEnd();
}
#endif
//
//
//////////////////////////////////////////////////////////////////////////////
//
// Complete program (this compiles): get a single bitmap, print as ASCII art
//
#if 0
#include <stdio.h>
#define STB_TRUETYPE_IMPLEMENTATION // force following include to generate implementation
#include "stb_truetype.h"
char ttf_buffer[1<<25];
int main(int argc, char **argv)
{
stbtt_fontinfo font;
unsigned char *bitmap;
int w,h,i,j,c = (argc > 1 ? atoi(argv[1]) : 'a'), s = (argc > 2 ? atoi(argv[2]) : 20);
fread(ttf_buffer, 1, 1<<25, fopen(argc > 3 ? argv[3] : "c:/windows/fonts/arialbd.ttf", "rb"));
stbtt_InitFont(&font, ttf_buffer, stbtt_GetFontOffsetForIndex(ttf_buffer,0));
bitmap = stbtt_GetCodepointBitmap(&font, 0,stbtt_ScaleForPixelHeight(&font, s), c, &w, &h, 0,0);
for (j=0; j < h; ++j) {
for (i=0; i < w; ++i)
putchar(" .:ioVM@"[bitmap[j*w+i]>>5]);
putchar('\n');
}
return 0;
}
#endif
//
// Output:
//
// .ii.
// @@@@@@.
// V@Mio@@o
// :i. V@V
// :oM@@M
// :@@@MM@M
// @@o o@M
// :@@. M@M
// @@@o@@@@
// :M@@V:@@.
//
//////////////////////////////////////////////////////////////////////////////
//
// Complete program: print "Hello World!" banner, with bugs
//
#if 0
char buffer[24<<20];
unsigned char screen[20][79];
int main(int arg, char **argv)
{
stbtt_fontinfo font;
int i,j,ascent,baseline,ch=0;
float scale, xpos=2; // leave a little padding in case the character extends left
char *text = "Heljo World!"; // intentionally misspelled to show 'lj' brokenness
fread(buffer, 1, 1000000, fopen("c:/windows/fonts/arialbd.ttf", "rb"));
stbtt_InitFont(&font, buffer, 0);
scale = stbtt_ScaleForPixelHeight(&font, 15);
stbtt_GetFontVMetrics(&font, &ascent,0,0);
baseline = (int) (ascent*scale);
while (text[ch]) {
int advance,lsb,x0,y0,x1,y1;
float x_shift = xpos - (float) floor(xpos);
stbtt_GetCodepointHMetrics(&font, text[ch], &advance, &lsb);
stbtt_GetCodepointBitmapBoxSubpixel(&font, text[ch], scale,scale,x_shift,0, &x0,&y0,&x1,&y1);
stbtt_MakeCodepointBitmapSubpixel(&font, &screen[baseline + y0][(int) xpos + x0], x1-x0,y1-y0, 79, scale,scale,x_shift,0, text[ch]);
// note that this stomps the old data, so where character boxes overlap (e.g. 'lj') it's wrong
// because this API is really for baking character bitmaps into textures. if you want to render
// a sequence of characters, you really need to render each bitmap to a temp buffer, then
// "alpha blend" that into the working buffer
xpos += (advance * scale);
if (text[ch+1])
xpos += scale*stbtt_GetCodepointKernAdvance(&font, text[ch],text[ch+1]);
++ch;
}
for (j=0; j < 20; ++j) {
for (i=0; i < 78; ++i)
putchar(" .:ioVM@"[screen[j][i]>>5]);
putchar('\n');
}
return 0;
}
#endif
//////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////////
////
//// INTEGRATION WITH YOUR CODEBASE
////
//// The following sections allow you to supply alternate definitions
//// of C library functions used by stb_truetype, e.g. if you don't
//// link with the C runtime library.
#ifdef STB_TRUETYPE_IMPLEMENTATION
// #define your own (u)stbtt_int8/16/32 before including to override this
#ifndef stbtt_uint8
typedef unsigned char stbtt_uint8;
typedef signed char stbtt_int8;
typedef unsigned short stbtt_uint16;
typedef signed short stbtt_int16;
typedef unsigned int stbtt_uint32;
typedef signed int stbtt_int32;
#endif
typedef char stbtt__check_size32[sizeof(stbtt_int32)==4 ? 1 : -1];
typedef char stbtt__check_size16[sizeof(stbtt_int16)==2 ? 1 : -1];
// e.g. #define your own STBTT_ifloor/STBTT_iceil() to avoid math.h
#ifndef STBTT_ifloor
#include <math.h>
#define STBTT_ifloor(x) ((int) floor(x))
#define STBTT_iceil(x) ((int) ceil(x))
#endif
#ifndef STBTT_sqrt
#include <math.h>
#define STBTT_sqrt(x) sqrt(x)
#define STBTT_pow(x,y) pow(x,y)
#endif
#ifndef STBTT_fmod
#include <math.h>
#define STBTT_fmod(x,y) fmod(x,y)
#endif
#ifndef STBTT_cos
#include <math.h>
#define STBTT_cos(x) cos(x)
#define STBTT_acos(x) acos(x)
#endif
#ifndef STBTT_fabs
#include <math.h>
#define STBTT_fabs(x) fabs(x)
#endif
// #define your own functions "STBTT_malloc" / "STBTT_free" to avoid malloc.h
#ifndef STBTT_malloc
#include <stdlib.h>
#define STBTT_malloc(x,u) ((void)(u),malloc(x))
#define STBTT_free(x,u) ((void)(u),free(x))
#endif
#ifndef STBTT_assert
#include <assert.h>
#define STBTT_assert(x) assert(x)
#endif
#ifndef STBTT_strlen
#include <string.h>
#define STBTT_strlen(x) strlen(x)
#endif
#ifndef STBTT_memcpy
#include <string.h>
#define STBTT_memcpy memcpy
#define STBTT_memset memset
#endif
#endif
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
////
//// INTERFACE
////
////
#ifndef __STB_INCLUDE_STB_TRUETYPE_H__
#define __STB_INCLUDE_STB_TRUETYPE_H__
#ifdef STBTT_STATIC
#define STBTT_DEF static
#else
#define STBTT_DEF extern
#endif
#ifdef __cplusplus
extern "C" {
#endif
// private structure
typedef struct
{
unsigned char *data;
int cursor;
int size;
} stbtt__buf;
//////////////////////////////////////////////////////////////////////////////
//
// TEXTURE BAKING API
//
// If you use this API, you only have to call two functions ever.
//
typedef struct
{
unsigned short x0,y0,x1,y1; // coordinates of bbox in bitmap
float xoff,yoff,xadvance;
} stbtt_bakedchar;
STBTT_DEF int stbtt_BakeFontBitmap(const unsigned char *data, int offset, // font location (use offset=0 for plain .ttf)
float pixel_height, // height of font in pixels
unsigned char *pixels, int pw, int ph, // bitmap to be filled in
int first_char, int num_chars, // characters to bake
stbtt_bakedchar *chardata); // you allocate this, it's num_chars long
// if return is positive, the first unused row of the bitmap
// if return is negative, returns the negative of the number of characters that fit
// if return is 0, no characters fit and no rows were used
// This uses a very crappy packing.
typedef struct
{
float x0,y0,s0,t0; // top-left
float x1,y1,s1,t1; // bottom-right
} stbtt_aligned_quad;
STBTT_DEF void stbtt_GetBakedQuad(const stbtt_bakedchar *chardata, int pw, int ph, // same data as above
int char_index, // character to display
float *xpos, float *ypos, // pointers to current position in screen pixel space
stbtt_aligned_quad *q, // output: quad to draw
int opengl_fillrule); // true if opengl fill rule; false if DX9 or earlier
// Call GetBakedQuad with char_index = 'character - first_char', and it
// creates the quad you need to draw and advances the current position.
//
// The coordinate system used assumes y increases downwards.
//
// Characters will extend both above and below the current position;
// see discussion of "BASELINE" above.
//
// It's inefficient; you might want to c&p it and optimize it.
STBTT_DEF void stbtt_GetScaledFontVMetrics(const unsigned char *fontdata, int index, float size, float *ascent, float *descent, float *lineGap);
// Query the font vertical metrics without having to create a font first.
//////////////////////////////////////////////////////////////////////////////
//
// NEW TEXTURE BAKING API
//
// This provides options for packing multiple fonts into one atlas, not
// perfectly but better than nothing.
typedef struct
{
unsigned short x0,y0,x1,y1; // coordinates of bbox in bitmap
float xoff,yoff,xadvance;
float xoff2,yoff2;
} stbtt_packedchar;
typedef struct stbtt_pack_context stbtt_pack_context;
typedef struct stbtt_fontinfo stbtt_fontinfo;
#ifndef STB_RECT_PACK_VERSION
typedef struct stbrp_rect stbrp_rect;
#endif
STBTT_DEF int stbtt_PackBegin(stbtt_pack_context *spc, unsigned char *pixels, int width, int height, int stride_in_bytes, int padding, void *alloc_context);
// Initializes a packing context stored in the passed-in stbtt_pack_context.
// Future calls using this context will pack characters into the bitmap passed
// in here: a 1-channel bitmap that is width * height. stride_in_bytes is
// the distance from one row to the next (or 0 to mean they are packed tightly
// together). "padding" is the amount of padding to leave between each
// character (normally you want '1' for bitmaps you'll use as textures with
// bilinear filtering).
//
// Returns 0 on failure, 1 on success.
STBTT_DEF void stbtt_PackEnd (stbtt_pack_context *spc);
// Cleans up the packing context and frees all memory.
#define STBTT_POINT_SIZE(x) (-(x))
STBTT_DEF int stbtt_PackFontRange(stbtt_pack_context *spc, const unsigned char *fontdata, int font_index, float font_size,
int first_unicode_char_in_range, int num_chars_in_range, stbtt_packedchar *chardata_for_range);
// Creates character bitmaps from the font_index'th font found in fontdata (use
// font_index=0 if you don't know what that is). It creates num_chars_in_range
// bitmaps for characters with unicode values starting at first_unicode_char_in_range
// and increasing. Data for how to render them is stored in chardata_for_range;
// pass these to stbtt_GetPackedQuad to get back renderable quads.
//
// font_size is the full height of the character from ascender to descender,
// as computed by stbtt_ScaleForPixelHeight. To use a point size as computed
// by stbtt_ScaleForMappingEmToPixels, wrap the point size in STBTT_POINT_SIZE()
// and pass that result as 'font_size':
// ..., 20 , ... // font max minus min y is 20 pixels tall
// ..., STBTT_POINT_SIZE(20), ... // 'M' is 20 pixels tall
typedef struct
{
float font_size;
int first_unicode_codepoint_in_range; // if non-zero, then the chars are continuous, and this is the first codepoint
int *array_of_unicode_codepoints; // if non-zero, then this is an array of unicode codepoints
int num_chars;
stbtt_packedchar *chardata_for_range; // output
unsigned char h_oversample, v_oversample; // don't set these, they're used internally
} stbtt_pack_range;
STBTT_DEF int stbtt_PackFontRanges(stbtt_pack_context *spc, const unsigned char *fontdata, int font_index, stbtt_pack_range *ranges, int num_ranges);
// Creates character bitmaps from multiple ranges of characters stored in
// ranges. This will usually create a better-packed bitmap than multiple
// calls to stbtt_PackFontRange. Note that you can call this multiple
// times within a single PackBegin/PackEnd.
STBTT_DEF void stbtt_PackSetOversampling(stbtt_pack_context *spc, unsigned int h_oversample, unsigned int v_oversample);
// Oversampling a font increases the quality by allowing higher-quality subpixel
// positioning, and is especially valuable at smaller text sizes.
//
// This function sets the amount of oversampling for all following calls to
// stbtt_PackFontRange(s) or stbtt_PackFontRangesGatherRects for a given
// pack context. The default (no oversampling) is achieved by h_oversample=1
// and v_oversample=1. The total number of pixels required is
// h_oversample*v_oversample larger than the default; for example, 2x2
// oversampling requires 4x the storage of 1x1. For best results, render
// oversampled textures with bilinear filtering. Look at the readme in
// stb/tests/oversample for information about oversampled fonts
//
// To use with PackFontRangesGather etc., you must set it before calls
// call to PackFontRangesGatherRects.
STBTT_DEF void stbtt_PackSetSkipMissingCodepoints(stbtt_pack_context *spc, int skip);
// If skip != 0, this tells stb_truetype to skip any codepoints for which
// there is no corresponding glyph. If skip=0, which is the default, then
// codepoints without a glyph recived the font's "missing character" glyph,
// typically an empty box by convention.
STBTT_DEF void stbtt_GetPackedQuad(const stbtt_packedchar *chardata, int pw, int ph, // same data as above
int char_index, // character to display
float *xpos, float *ypos, // pointers to current position in screen pixel space
stbtt_aligned_quad *q, // output: quad to draw
int align_to_integer);
STBTT_DEF int stbtt_PackFontRangesGatherRects(stbtt_pack_context *spc, const stbtt_fontinfo *info, stbtt_pack_range *ranges, int num_ranges, stbrp_rect *rects);
STBTT_DEF void stbtt_PackFontRangesPackRects(stbtt_pack_context *spc, stbrp_rect *rects, int num_rects);
STBTT_DEF int stbtt_PackFontRangesRenderIntoRects(stbtt_pack_context *spc, const stbtt_fontinfo *info, stbtt_pack_range *ranges, int num_ranges, stbrp_rect *rects);
// Calling these functions in sequence is roughly equivalent to calling
// stbtt_PackFontRanges(). If you more control over the packing of multiple
// fonts, or if you want to pack custom data into a font texture, take a look
// at the source to of stbtt_PackFontRanges() and create a custom version
// using these functions, e.g. call GatherRects multiple times,
// building up a single array of rects, then call PackRects once,
// then call RenderIntoRects repeatedly. This may result in a
// better packing than calling PackFontRanges multiple times
// (or it may not).
// this is an opaque structure that you shouldn't mess with which holds
// all the context needed from PackBegin to PackEnd.
struct stbtt_pack_context {
void *user_allocator_context;
void *pack_info;
int width;
int height;
int stride_in_bytes;
int padding;
int skip_missing;
unsigned int h_oversample, v_oversample;
unsigned char *pixels;
void *nodes;
};
//////////////////////////////////////////////////////////////////////////////
//
// FONT LOADING
//
//
STBTT_DEF int stbtt_GetNumberOfFonts(const unsigned char *data);
// This function will determine the number of fonts in a font file. TrueType
// collection (.ttc) files may contain multiple fonts, while TrueType font
// (.ttf) files only contain one font. The number of fonts can be used for
// indexing with the previous function where the index is between zero and one
// less than the total fonts. If an error occurs, -1 is returned.
STBTT_DEF int stbtt_GetFontOffsetForIndex(const unsigned char *data, int index);
// Each .ttf/.ttc file may have more than one font. Each font has a sequential
// index number starting from 0. Call this function to get the font offset for
// a given index; it returns -1 if the index is out of range. A regular .ttf
// file will only define one font and it always be at offset 0, so it will
// return '0' for index 0, and -1 for all other indices.
// The following structure is defined publicly so you can declare one on
// the stack or as a global or etc, but you should treat it as opaque.
struct stbtt_fontinfo
{
void * userdata;
unsigned char * data; // pointer to .ttf file
int fontstart; // offset of start of font
int numGlyphs; // number of glyphs, needed for range checking
int loca,head,glyf,hhea,hmtx,kern,gpos,svg; // table locations as offset from start of .ttf
int index_map; // a cmap mapping for our chosen character encoding
int indexToLocFormat; // format needed to map from glyph index to glyph
stbtt__buf cff; // cff font data
stbtt__buf charstrings; // the charstring index
stbtt__buf gsubrs; // global charstring subroutines index
stbtt__buf subrs; // private charstring subroutines index
stbtt__buf fontdicts; // array of font dicts
stbtt__buf fdselect; // map from glyph to fontdict
};
STBTT_DEF int stbtt_InitFont(stbtt_fontinfo *info, const unsigned char *data, int offset);
// Given an offset into the file that defines a font, this function builds
// the necessary cached info for the rest of the system. You must allocate
// the stbtt_fontinfo yourself, and stbtt_InitFont will fill it out. You don't
// need to do anything special to free it, because the contents are pure
// value data with no additional data structures. Returns 0 on failure.
//////////////////////////////////////////////////////////////////////////////
//
// CHARACTER TO GLYPH-INDEX CONVERSIOn
STBTT_DEF int stbtt_FindGlyphIndex(const stbtt_fontinfo *info, int unicode_codepoint);
// If you're going to perform multiple operations on the same character
// and you want a speed-up, call this function with the character you're
// going to process, then use glyph-based functions instead of the
// codepoint-based functions.
// Returns 0 if the character codepoint is not defined in the font.
//////////////////////////////////////////////////////////////////////////////
//
// CHARACTER PROPERTIES
//
STBTT_DEF float stbtt_ScaleForPixelHeight(const stbtt_fontinfo *info, float pixels);
// computes a scale factor to produce a font whose "height" is 'pixels' tall.
// Height is measured as the distance from the highest ascender to the lowest
// descender; in other words, it's equivalent to calling stbtt_GetFontVMetrics
// and computing:
// scale = pixels / (ascent - descent)
// so if you prefer to measure height by the ascent only, use a similar calculation.
STBTT_DEF float stbtt_ScaleForMappingEmToPixels(const stbtt_fontinfo *info, float pixels);
// computes a scale factor to produce a font whose EM size is mapped to
// 'pixels' tall. This is probably what traditional APIs compute, but
// I'm not positive.
STBTT_DEF void stbtt_GetFontVMetrics(const stbtt_fontinfo *info, int *ascent, int *descent, int *lineGap);
// ascent is the coordinate above the baseline the font extends; descent
// is the coordinate below the baseline the font extends (i.e. it is typically negative)
// lineGap is the spacing between one row's descent and the next row's ascent...
// so you should advance the vertical position by "*ascent - *descent + *lineGap"
// these are expressed in unscaled coordinates, so you must multiply by
// the scale factor for a given size
STBTT_DEF int stbtt_GetFontVMetricsOS2(const stbtt_fontinfo *info, int *typoAscent, int *typoDescent, int *typoLineGap);
// analogous to GetFontVMetrics, but returns the "typographic" values from the OS/2
// table (specific to MS/Windows TTF files).
//
// Returns 1 on success (table present), 0 on failure.
STBTT_DEF void stbtt_GetFontBoundingBox(const stbtt_fontinfo *info, int *x0, int *y0, int *x1, int *y1);
// the bounding box around all possible characters
STBTT_DEF void stbtt_GetCodepointHMetrics(const stbtt_fontinfo *info, int codepoint, int *advanceWidth, int *leftSideBearing);
// leftSideBearing is the offset from the current horizontal position to the left edge of the character
// advanceWidth is the offset from the current horizontal position to the next horizontal position
// these are expressed in unscaled coordinates
STBTT_DEF int stbtt_GetCodepointKernAdvance(const stbtt_fontinfo *info, int ch1, int ch2);
// an additional amount to add to the 'advance' value between ch1 and ch2
STBTT_DEF int stbtt_GetCodepointBox(const stbtt_fontinfo *info, int codepoint, int *x0, int *y0, int *x1, int *y1);
// Gets the bounding box of the visible part of the glyph, in unscaled coordinates
STBTT_DEF void stbtt_GetGlyphHMetrics(const stbtt_fontinfo *info, int glyph_index, int *advanceWidth, int *leftSideBearing);
STBTT_DEF int stbtt_GetGlyphKernAdvance(const stbtt_fontinfo *info, int glyph1, int glyph2);
STBTT_DEF int stbtt_GetGlyphBox(const stbtt_fontinfo *info, int glyph_index, int *x0, int *y0, int *x1, int *y1);
// as above, but takes one or more glyph indices for greater efficiency
typedef struct stbtt_kerningentry
{
int glyph1; // use stbtt_FindGlyphIndex
int glyph2;
int advance;
} stbtt_kerningentry;
STBTT_DEF int stbtt_GetKerningTableLength(const stbtt_fontinfo *info);
STBTT_DEF int stbtt_GetKerningTable(const stbtt_fontinfo *info, stbtt_kerningentry* table, int table_length);
// Retrieves a complete list of all of the kerning pairs provided by the font
// stbtt_GetKerningTable never writes more than table_length entries and returns how many entries it did write.
// The table will be sorted by (a.glyph1 == b.glyph1)?(a.glyph2 < b.glyph2):(a.glyph1 < b.glyph1)
//////////////////////////////////////////////////////////////////////////////
//
// GLYPH SHAPES (you probably don't need these, but they have to go before
// the bitmaps for C declaration-order reasons)
//
#ifndef STBTT_vmove // you can predefine these to use different values (but why?)
enum {
STBTT_vmove=1,
STBTT_vline,
STBTT_vcurve,
STBTT_vcubic
};
#endif
#ifndef stbtt_vertex // you can predefine this to use different values
// (we share this with other code at RAD)
#define stbtt_vertex_type short // can't use stbtt_int16 because that's not visible in the header file
typedef struct
{
stbtt_vertex_type x,y,cx,cy,cx1,cy1;
unsigned char type,padding;
} stbtt_vertex;
#endif
STBTT_DEF int stbtt_IsGlyphEmpty(const stbtt_fontinfo *info, int glyph_index);
// returns non-zero if nothing is drawn for this glyph
STBTT_DEF int stbtt_GetCodepointShape(const stbtt_fontinfo *info, int unicode_codepoint, stbtt_vertex **vertices);
STBTT_DEF int stbtt_GetGlyphShape(const stbtt_fontinfo *info, int glyph_index, stbtt_vertex **vertices);
// returns # of vertices and fills *vertices with the pointer to them
// these are expressed in "unscaled" coordinates
//
// The shape is a series of contours. Each one starts with
// a STBTT_moveto, then consists of a series of mixed
// STBTT_lineto and STBTT_curveto segments. A lineto
// draws a line from previous endpoint to its x,y; a curveto
// draws a quadratic bezier from previous endpoint to
// its x,y, using cx,cy as the bezier control point.
STBTT_DEF void stbtt_FreeShape(const stbtt_fontinfo *info, stbtt_vertex *vertices);
// frees the data allocated above
STBTT_DEF unsigned char *stbtt_FindSVGDoc(const stbtt_fontinfo *info, int gl);
STBTT_DEF int stbtt_GetCodepointSVG(const stbtt_fontinfo *info, int unicode_codepoint, const char **svg);
STBTT_DEF int stbtt_GetGlyphSVG(const stbtt_fontinfo *info, int gl, const char **svg);
// fills svg with the character's SVG data.
// returns data size or 0 if SVG not found.
//////////////////////////////////////////////////////////////////////////////
//
// BITMAP RENDERING
//
STBTT_DEF void stbtt_FreeBitmap(unsigned char *bitmap, void *userdata);
// frees the bitmap allocated below
STBTT_DEF unsigned char *stbtt_GetCodepointBitmap(const stbtt_fontinfo *info, float scale_x, float scale_y, int codepoint, int *width, int *height, int *xoff, int *yoff);
// allocates a large-enough single-channel 8bpp bitmap and renders the
// specified character/glyph at the specified scale into it, with
// antialiasing. 0 is no coverage (transparent), 255 is fully covered (opaque).
// *width & *height are filled out with the width & height of the bitmap,
// which is stored left-to-right, top-to-bottom.
//
// xoff/yoff are the offset it pixel space from the glyph origin to the top-left of the bitmap
STBTT_DEF unsigned char *stbtt_GetCodepointBitmapSubpixel(const stbtt_fontinfo *info, float scale_x, float scale_y, float shift_x, float shift_y, int codepoint, int *width, int *height, int *xoff, int *yoff);
// the same as stbtt_GetCodepoitnBitmap, but you can specify a subpixel
// shift for the character
STBTT_DEF void stbtt_MakeCodepointBitmap(const stbtt_fontinfo *info, unsigned char *output, int out_w, int out_h, int out_stride, float scale_x, float scale_y, int codepoint);
// the same as stbtt_GetCodepointBitmap, but you pass in storage for the bitmap
// in the form of 'output', with row spacing of 'out_stride' bytes. the bitmap
// is clipped to out_w/out_h bytes. Call stbtt_GetCodepointBitmapBox to get the
// width and height and positioning info for it first.
STBTT_DEF void stbtt_MakeCodepointBitmapSubpixel(const stbtt_fontinfo *info, unsigned char *output, int out_w, int out_h, int out_stride, float scale_x, float scale_y, float shift_x, float shift_y, int codepoint);
// same as stbtt_MakeCodepointBitmap, but you can specify a subpixel
// shift for the character
STBTT_DEF void stbtt_MakeCodepointBitmapSubpixelPrefilter(const stbtt_fontinfo *info, unsigned char *output, int out_w, int out_h, int out_stride, float scale_x, float scale_y, float shift_x, float shift_y, int oversample_x, int oversample_y, float *sub_x, float *sub_y, int codepoint);
// same as stbtt_MakeCodepointBitmapSubpixel, but prefiltering
// is performed (see stbtt_PackSetOversampling)
STBTT_DEF void stbtt_GetCodepointBitmapBox(const stbtt_fontinfo *font, int codepoint, float scale_x, float scale_y, int *ix0, int *iy0, int *ix1, int *iy1);
// get the bbox of the bitmap centered around the glyph origin; so the
// bitmap width is ix1-ix0, height is iy1-iy0, and location to place
// the bitmap top left is (leftSideBearing*scale,iy0).
// (Note that the bitmap uses y-increases-down, but the shape uses
// y-increases-up, so CodepointBitmapBox and CodepointBox are inverted.)
STBTT_DEF void stbtt_GetCodepointBitmapBoxSubpixel(const stbtt_fontinfo *font, int codepoint, float scale_x, float scale_y, float shift_x, float shift_y, int *ix0, int *iy0, int *ix1, int *iy1);
// same as stbtt_GetCodepointBitmapBox, but you can specify a subpixel
// shift for the character
// the following functions are equivalent to the above functions, but operate
// on glyph indices instead of Unicode codepoints (for efficiency)
STBTT_DEF unsigned char *stbtt_GetGlyphBitmap(const stbtt_fontinfo *info, float scale_x, float scale_y, int glyph, int *width, int *height, int *xoff, int *yoff);
STBTT_DEF unsigned char *stbtt_GetGlyphBitmapSubpixel(const stbtt_fontinfo *info, float scale_x, float scale_y, float shift_x, float shift_y, int glyph, int *width, int *height, int *xoff, int *yoff);
STBTT_DEF void stbtt_MakeGlyphBitmap(const stbtt_fontinfo *info, unsigned char *output, int out_w, int out_h, int out_stride, float scale_x, float scale_y, int glyph);
STBTT_DEF void stbtt_MakeGlyphBitmapSubpixel(const stbtt_fontinfo *info, unsigned char *output, int out_w, int out_h, int out_stride, float scale_x, float scale_y, float shift_x, float shift_y, int glyph);
STBTT_DEF void stbtt_MakeGlyphBitmapSubpixelPrefilter(const stbtt_fontinfo *info, unsigned char *output, int out_w, int out_h, int out_stride, float scale_x, float scale_y, float shift_x, float shift_y, int oversample_x, int oversample_y, float *sub_x, float *sub_y, int glyph);
STBTT_DEF void stbtt_GetGlyphBitmapBox(const stbtt_fontinfo *font, int glyph, float scale_x, float scale_y, int *ix0, int *iy0, int *ix1, int *iy1);
STBTT_DEF void stbtt_GetGlyphBitmapBoxSubpixel(const stbtt_fontinfo *font, int glyph, float scale_x, float scale_y,float shift_x, float shift_y, int *ix0, int *iy0, int *ix1, int *iy1);
// @TODO: don't expose this structure
typedef struct
{
int w,h,stride;
unsigned char *pixels;
} stbtt__bitmap;
// rasterize a shape with quadratic beziers into a bitmap
STBTT_DEF void stbtt_Rasterize(stbtt__bitmap *result, // 1-channel bitmap to draw into
float flatness_in_pixels, // allowable error of curve in pixels
stbtt_vertex *vertices, // array of vertices defining shape
int num_verts, // number of vertices in above array
float scale_x, float scale_y, // scale applied to input vertices
float shift_x, float shift_y, // translation applied to input vertices
int x_off, int y_off, // another translation applied to input
int invert, // if non-zero, vertically flip shape
void *userdata); // context for to STBTT_MALLOC
//////////////////////////////////////////////////////////////////////////////
//
// Signed Distance Function (or Field) rendering
STBTT_DEF void stbtt_FreeSDF(unsigned char *bitmap, void *userdata);
// frees the SDF bitmap allocated below
STBTT_DEF unsigned char * stbtt_GetGlyphSDF(const stbtt_fontinfo *info, float scale, int glyph, int padding, unsigned char onedge_value, float pixel_dist_scale, int *width, int *height, int *xoff, int *yoff);
STBTT_DEF unsigned char * stbtt_GetCodepointSDF(const stbtt_fontinfo *info, float scale, int codepoint, int padding, unsigned char onedge_value, float pixel_dist_scale, int *width, int *height, int *xoff, int *yoff);
// These functions compute a discretized SDF field for a single character, suitable for storing
// in a single-channel texture, sampling with bilinear filtering, and testing against
// larger than some threshold to produce scalable fonts.
// info -- the font
// scale -- controls the size of the resulting SDF bitmap, same as it would be creating a regular bitmap
// glyph/codepoint -- the character to generate the SDF for
// padding -- extra "pixels" around the character which are filled with the distance to the character (not 0),
// which allows effects like bit outlines
// onedge_value -- value 0-255 to test the SDF against to reconstruct the character (i.e. the isocontour of the character)
// pixel_dist_scale -- what value the SDF should increase by when moving one SDF "pixel" away from the edge (on the 0..255 scale)
// if positive, > onedge_value is inside; if negative, < onedge_value is inside
// width,height -- output height & width of the SDF bitmap (including padding)
// xoff,yoff -- output origin of the character
// return value -- a 2D array of bytes 0..255, width*height in size
//
// pixel_dist_scale & onedge_value are a scale & bias that allows you to make
// optimal use of the limited 0..255 for your application, trading off precision
// and special effects. SDF values outside the range 0..255 are clamped to 0..255.
//
// Example:
// scale = stbtt_ScaleForPixelHeight(22)
// padding = 5
// onedge_value = 180
// pixel_dist_scale = 180/5.0 = 36.0
//
// This will create an SDF bitmap in which the character is about 22 pixels
// high but the whole bitmap is about 22+5+5=32 pixels high. To produce a filled
// shape, sample the SDF at each pixel and fill the pixel if the SDF value
// is greater than or equal to 180/255. (You'll actually want to antialias,
// which is beyond the scope of this example.) Additionally, you can compute
// offset outlines (e.g. to stroke the character border inside & outside,
// or only outside). For example, to fill outside the character up to 3 SDF
// pixels, you would compare against (180-36.0*3)/255 = 72/255. The above
// choice of variables maps a range from 5 pixels outside the shape to
// 2 pixels inside the shape to 0..255; this is intended primarily for apply
// outside effects only (the interior range is needed to allow proper
// antialiasing of the font at *smaller* sizes)
//
// The function computes the SDF analytically at each SDF pixel, not by e.g.
// building a higher-res bitmap and approximating it. In theory the quality
// should be as high as possible for an SDF of this size & representation, but
// unclear if this is true in practice (perhaps building a higher-res bitmap
// and computing from that can allow drop-out prevention).
//
// The algorithm has not been optimized at all, so expect it to be slow
// if computing lots of characters or very large sizes.
//////////////////////////////////////////////////////////////////////////////
//
// Finding the right font...
//
// You should really just solve this offline, keep your own tables
// of what font is what, and don't try to get it out of the .ttf file.
// That's because getting it out of the .ttf file is really hard, because
// the names in the file can appear in many possible encodings, in many
// possible languages, and e.g. if you need a case-insensitive comparison,
// the details of that depend on the encoding & language in a complex way
// (actually underspecified in truetype, but also gigantic).
//
// But you can use the provided functions in two possible ways:
// stbtt_FindMatchingFont() will use *case-sensitive* comparisons on
// unicode-encoded names to try to find the font you want;
// you can run this before calling stbtt_InitFont()
//
// stbtt_GetFontNameString() lets you get any of the various strings
// from the file yourself and do your own comparisons on them.
// You have to have called stbtt_InitFont() first.
STBTT_DEF int stbtt_FindMatchingFont(const unsigned char *fontdata, const char *name, int flags);
// returns the offset (not index) of the font that matches, or -1 if none
// if you use STBTT_MACSTYLE_DONTCARE, use a font name like "Arial Bold".
// if you use any other flag, use a font name like "Arial"; this checks
// the 'macStyle' header field; i don't know if fonts set this consistently
#define STBTT_MACSTYLE_DONTCARE 0
#define STBTT_MACSTYLE_BOLD 1
#define STBTT_MACSTYLE_ITALIC 2
#define STBTT_MACSTYLE_UNDERSCORE 4
#define STBTT_MACSTYLE_NONE 8 // <= not same as 0, this makes us check the bitfield is 0
STBTT_DEF int stbtt_CompareUTF8toUTF16_bigendian(const char *s1, int len1, const char *s2, int len2);
// returns 1/0 whether the first string interpreted as utf8 is identical to
// the second string interpreted as big-endian utf16... useful for strings from next func
STBTT_DEF const char *stbtt_GetFontNameString(const stbtt_fontinfo *font, int *length, int platformID, int encodingID, int languageID, int nameID);
// returns the string (which may be big-endian double byte, e.g. for unicode)
// and puts the length in bytes in *length.
//
// some of the values for the IDs are below; for more see the truetype spec:
// http://developer.apple.com/textfonts/TTRefMan/RM06/Chap6name.html
// http://www.microsoft.com/typography/otspec/name.htm
enum { // platformID
STBTT_PLATFORM_ID_UNICODE =0,
STBTT_PLATFORM_ID_MAC =1,
STBTT_PLATFORM_ID_ISO =2,
STBTT_PLATFORM_ID_MICROSOFT =3
};
enum { // encodingID for STBTT_PLATFORM_ID_UNICODE
STBTT_UNICODE_EID_UNICODE_1_0 =0,
STBTT_UNICODE_EID_UNICODE_1_1 =1,
STBTT_UNICODE_EID_ISO_10646 =2,
STBTT_UNICODE_EID_UNICODE_2_0_BMP=3,
STBTT_UNICODE_EID_UNICODE_2_0_FULL=4
};
enum { // encodingID for STBTT_PLATFORM_ID_MICROSOFT
STBTT_MS_EID_SYMBOL =0,
STBTT_MS_EID_UNICODE_BMP =1,
STBTT_MS_EID_SHIFTJIS =2,
STBTT_MS_EID_UNICODE_FULL =10
};
enum { // encodingID for STBTT_PLATFORM_ID_MAC; same as Script Manager codes
STBTT_MAC_EID_ROMAN =0, STBTT_MAC_EID_ARABIC =4,
STBTT_MAC_EID_JAPANESE =1, STBTT_MAC_EID_HEBREW =5,
STBTT_MAC_EID_CHINESE_TRAD =2, STBTT_MAC_EID_GREEK =6,
STBTT_MAC_EID_KOREAN =3, STBTT_MAC_EID_RUSSIAN =7
};
enum { // languageID for STBTT_PLATFORM_ID_MICROSOFT; same as LCID...
// problematic because there are e.g. 16 english LCIDs and 16 arabic LCIDs
STBTT_MS_LANG_ENGLISH =0x0409, STBTT_MS_LANG_ITALIAN =0x0410,
STBTT_MS_LANG_CHINESE =0x0804, STBTT_MS_LANG_JAPANESE =0x0411,
STBTT_MS_LANG_DUTCH =0x0413, STBTT_MS_LANG_KOREAN =0x0412,
STBTT_MS_LANG_FRENCH =0x040c, STBTT_MS_LANG_RUSSIAN =0x0419,
STBTT_MS_LANG_GERMAN =0x0407, STBTT_MS_LANG_SPANISH =0x0409,
STBTT_MS_LANG_HEBREW =0x040d, STBTT_MS_LANG_SWEDISH =0x041D
};
enum { // languageID for STBTT_PLATFORM_ID_MAC
STBTT_MAC_LANG_ENGLISH =0 , STBTT_MAC_LANG_JAPANESE =11,
STBTT_MAC_LANG_ARABIC =12, STBTT_MAC_LANG_KOREAN =23,
STBTT_MAC_LANG_DUTCH =4 , STBTT_MAC_LANG_RUSSIAN =32,
STBTT_MAC_LANG_FRENCH =1 , STBTT_MAC_LANG_SPANISH =6 ,
STBTT_MAC_LANG_GERMAN =2 , STBTT_MAC_LANG_SWEDISH =5 ,
STBTT_MAC_LANG_HEBREW =10, STBTT_MAC_LANG_CHINESE_SIMPLIFIED =33,
STBTT_MAC_LANG_ITALIAN =3 , STBTT_MAC_LANG_CHINESE_TRAD =19
};
#ifdef __cplusplus
}
#endif
#endif // __STB_INCLUDE_STB_TRUETYPE_H__
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
////
//// IMPLEMENTATION
////
////
#ifdef STB_TRUETYPE_IMPLEMENTATION
#ifndef STBTT_MAX_OVERSAMPLE
#define STBTT_MAX_OVERSAMPLE 8
#endif
#if STBTT_MAX_OVERSAMPLE > 255
#error "STBTT_MAX_OVERSAMPLE cannot be > 255"
#endif
typedef int stbtt__test_oversample_pow2[(STBTT_MAX_OVERSAMPLE & (STBTT_MAX_OVERSAMPLE-1)) == 0 ? 1 : -1];
#ifndef STBTT_RASTERIZER_VERSION
#define STBTT_RASTERIZER_VERSION 2
#endif
#ifdef _MSC_VER
#define STBTT__NOTUSED(v) (void)(v)
#else
#define STBTT__NOTUSED(v) (void)sizeof(v)
#endif
//////////////////////////////////////////////////////////////////////////
//
// stbtt__buf helpers to parse data from file
//
static stbtt_uint8 stbtt__buf_get8(stbtt__buf *b)
{
if (b->cursor >= b->size)
return 0;
return b->data[b->cursor++];
}
static stbtt_uint8 stbtt__buf_peek8(stbtt__buf *b)
{
if (b->cursor >= b->size)
return 0;
return b->data[b->cursor];
}
static void stbtt__buf_seek(stbtt__buf *b, int o)
{
STBTT_assert(!(o > b->size || o < 0));
b->cursor = (o > b->size || o < 0) ? b->size : o;
}
static void stbtt__buf_skip(stbtt__buf *b, int o)
{
stbtt__buf_seek(b, b->cursor + o);
}
static stbtt_uint32 stbtt__buf_get(stbtt__buf *b, int n)
{
stbtt_uint32 v = 0;
int i;
STBTT_assert(n >= 1 && n <= 4);
for (i = 0; i < n; i++)
v = (v << 8) | stbtt__buf_get8(b);
return v;
}
static stbtt__buf stbtt__new_buf(const void *p, size_t size)
{
stbtt__buf r;
STBTT_assert(size < 0x40000000);
r.data = (stbtt_uint8*) p;
r.size = (int) size;
r.cursor = 0;
return r;
}
#define stbtt__buf_get16(b) stbtt__buf_get((b), 2)
#define stbtt__buf_get32(b) stbtt__buf_get((b), 4)
static stbtt__buf stbtt__buf_range(const stbtt__buf *b, int o, int s)
{
stbtt__buf r = stbtt__new_buf(NULL, 0);
if (o < 0 || s < 0 || o > b->size || s > b->size - o) return r;
r.data = b->data + o;
r.size = s;
return r;
}
static stbtt__buf stbtt__cff_get_index(stbtt__buf *b)
{
int count, start, offsize;
start = b->cursor;
count = stbtt__buf_get16(b);
if (count) {
offsize = stbtt__buf_get8(b);
STBTT_assert(offsize >= 1 && offsize <= 4);
stbtt__buf_skip(b, offsize * count);
stbtt__buf_skip(b, stbtt__buf_get(b, offsize) - 1);
}
return stbtt__buf_range(b, start, b->cursor - start);
}
static stbtt_uint32 stbtt__cff_int(stbtt__buf *b)
{
int b0 = stbtt__buf_get8(b);
if (b0 >= 32 && b0 <= 246) return b0 - 139;
else if (b0 >= 247 && b0 <= 250) return (b0 - 247)*256 + stbtt__buf_get8(b) + 108;
else if (b0 >= 251 && b0 <= 254) return -(b0 - 251)*256 - stbtt__buf_get8(b) - 108;
else if (b0 == 28) return stbtt__buf_get16(b);
else if (b0 == 29) return stbtt__buf_get32(b);
STBTT_assert(0);
return 0;
}
static void stbtt__cff_skip_operand(stbtt__buf *b) {
int v, b0 = stbtt__buf_peek8(b);
STBTT_assert(b0 >= 28);
if (b0 == 30) {
stbtt__buf_skip(b, 1);
while (b->cursor < b->size) {
v = stbtt__buf_get8(b);
if ((v & 0xF) == 0xF || (v >> 4) == 0xF)
break;
}
} else {
stbtt__cff_int(b);
}
}
static stbtt__buf stbtt__dict_get(stbtt__buf *b, int key)
{
stbtt__buf_seek(b, 0);
while (b->cursor < b->size) {
int start = b->cursor, end, op;
while (stbtt__buf_peek8(b) >= 28)
stbtt__cff_skip_operand(b);
end = b->cursor;
op = stbtt__buf_get8(b);
if (op == 12) op = stbtt__buf_get8(b) | 0x100;
if (op == key) return stbtt__buf_range(b, start, end-start);
}
return stbtt__buf_range(b, 0, 0);
}
static void stbtt__dict_get_ints(stbtt__buf *b, int key, int outcount, stbtt_uint32 *out)
{
int i;
stbtt__buf operands = stbtt__dict_get(b, key);
for (i = 0; i < outcount && operands.cursor < operands.size; i++)
out[i] = stbtt__cff_int(&operands);
}
static int stbtt__cff_index_count(stbtt__buf *b)
{
stbtt__buf_seek(b, 0);
return stbtt__buf_get16(b);
}
static stbtt__buf stbtt__cff_index_get(stbtt__buf b, int i)
{
int count, offsize, start, end;
stbtt__buf_seek(&b, 0);
count = stbtt__buf_get16(&b);
offsize = stbtt__buf_get8(&b);
STBTT_assert(i >= 0 && i < count);
STBTT_assert(offsize >= 1 && offsize <= 4);
stbtt__buf_skip(&b, i*offsize);
start = stbtt__buf_get(&b, offsize);
end = stbtt__buf_get(&b, offsize);
return stbtt__buf_range(&b, 2+(count+1)*offsize+start, end - start);
}
//////////////////////////////////////////////////////////////////////////
//
// accessors to parse data from file
//
// on platforms that don't allow misaligned reads, if we want to allow
// truetype fonts that aren't padded to alignment, define ALLOW_UNALIGNED_TRUETYPE
#define ttBYTE(p) (* (stbtt_uint8 *) (p))
#define ttCHAR(p) (* (stbtt_int8 *) (p))
#define ttFixed(p) ttLONG(p)
static stbtt_uint16 ttUSHORT(stbtt_uint8 *p) { return p[0]*256 + p[1]; }
static stbtt_int16 ttSHORT(stbtt_uint8 *p) { return p[0]*256 + p[1]; }
static stbtt_uint32 ttULONG(stbtt_uint8 *p) { return (p[0]<<24) + (p[1]<<16) + (p[2]<<8) + p[3]; }
static stbtt_int32 ttLONG(stbtt_uint8 *p) { return (p[0]<<24) + (p[1]<<16) + (p[2]<<8) + p[3]; }
#define stbtt_tag4(p,c0,c1,c2,c3) ((p)[0] == (c0) && (p)[1] == (c1) && (p)[2] == (c2) && (p)[3] == (c3))
#define stbtt_tag(p,str) stbtt_tag4(p,str[0],str[1],str[2],str[3])
static int stbtt__isfont(stbtt_uint8 *font)
{
// check the version number
if (stbtt_tag4(font, '1',0,0,0)) return 1; // TrueType 1
if (stbtt_tag(font, "typ1")) return 1; // TrueType with type 1 font -- we don't support this!
if (stbtt_tag(font, "OTTO")) return 1; // OpenType with CFF
if (stbtt_tag4(font, 0,1,0,0)) return 1; // OpenType 1.0
if (stbtt_tag(font, "true")) return 1; // Apple specification for TrueType fonts
return 0;
}
// @OPTIMIZE: binary search
static stbtt_uint32 stbtt__find_table(stbtt_uint8 *data, stbtt_uint32 fontstart, const char *tag)
{
stbtt_int32 num_tables = ttUSHORT(data+fontstart+4);
stbtt_uint32 tabledir = fontstart + 12;
stbtt_int32 i;
for (i=0; i < num_tables; ++i) {
stbtt_uint32 loc = tabledir + 16*i;
if (stbtt_tag(data+loc+0, tag))
return ttULONG(data+loc+8);
}
return 0;
}
static int stbtt_GetFontOffsetForIndex_internal(unsigned char *font_collection, int index)
{
// if it's just a font, there's only one valid index
if (stbtt__isfont(font_collection))
return index == 0 ? 0 : -1;
// check if it's a TTC
if (stbtt_tag(font_collection, "ttcf")) {
// version 1?
if (ttULONG(font_collection+4) == 0x00010000 || ttULONG(font_collection+4) == 0x00020000) {
stbtt_int32 n = ttLONG(font_collection+8);
if (index >= n)
return -1;
return ttULONG(font_collection+12+index*4);
}
}
return -1;
}
static int stbtt_GetNumberOfFonts_internal(unsigned char *font_collection)
{
// if it's just a font, there's only one valid font
if (stbtt__isfont(font_collection))
return 1;
// check if it's a TTC
if (stbtt_tag(font_collection, "ttcf")) {
// version 1?
if (ttULONG(font_collection+4) == 0x00010000 || ttULONG(font_collection+4) == 0x00020000) {
return ttLONG(font_collection+8);
}
}
return 0;
}
static stbtt__buf stbtt__get_subrs(stbtt__buf cff, stbtt__buf fontdict)
{
stbtt_uint32 subrsoff = 0, private_loc[2] = { 0, 0 };
stbtt__buf pdict;
stbtt__dict_get_ints(&fontdict, 18, 2, private_loc);
if (!private_loc[1] || !private_loc[0]) return stbtt__new_buf(NULL, 0);
pdict = stbtt__buf_range(&cff, private_loc[1], private_loc[0]);
stbtt__dict_get_ints(&pdict, 19, 1, &subrsoff);
if (!subrsoff) return stbtt__new_buf(NULL, 0);
stbtt__buf_seek(&cff, private_loc[1]+subrsoff);
return stbtt__cff_get_index(&cff);
}
// since most people won't use this, find this table the first time it's needed
static int stbtt__get_svg(stbtt_fontinfo *info)
{
stbtt_uint32 t;
if (info->svg < 0) {
t = stbtt__find_table(info->data, info->fontstart, "SVG ");
if (t) {
stbtt_uint32 offset = ttULONG(info->data + t + 2);
info->svg = t + offset;
} else {
info->svg = 0;
}
}
return info->svg;
}
static int stbtt_InitFont_internal(stbtt_fontinfo *info, unsigned char *data, int fontstart)
{
stbtt_uint32 cmap, t;
stbtt_int32 i,numTables;
info->data = data;
info->fontstart = fontstart;
info->cff = stbtt__new_buf(NULL, 0);
cmap = stbtt__find_table(data, fontstart, "cmap"); // required
info->loca = stbtt__find_table(data, fontstart, "loca"); // required
info->head = stbtt__find_table(data, fontstart, "head"); // required
info->glyf = stbtt__find_table(data, fontstart, "glyf"); // required
info->hhea = stbtt__find_table(data, fontstart, "hhea"); // required
info->hmtx = stbtt__find_table(data, fontstart, "hmtx"); // required
info->kern = stbtt__find_table(data, fontstart, "kern"); // not required
info->gpos = stbtt__find_table(data, fontstart, "GPOS"); // not required
if (!cmap || !info->head || !info->hhea || !info->hmtx)
return 0;
if (info->glyf) {
// required for truetype
if (!info->loca) return 0;
} else {
// initialization for CFF / Type2 fonts (OTF)
stbtt__buf b, topdict, topdictidx;
stbtt_uint32 cstype = 2, charstrings = 0, fdarrayoff = 0, fdselectoff = 0;
stbtt_uint32 cff;
cff = stbtt__find_table(data, fontstart, "CFF ");
if (!cff) return 0;
info->fontdicts = stbtt__new_buf(NULL, 0);
info->fdselect = stbtt__new_buf(NULL, 0);
// @TODO this should use size from table (not 512MB)
info->cff = stbtt__new_buf(data+cff, 512*1024*1024);
b = info->cff;
// read the header
stbtt__buf_skip(&b, 2);
stbtt__buf_seek(&b, stbtt__buf_get8(&b)); // hdrsize
// @TODO the name INDEX could list multiple fonts,
// but we just use the first one.
stbtt__cff_get_index(&b); // name INDEX
topdictidx = stbtt__cff_get_index(&b);
topdict = stbtt__cff_index_get(topdictidx, 0);
stbtt__cff_get_index(&b); // string INDEX
info->gsubrs = stbtt__cff_get_index(&b);
stbtt__dict_get_ints(&topdict, 17, 1, &charstrings);
stbtt__dict_get_ints(&topdict, 0x100 | 6, 1, &cstype);
stbtt__dict_get_ints(&topdict, 0x100 | 36, 1, &fdarrayoff);
stbtt__dict_get_ints(&topdict, 0x100 | 37, 1, &fdselectoff);
info->subrs = stbtt__get_subrs(b, topdict);
// we only support Type 2 charstrings
if (cstype != 2) return 0;
if (charstrings == 0) return 0;
if (fdarrayoff) {
// looks like a CID font
if (!fdselectoff) return 0;
stbtt__buf_seek(&b, fdarrayoff);
info->fontdicts = stbtt__cff_get_index(&b);
info->fdselect = stbtt__buf_range(&b, fdselectoff, b.size-fdselectoff);
}
stbtt__buf_seek(&b, charstrings);
info->charstrings = stbtt__cff_get_index(&b);
}
t = stbtt__find_table(data, fontstart, "maxp");
if (t)
info->numGlyphs = ttUSHORT(data+t+4);
else
info->numGlyphs = 0xffff;
info->svg = -1;
// find a cmap encoding table we understand *now* to avoid searching
// later. (todo: could make this installable)
// the same regardless of glyph.
numTables = ttUSHORT(data + cmap + 2);
info->index_map = 0;
for (i=0; i < numTables; ++i) {
stbtt_uint32 encoding_record = cmap + 4 + 8 * i;
// find an encoding we understand:
switch(ttUSHORT(data+encoding_record)) {
case STBTT_PLATFORM_ID_MICROSOFT:
switch (ttUSHORT(data+encoding_record+2)) {
case STBTT_MS_EID_UNICODE_BMP:
case STBTT_MS_EID_UNICODE_FULL:
// MS/Unicode
info->index_map = cmap + ttULONG(data+encoding_record+4);
break;
}
break;
case STBTT_PLATFORM_ID_UNICODE:
// Mac/iOS has these
// all the encodingIDs are unicode, so we don't bother to check it
info->index_map = cmap + ttULONG(data+encoding_record+4);
break;
}
}
if (info->index_map == 0)
return 0;
info->indexToLocFormat = ttUSHORT(data+info->head + 50);
return 1;
}
STBTT_DEF int stbtt_FindGlyphIndex(const stbtt_fontinfo *info, int unicode_codepoint)
{
stbtt_uint8 *data = info->data;
stbtt_uint32 index_map = info->index_map;
stbtt_uint16 format = ttUSHORT(data + index_map + 0);
if (format == 0) { // apple byte encoding
stbtt_int32 bytes = ttUSHORT(data + index_map + 2);
if (unicode_codepoint < bytes-6)
return ttBYTE(data + index_map + 6 + unicode_codepoint);
return 0;
} else if (format == 6) {
stbtt_uint32 first = ttUSHORT(data + index_map + 6);
stbtt_uint32 count = ttUSHORT(data + index_map + 8);
if ((stbtt_uint32) unicode_codepoint >= first && (stbtt_uint32) unicode_codepoint < first+count)
return ttUSHORT(data + index_map + 10 + (unicode_codepoint - first)*2);
return 0;
} else if (format == 2) {
STBTT_assert(0); // @TODO: high-byte mapping for japanese/chinese/korean
return 0;
} else if (format == 4) { // standard mapping for windows fonts: binary search collection of ranges
stbtt_uint16 segcount = ttUSHORT(data+index_map+6) >> 1;
stbtt_uint16 searchRange = ttUSHORT(data+index_map+8) >> 1;
stbtt_uint16 entrySelector = ttUSHORT(data+index_map+10);
stbtt_uint16 rangeShift = ttUSHORT(data+index_map+12) >> 1;
// do a binary search of the segments
stbtt_uint32 endCount = index_map + 14;
stbtt_uint32 search = endCount;
if (unicode_codepoint > 0xffff)
return 0;
// they lie from endCount .. endCount + segCount
// but searchRange is the nearest power of two, so...
if (unicode_codepoint >= ttUSHORT(data + search + rangeShift*2))
search += rangeShift*2;
// now decrement to bias correctly to find smallest
search -= 2;
while (entrySelector) {
stbtt_uint16 end;
searchRange >>= 1;
end = ttUSHORT(data + search + searchRange*2);
if (unicode_codepoint > end)
search += searchRange*2;
--entrySelector;
}
search += 2;
{
stbtt_uint16 offset, start, last;
stbtt_uint16 item = (stbtt_uint16) ((search - endCount) >> 1);
start = ttUSHORT(data + index_map + 14 + segcount*2 + 2 + 2*item);
last = ttUSHORT(data + endCount + 2*item);
if (unicode_codepoint < start || unicode_codepoint > last)
return 0;
offset = ttUSHORT(data + index_map + 14 + segcount*6 + 2 + 2*item);
if (offset == 0)
return (stbtt_uint16) (unicode_codepoint + ttSHORT(data + index_map + 14 + segcount*4 + 2 + 2*item));
return ttUSHORT(data + offset + (unicode_codepoint-start)*2 + index_map + 14 + segcount*6 + 2 + 2*item);
}
} else if (format == 12 || format == 13) {
stbtt_uint32 ngroups = ttULONG(data+index_map+12);
stbtt_int32 low,high;
low = 0; high = (stbtt_int32)ngroups;
// Binary search the right group.
while (low < high) {
stbtt_int32 mid = low + ((high-low) >> 1); // rounds down, so low <= mid < high
stbtt_uint32 start_char = ttULONG(data+index_map+16+mid*12);
stbtt_uint32 end_char = ttULONG(data+index_map+16+mid*12+4);
if ((stbtt_uint32) unicode_codepoint < start_char)
high = mid;
else if ((stbtt_uint32) unicode_codepoint > end_char)
low = mid+1;
else {
stbtt_uint32 start_glyph = ttULONG(data+index_map+16+mid*12+8);
if (format == 12)
return start_glyph + unicode_codepoint-start_char;
else // format == 13
return start_glyph;
}
}
return 0; // not found
}
// @TODO
STBTT_assert(0);
return 0;
}
STBTT_DEF int stbtt_GetCodepointShape(const stbtt_fontinfo *info, int unicode_codepoint, stbtt_vertex **vertices)
{
return stbtt_GetGlyphShape(info, stbtt_FindGlyphIndex(info, unicode_codepoint), vertices);
}
static void stbtt_setvertex(stbtt_vertex *v, stbtt_uint8 type, stbtt_int32 x, stbtt_int32 y, stbtt_int32 cx, stbtt_int32 cy)
{
v->type = type;
v->x = (stbtt_int16) x;
v->y = (stbtt_int16) y;
v->cx = (stbtt_int16) cx;
v->cy = (stbtt_int16) cy;
}
static int stbtt__GetGlyfOffset(const stbtt_fontinfo *info, int glyph_index)
{
int g1,g2;
STBTT_assert(!info->cff.size);
if (glyph_index >= info->numGlyphs) return -1; // glyph index out of range
if (info->indexToLocFormat >= 2) return -1; // unknown index->glyph map format
if (info->indexToLocFormat == 0) {
g1 = info->glyf + ttUSHORT(info->data + info->loca + glyph_index * 2) * 2;
g2 = info->glyf + ttUSHORT(info->data + info->loca + glyph_index * 2 + 2) * 2;
} else {
g1 = info->glyf + ttULONG (info->data + info->loca + glyph_index * 4);
g2 = info->glyf + ttULONG (info->data + info->loca + glyph_index * 4 + 4);
}
return g1==g2 ? -1 : g1; // if length is 0, return -1
}
static int stbtt__GetGlyphInfoT2(const stbtt_fontinfo *info, int glyph_index, int *x0, int *y0, int *x1, int *y1);
STBTT_DEF int stbtt_GetGlyphBox(const stbtt_fontinfo *info, int glyph_index, int *x0, int *y0, int *x1, int *y1)
{
if (info->cff.size) {
stbtt__GetGlyphInfoT2(info, glyph_index, x0, y0, x1, y1);
} else {
int g = stbtt__GetGlyfOffset(info, glyph_index);
if (g < 0) return 0;
if (x0) *x0 = ttSHORT(info->data + g + 2);
if (y0) *y0 = ttSHORT(info->data + g + 4);
if (x1) *x1 = ttSHORT(info->data + g + 6);
if (y1) *y1 = ttSHORT(info->data + g + 8);
}
return 1;
}
STBTT_DEF int stbtt_GetCodepointBox(const stbtt_fontinfo *info, int codepoint, int *x0, int *y0, int *x1, int *y1)
{
return stbtt_GetGlyphBox(info, stbtt_FindGlyphIndex(info,codepoint), x0,y0,x1,y1);
}
STBTT_DEF int stbtt_IsGlyphEmpty(const stbtt_fontinfo *info, int glyph_index)
{
stbtt_int16 numberOfContours;
int g;
if (info->cff.size)
return stbtt__GetGlyphInfoT2(info, glyph_index, NULL, NULL, NULL, NULL) == 0;
g = stbtt__GetGlyfOffset(info, glyph_index);
if (g < 0) return 1;
numberOfContours = ttSHORT(info->data + g);
return numberOfContours == 0;
}
static int stbtt__close_shape(stbtt_vertex *vertices, int num_vertices, int was_off, int start_off,
stbtt_int32 sx, stbtt_int32 sy, stbtt_int32 scx, stbtt_int32 scy, stbtt_int32 cx, stbtt_int32 cy)
{
if (start_off) {
if (was_off)
stbtt_setvertex(&vertices[num_vertices++], STBTT_vcurve, (cx+scx)>>1, (cy+scy)>>1, cx,cy);
stbtt_setvertex(&vertices[num_vertices++], STBTT_vcurve, sx,sy,scx,scy);
} else {
if (was_off)
stbtt_setvertex(&vertices[num_vertices++], STBTT_vcurve,sx,sy,cx,cy);
else
stbtt_setvertex(&vertices[num_vertices++], STBTT_vline,sx,sy,0,0);
}
return num_vertices;
}
static int stbtt__GetGlyphShapeTT(const stbtt_fontinfo *info, int glyph_index, stbtt_vertex **pvertices)
{
stbtt_int16 numberOfContours;
stbtt_uint8 *endPtsOfContours;
stbtt_uint8 *data = info->data;
stbtt_vertex *vertices=0;
int num_vertices=0;
int g = stbtt__GetGlyfOffset(info, glyph_index);
*pvertices = NULL;
if (g < 0) return 0;
numberOfContours = ttSHORT(data + g);
if (numberOfContours > 0) {
stbtt_uint8 flags=0,flagcount;
stbtt_int32 ins, i,j=0,m,n, next_move, was_off=0, off, start_off=0;
stbtt_int32 x,y,cx,cy,sx,sy, scx,scy;
stbtt_uint8 *points;
endPtsOfContours = (data + g + 10);
ins = ttUSHORT(data + g + 10 + numberOfContours * 2);
points = data + g + 10 + numberOfContours * 2 + 2 + ins;
n = 1+ttUSHORT(endPtsOfContours + numberOfContours*2-2);
m = n + 2*numberOfContours; // a loose bound on how many vertices we might need
vertices = (stbtt_vertex *) STBTT_malloc(m * sizeof(vertices[0]), info->userdata);
if (vertices == 0)
return 0;
next_move = 0;
flagcount=0;
// in first pass, we load uninterpreted data into the allocated array
// above, shifted to the end of the array so we won't overwrite it when
// we create our final data starting from the front
off = m - n; // starting offset for uninterpreted data, regardless of how m ends up being calculated
// first load flags
for (i=0; i < n; ++i) {
if (flagcount == 0) {
flags = *points++;
if (flags & 8)
flagcount = *points++;
} else
--flagcount;
vertices[off+i].type = flags;
}
// now load x coordinates
x=0;
for (i=0; i < n; ++i) {
flags = vertices[off+i].type;
if (flags & 2) {
stbtt_int16 dx = *points++;
x += (flags & 16) ? dx : -dx; // ???
} else {
if (!(flags & 16)) {
x = x + (stbtt_int16) (points[0]*256 + points[1]);
points += 2;
}
}
vertices[off+i].x = (stbtt_int16) x;
}
// now load y coordinates
y=0;
for (i=0; i < n; ++i) {
flags = vertices[off+i].type;
if (flags & 4) {
stbtt_int16 dy = *points++;
y += (flags & 32) ? dy : -dy; // ???
} else {
if (!(flags & 32)) {
y = y + (stbtt_int16) (points[0]*256 + points[1]);
points += 2;
}
}
vertices[off+i].y = (stbtt_int16) y;
}
// now convert them to our format
num_vertices=0;
sx = sy = cx = cy = scx = scy = 0;
for (i=0; i < n; ++i) {
flags = vertices[off+i].type;
x = (stbtt_int16) vertices[off+i].x;
y = (stbtt_int16) vertices[off+i].y;
if (next_move == i) {
if (i != 0)
num_vertices = stbtt__close_shape(vertices, num_vertices, was_off, start_off, sx,sy,scx,scy,cx,cy);
// now start the new one
start_off = !(flags & 1);
if (start_off) {
// if we start off with an off-curve point, then when we need to find a point on the curve
// where we can start, and we need to save some state for when we wraparound.
scx = x;
scy = y;
if (!(vertices[off+i+1].type & 1)) {
// next point is also a curve point, so interpolate an on-point curve
sx = (x + (stbtt_int32) vertices[off+i+1].x) >> 1;
sy = (y + (stbtt_int32) vertices[off+i+1].y) >> 1;
} else {
// otherwise just use the next point as our start point
sx = (stbtt_int32) vertices[off+i+1].x;
sy = (stbtt_int32) vertices[off+i+1].y;
++i; // we're using point i+1 as the starting point, so skip it
}
} else {
sx = x;
sy = y;
}
stbtt_setvertex(&vertices[num_vertices++], STBTT_vmove,sx,sy,0,0);
was_off = 0;
next_move = 1 + ttUSHORT(endPtsOfContours+j*2);
++j;
} else {
if (!(flags & 1)) { // if it's a curve
if (was_off) // two off-curve control points in a row means interpolate an on-curve midpoint
stbtt_setvertex(&vertices[num_vertices++], STBTT_vcurve, (cx+x)>>1, (cy+y)>>1, cx, cy);
cx = x;
cy = y;
was_off = 1;
} else {
if (was_off)
stbtt_setvertex(&vertices[num_vertices++], STBTT_vcurve, x,y, cx, cy);
else
stbtt_setvertex(&vertices[num_vertices++], STBTT_vline, x,y,0,0);
was_off = 0;
}
}
}
num_vertices = stbtt__close_shape(vertices, num_vertices, was_off, start_off, sx,sy,scx,scy,cx,cy);
} else if (numberOfContours < 0) {
// Compound shapes.
int more = 1;
stbtt_uint8 *comp = data + g + 10;
num_vertices = 0;
vertices = 0;
while (more) {
stbtt_uint16 flags, gidx;
int comp_num_verts = 0, i;
stbtt_vertex *comp_verts = 0, *tmp = 0;
float mtx[6] = {1,0,0,1,0,0}, m, n;
flags = ttSHORT(comp); comp+=2;
gidx = ttSHORT(comp); comp+=2;
if (flags & 2) { // XY values
if (flags & 1) { // shorts
mtx[4] = ttSHORT(comp); comp+=2;
mtx[5] = ttSHORT(comp); comp+=2;
} else {
mtx[4] = ttCHAR(comp); comp+=1;
mtx[5] = ttCHAR(comp); comp+=1;
}
}
else {
// @TODO handle matching point
STBTT_assert(0);
}
if (flags & (1<<3)) { // WE_HAVE_A_SCALE
mtx[0] = mtx[3] = ttSHORT(comp)/16384.0f; comp+=2;
mtx[1] = mtx[2] = 0;
} else if (flags & (1<<6)) { // WE_HAVE_AN_X_AND_YSCALE
mtx[0] = ttSHORT(comp)/16384.0f; comp+=2;
mtx[1] = mtx[2] = 0;
mtx[3] = ttSHORT(comp)/16384.0f; comp+=2;
} else if (flags & (1<<7)) { // WE_HAVE_A_TWO_BY_TWO
mtx[0] = ttSHORT(comp)/16384.0f; comp+=2;
mtx[1] = ttSHORT(comp)/16384.0f; comp+=2;
mtx[2] = ttSHORT(comp)/16384.0f; comp+=2;
mtx[3] = ttSHORT(comp)/16384.0f; comp+=2;
}
// Find transformation scales.
m = (float) STBTT_sqrt(mtx[0]*mtx[0] + mtx[1]*mtx[1]);
n = (float) STBTT_sqrt(mtx[2]*mtx[2] + mtx[3]*mtx[3]);
// Get indexed glyph.
comp_num_verts = stbtt_GetGlyphShape(info, gidx, &comp_verts);
if (comp_num_verts > 0) {
// Transform vertices.
for (i = 0; i < comp_num_verts; ++i) {
stbtt_vertex* v = &comp_verts[i];
stbtt_vertex_type x,y;
x=v->x; y=v->y;
v->x = (stbtt_vertex_type)(m * (mtx[0]*x + mtx[2]*y + mtx[4]));
v->y = (stbtt_vertex_type)(n * (mtx[1]*x + mtx[3]*y + mtx[5]));
x=v->cx; y=v->cy;
v->cx = (stbtt_vertex_type)(m * (mtx[0]*x + mtx[2]*y + mtx[4]));
v->cy = (stbtt_vertex_type)(n * (mtx[1]*x + mtx[3]*y + mtx[5]));
}
// Append vertices.
tmp = (stbtt_vertex*)STBTT_malloc((num_vertices+comp_num_verts)*sizeof(stbtt_vertex), info->userdata);
if (!tmp) {
if (vertices) STBTT_free(vertices, info->userdata);
if (comp_verts) STBTT_free(comp_verts, info->userdata);
return 0;
}
if (num_vertices > 0 && vertices) STBTT_memcpy(tmp, vertices, num_vertices*sizeof(stbtt_vertex));
STBTT_memcpy(tmp+num_vertices, comp_verts, comp_num_verts*sizeof(stbtt_vertex));
if (vertices) STBTT_free(vertices, info->userdata);
vertices = tmp;
STBTT_free(comp_verts, info->userdata);
num_vertices += comp_num_verts;
}
// More components ?
more = flags & (1<<5);
}
} else {
// numberOfCounters == 0, do nothing
}
*pvertices = vertices;
return num_vertices;
}
typedef struct
{
int bounds;
int started;
float first_x, first_y;
float x, y;
stbtt_int32 min_x, max_x, min_y, max_y;
stbtt_vertex *pvertices;
int num_vertices;
} stbtt__csctx;
#define STBTT__CSCTX_INIT(bounds) {bounds,0, 0,0, 0,0, 0,0,0,0, NULL, 0}
static void stbtt__track_vertex(stbtt__csctx *c, stbtt_int32 x, stbtt_int32 y)
{
if (x > c->max_x || !c->started) c->max_x = x;
if (y > c->max_y || !c->started) c->max_y = y;
if (x < c->min_x || !c->started) c->min_x = x;
if (y < c->min_y || !c->started) c->min_y = y;
c->started = 1;
}
static void stbtt__csctx_v(stbtt__csctx *c, stbtt_uint8 type, stbtt_int32 x, stbtt_int32 y, stbtt_int32 cx, stbtt_int32 cy, stbtt_int32 cx1, stbtt_int32 cy1)
{
if (c->bounds) {
stbtt__track_vertex(c, x, y);
if (type == STBTT_vcubic) {
stbtt__track_vertex(c, cx, cy);
stbtt__track_vertex(c, cx1, cy1);
}
} else {
stbtt_setvertex(&c->pvertices[c->num_vertices], type, x, y, cx, cy);
c->pvertices[c->num_vertices].cx1 = (stbtt_int16) cx1;
c->pvertices[c->num_vertices].cy1 = (stbtt_int16) cy1;
}
c->num_vertices++;
}
static void stbtt__csctx_close_shape(stbtt__csctx *ctx)
{
if (ctx->first_x != ctx->x || ctx->first_y != ctx->y)
stbtt__csctx_v(ctx, STBTT_vline, (int)ctx->first_x, (int)ctx->first_y, 0, 0, 0, 0);
}
static void stbtt__csctx_rmove_to(stbtt__csctx *ctx, float dx, float dy)
{
stbtt__csctx_close_shape(ctx);
ctx->first_x = ctx->x = ctx->x + dx;
ctx->first_y = ctx->y = ctx->y + dy;
stbtt__csctx_v(ctx, STBTT_vmove, (int)ctx->x, (int)ctx->y, 0, 0, 0, 0);
}
static void stbtt__csctx_rline_to(stbtt__csctx *ctx, float dx, float dy)
{
ctx->x += dx;
ctx->y += dy;
stbtt__csctx_v(ctx, STBTT_vline, (int)ctx->x, (int)ctx->y, 0, 0, 0, 0);
}
static void stbtt__csctx_rccurve_to(stbtt__csctx *ctx, float dx1, float dy1, float dx2, float dy2, float dx3, float dy3)
{
float cx1 = ctx->x + dx1;
float cy1 = ctx->y + dy1;
float cx2 = cx1 + dx2;
float cy2 = cy1 + dy2;
ctx->x = cx2 + dx3;
ctx->y = cy2 + dy3;
stbtt__csctx_v(ctx, STBTT_vcubic, (int)ctx->x, (int)ctx->y, (int)cx1, (int)cy1, (int)cx2, (int)cy2);
}
static stbtt__buf stbtt__get_subr(stbtt__buf idx, int n)
{
int count = stbtt__cff_index_count(&idx);
int bias = 107;
if (count >= 33900)
bias = 32768;
else if (count >= 1240)
bias = 1131;
n += bias;
if (n < 0 || n >= count)
return stbtt__new_buf(NULL, 0);
return stbtt__cff_index_get(idx, n);
}
static stbtt__buf stbtt__cid_get_glyph_subrs(const stbtt_fontinfo *info, int glyph_index)
{
stbtt__buf fdselect = info->fdselect;
int nranges, start, end, v, fmt, fdselector = -1, i;
stbtt__buf_seek(&fdselect, 0);
fmt = stbtt__buf_get8(&fdselect);
if (fmt == 0) {
// untested
stbtt__buf_skip(&fdselect, glyph_index);
fdselector = stbtt__buf_get8(&fdselect);
} else if (fmt == 3) {
nranges = stbtt__buf_get16(&fdselect);
start = stbtt__buf_get16(&fdselect);
for (i = 0; i < nranges; i++) {
v = stbtt__buf_get8(&fdselect);
end = stbtt__buf_get16(&fdselect);
if (glyph_index >= start && glyph_index < end) {
fdselector = v;
break;
}
start = end;
}
}
if (fdselector == -1) return stbtt__new_buf(NULL, 0); // [DEAR IMGUI] fixed, see #6007 and nothings/stb#1422
return stbtt__get_subrs(info->cff, stbtt__cff_index_get(info->fontdicts, fdselector));
}
static int stbtt__run_charstring(const stbtt_fontinfo *info, int glyph_index, stbtt__csctx *c)
{
int in_header = 1, maskbits = 0, subr_stack_height = 0, sp = 0, v, i, b0;
int has_subrs = 0, clear_stack;
float s[48];
stbtt__buf subr_stack[10], subrs = info->subrs, b;
float f;
#define STBTT__CSERR(s) (0)
// this currently ignores the initial width value, which isn't needed if we have hmtx
b = stbtt__cff_index_get(info->charstrings, glyph_index);
while (b.cursor < b.size) {
i = 0;
clear_stack = 1;
b0 = stbtt__buf_get8(&b);
switch (b0) {
// @TODO implement hinting
case 0x13: // hintmask
case 0x14: // cntrmask
if (in_header)
maskbits += (sp / 2); // implicit "vstem"
in_header = 0;
stbtt__buf_skip(&b, (maskbits + 7) / 8);
break;
case 0x01: // hstem
case 0x03: // vstem
case 0x12: // hstemhm
case 0x17: // vstemhm
maskbits += (sp / 2);
break;
case 0x15: // rmoveto
in_header = 0;
if (sp < 2) return STBTT__CSERR("rmoveto stack");
stbtt__csctx_rmove_to(c, s[sp-2], s[sp-1]);
break;
case 0x04: // vmoveto
in_header = 0;
if (sp < 1) return STBTT__CSERR("vmoveto stack");
stbtt__csctx_rmove_to(c, 0, s[sp-1]);
break;
case 0x16: // hmoveto
in_header = 0;
if (sp < 1) return STBTT__CSERR("hmoveto stack");
stbtt__csctx_rmove_to(c, s[sp-1], 0);
break;
case 0x05: // rlineto
if (sp < 2) return STBTT__CSERR("rlineto stack");
for (; i + 1 < sp; i += 2)
stbtt__csctx_rline_to(c, s[i], s[i+1]);
break;
// hlineto/vlineto and vhcurveto/hvcurveto alternate horizontal and vertical
// starting from a different place.
case 0x07: // vlineto
if (sp < 1) return STBTT__CSERR("vlineto stack");
goto vlineto;
case 0x06: // hlineto
if (sp < 1) return STBTT__CSERR("hlineto stack");
for (;;) {
if (i >= sp) break;
stbtt__csctx_rline_to(c, s[i], 0);
i++;
vlineto:
if (i >= sp) break;
stbtt__csctx_rline_to(c, 0, s[i]);
i++;
}
break;
case 0x1F: // hvcurveto
if (sp < 4) return STBTT__CSERR("hvcurveto stack");
goto hvcurveto;
case 0x1E: // vhcurveto
if (sp < 4) return STBTT__CSERR("vhcurveto stack");
for (;;) {
if (i + 3 >= sp) break;
stbtt__csctx_rccurve_to(c, 0, s[i], s[i+1], s[i+2], s[i+3], (sp - i == 5) ? s[i + 4] : 0.0f);
i += 4;
hvcurveto:
if (i + 3 >= sp) break;
stbtt__csctx_rccurve_to(c, s[i], 0, s[i+1], s[i+2], (sp - i == 5) ? s[i+4] : 0.0f, s[i+3]);
i += 4;
}
break;
case 0x08: // rrcurveto
if (sp < 6) return STBTT__CSERR("rcurveline stack");
for (; i + 5 < sp; i += 6)
stbtt__csctx_rccurve_to(c, s[i], s[i+1], s[i+2], s[i+3], s[i+4], s[i+5]);
break;
case 0x18: // rcurveline
if (sp < 8) return STBTT__CSERR("rcurveline stack");
for (; i + 5 < sp - 2; i += 6)
stbtt__csctx_rccurve_to(c, s[i], s[i+1], s[i+2], s[i+3], s[i+4], s[i+5]);
if (i + 1 >= sp) return STBTT__CSERR("rcurveline stack");
stbtt__csctx_rline_to(c, s[i], s[i+1]);
break;
case 0x19: // rlinecurve
if (sp < 8) return STBTT__CSERR("rlinecurve stack");
for (; i + 1 < sp - 6; i += 2)
stbtt__csctx_rline_to(c, s[i], s[i+1]);
if (i + 5 >= sp) return STBTT__CSERR("rlinecurve stack");
stbtt__csctx_rccurve_to(c, s[i], s[i+1], s[i+2], s[i+3], s[i+4], s[i+5]);
break;
case 0x1A: // vvcurveto
case 0x1B: // hhcurveto
if (sp < 4) return STBTT__CSERR("(vv|hh)curveto stack");
f = 0.0;
if (sp & 1) { f = s[i]; i++; }
for (; i + 3 < sp; i += 4) {
if (b0 == 0x1B)
stbtt__csctx_rccurve_to(c, s[i], f, s[i+1], s[i+2], s[i+3], 0.0);
else
stbtt__csctx_rccurve_to(c, f, s[i], s[i+1], s[i+2], 0.0, s[i+3]);
f = 0.0;
}
break;
case 0x0A: // callsubr
if (!has_subrs) {
if (info->fdselect.size)
subrs = stbtt__cid_get_glyph_subrs(info, glyph_index);
has_subrs = 1;
}
// FALLTHROUGH
case 0x1D: // callgsubr
if (sp < 1) return STBTT__CSERR("call(g|)subr stack");
v = (int) s[--sp];
if (subr_stack_height >= 10) return STBTT__CSERR("recursion limit");
subr_stack[subr_stack_height++] = b;
b = stbtt__get_subr(b0 == 0x0A ? subrs : info->gsubrs, v);
if (b.size == 0) return STBTT__CSERR("subr not found");
b.cursor = 0;
clear_stack = 0;
break;
case 0x0B: // return
if (subr_stack_height <= 0) return STBTT__CSERR("return outside subr");
b = subr_stack[--subr_stack_height];
clear_stack = 0;
break;
case 0x0E: // endchar
stbtt__csctx_close_shape(c);
return 1;
case 0x0C: { // two-byte escape
float dx1, dx2, dx3, dx4, dx5, dx6, dy1, dy2, dy3, dy4, dy5, dy6;
float dx, dy;
int b1 = stbtt__buf_get8(&b);
switch (b1) {
// @TODO These "flex" implementations ignore the flex-depth and resolution,
// and always draw beziers.
case 0x22: // hflex
if (sp < 7) return STBTT__CSERR("hflex stack");
dx1 = s[0];
dx2 = s[1];
dy2 = s[2];
dx3 = s[3];
dx4 = s[4];
dx5 = s[5];
dx6 = s[6];
stbtt__csctx_rccurve_to(c, dx1, 0, dx2, dy2, dx3, 0);
stbtt__csctx_rccurve_to(c, dx4, 0, dx5, -dy2, dx6, 0);
break;
case 0x23: // flex
if (sp < 13) return STBTT__CSERR("flex stack");
dx1 = s[0];
dy1 = s[1];
dx2 = s[2];
dy2 = s[3];
dx3 = s[4];
dy3 = s[5];
dx4 = s[6];
dy4 = s[7];
dx5 = s[8];
dy5 = s[9];
dx6 = s[10];
dy6 = s[11];
//fd is s[12]
stbtt__csctx_rccurve_to(c, dx1, dy1, dx2, dy2, dx3, dy3);
stbtt__csctx_rccurve_to(c, dx4, dy4, dx5, dy5, dx6, dy6);
break;
case 0x24: // hflex1
if (sp < 9) return STBTT__CSERR("hflex1 stack");
dx1 = s[0];
dy1 = s[1];
dx2 = s[2];
dy2 = s[3];
dx3 = s[4];
dx4 = s[5];
dx5 = s[6];
dy5 = s[7];
dx6 = s[8];
stbtt__csctx_rccurve_to(c, dx1, dy1, dx2, dy2, dx3, 0);
stbtt__csctx_rccurve_to(c, dx4, 0, dx5, dy5, dx6, -(dy1+dy2+dy5));
break;
case 0x25: // flex1
if (sp < 11) return STBTT__CSERR("flex1 stack");
dx1 = s[0];
dy1 = s[1];
dx2 = s[2];
dy2 = s[3];
dx3 = s[4];
dy3 = s[5];
dx4 = s[6];
dy4 = s[7];
dx5 = s[8];
dy5 = s[9];
dx6 = dy6 = s[10];
dx = dx1+dx2+dx3+dx4+dx5;
dy = dy1+dy2+dy3+dy4+dy5;
if (STBTT_fabs(dx) > STBTT_fabs(dy))
dy6 = -dy;
else
dx6 = -dx;
stbtt__csctx_rccurve_to(c, dx1, dy1, dx2, dy2, dx3, dy3);
stbtt__csctx_rccurve_to(c, dx4, dy4, dx5, dy5, dx6, dy6);
break;
default:
return STBTT__CSERR("unimplemented");
}
} break;
default:
if (b0 != 255 && b0 != 28 && b0 < 32)
return STBTT__CSERR("reserved operator");
// push immediate
if (b0 == 255) {
f = (float)(stbtt_int32)stbtt__buf_get32(&b) / 0x10000;
} else {
stbtt__buf_skip(&b, -1);
f = (float)(stbtt_int16)stbtt__cff_int(&b);
}
if (sp >= 48) return STBTT__CSERR("push stack overflow");
s[sp++] = f;
clear_stack = 0;
break;
}
if (clear_stack) sp = 0;
}
return STBTT__CSERR("no endchar");
#undef STBTT__CSERR
}
static int stbtt__GetGlyphShapeT2(const stbtt_fontinfo *info, int glyph_index, stbtt_vertex **pvertices)
{
// runs the charstring twice, once to count and once to output (to avoid realloc)
stbtt__csctx count_ctx = STBTT__CSCTX_INIT(1);
stbtt__csctx output_ctx = STBTT__CSCTX_INIT(0);
if (stbtt__run_charstring(info, glyph_index, &count_ctx)) {
*pvertices = (stbtt_vertex*)STBTT_malloc(count_ctx.num_vertices*sizeof(stbtt_vertex), info->userdata);
output_ctx.pvertices = *pvertices;
if (stbtt__run_charstring(info, glyph_index, &output_ctx)) {
STBTT_assert(output_ctx.num_vertices == count_ctx.num_vertices);
return output_ctx.num_vertices;
}
}
*pvertices = NULL;
return 0;
}
static int stbtt__GetGlyphInfoT2(const stbtt_fontinfo *info, int glyph_index, int *x0, int *y0, int *x1, int *y1)
{
stbtt__csctx c = STBTT__CSCTX_INIT(1);
int r = stbtt__run_charstring(info, glyph_index, &c);
if (x0) *x0 = r ? c.min_x : 0;
if (y0) *y0 = r ? c.min_y : 0;
if (x1) *x1 = r ? c.max_x : 0;
if (y1) *y1 = r ? c.max_y : 0;
return r ? c.num_vertices : 0;
}
STBTT_DEF int stbtt_GetGlyphShape(const stbtt_fontinfo *info, int glyph_index, stbtt_vertex **pvertices)
{
if (!info->cff.size)
return stbtt__GetGlyphShapeTT(info, glyph_index, pvertices);
else
return stbtt__GetGlyphShapeT2(info, glyph_index, pvertices);
}
STBTT_DEF void stbtt_GetGlyphHMetrics(const stbtt_fontinfo *info, int glyph_index, int *advanceWidth, int *leftSideBearing)
{
stbtt_uint16 numOfLongHorMetrics = ttUSHORT(info->data+info->hhea + 34);
if (glyph_index < numOfLongHorMetrics) {
if (advanceWidth) *advanceWidth = ttSHORT(info->data + info->hmtx + 4*glyph_index);
if (leftSideBearing) *leftSideBearing = ttSHORT(info->data + info->hmtx + 4*glyph_index + 2);
} else {
if (advanceWidth) *advanceWidth = ttSHORT(info->data + info->hmtx + 4*(numOfLongHorMetrics-1));
if (leftSideBearing) *leftSideBearing = ttSHORT(info->data + info->hmtx + 4*numOfLongHorMetrics + 2*(glyph_index - numOfLongHorMetrics));
}
}
STBTT_DEF int stbtt_GetKerningTableLength(const stbtt_fontinfo *info)
{
stbtt_uint8 *data = info->data + info->kern;
// we only look at the first table. it must be 'horizontal' and format 0.
if (!info->kern)
return 0;
if (ttUSHORT(data+2) < 1) // number of tables, need at least 1
return 0;
if (ttUSHORT(data+8) != 1) // horizontal flag must be set in format
return 0;
return ttUSHORT(data+10);
}
STBTT_DEF int stbtt_GetKerningTable(const stbtt_fontinfo *info, stbtt_kerningentry* table, int table_length)
{
stbtt_uint8 *data = info->data + info->kern;
int k, length;
// we only look at the first table. it must be 'horizontal' and format 0.
if (!info->kern)
return 0;
if (ttUSHORT(data+2) < 1) // number of tables, need at least 1
return 0;
if (ttUSHORT(data+8) != 1) // horizontal flag must be set in format
return 0;
length = ttUSHORT(data+10);
if (table_length < length)
length = table_length;
for (k = 0; k < length; k++)
{
table[k].glyph1 = ttUSHORT(data+18+(k*6));
table[k].glyph2 = ttUSHORT(data+20+(k*6));
table[k].advance = ttSHORT(data+22+(k*6));
}
return length;
}
static int stbtt__GetGlyphKernInfoAdvance(const stbtt_fontinfo *info, int glyph1, int glyph2)
{
stbtt_uint8 *data = info->data + info->kern;
stbtt_uint32 needle, straw;
int l, r, m;
// we only look at the first table. it must be 'horizontal' and format 0.
if (!info->kern)
return 0;
if (ttUSHORT(data+2) < 1) // number of tables, need at least 1
return 0;
if (ttUSHORT(data+8) != 1) // horizontal flag must be set in format
return 0;
l = 0;
r = ttUSHORT(data+10) - 1;
needle = glyph1 << 16 | glyph2;
while (l <= r) {
m = (l + r) >> 1;
straw = ttULONG(data+18+(m*6)); // note: unaligned read
if (needle < straw)
r = m - 1;
else if (needle > straw)
l = m + 1;
else
return ttSHORT(data+22+(m*6));
}
return 0;
}
static stbtt_int32 stbtt__GetCoverageIndex(stbtt_uint8 *coverageTable, int glyph)
{
stbtt_uint16 coverageFormat = ttUSHORT(coverageTable);
switch (coverageFormat) {
case 1: {
stbtt_uint16 glyphCount = ttUSHORT(coverageTable + 2);
// Binary search.
stbtt_int32 l=0, r=glyphCount-1, m;
int straw, needle=glyph;
while (l <= r) {
stbtt_uint8 *glyphArray = coverageTable + 4;
stbtt_uint16 glyphID;
m = (l + r) >> 1;
glyphID = ttUSHORT(glyphArray + 2 * m);
straw = glyphID;
if (needle < straw)
r = m - 1;
else if (needle > straw)
l = m + 1;
else {
return m;
}
}
break;
}
case 2: {
stbtt_uint16 rangeCount = ttUSHORT(coverageTable + 2);
stbtt_uint8 *rangeArray = coverageTable + 4;
// Binary search.
stbtt_int32 l=0, r=rangeCount-1, m;
int strawStart, strawEnd, needle=glyph;
while (l <= r) {
stbtt_uint8 *rangeRecord;
m = (l + r) >> 1;
rangeRecord = rangeArray + 6 * m;
strawStart = ttUSHORT(rangeRecord);
strawEnd = ttUSHORT(rangeRecord + 2);
if (needle < strawStart)
r = m - 1;
else if (needle > strawEnd)
l = m + 1;
else {
stbtt_uint16 startCoverageIndex = ttUSHORT(rangeRecord + 4);
return startCoverageIndex + glyph - strawStart;
}
}
break;
}
default: return -1; // unsupported
}
return -1;
}
static stbtt_int32 stbtt__GetGlyphClass(stbtt_uint8 *classDefTable, int glyph)
{
stbtt_uint16 classDefFormat = ttUSHORT(classDefTable);
switch (classDefFormat)
{
case 1: {
stbtt_uint16 startGlyphID = ttUSHORT(classDefTable + 2);
stbtt_uint16 glyphCount = ttUSHORT(classDefTable + 4);
stbtt_uint8 *classDef1ValueArray = classDefTable + 6;
if (glyph >= startGlyphID && glyph < startGlyphID + glyphCount)
return (stbtt_int32)ttUSHORT(classDef1ValueArray + 2 * (glyph - startGlyphID));
break;
}
case 2: {
stbtt_uint16 classRangeCount = ttUSHORT(classDefTable + 2);
stbtt_uint8 *classRangeRecords = classDefTable + 4;
// Binary search.
stbtt_int32 l=0, r=classRangeCount-1, m;
int strawStart, strawEnd, needle=glyph;
while (l <= r) {
stbtt_uint8 *classRangeRecord;
m = (l + r) >> 1;
classRangeRecord = classRangeRecords + 6 * m;
strawStart = ttUSHORT(classRangeRecord);
strawEnd = ttUSHORT(classRangeRecord + 2);
if (needle < strawStart)
r = m - 1;
else if (needle > strawEnd)
l = m + 1;
else
return (stbtt_int32)ttUSHORT(classRangeRecord + 4);
}
break;
}
default:
return -1; // Unsupported definition type, return an error.
}
// "All glyphs not assigned to a class fall into class 0". (OpenType spec)
return 0;
}
// Define to STBTT_assert(x) if you want to break on unimplemented formats.
#define STBTT_GPOS_TODO_assert(x)
static stbtt_int32 stbtt__GetGlyphGPOSInfoAdvance(const stbtt_fontinfo *info, int glyph1, int glyph2)
{
stbtt_uint16 lookupListOffset;
stbtt_uint8 *lookupList;
stbtt_uint16 lookupCount;
stbtt_uint8 *data;
stbtt_int32 i, sti;
if (!info->gpos) return 0;
data = info->data + info->gpos;
if (ttUSHORT(data+0) != 1) return 0; // Major version 1
if (ttUSHORT(data+2) != 0) return 0; // Minor version 0
lookupListOffset = ttUSHORT(data+8);
lookupList = data + lookupListOffset;
lookupCount = ttUSHORT(lookupList);
for (i=0; i<lookupCount; ++i) {
stbtt_uint16 lookupOffset = ttUSHORT(lookupList + 2 + 2 * i);
stbtt_uint8 *lookupTable = lookupList + lookupOffset;
stbtt_uint16 lookupType = ttUSHORT(lookupTable);
stbtt_uint16 subTableCount = ttUSHORT(lookupTable + 4);
stbtt_uint8 *subTableOffsets = lookupTable + 6;
if (lookupType != 2) // Pair Adjustment Positioning Subtable
continue;
for (sti=0; sti<subTableCount; sti++) {
stbtt_uint16 subtableOffset = ttUSHORT(subTableOffsets + 2 * sti);
stbtt_uint8 *table = lookupTable + subtableOffset;
stbtt_uint16 posFormat = ttUSHORT(table);
stbtt_uint16 coverageOffset = ttUSHORT(table + 2);
stbtt_int32 coverageIndex = stbtt__GetCoverageIndex(table + coverageOffset, glyph1);
if (coverageIndex == -1) continue;
switch (posFormat) {
case 1: {
stbtt_int32 l, r, m;
int straw, needle;
stbtt_uint16 valueFormat1 = ttUSHORT(table + 4);
stbtt_uint16 valueFormat2 = ttUSHORT(table + 6);
if (valueFormat1 == 4 && valueFormat2 == 0) { // Support more formats?
stbtt_int32 valueRecordPairSizeInBytes = 2;
stbtt_uint16 pairSetCount = ttUSHORT(table + 8);
stbtt_uint16 pairPosOffset = ttUSHORT(table + 10 + 2 * coverageIndex);
stbtt_uint8 *pairValueTable = table + pairPosOffset;
stbtt_uint16 pairValueCount = ttUSHORT(pairValueTable);
stbtt_uint8 *pairValueArray = pairValueTable + 2;
if (coverageIndex >= pairSetCount) return 0;
needle=glyph2;
r=pairValueCount-1;
l=0;
// Binary search.
while (l <= r) {
stbtt_uint16 secondGlyph;
stbtt_uint8 *pairValue;
m = (l + r) >> 1;
pairValue = pairValueArray + (2 + valueRecordPairSizeInBytes) * m;
secondGlyph = ttUSHORT(pairValue);
straw = secondGlyph;
if (needle < straw)
r = m - 1;
else if (needle > straw)
l = m + 1;
else {
stbtt_int16 xAdvance = ttSHORT(pairValue + 2);
return xAdvance;
}
}
} else
return 0;
break;
}
case 2: {
stbtt_uint16 valueFormat1 = ttUSHORT(table + 4);
stbtt_uint16 valueFormat2 = ttUSHORT(table + 6);
if (valueFormat1 == 4 && valueFormat2 == 0) { // Support more formats?
stbtt_uint16 classDef1Offset = ttUSHORT(table + 8);
stbtt_uint16 classDef2Offset = ttUSHORT(table + 10);
int glyph1class = stbtt__GetGlyphClass(table + classDef1Offset, glyph1);
int glyph2class = stbtt__GetGlyphClass(table + classDef2Offset, glyph2);
stbtt_uint16 class1Count = ttUSHORT(table + 12);
stbtt_uint16 class2Count = ttUSHORT(table + 14);
stbtt_uint8 *class1Records, *class2Records;
stbtt_int16 xAdvance;
if (glyph1class < 0 || glyph1class >= class1Count) return 0; // malformed
if (glyph2class < 0 || glyph2class >= class2Count) return 0; // malformed
class1Records = table + 16;
class2Records = class1Records + 2 * (glyph1class * class2Count);
xAdvance = ttSHORT(class2Records + 2 * glyph2class);
return xAdvance;
} else
return 0;
break;
}
default:
return 0; // Unsupported position format
}
}
}
return 0;
}
STBTT_DEF int stbtt_GetGlyphKernAdvance(const stbtt_fontinfo *info, int g1, int g2)
{
int xAdvance = 0;
if (info->gpos)
xAdvance += stbtt__GetGlyphGPOSInfoAdvance(info, g1, g2);
else if (info->kern)
xAdvance += stbtt__GetGlyphKernInfoAdvance(info, g1, g2);
return xAdvance;
}
STBTT_DEF int stbtt_GetCodepointKernAdvance(const stbtt_fontinfo *info, int ch1, int ch2)
{
if (!info->kern && !info->gpos) // if no kerning table, don't waste time looking up both codepoint->glyphs
return 0;
return stbtt_GetGlyphKernAdvance(info, stbtt_FindGlyphIndex(info,ch1), stbtt_FindGlyphIndex(info,ch2));
}
STBTT_DEF void stbtt_GetCodepointHMetrics(const stbtt_fontinfo *info, int codepoint, int *advanceWidth, int *leftSideBearing)
{
stbtt_GetGlyphHMetrics(info, stbtt_FindGlyphIndex(info,codepoint), advanceWidth, leftSideBearing);
}
STBTT_DEF void stbtt_GetFontVMetrics(const stbtt_fontinfo *info, int *ascent, int *descent, int *lineGap)
{
if (ascent ) *ascent = ttSHORT(info->data+info->hhea + 4);
if (descent) *descent = ttSHORT(info->data+info->hhea + 6);
if (lineGap) *lineGap = ttSHORT(info->data+info->hhea + 8);
}
STBTT_DEF int stbtt_GetFontVMetricsOS2(const stbtt_fontinfo *info, int *typoAscent, int *typoDescent, int *typoLineGap)
{
int tab = stbtt__find_table(info->data, info->fontstart, "OS/2");
if (!tab)
return 0;
if (typoAscent ) *typoAscent = ttSHORT(info->data+tab + 68);
if (typoDescent) *typoDescent = ttSHORT(info->data+tab + 70);
if (typoLineGap) *typoLineGap = ttSHORT(info->data+tab + 72);
return 1;
}
STBTT_DEF void stbtt_GetFontBoundingBox(const stbtt_fontinfo *info, int *x0, int *y0, int *x1, int *y1)
{
*x0 = ttSHORT(info->data + info->head + 36);
*y0 = ttSHORT(info->data + info->head + 38);
*x1 = ttSHORT(info->data + info->head + 40);
*y1 = ttSHORT(info->data + info->head + 42);
}
STBTT_DEF float stbtt_ScaleForPixelHeight(const stbtt_fontinfo *info, float height)
{
int fheight = ttSHORT(info->data + info->hhea + 4) - ttSHORT(info->data + info->hhea + 6);
return (float) height / fheight;
}
STBTT_DEF float stbtt_ScaleForMappingEmToPixels(const stbtt_fontinfo *info, float pixels)
{
int unitsPerEm = ttUSHORT(info->data + info->head + 18);
return pixels / unitsPerEm;
}
STBTT_DEF void stbtt_FreeShape(const stbtt_fontinfo *info, stbtt_vertex *v)
{
STBTT_free(v, info->userdata);
}
STBTT_DEF stbtt_uint8 *stbtt_FindSVGDoc(const stbtt_fontinfo *info, int gl)
{
int i;
stbtt_uint8 *data = info->data;
stbtt_uint8 *svg_doc_list = data + stbtt__get_svg((stbtt_fontinfo *) info);
int numEntries = ttUSHORT(svg_doc_list);
stbtt_uint8 *svg_docs = svg_doc_list + 2;
for(i=0; i<numEntries; i++) {
stbtt_uint8 *svg_doc = svg_docs + (12 * i);
if ((gl >= ttUSHORT(svg_doc)) && (gl <= ttUSHORT(svg_doc + 2)))
return svg_doc;
}
return 0;
}
STBTT_DEF int stbtt_GetGlyphSVG(const stbtt_fontinfo *info, int gl, const char **svg)
{
stbtt_uint8 *data = info->data;
stbtt_uint8 *svg_doc;
if (info->svg == 0)
return 0;
svg_doc = stbtt_FindSVGDoc(info, gl);
if (svg_doc != NULL) {
*svg = (char *) data + info->svg + ttULONG(svg_doc + 4);
return ttULONG(svg_doc + 8);
} else {
return 0;
}
}
STBTT_DEF int stbtt_GetCodepointSVG(const stbtt_fontinfo *info, int unicode_codepoint, const char **svg)
{
return stbtt_GetGlyphSVG(info, stbtt_FindGlyphIndex(info, unicode_codepoint), svg);
}
//////////////////////////////////////////////////////////////////////////////
//
// antialiasing software rasterizer
//
STBTT_DEF void stbtt_GetGlyphBitmapBoxSubpixel(const stbtt_fontinfo *font, int glyph, float scale_x, float scale_y,float shift_x, float shift_y, int *ix0, int *iy0, int *ix1, int *iy1)
{
int x0=0,y0=0,x1,y1; // =0 suppresses compiler warning
if (!stbtt_GetGlyphBox(font, glyph, &x0,&y0,&x1,&y1)) {
// e.g. space character
if (ix0) *ix0 = 0;
if (iy0) *iy0 = 0;
if (ix1) *ix1 = 0;
if (iy1) *iy1 = 0;
} else {
// move to integral bboxes (treating pixels as little squares, what pixels get touched)?
if (ix0) *ix0 = STBTT_ifloor( x0 * scale_x + shift_x);
if (iy0) *iy0 = STBTT_ifloor(-y1 * scale_y + shift_y);
if (ix1) *ix1 = STBTT_iceil ( x1 * scale_x + shift_x);
if (iy1) *iy1 = STBTT_iceil (-y0 * scale_y + shift_y);
}
}
STBTT_DEF void stbtt_GetGlyphBitmapBox(const stbtt_fontinfo *font, int glyph, float scale_x, float scale_y, int *ix0, int *iy0, int *ix1, int *iy1)
{
stbtt_GetGlyphBitmapBoxSubpixel(font, glyph, scale_x, scale_y,0.0f,0.0f, ix0, iy0, ix1, iy1);
}
STBTT_DEF void stbtt_GetCodepointBitmapBoxSubpixel(const stbtt_fontinfo *font, int codepoint, float scale_x, float scale_y, float shift_x, float shift_y, int *ix0, int *iy0, int *ix1, int *iy1)
{
stbtt_GetGlyphBitmapBoxSubpixel(font, stbtt_FindGlyphIndex(font,codepoint), scale_x, scale_y,shift_x,shift_y, ix0,iy0,ix1,iy1);
}
STBTT_DEF void stbtt_GetCodepointBitmapBox(const stbtt_fontinfo *font, int codepoint, float scale_x, float scale_y, int *ix0, int *iy0, int *ix1, int *iy1)
{
stbtt_GetCodepointBitmapBoxSubpixel(font, codepoint, scale_x, scale_y,0.0f,0.0f, ix0,iy0,ix1,iy1);
}
//////////////////////////////////////////////////////////////////////////////
//
// Rasterizer
typedef struct stbtt__hheap_chunk
{
struct stbtt__hheap_chunk *next;
} stbtt__hheap_chunk;
typedef struct stbtt__hheap
{
struct stbtt__hheap_chunk *head;
void *first_free;
int num_remaining_in_head_chunk;
} stbtt__hheap;
static void *stbtt__hheap_alloc(stbtt__hheap *hh, size_t size, void *userdata)
{
if (hh->first_free) {
void *p = hh->first_free;
hh->first_free = * (void **) p;
return p;
} else {
if (hh->num_remaining_in_head_chunk == 0) {
int count = (size < 32 ? 2000 : size < 128 ? 800 : 100);
stbtt__hheap_chunk *c = (stbtt__hheap_chunk *) STBTT_malloc(sizeof(stbtt__hheap_chunk) + size * count, userdata);
if (c == NULL)
return NULL;
c->next = hh->head;
hh->head = c;
hh->num_remaining_in_head_chunk = count;
}
--hh->num_remaining_in_head_chunk;
return (char *) (hh->head) + sizeof(stbtt__hheap_chunk) + size * hh->num_remaining_in_head_chunk;
}
}
static void stbtt__hheap_free(stbtt__hheap *hh, void *p)
{
*(void **) p = hh->first_free;
hh->first_free = p;
}
static void stbtt__hheap_cleanup(stbtt__hheap *hh, void *userdata)
{
stbtt__hheap_chunk *c = hh->head;
while (c) {
stbtt__hheap_chunk *n = c->next;
STBTT_free(c, userdata);
c = n;
}
}
typedef struct stbtt__edge {
float x0,y0, x1,y1;
int invert;
} stbtt__edge;
typedef struct stbtt__active_edge
{
struct stbtt__active_edge *next;
#if STBTT_RASTERIZER_VERSION==1
int x,dx;
float ey;
int direction;
#elif STBTT_RASTERIZER_VERSION==2
float fx,fdx,fdy;
float direction;
float sy;
float ey;
#else
#error "Unrecognized value of STBTT_RASTERIZER_VERSION"
#endif
} stbtt__active_edge;
#if STBTT_RASTERIZER_VERSION == 1
#define STBTT_FIXSHIFT 10
#define STBTT_FIX (1 << STBTT_FIXSHIFT)
#define STBTT_FIXMASK (STBTT_FIX-1)
static stbtt__active_edge *stbtt__new_active(stbtt__hheap *hh, stbtt__edge *e, int off_x, float start_point, void *userdata)
{
stbtt__active_edge *z = (stbtt__active_edge *) stbtt__hheap_alloc(hh, sizeof(*z), userdata);
float dxdy = (e->x1 - e->x0) / (e->y1 - e->y0);
STBTT_assert(z != NULL);
if (!z) return z;
// round dx down to avoid overshooting
if (dxdy < 0)
z->dx = -STBTT_ifloor(STBTT_FIX * -dxdy);
else
z->dx = STBTT_ifloor(STBTT_FIX * dxdy);
z->x = STBTT_ifloor(STBTT_FIX * e->x0 + z->dx * (start_point - e->y0)); // use z->dx so when we offset later it's by the same amount
z->x -= off_x * STBTT_FIX;
z->ey = e->y1;
z->next = 0;
z->direction = e->invert ? 1 : -1;
return z;
}
#elif STBTT_RASTERIZER_VERSION == 2
static stbtt__active_edge *stbtt__new_active(stbtt__hheap *hh, stbtt__edge *e, int off_x, float start_point, void *userdata)
{
stbtt__active_edge *z = (stbtt__active_edge *) stbtt__hheap_alloc(hh, sizeof(*z), userdata);
float dxdy = (e->x1 - e->x0) / (e->y1 - e->y0);
STBTT_assert(z != NULL);
//STBTT_assert(e->y0 <= start_point);
if (!z) return z;
z->fdx = dxdy;
z->fdy = dxdy != 0.0f ? (1.0f/dxdy) : 0.0f;
z->fx = e->x0 + dxdy * (start_point - e->y0);
z->fx -= off_x;
z->direction = e->invert ? 1.0f : -1.0f;
z->sy = e->y0;
z->ey = e->y1;
z->next = 0;
return z;
}
#else
#error "Unrecognized value of STBTT_RASTERIZER_VERSION"
#endif
#if STBTT_RASTERIZER_VERSION == 1
// note: this routine clips fills that extend off the edges... ideally this
// wouldn't happen, but it could happen if the truetype glyph bounding boxes
// are wrong, or if the user supplies a too-small bitmap
static void stbtt__fill_active_edges(unsigned char *scanline, int len, stbtt__active_edge *e, int max_weight)
{
// non-zero winding fill
int x0=0, w=0;
while (e) {
if (w == 0) {
// if we're currently at zero, we need to record the edge start point
x0 = e->x; w += e->direction;
} else {
int x1 = e->x; w += e->direction;
// if we went to zero, we need to draw
if (w == 0) {
int i = x0 >> STBTT_FIXSHIFT;
int j = x1 >> STBTT_FIXSHIFT;
if (i < len && j >= 0) {
if (i == j) {
// x0,x1 are the same pixel, so compute combined coverage
scanline[i] = scanline[i] + (stbtt_uint8) ((x1 - x0) * max_weight >> STBTT_FIXSHIFT);
} else {
if (i >= 0) // add antialiasing for x0
scanline[i] = scanline[i] + (stbtt_uint8) (((STBTT_FIX - (x0 & STBTT_FIXMASK)) * max_weight) >> STBTT_FIXSHIFT);
else
i = -1; // clip
if (j < len) // add antialiasing for x1
scanline[j] = scanline[j] + (stbtt_uint8) (((x1 & STBTT_FIXMASK) * max_weight) >> STBTT_FIXSHIFT);
else
j = len; // clip
for (++i; i < j; ++i) // fill pixels between x0 and x1
scanline[i] = scanline[i] + (stbtt_uint8) max_weight;
}
}
}
}
e = e->next;
}
}
static void stbtt__rasterize_sorted_edges(stbtt__bitmap *result, stbtt__edge *e, int n, int vsubsample, int off_x, int off_y, void *userdata)
{
stbtt__hheap hh = { 0, 0, 0 };
stbtt__active_edge *active = NULL;
int y,j=0;
int max_weight = (255 / vsubsample); // weight per vertical scanline
int s; // vertical subsample index
unsigned char scanline_data[512], *scanline;
if (result->w > 512)
scanline = (unsigned char *) STBTT_malloc(result->w, userdata);
else
scanline = scanline_data;
y = off_y * vsubsample;
e[n].y0 = (off_y + result->h) * (float) vsubsample + 1;
while (j < result->h) {
STBTT_memset(scanline, 0, result->w);
for (s=0; s < vsubsample; ++s) {
// find center of pixel for this scanline
float scan_y = y + 0.5f;
stbtt__active_edge **step = &active;
// update all active edges;
// remove all active edges that terminate before the center of this scanline
while (*step) {
stbtt__active_edge * z = *step;
if (z->ey <= scan_y) {
*step = z->next; // delete from list
STBTT_assert(z->direction);
z->direction = 0;
stbtt__hheap_free(&hh, z);
} else {
z->x += z->dx; // advance to position for current scanline
step = &((*step)->next); // advance through list
}
}
// resort the list if needed
for(;;) {
int changed=0;
step = &active;
while (*step && (*step)->next) {
if ((*step)->x > (*step)->next->x) {
stbtt__active_edge *t = *step;
stbtt__active_edge *q = t->next;
t->next = q->next;
q->next = t;
*step = q;
changed = 1;
}
step = &(*step)->next;
}
if (!changed) break;
}
// insert all edges that start before the center of this scanline -- omit ones that also end on this scanline
while (e->y0 <= scan_y) {
if (e->y1 > scan_y) {
stbtt__active_edge *z = stbtt__new_active(&hh, e, off_x, scan_y, userdata);
if (z != NULL) {
// find insertion point
if (active == NULL)
active = z;
else if (z->x < active->x) {
// insert at front
z->next = active;
active = z;
} else {
// find thing to insert AFTER
stbtt__active_edge *p = active;
while (p->next && p->next->x < z->x)
p = p->next;
// at this point, p->next->x is NOT < z->x
z->next = p->next;
p->next = z;
}
}
}
++e;
}
// now process all active edges in XOR fashion
if (active)
stbtt__fill_active_edges(scanline, result->w, active, max_weight);
++y;
}
STBTT_memcpy(result->pixels + j * result->stride, scanline, result->w);
++j;
}
stbtt__hheap_cleanup(&hh, userdata);
if (scanline != scanline_data)
STBTT_free(scanline, userdata);
}
#elif STBTT_RASTERIZER_VERSION == 2
// the edge passed in here does not cross the vertical line at x or the vertical line at x+1
// (i.e. it has already been clipped to those)
static void stbtt__handle_clipped_edge(float *scanline, int x, stbtt__active_edge *e, float x0, float y0, float x1, float y1)
{
if (y0 == y1) return;
STBTT_assert(y0 < y1);
STBTT_assert(e->sy <= e->ey);
if (y0 > e->ey) return;
if (y1 < e->sy) return;
if (y0 < e->sy) {
x0 += (x1-x0) * (e->sy - y0) / (y1-y0);
y0 = e->sy;
}
if (y1 > e->ey) {
x1 += (x1-x0) * (e->ey - y1) / (y1-y0);
y1 = e->ey;
}
if (x0 == x)
STBTT_assert(x1 <= x+1);
else if (x0 == x+1)
STBTT_assert(x1 >= x);
else if (x0 <= x)
STBTT_assert(x1 <= x);
else if (x0 >= x+1)
STBTT_assert(x1 >= x+1);
else
STBTT_assert(x1 >= x && x1 <= x+1);
if (x0 <= x && x1 <= x)
scanline[x] += e->direction * (y1-y0);
else if (x0 >= x+1 && x1 >= x+1)
;
else {
STBTT_assert(x0 >= x && x0 <= x+1 && x1 >= x && x1 <= x+1);
scanline[x] += e->direction * (y1-y0) * (1-((x0-x)+(x1-x))/2); // coverage = 1 - average x position
}
}
static float stbtt__sized_trapezoid_area(float height, float top_width, float bottom_width)
{
STBTT_assert(top_width >= 0);
STBTT_assert(bottom_width >= 0);
return (top_width + bottom_width) / 2.0f * height;
}
static float stbtt__position_trapezoid_area(float height, float tx0, float tx1, float bx0, float bx1)
{
return stbtt__sized_trapezoid_area(height, tx1 - tx0, bx1 - bx0);
}
static float stbtt__sized_triangle_area(float height, float width)
{
return height * width / 2;
}
static void stbtt__fill_active_edges_new(float *scanline, float *scanline_fill, int len, stbtt__active_edge *e, float y_top)
{
float y_bottom = y_top+1;
while (e) {
// brute force every pixel
// compute intersection points with top & bottom
STBTT_assert(e->ey >= y_top);
if (e->fdx == 0) {
float x0 = e->fx;
if (x0 < len) {
if (x0 >= 0) {
stbtt__handle_clipped_edge(scanline,(int) x0,e, x0,y_top, x0,y_bottom);
stbtt__handle_clipped_edge(scanline_fill-1,(int) x0+1,e, x0,y_top, x0,y_bottom);
} else {
stbtt__handle_clipped_edge(scanline_fill-1,0,e, x0,y_top, x0,y_bottom);
}
}
} else {
float x0 = e->fx;
float dx = e->fdx;
float xb = x0 + dx;
float x_top, x_bottom;
float sy0,sy1;
float dy = e->fdy;
STBTT_assert(e->sy <= y_bottom && e->ey >= y_top);
// compute endpoints of line segment clipped to this scanline (if the
// line segment starts on this scanline. x0 is the intersection of the
// line with y_top, but that may be off the line segment.
if (e->sy > y_top) {
x_top = x0 + dx * (e->sy - y_top);
sy0 = e->sy;
} else {
x_top = x0;
sy0 = y_top;
}
if (e->ey < y_bottom) {
x_bottom = x0 + dx * (e->ey - y_top);
sy1 = e->ey;
} else {
x_bottom = xb;
sy1 = y_bottom;
}
if (x_top >= 0 && x_bottom >= 0 && x_top < len && x_bottom < len) {
// from here on, we don't have to range check x values
if ((int) x_top == (int) x_bottom) {
float height;
// simple case, only spans one pixel
int x = (int) x_top;
height = (sy1 - sy0) * e->direction;
STBTT_assert(x >= 0 && x < len);
scanline[x] += stbtt__position_trapezoid_area(height, x_top, x+1.0f, x_bottom, x+1.0f);
scanline_fill[x] += height; // everything right of this pixel is filled
} else {
int x,x1,x2;
float y_crossing, y_final, step, sign, area;
// covers 2+ pixels
if (x_top > x_bottom) {
// flip scanline vertically; signed area is the same
float t;
sy0 = y_bottom - (sy0 - y_top);
sy1 = y_bottom - (sy1 - y_top);
t = sy0, sy0 = sy1, sy1 = t;
t = x_bottom, x_bottom = x_top, x_top = t;
dx = -dx;
dy = -dy;
t = x0, x0 = xb, xb = t;
}
STBTT_assert(dy >= 0);
STBTT_assert(dx >= 0);
x1 = (int) x_top;
x2 = (int) x_bottom;
// compute intersection with y axis at x1+1
y_crossing = y_top + dy * (x1+1 - x0);
// compute intersection with y axis at x2
y_final = y_top + dy * (x2 - x0);
// x1 x_top x2 x_bottom
// y_top +------|-----+------------+------------+--------|---+------------+
// | | | | | |
// | | | | | |
// sy0 | Txxxxx|............|............|............|............|
// y_crossing | *xxxxx.......|............|............|............|
// | | xxxxx..|............|............|............|
// | | /- xx*xxxx........|............|............|
// | | dy < | xxxxxx..|............|............|
// y_final | | \- | xx*xxx.........|............|
// sy1 | | | | xxxxxB...|............|
// | | | | | |
// | | | | | |
// y_bottom +------------+------------+------------+------------+------------+
//
// goal is to measure the area covered by '.' in each pixel
// if x2 is right at the right edge of x1, y_crossing can blow up, github #1057
// @TODO: maybe test against sy1 rather than y_bottom?
if (y_crossing > y_bottom)
y_crossing = y_bottom;
sign = e->direction;
// area of the rectangle covered from sy0..y_crossing
area = sign * (y_crossing-sy0);
// area of the triangle (x_top,sy0), (x1+1,sy0), (x1+1,y_crossing)
scanline[x1] += stbtt__sized_triangle_area(area, x1+1 - x_top);
// check if final y_crossing is blown up; no test case for this
if (y_final > y_bottom) {
int denom = (x2 - (x1+1));
y_final = y_bottom;
if (denom != 0) { // [DEAR IMGUI] Avoid div by zero (https://github.com/nothings/stb/issues/1316)
dy = (y_final - y_crossing ) / denom; // if denom=0, y_final = y_crossing, so y_final <= y_bottom
}
}
// in second pixel, area covered by line segment found in first pixel
// is always a rectangle 1 wide * the height of that line segment; this
// is exactly what the variable 'area' stores. it also gets a contribution
// from the line segment within it. the THIRD pixel will get the first
// pixel's rectangle contribution, the second pixel's rectangle contribution,
// and its own contribution. the 'own contribution' is the same in every pixel except
// the leftmost and rightmost, a trapezoid that slides down in each pixel.
// the second pixel's contribution to the third pixel will be the
// rectangle 1 wide times the height change in the second pixel, which is dy.
step = sign * dy * 1; // dy is dy/dx, change in y for every 1 change in x,
// which multiplied by 1-pixel-width is how much pixel area changes for each step in x
// so the area advances by 'step' every time
for (x = x1+1; x < x2; ++x) {
scanline[x] += area + step/2; // area of trapezoid is 1*step/2
area += step;
}
STBTT_assert(STBTT_fabs(area) <= 1.01f); // accumulated error from area += step unless we round step down
STBTT_assert(sy1 > y_final-0.01f);
// area covered in the last pixel is the rectangle from all the pixels to the left,
// plus the trapezoid filled by the line segment in this pixel all the way to the right edge
scanline[x2] += area + sign * stbtt__position_trapezoid_area(sy1-y_final, (float) x2, x2+1.0f, x_bottom, x2+1.0f);
// the rest of the line is filled based on the total height of the line segment in this pixel
scanline_fill[x2] += sign * (sy1-sy0);
}
} else {
// if edge goes outside of box we're drawing, we require
// clipping logic. since this does not match the intended use
// of this library, we use a different, very slow brute
// force implementation
// note though that this does happen some of the time because
// x_top and x_bottom can be extrapolated at the top & bottom of
// the shape and actually lie outside the bounding box
int x;
for (x=0; x < len; ++x) {
// cases:
//
// there can be up to two intersections with the pixel. any intersection
// with left or right edges can be handled by splitting into two (or three)
// regions. intersections with top & bottom do not necessitate case-wise logic.
//
// the old way of doing this found the intersections with the left & right edges,
// then used some simple logic to produce up to three segments in sorted order
// from top-to-bottom. however, this had a problem: if an x edge was epsilon
// across the x border, then the corresponding y position might not be distinct
// from the other y segment, and it might ignored as an empty segment. to avoid
// that, we need to explicitly produce segments based on x positions.
// rename variables to clearly-defined pairs
float y0 = y_top;
float x1 = (float) (x);
float x2 = (float) (x+1);
float x3 = xb;
float y3 = y_bottom;
// x = e->x + e->dx * (y-y_top)
// (y-y_top) = (x - e->x) / e->dx
// y = (x - e->x) / e->dx + y_top
float y1 = (x - x0) / dx + y_top;
float y2 = (x+1 - x0) / dx + y_top;
if (x0 < x1 && x3 > x2) { // three segments descending down-right
stbtt__handle_clipped_edge(scanline,x,e, x0,y0, x1,y1);
stbtt__handle_clipped_edge(scanline,x,e, x1,y1, x2,y2);
stbtt__handle_clipped_edge(scanline,x,e, x2,y2, x3,y3);
} else if (x3 < x1 && x0 > x2) { // three segments descending down-left
stbtt__handle_clipped_edge(scanline,x,e, x0,y0, x2,y2);
stbtt__handle_clipped_edge(scanline,x,e, x2,y2, x1,y1);
stbtt__handle_clipped_edge(scanline,x,e, x1,y1, x3,y3);
} else if (x0 < x1 && x3 > x1) { // two segments across x, down-right
stbtt__handle_clipped_edge(scanline,x,e, x0,y0, x1,y1);
stbtt__handle_clipped_edge(scanline,x,e, x1,y1, x3,y3);
} else if (x3 < x1 && x0 > x1) { // two segments across x, down-left
stbtt__handle_clipped_edge(scanline,x,e, x0,y0, x1,y1);
stbtt__handle_clipped_edge(scanline,x,e, x1,y1, x3,y3);
} else if (x0 < x2 && x3 > x2) { // two segments across x+1, down-right
stbtt__handle_clipped_edge(scanline,x,e, x0,y0, x2,y2);
stbtt__handle_clipped_edge(scanline,x,e, x2,y2, x3,y3);
} else if (x3 < x2 && x0 > x2) { // two segments across x+1, down-left
stbtt__handle_clipped_edge(scanline,x,e, x0,y0, x2,y2);
stbtt__handle_clipped_edge(scanline,x,e, x2,y2, x3,y3);
} else { // one segment
stbtt__handle_clipped_edge(scanline,x,e, x0,y0, x3,y3);
}
}
}
}
e = e->next;
}
}
// directly AA rasterize edges w/o supersampling
static void stbtt__rasterize_sorted_edges(stbtt__bitmap *result, stbtt__edge *e, int n, int vsubsample, int off_x, int off_y, void *userdata)
{
stbtt__hheap hh = { 0, 0, 0 };
stbtt__active_edge *active = NULL;
int y,j=0, i;
float scanline_data[129], *scanline, *scanline2;
STBTT__NOTUSED(vsubsample);
if (result->w > 64)
scanline = (float *) STBTT_malloc((result->w*2+1) * sizeof(float), userdata);
else
scanline = scanline_data;
scanline2 = scanline + result->w;
y = off_y;
e[n].y0 = (float) (off_y + result->h) + 1;
while (j < result->h) {
// find center of pixel for this scanline
float scan_y_top = y + 0.0f;
float scan_y_bottom = y + 1.0f;
stbtt__active_edge **step = &active;
STBTT_memset(scanline , 0, result->w*sizeof(scanline[0]));
STBTT_memset(scanline2, 0, (result->w+1)*sizeof(scanline[0]));
// update all active edges;
// remove all active edges that terminate before the top of this scanline
while (*step) {
stbtt__active_edge * z = *step;
if (z->ey <= scan_y_top) {
*step = z->next; // delete from list
STBTT_assert(z->direction);
z->direction = 0;
stbtt__hheap_free(&hh, z);
} else {
step = &((*step)->next); // advance through list
}
}
// insert all edges that start before the bottom of this scanline
while (e->y0 <= scan_y_bottom) {
if (e->y0 != e->y1) {
stbtt__active_edge *z = stbtt__new_active(&hh, e, off_x, scan_y_top, userdata);
if (z != NULL) {
if (j == 0 && off_y != 0) {
if (z->ey < scan_y_top) {
// this can happen due to subpixel positioning and some kind of fp rounding error i think
z->ey = scan_y_top;
}
}
STBTT_assert(z->ey >= scan_y_top); // if we get really unlucky a tiny bit of an edge can be out of bounds
// insert at front
z->next = active;
active = z;
}
}
++e;
}
// now process all active edges
if (active)
stbtt__fill_active_edges_new(scanline, scanline2+1, result->w, active, scan_y_top);
{
float sum = 0;
for (i=0; i < result->w; ++i) {
float k;
int m;
sum += scanline2[i];
k = scanline[i] + sum;
k = (float) STBTT_fabs(k)*255 + 0.5f;
m = (int) k;
if (m > 255) m = 255;
result->pixels[j*result->stride + i] = (unsigned char) m;
}
}
// advance all the edges
step = &active;
while (*step) {
stbtt__active_edge *z = *step;
z->fx += z->fdx; // advance to position for current scanline
step = &((*step)->next); // advance through list
}
++y;
++j;
}
stbtt__hheap_cleanup(&hh, userdata);
if (scanline != scanline_data)
STBTT_free(scanline, userdata);
}
#else
#error "Unrecognized value of STBTT_RASTERIZER_VERSION"
#endif
#define STBTT__COMPARE(a,b) ((a)->y0 < (b)->y0)
static void stbtt__sort_edges_ins_sort(stbtt__edge *p, int n)
{
int i,j;
for (i=1; i < n; ++i) {
stbtt__edge t = p[i], *a = &t;
j = i;
while (j > 0) {
stbtt__edge *b = &p[j-1];
int c = STBTT__COMPARE(a,b);
if (!c) break;
p[j] = p[j-1];
--j;
}
if (i != j)
p[j] = t;
}
}
static void stbtt__sort_edges_quicksort(stbtt__edge *p, int n)
{
/* threshold for transitioning to insertion sort */
while (n > 12) {
stbtt__edge t;
int c01,c12,c,m,i,j;
/* compute median of three */
m = n >> 1;
c01 = STBTT__COMPARE(&p[0],&p[m]);
c12 = STBTT__COMPARE(&p[m],&p[n-1]);
/* if 0 >= mid >= end, or 0 < mid < end, then use mid */
if (c01 != c12) {
/* otherwise, we'll need to swap something else to middle */
int z;
c = STBTT__COMPARE(&p[0],&p[n-1]);
/* 0>mid && mid<n: 0>n => n; 0<n => 0 */
/* 0<mid && mid>n: 0>n => 0; 0<n => n */
z = (c == c12) ? 0 : n-1;
t = p[z];
p[z] = p[m];
p[m] = t;
}
/* now p[m] is the median-of-three */
/* swap it to the beginning so it won't move around */
t = p[0];
p[0] = p[m];
p[m] = t;
/* partition loop */
i=1;
j=n-1;
for(;;) {
/* handling of equality is crucial here */
/* for sentinels & efficiency with duplicates */
for (;;++i) {
if (!STBTT__COMPARE(&p[i], &p[0])) break;
}
for (;;--j) {
if (!STBTT__COMPARE(&p[0], &p[j])) break;
}
/* make sure we haven't crossed */
if (i >= j) break;
t = p[i];
p[i] = p[j];
p[j] = t;
++i;
--j;
}
/* recurse on smaller side, iterate on larger */
if (j < (n-i)) {
stbtt__sort_edges_quicksort(p,j);
p = p+i;
n = n-i;
} else {
stbtt__sort_edges_quicksort(p+i, n-i);
n = j;
}
}
}
static void stbtt__sort_edges(stbtt__edge *p, int n)
{
stbtt__sort_edges_quicksort(p, n);
stbtt__sort_edges_ins_sort(p, n);
}
typedef struct
{
float x,y;
} stbtt__point;
static void stbtt__rasterize(stbtt__bitmap *result, stbtt__point *pts, int *wcount, int windings, float scale_x, float scale_y, float shift_x, float shift_y, int off_x, int off_y, int invert, void *userdata)
{
float y_scale_inv = invert ? -scale_y : scale_y;
stbtt__edge *e;
int n,i,j,k,m;
#if STBTT_RASTERIZER_VERSION == 1
int vsubsample = result->h < 8 ? 15 : 5;
#elif STBTT_RASTERIZER_VERSION == 2
int vsubsample = 1;
#else
#error "Unrecognized value of STBTT_RASTERIZER_VERSION"
#endif
// vsubsample should divide 255 evenly; otherwise we won't reach full opacity
// now we have to blow out the windings into explicit edge lists
n = 0;
for (i=0; i < windings; ++i)
n += wcount[i];
e = (stbtt__edge *) STBTT_malloc(sizeof(*e) * (n+1), userdata); // add an extra one as a sentinel
if (e == 0) return;
n = 0;
m=0;
for (i=0; i < windings; ++i) {
stbtt__point *p = pts + m;
m += wcount[i];
j = wcount[i]-1;
for (k=0; k < wcount[i]; j=k++) {
int a=k,b=j;
// skip the edge if horizontal
if (p[j].y == p[k].y)
continue;
// add edge from j to k to the list
e[n].invert = 0;
if (invert ? p[j].y > p[k].y : p[j].y < p[k].y) {
e[n].invert = 1;
a=j,b=k;
}
e[n].x0 = p[a].x * scale_x + shift_x;
e[n].y0 = (p[a].y * y_scale_inv + shift_y) * vsubsample;
e[n].x1 = p[b].x * scale_x + shift_x;
e[n].y1 = (p[b].y * y_scale_inv + shift_y) * vsubsample;
++n;
}
}
// now sort the edges by their highest point (should snap to integer, and then by x)
//STBTT_sort(e, n, sizeof(e[0]), stbtt__edge_compare);
stbtt__sort_edges(e, n);
// now, traverse the scanlines and find the intersections on each scanline, use xor winding rule
stbtt__rasterize_sorted_edges(result, e, n, vsubsample, off_x, off_y, userdata);
STBTT_free(e, userdata);
}
static void stbtt__add_point(stbtt__point *points, int n, float x, float y)
{
if (!points) return; // during first pass, it's unallocated
points[n].x = x;
points[n].y = y;
}
// tessellate until threshold p is happy... @TODO warped to compensate for non-linear stretching
static int stbtt__tesselate_curve(stbtt__point *points, int *num_points, float x0, float y0, float x1, float y1, float x2, float y2, float objspace_flatness_squared, int n)
{
// midpoint
float mx = (x0 + 2*x1 + x2)/4;
float my = (y0 + 2*y1 + y2)/4;
// versus directly drawn line
float dx = (x0+x2)/2 - mx;
float dy = (y0+y2)/2 - my;
if (n > 16) // 65536 segments on one curve better be enough!
return 1;
if (dx*dx+dy*dy > objspace_flatness_squared) { // half-pixel error allowed... need to be smaller if AA
stbtt__tesselate_curve(points, num_points, x0,y0, (x0+x1)/2.0f,(y0+y1)/2.0f, mx,my, objspace_flatness_squared,n+1);
stbtt__tesselate_curve(points, num_points, mx,my, (x1+x2)/2.0f,(y1+y2)/2.0f, x2,y2, objspace_flatness_squared,n+1);
} else {
stbtt__add_point(points, *num_points,x2,y2);
*num_points = *num_points+1;
}
return 1;
}
static void stbtt__tesselate_cubic(stbtt__point *points, int *num_points, float x0, float y0, float x1, float y1, float x2, float y2, float x3, float y3, float objspace_flatness_squared, int n)
{
// @TODO this "flatness" calculation is just made-up nonsense that seems to work well enough
float dx0 = x1-x0;
float dy0 = y1-y0;
float dx1 = x2-x1;
float dy1 = y2-y1;
float dx2 = x3-x2;
float dy2 = y3-y2;
float dx = x3-x0;
float dy = y3-y0;
float longlen = (float) (STBTT_sqrt(dx0*dx0+dy0*dy0)+STBTT_sqrt(dx1*dx1+dy1*dy1)+STBTT_sqrt(dx2*dx2+dy2*dy2));
float shortlen = (float) STBTT_sqrt(dx*dx+dy*dy);
float flatness_squared = longlen*longlen-shortlen*shortlen;
if (n > 16) // 65536 segments on one curve better be enough!
return;
if (flatness_squared > objspace_flatness_squared) {
float x01 = (x0+x1)/2;
float y01 = (y0+y1)/2;
float x12 = (x1+x2)/2;
float y12 = (y1+y2)/2;
float x23 = (x2+x3)/2;
float y23 = (y2+y3)/2;
float xa = (x01+x12)/2;
float ya = (y01+y12)/2;
float xb = (x12+x23)/2;
float yb = (y12+y23)/2;
float mx = (xa+xb)/2;
float my = (ya+yb)/2;
stbtt__tesselate_cubic(points, num_points, x0,y0, x01,y01, xa,ya, mx,my, objspace_flatness_squared,n+1);
stbtt__tesselate_cubic(points, num_points, mx,my, xb,yb, x23,y23, x3,y3, objspace_flatness_squared,n+1);
} else {
stbtt__add_point(points, *num_points,x3,y3);
*num_points = *num_points+1;
}
}
// returns number of contours
static stbtt__point *stbtt_FlattenCurves(stbtt_vertex *vertices, int num_verts, float objspace_flatness, int **contour_lengths, int *num_contours, void *userdata)
{
stbtt__point *points=0;
int num_points=0;
float objspace_flatness_squared = objspace_flatness * objspace_flatness;
int i,n=0,start=0, pass;
// count how many "moves" there are to get the contour count
for (i=0; i < num_verts; ++i)
if (vertices[i].type == STBTT_vmove)
++n;
*num_contours = n;
if (n == 0) return 0;
*contour_lengths = (int *) STBTT_malloc(sizeof(**contour_lengths) * n, userdata);
if (*contour_lengths == 0) {
*num_contours = 0;
return 0;
}
// make two passes through the points so we don't need to realloc
for (pass=0; pass < 2; ++pass) {
float x=0,y=0;
if (pass == 1) {
points = (stbtt__point *) STBTT_malloc(num_points * sizeof(points[0]), userdata);
if (points == NULL) goto error;
}
num_points = 0;
n= -1;
for (i=0; i < num_verts; ++i) {
switch (vertices[i].type) {
case STBTT_vmove:
// start the next contour
if (n >= 0)
(*contour_lengths)[n] = num_points - start;
++n;
start = num_points;
x = vertices[i].x, y = vertices[i].y;
stbtt__add_point(points, num_points++, x,y);
break;
case STBTT_vline:
x = vertices[i].x, y = vertices[i].y;
stbtt__add_point(points, num_points++, x, y);
break;
case STBTT_vcurve:
stbtt__tesselate_curve(points, &num_points, x,y,
vertices[i].cx, vertices[i].cy,
vertices[i].x, vertices[i].y,
objspace_flatness_squared, 0);
x = vertices[i].x, y = vertices[i].y;
break;
case STBTT_vcubic:
stbtt__tesselate_cubic(points, &num_points, x,y,
vertices[i].cx, vertices[i].cy,
vertices[i].cx1, vertices[i].cy1,
vertices[i].x, vertices[i].y,
objspace_flatness_squared, 0);
x = vertices[i].x, y = vertices[i].y;
break;
}
}
(*contour_lengths)[n] = num_points - start;
}
return points;
error:
STBTT_free(points, userdata);
STBTT_free(*contour_lengths, userdata);
*contour_lengths = 0;
*num_contours = 0;
return NULL;
}
STBTT_DEF void stbtt_Rasterize(stbtt__bitmap *result, float flatness_in_pixels, stbtt_vertex *vertices, int num_verts, float scale_x, float scale_y, float shift_x, float shift_y, int x_off, int y_off, int invert, void *userdata)
{
float scale = scale_x > scale_y ? scale_y : scale_x;
int winding_count = 0;
int *winding_lengths = NULL;
stbtt__point *windings = stbtt_FlattenCurves(vertices, num_verts, flatness_in_pixels / scale, &winding_lengths, &winding_count, userdata);
if (windings) {
stbtt__rasterize(result, windings, winding_lengths, winding_count, scale_x, scale_y, shift_x, shift_y, x_off, y_off, invert, userdata);
STBTT_free(winding_lengths, userdata);
STBTT_free(windings, userdata);
}
}
STBTT_DEF void stbtt_FreeBitmap(unsigned char *bitmap, void *userdata)
{
STBTT_free(bitmap, userdata);
}
STBTT_DEF unsigned char *stbtt_GetGlyphBitmapSubpixel(const stbtt_fontinfo *info, float scale_x, float scale_y, float shift_x, float shift_y, int glyph, int *width, int *height, int *xoff, int *yoff)
{
int ix0,iy0,ix1,iy1;
stbtt__bitmap gbm;
stbtt_vertex *vertices;
int num_verts = stbtt_GetGlyphShape(info, glyph, &vertices);
if (scale_x == 0) scale_x = scale_y;
if (scale_y == 0) {
if (scale_x == 0) {
STBTT_free(vertices, info->userdata);
return NULL;
}
scale_y = scale_x;
}
stbtt_GetGlyphBitmapBoxSubpixel(info, glyph, scale_x, scale_y, shift_x, shift_y, &ix0,&iy0,&ix1,&iy1);
// now we get the size
gbm.w = (ix1 - ix0);
gbm.h = (iy1 - iy0);
gbm.pixels = NULL; // in case we error
if (width ) *width = gbm.w;
if (height) *height = gbm.h;
if (xoff ) *xoff = ix0;
if (yoff ) *yoff = iy0;
if (gbm.w && gbm.h) {
gbm.pixels = (unsigned char *) STBTT_malloc(gbm.w * gbm.h, info->userdata);
if (gbm.pixels) {
gbm.stride = gbm.w;
stbtt_Rasterize(&gbm, 0.35f, vertices, num_verts, scale_x, scale_y, shift_x, shift_y, ix0, iy0, 1, info->userdata);
}
}
STBTT_free(vertices, info->userdata);
return gbm.pixels;
}
STBTT_DEF unsigned char *stbtt_GetGlyphBitmap(const stbtt_fontinfo *info, float scale_x, float scale_y, int glyph, int *width, int *height, int *xoff, int *yoff)
{
return stbtt_GetGlyphBitmapSubpixel(info, scale_x, scale_y, 0.0f, 0.0f, glyph, width, height, xoff, yoff);
}
STBTT_DEF void stbtt_MakeGlyphBitmapSubpixel(const stbtt_fontinfo *info, unsigned char *output, int out_w, int out_h, int out_stride, float scale_x, float scale_y, float shift_x, float shift_y, int glyph)
{
int ix0,iy0;
stbtt_vertex *vertices;
int num_verts = stbtt_GetGlyphShape(info, glyph, &vertices);
stbtt__bitmap gbm;
stbtt_GetGlyphBitmapBoxSubpixel(info, glyph, scale_x, scale_y, shift_x, shift_y, &ix0,&iy0,0,0);
gbm.pixels = output;
gbm.w = out_w;
gbm.h = out_h;
gbm.stride = out_stride;
if (gbm.w && gbm.h)
stbtt_Rasterize(&gbm, 0.35f, vertices, num_verts, scale_x, scale_y, shift_x, shift_y, ix0,iy0, 1, info->userdata);
STBTT_free(vertices, info->userdata);
}
STBTT_DEF void stbtt_MakeGlyphBitmap(const stbtt_fontinfo *info, unsigned char *output, int out_w, int out_h, int out_stride, float scale_x, float scale_y, int glyph)
{
stbtt_MakeGlyphBitmapSubpixel(info, output, out_w, out_h, out_stride, scale_x, scale_y, 0.0f,0.0f, glyph);
}
STBTT_DEF unsigned char *stbtt_GetCodepointBitmapSubpixel(const stbtt_fontinfo *info, float scale_x, float scale_y, float shift_x, float shift_y, int codepoint, int *width, int *height, int *xoff, int *yoff)
{
return stbtt_GetGlyphBitmapSubpixel(info, scale_x, scale_y,shift_x,shift_y, stbtt_FindGlyphIndex(info,codepoint), width,height,xoff,yoff);
}
STBTT_DEF void stbtt_MakeCodepointBitmapSubpixelPrefilter(const stbtt_fontinfo *info, unsigned char *output, int out_w, int out_h, int out_stride, float scale_x, float scale_y, float shift_x, float shift_y, int oversample_x, int oversample_y, float *sub_x, float *sub_y, int codepoint)
{
stbtt_MakeGlyphBitmapSubpixelPrefilter(info, output, out_w, out_h, out_stride, scale_x, scale_y, shift_x, shift_y, oversample_x, oversample_y, sub_x, sub_y, stbtt_FindGlyphIndex(info,codepoint));
}
STBTT_DEF void stbtt_MakeCodepointBitmapSubpixel(const stbtt_fontinfo *info, unsigned char *output, int out_w, int out_h, int out_stride, float scale_x, float scale_y, float shift_x, float shift_y, int codepoint)
{
stbtt_MakeGlyphBitmapSubpixel(info, output, out_w, out_h, out_stride, scale_x, scale_y, shift_x, shift_y, stbtt_FindGlyphIndex(info,codepoint));
}
STBTT_DEF unsigned char *stbtt_GetCodepointBitmap(const stbtt_fontinfo *info, float scale_x, float scale_y, int codepoint, int *width, int *height, int *xoff, int *yoff)
{
return stbtt_GetCodepointBitmapSubpixel(info, scale_x, scale_y, 0.0f,0.0f, codepoint, width,height,xoff,yoff);
}
STBTT_DEF void stbtt_MakeCodepointBitmap(const stbtt_fontinfo *info, unsigned char *output, int out_w, int out_h, int out_stride, float scale_x, float scale_y, int codepoint)
{
stbtt_MakeCodepointBitmapSubpixel(info, output, out_w, out_h, out_stride, scale_x, scale_y, 0.0f,0.0f, codepoint);
}
//////////////////////////////////////////////////////////////////////////////
//
// bitmap baking
//
// This is SUPER-CRAPPY packing to keep source code small
static int stbtt_BakeFontBitmap_internal(unsigned char *data, int offset, // font location (use offset=0 for plain .ttf)
float pixel_height, // height of font in pixels
unsigned char *pixels, int pw, int ph, // bitmap to be filled in
int first_char, int num_chars, // characters to bake
stbtt_bakedchar *chardata)
{
float scale;
int x,y,bottom_y, i;
stbtt_fontinfo f;
f.userdata = NULL;
if (!stbtt_InitFont(&f, data, offset))
return -1;
STBTT_memset(pixels, 0, pw*ph); // background of 0 around pixels
x=y=1;
bottom_y = 1;
scale = stbtt_ScaleForPixelHeight(&f, pixel_height);
for (i=0; i < num_chars; ++i) {
int advance, lsb, x0,y0,x1,y1,gw,gh;
int g = stbtt_FindGlyphIndex(&f, first_char + i);
stbtt_GetGlyphHMetrics(&f, g, &advance, &lsb);
stbtt_GetGlyphBitmapBox(&f, g, scale,scale, &x0,&y0,&x1,&y1);
gw = x1-x0;
gh = y1-y0;
if (x + gw + 1 >= pw)
y = bottom_y, x = 1; // advance to next row
if (y + gh + 1 >= ph) // check if it fits vertically AFTER potentially moving to next row
return -i;
STBTT_assert(x+gw < pw);
STBTT_assert(y+gh < ph);
stbtt_MakeGlyphBitmap(&f, pixels+x+y*pw, gw,gh,pw, scale,scale, g);
chardata[i].x0 = (stbtt_int16) x;
chardata[i].y0 = (stbtt_int16) y;
chardata[i].x1 = (stbtt_int16) (x + gw);
chardata[i].y1 = (stbtt_int16) (y + gh);
chardata[i].xadvance = scale * advance;
chardata[i].xoff = (float) x0;
chardata[i].yoff = (float) y0;
x = x + gw + 1;
if (y+gh+1 > bottom_y)
bottom_y = y+gh+1;
}
return bottom_y;
}
STBTT_DEF void stbtt_GetBakedQuad(const stbtt_bakedchar *chardata, int pw, int ph, int char_index, float *xpos, float *ypos, stbtt_aligned_quad *q, int opengl_fillrule)
{
float d3d_bias = opengl_fillrule ? 0 : -0.5f;
float ipw = 1.0f / pw, iph = 1.0f / ph;
const stbtt_bakedchar *b = chardata + char_index;
int round_x = STBTT_ifloor((*xpos + b->xoff) + 0.5f);
int round_y = STBTT_ifloor((*ypos + b->yoff) + 0.5f);
q->x0 = round_x + d3d_bias;
q->y0 = round_y + d3d_bias;
q->x1 = round_x + b->x1 - b->x0 + d3d_bias;
q->y1 = round_y + b->y1 - b->y0 + d3d_bias;
q->s0 = b->x0 * ipw;
q->t0 = b->y0 * iph;
q->s1 = b->x1 * ipw;
q->t1 = b->y1 * iph;
*xpos += b->xadvance;
}
//////////////////////////////////////////////////////////////////////////////
//
// rectangle packing replacement routines if you don't have stb_rect_pack.h
//
#ifndef STB_RECT_PACK_VERSION
typedef int stbrp_coord;
////////////////////////////////////////////////////////////////////////////////////
// //
// //
// COMPILER WARNING ?!?!? //
// //
// //
// if you get a compile warning due to these symbols being defined more than //
// once, move #include "stb_rect_pack.h" before #include "stb_truetype.h" //
// //
////////////////////////////////////////////////////////////////////////////////////
typedef struct
{
int width,height;
int x,y,bottom_y;
} stbrp_context;
typedef struct
{
unsigned char x;
} stbrp_node;
struct stbrp_rect
{
stbrp_coord x,y;
int id,w,h,was_packed;
};
static void stbrp_init_target(stbrp_context *con, int pw, int ph, stbrp_node *nodes, int num_nodes)
{
con->width = pw;
con->height = ph;
con->x = 0;
con->y = 0;
con->bottom_y = 0;
STBTT__NOTUSED(nodes);
STBTT__NOTUSED(num_nodes);
}
static void stbrp_pack_rects(stbrp_context *con, stbrp_rect *rects, int num_rects)
{
int i;
for (i=0; i < num_rects; ++i) {
if (con->x + rects[i].w > con->width) {
con->x = 0;
con->y = con->bottom_y;
}
if (con->y + rects[i].h > con->height)
break;
rects[i].x = con->x;
rects[i].y = con->y;
rects[i].was_packed = 1;
con->x += rects[i].w;
if (con->y + rects[i].h > con->bottom_y)
con->bottom_y = con->y + rects[i].h;
}
for ( ; i < num_rects; ++i)
rects[i].was_packed = 0;
}
#endif
//////////////////////////////////////////////////////////////////////////////
//
// bitmap baking
//
// This is SUPER-AWESOME (tm Ryan Gordon) packing using stb_rect_pack.h. If
// stb_rect_pack.h isn't available, it uses the BakeFontBitmap strategy.
STBTT_DEF int stbtt_PackBegin(stbtt_pack_context *spc, unsigned char *pixels, int pw, int ph, int stride_in_bytes, int padding, void *alloc_context)
{
stbrp_context *context = (stbrp_context *) STBTT_malloc(sizeof(*context) ,alloc_context);
int num_nodes = pw - padding;
stbrp_node *nodes = (stbrp_node *) STBTT_malloc(sizeof(*nodes ) * num_nodes,alloc_context);
if (context == NULL || nodes == NULL) {
if (context != NULL) STBTT_free(context, alloc_context);
if (nodes != NULL) STBTT_free(nodes , alloc_context);
return 0;
}
spc->user_allocator_context = alloc_context;
spc->width = pw;
spc->height = ph;
spc->pixels = pixels;
spc->pack_info = context;
spc->nodes = nodes;
spc->padding = padding;
spc->stride_in_bytes = stride_in_bytes != 0 ? stride_in_bytes : pw;
spc->h_oversample = 1;
spc->v_oversample = 1;
spc->skip_missing = 0;
stbrp_init_target(context, pw-padding, ph-padding, nodes, num_nodes);
if (pixels)
STBTT_memset(pixels, 0, pw*ph); // background of 0 around pixels
return 1;
}
STBTT_DEF void stbtt_PackEnd (stbtt_pack_context *spc)
{
STBTT_free(spc->nodes , spc->user_allocator_context);
STBTT_free(spc->pack_info, spc->user_allocator_context);
}
STBTT_DEF void stbtt_PackSetOversampling(stbtt_pack_context *spc, unsigned int h_oversample, unsigned int v_oversample)
{
STBTT_assert(h_oversample <= STBTT_MAX_OVERSAMPLE);
STBTT_assert(v_oversample <= STBTT_MAX_OVERSAMPLE);
if (h_oversample <= STBTT_MAX_OVERSAMPLE)
spc->h_oversample = h_oversample;
if (v_oversample <= STBTT_MAX_OVERSAMPLE)
spc->v_oversample = v_oversample;
}
STBTT_DEF void stbtt_PackSetSkipMissingCodepoints(stbtt_pack_context *spc, int skip)
{
spc->skip_missing = skip;
}
#define STBTT__OVER_MASK (STBTT_MAX_OVERSAMPLE-1)
static void stbtt__h_prefilter(unsigned char *pixels, int w, int h, int stride_in_bytes, unsigned int kernel_width)
{
unsigned char buffer[STBTT_MAX_OVERSAMPLE];
int safe_w = w - kernel_width;
int j;
STBTT_memset(buffer, 0, STBTT_MAX_OVERSAMPLE); // suppress bogus warning from VS2013 -analyze
for (j=0; j < h; ++j) {
int i;
unsigned int total;
STBTT_memset(buffer, 0, kernel_width);
total = 0;
// make kernel_width a constant in common cases so compiler can optimize out the divide
switch (kernel_width) {
case 2:
for (i=0; i <= safe_w; ++i) {
total += pixels[i] - buffer[i & STBTT__OVER_MASK];
buffer[(i+kernel_width) & STBTT__OVER_MASK] = pixels[i];
pixels[i] = (unsigned char) (total / 2);
}
break;
case 3:
for (i=0; i <= safe_w; ++i) {
total += pixels[i] - buffer[i & STBTT__OVER_MASK];
buffer[(i+kernel_width) & STBTT__OVER_MASK] = pixels[i];
pixels[i] = (unsigned char) (total / 3);
}
break;
case 4:
for (i=0; i <= safe_w; ++i) {
total += pixels[i] - buffer[i & STBTT__OVER_MASK];
buffer[(i+kernel_width) & STBTT__OVER_MASK] = pixels[i];
pixels[i] = (unsigned char) (total / 4);
}
break;
case 5:
for (i=0; i <= safe_w; ++i) {
total += pixels[i] - buffer[i & STBTT__OVER_MASK];
buffer[(i+kernel_width) & STBTT__OVER_MASK] = pixels[i];
pixels[i] = (unsigned char) (total / 5);
}
break;
default:
for (i=0; i <= safe_w; ++i) {
total += pixels[i] - buffer[i & STBTT__OVER_MASK];
buffer[(i+kernel_width) & STBTT__OVER_MASK] = pixels[i];
pixels[i] = (unsigned char) (total / kernel_width);
}
break;
}
for (; i < w; ++i) {
STBTT_assert(pixels[i] == 0);
total -= buffer[i & STBTT__OVER_MASK];
pixels[i] = (unsigned char) (total / kernel_width);
}
pixels += stride_in_bytes;
}
}
static void stbtt__v_prefilter(unsigned char *pixels, int w, int h, int stride_in_bytes, unsigned int kernel_width)
{
unsigned char buffer[STBTT_MAX_OVERSAMPLE];
int safe_h = h - kernel_width;
int j;
STBTT_memset(buffer, 0, STBTT_MAX_OVERSAMPLE); // suppress bogus warning from VS2013 -analyze
for (j=0; j < w; ++j) {
int i;
unsigned int total;
STBTT_memset(buffer, 0, kernel_width);
total = 0;
// make kernel_width a constant in common cases so compiler can optimize out the divide
switch (kernel_width) {
case 2:
for (i=0; i <= safe_h; ++i) {
total += pixels[i*stride_in_bytes] - buffer[i & STBTT__OVER_MASK];
buffer[(i+kernel_width) & STBTT__OVER_MASK] = pixels[i*stride_in_bytes];
pixels[i*stride_in_bytes] = (unsigned char) (total / 2);
}
break;
case 3:
for (i=0; i <= safe_h; ++i) {
total += pixels[i*stride_in_bytes] - buffer[i & STBTT__OVER_MASK];
buffer[(i+kernel_width) & STBTT__OVER_MASK] = pixels[i*stride_in_bytes];
pixels[i*stride_in_bytes] = (unsigned char) (total / 3);
}
break;
case 4:
for (i=0; i <= safe_h; ++i) {
total += pixels[i*stride_in_bytes] - buffer[i & STBTT__OVER_MASK];
buffer[(i+kernel_width) & STBTT__OVER_MASK] = pixels[i*stride_in_bytes];
pixels[i*stride_in_bytes] = (unsigned char) (total / 4);
}
break;
case 5:
for (i=0; i <= safe_h; ++i) {
total += pixels[i*stride_in_bytes] - buffer[i & STBTT__OVER_MASK];
buffer[(i+kernel_width) & STBTT__OVER_MASK] = pixels[i*stride_in_bytes];
pixels[i*stride_in_bytes] = (unsigned char) (total / 5);
}
break;
default:
for (i=0; i <= safe_h; ++i) {
total += pixels[i*stride_in_bytes] - buffer[i & STBTT__OVER_MASK];
buffer[(i+kernel_width) & STBTT__OVER_MASK] = pixels[i*stride_in_bytes];
pixels[i*stride_in_bytes] = (unsigned char) (total / kernel_width);
}
break;
}
for (; i < h; ++i) {
STBTT_assert(pixels[i*stride_in_bytes] == 0);
total -= buffer[i & STBTT__OVER_MASK];
pixels[i*stride_in_bytes] = (unsigned char) (total / kernel_width);
}
pixels += 1;
}
}
static float stbtt__oversample_shift(int oversample)
{
if (!oversample)
return 0.0f;
// The prefilter is a box filter of width "oversample",
// which shifts phase by (oversample - 1)/2 pixels in
// oversampled space. We want to shift in the opposite
// direction to counter this.
return (float)-(oversample - 1) / (2.0f * (float)oversample);
}
// rects array must be big enough to accommodate all characters in the given ranges
STBTT_DEF int stbtt_PackFontRangesGatherRects(stbtt_pack_context *spc, const stbtt_fontinfo *info, stbtt_pack_range *ranges, int num_ranges, stbrp_rect *rects)
{
int i,j,k;
int missing_glyph_added = 0;
k=0;
for (i=0; i < num_ranges; ++i) {
float fh = ranges[i].font_size;
float scale = fh > 0 ? stbtt_ScaleForPixelHeight(info, fh) : stbtt_ScaleForMappingEmToPixels(info, -fh);
ranges[i].h_oversample = (unsigned char) spc->h_oversample;
ranges[i].v_oversample = (unsigned char) spc->v_oversample;
for (j=0; j < ranges[i].num_chars; ++j) {
int x0,y0,x1,y1;
int codepoint = ranges[i].array_of_unicode_codepoints == NULL ? ranges[i].first_unicode_codepoint_in_range + j : ranges[i].array_of_unicode_codepoints[j];
int glyph = stbtt_FindGlyphIndex(info, codepoint);
if (glyph == 0 && (spc->skip_missing || missing_glyph_added)) {
rects[k].w = rects[k].h = 0;
} else {
stbtt_GetGlyphBitmapBoxSubpixel(info,glyph,
scale * spc->h_oversample,
scale * spc->v_oversample,
0,0,
&x0,&y0,&x1,&y1);
rects[k].w = (stbrp_coord) (x1-x0 + spc->padding + spc->h_oversample-1);
rects[k].h = (stbrp_coord) (y1-y0 + spc->padding + spc->v_oversample-1);
if (glyph == 0)
missing_glyph_added = 1;
}
++k;
}
}
return k;
}
STBTT_DEF void stbtt_MakeGlyphBitmapSubpixelPrefilter(const stbtt_fontinfo *info, unsigned char *output, int out_w, int out_h, int out_stride, float scale_x, float scale_y, float shift_x, float shift_y, int prefilter_x, int prefilter_y, float *sub_x, float *sub_y, int glyph)
{
stbtt_MakeGlyphBitmapSubpixel(info,
output,
out_w - (prefilter_x - 1),
out_h - (prefilter_y - 1),
out_stride,
scale_x,
scale_y,
shift_x,
shift_y,
glyph);
if (prefilter_x > 1)
stbtt__h_prefilter(output, out_w, out_h, out_stride, prefilter_x);
if (prefilter_y > 1)
stbtt__v_prefilter(output, out_w, out_h, out_stride, prefilter_y);
*sub_x = stbtt__oversample_shift(prefilter_x);
*sub_y = stbtt__oversample_shift(prefilter_y);
}
// rects array must be big enough to accommodate all characters in the given ranges
STBTT_DEF int stbtt_PackFontRangesRenderIntoRects(stbtt_pack_context *spc, const stbtt_fontinfo *info, stbtt_pack_range *ranges, int num_ranges, stbrp_rect *rects)
{
int i,j,k, missing_glyph = -1, return_value = 1;
// save current values
int old_h_over = spc->h_oversample;
int old_v_over = spc->v_oversample;
k = 0;
for (i=0; i < num_ranges; ++i) {
float fh = ranges[i].font_size;
float scale = fh > 0 ? stbtt_ScaleForPixelHeight(info, fh) : stbtt_ScaleForMappingEmToPixels(info, -fh);
float recip_h,recip_v,sub_x,sub_y;
spc->h_oversample = ranges[i].h_oversample;
spc->v_oversample = ranges[i].v_oversample;
recip_h = 1.0f / spc->h_oversample;
recip_v = 1.0f / spc->v_oversample;
sub_x = stbtt__oversample_shift(spc->h_oversample);
sub_y = stbtt__oversample_shift(spc->v_oversample);
for (j=0; j < ranges[i].num_chars; ++j) {
stbrp_rect *r = &rects[k];
if (r->was_packed && r->w != 0 && r->h != 0) {
stbtt_packedchar *bc = &ranges[i].chardata_for_range[j];
int advance, lsb, x0,y0,x1,y1;
int codepoint = ranges[i].array_of_unicode_codepoints == NULL ? ranges[i].first_unicode_codepoint_in_range + j : ranges[i].array_of_unicode_codepoints[j];
int glyph = stbtt_FindGlyphIndex(info, codepoint);
stbrp_coord pad = (stbrp_coord) spc->padding;
// pad on left and top
r->x += pad;
r->y += pad;
r->w -= pad;
r->h -= pad;
stbtt_GetGlyphHMetrics(info, glyph, &advance, &lsb);
stbtt_GetGlyphBitmapBox(info, glyph,
scale * spc->h_oversample,
scale * spc->v_oversample,
&x0,&y0,&x1,&y1);
stbtt_MakeGlyphBitmapSubpixel(info,
spc->pixels + r->x + r->y*spc->stride_in_bytes,
r->w - spc->h_oversample+1,
r->h - spc->v_oversample+1,
spc->stride_in_bytes,
scale * spc->h_oversample,
scale * spc->v_oversample,
0,0,
glyph);
if (spc->h_oversample > 1)
stbtt__h_prefilter(spc->pixels + r->x + r->y*spc->stride_in_bytes,
r->w, r->h, spc->stride_in_bytes,
spc->h_oversample);
if (spc->v_oversample > 1)
stbtt__v_prefilter(spc->pixels + r->x + r->y*spc->stride_in_bytes,
r->w, r->h, spc->stride_in_bytes,
spc->v_oversample);
bc->x0 = (stbtt_int16) r->x;
bc->y0 = (stbtt_int16) r->y;
bc->x1 = (stbtt_int16) (r->x + r->w);
bc->y1 = (stbtt_int16) (r->y + r->h);
bc->xadvance = scale * advance;
bc->xoff = (float) x0 * recip_h + sub_x;
bc->yoff = (float) y0 * recip_v + sub_y;
bc->xoff2 = (x0 + r->w) * recip_h + sub_x;
bc->yoff2 = (y0 + r->h) * recip_v + sub_y;
if (glyph == 0)
missing_glyph = j;
} else if (spc->skip_missing) {
return_value = 0;
} else if (r->was_packed && r->w == 0 && r->h == 0 && missing_glyph >= 0) {
ranges[i].chardata_for_range[j] = ranges[i].chardata_for_range[missing_glyph];
} else {
return_value = 0; // if any fail, report failure
}
++k;
}
}
// restore original values
spc->h_oversample = old_h_over;
spc->v_oversample = old_v_over;
return return_value;
}
STBTT_DEF void stbtt_PackFontRangesPackRects(stbtt_pack_context *spc, stbrp_rect *rects, int num_rects)
{
stbrp_pack_rects((stbrp_context *) spc->pack_info, rects, num_rects);
}
STBTT_DEF int stbtt_PackFontRanges(stbtt_pack_context *spc, const unsigned char *fontdata, int font_index, stbtt_pack_range *ranges, int num_ranges)
{
stbtt_fontinfo info;
int i, j, n, return_value; // [DEAR IMGUI] removed = 1;
//stbrp_context *context = (stbrp_context *) spc->pack_info;
stbrp_rect *rects;
// flag all characters as NOT packed
for (i=0; i < num_ranges; ++i)
for (j=0; j < ranges[i].num_chars; ++j)
ranges[i].chardata_for_range[j].x0 =
ranges[i].chardata_for_range[j].y0 =
ranges[i].chardata_for_range[j].x1 =
ranges[i].chardata_for_range[j].y1 = 0;
n = 0;
for (i=0; i < num_ranges; ++i)
n += ranges[i].num_chars;
rects = (stbrp_rect *) STBTT_malloc(sizeof(*rects) * n, spc->user_allocator_context);
if (rects == NULL)
return 0;
info.userdata = spc->user_allocator_context;
stbtt_InitFont(&info, fontdata, stbtt_GetFontOffsetForIndex(fontdata,font_index));
n = stbtt_PackFontRangesGatherRects(spc, &info, ranges, num_ranges, rects);
stbtt_PackFontRangesPackRects(spc, rects, n);
return_value = stbtt_PackFontRangesRenderIntoRects(spc, &info, ranges, num_ranges, rects);
STBTT_free(rects, spc->user_allocator_context);
return return_value;
}
STBTT_DEF int stbtt_PackFontRange(stbtt_pack_context *spc, const unsigned char *fontdata, int font_index, float font_size,
int first_unicode_codepoint_in_range, int num_chars_in_range, stbtt_packedchar *chardata_for_range)
{
stbtt_pack_range range;
range.first_unicode_codepoint_in_range = first_unicode_codepoint_in_range;
range.array_of_unicode_codepoints = NULL;
range.num_chars = num_chars_in_range;
range.chardata_for_range = chardata_for_range;
range.font_size = font_size;
return stbtt_PackFontRanges(spc, fontdata, font_index, &range, 1);
}
STBTT_DEF void stbtt_GetScaledFontVMetrics(const unsigned char *fontdata, int index, float size, float *ascent, float *descent, float *lineGap)
{
int i_ascent, i_descent, i_lineGap;
float scale;
stbtt_fontinfo info;
stbtt_InitFont(&info, fontdata, stbtt_GetFontOffsetForIndex(fontdata, index));
scale = size > 0 ? stbtt_ScaleForPixelHeight(&info, size) : stbtt_ScaleForMappingEmToPixels(&info, -size);
stbtt_GetFontVMetrics(&info, &i_ascent, &i_descent, &i_lineGap);
*ascent = (float) i_ascent * scale;
*descent = (float) i_descent * scale;
*lineGap = (float) i_lineGap * scale;
}
STBTT_DEF void stbtt_GetPackedQuad(const stbtt_packedchar *chardata, int pw, int ph, int char_index, float *xpos, float *ypos, stbtt_aligned_quad *q, int align_to_integer)
{
float ipw = 1.0f / pw, iph = 1.0f / ph;
const stbtt_packedchar *b = chardata + char_index;
if (align_to_integer) {
float x = (float) STBTT_ifloor((*xpos + b->xoff) + 0.5f);
float y = (float) STBTT_ifloor((*ypos + b->yoff) + 0.5f);
q->x0 = x;
q->y0 = y;
q->x1 = x + b->xoff2 - b->xoff;
q->y1 = y + b->yoff2 - b->yoff;
} else {
q->x0 = *xpos + b->xoff;
q->y0 = *ypos + b->yoff;
q->x1 = *xpos + b->xoff2;
q->y1 = *ypos + b->yoff2;
}
q->s0 = b->x0 * ipw;
q->t0 = b->y0 * iph;
q->s1 = b->x1 * ipw;
q->t1 = b->y1 * iph;
*xpos += b->xadvance;
}
//////////////////////////////////////////////////////////////////////////////
//
// sdf computation
//
#define STBTT_min(a,b) ((a) < (b) ? (a) : (b))
#define STBTT_max(a,b) ((a) < (b) ? (b) : (a))
static int stbtt__ray_intersect_bezier(float orig[2], float ray[2], float q0[2], float q1[2], float q2[2], float hits[2][2])
{
float q0perp = q0[1]*ray[0] - q0[0]*ray[1];
float q1perp = q1[1]*ray[0] - q1[0]*ray[1];
float q2perp = q2[1]*ray[0] - q2[0]*ray[1];
float roperp = orig[1]*ray[0] - orig[0]*ray[1];
float a = q0perp - 2*q1perp + q2perp;
float b = q1perp - q0perp;
float c = q0perp - roperp;
float s0 = 0., s1 = 0.;
int num_s = 0;
if (a != 0.0) {
float discr = b*b - a*c;
if (discr > 0.0) {
float rcpna = -1 / a;
float d = (float) STBTT_sqrt(discr);
s0 = (b+d) * rcpna;
s1 = (b-d) * rcpna;
if (s0 >= 0.0 && s0 <= 1.0)
num_s = 1;
if (d > 0.0 && s1 >= 0.0 && s1 <= 1.0) {
if (num_s == 0) s0 = s1;
++num_s;
}
}
} else {
// 2*b*s + c = 0
// s = -c / (2*b)
s0 = c / (-2 * b);
if (s0 >= 0.0 && s0 <= 1.0)
num_s = 1;
}
if (num_s == 0)
return 0;
else {
float rcp_len2 = 1 / (ray[0]*ray[0] + ray[1]*ray[1]);
float rayn_x = ray[0] * rcp_len2, rayn_y = ray[1] * rcp_len2;
float q0d = q0[0]*rayn_x + q0[1]*rayn_y;
float q1d = q1[0]*rayn_x + q1[1]*rayn_y;
float q2d = q2[0]*rayn_x + q2[1]*rayn_y;
float rod = orig[0]*rayn_x + orig[1]*rayn_y;
float q10d = q1d - q0d;
float q20d = q2d - q0d;
float q0rd = q0d - rod;
hits[0][0] = q0rd + s0*(2.0f - 2.0f*s0)*q10d + s0*s0*q20d;
hits[0][1] = a*s0+b;
if (num_s > 1) {
hits[1][0] = q0rd + s1*(2.0f - 2.0f*s1)*q10d + s1*s1*q20d;
hits[1][1] = a*s1+b;
return 2;
} else {
return 1;
}
}
}
static int equal(float *a, float *b)
{
return (a[0] == b[0] && a[1] == b[1]);
}
static int stbtt__compute_crossings_x(float x, float y, int nverts, stbtt_vertex *verts)
{
int i;
float orig[2], ray[2] = { 1, 0 };
float y_frac;
int winding = 0;
// make sure y never passes through a vertex of the shape
y_frac = (float) STBTT_fmod(y, 1.0f);
if (y_frac < 0.01f)
y += 0.01f;
else if (y_frac > 0.99f)
y -= 0.01f;
orig[0] = x;
orig[1] = y;
// test a ray from (-infinity,y) to (x,y)
for (i=0; i < nverts; ++i) {
if (verts[i].type == STBTT_vline) {
int x0 = (int) verts[i-1].x, y0 = (int) verts[i-1].y;
int x1 = (int) verts[i ].x, y1 = (int) verts[i ].y;
if (y > STBTT_min(y0,y1) && y < STBTT_max(y0,y1) && x > STBTT_min(x0,x1)) {
float x_inter = (y - y0) / (y1 - y0) * (x1-x0) + x0;
if (x_inter < x)
winding += (y0 < y1) ? 1 : -1;
}
}
if (verts[i].type == STBTT_vcurve) {
int x0 = (int) verts[i-1].x , y0 = (int) verts[i-1].y ;
int x1 = (int) verts[i ].cx, y1 = (int) verts[i ].cy;
int x2 = (int) verts[i ].x , y2 = (int) verts[i ].y ;
int ax = STBTT_min(x0,STBTT_min(x1,x2)), ay = STBTT_min(y0,STBTT_min(y1,y2));
int by = STBTT_max(y0,STBTT_max(y1,y2));
if (y > ay && y < by && x > ax) {
float q0[2],q1[2],q2[2];
float hits[2][2];
q0[0] = (float)x0;
q0[1] = (float)y0;
q1[0] = (float)x1;
q1[1] = (float)y1;
q2[0] = (float)x2;
q2[1] = (float)y2;
if (equal(q0,q1) || equal(q1,q2)) {
x0 = (int)verts[i-1].x;
y0 = (int)verts[i-1].y;
x1 = (int)verts[i ].x;
y1 = (int)verts[i ].y;
if (y > STBTT_min(y0,y1) && y < STBTT_max(y0,y1) && x > STBTT_min(x0,x1)) {
float x_inter = (y - y0) / (y1 - y0) * (x1-x0) + x0;
if (x_inter < x)
winding += (y0 < y1) ? 1 : -1;
}
} else {
int num_hits = stbtt__ray_intersect_bezier(orig, ray, q0, q1, q2, hits);
if (num_hits >= 1)
if (hits[0][0] < 0)
winding += (hits[0][1] < 0 ? -1 : 1);
if (num_hits >= 2)
if (hits[1][0] < 0)
winding += (hits[1][1] < 0 ? -1 : 1);
}
}
}
}
return winding;
}
static float stbtt__cuberoot( float x )
{
if (x<0)
return -(float) STBTT_pow(-x,1.0f/3.0f);
else
return (float) STBTT_pow( x,1.0f/3.0f);
}
// x^3 + a*x^2 + b*x + c = 0
static int stbtt__solve_cubic(float a, float b, float c, float* r)
{
float s = -a / 3;
float p = b - a*a / 3;
float q = a * (2*a*a - 9*b) / 27 + c;
float p3 = p*p*p;
float d = q*q + 4*p3 / 27;
if (d >= 0) {
float z = (float) STBTT_sqrt(d);
float u = (-q + z) / 2;
float v = (-q - z) / 2;
u = stbtt__cuberoot(u);
v = stbtt__cuberoot(v);
r[0] = s + u + v;
return 1;
} else {
float u = (float) STBTT_sqrt(-p/3);
float v = (float) STBTT_acos(-STBTT_sqrt(-27/p3) * q / 2) / 3; // p3 must be negative, since d is negative
float m = (float) STBTT_cos(v);
float n = (float) STBTT_cos(v-3.141592/2)*1.732050808f;
r[0] = s + u * 2 * m;
r[1] = s - u * (m + n);
r[2] = s - u * (m - n);
//STBTT_assert( STBTT_fabs(((r[0]+a)*r[0]+b)*r[0]+c) < 0.05f); // these asserts may not be safe at all scales, though they're in bezier t parameter units so maybe?
//STBTT_assert( STBTT_fabs(((r[1]+a)*r[1]+b)*r[1]+c) < 0.05f);
//STBTT_assert( STBTT_fabs(((r[2]+a)*r[2]+b)*r[2]+c) < 0.05f);
return 3;
}
}
STBTT_DEF unsigned char * stbtt_GetGlyphSDF(const stbtt_fontinfo *info, float scale, int glyph, int padding, unsigned char onedge_value, float pixel_dist_scale, int *width, int *height, int *xoff, int *yoff)
{
float scale_x = scale, scale_y = scale;
int ix0,iy0,ix1,iy1;
int w,h;
unsigned char *data;
if (scale == 0) return NULL;
stbtt_GetGlyphBitmapBoxSubpixel(info, glyph, scale, scale, 0.0f,0.0f, &ix0,&iy0,&ix1,&iy1);
// if empty, return NULL
if (ix0 == ix1 || iy0 == iy1)
return NULL;
ix0 -= padding;
iy0 -= padding;
ix1 += padding;
iy1 += padding;
w = (ix1 - ix0);
h = (iy1 - iy0);
if (width ) *width = w;
if (height) *height = h;
if (xoff ) *xoff = ix0;
if (yoff ) *yoff = iy0;
// invert for y-downwards bitmaps
scale_y = -scale_y;
{
int x,y,i,j;
float *precompute;
stbtt_vertex *verts;
int num_verts = stbtt_GetGlyphShape(info, glyph, &verts);
data = (unsigned char *) STBTT_malloc(w * h, info->userdata);
precompute = (float *) STBTT_malloc(num_verts * sizeof(float), info->userdata);
for (i=0,j=num_verts-1; i < num_verts; j=i++) {
if (verts[i].type == STBTT_vline) {
float x0 = verts[i].x*scale_x, y0 = verts[i].y*scale_y;
float x1 = verts[j].x*scale_x, y1 = verts[j].y*scale_y;
float dist = (float) STBTT_sqrt((x1-x0)*(x1-x0) + (y1-y0)*(y1-y0));
precompute[i] = (dist == 0) ? 0.0f : 1.0f / dist;
} else if (verts[i].type == STBTT_vcurve) {
float x2 = verts[j].x *scale_x, y2 = verts[j].y *scale_y;
float x1 = verts[i].cx*scale_x, y1 = verts[i].cy*scale_y;
float x0 = verts[i].x *scale_x, y0 = verts[i].y *scale_y;
float bx = x0 - 2*x1 + x2, by = y0 - 2*y1 + y2;
float len2 = bx*bx + by*by;
if (len2 != 0.0f)
precompute[i] = 1.0f / (bx*bx + by*by);
else
precompute[i] = 0.0f;
} else
precompute[i] = 0.0f;
}
for (y=iy0; y < iy1; ++y) {
for (x=ix0; x < ix1; ++x) {
float val;
float min_dist = 999999.0f;
float sx = (float) x + 0.5f;
float sy = (float) y + 0.5f;
float x_gspace = (sx / scale_x);
float y_gspace = (sy / scale_y);
int winding = stbtt__compute_crossings_x(x_gspace, y_gspace, num_verts, verts); // @OPTIMIZE: this could just be a rasterization, but needs to be line vs. non-tesselated curves so a new path
for (i=0; i < num_verts; ++i) {
float x0 = verts[i].x*scale_x, y0 = verts[i].y*scale_y;
if (verts[i].type == STBTT_vline && precompute[i] != 0.0f) {
float x1 = verts[i-1].x*scale_x, y1 = verts[i-1].y*scale_y;
float dist,dist2 = (x0-sx)*(x0-sx) + (y0-sy)*(y0-sy);
if (dist2 < min_dist*min_dist)
min_dist = (float) STBTT_sqrt(dist2);
// coarse culling against bbox
//if (sx > STBTT_min(x0,x1)-min_dist && sx < STBTT_max(x0,x1)+min_dist &&
// sy > STBTT_min(y0,y1)-min_dist && sy < STBTT_max(y0,y1)+min_dist)
dist = (float) STBTT_fabs((x1-x0)*(y0-sy) - (y1-y0)*(x0-sx)) * precompute[i];
STBTT_assert(i != 0);
if (dist < min_dist) {
// check position along line
// x' = x0 + t*(x1-x0), y' = y0 + t*(y1-y0)
// minimize (x'-sx)*(x'-sx)+(y'-sy)*(y'-sy)
float dx = x1-x0, dy = y1-y0;
float px = x0-sx, py = y0-sy;
// minimize (px+t*dx)^2 + (py+t*dy)^2 = px*px + 2*px*dx*t + t^2*dx*dx + py*py + 2*py*dy*t + t^2*dy*dy
// derivative: 2*px*dx + 2*py*dy + (2*dx*dx+2*dy*dy)*t, set to 0 and solve
float t = -(px*dx + py*dy) / (dx*dx + dy*dy);
if (t >= 0.0f && t <= 1.0f)
min_dist = dist;
}
} else if (verts[i].type == STBTT_vcurve) {
float x2 = verts[i-1].x *scale_x, y2 = verts[i-1].y *scale_y;
float x1 = verts[i ].cx*scale_x, y1 = verts[i ].cy*scale_y;
float box_x0 = STBTT_min(STBTT_min(x0,x1),x2);
float box_y0 = STBTT_min(STBTT_min(y0,y1),y2);
float box_x1 = STBTT_max(STBTT_max(x0,x1),x2);
float box_y1 = STBTT_max(STBTT_max(y0,y1),y2);
// coarse culling against bbox to avoid computing cubic unnecessarily
if (sx > box_x0-min_dist && sx < box_x1+min_dist && sy > box_y0-min_dist && sy < box_y1+min_dist) {
int num=0;
float ax = x1-x0, ay = y1-y0;
float bx = x0 - 2*x1 + x2, by = y0 - 2*y1 + y2;
float mx = x0 - sx, my = y0 - sy;
float res[3] = {0.f,0.f,0.f};
float px,py,t,it,dist2;
float a_inv = precompute[i];
if (a_inv == 0.0) { // if a_inv is 0, it's 2nd degree so use quadratic formula
float a = 3*(ax*bx + ay*by);
float b = 2*(ax*ax + ay*ay) + (mx*bx+my*by);
float c = mx*ax+my*ay;
if (a == 0.0) { // if a is 0, it's linear
if (b != 0.0) {
res[num++] = -c/b;
}
} else {
float discriminant = b*b - 4*a*c;
if (discriminant < 0)
num = 0;
else {
float root = (float) STBTT_sqrt(discriminant);
res[0] = (-b - root)/(2*a);
res[1] = (-b + root)/(2*a);
num = 2; // don't bother distinguishing 1-solution case, as code below will still work
}
}
} else {
float b = 3*(ax*bx + ay*by) * a_inv; // could precompute this as it doesn't depend on sample point
float c = (2*(ax*ax + ay*ay) + (mx*bx+my*by)) * a_inv;
float d = (mx*ax+my*ay) * a_inv;
num = stbtt__solve_cubic(b, c, d, res);
}
dist2 = (x0-sx)*(x0-sx) + (y0-sy)*(y0-sy);
if (dist2 < min_dist*min_dist)
min_dist = (float) STBTT_sqrt(dist2);
if (num >= 1 && res[0] >= 0.0f && res[0] <= 1.0f) {
t = res[0], it = 1.0f - t;
px = it*it*x0 + 2*t*it*x1 + t*t*x2;
py = it*it*y0 + 2*t*it*y1 + t*t*y2;
dist2 = (px-sx)*(px-sx) + (py-sy)*(py-sy);
if (dist2 < min_dist * min_dist)
min_dist = (float) STBTT_sqrt(dist2);
}
if (num >= 2 && res[1] >= 0.0f && res[1] <= 1.0f) {
t = res[1], it = 1.0f - t;
px = it*it*x0 + 2*t*it*x1 + t*t*x2;
py = it*it*y0 + 2*t*it*y1 + t*t*y2;
dist2 = (px-sx)*(px-sx) + (py-sy)*(py-sy);
if (dist2 < min_dist * min_dist)
min_dist = (float) STBTT_sqrt(dist2);
}
if (num >= 3 && res[2] >= 0.0f && res[2] <= 1.0f) {
t = res[2], it = 1.0f - t;
px = it*it*x0 + 2*t*it*x1 + t*t*x2;
py = it*it*y0 + 2*t*it*y1 + t*t*y2;
dist2 = (px-sx)*(px-sx) + (py-sy)*(py-sy);
if (dist2 < min_dist * min_dist)
min_dist = (float) STBTT_sqrt(dist2);
}
}
}
}
if (winding == 0)
min_dist = -min_dist; // if outside the shape, value is negative
val = onedge_value + pixel_dist_scale * min_dist;
if (val < 0)
val = 0;
else if (val > 255)
val = 255;
data[(y-iy0)*w+(x-ix0)] = (unsigned char) val;
}
}
STBTT_free(precompute, info->userdata);
STBTT_free(verts, info->userdata);
}
return data;
}
STBTT_DEF unsigned char * stbtt_GetCodepointSDF(const stbtt_fontinfo *info, float scale, int codepoint, int padding, unsigned char onedge_value, float pixel_dist_scale, int *width, int *height, int *xoff, int *yoff)
{
return stbtt_GetGlyphSDF(info, scale, stbtt_FindGlyphIndex(info, codepoint), padding, onedge_value, pixel_dist_scale, width, height, xoff, yoff);
}
STBTT_DEF void stbtt_FreeSDF(unsigned char *bitmap, void *userdata)
{
STBTT_free(bitmap, userdata);
}
//////////////////////////////////////////////////////////////////////////////
//
// font name matching -- recommended not to use this
//
// check if a utf8 string contains a prefix which is the utf16 string; if so return length of matching utf8 string
static stbtt_int32 stbtt__CompareUTF8toUTF16_bigendian_prefix(stbtt_uint8 *s1, stbtt_int32 len1, stbtt_uint8 *s2, stbtt_int32 len2)
{
stbtt_int32 i=0;
// convert utf16 to utf8 and compare the results while converting
while (len2) {
stbtt_uint16 ch = s2[0]*256 + s2[1];
if (ch < 0x80) {
if (i >= len1) return -1;
if (s1[i++] != ch) return -1;
} else if (ch < 0x800) {
if (i+1 >= len1) return -1;
if (s1[i++] != 0xc0 + (ch >> 6)) return -1;
if (s1[i++] != 0x80 + (ch & 0x3f)) return -1;
} else if (ch >= 0xd800 && ch < 0xdc00) {
stbtt_uint32 c;
stbtt_uint16 ch2 = s2[2]*256 + s2[3];
if (i+3 >= len1) return -1;
c = ((ch - 0xd800) << 10) + (ch2 - 0xdc00) + 0x10000;
if (s1[i++] != 0xf0 + (c >> 18)) return -1;
if (s1[i++] != 0x80 + ((c >> 12) & 0x3f)) return -1;
if (s1[i++] != 0x80 + ((c >> 6) & 0x3f)) return -1;
if (s1[i++] != 0x80 + ((c ) & 0x3f)) return -1;
s2 += 2; // plus another 2 below
len2 -= 2;
} else if (ch >= 0xdc00 && ch < 0xe000) {
return -1;
} else {
if (i+2 >= len1) return -1;
if (s1[i++] != 0xe0 + (ch >> 12)) return -1;
if (s1[i++] != 0x80 + ((ch >> 6) & 0x3f)) return -1;
if (s1[i++] != 0x80 + ((ch ) & 0x3f)) return -1;
}
s2 += 2;
len2 -= 2;
}
return i;
}
static int stbtt_CompareUTF8toUTF16_bigendian_internal(char *s1, int len1, char *s2, int len2)
{
return len1 == stbtt__CompareUTF8toUTF16_bigendian_prefix((stbtt_uint8*) s1, len1, (stbtt_uint8*) s2, len2);
}
// returns results in whatever encoding you request... but note that 2-byte encodings
// will be BIG-ENDIAN... use stbtt_CompareUTF8toUTF16_bigendian() to compare
STBTT_DEF const char *stbtt_GetFontNameString(const stbtt_fontinfo *font, int *length, int platformID, int encodingID, int languageID, int nameID)
{
stbtt_int32 i,count,stringOffset;
stbtt_uint8 *fc = font->data;
stbtt_uint32 offset = font->fontstart;
stbtt_uint32 nm = stbtt__find_table(fc, offset, "name");
if (!nm) return NULL;
count = ttUSHORT(fc+nm+2);
stringOffset = nm + ttUSHORT(fc+nm+4);
for (i=0; i < count; ++i) {
stbtt_uint32 loc = nm + 6 + 12 * i;
if (platformID == ttUSHORT(fc+loc+0) && encodingID == ttUSHORT(fc+loc+2)
&& languageID == ttUSHORT(fc+loc+4) && nameID == ttUSHORT(fc+loc+6)) {
*length = ttUSHORT(fc+loc+8);
return (const char *) (fc+stringOffset+ttUSHORT(fc+loc+10));
}
}
return NULL;
}
static int stbtt__matchpair(stbtt_uint8 *fc, stbtt_uint32 nm, stbtt_uint8 *name, stbtt_int32 nlen, stbtt_int32 target_id, stbtt_int32 next_id)
{
stbtt_int32 i;
stbtt_int32 count = ttUSHORT(fc+nm+2);
stbtt_int32 stringOffset = nm + ttUSHORT(fc+nm+4);
for (i=0; i < count; ++i) {
stbtt_uint32 loc = nm + 6 + 12 * i;
stbtt_int32 id = ttUSHORT(fc+loc+6);
if (id == target_id) {
// find the encoding
stbtt_int32 platform = ttUSHORT(fc+loc+0), encoding = ttUSHORT(fc+loc+2), language = ttUSHORT(fc+loc+4);
// is this a Unicode encoding?
if (platform == 0 || (platform == 3 && encoding == 1) || (platform == 3 && encoding == 10)) {
stbtt_int32 slen = ttUSHORT(fc+loc+8);
stbtt_int32 off = ttUSHORT(fc+loc+10);
// check if there's a prefix match
stbtt_int32 matchlen = stbtt__CompareUTF8toUTF16_bigendian_prefix(name, nlen, fc+stringOffset+off,slen);
if (matchlen >= 0) {
// check for target_id+1 immediately following, with same encoding & language
if (i+1 < count && ttUSHORT(fc+loc+12+6) == next_id && ttUSHORT(fc+loc+12) == platform && ttUSHORT(fc+loc+12+2) == encoding && ttUSHORT(fc+loc+12+4) == language) {
slen = ttUSHORT(fc+loc+12+8);
off = ttUSHORT(fc+loc+12+10);
if (slen == 0) {
if (matchlen == nlen)
return 1;
} else if (matchlen < nlen && name[matchlen] == ' ') {
++matchlen;
if (stbtt_CompareUTF8toUTF16_bigendian_internal((char*) (name+matchlen), nlen-matchlen, (char*)(fc+stringOffset+off),slen))
return 1;
}
} else {
// if nothing immediately following
if (matchlen == nlen)
return 1;
}
}
}
// @TODO handle other encodings
}
}
return 0;
}
static int stbtt__matches(stbtt_uint8 *fc, stbtt_uint32 offset, stbtt_uint8 *name, stbtt_int32 flags)
{
stbtt_int32 nlen = (stbtt_int32) STBTT_strlen((char *) name);
stbtt_uint32 nm,hd;
if (!stbtt__isfont(fc+offset)) return 0;
// check italics/bold/underline flags in macStyle...
if (flags) {
hd = stbtt__find_table(fc, offset, "head");
if ((ttUSHORT(fc+hd+44) & 7) != (flags & 7)) return 0;
}
nm = stbtt__find_table(fc, offset, "name");
if (!nm) return 0;
if (flags) {
// if we checked the macStyle flags, then just check the family and ignore the subfamily
if (stbtt__matchpair(fc, nm, name, nlen, 16, -1)) return 1;
if (stbtt__matchpair(fc, nm, name, nlen, 1, -1)) return 1;
if (stbtt__matchpair(fc, nm, name, nlen, 3, -1)) return 1;
} else {
if (stbtt__matchpair(fc, nm, name, nlen, 16, 17)) return 1;
if (stbtt__matchpair(fc, nm, name, nlen, 1, 2)) return 1;
if (stbtt__matchpair(fc, nm, name, nlen, 3, -1)) return 1;
}
return 0;
}
static int stbtt_FindMatchingFont_internal(unsigned char *font_collection, char *name_utf8, stbtt_int32 flags)
{
stbtt_int32 i;
for (i=0;;++i) {
stbtt_int32 off = stbtt_GetFontOffsetForIndex(font_collection, i);
if (off < 0) return off;
if (stbtt__matches((stbtt_uint8 *) font_collection, off, (stbtt_uint8*) name_utf8, flags))
return off;
}
}
#if defined(__GNUC__) || defined(__clang__)
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wcast-qual"
#endif
STBTT_DEF int stbtt_BakeFontBitmap(const unsigned char *data, int offset,
float pixel_height, unsigned char *pixels, int pw, int ph,
int first_char, int num_chars, stbtt_bakedchar *chardata)
{
return stbtt_BakeFontBitmap_internal((unsigned char *) data, offset, pixel_height, pixels, pw, ph, first_char, num_chars, chardata);
}
STBTT_DEF int stbtt_GetFontOffsetForIndex(const unsigned char *data, int index)
{
return stbtt_GetFontOffsetForIndex_internal((unsigned char *) data, index);
}
STBTT_DEF int stbtt_GetNumberOfFonts(const unsigned char *data)
{
return stbtt_GetNumberOfFonts_internal((unsigned char *) data);
}
STBTT_DEF int stbtt_InitFont(stbtt_fontinfo *info, const unsigned char *data, int offset)
{
return stbtt_InitFont_internal(info, (unsigned char *) data, offset);
}
STBTT_DEF int stbtt_FindMatchingFont(const unsigned char *fontdata, const char *name, int flags)
{
return stbtt_FindMatchingFont_internal((unsigned char *) fontdata, (char *) name, flags);
}
STBTT_DEF int stbtt_CompareUTF8toUTF16_bigendian(const char *s1, int len1, const char *s2, int len2)
{
return stbtt_CompareUTF8toUTF16_bigendian_internal((char *) s1, len1, (char *) s2, len2);
}
#if defined(__GNUC__) || defined(__clang__)
#pragma GCC diagnostic pop
#endif
#endif // STB_TRUETYPE_IMPLEMENTATION
// FULL VERSION HISTORY
//
// 1.25 (2021-07-11) many fixes
// 1.24 (2020-02-05) fix warning
// 1.23 (2020-02-02) query SVG data for glyphs; query whole kerning table (but only kern not GPOS)
// 1.22 (2019-08-11) minimize missing-glyph duplication; fix kerning if both 'GPOS' and 'kern' are defined
// 1.21 (2019-02-25) fix warning
// 1.20 (2019-02-07) PackFontRange skips missing codepoints; GetScaleFontVMetrics()
// 1.19 (2018-02-11) OpenType GPOS kerning (horizontal only), STBTT_fmod
// 1.18 (2018-01-29) add missing function
// 1.17 (2017-07-23) make more arguments const; doc fix
// 1.16 (2017-07-12) SDF support
// 1.15 (2017-03-03) make more arguments const
// 1.14 (2017-01-16) num-fonts-in-TTC function
// 1.13 (2017-01-02) support OpenType fonts, certain Apple fonts
// 1.12 (2016-10-25) suppress warnings about casting away const with -Wcast-qual
// 1.11 (2016-04-02) fix unused-variable warning
// 1.10 (2016-04-02) allow user-defined fabs() replacement
// fix memory leak if fontsize=0.0
// fix warning from duplicate typedef
// 1.09 (2016-01-16) warning fix; avoid crash on outofmem; use alloc userdata for PackFontRanges
// 1.08 (2015-09-13) document stbtt_Rasterize(); fixes for vertical & horizontal edges
// 1.07 (2015-08-01) allow PackFontRanges to accept arrays of sparse codepoints;
// allow PackFontRanges to pack and render in separate phases;
// fix stbtt_GetFontOFfsetForIndex (never worked for non-0 input?);
// fixed an assert() bug in the new rasterizer
// replace assert() with STBTT_assert() in new rasterizer
// 1.06 (2015-07-14) performance improvements (~35% faster on x86 and x64 on test machine)
// also more precise AA rasterizer, except if shapes overlap
// remove need for STBTT_sort
// 1.05 (2015-04-15) fix misplaced definitions for STBTT_STATIC
// 1.04 (2015-04-15) typo in example
// 1.03 (2015-04-12) STBTT_STATIC, fix memory leak in new packing, various fixes
// 1.02 (2014-12-10) fix various warnings & compile issues w/ stb_rect_pack, C++
// 1.01 (2014-12-08) fix subpixel position when oversampling to exactly match
// non-oversampled; STBTT_POINT_SIZE for packed case only
// 1.00 (2014-12-06) add new PackBegin etc. API, w/ support for oversampling
// 0.99 (2014-09-18) fix multiple bugs with subpixel rendering (ryg)
// 0.9 (2014-08-07) support certain mac/iOS fonts without an MS platformID
// 0.8b (2014-07-07) fix a warning
// 0.8 (2014-05-25) fix a few more warnings
// 0.7 (2013-09-25) bugfix: subpixel glyph bug fixed in 0.5 had come back
// 0.6c (2012-07-24) improve documentation
// 0.6b (2012-07-20) fix a few more warnings
// 0.6 (2012-07-17) fix warnings; added stbtt_ScaleForMappingEmToPixels,
// stbtt_GetFontBoundingBox, stbtt_IsGlyphEmpty
// 0.5 (2011-12-09) bugfixes:
// subpixel glyph renderer computed wrong bounding box
// first vertex of shape can be off-curve (FreeSans)
// 0.4b (2011-12-03) fixed an error in the font baking example
// 0.4 (2011-12-01) kerning, subpixel rendering (tor)
// bugfixes for:
// codepoint-to-glyph conversion using table fmt=12
// codepoint-to-glyph conversion using table fmt=4
// stbtt_GetBakedQuad with non-square texture (Zer)
// updated Hello World! sample to use kerning and subpixel
// fixed some warnings
// 0.3 (2009-06-24) cmap fmt=12, compound shapes (MM)
// userdata, malloc-from-userdata, non-zero fill (stb)
// 0.2 (2009-03-11) Fix unsigned/signed char warnings
// 0.1 (2009-03-09) First public release
//
/*
------------------------------------------------------------------------------
This software is available under 2 licenses -- choose whichever you prefer.
------------------------------------------------------------------------------
ALTERNATIVE A - MIT License
Copyright (c) 2017 Sean Barrett
Permission is hereby granted, free of charge, to any person obtaining a copy of
this software and associated documentation files (the "Software"), to deal in
the Software without restriction, including without limitation the rights to
use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies
of the Software, and to permit persons to whom the Software is furnished to do
so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
------------------------------------------------------------------------------
ALTERNATIVE B - Public Domain (www.unlicense.org)
This is free and unencumbered software released into the public domain.
Anyone is free to copy, modify, publish, use, compile, sell, or distribute this
software, either in source code form or as a compiled binary, for any purpose,
commercial or non-commercial, and by any means.
In jurisdictions that recognize copyright laws, the author or authors of this
software dedicate any and all copyright interest in the software to the public
domain. We make this dedication for the benefit of the public at large and to
the detriment of our heirs and successors. We intend this dedication to be an
overt act of relinquishment in perpetuity of all present and future rights to
this software under copyright law.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
------------------------------------------------------------------------------
*/
|
0 | repos/c2z/use_cases/imgui | repos/c2z/use_cases/imgui/include/imconfig.h | //-----------------------------------------------------------------------------
// COMPILE-TIME OPTIONS FOR DEAR IMGUI
// Runtime options (clipboard callbacks, enabling various features, etc.) can generally be set via the ImGuiIO structure.
// You can use ImGui::SetAllocatorFunctions() before calling ImGui::CreateContext() to rewire memory allocation functions.
//-----------------------------------------------------------------------------
// A) You may edit imconfig.h (and not overwrite it when updating Dear ImGui, or maintain a patch/rebased branch with your modifications to it)
// B) or '#define IMGUI_USER_CONFIG "my_imgui_config.h"' in your project and then add directives in your own file without touching this template.
//-----------------------------------------------------------------------------
// You need to make sure that configuration settings are defined consistently _everywhere_ Dear ImGui is used, which include the imgui*.cpp
// files but also _any_ of your code that uses Dear ImGui. This is because some compile-time options have an affect on data structures.
// Defining those options in imconfig.h will ensure every compilation unit gets to see the same data structure layouts.
// Call IMGUI_CHECKVERSION() from your .cpp files to verify that the data structures your files are using are matching the ones imgui.cpp is using.
//-----------------------------------------------------------------------------
#pragma once
//---- Define assertion handler. Defaults to calling assert().
// If your macro uses multiple statements, make sure is enclosed in a 'do { .. } while (0)' block so it can be used as a single statement.
//#define IM_ASSERT(_EXPR) MyAssert(_EXPR)
//#define IM_ASSERT(_EXPR) ((void)(_EXPR)) // Disable asserts
//---- Define attributes of all API symbols declarations, e.g. for DLL under Windows
// Using Dear ImGui via a shared library is not recommended, because of function call overhead and because we don't guarantee backward nor forward ABI compatibility.
// DLL users: heaps and globals are not shared across DLL boundaries! You will need to call SetCurrentContext() + SetAllocatorFunctions()
// for each static/DLL boundary you are calling from. Read "Context and Memory Allocators" section of imgui.cpp for more details.
//#define IMGUI_API __declspec( dllexport )
//#define IMGUI_API __declspec( dllimport )
//---- Don't define obsolete functions/enums/behaviors. Consider enabling from time to time after updating to avoid using soon-to-be obsolete function/names.
//#define IMGUI_DISABLE_OBSOLETE_FUNCTIONS
//#define IMGUI_DISABLE_OBSOLETE_KEYIO // 1.87: disable legacy io.KeyMap[]+io.KeysDown[] in favor io.AddKeyEvent(). This will be folded into IMGUI_DISABLE_OBSOLETE_FUNCTIONS in a few versions.
//---- Disable all of Dear ImGui or don't implement standard windows/tools.
// It is very strongly recommended to NOT disable the demo windows and debug tool during development. They are extremely useful in day to day work. Please read comments in imgui_demo.cpp.
//#define IMGUI_DISABLE // Disable everything: all headers and source files will be empty.
//#define IMGUI_DISABLE_DEMO_WINDOWS // Disable demo windows: ShowDemoWindow()/ShowStyleEditor() will be empty.
//#define IMGUI_DISABLE_DEBUG_TOOLS // Disable metrics/debugger and other debug tools: ShowMetricsWindow(), ShowDebugLogWindow() and ShowStackToolWindow() will be empty (this was called IMGUI_DISABLE_METRICS_WINDOW before 1.88).
//---- Don't implement some functions to reduce linkage requirements.
//#define IMGUI_DISABLE_WIN32_DEFAULT_CLIPBOARD_FUNCTIONS // [Win32] Don't implement default clipboard handler. Won't use and link with OpenClipboard/GetClipboardData/CloseClipboard etc. (user32.lib/.a, kernel32.lib/.a)
//#define IMGUI_ENABLE_WIN32_DEFAULT_IME_FUNCTIONS // [Win32] [Default with Visual Studio] Implement default IME handler (require imm32.lib/.a, auto-link for Visual Studio, -limm32 on command-line for MinGW)
//#define IMGUI_DISABLE_WIN32_DEFAULT_IME_FUNCTIONS // [Win32] [Default with non-Visual Studio compilers] Don't implement default IME handler (won't require imm32.lib/.a)
//#define IMGUI_DISABLE_WIN32_FUNCTIONS // [Win32] Won't use and link with any Win32 function (clipboard, ime).
//#define IMGUI_ENABLE_OSX_DEFAULT_CLIPBOARD_FUNCTIONS // [OSX] Implement default OSX clipboard handler (need to link with '-framework ApplicationServices', this is why this is not the default).
//#define IMGUI_DISABLE_DEFAULT_FORMAT_FUNCTIONS // Don't implement ImFormatString/ImFormatStringV so you can implement them yourself (e.g. if you don't want to link with vsnprintf)
//#define IMGUI_DISABLE_DEFAULT_MATH_FUNCTIONS // Don't implement ImFabs/ImSqrt/ImPow/ImFmod/ImCos/ImSin/ImAcos/ImAtan2 so you can implement them yourself.
//#define IMGUI_DISABLE_FILE_FUNCTIONS // Don't implement ImFileOpen/ImFileClose/ImFileRead/ImFileWrite and ImFileHandle at all (replace them with dummies)
//#define IMGUI_DISABLE_DEFAULT_FILE_FUNCTIONS // Don't implement ImFileOpen/ImFileClose/ImFileRead/ImFileWrite and ImFileHandle so you can implement them yourself if you don't want to link with fopen/fclose/fread/fwrite. This will also disable the LogToTTY() function.
//#define IMGUI_DISABLE_DEFAULT_ALLOCATORS // Don't implement default allocators calling malloc()/free() to avoid linking with them. You will need to call ImGui::SetAllocatorFunctions().
//#define IMGUI_DISABLE_SSE // Disable use of SSE intrinsics even if available
//---- Include imgui_user.h at the end of imgui.h as a convenience
//#define IMGUI_INCLUDE_IMGUI_USER_H
//---- Pack colors to BGRA8 instead of RGBA8 (to avoid converting from one to another)
//#define IMGUI_USE_BGRA_PACKED_COLOR
//---- Use 32-bit for ImWchar (default is 16-bit) to support unicode planes 1-16. (e.g. point beyond 0xFFFF like emoticons, dingbats, symbols, shapes, ancient languages, etc...)
//#define IMGUI_USE_WCHAR32
//---- Avoid multiple STB libraries implementations, or redefine path/filenames to prioritize another version
// By default the embedded implementations are declared static and not available outside of Dear ImGui sources files.
//#define IMGUI_STB_TRUETYPE_FILENAME "my_folder/stb_truetype.h"
//#define IMGUI_STB_RECT_PACK_FILENAME "my_folder/stb_rect_pack.h"
//#define IMGUI_STB_SPRINTF_FILENAME "my_folder/stb_sprintf.h" // only used if enabled
//#define IMGUI_DISABLE_STB_TRUETYPE_IMPLEMENTATION
//#define IMGUI_DISABLE_STB_RECT_PACK_IMPLEMENTATION
//---- Use stb_sprintf.h for a faster implementation of vsnprintf instead of the one from libc (unless IMGUI_DISABLE_DEFAULT_FORMAT_FUNCTIONS is defined)
// Compatibility checks of arguments and formats done by clang and GCC will be disabled in order to support the extra formats provided by stb_sprintf.h.
//#define IMGUI_USE_STB_SPRINTF
//---- Use FreeType to build and rasterize the font atlas (instead of stb_truetype which is embedded by default in Dear ImGui)
// Requires FreeType headers to be available in the include path. Requires program to be compiled with 'misc/freetype/imgui_freetype.cpp' (in this repository) + the FreeType library (not provided).
// On Windows you may use vcpkg with 'vcpkg install freetype --triplet=x64-windows' + 'vcpkg integrate install'.
//#define IMGUI_ENABLE_FREETYPE
//---- Use stb_truetype to build and rasterize the font atlas (default)
// The only purpose of this define is if you want force compilation of the stb_truetype backend ALONG with the FreeType backend.
//#define IMGUI_ENABLE_STB_TRUETYPE
//---- Define constructor and implicit cast operators to convert back<>forth between your math types and ImVec2/ImVec4.
// This will be inlined as part of ImVec2 and ImVec4 class declarations.
/*
#define IM_VEC2_CLASS_EXTRA \
constexpr ImVec2(const MyVec2& f) : x(f.x), y(f.y) {} \
operator MyVec2() const { return MyVec2(x,y); }
#define IM_VEC4_CLASS_EXTRA \
constexpr ImVec4(const MyVec4& f) : x(f.x), y(f.y), z(f.z), w(f.w) {} \
operator MyVec4() const { return MyVec4(x,y,z,w); }
*/
//---- ...Or use Dear ImGui's own very basic math operators.
//#define IMGUI_DEFINE_MATH_OPERATORS
//---- Use 32-bit vertex indices (default is 16-bit) is one way to allow large meshes with more than 64K vertices.
// Your renderer backend will need to support it (most example renderer backends support both 16/32-bit indices).
// Another way to allow large meshes while keeping 16-bit indices is to handle ImDrawCmd::VtxOffset in your renderer.
// Read about ImGuiBackendFlags_RendererHasVtxOffset for details.
//#define ImDrawIdx unsigned int
//---- Override ImDrawCallback signature (will need to modify renderer backends accordingly)
//struct ImDrawList;
//struct ImDrawCmd;
//typedef void (*MyImDrawCallback)(const ImDrawList* draw_list, const ImDrawCmd* cmd, void* my_renderer_user_data);
//#define ImDrawCallback MyImDrawCallback
//---- Debug Tools: Macro to break in Debugger
// (use 'Metrics->Tools->Item Picker' to pick widgets with the mouse and break into them for easy debugging.)
//#define IM_DEBUG_BREAK IM_ASSERT(0)
//#define IM_DEBUG_BREAK __debugbreak()
//---- Debug Tools: Enable slower asserts
//#define IMGUI_DEBUG_PARANOID
//---- Tip: You can add extra functions within the ImGui:: namespace, here or in your own headers files.
/*
namespace ImGui
{
void MyFunction(const char* name, const MyMatrix44& v);
}
*/
|
0 | repos/c2z/use_cases/imgui | repos/c2z/use_cases/imgui/include/imstb_textedit.h | // [DEAR IMGUI]
// This is a slightly modified version of stb_textedit.h 1.14.
// Those changes would need to be pushed into nothings/stb:
// - Fix in stb_textedit_discard_redo (see https://github.com/nothings/stb/issues/321)
// - Fix in stb_textedit_find_charpos to handle last line (see https://github.com/ocornut/imgui/issues/6000)
// Grep for [DEAR IMGUI] to find the changes.
// stb_textedit.h - v1.14 - public domain - Sean Barrett
// Development of this library was sponsored by RAD Game Tools
//
// This C header file implements the guts of a multi-line text-editing
// widget; you implement display, word-wrapping, and low-level string
// insertion/deletion, and stb_textedit will map user inputs into
// insertions & deletions, plus updates to the cursor position,
// selection state, and undo state.
//
// It is intended for use in games and other systems that need to build
// their own custom widgets and which do not have heavy text-editing
// requirements (this library is not recommended for use for editing large
// texts, as its performance does not scale and it has limited undo).
//
// Non-trivial behaviors are modelled after Windows text controls.
//
//
// LICENSE
//
// See end of file for license information.
//
//
// DEPENDENCIES
//
// Uses the C runtime function 'memmove', which you can override
// by defining STB_TEXTEDIT_memmove before the implementation.
// Uses no other functions. Performs no runtime allocations.
//
//
// VERSION HISTORY
//
// 1.14 (2021-07-11) page up/down, various fixes
// 1.13 (2019-02-07) fix bug in undo size management
// 1.12 (2018-01-29) user can change STB_TEXTEDIT_KEYTYPE, fix redo to avoid crash
// 1.11 (2017-03-03) fix HOME on last line, dragging off single-line textfield
// 1.10 (2016-10-25) supress warnings about casting away const with -Wcast-qual
// 1.9 (2016-08-27) customizable move-by-word
// 1.8 (2016-04-02) better keyboard handling when mouse button is down
// 1.7 (2015-09-13) change y range handling in case baseline is non-0
// 1.6 (2015-04-15) allow STB_TEXTEDIT_memmove
// 1.5 (2014-09-10) add support for secondary keys for OS X
// 1.4 (2014-08-17) fix signed/unsigned warnings
// 1.3 (2014-06-19) fix mouse clicking to round to nearest char boundary
// 1.2 (2014-05-27) fix some RAD types that had crept into the new code
// 1.1 (2013-12-15) move-by-word (requires STB_TEXTEDIT_IS_SPACE )
// 1.0 (2012-07-26) improve documentation, initial public release
// 0.3 (2012-02-24) bugfixes, single-line mode; insert mode
// 0.2 (2011-11-28) fixes to undo/redo
// 0.1 (2010-07-08) initial version
//
// ADDITIONAL CONTRIBUTORS
//
// Ulf Winklemann: move-by-word in 1.1
// Fabian Giesen: secondary key inputs in 1.5
// Martins Mozeiko: STB_TEXTEDIT_memmove in 1.6
// Louis Schnellbach: page up/down in 1.14
//
// Bugfixes:
// Scott Graham
// Daniel Keller
// Omar Cornut
// Dan Thompson
//
// USAGE
//
// This file behaves differently depending on what symbols you define
// before including it.
//
//
// Header-file mode:
//
// If you do not define STB_TEXTEDIT_IMPLEMENTATION before including this,
// it will operate in "header file" mode. In this mode, it declares a
// single public symbol, STB_TexteditState, which encapsulates the current
// state of a text widget (except for the string, which you will store
// separately).
//
// To compile in this mode, you must define STB_TEXTEDIT_CHARTYPE to a
// primitive type that defines a single character (e.g. char, wchar_t, etc).
//
// To save space or increase undo-ability, you can optionally define the
// following things that are used by the undo system:
//
// STB_TEXTEDIT_POSITIONTYPE small int type encoding a valid cursor position
// STB_TEXTEDIT_UNDOSTATECOUNT the number of undo states to allow
// STB_TEXTEDIT_UNDOCHARCOUNT the number of characters to store in the undo buffer
//
// If you don't define these, they are set to permissive types and
// moderate sizes. The undo system does no memory allocations, so
// it grows STB_TexteditState by the worst-case storage which is (in bytes):
//
// [4 + 3 * sizeof(STB_TEXTEDIT_POSITIONTYPE)] * STB_TEXTEDIT_UNDOSTATECOUNT
// + sizeof(STB_TEXTEDIT_CHARTYPE) * STB_TEXTEDIT_UNDOCHARCOUNT
//
//
// Implementation mode:
//
// If you define STB_TEXTEDIT_IMPLEMENTATION before including this, it
// will compile the implementation of the text edit widget, depending
// on a large number of symbols which must be defined before the include.
//
// The implementation is defined only as static functions. You will then
// need to provide your own APIs in the same file which will access the
// static functions.
//
// The basic concept is that you provide a "string" object which
// behaves like an array of characters. stb_textedit uses indices to
// refer to positions in the string, implicitly representing positions
// in the displayed textedit. This is true for both plain text and
// rich text; even with rich text stb_truetype interacts with your
// code as if there was an array of all the displayed characters.
//
// Symbols that must be the same in header-file and implementation mode:
//
// STB_TEXTEDIT_CHARTYPE the character type
// STB_TEXTEDIT_POSITIONTYPE small type that is a valid cursor position
// STB_TEXTEDIT_UNDOSTATECOUNT the number of undo states to allow
// STB_TEXTEDIT_UNDOCHARCOUNT the number of characters to store in the undo buffer
//
// Symbols you must define for implementation mode:
//
// STB_TEXTEDIT_STRING the type of object representing a string being edited,
// typically this is a wrapper object with other data you need
//
// STB_TEXTEDIT_STRINGLEN(obj) the length of the string (ideally O(1))
// STB_TEXTEDIT_LAYOUTROW(&r,obj,n) returns the results of laying out a line of characters
// starting from character #n (see discussion below)
// STB_TEXTEDIT_GETWIDTH(obj,n,i) returns the pixel delta from the xpos of the i'th character
// to the xpos of the i+1'th char for a line of characters
// starting at character #n (i.e. accounts for kerning
// with previous char)
// STB_TEXTEDIT_KEYTOTEXT(k) maps a keyboard input to an insertable character
// (return type is int, -1 means not valid to insert)
// STB_TEXTEDIT_GETCHAR(obj,i) returns the i'th character of obj, 0-based
// STB_TEXTEDIT_NEWLINE the character returned by _GETCHAR() we recognize
// as manually wordwrapping for end-of-line positioning
//
// STB_TEXTEDIT_DELETECHARS(obj,i,n) delete n characters starting at i
// STB_TEXTEDIT_INSERTCHARS(obj,i,c*,n) insert n characters at i (pointed to by STB_TEXTEDIT_CHARTYPE*)
//
// STB_TEXTEDIT_K_SHIFT a power of two that is or'd in to a keyboard input to represent the shift key
//
// STB_TEXTEDIT_K_LEFT keyboard input to move cursor left
// STB_TEXTEDIT_K_RIGHT keyboard input to move cursor right
// STB_TEXTEDIT_K_UP keyboard input to move cursor up
// STB_TEXTEDIT_K_DOWN keyboard input to move cursor down
// STB_TEXTEDIT_K_PGUP keyboard input to move cursor up a page
// STB_TEXTEDIT_K_PGDOWN keyboard input to move cursor down a page
// STB_TEXTEDIT_K_LINESTART keyboard input to move cursor to start of line // e.g. HOME
// STB_TEXTEDIT_K_LINEEND keyboard input to move cursor to end of line // e.g. END
// STB_TEXTEDIT_K_TEXTSTART keyboard input to move cursor to start of text // e.g. ctrl-HOME
// STB_TEXTEDIT_K_TEXTEND keyboard input to move cursor to end of text // e.g. ctrl-END
// STB_TEXTEDIT_K_DELETE keyboard input to delete selection or character under cursor
// STB_TEXTEDIT_K_BACKSPACE keyboard input to delete selection or character left of cursor
// STB_TEXTEDIT_K_UNDO keyboard input to perform undo
// STB_TEXTEDIT_K_REDO keyboard input to perform redo
//
// Optional:
// STB_TEXTEDIT_K_INSERT keyboard input to toggle insert mode
// STB_TEXTEDIT_IS_SPACE(ch) true if character is whitespace (e.g. 'isspace'),
// required for default WORDLEFT/WORDRIGHT handlers
// STB_TEXTEDIT_MOVEWORDLEFT(obj,i) custom handler for WORDLEFT, returns index to move cursor to
// STB_TEXTEDIT_MOVEWORDRIGHT(obj,i) custom handler for WORDRIGHT, returns index to move cursor to
// STB_TEXTEDIT_K_WORDLEFT keyboard input to move cursor left one word // e.g. ctrl-LEFT
// STB_TEXTEDIT_K_WORDRIGHT keyboard input to move cursor right one word // e.g. ctrl-RIGHT
// STB_TEXTEDIT_K_LINESTART2 secondary keyboard input to move cursor to start of line
// STB_TEXTEDIT_K_LINEEND2 secondary keyboard input to move cursor to end of line
// STB_TEXTEDIT_K_TEXTSTART2 secondary keyboard input to move cursor to start of text
// STB_TEXTEDIT_K_TEXTEND2 secondary keyboard input to move cursor to end of text
//
// Keyboard input must be encoded as a single integer value; e.g. a character code
// and some bitflags that represent shift states. to simplify the interface, SHIFT must
// be a bitflag, so we can test the shifted state of cursor movements to allow selection,
// i.e. (STB_TEXTEDIT_K_RIGHT|STB_TEXTEDIT_K_SHIFT) should be shifted right-arrow.
//
// You can encode other things, such as CONTROL or ALT, in additional bits, and
// then test for their presence in e.g. STB_TEXTEDIT_K_WORDLEFT. For example,
// my Windows implementations add an additional CONTROL bit, and an additional KEYDOWN
// bit. Then all of the STB_TEXTEDIT_K_ values bitwise-or in the KEYDOWN bit,
// and I pass both WM_KEYDOWN and WM_CHAR events to the "key" function in the
// API below. The control keys will only match WM_KEYDOWN events because of the
// keydown bit I add, and STB_TEXTEDIT_KEYTOTEXT only tests for the KEYDOWN
// bit so it only decodes WM_CHAR events.
//
// STB_TEXTEDIT_LAYOUTROW returns information about the shape of one displayed
// row of characters assuming they start on the i'th character--the width and
// the height and the number of characters consumed. This allows this library
// to traverse the entire layout incrementally. You need to compute word-wrapping
// here.
//
// Each textfield keeps its own insert mode state, which is not how normal
// applications work. To keep an app-wide insert mode, update/copy the
// "insert_mode" field of STB_TexteditState before/after calling API functions.
//
// API
//
// void stb_textedit_initialize_state(STB_TexteditState *state, int is_single_line)
//
// void stb_textedit_click(STB_TEXTEDIT_STRING *str, STB_TexteditState *state, float x, float y)
// void stb_textedit_drag(STB_TEXTEDIT_STRING *str, STB_TexteditState *state, float x, float y)
// int stb_textedit_cut(STB_TEXTEDIT_STRING *str, STB_TexteditState *state)
// int stb_textedit_paste(STB_TEXTEDIT_STRING *str, STB_TexteditState *state, STB_TEXTEDIT_CHARTYPE *text, int len)
// void stb_textedit_key(STB_TEXTEDIT_STRING *str, STB_TexteditState *state, STB_TEXEDIT_KEYTYPE key)
//
// Each of these functions potentially updates the string and updates the
// state.
//
// initialize_state:
// set the textedit state to a known good default state when initially
// constructing the textedit.
//
// click:
// call this with the mouse x,y on a mouse down; it will update the cursor
// and reset the selection start/end to the cursor point. the x,y must
// be relative to the text widget, with (0,0) being the top left.
//
// drag:
// call this with the mouse x,y on a mouse drag/up; it will update the
// cursor and the selection end point
//
// cut:
// call this to delete the current selection; returns true if there was
// one. you should FIRST copy the current selection to the system paste buffer.
// (To copy, just copy the current selection out of the string yourself.)
//
// paste:
// call this to paste text at the current cursor point or over the current
// selection if there is one.
//
// key:
// call this for keyboard inputs sent to the textfield. you can use it
// for "key down" events or for "translated" key events. if you need to
// do both (as in Win32), or distinguish Unicode characters from control
// inputs, set a high bit to distinguish the two; then you can define the
// various definitions like STB_TEXTEDIT_K_LEFT have the is-key-event bit
// set, and make STB_TEXTEDIT_KEYTOCHAR check that the is-key-event bit is
// clear. STB_TEXTEDIT_KEYTYPE defaults to int, but you can #define it to
// anything other type you wante before including.
//
//
// When rendering, you can read the cursor position and selection state from
// the STB_TexteditState.
//
//
// Notes:
//
// This is designed to be usable in IMGUI, so it allows for the possibility of
// running in an IMGUI that has NOT cached the multi-line layout. For this
// reason, it provides an interface that is compatible with computing the
// layout incrementally--we try to make sure we make as few passes through
// as possible. (For example, to locate the mouse pointer in the text, we
// could define functions that return the X and Y positions of characters
// and binary search Y and then X, but if we're doing dynamic layout this
// will run the layout algorithm many times, so instead we manually search
// forward in one pass. Similar logic applies to e.g. up-arrow and
// down-arrow movement.)
//
// If it's run in a widget that *has* cached the layout, then this is less
// efficient, but it's not horrible on modern computers. But you wouldn't
// want to edit million-line files with it.
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////
//// Header-file mode
////
////
#ifndef INCLUDE_STB_TEXTEDIT_H
#define INCLUDE_STB_TEXTEDIT_H
////////////////////////////////////////////////////////////////////////
//
// STB_TexteditState
//
// Definition of STB_TexteditState which you should store
// per-textfield; it includes cursor position, selection state,
// and undo state.
//
#ifndef STB_TEXTEDIT_UNDOSTATECOUNT
#define STB_TEXTEDIT_UNDOSTATECOUNT 99
#endif
#ifndef STB_TEXTEDIT_UNDOCHARCOUNT
#define STB_TEXTEDIT_UNDOCHARCOUNT 999
#endif
#ifndef STB_TEXTEDIT_CHARTYPE
#define STB_TEXTEDIT_CHARTYPE int
#endif
#ifndef STB_TEXTEDIT_POSITIONTYPE
#define STB_TEXTEDIT_POSITIONTYPE int
#endif
typedef struct
{
// private data
STB_TEXTEDIT_POSITIONTYPE where;
STB_TEXTEDIT_POSITIONTYPE insert_length;
STB_TEXTEDIT_POSITIONTYPE delete_length;
int char_storage;
} StbUndoRecord;
typedef struct
{
// private data
StbUndoRecord undo_rec [STB_TEXTEDIT_UNDOSTATECOUNT];
STB_TEXTEDIT_CHARTYPE undo_char[STB_TEXTEDIT_UNDOCHARCOUNT];
short undo_point, redo_point;
int undo_char_point, redo_char_point;
} StbUndoState;
typedef struct
{
/////////////////////
//
// public data
//
int cursor;
// position of the text cursor within the string
int select_start; // selection start point
int select_end;
// selection start and end point in characters; if equal, no selection.
// note that start may be less than or greater than end (e.g. when
// dragging the mouse, start is where the initial click was, and you
// can drag in either direction)
unsigned char insert_mode;
// each textfield keeps its own insert mode state. to keep an app-wide
// insert mode, copy this value in/out of the app state
int row_count_per_page;
// page size in number of row.
// this value MUST be set to >0 for pageup or pagedown in multilines documents.
/////////////////////
//
// private data
//
unsigned char cursor_at_end_of_line; // not implemented yet
unsigned char initialized;
unsigned char has_preferred_x;
unsigned char single_line;
unsigned char padding1, padding2, padding3;
float preferred_x; // this determines where the cursor up/down tries to seek to along x
StbUndoState undostate;
} STB_TexteditState;
////////////////////////////////////////////////////////////////////////
//
// StbTexteditRow
//
// Result of layout query, used by stb_textedit to determine where
// the text in each row is.
// result of layout query
typedef struct
{
float x0,x1; // starting x location, end x location (allows for align=right, etc)
float baseline_y_delta; // position of baseline relative to previous row's baseline
float ymin,ymax; // height of row above and below baseline
int num_chars;
} StbTexteditRow;
#endif //INCLUDE_STB_TEXTEDIT_H
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////
//// Implementation mode
////
////
// implementation isn't include-guarded, since it might have indirectly
// included just the "header" portion
#ifdef STB_TEXTEDIT_IMPLEMENTATION
#ifndef STB_TEXTEDIT_memmove
#include <string.h>
#define STB_TEXTEDIT_memmove memmove
#endif
/////////////////////////////////////////////////////////////////////////////
//
// Mouse input handling
//
// traverse the layout to locate the nearest character to a display position
static int stb_text_locate_coord(STB_TEXTEDIT_STRING *str, float x, float y)
{
StbTexteditRow r;
int n = STB_TEXTEDIT_STRINGLEN(str);
float base_y = 0, prev_x;
int i=0, k;
r.x0 = r.x1 = 0;
r.ymin = r.ymax = 0;
r.num_chars = 0;
// search rows to find one that straddles 'y'
while (i < n) {
STB_TEXTEDIT_LAYOUTROW(&r, str, i);
if (r.num_chars <= 0)
return n;
if (i==0 && y < base_y + r.ymin)
return 0;
if (y < base_y + r.ymax)
break;
i += r.num_chars;
base_y += r.baseline_y_delta;
}
// below all text, return 'after' last character
if (i >= n)
return n;
// check if it's before the beginning of the line
if (x < r.x0)
return i;
// check if it's before the end of the line
if (x < r.x1) {
// search characters in row for one that straddles 'x'
prev_x = r.x0;
for (k=0; k < r.num_chars; ++k) {
float w = STB_TEXTEDIT_GETWIDTH(str, i, k);
if (x < prev_x+w) {
if (x < prev_x+w/2)
return k+i;
else
return k+i+1;
}
prev_x += w;
}
// shouldn't happen, but if it does, fall through to end-of-line case
}
// if the last character is a newline, return that. otherwise return 'after' the last character
if (STB_TEXTEDIT_GETCHAR(str, i+r.num_chars-1) == STB_TEXTEDIT_NEWLINE)
return i+r.num_chars-1;
else
return i+r.num_chars;
}
// API click: on mouse down, move the cursor to the clicked location, and reset the selection
static void stb_textedit_click(STB_TEXTEDIT_STRING *str, STB_TexteditState *state, float x, float y)
{
// In single-line mode, just always make y = 0. This lets the drag keep working if the mouse
// goes off the top or bottom of the text
if( state->single_line )
{
StbTexteditRow r;
STB_TEXTEDIT_LAYOUTROW(&r, str, 0);
y = r.ymin;
}
state->cursor = stb_text_locate_coord(str, x, y);
state->select_start = state->cursor;
state->select_end = state->cursor;
state->has_preferred_x = 0;
}
// API drag: on mouse drag, move the cursor and selection endpoint to the clicked location
static void stb_textedit_drag(STB_TEXTEDIT_STRING *str, STB_TexteditState *state, float x, float y)
{
int p = 0;
// In single-line mode, just always make y = 0. This lets the drag keep working if the mouse
// goes off the top or bottom of the text
if( state->single_line )
{
StbTexteditRow r;
STB_TEXTEDIT_LAYOUTROW(&r, str, 0);
y = r.ymin;
}
if (state->select_start == state->select_end)
state->select_start = state->cursor;
p = stb_text_locate_coord(str, x, y);
state->cursor = state->select_end = p;
}
/////////////////////////////////////////////////////////////////////////////
//
// Keyboard input handling
//
// forward declarations
static void stb_text_undo(STB_TEXTEDIT_STRING *str, STB_TexteditState *state);
static void stb_text_redo(STB_TEXTEDIT_STRING *str, STB_TexteditState *state);
static void stb_text_makeundo_delete(STB_TEXTEDIT_STRING *str, STB_TexteditState *state, int where, int length);
static void stb_text_makeundo_insert(STB_TexteditState *state, int where, int length);
static void stb_text_makeundo_replace(STB_TEXTEDIT_STRING *str, STB_TexteditState *state, int where, int old_length, int new_length);
typedef struct
{
float x,y; // position of n'th character
float height; // height of line
int first_char, length; // first char of row, and length
int prev_first; // first char of previous row
} StbFindState;
// find the x/y location of a character, and remember info about the previous row in
// case we get a move-up event (for page up, we'll have to rescan)
static void stb_textedit_find_charpos(StbFindState *find, STB_TEXTEDIT_STRING *str, int n, int single_line)
{
StbTexteditRow r;
int prev_start = 0;
int z = STB_TEXTEDIT_STRINGLEN(str);
int i=0, first;
if (n == z && single_line) {
// special case if it's at the end (may not be needed?)
STB_TEXTEDIT_LAYOUTROW(&r, str, 0);
find->y = 0;
find->first_char = 0;
find->length = z;
find->height = r.ymax - r.ymin;
find->x = r.x1;
return;
}
// search rows to find the one that straddles character n
find->y = 0;
for(;;) {
STB_TEXTEDIT_LAYOUTROW(&r, str, i);
if (n < i + r.num_chars)
break;
if (i + r.num_chars == z && z > 0 && STB_TEXTEDIT_GETCHAR(str, z - 1) != STB_TEXTEDIT_NEWLINE) // [DEAR IMGUI] special handling for last line
break; // [DEAR IMGUI]
prev_start = i;
i += r.num_chars;
find->y += r.baseline_y_delta;
if (i == z) // [DEAR IMGUI]
break; // [DEAR IMGUI]
}
find->first_char = first = i;
find->length = r.num_chars;
find->height = r.ymax - r.ymin;
find->prev_first = prev_start;
// now scan to find xpos
find->x = r.x0;
for (i=0; first+i < n; ++i)
find->x += STB_TEXTEDIT_GETWIDTH(str, first, i);
}
#define STB_TEXT_HAS_SELECTION(s) ((s)->select_start != (s)->select_end)
// make the selection/cursor state valid if client altered the string
static void stb_textedit_clamp(STB_TEXTEDIT_STRING *str, STB_TexteditState *state)
{
int n = STB_TEXTEDIT_STRINGLEN(str);
if (STB_TEXT_HAS_SELECTION(state)) {
if (state->select_start > n) state->select_start = n;
if (state->select_end > n) state->select_end = n;
// if clamping forced them to be equal, move the cursor to match
if (state->select_start == state->select_end)
state->cursor = state->select_start;
}
if (state->cursor > n) state->cursor = n;
}
// delete characters while updating undo
static void stb_textedit_delete(STB_TEXTEDIT_STRING *str, STB_TexteditState *state, int where, int len)
{
stb_text_makeundo_delete(str, state, where, len);
STB_TEXTEDIT_DELETECHARS(str, where, len);
state->has_preferred_x = 0;
}
// delete the section
static void stb_textedit_delete_selection(STB_TEXTEDIT_STRING *str, STB_TexteditState *state)
{
stb_textedit_clamp(str, state);
if (STB_TEXT_HAS_SELECTION(state)) {
if (state->select_start < state->select_end) {
stb_textedit_delete(str, state, state->select_start, state->select_end - state->select_start);
state->select_end = state->cursor = state->select_start;
} else {
stb_textedit_delete(str, state, state->select_end, state->select_start - state->select_end);
state->select_start = state->cursor = state->select_end;
}
state->has_preferred_x = 0;
}
}
// canoncialize the selection so start <= end
static void stb_textedit_sortselection(STB_TexteditState *state)
{
if (state->select_end < state->select_start) {
int temp = state->select_end;
state->select_end = state->select_start;
state->select_start = temp;
}
}
// move cursor to first character of selection
static void stb_textedit_move_to_first(STB_TexteditState *state)
{
if (STB_TEXT_HAS_SELECTION(state)) {
stb_textedit_sortselection(state);
state->cursor = state->select_start;
state->select_end = state->select_start;
state->has_preferred_x = 0;
}
}
// move cursor to last character of selection
static void stb_textedit_move_to_last(STB_TEXTEDIT_STRING *str, STB_TexteditState *state)
{
if (STB_TEXT_HAS_SELECTION(state)) {
stb_textedit_sortselection(state);
stb_textedit_clamp(str, state);
state->cursor = state->select_end;
state->select_start = state->select_end;
state->has_preferred_x = 0;
}
}
#ifdef STB_TEXTEDIT_IS_SPACE
static int is_word_boundary( STB_TEXTEDIT_STRING *str, int idx )
{
return idx > 0 ? (STB_TEXTEDIT_IS_SPACE( STB_TEXTEDIT_GETCHAR(str,idx-1) ) && !STB_TEXTEDIT_IS_SPACE( STB_TEXTEDIT_GETCHAR(str, idx) ) ) : 1;
}
#ifndef STB_TEXTEDIT_MOVEWORDLEFT
static int stb_textedit_move_to_word_previous( STB_TEXTEDIT_STRING *str, int c )
{
--c; // always move at least one character
while( c >= 0 && !is_word_boundary( str, c ) )
--c;
if( c < 0 )
c = 0;
return c;
}
#define STB_TEXTEDIT_MOVEWORDLEFT stb_textedit_move_to_word_previous
#endif
#ifndef STB_TEXTEDIT_MOVEWORDRIGHT
static int stb_textedit_move_to_word_next( STB_TEXTEDIT_STRING *str, int c )
{
const int len = STB_TEXTEDIT_STRINGLEN(str);
++c; // always move at least one character
while( c < len && !is_word_boundary( str, c ) )
++c;
if( c > len )
c = len;
return c;
}
#define STB_TEXTEDIT_MOVEWORDRIGHT stb_textedit_move_to_word_next
#endif
#endif
// update selection and cursor to match each other
static void stb_textedit_prep_selection_at_cursor(STB_TexteditState *state)
{
if (!STB_TEXT_HAS_SELECTION(state))
state->select_start = state->select_end = state->cursor;
else
state->cursor = state->select_end;
}
// API cut: delete selection
static int stb_textedit_cut(STB_TEXTEDIT_STRING *str, STB_TexteditState *state)
{
if (STB_TEXT_HAS_SELECTION(state)) {
stb_textedit_delete_selection(str,state); // implicitly clamps
state->has_preferred_x = 0;
return 1;
}
return 0;
}
// API paste: replace existing selection with passed-in text
static int stb_textedit_paste_internal(STB_TEXTEDIT_STRING *str, STB_TexteditState *state, STB_TEXTEDIT_CHARTYPE *text, int len)
{
// if there's a selection, the paste should delete it
stb_textedit_clamp(str, state);
stb_textedit_delete_selection(str,state);
// try to insert the characters
if (STB_TEXTEDIT_INSERTCHARS(str, state->cursor, text, len)) {
stb_text_makeundo_insert(state, state->cursor, len);
state->cursor += len;
state->has_preferred_x = 0;
return 1;
}
// note: paste failure will leave deleted selection, may be restored with an undo (see https://github.com/nothings/stb/issues/734 for details)
return 0;
}
#ifndef STB_TEXTEDIT_KEYTYPE
#define STB_TEXTEDIT_KEYTYPE int
#endif
// API key: process a keyboard input
static void stb_textedit_key(STB_TEXTEDIT_STRING *str, STB_TexteditState *state, STB_TEXTEDIT_KEYTYPE key)
{
retry:
switch (key) {
default: {
int c = STB_TEXTEDIT_KEYTOTEXT(key);
if (c > 0) {
STB_TEXTEDIT_CHARTYPE ch = (STB_TEXTEDIT_CHARTYPE) c;
// can't add newline in single-line mode
if (c == '\n' && state->single_line)
break;
if (state->insert_mode && !STB_TEXT_HAS_SELECTION(state) && state->cursor < STB_TEXTEDIT_STRINGLEN(str)) {
stb_text_makeundo_replace(str, state, state->cursor, 1, 1);
STB_TEXTEDIT_DELETECHARS(str, state->cursor, 1);
if (STB_TEXTEDIT_INSERTCHARS(str, state->cursor, &ch, 1)) {
++state->cursor;
state->has_preferred_x = 0;
}
} else {
stb_textedit_delete_selection(str,state); // implicitly clamps
if (STB_TEXTEDIT_INSERTCHARS(str, state->cursor, &ch, 1)) {
stb_text_makeundo_insert(state, state->cursor, 1);
++state->cursor;
state->has_preferred_x = 0;
}
}
}
break;
}
#ifdef STB_TEXTEDIT_K_INSERT
case STB_TEXTEDIT_K_INSERT:
state->insert_mode = !state->insert_mode;
break;
#endif
case STB_TEXTEDIT_K_UNDO:
stb_text_undo(str, state);
state->has_preferred_x = 0;
break;
case STB_TEXTEDIT_K_REDO:
stb_text_redo(str, state);
state->has_preferred_x = 0;
break;
case STB_TEXTEDIT_K_LEFT:
// if currently there's a selection, move cursor to start of selection
if (STB_TEXT_HAS_SELECTION(state))
stb_textedit_move_to_first(state);
else
if (state->cursor > 0)
--state->cursor;
state->has_preferred_x = 0;
break;
case STB_TEXTEDIT_K_RIGHT:
// if currently there's a selection, move cursor to end of selection
if (STB_TEXT_HAS_SELECTION(state))
stb_textedit_move_to_last(str, state);
else
++state->cursor;
stb_textedit_clamp(str, state);
state->has_preferred_x = 0;
break;
case STB_TEXTEDIT_K_LEFT | STB_TEXTEDIT_K_SHIFT:
stb_textedit_clamp(str, state);
stb_textedit_prep_selection_at_cursor(state);
// move selection left
if (state->select_end > 0)
--state->select_end;
state->cursor = state->select_end;
state->has_preferred_x = 0;
break;
#ifdef STB_TEXTEDIT_MOVEWORDLEFT
case STB_TEXTEDIT_K_WORDLEFT:
if (STB_TEXT_HAS_SELECTION(state))
stb_textedit_move_to_first(state);
else {
state->cursor = STB_TEXTEDIT_MOVEWORDLEFT(str, state->cursor);
stb_textedit_clamp( str, state );
}
break;
case STB_TEXTEDIT_K_WORDLEFT | STB_TEXTEDIT_K_SHIFT:
if( !STB_TEXT_HAS_SELECTION( state ) )
stb_textedit_prep_selection_at_cursor(state);
state->cursor = STB_TEXTEDIT_MOVEWORDLEFT(str, state->cursor);
state->select_end = state->cursor;
stb_textedit_clamp( str, state );
break;
#endif
#ifdef STB_TEXTEDIT_MOVEWORDRIGHT
case STB_TEXTEDIT_K_WORDRIGHT:
if (STB_TEXT_HAS_SELECTION(state))
stb_textedit_move_to_last(str, state);
else {
state->cursor = STB_TEXTEDIT_MOVEWORDRIGHT(str, state->cursor);
stb_textedit_clamp( str, state );
}
break;
case STB_TEXTEDIT_K_WORDRIGHT | STB_TEXTEDIT_K_SHIFT:
if( !STB_TEXT_HAS_SELECTION( state ) )
stb_textedit_prep_selection_at_cursor(state);
state->cursor = STB_TEXTEDIT_MOVEWORDRIGHT(str, state->cursor);
state->select_end = state->cursor;
stb_textedit_clamp( str, state );
break;
#endif
case STB_TEXTEDIT_K_RIGHT | STB_TEXTEDIT_K_SHIFT:
stb_textedit_prep_selection_at_cursor(state);
// move selection right
++state->select_end;
stb_textedit_clamp(str, state);
state->cursor = state->select_end;
state->has_preferred_x = 0;
break;
case STB_TEXTEDIT_K_DOWN:
case STB_TEXTEDIT_K_DOWN | STB_TEXTEDIT_K_SHIFT:
case STB_TEXTEDIT_K_PGDOWN:
case STB_TEXTEDIT_K_PGDOWN | STB_TEXTEDIT_K_SHIFT: {
StbFindState find;
StbTexteditRow row;
int i, j, sel = (key & STB_TEXTEDIT_K_SHIFT) != 0;
int is_page = (key & ~STB_TEXTEDIT_K_SHIFT) == STB_TEXTEDIT_K_PGDOWN;
int row_count = is_page ? state->row_count_per_page : 1;
if (!is_page && state->single_line) {
// on windows, up&down in single-line behave like left&right
key = STB_TEXTEDIT_K_RIGHT | (key & STB_TEXTEDIT_K_SHIFT);
goto retry;
}
if (sel)
stb_textedit_prep_selection_at_cursor(state);
else if (STB_TEXT_HAS_SELECTION(state))
stb_textedit_move_to_last(str, state);
// compute current position of cursor point
stb_textedit_clamp(str, state);
stb_textedit_find_charpos(&find, str, state->cursor, state->single_line);
for (j = 0; j < row_count; ++j) {
float x, goal_x = state->has_preferred_x ? state->preferred_x : find.x;
int start = find.first_char + find.length;
if (find.length == 0)
break;
// [DEAR IMGUI]
// going down while being on the last line shouldn't bring us to that line end
if (STB_TEXTEDIT_GETCHAR(str, find.first_char + find.length - 1) != STB_TEXTEDIT_NEWLINE)
break;
// now find character position down a row
state->cursor = start;
STB_TEXTEDIT_LAYOUTROW(&row, str, state->cursor);
x = row.x0;
for (i=0; i < row.num_chars; ++i) {
float dx = STB_TEXTEDIT_GETWIDTH(str, start, i);
#ifdef STB_TEXTEDIT_GETWIDTH_NEWLINE
if (dx == STB_TEXTEDIT_GETWIDTH_NEWLINE)
break;
#endif
x += dx;
if (x > goal_x)
break;
++state->cursor;
}
stb_textedit_clamp(str, state);
state->has_preferred_x = 1;
state->preferred_x = goal_x;
if (sel)
state->select_end = state->cursor;
// go to next line
find.first_char = find.first_char + find.length;
find.length = row.num_chars;
}
break;
}
case STB_TEXTEDIT_K_UP:
case STB_TEXTEDIT_K_UP | STB_TEXTEDIT_K_SHIFT:
case STB_TEXTEDIT_K_PGUP:
case STB_TEXTEDIT_K_PGUP | STB_TEXTEDIT_K_SHIFT: {
StbFindState find;
StbTexteditRow row;
int i, j, prev_scan, sel = (key & STB_TEXTEDIT_K_SHIFT) != 0;
int is_page = (key & ~STB_TEXTEDIT_K_SHIFT) == STB_TEXTEDIT_K_PGUP;
int row_count = is_page ? state->row_count_per_page : 1;
if (!is_page && state->single_line) {
// on windows, up&down become left&right
key = STB_TEXTEDIT_K_LEFT | (key & STB_TEXTEDIT_K_SHIFT);
goto retry;
}
if (sel)
stb_textedit_prep_selection_at_cursor(state);
else if (STB_TEXT_HAS_SELECTION(state))
stb_textedit_move_to_first(state);
// compute current position of cursor point
stb_textedit_clamp(str, state);
stb_textedit_find_charpos(&find, str, state->cursor, state->single_line);
for (j = 0; j < row_count; ++j) {
float x, goal_x = state->has_preferred_x ? state->preferred_x : find.x;
// can only go up if there's a previous row
if (find.prev_first == find.first_char)
break;
// now find character position up a row
state->cursor = find.prev_first;
STB_TEXTEDIT_LAYOUTROW(&row, str, state->cursor);
x = row.x0;
for (i=0; i < row.num_chars; ++i) {
float dx = STB_TEXTEDIT_GETWIDTH(str, find.prev_first, i);
#ifdef STB_TEXTEDIT_GETWIDTH_NEWLINE
if (dx == STB_TEXTEDIT_GETWIDTH_NEWLINE)
break;
#endif
x += dx;
if (x > goal_x)
break;
++state->cursor;
}
stb_textedit_clamp(str, state);
state->has_preferred_x = 1;
state->preferred_x = goal_x;
if (sel)
state->select_end = state->cursor;
// go to previous line
// (we need to scan previous line the hard way. maybe we could expose this as a new API function?)
prev_scan = find.prev_first > 0 ? find.prev_first - 1 : 0;
while (prev_scan > 0 && STB_TEXTEDIT_GETCHAR(str, prev_scan - 1) != STB_TEXTEDIT_NEWLINE)
--prev_scan;
find.first_char = find.prev_first;
find.prev_first = prev_scan;
}
break;
}
case STB_TEXTEDIT_K_DELETE:
case STB_TEXTEDIT_K_DELETE | STB_TEXTEDIT_K_SHIFT:
if (STB_TEXT_HAS_SELECTION(state))
stb_textedit_delete_selection(str, state);
else {
int n = STB_TEXTEDIT_STRINGLEN(str);
if (state->cursor < n)
stb_textedit_delete(str, state, state->cursor, 1);
}
state->has_preferred_x = 0;
break;
case STB_TEXTEDIT_K_BACKSPACE:
case STB_TEXTEDIT_K_BACKSPACE | STB_TEXTEDIT_K_SHIFT:
if (STB_TEXT_HAS_SELECTION(state))
stb_textedit_delete_selection(str, state);
else {
stb_textedit_clamp(str, state);
if (state->cursor > 0) {
stb_textedit_delete(str, state, state->cursor-1, 1);
--state->cursor;
}
}
state->has_preferred_x = 0;
break;
#ifdef STB_TEXTEDIT_K_TEXTSTART2
case STB_TEXTEDIT_K_TEXTSTART2:
#endif
case STB_TEXTEDIT_K_TEXTSTART:
state->cursor = state->select_start = state->select_end = 0;
state->has_preferred_x = 0;
break;
#ifdef STB_TEXTEDIT_K_TEXTEND2
case STB_TEXTEDIT_K_TEXTEND2:
#endif
case STB_TEXTEDIT_K_TEXTEND:
state->cursor = STB_TEXTEDIT_STRINGLEN(str);
state->select_start = state->select_end = 0;
state->has_preferred_x = 0;
break;
#ifdef STB_TEXTEDIT_K_TEXTSTART2
case STB_TEXTEDIT_K_TEXTSTART2 | STB_TEXTEDIT_K_SHIFT:
#endif
case STB_TEXTEDIT_K_TEXTSTART | STB_TEXTEDIT_K_SHIFT:
stb_textedit_prep_selection_at_cursor(state);
state->cursor = state->select_end = 0;
state->has_preferred_x = 0;
break;
#ifdef STB_TEXTEDIT_K_TEXTEND2
case STB_TEXTEDIT_K_TEXTEND2 | STB_TEXTEDIT_K_SHIFT:
#endif
case STB_TEXTEDIT_K_TEXTEND | STB_TEXTEDIT_K_SHIFT:
stb_textedit_prep_selection_at_cursor(state);
state->cursor = state->select_end = STB_TEXTEDIT_STRINGLEN(str);
state->has_preferred_x = 0;
break;
#ifdef STB_TEXTEDIT_K_LINESTART2
case STB_TEXTEDIT_K_LINESTART2:
#endif
case STB_TEXTEDIT_K_LINESTART:
stb_textedit_clamp(str, state);
stb_textedit_move_to_first(state);
if (state->single_line)
state->cursor = 0;
else while (state->cursor > 0 && STB_TEXTEDIT_GETCHAR(str, state->cursor-1) != STB_TEXTEDIT_NEWLINE)
--state->cursor;
state->has_preferred_x = 0;
break;
#ifdef STB_TEXTEDIT_K_LINEEND2
case STB_TEXTEDIT_K_LINEEND2:
#endif
case STB_TEXTEDIT_K_LINEEND: {
int n = STB_TEXTEDIT_STRINGLEN(str);
stb_textedit_clamp(str, state);
stb_textedit_move_to_first(state);
if (state->single_line)
state->cursor = n;
else while (state->cursor < n && STB_TEXTEDIT_GETCHAR(str, state->cursor) != STB_TEXTEDIT_NEWLINE)
++state->cursor;
state->has_preferred_x = 0;
break;
}
#ifdef STB_TEXTEDIT_K_LINESTART2
case STB_TEXTEDIT_K_LINESTART2 | STB_TEXTEDIT_K_SHIFT:
#endif
case STB_TEXTEDIT_K_LINESTART | STB_TEXTEDIT_K_SHIFT:
stb_textedit_clamp(str, state);
stb_textedit_prep_selection_at_cursor(state);
if (state->single_line)
state->cursor = 0;
else while (state->cursor > 0 && STB_TEXTEDIT_GETCHAR(str, state->cursor-1) != STB_TEXTEDIT_NEWLINE)
--state->cursor;
state->select_end = state->cursor;
state->has_preferred_x = 0;
break;
#ifdef STB_TEXTEDIT_K_LINEEND2
case STB_TEXTEDIT_K_LINEEND2 | STB_TEXTEDIT_K_SHIFT:
#endif
case STB_TEXTEDIT_K_LINEEND | STB_TEXTEDIT_K_SHIFT: {
int n = STB_TEXTEDIT_STRINGLEN(str);
stb_textedit_clamp(str, state);
stb_textedit_prep_selection_at_cursor(state);
if (state->single_line)
state->cursor = n;
else while (state->cursor < n && STB_TEXTEDIT_GETCHAR(str, state->cursor) != STB_TEXTEDIT_NEWLINE)
++state->cursor;
state->select_end = state->cursor;
state->has_preferred_x = 0;
break;
}
}
}
/////////////////////////////////////////////////////////////////////////////
//
// Undo processing
//
// @OPTIMIZE: the undo/redo buffer should be circular
static void stb_textedit_flush_redo(StbUndoState *state)
{
state->redo_point = STB_TEXTEDIT_UNDOSTATECOUNT;
state->redo_char_point = STB_TEXTEDIT_UNDOCHARCOUNT;
}
// discard the oldest entry in the undo list
static void stb_textedit_discard_undo(StbUndoState *state)
{
if (state->undo_point > 0) {
// if the 0th undo state has characters, clean those up
if (state->undo_rec[0].char_storage >= 0) {
int n = state->undo_rec[0].insert_length, i;
// delete n characters from all other records
state->undo_char_point -= n;
STB_TEXTEDIT_memmove(state->undo_char, state->undo_char + n, (size_t) (state->undo_char_point*sizeof(STB_TEXTEDIT_CHARTYPE)));
for (i=0; i < state->undo_point; ++i)
if (state->undo_rec[i].char_storage >= 0)
state->undo_rec[i].char_storage -= n; // @OPTIMIZE: get rid of char_storage and infer it
}
--state->undo_point;
STB_TEXTEDIT_memmove(state->undo_rec, state->undo_rec+1, (size_t) (state->undo_point*sizeof(state->undo_rec[0])));
}
}
// discard the oldest entry in the redo list--it's bad if this
// ever happens, but because undo & redo have to store the actual
// characters in different cases, the redo character buffer can
// fill up even though the undo buffer didn't
static void stb_textedit_discard_redo(StbUndoState *state)
{
int k = STB_TEXTEDIT_UNDOSTATECOUNT-1;
if (state->redo_point <= k) {
// if the k'th undo state has characters, clean those up
if (state->undo_rec[k].char_storage >= 0) {
int n = state->undo_rec[k].insert_length, i;
// move the remaining redo character data to the end of the buffer
state->redo_char_point += n;
STB_TEXTEDIT_memmove(state->undo_char + state->redo_char_point, state->undo_char + state->redo_char_point-n, (size_t) ((STB_TEXTEDIT_UNDOCHARCOUNT - state->redo_char_point)*sizeof(STB_TEXTEDIT_CHARTYPE)));
// adjust the position of all the other records to account for above memmove
for (i=state->redo_point; i < k; ++i)
if (state->undo_rec[i].char_storage >= 0)
state->undo_rec[i].char_storage += n;
}
// now move all the redo records towards the end of the buffer; the first one is at 'redo_point'
// [DEAR IMGUI]
size_t move_size = (size_t)((STB_TEXTEDIT_UNDOSTATECOUNT - state->redo_point - 1) * sizeof(state->undo_rec[0]));
const char* buf_begin = (char*)state->undo_rec; (void)buf_begin;
const char* buf_end = (char*)state->undo_rec + sizeof(state->undo_rec); (void)buf_end;
IM_ASSERT(((char*)(state->undo_rec + state->redo_point)) >= buf_begin);
IM_ASSERT(((char*)(state->undo_rec + state->redo_point + 1) + move_size) <= buf_end);
STB_TEXTEDIT_memmove(state->undo_rec + state->redo_point+1, state->undo_rec + state->redo_point, move_size);
// now move redo_point to point to the new one
++state->redo_point;
}
}
static StbUndoRecord *stb_text_create_undo_record(StbUndoState *state, int numchars)
{
// any time we create a new undo record, we discard redo
stb_textedit_flush_redo(state);
// if we have no free records, we have to make room, by sliding the
// existing records down
if (state->undo_point == STB_TEXTEDIT_UNDOSTATECOUNT)
stb_textedit_discard_undo(state);
// if the characters to store won't possibly fit in the buffer, we can't undo
if (numchars > STB_TEXTEDIT_UNDOCHARCOUNT) {
state->undo_point = 0;
state->undo_char_point = 0;
return NULL;
}
// if we don't have enough free characters in the buffer, we have to make room
while (state->undo_char_point + numchars > STB_TEXTEDIT_UNDOCHARCOUNT)
stb_textedit_discard_undo(state);
return &state->undo_rec[state->undo_point++];
}
static STB_TEXTEDIT_CHARTYPE *stb_text_createundo(StbUndoState *state, int pos, int insert_len, int delete_len)
{
StbUndoRecord *r = stb_text_create_undo_record(state, insert_len);
if (r == NULL)
return NULL;
r->where = pos;
r->insert_length = (STB_TEXTEDIT_POSITIONTYPE) insert_len;
r->delete_length = (STB_TEXTEDIT_POSITIONTYPE) delete_len;
if (insert_len == 0) {
r->char_storage = -1;
return NULL;
} else {
r->char_storage = state->undo_char_point;
state->undo_char_point += insert_len;
return &state->undo_char[r->char_storage];
}
}
static void stb_text_undo(STB_TEXTEDIT_STRING *str, STB_TexteditState *state)
{
StbUndoState *s = &state->undostate;
StbUndoRecord u, *r;
if (s->undo_point == 0)
return;
// we need to do two things: apply the undo record, and create a redo record
u = s->undo_rec[s->undo_point-1];
r = &s->undo_rec[s->redo_point-1];
r->char_storage = -1;
r->insert_length = u.delete_length;
r->delete_length = u.insert_length;
r->where = u.where;
if (u.delete_length) {
// if the undo record says to delete characters, then the redo record will
// need to re-insert the characters that get deleted, so we need to store
// them.
// there are three cases:
// there's enough room to store the characters
// characters stored for *redoing* don't leave room for redo
// characters stored for *undoing* don't leave room for redo
// if the last is true, we have to bail
if (s->undo_char_point + u.delete_length >= STB_TEXTEDIT_UNDOCHARCOUNT) {
// the undo records take up too much character space; there's no space to store the redo characters
r->insert_length = 0;
} else {
int i;
// there's definitely room to store the characters eventually
while (s->undo_char_point + u.delete_length > s->redo_char_point) {
// should never happen:
if (s->redo_point == STB_TEXTEDIT_UNDOSTATECOUNT)
return;
// there's currently not enough room, so discard a redo record
stb_textedit_discard_redo(s);
}
r = &s->undo_rec[s->redo_point-1];
r->char_storage = s->redo_char_point - u.delete_length;
s->redo_char_point = s->redo_char_point - u.delete_length;
// now save the characters
for (i=0; i < u.delete_length; ++i)
s->undo_char[r->char_storage + i] = STB_TEXTEDIT_GETCHAR(str, u.where + i);
}
// now we can carry out the deletion
STB_TEXTEDIT_DELETECHARS(str, u.where, u.delete_length);
}
// check type of recorded action:
if (u.insert_length) {
// easy case: was a deletion, so we need to insert n characters
STB_TEXTEDIT_INSERTCHARS(str, u.where, &s->undo_char[u.char_storage], u.insert_length);
s->undo_char_point -= u.insert_length;
}
state->cursor = u.where + u.insert_length;
s->undo_point--;
s->redo_point--;
}
static void stb_text_redo(STB_TEXTEDIT_STRING *str, STB_TexteditState *state)
{
StbUndoState *s = &state->undostate;
StbUndoRecord *u, r;
if (s->redo_point == STB_TEXTEDIT_UNDOSTATECOUNT)
return;
// we need to do two things: apply the redo record, and create an undo record
u = &s->undo_rec[s->undo_point];
r = s->undo_rec[s->redo_point];
// we KNOW there must be room for the undo record, because the redo record
// was derived from an undo record
u->delete_length = r.insert_length;
u->insert_length = r.delete_length;
u->where = r.where;
u->char_storage = -1;
if (r.delete_length) {
// the redo record requires us to delete characters, so the undo record
// needs to store the characters
if (s->undo_char_point + u->insert_length > s->redo_char_point) {
u->insert_length = 0;
u->delete_length = 0;
} else {
int i;
u->char_storage = s->undo_char_point;
s->undo_char_point = s->undo_char_point + u->insert_length;
// now save the characters
for (i=0; i < u->insert_length; ++i)
s->undo_char[u->char_storage + i] = STB_TEXTEDIT_GETCHAR(str, u->where + i);
}
STB_TEXTEDIT_DELETECHARS(str, r.where, r.delete_length);
}
if (r.insert_length) {
// easy case: need to insert n characters
STB_TEXTEDIT_INSERTCHARS(str, r.where, &s->undo_char[r.char_storage], r.insert_length);
s->redo_char_point += r.insert_length;
}
state->cursor = r.where + r.insert_length;
s->undo_point++;
s->redo_point++;
}
static void stb_text_makeundo_insert(STB_TexteditState *state, int where, int length)
{
stb_text_createundo(&state->undostate, where, 0, length);
}
static void stb_text_makeundo_delete(STB_TEXTEDIT_STRING *str, STB_TexteditState *state, int where, int length)
{
int i;
STB_TEXTEDIT_CHARTYPE *p = stb_text_createundo(&state->undostate, where, length, 0);
if (p) {
for (i=0; i < length; ++i)
p[i] = STB_TEXTEDIT_GETCHAR(str, where+i);
}
}
static void stb_text_makeundo_replace(STB_TEXTEDIT_STRING *str, STB_TexteditState *state, int where, int old_length, int new_length)
{
int i;
STB_TEXTEDIT_CHARTYPE *p = stb_text_createundo(&state->undostate, where, old_length, new_length);
if (p) {
for (i=0; i < old_length; ++i)
p[i] = STB_TEXTEDIT_GETCHAR(str, where+i);
}
}
// reset the state to default
static void stb_textedit_clear_state(STB_TexteditState *state, int is_single_line)
{
state->undostate.undo_point = 0;
state->undostate.undo_char_point = 0;
state->undostate.redo_point = STB_TEXTEDIT_UNDOSTATECOUNT;
state->undostate.redo_char_point = STB_TEXTEDIT_UNDOCHARCOUNT;
state->select_end = state->select_start = 0;
state->cursor = 0;
state->has_preferred_x = 0;
state->preferred_x = 0;
state->cursor_at_end_of_line = 0;
state->initialized = 1;
state->single_line = (unsigned char) is_single_line;
state->insert_mode = 0;
state->row_count_per_page = 0;
}
// API initialize
static void stb_textedit_initialize_state(STB_TexteditState *state, int is_single_line)
{
stb_textedit_clear_state(state, is_single_line);
}
#if defined(__GNUC__) || defined(__clang__)
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wcast-qual"
#endif
static int stb_textedit_paste(STB_TEXTEDIT_STRING *str, STB_TexteditState *state, STB_TEXTEDIT_CHARTYPE const *ctext, int len)
{
return stb_textedit_paste_internal(str, state, (STB_TEXTEDIT_CHARTYPE *) ctext, len);
}
#if defined(__GNUC__) || defined(__clang__)
#pragma GCC diagnostic pop
#endif
#endif//STB_TEXTEDIT_IMPLEMENTATION
/*
------------------------------------------------------------------------------
This software is available under 2 licenses -- choose whichever you prefer.
------------------------------------------------------------------------------
ALTERNATIVE A - MIT License
Copyright (c) 2017 Sean Barrett
Permission is hereby granted, free of charge, to any person obtaining a copy of
this software and associated documentation files (the "Software"), to deal in
the Software without restriction, including without limitation the rights to
use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies
of the Software, and to permit persons to whom the Software is furnished to do
so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
------------------------------------------------------------------------------
ALTERNATIVE B - Public Domain (www.unlicense.org)
This is free and unencumbered software released into the public domain.
Anyone is free to copy, modify, publish, use, compile, sell, or distribute this
software, either in source code form or as a compiled binary, for any purpose,
commercial or non-commercial, and by any means.
In jurisdictions that recognize copyright laws, the author or authors of this
software dedicate any and all copyright interest in the software to the public
domain. We make this dedication for the benefit of the public at large and to
the detriment of our heirs and successors. We intend this dedication to be an
overt act of relinquishment in perpetuity of all present and future rights to
this software under copyright law.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
------------------------------------------------------------------------------
*/
|
0 | repos/c2z/use_cases/imgui | repos/c2z/use_cases/imgui/include/LICENSE.txt | The MIT License (MIT)
Copyright (c) 2014-2023 Omar Cornut
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
|
0 | repos/c2z/use_cases/imgui | repos/c2z/use_cases/imgui/include/imstb_rectpack.h | // [DEAR IMGUI]
// This is a slightly modified version of stb_rect_pack.h 1.01.
// Grep for [DEAR IMGUI] to find the changes.
//
// stb_rect_pack.h - v1.01 - public domain - rectangle packing
// Sean Barrett 2014
//
// Useful for e.g. packing rectangular textures into an atlas.
// Does not do rotation.
//
// Before #including,
//
// #define STB_RECT_PACK_IMPLEMENTATION
//
// in the file that you want to have the implementation.
//
// Not necessarily the awesomest packing method, but better than
// the totally naive one in stb_truetype (which is primarily what
// this is meant to replace).
//
// Has only had a few tests run, may have issues.
//
// More docs to come.
//
// No memory allocations; uses qsort() and assert() from stdlib.
// Can override those by defining STBRP_SORT and STBRP_ASSERT.
//
// This library currently uses the Skyline Bottom-Left algorithm.
//
// Please note: better rectangle packers are welcome! Please
// implement them to the same API, but with a different init
// function.
//
// Credits
//
// Library
// Sean Barrett
// Minor features
// Martins Mozeiko
// github:IntellectualKitty
//
// Bugfixes / warning fixes
// Jeremy Jaussaud
// Fabian Giesen
//
// Version history:
//
// 1.01 (2021-07-11) always use large rect mode, expose STBRP__MAXVAL in public section
// 1.00 (2019-02-25) avoid small space waste; gracefully fail too-wide rectangles
// 0.99 (2019-02-07) warning fixes
// 0.11 (2017-03-03) return packing success/fail result
// 0.10 (2016-10-25) remove cast-away-const to avoid warnings
// 0.09 (2016-08-27) fix compiler warnings
// 0.08 (2015-09-13) really fix bug with empty rects (w=0 or h=0)
// 0.07 (2015-09-13) fix bug with empty rects (w=0 or h=0)
// 0.06 (2015-04-15) added STBRP_SORT to allow replacing qsort
// 0.05: added STBRP_ASSERT to allow replacing assert
// 0.04: fixed minor bug in STBRP_LARGE_RECTS support
// 0.01: initial release
//
// LICENSE
//
// See end of file for license information.
//////////////////////////////////////////////////////////////////////////////
//
// INCLUDE SECTION
//
#ifndef STB_INCLUDE_STB_RECT_PACK_H
#define STB_INCLUDE_STB_RECT_PACK_H
#define STB_RECT_PACK_VERSION 1
#ifdef STBRP_STATIC
#define STBRP_DEF static
#else
#define STBRP_DEF extern
#endif
#ifdef __cplusplus
extern "C" {
#endif
typedef struct stbrp_context stbrp_context;
typedef struct stbrp_node stbrp_node;
typedef struct stbrp_rect stbrp_rect;
typedef int stbrp_coord;
#define STBRP__MAXVAL 0x7fffffff
// Mostly for internal use, but this is the maximum supported coordinate value.
STBRP_DEF int stbrp_pack_rects (stbrp_context *context, stbrp_rect *rects, int num_rects);
// Assign packed locations to rectangles. The rectangles are of type
// 'stbrp_rect' defined below, stored in the array 'rects', and there
// are 'num_rects' many of them.
//
// Rectangles which are successfully packed have the 'was_packed' flag
// set to a non-zero value and 'x' and 'y' store the minimum location
// on each axis (i.e. bottom-left in cartesian coordinates, top-left
// if you imagine y increasing downwards). Rectangles which do not fit
// have the 'was_packed' flag set to 0.
//
// You should not try to access the 'rects' array from another thread
// while this function is running, as the function temporarily reorders
// the array while it executes.
//
// To pack into another rectangle, you need to call stbrp_init_target
// again. To continue packing into the same rectangle, you can call
// this function again. Calling this multiple times with multiple rect
// arrays will probably produce worse packing results than calling it
// a single time with the full rectangle array, but the option is
// available.
//
// The function returns 1 if all of the rectangles were successfully
// packed and 0 otherwise.
struct stbrp_rect
{
// reserved for your use:
int id;
// input:
stbrp_coord w, h;
// output:
stbrp_coord x, y;
int was_packed; // non-zero if valid packing
}; // 16 bytes, nominally
STBRP_DEF void stbrp_init_target (stbrp_context *context, int width, int height, stbrp_node *nodes, int num_nodes);
// Initialize a rectangle packer to:
// pack a rectangle that is 'width' by 'height' in dimensions
// using temporary storage provided by the array 'nodes', which is 'num_nodes' long
//
// You must call this function every time you start packing into a new target.
//
// There is no "shutdown" function. The 'nodes' memory must stay valid for
// the following stbrp_pack_rects() call (or calls), but can be freed after
// the call (or calls) finish.
//
// Note: to guarantee best results, either:
// 1. make sure 'num_nodes' >= 'width'
// or 2. call stbrp_allow_out_of_mem() defined below with 'allow_out_of_mem = 1'
//
// If you don't do either of the above things, widths will be quantized to multiples
// of small integers to guarantee the algorithm doesn't run out of temporary storage.
//
// If you do #2, then the non-quantized algorithm will be used, but the algorithm
// may run out of temporary storage and be unable to pack some rectangles.
STBRP_DEF void stbrp_setup_allow_out_of_mem (stbrp_context *context, int allow_out_of_mem);
// Optionally call this function after init but before doing any packing to
// change the handling of the out-of-temp-memory scenario, described above.
// If you call init again, this will be reset to the default (false).
STBRP_DEF void stbrp_setup_heuristic (stbrp_context *context, int heuristic);
// Optionally select which packing heuristic the library should use. Different
// heuristics will produce better/worse results for different data sets.
// If you call init again, this will be reset to the default.
enum
{
STBRP_HEURISTIC_Skyline_default=0,
STBRP_HEURISTIC_Skyline_BL_sortHeight = STBRP_HEURISTIC_Skyline_default,
STBRP_HEURISTIC_Skyline_BF_sortHeight
};
//////////////////////////////////////////////////////////////////////////////
//
// the details of the following structures don't matter to you, but they must
// be visible so you can handle the memory allocations for them
struct stbrp_node
{
stbrp_coord x,y;
stbrp_node *next;
};
struct stbrp_context
{
int width;
int height;
int align;
int init_mode;
int heuristic;
int num_nodes;
stbrp_node *active_head;
stbrp_node *free_head;
stbrp_node extra[2]; // we allocate two extra nodes so optimal user-node-count is 'width' not 'width+2'
};
#ifdef __cplusplus
}
#endif
#endif
//////////////////////////////////////////////////////////////////////////////
//
// IMPLEMENTATION SECTION
//
#ifdef STB_RECT_PACK_IMPLEMENTATION
#ifndef STBRP_SORT
#include <stdlib.h>
#define STBRP_SORT qsort
#endif
#ifndef STBRP_ASSERT
#include <assert.h>
#define STBRP_ASSERT assert
#endif
#ifdef _MSC_VER
#define STBRP__NOTUSED(v) (void)(v)
#define STBRP__CDECL __cdecl
#else
#define STBRP__NOTUSED(v) (void)sizeof(v)
#define STBRP__CDECL
#endif
enum
{
STBRP__INIT_skyline = 1
};
STBRP_DEF void stbrp_setup_heuristic(stbrp_context *context, int heuristic)
{
switch (context->init_mode) {
case STBRP__INIT_skyline:
STBRP_ASSERT(heuristic == STBRP_HEURISTIC_Skyline_BL_sortHeight || heuristic == STBRP_HEURISTIC_Skyline_BF_sortHeight);
context->heuristic = heuristic;
break;
default:
STBRP_ASSERT(0);
}
}
STBRP_DEF void stbrp_setup_allow_out_of_mem(stbrp_context *context, int allow_out_of_mem)
{
if (allow_out_of_mem)
// if it's ok to run out of memory, then don't bother aligning them;
// this gives better packing, but may fail due to OOM (even though
// the rectangles easily fit). @TODO a smarter approach would be to only
// quantize once we've hit OOM, then we could get rid of this parameter.
context->align = 1;
else {
// if it's not ok to run out of memory, then quantize the widths
// so that num_nodes is always enough nodes.
//
// I.e. num_nodes * align >= width
// align >= width / num_nodes
// align = ceil(width/num_nodes)
context->align = (context->width + context->num_nodes-1) / context->num_nodes;
}
}
STBRP_DEF void stbrp_init_target(stbrp_context *context, int width, int height, stbrp_node *nodes, int num_nodes)
{
int i;
for (i=0; i < num_nodes-1; ++i)
nodes[i].next = &nodes[i+1];
nodes[i].next = NULL;
context->init_mode = STBRP__INIT_skyline;
context->heuristic = STBRP_HEURISTIC_Skyline_default;
context->free_head = &nodes[0];
context->active_head = &context->extra[0];
context->width = width;
context->height = height;
context->num_nodes = num_nodes;
stbrp_setup_allow_out_of_mem(context, 0);
// node 0 is the full width, node 1 is the sentinel (lets us not store width explicitly)
context->extra[0].x = 0;
context->extra[0].y = 0;
context->extra[0].next = &context->extra[1];
context->extra[1].x = (stbrp_coord) width;
context->extra[1].y = (1<<30);
context->extra[1].next = NULL;
}
// find minimum y position if it starts at x1
static int stbrp__skyline_find_min_y(stbrp_context *c, stbrp_node *first, int x0, int width, int *pwaste)
{
stbrp_node *node = first;
int x1 = x0 + width;
int min_y, visited_width, waste_area;
STBRP__NOTUSED(c);
STBRP_ASSERT(first->x <= x0);
#if 0
// skip in case we're past the node
while (node->next->x <= x0)
++node;
#else
STBRP_ASSERT(node->next->x > x0); // we ended up handling this in the caller for efficiency
#endif
STBRP_ASSERT(node->x <= x0);
min_y = 0;
waste_area = 0;
visited_width = 0;
while (node->x < x1) {
if (node->y > min_y) {
// raise min_y higher.
// we've accounted for all waste up to min_y,
// but we'll now add more waste for everything we've visted
waste_area += visited_width * (node->y - min_y);
min_y = node->y;
// the first time through, visited_width might be reduced
if (node->x < x0)
visited_width += node->next->x - x0;
else
visited_width += node->next->x - node->x;
} else {
// add waste area
int under_width = node->next->x - node->x;
if (under_width + visited_width > width)
under_width = width - visited_width;
waste_area += under_width * (min_y - node->y);
visited_width += under_width;
}
node = node->next;
}
*pwaste = waste_area;
return min_y;
}
typedef struct
{
int x,y;
stbrp_node **prev_link;
} stbrp__findresult;
static stbrp__findresult stbrp__skyline_find_best_pos(stbrp_context *c, int width, int height)
{
int best_waste = (1<<30), best_x, best_y = (1 << 30);
stbrp__findresult fr;
stbrp_node **prev, *node, *tail, **best = NULL;
// align to multiple of c->align
width = (width + c->align - 1);
width -= width % c->align;
STBRP_ASSERT(width % c->align == 0);
// if it can't possibly fit, bail immediately
if (width > c->width || height > c->height) {
fr.prev_link = NULL;
fr.x = fr.y = 0;
return fr;
}
node = c->active_head;
prev = &c->active_head;
while (node->x + width <= c->width) {
int y,waste;
y = stbrp__skyline_find_min_y(c, node, node->x, width, &waste);
if (c->heuristic == STBRP_HEURISTIC_Skyline_BL_sortHeight) { // actually just want to test BL
// bottom left
if (y < best_y) {
best_y = y;
best = prev;
}
} else {
// best-fit
if (y + height <= c->height) {
// can only use it if it first vertically
if (y < best_y || (y == best_y && waste < best_waste)) {
best_y = y;
best_waste = waste;
best = prev;
}
}
}
prev = &node->next;
node = node->next;
}
best_x = (best == NULL) ? 0 : (*best)->x;
// if doing best-fit (BF), we also have to try aligning right edge to each node position
//
// e.g, if fitting
//
// ____________________
// |____________________|
//
// into
//
// | |
// | ____________|
// |____________|
//
// then right-aligned reduces waste, but bottom-left BL is always chooses left-aligned
//
// This makes BF take about 2x the time
if (c->heuristic == STBRP_HEURISTIC_Skyline_BF_sortHeight) {
tail = c->active_head;
node = c->active_head;
prev = &c->active_head;
// find first node that's admissible
while (tail->x < width)
tail = tail->next;
while (tail) {
int xpos = tail->x - width;
int y,waste;
STBRP_ASSERT(xpos >= 0);
// find the left position that matches this
while (node->next->x <= xpos) {
prev = &node->next;
node = node->next;
}
STBRP_ASSERT(node->next->x > xpos && node->x <= xpos);
y = stbrp__skyline_find_min_y(c, node, xpos, width, &waste);
if (y + height <= c->height) {
if (y <= best_y) {
if (y < best_y || waste < best_waste || (waste==best_waste && xpos < best_x)) {
best_x = xpos;
//STBRP_ASSERT(y <= best_y); [DEAR IMGUI]
best_y = y;
best_waste = waste;
best = prev;
}
}
}
tail = tail->next;
}
}
fr.prev_link = best;
fr.x = best_x;
fr.y = best_y;
return fr;
}
static stbrp__findresult stbrp__skyline_pack_rectangle(stbrp_context *context, int width, int height)
{
// find best position according to heuristic
stbrp__findresult res = stbrp__skyline_find_best_pos(context, width, height);
stbrp_node *node, *cur;
// bail if:
// 1. it failed
// 2. the best node doesn't fit (we don't always check this)
// 3. we're out of memory
if (res.prev_link == NULL || res.y + height > context->height || context->free_head == NULL) {
res.prev_link = NULL;
return res;
}
// on success, create new node
node = context->free_head;
node->x = (stbrp_coord) res.x;
node->y = (stbrp_coord) (res.y + height);
context->free_head = node->next;
// insert the new node into the right starting point, and
// let 'cur' point to the remaining nodes needing to be
// stiched back in
cur = *res.prev_link;
if (cur->x < res.x) {
// preserve the existing one, so start testing with the next one
stbrp_node *next = cur->next;
cur->next = node;
cur = next;
} else {
*res.prev_link = node;
}
// from here, traverse cur and free the nodes, until we get to one
// that shouldn't be freed
while (cur->next && cur->next->x <= res.x + width) {
stbrp_node *next = cur->next;
// move the current node to the free list
cur->next = context->free_head;
context->free_head = cur;
cur = next;
}
// stitch the list back in
node->next = cur;
if (cur->x < res.x + width)
cur->x = (stbrp_coord) (res.x + width);
#ifdef _DEBUG
cur = context->active_head;
while (cur->x < context->width) {
STBRP_ASSERT(cur->x < cur->next->x);
cur = cur->next;
}
STBRP_ASSERT(cur->next == NULL);
{
int count=0;
cur = context->active_head;
while (cur) {
cur = cur->next;
++count;
}
cur = context->free_head;
while (cur) {
cur = cur->next;
++count;
}
STBRP_ASSERT(count == context->num_nodes+2);
}
#endif
return res;
}
static int STBRP__CDECL rect_height_compare(const void *a, const void *b)
{
const stbrp_rect *p = (const stbrp_rect *) a;
const stbrp_rect *q = (const stbrp_rect *) b;
if (p->h > q->h)
return -1;
if (p->h < q->h)
return 1;
return (p->w > q->w) ? -1 : (p->w < q->w);
}
static int STBRP__CDECL rect_original_order(const void *a, const void *b)
{
const stbrp_rect *p = (const stbrp_rect *) a;
const stbrp_rect *q = (const stbrp_rect *) b;
return (p->was_packed < q->was_packed) ? -1 : (p->was_packed > q->was_packed);
}
STBRP_DEF int stbrp_pack_rects(stbrp_context *context, stbrp_rect *rects, int num_rects)
{
int i, all_rects_packed = 1;
// we use the 'was_packed' field internally to allow sorting/unsorting
for (i=0; i < num_rects; ++i) {
rects[i].was_packed = i;
}
// sort according to heuristic
STBRP_SORT(rects, num_rects, sizeof(rects[0]), rect_height_compare);
for (i=0; i < num_rects; ++i) {
if (rects[i].w == 0 || rects[i].h == 0) {
rects[i].x = rects[i].y = 0; // empty rect needs no space
} else {
stbrp__findresult fr = stbrp__skyline_pack_rectangle(context, rects[i].w, rects[i].h);
if (fr.prev_link) {
rects[i].x = (stbrp_coord) fr.x;
rects[i].y = (stbrp_coord) fr.y;
} else {
rects[i].x = rects[i].y = STBRP__MAXVAL;
}
}
}
// unsort
STBRP_SORT(rects, num_rects, sizeof(rects[0]), rect_original_order);
// set was_packed flags and all_rects_packed status
for (i=0; i < num_rects; ++i) {
rects[i].was_packed = !(rects[i].x == STBRP__MAXVAL && rects[i].y == STBRP__MAXVAL);
if (!rects[i].was_packed)
all_rects_packed = 0;
}
// return the all_rects_packed status
return all_rects_packed;
}
#endif
/*
------------------------------------------------------------------------------
This software is available under 2 licenses -- choose whichever you prefer.
------------------------------------------------------------------------------
ALTERNATIVE A - MIT License
Copyright (c) 2017 Sean Barrett
Permission is hereby granted, free of charge, to any person obtaining a copy of
this software and associated documentation files (the "Software"), to deal in
the Software without restriction, including without limitation the rights to
use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies
of the Software, and to permit persons to whom the Software is furnished to do
so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
------------------------------------------------------------------------------
ALTERNATIVE B - Public Domain (www.unlicense.org)
This is free and unencumbered software released into the public domain.
Anyone is free to copy, modify, publish, use, compile, sell, or distribute this
software, either in source code form or as a compiled binary, for any purpose,
commercial or non-commercial, and by any means.
In jurisdictions that recognize copyright laws, the author or authors of this
software dedicate any and all copyright interest in the software to the public
domain. We make this dedication for the benefit of the public at large and to
the detriment of our heirs and successors. We intend this dedication to be an
overt act of relinquishment in perpetuity of all present and future rights to
this software under copyright law.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
------------------------------------------------------------------------------
*/
|
0 | repos/c2z/use_cases/imgui | repos/c2z/use_cases/imgui/include/imgui_internal.h | // dear imgui, v1.89.5
// (internal structures/api)
// You may use this file to debug, understand or extend Dear ImGui features but we don't provide any guarantee of forward compatibility.
// To implement maths operators for ImVec2 (disabled by default to not conflict with using IM_VEC2_CLASS_EXTRA with your own math types+operators), use:
/*
#define IMGUI_DEFINE_MATH_OPERATORS
#include "imgui_internal.h"
*/
/*
Index of this file:
// [SECTION] Header mess
// [SECTION] Forward declarations
// [SECTION] Context pointer
// [SECTION] STB libraries includes
// [SECTION] Macros
// [SECTION] Generic helpers
// [SECTION] ImDrawList support
// [SECTION] Widgets support: flags, enums, data structures
// [SECTION] Inputs support
// [SECTION] Clipper support
// [SECTION] Navigation support
// [SECTION] Columns support
// [SECTION] Multi-select support
// [SECTION] Docking support
// [SECTION] Viewport support
// [SECTION] Settings support
// [SECTION] Localization support
// [SECTION] Metrics, Debug tools
// [SECTION] Generic context hooks
// [SECTION] ImGuiContext (main imgui context)
// [SECTION] ImGuiWindowTempData, ImGuiWindow
// [SECTION] Tab bar, Tab item support
// [SECTION] Table support
// [SECTION] ImGui internal API
// [SECTION] ImFontAtlas internal API
// [SECTION] Test Engine specific hooks (imgui_test_engine)
*/
#pragma once
#ifndef IMGUI_DISABLE
//-----------------------------------------------------------------------------
// [SECTION] Header mess
//-----------------------------------------------------------------------------
#ifndef IMGUI_VERSION
#include "imgui.h"
#endif
#include <stdio.h> // FILE*, sscanf
#include <stdlib.h> // NULL, malloc, free, qsort, atoi, atof
#include <math.h> // sqrtf, fabsf, fmodf, powf, floorf, ceilf, cosf, sinf
#include <limits.h> // INT_MIN, INT_MAX
// Enable SSE intrinsics if available
#if (defined __SSE__ || defined __x86_64__ || defined _M_X64 || (defined(_M_IX86_FP) && (_M_IX86_FP >= 1))) && !defined(IMGUI_DISABLE_SSE)
#define IMGUI_ENABLE_SSE
#include <immintrin.h>
#endif
// Visual Studio warnings
#ifdef _MSC_VER
#pragma warning (push)
#pragma warning (disable: 4251) // class 'xxx' needs to have dll-interface to be used by clients of struct 'xxx' // when IMGUI_API is set to__declspec(dllexport)
#pragma warning (disable: 26812) // The enum type 'xxx' is unscoped. Prefer 'enum class' over 'enum' (Enum.3). [MSVC Static Analyzer)
#pragma warning (disable: 26495) // [Static Analyzer] Variable 'XXX' is uninitialized. Always initialize a member variable (type.6).
#if defined(_MSC_VER) && _MSC_VER >= 1922 // MSVC 2019 16.2 or later
#pragma warning (disable: 5054) // operator '|': deprecated between enumerations of different types
#endif
#endif
// Clang/GCC warnings with -Weverything
#if defined(__clang__)
#pragma clang diagnostic push
#if __has_warning("-Wunknown-warning-option")
#pragma clang diagnostic ignored "-Wunknown-warning-option" // warning: unknown warning group 'xxx'
#endif
#pragma clang diagnostic ignored "-Wunknown-pragmas" // warning: unknown warning group 'xxx'
#pragma clang diagnostic ignored "-Wfloat-equal" // warning: comparing floating point with == or != is unsafe // storing and comparing against same constants ok, for ImFloorSigned()
#pragma clang diagnostic ignored "-Wunused-function" // for stb_textedit.h
#pragma clang diagnostic ignored "-Wmissing-prototypes" // for stb_textedit.h
#pragma clang diagnostic ignored "-Wold-style-cast"
#pragma clang diagnostic ignored "-Wzero-as-null-pointer-constant"
#pragma clang diagnostic ignored "-Wdouble-promotion"
#pragma clang diagnostic ignored "-Wimplicit-int-float-conversion" // warning: implicit conversion from 'xxx' to 'float' may lose precision
#pragma clang diagnostic ignored "-Wmissing-noreturn" // warning: function 'xxx' could be declared with attribute 'noreturn'
#elif defined(__GNUC__)
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wpragmas" // warning: unknown option after '#pragma GCC diagnostic' kind
#pragma GCC diagnostic ignored "-Wclass-memaccess" // [__GNUC__ >= 8] warning: 'memset/memcpy' clearing/writing an object of type 'xxxx' with no trivial copy-assignment; use assignment or value-initialization instead
#endif
// In 1.89.4, we moved the implementation of "courtesy maths operators" from imgui_internal.h in imgui.h
// As they are frequently requested, we do not want to encourage to many people using imgui_internal.h
#if defined(IMGUI_DEFINE_MATH_OPERATORS) && !defined(IMGUI_DEFINE_MATH_OPERATORS_IMPLEMENTED)
#error Please '#define IMGUI_DEFINE_MATH_OPERATORS' _BEFORE_ including imgui.h!
#endif
// Legacy defines
#ifdef IMGUI_DISABLE_FORMAT_STRING_FUNCTIONS // Renamed in 1.74
#error Use IMGUI_DISABLE_DEFAULT_FORMAT_FUNCTIONS
#endif
#ifdef IMGUI_DISABLE_MATH_FUNCTIONS // Renamed in 1.74
#error Use IMGUI_DISABLE_DEFAULT_MATH_FUNCTIONS
#endif
// Enable stb_truetype by default unless FreeType is enabled.
// You can compile with both by defining both IMGUI_ENABLE_FREETYPE and IMGUI_ENABLE_STB_TRUETYPE together.
#ifndef IMGUI_ENABLE_FREETYPE
#define IMGUI_ENABLE_STB_TRUETYPE
#endif
//-----------------------------------------------------------------------------
// [SECTION] Forward declarations
//-----------------------------------------------------------------------------
struct ImBitVector; // Store 1-bit per value
struct ImRect; // An axis-aligned rectangle (2 points)
struct ImDrawDataBuilder; // Helper to build a ImDrawData instance
struct ImDrawListSharedData; // Data shared between all ImDrawList instances
struct ImGuiColorMod; // Stacked color modifier, backup of modified data so we can restore it
struct ImGuiContext; // Main Dear ImGui context
struct ImGuiContextHook; // Hook for extensions like ImGuiTestEngine
struct ImGuiDataVarInfo; // Variable information (e.g. to avoid style variables from an enum)
struct ImGuiDataTypeInfo; // Type information associated to a ImGuiDataType enum
struct ImGuiDockContext; // Docking system context
struct ImGuiDockRequest; // Docking system dock/undock queued request
struct ImGuiDockNode; // Docking system node (hold a list of Windows OR two child dock nodes)
struct ImGuiDockNodeSettings; // Storage for a dock node in .ini file (we preserve those even if the associated dock node isn't active during the session)
struct ImGuiGroupData; // Stacked storage data for BeginGroup()/EndGroup()
struct ImGuiInputTextState; // Internal state of the currently focused/edited text input box
struct ImGuiInputTextDeactivateData;// Short term storage to backup text of a deactivating InputText() while another is stealing active id
struct ImGuiLastItemData; // Status storage for last submitted items
struct ImGuiLocEntry; // A localization entry.
struct ImGuiMenuColumns; // Simple column measurement, currently used for MenuItem() only
struct ImGuiNavItemData; // Result of a gamepad/keyboard directional navigation move query result
struct ImGuiMetricsConfig; // Storage for ShowMetricsWindow() and DebugNodeXXX() functions
struct ImGuiNextWindowData; // Storage for SetNextWindow** functions
struct ImGuiNextItemData; // Storage for SetNextItem** functions
struct ImGuiOldColumnData; // Storage data for a single column for legacy Columns() api
struct ImGuiOldColumns; // Storage data for a columns set for legacy Columns() api
struct ImGuiPopupData; // Storage for current popup stack
struct ImGuiSettingsHandler; // Storage for one type registered in the .ini file
struct ImGuiStackSizes; // Storage of stack sizes for debugging/asserting
struct ImGuiStyleMod; // Stacked style modifier, backup of modified data so we can restore it
struct ImGuiTabBar; // Storage for a tab bar
struct ImGuiTabItem; // Storage for a tab item (within a tab bar)
struct ImGuiTable; // Storage for a table
struct ImGuiTableColumn; // Storage for one column of a table
struct ImGuiTableInstanceData; // Storage for one instance of a same table
struct ImGuiTableTempData; // Temporary storage for one table (one per table in the stack), shared between tables.
struct ImGuiTableSettings; // Storage for a table .ini settings
struct ImGuiTableColumnsSettings; // Storage for a column .ini settings
struct ImGuiWindow; // Storage for one window
struct ImGuiWindowTempData; // Temporary storage for one window (that's the data which in theory we could ditch at the end of the frame, in practice we currently keep it for each window)
struct ImGuiWindowSettings; // Storage for a window .ini settings (we keep one of those even if the actual window wasn't instanced during this session)
// Enumerations
// Use your programming IDE "Go to definition" facility on the names of the center columns to find the actual flags/enum lists.
enum ImGuiLocKey : int; // -> enum ImGuiLocKey // Enum: a localization entry for translation.
typedef int ImGuiDataAuthority; // -> enum ImGuiDataAuthority_ // Enum: for storing the source authority (dock node vs window) of a field
typedef int ImGuiLayoutType; // -> enum ImGuiLayoutType_ // Enum: Horizontal or vertical
// Flags
typedef int ImGuiActivateFlags; // -> enum ImGuiActivateFlags_ // Flags: for navigation/focus function (will be for ActivateItem() later)
typedef int ImGuiDebugLogFlags; // -> enum ImGuiDebugLogFlags_ // Flags: for ShowDebugLogWindow(), g.DebugLogFlags
typedef int ImGuiInputFlags; // -> enum ImGuiInputFlags_ // Flags: for IsKeyPressed(), IsMouseClicked(), SetKeyOwner(), SetItemKeyOwner() etc.
typedef int ImGuiItemFlags; // -> enum ImGuiItemFlags_ // Flags: for PushItemFlag(), g.LastItemData.InFlags
typedef int ImGuiItemStatusFlags; // -> enum ImGuiItemStatusFlags_ // Flags: for g.LastItemData.StatusFlags
typedef int ImGuiOldColumnFlags; // -> enum ImGuiOldColumnFlags_ // Flags: for BeginColumns()
typedef int ImGuiNavHighlightFlags; // -> enum ImGuiNavHighlightFlags_ // Flags: for RenderNavHighlight()
typedef int ImGuiNavMoveFlags; // -> enum ImGuiNavMoveFlags_ // Flags: for navigation requests
typedef int ImGuiNextItemDataFlags; // -> enum ImGuiNextItemDataFlags_ // Flags: for SetNextItemXXX() functions
typedef int ImGuiNextWindowDataFlags; // -> enum ImGuiNextWindowDataFlags_// Flags: for SetNextWindowXXX() functions
typedef int ImGuiScrollFlags; // -> enum ImGuiScrollFlags_ // Flags: for ScrollToItem() and navigation requests
typedef int ImGuiSeparatorFlags; // -> enum ImGuiSeparatorFlags_ // Flags: for SeparatorEx()
typedef int ImGuiTextFlags; // -> enum ImGuiTextFlags_ // Flags: for TextEx()
typedef int ImGuiTooltipFlags; // -> enum ImGuiTooltipFlags_ // Flags: for BeginTooltipEx()
typedef void (*ImGuiErrorLogCallback)(void* user_data, const char* fmt, ...);
//-----------------------------------------------------------------------------
// [SECTION] Context pointer
// See implementation of this variable in imgui.cpp for comments and details.
//-----------------------------------------------------------------------------
#ifndef GImGui
extern IMGUI_API ImGuiContext* GImGui; // Current implicit context pointer
#endif
//-------------------------------------------------------------------------
// [SECTION] STB libraries includes
//-------------------------------------------------------------------------
namespace ImStb
{
#undef STB_TEXTEDIT_STRING
#undef STB_TEXTEDIT_CHARTYPE
#define STB_TEXTEDIT_STRING ImGuiInputTextState
#define STB_TEXTEDIT_CHARTYPE ImWchar
#define STB_TEXTEDIT_GETWIDTH_NEWLINE (-1.0f)
#define STB_TEXTEDIT_UNDOSTATECOUNT 99
#define STB_TEXTEDIT_UNDOCHARCOUNT 999
#include "imstb_textedit.h"
} // namespace ImStb
//-----------------------------------------------------------------------------
// [SECTION] Macros
//-----------------------------------------------------------------------------
// Internal Drag and Drop payload types. String starting with '_' are reserved for Dear ImGui.
#define IMGUI_PAYLOAD_TYPE_WINDOW "_IMWINDOW" // Payload == ImGuiWindow*
// Debug Printing Into TTY
// (since IMGUI_VERSION_NUM >= 18729: IMGUI_DEBUG_LOG was reworked into IMGUI_DEBUG_PRINTF (and removed framecount from it). If you were using a #define IMGUI_DEBUG_LOG please rename)
#ifndef IMGUI_DEBUG_PRINTF
#ifndef IMGUI_DISABLE_DEFAULT_FORMAT_FUNCTIONS
#define IMGUI_DEBUG_PRINTF(_FMT,...) printf(_FMT, __VA_ARGS__)
#else
#define IMGUI_DEBUG_PRINTF(_FMT,...) ((void)0)
#endif
#endif
// Debug Logging for ShowDebugLogWindow(). This is designed for relatively rare events so please don't spam.
#ifndef IMGUI_DISABLE_DEBUG_TOOLS
#define IMGUI_DEBUG_LOG(...) ImGui::DebugLog(__VA_ARGS__)
#else
#define IMGUI_DEBUG_LOG(...) ((void)0)
#endif
#define IMGUI_DEBUG_LOG_ACTIVEID(...) do { if (g.DebugLogFlags & ImGuiDebugLogFlags_EventActiveId) IMGUI_DEBUG_LOG(__VA_ARGS__); } while (0)
#define IMGUI_DEBUG_LOG_FOCUS(...) do { if (g.DebugLogFlags & ImGuiDebugLogFlags_EventFocus) IMGUI_DEBUG_LOG(__VA_ARGS__); } while (0)
#define IMGUI_DEBUG_LOG_POPUP(...) do { if (g.DebugLogFlags & ImGuiDebugLogFlags_EventPopup) IMGUI_DEBUG_LOG(__VA_ARGS__); } while (0)
#define IMGUI_DEBUG_LOG_NAV(...) do { if (g.DebugLogFlags & ImGuiDebugLogFlags_EventNav) IMGUI_DEBUG_LOG(__VA_ARGS__); } while (0)
#define IMGUI_DEBUG_LOG_SELECTION(...) do { if (g.DebugLogFlags & ImGuiDebugLogFlags_EventSelection)IMGUI_DEBUG_LOG(__VA_ARGS__); } while (0)
#define IMGUI_DEBUG_LOG_CLIPPER(...) do { if (g.DebugLogFlags & ImGuiDebugLogFlags_EventClipper) IMGUI_DEBUG_LOG(__VA_ARGS__); } while (0)
#define IMGUI_DEBUG_LOG_IO(...) do { if (g.DebugLogFlags & ImGuiDebugLogFlags_EventIO) IMGUI_DEBUG_LOG(__VA_ARGS__); } while (0)
#define IMGUI_DEBUG_LOG_DOCKING(...) do { if (g.DebugLogFlags & ImGuiDebugLogFlags_EventDocking) IMGUI_DEBUG_LOG(__VA_ARGS__); } while (0)
#define IMGUI_DEBUG_LOG_VIEWPORT(...) do { if (g.DebugLogFlags & ImGuiDebugLogFlags_EventViewport) IMGUI_DEBUG_LOG(__VA_ARGS__); } while (0)
// Static Asserts
#define IM_STATIC_ASSERT(_COND) static_assert(_COND, "")
// "Paranoid" Debug Asserts are meant to only be enabled during specific debugging/work, otherwise would slow down the code too much.
// We currently don't have many of those so the effect is currently negligible, but onward intent to add more aggressive ones in the code.
//#define IMGUI_DEBUG_PARANOID
#ifdef IMGUI_DEBUG_PARANOID
#define IM_ASSERT_PARANOID(_EXPR) IM_ASSERT(_EXPR)
#else
#define IM_ASSERT_PARANOID(_EXPR)
#endif
// Error handling
// Down the line in some frameworks/languages we would like to have a way to redirect those to the programmer and recover from more faults.
#ifndef IM_ASSERT_USER_ERROR
#define IM_ASSERT_USER_ERROR(_EXP,_MSG) IM_ASSERT((_EXP) && _MSG) // Recoverable User Error
#endif
// Misc Macros
#define IM_PI 3.14159265358979323846f
#ifdef _WIN32
#define IM_NEWLINE "\r\n" // Play it nice with Windows users (Update: since 2018-05, Notepad finally appears to support Unix-style carriage returns!)
#else
#define IM_NEWLINE "\n"
#endif
#ifndef IM_TABSIZE // Until we move this to runtime and/or add proper tab support, at least allow users to compile-time override
#define IM_TABSIZE (4)
#endif
#define IM_MEMALIGN(_OFF,_ALIGN) (((_OFF) + ((_ALIGN) - 1)) & ~((_ALIGN) - 1)) // Memory align e.g. IM_ALIGN(0,4)=0, IM_ALIGN(1,4)=4, IM_ALIGN(4,4)=4, IM_ALIGN(5,4)=8
#define IM_F32_TO_INT8_UNBOUND(_VAL) ((int)((_VAL) * 255.0f + ((_VAL)>=0 ? 0.5f : -0.5f))) // Unsaturated, for display purpose
#define IM_F32_TO_INT8_SAT(_VAL) ((int)(ImSaturate(_VAL) * 255.0f + 0.5f)) // Saturated, always output 0..255
#define IM_FLOOR(_VAL) ((float)(int)(_VAL)) // ImFloor() is not inlined in MSVC debug builds
#define IM_ROUND(_VAL) ((float)(int)((_VAL) + 0.5f)) //
// Enforce cdecl calling convention for functions called by the standard library, in case compilation settings changed the default to e.g. __vectorcall
#ifdef _MSC_VER
#define IMGUI_CDECL __cdecl
#else
#define IMGUI_CDECL
#endif
// Warnings
#if defined(_MSC_VER) && !defined(__clang__)
#define IM_MSVC_WARNING_SUPPRESS(XXXX) __pragma(warning(suppress: XXXX))
#else
#define IM_MSVC_WARNING_SUPPRESS(XXXX)
#endif
// Debug Tools
// Use 'Metrics/Debugger->Tools->Item Picker' to break into the call-stack of a specific item.
// This will call IM_DEBUG_BREAK() which you may redefine yourself. See https://github.com/scottt/debugbreak for more reference.
#ifndef IM_DEBUG_BREAK
#if defined (_MSC_VER)
#define IM_DEBUG_BREAK() __debugbreak()
#elif defined(__clang__)
#define IM_DEBUG_BREAK() __builtin_debugtrap()
#elif defined(__GNUC__) && (defined(__i386__) || defined(__x86_64__))
#define IM_DEBUG_BREAK() __asm__ volatile("int $0x03")
#elif defined(__GNUC__) && defined(__thumb__)
#define IM_DEBUG_BREAK() __asm__ volatile(".inst 0xde01")
#elif defined(__GNUC__) && defined(__arm__) && !defined(__thumb__)
#define IM_DEBUG_BREAK() __asm__ volatile(".inst 0xe7f001f0");
#else
#define IM_DEBUG_BREAK() IM_ASSERT(0) // It is expected that you define IM_DEBUG_BREAK() into something that will break nicely in a debugger!
#endif
#endif // #ifndef IM_DEBUG_BREAK
//-----------------------------------------------------------------------------
// [SECTION] Generic helpers
// Note that the ImXXX helpers functions are lower-level than ImGui functions.
// ImGui functions or the ImGui context are never called/used from other ImXXX functions.
//-----------------------------------------------------------------------------
// - Helpers: Hashing
// - Helpers: Sorting
// - Helpers: Bit manipulation
// - Helpers: String
// - Helpers: Formatting
// - Helpers: UTF-8 <> wchar conversions
// - Helpers: ImVec2/ImVec4 operators
// - Helpers: Maths
// - Helpers: Geometry
// - Helper: ImVec1
// - Helper: ImVec2ih
// - Helper: ImRect
// - Helper: ImBitArray
// - Helper: ImBitVector
// - Helper: ImSpan<>, ImSpanAllocator<>
// - Helper: ImPool<>
// - Helper: ImChunkStream<>
// - Helper: ImGuiTextIndex
//-----------------------------------------------------------------------------
// Helpers: Hashing
IMGUI_API ImGuiID ImHashData(const void* data, size_t data_size, ImGuiID seed = 0);
IMGUI_API ImGuiID ImHashStr(const char* data, size_t data_size = 0, ImGuiID seed = 0);
// Helpers: Sorting
#ifndef ImQsort
static inline void ImQsort(void* base, size_t count, size_t size_of_element, int(IMGUI_CDECL *compare_func)(void const*, void const*)) { if (count > 1) qsort(base, count, size_of_element, compare_func); }
#endif
// Helpers: Color Blending
IMGUI_API ImU32 ImAlphaBlendColors(ImU32 col_a, ImU32 col_b);
// Helpers: Bit manipulation
static inline bool ImIsPowerOfTwo(int v) { return v != 0 && (v & (v - 1)) == 0; }
static inline bool ImIsPowerOfTwo(ImU64 v) { return v != 0 && (v & (v - 1)) == 0; }
static inline int ImUpperPowerOfTwo(int v) { v--; v |= v >> 1; v |= v >> 2; v |= v >> 4; v |= v >> 8; v |= v >> 16; v++; return v; }
// Helpers: String
IMGUI_API int ImStricmp(const char* str1, const char* str2);
IMGUI_API int ImStrnicmp(const char* str1, const char* str2, size_t count);
IMGUI_API void ImStrncpy(char* dst, const char* src, size_t count);
IMGUI_API char* ImStrdup(const char* str);
IMGUI_API char* ImStrdupcpy(char* dst, size_t* p_dst_size, const char* str);
IMGUI_API const char* ImStrchrRange(const char* str_begin, const char* str_end, char c);
IMGUI_API int ImStrlenW(const ImWchar* str);
IMGUI_API const char* ImStreolRange(const char* str, const char* str_end); // End end-of-line
IMGUI_API const ImWchar*ImStrbolW(const ImWchar* buf_mid_line, const ImWchar* buf_begin); // Find beginning-of-line
IMGUI_API const char* ImStristr(const char* haystack, const char* haystack_end, const char* needle, const char* needle_end);
IMGUI_API void ImStrTrimBlanks(char* str);
IMGUI_API const char* ImStrSkipBlank(const char* str);
IM_MSVC_RUNTIME_CHECKS_OFF
static inline char ImToUpper(char c) { return (c >= 'a' && c <= 'z') ? c &= ~32 : c; }
static inline bool ImCharIsBlankA(char c) { return c == ' ' || c == '\t'; }
static inline bool ImCharIsBlankW(unsigned int c) { return c == ' ' || c == '\t' || c == 0x3000; }
IM_MSVC_RUNTIME_CHECKS_RESTORE
// Helpers: Formatting
IMGUI_API int ImFormatString(char* buf, size_t buf_size, const char* fmt, ...) IM_FMTARGS(3);
IMGUI_API int ImFormatStringV(char* buf, size_t buf_size, const char* fmt, va_list args) IM_FMTLIST(3);
IMGUI_API void ImFormatStringToTempBuffer(const char** out_buf, const char** out_buf_end, const char* fmt, ...) IM_FMTARGS(3);
IMGUI_API void ImFormatStringToTempBufferV(const char** out_buf, const char** out_buf_end, const char* fmt, va_list args) IM_FMTLIST(3);
IMGUI_API const char* ImParseFormatFindStart(const char* format);
IMGUI_API const char* ImParseFormatFindEnd(const char* format);
IMGUI_API const char* ImParseFormatTrimDecorations(const char* format, char* buf, size_t buf_size);
IMGUI_API void ImParseFormatSanitizeForPrinting(const char* fmt_in, char* fmt_out, size_t fmt_out_size);
IMGUI_API const char* ImParseFormatSanitizeForScanning(const char* fmt_in, char* fmt_out, size_t fmt_out_size);
IMGUI_API int ImParseFormatPrecision(const char* format, int default_value);
// Helpers: UTF-8 <> wchar conversions
IMGUI_API const char* ImTextCharToUtf8(char out_buf[5], unsigned int c); // return out_buf
IMGUI_API int ImTextStrToUtf8(char* out_buf, int out_buf_size, const ImWchar* in_text, const ImWchar* in_text_end); // return output UTF-8 bytes count
IMGUI_API int ImTextCharFromUtf8(unsigned int* out_char, const char* in_text, const char* in_text_end); // read one character. return input UTF-8 bytes count
IMGUI_API int ImTextStrFromUtf8(ImWchar* out_buf, int out_buf_size, const char* in_text, const char* in_text_end, const char** in_remaining = NULL); // return input UTF-8 bytes count
IMGUI_API int ImTextCountCharsFromUtf8(const char* in_text, const char* in_text_end); // return number of UTF-8 code-points (NOT bytes count)
IMGUI_API int ImTextCountUtf8BytesFromChar(const char* in_text, const char* in_text_end); // return number of bytes to express one char in UTF-8
IMGUI_API int ImTextCountUtf8BytesFromStr(const ImWchar* in_text, const ImWchar* in_text_end); // return number of bytes to express string in UTF-8
// Helpers: File System
#ifdef IMGUI_DISABLE_FILE_FUNCTIONS
#define IMGUI_DISABLE_DEFAULT_FILE_FUNCTIONS
typedef void* ImFileHandle;
static inline ImFileHandle ImFileOpen(const char*, const char*) { return NULL; }
static inline bool ImFileClose(ImFileHandle) { return false; }
static inline ImU64 ImFileGetSize(ImFileHandle) { return (ImU64)-1; }
static inline ImU64 ImFileRead(void*, ImU64, ImU64, ImFileHandle) { return 0; }
static inline ImU64 ImFileWrite(const void*, ImU64, ImU64, ImFileHandle) { return 0; }
#endif
#ifndef IMGUI_DISABLE_DEFAULT_FILE_FUNCTIONS
typedef FILE* ImFileHandle;
IMGUI_API ImFileHandle ImFileOpen(const char* filename, const char* mode);
IMGUI_API bool ImFileClose(ImFileHandle file);
IMGUI_API ImU64 ImFileGetSize(ImFileHandle file);
IMGUI_API ImU64 ImFileRead(void* data, ImU64 size, ImU64 count, ImFileHandle file);
IMGUI_API ImU64 ImFileWrite(const void* data, ImU64 size, ImU64 count, ImFileHandle file);
#else
#define IMGUI_DISABLE_TTY_FUNCTIONS // Can't use stdout, fflush if we are not using default file functions
#endif
IMGUI_API void* ImFileLoadToMemory(const char* filename, const char* mode, size_t* out_file_size = NULL, int padding_bytes = 0);
// Helpers: Maths
IM_MSVC_RUNTIME_CHECKS_OFF
// - Wrapper for standard libs functions. (Note that imgui_demo.cpp does _not_ use them to keep the code easy to copy)
#ifndef IMGUI_DISABLE_DEFAULT_MATH_FUNCTIONS
#define ImFabs(X) fabsf(X)
#define ImSqrt(X) sqrtf(X)
#define ImFmod(X, Y) fmodf((X), (Y))
#define ImCos(X) cosf(X)
#define ImSin(X) sinf(X)
#define ImAcos(X) acosf(X)
#define ImAtan2(Y, X) atan2f((Y), (X))
#define ImAtof(STR) atof(STR)
//#define ImFloorStd(X) floorf(X) // We use our own, see ImFloor() and ImFloorSigned()
#define ImCeil(X) ceilf(X)
static inline float ImPow(float x, float y) { return powf(x, y); } // DragBehaviorT/SliderBehaviorT uses ImPow with either float/double and need the precision
static inline double ImPow(double x, double y) { return pow(x, y); }
static inline float ImLog(float x) { return logf(x); } // DragBehaviorT/SliderBehaviorT uses ImLog with either float/double and need the precision
static inline double ImLog(double x) { return log(x); }
static inline int ImAbs(int x) { return x < 0 ? -x : x; }
static inline float ImAbs(float x) { return fabsf(x); }
static inline double ImAbs(double x) { return fabs(x); }
static inline float ImSign(float x) { return (x < 0.0f) ? -1.0f : (x > 0.0f) ? 1.0f : 0.0f; } // Sign operator - returns -1, 0 or 1 based on sign of argument
static inline double ImSign(double x) { return (x < 0.0) ? -1.0 : (x > 0.0) ? 1.0 : 0.0; }
#ifdef IMGUI_ENABLE_SSE
static inline float ImRsqrt(float x) { return _mm_cvtss_f32(_mm_rsqrt_ss(_mm_set_ss(x))); }
#else
static inline float ImRsqrt(float x) { return 1.0f / sqrtf(x); }
#endif
static inline double ImRsqrt(double x) { return 1.0 / sqrt(x); }
#endif
// - ImMin/ImMax/ImClamp/ImLerp/ImSwap are used by widgets which support variety of types: signed/unsigned int/long long float/double
// (Exceptionally using templates here but we could also redefine them for those types)
template<typename T> static inline T ImMin(T lhs, T rhs) { return lhs < rhs ? lhs : rhs; }
template<typename T> static inline T ImMax(T lhs, T rhs) { return lhs >= rhs ? lhs : rhs; }
template<typename T> static inline T ImClamp(T v, T mn, T mx) { return (v < mn) ? mn : (v > mx) ? mx : v; }
template<typename T> static inline T ImLerp(T a, T b, float t) { return (T)(a + (b - a) * t); }
template<typename T> static inline void ImSwap(T& a, T& b) { T tmp = a; a = b; b = tmp; }
template<typename T> static inline T ImAddClampOverflow(T a, T b, T mn, T mx) { if (b < 0 && (a < mn - b)) return mn; if (b > 0 && (a > mx - b)) return mx; return a + b; }
template<typename T> static inline T ImSubClampOverflow(T a, T b, T mn, T mx) { if (b > 0 && (a < mn + b)) return mn; if (b < 0 && (a > mx + b)) return mx; return a - b; }
// - Misc maths helpers
static inline ImVec2 ImMin(const ImVec2& lhs, const ImVec2& rhs) { return ImVec2(lhs.x < rhs.x ? lhs.x : rhs.x, lhs.y < rhs.y ? lhs.y : rhs.y); }
static inline ImVec2 ImMax(const ImVec2& lhs, const ImVec2& rhs) { return ImVec2(lhs.x >= rhs.x ? lhs.x : rhs.x, lhs.y >= rhs.y ? lhs.y : rhs.y); }
static inline ImVec2 ImClamp(const ImVec2& v, const ImVec2& mn, ImVec2 mx) { return ImVec2((v.x < mn.x) ? mn.x : (v.x > mx.x) ? mx.x : v.x, (v.y < mn.y) ? mn.y : (v.y > mx.y) ? mx.y : v.y); }
static inline ImVec2 ImLerp(const ImVec2& a, const ImVec2& b, float t) { return ImVec2(a.x + (b.x - a.x) * t, a.y + (b.y - a.y) * t); }
static inline ImVec2 ImLerp(const ImVec2& a, const ImVec2& b, const ImVec2& t) { return ImVec2(a.x + (b.x - a.x) * t.x, a.y + (b.y - a.y) * t.y); }
static inline ImVec4 ImLerp(const ImVec4& a, const ImVec4& b, float t) { return ImVec4(a.x + (b.x - a.x) * t, a.y + (b.y - a.y) * t, a.z + (b.z - a.z) * t, a.w + (b.w - a.w) * t); }
static inline float ImSaturate(float f) { return (f < 0.0f) ? 0.0f : (f > 1.0f) ? 1.0f : f; }
static inline float ImLengthSqr(const ImVec2& lhs) { return (lhs.x * lhs.x) + (lhs.y * lhs.y); }
static inline float ImLengthSqr(const ImVec4& lhs) { return (lhs.x * lhs.x) + (lhs.y * lhs.y) + (lhs.z * lhs.z) + (lhs.w * lhs.w); }
static inline float ImInvLength(const ImVec2& lhs, float fail_value) { float d = (lhs.x * lhs.x) + (lhs.y * lhs.y); if (d > 0.0f) return ImRsqrt(d); return fail_value; }
static inline float ImFloor(float f) { return (float)(int)(f); }
static inline float ImFloorSigned(float f) { return (float)((f >= 0 || (float)(int)f == f) ? (int)f : (int)f - 1); } // Decent replacement for floorf()
static inline ImVec2 ImFloor(const ImVec2& v) { return ImVec2((float)(int)(v.x), (float)(int)(v.y)); }
static inline ImVec2 ImFloorSigned(const ImVec2& v) { return ImVec2(ImFloorSigned(v.x), ImFloorSigned(v.y)); }
static inline int ImModPositive(int a, int b) { return (a + b) % b; }
static inline float ImDot(const ImVec2& a, const ImVec2& b) { return a.x * b.x + a.y * b.y; }
static inline ImVec2 ImRotate(const ImVec2& v, float cos_a, float sin_a) { return ImVec2(v.x * cos_a - v.y * sin_a, v.x * sin_a + v.y * cos_a); }
static inline float ImLinearSweep(float current, float target, float speed) { if (current < target) return ImMin(current + speed, target); if (current > target) return ImMax(current - speed, target); return current; }
static inline ImVec2 ImMul(const ImVec2& lhs, const ImVec2& rhs) { return ImVec2(lhs.x * rhs.x, lhs.y * rhs.y); }
static inline bool ImIsFloatAboveGuaranteedIntegerPrecision(float f) { return f <= -16777216 || f >= 16777216; }
static inline float ImExponentialMovingAverage(float avg, float sample, int n) { avg -= avg / n; avg += sample / n; return avg; }
IM_MSVC_RUNTIME_CHECKS_RESTORE
// Helpers: Geometry
IMGUI_API ImVec2 ImBezierCubicCalc(const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, const ImVec2& p4, float t);
IMGUI_API ImVec2 ImBezierCubicClosestPoint(const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, const ImVec2& p4, const ImVec2& p, int num_segments); // For curves with explicit number of segments
IMGUI_API ImVec2 ImBezierCubicClosestPointCasteljau(const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, const ImVec2& p4, const ImVec2& p, float tess_tol);// For auto-tessellated curves you can use tess_tol = style.CurveTessellationTol
IMGUI_API ImVec2 ImBezierQuadraticCalc(const ImVec2& p1, const ImVec2& p2, const ImVec2& p3, float t);
IMGUI_API ImVec2 ImLineClosestPoint(const ImVec2& a, const ImVec2& b, const ImVec2& p);
IMGUI_API bool ImTriangleContainsPoint(const ImVec2& a, const ImVec2& b, const ImVec2& c, const ImVec2& p);
IMGUI_API ImVec2 ImTriangleClosestPoint(const ImVec2& a, const ImVec2& b, const ImVec2& c, const ImVec2& p);
IMGUI_API void ImTriangleBarycentricCoords(const ImVec2& a, const ImVec2& b, const ImVec2& c, const ImVec2& p, float& out_u, float& out_v, float& out_w);
inline float ImTriangleArea(const ImVec2& a, const ImVec2& b, const ImVec2& c) { return ImFabs((a.x * (b.y - c.y)) + (b.x * (c.y - a.y)) + (c.x * (a.y - b.y))) * 0.5f; }
IMGUI_API ImGuiDir ImGetDirQuadrantFromDelta(float dx, float dy);
// Helper: ImVec1 (1D vector)
// (this odd construct is used to facilitate the transition between 1D and 2D, and the maintenance of some branches/patches)
IM_MSVC_RUNTIME_CHECKS_OFF
struct ImVec1
{
float x;
constexpr ImVec1() : x(0.0f) { }
constexpr ImVec1(float _x) : x(_x) { }
};
// Helper: ImVec2ih (2D vector, half-size integer, for long-term packed storage)
struct ImVec2ih
{
short x, y;
constexpr ImVec2ih() : x(0), y(0) {}
constexpr ImVec2ih(short _x, short _y) : x(_x), y(_y) {}
constexpr explicit ImVec2ih(const ImVec2& rhs) : x((short)rhs.x), y((short)rhs.y) {}
};
// Helper: ImRect (2D axis aligned bounding-box)
// NB: we can't rely on ImVec2 math operators being available here!
struct IMGUI_API ImRect
{
ImVec2 Min; // Upper-left
ImVec2 Max; // Lower-right
constexpr ImRect() : Min(0.0f, 0.0f), Max(0.0f, 0.0f) {}
constexpr ImRect(const ImVec2& min, const ImVec2& max) : Min(min), Max(max) {}
constexpr ImRect(const ImVec4& v) : Min(v.x, v.y), Max(v.z, v.w) {}
constexpr ImRect(float x1, float y1, float x2, float y2) : Min(x1, y1), Max(x2, y2) {}
ImVec2 GetCenter() const { return ImVec2((Min.x + Max.x) * 0.5f, (Min.y + Max.y) * 0.5f); }
ImVec2 GetSize() const { return ImVec2(Max.x - Min.x, Max.y - Min.y); }
float GetWidth() const { return Max.x - Min.x; }
float GetHeight() const { return Max.y - Min.y; }
float GetArea() const { return (Max.x - Min.x) * (Max.y - Min.y); }
ImVec2 GetTL() const { return Min; } // Top-left
ImVec2 GetTR() const { return ImVec2(Max.x, Min.y); } // Top-right
ImVec2 GetBL() const { return ImVec2(Min.x, Max.y); } // Bottom-left
ImVec2 GetBR() const { return Max; } // Bottom-right
bool Contains(const ImVec2& p) const { return p.x >= Min.x && p.y >= Min.y && p.x < Max.x && p.y < Max.y; }
bool Contains(const ImRect& r) const { return r.Min.x >= Min.x && r.Min.y >= Min.y && r.Max.x <= Max.x && r.Max.y <= Max.y; }
bool Overlaps(const ImRect& r) const { return r.Min.y < Max.y && r.Max.y > Min.y && r.Min.x < Max.x && r.Max.x > Min.x; }
void Add(const ImVec2& p) { if (Min.x > p.x) Min.x = p.x; if (Min.y > p.y) Min.y = p.y; if (Max.x < p.x) Max.x = p.x; if (Max.y < p.y) Max.y = p.y; }
void Add(const ImRect& r) { if (Min.x > r.Min.x) Min.x = r.Min.x; if (Min.y > r.Min.y) Min.y = r.Min.y; if (Max.x < r.Max.x) Max.x = r.Max.x; if (Max.y < r.Max.y) Max.y = r.Max.y; }
void Expand(const float amount) { Min.x -= amount; Min.y -= amount; Max.x += amount; Max.y += amount; }
void Expand(const ImVec2& amount) { Min.x -= amount.x; Min.y -= amount.y; Max.x += amount.x; Max.y += amount.y; }
void Translate(const ImVec2& d) { Min.x += d.x; Min.y += d.y; Max.x += d.x; Max.y += d.y; }
void TranslateX(float dx) { Min.x += dx; Max.x += dx; }
void TranslateY(float dy) { Min.y += dy; Max.y += dy; }
void ClipWith(const ImRect& r) { Min = ImMax(Min, r.Min); Max = ImMin(Max, r.Max); } // Simple version, may lead to an inverted rectangle, which is fine for Contains/Overlaps test but not for display.
void ClipWithFull(const ImRect& r) { Min = ImClamp(Min, r.Min, r.Max); Max = ImClamp(Max, r.Min, r.Max); } // Full version, ensure both points are fully clipped.
void Floor() { Min.x = IM_FLOOR(Min.x); Min.y = IM_FLOOR(Min.y); Max.x = IM_FLOOR(Max.x); Max.y = IM_FLOOR(Max.y); }
bool IsInverted() const { return Min.x > Max.x || Min.y > Max.y; }
ImVec4 ToVec4() const { return ImVec4(Min.x, Min.y, Max.x, Max.y); }
};
// Helper: ImBitArray
#define IM_BITARRAY_TESTBIT(_ARRAY, _N) ((_ARRAY[(_N) >> 5] & ((ImU32)1 << ((_N) & 31))) != 0) // Macro version of ImBitArrayTestBit(): ensure args have side-effect or are costly!
#define IM_BITARRAY_CLEARBIT(_ARRAY, _N) ((_ARRAY[(_N) >> 5] &= ~((ImU32)1 << ((_N) & 31)))) // Macro version of ImBitArrayClearBit(): ensure args have side-effect or are costly!
inline size_t ImBitArrayGetStorageSizeInBytes(int bitcount) { return (size_t)((bitcount + 31) >> 5) << 2; }
inline void ImBitArrayClearAllBits(ImU32* arr, int bitcount){ memset(arr, 0, ImBitArrayGetStorageSizeInBytes(bitcount)); }
inline bool ImBitArrayTestBit(const ImU32* arr, int n) { ImU32 mask = (ImU32)1 << (n & 31); return (arr[n >> 5] & mask) != 0; }
inline void ImBitArrayClearBit(ImU32* arr, int n) { ImU32 mask = (ImU32)1 << (n & 31); arr[n >> 5] &= ~mask; }
inline void ImBitArraySetBit(ImU32* arr, int n) { ImU32 mask = (ImU32)1 << (n & 31); arr[n >> 5] |= mask; }
inline void ImBitArraySetBitRange(ImU32* arr, int n, int n2) // Works on range [n..n2)
{
n2--;
while (n <= n2)
{
int a_mod = (n & 31);
int b_mod = (n2 > (n | 31) ? 31 : (n2 & 31)) + 1;
ImU32 mask = (ImU32)(((ImU64)1 << b_mod) - 1) & ~(ImU32)(((ImU64)1 << a_mod) - 1);
arr[n >> 5] |= mask;
n = (n + 32) & ~31;
}
}
typedef ImU32* ImBitArrayPtr; // Name for use in structs
// Helper: ImBitArray class (wrapper over ImBitArray functions)
// Store 1-bit per value.
template<int BITCOUNT, int OFFSET = 0>
struct ImBitArray
{
ImU32 Storage[(BITCOUNT + 31) >> 5];
ImBitArray() { ClearAllBits(); }
void ClearAllBits() { memset(Storage, 0, sizeof(Storage)); }
void SetAllBits() { memset(Storage, 255, sizeof(Storage)); }
bool TestBit(int n) const { n += OFFSET; IM_ASSERT(n >= 0 && n < BITCOUNT); return IM_BITARRAY_TESTBIT(Storage, n); }
void SetBit(int n) { n += OFFSET; IM_ASSERT(n >= 0 && n < BITCOUNT); ImBitArraySetBit(Storage, n); }
void ClearBit(int n) { n += OFFSET; IM_ASSERT(n >= 0 && n < BITCOUNT); ImBitArrayClearBit(Storage, n); }
void SetBitRange(int n, int n2) { n += OFFSET; n2 += OFFSET; IM_ASSERT(n >= 0 && n < BITCOUNT && n2 > n && n2 <= BITCOUNT); ImBitArraySetBitRange(Storage, n, n2); } // Works on range [n..n2)
bool operator[](int n) const { n += OFFSET; IM_ASSERT(n >= 0 && n < BITCOUNT); return IM_BITARRAY_TESTBIT(Storage, n); }
};
// Helper: ImBitVector
// Store 1-bit per value.
struct IMGUI_API ImBitVector
{
ImVector<ImU32> Storage;
void Create(int sz) { Storage.resize((sz + 31) >> 5); memset(Storage.Data, 0, (size_t)Storage.Size * sizeof(Storage.Data[0])); }
void Clear() { Storage.clear(); }
bool TestBit(int n) const { IM_ASSERT(n < (Storage.Size << 5)); return IM_BITARRAY_TESTBIT(Storage.Data, n); }
void SetBit(int n) { IM_ASSERT(n < (Storage.Size << 5)); ImBitArraySetBit(Storage.Data, n); }
void ClearBit(int n) { IM_ASSERT(n < (Storage.Size << 5)); ImBitArrayClearBit(Storage.Data, n); }
};
IM_MSVC_RUNTIME_CHECKS_RESTORE
// Helper: ImSpan<>
// Pointing to a span of data we don't own.
template<typename T>
struct ImSpan
{
T* Data;
T* DataEnd;
// Constructors, destructor
inline ImSpan() { Data = DataEnd = NULL; }
inline ImSpan(T* data, int size) { Data = data; DataEnd = data + size; }
inline ImSpan(T* data, T* data_end) { Data = data; DataEnd = data_end; }
inline void set(T* data, int size) { Data = data; DataEnd = data + size; }
inline void set(T* data, T* data_end) { Data = data; DataEnd = data_end; }
inline int size() const { return (int)(ptrdiff_t)(DataEnd - Data); }
inline int size_in_bytes() const { return (int)(ptrdiff_t)(DataEnd - Data) * (int)sizeof(T); }
inline T& operator[](int i) { T* p = Data + i; IM_ASSERT(p >= Data && p < DataEnd); return *p; }
inline const T& operator[](int i) const { const T* p = Data + i; IM_ASSERT(p >= Data && p < DataEnd); return *p; }
inline T* begin() { return Data; }
inline const T* begin() const { return Data; }
inline T* end() { return DataEnd; }
inline const T* end() const { return DataEnd; }
// Utilities
inline int index_from_ptr(const T* it) const { IM_ASSERT(it >= Data && it < DataEnd); const ptrdiff_t off = it - Data; return (int)off; }
};
// Helper: ImSpanAllocator<>
// Facilitate storing multiple chunks into a single large block (the "arena")
// - Usage: call Reserve() N times, allocate GetArenaSizeInBytes() worth, pass it to SetArenaBasePtr(), call GetSpan() N times to retrieve the aligned ranges.
template<int CHUNKS>
struct ImSpanAllocator
{
char* BasePtr;
int CurrOff;
int CurrIdx;
int Offsets[CHUNKS];
int Sizes[CHUNKS];
ImSpanAllocator() { memset(this, 0, sizeof(*this)); }
inline void Reserve(int n, size_t sz, int a=4) { IM_ASSERT(n == CurrIdx && n < CHUNKS); CurrOff = IM_MEMALIGN(CurrOff, a); Offsets[n] = CurrOff; Sizes[n] = (int)sz; CurrIdx++; CurrOff += (int)sz; }
inline int GetArenaSizeInBytes() { return CurrOff; }
inline void SetArenaBasePtr(void* base_ptr) { BasePtr = (char*)base_ptr; }
inline void* GetSpanPtrBegin(int n) { IM_ASSERT(n >= 0 && n < CHUNKS && CurrIdx == CHUNKS); return (void*)(BasePtr + Offsets[n]); }
inline void* GetSpanPtrEnd(int n) { IM_ASSERT(n >= 0 && n < CHUNKS && CurrIdx == CHUNKS); return (void*)(BasePtr + Offsets[n] + Sizes[n]); }
template<typename T>
inline void GetSpan(int n, ImSpan<T>* span) { span->set((T*)GetSpanPtrBegin(n), (T*)GetSpanPtrEnd(n)); }
};
// Helper: ImPool<>
// Basic keyed storage for contiguous instances, slow/amortized insertion, O(1) indexable, O(Log N) queries by ID over a dense/hot buffer,
// Honor constructor/destructor. Add/remove invalidate all pointers. Indexes have the same lifetime as the associated object.
typedef int ImPoolIdx;
template<typename T>
struct ImPool
{
ImVector<T> Buf; // Contiguous data
ImGuiStorage Map; // ID->Index
ImPoolIdx FreeIdx; // Next free idx to use
ImPoolIdx AliveCount; // Number of active/alive items (for display purpose)
ImPool() { FreeIdx = AliveCount = 0; }
~ImPool() { Clear(); }
T* GetByKey(ImGuiID key) { int idx = Map.GetInt(key, -1); return (idx != -1) ? &Buf[idx] : NULL; }
T* GetByIndex(ImPoolIdx n) { return &Buf[n]; }
ImPoolIdx GetIndex(const T* p) const { IM_ASSERT(p >= Buf.Data && p < Buf.Data + Buf.Size); return (ImPoolIdx)(p - Buf.Data); }
T* GetOrAddByKey(ImGuiID key) { int* p_idx = Map.GetIntRef(key, -1); if (*p_idx != -1) return &Buf[*p_idx]; *p_idx = FreeIdx; return Add(); }
bool Contains(const T* p) const { return (p >= Buf.Data && p < Buf.Data + Buf.Size); }
void Clear() { for (int n = 0; n < Map.Data.Size; n++) { int idx = Map.Data[n].val_i; if (idx != -1) Buf[idx].~T(); } Map.Clear(); Buf.clear(); FreeIdx = AliveCount = 0; }
T* Add() { int idx = FreeIdx; if (idx == Buf.Size) { Buf.resize(Buf.Size + 1); FreeIdx++; } else { FreeIdx = *(int*)&Buf[idx]; } IM_PLACEMENT_NEW(&Buf[idx]) T(); AliveCount++; return &Buf[idx]; }
void Remove(ImGuiID key, const T* p) { Remove(key, GetIndex(p)); }
void Remove(ImGuiID key, ImPoolIdx idx) { Buf[idx].~T(); *(int*)&Buf[idx] = FreeIdx; FreeIdx = idx; Map.SetInt(key, -1); AliveCount--; }
void Reserve(int capacity) { Buf.reserve(capacity); Map.Data.reserve(capacity); }
// To iterate a ImPool: for (int n = 0; n < pool.GetMapSize(); n++) if (T* t = pool.TryGetMapData(n)) { ... }
// Can be avoided if you know .Remove() has never been called on the pool, or AliveCount == GetMapSize()
int GetAliveCount() const { return AliveCount; } // Number of active/alive items in the pool (for display purpose)
int GetBufSize() const { return Buf.Size; }
int GetMapSize() const { return Map.Data.Size; } // It is the map we need iterate to find valid items, since we don't have "alive" storage anywhere
T* TryGetMapData(ImPoolIdx n) { int idx = Map.Data[n].val_i; if (idx == -1) return NULL; return GetByIndex(idx); }
#ifndef IMGUI_DISABLE_OBSOLETE_FUNCTIONS
int GetSize() { return GetMapSize(); } // For ImPlot: should use GetMapSize() from (IMGUI_VERSION_NUM >= 18304)
#endif
};
// Helper: ImChunkStream<>
// Build and iterate a contiguous stream of variable-sized structures.
// This is used by Settings to store persistent data while reducing allocation count.
// We store the chunk size first, and align the final size on 4 bytes boundaries.
// The tedious/zealous amount of casting is to avoid -Wcast-align warnings.
template<typename T>
struct ImChunkStream
{
ImVector<char> Buf;
void clear() { Buf.clear(); }
bool empty() const { return Buf.Size == 0; }
int size() const { return Buf.Size; }
T* alloc_chunk(size_t sz) { size_t HDR_SZ = 4; sz = IM_MEMALIGN(HDR_SZ + sz, 4u); int off = Buf.Size; Buf.resize(off + (int)sz); ((int*)(void*)(Buf.Data + off))[0] = (int)sz; return (T*)(void*)(Buf.Data + off + (int)HDR_SZ); }
T* begin() { size_t HDR_SZ = 4; if (!Buf.Data) return NULL; return (T*)(void*)(Buf.Data + HDR_SZ); }
T* next_chunk(T* p) { size_t HDR_SZ = 4; IM_ASSERT(p >= begin() && p < end()); p = (T*)(void*)((char*)(void*)p + chunk_size(p)); if (p == (T*)(void*)((char*)end() + HDR_SZ)) return (T*)0; IM_ASSERT(p < end()); return p; }
int chunk_size(const T* p) { return ((const int*)p)[-1]; }
T* end() { return (T*)(void*)(Buf.Data + Buf.Size); }
int offset_from_ptr(const T* p) { IM_ASSERT(p >= begin() && p < end()); const ptrdiff_t off = (const char*)p - Buf.Data; return (int)off; }
T* ptr_from_offset(int off) { IM_ASSERT(off >= 4 && off < Buf.Size); return (T*)(void*)(Buf.Data + off); }
void swap(ImChunkStream<T>& rhs) { rhs.Buf.swap(Buf); }
};
// Helper: ImGuiTextIndex<>
// Maintain a line index for a text buffer. This is a strong candidate to be moved into the public API.
struct ImGuiTextIndex
{
ImVector<int> LineOffsets;
int EndOffset = 0; // Because we don't own text buffer we need to maintain EndOffset (may bake in LineOffsets?)
void clear() { LineOffsets.clear(); EndOffset = 0; }
int size() { return LineOffsets.Size; }
const char* get_line_begin(const char* base, int n) { return base + LineOffsets[n]; }
const char* get_line_end(const char* base, int n) { return base + (n + 1 < LineOffsets.Size ? (LineOffsets[n + 1] - 1) : EndOffset); }
void append(const char* base, int old_size, int new_size);
};
//-----------------------------------------------------------------------------
// [SECTION] ImDrawList support
//-----------------------------------------------------------------------------
// ImDrawList: Helper function to calculate a circle's segment count given its radius and a "maximum error" value.
// Estimation of number of circle segment based on error is derived using method described in https://stackoverflow.com/a/2244088/15194693
// Number of segments (N) is calculated using equation:
// N = ceil ( pi / acos(1 - error / r) ) where r > 0, error <= r
// Our equation is significantly simpler that one in the post thanks for choosing segment that is
// perpendicular to X axis. Follow steps in the article from this starting condition and you will
// will get this result.
//
// Rendering circles with an odd number of segments, while mathematically correct will produce
// asymmetrical results on the raster grid. Therefore we're rounding N to next even number (7->8, 8->8, 9->10 etc.)
#define IM_ROUNDUP_TO_EVEN(_V) ((((_V) + 1) / 2) * 2)
#define IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_MIN 4
#define IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_MAX 512
#define IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_CALC(_RAD,_MAXERROR) ImClamp(IM_ROUNDUP_TO_EVEN((int)ImCeil(IM_PI / ImAcos(1 - ImMin((_MAXERROR), (_RAD)) / (_RAD)))), IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_MIN, IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_MAX)
// Raw equation from IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_CALC rewritten for 'r' and 'error'.
#define IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_CALC_R(_N,_MAXERROR) ((_MAXERROR) / (1 - ImCos(IM_PI / ImMax((float)(_N), IM_PI))))
#define IM_DRAWLIST_CIRCLE_AUTO_SEGMENT_CALC_ERROR(_N,_RAD) ((1 - ImCos(IM_PI / ImMax((float)(_N), IM_PI))) / (_RAD))
// ImDrawList: Lookup table size for adaptive arc drawing, cover full circle.
#ifndef IM_DRAWLIST_ARCFAST_TABLE_SIZE
#define IM_DRAWLIST_ARCFAST_TABLE_SIZE 48 // Number of samples in lookup table.
#endif
#define IM_DRAWLIST_ARCFAST_SAMPLE_MAX IM_DRAWLIST_ARCFAST_TABLE_SIZE // Sample index _PathArcToFastEx() for 360 angle.
// Data shared between all ImDrawList instances
// You may want to create your own instance of this if you want to use ImDrawList completely without ImGui. In that case, watch out for future changes to this structure.
struct IMGUI_API ImDrawListSharedData
{
ImVec2 TexUvWhitePixel; // UV of white pixel in the atlas
ImFont* Font; // Current/default font (optional, for simplified AddText overload)
float FontSize; // Current/default font size (optional, for simplified AddText overload)
float CurveTessellationTol; // Tessellation tolerance when using PathBezierCurveTo()
float CircleSegmentMaxError; // Number of circle segments to use per pixel of radius for AddCircle() etc
ImVec4 ClipRectFullscreen; // Value for PushClipRectFullscreen()
ImDrawListFlags InitialFlags; // Initial flags at the beginning of the frame (it is possible to alter flags on a per-drawlist basis afterwards)
// [Internal] Temp write buffer
ImVector<ImVec2> TempBuffer;
// [Internal] Lookup tables
ImVec2 ArcFastVtx[IM_DRAWLIST_ARCFAST_TABLE_SIZE]; // Sample points on the quarter of the circle.
float ArcFastRadiusCutoff; // Cutoff radius after which arc drawing will fallback to slower PathArcTo()
ImU8 CircleSegmentCounts[64]; // Precomputed segment count for given radius before we calculate it dynamically (to avoid calculation overhead)
const ImVec4* TexUvLines; // UV of anti-aliased lines in the atlas
ImDrawListSharedData();
void SetCircleTessellationMaxError(float max_error);
};
struct ImDrawDataBuilder
{
ImVector<ImDrawList*> Layers[2]; // Global layers for: regular, tooltip
void Clear() { for (int n = 0; n < IM_ARRAYSIZE(Layers); n++) Layers[n].resize(0); }
void ClearFreeMemory() { for (int n = 0; n < IM_ARRAYSIZE(Layers); n++) Layers[n].clear(); }
int GetDrawListCount() const { int count = 0; for (int n = 0; n < IM_ARRAYSIZE(Layers); n++) count += Layers[n].Size; return count; }
IMGUI_API void FlattenIntoSingleLayer();
};
//-----------------------------------------------------------------------------
// [SECTION] Widgets support: flags, enums, data structures
//-----------------------------------------------------------------------------
// Flags used by upcoming items
// - input: PushItemFlag() manipulates g.CurrentItemFlags, ItemAdd() calls may add extra flags.
// - output: stored in g.LastItemData.InFlags
// Current window shared by all windows.
// This is going to be exposed in imgui.h when stabilized enough.
enum ImGuiItemFlags_
{
// Controlled by user
ImGuiItemFlags_None = 0,
ImGuiItemFlags_NoTabStop = 1 << 0, // false // Disable keyboard tabbing. This is a "lighter" version of ImGuiItemFlags_NoNav.
ImGuiItemFlags_ButtonRepeat = 1 << 1, // false // Button() will return true multiple times based on io.KeyRepeatDelay and io.KeyRepeatRate settings.
ImGuiItemFlags_Disabled = 1 << 2, // false // Disable interactions but doesn't affect visuals. See BeginDisabled()/EndDisabled(). See github.com/ocornut/imgui/issues/211
ImGuiItemFlags_NoNav = 1 << 3, // false // Disable any form of focusing (keyboard/gamepad directional navigation and SetKeyboardFocusHere() calls)
ImGuiItemFlags_NoNavDefaultFocus = 1 << 4, // false // Disable item being a candidate for default focus (e.g. used by title bar items)
ImGuiItemFlags_SelectableDontClosePopup = 1 << 5, // false // Disable MenuItem/Selectable() automatically closing their popup window
ImGuiItemFlags_MixedValue = 1 << 6, // false // [BETA] Represent a mixed/indeterminate value, generally multi-selection where values differ. Currently only supported by Checkbox() (later should support all sorts of widgets)
ImGuiItemFlags_ReadOnly = 1 << 7, // false // [ALPHA] Allow hovering interactions but underlying value is not changed.
ImGuiItemFlags_NoWindowHoverableCheck = 1 << 8, // false // Disable hoverable check in ItemHoverable()
// Controlled by widget code
ImGuiItemFlags_Inputable = 1 << 10, // false // [WIP] Auto-activate input mode when tab focused. Currently only used and supported by a few items before it becomes a generic feature.
};
// Status flags for an already submitted item
// - output: stored in g.LastItemData.StatusFlags
enum ImGuiItemStatusFlags_
{
ImGuiItemStatusFlags_None = 0,
ImGuiItemStatusFlags_HoveredRect = 1 << 0, // Mouse position is within item rectangle (does NOT mean that the window is in correct z-order and can be hovered!, this is only one part of the most-common IsItemHovered test)
ImGuiItemStatusFlags_HasDisplayRect = 1 << 1, // g.LastItemData.DisplayRect is valid
ImGuiItemStatusFlags_Edited = 1 << 2, // Value exposed by item was edited in the current frame (should match the bool return value of most widgets)
ImGuiItemStatusFlags_ToggledSelection = 1 << 3, // Set when Selectable(), TreeNode() reports toggling a selection. We can't report "Selected", only state changes, in order to easily handle clipping with less issues.
ImGuiItemStatusFlags_ToggledOpen = 1 << 4, // Set when TreeNode() reports toggling their open state.
ImGuiItemStatusFlags_HasDeactivated = 1 << 5, // Set if the widget/group is able to provide data for the ImGuiItemStatusFlags_Deactivated flag.
ImGuiItemStatusFlags_Deactivated = 1 << 6, // Only valid if ImGuiItemStatusFlags_HasDeactivated is set.
ImGuiItemStatusFlags_HoveredWindow = 1 << 7, // Override the HoveredWindow test to allow cross-window hover testing.
ImGuiItemStatusFlags_FocusedByTabbing = 1 << 8, // Set when the Focusable item just got focused by Tabbing (FIXME: to be removed soon)
ImGuiItemStatusFlags_Visible = 1 << 9, // [WIP] Set when item is overlapping the current clipping rectangle (Used internally. Please don't use yet: API/system will change as we refactor Itemadd()).
// Additional status + semantic for ImGuiTestEngine
#ifdef IMGUI_ENABLE_TEST_ENGINE
ImGuiItemStatusFlags_Openable = 1 << 20, // Item is an openable (e.g. TreeNode)
ImGuiItemStatusFlags_Opened = 1 << 21, // Opened status
ImGuiItemStatusFlags_Checkable = 1 << 22, // Item is a checkable (e.g. CheckBox, MenuItem)
ImGuiItemStatusFlags_Checked = 1 << 23, // Checked status
ImGuiItemStatusFlags_Inputable = 1 << 24, // Item is a text-inputable (e.g. InputText, SliderXXX, DragXXX)
#endif
};
// Extend ImGuiInputTextFlags_
enum ImGuiInputTextFlagsPrivate_
{
// [Internal]
ImGuiInputTextFlags_Multiline = 1 << 26, // For internal use by InputTextMultiline()
ImGuiInputTextFlags_NoMarkEdited = 1 << 27, // For internal use by functions using InputText() before reformatting data
ImGuiInputTextFlags_MergedItem = 1 << 28, // For internal use by TempInputText(), will skip calling ItemAdd(). Require bounding-box to strictly match.
};
// Extend ImGuiButtonFlags_
enum ImGuiButtonFlagsPrivate_
{
ImGuiButtonFlags_PressedOnClick = 1 << 4, // return true on click (mouse down event)
ImGuiButtonFlags_PressedOnClickRelease = 1 << 5, // [Default] return true on click + release on same item <-- this is what the majority of Button are using
ImGuiButtonFlags_PressedOnClickReleaseAnywhere = 1 << 6, // return true on click + release even if the release event is not done while hovering the item
ImGuiButtonFlags_PressedOnRelease = 1 << 7, // return true on release (default requires click+release)
ImGuiButtonFlags_PressedOnDoubleClick = 1 << 8, // return true on double-click (default requires click+release)
ImGuiButtonFlags_PressedOnDragDropHold = 1 << 9, // return true when held into while we are drag and dropping another item (used by e.g. tree nodes, collapsing headers)
ImGuiButtonFlags_Repeat = 1 << 10, // hold to repeat
ImGuiButtonFlags_FlattenChildren = 1 << 11, // allow interactions even if a child window is overlapping
ImGuiButtonFlags_AllowItemOverlap = 1 << 12, // require previous frame HoveredId to either match id or be null before being usable, use along with SetItemAllowOverlap()
ImGuiButtonFlags_DontClosePopups = 1 << 13, // disable automatically closing parent popup on press // [UNUSED]
//ImGuiButtonFlags_Disabled = 1 << 14, // disable interactions -> use BeginDisabled() or ImGuiItemFlags_Disabled
ImGuiButtonFlags_AlignTextBaseLine = 1 << 15, // vertically align button to match text baseline - ButtonEx() only // FIXME: Should be removed and handled by SmallButton(), not possible currently because of DC.CursorPosPrevLine
ImGuiButtonFlags_NoKeyModifiers = 1 << 16, // disable mouse interaction if a key modifier is held
ImGuiButtonFlags_NoHoldingActiveId = 1 << 17, // don't set ActiveId while holding the mouse (ImGuiButtonFlags_PressedOnClick only)
ImGuiButtonFlags_NoNavFocus = 1 << 18, // don't override navigation focus when activated (FIXME: this is essentially used everytime an item uses ImGuiItemFlags_NoNav, but because legacy specs don't requires LastItemData to be set ButtonBehavior(), we can't poll g.LastItemData.InFlags)
ImGuiButtonFlags_NoHoveredOnFocus = 1 << 19, // don't report as hovered when nav focus is on this item
ImGuiButtonFlags_NoSetKeyOwner = 1 << 20, // don't set key/input owner on the initial click (note: mouse buttons are keys! often, the key in question will be ImGuiKey_MouseLeft!)
ImGuiButtonFlags_NoTestKeyOwner = 1 << 21, // don't test key/input owner when polling the key (note: mouse buttons are keys! often, the key in question will be ImGuiKey_MouseLeft!)
ImGuiButtonFlags_PressedOnMask_ = ImGuiButtonFlags_PressedOnClick | ImGuiButtonFlags_PressedOnClickRelease | ImGuiButtonFlags_PressedOnClickReleaseAnywhere | ImGuiButtonFlags_PressedOnRelease | ImGuiButtonFlags_PressedOnDoubleClick | ImGuiButtonFlags_PressedOnDragDropHold,
ImGuiButtonFlags_PressedOnDefault_ = ImGuiButtonFlags_PressedOnClickRelease,
};
// Extend ImGuiComboFlags_
enum ImGuiComboFlagsPrivate_
{
ImGuiComboFlags_CustomPreview = 1 << 20, // enable BeginComboPreview()
};
// Extend ImGuiSliderFlags_
enum ImGuiSliderFlagsPrivate_
{
ImGuiSliderFlags_Vertical = 1 << 20, // Should this slider be orientated vertically?
ImGuiSliderFlags_ReadOnly = 1 << 21,
};
// Extend ImGuiSelectableFlags_
enum ImGuiSelectableFlagsPrivate_
{
// NB: need to be in sync with last value of ImGuiSelectableFlags_
ImGuiSelectableFlags_NoHoldingActiveID = 1 << 20,
ImGuiSelectableFlags_SelectOnNav = 1 << 21, // (WIP) Auto-select when moved into. This is not exposed in public API as to handle multi-select and modifiers we will need user to explicitly control focus scope. May be replaced with a BeginSelection() API.
ImGuiSelectableFlags_SelectOnClick = 1 << 22, // Override button behavior to react on Click (default is Click+Release)
ImGuiSelectableFlags_SelectOnRelease = 1 << 23, // Override button behavior to react on Release (default is Click+Release)
ImGuiSelectableFlags_SpanAvailWidth = 1 << 24, // Span all avail width even if we declared less for layout purpose. FIXME: We may be able to remove this (added in 6251d379, 2bcafc86 for menus)
ImGuiSelectableFlags_SetNavIdOnHover = 1 << 25, // Set Nav/Focus ID on mouse hover (used by MenuItem)
ImGuiSelectableFlags_NoPadWithHalfSpacing = 1 << 26, // Disable padding each side with ItemSpacing * 0.5f
ImGuiSelectableFlags_NoSetKeyOwner = 1 << 27, // Don't set key/input owner on the initial click (note: mouse buttons are keys! often, the key in question will be ImGuiKey_MouseLeft!)
};
// Extend ImGuiTreeNodeFlags_
enum ImGuiTreeNodeFlagsPrivate_
{
ImGuiTreeNodeFlags_ClipLabelForTrailingButton = 1 << 20,
};
enum ImGuiSeparatorFlags_
{
ImGuiSeparatorFlags_None = 0,
ImGuiSeparatorFlags_Horizontal = 1 << 0, // Axis default to current layout type, so generally Horizontal unless e.g. in a menu bar
ImGuiSeparatorFlags_Vertical = 1 << 1,
ImGuiSeparatorFlags_SpanAllColumns = 1 << 2,
};
enum ImGuiTextFlags_
{
ImGuiTextFlags_None = 0,
ImGuiTextFlags_NoWidthForLargeClippedText = 1 << 0,
};
enum ImGuiTooltipFlags_
{
ImGuiTooltipFlags_None = 0,
ImGuiTooltipFlags_OverridePreviousTooltip = 1 << 0, // Override will clear/ignore previously submitted tooltip (defaults to append)
};
// FIXME: this is in development, not exposed/functional as a generic feature yet.
// Horizontal/Vertical enums are fixed to 0/1 so they may be used to index ImVec2
enum ImGuiLayoutType_
{
ImGuiLayoutType_Horizontal = 0,
ImGuiLayoutType_Vertical = 1
};
enum ImGuiLogType
{
ImGuiLogType_None = 0,
ImGuiLogType_TTY,
ImGuiLogType_File,
ImGuiLogType_Buffer,
ImGuiLogType_Clipboard,
};
// X/Y enums are fixed to 0/1 so they may be used to index ImVec2
enum ImGuiAxis
{
ImGuiAxis_None = -1,
ImGuiAxis_X = 0,
ImGuiAxis_Y = 1
};
enum ImGuiPlotType
{
ImGuiPlotType_Lines,
ImGuiPlotType_Histogram,
};
enum ImGuiPopupPositionPolicy
{
ImGuiPopupPositionPolicy_Default,
ImGuiPopupPositionPolicy_ComboBox,
ImGuiPopupPositionPolicy_Tooltip,
};
struct ImGuiDataVarInfo
{
ImGuiDataType Type;
ImU32 Count; // 1+
ImU32 Offset; // Offset in parent structure
void* GetVarPtr(void* parent) const { return (void*)((unsigned char*)parent + Offset); }
};
struct ImGuiDataTypeTempStorage
{
ImU8 Data[8]; // Can fit any data up to ImGuiDataType_COUNT
};
// Type information associated to one ImGuiDataType. Retrieve with DataTypeGetInfo().
struct ImGuiDataTypeInfo
{
size_t Size; // Size in bytes
const char* Name; // Short descriptive name for the type, for debugging
const char* PrintFmt; // Default printf format for the type
const char* ScanFmt; // Default scanf format for the type
};
// Extend ImGuiDataType_
enum ImGuiDataTypePrivate_
{
ImGuiDataType_String = ImGuiDataType_COUNT + 1,
ImGuiDataType_Pointer,
ImGuiDataType_ID,
};
// Stacked color modifier, backup of modified data so we can restore it
struct ImGuiColorMod
{
ImGuiCol Col;
ImVec4 BackupValue;
};
// Stacked style modifier, backup of modified data so we can restore it. Data type inferred from the variable.
struct ImGuiStyleMod
{
ImGuiStyleVar VarIdx;
union { int BackupInt[2]; float BackupFloat[2]; };
ImGuiStyleMod(ImGuiStyleVar idx, int v) { VarIdx = idx; BackupInt[0] = v; }
ImGuiStyleMod(ImGuiStyleVar idx, float v) { VarIdx = idx; BackupFloat[0] = v; }
ImGuiStyleMod(ImGuiStyleVar idx, ImVec2 v) { VarIdx = idx; BackupFloat[0] = v.x; BackupFloat[1] = v.y; }
};
// Storage data for BeginComboPreview()/EndComboPreview()
struct IMGUI_API ImGuiComboPreviewData
{
ImRect PreviewRect;
ImVec2 BackupCursorPos;
ImVec2 BackupCursorMaxPos;
ImVec2 BackupCursorPosPrevLine;
float BackupPrevLineTextBaseOffset;
ImGuiLayoutType BackupLayout;
ImGuiComboPreviewData() { memset(this, 0, sizeof(*this)); }
};
// Stacked storage data for BeginGroup()/EndGroup()
struct IMGUI_API ImGuiGroupData
{
ImGuiID WindowID;
ImVec2 BackupCursorPos;
ImVec2 BackupCursorMaxPos;
ImVec1 BackupIndent;
ImVec1 BackupGroupOffset;
ImVec2 BackupCurrLineSize;
float BackupCurrLineTextBaseOffset;
ImGuiID BackupActiveIdIsAlive;
bool BackupActiveIdPreviousFrameIsAlive;
bool BackupHoveredIdIsAlive;
bool EmitItem;
};
// Simple column measurement, currently used for MenuItem() only.. This is very short-sighted/throw-away code and NOT a generic helper.
struct IMGUI_API ImGuiMenuColumns
{
ImU32 TotalWidth;
ImU32 NextTotalWidth;
ImU16 Spacing;
ImU16 OffsetIcon; // Always zero for now
ImU16 OffsetLabel; // Offsets are locked in Update()
ImU16 OffsetShortcut;
ImU16 OffsetMark;
ImU16 Widths[4]; // Width of: Icon, Label, Shortcut, Mark (accumulators for current frame)
ImGuiMenuColumns() { memset(this, 0, sizeof(*this)); }
void Update(float spacing, bool window_reappearing);
float DeclColumns(float w_icon, float w_label, float w_shortcut, float w_mark);
void CalcNextTotalWidth(bool update_offsets);
};
// Internal temporary state for deactivating InputText() instances.
struct IMGUI_API ImGuiInputTextDeactivatedState
{
ImGuiID ID; // widget id owning the text state (which just got deactivated)
ImVector<char> TextA; // text buffer
ImGuiInputTextDeactivatedState() { memset(this, 0, sizeof(*this)); }
void ClearFreeMemory() { ID = 0; TextA.clear(); }
};
// Internal state of the currently focused/edited text input box
// For a given item ID, access with ImGui::GetInputTextState()
struct IMGUI_API ImGuiInputTextState
{
ImGuiContext* Ctx; // parent UI context (needs to be set explicitly by parent).
ImGuiID ID; // widget id owning the text state
int CurLenW, CurLenA; // we need to maintain our buffer length in both UTF-8 and wchar format. UTF-8 length is valid even if TextA is not.
ImVector<ImWchar> TextW; // edit buffer, we need to persist but can't guarantee the persistence of the user-provided buffer. so we copy into own buffer.
ImVector<char> TextA; // temporary UTF8 buffer for callbacks and other operations. this is not updated in every code-path! size=capacity.
ImVector<char> InitialTextA; // backup of end-user buffer at the time of focus (in UTF-8, unaltered)
bool TextAIsValid; // temporary UTF8 buffer is not initially valid before we make the widget active (until then we pull the data from user argument)
int BufCapacityA; // end-user buffer capacity
float ScrollX; // horizontal scrolling/offset
ImStb::STB_TexteditState Stb; // state for stb_textedit.h
float CursorAnim; // timer for cursor blink, reset on every user action so the cursor reappears immediately
bool CursorFollow; // set when we want scrolling to follow the current cursor position (not always!)
bool SelectedAllMouseLock; // after a double-click to select all, we ignore further mouse drags to update selection
bool Edited; // edited this frame
ImGuiInputTextFlags Flags; // copy of InputText() flags. may be used to check if e.g. ImGuiInputTextFlags_Password is set.
ImGuiInputTextState() { memset(this, 0, sizeof(*this)); }
void ClearText() { CurLenW = CurLenA = 0; TextW[0] = 0; TextA[0] = 0; CursorClamp(); }
void ClearFreeMemory() { TextW.clear(); TextA.clear(); InitialTextA.clear(); }
int GetUndoAvailCount() const { return Stb.undostate.undo_point; }
int GetRedoAvailCount() const { return STB_TEXTEDIT_UNDOSTATECOUNT - Stb.undostate.redo_point; }
void OnKeyPressed(int key); // Cannot be inline because we call in code in stb_textedit.h implementation
// Cursor & Selection
void CursorAnimReset() { CursorAnim = -0.30f; } // After a user-input the cursor stays on for a while without blinking
void CursorClamp() { Stb.cursor = ImMin(Stb.cursor, CurLenW); Stb.select_start = ImMin(Stb.select_start, CurLenW); Stb.select_end = ImMin(Stb.select_end, CurLenW); }
bool HasSelection() const { return Stb.select_start != Stb.select_end; }
void ClearSelection() { Stb.select_start = Stb.select_end = Stb.cursor; }
int GetCursorPos() const { return Stb.cursor; }
int GetSelectionStart() const { return Stb.select_start; }
int GetSelectionEnd() const { return Stb.select_end; }
void SelectAll() { Stb.select_start = 0; Stb.cursor = Stb.select_end = CurLenW; Stb.has_preferred_x = 0; }
};
// Storage for current popup stack
struct ImGuiPopupData
{
ImGuiID PopupId; // Set on OpenPopup()
ImGuiWindow* Window; // Resolved on BeginPopup() - may stay unresolved if user never calls OpenPopup()
ImGuiWindow* BackupNavWindow;// Set on OpenPopup(), a NavWindow that will be restored on popup close
int ParentNavLayer; // Resolved on BeginPopup(). Actually a ImGuiNavLayer type (declared down below), initialized to -1 which is not part of an enum, but serves well-enough as "not any of layers" value
int OpenFrameCount; // Set on OpenPopup()
ImGuiID OpenParentId; // Set on OpenPopup(), we need this to differentiate multiple menu sets from each others (e.g. inside menu bar vs loose menu items)
ImVec2 OpenPopupPos; // Set on OpenPopup(), preferred popup position (typically == OpenMousePos when using mouse)
ImVec2 OpenMousePos; // Set on OpenPopup(), copy of mouse position at the time of opening popup
ImGuiPopupData() { memset(this, 0, sizeof(*this)); ParentNavLayer = OpenFrameCount = -1; }
};
enum ImGuiNextWindowDataFlags_
{
ImGuiNextWindowDataFlags_None = 0,
ImGuiNextWindowDataFlags_HasPos = 1 << 0,
ImGuiNextWindowDataFlags_HasSize = 1 << 1,
ImGuiNextWindowDataFlags_HasContentSize = 1 << 2,
ImGuiNextWindowDataFlags_HasCollapsed = 1 << 3,
ImGuiNextWindowDataFlags_HasSizeConstraint = 1 << 4,
ImGuiNextWindowDataFlags_HasFocus = 1 << 5,
ImGuiNextWindowDataFlags_HasBgAlpha = 1 << 6,
ImGuiNextWindowDataFlags_HasScroll = 1 << 7,
ImGuiNextWindowDataFlags_HasViewport = 1 << 8,
ImGuiNextWindowDataFlags_HasDock = 1 << 9,
ImGuiNextWindowDataFlags_HasWindowClass = 1 << 10,
};
// Storage for SetNexWindow** functions
struct ImGuiNextWindowData
{
ImGuiNextWindowDataFlags Flags;
ImGuiCond PosCond;
ImGuiCond SizeCond;
ImGuiCond CollapsedCond;
ImGuiCond DockCond;
ImVec2 PosVal;
ImVec2 PosPivotVal;
ImVec2 SizeVal;
ImVec2 ContentSizeVal;
ImVec2 ScrollVal;
bool PosUndock;
bool CollapsedVal;
ImRect SizeConstraintRect;
ImGuiSizeCallback SizeCallback;
void* SizeCallbackUserData;
float BgAlphaVal; // Override background alpha
ImGuiID ViewportId;
ImGuiID DockId;
ImGuiWindowClass WindowClass;
ImVec2 MenuBarOffsetMinVal; // (Always on) This is not exposed publicly, so we don't clear it and it doesn't have a corresponding flag (could we? for consistency?)
ImGuiNextWindowData() { memset(this, 0, sizeof(*this)); }
inline void ClearFlags() { Flags = ImGuiNextWindowDataFlags_None; }
};
enum ImGuiNextItemDataFlags_
{
ImGuiNextItemDataFlags_None = 0,
ImGuiNextItemDataFlags_HasWidth = 1 << 0,
ImGuiNextItemDataFlags_HasOpen = 1 << 1,
};
struct ImGuiNextItemData
{
ImGuiNextItemDataFlags Flags;
float Width; // Set by SetNextItemWidth()
ImGuiID FocusScopeId; // Set by SetNextItemMultiSelectData() (!= 0 signify value has been set, so it's an alternate version of HasSelectionData, we don't use Flags for this because they are cleared too early. This is mostly used for debugging)
ImGuiCond OpenCond;
bool OpenVal; // Set by SetNextItemOpen()
ImGuiNextItemData() { memset(this, 0, sizeof(*this)); }
inline void ClearFlags() { Flags = ImGuiNextItemDataFlags_None; } // Also cleared manually by ItemAdd()!
};
// Status storage for the last submitted item
struct ImGuiLastItemData
{
ImGuiID ID;
ImGuiItemFlags InFlags; // See ImGuiItemFlags_
ImGuiItemStatusFlags StatusFlags; // See ImGuiItemStatusFlags_
ImRect Rect; // Full rectangle
ImRect NavRect; // Navigation scoring rectangle (not displayed)
ImRect DisplayRect; // Display rectangle (only if ImGuiItemStatusFlags_HasDisplayRect is set)
ImGuiLastItemData() { memset(this, 0, sizeof(*this)); }
};
struct IMGUI_API ImGuiStackSizes
{
short SizeOfIDStack;
short SizeOfColorStack;
short SizeOfStyleVarStack;
short SizeOfFontStack;
short SizeOfFocusScopeStack;
short SizeOfGroupStack;
short SizeOfItemFlagsStack;
short SizeOfBeginPopupStack;
short SizeOfDisabledStack;
ImGuiStackSizes() { memset(this, 0, sizeof(*this)); }
void SetToContextState(ImGuiContext* ctx);
void CompareWithContextState(ImGuiContext* ctx);
};
// Data saved for each window pushed into the stack
struct ImGuiWindowStackData
{
ImGuiWindow* Window;
ImGuiLastItemData ParentLastItemDataBackup;
ImGuiStackSizes StackSizesOnBegin; // Store size of various stacks for asserting
};
struct ImGuiShrinkWidthItem
{
int Index;
float Width;
float InitialWidth;
};
struct ImGuiPtrOrIndex
{
void* Ptr; // Either field can be set, not both. e.g. Dock node tab bars are loose while BeginTabBar() ones are in a pool.
int Index; // Usually index in a main pool.
ImGuiPtrOrIndex(void* ptr) { Ptr = ptr; Index = -1; }
ImGuiPtrOrIndex(int index) { Ptr = NULL; Index = index; }
};
//-----------------------------------------------------------------------------
// [SECTION] Inputs support
//-----------------------------------------------------------------------------
// Bit array for named keys
typedef ImBitArray<ImGuiKey_NamedKey_COUNT, -ImGuiKey_NamedKey_BEGIN> ImBitArrayForNamedKeys;
// [Internal] Key ranges
#define ImGuiKey_LegacyNativeKey_BEGIN 0
#define ImGuiKey_LegacyNativeKey_END 512
#define ImGuiKey_Keyboard_BEGIN (ImGuiKey_NamedKey_BEGIN)
#define ImGuiKey_Keyboard_END (ImGuiKey_GamepadStart)
#define ImGuiKey_Gamepad_BEGIN (ImGuiKey_GamepadStart)
#define ImGuiKey_Gamepad_END (ImGuiKey_GamepadRStickDown + 1)
#define ImGuiKey_Mouse_BEGIN (ImGuiKey_MouseLeft)
#define ImGuiKey_Mouse_END (ImGuiKey_MouseWheelY + 1)
#define ImGuiKey_Aliases_BEGIN (ImGuiKey_Mouse_BEGIN)
#define ImGuiKey_Aliases_END (ImGuiKey_Mouse_END)
// [Internal] Named shortcuts for Navigation
#define ImGuiKey_NavKeyboardTweakSlow ImGuiMod_Ctrl
#define ImGuiKey_NavKeyboardTweakFast ImGuiMod_Shift
#define ImGuiKey_NavGamepadTweakSlow ImGuiKey_GamepadL1
#define ImGuiKey_NavGamepadTweakFast ImGuiKey_GamepadR1
#define ImGuiKey_NavGamepadActivate ImGuiKey_GamepadFaceDown
#define ImGuiKey_NavGamepadCancel ImGuiKey_GamepadFaceRight
#define ImGuiKey_NavGamepadMenu ImGuiKey_GamepadFaceLeft
#define ImGuiKey_NavGamepadInput ImGuiKey_GamepadFaceUp
enum ImGuiInputEventType
{
ImGuiInputEventType_None = 0,
ImGuiInputEventType_MousePos,
ImGuiInputEventType_MouseWheel,
ImGuiInputEventType_MouseButton,
ImGuiInputEventType_MouseViewport,
ImGuiInputEventType_Key,
ImGuiInputEventType_Text,
ImGuiInputEventType_Focus,
ImGuiInputEventType_COUNT
};
enum ImGuiInputSource
{
ImGuiInputSource_None = 0,
ImGuiInputSource_Mouse, // Note: may be Mouse or TouchScreen or Pen. See io.MouseSource to distinguish them.
ImGuiInputSource_Keyboard,
ImGuiInputSource_Gamepad,
ImGuiInputSource_Clipboard, // Currently only used by InputText()
ImGuiInputSource_COUNT
};
// FIXME: Structures in the union below need to be declared as anonymous unions appears to be an extension?
// Using ImVec2() would fail on Clang 'union member 'MousePos' has a non-trivial default constructor'
struct ImGuiInputEventMousePos { float PosX, PosY; ImGuiMouseSource MouseSource; };
struct ImGuiInputEventMouseWheel { float WheelX, WheelY; ImGuiMouseSource MouseSource; };
struct ImGuiInputEventMouseButton { int Button; bool Down; ImGuiMouseSource MouseSource; };
struct ImGuiInputEventMouseViewport { ImGuiID HoveredViewportID; };
struct ImGuiInputEventKey { ImGuiKey Key; bool Down; float AnalogValue; };
struct ImGuiInputEventText { unsigned int Char; };
struct ImGuiInputEventAppFocused { bool Focused; };
struct ImGuiInputEvent
{
ImGuiInputEventType Type;
ImGuiInputSource Source;
ImU32 EventId; // Unique, sequential increasing integer to identify an event (if you need to correlate them to other data).
union
{
ImGuiInputEventMousePos MousePos; // if Type == ImGuiInputEventType_MousePos
ImGuiInputEventMouseWheel MouseWheel; // if Type == ImGuiInputEventType_MouseWheel
ImGuiInputEventMouseButton MouseButton; // if Type == ImGuiInputEventType_MouseButton
ImGuiInputEventMouseViewport MouseViewport; // if Type == ImGuiInputEventType_MouseViewport
ImGuiInputEventKey Key; // if Type == ImGuiInputEventType_Key
ImGuiInputEventText Text; // if Type == ImGuiInputEventType_Text
ImGuiInputEventAppFocused AppFocused; // if Type == ImGuiInputEventType_Focus
};
bool AddedByTestEngine;
ImGuiInputEvent() { memset(this, 0, sizeof(*this)); }
};
// Input function taking an 'ImGuiID owner_id' argument defaults to (ImGuiKeyOwner_Any == 0) aka don't test ownership, which matches legacy behavior.
#define ImGuiKeyOwner_Any ((ImGuiID)0) // Accept key that have an owner, UNLESS a call to SetKeyOwner() explicitly used ImGuiInputFlags_LockThisFrame or ImGuiInputFlags_LockUntilRelease.
#define ImGuiKeyOwner_None ((ImGuiID)-1) // Require key to have no owner.
typedef ImS16 ImGuiKeyRoutingIndex;
// Routing table entry (sizeof() == 16 bytes)
struct ImGuiKeyRoutingData
{
ImGuiKeyRoutingIndex NextEntryIndex;
ImU16 Mods; // Technically we'd only need 4-bits but for simplify we store ImGuiMod_ values which need 16-bits. ImGuiMod_Shortcut is already translated to Ctrl/Super.
ImU8 RoutingNextScore; // Lower is better (0: perfect score)
ImGuiID RoutingCurr;
ImGuiID RoutingNext;
ImGuiKeyRoutingData() { NextEntryIndex = -1; Mods = 0; RoutingNextScore = 255; RoutingCurr = RoutingNext = ImGuiKeyOwner_None; }
};
// Routing table: maintain a desired owner for each possible key-chord (key + mods), and setup owner in NewFrame() when mods are matching.
// Stored in main context (1 instance)
struct ImGuiKeyRoutingTable
{
ImGuiKeyRoutingIndex Index[ImGuiKey_NamedKey_COUNT]; // Index of first entry in Entries[]
ImVector<ImGuiKeyRoutingData> Entries;
ImVector<ImGuiKeyRoutingData> EntriesNext; // Double-buffer to avoid reallocation (could use a shared buffer)
ImGuiKeyRoutingTable() { Clear(); }
void Clear() { for (int n = 0; n < IM_ARRAYSIZE(Index); n++) Index[n] = -1; Entries.clear(); EntriesNext.clear(); }
};
// This extends ImGuiKeyData but only for named keys (legacy keys don't support the new features)
// Stored in main context (1 per named key). In the future it might be merged into ImGuiKeyData.
struct ImGuiKeyOwnerData
{
ImGuiID OwnerCurr;
ImGuiID OwnerNext;
bool LockThisFrame; // Reading this key requires explicit owner id (until end of frame). Set by ImGuiInputFlags_LockThisFrame.
bool LockUntilRelease; // Reading this key requires explicit owner id (until key is released). Set by ImGuiInputFlags_LockUntilRelease. When this is true LockThisFrame is always true as well.
ImGuiKeyOwnerData() { OwnerCurr = OwnerNext = ImGuiKeyOwner_None; LockThisFrame = LockUntilRelease = false; }
};
// Flags for extended versions of IsKeyPressed(), IsMouseClicked(), Shortcut(), SetKeyOwner(), SetItemKeyOwner()
// Don't mistake with ImGuiInputTextFlags! (for ImGui::InputText() function)
enum ImGuiInputFlags_
{
// Flags for IsKeyPressed(), IsMouseClicked(), Shortcut()
ImGuiInputFlags_None = 0,
ImGuiInputFlags_Repeat = 1 << 0, // Return true on successive repeats. Default for legacy IsKeyPressed(). NOT Default for legacy IsMouseClicked(). MUST BE == 1.
ImGuiInputFlags_RepeatRateDefault = 1 << 1, // Repeat rate: Regular (default)
ImGuiInputFlags_RepeatRateNavMove = 1 << 2, // Repeat rate: Fast
ImGuiInputFlags_RepeatRateNavTweak = 1 << 3, // Repeat rate: Faster
ImGuiInputFlags_RepeatRateMask_ = ImGuiInputFlags_RepeatRateDefault | ImGuiInputFlags_RepeatRateNavMove | ImGuiInputFlags_RepeatRateNavTweak,
// Flags for SetItemKeyOwner()
ImGuiInputFlags_CondHovered = 1 << 4, // Only set if item is hovered (default to both)
ImGuiInputFlags_CondActive = 1 << 5, // Only set if item is active (default to both)
ImGuiInputFlags_CondDefault_ = ImGuiInputFlags_CondHovered | ImGuiInputFlags_CondActive,
ImGuiInputFlags_CondMask_ = ImGuiInputFlags_CondHovered | ImGuiInputFlags_CondActive,
// Flags for SetKeyOwner(), SetItemKeyOwner()
ImGuiInputFlags_LockThisFrame = 1 << 6, // Access to key data will require EXPLICIT owner ID (ImGuiKeyOwner_Any/0 will NOT accepted for polling). Cleared at end of frame. This is useful to make input-owner-aware code steal keys from non-input-owner-aware code.
ImGuiInputFlags_LockUntilRelease = 1 << 7, // Access to key data will require EXPLICIT owner ID (ImGuiKeyOwner_Any/0 will NOT accepted for polling). Cleared when the key is released or at end of each frame if key is released. This is useful to make input-owner-aware code steal keys from non-input-owner-aware code.
// Routing policies for Shortcut() + low-level SetShortcutRouting()
// - The general idea is that several callers register interest in a shortcut, and only one owner gets it.
// - When a policy (other than _RouteAlways) is set, Shortcut() will register itself with SetShortcutRouting(),
// allowing the system to decide where to route the input among other route-aware calls.
// - Shortcut() uses ImGuiInputFlags_RouteFocused by default: meaning that a simple Shortcut() poll
// will register a route and only succeed when parent window is in the focus stack and if no-one
// with a higher priority is claiming the shortcut.
// - Using ImGuiInputFlags_RouteAlways is roughly equivalent to doing e.g. IsKeyPressed(key) + testing mods.
// - Priorities: GlobalHigh > Focused (when owner is active item) > Global > Focused (when focused window) > GlobalLow.
// - Can select only 1 policy among all available.
ImGuiInputFlags_RouteFocused = 1 << 8, // (Default) Register focused route: Accept inputs if window is in focus stack. Deep-most focused window takes inputs. ActiveId takes inputs over deep-most focused window.
ImGuiInputFlags_RouteGlobalLow = 1 << 9, // Register route globally (lowest priority: unless a focused window or active item registered the route) -> recommended Global priority.
ImGuiInputFlags_RouteGlobal = 1 << 10, // Register route globally (medium priority: unless an active item registered the route, e.g. CTRL+A registered by InputText).
ImGuiInputFlags_RouteGlobalHigh = 1 << 11, // Register route globally (highest priority: unlikely you need to use that: will interfere with every active items)
ImGuiInputFlags_RouteMask_ = ImGuiInputFlags_RouteFocused | ImGuiInputFlags_RouteGlobal | ImGuiInputFlags_RouteGlobalLow | ImGuiInputFlags_RouteGlobalHigh, // _Always not part of this!
ImGuiInputFlags_RouteAlways = 1 << 12, // Do not register route, poll keys directly.
ImGuiInputFlags_RouteUnlessBgFocused= 1 << 13, // Global routes will not be applied if underlying background/void is focused (== no Dear ImGui windows are focused). Useful for overlay applications.
ImGuiInputFlags_RouteExtraMask_ = ImGuiInputFlags_RouteAlways | ImGuiInputFlags_RouteUnlessBgFocused,
// [Internal] Mask of which function support which flags
ImGuiInputFlags_SupportedByIsKeyPressed = ImGuiInputFlags_Repeat | ImGuiInputFlags_RepeatRateMask_,
ImGuiInputFlags_SupportedByShortcut = ImGuiInputFlags_Repeat | ImGuiInputFlags_RepeatRateMask_ | ImGuiInputFlags_RouteMask_ | ImGuiInputFlags_RouteExtraMask_,
ImGuiInputFlags_SupportedBySetKeyOwner = ImGuiInputFlags_LockThisFrame | ImGuiInputFlags_LockUntilRelease,
ImGuiInputFlags_SupportedBySetItemKeyOwner = ImGuiInputFlags_SupportedBySetKeyOwner | ImGuiInputFlags_CondMask_,
};
//-----------------------------------------------------------------------------
// [SECTION] Clipper support
//-----------------------------------------------------------------------------
struct ImGuiListClipperRange
{
int Min;
int Max;
bool PosToIndexConvert; // Begin/End are absolute position (will be converted to indices later)
ImS8 PosToIndexOffsetMin; // Add to Min after converting to indices
ImS8 PosToIndexOffsetMax; // Add to Min after converting to indices
static ImGuiListClipperRange FromIndices(int min, int max) { ImGuiListClipperRange r = { min, max, false, 0, 0 }; return r; }
static ImGuiListClipperRange FromPositions(float y1, float y2, int off_min, int off_max) { ImGuiListClipperRange r = { (int)y1, (int)y2, true, (ImS8)off_min, (ImS8)off_max }; return r; }
};
// Temporary clipper data, buffers shared/reused between instances
struct ImGuiListClipperData
{
ImGuiListClipper* ListClipper;
float LossynessOffset;
int StepNo;
int ItemsFrozen;
ImVector<ImGuiListClipperRange> Ranges;
ImGuiListClipperData() { memset(this, 0, sizeof(*this)); }
void Reset(ImGuiListClipper* clipper) { ListClipper = clipper; StepNo = ItemsFrozen = 0; Ranges.resize(0); }
};
//-----------------------------------------------------------------------------
// [SECTION] Navigation support
//-----------------------------------------------------------------------------
enum ImGuiActivateFlags_
{
ImGuiActivateFlags_None = 0,
ImGuiActivateFlags_PreferInput = 1 << 0, // Favor activation that requires keyboard text input (e.g. for Slider/Drag). Default for Enter key.
ImGuiActivateFlags_PreferTweak = 1 << 1, // Favor activation for tweaking with arrows or gamepad (e.g. for Slider/Drag). Default for Space key and if keyboard is not used.
ImGuiActivateFlags_TryToPreserveState = 1 << 2, // Request widget to preserve state if it can (e.g. InputText will try to preserve cursor/selection)
};
// Early work-in-progress API for ScrollToItem()
enum ImGuiScrollFlags_
{
ImGuiScrollFlags_None = 0,
ImGuiScrollFlags_KeepVisibleEdgeX = 1 << 0, // If item is not visible: scroll as little as possible on X axis to bring item back into view [default for X axis]
ImGuiScrollFlags_KeepVisibleEdgeY = 1 << 1, // If item is not visible: scroll as little as possible on Y axis to bring item back into view [default for Y axis for windows that are already visible]
ImGuiScrollFlags_KeepVisibleCenterX = 1 << 2, // If item is not visible: scroll to make the item centered on X axis [rarely used]
ImGuiScrollFlags_KeepVisibleCenterY = 1 << 3, // If item is not visible: scroll to make the item centered on Y axis
ImGuiScrollFlags_AlwaysCenterX = 1 << 4, // Always center the result item on X axis [rarely used]
ImGuiScrollFlags_AlwaysCenterY = 1 << 5, // Always center the result item on Y axis [default for Y axis for appearing window)
ImGuiScrollFlags_NoScrollParent = 1 << 6, // Disable forwarding scrolling to parent window if required to keep item/rect visible (only scroll window the function was applied to).
ImGuiScrollFlags_MaskX_ = ImGuiScrollFlags_KeepVisibleEdgeX | ImGuiScrollFlags_KeepVisibleCenterX | ImGuiScrollFlags_AlwaysCenterX,
ImGuiScrollFlags_MaskY_ = ImGuiScrollFlags_KeepVisibleEdgeY | ImGuiScrollFlags_KeepVisibleCenterY | ImGuiScrollFlags_AlwaysCenterY,
};
enum ImGuiNavHighlightFlags_
{
ImGuiNavHighlightFlags_None = 0,
ImGuiNavHighlightFlags_TypeDefault = 1 << 0,
ImGuiNavHighlightFlags_TypeThin = 1 << 1,
ImGuiNavHighlightFlags_AlwaysDraw = 1 << 2, // Draw rectangular highlight if (g.NavId == id) _even_ when using the mouse.
ImGuiNavHighlightFlags_NoRounding = 1 << 3,
};
enum ImGuiNavMoveFlags_
{
ImGuiNavMoveFlags_None = 0,
ImGuiNavMoveFlags_LoopX = 1 << 0, // On failed request, restart from opposite side
ImGuiNavMoveFlags_LoopY = 1 << 1,
ImGuiNavMoveFlags_WrapX = 1 << 2, // On failed request, request from opposite side one line down (when NavDir==right) or one line up (when NavDir==left)
ImGuiNavMoveFlags_WrapY = 1 << 3, // This is not super useful but provided for completeness
ImGuiNavMoveFlags_AllowCurrentNavId = 1 << 4, // Allow scoring and considering the current NavId as a move target candidate. This is used when the move source is offset (e.g. pressing PageDown actually needs to send a Up move request, if we are pressing PageDown from the bottom-most item we need to stay in place)
ImGuiNavMoveFlags_AlsoScoreVisibleSet = 1 << 5, // Store alternate result in NavMoveResultLocalVisible that only comprise elements that are already fully visible (used by PageUp/PageDown)
ImGuiNavMoveFlags_ScrollToEdgeY = 1 << 6, // Force scrolling to min/max (used by Home/End) // FIXME-NAV: Aim to remove or reword, probably unnecessary
ImGuiNavMoveFlags_Forwarded = 1 << 7,
ImGuiNavMoveFlags_DebugNoResult = 1 << 8, // Dummy scoring for debug purpose, don't apply result
ImGuiNavMoveFlags_FocusApi = 1 << 9,
ImGuiNavMoveFlags_Tabbing = 1 << 10, // == Focus + Activate if item is Inputable + DontChangeNavHighlight
ImGuiNavMoveFlags_Activate = 1 << 11,
ImGuiNavMoveFlags_DontSetNavHighlight = 1 << 12, // Do not alter the visible state of keyboard vs mouse nav highlight
};
enum ImGuiNavLayer
{
ImGuiNavLayer_Main = 0, // Main scrolling layer
ImGuiNavLayer_Menu = 1, // Menu layer (access with Alt)
ImGuiNavLayer_COUNT
};
struct ImGuiNavItemData
{
ImGuiWindow* Window; // Init,Move // Best candidate window (result->ItemWindow->RootWindowForNav == request->Window)
ImGuiID ID; // Init,Move // Best candidate item ID
ImGuiID FocusScopeId; // Init,Move // Best candidate focus scope ID
ImRect RectRel; // Init,Move // Best candidate bounding box in window relative space
ImGuiItemFlags InFlags; // ????,Move // Best candidate item flags
float DistBox; // Move // Best candidate box distance to current NavId
float DistCenter; // Move // Best candidate center distance to current NavId
float DistAxial; // Move // Best candidate axial distance to current NavId
ImGuiNavItemData() { Clear(); }
void Clear() { Window = NULL; ID = FocusScopeId = 0; InFlags = 0; DistBox = DistCenter = DistAxial = FLT_MAX; }
};
//-----------------------------------------------------------------------------
// [SECTION] Columns support
//-----------------------------------------------------------------------------
// Flags for internal's BeginColumns(). Prefix using BeginTable() nowadays!
enum ImGuiOldColumnFlags_
{
ImGuiOldColumnFlags_None = 0,
ImGuiOldColumnFlags_NoBorder = 1 << 0, // Disable column dividers
ImGuiOldColumnFlags_NoResize = 1 << 1, // Disable resizing columns when clicking on the dividers
ImGuiOldColumnFlags_NoPreserveWidths = 1 << 2, // Disable column width preservation when adjusting columns
ImGuiOldColumnFlags_NoForceWithinWindow = 1 << 3, // Disable forcing columns to fit within window
ImGuiOldColumnFlags_GrowParentContentsSize = 1 << 4, // (WIP) Restore pre-1.51 behavior of extending the parent window contents size but _without affecting the columns width at all_. Will eventually remove.
// Obsolete names (will be removed)
#ifndef IMGUI_DISABLE_OBSOLETE_FUNCTIONS
ImGuiColumnsFlags_None = ImGuiOldColumnFlags_None,
ImGuiColumnsFlags_NoBorder = ImGuiOldColumnFlags_NoBorder,
ImGuiColumnsFlags_NoResize = ImGuiOldColumnFlags_NoResize,
ImGuiColumnsFlags_NoPreserveWidths = ImGuiOldColumnFlags_NoPreserveWidths,
ImGuiColumnsFlags_NoForceWithinWindow = ImGuiOldColumnFlags_NoForceWithinWindow,
ImGuiColumnsFlags_GrowParentContentsSize = ImGuiOldColumnFlags_GrowParentContentsSize,
#endif
};
struct ImGuiOldColumnData
{
float OffsetNorm; // Column start offset, normalized 0.0 (far left) -> 1.0 (far right)
float OffsetNormBeforeResize;
ImGuiOldColumnFlags Flags; // Not exposed
ImRect ClipRect;
ImGuiOldColumnData() { memset(this, 0, sizeof(*this)); }
};
struct ImGuiOldColumns
{
ImGuiID ID;
ImGuiOldColumnFlags Flags;
bool IsFirstFrame;
bool IsBeingResized;
int Current;
int Count;
float OffMinX, OffMaxX; // Offsets from HostWorkRect.Min.x
float LineMinY, LineMaxY;
float HostCursorPosY; // Backup of CursorPos at the time of BeginColumns()
float HostCursorMaxPosX; // Backup of CursorMaxPos at the time of BeginColumns()
ImRect HostInitialClipRect; // Backup of ClipRect at the time of BeginColumns()
ImRect HostBackupClipRect; // Backup of ClipRect during PushColumnsBackground()/PopColumnsBackground()
ImRect HostBackupParentWorkRect;//Backup of WorkRect at the time of BeginColumns()
ImVector<ImGuiOldColumnData> Columns;
ImDrawListSplitter Splitter;
ImGuiOldColumns() { memset(this, 0, sizeof(*this)); }
};
//-----------------------------------------------------------------------------
// [SECTION] Multi-select support
//-----------------------------------------------------------------------------
#ifdef IMGUI_HAS_MULTI_SELECT
// <this is filled in 'range_select' branch>
#endif // #ifdef IMGUI_HAS_MULTI_SELECT
//-----------------------------------------------------------------------------
// [SECTION] Docking support
//-----------------------------------------------------------------------------
#define DOCKING_HOST_DRAW_CHANNEL_BG 0 // Dock host: background fill
#define DOCKING_HOST_DRAW_CHANNEL_FG 1 // Dock host: decorations and contents
#ifdef IMGUI_HAS_DOCK
// Extend ImGuiDockNodeFlags_
enum ImGuiDockNodeFlagsPrivate_
{
// [Internal]
ImGuiDockNodeFlags_DockSpace = 1 << 10, // Local, Saved // A dockspace is a node that occupy space within an existing user window. Otherwise the node is floating and create its own window.
ImGuiDockNodeFlags_CentralNode = 1 << 11, // Local, Saved // The central node has 2 main properties: stay visible when empty, only use "remaining" spaces from its neighbor.
ImGuiDockNodeFlags_NoTabBar = 1 << 12, // Local, Saved // Tab bar is completely unavailable. No triangle in the corner to enable it back.
ImGuiDockNodeFlags_HiddenTabBar = 1 << 13, // Local, Saved // Tab bar is hidden, with a triangle in the corner to show it again (NB: actual tab-bar instance may be destroyed as this is only used for single-window tab bar)
ImGuiDockNodeFlags_NoWindowMenuButton = 1 << 14, // Local, Saved // Disable window/docking menu (that one that appears instead of the collapse button)
ImGuiDockNodeFlags_NoCloseButton = 1 << 15, // Local, Saved //
ImGuiDockNodeFlags_NoDocking = 1 << 16, // Local, Saved // Disable any form of docking in this dockspace or individual node. (On a whole dockspace, this pretty much defeat the purpose of using a dockspace at all). Note: when turned on, existing docked nodes will be preserved.
ImGuiDockNodeFlags_NoDockingSplitMe = 1 << 17, // [EXPERIMENTAL] Prevent another window/node from splitting this node.
ImGuiDockNodeFlags_NoDockingSplitOther = 1 << 18, // [EXPERIMENTAL] Prevent this node from splitting another window/node.
ImGuiDockNodeFlags_NoDockingOverMe = 1 << 19, // [EXPERIMENTAL] Prevent another window/node to be docked over this node.
ImGuiDockNodeFlags_NoDockingOverOther = 1 << 20, // [EXPERIMENTAL] Prevent this node to be docked over another window or non-empty node.
ImGuiDockNodeFlags_NoDockingOverEmpty = 1 << 21, // [EXPERIMENTAL] Prevent this node to be docked over an empty node (e.g. DockSpace with no other windows)
ImGuiDockNodeFlags_NoResizeX = 1 << 22, // [EXPERIMENTAL]
ImGuiDockNodeFlags_NoResizeY = 1 << 23, // [EXPERIMENTAL]
ImGuiDockNodeFlags_SharedFlagsInheritMask_ = ~0,
ImGuiDockNodeFlags_NoResizeFlagsMask_ = ImGuiDockNodeFlags_NoResize | ImGuiDockNodeFlags_NoResizeX | ImGuiDockNodeFlags_NoResizeY,
ImGuiDockNodeFlags_LocalFlagsMask_ = ImGuiDockNodeFlags_NoSplit | ImGuiDockNodeFlags_NoResizeFlagsMask_ | ImGuiDockNodeFlags_AutoHideTabBar | ImGuiDockNodeFlags_DockSpace | ImGuiDockNodeFlags_CentralNode | ImGuiDockNodeFlags_NoTabBar | ImGuiDockNodeFlags_HiddenTabBar | ImGuiDockNodeFlags_NoWindowMenuButton | ImGuiDockNodeFlags_NoCloseButton | ImGuiDockNodeFlags_NoDocking,
ImGuiDockNodeFlags_LocalFlagsTransferMask_ = ImGuiDockNodeFlags_LocalFlagsMask_ & ~ImGuiDockNodeFlags_DockSpace, // When splitting those flags are moved to the inheriting child, never duplicated
ImGuiDockNodeFlags_SavedFlagsMask_ = ImGuiDockNodeFlags_NoResizeFlagsMask_ | ImGuiDockNodeFlags_DockSpace | ImGuiDockNodeFlags_CentralNode | ImGuiDockNodeFlags_NoTabBar | ImGuiDockNodeFlags_HiddenTabBar | ImGuiDockNodeFlags_NoWindowMenuButton | ImGuiDockNodeFlags_NoCloseButton | ImGuiDockNodeFlags_NoDocking
};
// Store the source authority (dock node vs window) of a field
enum ImGuiDataAuthority_
{
ImGuiDataAuthority_Auto,
ImGuiDataAuthority_DockNode,
ImGuiDataAuthority_Window,
};
enum ImGuiDockNodeState
{
ImGuiDockNodeState_Unknown,
ImGuiDockNodeState_HostWindowHiddenBecauseSingleWindow,
ImGuiDockNodeState_HostWindowHiddenBecauseWindowsAreResizing,
ImGuiDockNodeState_HostWindowVisible,
};
// sizeof() 156~192
struct IMGUI_API ImGuiDockNode
{
ImGuiID ID;
ImGuiDockNodeFlags SharedFlags; // (Write) Flags shared by all nodes of a same dockspace hierarchy (inherited from the root node)
ImGuiDockNodeFlags LocalFlags; // (Write) Flags specific to this node
ImGuiDockNodeFlags LocalFlagsInWindows; // (Write) Flags specific to this node, applied from windows
ImGuiDockNodeFlags MergedFlags; // (Read) Effective flags (== SharedFlags | LocalFlagsInNode | LocalFlagsInWindows)
ImGuiDockNodeState State;
ImGuiDockNode* ParentNode;
ImGuiDockNode* ChildNodes[2]; // [Split node only] Child nodes (left/right or top/bottom). Consider switching to an array.
ImVector<ImGuiWindow*> Windows; // Note: unordered list! Iterate TabBar->Tabs for user-order.
ImGuiTabBar* TabBar;
ImVec2 Pos; // Current position
ImVec2 Size; // Current size
ImVec2 SizeRef; // [Split node only] Last explicitly written-to size (overridden when using a splitter affecting the node), used to calculate Size.
ImGuiAxis SplitAxis; // [Split node only] Split axis (X or Y)
ImGuiWindowClass WindowClass; // [Root node only]
ImU32 LastBgColor;
ImGuiWindow* HostWindow;
ImGuiWindow* VisibleWindow; // Generally point to window which is ID is == SelectedTabID, but when CTRL+Tabbing this can be a different window.
ImGuiDockNode* CentralNode; // [Root node only] Pointer to central node.
ImGuiDockNode* OnlyNodeWithWindows; // [Root node only] Set when there is a single visible node within the hierarchy.
int CountNodeWithWindows; // [Root node only]
int LastFrameAlive; // Last frame number the node was updated or kept alive explicitly with DockSpace() + ImGuiDockNodeFlags_KeepAliveOnly
int LastFrameActive; // Last frame number the node was updated.
int LastFrameFocused; // Last frame number the node was focused.
ImGuiID LastFocusedNodeId; // [Root node only] Which of our child docking node (any ancestor in the hierarchy) was last focused.
ImGuiID SelectedTabId; // [Leaf node only] Which of our tab/window is selected.
ImGuiID WantCloseTabId; // [Leaf node only] Set when closing a specific tab/window.
ImGuiDataAuthority AuthorityForPos :3;
ImGuiDataAuthority AuthorityForSize :3;
ImGuiDataAuthority AuthorityForViewport :3;
bool IsVisible :1; // Set to false when the node is hidden (usually disabled as it has no active window)
bool IsFocused :1;
bool IsBgDrawnThisFrame :1;
bool HasCloseButton :1; // Provide space for a close button (if any of the docked window has one). Note that button may be hidden on window without one.
bool HasWindowMenuButton :1;
bool HasCentralNodeChild :1;
bool WantCloseAll :1; // Set when closing all tabs at once.
bool WantLockSizeOnce :1;
bool WantMouseMove :1; // After a node extraction we need to transition toward moving the newly created host window
bool WantHiddenTabBarUpdate :1;
bool WantHiddenTabBarToggle :1;
ImGuiDockNode(ImGuiID id);
~ImGuiDockNode();
bool IsRootNode() const { return ParentNode == NULL; }
bool IsDockSpace() const { return (MergedFlags & ImGuiDockNodeFlags_DockSpace) != 0; }
bool IsFloatingNode() const { return ParentNode == NULL && (MergedFlags & ImGuiDockNodeFlags_DockSpace) == 0; }
bool IsCentralNode() const { return (MergedFlags & ImGuiDockNodeFlags_CentralNode) != 0; }
bool IsHiddenTabBar() const { return (MergedFlags & ImGuiDockNodeFlags_HiddenTabBar) != 0; } // Hidden tab bar can be shown back by clicking the small triangle
bool IsNoTabBar() const { return (MergedFlags & ImGuiDockNodeFlags_NoTabBar) != 0; } // Never show a tab bar
bool IsSplitNode() const { return ChildNodes[0] != NULL; }
bool IsLeafNode() const { return ChildNodes[0] == NULL; }
bool IsEmpty() const { return ChildNodes[0] == NULL && Windows.Size == 0; }
ImRect Rect() const { return ImRect(Pos.x, Pos.y, Pos.x + Size.x, Pos.y + Size.y); }
void SetLocalFlags(ImGuiDockNodeFlags flags) { LocalFlags = flags; UpdateMergedFlags(); }
void UpdateMergedFlags() { MergedFlags = SharedFlags | LocalFlags | LocalFlagsInWindows; }
};
// List of colors that are stored at the time of Begin() into Docked Windows.
// We currently store the packed colors in a simple array window->DockStyle.Colors[].
// A better solution may involve appending into a log of colors in ImGuiContext + store offsets into those arrays in ImGuiWindow,
// but it would be more complex as we'd need to double-buffer both as e.g. drop target may refer to window from last frame.
enum ImGuiWindowDockStyleCol
{
ImGuiWindowDockStyleCol_Text,
ImGuiWindowDockStyleCol_Tab,
ImGuiWindowDockStyleCol_TabHovered,
ImGuiWindowDockStyleCol_TabActive,
ImGuiWindowDockStyleCol_TabUnfocused,
ImGuiWindowDockStyleCol_TabUnfocusedActive,
ImGuiWindowDockStyleCol_COUNT
};
struct ImGuiWindowDockStyle
{
ImU32 Colors[ImGuiWindowDockStyleCol_COUNT];
};
struct ImGuiDockContext
{
ImGuiStorage Nodes; // Map ID -> ImGuiDockNode*: Active nodes
ImVector<ImGuiDockRequest> Requests;
ImVector<ImGuiDockNodeSettings> NodesSettings;
bool WantFullRebuild;
ImGuiDockContext() { memset(this, 0, sizeof(*this)); }
};
#endif // #ifdef IMGUI_HAS_DOCK
//-----------------------------------------------------------------------------
// [SECTION] Viewport support
//-----------------------------------------------------------------------------
// ImGuiViewport Private/Internals fields (cardinal sin: we are using inheritance!)
// Every instance of ImGuiViewport is in fact a ImGuiViewportP.
struct ImGuiViewportP : public ImGuiViewport
{
ImGuiWindow* Window; // Set when the viewport is owned by a window (and ImGuiViewportFlags_CanHostOtherWindows is NOT set)
int Idx;
int LastFrameActive; // Last frame number this viewport was activated by a window
int LastFocusedStampCount; // Last stamp number from when a window hosted by this viewport was focused (by comparing this value between two viewport we have an implicit viewport z-order we use as fallback)
ImGuiID LastNameHash;
ImVec2 LastPos;
float Alpha; // Window opacity (when dragging dockable windows/viewports we make them transparent)
float LastAlpha;
bool LastFocusedHadNavWindow;// Instead of maintaining a LastFocusedWindow (which may harder to correctly maintain), we merely store weither NavWindow != NULL last time the viewport was focused.
short PlatformMonitor;
int DrawListsLastFrame[2]; // Last frame number the background (0) and foreground (1) draw lists were used
ImDrawList* DrawLists[2]; // Convenience background (0) and foreground (1) draw lists. We use them to draw software mouser cursor when io.MouseDrawCursor is set and to draw most debug overlays.
ImDrawData DrawDataP;
ImDrawDataBuilder DrawDataBuilder;
ImVec2 LastPlatformPos;
ImVec2 LastPlatformSize;
ImVec2 LastRendererSize;
ImVec2 WorkOffsetMin; // Work Area: Offset from Pos to top-left corner of Work Area. Generally (0,0) or (0,+main_menu_bar_height). Work Area is Full Area but without menu-bars/status-bars (so WorkArea always fit inside Pos/Size!)
ImVec2 WorkOffsetMax; // Work Area: Offset from Pos+Size to bottom-right corner of Work Area. Generally (0,0) or (0,-status_bar_height).
ImVec2 BuildWorkOffsetMin; // Work Area: Offset being built during current frame. Generally >= 0.0f.
ImVec2 BuildWorkOffsetMax; // Work Area: Offset being built during current frame. Generally <= 0.0f.
ImGuiViewportP() { Window = NULL; Idx = -1; LastFrameActive = DrawListsLastFrame[0] = DrawListsLastFrame[1] = LastFocusedStampCount = -1; LastNameHash = 0; Alpha = LastAlpha = 1.0f; LastFocusedHadNavWindow = false; PlatformMonitor = -1; Window = NULL; DrawLists[0] = DrawLists[1] = NULL; LastPlatformPos = LastPlatformSize = LastRendererSize = ImVec2(FLT_MAX, FLT_MAX); }
~ImGuiViewportP() { if (DrawLists[0]) IM_DELETE(DrawLists[0]); if (DrawLists[1]) IM_DELETE(DrawLists[1]); }
void ClearRequestFlags() { PlatformRequestClose = PlatformRequestMove = PlatformRequestResize = false; }
// Calculate work rect pos/size given a set of offset (we have 1 pair of offset for rect locked from last frame data, and 1 pair for currently building rect)
ImVec2 CalcWorkRectPos(const ImVec2& off_min) const { return ImVec2(Pos.x + off_min.x, Pos.y + off_min.y); }
ImVec2 CalcWorkRectSize(const ImVec2& off_min, const ImVec2& off_max) const { return ImVec2(ImMax(0.0f, Size.x - off_min.x + off_max.x), ImMax(0.0f, Size.y - off_min.y + off_max.y)); }
void UpdateWorkRect() { WorkPos = CalcWorkRectPos(WorkOffsetMin); WorkSize = CalcWorkRectSize(WorkOffsetMin, WorkOffsetMax); } // Update public fields
// Helpers to retrieve ImRect (we don't need to store BuildWorkRect as every access tend to change it, hence the code asymmetry)
ImRect GetMainRect() const { return ImRect(Pos.x, Pos.y, Pos.x + Size.x, Pos.y + Size.y); }
ImRect GetWorkRect() const { return ImRect(WorkPos.x, WorkPos.y, WorkPos.x + WorkSize.x, WorkPos.y + WorkSize.y); }
ImRect GetBuildWorkRect() const { ImVec2 pos = CalcWorkRectPos(BuildWorkOffsetMin); ImVec2 size = CalcWorkRectSize(BuildWorkOffsetMin, BuildWorkOffsetMax); return ImRect(pos.x, pos.y, pos.x + size.x, pos.y + size.y); }
};
//-----------------------------------------------------------------------------
// [SECTION] Settings support
//-----------------------------------------------------------------------------
// Windows data saved in imgui.ini file
// Because we never destroy or rename ImGuiWindowSettings, we can store the names in a separate buffer easily.
// (this is designed to be stored in a ImChunkStream buffer, with the variable-length Name following our structure)
struct ImGuiWindowSettings
{
ImGuiID ID;
ImVec2ih Pos; // NB: Settings position are stored RELATIVE to the viewport! Whereas runtime ones are absolute positions.
ImVec2ih Size;
ImVec2ih ViewportPos;
ImGuiID ViewportId;
ImGuiID DockId; // ID of last known DockNode (even if the DockNode is invisible because it has only 1 active window), or 0 if none.
ImGuiID ClassId; // ID of window class if specified
short DockOrder; // Order of the last time the window was visible within its DockNode. This is used to reorder windows that are reappearing on the same frame. Same value between windows that were active and windows that were none are possible.
bool Collapsed;
bool WantApply; // Set when loaded from .ini data (to enable merging/loading .ini data into an already running context)
bool WantDelete; // Set to invalidate/delete the settings entry
ImGuiWindowSettings() { memset(this, 0, sizeof(*this)); DockOrder = -1; }
char* GetName() { return (char*)(this + 1); }
};
struct ImGuiSettingsHandler
{
const char* TypeName; // Short description stored in .ini file. Disallowed characters: '[' ']'
ImGuiID TypeHash; // == ImHashStr(TypeName)
void (*ClearAllFn)(ImGuiContext* ctx, ImGuiSettingsHandler* handler); // Clear all settings data
void (*ReadInitFn)(ImGuiContext* ctx, ImGuiSettingsHandler* handler); // Read: Called before reading (in registration order)
void* (*ReadOpenFn)(ImGuiContext* ctx, ImGuiSettingsHandler* handler, const char* name); // Read: Called when entering into a new ini entry e.g. "[Window][Name]"
void (*ReadLineFn)(ImGuiContext* ctx, ImGuiSettingsHandler* handler, void* entry, const char* line); // Read: Called for every line of text within an ini entry
void (*ApplyAllFn)(ImGuiContext* ctx, ImGuiSettingsHandler* handler); // Read: Called after reading (in registration order)
void (*WriteAllFn)(ImGuiContext* ctx, ImGuiSettingsHandler* handler, ImGuiTextBuffer* out_buf); // Write: Output every entries into 'out_buf'
void* UserData;
ImGuiSettingsHandler() { memset(this, 0, sizeof(*this)); }
};
//-----------------------------------------------------------------------------
// [SECTION] Localization support
//-----------------------------------------------------------------------------
// This is experimental and not officially supported, it'll probably fall short of features, if/when it does we may backtrack.
enum ImGuiLocKey : int
{
ImGuiLocKey_TableSizeOne,
ImGuiLocKey_TableSizeAllFit,
ImGuiLocKey_TableSizeAllDefault,
ImGuiLocKey_TableResetOrder,
ImGuiLocKey_WindowingMainMenuBar,
ImGuiLocKey_WindowingPopup,
ImGuiLocKey_WindowingUntitled,
ImGuiLocKey_DockingHideTabBar,
ImGuiLocKey_COUNT
};
struct ImGuiLocEntry
{
ImGuiLocKey Key;
const char* Text;
};
//-----------------------------------------------------------------------------
// [SECTION] Metrics, Debug Tools
//-----------------------------------------------------------------------------
enum ImGuiDebugLogFlags_
{
// Event types
ImGuiDebugLogFlags_None = 0,
ImGuiDebugLogFlags_EventActiveId = 1 << 0,
ImGuiDebugLogFlags_EventFocus = 1 << 1,
ImGuiDebugLogFlags_EventPopup = 1 << 2,
ImGuiDebugLogFlags_EventNav = 1 << 3,
ImGuiDebugLogFlags_EventClipper = 1 << 4,
ImGuiDebugLogFlags_EventSelection = 1 << 5,
ImGuiDebugLogFlags_EventIO = 1 << 6,
ImGuiDebugLogFlags_EventDocking = 1 << 7,
ImGuiDebugLogFlags_EventViewport = 1 << 8,
ImGuiDebugLogFlags_EventMask_ = ImGuiDebugLogFlags_EventActiveId | ImGuiDebugLogFlags_EventFocus | ImGuiDebugLogFlags_EventPopup | ImGuiDebugLogFlags_EventNav | ImGuiDebugLogFlags_EventClipper | ImGuiDebugLogFlags_EventSelection | ImGuiDebugLogFlags_EventIO | ImGuiDebugLogFlags_EventDocking | ImGuiDebugLogFlags_EventViewport,
ImGuiDebugLogFlags_OutputToTTY = 1 << 10, // Also send output to TTY
};
struct ImGuiMetricsConfig
{
bool ShowDebugLog = false;
bool ShowStackTool = false;
bool ShowWindowsRects = false;
bool ShowWindowsBeginOrder = false;
bool ShowTablesRects = false;
bool ShowDrawCmdMesh = true;
bool ShowDrawCmdBoundingBoxes = true;
bool ShowAtlasTintedWithTextColor = false;
bool ShowDockingNodes = false;
int ShowWindowsRectsType = -1;
int ShowTablesRectsType = -1;
};
struct ImGuiStackLevelInfo
{
ImGuiID ID;
ImS8 QueryFrameCount; // >= 1: Query in progress
bool QuerySuccess; // Obtained result from DebugHookIdInfo()
ImGuiDataType DataType : 8;
char Desc[57]; // Arbitrarily sized buffer to hold a result (FIXME: could replace Results[] with a chunk stream?) FIXME: Now that we added CTRL+C this should be fixed.
ImGuiStackLevelInfo() { memset(this, 0, sizeof(*this)); }
};
// State for Stack tool queries
struct ImGuiStackTool
{
int LastActiveFrame;
int StackLevel; // -1: query stack and resize Results, >= 0: individual stack level
ImGuiID QueryId; // ID to query details for
ImVector<ImGuiStackLevelInfo> Results;
bool CopyToClipboardOnCtrlC;
float CopyToClipboardLastTime;
ImGuiStackTool() { memset(this, 0, sizeof(*this)); CopyToClipboardLastTime = -FLT_MAX; }
};
//-----------------------------------------------------------------------------
// [SECTION] Generic context hooks
//-----------------------------------------------------------------------------
typedef void (*ImGuiContextHookCallback)(ImGuiContext* ctx, ImGuiContextHook* hook);
enum ImGuiContextHookType { ImGuiContextHookType_NewFramePre, ImGuiContextHookType_NewFramePost, ImGuiContextHookType_EndFramePre, ImGuiContextHookType_EndFramePost, ImGuiContextHookType_RenderPre, ImGuiContextHookType_RenderPost, ImGuiContextHookType_Shutdown, ImGuiContextHookType_PendingRemoval_ };
struct ImGuiContextHook
{
ImGuiID HookId; // A unique ID assigned by AddContextHook()
ImGuiContextHookType Type;
ImGuiID Owner;
ImGuiContextHookCallback Callback;
void* UserData;
ImGuiContextHook() { memset(this, 0, sizeof(*this)); }
};
//-----------------------------------------------------------------------------
// [SECTION] ImGuiContext (main Dear ImGui context)
//-----------------------------------------------------------------------------
struct ImGuiContext
{
bool Initialized;
bool FontAtlasOwnedByContext; // IO.Fonts-> is owned by the ImGuiContext and will be destructed along with it.
ImGuiIO IO;
ImGuiPlatformIO PlatformIO;
ImGuiStyle Style;
ImGuiConfigFlags ConfigFlagsCurrFrame; // = g.IO.ConfigFlags at the time of NewFrame()
ImGuiConfigFlags ConfigFlagsLastFrame;
ImFont* Font; // (Shortcut) == FontStack.empty() ? IO.Font : FontStack.back()
float FontSize; // (Shortcut) == FontBaseSize * g.CurrentWindow->FontWindowScale == window->FontSize(). Text height for current window.
float FontBaseSize; // (Shortcut) == IO.FontGlobalScale * Font->Scale * Font->FontSize. Base text height.
ImDrawListSharedData DrawListSharedData;
double Time;
int FrameCount;
int FrameCountEnded;
int FrameCountPlatformEnded;
int FrameCountRendered;
bool WithinFrameScope; // Set by NewFrame(), cleared by EndFrame()
bool WithinFrameScopeWithImplicitWindow; // Set by NewFrame(), cleared by EndFrame() when the implicit debug window has been pushed
bool WithinEndChild; // Set within EndChild()
bool GcCompactAll; // Request full GC
bool TestEngineHookItems; // Will call test engine hooks: ImGuiTestEngineHook_ItemAdd(), ImGuiTestEngineHook_ItemInfo(), ImGuiTestEngineHook_Log()
void* TestEngine; // Test engine user data
// Inputs
ImVector<ImGuiInputEvent> InputEventsQueue; // Input events which will be trickled/written into IO structure.
ImVector<ImGuiInputEvent> InputEventsTrail; // Past input events processed in NewFrame(). This is to allow domain-specific application to access e.g mouse/pen trail.
ImGuiMouseSource InputEventsNextMouseSource;
ImU32 InputEventsNextEventId;
// Windows state
ImVector<ImGuiWindow*> Windows; // Windows, sorted in display order, back to front
ImVector<ImGuiWindow*> WindowsFocusOrder; // Root windows, sorted in focus order, back to front.
ImVector<ImGuiWindow*> WindowsTempSortBuffer; // Temporary buffer used in EndFrame() to reorder windows so parents are kept before their child
ImVector<ImGuiWindowStackData> CurrentWindowStack;
ImGuiStorage WindowsById; // Map window's ImGuiID to ImGuiWindow*
int WindowsActiveCount; // Number of unique windows submitted by frame
ImVec2 WindowsHoverPadding; // Padding around resizable windows for which hovering on counts as hovering the window == ImMax(style.TouchExtraPadding, WINDOWS_HOVER_PADDING)
ImGuiWindow* CurrentWindow; // Window being drawn into
ImGuiWindow* HoveredWindow; // Window the mouse is hovering. Will typically catch mouse inputs.
ImGuiWindow* HoveredWindowUnderMovingWindow; // Hovered window ignoring MovingWindow. Only set if MovingWindow is set.
ImGuiWindow* MovingWindow; // Track the window we clicked on (in order to preserve focus). The actual window that is moved is generally MovingWindow->RootWindowDockTree.
ImGuiWindow* WheelingWindow; // Track the window we started mouse-wheeling on. Until a timer elapse or mouse has moved, generally keep scrolling the same window even if during the course of scrolling the mouse ends up hovering a child window.
ImVec2 WheelingWindowRefMousePos;
int WheelingWindowStartFrame; // This may be set one frame before WheelingWindow is != NULL
float WheelingWindowReleaseTimer;
ImVec2 WheelingWindowWheelRemainder;
ImVec2 WheelingAxisAvg;
// Item/widgets state and tracking information
ImGuiID DebugHookIdInfo; // Will call core hooks: DebugHookIdInfo() from GetID functions, used by Stack Tool [next HoveredId/ActiveId to not pull in an extra cache-line]
ImGuiID HoveredId; // Hovered widget, filled during the frame
ImGuiID HoveredIdPreviousFrame;
bool HoveredIdAllowOverlap;
bool HoveredIdDisabled; // At least one widget passed the rect test, but has been discarded by disabled flag or popup inhibit. May be true even if HoveredId == 0.
float HoveredIdTimer; // Measure contiguous hovering time
float HoveredIdNotActiveTimer; // Measure contiguous hovering time where the item has not been active
ImGuiID ActiveId; // Active widget
ImGuiID ActiveIdIsAlive; // Active widget has been seen this frame (we can't use a bool as the ActiveId may change within the frame)
float ActiveIdTimer;
bool ActiveIdIsJustActivated; // Set at the time of activation for one frame
bool ActiveIdAllowOverlap; // Active widget allows another widget to steal active id (generally for overlapping widgets, but not always)
bool ActiveIdNoClearOnFocusLoss; // Disable losing active id if the active id window gets unfocused.
bool ActiveIdHasBeenPressedBefore; // Track whether the active id led to a press (this is to allow changing between PressOnClick and PressOnRelease without pressing twice). Used by range_select branch.
bool ActiveIdHasBeenEditedBefore; // Was the value associated to the widget Edited over the course of the Active state.
bool ActiveIdHasBeenEditedThisFrame;
ImVec2 ActiveIdClickOffset; // Clicked offset from upper-left corner, if applicable (currently only set by ButtonBehavior)
ImGuiWindow* ActiveIdWindow;
ImGuiInputSource ActiveIdSource; // Activating source: ImGuiInputSource_Mouse OR ImGuiInputSource_Keyboard OR ImGuiInputSource_Gamepad
int ActiveIdMouseButton;
ImGuiID ActiveIdPreviousFrame;
bool ActiveIdPreviousFrameIsAlive;
bool ActiveIdPreviousFrameHasBeenEditedBefore;
ImGuiWindow* ActiveIdPreviousFrameWindow;
ImGuiID LastActiveId; // Store the last non-zero ActiveId, useful for animation.
float LastActiveIdTimer; // Store the last non-zero ActiveId timer since the beginning of activation, useful for animation.
// [EXPERIMENTAL] Key/Input Ownership + Shortcut Routing system
// - The idea is that instead of "eating" a given key, we can link to an owner.
// - Input query can then read input by specifying ImGuiKeyOwner_Any (== 0), ImGuiKeyOwner_None (== -1) or a custom ID.
// - Routing is requested ahead of time for a given chord (Key + Mods) and granted in NewFrame().
ImGuiKeyOwnerData KeysOwnerData[ImGuiKey_NamedKey_COUNT];
ImGuiKeyRoutingTable KeysRoutingTable;
ImU32 ActiveIdUsingNavDirMask; // Active widget will want to read those nav move requests (e.g. can activate a button and move away from it)
bool ActiveIdUsingAllKeyboardKeys; // Active widget will want to read all keyboard keys inputs. (FIXME: This is a shortcut for not taking ownership of 100+ keys but perhaps best to not have the inconsistency)
#ifndef IMGUI_DISABLE_OBSOLETE_KEYIO
ImU32 ActiveIdUsingNavInputMask; // If you used this. Since (IMGUI_VERSION_NUM >= 18804) : 'g.ActiveIdUsingNavInputMask |= (1 << ImGuiNavInput_Cancel);' becomes 'SetKeyOwner(ImGuiKey_Escape, g.ActiveId) and/or SetKeyOwner(ImGuiKey_NavGamepadCancel, g.ActiveId);'
#endif
// Next window/item data
ImGuiID CurrentFocusScopeId; // == g.FocusScopeStack.back()
ImGuiItemFlags CurrentItemFlags; // == g.ItemFlagsStack.back()
ImGuiID DebugLocateId; // Storage for DebugLocateItemOnHover() feature: this is read by ItemAdd() so we keep it in a hot/cached location
ImGuiNextItemData NextItemData; // Storage for SetNextItem** functions
ImGuiLastItemData LastItemData; // Storage for last submitted item (setup by ItemAdd)
ImGuiNextWindowData NextWindowData; // Storage for SetNextWindow** functions
// Shared stacks
ImVector<ImGuiColorMod> ColorStack; // Stack for PushStyleColor()/PopStyleColor() - inherited by Begin()
ImVector<ImGuiStyleMod> StyleVarStack; // Stack for PushStyleVar()/PopStyleVar() - inherited by Begin()
ImVector<ImFont*> FontStack; // Stack for PushFont()/PopFont() - inherited by Begin()
ImVector<ImGuiID> FocusScopeStack; // Stack for PushFocusScope()/PopFocusScope() - inherited by BeginChild(), pushed into by Begin()
ImVector<ImGuiItemFlags>ItemFlagsStack; // Stack for PushItemFlag()/PopItemFlag() - inherited by Begin()
ImVector<ImGuiGroupData>GroupStack; // Stack for BeginGroup()/EndGroup() - not inherited by Begin()
ImVector<ImGuiPopupData>OpenPopupStack; // Which popups are open (persistent)
ImVector<ImGuiPopupData>BeginPopupStack; // Which level of BeginPopup() we are in (reset every frame)
int BeginMenuCount;
// Viewports
ImVector<ImGuiViewportP*> Viewports; // Active viewports (always 1+, and generally 1 unless multi-viewports are enabled). Each viewports hold their copy of ImDrawData.
float CurrentDpiScale; // == CurrentViewport->DpiScale
ImGuiViewportP* CurrentViewport; // We track changes of viewport (happening in Begin) so we can call Platform_OnChangedViewport()
ImGuiViewportP* MouseViewport;
ImGuiViewportP* MouseLastHoveredViewport; // Last known viewport that was hovered by mouse (even if we are not hovering any viewport any more) + honoring the _NoInputs flag.
ImGuiID PlatformLastFocusedViewportId;
ImGuiPlatformMonitor FallbackMonitor; // Virtual monitor used as fallback if backend doesn't provide monitor information.
int ViewportFocusedStampCount; // Every time the front-most window changes, we stamp its viewport with an incrementing counter
// Gamepad/keyboard Navigation
ImGuiWindow* NavWindow; // Focused window for navigation. Could be called 'FocusedWindow'
ImGuiID NavId; // Focused item for navigation
ImGuiID NavFocusScopeId; // Identify a selection scope (selection code often wants to "clear other items" when landing on an item of the selection set)
ImGuiID NavActivateId; // ~~ (g.ActiveId == 0) && (IsKeyPressed(ImGuiKey_Space) || IsKeyDown(ImGuiKey_Enter) || IsKeyPressed(ImGuiKey_NavGamepadActivate)) ? NavId : 0, also set when calling ActivateItem()
ImGuiID NavActivateDownId; // ~~ IsKeyDown(ImGuiKey_Space) || IsKeyDown(ImGuiKey_Enter) || IsKeyDown(ImGuiKey_NavGamepadActivate) ? NavId : 0
ImGuiID NavActivatePressedId; // ~~ IsKeyPressed(ImGuiKey_Space) || IsKeyPressed(ImGuiKey_Enter) || IsKeyPressed(ImGuiKey_NavGamepadActivate) ? NavId : 0 (no repeat)
ImGuiActivateFlags NavActivateFlags;
ImGuiID NavJustMovedToId; // Just navigated to this id (result of a successfully MoveRequest).
ImGuiID NavJustMovedToFocusScopeId; // Just navigated to this focus scope id (result of a successfully MoveRequest).
ImGuiKeyChord NavJustMovedToKeyMods;
ImGuiID NavNextActivateId; // Set by ActivateItem(), queued until next frame.
ImGuiActivateFlags NavNextActivateFlags;
ImGuiInputSource NavInputSource; // Keyboard or Gamepad mode? THIS CAN ONLY BE ImGuiInputSource_Keyboard or ImGuiInputSource_Mouse
ImGuiNavLayer NavLayer; // Layer we are navigating on. For now the system is hard-coded for 0=main contents and 1=menu/title bar, may expose layers later.
bool NavIdIsAlive; // Nav widget has been seen this frame ~~ NavRectRel is valid
bool NavMousePosDirty; // When set we will update mouse position if (io.ConfigFlags & ImGuiConfigFlags_NavEnableSetMousePos) if set (NB: this not enabled by default)
bool NavDisableHighlight; // When user starts using mouse, we hide gamepad/keyboard highlight (NB: but they are still available, which is why NavDisableHighlight isn't always != NavDisableMouseHover)
bool NavDisableMouseHover; // When user starts using gamepad/keyboard, we hide mouse hovering highlight until mouse is touched again.
// Navigation: Init & Move Requests
bool NavAnyRequest; // ~~ NavMoveRequest || NavInitRequest this is to perform early out in ItemAdd()
bool NavInitRequest; // Init request for appearing window to select first item
bool NavInitRequestFromMove;
ImGuiID NavInitResultId; // Init request result (first item of the window, or one for which SetItemDefaultFocus() was called)
ImRect NavInitResultRectRel; // Init request result rectangle (relative to parent window)
bool NavMoveSubmitted; // Move request submitted, will process result on next NewFrame()
bool NavMoveScoringItems; // Move request submitted, still scoring incoming items
bool NavMoveForwardToNextFrame;
ImGuiNavMoveFlags NavMoveFlags;
ImGuiScrollFlags NavMoveScrollFlags;
ImGuiKeyChord NavMoveKeyMods;
ImGuiDir NavMoveDir; // Direction of the move request (left/right/up/down)
ImGuiDir NavMoveDirForDebug;
ImGuiDir NavMoveClipDir; // FIXME-NAV: Describe the purpose of this better. Might want to rename?
ImRect NavScoringRect; // Rectangle used for scoring, in screen space. Based of window->NavRectRel[], modified for directional navigation scoring.
ImRect NavScoringNoClipRect; // Some nav operations (such as PageUp/PageDown) enforce a region which clipper will attempt to always keep submitted
int NavScoringDebugCount; // Metrics for debugging
int NavTabbingDir; // Generally -1 or +1, 0 when tabbing without a nav id
int NavTabbingCounter; // >0 when counting items for tabbing
ImGuiNavItemData NavMoveResultLocal; // Best move request candidate within NavWindow
ImGuiNavItemData NavMoveResultLocalVisible; // Best move request candidate within NavWindow that are mostly visible (when using ImGuiNavMoveFlags_AlsoScoreVisibleSet flag)
ImGuiNavItemData NavMoveResultOther; // Best move request candidate within NavWindow's flattened hierarchy (when using ImGuiWindowFlags_NavFlattened flag)
ImGuiNavItemData NavTabbingResultFirst; // First tabbing request candidate within NavWindow and flattened hierarchy
// Navigation: Windowing (CTRL+TAB for list, or Menu button + keys or directional pads to move/resize)
ImGuiKeyChord ConfigNavWindowingKeyNext; // = ImGuiMod_Ctrl | ImGuiKey_Tab, for reconfiguration (see #4828)
ImGuiKeyChord ConfigNavWindowingKeyPrev; // = ImGuiMod_Ctrl | ImGuiMod_Shift | ImGuiKey_Tab
ImGuiWindow* NavWindowingTarget; // Target window when doing CTRL+Tab (or Pad Menu + FocusPrev/Next), this window is temporarily displayed top-most!
ImGuiWindow* NavWindowingTargetAnim; // Record of last valid NavWindowingTarget until DimBgRatio and NavWindowingHighlightAlpha becomes 0.0f, so the fade-out can stay on it.
ImGuiWindow* NavWindowingListWindow; // Internal window actually listing the CTRL+Tab contents
float NavWindowingTimer;
float NavWindowingHighlightAlpha;
bool NavWindowingToggleLayer;
ImVec2 NavWindowingAccumDeltaPos;
ImVec2 NavWindowingAccumDeltaSize;
// Render
float DimBgRatio; // 0.0..1.0 animation when fading in a dimming background (for modal window and CTRL+TAB list)
ImGuiMouseCursor MouseCursor;
// Drag and Drop
bool DragDropActive;
bool DragDropWithinSource; // Set when within a BeginDragDropXXX/EndDragDropXXX block for a drag source.
bool DragDropWithinTarget; // Set when within a BeginDragDropXXX/EndDragDropXXX block for a drag target.
ImGuiDragDropFlags DragDropSourceFlags;
int DragDropSourceFrameCount;
int DragDropMouseButton;
ImGuiPayload DragDropPayload;
ImRect DragDropTargetRect; // Store rectangle of current target candidate (we favor small targets when overlapping)
ImGuiID DragDropTargetId;
ImGuiDragDropFlags DragDropAcceptFlags;
float DragDropAcceptIdCurrRectSurface; // Target item surface (we resolve overlapping targets by prioritizing the smaller surface)
ImGuiID DragDropAcceptIdCurr; // Target item id (set at the time of accepting the payload)
ImGuiID DragDropAcceptIdPrev; // Target item id from previous frame (we need to store this to allow for overlapping drag and drop targets)
int DragDropAcceptFrameCount; // Last time a target expressed a desire to accept the source
ImGuiID DragDropHoldJustPressedId; // Set when holding a payload just made ButtonBehavior() return a press.
ImVector<unsigned char> DragDropPayloadBufHeap; // We don't expose the ImVector<> directly, ImGuiPayload only holds pointer+size
unsigned char DragDropPayloadBufLocal[16]; // Local buffer for small payloads
// Clipper
int ClipperTempDataStacked;
ImVector<ImGuiListClipperData> ClipperTempData;
// Tables
ImGuiTable* CurrentTable;
int TablesTempDataStacked; // Temporary table data size (because we leave previous instances undestructed, we generally don't use TablesTempData.Size)
ImVector<ImGuiTableTempData> TablesTempData; // Temporary table data (buffers reused/shared across instances, support nesting)
ImPool<ImGuiTable> Tables; // Persistent table data
ImVector<float> TablesLastTimeActive; // Last used timestamp of each tables (SOA, for efficient GC)
ImVector<ImDrawChannel> DrawChannelsTempMergeBuffer;
// Tab bars
ImGuiTabBar* CurrentTabBar;
ImPool<ImGuiTabBar> TabBars;
ImVector<ImGuiPtrOrIndex> CurrentTabBarStack;
ImVector<ImGuiShrinkWidthItem> ShrinkWidthBuffer;
// Hover Delay system
ImGuiID HoverDelayId;
ImGuiID HoverDelayIdPreviousFrame;
float HoverDelayTimer; // Currently used IsItemHovered(), generally inferred from g.HoveredIdTimer but kept uncleared until clear timer elapse.
float HoverDelayClearTimer; // Currently used IsItemHovered(): grace time before g.TooltipHoverTimer gets cleared.
// Widget state
ImVec2 MouseLastValidPos;
ImGuiInputTextState InputTextState;
ImGuiInputTextDeactivatedState InputTextDeactivatedState;
ImFont InputTextPasswordFont;
ImGuiID TempInputId; // Temporary text input when CTRL+clicking on a slider, etc.
ImGuiColorEditFlags ColorEditOptions; // Store user options for color edit widgets
ImGuiID ColorEditCurrentID; // Set temporarily while inside of the parent-most ColorEdit4/ColorPicker4 (because they call each others).
ImGuiID ColorEditSavedID; // ID we are saving/restoring HS for
float ColorEditSavedHue; // Backup of last Hue associated to LastColor, so we can restore Hue in lossy RGB<>HSV round trips
float ColorEditSavedSat; // Backup of last Saturation associated to LastColor, so we can restore Saturation in lossy RGB<>HSV round trips
ImU32 ColorEditSavedColor; // RGB value with alpha set to 0.
ImVec4 ColorPickerRef; // Initial/reference color at the time of opening the color picker.
ImGuiComboPreviewData ComboPreviewData;
float SliderGrabClickOffset;
float SliderCurrentAccum; // Accumulated slider delta when using navigation controls.
bool SliderCurrentAccumDirty; // Has the accumulated slider delta changed since last time we tried to apply it?
bool DragCurrentAccumDirty;
float DragCurrentAccum; // Accumulator for dragging modification. Always high-precision, not rounded by end-user precision settings
float DragSpeedDefaultRatio; // If speed == 0.0f, uses (max-min) * DragSpeedDefaultRatio
float ScrollbarClickDeltaToGrabCenter; // Distance between mouse and center of grab box, normalized in parent space. Use storage?
float DisabledAlphaBackup; // Backup for style.Alpha for BeginDisabled()
short DisabledStackSize;
short TooltipOverrideCount;
ImVector<char> ClipboardHandlerData; // If no custom clipboard handler is defined
ImVector<ImGuiID> MenusIdSubmittedThisFrame; // A list of menu IDs that were rendered at least once
// Platform support
ImGuiPlatformImeData PlatformImeData; // Data updated by current frame
ImGuiPlatformImeData PlatformImeDataPrev; // Previous frame data (when changing we will call io.SetPlatformImeDataFn
ImGuiID PlatformImeViewport;
char PlatformLocaleDecimalPoint; // '.' or *localeconv()->decimal_point
// Extensions
// FIXME: We could provide an API to register one slot in an array held in ImGuiContext?
ImGuiDockContext DockContext;
void (*DockNodeWindowMenuHandler)(ImGuiContext* ctx, ImGuiDockNode* node, ImGuiTabBar* tab_bar);
// Settings
bool SettingsLoaded;
float SettingsDirtyTimer; // Save .ini Settings to memory when time reaches zero
ImGuiTextBuffer SettingsIniData; // In memory .ini settings
ImVector<ImGuiSettingsHandler> SettingsHandlers; // List of .ini settings handlers
ImChunkStream<ImGuiWindowSettings> SettingsWindows; // ImGuiWindow .ini settings entries
ImChunkStream<ImGuiTableSettings> SettingsTables; // ImGuiTable .ini settings entries
ImVector<ImGuiContextHook> Hooks; // Hooks for extensions (e.g. test engine)
ImGuiID HookIdNext; // Next available HookId
// Localization
const char* LocalizationTable[ImGuiLocKey_COUNT];
// Capture/Logging
bool LogEnabled; // Currently capturing
ImGuiLogType LogType; // Capture target
ImFileHandle LogFile; // If != NULL log to stdout/ file
ImGuiTextBuffer LogBuffer; // Accumulation buffer when log to clipboard. This is pointer so our GImGui static constructor doesn't call heap allocators.
const char* LogNextPrefix;
const char* LogNextSuffix;
float LogLinePosY;
bool LogLineFirstItem;
int LogDepthRef;
int LogDepthToExpand;
int LogDepthToExpandDefault; // Default/stored value for LogDepthMaxExpand if not specified in the LogXXX function call.
// Debug Tools
ImGuiDebugLogFlags DebugLogFlags;
ImGuiTextBuffer DebugLogBuf;
ImGuiTextIndex DebugLogIndex;
ImU8 DebugLogClipperAutoDisableFrames;
ImU8 DebugLocateFrames; // For DebugLocateItemOnHover(). This is used together with DebugLocateId which is in a hot/cached spot above.
ImS8 DebugBeginReturnValueCullDepth; // Cycle between 0..9 then wrap around.
bool DebugItemPickerActive; // Item picker is active (started with DebugStartItemPicker())
ImU8 DebugItemPickerMouseButton;
ImGuiID DebugItemPickerBreakId; // Will call IM_DEBUG_BREAK() when encountering this ID
ImGuiMetricsConfig DebugMetricsConfig;
ImGuiStackTool DebugStackTool;
ImGuiDockNode* DebugHoveredDockNode; // Hovered dock node.
// Misc
float FramerateSecPerFrame[60]; // Calculate estimate of framerate for user over the last 60 frames..
int FramerateSecPerFrameIdx;
int FramerateSecPerFrameCount;
float FramerateSecPerFrameAccum;
int WantCaptureMouseNextFrame; // Explicit capture override via SetNextFrameWantCaptureMouse()/SetNextFrameWantCaptureKeyboard(). Default to -1.
int WantCaptureKeyboardNextFrame; // "
int WantTextInputNextFrame;
ImVector<char> TempBuffer; // Temporary text buffer
ImGuiContext(ImFontAtlas* shared_font_atlas)
{
IO.Ctx = this;
InputTextState.Ctx = this;
Initialized = false;
ConfigFlagsCurrFrame = ConfigFlagsLastFrame = ImGuiConfigFlags_None;
FontAtlasOwnedByContext = shared_font_atlas ? false : true;
Font = NULL;
FontSize = FontBaseSize = 0.0f;
IO.Fonts = shared_font_atlas ? shared_font_atlas : IM_NEW(ImFontAtlas)();
Time = 0.0f;
FrameCount = 0;
FrameCountEnded = FrameCountPlatformEnded = FrameCountRendered = -1;
WithinFrameScope = WithinFrameScopeWithImplicitWindow = WithinEndChild = false;
GcCompactAll = false;
TestEngineHookItems = false;
TestEngine = NULL;
InputEventsNextMouseSource = ImGuiMouseSource_Mouse;
InputEventsNextEventId = 1;
WindowsActiveCount = 0;
CurrentWindow = NULL;
HoveredWindow = NULL;
HoveredWindowUnderMovingWindow = NULL;
MovingWindow = NULL;
WheelingWindow = NULL;
WheelingWindowStartFrame = -1;
WheelingWindowReleaseTimer = 0.0f;
DebugHookIdInfo = 0;
HoveredId = HoveredIdPreviousFrame = 0;
HoveredIdAllowOverlap = false;
HoveredIdDisabled = false;
HoveredIdTimer = HoveredIdNotActiveTimer = 0.0f;
ActiveId = 0;
ActiveIdIsAlive = 0;
ActiveIdTimer = 0.0f;
ActiveIdIsJustActivated = false;
ActiveIdAllowOverlap = false;
ActiveIdNoClearOnFocusLoss = false;
ActiveIdHasBeenPressedBefore = false;
ActiveIdHasBeenEditedBefore = false;
ActiveIdHasBeenEditedThisFrame = false;
ActiveIdClickOffset = ImVec2(-1, -1);
ActiveIdWindow = NULL;
ActiveIdSource = ImGuiInputSource_None;
ActiveIdMouseButton = -1;
ActiveIdPreviousFrame = 0;
ActiveIdPreviousFrameIsAlive = false;
ActiveIdPreviousFrameHasBeenEditedBefore = false;
ActiveIdPreviousFrameWindow = NULL;
LastActiveId = 0;
LastActiveIdTimer = 0.0f;
ActiveIdUsingNavDirMask = 0x00;
ActiveIdUsingAllKeyboardKeys = false;
#ifndef IMGUI_DISABLE_OBSOLETE_KEYIO
ActiveIdUsingNavInputMask = 0x00;
#endif
CurrentFocusScopeId = 0;
CurrentItemFlags = ImGuiItemFlags_None;
BeginMenuCount = 0;
CurrentDpiScale = 0.0f;
CurrentViewport = NULL;
MouseViewport = MouseLastHoveredViewport = NULL;
PlatformLastFocusedViewportId = 0;
ViewportFocusedStampCount = 0;
NavWindow = NULL;
NavId = NavFocusScopeId = NavActivateId = NavActivateDownId = NavActivatePressedId = 0;
NavJustMovedToId = NavJustMovedToFocusScopeId = NavNextActivateId = 0;
NavActivateFlags = NavNextActivateFlags = ImGuiActivateFlags_None;
NavJustMovedToKeyMods = ImGuiMod_None;
NavInputSource = ImGuiInputSource_Keyboard;
NavLayer = ImGuiNavLayer_Main;
NavIdIsAlive = false;
NavMousePosDirty = false;
NavDisableHighlight = true;
NavDisableMouseHover = false;
NavAnyRequest = false;
NavInitRequest = false;
NavInitRequestFromMove = false;
NavInitResultId = 0;
NavMoveSubmitted = false;
NavMoveScoringItems = false;
NavMoveForwardToNextFrame = false;
NavMoveFlags = ImGuiNavMoveFlags_None;
NavMoveScrollFlags = ImGuiScrollFlags_None;
NavMoveKeyMods = ImGuiMod_None;
NavMoveDir = NavMoveDirForDebug = NavMoveClipDir = ImGuiDir_None;
NavScoringDebugCount = 0;
NavTabbingDir = 0;
NavTabbingCounter = 0;
ConfigNavWindowingKeyNext = ImGuiMod_Ctrl | ImGuiKey_Tab;
ConfigNavWindowingKeyPrev = ImGuiMod_Ctrl | ImGuiMod_Shift | ImGuiKey_Tab;
NavWindowingTarget = NavWindowingTargetAnim = NavWindowingListWindow = NULL;
NavWindowingTimer = NavWindowingHighlightAlpha = 0.0f;
NavWindowingToggleLayer = false;
DimBgRatio = 0.0f;
MouseCursor = ImGuiMouseCursor_Arrow;
DragDropActive = DragDropWithinSource = DragDropWithinTarget = false;
DragDropSourceFlags = ImGuiDragDropFlags_None;
DragDropSourceFrameCount = -1;
DragDropMouseButton = -1;
DragDropTargetId = 0;
DragDropAcceptFlags = ImGuiDragDropFlags_None;
DragDropAcceptIdCurrRectSurface = 0.0f;
DragDropAcceptIdPrev = DragDropAcceptIdCurr = 0;
DragDropAcceptFrameCount = -1;
DragDropHoldJustPressedId = 0;
memset(DragDropPayloadBufLocal, 0, sizeof(DragDropPayloadBufLocal));
ClipperTempDataStacked = 0;
CurrentTable = NULL;
TablesTempDataStacked = 0;
CurrentTabBar = NULL;
HoverDelayId = HoverDelayIdPreviousFrame = 0;
HoverDelayTimer = HoverDelayClearTimer = 0.0f;
TempInputId = 0;
ColorEditOptions = ImGuiColorEditFlags_DefaultOptions_;
ColorEditCurrentID = ColorEditSavedID = 0;
ColorEditSavedHue = ColorEditSavedSat = 0.0f;
ColorEditSavedColor = 0;
SliderGrabClickOffset = 0.0f;
SliderCurrentAccum = 0.0f;
SliderCurrentAccumDirty = false;
DragCurrentAccumDirty = false;
DragCurrentAccum = 0.0f;
DragSpeedDefaultRatio = 1.0f / 100.0f;
ScrollbarClickDeltaToGrabCenter = 0.0f;
DisabledAlphaBackup = 0.0f;
DisabledStackSize = 0;
TooltipOverrideCount = 0;
PlatformImeData.InputPos = ImVec2(0.0f, 0.0f);
PlatformImeDataPrev.InputPos = ImVec2(-1.0f, -1.0f); // Different to ensure initial submission
PlatformImeViewport = 0;
PlatformLocaleDecimalPoint = '.';
DockNodeWindowMenuHandler = NULL;
SettingsLoaded = false;
SettingsDirtyTimer = 0.0f;
HookIdNext = 0;
memset(LocalizationTable, 0, sizeof(LocalizationTable));
LogEnabled = false;
LogType = ImGuiLogType_None;
LogNextPrefix = LogNextSuffix = NULL;
LogFile = NULL;
LogLinePosY = FLT_MAX;
LogLineFirstItem = false;
LogDepthRef = 0;
LogDepthToExpand = LogDepthToExpandDefault = 2;
DebugLogFlags = ImGuiDebugLogFlags_OutputToTTY;
DebugLocateId = 0;
DebugLogClipperAutoDisableFrames = 0;
DebugLocateFrames = 0;
DebugBeginReturnValueCullDepth = -1;
DebugItemPickerActive = false;
DebugItemPickerMouseButton = ImGuiMouseButton_Left;
DebugItemPickerBreakId = 0;
DebugHoveredDockNode = NULL;
memset(FramerateSecPerFrame, 0, sizeof(FramerateSecPerFrame));
FramerateSecPerFrameIdx = FramerateSecPerFrameCount = 0;
FramerateSecPerFrameAccum = 0.0f;
WantCaptureMouseNextFrame = WantCaptureKeyboardNextFrame = WantTextInputNextFrame = -1;
}
};
//-----------------------------------------------------------------------------
// [SECTION] ImGuiWindowTempData, ImGuiWindow
//-----------------------------------------------------------------------------
// Transient per-window data, reset at the beginning of the frame. This used to be called ImGuiDrawContext, hence the DC variable name in ImGuiWindow.
// (That's theory, in practice the delimitation between ImGuiWindow and ImGuiWindowTempData is quite tenuous and could be reconsidered..)
// (This doesn't need a constructor because we zero-clear it as part of ImGuiWindow and all frame-temporary data are setup on Begin)
struct IMGUI_API ImGuiWindowTempData
{
// Layout
ImVec2 CursorPos; // Current emitting position, in absolute coordinates.
ImVec2 CursorPosPrevLine;
ImVec2 CursorStartPos; // Initial position after Begin(), generally ~ window position + WindowPadding.
ImVec2 CursorMaxPos; // Used to implicitly calculate ContentSize at the beginning of next frame, for scrolling range and auto-resize. Always growing during the frame.
ImVec2 IdealMaxPos; // Used to implicitly calculate ContentSizeIdeal at the beginning of next frame, for auto-resize only. Always growing during the frame.
ImVec2 CurrLineSize;
ImVec2 PrevLineSize;
float CurrLineTextBaseOffset; // Baseline offset (0.0f by default on a new line, generally == style.FramePadding.y when a framed item has been added).
float PrevLineTextBaseOffset;
bool IsSameLine;
bool IsSetPos;
ImVec1 Indent; // Indentation / start position from left of window (increased by TreePush/TreePop, etc.)
ImVec1 ColumnsOffset; // Offset to the current column (if ColumnsCurrent > 0). FIXME: This and the above should be a stack to allow use cases like Tree->Column->Tree. Need revamp columns API.
ImVec1 GroupOffset;
ImVec2 CursorStartPosLossyness;// Record the loss of precision of CursorStartPos due to really large scrolling amount. This is used by clipper to compensentate and fix the most common use case of large scroll area.
// Keyboard/Gamepad navigation
ImGuiNavLayer NavLayerCurrent; // Current layer, 0..31 (we currently only use 0..1)
short NavLayersActiveMask; // Which layers have been written to (result from previous frame)
short NavLayersActiveMaskNext;// Which layers have been written to (accumulator for current frame)
bool NavHideHighlightOneFrame;
bool NavHasScroll; // Set when scrolling can be used (ScrollMax > 0.0f)
// Miscellaneous
bool MenuBarAppending; // FIXME: Remove this
ImVec2 MenuBarOffset; // MenuBarOffset.x is sort of equivalent of a per-layer CursorPos.x, saved/restored as we switch to the menu bar. The only situation when MenuBarOffset.y is > 0 if when (SafeAreaPadding.y > FramePadding.y), often used on TVs.
ImGuiMenuColumns MenuColumns; // Simplified columns storage for menu items measurement
int TreeDepth; // Current tree depth.
ImU32 TreeJumpToParentOnPopMask; // Store a copy of !g.NavIdIsAlive for TreeDepth 0..31.. Could be turned into a ImU64 if necessary.
ImVector<ImGuiWindow*> ChildWindows;
ImGuiStorage* StateStorage; // Current persistent per-window storage (store e.g. tree node open/close state)
ImGuiOldColumns* CurrentColumns; // Current columns set
int CurrentTableIdx; // Current table index (into g.Tables)
ImGuiLayoutType LayoutType;
ImGuiLayoutType ParentLayoutType; // Layout type of parent window at the time of Begin()
// Local parameters stacks
// We store the current settings outside of the vectors to increase memory locality (reduce cache misses). The vectors are rarely modified. Also it allows us to not heap allocate for short-lived windows which are not using those settings.
float ItemWidth; // Current item width (>0.0: width in pixels, <0.0: align xx pixels to the right of window).
float TextWrapPos; // Current text wrap pos.
ImVector<float> ItemWidthStack; // Store item widths to restore (attention: .back() is not == ItemWidth)
ImVector<float> TextWrapPosStack; // Store text wrap pos to restore (attention: .back() is not == TextWrapPos)
};
// Storage for one window
struct IMGUI_API ImGuiWindow
{
ImGuiContext* Ctx; // Parent UI context (needs to be set explicitly by parent).
char* Name; // Window name, owned by the window.
ImGuiID ID; // == ImHashStr(Name)
ImGuiWindowFlags Flags, FlagsPreviousFrame; // See enum ImGuiWindowFlags_
ImGuiWindowClass WindowClass; // Advanced users only. Set with SetNextWindowClass()
ImGuiViewportP* Viewport; // Always set in Begin(). Inactive windows may have a NULL value here if their viewport was discarded.
ImGuiID ViewportId; // We backup the viewport id (since the viewport may disappear or never be created if the window is inactive)
ImVec2 ViewportPos; // We backup the viewport position (since the viewport may disappear or never be created if the window is inactive)
int ViewportAllowPlatformMonitorExtend; // Reset to -1 every frame (index is guaranteed to be valid between NewFrame..EndFrame), only used in the Appearing frame of a tooltip/popup to enforce clamping to a given monitor
ImVec2 Pos; // Position (always rounded-up to nearest pixel)
ImVec2 Size; // Current size (==SizeFull or collapsed title bar size)
ImVec2 SizeFull; // Size when non collapsed
ImVec2 ContentSize; // Size of contents/scrollable client area (calculated from the extents reach of the cursor) from previous frame. Does not include window decoration or window padding.
ImVec2 ContentSizeIdeal;
ImVec2 ContentSizeExplicit; // Size of contents/scrollable client area explicitly request by the user via SetNextWindowContentSize().
ImVec2 WindowPadding; // Window padding at the time of Begin().
float WindowRounding; // Window rounding at the time of Begin(). May be clamped lower to avoid rendering artifacts with title bar, menu bar etc.
float WindowBorderSize; // Window border size at the time of Begin().
float DecoOuterSizeX1, DecoOuterSizeY1; // Left/Up offsets. Sum of non-scrolling outer decorations (X1 generally == 0.0f. Y1 generally = TitleBarHeight + MenuBarHeight). Locked during Begin().
float DecoOuterSizeX2, DecoOuterSizeY2; // Right/Down offsets (X2 generally == ScrollbarSize.x, Y2 == ScrollbarSizes.y).
float DecoInnerSizeX1, DecoInnerSizeY1; // Applied AFTER/OVER InnerRect. Specialized for Tables as they use specialized form of clipping and frozen rows/columns are inside InnerRect (and not part of regular decoration sizes).
int NameBufLen; // Size of buffer storing Name. May be larger than strlen(Name)!
ImGuiID MoveId; // == window->GetID("#MOVE")
ImGuiID TabId; // == window->GetID("#TAB")
ImGuiID ChildId; // ID of corresponding item in parent window (for navigation to return from child window to parent window)
ImVec2 Scroll;
ImVec2 ScrollMax;
ImVec2 ScrollTarget; // target scroll position. stored as cursor position with scrolling canceled out, so the highest point is always 0.0f. (FLT_MAX for no change)
ImVec2 ScrollTargetCenterRatio; // 0.0f = scroll so that target position is at top, 0.5f = scroll so that target position is centered
ImVec2 ScrollTargetEdgeSnapDist; // 0.0f = no snapping, >0.0f snapping threshold
ImVec2 ScrollbarSizes; // Size taken by each scrollbars on their smaller axis. Pay attention! ScrollbarSizes.x == width of the vertical scrollbar, ScrollbarSizes.y = height of the horizontal scrollbar.
bool ScrollbarX, ScrollbarY; // Are scrollbars visible?
bool ViewportOwned;
bool Active; // Set to true on Begin(), unless Collapsed
bool WasActive;
bool WriteAccessed; // Set to true when any widget access the current window
bool Collapsed; // Set when collapsing window to become only title-bar
bool WantCollapseToggle;
bool SkipItems; // Set when items can safely be all clipped (e.g. window not visible or collapsed)
bool Appearing; // Set during the frame where the window is appearing (or re-appearing)
bool Hidden; // Do not display (== HiddenFrames*** > 0)
bool IsFallbackWindow; // Set on the "Debug##Default" window.
bool IsExplicitChild; // Set when passed _ChildWindow, left to false by BeginDocked()
bool HasCloseButton; // Set when the window has a close button (p_open != NULL)
signed char ResizeBorderHeld; // Current border being held for resize (-1: none, otherwise 0-3)
short BeginCount; // Number of Begin() during the current frame (generally 0 or 1, 1+ if appending via multiple Begin/End pairs)
short BeginCountPreviousFrame; // Number of Begin() during the previous frame
short BeginOrderWithinParent; // Begin() order within immediate parent window, if we are a child window. Otherwise 0.
short BeginOrderWithinContext; // Begin() order within entire imgui context. This is mostly used for debugging submission order related issues.
short FocusOrder; // Order within WindowsFocusOrder[], altered when windows are focused.
ImGuiID PopupId; // ID in the popup stack when this window is used as a popup/menu (because we use generic Name/ID for recycling)
ImS8 AutoFitFramesX, AutoFitFramesY;
ImS8 AutoFitChildAxises;
bool AutoFitOnlyGrows;
ImGuiDir AutoPosLastDirection;
ImS8 HiddenFramesCanSkipItems; // Hide the window for N frames
ImS8 HiddenFramesCannotSkipItems; // Hide the window for N frames while allowing items to be submitted so we can measure their size
ImS8 HiddenFramesForRenderOnly; // Hide the window until frame N at Render() time only
ImS8 DisableInputsFrames; // Disable window interactions for N frames
ImGuiCond SetWindowPosAllowFlags : 8; // store acceptable condition flags for SetNextWindowPos() use.
ImGuiCond SetWindowSizeAllowFlags : 8; // store acceptable condition flags for SetNextWindowSize() use.
ImGuiCond SetWindowCollapsedAllowFlags : 8; // store acceptable condition flags for SetNextWindowCollapsed() use.
ImGuiCond SetWindowDockAllowFlags : 8; // store acceptable condition flags for SetNextWindowDock() use.
ImVec2 SetWindowPosVal; // store window position when using a non-zero Pivot (position set needs to be processed when we know the window size)
ImVec2 SetWindowPosPivot; // store window pivot for positioning. ImVec2(0, 0) when positioning from top-left corner; ImVec2(0.5f, 0.5f) for centering; ImVec2(1, 1) for bottom right.
ImVector<ImGuiID> IDStack; // ID stack. ID are hashes seeded with the value at the top of the stack. (In theory this should be in the TempData structure)
ImGuiWindowTempData DC; // Temporary per-window data, reset at the beginning of the frame. This used to be called ImGuiDrawContext, hence the "DC" variable name.
// The best way to understand what those rectangles are is to use the 'Metrics->Tools->Show Windows Rectangles' viewer.
// The main 'OuterRect', omitted as a field, is window->Rect().
ImRect OuterRectClipped; // == Window->Rect() just after setup in Begin(). == window->Rect() for root window.
ImRect InnerRect; // Inner rectangle (omit title bar, menu bar, scroll bar)
ImRect InnerClipRect; // == InnerRect shrunk by WindowPadding*0.5f on each side, clipped within viewport or parent clip rect.
ImRect WorkRect; // Initially covers the whole scrolling region. Reduced by containers e.g columns/tables when active. Shrunk by WindowPadding*1.0f on each side. This is meant to replace ContentRegionRect over time (from 1.71+ onward).
ImRect ParentWorkRect; // Backup of WorkRect before entering a container such as columns/tables. Used by e.g. SpanAllColumns functions to easily access. Stacked containers are responsible for maintaining this. // FIXME-WORKRECT: Could be a stack?
ImRect ClipRect; // Current clipping/scissoring rectangle, evolve as we are using PushClipRect(), etc. == DrawList->clip_rect_stack.back().
ImRect ContentRegionRect; // FIXME: This is currently confusing/misleading. It is essentially WorkRect but not handling of scrolling. We currently rely on it as right/bottom aligned sizing operation need some size to rely on.
ImVec2ih HitTestHoleSize; // Define an optional rectangular hole where mouse will pass-through the window.
ImVec2ih HitTestHoleOffset;
int LastFrameActive; // Last frame number the window was Active.
int LastFrameJustFocused; // Last frame number the window was made Focused.
float LastTimeActive; // Last timestamp the window was Active (using float as we don't need high precision there)
float ItemWidthDefault;
ImGuiStorage StateStorage;
ImVector<ImGuiOldColumns> ColumnsStorage;
float FontWindowScale; // User scale multiplier per-window, via SetWindowFontScale()
float FontDpiScale;
int SettingsOffset; // Offset into SettingsWindows[] (offsets are always valid as we only grow the array from the back)
ImDrawList* DrawList; // == &DrawListInst (for backward compatibility reason with code using imgui_internal.h we keep this a pointer)
ImDrawList DrawListInst;
ImGuiWindow* ParentWindow; // If we are a child _or_ popup _or_ docked window, this is pointing to our parent. Otherwise NULL.
ImGuiWindow* ParentWindowInBeginStack;
ImGuiWindow* RootWindow; // Point to ourself or first ancestor that is not a child window. Doesn't cross through popups/dock nodes.
ImGuiWindow* RootWindowPopupTree; // Point to ourself or first ancestor that is not a child window. Cross through popups parent<>child.
ImGuiWindow* RootWindowDockTree; // Point to ourself or first ancestor that is not a child window. Cross through dock nodes.
ImGuiWindow* RootWindowForTitleBarHighlight; // Point to ourself or first ancestor which will display TitleBgActive color when this window is active.
ImGuiWindow* RootWindowForNav; // Point to ourself or first ancestor which doesn't have the NavFlattened flag.
ImGuiWindow* NavLastChildNavWindow; // When going to the menu bar, we remember the child window we came from. (This could probably be made implicit if we kept g.Windows sorted by last focused including child window.)
ImGuiID NavLastIds[ImGuiNavLayer_COUNT]; // Last known NavId for this window, per layer (0/1)
ImRect NavRectRel[ImGuiNavLayer_COUNT]; // Reference rectangle, in window relative space
ImGuiID NavRootFocusScopeId; // Focus Scope ID at the time of Begin()
int MemoryDrawListIdxCapacity; // Backup of last idx/vtx count, so when waking up the window we can preallocate and avoid iterative alloc/copy
int MemoryDrawListVtxCapacity;
bool MemoryCompacted; // Set when window extraneous data have been garbage collected
// Docking
bool DockIsActive :1; // When docking artifacts are actually visible. When this is set, DockNode is guaranteed to be != NULL. ~~ (DockNode != NULL) && (DockNode->Windows.Size > 1).
bool DockNodeIsVisible :1;
bool DockTabIsVisible :1; // Is our window visible this frame? ~~ is the corresponding tab selected?
bool DockTabWantClose :1;
short DockOrder; // Order of the last time the window was visible within its DockNode. This is used to reorder windows that are reappearing on the same frame. Same value between windows that were active and windows that were none are possible.
ImGuiWindowDockStyle DockStyle;
ImGuiDockNode* DockNode; // Which node are we docked into. Important: Prefer testing DockIsActive in many cases as this will still be set when the dock node is hidden.
ImGuiDockNode* DockNodeAsHost; // Which node are we owning (for parent windows)
ImGuiID DockId; // Backup of last valid DockNode->ID, so single window remember their dock node id even when they are not bound any more
ImGuiItemStatusFlags DockTabItemStatusFlags;
ImRect DockTabItemRect;
public:
ImGuiWindow(ImGuiContext* context, const char* name);
~ImGuiWindow();
ImGuiID GetID(const char* str, const char* str_end = NULL);
ImGuiID GetID(const void* ptr);
ImGuiID GetID(int n);
ImGuiID GetIDFromRectangle(const ImRect& r_abs);
// We don't use g.FontSize because the window may be != g.CurrentWindow.
ImRect Rect() const { return ImRect(Pos.x, Pos.y, Pos.x + Size.x, Pos.y + Size.y); }
float CalcFontSize() const { ImGuiContext& g = *Ctx; float scale = g.FontBaseSize * FontWindowScale * FontDpiScale; if (ParentWindow) scale *= ParentWindow->FontWindowScale; return scale; }
float TitleBarHeight() const { ImGuiContext& g = *Ctx; return (Flags & ImGuiWindowFlags_NoTitleBar) ? 0.0f : CalcFontSize() + g.Style.FramePadding.y * 2.0f; }
ImRect TitleBarRect() const { return ImRect(Pos, ImVec2(Pos.x + SizeFull.x, Pos.y + TitleBarHeight())); }
float MenuBarHeight() const { ImGuiContext& g = *Ctx; return (Flags & ImGuiWindowFlags_MenuBar) ? DC.MenuBarOffset.y + CalcFontSize() + g.Style.FramePadding.y * 2.0f : 0.0f; }
ImRect MenuBarRect() const { float y1 = Pos.y + TitleBarHeight(); return ImRect(Pos.x, y1, Pos.x + SizeFull.x, y1 + MenuBarHeight()); }
};
//-----------------------------------------------------------------------------
// [SECTION] Tab bar, Tab item support
//-----------------------------------------------------------------------------
// Extend ImGuiTabBarFlags_
enum ImGuiTabBarFlagsPrivate_
{
ImGuiTabBarFlags_DockNode = 1 << 20, // Part of a dock node [we don't use this in the master branch but it facilitate branch syncing to keep this around]
ImGuiTabBarFlags_IsFocused = 1 << 21,
ImGuiTabBarFlags_SaveSettings = 1 << 22, // FIXME: Settings are handled by the docking system, this only request the tab bar to mark settings dirty when reordering tabs
};
// Extend ImGuiTabItemFlags_
enum ImGuiTabItemFlagsPrivate_
{
ImGuiTabItemFlags_SectionMask_ = ImGuiTabItemFlags_Leading | ImGuiTabItemFlags_Trailing,
ImGuiTabItemFlags_NoCloseButton = 1 << 20, // Track whether p_open was set or not (we'll need this info on the next frame to recompute ContentWidth during layout)
ImGuiTabItemFlags_Button = 1 << 21, // Used by TabItemButton, change the tab item behavior to mimic a button
ImGuiTabItemFlags_Unsorted = 1 << 22, // [Docking] Trailing tabs with the _Unsorted flag will be sorted based on the DockOrder of their Window.
ImGuiTabItemFlags_Preview = 1 << 23, // [Docking] Display tab shape for docking preview (height is adjusted slightly to compensate for the yet missing tab bar)
};
// Storage for one active tab item (sizeof() 48 bytes)
struct ImGuiTabItem
{
ImGuiID ID;
ImGuiTabItemFlags Flags;
ImGuiWindow* Window; // When TabItem is part of a DockNode's TabBar, we hold on to a window.
int LastFrameVisible;
int LastFrameSelected; // This allows us to infer an ordered list of the last activated tabs with little maintenance
float Offset; // Position relative to beginning of tab
float Width; // Width currently displayed
float ContentWidth; // Width of label, stored during BeginTabItem() call
float RequestedWidth; // Width optionally requested by caller, -1.0f is unused
ImS32 NameOffset; // When Window==NULL, offset to name within parent ImGuiTabBar::TabsNames
ImS16 BeginOrder; // BeginTabItem() order, used to re-order tabs after toggling ImGuiTabBarFlags_Reorderable
ImS16 IndexDuringLayout; // Index only used during TabBarLayout(). Tabs gets reordered so 'Tabs[n].IndexDuringLayout == n' but may mismatch during additions.
bool WantClose; // Marked as closed by SetTabItemClosed()
ImGuiTabItem() { memset(this, 0, sizeof(*this)); LastFrameVisible = LastFrameSelected = -1; RequestedWidth = -1.0f; NameOffset = -1; BeginOrder = IndexDuringLayout = -1; }
};
// Storage for a tab bar (sizeof() 152 bytes)
struct IMGUI_API ImGuiTabBar
{
ImVector<ImGuiTabItem> Tabs;
ImGuiTabBarFlags Flags;
ImGuiID ID; // Zero for tab-bars used by docking
ImGuiID SelectedTabId; // Selected tab/window
ImGuiID NextSelectedTabId; // Next selected tab/window. Will also trigger a scrolling animation
ImGuiID VisibleTabId; // Can occasionally be != SelectedTabId (e.g. when previewing contents for CTRL+TAB preview)
int CurrFrameVisible;
int PrevFrameVisible;
ImRect BarRect;
float CurrTabsContentsHeight;
float PrevTabsContentsHeight; // Record the height of contents submitted below the tab bar
float WidthAllTabs; // Actual width of all tabs (locked during layout)
float WidthAllTabsIdeal; // Ideal width if all tabs were visible and not clipped
float ScrollingAnim;
float ScrollingTarget;
float ScrollingTargetDistToVisibility;
float ScrollingSpeed;
float ScrollingRectMinX;
float ScrollingRectMaxX;
ImGuiID ReorderRequestTabId;
ImS16 ReorderRequestOffset;
ImS8 BeginCount;
bool WantLayout;
bool VisibleTabWasSubmitted;
bool TabsAddedNew; // Set to true when a new tab item or button has been added to the tab bar during last frame
ImS16 TabsActiveCount; // Number of tabs submitted this frame.
ImS16 LastTabItemIdx; // Index of last BeginTabItem() tab for use by EndTabItem()
float ItemSpacingY;
ImVec2 FramePadding; // style.FramePadding locked at the time of BeginTabBar()
ImVec2 BackupCursorPos;
ImGuiTextBuffer TabsNames; // For non-docking tab bar we re-append names in a contiguous buffer.
ImGuiTabBar();
};
//-----------------------------------------------------------------------------
// [SECTION] Table support
//-----------------------------------------------------------------------------
#define IM_COL32_DISABLE IM_COL32(0,0,0,1) // Special sentinel code which cannot be used as a regular color.
#define IMGUI_TABLE_MAX_COLUMNS 512 // May be further lifted
// Our current column maximum is 64 but we may raise that in the future.
typedef ImS16 ImGuiTableColumnIdx;
typedef ImU16 ImGuiTableDrawChannelIdx;
// [Internal] sizeof() ~ 104
// We use the terminology "Enabled" to refer to a column that is not Hidden by user/api.
// We use the terminology "Clipped" to refer to a column that is out of sight because of scrolling/clipping.
// This is in contrast with some user-facing api such as IsItemVisible() / IsRectVisible() which use "Visible" to mean "not clipped".
struct ImGuiTableColumn
{
ImGuiTableColumnFlags Flags; // Flags after some patching (not directly same as provided by user). See ImGuiTableColumnFlags_
float WidthGiven; // Final/actual width visible == (MaxX - MinX), locked in TableUpdateLayout(). May be > WidthRequest to honor minimum width, may be < WidthRequest to honor shrinking columns down in tight space.
float MinX; // Absolute positions
float MaxX;
float WidthRequest; // Master width absolute value when !(Flags & _WidthStretch). When Stretch this is derived every frame from StretchWeight in TableUpdateLayout()
float WidthAuto; // Automatic width
float StretchWeight; // Master width weight when (Flags & _WidthStretch). Often around ~1.0f initially.
float InitStretchWeightOrWidth; // Value passed to TableSetupColumn(). For Width it is a content width (_without padding_).
ImRect ClipRect; // Clipping rectangle for the column
ImGuiID UserID; // Optional, value passed to TableSetupColumn()
float WorkMinX; // Contents region min ~(MinX + CellPaddingX + CellSpacingX1) == cursor start position when entering column
float WorkMaxX; // Contents region max ~(MaxX - CellPaddingX - CellSpacingX2)
float ItemWidth; // Current item width for the column, preserved across rows
float ContentMaxXFrozen; // Contents maximum position for frozen rows (apart from headers), from which we can infer content width.
float ContentMaxXUnfrozen;
float ContentMaxXHeadersUsed; // Contents maximum position for headers rows (regardless of freezing). TableHeader() automatically softclip itself + report ideal desired size, to avoid creating extraneous draw calls
float ContentMaxXHeadersIdeal;
ImS16 NameOffset; // Offset into parent ColumnsNames[]
ImGuiTableColumnIdx DisplayOrder; // Index within Table's IndexToDisplayOrder[] (column may be reordered by users)
ImGuiTableColumnIdx IndexWithinEnabledSet; // Index within enabled/visible set (<= IndexToDisplayOrder)
ImGuiTableColumnIdx PrevEnabledColumn; // Index of prev enabled/visible column within Columns[], -1 if first enabled/visible column
ImGuiTableColumnIdx NextEnabledColumn; // Index of next enabled/visible column within Columns[], -1 if last enabled/visible column
ImGuiTableColumnIdx SortOrder; // Index of this column within sort specs, -1 if not sorting on this column, 0 for single-sort, may be >0 on multi-sort
ImGuiTableDrawChannelIdx DrawChannelCurrent; // Index within DrawSplitter.Channels[]
ImGuiTableDrawChannelIdx DrawChannelFrozen; // Draw channels for frozen rows (often headers)
ImGuiTableDrawChannelIdx DrawChannelUnfrozen; // Draw channels for unfrozen rows
bool IsEnabled; // IsUserEnabled && (Flags & ImGuiTableColumnFlags_Disabled) == 0
bool IsUserEnabled; // Is the column not marked Hidden by the user? (unrelated to being off view, e.g. clipped by scrolling).
bool IsUserEnabledNextFrame;
bool IsVisibleX; // Is actually in view (e.g. overlapping the host window clipping rectangle, not scrolled).
bool IsVisibleY;
bool IsRequestOutput; // Return value for TableSetColumnIndex() / TableNextColumn(): whether we request user to output contents or not.
bool IsSkipItems; // Do we want item submissions to this column to be completely ignored (no layout will happen).
bool IsPreserveWidthAuto;
ImS8 NavLayerCurrent; // ImGuiNavLayer in 1 byte
ImU8 AutoFitQueue; // Queue of 8 values for the next 8 frames to request auto-fit
ImU8 CannotSkipItemsQueue; // Queue of 8 values for the next 8 frames to disable Clipped/SkipItem
ImU8 SortDirection : 2; // ImGuiSortDirection_Ascending or ImGuiSortDirection_Descending
ImU8 SortDirectionsAvailCount : 2; // Number of available sort directions (0 to 3)
ImU8 SortDirectionsAvailMask : 4; // Mask of available sort directions (1-bit each)
ImU8 SortDirectionsAvailList; // Ordered of available sort directions (2-bits each)
ImGuiTableColumn()
{
memset(this, 0, sizeof(*this));
StretchWeight = WidthRequest = -1.0f;
NameOffset = -1;
DisplayOrder = IndexWithinEnabledSet = -1;
PrevEnabledColumn = NextEnabledColumn = -1;
SortOrder = -1;
SortDirection = ImGuiSortDirection_None;
DrawChannelCurrent = DrawChannelFrozen = DrawChannelUnfrozen = (ImU8)-1;
}
};
// Transient cell data stored per row.
// sizeof() ~ 6
struct ImGuiTableCellData
{
ImU32 BgColor; // Actual color
ImGuiTableColumnIdx Column; // Column number
};
// Per-instance data that needs preserving across frames (seemingly most others do not need to be preserved aside from debug needs. Does that means they could be moved to ImGuiTableTempData?)
struct ImGuiTableInstanceData
{
ImGuiID TableInstanceID;
float LastOuterHeight; // Outer height from last frame
float LastFirstRowHeight; // Height of first row from last frame (FIXME: this is used as "header height" and may be reworked)
float LastFrozenHeight; // Height of frozen section from last frame
ImGuiTableInstanceData() { TableInstanceID = 0; LastOuterHeight = LastFirstRowHeight = LastFrozenHeight = 0.0f; }
};
// FIXME-TABLE: more transient data could be stored in a stacked ImGuiTableTempData: e.g. SortSpecs, incoming RowData
struct IMGUI_API ImGuiTable
{
ImGuiID ID;
ImGuiTableFlags Flags;
void* RawData; // Single allocation to hold Columns[], DisplayOrderToIndex[] and RowCellData[]
ImGuiTableTempData* TempData; // Transient data while table is active. Point within g.CurrentTableStack[]
ImSpan<ImGuiTableColumn> Columns; // Point within RawData[]
ImSpan<ImGuiTableColumnIdx> DisplayOrderToIndex; // Point within RawData[]. Store display order of columns (when not reordered, the values are 0...Count-1)
ImSpan<ImGuiTableCellData> RowCellData; // Point within RawData[]. Store cells background requests for current row.
ImBitArrayPtr EnabledMaskByDisplayOrder; // Column DisplayOrder -> IsEnabled map
ImBitArrayPtr EnabledMaskByIndex; // Column Index -> IsEnabled map (== not hidden by user/api) in a format adequate for iterating column without touching cold data
ImBitArrayPtr VisibleMaskByIndex; // Column Index -> IsVisibleX|IsVisibleY map (== not hidden by user/api && not hidden by scrolling/cliprect)
ImGuiTableFlags SettingsLoadedFlags; // Which data were loaded from the .ini file (e.g. when order is not altered we won't save order)
int SettingsOffset; // Offset in g.SettingsTables
int LastFrameActive;
int ColumnsCount; // Number of columns declared in BeginTable()
int CurrentRow;
int CurrentColumn;
ImS16 InstanceCurrent; // Count of BeginTable() calls with same ID in the same frame (generally 0). This is a little bit similar to BeginCount for a window, but multiple table with same ID look are multiple tables, they are just synched.
ImS16 InstanceInteracted; // Mark which instance (generally 0) of the same ID is being interacted with
float RowPosY1;
float RowPosY2;
float RowMinHeight; // Height submitted to TableNextRow()
float RowTextBaseline;
float RowIndentOffsetX;
ImGuiTableRowFlags RowFlags : 16; // Current row flags, see ImGuiTableRowFlags_
ImGuiTableRowFlags LastRowFlags : 16;
int RowBgColorCounter; // Counter for alternating background colors (can be fast-forwarded by e.g clipper), not same as CurrentRow because header rows typically don't increase this.
ImU32 RowBgColor[2]; // Background color override for current row.
ImU32 BorderColorStrong;
ImU32 BorderColorLight;
float BorderX1;
float BorderX2;
float HostIndentX;
float MinColumnWidth;
float OuterPaddingX;
float CellPaddingX; // Padding from each borders
float CellPaddingY;
float CellSpacingX1; // Spacing between non-bordered cells
float CellSpacingX2;
float InnerWidth; // User value passed to BeginTable(), see comments at the top of BeginTable() for details.
float ColumnsGivenWidth; // Sum of current column width
float ColumnsAutoFitWidth; // Sum of ideal column width in order nothing to be clipped, used for auto-fitting and content width submission in outer window
float ColumnsStretchSumWeights; // Sum of weight of all enabled stretching columns
float ResizedColumnNextWidth;
float ResizeLockMinContentsX2; // Lock minimum contents width while resizing down in order to not create feedback loops. But we allow growing the table.
float RefScale; // Reference scale to be able to rescale columns on font/dpi changes.
ImRect OuterRect; // Note: for non-scrolling table, OuterRect.Max.y is often FLT_MAX until EndTable(), unless a height has been specified in BeginTable().
ImRect InnerRect; // InnerRect but without decoration. As with OuterRect, for non-scrolling tables, InnerRect.Max.y is
ImRect WorkRect;
ImRect InnerClipRect;
ImRect BgClipRect; // We use this to cpu-clip cell background color fill, evolve during the frame as we cross frozen rows boundaries
ImRect Bg0ClipRectForDrawCmd; // Actual ImDrawCmd clip rect for BG0/1 channel. This tends to be == OuterWindow->ClipRect at BeginTable() because output in BG0/BG1 is cpu-clipped
ImRect Bg2ClipRectForDrawCmd; // Actual ImDrawCmd clip rect for BG2 channel. This tends to be a correct, tight-fit, because output to BG2 are done by widgets relying on regular ClipRect.
ImRect HostClipRect; // This is used to check if we can eventually merge our columns draw calls into the current draw call of the current window.
ImRect HostBackupInnerClipRect; // Backup of InnerWindow->ClipRect during PushTableBackground()/PopTableBackground()
ImGuiWindow* OuterWindow; // Parent window for the table
ImGuiWindow* InnerWindow; // Window holding the table data (== OuterWindow or a child window)
ImGuiTextBuffer ColumnsNames; // Contiguous buffer holding columns names
ImDrawListSplitter* DrawSplitter; // Shortcut to TempData->DrawSplitter while in table. Isolate draw commands per columns to avoid switching clip rect constantly
ImGuiTableInstanceData InstanceDataFirst;
ImVector<ImGuiTableInstanceData> InstanceDataExtra; // FIXME-OPT: Using a small-vector pattern would be good.
ImGuiTableColumnSortSpecs SortSpecsSingle;
ImVector<ImGuiTableColumnSortSpecs> SortSpecsMulti; // FIXME-OPT: Using a small-vector pattern would be good.
ImGuiTableSortSpecs SortSpecs; // Public facing sorts specs, this is what we return in TableGetSortSpecs()
ImGuiTableColumnIdx SortSpecsCount;
ImGuiTableColumnIdx ColumnsEnabledCount; // Number of enabled columns (<= ColumnsCount)
ImGuiTableColumnIdx ColumnsEnabledFixedCount; // Number of enabled columns (<= ColumnsCount)
ImGuiTableColumnIdx DeclColumnsCount; // Count calls to TableSetupColumn()
ImGuiTableColumnIdx HoveredColumnBody; // Index of column whose visible region is being hovered. Important: == ColumnsCount when hovering empty region after the right-most column!
ImGuiTableColumnIdx HoveredColumnBorder; // Index of column whose right-border is being hovered (for resizing).
ImGuiTableColumnIdx AutoFitSingleColumn; // Index of single column requesting auto-fit.
ImGuiTableColumnIdx ResizedColumn; // Index of column being resized. Reset when InstanceCurrent==0.
ImGuiTableColumnIdx LastResizedColumn; // Index of column being resized from previous frame.
ImGuiTableColumnIdx HeldHeaderColumn; // Index of column header being held.
ImGuiTableColumnIdx ReorderColumn; // Index of column being reordered. (not cleared)
ImGuiTableColumnIdx ReorderColumnDir; // -1 or +1
ImGuiTableColumnIdx LeftMostEnabledColumn; // Index of left-most non-hidden column.
ImGuiTableColumnIdx RightMostEnabledColumn; // Index of right-most non-hidden column.
ImGuiTableColumnIdx LeftMostStretchedColumn; // Index of left-most stretched column.
ImGuiTableColumnIdx RightMostStretchedColumn; // Index of right-most stretched column.
ImGuiTableColumnIdx ContextPopupColumn; // Column right-clicked on, of -1 if opening context menu from a neutral/empty spot
ImGuiTableColumnIdx FreezeRowsRequest; // Requested frozen rows count
ImGuiTableColumnIdx FreezeRowsCount; // Actual frozen row count (== FreezeRowsRequest, or == 0 when no scrolling offset)
ImGuiTableColumnIdx FreezeColumnsRequest; // Requested frozen columns count
ImGuiTableColumnIdx FreezeColumnsCount; // Actual frozen columns count (== FreezeColumnsRequest, or == 0 when no scrolling offset)
ImGuiTableColumnIdx RowCellDataCurrent; // Index of current RowCellData[] entry in current row
ImGuiTableDrawChannelIdx DummyDrawChannel; // Redirect non-visible columns here.
ImGuiTableDrawChannelIdx Bg2DrawChannelCurrent; // For Selectable() and other widgets drawing across columns after the freezing line. Index within DrawSplitter.Channels[]
ImGuiTableDrawChannelIdx Bg2DrawChannelUnfrozen;
bool IsLayoutLocked; // Set by TableUpdateLayout() which is called when beginning the first row.
bool IsInsideRow; // Set when inside TableBeginRow()/TableEndRow().
bool IsInitializing;
bool IsSortSpecsDirty;
bool IsUsingHeaders; // Set when the first row had the ImGuiTableRowFlags_Headers flag.
bool IsContextPopupOpen; // Set when default context menu is open (also see: ContextPopupColumn, InstanceInteracted).
bool IsSettingsRequestLoad;
bool IsSettingsDirty; // Set when table settings have changed and needs to be reported into ImGuiTableSetttings data.
bool IsDefaultDisplayOrder; // Set when display order is unchanged from default (DisplayOrder contains 0...Count-1)
bool IsResetAllRequest;
bool IsResetDisplayOrderRequest;
bool IsUnfrozenRows; // Set when we got past the frozen row.
bool IsDefaultSizingPolicy; // Set if user didn't explicitly set a sizing policy in BeginTable()
bool HasScrollbarYCurr; // Whether ANY instance of this table had a vertical scrollbar during the current frame.
bool HasScrollbarYPrev; // Whether ANY instance of this table had a vertical scrollbar during the previous.
bool MemoryCompacted;
bool HostSkipItems; // Backup of InnerWindow->SkipItem at the end of BeginTable(), because we will overwrite InnerWindow->SkipItem on a per-column basis
ImGuiTable() { memset(this, 0, sizeof(*this)); LastFrameActive = -1; }
~ImGuiTable() { IM_FREE(RawData); }
};
// Transient data that are only needed between BeginTable() and EndTable(), those buffers are shared (1 per level of stacked table).
// - Accessing those requires chasing an extra pointer so for very frequently used data we leave them in the main table structure.
// - We also leave out of this structure data that tend to be particularly useful for debugging/metrics.
struct IMGUI_API ImGuiTableTempData
{
int TableIndex; // Index in g.Tables.Buf[] pool
float LastTimeActive; // Last timestamp this structure was used
ImVec2 UserOuterSize; // outer_size.x passed to BeginTable()
ImDrawListSplitter DrawSplitter;
ImRect HostBackupWorkRect; // Backup of InnerWindow->WorkRect at the end of BeginTable()
ImRect HostBackupParentWorkRect; // Backup of InnerWindow->ParentWorkRect at the end of BeginTable()
ImVec2 HostBackupPrevLineSize; // Backup of InnerWindow->DC.PrevLineSize at the end of BeginTable()
ImVec2 HostBackupCurrLineSize; // Backup of InnerWindow->DC.CurrLineSize at the end of BeginTable()
ImVec2 HostBackupCursorMaxPos; // Backup of InnerWindow->DC.CursorMaxPos at the end of BeginTable()
ImVec1 HostBackupColumnsOffset; // Backup of OuterWindow->DC.ColumnsOffset at the end of BeginTable()
float HostBackupItemWidth; // Backup of OuterWindow->DC.ItemWidth at the end of BeginTable()
int HostBackupItemWidthStackSize;//Backup of OuterWindow->DC.ItemWidthStack.Size at the end of BeginTable()
ImGuiTableTempData() { memset(this, 0, sizeof(*this)); LastTimeActive = -1.0f; }
};
// sizeof() ~ 12
struct ImGuiTableColumnSettings
{
float WidthOrWeight;
ImGuiID UserID;
ImGuiTableColumnIdx Index;
ImGuiTableColumnIdx DisplayOrder;
ImGuiTableColumnIdx SortOrder;
ImU8 SortDirection : 2;
ImU8 IsEnabled : 1; // "Visible" in ini file
ImU8 IsStretch : 1;
ImGuiTableColumnSettings()
{
WidthOrWeight = 0.0f;
UserID = 0;
Index = -1;
DisplayOrder = SortOrder = -1;
SortDirection = ImGuiSortDirection_None;
IsEnabled = 1;
IsStretch = 0;
}
};
// This is designed to be stored in a single ImChunkStream (1 header followed by N ImGuiTableColumnSettings, etc.)
struct ImGuiTableSettings
{
ImGuiID ID; // Set to 0 to invalidate/delete the setting
ImGuiTableFlags SaveFlags; // Indicate data we want to save using the Resizable/Reorderable/Sortable/Hideable flags (could be using its own flags..)
float RefScale; // Reference scale to be able to rescale columns on font/dpi changes.
ImGuiTableColumnIdx ColumnsCount;
ImGuiTableColumnIdx ColumnsCountMax; // Maximum number of columns this settings instance can store, we can recycle a settings instance with lower number of columns but not higher
bool WantApply; // Set when loaded from .ini data (to enable merging/loading .ini data into an already running context)
ImGuiTableSettings() { memset(this, 0, sizeof(*this)); }
ImGuiTableColumnSettings* GetColumnSettings() { return (ImGuiTableColumnSettings*)(this + 1); }
};
//-----------------------------------------------------------------------------
// [SECTION] ImGui internal API
// No guarantee of forward compatibility here!
//-----------------------------------------------------------------------------
namespace ImGui
{
// Windows
// We should always have a CurrentWindow in the stack (there is an implicit "Debug" window)
// If this ever crash because g.CurrentWindow is NULL it means that either
// - ImGui::NewFrame() has never been called, which is illegal.
// - You are calling ImGui functions after ImGui::EndFrame()/ImGui::Render() and before the next ImGui::NewFrame(), which is also illegal.
inline ImGuiWindow* GetCurrentWindowRead() { ImGuiContext& g = *GImGui; return g.CurrentWindow; }
inline ImGuiWindow* GetCurrentWindow() { ImGuiContext& g = *GImGui; g.CurrentWindow->WriteAccessed = true; return g.CurrentWindow; }
IMGUI_API ImGuiWindow* FindWindowByID(ImGuiID id);
IMGUI_API ImGuiWindow* FindWindowByName(const char* name);
IMGUI_API void UpdateWindowParentAndRootLinks(ImGuiWindow* window, ImGuiWindowFlags flags, ImGuiWindow* parent_window);
IMGUI_API ImVec2 CalcWindowNextAutoFitSize(ImGuiWindow* window);
IMGUI_API bool IsWindowChildOf(ImGuiWindow* window, ImGuiWindow* potential_parent, bool popup_hierarchy, bool dock_hierarchy);
IMGUI_API bool IsWindowWithinBeginStackOf(ImGuiWindow* window, ImGuiWindow* potential_parent);
IMGUI_API bool IsWindowAbove(ImGuiWindow* potential_above, ImGuiWindow* potential_below);
IMGUI_API bool IsWindowNavFocusable(ImGuiWindow* window);
IMGUI_API void SetWindowPos(ImGuiWindow* window, const ImVec2& pos, ImGuiCond cond = 0);
IMGUI_API void SetWindowSize(ImGuiWindow* window, const ImVec2& size, ImGuiCond cond = 0);
IMGUI_API void SetWindowCollapsed(ImGuiWindow* window, bool collapsed, ImGuiCond cond = 0);
IMGUI_API void SetWindowHitTestHole(ImGuiWindow* window, const ImVec2& pos, const ImVec2& size);
IMGUI_API void SetWindowHiddendAndSkipItemsForCurrentFrame(ImGuiWindow* window);
inline ImRect WindowRectAbsToRel(ImGuiWindow* window, const ImRect& r) { ImVec2 off = window->DC.CursorStartPos; return ImRect(r.Min.x - off.x, r.Min.y - off.y, r.Max.x - off.x, r.Max.y - off.y); }
inline ImRect WindowRectRelToAbs(ImGuiWindow* window, const ImRect& r) { ImVec2 off = window->DC.CursorStartPos; return ImRect(r.Min.x + off.x, r.Min.y + off.y, r.Max.x + off.x, r.Max.y + off.y); }
// Windows: Display Order and Focus Order
IMGUI_API void FocusWindow(ImGuiWindow* window);
IMGUI_API void FocusTopMostWindowUnderOne(ImGuiWindow* under_this_window, ImGuiWindow* ignore_window, ImGuiViewport* filter_viewport);
IMGUI_API void BringWindowToFocusFront(ImGuiWindow* window);
IMGUI_API void BringWindowToDisplayFront(ImGuiWindow* window);
IMGUI_API void BringWindowToDisplayBack(ImGuiWindow* window);
IMGUI_API void BringWindowToDisplayBehind(ImGuiWindow* window, ImGuiWindow* above_window);
IMGUI_API int FindWindowDisplayIndex(ImGuiWindow* window);
IMGUI_API ImGuiWindow* FindBottomMostVisibleWindowWithinBeginStack(ImGuiWindow* window);
// Fonts, drawing
IMGUI_API void SetCurrentFont(ImFont* font);
inline ImFont* GetDefaultFont() { ImGuiContext& g = *GImGui; return g.IO.FontDefault ? g.IO.FontDefault : g.IO.Fonts->Fonts[0]; }
inline ImDrawList* GetForegroundDrawList(ImGuiWindow* window) { return GetForegroundDrawList(window->Viewport); }
// Init
IMGUI_API void Initialize();
IMGUI_API void Shutdown(); // Since 1.60 this is a _private_ function. You can call DestroyContext() to destroy the context created by CreateContext().
// NewFrame
IMGUI_API void UpdateInputEvents(bool trickle_fast_inputs);
IMGUI_API void UpdateHoveredWindowAndCaptureFlags();
IMGUI_API void StartMouseMovingWindow(ImGuiWindow* window);
IMGUI_API void StartMouseMovingWindowOrNode(ImGuiWindow* window, ImGuiDockNode* node, bool undock_floating_node);
IMGUI_API void UpdateMouseMovingWindowNewFrame();
IMGUI_API void UpdateMouseMovingWindowEndFrame();
// Generic context hooks
IMGUI_API ImGuiID AddContextHook(ImGuiContext* context, const ImGuiContextHook* hook);
IMGUI_API void RemoveContextHook(ImGuiContext* context, ImGuiID hook_to_remove);
IMGUI_API void CallContextHooks(ImGuiContext* context, ImGuiContextHookType type);
// Viewports
IMGUI_API void TranslateWindowsInViewport(ImGuiViewportP* viewport, const ImVec2& old_pos, const ImVec2& new_pos);
IMGUI_API void ScaleWindowsInViewport(ImGuiViewportP* viewport, float scale);
IMGUI_API void DestroyPlatformWindow(ImGuiViewportP* viewport);
IMGUI_API void SetWindowViewport(ImGuiWindow* window, ImGuiViewportP* viewport);
IMGUI_API void SetCurrentViewport(ImGuiWindow* window, ImGuiViewportP* viewport);
IMGUI_API const ImGuiPlatformMonitor* GetViewportPlatformMonitor(ImGuiViewport* viewport);
IMGUI_API ImGuiViewportP* FindHoveredViewportFromPlatformWindowStack(const ImVec2& mouse_platform_pos);
// Settings
IMGUI_API void MarkIniSettingsDirty();
IMGUI_API void MarkIniSettingsDirty(ImGuiWindow* window);
IMGUI_API void ClearIniSettings();
IMGUI_API void AddSettingsHandler(const ImGuiSettingsHandler* handler);
IMGUI_API void RemoveSettingsHandler(const char* type_name);
IMGUI_API ImGuiSettingsHandler* FindSettingsHandler(const char* type_name);
// Settings - Windows
IMGUI_API ImGuiWindowSettings* CreateNewWindowSettings(const char* name);
IMGUI_API ImGuiWindowSettings* FindWindowSettingsByID(ImGuiID id);
IMGUI_API ImGuiWindowSettings* FindWindowSettingsByWindow(ImGuiWindow* window);
IMGUI_API void ClearWindowSettings(const char* name);
// Localization
IMGUI_API void LocalizeRegisterEntries(const ImGuiLocEntry* entries, int count);
inline const char* LocalizeGetMsg(ImGuiLocKey key) { ImGuiContext& g = *GImGui; const char* msg = g.LocalizationTable[key]; return msg ? msg : "*Missing Text*"; }
// Scrolling
IMGUI_API void SetScrollX(ImGuiWindow* window, float scroll_x);
IMGUI_API void SetScrollY(ImGuiWindow* window, float scroll_y);
IMGUI_API void SetScrollFromPosX(ImGuiWindow* window, float local_x, float center_x_ratio);
IMGUI_API void SetScrollFromPosY(ImGuiWindow* window, float local_y, float center_y_ratio);
// Early work-in-progress API (ScrollToItem() will become public)
IMGUI_API void ScrollToItem(ImGuiScrollFlags flags = 0);
IMGUI_API void ScrollToRect(ImGuiWindow* window, const ImRect& rect, ImGuiScrollFlags flags = 0);
IMGUI_API ImVec2 ScrollToRectEx(ImGuiWindow* window, const ImRect& rect, ImGuiScrollFlags flags = 0);
//#ifndef IMGUI_DISABLE_OBSOLETE_FUNCTIONS
inline void ScrollToBringRectIntoView(ImGuiWindow* window, const ImRect& rect) { ScrollToRect(window, rect, ImGuiScrollFlags_KeepVisibleEdgeY); }
//#endif
// Basic Accessors
inline ImGuiItemStatusFlags GetItemStatusFlags(){ ImGuiContext& g = *GImGui; return g.LastItemData.StatusFlags; }
inline ImGuiItemFlags GetItemFlags() { ImGuiContext& g = *GImGui; return g.LastItemData.InFlags; }
inline ImGuiID GetActiveID() { ImGuiContext& g = *GImGui; return g.ActiveId; }
inline ImGuiID GetFocusID() { ImGuiContext& g = *GImGui; return g.NavId; }
IMGUI_API void SetActiveID(ImGuiID id, ImGuiWindow* window);
IMGUI_API void SetFocusID(ImGuiID id, ImGuiWindow* window);
IMGUI_API void ClearActiveID();
IMGUI_API ImGuiID GetHoveredID();
IMGUI_API void SetHoveredID(ImGuiID id);
IMGUI_API void KeepAliveID(ImGuiID id);
IMGUI_API void MarkItemEdited(ImGuiID id); // Mark data associated to given item as "edited", used by IsItemDeactivatedAfterEdit() function.
IMGUI_API void PushOverrideID(ImGuiID id); // Push given value as-is at the top of the ID stack (whereas PushID combines old and new hashes)
IMGUI_API ImGuiID GetIDWithSeed(const char* str_id_begin, const char* str_id_end, ImGuiID seed);
IMGUI_API ImGuiID GetIDWithSeed(int n, ImGuiID seed);
// Basic Helpers for widget code
IMGUI_API void ItemSize(const ImVec2& size, float text_baseline_y = -1.0f);
inline void ItemSize(const ImRect& bb, float text_baseline_y = -1.0f) { ItemSize(bb.GetSize(), text_baseline_y); } // FIXME: This is a misleading API since we expect CursorPos to be bb.Min.
IMGUI_API bool ItemAdd(const ImRect& bb, ImGuiID id, const ImRect* nav_bb = NULL, ImGuiItemFlags extra_flags = 0);
IMGUI_API bool ItemHoverable(const ImRect& bb, ImGuiID id);
IMGUI_API bool IsWindowContentHoverable(ImGuiWindow* window, ImGuiHoveredFlags flags = 0);
IMGUI_API bool IsClippedEx(const ImRect& bb, ImGuiID id);
IMGUI_API void SetLastItemData(ImGuiID item_id, ImGuiItemFlags in_flags, ImGuiItemStatusFlags status_flags, const ImRect& item_rect);
IMGUI_API ImVec2 CalcItemSize(ImVec2 size, float default_w, float default_h);
IMGUI_API float CalcWrapWidthForPos(const ImVec2& pos, float wrap_pos_x);
IMGUI_API void PushMultiItemsWidths(int components, float width_full);
IMGUI_API bool IsItemToggledSelection(); // Was the last item selection toggled? (after Selectable(), TreeNode() etc. We only returns toggle _event_ in order to handle clipping correctly)
IMGUI_API ImVec2 GetContentRegionMaxAbs();
IMGUI_API void ShrinkWidths(ImGuiShrinkWidthItem* items, int count, float width_excess);
// Parameter stacks (shared)
IMGUI_API void PushItemFlag(ImGuiItemFlags option, bool enabled);
IMGUI_API void PopItemFlag();
IMGUI_API const ImGuiDataVarInfo* GetStyleVarInfo(ImGuiStyleVar idx);
// Logging/Capture
IMGUI_API void LogBegin(ImGuiLogType type, int auto_open_depth); // -> BeginCapture() when we design v2 api, for now stay under the radar by using the old name.
IMGUI_API void LogToBuffer(int auto_open_depth = -1); // Start logging/capturing to internal buffer
IMGUI_API void LogRenderedText(const ImVec2* ref_pos, const char* text, const char* text_end = NULL);
IMGUI_API void LogSetNextTextDecoration(const char* prefix, const char* suffix);
// Popups, Modals, Tooltips
IMGUI_API bool BeginChildEx(const char* name, ImGuiID id, const ImVec2& size_arg, bool border, ImGuiWindowFlags flags);
IMGUI_API void OpenPopupEx(ImGuiID id, ImGuiPopupFlags popup_flags = ImGuiPopupFlags_None);
IMGUI_API void ClosePopupToLevel(int remaining, bool restore_focus_to_window_under_popup);
IMGUI_API void ClosePopupsOverWindow(ImGuiWindow* ref_window, bool restore_focus_to_window_under_popup);
IMGUI_API void ClosePopupsExceptModals();
IMGUI_API bool IsPopupOpen(ImGuiID id, ImGuiPopupFlags popup_flags);
IMGUI_API bool BeginPopupEx(ImGuiID id, ImGuiWindowFlags extra_flags);
IMGUI_API bool BeginTooltipEx(ImGuiTooltipFlags tooltip_flags, ImGuiWindowFlags extra_window_flags);
IMGUI_API ImRect GetPopupAllowedExtentRect(ImGuiWindow* window);
IMGUI_API ImGuiWindow* GetTopMostPopupModal();
IMGUI_API ImGuiWindow* GetTopMostAndVisiblePopupModal();
IMGUI_API ImVec2 FindBestWindowPosForPopup(ImGuiWindow* window);
IMGUI_API ImVec2 FindBestWindowPosForPopupEx(const ImVec2& ref_pos, const ImVec2& size, ImGuiDir* last_dir, const ImRect& r_outer, const ImRect& r_avoid, ImGuiPopupPositionPolicy policy);
// Menus
IMGUI_API bool BeginViewportSideBar(const char* name, ImGuiViewport* viewport, ImGuiDir dir, float size, ImGuiWindowFlags window_flags);
IMGUI_API bool BeginMenuEx(const char* label, const char* icon, bool enabled = true);
IMGUI_API bool MenuItemEx(const char* label, const char* icon, const char* shortcut = NULL, bool selected = false, bool enabled = true);
// Combos
IMGUI_API bool BeginComboPopup(ImGuiID popup_id, const ImRect& bb, ImGuiComboFlags flags);
IMGUI_API bool BeginComboPreview();
IMGUI_API void EndComboPreview();
// Gamepad/Keyboard Navigation
IMGUI_API void NavInitWindow(ImGuiWindow* window, bool force_reinit);
IMGUI_API void NavInitRequestApplyResult();
IMGUI_API bool NavMoveRequestButNoResultYet();
IMGUI_API void NavMoveRequestSubmit(ImGuiDir move_dir, ImGuiDir clip_dir, ImGuiNavMoveFlags move_flags, ImGuiScrollFlags scroll_flags);
IMGUI_API void NavMoveRequestForward(ImGuiDir move_dir, ImGuiDir clip_dir, ImGuiNavMoveFlags move_flags, ImGuiScrollFlags scroll_flags);
IMGUI_API void NavMoveRequestResolveWithLastItem(ImGuiNavItemData* result);
IMGUI_API void NavMoveRequestCancel();
IMGUI_API void NavMoveRequestApplyResult();
IMGUI_API void NavMoveRequestTryWrapping(ImGuiWindow* window, ImGuiNavMoveFlags move_flags);
IMGUI_API void ActivateItem(ImGuiID id); // Remotely activate a button, checkbox, tree node etc. given its unique ID. activation is queued and processed on the next frame when the item is encountered again.
IMGUI_API void SetNavWindow(ImGuiWindow* window);
IMGUI_API void SetNavID(ImGuiID id, ImGuiNavLayer nav_layer, ImGuiID focus_scope_id, const ImRect& rect_rel);
// Inputs
// FIXME: Eventually we should aim to move e.g. IsActiveIdUsingKey() into IsKeyXXX functions.
inline bool IsNamedKey(ImGuiKey key) { return key >= ImGuiKey_NamedKey_BEGIN && key < ImGuiKey_NamedKey_END; }
inline bool IsNamedKeyOrModKey(ImGuiKey key) { return (key >= ImGuiKey_NamedKey_BEGIN && key < ImGuiKey_NamedKey_END) || key == ImGuiMod_Ctrl || key == ImGuiMod_Shift || key == ImGuiMod_Alt || key == ImGuiMod_Super || key == ImGuiMod_Shortcut; }
inline bool IsLegacyKey(ImGuiKey key) { return key >= ImGuiKey_LegacyNativeKey_BEGIN && key < ImGuiKey_LegacyNativeKey_END; }
inline bool IsKeyboardKey(ImGuiKey key) { return key >= ImGuiKey_Keyboard_BEGIN && key < ImGuiKey_Keyboard_END; }
inline bool IsGamepadKey(ImGuiKey key) { return key >= ImGuiKey_Gamepad_BEGIN && key < ImGuiKey_Gamepad_END; }
inline bool IsMouseKey(ImGuiKey key) { return key >= ImGuiKey_Mouse_BEGIN && key < ImGuiKey_Mouse_END; }
inline bool IsAliasKey(ImGuiKey key) { return key >= ImGuiKey_Aliases_BEGIN && key < ImGuiKey_Aliases_END; }
inline ImGuiKeyChord ConvertShortcutMod(ImGuiKeyChord key_chord) { ImGuiContext& g = *GImGui; IM_ASSERT_PARANOID(key_chord & ImGuiMod_Shortcut); return (key_chord & ~ImGuiMod_Shortcut) | (g.IO.ConfigMacOSXBehaviors ? ImGuiMod_Super : ImGuiMod_Ctrl); }
inline ImGuiKey ConvertSingleModFlagToKey(ImGuiContext* ctx, ImGuiKey key)
{
ImGuiContext& g = *ctx;
if (key == ImGuiMod_Ctrl) return ImGuiKey_ReservedForModCtrl;
if (key == ImGuiMod_Shift) return ImGuiKey_ReservedForModShift;
if (key == ImGuiMod_Alt) return ImGuiKey_ReservedForModAlt;
if (key == ImGuiMod_Super) return ImGuiKey_ReservedForModSuper;
if (key == ImGuiMod_Shortcut) return (g.IO.ConfigMacOSXBehaviors ? ImGuiKey_ReservedForModSuper : ImGuiKey_ReservedForModCtrl);
return key;
}
IMGUI_API ImGuiKeyData* GetKeyData(ImGuiContext* ctx, ImGuiKey key);
inline ImGuiKeyData* GetKeyData(ImGuiKey key) { ImGuiContext& g = *GImGui; return GetKeyData(&g, key); }
IMGUI_API void GetKeyChordName(ImGuiKeyChord key_chord, char* out_buf, int out_buf_size);
inline ImGuiKey MouseButtonToKey(ImGuiMouseButton button) { IM_ASSERT(button >= 0 && button < ImGuiMouseButton_COUNT); return (ImGuiKey)(ImGuiKey_MouseLeft + button); }
IMGUI_API bool IsMouseDragPastThreshold(ImGuiMouseButton button, float lock_threshold = -1.0f);
IMGUI_API ImVec2 GetKeyMagnitude2d(ImGuiKey key_left, ImGuiKey key_right, ImGuiKey key_up, ImGuiKey key_down);
IMGUI_API float GetNavTweakPressedAmount(ImGuiAxis axis);
IMGUI_API int CalcTypematicRepeatAmount(float t0, float t1, float repeat_delay, float repeat_rate);
IMGUI_API void GetTypematicRepeatRate(ImGuiInputFlags flags, float* repeat_delay, float* repeat_rate);
IMGUI_API void SetActiveIdUsingAllKeyboardKeys();
inline bool IsActiveIdUsingNavDir(ImGuiDir dir) { ImGuiContext& g = *GImGui; return (g.ActiveIdUsingNavDirMask & (1 << dir)) != 0; }
// [EXPERIMENTAL] Low-Level: Key/Input Ownership
// - The idea is that instead of "eating" a given input, we can link to an owner id.
// - Ownership is most often claimed as a result of reacting to a press/down event (but occasionally may be claimed ahead).
// - Input queries can then read input by specifying ImGuiKeyOwner_Any (== 0), ImGuiKeyOwner_None (== -1) or a custom ID.
// - Legacy input queries (without specifying an owner or _Any or _None) are equivalent to using ImGuiKeyOwner_Any (== 0).
// - Input ownership is automatically released on the frame after a key is released. Therefore:
// - for ownership registration happening as a result of a down/press event, the SetKeyOwner() call may be done once (common case).
// - for ownership registration happening ahead of a down/press event, the SetKeyOwner() call needs to be made every frame (happens if e.g. claiming ownership on hover).
// - SetItemKeyOwner() is a shortcut for common simple case. A custom widget will probably want to call SetKeyOwner() multiple times directly based on its interaction state.
// - This is marked experimental because not all widgets are fully honoring the Set/Test idioms. We will need to move forward step by step.
// Please open a GitHub Issue to submit your usage scenario or if there's a use case you need solved.
IMGUI_API ImGuiID GetKeyOwner(ImGuiKey key);
IMGUI_API void SetKeyOwner(ImGuiKey key, ImGuiID owner_id, ImGuiInputFlags flags = 0);
IMGUI_API void SetKeyOwnersForKeyChord(ImGuiKeyChord key, ImGuiID owner_id, ImGuiInputFlags flags = 0);
IMGUI_API void SetItemKeyOwner(ImGuiKey key, ImGuiInputFlags flags = 0); // Set key owner to last item if it is hovered or active. Equivalent to 'if (IsItemHovered() || IsItemActive()) { SetKeyOwner(key, GetItemID());'.
IMGUI_API bool TestKeyOwner(ImGuiKey key, ImGuiID owner_id); // Test that key is either not owned, either owned by 'owner_id'
inline ImGuiKeyOwnerData* GetKeyOwnerData(ImGuiContext* ctx, ImGuiKey key) { if (key & ImGuiMod_Mask_) key = ConvertSingleModFlagToKey(ctx, key); IM_ASSERT(IsNamedKey(key)); return &ctx->KeysOwnerData[key - ImGuiKey_NamedKey_BEGIN]; }
// [EXPERIMENTAL] High-Level: Input Access functions w/ support for Key/Input Ownership
// - Important: legacy IsKeyPressed(ImGuiKey, bool repeat=true) _DEFAULTS_ to repeat, new IsKeyPressed() requires _EXPLICIT_ ImGuiInputFlags_Repeat flag.
// - Expected to be later promoted to public API, the prototypes are designed to replace existing ones (since owner_id can default to Any == 0)
// - Specifying a value for 'ImGuiID owner' will test that EITHER the key is NOT owned (UNLESS locked), EITHER the key is owned by 'owner'.
// Legacy functions use ImGuiKeyOwner_Any meaning that they typically ignore ownership, unless a call to SetKeyOwner() explicitly used ImGuiInputFlags_LockThisFrame or ImGuiInputFlags_LockUntilRelease.
// - Binding generators may want to ignore those for now, or suffix them with Ex() until we decide if this gets moved into public API.
IMGUI_API bool IsKeyDown(ImGuiKey key, ImGuiID owner_id);
IMGUI_API bool IsKeyPressed(ImGuiKey key, ImGuiID owner_id, ImGuiInputFlags flags = 0); // Important: when transitioning from old to new IsKeyPressed(): old API has "bool repeat = true", so would default to repeat. New API requiress explicit ImGuiInputFlags_Repeat.
IMGUI_API bool IsKeyReleased(ImGuiKey key, ImGuiID owner_id);
IMGUI_API bool IsMouseDown(ImGuiMouseButton button, ImGuiID owner_id);
IMGUI_API bool IsMouseClicked(ImGuiMouseButton button, ImGuiID owner_id, ImGuiInputFlags flags = 0);
IMGUI_API bool IsMouseReleased(ImGuiMouseButton button, ImGuiID owner_id);
// [EXPERIMENTAL] Shortcut Routing
// - ImGuiKeyChord = a ImGuiKey optionally OR-red with ImGuiMod_Alt/ImGuiMod_Ctrl/ImGuiMod_Shift/ImGuiMod_Super.
// ImGuiKey_C (accepted by functions taking ImGuiKey or ImGuiKeyChord)
// ImGuiKey_C | ImGuiMod_Ctrl (accepted by functions taking ImGuiKeyChord)
// ONLY ImGuiMod_XXX values are legal to 'OR' with an ImGuiKey. You CANNOT 'OR' two ImGuiKey values.
// - When using one of the routing flags (e.g. ImGuiInputFlags_RouteFocused): routes requested ahead of time given a chord (key + modifiers) and a routing policy.
// - Routes are resolved during NewFrame(): if keyboard modifiers are matching current ones: SetKeyOwner() is called + route is granted for the frame.
// - Route is granted to a single owner. When multiple requests are made we have policies to select the winning route.
// - Multiple read sites may use the same owner id and will all get the granted route.
// - For routing: when owner_id is 0 we use the current Focus Scope ID as a default owner in order to identify our location.
IMGUI_API bool Shortcut(ImGuiKeyChord key_chord, ImGuiID owner_id = 0, ImGuiInputFlags flags = 0);
IMGUI_API bool SetShortcutRouting(ImGuiKeyChord key_chord, ImGuiID owner_id = 0, ImGuiInputFlags flags = 0);
IMGUI_API bool TestShortcutRouting(ImGuiKeyChord key_chord, ImGuiID owner_id);
IMGUI_API ImGuiKeyRoutingData* GetShortcutRoutingData(ImGuiKeyChord key_chord);
// Docking
// (some functions are only declared in imgui.cpp, see Docking section)
IMGUI_API void DockContextInitialize(ImGuiContext* ctx);
IMGUI_API void DockContextShutdown(ImGuiContext* ctx);
IMGUI_API void DockContextClearNodes(ImGuiContext* ctx, ImGuiID root_id, bool clear_settings_refs); // Use root_id==0 to clear all
IMGUI_API void DockContextRebuildNodes(ImGuiContext* ctx);
IMGUI_API void DockContextNewFrameUpdateUndocking(ImGuiContext* ctx);
IMGUI_API void DockContextNewFrameUpdateDocking(ImGuiContext* ctx);
IMGUI_API void DockContextEndFrame(ImGuiContext* ctx);
IMGUI_API ImGuiID DockContextGenNodeID(ImGuiContext* ctx);
IMGUI_API void DockContextQueueDock(ImGuiContext* ctx, ImGuiWindow* target, ImGuiDockNode* target_node, ImGuiWindow* payload, ImGuiDir split_dir, float split_ratio, bool split_outer);
IMGUI_API void DockContextQueueUndockWindow(ImGuiContext* ctx, ImGuiWindow* window);
IMGUI_API void DockContextQueueUndockNode(ImGuiContext* ctx, ImGuiDockNode* node);
IMGUI_API void DockContextProcessUndockWindow(ImGuiContext* ctx, ImGuiWindow* window, bool clear_persistent_docking_ref = true);
IMGUI_API void DockContextProcessUndockNode(ImGuiContext* ctx, ImGuiDockNode* node);
IMGUI_API bool DockContextCalcDropPosForDocking(ImGuiWindow* target, ImGuiDockNode* target_node, ImGuiWindow* payload_window, ImGuiDockNode* payload_node, ImGuiDir split_dir, bool split_outer, ImVec2* out_pos);
IMGUI_API ImGuiDockNode*DockContextFindNodeByID(ImGuiContext* ctx, ImGuiID id);
IMGUI_API void DockNodeWindowMenuHandler_Default(ImGuiContext* ctx, ImGuiDockNode* node, ImGuiTabBar* tab_bar);
IMGUI_API bool DockNodeBeginAmendTabBar(ImGuiDockNode* node);
IMGUI_API void DockNodeEndAmendTabBar();
inline ImGuiDockNode* DockNodeGetRootNode(ImGuiDockNode* node) { while (node->ParentNode) node = node->ParentNode; return node; }
inline bool DockNodeIsInHierarchyOf(ImGuiDockNode* node, ImGuiDockNode* parent) { while (node) { if (node == parent) return true; node = node->ParentNode; } return false; }
inline int DockNodeGetDepth(const ImGuiDockNode* node) { int depth = 0; while (node->ParentNode) { node = node->ParentNode; depth++; } return depth; }
inline ImGuiID DockNodeGetWindowMenuButtonId(const ImGuiDockNode* node) { return ImHashStr("#COLLAPSE", 0, node->ID); }
inline ImGuiDockNode* GetWindowDockNode() { ImGuiContext& g = *GImGui; return g.CurrentWindow->DockNode; }
IMGUI_API bool GetWindowAlwaysWantOwnTabBar(ImGuiWindow* window);
IMGUI_API void BeginDocked(ImGuiWindow* window, bool* p_open);
IMGUI_API void BeginDockableDragDropSource(ImGuiWindow* window);
IMGUI_API void BeginDockableDragDropTarget(ImGuiWindow* window);
IMGUI_API void SetWindowDock(ImGuiWindow* window, ImGuiID dock_id, ImGuiCond cond);
// Docking - Builder function needs to be generally called before the node is used/submitted.
// - The DockBuilderXXX functions are designed to _eventually_ become a public API, but it is too early to expose it and guarantee stability.
// - Do not hold on ImGuiDockNode* pointers! They may be invalidated by any split/merge/remove operation and every frame.
// - To create a DockSpace() node, make sure to set the ImGuiDockNodeFlags_DockSpace flag when calling DockBuilderAddNode().
// You can create dockspace nodes (attached to a window) _or_ floating nodes (carry its own window) with this API.
// - DockBuilderSplitNode() create 2 child nodes within 1 node. The initial node becomes a parent node.
// - If you intend to split the node immediately after creation using DockBuilderSplitNode(), make sure
// to call DockBuilderSetNodeSize() beforehand. If you don't, the resulting split sizes may not be reliable.
// - Call DockBuilderFinish() after you are done.
IMGUI_API void DockBuilderDockWindow(const char* window_name, ImGuiID node_id);
IMGUI_API ImGuiDockNode*DockBuilderGetNode(ImGuiID node_id);
inline ImGuiDockNode* DockBuilderGetCentralNode(ImGuiID node_id) { ImGuiDockNode* node = DockBuilderGetNode(node_id); if (!node) return NULL; return DockNodeGetRootNode(node)->CentralNode; }
IMGUI_API ImGuiID DockBuilderAddNode(ImGuiID node_id = 0, ImGuiDockNodeFlags flags = 0);
IMGUI_API void DockBuilderRemoveNode(ImGuiID node_id); // Remove node and all its child, undock all windows
IMGUI_API void DockBuilderRemoveNodeDockedWindows(ImGuiID node_id, bool clear_settings_refs = true);
IMGUI_API void DockBuilderRemoveNodeChildNodes(ImGuiID node_id); // Remove all split/hierarchy. All remaining docked windows will be re-docked to the remaining root node (node_id).
IMGUI_API void DockBuilderSetNodePos(ImGuiID node_id, ImVec2 pos);
IMGUI_API void DockBuilderSetNodeSize(ImGuiID node_id, ImVec2 size);
IMGUI_API ImGuiID DockBuilderSplitNode(ImGuiID node_id, ImGuiDir split_dir, float size_ratio_for_node_at_dir, ImGuiID* out_id_at_dir, ImGuiID* out_id_at_opposite_dir); // Create 2 child nodes in this parent node.
IMGUI_API void DockBuilderCopyDockSpace(ImGuiID src_dockspace_id, ImGuiID dst_dockspace_id, ImVector<const char*>* in_window_remap_pairs);
IMGUI_API void DockBuilderCopyNode(ImGuiID src_node_id, ImGuiID dst_node_id, ImVector<ImGuiID>* out_node_remap_pairs);
IMGUI_API void DockBuilderCopyWindowSettings(const char* src_name, const char* dst_name);
IMGUI_API void DockBuilderFinish(ImGuiID node_id);
// [EXPERIMENTAL] Focus Scope
// This is generally used to identify a unique input location (for e.g. a selection set)
// There is one per window (automatically set in Begin), but:
// - Selection patterns generally need to react (e.g. clear a selection) when landing on one item of the set.
// So in order to identify a set multiple lists in same window may each need a focus scope.
// If you imagine an hypothetical BeginSelectionGroup()/EndSelectionGroup() api, it would likely call PushFocusScope()/EndFocusScope()
// - Shortcut routing also use focus scope as a default location identifier if an owner is not provided.
// We don't use the ID Stack for this as it is common to want them separate.
IMGUI_API void PushFocusScope(ImGuiID id);
IMGUI_API void PopFocusScope();
inline ImGuiID GetCurrentFocusScope() { ImGuiContext& g = *GImGui; return g.CurrentFocusScopeId; } // Focus scope we are outputting into, set by PushFocusScope()
// Drag and Drop
IMGUI_API bool IsDragDropActive();
IMGUI_API bool BeginDragDropTargetCustom(const ImRect& bb, ImGuiID id);
IMGUI_API void ClearDragDrop();
IMGUI_API bool IsDragDropPayloadBeingAccepted();
IMGUI_API void RenderDragDropTargetRect(const ImRect& bb);
// Internal Columns API (this is not exposed because we will encourage transitioning to the Tables API)
IMGUI_API void SetWindowClipRectBeforeSetChannel(ImGuiWindow* window, const ImRect& clip_rect);
IMGUI_API void BeginColumns(const char* str_id, int count, ImGuiOldColumnFlags flags = 0); // setup number of columns. use an identifier to distinguish multiple column sets. close with EndColumns().
IMGUI_API void EndColumns(); // close columns
IMGUI_API void PushColumnClipRect(int column_index);
IMGUI_API void PushColumnsBackground();
IMGUI_API void PopColumnsBackground();
IMGUI_API ImGuiID GetColumnsID(const char* str_id, int count);
IMGUI_API ImGuiOldColumns* FindOrCreateColumns(ImGuiWindow* window, ImGuiID id);
IMGUI_API float GetColumnOffsetFromNorm(const ImGuiOldColumns* columns, float offset_norm);
IMGUI_API float GetColumnNormFromOffset(const ImGuiOldColumns* columns, float offset);
// Tables: Candidates for public API
IMGUI_API void TableOpenContextMenu(int column_n = -1);
IMGUI_API void TableSetColumnWidth(int column_n, float width);
IMGUI_API void TableSetColumnSortDirection(int column_n, ImGuiSortDirection sort_direction, bool append_to_sort_specs);
IMGUI_API int TableGetHoveredColumn(); // May use (TableGetColumnFlags() & ImGuiTableColumnFlags_IsHovered) instead. Return hovered column. return -1 when table is not hovered. return columns_count if the unused space at the right of visible columns is hovered.
IMGUI_API float TableGetHeaderRowHeight();
IMGUI_API void TablePushBackgroundChannel();
IMGUI_API void TablePopBackgroundChannel();
// Tables: Internals
inline ImGuiTable* GetCurrentTable() { ImGuiContext& g = *GImGui; return g.CurrentTable; }
IMGUI_API ImGuiTable* TableFindByID(ImGuiID id);
IMGUI_API bool BeginTableEx(const char* name, ImGuiID id, int columns_count, ImGuiTableFlags flags = 0, const ImVec2& outer_size = ImVec2(0, 0), float inner_width = 0.0f);
IMGUI_API void TableBeginInitMemory(ImGuiTable* table, int columns_count);
IMGUI_API void TableBeginApplyRequests(ImGuiTable* table);
IMGUI_API void TableSetupDrawChannels(ImGuiTable* table);
IMGUI_API void TableUpdateLayout(ImGuiTable* table);
IMGUI_API void TableUpdateBorders(ImGuiTable* table);
IMGUI_API void TableUpdateColumnsWeightFromWidth(ImGuiTable* table);
IMGUI_API void TableDrawBorders(ImGuiTable* table);
IMGUI_API void TableDrawContextMenu(ImGuiTable* table);
IMGUI_API bool TableBeginContextMenuPopup(ImGuiTable* table);
IMGUI_API void TableMergeDrawChannels(ImGuiTable* table);
inline ImGuiTableInstanceData* TableGetInstanceData(ImGuiTable* table, int instance_no) { if (instance_no == 0) return &table->InstanceDataFirst; return &table->InstanceDataExtra[instance_no - 1]; }
inline ImGuiID TableGetInstanceID(ImGuiTable* table, int instance_no) { return TableGetInstanceData(table, instance_no)->TableInstanceID; }
IMGUI_API void TableSortSpecsSanitize(ImGuiTable* table);
IMGUI_API void TableSortSpecsBuild(ImGuiTable* table);
IMGUI_API ImGuiSortDirection TableGetColumnNextSortDirection(ImGuiTableColumn* column);
IMGUI_API void TableFixColumnSortDirection(ImGuiTable* table, ImGuiTableColumn* column);
IMGUI_API float TableGetColumnWidthAuto(ImGuiTable* table, ImGuiTableColumn* column);
IMGUI_API void TableBeginRow(ImGuiTable* table);
IMGUI_API void TableEndRow(ImGuiTable* table);
IMGUI_API void TableBeginCell(ImGuiTable* table, int column_n);
IMGUI_API void TableEndCell(ImGuiTable* table);
IMGUI_API ImRect TableGetCellBgRect(const ImGuiTable* table, int column_n);
IMGUI_API const char* TableGetColumnName(const ImGuiTable* table, int column_n);
IMGUI_API ImGuiID TableGetColumnResizeID(ImGuiTable* table, int column_n, int instance_no = 0);
IMGUI_API float TableGetMaxColumnWidth(const ImGuiTable* table, int column_n);
IMGUI_API void TableSetColumnWidthAutoSingle(ImGuiTable* table, int column_n);
IMGUI_API void TableSetColumnWidthAutoAll(ImGuiTable* table);
IMGUI_API void TableRemove(ImGuiTable* table);
IMGUI_API void TableGcCompactTransientBuffers(ImGuiTable* table);
IMGUI_API void TableGcCompactTransientBuffers(ImGuiTableTempData* table);
IMGUI_API void TableGcCompactSettings();
// Tables: Settings
IMGUI_API void TableLoadSettings(ImGuiTable* table);
IMGUI_API void TableSaveSettings(ImGuiTable* table);
IMGUI_API void TableResetSettings(ImGuiTable* table);
IMGUI_API ImGuiTableSettings* TableGetBoundSettings(ImGuiTable* table);
IMGUI_API void TableSettingsAddSettingsHandler();
IMGUI_API ImGuiTableSettings* TableSettingsCreate(ImGuiID id, int columns_count);
IMGUI_API ImGuiTableSettings* TableSettingsFindByID(ImGuiID id);
// Tab Bars
inline ImGuiTabBar* GetCurrentTabBar() { ImGuiContext& g = *GImGui; return g.CurrentTabBar; }
IMGUI_API bool BeginTabBarEx(ImGuiTabBar* tab_bar, const ImRect& bb, ImGuiTabBarFlags flags, ImGuiDockNode* dock_node);
IMGUI_API ImGuiTabItem* TabBarFindTabByID(ImGuiTabBar* tab_bar, ImGuiID tab_id);
IMGUI_API ImGuiTabItem* TabBarFindTabByOrder(ImGuiTabBar* tab_bar, int order);
IMGUI_API ImGuiTabItem* TabBarFindMostRecentlySelectedTabForActiveWindow(ImGuiTabBar* tab_bar);
IMGUI_API ImGuiTabItem* TabBarGetCurrentTab(ImGuiTabBar* tab_bar);
inline int TabBarGetTabOrder(ImGuiTabBar* tab_bar, ImGuiTabItem* tab) { return tab_bar->Tabs.index_from_ptr(tab); }
IMGUI_API const char* TabBarGetTabName(ImGuiTabBar* tab_bar, ImGuiTabItem* tab);
IMGUI_API void TabBarAddTab(ImGuiTabBar* tab_bar, ImGuiTabItemFlags tab_flags, ImGuiWindow* window);
IMGUI_API void TabBarRemoveTab(ImGuiTabBar* tab_bar, ImGuiID tab_id);
IMGUI_API void TabBarCloseTab(ImGuiTabBar* tab_bar, ImGuiTabItem* tab);
IMGUI_API void TabBarQueueFocus(ImGuiTabBar* tab_bar, ImGuiTabItem* tab);
IMGUI_API void TabBarQueueReorder(ImGuiTabBar* tab_bar, ImGuiTabItem* tab, int offset);
IMGUI_API void TabBarQueueReorderFromMousePos(ImGuiTabBar* tab_bar, ImGuiTabItem* tab, ImVec2 mouse_pos);
IMGUI_API bool TabBarProcessReorder(ImGuiTabBar* tab_bar);
IMGUI_API bool TabItemEx(ImGuiTabBar* tab_bar, const char* label, bool* p_open, ImGuiTabItemFlags flags, ImGuiWindow* docked_window);
IMGUI_API ImVec2 TabItemCalcSize(const char* label, bool has_close_button_or_unsaved_marker);
IMGUI_API ImVec2 TabItemCalcSize(ImGuiWindow* window);
IMGUI_API void TabItemBackground(ImDrawList* draw_list, const ImRect& bb, ImGuiTabItemFlags flags, ImU32 col);
IMGUI_API void TabItemLabelAndCloseButton(ImDrawList* draw_list, const ImRect& bb, ImGuiTabItemFlags flags, ImVec2 frame_padding, const char* label, ImGuiID tab_id, ImGuiID close_button_id, bool is_contents_visible, bool* out_just_closed, bool* out_text_clipped);
// Render helpers
// AVOID USING OUTSIDE OF IMGUI.CPP! NOT FOR PUBLIC CONSUMPTION. THOSE FUNCTIONS ARE A MESS. THEIR SIGNATURE AND BEHAVIOR WILL CHANGE, THEY NEED TO BE REFACTORED INTO SOMETHING DECENT.
// NB: All position are in absolute pixels coordinates (we are never using window coordinates internally)
IMGUI_API void RenderText(ImVec2 pos, const char* text, const char* text_end = NULL, bool hide_text_after_hash = true);
IMGUI_API void RenderTextWrapped(ImVec2 pos, const char* text, const char* text_end, float wrap_width);
IMGUI_API void RenderTextClipped(const ImVec2& pos_min, const ImVec2& pos_max, const char* text, const char* text_end, const ImVec2* text_size_if_known, const ImVec2& align = ImVec2(0, 0), const ImRect* clip_rect = NULL);
IMGUI_API void RenderTextClippedEx(ImDrawList* draw_list, const ImVec2& pos_min, const ImVec2& pos_max, const char* text, const char* text_end, const ImVec2* text_size_if_known, const ImVec2& align = ImVec2(0, 0), const ImRect* clip_rect = NULL);
IMGUI_API void RenderTextEllipsis(ImDrawList* draw_list, const ImVec2& pos_min, const ImVec2& pos_max, float clip_max_x, float ellipsis_max_x, const char* text, const char* text_end, const ImVec2* text_size_if_known);
IMGUI_API void RenderFrame(ImVec2 p_min, ImVec2 p_max, ImU32 fill_col, bool border = true, float rounding = 0.0f);
IMGUI_API void RenderFrameBorder(ImVec2 p_min, ImVec2 p_max, float rounding = 0.0f);
IMGUI_API void RenderColorRectWithAlphaCheckerboard(ImDrawList* draw_list, ImVec2 p_min, ImVec2 p_max, ImU32 fill_col, float grid_step, ImVec2 grid_off, float rounding = 0.0f, ImDrawFlags flags = 0);
IMGUI_API void RenderNavHighlight(const ImRect& bb, ImGuiID id, ImGuiNavHighlightFlags flags = ImGuiNavHighlightFlags_TypeDefault); // Navigation highlight
IMGUI_API const char* FindRenderedTextEnd(const char* text, const char* text_end = NULL); // Find the optional ## from which we stop displaying text.
IMGUI_API void RenderMouseCursor(ImVec2 pos, float scale, ImGuiMouseCursor mouse_cursor, ImU32 col_fill, ImU32 col_border, ImU32 col_shadow);
// Render helpers (those functions don't access any ImGui state!)
IMGUI_API void RenderArrow(ImDrawList* draw_list, ImVec2 pos, ImU32 col, ImGuiDir dir, float scale = 1.0f);
IMGUI_API void RenderBullet(ImDrawList* draw_list, ImVec2 pos, ImU32 col);
IMGUI_API void RenderCheckMark(ImDrawList* draw_list, ImVec2 pos, ImU32 col, float sz);
IMGUI_API void RenderArrowPointingAt(ImDrawList* draw_list, ImVec2 pos, ImVec2 half_sz, ImGuiDir direction, ImU32 col);
IMGUI_API void RenderArrowDockMenu(ImDrawList* draw_list, ImVec2 p_min, float sz, ImU32 col);
IMGUI_API void RenderRectFilledRangeH(ImDrawList* draw_list, const ImRect& rect, ImU32 col, float x_start_norm, float x_end_norm, float rounding);
IMGUI_API void RenderRectFilledWithHole(ImDrawList* draw_list, const ImRect& outer, const ImRect& inner, ImU32 col, float rounding);
IMGUI_API ImDrawFlags CalcRoundingFlagsForRectInRect(const ImRect& r_in, const ImRect& r_outer, float threshold);
// Widgets
IMGUI_API void TextEx(const char* text, const char* text_end = NULL, ImGuiTextFlags flags = 0);
IMGUI_API bool ButtonEx(const char* label, const ImVec2& size_arg = ImVec2(0, 0), ImGuiButtonFlags flags = 0);
IMGUI_API bool ArrowButtonEx(const char* str_id, ImGuiDir dir, ImVec2 size_arg, ImGuiButtonFlags flags = 0);
IMGUI_API bool ImageButtonEx(ImGuiID id, ImTextureID texture_id, const ImVec2& size, const ImVec2& uv0, const ImVec2& uv1, const ImVec4& bg_col, const ImVec4& tint_col, ImGuiButtonFlags flags = 0);
IMGUI_API void SeparatorEx(ImGuiSeparatorFlags flags);
IMGUI_API void SeparatorTextEx(ImGuiID id, const char* label, const char* label_end, float extra_width);
IMGUI_API bool CheckboxFlags(const char* label, ImS64* flags, ImS64 flags_value);
IMGUI_API bool CheckboxFlags(const char* label, ImU64* flags, ImU64 flags_value);
// Widgets: Window Decorations
IMGUI_API bool CloseButton(ImGuiID id, const ImVec2& pos);
IMGUI_API bool CollapseButton(ImGuiID id, const ImVec2& pos, ImGuiDockNode* dock_node);
IMGUI_API void Scrollbar(ImGuiAxis axis);
IMGUI_API bool ScrollbarEx(const ImRect& bb, ImGuiID id, ImGuiAxis axis, ImS64* p_scroll_v, ImS64 avail_v, ImS64 contents_v, ImDrawFlags flags);
IMGUI_API ImRect GetWindowScrollbarRect(ImGuiWindow* window, ImGuiAxis axis);
IMGUI_API ImGuiID GetWindowScrollbarID(ImGuiWindow* window, ImGuiAxis axis);
IMGUI_API ImGuiID GetWindowResizeCornerID(ImGuiWindow* window, int n); // 0..3: corners
IMGUI_API ImGuiID GetWindowResizeBorderID(ImGuiWindow* window, ImGuiDir dir);
// Widgets low-level behaviors
IMGUI_API bool ButtonBehavior(const ImRect& bb, ImGuiID id, bool* out_hovered, bool* out_held, ImGuiButtonFlags flags = 0);
IMGUI_API bool DragBehavior(ImGuiID id, ImGuiDataType data_type, void* p_v, float v_speed, const void* p_min, const void* p_max, const char* format, ImGuiSliderFlags flags);
IMGUI_API bool SliderBehavior(const ImRect& bb, ImGuiID id, ImGuiDataType data_type, void* p_v, const void* p_min, const void* p_max, const char* format, ImGuiSliderFlags flags, ImRect* out_grab_bb);
IMGUI_API bool SplitterBehavior(const ImRect& bb, ImGuiID id, ImGuiAxis axis, float* size1, float* size2, float min_size1, float min_size2, float hover_extend = 0.0f, float hover_visibility_delay = 0.0f, ImU32 bg_col = 0);
IMGUI_API bool TreeNodeBehavior(ImGuiID id, ImGuiTreeNodeFlags flags, const char* label, const char* label_end = NULL);
IMGUI_API void TreePushOverrideID(ImGuiID id);
IMGUI_API void TreeNodeSetOpen(ImGuiID id, bool open);
IMGUI_API bool TreeNodeUpdateNextOpen(ImGuiID id, ImGuiTreeNodeFlags flags); // Return open state. Consume previous SetNextItemOpen() data, if any. May return true when logging.
// Template functions are instantiated in imgui_widgets.cpp for a finite number of types.
// To use them externally (for custom widget) you may need an "extern template" statement in your code in order to link to existing instances and silence Clang warnings (see #2036).
// e.g. " extern template IMGUI_API float RoundScalarWithFormatT<float, float>(const char* format, ImGuiDataType data_type, float v); "
template<typename T, typename SIGNED_T, typename FLOAT_T> IMGUI_API float ScaleRatioFromValueT(ImGuiDataType data_type, T v, T v_min, T v_max, bool is_logarithmic, float logarithmic_zero_epsilon, float zero_deadzone_size);
template<typename T, typename SIGNED_T, typename FLOAT_T> IMGUI_API T ScaleValueFromRatioT(ImGuiDataType data_type, float t, T v_min, T v_max, bool is_logarithmic, float logarithmic_zero_epsilon, float zero_deadzone_size);
template<typename T, typename SIGNED_T, typename FLOAT_T> IMGUI_API bool DragBehaviorT(ImGuiDataType data_type, T* v, float v_speed, T v_min, T v_max, const char* format, ImGuiSliderFlags flags);
template<typename T, typename SIGNED_T, typename FLOAT_T> IMGUI_API bool SliderBehaviorT(const ImRect& bb, ImGuiID id, ImGuiDataType data_type, T* v, T v_min, T v_max, const char* format, ImGuiSliderFlags flags, ImRect* out_grab_bb);
template<typename T> IMGUI_API T RoundScalarWithFormatT(const char* format, ImGuiDataType data_type, T v);
template<typename T> IMGUI_API bool CheckboxFlagsT(const char* label, T* flags, T flags_value);
// Data type helpers
IMGUI_API const ImGuiDataTypeInfo* DataTypeGetInfo(ImGuiDataType data_type);
IMGUI_API int DataTypeFormatString(char* buf, int buf_size, ImGuiDataType data_type, const void* p_data, const char* format);
IMGUI_API void DataTypeApplyOp(ImGuiDataType data_type, int op, void* output, const void* arg_1, const void* arg_2);
IMGUI_API bool DataTypeApplyFromText(const char* buf, ImGuiDataType data_type, void* p_data, const char* format);
IMGUI_API int DataTypeCompare(ImGuiDataType data_type, const void* arg_1, const void* arg_2);
IMGUI_API bool DataTypeClamp(ImGuiDataType data_type, void* p_data, const void* p_min, const void* p_max);
// InputText
IMGUI_API bool InputTextEx(const char* label, const char* hint, char* buf, int buf_size, const ImVec2& size_arg, ImGuiInputTextFlags flags, ImGuiInputTextCallback callback = NULL, void* user_data = NULL);
IMGUI_API void InputTextDeactivateHook(ImGuiID id);
IMGUI_API bool TempInputText(const ImRect& bb, ImGuiID id, const char* label, char* buf, int buf_size, ImGuiInputTextFlags flags);
IMGUI_API bool TempInputScalar(const ImRect& bb, ImGuiID id, const char* label, ImGuiDataType data_type, void* p_data, const char* format, const void* p_clamp_min = NULL, const void* p_clamp_max = NULL);
inline bool TempInputIsActive(ImGuiID id) { ImGuiContext& g = *GImGui; return (g.ActiveId == id && g.TempInputId == id); }
inline ImGuiInputTextState* GetInputTextState(ImGuiID id) { ImGuiContext& g = *GImGui; return (id != 0 && g.InputTextState.ID == id) ? &g.InputTextState : NULL; } // Get input text state if active
// Color
IMGUI_API void ColorTooltip(const char* text, const float* col, ImGuiColorEditFlags flags);
IMGUI_API void ColorEditOptionsPopup(const float* col, ImGuiColorEditFlags flags);
IMGUI_API void ColorPickerOptionsPopup(const float* ref_col, ImGuiColorEditFlags flags);
// Plot
IMGUI_API int PlotEx(ImGuiPlotType plot_type, const char* label, float (*values_getter)(void* data, int idx), void* data, int values_count, int values_offset, const char* overlay_text, float scale_min, float scale_max, const ImVec2& size_arg);
// Shade functions (write over already created vertices)
IMGUI_API void ShadeVertsLinearColorGradientKeepAlpha(ImDrawList* draw_list, int vert_start_idx, int vert_end_idx, ImVec2 gradient_p0, ImVec2 gradient_p1, ImU32 col0, ImU32 col1);
IMGUI_API void ShadeVertsLinearUV(ImDrawList* draw_list, int vert_start_idx, int vert_end_idx, const ImVec2& a, const ImVec2& b, const ImVec2& uv_a, const ImVec2& uv_b, bool clamp);
// Garbage collection
IMGUI_API void GcCompactTransientMiscBuffers();
IMGUI_API void GcCompactTransientWindowBuffers(ImGuiWindow* window);
IMGUI_API void GcAwakeTransientWindowBuffers(ImGuiWindow* window);
// Debug Log
IMGUI_API void DebugLog(const char* fmt, ...) IM_FMTARGS(1);
IMGUI_API void DebugLogV(const char* fmt, va_list args) IM_FMTLIST(1);
// Debug Tools
IMGUI_API void ErrorCheckEndFrameRecover(ImGuiErrorLogCallback log_callback, void* user_data = NULL);
IMGUI_API void ErrorCheckEndWindowRecover(ImGuiErrorLogCallback log_callback, void* user_data = NULL);
IMGUI_API void ErrorCheckUsingSetCursorPosToExtendParentBoundaries();
IMGUI_API void DebugLocateItem(ImGuiID target_id); // Call sparingly: only 1 at the same time!
IMGUI_API void DebugLocateItemOnHover(ImGuiID target_id); // Only call on reaction to a mouse Hover: because only 1 at the same time!
IMGUI_API void DebugLocateItemResolveWithLastItem();
inline void DebugDrawItemRect(ImU32 col = IM_COL32(255,0,0,255)) { ImGuiContext& g = *GImGui; ImGuiWindow* window = g.CurrentWindow; GetForegroundDrawList(window)->AddRect(g.LastItemData.Rect.Min, g.LastItemData.Rect.Max, col); }
inline void DebugStartItemPicker() { ImGuiContext& g = *GImGui; g.DebugItemPickerActive = true; }
IMGUI_API void ShowFontAtlas(ImFontAtlas* atlas);
IMGUI_API void DebugHookIdInfo(ImGuiID id, ImGuiDataType data_type, const void* data_id, const void* data_id_end);
IMGUI_API void DebugNodeColumns(ImGuiOldColumns* columns);
IMGUI_API void DebugNodeDockNode(ImGuiDockNode* node, const char* label);
IMGUI_API void DebugNodeDrawList(ImGuiWindow* window, ImGuiViewportP* viewport, const ImDrawList* draw_list, const char* label);
IMGUI_API void DebugNodeDrawCmdShowMeshAndBoundingBox(ImDrawList* out_draw_list, const ImDrawList* draw_list, const ImDrawCmd* draw_cmd, bool show_mesh, bool show_aabb);
IMGUI_API void DebugNodeFont(ImFont* font);
IMGUI_API void DebugNodeFontGlyph(ImFont* font, const ImFontGlyph* glyph);
IMGUI_API void DebugNodeStorage(ImGuiStorage* storage, const char* label);
IMGUI_API void DebugNodeTabBar(ImGuiTabBar* tab_bar, const char* label);
IMGUI_API void DebugNodeTable(ImGuiTable* table);
IMGUI_API void DebugNodeTableSettings(ImGuiTableSettings* settings);
IMGUI_API void DebugNodeInputTextState(ImGuiInputTextState* state);
IMGUI_API void DebugNodeWindow(ImGuiWindow* window, const char* label);
IMGUI_API void DebugNodeWindowSettings(ImGuiWindowSettings* settings);
IMGUI_API void DebugNodeWindowsList(ImVector<ImGuiWindow*>* windows, const char* label);
IMGUI_API void DebugNodeWindowsListByBeginStackParent(ImGuiWindow** windows, int windows_size, ImGuiWindow* parent_in_begin_stack);
IMGUI_API void DebugNodeViewport(ImGuiViewportP* viewport);
IMGUI_API void DebugRenderKeyboardPreview(ImDrawList* draw_list);
IMGUI_API void DebugRenderViewportThumbnail(ImDrawList* draw_list, ImGuiViewportP* viewport, const ImRect& bb);
// Obsolete functions
#ifndef IMGUI_DISABLE_OBSOLETE_FUNCTIONS
inline void SetItemUsingMouseWheel() { SetItemKeyOwner(ImGuiKey_MouseWheelY); } // Changed in 1.89
inline bool TreeNodeBehaviorIsOpen(ImGuiID id, ImGuiTreeNodeFlags flags = 0) { return TreeNodeUpdateNextOpen(id, flags); } // Renamed in 1.89
// Refactored focus/nav/tabbing system in 1.82 and 1.84. If you have old/custom copy-and-pasted widgets that used FocusableItemRegister():
// (Old) IMGUI_VERSION_NUM < 18209: using 'ItemAdd(....)' and 'bool tab_focused = FocusableItemRegister(...)'
// (Old) IMGUI_VERSION_NUM >= 18209: using 'ItemAdd(..., ImGuiItemAddFlags_Focusable)' and 'bool tab_focused = (GetItemStatusFlags() & ImGuiItemStatusFlags_Focused) != 0'
// (New) IMGUI_VERSION_NUM >= 18413: using 'ItemAdd(..., ImGuiItemFlags_Inputable)' and 'bool tab_focused = (GetItemStatusFlags() & ImGuiItemStatusFlags_FocusedTabbing) != 0 || (g.NavActivateId == id && (g.NavActivateFlags & ImGuiActivateFlags_PreferInput))' (WIP)
// Widget code are simplified as there's no need to call FocusableItemUnregister() while managing the transition from regular widget to TempInputText()
inline bool FocusableItemRegister(ImGuiWindow* window, ImGuiID id) { IM_ASSERT(0); IM_UNUSED(window); IM_UNUSED(id); return false; } // -> pass ImGuiItemAddFlags_Inputable flag to ItemAdd()
inline void FocusableItemUnregister(ImGuiWindow* window) { IM_ASSERT(0); IM_UNUSED(window); } // -> unnecessary: TempInputText() uses ImGuiInputTextFlags_MergedItem
#endif
#ifndef IMGUI_DISABLE_OBSOLETE_KEYIO
inline bool IsKeyPressedMap(ImGuiKey key, bool repeat = true) { IM_ASSERT(IsNamedKey(key)); return IsKeyPressed(key, repeat); } // Removed in 1.87: Mapping from named key is always identity!
#endif
} // namespace ImGui
//-----------------------------------------------------------------------------
// [SECTION] ImFontAtlas internal API
//-----------------------------------------------------------------------------
// This structure is likely to evolve as we add support for incremental atlas updates
struct ImFontBuilderIO
{
bool (*FontBuilder_Build)(ImFontAtlas* atlas);
};
// Helper for font builder
#ifdef IMGUI_ENABLE_STB_TRUETYPE
IMGUI_API const ImFontBuilderIO* ImFontAtlasGetBuilderForStbTruetype();
#endif
IMGUI_API void ImFontAtlasBuildInit(ImFontAtlas* atlas);
IMGUI_API void ImFontAtlasBuildSetupFont(ImFontAtlas* atlas, ImFont* font, ImFontConfig* font_config, float ascent, float descent);
IMGUI_API void ImFontAtlasBuildPackCustomRects(ImFontAtlas* atlas, void* stbrp_context_opaque);
IMGUI_API void ImFontAtlasBuildFinish(ImFontAtlas* atlas);
IMGUI_API void ImFontAtlasBuildRender8bppRectFromString(ImFontAtlas* atlas, int x, int y, int w, int h, const char* in_str, char in_marker_char, unsigned char in_marker_pixel_value);
IMGUI_API void ImFontAtlasBuildRender32bppRectFromString(ImFontAtlas* atlas, int x, int y, int w, int h, const char* in_str, char in_marker_char, unsigned int in_marker_pixel_value);
IMGUI_API void ImFontAtlasBuildMultiplyCalcLookupTable(unsigned char out_table[256], float in_multiply_factor);
IMGUI_API void ImFontAtlasBuildMultiplyRectAlpha8(const unsigned char table[256], unsigned char* pixels, int x, int y, int w, int h, int stride);
//-----------------------------------------------------------------------------
// [SECTION] Test Engine specific hooks (imgui_test_engine)
//-----------------------------------------------------------------------------
#ifdef IMGUI_ENABLE_TEST_ENGINE
extern void ImGuiTestEngineHook_ItemAdd(ImGuiContext* ctx, ImGuiID id, const ImRect& bb, const ImGuiLastItemData* item_data); // item_data may be NULL
extern void ImGuiTestEngineHook_ItemInfo(ImGuiContext* ctx, ImGuiID id, const char* label, ImGuiItemStatusFlags flags);
extern void ImGuiTestEngineHook_Log(ImGuiContext* ctx, const char* fmt, ...);
extern const char* ImGuiTestEngine_FindItemDebugLabel(ImGuiContext* ctx, ImGuiID id);
// In IMGUI_VERSION_NUM >= 18934: changed IMGUI_TEST_ENGINE_ITEM_ADD(bb,id) to IMGUI_TEST_ENGINE_ITEM_ADD(id,bb,item_data);
#define IMGUI_TEST_ENGINE_ITEM_ADD(_ID,_BB,_ITEM_DATA) if (g.TestEngineHookItems) ImGuiTestEngineHook_ItemAdd(&g, _ID, _BB, _ITEM_DATA) // Register item bounding box
#define IMGUI_TEST_ENGINE_ITEM_INFO(_ID,_LABEL,_FLAGS) if (g.TestEngineHookItems) ImGuiTestEngineHook_ItemInfo(&g, _ID, _LABEL, _FLAGS) // Register item label and status flags (optional)
#define IMGUI_TEST_ENGINE_LOG(_FMT,...) if (g.TestEngineHookItems) ImGuiTestEngineHook_Log(&g, _FMT, __VA_ARGS__) // Custom log entry from user land into test log
#else
#define IMGUI_TEST_ENGINE_ITEM_ADD(_BB,_ID) ((void)0)
#define IMGUI_TEST_ENGINE_ITEM_INFO(_ID,_LABEL,_FLAGS) ((void)g)
#endif
//-----------------------------------------------------------------------------
#if defined(__clang__)
#pragma clang diagnostic pop
#elif defined(__GNUC__)
#pragma GCC diagnostic pop
#endif
#ifdef _MSC_VER
#pragma warning (pop)
#endif
#endif // #ifndef IMGUI_DISABLE
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_dx12.h | // dear imgui: Renderer Backend for DirectX12
// This needs to be used along with a Platform Backend (e.g. Win32)
// Implemented features:
// [X] Renderer: User texture binding. Use 'D3D12_GPU_DESCRIPTOR_HANDLE' as ImTextureID. Read the FAQ about ImTextureID!
// [X] Renderer: Large meshes support (64k+ vertices) with 16-bit indices.
// [X] Renderer: Multi-viewport support (multiple windows). Enable with 'io.ConfigFlags |= ImGuiConfigFlags_ViewportsEnable'.
// Important: to compile on 32-bit systems, this backend requires code to be compiled with '#define ImTextureID ImU64'.
// See imgui_impl_dx12.cpp file for details.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
#include <dxgiformat.h> // DXGI_FORMAT
struct ID3D12Device;
struct ID3D12DescriptorHeap;
struct ID3D12GraphicsCommandList;
struct D3D12_CPU_DESCRIPTOR_HANDLE;
struct D3D12_GPU_DESCRIPTOR_HANDLE;
// cmd_list is the command list that the implementation will use to render imgui draw lists.
// Before calling the render function, caller must prepare cmd_list by resetting it and setting the appropriate
// render target and descriptor heap that contains font_srv_cpu_desc_handle/font_srv_gpu_desc_handle.
// font_srv_cpu_desc_handle and font_srv_gpu_desc_handle are handles to a single SRV descriptor to use for the internal font texture.
IMGUI_IMPL_API bool ImGui_ImplDX12_Init(ID3D12Device* device, int num_frames_in_flight, DXGI_FORMAT rtv_format, ID3D12DescriptorHeap* cbv_srv_heap,
D3D12_CPU_DESCRIPTOR_HANDLE font_srv_cpu_desc_handle, D3D12_GPU_DESCRIPTOR_HANDLE font_srv_gpu_desc_handle);
IMGUI_IMPL_API void ImGui_ImplDX12_Shutdown();
IMGUI_IMPL_API void ImGui_ImplDX12_NewFrame();
IMGUI_IMPL_API void ImGui_ImplDX12_RenderDrawData(ImDrawData* draw_data, ID3D12GraphicsCommandList* graphics_command_list);
// Use if you want to reset your rendering device without losing Dear ImGui state.
IMGUI_IMPL_API void ImGui_ImplDX12_InvalidateDeviceObjects();
IMGUI_IMPL_API bool ImGui_ImplDX12_CreateDeviceObjects();
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_dx10.h | // dear imgui: Renderer Backend for DirectX10
// This needs to be used along with a Platform Backend (e.g. Win32)
// Implemented features:
// [X] Renderer: User texture binding. Use 'ID3D10ShaderResourceView*' as ImTextureID. Read the FAQ about ImTextureID!
// [X] Renderer: Large meshes support (64k+ vertices) with 16-bit indices.
// [X] Renderer: Multi-viewport support (multiple windows). Enable with 'io.ConfigFlags |= ImGuiConfigFlags_ViewportsEnable'.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
struct ID3D10Device;
IMGUI_IMPL_API bool ImGui_ImplDX10_Init(ID3D10Device* device);
IMGUI_IMPL_API void ImGui_ImplDX10_Shutdown();
IMGUI_IMPL_API void ImGui_ImplDX10_NewFrame();
IMGUI_IMPL_API void ImGui_ImplDX10_RenderDrawData(ImDrawData* draw_data);
// Use if you want to reset your rendering device without losing Dear ImGui state.
IMGUI_IMPL_API void ImGui_ImplDX10_InvalidateDeviceObjects();
IMGUI_IMPL_API bool ImGui_ImplDX10_CreateDeviceObjects();
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_allegro5.h | // dear imgui: Renderer + Platform Backend for Allegro 5
// (Info: Allegro 5 is a cross-platform general purpose library for handling windows, inputs, graphics, etc.)
// Implemented features:
// [X] Renderer: User texture binding. Use 'ALLEGRO_BITMAP*' as ImTextureID. Read the FAQ about ImTextureID!
// [X] Platform: Keyboard support. Since 1.87 we are using the io.AddKeyEvent() function. Pass ImGuiKey values to all key functions e.g. ImGui::IsKeyPressed(ImGuiKey_Space). [Legacy ALLEGRO_KEY_* values will also be supported unless IMGUI_DISABLE_OBSOLETE_KEYIO is set]
// [X] Platform: Clipboard support (from Allegro 5.1.12)
// [X] Platform: Mouse cursor shape and visibility. Disable with 'io.ConfigFlags |= ImGuiConfigFlags_NoMouseCursorChange'.
// Issues:
// [ ] Renderer: The renderer is suboptimal as we need to unindex our buffers and convert vertices manually.
// [ ] Platform: Missing gamepad support.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
struct ALLEGRO_DISPLAY;
union ALLEGRO_EVENT;
IMGUI_IMPL_API bool ImGui_ImplAllegro5_Init(ALLEGRO_DISPLAY* display);
IMGUI_IMPL_API void ImGui_ImplAllegro5_Shutdown();
IMGUI_IMPL_API void ImGui_ImplAllegro5_NewFrame();
IMGUI_IMPL_API void ImGui_ImplAllegro5_RenderDrawData(ImDrawData* draw_data);
IMGUI_IMPL_API bool ImGui_ImplAllegro5_ProcessEvent(ALLEGRO_EVENT* event);
// Use if you want to reset your rendering device without losing Dear ImGui state.
IMGUI_IMPL_API bool ImGui_ImplAllegro5_CreateDeviceObjects();
IMGUI_IMPL_API void ImGui_ImplAllegro5_InvalidateDeviceObjects();
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_win32.h | // dear imgui: Platform Backend for Windows (standard windows API for 32-bits AND 64-bits applications)
// This needs to be used along with a Renderer (e.g. DirectX11, OpenGL3, Vulkan..)
// Implemented features:
// [X] Platform: Clipboard support (for Win32 this is actually part of core dear imgui)
// [X] Platform: Mouse support. Can discriminate Mouse/TouchScreen/Pen.
// [X] Platform: Keyboard support. Since 1.87 we are using the io.AddKeyEvent() function. Pass ImGuiKey values to all key functions e.g. ImGui::IsKeyPressed(ImGuiKey_Space). [Legacy VK_* values will also be supported unless IMGUI_DISABLE_OBSOLETE_KEYIO is set]
// [X] Platform: Gamepad support. Enabled with 'io.ConfigFlags |= ImGuiConfigFlags_NavEnableGamepad'.
// [X] Platform: Mouse cursor shape and visibility. Disable with 'io.ConfigFlags |= ImGuiConfigFlags_NoMouseCursorChange'.
// [X] Platform: Multi-viewport support (multiple windows). Enable with 'io.ConfigFlags |= ImGuiConfigFlags_ViewportsEnable'.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
IMGUI_IMPL_API bool ImGui_ImplWin32_Init(void* hwnd);
IMGUI_IMPL_API void ImGui_ImplWin32_Shutdown();
IMGUI_IMPL_API void ImGui_ImplWin32_NewFrame();
// Win32 message handler your application need to call.
// - Intentionally commented out in a '#if 0' block to avoid dragging dependencies on <windows.h> from this helper.
// - You should COPY the line below into your .cpp code to forward declare the function and then you can call it.
// - Call from your application's message handler. Keep calling your message handler unless this function returns TRUE.
#if 0
extern IMGUI_IMPL_API LRESULT ImGui_ImplWin32_WndProcHandler(HWND hWnd, UINT msg, WPARAM wParam, LPARAM lParam);
#endif
// DPI-related helpers (optional)
// - Use to enable DPI awareness without having to create an application manifest.
// - Your own app may already do this via a manifest or explicit calls. This is mostly useful for our examples/ apps.
// - In theory we could call simple functions from Windows SDK such as SetProcessDPIAware(), SetProcessDpiAwareness(), etc.
// but most of the functions provided by Microsoft require Windows 8.1/10+ SDK at compile time and Windows 8/10+ at runtime,
// neither we want to require the user to have. So we dynamically select and load those functions to avoid dependencies.
IMGUI_IMPL_API void ImGui_ImplWin32_EnableDpiAwareness();
IMGUI_IMPL_API float ImGui_ImplWin32_GetDpiScaleForHwnd(void* hwnd); // HWND hwnd
IMGUI_IMPL_API float ImGui_ImplWin32_GetDpiScaleForMonitor(void* monitor); // HMONITOR monitor
// Transparency related helpers (optional) [experimental]
// - Use to enable alpha compositing transparency with the desktop.
// - Use together with e.g. clearing your framebuffer with zero-alpha.
IMGUI_IMPL_API void ImGui_ImplWin32_EnableAlphaCompositing(void* hwnd); // HWND hwnd
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_opengl3_loader.h | //-----------------------------------------------------------------------------
// About imgui_impl_opengl3_loader.h:
//
// We embed our own OpenGL loader to not require user to provide their own or to have to use ours,
// which proved to be endless problems for users.
// Our loader is custom-generated, based on gl3w but automatically filtered to only include
// enums/functions that we use in our imgui_impl_opengl3.cpp source file in order to be small.
//
// YOU SHOULD NOT NEED TO INCLUDE/USE THIS DIRECTLY. THIS IS USED BY imgui_impl_opengl3.cpp ONLY.
// THE REST OF YOUR APP SHOULD USE A DIFFERENT GL LOADER: ANY GL LOADER OF YOUR CHOICE.
//
// IF YOU GET BUILD ERRORS IN THIS FILE (commonly macro redefinitions or function redefinitions):
// IT LIKELY MEANS THAT YOU ARE BUILDING 'imgui_impl_opengl3.cpp' OR INCUDING 'imgui_impl_opengl3_loader.h'
// IN THE SAME COMPILATION UNIT AS ONE OF YOUR FILE WHICH IS USING A THIRD-PARTY OPENGL LOADER.
// (e.g. COULD HAPPEN IF YOU ARE DOING A UNITY/JUMBO BUILD, OR INCLUDING .CPP FILES FROM OTHERS)
// YOU SHOULD NOT BUILD BOTH IN THE SAME COMPILATION UNIT.
// BUT IF YOU REALLY WANT TO, you can '#define IMGUI_IMPL_OPENGL_LOADER_CUSTOM' and imgui_impl_opengl3.cpp
// WILL NOT BE USING OUR LOADER, AND INSTEAD EXPECT ANOTHER/YOUR LOADER TO BE AVAILABLE IN THE COMPILATION UNIT.
//
// Regenerate with:
// python gl3w_gen.py --output ../imgui/backends/imgui_impl_opengl3_loader.h --ref ../imgui/backends/imgui_impl_opengl3.cpp ./extra_symbols.txt
//
// More info:
// https://github.com/dearimgui/gl3w_stripped
// https://github.com/ocornut/imgui/issues/4445
//-----------------------------------------------------------------------------
/*
* This file was generated with gl3w_gen.py, part of imgl3w
* (hosted at https://github.com/dearimgui/gl3w_stripped)
*
* This is free and unencumbered software released into the public domain.
*
* Anyone is free to copy, modify, publish, use, compile, sell, or
* distribute this software, either in source code form or as a compiled
* binary, for any purpose, commercial or non-commercial, and by any
* means.
*
* In jurisdictions that recognize copyright laws, the author or authors
* of this software dedicate any and all copyright interest in the
* software to the public domain. We make this dedication for the benefit
* of the public at large and to the detriment of our heirs and
* successors. We intend this dedication to be an overt act of
* relinquishment in perpetuity of all present and future rights to this
* software under copyright law.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
* IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR
* OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
* ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
* OTHER DEALINGS IN THE SOFTWARE.
*/
#ifndef __gl3w_h_
#define __gl3w_h_
// Adapted from KHR/khrplatform.h to avoid including entire file.
#ifndef __khrplatform_h_
typedef float khronos_float_t;
typedef signed char khronos_int8_t;
typedef unsigned char khronos_uint8_t;
typedef signed short int khronos_int16_t;
typedef unsigned short int khronos_uint16_t;
#ifdef _WIN64
typedef signed long long int khronos_intptr_t;
typedef signed long long int khronos_ssize_t;
#else
typedef signed long int khronos_intptr_t;
typedef signed long int khronos_ssize_t;
#endif
#if defined(_MSC_VER) && !defined(__clang__)
typedef signed __int64 khronos_int64_t;
typedef unsigned __int64 khronos_uint64_t;
#elif (defined(__clang__) || defined(__GNUC__)) && (__cplusplus < 201100)
#include <stdint.h>
typedef int64_t khronos_int64_t;
typedef uint64_t khronos_uint64_t;
#else
typedef signed long long khronos_int64_t;
typedef unsigned long long khronos_uint64_t;
#endif
#endif // __khrplatform_h_
#ifndef __gl_glcorearb_h_
#define __gl_glcorearb_h_ 1
#ifdef __cplusplus
extern "C" {
#endif
/*
** Copyright 2013-2020 The Khronos Group Inc.
** SPDX-License-Identifier: MIT
**
** This header is generated from the Khronos OpenGL / OpenGL ES XML
** API Registry. The current version of the Registry, generator scripts
** used to make the header, and the header can be found at
** https://github.com/KhronosGroup/OpenGL-Registry
*/
#if defined(_WIN32) && !defined(APIENTRY) && !defined(__CYGWIN__) && !defined(__SCITECH_SNAP__)
#ifndef WIN32_LEAN_AND_MEAN
#define WIN32_LEAN_AND_MEAN 1
#endif
#include <windows.h>
#endif
#ifndef APIENTRY
#define APIENTRY
#endif
#ifndef APIENTRYP
#define APIENTRYP APIENTRY *
#endif
#ifndef GLAPI
#define GLAPI extern
#endif
/* glcorearb.h is for use with OpenGL core profile implementations.
** It should should be placed in the same directory as gl.h and
** included as <GL/glcorearb.h>.
**
** glcorearb.h includes only APIs in the latest OpenGL core profile
** implementation together with APIs in newer ARB extensions which
** can be supported by the core profile. It does not, and never will
** include functionality removed from the core profile, such as
** fixed-function vertex and fragment processing.
**
** Do not #include both <GL/glcorearb.h> and either of <GL/gl.h> or
** <GL/glext.h> in the same source file.
*/
/* Generated C header for:
* API: gl
* Profile: core
* Versions considered: .*
* Versions emitted: .*
* Default extensions included: glcore
* Additional extensions included: _nomatch_^
* Extensions removed: _nomatch_^
*/
#ifndef GL_VERSION_1_0
typedef void GLvoid;
typedef unsigned int GLenum;
typedef khronos_float_t GLfloat;
typedef int GLint;
typedef int GLsizei;
typedef unsigned int GLbitfield;
typedef double GLdouble;
typedef unsigned int GLuint;
typedef unsigned char GLboolean;
typedef khronos_uint8_t GLubyte;
#define GL_COLOR_BUFFER_BIT 0x00004000
#define GL_FALSE 0
#define GL_TRUE 1
#define GL_TRIANGLES 0x0004
#define GL_ONE 1
#define GL_SRC_ALPHA 0x0302
#define GL_ONE_MINUS_SRC_ALPHA 0x0303
#define GL_FRONT_AND_BACK 0x0408
#define GL_POLYGON_MODE 0x0B40
#define GL_CULL_FACE 0x0B44
#define GL_DEPTH_TEST 0x0B71
#define GL_STENCIL_TEST 0x0B90
#define GL_VIEWPORT 0x0BA2
#define GL_BLEND 0x0BE2
#define GL_SCISSOR_BOX 0x0C10
#define GL_SCISSOR_TEST 0x0C11
#define GL_UNPACK_ROW_LENGTH 0x0CF2
#define GL_PACK_ALIGNMENT 0x0D05
#define GL_TEXTURE_2D 0x0DE1
#define GL_UNSIGNED_BYTE 0x1401
#define GL_UNSIGNED_SHORT 0x1403
#define GL_UNSIGNED_INT 0x1405
#define GL_FLOAT 0x1406
#define GL_RGBA 0x1908
#define GL_FILL 0x1B02
#define GL_VENDOR 0x1F00
#define GL_RENDERER 0x1F01
#define GL_VERSION 0x1F02
#define GL_EXTENSIONS 0x1F03
#define GL_LINEAR 0x2601
#define GL_TEXTURE_MAG_FILTER 0x2800
#define GL_TEXTURE_MIN_FILTER 0x2801
typedef void (APIENTRYP PFNGLPOLYGONMODEPROC) (GLenum face, GLenum mode);
typedef void (APIENTRYP PFNGLSCISSORPROC) (GLint x, GLint y, GLsizei width, GLsizei height);
typedef void (APIENTRYP PFNGLTEXPARAMETERIPROC) (GLenum target, GLenum pname, GLint param);
typedef void (APIENTRYP PFNGLTEXIMAGE2DPROC) (GLenum target, GLint level, GLint internalformat, GLsizei width, GLsizei height, GLint border, GLenum format, GLenum type, const void *pixels);
typedef void (APIENTRYP PFNGLCLEARPROC) (GLbitfield mask);
typedef void (APIENTRYP PFNGLCLEARCOLORPROC) (GLfloat red, GLfloat green, GLfloat blue, GLfloat alpha);
typedef void (APIENTRYP PFNGLDISABLEPROC) (GLenum cap);
typedef void (APIENTRYP PFNGLENABLEPROC) (GLenum cap);
typedef void (APIENTRYP PFNGLFLUSHPROC) (void);
typedef void (APIENTRYP PFNGLPIXELSTOREIPROC) (GLenum pname, GLint param);
typedef void (APIENTRYP PFNGLREADPIXELSPROC) (GLint x, GLint y, GLsizei width, GLsizei height, GLenum format, GLenum type, void *pixels);
typedef GLenum (APIENTRYP PFNGLGETERRORPROC) (void);
typedef void (APIENTRYP PFNGLGETINTEGERVPROC) (GLenum pname, GLint *data);
typedef const GLubyte *(APIENTRYP PFNGLGETSTRINGPROC) (GLenum name);
typedef GLboolean (APIENTRYP PFNGLISENABLEDPROC) (GLenum cap);
typedef void (APIENTRYP PFNGLVIEWPORTPROC) (GLint x, GLint y, GLsizei width, GLsizei height);
#ifdef GL_GLEXT_PROTOTYPES
GLAPI void APIENTRY glPolygonMode (GLenum face, GLenum mode);
GLAPI void APIENTRY glScissor (GLint x, GLint y, GLsizei width, GLsizei height);
GLAPI void APIENTRY glTexParameteri (GLenum target, GLenum pname, GLint param);
GLAPI void APIENTRY glTexImage2D (GLenum target, GLint level, GLint internalformat, GLsizei width, GLsizei height, GLint border, GLenum format, GLenum type, const void *pixels);
GLAPI void APIENTRY glClear (GLbitfield mask);
GLAPI void APIENTRY glClearColor (GLfloat red, GLfloat green, GLfloat blue, GLfloat alpha);
GLAPI void APIENTRY glDisable (GLenum cap);
GLAPI void APIENTRY glEnable (GLenum cap);
GLAPI void APIENTRY glFlush (void);
GLAPI void APIENTRY glPixelStorei (GLenum pname, GLint param);
GLAPI void APIENTRY glReadPixels (GLint x, GLint y, GLsizei width, GLsizei height, GLenum format, GLenum type, void *pixels);
GLAPI GLenum APIENTRY glGetError (void);
GLAPI void APIENTRY glGetIntegerv (GLenum pname, GLint *data);
GLAPI const GLubyte *APIENTRY glGetString (GLenum name);
GLAPI GLboolean APIENTRY glIsEnabled (GLenum cap);
GLAPI void APIENTRY glViewport (GLint x, GLint y, GLsizei width, GLsizei height);
#endif
#endif /* GL_VERSION_1_0 */
#ifndef GL_VERSION_1_1
typedef khronos_float_t GLclampf;
typedef double GLclampd;
#define GL_TEXTURE_BINDING_2D 0x8069
typedef void (APIENTRYP PFNGLDRAWELEMENTSPROC) (GLenum mode, GLsizei count, GLenum type, const void *indices);
typedef void (APIENTRYP PFNGLBINDTEXTUREPROC) (GLenum target, GLuint texture);
typedef void (APIENTRYP PFNGLDELETETEXTURESPROC) (GLsizei n, const GLuint *textures);
typedef void (APIENTRYP PFNGLGENTEXTURESPROC) (GLsizei n, GLuint *textures);
#ifdef GL_GLEXT_PROTOTYPES
GLAPI void APIENTRY glDrawElements (GLenum mode, GLsizei count, GLenum type, const void *indices);
GLAPI void APIENTRY glBindTexture (GLenum target, GLuint texture);
GLAPI void APIENTRY glDeleteTextures (GLsizei n, const GLuint *textures);
GLAPI void APIENTRY glGenTextures (GLsizei n, GLuint *textures);
#endif
#endif /* GL_VERSION_1_1 */
#ifndef GL_VERSION_1_3
#define GL_TEXTURE0 0x84C0
#define GL_ACTIVE_TEXTURE 0x84E0
typedef void (APIENTRYP PFNGLACTIVETEXTUREPROC) (GLenum texture);
#ifdef GL_GLEXT_PROTOTYPES
GLAPI void APIENTRY glActiveTexture (GLenum texture);
#endif
#endif /* GL_VERSION_1_3 */
#ifndef GL_VERSION_1_4
#define GL_BLEND_DST_RGB 0x80C8
#define GL_BLEND_SRC_RGB 0x80C9
#define GL_BLEND_DST_ALPHA 0x80CA
#define GL_BLEND_SRC_ALPHA 0x80CB
#define GL_FUNC_ADD 0x8006
typedef void (APIENTRYP PFNGLBLENDFUNCSEPARATEPROC) (GLenum sfactorRGB, GLenum dfactorRGB, GLenum sfactorAlpha, GLenum dfactorAlpha);
typedef void (APIENTRYP PFNGLBLENDEQUATIONPROC) (GLenum mode);
#ifdef GL_GLEXT_PROTOTYPES
GLAPI void APIENTRY glBlendFuncSeparate (GLenum sfactorRGB, GLenum dfactorRGB, GLenum sfactorAlpha, GLenum dfactorAlpha);
GLAPI void APIENTRY glBlendEquation (GLenum mode);
#endif
#endif /* GL_VERSION_1_4 */
#ifndef GL_VERSION_1_5
typedef khronos_ssize_t GLsizeiptr;
typedef khronos_intptr_t GLintptr;
#define GL_ARRAY_BUFFER 0x8892
#define GL_ELEMENT_ARRAY_BUFFER 0x8893
#define GL_ARRAY_BUFFER_BINDING 0x8894
#define GL_ELEMENT_ARRAY_BUFFER_BINDING 0x8895
#define GL_STREAM_DRAW 0x88E0
typedef void (APIENTRYP PFNGLBINDBUFFERPROC) (GLenum target, GLuint buffer);
typedef void (APIENTRYP PFNGLDELETEBUFFERSPROC) (GLsizei n, const GLuint *buffers);
typedef void (APIENTRYP PFNGLGENBUFFERSPROC) (GLsizei n, GLuint *buffers);
typedef void (APIENTRYP PFNGLBUFFERDATAPROC) (GLenum target, GLsizeiptr size, const void *data, GLenum usage);
typedef void (APIENTRYP PFNGLBUFFERSUBDATAPROC) (GLenum target, GLintptr offset, GLsizeiptr size, const void *data);
#ifdef GL_GLEXT_PROTOTYPES
GLAPI void APIENTRY glBindBuffer (GLenum target, GLuint buffer);
GLAPI void APIENTRY glDeleteBuffers (GLsizei n, const GLuint *buffers);
GLAPI void APIENTRY glGenBuffers (GLsizei n, GLuint *buffers);
GLAPI void APIENTRY glBufferData (GLenum target, GLsizeiptr size, const void *data, GLenum usage);
GLAPI void APIENTRY glBufferSubData (GLenum target, GLintptr offset, GLsizeiptr size, const void *data);
#endif
#endif /* GL_VERSION_1_5 */
#ifndef GL_VERSION_2_0
typedef char GLchar;
typedef khronos_int16_t GLshort;
typedef khronos_int8_t GLbyte;
typedef khronos_uint16_t GLushort;
#define GL_BLEND_EQUATION_RGB 0x8009
#define GL_VERTEX_ATTRIB_ARRAY_ENABLED 0x8622
#define GL_VERTEX_ATTRIB_ARRAY_SIZE 0x8623
#define GL_VERTEX_ATTRIB_ARRAY_STRIDE 0x8624
#define GL_VERTEX_ATTRIB_ARRAY_TYPE 0x8625
#define GL_VERTEX_ATTRIB_ARRAY_POINTER 0x8645
#define GL_BLEND_EQUATION_ALPHA 0x883D
#define GL_VERTEX_ATTRIB_ARRAY_NORMALIZED 0x886A
#define GL_FRAGMENT_SHADER 0x8B30
#define GL_VERTEX_SHADER 0x8B31
#define GL_COMPILE_STATUS 0x8B81
#define GL_LINK_STATUS 0x8B82
#define GL_INFO_LOG_LENGTH 0x8B84
#define GL_CURRENT_PROGRAM 0x8B8D
#define GL_UPPER_LEFT 0x8CA2
typedef void (APIENTRYP PFNGLBLENDEQUATIONSEPARATEPROC) (GLenum modeRGB, GLenum modeAlpha);
typedef void (APIENTRYP PFNGLATTACHSHADERPROC) (GLuint program, GLuint shader);
typedef void (APIENTRYP PFNGLCOMPILESHADERPROC) (GLuint shader);
typedef GLuint (APIENTRYP PFNGLCREATEPROGRAMPROC) (void);
typedef GLuint (APIENTRYP PFNGLCREATESHADERPROC) (GLenum type);
typedef void (APIENTRYP PFNGLDELETEPROGRAMPROC) (GLuint program);
typedef void (APIENTRYP PFNGLDELETESHADERPROC) (GLuint shader);
typedef void (APIENTRYP PFNGLDETACHSHADERPROC) (GLuint program, GLuint shader);
typedef void (APIENTRYP PFNGLDISABLEVERTEXATTRIBARRAYPROC) (GLuint index);
typedef void (APIENTRYP PFNGLENABLEVERTEXATTRIBARRAYPROC) (GLuint index);
typedef GLint (APIENTRYP PFNGLGETATTRIBLOCATIONPROC) (GLuint program, const GLchar *name);
typedef void (APIENTRYP PFNGLGETPROGRAMIVPROC) (GLuint program, GLenum pname, GLint *params);
typedef void (APIENTRYP PFNGLGETPROGRAMINFOLOGPROC) (GLuint program, GLsizei bufSize, GLsizei *length, GLchar *infoLog);
typedef void (APIENTRYP PFNGLGETSHADERIVPROC) (GLuint shader, GLenum pname, GLint *params);
typedef void (APIENTRYP PFNGLGETSHADERINFOLOGPROC) (GLuint shader, GLsizei bufSize, GLsizei *length, GLchar *infoLog);
typedef GLint (APIENTRYP PFNGLGETUNIFORMLOCATIONPROC) (GLuint program, const GLchar *name);
typedef void (APIENTRYP PFNGLGETVERTEXATTRIBIVPROC) (GLuint index, GLenum pname, GLint *params);
typedef void (APIENTRYP PFNGLGETVERTEXATTRIBPOINTERVPROC) (GLuint index, GLenum pname, void **pointer);
typedef GLboolean (APIENTRYP PFNGLISPROGRAMPROC) (GLuint program);
typedef void (APIENTRYP PFNGLLINKPROGRAMPROC) (GLuint program);
typedef void (APIENTRYP PFNGLSHADERSOURCEPROC) (GLuint shader, GLsizei count, const GLchar *const*string, const GLint *length);
typedef void (APIENTRYP PFNGLUSEPROGRAMPROC) (GLuint program);
typedef void (APIENTRYP PFNGLUNIFORM1IPROC) (GLint location, GLint v0);
typedef void (APIENTRYP PFNGLUNIFORMMATRIX4FVPROC) (GLint location, GLsizei count, GLboolean transpose, const GLfloat *value);
typedef void (APIENTRYP PFNGLVERTEXATTRIBPOINTERPROC) (GLuint index, GLint size, GLenum type, GLboolean normalized, GLsizei stride, const void *pointer);
#ifdef GL_GLEXT_PROTOTYPES
GLAPI void APIENTRY glBlendEquationSeparate (GLenum modeRGB, GLenum modeAlpha);
GLAPI void APIENTRY glAttachShader (GLuint program, GLuint shader);
GLAPI void APIENTRY glCompileShader (GLuint shader);
GLAPI GLuint APIENTRY glCreateProgram (void);
GLAPI GLuint APIENTRY glCreateShader (GLenum type);
GLAPI void APIENTRY glDeleteProgram (GLuint program);
GLAPI void APIENTRY glDeleteShader (GLuint shader);
GLAPI void APIENTRY glDetachShader (GLuint program, GLuint shader);
GLAPI void APIENTRY glDisableVertexAttribArray (GLuint index);
GLAPI void APIENTRY glEnableVertexAttribArray (GLuint index);
GLAPI GLint APIENTRY glGetAttribLocation (GLuint program, const GLchar *name);
GLAPI void APIENTRY glGetProgramiv (GLuint program, GLenum pname, GLint *params);
GLAPI void APIENTRY glGetProgramInfoLog (GLuint program, GLsizei bufSize, GLsizei *length, GLchar *infoLog);
GLAPI void APIENTRY glGetShaderiv (GLuint shader, GLenum pname, GLint *params);
GLAPI void APIENTRY glGetShaderInfoLog (GLuint shader, GLsizei bufSize, GLsizei *length, GLchar *infoLog);
GLAPI GLint APIENTRY glGetUniformLocation (GLuint program, const GLchar *name);
GLAPI void APIENTRY glGetVertexAttribiv (GLuint index, GLenum pname, GLint *params);
GLAPI void APIENTRY glGetVertexAttribPointerv (GLuint index, GLenum pname, void **pointer);
GLAPI GLboolean APIENTRY glIsProgram (GLuint program);
GLAPI void APIENTRY glLinkProgram (GLuint program);
GLAPI void APIENTRY glShaderSource (GLuint shader, GLsizei count, const GLchar *const*string, const GLint *length);
GLAPI void APIENTRY glUseProgram (GLuint program);
GLAPI void APIENTRY glUniform1i (GLint location, GLint v0);
GLAPI void APIENTRY glUniformMatrix4fv (GLint location, GLsizei count, GLboolean transpose, const GLfloat *value);
GLAPI void APIENTRY glVertexAttribPointer (GLuint index, GLint size, GLenum type, GLboolean normalized, GLsizei stride, const void *pointer);
#endif
#endif /* GL_VERSION_2_0 */
#ifndef GL_VERSION_3_0
typedef khronos_uint16_t GLhalf;
#define GL_MAJOR_VERSION 0x821B
#define GL_MINOR_VERSION 0x821C
#define GL_NUM_EXTENSIONS 0x821D
#define GL_FRAMEBUFFER_SRGB 0x8DB9
#define GL_VERTEX_ARRAY_BINDING 0x85B5
typedef void (APIENTRYP PFNGLGETBOOLEANI_VPROC) (GLenum target, GLuint index, GLboolean *data);
typedef void (APIENTRYP PFNGLGETINTEGERI_VPROC) (GLenum target, GLuint index, GLint *data);
typedef const GLubyte *(APIENTRYP PFNGLGETSTRINGIPROC) (GLenum name, GLuint index);
typedef void (APIENTRYP PFNGLBINDVERTEXARRAYPROC) (GLuint array);
typedef void (APIENTRYP PFNGLDELETEVERTEXARRAYSPROC) (GLsizei n, const GLuint *arrays);
typedef void (APIENTRYP PFNGLGENVERTEXARRAYSPROC) (GLsizei n, GLuint *arrays);
#ifdef GL_GLEXT_PROTOTYPES
GLAPI const GLubyte *APIENTRY glGetStringi (GLenum name, GLuint index);
GLAPI void APIENTRY glBindVertexArray (GLuint array);
GLAPI void APIENTRY glDeleteVertexArrays (GLsizei n, const GLuint *arrays);
GLAPI void APIENTRY glGenVertexArrays (GLsizei n, GLuint *arrays);
#endif
#endif /* GL_VERSION_3_0 */
#ifndef GL_VERSION_3_1
#define GL_VERSION_3_1 1
#define GL_PRIMITIVE_RESTART 0x8F9D
#endif /* GL_VERSION_3_1 */
#ifndef GL_VERSION_3_2
#define GL_VERSION_3_2 1
typedef struct __GLsync *GLsync;
typedef khronos_uint64_t GLuint64;
typedef khronos_int64_t GLint64;
typedef void (APIENTRYP PFNGLDRAWELEMENTSBASEVERTEXPROC) (GLenum mode, GLsizei count, GLenum type, const void *indices, GLint basevertex);
typedef void (APIENTRYP PFNGLGETINTEGER64I_VPROC) (GLenum target, GLuint index, GLint64 *data);
#ifdef GL_GLEXT_PROTOTYPES
GLAPI void APIENTRY glDrawElementsBaseVertex (GLenum mode, GLsizei count, GLenum type, const void *indices, GLint basevertex);
#endif
#endif /* GL_VERSION_3_2 */
#ifndef GL_VERSION_3_3
#define GL_VERSION_3_3 1
#define GL_SAMPLER_BINDING 0x8919
typedef void (APIENTRYP PFNGLBINDSAMPLERPROC) (GLuint unit, GLuint sampler);
#ifdef GL_GLEXT_PROTOTYPES
GLAPI void APIENTRY glBindSampler (GLuint unit, GLuint sampler);
#endif
#endif /* GL_VERSION_3_3 */
#ifndef GL_VERSION_4_1
typedef void (APIENTRYP PFNGLGETFLOATI_VPROC) (GLenum target, GLuint index, GLfloat *data);
typedef void (APIENTRYP PFNGLGETDOUBLEI_VPROC) (GLenum target, GLuint index, GLdouble *data);
#endif /* GL_VERSION_4_1 */
#ifndef GL_VERSION_4_3
typedef void (APIENTRY *GLDEBUGPROC)(GLenum source,GLenum type,GLuint id,GLenum severity,GLsizei length,const GLchar *message,const void *userParam);
#endif /* GL_VERSION_4_3 */
#ifndef GL_VERSION_4_5
#define GL_CLIP_ORIGIN 0x935C
typedef void (APIENTRYP PFNGLGETTRANSFORMFEEDBACKI_VPROC) (GLuint xfb, GLenum pname, GLuint index, GLint *param);
typedef void (APIENTRYP PFNGLGETTRANSFORMFEEDBACKI64_VPROC) (GLuint xfb, GLenum pname, GLuint index, GLint64 *param);
#endif /* GL_VERSION_4_5 */
#ifndef GL_ARB_bindless_texture
typedef khronos_uint64_t GLuint64EXT;
#endif /* GL_ARB_bindless_texture */
#ifndef GL_ARB_cl_event
struct _cl_context;
struct _cl_event;
#endif /* GL_ARB_cl_event */
#ifndef GL_ARB_clip_control
#define GL_ARB_clip_control 1
#endif /* GL_ARB_clip_control */
#ifndef GL_ARB_debug_output
typedef void (APIENTRY *GLDEBUGPROCARB)(GLenum source,GLenum type,GLuint id,GLenum severity,GLsizei length,const GLchar *message,const void *userParam);
#endif /* GL_ARB_debug_output */
#ifndef GL_EXT_EGL_image_storage
typedef void *GLeglImageOES;
#endif /* GL_EXT_EGL_image_storage */
#ifndef GL_EXT_direct_state_access
typedef void (APIENTRYP PFNGLGETFLOATI_VEXTPROC) (GLenum pname, GLuint index, GLfloat *params);
typedef void (APIENTRYP PFNGLGETDOUBLEI_VEXTPROC) (GLenum pname, GLuint index, GLdouble *params);
typedef void (APIENTRYP PFNGLGETPOINTERI_VEXTPROC) (GLenum pname, GLuint index, void **params);
typedef void (APIENTRYP PFNGLGETVERTEXARRAYINTEGERI_VEXTPROC) (GLuint vaobj, GLuint index, GLenum pname, GLint *param);
typedef void (APIENTRYP PFNGLGETVERTEXARRAYPOINTERI_VEXTPROC) (GLuint vaobj, GLuint index, GLenum pname, void **param);
#endif /* GL_EXT_direct_state_access */
#ifndef GL_NV_draw_vulkan_image
typedef void (APIENTRY *GLVULKANPROCNV)(void);
#endif /* GL_NV_draw_vulkan_image */
#ifndef GL_NV_gpu_shader5
typedef khronos_int64_t GLint64EXT;
#endif /* GL_NV_gpu_shader5 */
#ifndef GL_NV_vertex_buffer_unified_memory
typedef void (APIENTRYP PFNGLGETINTEGERUI64I_VNVPROC) (GLenum value, GLuint index, GLuint64EXT *result);
#endif /* GL_NV_vertex_buffer_unified_memory */
#ifdef __cplusplus
}
#endif
#endif
#ifndef GL3W_API
#define GL3W_API
#endif
#ifndef __gl_h_
#define __gl_h_
#endif
#ifdef __cplusplus
extern "C" {
#endif
#define GL3W_OK 0
#define GL3W_ERROR_INIT -1
#define GL3W_ERROR_LIBRARY_OPEN -2
#define GL3W_ERROR_OPENGL_VERSION -3
typedef void (*GL3WglProc)(void);
typedef GL3WglProc (*GL3WGetProcAddressProc)(const char *proc);
/* gl3w api */
GL3W_API int imgl3wInit(void);
GL3W_API int imgl3wInit2(GL3WGetProcAddressProc proc);
GL3W_API int imgl3wIsSupported(int major, int minor);
GL3W_API GL3WglProc imgl3wGetProcAddress(const char *proc);
/* gl3w internal state */
union GL3WProcs {
GL3WglProc ptr[59];
struct {
PFNGLACTIVETEXTUREPROC ActiveTexture;
PFNGLATTACHSHADERPROC AttachShader;
PFNGLBINDBUFFERPROC BindBuffer;
PFNGLBINDSAMPLERPROC BindSampler;
PFNGLBINDTEXTUREPROC BindTexture;
PFNGLBINDVERTEXARRAYPROC BindVertexArray;
PFNGLBLENDEQUATIONPROC BlendEquation;
PFNGLBLENDEQUATIONSEPARATEPROC BlendEquationSeparate;
PFNGLBLENDFUNCSEPARATEPROC BlendFuncSeparate;
PFNGLBUFFERDATAPROC BufferData;
PFNGLBUFFERSUBDATAPROC BufferSubData;
PFNGLCLEARPROC Clear;
PFNGLCLEARCOLORPROC ClearColor;
PFNGLCOMPILESHADERPROC CompileShader;
PFNGLCREATEPROGRAMPROC CreateProgram;
PFNGLCREATESHADERPROC CreateShader;
PFNGLDELETEBUFFERSPROC DeleteBuffers;
PFNGLDELETEPROGRAMPROC DeleteProgram;
PFNGLDELETESHADERPROC DeleteShader;
PFNGLDELETETEXTURESPROC DeleteTextures;
PFNGLDELETEVERTEXARRAYSPROC DeleteVertexArrays;
PFNGLDETACHSHADERPROC DetachShader;
PFNGLDISABLEPROC Disable;
PFNGLDISABLEVERTEXATTRIBARRAYPROC DisableVertexAttribArray;
PFNGLDRAWELEMENTSPROC DrawElements;
PFNGLDRAWELEMENTSBASEVERTEXPROC DrawElementsBaseVertex;
PFNGLENABLEPROC Enable;
PFNGLENABLEVERTEXATTRIBARRAYPROC EnableVertexAttribArray;
PFNGLFLUSHPROC Flush;
PFNGLGENBUFFERSPROC GenBuffers;
PFNGLGENTEXTURESPROC GenTextures;
PFNGLGENVERTEXARRAYSPROC GenVertexArrays;
PFNGLGETATTRIBLOCATIONPROC GetAttribLocation;
PFNGLGETERRORPROC GetError;
PFNGLGETINTEGERVPROC GetIntegerv;
PFNGLGETPROGRAMINFOLOGPROC GetProgramInfoLog;
PFNGLGETPROGRAMIVPROC GetProgramiv;
PFNGLGETSHADERINFOLOGPROC GetShaderInfoLog;
PFNGLGETSHADERIVPROC GetShaderiv;
PFNGLGETSTRINGPROC GetString;
PFNGLGETSTRINGIPROC GetStringi;
PFNGLGETUNIFORMLOCATIONPROC GetUniformLocation;
PFNGLGETVERTEXATTRIBPOINTERVPROC GetVertexAttribPointerv;
PFNGLGETVERTEXATTRIBIVPROC GetVertexAttribiv;
PFNGLISENABLEDPROC IsEnabled;
PFNGLISPROGRAMPROC IsProgram;
PFNGLLINKPROGRAMPROC LinkProgram;
PFNGLPIXELSTOREIPROC PixelStorei;
PFNGLPOLYGONMODEPROC PolygonMode;
PFNGLREADPIXELSPROC ReadPixels;
PFNGLSCISSORPROC Scissor;
PFNGLSHADERSOURCEPROC ShaderSource;
PFNGLTEXIMAGE2DPROC TexImage2D;
PFNGLTEXPARAMETERIPROC TexParameteri;
PFNGLUNIFORM1IPROC Uniform1i;
PFNGLUNIFORMMATRIX4FVPROC UniformMatrix4fv;
PFNGLUSEPROGRAMPROC UseProgram;
PFNGLVERTEXATTRIBPOINTERPROC VertexAttribPointer;
PFNGLVIEWPORTPROC Viewport;
} gl;
};
GL3W_API extern union GL3WProcs imgl3wProcs;
/* OpenGL functions */
#define glActiveTexture imgl3wProcs.gl.ActiveTexture
#define glAttachShader imgl3wProcs.gl.AttachShader
#define glBindBuffer imgl3wProcs.gl.BindBuffer
#define glBindSampler imgl3wProcs.gl.BindSampler
#define glBindTexture imgl3wProcs.gl.BindTexture
#define glBindVertexArray imgl3wProcs.gl.BindVertexArray
#define glBlendEquation imgl3wProcs.gl.BlendEquation
#define glBlendEquationSeparate imgl3wProcs.gl.BlendEquationSeparate
#define glBlendFuncSeparate imgl3wProcs.gl.BlendFuncSeparate
#define glBufferData imgl3wProcs.gl.BufferData
#define glBufferSubData imgl3wProcs.gl.BufferSubData
#define glClear imgl3wProcs.gl.Clear
#define glClearColor imgl3wProcs.gl.ClearColor
#define glCompileShader imgl3wProcs.gl.CompileShader
#define glCreateProgram imgl3wProcs.gl.CreateProgram
#define glCreateShader imgl3wProcs.gl.CreateShader
#define glDeleteBuffers imgl3wProcs.gl.DeleteBuffers
#define glDeleteProgram imgl3wProcs.gl.DeleteProgram
#define glDeleteShader imgl3wProcs.gl.DeleteShader
#define glDeleteTextures imgl3wProcs.gl.DeleteTextures
#define glDeleteVertexArrays imgl3wProcs.gl.DeleteVertexArrays
#define glDetachShader imgl3wProcs.gl.DetachShader
#define glDisable imgl3wProcs.gl.Disable
#define glDisableVertexAttribArray imgl3wProcs.gl.DisableVertexAttribArray
#define glDrawElements imgl3wProcs.gl.DrawElements
#define glDrawElementsBaseVertex imgl3wProcs.gl.DrawElementsBaseVertex
#define glEnable imgl3wProcs.gl.Enable
#define glEnableVertexAttribArray imgl3wProcs.gl.EnableVertexAttribArray
#define glFlush imgl3wProcs.gl.Flush
#define glGenBuffers imgl3wProcs.gl.GenBuffers
#define glGenTextures imgl3wProcs.gl.GenTextures
#define glGenVertexArrays imgl3wProcs.gl.GenVertexArrays
#define glGetAttribLocation imgl3wProcs.gl.GetAttribLocation
#define glGetError imgl3wProcs.gl.GetError
#define glGetIntegerv imgl3wProcs.gl.GetIntegerv
#define glGetProgramInfoLog imgl3wProcs.gl.GetProgramInfoLog
#define glGetProgramiv imgl3wProcs.gl.GetProgramiv
#define glGetShaderInfoLog imgl3wProcs.gl.GetShaderInfoLog
#define glGetShaderiv imgl3wProcs.gl.GetShaderiv
#define glGetString imgl3wProcs.gl.GetString
#define glGetStringi imgl3wProcs.gl.GetStringi
#define glGetUniformLocation imgl3wProcs.gl.GetUniformLocation
#define glGetVertexAttribPointerv imgl3wProcs.gl.GetVertexAttribPointerv
#define glGetVertexAttribiv imgl3wProcs.gl.GetVertexAttribiv
#define glIsEnabled imgl3wProcs.gl.IsEnabled
#define glIsProgram imgl3wProcs.gl.IsProgram
#define glLinkProgram imgl3wProcs.gl.LinkProgram
#define glPixelStorei imgl3wProcs.gl.PixelStorei
#define glPolygonMode imgl3wProcs.gl.PolygonMode
#define glReadPixels imgl3wProcs.gl.ReadPixels
#define glScissor imgl3wProcs.gl.Scissor
#define glShaderSource imgl3wProcs.gl.ShaderSource
#define glTexImage2D imgl3wProcs.gl.TexImage2D
#define glTexParameteri imgl3wProcs.gl.TexParameteri
#define glUniform1i imgl3wProcs.gl.Uniform1i
#define glUniformMatrix4fv imgl3wProcs.gl.UniformMatrix4fv
#define glUseProgram imgl3wProcs.gl.UseProgram
#define glVertexAttribPointer imgl3wProcs.gl.VertexAttribPointer
#define glViewport imgl3wProcs.gl.Viewport
#ifdef __cplusplus
}
#endif
#endif
#ifdef IMGL3W_IMPL
#ifdef __cplusplus
extern "C" {
#endif
#include <stdlib.h>
#define ARRAY_SIZE(x) (sizeof(x) / sizeof((x)[0]))
#if defined(_WIN32)
#ifndef WIN32_LEAN_AND_MEAN
#define WIN32_LEAN_AND_MEAN 1
#endif
#include <windows.h>
static HMODULE libgl;
typedef PROC(__stdcall* GL3WglGetProcAddr)(LPCSTR);
static GL3WglGetProcAddr wgl_get_proc_address;
static int open_libgl(void)
{
libgl = LoadLibraryA("opengl32.dll");
if (!libgl)
return GL3W_ERROR_LIBRARY_OPEN;
wgl_get_proc_address = (GL3WglGetProcAddr)GetProcAddress(libgl, "wglGetProcAddress");
return GL3W_OK;
}
static void close_libgl(void) { FreeLibrary(libgl); }
static GL3WglProc get_proc(const char *proc)
{
GL3WglProc res;
res = (GL3WglProc)wgl_get_proc_address(proc);
if (!res)
res = (GL3WglProc)GetProcAddress(libgl, proc);
return res;
}
#elif defined(__APPLE__)
#include <dlfcn.h>
static void *libgl;
static int open_libgl(void)
{
libgl = dlopen("/System/Library/Frameworks/OpenGL.framework/OpenGL", RTLD_LAZY | RTLD_LOCAL);
if (!libgl)
return GL3W_ERROR_LIBRARY_OPEN;
return GL3W_OK;
}
static void close_libgl(void) { dlclose(libgl); }
static GL3WglProc get_proc(const char *proc)
{
GL3WglProc res;
*(void **)(&res) = dlsym(libgl, proc);
return res;
}
#else
#include <dlfcn.h>
static void *libgl;
static GL3WglProc (*glx_get_proc_address)(const GLubyte *);
static int open_libgl(void)
{
libgl = dlopen("libGL.so.1", RTLD_LAZY | RTLD_LOCAL);
if (!libgl)
return GL3W_ERROR_LIBRARY_OPEN;
*(void **)(&glx_get_proc_address) = dlsym(libgl, "glXGetProcAddressARB");
return GL3W_OK;
}
static void close_libgl(void) { dlclose(libgl); }
static GL3WglProc get_proc(const char *proc)
{
GL3WglProc res;
res = glx_get_proc_address((const GLubyte *)proc);
if (!res)
*(void **)(&res) = dlsym(libgl, proc);
return res;
}
#endif
static struct { int major, minor; } version;
static int parse_version(void)
{
if (!glGetIntegerv)
return GL3W_ERROR_INIT;
glGetIntegerv(GL_MAJOR_VERSION, &version.major);
glGetIntegerv(GL_MINOR_VERSION, &version.minor);
if (version.major == 0 && version.minor == 0)
{
// Query GL_VERSION in desktop GL 2.x, the string will start with "<major>.<minor>"
if (const char* gl_version = (const char*)glGetString(GL_VERSION))
sscanf(gl_version, "%d.%d", &version.major, &version.minor);
}
if (version.major < 2)
return GL3W_ERROR_OPENGL_VERSION;
return GL3W_OK;
}
static void load_procs(GL3WGetProcAddressProc proc);
int imgl3wInit(void)
{
int res = open_libgl();
if (res)
return res;
atexit(close_libgl);
return imgl3wInit2(get_proc);
}
int imgl3wInit2(GL3WGetProcAddressProc proc)
{
load_procs(proc);
return parse_version();
}
int imgl3wIsSupported(int major, int minor)
{
if (major < 2)
return 0;
if (version.major == major)
return version.minor >= minor;
return version.major >= major;
}
GL3WglProc imgl3wGetProcAddress(const char *proc) { return get_proc(proc); }
static const char *proc_names[] = {
"glActiveTexture",
"glAttachShader",
"glBindBuffer",
"glBindSampler",
"glBindTexture",
"glBindVertexArray",
"glBlendEquation",
"glBlendEquationSeparate",
"glBlendFuncSeparate",
"glBufferData",
"glBufferSubData",
"glClear",
"glClearColor",
"glCompileShader",
"glCreateProgram",
"glCreateShader",
"glDeleteBuffers",
"glDeleteProgram",
"glDeleteShader",
"glDeleteTextures",
"glDeleteVertexArrays",
"glDetachShader",
"glDisable",
"glDisableVertexAttribArray",
"glDrawElements",
"glDrawElementsBaseVertex",
"glEnable",
"glEnableVertexAttribArray",
"glFlush",
"glGenBuffers",
"glGenTextures",
"glGenVertexArrays",
"glGetAttribLocation",
"glGetError",
"glGetIntegerv",
"glGetProgramInfoLog",
"glGetProgramiv",
"glGetShaderInfoLog",
"glGetShaderiv",
"glGetString",
"glGetStringi",
"glGetUniformLocation",
"glGetVertexAttribPointerv",
"glGetVertexAttribiv",
"glIsEnabled",
"glIsProgram",
"glLinkProgram",
"glPixelStorei",
"glPolygonMode",
"glReadPixels",
"glScissor",
"glShaderSource",
"glTexImage2D",
"glTexParameteri",
"glUniform1i",
"glUniformMatrix4fv",
"glUseProgram",
"glVertexAttribPointer",
"glViewport",
};
GL3W_API union GL3WProcs imgl3wProcs;
static void load_procs(GL3WGetProcAddressProc proc)
{
size_t i;
for (i = 0; i < ARRAY_SIZE(proc_names); i++)
imgl3wProcs.ptr[i] = proc(proc_names[i]);
}
#ifdef __cplusplus
}
#endif
#endif
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_opengl2.h | // dear imgui: Renderer Backend for OpenGL2 (legacy OpenGL, fixed pipeline)
// This needs to be used along with a Platform Backend (e.g. GLFW, SDL, Win32, custom..)
// Implemented features:
// [X] Renderer: User texture binding. Use 'GLuint' OpenGL texture identifier as void*/ImTextureID. Read the FAQ about ImTextureID!
// [X] Renderer: Multi-viewport support (multiple windows). Enable with 'io.ConfigFlags |= ImGuiConfigFlags_ViewportsEnable'.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
// **DO NOT USE THIS CODE IF YOUR CODE/ENGINE IS USING MODERN OPENGL (SHADERS, VBO, VAO, etc.)**
// **Prefer using the code in imgui_impl_opengl3.cpp**
// This code is mostly provided as a reference to learn how ImGui integration works, because it is shorter to read.
// If your code is using GL3+ context or any semi modern OpenGL calls, using this is likely to make everything more
// complicated, will require your code to reset every single OpenGL attributes to their initial state, and might
// confuse your GPU driver.
// The GL2 code is unable to reset attributes or even call e.g. "glUseProgram(0)" because they don't exist in that API.
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
IMGUI_IMPL_API bool ImGui_ImplOpenGL2_Init();
IMGUI_IMPL_API void ImGui_ImplOpenGL2_Shutdown();
IMGUI_IMPL_API void ImGui_ImplOpenGL2_NewFrame();
IMGUI_IMPL_API void ImGui_ImplOpenGL2_RenderDrawData(ImDrawData* draw_data);
// Called by Init/NewFrame/Shutdown
IMGUI_IMPL_API bool ImGui_ImplOpenGL2_CreateFontsTexture();
IMGUI_IMPL_API void ImGui_ImplOpenGL2_DestroyFontsTexture();
IMGUI_IMPL_API bool ImGui_ImplOpenGL2_CreateDeviceObjects();
IMGUI_IMPL_API void ImGui_ImplOpenGL2_DestroyDeviceObjects();
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_osx.h | // dear imgui: Platform Backend for OSX / Cocoa
// This needs to be used along with a Renderer (e.g. OpenGL2, OpenGL3, Vulkan, Metal..)
// - Not well tested. If you want a portable application, prefer using the GLFW or SDL platform Backends on Mac.
// - Requires linking with the GameController framework ("-framework GameController").
// Implemented features:
// [X] Platform: Mouse cursor shape and visibility. Disable with 'io.ConfigFlags |= ImGuiConfigFlags_NoMouseCursorChange'.
// [X] Platform: Mouse support. Can discriminate Mouse/Pen.
// [X] Platform: Keyboard support. Since 1.87 we are using the io.AddKeyEvent() function. Pass ImGuiKey values to all key functions e.g. ImGui::IsKeyPressed(ImGuiKey_Space). [Legacy kVK_* values will also be supported unless IMGUI_DISABLE_OBSOLETE_KEYIO is set]
// [X] Platform: OSX clipboard is supported within core Dear ImGui (no specific code in this backend).
// [X] Platform: Gamepad support. Enabled with 'io.ConfigFlags |= ImGuiConfigFlags_NavEnableGamepad'.
// [X] Platform: IME support.
// [X] Platform: Multi-viewport / platform windows.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
#include "imgui.h" // IMGUI_IMPL_API
#ifdef __OBJC__
@class NSEvent;
@class NSView;
IMGUI_IMPL_API bool ImGui_ImplOSX_Init(NSView* _Nonnull view);
IMGUI_IMPL_API void ImGui_ImplOSX_Shutdown();
IMGUI_IMPL_API void ImGui_ImplOSX_NewFrame(NSView* _Nullable view);
#endif
//-----------------------------------------------------------------------------
// C++ API
//-----------------------------------------------------------------------------
#ifdef IMGUI_IMPL_METAL_CPP_EXTENSIONS
// #include <AppKit/AppKit.hpp>
#ifndef __OBJC__
IMGUI_IMPL_API bool ImGui_ImplOSX_Init(void* _Nonnull view);
IMGUI_IMPL_API void ImGui_ImplOSX_Shutdown();
IMGUI_IMPL_API void ImGui_ImplOSX_NewFrame(void* _Nullable view);
#endif
#endif
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_dx11.h | // dear imgui: Renderer Backend for DirectX11
// This needs to be used along with a Platform Backend (e.g. Win32)
// Implemented features:
// [X] Renderer: User texture binding. Use 'ID3D11ShaderResourceView*' as ImTextureID. Read the FAQ about ImTextureID!
// [X] Renderer: Large meshes support (64k+ vertices) with 16-bit indices.
// [X] Renderer: Multi-viewport support (multiple windows). Enable with 'io.ConfigFlags |= ImGuiConfigFlags_ViewportsEnable'.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
struct ID3D11Device;
struct ID3D11DeviceContext;
IMGUI_IMPL_API bool ImGui_ImplDX11_Init(ID3D11Device* device, ID3D11DeviceContext* device_context);
IMGUI_IMPL_API void ImGui_ImplDX11_Shutdown();
IMGUI_IMPL_API void ImGui_ImplDX11_NewFrame();
IMGUI_IMPL_API void ImGui_ImplDX11_RenderDrawData(ImDrawData* draw_data);
// Use if you want to reset your rendering device without losing Dear ImGui state.
IMGUI_IMPL_API void ImGui_ImplDX11_InvalidateDeviceObjects();
IMGUI_IMPL_API bool ImGui_ImplDX11_CreateDeviceObjects();
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_wgpu.h | // dear imgui: Renderer for WebGPU
// This needs to be used along with a Platform Binding (e.g. GLFW)
// (Please note that WebGPU is currently experimental, will not run on non-beta browsers, and may break.)
// Implemented features:
// [X] Renderer: User texture binding. Use 'WGPUTextureView' as ImTextureID. Read the FAQ about ImTextureID!
// [X] Renderer: Large meshes support (64k+ vertices) with 16-bit indices.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
#include <webgpu/webgpu.h>
IMGUI_IMPL_API bool ImGui_ImplWGPU_Init(WGPUDevice device, int num_frames_in_flight, WGPUTextureFormat rt_format, WGPUTextureFormat depth_format = WGPUTextureFormat_Undefined);
IMGUI_IMPL_API void ImGui_ImplWGPU_Shutdown();
IMGUI_IMPL_API void ImGui_ImplWGPU_NewFrame();
IMGUI_IMPL_API void ImGui_ImplWGPU_RenderDrawData(ImDrawData* draw_data, WGPURenderPassEncoder pass_encoder);
// Use if you want to reset your rendering device without losing Dear ImGui state.
IMGUI_IMPL_API void ImGui_ImplWGPU_InvalidateDeviceObjects();
IMGUI_IMPL_API bool ImGui_ImplWGPU_CreateDeviceObjects();
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_sdl2.h | // dear imgui: Platform Backend for SDL2
// This needs to be used along with a Renderer (e.g. DirectX11, OpenGL3, Vulkan..)
// (Info: SDL2 is a cross-platform general purpose library for handling windows, inputs, graphics context creation, etc.)
// Implemented features:
// [X] Platform: Clipboard support.
// [X] Platform: Mouse support. Can discriminate Mouse/TouchScreen.
// [X] Platform: Keyboard support. Since 1.87 we are using the io.AddKeyEvent() function. Pass ImGuiKey values to all key functions e.g. ImGui::IsKeyPressed(ImGuiKey_Space). [Legacy SDL_SCANCODE_* values will also be supported unless IMGUI_DISABLE_OBSOLETE_KEYIO is set]
// [X] Platform: Gamepad support. Enabled with 'io.ConfigFlags |= ImGuiConfigFlags_NavEnableGamepad'.
// [X] Platform: Mouse cursor shape and visibility. Disable with 'io.ConfigFlags |= ImGuiConfigFlags_NoMouseCursorChange'.
// [X] Platform: Multi-viewport support (multiple windows). Enable with 'io.ConfigFlags |= ImGuiConfigFlags_ViewportsEnable'.
// Missing features:
// [ ] Platform: Multi-viewport + Minimized windows seems to break mouse wheel events (at least under Windows).
// [x] Platform: Basic IME support. App needs to call 'SDL_SetHint(SDL_HINT_IME_SHOW_UI, "1");' before SDL_CreateWindow()!.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
struct SDL_Window;
struct SDL_Renderer;
typedef union SDL_Event SDL_Event;
IMGUI_IMPL_API bool ImGui_ImplSDL2_Init(SDL_Window* window, SDL_Renderer* renderer, void* sdl_gl_context);
IMGUI_IMPL_API bool ImGui_ImplSDL2_InitForOpenGL(SDL_Window* window, void* sdl_gl_context);
IMGUI_IMPL_API bool ImGui_ImplSDL2_InitForVulkan(SDL_Window* window);
IMGUI_IMPL_API bool ImGui_ImplSDL2_InitForD3D(SDL_Window* window);
IMGUI_IMPL_API bool ImGui_ImplSDL2_InitForMetal(SDL_Window* window);
IMGUI_IMPL_API bool ImGui_ImplSDL2_InitForSDLRenderer(SDL_Window* window, SDL_Renderer* renderer);
IMGUI_IMPL_API void ImGui_ImplSDL2_Shutdown();
IMGUI_IMPL_API void ImGui_ImplSDL2_NewFrame();
IMGUI_IMPL_API bool ImGui_ImplSDL2_ProcessEvent(const SDL_Event* event);
#ifndef IMGUI_DISABLE_OBSOLETE_FUNCTIONS
static inline void ImGui_ImplSDL2_NewFrame(SDL_Window*) { ImGui_ImplSDL2_NewFrame(); } // 1.84: removed unnecessary parameter
#endif
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_sdl3.h | // dear imgui: Platform Backend for SDL3 (*EXPERIMENTAL*)
// This needs to be used along with a Renderer (e.g. DirectX11, OpenGL3, Vulkan..)
// (Info: SDL3 is a cross-platform general purpose library for handling windows, inputs, graphics context creation, etc.)
// (IMPORTANT: SDL 3.0.0 is NOT YET RELEASED. IT IS POSSIBLE THAT ITS SPECS/API WILL CHANGE BEFORE RELEASE)
// Implemented features:
// [X] Platform: Clipboard support.
// [X] Platform: Mouse support. Can discriminate Mouse/TouchScreen.
// [X] Platform: Keyboard support. Since 1.87 we are using the io.AddKeyEvent() function. Pass ImGuiKey values to all key functions e.g. ImGui::IsKeyPressed(ImGuiKey_Space). [Legacy SDL_SCANCODE_* values will also be supported unless IMGUI_DISABLE_OBSOLETE_KEYIO is set]
// [X] Platform: Gamepad support. Enabled with 'io.ConfigFlags |= ImGuiConfigFlags_NavEnableGamepad'.
// [X] Platform: Mouse cursor shape and visibility. Disable with 'io.ConfigFlags |= ImGuiConfigFlags_NoMouseCursorChange'.
// [x] Platform: Multi-viewport support (multiple windows). Enable with 'io.ConfigFlags |= ImGuiConfigFlags_ViewportsEnable' -> the OS animation effect when window gets created/destroyed is problematic. SDL2 backend doesn't have issue.
// Missing features:
// [ ] Platform: Multi-viewport + Minimized windows seems to break mouse wheel events (at least under Windows).
// [x] Platform: Basic IME support. Position somehow broken in SDL3 + app needs to call 'SDL_SetHint(SDL_HINT_IME_SHOW_UI, "1");' before SDL_CreateWindow()!.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
struct SDL_Window;
struct SDL_Renderer;
typedef union SDL_Event SDL_Event;
IMGUI_IMPL_API bool ImGui_ImplSDL3_InitForOpenGL(SDL_Window* window, void* sdl_gl_context);
IMGUI_IMPL_API bool ImGui_ImplSDL3_InitForVulkan(SDL_Window* window);
IMGUI_IMPL_API bool ImGui_ImplSDL3_InitForD3D(SDL_Window* window);
IMGUI_IMPL_API bool ImGui_ImplSDL3_InitForMetal(SDL_Window* window);
IMGUI_IMPL_API bool ImGui_ImplSDL3_InitForSDLRenderer(SDL_Window* window, SDL_Renderer* renderer);
IMGUI_IMPL_API void ImGui_ImplSDL3_Shutdown();
IMGUI_IMPL_API void ImGui_ImplSDL3_NewFrame();
IMGUI_IMPL_API bool ImGui_ImplSDL3_ProcessEvent(const SDL_Event* event);
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_android.h | // dear imgui: Platform Binding for Android native app
// This needs to be used along with the OpenGL 3 Renderer (imgui_impl_opengl3)
// Implemented features:
// [X] Platform: Keyboard support. Since 1.87 we are using the io.AddKeyEvent() function. Pass ImGuiKey values to all key functions e.g. ImGui::IsKeyPressed(ImGuiKey_Space). [Legacy AKEYCODE_* values will also be supported unless IMGUI_DISABLE_OBSOLETE_KEYIO is set]
// [X] Platform: Mouse support. Can discriminate Mouse/TouchScreen/Pen.
// Missing features:
// [ ] Platform: Clipboard support.
// [ ] Platform: Gamepad support. Enable with 'io.ConfigFlags |= ImGuiConfigFlags_NavEnableGamepad'.
// [ ] Platform: Mouse cursor shape and visibility. Disable with 'io.ConfigFlags |= ImGuiConfigFlags_NoMouseCursorChange'. FIXME: Check if this is even possible with Android.
// Important:
// - Consider using SDL or GLFW backend on Android, which will be more full-featured than this.
// - FIXME: On-screen keyboard currently needs to be enabled by the application (see examples/ and issue #3446)
// - FIXME: Unicode character inputs needs to be passed by Dear ImGui by the application (see examples/ and issue #3446)
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
#pragma once
struct ANativeWindow;
struct AInputEvent;
IMGUI_IMPL_API bool ImGui_ImplAndroid_Init(ANativeWindow* window);
IMGUI_IMPL_API int32_t ImGui_ImplAndroid_HandleInputEvent(AInputEvent* input_event);
IMGUI_IMPL_API void ImGui_ImplAndroid_Shutdown();
IMGUI_IMPL_API void ImGui_ImplAndroid_NewFrame();
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_sdlrenderer.h | // dear imgui: Renderer Backend for SDL_Renderer
// (Requires: SDL 2.0.17+)
// Important to understand: SDL_Renderer is an _optional_ component of SDL.
// For a multi-platform app consider using e.g. SDL+DirectX on Windows and SDL+OpenGL on Linux/OSX.
// If your application will want to render any non trivial amount of graphics other than UI,
// please be aware that SDL_Renderer offers a limited graphic API to the end-user and it might
// be difficult to step out of those boundaries.
// However, we understand it is a convenient choice to get an app started easily.
// Implemented features:
// [X] Renderer: User texture binding. Use 'SDL_Texture*' as ImTextureID. Read the FAQ about ImTextureID!
// [X] Renderer: Large meshes support (64k+ vertices) with 16-bit indices.
// Missing features:
// [ ] Renderer: Multi-viewport support (multiple windows).
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
struct SDL_Renderer;
IMGUI_IMPL_API bool ImGui_ImplSDLRenderer_Init(SDL_Renderer* renderer);
IMGUI_IMPL_API void ImGui_ImplSDLRenderer_Shutdown();
IMGUI_IMPL_API void ImGui_ImplSDLRenderer_NewFrame();
IMGUI_IMPL_API void ImGui_ImplSDLRenderer_RenderDrawData(ImDrawData* draw_data);
// Called by Init/NewFrame/Shutdown
IMGUI_IMPL_API bool ImGui_ImplSDLRenderer_CreateFontsTexture();
IMGUI_IMPL_API void ImGui_ImplSDLRenderer_DestroyFontsTexture();
IMGUI_IMPL_API bool ImGui_ImplSDLRenderer_CreateDeviceObjects();
IMGUI_IMPL_API void ImGui_ImplSDLRenderer_DestroyDeviceObjects();
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_metal.h | // dear imgui: Renderer Backend for Metal
// This needs to be used along with a Platform Backend (e.g. OSX)
// Implemented features:
// [X] Renderer: User texture binding. Use 'MTLTexture' as ImTextureID. Read the FAQ about ImTextureID!
// [X] Renderer: Large meshes support (64k+ vertices) with 16-bit indices.
// [X] Renderer: Multi-viewport support (multiple windows). Enable with 'io.ConfigFlags |= ImGuiConfigFlags_ViewportsEnable'.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
#include "imgui.h" // IMGUI_IMPL_API
//-----------------------------------------------------------------------------
// ObjC API
//-----------------------------------------------------------------------------
#ifdef __OBJC__
@class MTLRenderPassDescriptor;
@protocol MTLDevice, MTLCommandBuffer, MTLRenderCommandEncoder;
IMGUI_IMPL_API bool ImGui_ImplMetal_Init(id<MTLDevice> device);
IMGUI_IMPL_API void ImGui_ImplMetal_Shutdown();
IMGUI_IMPL_API void ImGui_ImplMetal_NewFrame(MTLRenderPassDescriptor* renderPassDescriptor);
IMGUI_IMPL_API void ImGui_ImplMetal_RenderDrawData(ImDrawData* drawData,
id<MTLCommandBuffer> commandBuffer,
id<MTLRenderCommandEncoder> commandEncoder);
// Called by Init/NewFrame/Shutdown
IMGUI_IMPL_API bool ImGui_ImplMetal_CreateFontsTexture(id<MTLDevice> device);
IMGUI_IMPL_API void ImGui_ImplMetal_DestroyFontsTexture();
IMGUI_IMPL_API bool ImGui_ImplMetal_CreateDeviceObjects(id<MTLDevice> device);
IMGUI_IMPL_API void ImGui_ImplMetal_DestroyDeviceObjects();
#endif
//-----------------------------------------------------------------------------
// C++ API
//-----------------------------------------------------------------------------
// Enable Metal C++ binding support with '#define IMGUI_IMPL_METAL_CPP' in your imconfig.h file
// More info about using Metal from C++: https://developer.apple.com/metal/cpp/
#ifdef IMGUI_IMPL_METAL_CPP
#include <Metal/Metal.hpp>
#ifndef __OBJC__
IMGUI_IMPL_API bool ImGui_ImplMetal_Init(MTL::Device* device);
IMGUI_IMPL_API void ImGui_ImplMetal_Shutdown();
IMGUI_IMPL_API void ImGui_ImplMetal_NewFrame(MTL::RenderPassDescriptor* renderPassDescriptor);
IMGUI_IMPL_API void ImGui_ImplMetal_RenderDrawData(ImDrawData* draw_data,
MTL::CommandBuffer* commandBuffer,
MTL::RenderCommandEncoder* commandEncoder);
// Called by Init/NewFrame/Shutdown
IMGUI_IMPL_API bool ImGui_ImplMetal_CreateFontsTexture(MTL::Device* device);
IMGUI_IMPL_API void ImGui_ImplMetal_DestroyFontsTexture();
IMGUI_IMPL_API bool ImGui_ImplMetal_CreateDeviceObjects(MTL::Device* device);
IMGUI_IMPL_API void ImGui_ImplMetal_DestroyDeviceObjects();
#endif
#endif
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_glut.h | // dear imgui: Platform Backend for GLUT/FreeGLUT
// This needs to be used along with a Renderer (e.g. OpenGL2)
// !!! GLUT/FreeGLUT IS OBSOLETE PREHISTORIC SOFTWARE. Using GLUT is not recommended unless you really miss the 90's. !!!
// !!! If someone or something is teaching you GLUT today, you are being abused. Please show some resistance. !!!
// !!! Nowadays, prefer using GLFW or SDL instead!
// Implemented features:
// [X] Platform: Partial keyboard support. Since 1.87 we are using the io.AddKeyEvent() function. Pass ImGuiKey values to all key functions e.g. ImGui::IsKeyPressed(ImGuiKey_Space). [Legacy GLUT values will also be supported unless IMGUI_DISABLE_OBSOLETE_KEYIO is set]
// Issues:
// [ ] Platform: GLUT is unable to distinguish e.g. Backspace from CTRL+H or TAB from CTRL+I
// [ ] Platform: Missing horizontal mouse wheel support.
// [ ] Platform: Missing mouse cursor shape/visibility support.
// [ ] Platform: Missing clipboard support (not supported by Glut).
// [ ] Platform: Missing gamepad support.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
IMGUI_IMPL_API bool ImGui_ImplGLUT_Init();
IMGUI_IMPL_API void ImGui_ImplGLUT_InstallFuncs();
IMGUI_IMPL_API void ImGui_ImplGLUT_Shutdown();
IMGUI_IMPL_API void ImGui_ImplGLUT_NewFrame();
// You can call ImGui_ImplGLUT_InstallFuncs() to get all those functions installed automatically,
// or call them yourself from your own GLUT handlers. We are using the same weird names as GLUT for consistency..
//---------------------------------------- GLUT name --------------------------------------------- Decent Name ---------
IMGUI_IMPL_API void ImGui_ImplGLUT_ReshapeFunc(int w, int h); // ~ ResizeFunc
IMGUI_IMPL_API void ImGui_ImplGLUT_MotionFunc(int x, int y); // ~ MouseMoveFunc
IMGUI_IMPL_API void ImGui_ImplGLUT_MouseFunc(int button, int state, int x, int y); // ~ MouseButtonFunc
IMGUI_IMPL_API void ImGui_ImplGLUT_MouseWheelFunc(int button, int dir, int x, int y); // ~ MouseWheelFunc
IMGUI_IMPL_API void ImGui_ImplGLUT_KeyboardFunc(unsigned char c, int x, int y); // ~ CharPressedFunc
IMGUI_IMPL_API void ImGui_ImplGLUT_KeyboardUpFunc(unsigned char c, int x, int y); // ~ CharReleasedFunc
IMGUI_IMPL_API void ImGui_ImplGLUT_SpecialFunc(int key, int x, int y); // ~ KeyPressedFunc
IMGUI_IMPL_API void ImGui_ImplGLUT_SpecialUpFunc(int key, int x, int y); // ~ KeyReleasedFunc
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_glfw.h | // dear imgui: Platform Backend for GLFW
// This needs to be used along with a Renderer (e.g. OpenGL3, Vulkan, WebGPU..)
// (Info: GLFW is a cross-platform general purpose library for handling windows, inputs, OpenGL/Vulkan graphics context creation, etc.)
// (Requires: GLFW 3.1+. Prefer GLFW 3.3+ for full feature support.)
// Implemented features:
// [X] Platform: Clipboard support.
// [X] Platform: Mouse support. Can discriminate Mouse/TouchScreen/Pen (Windows only).
// [X] Platform: Keyboard support. Since 1.87 we are using the io.AddKeyEvent() function. Pass ImGuiKey values to all key functions e.g. ImGui::IsKeyPressed(ImGuiKey_Space). [Legacy GLFW_KEY_* values will also be supported unless IMGUI_DISABLE_OBSOLETE_KEYIO is set]
// [X] Platform: Gamepad support. Enable with 'io.ConfigFlags |= ImGuiConfigFlags_NavEnableGamepad'.
// [x] Platform: Mouse cursor shape and visibility. Disable with 'io.ConfigFlags |= ImGuiConfigFlags_NoMouseCursorChange' (note: the resizing cursors requires GLFW 3.4+).
// [X] Platform: Multi-viewport support (multiple windows). Enable with 'io.ConfigFlags |= ImGuiConfigFlags_ViewportsEnable'.
// Issues:
// [ ] Platform: Multi-viewport support: ParentViewportID not honored, and so io.ConfigViewportsNoDefaultParent has no effect (minor).
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
struct GLFWwindow;
struct GLFWmonitor;
IMGUI_IMPL_API bool ImGui_ImplGlfw_InitForOpenGL(GLFWwindow* window, bool install_callbacks);
IMGUI_IMPL_API bool ImGui_ImplGlfw_InitForVulkan(GLFWwindow* window, bool install_callbacks);
IMGUI_IMPL_API bool ImGui_ImplGlfw_InitForOther(GLFWwindow* window, bool install_callbacks);
IMGUI_IMPL_API void ImGui_ImplGlfw_Shutdown();
IMGUI_IMPL_API void ImGui_ImplGlfw_NewFrame();
// GLFW callbacks install
// - When calling Init with 'install_callbacks=true': ImGui_ImplGlfw_InstallCallbacks() is called. GLFW callbacks will be installed for you. They will chain-call user's previously installed callbacks, if any.
// - When calling Init with 'install_callbacks=false': GLFW callbacks won't be installed. You will need to call individual function yourself from your own GLFW callbacks.
IMGUI_IMPL_API void ImGui_ImplGlfw_InstallCallbacks(GLFWwindow* window);
IMGUI_IMPL_API void ImGui_ImplGlfw_RestoreCallbacks(GLFWwindow* window);
// GFLW callbacks options:
// - Set 'chain_for_all_windows=true' to enable chaining callbacks for all windows (including secondary viewports created by backends or by user)
IMGUI_IMPL_API void ImGui_ImplGlfw_SetCallbacksChainForAllWindows(bool chain_for_all_windows);
// GLFW callbacks (individual callbacks to call yourself if you didn't install callbacks)
IMGUI_IMPL_API void ImGui_ImplGlfw_WindowFocusCallback(GLFWwindow* window, int focused); // Since 1.84
IMGUI_IMPL_API void ImGui_ImplGlfw_CursorEnterCallback(GLFWwindow* window, int entered); // Since 1.84
IMGUI_IMPL_API void ImGui_ImplGlfw_CursorPosCallback(GLFWwindow* window, double x, double y); // Since 1.87
IMGUI_IMPL_API void ImGui_ImplGlfw_MouseButtonCallback(GLFWwindow* window, int button, int action, int mods);
IMGUI_IMPL_API void ImGui_ImplGlfw_ScrollCallback(GLFWwindow* window, double xoffset, double yoffset);
IMGUI_IMPL_API void ImGui_ImplGlfw_KeyCallback(GLFWwindow* window, int key, int scancode, int action, int mods);
IMGUI_IMPL_API void ImGui_ImplGlfw_CharCallback(GLFWwindow* window, unsigned int c);
IMGUI_IMPL_API void ImGui_ImplGlfw_MonitorCallback(GLFWmonitor* monitor, int event);
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_opengl3.h | // dear imgui: Renderer Backend for modern OpenGL with shaders / programmatic pipeline
// - Desktop GL: 2.x 3.x 4.x
// - Embedded GL: ES 2.0 (WebGL 1.0), ES 3.0 (WebGL 2.0)
// This needs to be used along with a Platform Backend (e.g. GLFW, SDL, Win32, custom..)
// Implemented features:
// [X] Renderer: User texture binding. Use 'GLuint' OpenGL texture identifier as void*/ImTextureID. Read the FAQ about ImTextureID!
// [X] Renderer: Large meshes support (64k+ vertices) with 16-bit indices (Desktop OpenGL only).
// [X] Renderer: Multi-viewport support (multiple windows). Enable with 'io.ConfigFlags |= ImGuiConfigFlags_ViewportsEnable'.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
// About GLSL version:
// The 'glsl_version' initialization parameter should be nullptr (default) or a "#version XXX" string.
// On computer platform the GLSL version default to "#version 130". On OpenGL ES 3 platform it defaults to "#version 300 es"
// Only override if your GL version doesn't handle this GLSL version. See GLSL version table at the top of imgui_impl_opengl3.cpp.
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
// Backend API
IMGUI_IMPL_API bool ImGui_ImplOpenGL3_Init(const char* glsl_version = nullptr);
IMGUI_IMPL_API void ImGui_ImplOpenGL3_Shutdown();
IMGUI_IMPL_API void ImGui_ImplOpenGL3_NewFrame();
IMGUI_IMPL_API void ImGui_ImplOpenGL3_RenderDrawData(ImDrawData* draw_data);
// (Optional) Called by Init/NewFrame/Shutdown
IMGUI_IMPL_API bool ImGui_ImplOpenGL3_CreateFontsTexture();
IMGUI_IMPL_API void ImGui_ImplOpenGL3_DestroyFontsTexture();
IMGUI_IMPL_API bool ImGui_ImplOpenGL3_CreateDeviceObjects();
IMGUI_IMPL_API void ImGui_ImplOpenGL3_DestroyDeviceObjects();
// Specific OpenGL ES versions
//#define IMGUI_IMPL_OPENGL_ES2 // Auto-detected on Emscripten
//#define IMGUI_IMPL_OPENGL_ES3 // Auto-detected on iOS/Android
// You can explicitly select GLES2 or GLES3 API by using one of the '#define IMGUI_IMPL_OPENGL_LOADER_XXX' in imconfig.h or compiler command-line.
#if !defined(IMGUI_IMPL_OPENGL_ES2) \
&& !defined(IMGUI_IMPL_OPENGL_ES3)
// Try to detect GLES on matching platforms
#if defined(__APPLE__)
#include <TargetConditionals.h>
#endif
#if (defined(__APPLE__) && (TARGET_OS_IOS || TARGET_OS_TV)) || (defined(__ANDROID__))
#define IMGUI_IMPL_OPENGL_ES3 // iOS, Android -> GL ES 3, "#version 300 es"
#elif defined(__EMSCRIPTEN__) || defined(__amigaos4__)
#define IMGUI_IMPL_OPENGL_ES2 // Emscripten -> GL ES 2, "#version 100"
#else
// Otherwise imgui_impl_opengl3_loader.h will be used.
#endif
#endif
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_vulkan.h | // dear imgui: Renderer Backend for Vulkan
// This needs to be used along with a Platform Backend (e.g. GLFW, SDL, Win32, custom..)
// Implemented features:
// [x] Renderer: User texture binding. Use 'VkDescriptorSet' as ImTextureID. Read the FAQ about ImTextureID! See https://github.com/ocornut/imgui/pull/914 for discussions.
// [X] Renderer: Large meshes support (64k+ vertices) with 16-bit indices.
// [x] Renderer: Multi-viewport / platform windows. With issues (flickering when creating a new viewport).
// Important: on 32-bit systems, user texture binding is only supported if your imconfig file has '#define ImTextureID ImU64'.
// See imgui_impl_vulkan.cpp file for details.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
// The aim of imgui_impl_vulkan.h/.cpp is to be usable in your engine without any modification.
// IF YOU FEEL YOU NEED TO MAKE ANY CHANGE TO THIS CODE, please share them and your feedback at https://github.com/ocornut/imgui/
// Important note to the reader who wish to integrate imgui_impl_vulkan.cpp/.h in their own engine/app.
// - Common ImGui_ImplVulkan_XXX functions and structures are used to interface with imgui_impl_vulkan.cpp/.h.
// You will use those if you want to use this rendering backend in your engine/app.
// - Helper ImGui_ImplVulkanH_XXX functions and structures are only used by this example (main.cpp) and by
// the backend itself (imgui_impl_vulkan.cpp), but should PROBABLY NOT be used by your own engine/app code.
// Read comments in imgui_impl_vulkan.h.
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
// [Configuration] in order to use a custom Vulkan function loader:
// (1) You'll need to disable default Vulkan function prototypes.
// We provide a '#define IMGUI_IMPL_VULKAN_NO_PROTOTYPES' convenience configuration flag.
// In order to make sure this is visible from the imgui_impl_vulkan.cpp compilation unit:
// - Add '#define IMGUI_IMPL_VULKAN_NO_PROTOTYPES' in your imconfig.h file
// - Or as a compilation flag in your build system
// - Or uncomment here (not recommended because you'd be modifying imgui sources!)
// - Do not simply add it in a .cpp file!
// (2) Call ImGui_ImplVulkan_LoadFunctions() before ImGui_ImplVulkan_Init() with your custom function.
// If you have no idea what this is, leave it alone!
//#define IMGUI_IMPL_VULKAN_NO_PROTOTYPES
// Vulkan includes
#if defined(IMGUI_IMPL_VULKAN_NO_PROTOTYPES) && !defined(VK_NO_PROTOTYPES)
#define VK_NO_PROTOTYPES
#endif
#include <vulkan/vulkan.h>
// Initialization data, for ImGui_ImplVulkan_Init()
// [Please zero-clear before use!]
struct ImGui_ImplVulkan_InitInfo
{
VkInstance Instance;
VkPhysicalDevice PhysicalDevice;
VkDevice Device;
uint32_t QueueFamily;
VkQueue Queue;
VkPipelineCache PipelineCache;
VkDescriptorPool DescriptorPool;
uint32_t Subpass;
uint32_t MinImageCount; // >= 2
uint32_t ImageCount; // >= MinImageCount
VkSampleCountFlagBits MSAASamples; // >= VK_SAMPLE_COUNT_1_BIT (0 -> default to VK_SAMPLE_COUNT_1_BIT)
const VkAllocationCallbacks* Allocator;
void (*CheckVkResultFn)(VkResult err);
};
// Called by user code
IMGUI_IMPL_API bool ImGui_ImplVulkan_Init(ImGui_ImplVulkan_InitInfo* info, VkRenderPass render_pass);
IMGUI_IMPL_API void ImGui_ImplVulkan_Shutdown();
IMGUI_IMPL_API void ImGui_ImplVulkan_NewFrame();
IMGUI_IMPL_API void ImGui_ImplVulkan_RenderDrawData(ImDrawData* draw_data, VkCommandBuffer command_buffer, VkPipeline pipeline = VK_NULL_HANDLE);
IMGUI_IMPL_API bool ImGui_ImplVulkan_CreateFontsTexture(VkCommandBuffer command_buffer);
IMGUI_IMPL_API void ImGui_ImplVulkan_DestroyFontUploadObjects();
IMGUI_IMPL_API void ImGui_ImplVulkan_SetMinImageCount(uint32_t min_image_count); // To override MinImageCount after initialization (e.g. if swap chain is recreated)
// Register a texture (VkDescriptorSet == ImTextureID)
// FIXME: This is experimental in the sense that we are unsure how to best design/tackle this problem
// Please post to https://github.com/ocornut/imgui/pull/914 if you have suggestions.
IMGUI_IMPL_API VkDescriptorSet ImGui_ImplVulkan_AddTexture(VkSampler sampler, VkImageView image_view, VkImageLayout image_layout);
IMGUI_IMPL_API void ImGui_ImplVulkan_RemoveTexture(VkDescriptorSet descriptor_set);
// Optional: load Vulkan functions with a custom function loader
// This is only useful with IMGUI_IMPL_VULKAN_NO_PROTOTYPES / VK_NO_PROTOTYPES
IMGUI_IMPL_API bool ImGui_ImplVulkan_LoadFunctions(PFN_vkVoidFunction(*loader_func)(const char* function_name, void* user_data), void* user_data = nullptr);
//-------------------------------------------------------------------------
// Internal / Miscellaneous Vulkan Helpers
// (Used by example's main.cpp. Used by multi-viewport features. PROBABLY NOT used by your own engine/app.)
//-------------------------------------------------------------------------
// You probably do NOT need to use or care about those functions.
// Those functions only exist because:
// 1) they facilitate the readability and maintenance of the multiple main.cpp examples files.
// 2) the multi-viewport / platform window implementation needs them internally.
// Generally we avoid exposing any kind of superfluous high-level helpers in the bindings,
// but it is too much code to duplicate everywhere so we exceptionally expose them.
//
// Your engine/app will likely _already_ have code to setup all that stuff (swap chain, render pass, frame buffers, etc.).
// You may read this code to learn about Vulkan, but it is recommended you use you own custom tailored code to do equivalent work.
// (The ImGui_ImplVulkanH_XXX functions do not interact with any of the state used by the regular ImGui_ImplVulkan_XXX functions)
//-------------------------------------------------------------------------
struct ImGui_ImplVulkanH_Frame;
struct ImGui_ImplVulkanH_Window;
// Helpers
IMGUI_IMPL_API void ImGui_ImplVulkanH_CreateOrResizeWindow(VkInstance instance, VkPhysicalDevice physical_device, VkDevice device, ImGui_ImplVulkanH_Window* wnd, uint32_t queue_family, const VkAllocationCallbacks* allocator, int w, int h, uint32_t min_image_count);
IMGUI_IMPL_API void ImGui_ImplVulkanH_DestroyWindow(VkInstance instance, VkDevice device, ImGui_ImplVulkanH_Window* wnd, const VkAllocationCallbacks* allocator);
IMGUI_IMPL_API VkSurfaceFormatKHR ImGui_ImplVulkanH_SelectSurfaceFormat(VkPhysicalDevice physical_device, VkSurfaceKHR surface, const VkFormat* request_formats, int request_formats_count, VkColorSpaceKHR request_color_space);
IMGUI_IMPL_API VkPresentModeKHR ImGui_ImplVulkanH_SelectPresentMode(VkPhysicalDevice physical_device, VkSurfaceKHR surface, const VkPresentModeKHR* request_modes, int request_modes_count);
IMGUI_IMPL_API int ImGui_ImplVulkanH_GetMinImageCountFromPresentMode(VkPresentModeKHR present_mode);
// Helper structure to hold the data needed by one rendering frame
// (Used by example's main.cpp. Used by multi-viewport features. Probably NOT used by your own engine/app.)
// [Please zero-clear before use!]
struct ImGui_ImplVulkanH_Frame
{
VkCommandPool CommandPool;
VkCommandBuffer CommandBuffer;
VkFence Fence;
VkImage Backbuffer;
VkImageView BackbufferView;
VkFramebuffer Framebuffer;
};
struct ImGui_ImplVulkanH_FrameSemaphores
{
VkSemaphore ImageAcquiredSemaphore;
VkSemaphore RenderCompleteSemaphore;
};
// Helper structure to hold the data needed by one rendering context into one OS window
// (Used by example's main.cpp. Used by multi-viewport features. Probably NOT used by your own engine/app.)
struct ImGui_ImplVulkanH_Window
{
int Width;
int Height;
VkSwapchainKHR Swapchain;
VkSurfaceKHR Surface;
VkSurfaceFormatKHR SurfaceFormat;
VkPresentModeKHR PresentMode;
VkRenderPass RenderPass;
VkPipeline Pipeline; // The window pipeline may uses a different VkRenderPass than the one passed in ImGui_ImplVulkan_InitInfo
bool ClearEnable;
VkClearValue ClearValue;
uint32_t FrameIndex; // Current frame being rendered to (0 <= FrameIndex < FrameInFlightCount)
uint32_t ImageCount; // Number of simultaneous in-flight frames (returned by vkGetSwapchainImagesKHR, usually derived from min_image_count)
uint32_t SemaphoreIndex; // Current set of swapchain wait semaphores we're using (needs to be distinct from per frame data)
ImGui_ImplVulkanH_Frame* Frames;
ImGui_ImplVulkanH_FrameSemaphores* FrameSemaphores;
ImGui_ImplVulkanH_Window()
{
memset((void*)this, 0, sizeof(*this));
PresentMode = (VkPresentModeKHR)~0; // Ensure we get an error if user doesn't set this.
ClearEnable = true;
}
};
|
0 | repos/c2z/use_cases/imgui/include | repos/c2z/use_cases/imgui/include/backends/imgui_impl_dx9.h | // dear imgui: Renderer Backend for DirectX9
// This needs to be used along with a Platform Backend (e.g. Win32)
// Implemented features:
// [X] Renderer: User texture binding. Use 'LPDIRECT3DTEXTURE9' as ImTextureID. Read the FAQ about ImTextureID!
// [X] Renderer: Large meshes support (64k+ vertices) with 16-bit indices.
// [X] Renderer: Multi-viewport support (multiple windows). Enable with 'io.ConfigFlags |= ImGuiConfigFlags_ViewportsEnable'.
// You can use unmodified imgui_impl_* files in your project. See examples/ folder for examples of using this.
// Prefer including the entire imgui/ repository into your project (either as a copy or as a submodule), and only build the backends you need.
// If you are new to Dear ImGui, read documentation from the docs/ folder + read the top of imgui.cpp.
// Read online: https://github.com/ocornut/imgui/tree/master/docs
#pragma once
#include "imgui.h" // IMGUI_IMPL_API
struct IDirect3DDevice9;
IMGUI_IMPL_API bool ImGui_ImplDX9_Init(IDirect3DDevice9* device);
IMGUI_IMPL_API void ImGui_ImplDX9_Shutdown();
IMGUI_IMPL_API void ImGui_ImplDX9_NewFrame();
IMGUI_IMPL_API void ImGui_ImplDX9_RenderDrawData(ImDrawData* draw_data);
// Use if you want to reset your rendering device without losing Dear ImGui state.
IMGUI_IMPL_API bool ImGui_ImplDX9_CreateDeviceObjects();
IMGUI_IMPL_API void ImGui_ImplDX9_InvalidateDeviceObjects();
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_chain_shape.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_CHAIN_SHAPE_H
#define B2_CHAIN_SHAPE_H
#include "b2_api.h"
#include "b2_shape.h"
class b2EdgeShape;
/// A chain shape is a free form sequence of line segments.
/// The chain has one-sided collision, with the surface normal pointing to the right of the edge.
/// This provides a counter-clockwise winding like the polygon shape.
/// Connectivity information is used to create smooth collisions.
/// @warning the chain will not collide properly if there are self-intersections.
class B2_API b2ChainShape : public b2Shape
{
public:
b2ChainShape();
/// The destructor frees the vertices using b2Free.
~b2ChainShape();
/// Clear all data.
void Clear();
/// Create a loop. This automatically adjusts connectivity.
/// @param vertices an array of vertices, these are copied
/// @param count the vertex count
void CreateLoop(const b2Vec2* vertices, int32 count);
/// Create a chain with ghost vertices to connect multiple chains together.
/// @param vertices an array of vertices, these are copied
/// @param count the vertex count
/// @param prevVertex previous vertex from chain that connects to the start
/// @param nextVertex next vertex from chain that connects to the end
void CreateChain(const b2Vec2* vertices, int32 count,
const b2Vec2& prevVertex, const b2Vec2& nextVertex);
/// Implement b2Shape. Vertices are cloned using b2Alloc.
b2Shape* Clone(b2BlockAllocator* allocator) const override;
/// @see b2Shape::GetChildCount
int32 GetChildCount() const override;
/// Get a child edge.
void GetChildEdge(b2EdgeShape* edge, int32 index) const;
/// This always return false.
/// @see b2Shape::TestPoint
bool TestPoint(const b2Transform& transform, const b2Vec2& p) const override;
/// Implement b2Shape.
bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& transform, int32 childIndex) const override;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, int32 childIndex) const override;
/// Chains have zero mass.
/// @see b2Shape::ComputeMass
void ComputeMass(b2MassData* massData, float density) const override;
/// The vertices. Owned by this class.
b2Vec2* m_vertices;
/// The vertex count.
int32 m_count;
b2Vec2 m_prevVertex, m_nextVertex;
};
inline b2ChainShape::b2ChainShape()
{
m_type = e_chain;
m_radius = b2_polygonRadius;
m_vertices = nullptr;
m_count = 0;
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_fixture.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_FIXTURE_H
#define B2_FIXTURE_H
#include "b2_api.h"
#include "b2_body.h"
#include "b2_collision.h"
#include "b2_shape.h"
class b2BlockAllocator;
class b2Body;
class b2BroadPhase;
class b2Fixture;
/// This holds contact filtering data.
struct B2_API b2Filter
{
b2Filter()
{
categoryBits = 0x0001;
maskBits = 0xFFFF;
groupIndex = 0;
}
/// The collision category bits. Normally you would just set one bit.
uint16 categoryBits;
/// The collision mask bits. This states the categories that this
/// shape would accept for collision.
uint16 maskBits;
/// Collision groups allow a certain group of objects to never collide (negative)
/// or always collide (positive). Zero means no collision group. Non-zero group
/// filtering always wins against the mask bits.
int16 groupIndex;
};
/// A fixture definition is used to create a fixture. This class defines an
/// abstract fixture definition. You can reuse fixture definitions safely.
struct B2_API b2FixtureDef
{
/// The constructor sets the default fixture definition values.
b2FixtureDef()
{
shape = nullptr;
friction = 0.2f;
restitution = 0.0f;
restitutionThreshold = 1.0f * b2_lengthUnitsPerMeter;
density = 0.0f;
isSensor = false;
}
/// The shape, this must be set. The shape will be cloned, so you
/// can create the shape on the stack.
const b2Shape* shape;
/// Use this to store application specific fixture data.
b2FixtureUserData userData;
/// The friction coefficient, usually in the range [0,1].
float friction;
/// The restitution (elasticity) usually in the range [0,1].
float restitution;
/// Restitution velocity threshold, usually in m/s. Collisions above this
/// speed have restitution applied (will bounce).
float restitutionThreshold;
/// The density, usually in kg/m^2.
float density;
/// A sensor shape collects contact information but never generates a collision
/// response.
bool isSensor;
/// Contact filtering data.
b2Filter filter;
};
/// This proxy is used internally to connect fixtures to the broad-phase.
struct B2_API b2FixtureProxy
{
b2AABB aabb;
b2Fixture* fixture;
int32 childIndex;
int32 proxyId;
};
/// A fixture is used to attach a shape to a body for collision detection. A fixture
/// inherits its transform from its parent. Fixtures hold additional non-geometric data
/// such as friction, collision filters, etc.
/// Fixtures are created via b2Body::CreateFixture.
/// @warning you cannot reuse fixtures.
class B2_API b2Fixture
{
public:
/// Get the type of the child shape. You can use this to down cast to the concrete shape.
/// @return the shape type.
b2Shape::Type GetType() const;
/// Get the child shape. You can modify the child shape, however you should not change the
/// number of vertices because this will crash some collision caching mechanisms.
/// Manipulating the shape may lead to non-physical behavior.
b2Shape* GetShape();
const b2Shape* GetShape() const;
/// Set if this fixture is a sensor.
void SetSensor(bool sensor);
/// Is this fixture a sensor (non-solid)?
/// @return the true if the shape is a sensor.
bool IsSensor() const;
/// Set the contact filtering data. This will not update contacts until the next time
/// step when either parent body is active and awake.
/// This automatically calls Refilter.
void SetFilterData(const b2Filter& filter);
/// Get the contact filtering data.
const b2Filter& GetFilterData() const;
/// Call this if you want to establish collision that was previously disabled by b2ContactFilter::ShouldCollide.
void Refilter();
/// Get the parent body of this fixture. This is nullptr if the fixture is not attached.
/// @return the parent body.
b2Body* GetBody();
const b2Body* GetBody() const;
/// Get the next fixture in the parent body's fixture list.
/// @return the next shape.
b2Fixture* GetNext();
const b2Fixture* GetNext() const;
/// Get the user data that was assigned in the fixture definition. Use this to
/// store your application specific data.
b2FixtureUserData& GetUserData();
const b2FixtureUserData& GetUserData() const;
/// Test a point for containment in this fixture.
/// @param p a point in world coordinates.
bool TestPoint(const b2Vec2& p) const;
/// Cast a ray against this shape.
/// @param output the ray-cast results.
/// @param input the ray-cast input parameters.
/// @param childIndex the child shape index (e.g. edge index)
bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input, int32 childIndex) const;
/// Get the mass data for this fixture. The mass data is based on the density and
/// the shape. The rotational inertia is about the shape's origin. This operation
/// may be expensive.
void GetMassData(b2MassData* massData) const;
/// Set the density of this fixture. This will _not_ automatically adjust the mass
/// of the body. You must call b2Body::ResetMassData to update the body's mass.
void SetDensity(float density);
/// Get the density of this fixture.
float GetDensity() const;
/// Get the coefficient of friction.
float GetFriction() const;
/// Set the coefficient of friction. This will _not_ change the friction of
/// existing contacts.
void SetFriction(float friction);
/// Get the coefficient of restitution.
float GetRestitution() const;
/// Set the coefficient of restitution. This will _not_ change the restitution of
/// existing contacts.
void SetRestitution(float restitution);
/// Get the restitution velocity threshold.
float GetRestitutionThreshold() const;
/// Set the restitution threshold. This will _not_ change the restitution threshold of
/// existing contacts.
void SetRestitutionThreshold(float threshold);
/// Get the fixture's AABB. This AABB may be enlarge and/or stale.
/// If you need a more accurate AABB, compute it using the shape and
/// the body transform.
const b2AABB& GetAABB(int32 childIndex) const;
/// Dump this fixture to the log file.
void Dump(int32 bodyIndex);
protected:
friend class b2Body;
friend class b2World;
friend class b2Contact;
friend class b2ContactManager;
b2Fixture();
// We need separation create/destroy functions from the constructor/destructor because
// the destructor cannot access the allocator (no destructor arguments allowed by C++).
void Create(b2BlockAllocator* allocator, b2Body* body, const b2FixtureDef* def);
void Destroy(b2BlockAllocator* allocator);
// These support body activation/deactivation.
void CreateProxies(b2BroadPhase* broadPhase, const b2Transform& xf);
void DestroyProxies(b2BroadPhase* broadPhase);
void Synchronize(b2BroadPhase* broadPhase, const b2Transform& xf1, const b2Transform& xf2);
float m_density;
b2Fixture* m_next;
b2Body* m_body;
b2Shape* m_shape;
float m_friction;
float m_restitution;
float m_restitutionThreshold;
b2FixtureProxy* m_proxies;
int32 m_proxyCount;
b2Filter m_filter;
bool m_isSensor;
b2FixtureUserData m_userData;
};
inline b2Shape::Type b2Fixture::GetType() const
{
return m_shape->GetType();
}
inline b2Shape* b2Fixture::GetShape()
{
return m_shape;
}
inline const b2Shape* b2Fixture::GetShape() const
{
return m_shape;
}
inline bool b2Fixture::IsSensor() const
{
return m_isSensor;
}
inline const b2Filter& b2Fixture::GetFilterData() const
{
return m_filter;
}
inline b2FixtureUserData& b2Fixture::GetUserData()
{
return m_userData;
}
inline const b2FixtureUserData& b2Fixture::GetUserData() const
{
return m_userData;
}
inline b2Body* b2Fixture::GetBody()
{
return m_body;
}
inline const b2Body* b2Fixture::GetBody() const
{
return m_body;
}
inline b2Fixture* b2Fixture::GetNext()
{
return m_next;
}
inline const b2Fixture* b2Fixture::GetNext() const
{
return m_next;
}
inline void b2Fixture::SetDensity(float density)
{
b2Assert(b2IsValid(density) && density >= 0.0f);
m_density = density;
}
inline float b2Fixture::GetDensity() const
{
return m_density;
}
inline float b2Fixture::GetFriction() const
{
return m_friction;
}
inline void b2Fixture::SetFriction(float friction)
{
m_friction = friction;
}
inline float b2Fixture::GetRestitution() const
{
return m_restitution;
}
inline void b2Fixture::SetRestitution(float restitution)
{
m_restitution = restitution;
}
inline float b2Fixture::GetRestitutionThreshold() const
{
return m_restitutionThreshold;
}
inline void b2Fixture::SetRestitutionThreshold(float threshold)
{
m_restitutionThreshold = threshold;
}
inline bool b2Fixture::TestPoint(const b2Vec2& p) const
{
return m_shape->TestPoint(m_body->GetTransform(), p);
}
inline bool b2Fixture::RayCast(b2RayCastOutput* output, const b2RayCastInput& input, int32 childIndex) const
{
return m_shape->RayCast(output, input, m_body->GetTransform(), childIndex);
}
inline void b2Fixture::GetMassData(b2MassData* massData) const
{
m_shape->ComputeMass(massData, m_density);
}
inline const b2AABB& b2Fixture::GetAABB(int32 childIndex) const
{
b2Assert(0 <= childIndex && childIndex < m_proxyCount);
return m_proxies[childIndex].aabb;
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_common.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_COMMON_H
#define B2_COMMON_H
#include "b2_settings.h"
#include <stddef.h>
#include <assert.h>
#include <float.h>
#if !defined(NDEBUG)
#define b2DEBUG
#endif
#define B2_NOT_USED(x) ((void)(x))
#define b2Assert(A) assert(A)
#define b2_maxFloat FLT_MAX
#define b2_epsilon FLT_EPSILON
#define b2_pi 3.14159265359f
/// @file
/// Global tuning constants based on meters-kilograms-seconds (MKS) units.
///
// Collision
/// The maximum number of contact points between two convex shapes. Do
/// not change this value.
#define b2_maxManifoldPoints 2
/// This is used to fatten AABBs in the dynamic tree. This allows proxies
/// to move by a small amount without triggering a tree adjustment.
/// This is in meters.
#define b2_aabbExtension (0.1f * b2_lengthUnitsPerMeter)
/// This is used to fatten AABBs in the dynamic tree. This is used to predict
/// the future position based on the current displacement.
/// This is a dimensionless multiplier.
#define b2_aabbMultiplier 4.0f
/// A small length used as a collision and constraint tolerance. Usually it is
/// chosen to be numerically significant, but visually insignificant. In meters.
#define b2_linearSlop (0.005f * b2_lengthUnitsPerMeter)
/// A small angle used as a collision and constraint tolerance. Usually it is
/// chosen to be numerically significant, but visually insignificant.
#define b2_angularSlop (2.0f / 180.0f * b2_pi)
/// The radius of the polygon/edge shape skin. This should not be modified. Making
/// this smaller means polygons will have an insufficient buffer for continuous collision.
/// Making it larger may create artifacts for vertex collision.
#define b2_polygonRadius (2.0f * b2_linearSlop)
/// Maximum number of sub-steps per contact in continuous physics simulation.
#define b2_maxSubSteps 8
// Dynamics
/// Maximum number of contacts to be handled to solve a TOI impact.
#define b2_maxTOIContacts 32
/// The maximum linear position correction used when solving constraints. This helps to
/// prevent overshoot. Meters.
#define b2_maxLinearCorrection (0.2f * b2_lengthUnitsPerMeter)
/// The maximum angular position correction used when solving constraints. This helps to
/// prevent overshoot.
#define b2_maxAngularCorrection (8.0f / 180.0f * b2_pi)
/// The maximum linear translation of a body per step. This limit is very large and is used
/// to prevent numerical problems. You shouldn't need to adjust this. Meters.
#define b2_maxTranslation (2.0f * b2_lengthUnitsPerMeter)
#define b2_maxTranslationSquared (b2_maxTranslation * b2_maxTranslation)
/// The maximum angular velocity of a body. This limit is very large and is used
/// to prevent numerical problems. You shouldn't need to adjust this.
#define b2_maxRotation (0.5f * b2_pi)
#define b2_maxRotationSquared (b2_maxRotation * b2_maxRotation)
/// This scale factor controls how fast overlap is resolved. Ideally this would be 1 so
/// that overlap is removed in one time step. However using values close to 1 often lead
/// to overshoot.
#define b2_baumgarte 0.2f
#define b2_toiBaumgarte 0.75f
// Sleep
/// The time that a body must be still before it will go to sleep.
#define b2_timeToSleep 0.5f
/// A body cannot sleep if its linear velocity is above this tolerance.
#define b2_linearSleepTolerance (0.01f * b2_lengthUnitsPerMeter)
/// A body cannot sleep if its angular velocity is above this tolerance.
#define b2_angularSleepTolerance (2.0f / 180.0f * b2_pi)
/// Dump to a file. Only one dump file allowed at a time.
void b2OpenDump(const char* fileName);
void b2Dump(const char* string, ...);
void b2CloseDump();
/// Version numbering scheme.
/// See http://en.wikipedia.org/wiki/Software_versioning
struct b2Version
{
int32 major; ///< significant changes
int32 minor; ///< incremental changes
int32 revision; ///< bug fixes
};
/// Current version.
extern B2_API b2Version b2_version;
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_contact_manager.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_CONTACT_MANAGER_H
#define B2_CONTACT_MANAGER_H
#include "b2_api.h"
#include "b2_broad_phase.h"
class b2Contact;
class b2ContactFilter;
class b2ContactListener;
class b2BlockAllocator;
// Delegate of b2World.
class B2_API b2ContactManager
{
public:
b2ContactManager();
// Broad-phase callback.
void AddPair(void* proxyUserDataA, void* proxyUserDataB);
void FindNewContacts();
void Destroy(b2Contact* c);
void Collide();
b2BroadPhase m_broadPhase;
b2Contact* m_contactList;
int32 m_contactCount;
b2ContactFilter* m_contactFilter;
b2ContactListener* m_contactListener;
b2BlockAllocator* m_allocator;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_pulley_joint.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_PULLEY_JOINT_H
#define B2_PULLEY_JOINT_H
#include "b2_api.h"
#include "b2_joint.h"
const float b2_minPulleyLength = 2.0f;
/// Pulley joint definition. This requires two ground anchors,
/// two dynamic body anchor points, and a pulley ratio.
struct B2_API b2PulleyJointDef : public b2JointDef
{
b2PulleyJointDef()
{
type = e_pulleyJoint;
groundAnchorA.Set(-1.0f, 1.0f);
groundAnchorB.Set(1.0f, 1.0f);
localAnchorA.Set(-1.0f, 0.0f);
localAnchorB.Set(1.0f, 0.0f);
lengthA = 0.0f;
lengthB = 0.0f;
ratio = 1.0f;
collideConnected = true;
}
/// Initialize the bodies, anchors, lengths, max lengths, and ratio using the world anchors.
void Initialize(b2Body* bodyA, b2Body* bodyB,
const b2Vec2& groundAnchorA, const b2Vec2& groundAnchorB,
const b2Vec2& anchorA, const b2Vec2& anchorB,
float ratio);
/// The first ground anchor in world coordinates. This point never moves.
b2Vec2 groundAnchorA;
/// The second ground anchor in world coordinates. This point never moves.
b2Vec2 groundAnchorB;
/// The local anchor point relative to bodyA's origin.
b2Vec2 localAnchorA;
/// The local anchor point relative to bodyB's origin.
b2Vec2 localAnchorB;
/// The a reference length for the segment attached to bodyA.
float lengthA;
/// The a reference length for the segment attached to bodyB.
float lengthB;
/// The pulley ratio, used to simulate a block-and-tackle.
float ratio;
};
/// The pulley joint is connected to two bodies and two fixed ground points.
/// The pulley supports a ratio such that:
/// length1 + ratio * length2 <= constant
/// Yes, the force transmitted is scaled by the ratio.
/// Warning: the pulley joint can get a bit squirrelly by itself. They often
/// work better when combined with prismatic joints. You should also cover the
/// the anchor points with static shapes to prevent one side from going to
/// zero length.
class B2_API b2PulleyJoint : public b2Joint
{
public:
b2Vec2 GetAnchorA() const override;
b2Vec2 GetAnchorB() const override;
b2Vec2 GetReactionForce(float inv_dt) const override;
float GetReactionTorque(float inv_dt) const override;
/// Get the first ground anchor.
b2Vec2 GetGroundAnchorA() const;
/// Get the second ground anchor.
b2Vec2 GetGroundAnchorB() const;
/// Get the current length of the segment attached to bodyA.
float GetLengthA() const;
/// Get the current length of the segment attached to bodyB.
float GetLengthB() const;
/// Get the pulley ratio.
float GetRatio() const;
/// Get the current length of the segment attached to bodyA.
float GetCurrentLengthA() const;
/// Get the current length of the segment attached to bodyB.
float GetCurrentLengthB() const;
/// Dump joint to dmLog
void Dump() override;
/// Implement b2Joint::ShiftOrigin
void ShiftOrigin(const b2Vec2& newOrigin) override;
protected:
friend class b2Joint;
b2PulleyJoint(const b2PulleyJointDef* data);
void InitVelocityConstraints(const b2SolverData& data) override;
void SolveVelocityConstraints(const b2SolverData& data) override;
bool SolvePositionConstraints(const b2SolverData& data) override;
b2Vec2 m_groundAnchorA;
b2Vec2 m_groundAnchorB;
float m_lengthA;
float m_lengthB;
// Solver shared
b2Vec2 m_localAnchorA;
b2Vec2 m_localAnchorB;
float m_constant;
float m_ratio;
float m_impulse;
// Solver temp
int32 m_indexA;
int32 m_indexB;
b2Vec2 m_uA;
b2Vec2 m_uB;
b2Vec2 m_rA;
b2Vec2 m_rB;
b2Vec2 m_localCenterA;
b2Vec2 m_localCenterB;
float m_invMassA;
float m_invMassB;
float m_invIA;
float m_invIB;
float m_mass;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_prismatic_joint.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_PRISMATIC_JOINT_H
#define B2_PRISMATIC_JOINT_H
#include "b2_api.h"
#include "b2_joint.h"
/// Prismatic joint definition. This requires defining a line of
/// motion using an axis and an anchor point. The definition uses local
/// anchor points and a local axis so that the initial configuration
/// can violate the constraint slightly. The joint translation is zero
/// when the local anchor points coincide in world space. Using local
/// anchors and a local axis helps when saving and loading a game.
struct B2_API b2PrismaticJointDef : public b2JointDef
{
b2PrismaticJointDef()
{
type = e_prismaticJoint;
localAnchorA.SetZero();
localAnchorB.SetZero();
localAxisA.Set(1.0f, 0.0f);
referenceAngle = 0.0f;
enableLimit = false;
lowerTranslation = 0.0f;
upperTranslation = 0.0f;
enableMotor = false;
maxMotorForce = 0.0f;
motorSpeed = 0.0f;
}
/// Initialize the bodies, anchors, axis, and reference angle using the world
/// anchor and unit world axis.
void Initialize(b2Body* bodyA, b2Body* bodyB, const b2Vec2& anchor, const b2Vec2& axis);
/// The local anchor point relative to bodyA's origin.
b2Vec2 localAnchorA;
/// The local anchor point relative to bodyB's origin.
b2Vec2 localAnchorB;
/// The local translation unit axis in bodyA.
b2Vec2 localAxisA;
/// The constrained angle between the bodies: bodyB_angle - bodyA_angle.
float referenceAngle;
/// Enable/disable the joint limit.
bool enableLimit;
/// The lower translation limit, usually in meters.
float lowerTranslation;
/// The upper translation limit, usually in meters.
float upperTranslation;
/// Enable/disable the joint motor.
bool enableMotor;
/// The maximum motor torque, usually in N-m.
float maxMotorForce;
/// The desired motor speed in radians per second.
float motorSpeed;
};
/// A prismatic joint. This joint provides one degree of freedom: translation
/// along an axis fixed in bodyA. Relative rotation is prevented. You can
/// use a joint limit to restrict the range of motion and a joint motor to
/// drive the motion or to model joint friction.
class B2_API b2PrismaticJoint : public b2Joint
{
public:
b2Vec2 GetAnchorA() const override;
b2Vec2 GetAnchorB() const override;
b2Vec2 GetReactionForce(float inv_dt) const override;
float GetReactionTorque(float inv_dt) const override;
/// The local anchor point relative to bodyA's origin.
const b2Vec2& GetLocalAnchorA() const { return m_localAnchorA; }
/// The local anchor point relative to bodyB's origin.
const b2Vec2& GetLocalAnchorB() const { return m_localAnchorB; }
/// The local joint axis relative to bodyA.
const b2Vec2& GetLocalAxisA() const { return m_localXAxisA; }
/// Get the reference angle.
float GetReferenceAngle() const { return m_referenceAngle; }
/// Get the current joint translation, usually in meters.
float GetJointTranslation() const;
/// Get the current joint translation speed, usually in meters per second.
float GetJointSpeed() const;
/// Is the joint limit enabled?
bool IsLimitEnabled() const;
/// Enable/disable the joint limit.
void EnableLimit(bool flag);
/// Get the lower joint limit, usually in meters.
float GetLowerLimit() const;
/// Get the upper joint limit, usually in meters.
float GetUpperLimit() const;
/// Set the joint limits, usually in meters.
void SetLimits(float lower, float upper);
/// Is the joint motor enabled?
bool IsMotorEnabled() const;
/// Enable/disable the joint motor.
void EnableMotor(bool flag);
/// Set the motor speed, usually in meters per second.
void SetMotorSpeed(float speed);
/// Get the motor speed, usually in meters per second.
float GetMotorSpeed() const;
/// Set the maximum motor force, usually in N.
void SetMaxMotorForce(float force);
float GetMaxMotorForce() const { return m_maxMotorForce; }
/// Get the current motor force given the inverse time step, usually in N.
float GetMotorForce(float inv_dt) const;
/// Dump to b2Log
void Dump() override;
///
void Draw(b2Draw* draw) const override;
protected:
friend class b2Joint;
friend class b2GearJoint;
b2PrismaticJoint(const b2PrismaticJointDef* def);
void InitVelocityConstraints(const b2SolverData& data) override;
void SolveVelocityConstraints(const b2SolverData& data) override;
bool SolvePositionConstraints(const b2SolverData& data) override;
b2Vec2 m_localAnchorA;
b2Vec2 m_localAnchorB;
b2Vec2 m_localXAxisA;
b2Vec2 m_localYAxisA;
float m_referenceAngle;
b2Vec2 m_impulse;
float m_motorImpulse;
float m_lowerImpulse;
float m_upperImpulse;
float m_lowerTranslation;
float m_upperTranslation;
float m_maxMotorForce;
float m_motorSpeed;
bool m_enableLimit;
bool m_enableMotor;
// Solver temp
int32 m_indexA;
int32 m_indexB;
b2Vec2 m_localCenterA;
b2Vec2 m_localCenterB;
float m_invMassA;
float m_invMassB;
float m_invIA;
float m_invIB;
b2Vec2 m_axis, m_perp;
float m_s1, m_s2;
float m_a1, m_a2;
b2Mat22 m_K;
float m_translation;
float m_axialMass;
};
inline float b2PrismaticJoint::GetMotorSpeed() const
{
return m_motorSpeed;
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_gear_joint.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_GEAR_JOINT_H
#define B2_GEAR_JOINT_H
#include "b2_joint.h"
/// Gear joint definition. This definition requires two existing
/// revolute or prismatic joints (any combination will work).
/// @warning bodyB on the input joints must both be dynamic
struct B2_API b2GearJointDef : public b2JointDef
{
b2GearJointDef()
{
type = e_gearJoint;
joint1 = nullptr;
joint2 = nullptr;
ratio = 1.0f;
}
/// The first revolute/prismatic joint attached to the gear joint.
b2Joint* joint1;
/// The second revolute/prismatic joint attached to the gear joint.
b2Joint* joint2;
/// The gear ratio.
/// @see b2GearJoint for explanation.
float ratio;
};
/// A gear joint is used to connect two joints together. Either joint
/// can be a revolute or prismatic joint. You specify a gear ratio
/// to bind the motions together:
/// coordinate1 + ratio * coordinate2 = constant
/// The ratio can be negative or positive. If one joint is a revolute joint
/// and the other joint is a prismatic joint, then the ratio will have units
/// of length or units of 1/length.
/// @warning You have to manually destroy the gear joint if joint1 or joint2
/// is destroyed.
class B2_API b2GearJoint : public b2Joint
{
public:
b2Vec2 GetAnchorA() const override;
b2Vec2 GetAnchorB() const override;
b2Vec2 GetReactionForce(float inv_dt) const override;
float GetReactionTorque(float inv_dt) const override;
/// Get the first joint.
b2Joint* GetJoint1() { return m_joint1; }
/// Get the second joint.
b2Joint* GetJoint2() { return m_joint2; }
/// Set/Get the gear ratio.
void SetRatio(float ratio);
float GetRatio() const;
/// Dump joint to dmLog
void Dump() override;
protected:
friend class b2Joint;
b2GearJoint(const b2GearJointDef* data);
void InitVelocityConstraints(const b2SolverData& data) override;
void SolveVelocityConstraints(const b2SolverData& data) override;
bool SolvePositionConstraints(const b2SolverData& data) override;
b2Joint* m_joint1;
b2Joint* m_joint2;
b2JointType m_typeA;
b2JointType m_typeB;
// Body A is connected to body C
// Body B is connected to body D
b2Body* m_bodyC;
b2Body* m_bodyD;
// Solver shared
b2Vec2 m_localAnchorA;
b2Vec2 m_localAnchorB;
b2Vec2 m_localAnchorC;
b2Vec2 m_localAnchorD;
b2Vec2 m_localAxisC;
b2Vec2 m_localAxisD;
float m_referenceAngleA;
float m_referenceAngleB;
float m_constant;
float m_ratio;
float m_tolerance;
float m_impulse;
// Solver temp
int32 m_indexA, m_indexB, m_indexC, m_indexD;
b2Vec2 m_lcA, m_lcB, m_lcC, m_lcD;
float m_mA, m_mB, m_mC, m_mD;
float m_iA, m_iB, m_iC, m_iD;
b2Vec2 m_JvAC, m_JvBD;
float m_JwA, m_JwB, m_JwC, m_JwD;
float m_mass;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_world_callbacks.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_WORLD_CALLBACKS_H
#define B2_WORLD_CALLBACKS_H
#include "b2_api.h"
#include "b2_settings.h"
struct b2Vec2;
struct b2Transform;
class b2Fixture;
class b2Body;
class b2Joint;
class b2Contact;
struct b2ContactResult;
struct b2Manifold;
/// Joints and fixtures are destroyed when their associated
/// body is destroyed. Implement this listener so that you
/// may nullify references to these joints and shapes.
class B2_API b2DestructionListener
{
public:
virtual ~b2DestructionListener() {}
/// Called when any joint is about to be destroyed due
/// to the destruction of one of its attached bodies.
virtual void SayGoodbye(b2Joint* joint) = 0;
/// Called when any fixture is about to be destroyed due
/// to the destruction of its parent body.
virtual void SayGoodbye(b2Fixture* fixture) = 0;
};
/// Implement this class to provide collision filtering. In other words, you can implement
/// this class if you want finer control over contact creation.
class B2_API b2ContactFilter
{
public:
virtual ~b2ContactFilter() {}
/// Return true if contact calculations should be performed between these two shapes.
/// @warning for performance reasons this is only called when the AABBs begin to overlap.
virtual bool ShouldCollide(b2Fixture* fixtureA, b2Fixture* fixtureB);
};
/// Contact impulses for reporting. Impulses are used instead of forces because
/// sub-step forces may approach infinity for rigid body collisions. These
/// match up one-to-one with the contact points in b2Manifold.
struct B2_API b2ContactImpulse
{
float normalImpulses[b2_maxManifoldPoints];
float tangentImpulses[b2_maxManifoldPoints];
int32 count;
};
/// Implement this class to get contact information. You can use these results for
/// things like sounds and game logic. You can also get contact results by
/// traversing the contact lists after the time step. However, you might miss
/// some contacts because continuous physics leads to sub-stepping.
/// Additionally you may receive multiple callbacks for the same contact in a
/// single time step.
/// You should strive to make your callbacks efficient because there may be
/// many callbacks per time step.
/// @warning You cannot create/destroy Box2D entities inside these callbacks.
class B2_API b2ContactListener
{
public:
virtual ~b2ContactListener() {}
/// Called when two fixtures begin to touch.
virtual void BeginContact(b2Contact* contact) { B2_NOT_USED(contact); }
/// Called when two fixtures cease to touch.
virtual void EndContact(b2Contact* contact) { B2_NOT_USED(contact); }
/// This is called after a contact is updated. This allows you to inspect a
/// contact before it goes to the solver. If you are careful, you can modify the
/// contact manifold (e.g. disable contact).
/// A copy of the old manifold is provided so that you can detect changes.
/// Note: this is called only for awake bodies.
/// Note: this is called even when the number of contact points is zero.
/// Note: this is not called for sensors.
/// Note: if you set the number of contact points to zero, you will not
/// get an EndContact callback. However, you may get a BeginContact callback
/// the next step.
virtual void PreSolve(b2Contact* contact, const b2Manifold* oldManifold)
{
B2_NOT_USED(contact);
B2_NOT_USED(oldManifold);
}
/// This lets you inspect a contact after the solver is finished. This is useful
/// for inspecting impulses.
/// Note: the contact manifold does not include time of impact impulses, which can be
/// arbitrarily large if the sub-step is small. Hence the impulse is provided explicitly
/// in a separate data structure.
/// Note: this is only called for contacts that are touching, solid, and awake.
virtual void PostSolve(b2Contact* contact, const b2ContactImpulse* impulse)
{
B2_NOT_USED(contact);
B2_NOT_USED(impulse);
}
};
/// Callback class for AABB queries.
/// See b2World::Query
class B2_API b2QueryCallback
{
public:
virtual ~b2QueryCallback() {}
/// Called for each fixture found in the query AABB.
/// @return false to terminate the query.
virtual bool ReportFixture(b2Fixture* fixture) = 0;
};
/// Callback class for ray casts.
/// See b2World::RayCast
class B2_API b2RayCastCallback
{
public:
virtual ~b2RayCastCallback() {}
/// Called for each fixture found in the query. You control how the ray cast
/// proceeds by returning a float:
/// return -1: ignore this fixture and continue
/// return 0: terminate the ray cast
/// return fraction: clip the ray to this point
/// return 1: don't clip the ray and continue
/// @param fixture the fixture hit by the ray
/// @param point the point of initial intersection
/// @param normal the normal vector at the point of intersection
/// @param fraction the fraction along the ray at the point of intersection
/// @return -1 to filter, 0 to terminate, fraction to clip the ray for
/// closest hit, 1 to continue
virtual float ReportFixture( b2Fixture* fixture, const b2Vec2& point,
const b2Vec2& normal, float fraction) = 0;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_shape.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_SHAPE_H
#define B2_SHAPE_H
#include "b2_api.h"
#include "b2_math.h"
#include "b2_collision.h"
class b2BlockAllocator;
/// This holds the mass data computed for a shape.
struct B2_API b2MassData
{
/// The mass of the shape, usually in kilograms.
float mass;
/// The position of the shape's centroid relative to the shape's origin.
b2Vec2 center;
/// The rotational inertia of the shape about the local origin.
float I;
};
/// A shape is used for collision detection. You can create a shape however you like.
/// Shapes used for simulation in b2World are created automatically when a b2Fixture
/// is created. Shapes may encapsulate a one or more child shapes.
class B2_API b2Shape
{
public:
enum Type
{
e_circle = 0,
e_edge = 1,
e_polygon = 2,
e_chain = 3,
e_typeCount = 4
};
virtual ~b2Shape() {}
/// Clone the concrete shape using the provided allocator.
virtual b2Shape* Clone(b2BlockAllocator* allocator) const = 0;
/// Get the type of this shape. You can use this to down cast to the concrete shape.
/// @return the shape type.
Type GetType() const;
/// Get the number of child primitives.
virtual int32 GetChildCount() const = 0;
/// Test a point for containment in this shape. This only works for convex shapes.
/// @param xf the shape world transform.
/// @param p a point in world coordinates.
virtual bool TestPoint(const b2Transform& xf, const b2Vec2& p) const = 0;
/// Cast a ray against a child shape.
/// @param output the ray-cast results.
/// @param input the ray-cast input parameters.
/// @param transform the transform to be applied to the shape.
/// @param childIndex the child shape index
virtual bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& transform, int32 childIndex) const = 0;
/// Given a transform, compute the associated axis aligned bounding box for a child shape.
/// @param aabb returns the axis aligned box.
/// @param xf the world transform of the shape.
/// @param childIndex the child shape
virtual void ComputeAABB(b2AABB* aabb, const b2Transform& xf, int32 childIndex) const = 0;
/// Compute the mass properties of this shape using its dimensions and density.
/// The inertia tensor is computed about the local origin.
/// @param massData returns the mass data for this shape.
/// @param density the density in kilograms per meter squared.
virtual void ComputeMass(b2MassData* massData, float density) const = 0;
Type m_type;
/// Radius of a shape. For polygonal shapes this must be b2_polygonRadius. There is no support for
/// making rounded polygons.
float m_radius;
};
inline b2Shape::Type b2Shape::GetType() const
{
return m_type;
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_time_of_impact.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_TIME_OF_IMPACT_H
#define B2_TIME_OF_IMPACT_H
#include "b2_api.h"
#include "b2_math.h"
#include "b2_distance.h"
/// Input parameters for b2TimeOfImpact
struct B2_API b2TOIInput
{
b2DistanceProxy proxyA;
b2DistanceProxy proxyB;
b2Sweep sweepA;
b2Sweep sweepB;
float tMax; // defines sweep interval [0, tMax]
};
/// Output parameters for b2TimeOfImpact.
struct B2_API b2TOIOutput
{
enum State
{
e_unknown,
e_failed,
e_overlapped,
e_touching,
e_separated
};
State state;
float t;
};
/// Compute the upper bound on time before two shapes penetrate. Time is represented as
/// a fraction between [0,tMax]. This uses a swept separating axis and may miss some intermediate,
/// non-tunneling collisions. If you change the time interval, you should call this function
/// again.
/// Note: use b2Distance to compute the contact point and normal at the time of impact.
B2_API void b2TimeOfImpact(b2TOIOutput* output, const b2TOIInput* input);
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_broad_phase.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_BROAD_PHASE_H
#define B2_BROAD_PHASE_H
#include "b2_api.h"
#include "b2_settings.h"
#include "b2_collision.h"
#include "b2_dynamic_tree.h"
struct B2_API b2Pair
{
int32 proxyIdA;
int32 proxyIdB;
};
/// The broad-phase is used for computing pairs and performing volume queries and ray casts.
/// This broad-phase does not persist pairs. Instead, this reports potentially new pairs.
/// It is up to the client to consume the new pairs and to track subsequent overlap.
class B2_API b2BroadPhase
{
public:
enum
{
e_nullProxy = -1
};
b2BroadPhase();
~b2BroadPhase();
/// Create a proxy with an initial AABB. Pairs are not reported until
/// UpdatePairs is called.
int32 CreateProxy(const b2AABB& aabb, void* userData);
/// Destroy a proxy. It is up to the client to remove any pairs.
void DestroyProxy(int32 proxyId);
/// Call MoveProxy as many times as you like, then when you are done
/// call UpdatePairs to finalized the proxy pairs (for your time step).
void MoveProxy(int32 proxyId, const b2AABB& aabb, const b2Vec2& displacement);
/// Call to trigger a re-processing of it's pairs on the next call to UpdatePairs.
void TouchProxy(int32 proxyId);
/// Get the fat AABB for a proxy.
const b2AABB& GetFatAABB(int32 proxyId) const;
/// Get user data from a proxy. Returns nullptr if the id is invalid.
void* GetUserData(int32 proxyId) const;
/// Test overlap of fat AABBs.
bool TestOverlap(int32 proxyIdA, int32 proxyIdB) const;
/// Get the number of proxies.
int32 GetProxyCount() const;
/// Update the pairs. This results in pair callbacks. This can only add pairs.
template <typename T>
void UpdatePairs(T* callback);
/// Query an AABB for overlapping proxies. The callback class
/// is called for each proxy that overlaps the supplied AABB.
template <typename T>
void Query(T* callback, const b2AABB& aabb) const;
/// Ray-cast against the proxies in the tree. This relies on the callback
/// to perform a exact ray-cast in the case were the proxy contains a shape.
/// The callback also performs the any collision filtering. This has performance
/// roughly equal to k * log(n), where k is the number of collisions and n is the
/// number of proxies in the tree.
/// @param input the ray-cast input data. The ray extends from p1 to p1 + maxFraction * (p2 - p1).
/// @param callback a callback class that is called for each proxy that is hit by the ray.
template <typename T>
void RayCast(T* callback, const b2RayCastInput& input) const;
/// Get the height of the embedded tree.
int32 GetTreeHeight() const;
/// Get the balance of the embedded tree.
int32 GetTreeBalance() const;
/// Get the quality metric of the embedded tree.
float GetTreeQuality() const;
/// Shift the world origin. Useful for large worlds.
/// The shift formula is: position -= newOrigin
/// @param newOrigin the new origin with respect to the old origin
void ShiftOrigin(const b2Vec2& newOrigin);
private:
friend class b2DynamicTree;
void BufferMove(int32 proxyId);
void UnBufferMove(int32 proxyId);
bool QueryCallback(int32 proxyId);
b2DynamicTree m_tree;
int32 m_proxyCount;
int32* m_moveBuffer;
int32 m_moveCapacity;
int32 m_moveCount;
b2Pair* m_pairBuffer;
int32 m_pairCapacity;
int32 m_pairCount;
int32 m_queryProxyId;
};
inline void* b2BroadPhase::GetUserData(int32 proxyId) const
{
return m_tree.GetUserData(proxyId);
}
inline bool b2BroadPhase::TestOverlap(int32 proxyIdA, int32 proxyIdB) const
{
const b2AABB& aabbA = m_tree.GetFatAABB(proxyIdA);
const b2AABB& aabbB = m_tree.GetFatAABB(proxyIdB);
return b2TestOverlap(aabbA, aabbB);
}
inline const b2AABB& b2BroadPhase::GetFatAABB(int32 proxyId) const
{
return m_tree.GetFatAABB(proxyId);
}
inline int32 b2BroadPhase::GetProxyCount() const
{
return m_proxyCount;
}
inline int32 b2BroadPhase::GetTreeHeight() const
{
return m_tree.GetHeight();
}
inline int32 b2BroadPhase::GetTreeBalance() const
{
return m_tree.GetMaxBalance();
}
inline float b2BroadPhase::GetTreeQuality() const
{
return m_tree.GetAreaRatio();
}
template <typename T>
void b2BroadPhase::UpdatePairs(T* callback)
{
// Reset pair buffer
m_pairCount = 0;
// Perform tree queries for all moving proxies.
for (int32 i = 0; i < m_moveCount; ++i)
{
m_queryProxyId = m_moveBuffer[i];
if (m_queryProxyId == e_nullProxy)
{
continue;
}
// We have to query the tree with the fat AABB so that
// we don't fail to create a pair that may touch later.
const b2AABB& fatAABB = m_tree.GetFatAABB(m_queryProxyId);
// Query tree, create pairs and add them pair buffer.
m_tree.Query(this, fatAABB);
}
// Send pairs to caller
for (int32 i = 0; i < m_pairCount; ++i)
{
b2Pair* primaryPair = m_pairBuffer + i;
void* userDataA = m_tree.GetUserData(primaryPair->proxyIdA);
void* userDataB = m_tree.GetUserData(primaryPair->proxyIdB);
callback->AddPair(userDataA, userDataB);
}
// Clear move flags
for (int32 i = 0; i < m_moveCount; ++i)
{
int32 proxyId = m_moveBuffer[i];
if (proxyId == e_nullProxy)
{
continue;
}
m_tree.ClearMoved(proxyId);
}
// Reset move buffer
m_moveCount = 0;
}
template <typename T>
inline void b2BroadPhase::Query(T* callback, const b2AABB& aabb) const
{
m_tree.Query(callback, aabb);
}
template <typename T>
inline void b2BroadPhase::RayCast(T* callback, const b2RayCastInput& input) const
{
m_tree.RayCast(callback, input);
}
inline void b2BroadPhase::ShiftOrigin(const b2Vec2& newOrigin)
{
m_tree.ShiftOrigin(newOrigin);
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_dynamic_tree.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_DYNAMIC_TREE_H
#define B2_DYNAMIC_TREE_H
#include "b2_api.h"
#include "b2_collision.h"
#include "b2_growable_stack.h"
#define b2_nullNode (-1)
/// A node in the dynamic tree. The client does not interact with this directly.
struct B2_API b2TreeNode
{
bool IsLeaf() const
{
return child1 == b2_nullNode;
}
/// Enlarged AABB
b2AABB aabb;
void* userData;
union
{
int32 parent;
int32 next;
};
int32 child1;
int32 child2;
// leaf = 0, free node = -1
int32 height;
bool moved;
};
/// A dynamic AABB tree broad-phase, inspired by Nathanael Presson's btDbvt.
/// A dynamic tree arranges data in a binary tree to accelerate
/// queries such as volume queries and ray casts. Leafs are proxies
/// with an AABB. In the tree we expand the proxy AABB by b2_fatAABBFactor
/// so that the proxy AABB is bigger than the client object. This allows the client
/// object to move by small amounts without triggering a tree update.
///
/// Nodes are pooled and relocatable, so we use node indices rather than pointers.
class B2_API b2DynamicTree
{
public:
/// Constructing the tree initializes the node pool.
b2DynamicTree();
/// Destroy the tree, freeing the node pool.
~b2DynamicTree();
/// Create a proxy. Provide a tight fitting AABB and a userData pointer.
int32 CreateProxy(const b2AABB& aabb, void* userData);
/// Destroy a proxy. This asserts if the id is invalid.
void DestroyProxy(int32 proxyId);
/// Move a proxy with a swepted AABB. If the proxy has moved outside of its fattened AABB,
/// then the proxy is removed from the tree and re-inserted. Otherwise
/// the function returns immediately.
/// @return true if the proxy was re-inserted.
bool MoveProxy(int32 proxyId, const b2AABB& aabb1, const b2Vec2& displacement);
/// Get proxy user data.
/// @return the proxy user data or 0 if the id is invalid.
void* GetUserData(int32 proxyId) const;
bool WasMoved(int32 proxyId) const;
void ClearMoved(int32 proxyId);
/// Get the fat AABB for a proxy.
const b2AABB& GetFatAABB(int32 proxyId) const;
/// Query an AABB for overlapping proxies. The callback class
/// is called for each proxy that overlaps the supplied AABB.
template <typename T>
void Query(T* callback, const b2AABB& aabb) const;
/// Ray-cast against the proxies in the tree. This relies on the callback
/// to perform a exact ray-cast in the case were the proxy contains a shape.
/// The callback also performs the any collision filtering. This has performance
/// roughly equal to k * log(n), where k is the number of collisions and n is the
/// number of proxies in the tree.
/// @param input the ray-cast input data. The ray extends from p1 to p1 + maxFraction * (p2 - p1).
/// @param callback a callback class that is called for each proxy that is hit by the ray.
template <typename T>
void RayCast(T* callback, const b2RayCastInput& input) const;
/// Validate this tree. For testing.
void Validate() const;
/// Compute the height of the binary tree in O(N) time. Should not be
/// called often.
int32 GetHeight() const;
/// Get the maximum balance of an node in the tree. The balance is the difference
/// in height of the two children of a node.
int32 GetMaxBalance() const;
/// Get the ratio of the sum of the node areas to the root area.
float GetAreaRatio() const;
/// Build an optimal tree. Very expensive. For testing.
void RebuildBottomUp();
/// Shift the world origin. Useful for large worlds.
/// The shift formula is: position -= newOrigin
/// @param newOrigin the new origin with respect to the old origin
void ShiftOrigin(const b2Vec2& newOrigin);
private:
int32 AllocateNode();
void FreeNode(int32 node);
void InsertLeaf(int32 node);
void RemoveLeaf(int32 node);
int32 Balance(int32 index);
int32 ComputeHeight() const;
int32 ComputeHeight(int32 nodeId) const;
void ValidateStructure(int32 index) const;
void ValidateMetrics(int32 index) const;
int32 m_root;
b2TreeNode* m_nodes;
int32 m_nodeCount;
int32 m_nodeCapacity;
int32 m_freeList;
int32 m_insertionCount;
};
inline void* b2DynamicTree::GetUserData(int32 proxyId) const
{
b2Assert(0 <= proxyId && proxyId < m_nodeCapacity);
return m_nodes[proxyId].userData;
}
inline bool b2DynamicTree::WasMoved(int32 proxyId) const
{
b2Assert(0 <= proxyId && proxyId < m_nodeCapacity);
return m_nodes[proxyId].moved;
}
inline void b2DynamicTree::ClearMoved(int32 proxyId)
{
b2Assert(0 <= proxyId && proxyId < m_nodeCapacity);
m_nodes[proxyId].moved = false;
}
inline const b2AABB& b2DynamicTree::GetFatAABB(int32 proxyId) const
{
b2Assert(0 <= proxyId && proxyId < m_nodeCapacity);
return m_nodes[proxyId].aabb;
}
template <typename T>
inline void b2DynamicTree::Query(T* callback, const b2AABB& aabb) const
{
b2GrowableStack<int32, 256> stack;
stack.Push(m_root);
while (stack.GetCount() > 0)
{
int32 nodeId = stack.Pop();
if (nodeId == b2_nullNode)
{
continue;
}
const b2TreeNode* node = m_nodes + nodeId;
if (b2TestOverlap(node->aabb, aabb))
{
if (node->IsLeaf())
{
bool proceed = callback->QueryCallback(nodeId);
if (proceed == false)
{
return;
}
}
else
{
stack.Push(node->child1);
stack.Push(node->child2);
}
}
}
}
template <typename T>
inline void b2DynamicTree::RayCast(T* callback, const b2RayCastInput& input) const
{
b2Vec2 p1 = input.p1;
b2Vec2 p2 = input.p2;
b2Vec2 r = p2 - p1;
b2Assert(r.LengthSquared() > 0.0f);
r.Normalize();
// v is perpendicular to the segment.
b2Vec2 v = b2Cross(1.0f, r);
b2Vec2 abs_v = b2Abs(v);
// Separating axis for segment (Gino, p80).
// |dot(v, p1 - c)| > dot(|v|, h)
float maxFraction = input.maxFraction;
// Build a bounding box for the segment.
b2AABB segmentAABB;
{
b2Vec2 t = p1 + maxFraction * (p2 - p1);
segmentAABB.lowerBound = b2Min(p1, t);
segmentAABB.upperBound = b2Max(p1, t);
}
b2GrowableStack<int32, 256> stack;
stack.Push(m_root);
while (stack.GetCount() > 0)
{
int32 nodeId = stack.Pop();
if (nodeId == b2_nullNode)
{
continue;
}
const b2TreeNode* node = m_nodes + nodeId;
if (b2TestOverlap(node->aabb, segmentAABB) == false)
{
continue;
}
// Separating axis for segment (Gino, p80).
// |dot(v, p1 - c)| > dot(|v|, h)
b2Vec2 c = node->aabb.GetCenter();
b2Vec2 h = node->aabb.GetExtents();
float separation = b2Abs(b2Dot(v, p1 - c)) - b2Dot(abs_v, h);
if (separation > 0.0f)
{
continue;
}
if (node->IsLeaf())
{
b2RayCastInput subInput;
subInput.p1 = input.p1;
subInput.p2 = input.p2;
subInput.maxFraction = maxFraction;
float value = callback->RayCastCallback(subInput, nodeId);
if (value == 0.0f)
{
// The client has terminated the ray cast.
return;
}
if (value > 0.0f)
{
// Update segment bounding box.
maxFraction = value;
b2Vec2 t = p1 + maxFraction * (p2 - p1);
segmentAABB.lowerBound = b2Min(p1, t);
segmentAABB.upperBound = b2Max(p1, t);
}
}
else
{
stack.Push(node->child1);
stack.Push(node->child2);
}
}
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_friction_joint.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_FRICTION_JOINT_H
#define B2_FRICTION_JOINT_H
#include "b2_api.h"
#include "b2_joint.h"
/// Friction joint definition.
struct B2_API b2FrictionJointDef : public b2JointDef
{
b2FrictionJointDef()
{
type = e_frictionJoint;
localAnchorA.SetZero();
localAnchorB.SetZero();
maxForce = 0.0f;
maxTorque = 0.0f;
}
/// Initialize the bodies, anchors, axis, and reference angle using the world
/// anchor and world axis.
void Initialize(b2Body* bodyA, b2Body* bodyB, const b2Vec2& anchor);
/// The local anchor point relative to bodyA's origin.
b2Vec2 localAnchorA;
/// The local anchor point relative to bodyB's origin.
b2Vec2 localAnchorB;
/// The maximum friction force in N.
float maxForce;
/// The maximum friction torque in N-m.
float maxTorque;
};
/// Friction joint. This is used for top-down friction.
/// It provides 2D translational friction and angular friction.
class B2_API b2FrictionJoint : public b2Joint
{
public:
b2Vec2 GetAnchorA() const override;
b2Vec2 GetAnchorB() const override;
b2Vec2 GetReactionForce(float inv_dt) const override;
float GetReactionTorque(float inv_dt) const override;
/// The local anchor point relative to bodyA's origin.
const b2Vec2& GetLocalAnchorA() const { return m_localAnchorA; }
/// The local anchor point relative to bodyB's origin.
const b2Vec2& GetLocalAnchorB() const { return m_localAnchorB; }
/// Set the maximum friction force in N.
void SetMaxForce(float force);
/// Get the maximum friction force in N.
float GetMaxForce() const;
/// Set the maximum friction torque in N*m.
void SetMaxTorque(float torque);
/// Get the maximum friction torque in N*m.
float GetMaxTorque() const;
/// Dump joint to dmLog
void Dump() override;
protected:
friend class b2Joint;
b2FrictionJoint(const b2FrictionJointDef* def);
void InitVelocityConstraints(const b2SolverData& data) override;
void SolveVelocityConstraints(const b2SolverData& data) override;
bool SolvePositionConstraints(const b2SolverData& data) override;
b2Vec2 m_localAnchorA;
b2Vec2 m_localAnchorB;
// Solver shared
b2Vec2 m_linearImpulse;
float m_angularImpulse;
float m_maxForce;
float m_maxTorque;
// Solver temp
int32 m_indexA;
int32 m_indexB;
b2Vec2 m_rA;
b2Vec2 m_rB;
b2Vec2 m_localCenterA;
b2Vec2 m_localCenterB;
float m_invMassA;
float m_invMassB;
float m_invIA;
float m_invIB;
b2Mat22 m_linearMass;
float m_angularMass;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_types.h | // MIT License
// Copyright (c) 2020 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_TYPES_H
#define B2_TYPES_H
typedef signed char int8;
typedef signed short int16;
typedef signed int int32;
typedef unsigned char uint8;
typedef unsigned short uint16;
typedef unsigned int uint32;
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_stack_allocator.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_STACK_ALLOCATOR_H
#define B2_STACK_ALLOCATOR_H
#include "b2_api.h"
#include "b2_settings.h"
const int32 b2_stackSize = 100 * 1024; // 100k
const int32 b2_maxStackEntries = 32;
struct B2_API b2StackEntry
{
char* data;
int32 size;
bool usedMalloc;
};
// This is a stack allocator used for fast per step allocations.
// You must nest allocate/free pairs. The code will assert
// if you try to interleave multiple allocate/free pairs.
class B2_API b2StackAllocator
{
public:
b2StackAllocator();
~b2StackAllocator();
void* Allocate(int32 size);
void Free(void* p);
int32 GetMaxAllocation() const;
private:
char m_data[b2_stackSize];
int32 m_index;
int32 m_allocation;
int32 m_maxAllocation;
b2StackEntry m_entries[b2_maxStackEntries];
int32 m_entryCount;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_edge_shape.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_EDGE_SHAPE_H
#define B2_EDGE_SHAPE_H
#include "b2_api.h"
#include "b2_shape.h"
/// A line segment (edge) shape. These can be connected in chains or loops
/// to other edge shapes. Edges created independently are two-sided and do
/// no provide smooth movement across junctions.
class B2_API b2EdgeShape : public b2Shape
{
public:
b2EdgeShape();
/// Set this as a part of a sequence. Vertex v0 precedes the edge and vertex v3
/// follows. These extra vertices are used to provide smooth movement
/// across junctions. This also makes the collision one-sided. The edge
/// normal points to the right looking from v1 to v2.
void SetOneSided(const b2Vec2& v0, const b2Vec2& v1,const b2Vec2& v2, const b2Vec2& v3);
/// Set this as an isolated edge. Collision is two-sided.
void SetTwoSided(const b2Vec2& v1, const b2Vec2& v2);
/// Implement b2Shape.
b2Shape* Clone(b2BlockAllocator* allocator) const override;
/// @see b2Shape::GetChildCount
int32 GetChildCount() const override;
/// @see b2Shape::TestPoint
bool TestPoint(const b2Transform& transform, const b2Vec2& p) const override;
/// Implement b2Shape.
bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& transform, int32 childIndex) const override;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, int32 childIndex) const override;
/// @see b2Shape::ComputeMass
void ComputeMass(b2MassData* massData, float density) const override;
/// These are the edge vertices
b2Vec2 m_vertex1, m_vertex2;
/// Optional adjacent vertices. These are used for smooth collision.
b2Vec2 m_vertex0, m_vertex3;
/// Uses m_vertex0 and m_vertex3 to create smooth collision.
bool m_oneSided;
};
inline b2EdgeShape::b2EdgeShape()
{
m_type = e_edge;
m_radius = b2_polygonRadius;
m_vertex0.x = 0.0f;
m_vertex0.y = 0.0f;
m_vertex3.x = 0.0f;
m_vertex3.y = 0.0f;
m_oneSided = false;
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_timer.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_TIMER_H
#define B2_TIMER_H
#include "b2_api.h"
#include "b2_settings.h"
/// Timer for profiling. This has platform specific code and may
/// not work on every platform.
class B2_API b2Timer
{
public:
/// Constructor
b2Timer();
/// Reset the timer.
void Reset();
/// Get the time since construction or the last reset.
float GetMilliseconds() const;
private:
#if defined(_WIN32)
double m_start;
static double s_invFrequency;
#elif defined(__linux__) || defined (__APPLE__)
unsigned long long m_start_sec;
unsigned long long m_start_usec;
#endif
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_world.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_WORLD_H
#define B2_WORLD_H
#include "b2_api.h"
#include "b2_block_allocator.h"
#include "b2_contact_manager.h"
#include "b2_math.h"
#include "b2_stack_allocator.h"
#include "b2_time_step.h"
#include "b2_world_callbacks.h"
struct b2AABB;
struct b2BodyDef;
struct b2Color;
struct b2JointDef;
class b2Body;
class b2Draw;
class b2Fixture;
class b2Joint;
/// The world class manages all physics entities, dynamic simulation,
/// and asynchronous queries. The world also contains efficient memory
/// management facilities.
class B2_API b2World
{
public:
/// Construct a world object.
/// @param gravity the world gravity vector.
b2World(const b2Vec2& gravity);
/// Destruct the world. All physics entities are destroyed and all heap memory is released.
~b2World();
/// Register a destruction listener. The listener is owned by you and must
/// remain in scope.
void SetDestructionListener(b2DestructionListener* listener);
/// Register a contact filter to provide specific control over collision.
/// Otherwise the default filter is used (b2_defaultFilter). The listener is
/// owned by you and must remain in scope.
void SetContactFilter(b2ContactFilter* filter);
/// Register a contact event listener. The listener is owned by you and must
/// remain in scope.
void SetContactListener(b2ContactListener* listener);
/// Register a routine for debug drawing. The debug draw functions are called
/// inside with b2World::DebugDraw method. The debug draw object is owned
/// by you and must remain in scope.
void SetDebugDraw(b2Draw* debugDraw);
/// Create a rigid body given a definition. No reference to the definition
/// is retained.
/// @warning This function is locked during callbacks.
b2Body* CreateBody(const b2BodyDef* def);
/// Destroy a rigid body given a definition. No reference to the definition
/// is retained. This function is locked during callbacks.
/// @warning This automatically deletes all associated shapes and joints.
/// @warning This function is locked during callbacks.
void DestroyBody(b2Body* body);
/// Create a joint to constrain bodies together. No reference to the definition
/// is retained. This may cause the connected bodies to cease colliding.
/// @warning This function is locked during callbacks.
b2Joint* CreateJoint(const b2JointDef* def);
/// Destroy a joint. This may cause the connected bodies to begin colliding.
/// @warning This function is locked during callbacks.
void DestroyJoint(b2Joint* joint);
/// Take a time step. This performs collision detection, integration,
/// and constraint solution.
/// @param timeStep the amount of time to simulate, this should not vary.
/// @param velocityIterations for the velocity constraint solver.
/// @param positionIterations for the position constraint solver.
void Step( float timeStep,
int32 velocityIterations,
int32 positionIterations);
/// Manually clear the force buffer on all bodies. By default, forces are cleared automatically
/// after each call to Step. The default behavior is modified by calling SetAutoClearForces.
/// The purpose of this function is to support sub-stepping. Sub-stepping is often used to maintain
/// a fixed sized time step under a variable frame-rate.
/// When you perform sub-stepping you will disable auto clearing of forces and instead call
/// ClearForces after all sub-steps are complete in one pass of your game loop.
/// @see SetAutoClearForces
void ClearForces();
/// Call this to draw shapes and other debug draw data. This is intentionally non-const.
void DebugDraw();
/// Query the world for all fixtures that potentially overlap the
/// provided AABB.
/// @param callback a user implemented callback class.
/// @param aabb the query box.
void QueryAABB(b2QueryCallback* callback, const b2AABB& aabb) const;
/// Ray-cast the world for all fixtures in the path of the ray. Your callback
/// controls whether you get the closest point, any point, or n-points.
/// The ray-cast ignores shapes that contain the starting point.
/// @param callback a user implemented callback class.
/// @param point1 the ray starting point
/// @param point2 the ray ending point
void RayCast(b2RayCastCallback* callback, const b2Vec2& point1, const b2Vec2& point2) const;
/// Get the world body list. With the returned body, use b2Body::GetNext to get
/// the next body in the world list. A nullptr body indicates the end of the list.
/// @return the head of the world body list.
b2Body* GetBodyList();
const b2Body* GetBodyList() const;
/// Get the world joint list. With the returned joint, use b2Joint::GetNext to get
/// the next joint in the world list. A nullptr joint indicates the end of the list.
/// @return the head of the world joint list.
b2Joint* GetJointList();
const b2Joint* GetJointList() const;
/// Get the world contact list. With the returned contact, use b2Contact::GetNext to get
/// the next contact in the world list. A nullptr contact indicates the end of the list.
/// @return the head of the world contact list.
/// @warning contacts are created and destroyed in the middle of a time step.
/// Use b2ContactListener to avoid missing contacts.
b2Contact* GetContactList();
const b2Contact* GetContactList() const;
/// Enable/disable sleep.
void SetAllowSleeping(bool flag);
bool GetAllowSleeping() const { return m_allowSleep; }
/// Enable/disable warm starting. For testing.
void SetWarmStarting(bool flag) { m_warmStarting = flag; }
bool GetWarmStarting() const { return m_warmStarting; }
/// Enable/disable continuous physics. For testing.
void SetContinuousPhysics(bool flag) { m_continuousPhysics = flag; }
bool GetContinuousPhysics() const { return m_continuousPhysics; }
/// Enable/disable single stepped continuous physics. For testing.
void SetSubStepping(bool flag) { m_subStepping = flag; }
bool GetSubStepping() const { return m_subStepping; }
/// Get the number of broad-phase proxies.
int32 GetProxyCount() const;
/// Get the number of bodies.
int32 GetBodyCount() const;
/// Get the number of joints.
int32 GetJointCount() const;
/// Get the number of contacts (each may have 0 or more contact points).
int32 GetContactCount() const;
/// Get the height of the dynamic tree.
int32 GetTreeHeight() const;
/// Get the balance of the dynamic tree.
int32 GetTreeBalance() const;
/// Get the quality metric of the dynamic tree. The smaller the better.
/// The minimum is 1.
float GetTreeQuality() const;
/// Change the global gravity vector.
void SetGravity(const b2Vec2& gravity);
/// Get the global gravity vector.
b2Vec2 GetGravity() const;
/// Is the world locked (in the middle of a time step).
bool IsLocked() const;
/// Set flag to control automatic clearing of forces after each time step.
void SetAutoClearForces(bool flag);
/// Get the flag that controls automatic clearing of forces after each time step.
bool GetAutoClearForces() const;
/// Shift the world origin. Useful for large worlds.
/// The body shift formula is: position -= newOrigin
/// @param newOrigin the new origin with respect to the old origin
void ShiftOrigin(const b2Vec2& newOrigin);
/// Get the contact manager for testing.
const b2ContactManager& GetContactManager() const;
/// Get the current profile.
const b2Profile& GetProfile() const;
/// Dump the world into the log file.
/// @warning this should be called outside of a time step.
void Dump();
private:
friend class b2Body;
friend class b2Fixture;
friend class b2ContactManager;
friend class b2Controller;
b2World(const b2World&) = delete;
void operator=(const b2World&) = delete;
void Solve(const b2TimeStep& step);
void SolveTOI(const b2TimeStep& step);
void DrawShape(b2Fixture* shape, const b2Transform& xf, const b2Color& color);
b2BlockAllocator m_blockAllocator;
b2StackAllocator m_stackAllocator;
b2ContactManager m_contactManager;
b2Body* m_bodyList;
b2Joint* m_jointList;
int32 m_bodyCount;
int32 m_jointCount;
b2Vec2 m_gravity;
bool m_allowSleep;
b2DestructionListener* m_destructionListener;
b2Draw* m_debugDraw;
// This is used to compute the time step ratio to
// support a variable time step.
float m_inv_dt0;
bool m_newContacts;
bool m_locked;
bool m_clearForces;
// These are for debugging the solver.
bool m_warmStarting;
bool m_continuousPhysics;
bool m_subStepping;
bool m_stepComplete;
b2Profile m_profile;
};
inline b2Body* b2World::GetBodyList()
{
return m_bodyList;
}
inline const b2Body* b2World::GetBodyList() const
{
return m_bodyList;
}
inline b2Joint* b2World::GetJointList()
{
return m_jointList;
}
inline const b2Joint* b2World::GetJointList() const
{
return m_jointList;
}
inline b2Contact* b2World::GetContactList()
{
return m_contactManager.m_contactList;
}
inline const b2Contact* b2World::GetContactList() const
{
return m_contactManager.m_contactList;
}
inline int32 b2World::GetBodyCount() const
{
return m_bodyCount;
}
inline int32 b2World::GetJointCount() const
{
return m_jointCount;
}
inline int32 b2World::GetContactCount() const
{
return m_contactManager.m_contactCount;
}
inline void b2World::SetGravity(const b2Vec2& gravity)
{
m_gravity = gravity;
}
inline b2Vec2 b2World::GetGravity() const
{
return m_gravity;
}
inline bool b2World::IsLocked() const
{
return m_locked;
}
inline void b2World::SetAutoClearForces(bool flag)
{
m_clearForces = flag;
}
/// Get the flag that controls automatic clearing of forces after each time step.
inline bool b2World::GetAutoClearForces() const
{
return m_clearForces;
}
inline const b2ContactManager& b2World::GetContactManager() const
{
return m_contactManager;
}
inline const b2Profile& b2World::GetProfile() const
{
return m_profile;
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_motor_joint.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_MOTOR_JOINT_H
#define B2_MOTOR_JOINT_H
#include "b2_api.h"
#include "b2_joint.h"
/// Motor joint definition.
struct B2_API b2MotorJointDef : public b2JointDef
{
b2MotorJointDef()
{
type = e_motorJoint;
linearOffset.SetZero();
angularOffset = 0.0f;
maxForce = 1.0f;
maxTorque = 1.0f;
correctionFactor = 0.3f;
}
/// Initialize the bodies and offsets using the current transforms.
void Initialize(b2Body* bodyA, b2Body* bodyB);
/// Position of bodyB minus the position of bodyA, in bodyA's frame, in meters.
b2Vec2 linearOffset;
/// The bodyB angle minus bodyA angle in radians.
float angularOffset;
/// The maximum motor force in N.
float maxForce;
/// The maximum motor torque in N-m.
float maxTorque;
/// Position correction factor in the range [0,1].
float correctionFactor;
};
/// A motor joint is used to control the relative motion
/// between two bodies. A typical usage is to control the movement
/// of a dynamic body with respect to the ground.
class B2_API b2MotorJoint : public b2Joint
{
public:
b2Vec2 GetAnchorA() const override;
b2Vec2 GetAnchorB() const override;
b2Vec2 GetReactionForce(float inv_dt) const override;
float GetReactionTorque(float inv_dt) const override;
/// Set/get the target linear offset, in frame A, in meters.
void SetLinearOffset(const b2Vec2& linearOffset);
const b2Vec2& GetLinearOffset() const;
/// Set/get the target angular offset, in radians.
void SetAngularOffset(float angularOffset);
float GetAngularOffset() const;
/// Set the maximum friction force in N.
void SetMaxForce(float force);
/// Get the maximum friction force in N.
float GetMaxForce() const;
/// Set the maximum friction torque in N*m.
void SetMaxTorque(float torque);
/// Get the maximum friction torque in N*m.
float GetMaxTorque() const;
/// Set the position correction factor in the range [0,1].
void SetCorrectionFactor(float factor);
/// Get the position correction factor in the range [0,1].
float GetCorrectionFactor() const;
/// Dump to b2Log
void Dump() override;
protected:
friend class b2Joint;
b2MotorJoint(const b2MotorJointDef* def);
void InitVelocityConstraints(const b2SolverData& data) override;
void SolveVelocityConstraints(const b2SolverData& data) override;
bool SolvePositionConstraints(const b2SolverData& data) override;
// Solver shared
b2Vec2 m_linearOffset;
float m_angularOffset;
b2Vec2 m_linearImpulse;
float m_angularImpulse;
float m_maxForce;
float m_maxTorque;
float m_correctionFactor;
// Solver temp
int32 m_indexA;
int32 m_indexB;
b2Vec2 m_rA;
b2Vec2 m_rB;
b2Vec2 m_localCenterA;
b2Vec2 m_localCenterB;
b2Vec2 m_linearError;
float m_angularError;
float m_invMassA;
float m_invMassB;
float m_invIA;
float m_invIB;
b2Mat22 m_linearMass;
float m_angularMass;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_time_step.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_TIME_STEP_H
#define B2_TIME_STEP_H
#include "b2_api.h"
#include "b2_math.h"
/// Profiling data. Times are in milliseconds.
struct B2_API b2Profile
{
float step;
float collide;
float solve;
float solveInit;
float solveVelocity;
float solvePosition;
float broadphase;
float solveTOI;
};
/// This is an internal structure.
struct B2_API b2TimeStep
{
float dt; // time step
float inv_dt; // inverse time step (0 if dt == 0).
float dtRatio; // dt * inv_dt0
int32 velocityIterations;
int32 positionIterations;
bool warmStarting;
};
/// This is an internal structure.
struct B2_API b2Position
{
b2Vec2 c;
float a;
};
/// This is an internal structure.
struct B2_API b2Velocity
{
b2Vec2 v;
float w;
};
/// Solver Data
struct B2_API b2SolverData
{
b2TimeStep step;
b2Position* positions;
b2Velocity* velocities;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_circle_shape.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_CIRCLE_SHAPE_H
#define B2_CIRCLE_SHAPE_H
#include "b2_api.h"
#include "b2_shape.h"
/// A solid circle shape
class B2_API b2CircleShape : public b2Shape
{
public:
b2CircleShape();
/// Implement b2Shape.
b2Shape* Clone(b2BlockAllocator* allocator) const override;
/// @see b2Shape::GetChildCount
int32 GetChildCount() const override;
/// Implement b2Shape.
bool TestPoint(const b2Transform& transform, const b2Vec2& p) const override;
/// Implement b2Shape.
/// @note because the circle is solid, rays that start inside do not hit because the normal is
/// not defined.
bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& transform, int32 childIndex) const override;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, int32 childIndex) const override;
/// @see b2Shape::ComputeMass
void ComputeMass(b2MassData* massData, float density) const override;
/// Position
b2Vec2 m_p;
};
inline b2CircleShape::b2CircleShape()
{
m_type = e_circle;
m_radius = 0.0f;
m_p.SetZero();
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_block_allocator.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_BLOCK_ALLOCATOR_H
#define B2_BLOCK_ALLOCATOR_H
#include "b2_api.h"
#include "b2_settings.h"
const int32 b2_blockSizeCount = 14;
struct b2Block;
struct b2Chunk;
/// This is a small object allocator used for allocating small
/// objects that persist for more than one time step.
/// See: http://www.codeproject.com/useritems/Small_Block_Allocator.asp
class B2_API b2BlockAllocator
{
public:
b2BlockAllocator();
~b2BlockAllocator();
/// Allocate memory. This will use b2Alloc if the size is larger than b2_maxBlockSize.
void* Allocate(int32 size);
/// Free memory. This will use b2Free if the size is larger than b2_maxBlockSize.
void Free(void* p, int32 size);
void Clear();
private:
b2Chunk* m_chunks;
int32 m_chunkCount;
int32 m_chunkSpace;
b2Block* m_freeLists[b2_blockSizeCount];
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_mouse_joint.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_MOUSE_JOINT_H
#define B2_MOUSE_JOINT_H
#include "b2_api.h"
#include "b2_joint.h"
/// Mouse joint definition. This requires a world target point,
/// tuning parameters, and the time step.
struct B2_API b2MouseJointDef : public b2JointDef
{
b2MouseJointDef()
{
type = e_mouseJoint;
target.Set(0.0f, 0.0f);
maxForce = 0.0f;
stiffness = 0.0f;
damping = 0.0f;
}
/// The initial world target point. This is assumed
/// to coincide with the body anchor initially.
b2Vec2 target;
/// The maximum constraint force that can be exerted
/// to move the candidate body. Usually you will express
/// as some multiple of the weight (multiplier * mass * gravity).
float maxForce;
/// The linear stiffness in N/m
float stiffness;
/// The linear damping in N*s/m
float damping;
};
/// A mouse joint is used to make a point on a body track a
/// specified world point. This a soft constraint with a maximum
/// force. This allows the constraint to stretch and without
/// applying huge forces.
/// NOTE: this joint is not documented in the manual because it was
/// developed to be used in the testbed. If you want to learn how to
/// use the mouse joint, look at the testbed.
class B2_API b2MouseJoint : public b2Joint
{
public:
/// Implements b2Joint.
b2Vec2 GetAnchorA() const override;
/// Implements b2Joint.
b2Vec2 GetAnchorB() const override;
/// Implements b2Joint.
b2Vec2 GetReactionForce(float inv_dt) const override;
/// Implements b2Joint.
float GetReactionTorque(float inv_dt) const override;
/// Use this to update the target point.
void SetTarget(const b2Vec2& target);
const b2Vec2& GetTarget() const;
/// Set/get the maximum force in Newtons.
void SetMaxForce(float force);
float GetMaxForce() const;
/// Set/get the linear stiffness in N/m
void SetStiffness(float stiffness) { m_stiffness = stiffness; }
float GetStiffness() const { return m_stiffness; }
/// Set/get linear damping in N*s/m
void SetDamping(float damping) { m_damping = damping; }
float GetDamping() const { return m_damping; }
/// The mouse joint does not support dumping.
void Dump() override { b2Log("Mouse joint dumping is not supported.\n"); }
/// Implement b2Joint::ShiftOrigin
void ShiftOrigin(const b2Vec2& newOrigin) override;
protected:
friend class b2Joint;
b2MouseJoint(const b2MouseJointDef* def);
void InitVelocityConstraints(const b2SolverData& data) override;
void SolveVelocityConstraints(const b2SolverData& data) override;
bool SolvePositionConstraints(const b2SolverData& data) override;
b2Vec2 m_localAnchorB;
b2Vec2 m_targetA;
float m_stiffness;
float m_damping;
float m_beta;
// Solver shared
b2Vec2 m_impulse;
float m_maxForce;
float m_gamma;
// Solver temp
int32 m_indexA;
int32 m_indexB;
b2Vec2 m_rB;
b2Vec2 m_localCenterB;
float m_invMassB;
float m_invIB;
b2Mat22 m_mass;
b2Vec2 m_C;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_distance.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_DISTANCE_H
#define B2_DISTANCE_H
#include "b2_api.h"
#include "b2_math.h"
class b2Shape;
/// A distance proxy is used by the GJK algorithm.
/// It encapsulates any shape.
struct B2_API b2DistanceProxy
{
b2DistanceProxy() : m_vertices(nullptr), m_count(0), m_radius(0.0f) {}
/// Initialize the proxy using the given shape. The shape
/// must remain in scope while the proxy is in use.
void Set(const b2Shape* shape, int32 index);
/// Initialize the proxy using a vertex cloud and radius. The vertices
/// must remain in scope while the proxy is in use.
void Set(const b2Vec2* vertices, int32 count, float radius);
/// Get the supporting vertex index in the given direction.
int32 GetSupport(const b2Vec2& d) const;
/// Get the supporting vertex in the given direction.
const b2Vec2& GetSupportVertex(const b2Vec2& d) const;
/// Get the vertex count.
int32 GetVertexCount() const;
/// Get a vertex by index. Used by b2Distance.
const b2Vec2& GetVertex(int32 index) const;
b2Vec2 m_buffer[2];
const b2Vec2* m_vertices;
int32 m_count;
float m_radius;
};
/// Used to warm start b2Distance.
/// Set count to zero on first call.
struct B2_API b2SimplexCache
{
float metric; ///< length or area
uint16 count;
uint8 indexA[3]; ///< vertices on shape A
uint8 indexB[3]; ///< vertices on shape B
};
/// Input for b2Distance.
/// You have to option to use the shape radii
/// in the computation. Even
struct B2_API b2DistanceInput
{
b2DistanceProxy proxyA;
b2DistanceProxy proxyB;
b2Transform transformA;
b2Transform transformB;
bool useRadii;
};
/// Output for b2Distance.
struct B2_API b2DistanceOutput
{
b2Vec2 pointA; ///< closest point on shapeA
b2Vec2 pointB; ///< closest point on shapeB
float distance;
int32 iterations; ///< number of GJK iterations used
};
/// Compute the closest points between two shapes. Supports any combination of:
/// b2CircleShape, b2PolygonShape, b2EdgeShape. The simplex cache is input/output.
/// On the first call set b2SimplexCache.count to zero.
B2_API void b2Distance(b2DistanceOutput* output,
b2SimplexCache* cache,
const b2DistanceInput* input);
/// Input parameters for b2ShapeCast
struct B2_API b2ShapeCastInput
{
b2DistanceProxy proxyA;
b2DistanceProxy proxyB;
b2Transform transformA;
b2Transform transformB;
b2Vec2 translationB;
};
/// Output results for b2ShapeCast
struct B2_API b2ShapeCastOutput
{
b2Vec2 point;
b2Vec2 normal;
float lambda;
int32 iterations;
};
/// Perform a linear shape cast of shape B moving and shape A fixed. Determines the hit point, normal, and translation fraction.
/// @returns true if hit, false if there is no hit or an initial overlap
B2_API bool b2ShapeCast(b2ShapeCastOutput* output, const b2ShapeCastInput* input);
//////////////////////////////////////////////////////////////////////////
inline int32 b2DistanceProxy::GetVertexCount() const
{
return m_count;
}
inline const b2Vec2& b2DistanceProxy::GetVertex(int32 index) const
{
b2Assert(0 <= index && index < m_count);
return m_vertices[index];
}
inline int32 b2DistanceProxy::GetSupport(const b2Vec2& d) const
{
int32 bestIndex = 0;
float bestValue = b2Dot(m_vertices[0], d);
for (int32 i = 1; i < m_count; ++i)
{
float value = b2Dot(m_vertices[i], d);
if (value > bestValue)
{
bestIndex = i;
bestValue = value;
}
}
return bestIndex;
}
inline const b2Vec2& b2DistanceProxy::GetSupportVertex(const b2Vec2& d) const
{
int32 bestIndex = 0;
float bestValue = b2Dot(m_vertices[0], d);
for (int32 i = 1; i < m_count; ++i)
{
float value = b2Dot(m_vertices[i], d);
if (value > bestValue)
{
bestIndex = i;
bestValue = value;
}
}
return m_vertices[bestIndex];
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_rope.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_ROPE_H
#define B2_ROPE_H
#include "b2_api.h"
#include "b2_math.h"
class b2Draw;
struct b2RopeStretch;
struct b2RopeBend;
enum b2StretchingModel
{
b2_pbdStretchingModel,
b2_xpbdStretchingModel
};
enum b2BendingModel
{
b2_springAngleBendingModel = 0,
b2_pbdAngleBendingModel,
b2_xpbdAngleBendingModel,
b2_pbdDistanceBendingModel,
b2_pbdHeightBendingModel,
b2_pbdTriangleBendingModel
};
///
struct B2_API b2RopeTuning
{
b2RopeTuning()
{
stretchingModel = b2_pbdStretchingModel;
bendingModel = b2_pbdAngleBendingModel;
damping = 0.0f;
stretchStiffness = 1.0f;
stretchHertz = 1.0f;
stretchDamping = 0.0f;
bendStiffness = 0.5f;
bendHertz = 1.0f;
bendDamping = 0.0f;
isometric = false;
fixedEffectiveMass = false;
warmStart = false;
}
b2StretchingModel stretchingModel;
b2BendingModel bendingModel;
float damping;
float stretchStiffness;
float stretchHertz;
float stretchDamping;
float bendStiffness;
float bendHertz;
float bendDamping;
bool isometric;
bool fixedEffectiveMass;
bool warmStart;
};
///
struct B2_API b2RopeDef
{
b2RopeDef()
{
position.SetZero();
vertices = nullptr;
count = 0;
masses = nullptr;
gravity.SetZero();
}
b2Vec2 position;
b2Vec2* vertices;
int32 count;
float* masses;
b2Vec2 gravity;
b2RopeTuning tuning;
};
///
class B2_API b2Rope
{
public:
b2Rope();
~b2Rope();
///
void Create(const b2RopeDef& def);
///
void SetTuning(const b2RopeTuning& tuning);
///
void Step(float timeStep, int32 iterations, const b2Vec2& position);
///
void Reset(const b2Vec2& position);
///
void Draw(b2Draw* draw) const;
private:
void SolveStretch_PBD();
void SolveStretch_XPBD(float dt);
void SolveBend_PBD_Angle();
void SolveBend_XPBD_Angle(float dt);
void SolveBend_PBD_Distance();
void SolveBend_PBD_Height();
void SolveBend_PBD_Triangle();
void ApplyBendForces(float dt);
b2Vec2 m_position;
int32 m_count;
int32 m_stretchCount;
int32 m_bendCount;
b2RopeStretch* m_stretchConstraints;
b2RopeBend* m_bendConstraints;
b2Vec2* m_bindPositions;
b2Vec2* m_ps;
b2Vec2* m_p0s;
b2Vec2* m_vs;
float* m_invMasses;
b2Vec2 m_gravity;
b2RopeTuning m_tuning;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_collision.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_COLLISION_H
#define B2_COLLISION_H
#include <limits.h>
#include "b2_api.h"
#include "b2_math.h"
/// @file
/// Structures and functions used for computing contact points, distance
/// queries, and TOI queries.
class b2Shape;
class b2CircleShape;
class b2EdgeShape;
class b2PolygonShape;
const uint8 b2_nullFeature = UCHAR_MAX;
/// The features that intersect to form the contact point
/// This must be 4 bytes or less.
struct B2_API b2ContactFeature
{
enum Type
{
e_vertex = 0,
e_face = 1
};
uint8 indexA; ///< Feature index on shapeA
uint8 indexB; ///< Feature index on shapeB
uint8 typeA; ///< The feature type on shapeA
uint8 typeB; ///< The feature type on shapeB
};
/// Contact ids to facilitate warm starting.
union B2_API b2ContactID
{
b2ContactFeature cf;
uint32 key; ///< Used to quickly compare contact ids.
};
/// A manifold point is a contact point belonging to a contact
/// manifold. It holds details related to the geometry and dynamics
/// of the contact points.
/// The local point usage depends on the manifold type:
/// -e_circles: the local center of circleB
/// -e_faceA: the local center of cirlceB or the clip point of polygonB
/// -e_faceB: the clip point of polygonA
/// This structure is stored across time steps, so we keep it small.
/// Note: the impulses are used for internal caching and may not
/// provide reliable contact forces, especially for high speed collisions.
struct B2_API b2ManifoldPoint
{
b2Vec2 localPoint; ///< usage depends on manifold type
float normalImpulse; ///< the non-penetration impulse
float tangentImpulse; ///< the friction impulse
b2ContactID id; ///< uniquely identifies a contact point between two shapes
};
/// A manifold for two touching convex shapes.
/// Box2D supports multiple types of contact:
/// - clip point versus plane with radius
/// - point versus point with radius (circles)
/// The local point usage depends on the manifold type:
/// -e_circles: the local center of circleA
/// -e_faceA: the center of faceA
/// -e_faceB: the center of faceB
/// Similarly the local normal usage:
/// -e_circles: not used
/// -e_faceA: the normal on polygonA
/// -e_faceB: the normal on polygonB
/// We store contacts in this way so that position correction can
/// account for movement, which is critical for continuous physics.
/// All contact scenarios must be expressed in one of these types.
/// This structure is stored across time steps, so we keep it small.
struct B2_API b2Manifold
{
enum Type
{
e_circles,
e_faceA,
e_faceB
};
b2ManifoldPoint points[b2_maxManifoldPoints]; ///< the points of contact
b2Vec2 localNormal; ///< not use for Type::e_points
b2Vec2 localPoint; ///< usage depends on manifold type
Type type;
int32 pointCount; ///< the number of manifold points
};
/// This is used to compute the current state of a contact manifold.
struct B2_API b2WorldManifold
{
/// Evaluate the manifold with supplied transforms. This assumes
/// modest motion from the original state. This does not change the
/// point count, impulses, etc. The radii must come from the shapes
/// that generated the manifold.
void Initialize(const b2Manifold* manifold,
const b2Transform& xfA, float radiusA,
const b2Transform& xfB, float radiusB);
b2Vec2 normal; ///< world vector pointing from A to B
b2Vec2 points[b2_maxManifoldPoints]; ///< world contact point (point of intersection)
float separations[b2_maxManifoldPoints]; ///< a negative value indicates overlap, in meters
};
/// This is used for determining the state of contact points.
enum b2PointState
{
b2_nullState, ///< point does not exist
b2_addState, ///< point was added in the update
b2_persistState, ///< point persisted across the update
b2_removeState ///< point was removed in the update
};
/// Compute the point states given two manifolds. The states pertain to the transition from manifold1
/// to manifold2. So state1 is either persist or remove while state2 is either add or persist.
B2_API void b2GetPointStates(b2PointState state1[b2_maxManifoldPoints], b2PointState state2[b2_maxManifoldPoints],
const b2Manifold* manifold1, const b2Manifold* manifold2);
/// Used for computing contact manifolds.
struct B2_API b2ClipVertex
{
b2Vec2 v;
b2ContactID id;
};
/// Ray-cast input data. The ray extends from p1 to p1 + maxFraction * (p2 - p1).
struct B2_API b2RayCastInput
{
b2Vec2 p1, p2;
float maxFraction;
};
/// Ray-cast output data. The ray hits at p1 + fraction * (p2 - p1), where p1 and p2
/// come from b2RayCastInput.
struct B2_API b2RayCastOutput
{
b2Vec2 normal;
float fraction;
};
/// An axis aligned bounding box.
struct B2_API b2AABB
{
/// Verify that the bounds are sorted.
bool IsValid() const;
/// Get the center of the AABB.
b2Vec2 GetCenter() const
{
return 0.5f * (lowerBound + upperBound);
}
/// Get the extents of the AABB (half-widths).
b2Vec2 GetExtents() const
{
return 0.5f * (upperBound - lowerBound);
}
/// Get the perimeter length
float GetPerimeter() const
{
float wx = upperBound.x - lowerBound.x;
float wy = upperBound.y - lowerBound.y;
return 2.0f * (wx + wy);
}
/// Combine an AABB into this one.
void Combine(const b2AABB& aabb)
{
lowerBound = b2Min(lowerBound, aabb.lowerBound);
upperBound = b2Max(upperBound, aabb.upperBound);
}
/// Combine two AABBs into this one.
void Combine(const b2AABB& aabb1, const b2AABB& aabb2)
{
lowerBound = b2Min(aabb1.lowerBound, aabb2.lowerBound);
upperBound = b2Max(aabb1.upperBound, aabb2.upperBound);
}
/// Does this aabb contain the provided AABB.
bool Contains(const b2AABB& aabb) const
{
bool result = true;
result = result && lowerBound.x <= aabb.lowerBound.x;
result = result && lowerBound.y <= aabb.lowerBound.y;
result = result && aabb.upperBound.x <= upperBound.x;
result = result && aabb.upperBound.y <= upperBound.y;
return result;
}
bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input) const;
b2Vec2 lowerBound; ///< the lower vertex
b2Vec2 upperBound; ///< the upper vertex
};
/// Compute the collision manifold between two circles.
B2_API void b2CollideCircles(b2Manifold* manifold,
const b2CircleShape* circleA, const b2Transform& xfA,
const b2CircleShape* circleB, const b2Transform& xfB);
/// Compute the collision manifold between a polygon and a circle.
B2_API void b2CollidePolygonAndCircle(b2Manifold* manifold,
const b2PolygonShape* polygonA, const b2Transform& xfA,
const b2CircleShape* circleB, const b2Transform& xfB);
/// Compute the collision manifold between two polygons.
B2_API void b2CollidePolygons(b2Manifold* manifold,
const b2PolygonShape* polygonA, const b2Transform& xfA,
const b2PolygonShape* polygonB, const b2Transform& xfB);
/// Compute the collision manifold between an edge and a circle.
B2_API void b2CollideEdgeAndCircle(b2Manifold* manifold,
const b2EdgeShape* polygonA, const b2Transform& xfA,
const b2CircleShape* circleB, const b2Transform& xfB);
/// Compute the collision manifold between an edge and a polygon.
B2_API void b2CollideEdgeAndPolygon(b2Manifold* manifold,
const b2EdgeShape* edgeA, const b2Transform& xfA,
const b2PolygonShape* polygonB, const b2Transform& xfB);
/// Clipping for contact manifolds.
B2_API int32 b2ClipSegmentToLine(b2ClipVertex vOut[2], const b2ClipVertex vIn[2],
const b2Vec2& normal, float offset, int32 vertexIndexA);
/// Determine if two generic shapes overlap.
B2_API bool b2TestOverlap( const b2Shape* shapeA, int32 indexA,
const b2Shape* shapeB, int32 indexB,
const b2Transform& xfA, const b2Transform& xfB);
/// Convex hull used for polygon collision
struct b2Hull
{
b2Vec2 points[b2_maxPolygonVertices];
int32 count;
};
/// Compute the convex hull of a set of points. Returns an empty hull if it fails.
/// Some failure cases:
/// - all points very close together
/// - all points on a line
/// - less than 3 points
/// - more than b2_maxPolygonVertices points
/// This welds close points and removes collinear points.
b2Hull b2ComputeHull(const b2Vec2* points, int32 count);
/// This determines if a hull is valid. Checks for:
/// - convexity
/// - collinear points
/// This is expensive and should not be called at runtime.
bool b2ValidateHull(const b2Hull& hull);
// ---------------- Inline Functions ------------------------------------------
inline bool b2AABB::IsValid() const
{
b2Vec2 d = upperBound - lowerBound;
bool valid = d.x >= 0.0f && d.y >= 0.0f;
valid = valid && lowerBound.IsValid() && upperBound.IsValid();
return valid;
}
inline bool b2TestOverlap(const b2AABB& a, const b2AABB& b)
{
b2Vec2 d1, d2;
d1 = b.lowerBound - a.upperBound;
d2 = a.lowerBound - b.upperBound;
if (d1.x > 0.0f || d1.y > 0.0f)
return false;
if (d2.x > 0.0f || d2.y > 0.0f)
return false;
return true;
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_math.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_MATH_H
#define B2_MATH_H
#include <math.h>
#include "b2_api.h"
#include "b2_settings.h"
/// This function is used to ensure that a floating point number is not a NaN or infinity.
inline bool b2IsValid(float x)
{
return isfinite(x);
}
#define b2Sqrt(x) sqrtf(x)
#define b2Atan2(y, x) atan2f(y, x)
/// A 2D column vector.
struct B2_API b2Vec2
{
/// Default constructor does nothing (for performance).
b2Vec2() = default;
/// Construct using coordinates.
b2Vec2(float xIn, float yIn) : x(xIn), y(yIn) {}
/// Set this vector to all zeros.
void SetZero() { x = 0.0f; y = 0.0f; }
/// Set this vector to some specified coordinates.
void Set(float x_, float y_) { x = x_; y = y_; }
/// Negate this vector.
b2Vec2 operator -() const { b2Vec2 v; v.Set(-x, -y); return v; }
/// Read from and indexed element.
float operator () (int32 i) const
{
return (&x)[i];
}
/// Write to an indexed element.
float& operator () (int32 i)
{
return (&x)[i];
}
/// Add a vector to this vector.
void operator += (const b2Vec2& v)
{
x += v.x; y += v.y;
}
/// Subtract a vector from this vector.
void operator -= (const b2Vec2& v)
{
x -= v.x; y -= v.y;
}
/// Multiply this vector by a scalar.
void operator *= (float a)
{
x *= a; y *= a;
}
/// Get the length of this vector (the norm).
float Length() const
{
return b2Sqrt(x * x + y * y);
}
/// Get the length squared. For performance, use this instead of
/// b2Vec2::Length (if possible).
float LengthSquared() const
{
return x * x + y * y;
}
/// Convert this vector into a unit vector. Returns the length.
float Normalize()
{
float length = Length();
if (length < b2_epsilon)
{
return 0.0f;
}
float invLength = 1.0f / length;
x *= invLength;
y *= invLength;
return length;
}
/// Does this vector contain finite coordinates?
bool IsValid() const
{
return b2IsValid(x) && b2IsValid(y);
}
/// Get the skew vector such that dot(skew_vec, other) == cross(vec, other)
b2Vec2 Skew() const
{
return b2Vec2(-y, x);
}
float x, y;
};
/// A 2D column vector with 3 elements.
struct B2_API b2Vec3
{
/// Default constructor does nothing (for performance).
b2Vec3() = default;
/// Construct using coordinates.
b2Vec3(float xIn, float yIn, float zIn) : x(xIn), y(yIn), z(zIn) {}
/// Set this vector to all zeros.
void SetZero() { x = 0.0f; y = 0.0f; z = 0.0f; }
/// Set this vector to some specified coordinates.
void Set(float x_, float y_, float z_) { x = x_; y = y_; z = z_; }
/// Negate this vector.
b2Vec3 operator -() const { b2Vec3 v; v.Set(-x, -y, -z); return v; }
/// Add a vector to this vector.
void operator += (const b2Vec3& v)
{
x += v.x; y += v.y; z += v.z;
}
/// Subtract a vector from this vector.
void operator -= (const b2Vec3& v)
{
x -= v.x; y -= v.y; z -= v.z;
}
/// Multiply this vector by a scalar.
void operator *= (float s)
{
x *= s; y *= s; z *= s;
}
float x, y, z;
};
/// A 2-by-2 matrix. Stored in column-major order.
struct B2_API b2Mat22
{
/// The default constructor does nothing (for performance).
b2Mat22() = default;
/// Construct this matrix using columns.
b2Mat22(const b2Vec2& c1, const b2Vec2& c2)
{
ex = c1;
ey = c2;
}
/// Construct this matrix using scalars.
b2Mat22(float a11, float a12, float a21, float a22)
{
ex.x = a11; ex.y = a21;
ey.x = a12; ey.y = a22;
}
/// Initialize this matrix using columns.
void Set(const b2Vec2& c1, const b2Vec2& c2)
{
ex = c1;
ey = c2;
}
/// Set this to the identity matrix.
void SetIdentity()
{
ex.x = 1.0f; ey.x = 0.0f;
ex.y = 0.0f; ey.y = 1.0f;
}
/// Set this matrix to all zeros.
void SetZero()
{
ex.x = 0.0f; ey.x = 0.0f;
ex.y = 0.0f; ey.y = 0.0f;
}
b2Mat22 GetInverse() const
{
float a = ex.x, b = ey.x, c = ex.y, d = ey.y;
b2Mat22 B;
float det = a * d - b * c;
if (det != 0.0f)
{
det = 1.0f / det;
}
B.ex.x = det * d; B.ey.x = -det * b;
B.ex.y = -det * c; B.ey.y = det * a;
return B;
}
/// Solve A * x = b, where b is a column vector. This is more efficient
/// than computing the inverse in one-shot cases.
b2Vec2 Solve(const b2Vec2& b) const
{
float a11 = ex.x, a12 = ey.x, a21 = ex.y, a22 = ey.y;
float det = a11 * a22 - a12 * a21;
if (det != 0.0f)
{
det = 1.0f / det;
}
b2Vec2 x;
x.x = det * (a22 * b.x - a12 * b.y);
x.y = det * (a11 * b.y - a21 * b.x);
return x;
}
b2Vec2 ex, ey;
};
/// A 3-by-3 matrix. Stored in column-major order.
struct B2_API b2Mat33
{
/// The default constructor does nothing (for performance).
b2Mat33() = default;
/// Construct this matrix using columns.
b2Mat33(const b2Vec3& c1, const b2Vec3& c2, const b2Vec3& c3)
{
ex = c1;
ey = c2;
ez = c3;
}
/// Set this matrix to all zeros.
void SetZero()
{
ex.SetZero();
ey.SetZero();
ez.SetZero();
}
/// Solve A * x = b, where b is a column vector. This is more efficient
/// than computing the inverse in one-shot cases.
b2Vec3 Solve33(const b2Vec3& b) const;
/// Solve A * x = b, where b is a column vector. This is more efficient
/// than computing the inverse in one-shot cases. Solve only the upper
/// 2-by-2 matrix equation.
b2Vec2 Solve22(const b2Vec2& b) const;
/// Get the inverse of this matrix as a 2-by-2.
/// Returns the zero matrix if singular.
void GetInverse22(b2Mat33* M) const;
/// Get the symmetric inverse of this matrix as a 3-by-3.
/// Returns the zero matrix if singular.
void GetSymInverse33(b2Mat33* M) const;
b2Vec3 ex, ey, ez;
};
/// Rotation
struct B2_API b2Rot
{
b2Rot() = default;
/// Initialize from an angle in radians
explicit b2Rot(float angle)
{
/// TODO_ERIN optimize
s = sinf(angle);
c = cosf(angle);
}
/// Set using an angle in radians.
void Set(float angle)
{
/// TODO_ERIN optimize
s = sinf(angle);
c = cosf(angle);
}
/// Set to the identity rotation
void SetIdentity()
{
s = 0.0f;
c = 1.0f;
}
/// Get the angle in radians
float GetAngle() const
{
return b2Atan2(s, c);
}
/// Get the x-axis
b2Vec2 GetXAxis() const
{
return b2Vec2(c, s);
}
/// Get the u-axis
b2Vec2 GetYAxis() const
{
return b2Vec2(-s, c);
}
/// Sine and cosine
float s, c;
};
/// A transform contains translation and rotation. It is used to represent
/// the position and orientation of rigid frames.
struct B2_API b2Transform
{
/// The default constructor does nothing.
b2Transform() = default;
/// Initialize using a position vector and a rotation.
b2Transform(const b2Vec2& position, const b2Rot& rotation) : p(position), q(rotation) {}
/// Set this to the identity transform.
void SetIdentity()
{
p.SetZero();
q.SetIdentity();
}
/// Set this based on the position and angle.
void Set(const b2Vec2& position, float angle)
{
p = position;
q.Set(angle);
}
b2Vec2 p;
b2Rot q;
};
/// This describes the motion of a body/shape for TOI computation.
/// Shapes are defined with respect to the body origin, which may
/// no coincide with the center of mass. However, to support dynamics
/// we must interpolate the center of mass position.
struct B2_API b2Sweep
{
b2Sweep() = default;
/// Get the interpolated transform at a specific time.
/// @param transform the output transform
/// @param beta is a factor in [0,1], where 0 indicates alpha0.
void GetTransform(b2Transform* transform, float beta) const;
/// Advance the sweep forward, yielding a new initial state.
/// @param alpha the new initial time.
void Advance(float alpha);
/// Normalize the angles.
void Normalize();
b2Vec2 localCenter; ///< local center of mass position
b2Vec2 c0, c; ///< center world positions
float a0, a; ///< world angles
/// Fraction of the current time step in the range [0,1]
/// c0 and a0 are the positions at alpha0.
float alpha0;
};
/// Useful constant
extern B2_API const b2Vec2 b2Vec2_zero;
/// Perform the dot product on two vectors.
inline float b2Dot(const b2Vec2& a, const b2Vec2& b)
{
return a.x * b.x + a.y * b.y;
}
/// Perform the cross product on two vectors. In 2D this produces a scalar.
inline float b2Cross(const b2Vec2& a, const b2Vec2& b)
{
return a.x * b.y - a.y * b.x;
}
/// Perform the cross product on a vector and a scalar. In 2D this produces
/// a vector.
inline b2Vec2 b2Cross(const b2Vec2& a, float s)
{
return b2Vec2(s * a.y, -s * a.x);
}
/// Perform the cross product on a scalar and a vector. In 2D this produces
/// a vector.
inline b2Vec2 b2Cross(float s, const b2Vec2& a)
{
return b2Vec2(-s * a.y, s * a.x);
}
/// Multiply a matrix times a vector. If a rotation matrix is provided,
/// then this transforms the vector from one frame to another.
inline b2Vec2 b2Mul(const b2Mat22& A, const b2Vec2& v)
{
return b2Vec2(A.ex.x * v.x + A.ey.x * v.y, A.ex.y * v.x + A.ey.y * v.y);
}
/// Multiply a matrix transpose times a vector. If a rotation matrix is provided,
/// then this transforms the vector from one frame to another (inverse transform).
inline b2Vec2 b2MulT(const b2Mat22& A, const b2Vec2& v)
{
return b2Vec2(b2Dot(v, A.ex), b2Dot(v, A.ey));
}
/// Add two vectors component-wise.
inline b2Vec2 operator + (const b2Vec2& a, const b2Vec2& b)
{
return b2Vec2(a.x + b.x, a.y + b.y);
}
/// Subtract two vectors component-wise.
inline b2Vec2 operator - (const b2Vec2& a, const b2Vec2& b)
{
return b2Vec2(a.x - b.x, a.y - b.y);
}
inline b2Vec2 operator * (float s, const b2Vec2& a)
{
return b2Vec2(s * a.x, s * a.y);
}
inline bool operator == (const b2Vec2& a, const b2Vec2& b)
{
return a.x == b.x && a.y == b.y;
}
inline bool operator != (const b2Vec2& a, const b2Vec2& b)
{
return a.x != b.x || a.y != b.y;
}
inline float b2Distance(const b2Vec2& a, const b2Vec2& b)
{
b2Vec2 c = a - b;
return c.Length();
}
inline float b2DistanceSquared(const b2Vec2& a, const b2Vec2& b)
{
b2Vec2 c = a - b;
return b2Dot(c, c);
}
inline b2Vec3 operator * (float s, const b2Vec3& a)
{
return b2Vec3(s * a.x, s * a.y, s * a.z);
}
/// Add two vectors component-wise.
inline b2Vec3 operator + (const b2Vec3& a, const b2Vec3& b)
{
return b2Vec3(a.x + b.x, a.y + b.y, a.z + b.z);
}
/// Subtract two vectors component-wise.
inline b2Vec3 operator - (const b2Vec3& a, const b2Vec3& b)
{
return b2Vec3(a.x - b.x, a.y - b.y, a.z - b.z);
}
/// Perform the dot product on two vectors.
inline float b2Dot(const b2Vec3& a, const b2Vec3& b)
{
return a.x * b.x + a.y * b.y + a.z * b.z;
}
/// Perform the cross product on two vectors.
inline b2Vec3 b2Cross(const b2Vec3& a, const b2Vec3& b)
{
return b2Vec3(a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - a.y * b.x);
}
inline b2Mat22 operator + (const b2Mat22& A, const b2Mat22& B)
{
return b2Mat22(A.ex + B.ex, A.ey + B.ey);
}
// A * B
inline b2Mat22 b2Mul(const b2Mat22& A, const b2Mat22& B)
{
return b2Mat22(b2Mul(A, B.ex), b2Mul(A, B.ey));
}
// A^T * B
inline b2Mat22 b2MulT(const b2Mat22& A, const b2Mat22& B)
{
b2Vec2 c1(b2Dot(A.ex, B.ex), b2Dot(A.ey, B.ex));
b2Vec2 c2(b2Dot(A.ex, B.ey), b2Dot(A.ey, B.ey));
return b2Mat22(c1, c2);
}
/// Multiply a matrix times a vector.
inline b2Vec3 b2Mul(const b2Mat33& A, const b2Vec3& v)
{
return v.x * A.ex + v.y * A.ey + v.z * A.ez;
}
/// Multiply a matrix times a vector.
inline b2Vec2 b2Mul22(const b2Mat33& A, const b2Vec2& v)
{
return b2Vec2(A.ex.x * v.x + A.ey.x * v.y, A.ex.y * v.x + A.ey.y * v.y);
}
/// Multiply two rotations: q * r
inline b2Rot b2Mul(const b2Rot& q, const b2Rot& r)
{
// [qc -qs] * [rc -rs] = [qc*rc-qs*rs -qc*rs-qs*rc]
// [qs qc] [rs rc] [qs*rc+qc*rs -qs*rs+qc*rc]
// s = qs * rc + qc * rs
// c = qc * rc - qs * rs
b2Rot qr;
qr.s = q.s * r.c + q.c * r.s;
qr.c = q.c * r.c - q.s * r.s;
return qr;
}
/// Transpose multiply two rotations: qT * r
inline b2Rot b2MulT(const b2Rot& q, const b2Rot& r)
{
// [ qc qs] * [rc -rs] = [qc*rc+qs*rs -qc*rs+qs*rc]
// [-qs qc] [rs rc] [-qs*rc+qc*rs qs*rs+qc*rc]
// s = qc * rs - qs * rc
// c = qc * rc + qs * rs
b2Rot qr;
qr.s = q.c * r.s - q.s * r.c;
qr.c = q.c * r.c + q.s * r.s;
return qr;
}
/// Rotate a vector
inline b2Vec2 b2Mul(const b2Rot& q, const b2Vec2& v)
{
return b2Vec2(q.c * v.x - q.s * v.y, q.s * v.x + q.c * v.y);
}
/// Inverse rotate a vector
inline b2Vec2 b2MulT(const b2Rot& q, const b2Vec2& v)
{
return b2Vec2(q.c * v.x + q.s * v.y, -q.s * v.x + q.c * v.y);
}
inline b2Vec2 b2Mul(const b2Transform& T, const b2Vec2& v)
{
float x = (T.q.c * v.x - T.q.s * v.y) + T.p.x;
float y = (T.q.s * v.x + T.q.c * v.y) + T.p.y;
return b2Vec2(x, y);
}
inline b2Vec2 b2MulT(const b2Transform& T, const b2Vec2& v)
{
float px = v.x - T.p.x;
float py = v.y - T.p.y;
float x = (T.q.c * px + T.q.s * py);
float y = (-T.q.s * px + T.q.c * py);
return b2Vec2(x, y);
}
// v2 = A.q.Rot(B.q.Rot(v1) + B.p) + A.p
// = (A.q * B.q).Rot(v1) + A.q.Rot(B.p) + A.p
inline b2Transform b2Mul(const b2Transform& A, const b2Transform& B)
{
b2Transform C;
C.q = b2Mul(A.q, B.q);
C.p = b2Mul(A.q, B.p) + A.p;
return C;
}
// v2 = A.q' * (B.q * v1 + B.p - A.p)
// = A.q' * B.q * v1 + A.q' * (B.p - A.p)
inline b2Transform b2MulT(const b2Transform& A, const b2Transform& B)
{
b2Transform C;
C.q = b2MulT(A.q, B.q);
C.p = b2MulT(A.q, B.p - A.p);
return C;
}
template <typename T>
inline T b2Abs(T a)
{
return a > T(0) ? a : -a;
}
inline b2Vec2 b2Abs(const b2Vec2& a)
{
return b2Vec2(b2Abs(a.x), b2Abs(a.y));
}
inline b2Mat22 b2Abs(const b2Mat22& A)
{
return b2Mat22(b2Abs(A.ex), b2Abs(A.ey));
}
template <typename T>
inline T b2Min(T a, T b)
{
return a < b ? a : b;
}
inline b2Vec2 b2Min(const b2Vec2& a, const b2Vec2& b)
{
return b2Vec2(b2Min(a.x, b.x), b2Min(a.y, b.y));
}
template <typename T>
inline T b2Max(T a, T b)
{
return a > b ? a : b;
}
inline b2Vec2 b2Max(const b2Vec2& a, const b2Vec2& b)
{
return b2Vec2(b2Max(a.x, b.x), b2Max(a.y, b.y));
}
template <typename T>
inline T b2Clamp(T a, T low, T high)
{
return b2Max(low, b2Min(a, high));
}
inline b2Vec2 b2Clamp(const b2Vec2& a, const b2Vec2& low, const b2Vec2& high)
{
return b2Max(low, b2Min(a, high));
}
template<typename T> inline void b2Swap(T& a, T& b)
{
T tmp = a;
a = b;
b = tmp;
}
/// "Next Largest Power of 2
/// Given a binary integer value x, the next largest power of 2 can be computed by a SWAR algorithm
/// that recursively "folds" the upper bits into the lower bits. This process yields a bit vector with
/// the same most significant 1 as x, but all 1's below it. Adding 1 to that value yields the next
/// largest power of 2. For a 32-bit value:"
inline uint32 b2NextPowerOfTwo(uint32 x)
{
x |= (x >> 1);
x |= (x >> 2);
x |= (x >> 4);
x |= (x >> 8);
x |= (x >> 16);
return x + 1;
}
inline bool b2IsPowerOfTwo(uint32 x)
{
bool result = x > 0 && (x & (x - 1)) == 0;
return result;
}
// https://fgiesen.wordpress.com/2012/08/15/linear-interpolation-past-present-and-future/
inline void b2Sweep::GetTransform(b2Transform* xf, float beta) const
{
xf->p = (1.0f - beta) * c0 + beta * c;
float angle = (1.0f - beta) * a0 + beta * a;
xf->q.Set(angle);
// Shift to origin
xf->p -= b2Mul(xf->q, localCenter);
}
inline void b2Sweep::Advance(float alpha)
{
b2Assert(alpha0 < 1.0f);
float beta = (alpha - alpha0) / (1.0f - alpha0);
c0 += beta * (c - c0);
a0 += beta * (a - a0);
alpha0 = alpha;
}
/// Normalize an angle in radians to be between -pi and pi
inline void b2Sweep::Normalize()
{
float twoPi = 2.0f * b2_pi;
float d = twoPi * floorf(a0 / twoPi);
a0 -= d;
a -= d;
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_weld_joint.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_WELD_JOINT_H
#define B2_WELD_JOINT_H
#include "b2_api.h"
#include "b2_joint.h"
/// Weld joint definition. You need to specify local anchor points
/// where they are attached and the relative body angle. The position
/// of the anchor points is important for computing the reaction torque.
struct B2_API b2WeldJointDef : public b2JointDef
{
b2WeldJointDef()
{
type = e_weldJoint;
localAnchorA.Set(0.0f, 0.0f);
localAnchorB.Set(0.0f, 0.0f);
referenceAngle = 0.0f;
stiffness = 0.0f;
damping = 0.0f;
}
/// Initialize the bodies, anchors, reference angle, stiffness, and damping.
/// @param bodyA the first body connected by this joint
/// @param bodyB the second body connected by this joint
/// @param anchor the point of connection in world coordinates
void Initialize(b2Body* bodyA, b2Body* bodyB, const b2Vec2& anchor);
/// The local anchor point relative to bodyA's origin.
b2Vec2 localAnchorA;
/// The local anchor point relative to bodyB's origin.
b2Vec2 localAnchorB;
/// The bodyB angle minus bodyA angle in the reference state (radians).
float referenceAngle;
/// The rotational stiffness in N*m
/// Disable softness with a value of 0
float stiffness;
/// The rotational damping in N*m*s
float damping;
};
/// A weld joint essentially glues two bodies together. A weld joint may
/// distort somewhat because the island constraint solver is approximate.
class B2_API b2WeldJoint : public b2Joint
{
public:
b2Vec2 GetAnchorA() const override;
b2Vec2 GetAnchorB() const override;
b2Vec2 GetReactionForce(float inv_dt) const override;
float GetReactionTorque(float inv_dt) const override;
/// The local anchor point relative to bodyA's origin.
const b2Vec2& GetLocalAnchorA() const { return m_localAnchorA; }
/// The local anchor point relative to bodyB's origin.
const b2Vec2& GetLocalAnchorB() const { return m_localAnchorB; }
/// Get the reference angle.
float GetReferenceAngle() const { return m_referenceAngle; }
/// Set/get stiffness in N*m
void SetStiffness(float stiffness) { m_stiffness = stiffness; }
float GetStiffness() const { return m_stiffness; }
/// Set/get damping in N*m*s
void SetDamping(float damping) { m_damping = damping; }
float GetDamping() const { return m_damping; }
/// Dump to b2Log
void Dump() override;
protected:
friend class b2Joint;
b2WeldJoint(const b2WeldJointDef* def);
void InitVelocityConstraints(const b2SolverData& data) override;
void SolveVelocityConstraints(const b2SolverData& data) override;
bool SolvePositionConstraints(const b2SolverData& data) override;
float m_stiffness;
float m_damping;
float m_bias;
// Solver shared
b2Vec2 m_localAnchorA;
b2Vec2 m_localAnchorB;
float m_referenceAngle;
float m_gamma;
b2Vec3 m_impulse;
// Solver temp
int32 m_indexA;
int32 m_indexB;
b2Vec2 m_rA;
b2Vec2 m_rB;
b2Vec2 m_localCenterA;
b2Vec2 m_localCenterB;
float m_invMassA;
float m_invMassB;
float m_invIA;
float m_invIB;
b2Mat33 m_mass;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_joint.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_JOINT_H
#define B2_JOINT_H
#include "b2_api.h"
#include "b2_math.h"
class b2Body;
class b2Draw;
class b2Joint;
struct b2SolverData;
class b2BlockAllocator;
enum b2JointType
{
e_unknownJoint,
e_revoluteJoint,
e_prismaticJoint,
e_distanceJoint,
e_pulleyJoint,
e_mouseJoint,
e_gearJoint,
e_wheelJoint,
e_weldJoint,
e_frictionJoint,
e_motorJoint
};
struct B2_API b2Jacobian
{
b2Vec2 linear;
float angularA;
float angularB;
};
/// A joint edge is used to connect bodies and joints together
/// in a joint graph where each body is a node and each joint
/// is an edge. A joint edge belongs to a doubly linked list
/// maintained in each attached body. Each joint has two joint
/// nodes, one for each attached body.
struct B2_API b2JointEdge
{
b2Body* other; ///< provides quick access to the other body attached.
b2Joint* joint; ///< the joint
b2JointEdge* prev; ///< the previous joint edge in the body's joint list
b2JointEdge* next; ///< the next joint edge in the body's joint list
};
/// Joint definitions are used to construct joints.
struct B2_API b2JointDef
{
b2JointDef()
{
type = e_unknownJoint;
bodyA = nullptr;
bodyB = nullptr;
collideConnected = false;
}
/// The joint type is set automatically for concrete joint types.
b2JointType type;
/// Use this to attach application specific data to your joints.
b2JointUserData userData;
/// The first attached body.
b2Body* bodyA;
/// The second attached body.
b2Body* bodyB;
/// Set this flag to true if the attached bodies should collide.
bool collideConnected;
};
/// Utility to compute linear stiffness values from frequency and damping ratio
B2_API void b2LinearStiffness(float& stiffness, float& damping,
float frequencyHertz, float dampingRatio,
const b2Body* bodyA, const b2Body* bodyB);
/// Utility to compute rotational stiffness values frequency and damping ratio
B2_API void b2AngularStiffness(float& stiffness, float& damping,
float frequencyHertz, float dampingRatio,
const b2Body* bodyA, const b2Body* bodyB);
/// The base joint class. Joints are used to constraint two bodies together in
/// various fashions. Some joints also feature limits and motors.
class B2_API b2Joint
{
public:
/// Get the type of the concrete joint.
b2JointType GetType() const;
/// Get the first body attached to this joint.
b2Body* GetBodyA();
/// Get the second body attached to this joint.
b2Body* GetBodyB();
/// Get the anchor point on bodyA in world coordinates.
virtual b2Vec2 GetAnchorA() const = 0;
/// Get the anchor point on bodyB in world coordinates.
virtual b2Vec2 GetAnchorB() const = 0;
/// Get the reaction force on bodyB at the joint anchor in Newtons.
virtual b2Vec2 GetReactionForce(float inv_dt) const = 0;
/// Get the reaction torque on bodyB in N*m.
virtual float GetReactionTorque(float inv_dt) const = 0;
/// Get the next joint the world joint list.
b2Joint* GetNext();
const b2Joint* GetNext() const;
/// Get the user data pointer.
b2JointUserData& GetUserData();
const b2JointUserData& GetUserData() const;
/// Short-cut function to determine if either body is enabled.
bool IsEnabled() const;
/// Get collide connected.
/// Note: modifying the collide connect flag won't work correctly because
/// the flag is only checked when fixture AABBs begin to overlap.
bool GetCollideConnected() const;
/// Dump this joint to the log file.
virtual void Dump() { b2Dump("// Dump is not supported for this joint type.\n"); }
/// Shift the origin for any points stored in world coordinates.
virtual void ShiftOrigin(const b2Vec2& newOrigin) { B2_NOT_USED(newOrigin); }
/// Debug draw this joint
virtual void Draw(b2Draw* draw) const;
protected:
friend class b2World;
friend class b2Body;
friend class b2Island;
friend class b2GearJoint;
static b2Joint* Create(const b2JointDef* def, b2BlockAllocator* allocator);
static void Destroy(b2Joint* joint, b2BlockAllocator* allocator);
b2Joint(const b2JointDef* def);
virtual ~b2Joint() {}
virtual void InitVelocityConstraints(const b2SolverData& data) = 0;
virtual void SolveVelocityConstraints(const b2SolverData& data) = 0;
// This returns true if the position errors are within tolerance.
virtual bool SolvePositionConstraints(const b2SolverData& data) = 0;
b2JointType m_type;
b2Joint* m_prev;
b2Joint* m_next;
b2JointEdge m_edgeA;
b2JointEdge m_edgeB;
b2Body* m_bodyA;
b2Body* m_bodyB;
int32 m_index;
bool m_islandFlag;
bool m_collideConnected;
b2JointUserData m_userData;
};
inline b2JointType b2Joint::GetType() const
{
return m_type;
}
inline b2Body* b2Joint::GetBodyA()
{
return m_bodyA;
}
inline b2Body* b2Joint::GetBodyB()
{
return m_bodyB;
}
inline b2Joint* b2Joint::GetNext()
{
return m_next;
}
inline const b2Joint* b2Joint::GetNext() const
{
return m_next;
}
inline b2JointUserData& b2Joint::GetUserData()
{
return m_userData;
}
inline const b2JointUserData& b2Joint::GetUserData() const
{
return m_userData;
}
inline bool b2Joint::GetCollideConnected() const
{
return m_collideConnected;
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_growable_stack.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_GROWABLE_STACK_H
#define B2_GROWABLE_STACK_H
#include <string.h>
#include "b2_settings.h"
/// This is a growable LIFO stack with an initial capacity of N.
/// If the stack size exceeds the initial capacity, the heap is used
/// to increase the size of the stack.
template <typename T, int32 N>
class b2GrowableStack
{
public:
b2GrowableStack()
{
m_stack = m_array;
m_count = 0;
m_capacity = N;
}
~b2GrowableStack()
{
if (m_stack != m_array)
{
b2Free(m_stack);
m_stack = nullptr;
}
}
void Push(const T& element)
{
if (m_count == m_capacity)
{
T* old = m_stack;
m_capacity *= 2;
m_stack = (T*)b2Alloc(m_capacity * sizeof(T));
memcpy(m_stack, old, m_count * sizeof(T));
if (old != m_array)
{
b2Free(old);
}
}
m_stack[m_count] = element;
++m_count;
}
T Pop()
{
b2Assert(m_count > 0);
--m_count;
return m_stack[m_count];
}
int32 GetCount()
{
return m_count;
}
private:
T* m_stack;
T m_array[N];
int32 m_count;
int32 m_capacity;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/box2d.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef BOX2D_H
#define BOX2D_H
// These include files constitute the main Box2D API
#include "b2_settings.h"
#include "b2_draw.h"
#include "b2_timer.h"
#include "b2_chain_shape.h"
#include "b2_circle_shape.h"
#include "b2_edge_shape.h"
#include "b2_polygon_shape.h"
#include "b2_broad_phase.h"
#include "b2_dynamic_tree.h"
#include "b2_body.h"
#include "b2_contact.h"
#include "b2_fixture.h"
#include "b2_time_step.h"
#include "b2_world.h"
#include "b2_world_callbacks.h"
#include "b2_distance_joint.h"
#include "b2_friction_joint.h"
#include "b2_gear_joint.h"
#include "b2_motor_joint.h"
#include "b2_mouse_joint.h"
#include "b2_prismatic_joint.h"
#include "b2_pulley_joint.h"
#include "b2_revolute_joint.h"
#include "b2_weld_joint.h"
#include "b2_wheel_joint.h"
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_api.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_API_H
#define B2_API_H
#ifdef B2_SHARED
#if defined _WIN32 || defined __CYGWIN__
#ifdef box2d_EXPORTS
#ifdef __GNUC__
#define B2_API __attribute__ ((dllexport))
#else
#define B2_API __declspec(dllexport)
#endif
#else
#ifdef __GNUC__
#define B2_API __attribute__ ((dllimport))
#else
#define B2_API __declspec(dllimport)
#endif
#endif
#else
#if __GNUC__ >= 4
#define B2_API __attribute__ ((visibility ("default")))
#else
#define B2_API
#endif
#endif
#else
#define B2_API
#endif
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_wheel_joint.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_WHEEL_JOINT_H
#define B2_WHEEL_JOINT_H
#include "b2_api.h"
#include "b2_joint.h"
/// Wheel joint definition. This requires defining a line of
/// motion using an axis and an anchor point. The definition uses local
/// anchor points and a local axis so that the initial configuration
/// can violate the constraint slightly. The joint translation is zero
/// when the local anchor points coincide in world space. Using local
/// anchors and a local axis helps when saving and loading a game.
struct B2_API b2WheelJointDef : public b2JointDef
{
b2WheelJointDef()
{
type = e_wheelJoint;
localAnchorA.SetZero();
localAnchorB.SetZero();
localAxisA.Set(1.0f, 0.0f);
enableLimit = false;
lowerTranslation = 0.0f;
upperTranslation = 0.0f;
enableMotor = false;
maxMotorTorque = 0.0f;
motorSpeed = 0.0f;
stiffness = 0.0f;
damping = 0.0f;
}
/// Initialize the bodies, anchors, axis, and reference angle using the world
/// anchor and world axis.
void Initialize(b2Body* bodyA, b2Body* bodyB, const b2Vec2& anchor, const b2Vec2& axis);
/// The local anchor point relative to bodyA's origin.
b2Vec2 localAnchorA;
/// The local anchor point relative to bodyB's origin.
b2Vec2 localAnchorB;
/// The local translation axis in bodyA.
b2Vec2 localAxisA;
/// Enable/disable the joint limit.
bool enableLimit;
/// The lower translation limit, usually in meters.
float lowerTranslation;
/// The upper translation limit, usually in meters.
float upperTranslation;
/// Enable/disable the joint motor.
bool enableMotor;
/// The maximum motor torque, usually in N-m.
float maxMotorTorque;
/// The desired motor speed in radians per second.
float motorSpeed;
/// Suspension stiffness. Typically in units N/m.
float stiffness;
/// Suspension damping. Typically in units of N*s/m.
float damping;
};
/// A wheel joint. This joint provides two degrees of freedom: translation
/// along an axis fixed in bodyA and rotation in the plane. In other words, it is a point to
/// line constraint with a rotational motor and a linear spring/damper. The spring/damper is
/// initialized upon creation. This joint is designed for vehicle suspensions.
class B2_API b2WheelJoint : public b2Joint
{
public:
b2Vec2 GetAnchorA() const override;
b2Vec2 GetAnchorB() const override;
b2Vec2 GetReactionForce(float inv_dt) const override;
float GetReactionTorque(float inv_dt) const override;
/// The local anchor point relative to bodyA's origin.
const b2Vec2& GetLocalAnchorA() const { return m_localAnchorA; }
/// The local anchor point relative to bodyB's origin.
const b2Vec2& GetLocalAnchorB() const { return m_localAnchorB; }
/// The local joint axis relative to bodyA.
const b2Vec2& GetLocalAxisA() const { return m_localXAxisA; }
/// Get the current joint translation, usually in meters.
float GetJointTranslation() const;
/// Get the current joint linear speed, usually in meters per second.
float GetJointLinearSpeed() const;
/// Get the current joint angle in radians.
float GetJointAngle() const;
/// Get the current joint angular speed in radians per second.
float GetJointAngularSpeed() const;
/// Is the joint limit enabled?
bool IsLimitEnabled() const;
/// Enable/disable the joint translation limit.
void EnableLimit(bool flag);
/// Get the lower joint translation limit, usually in meters.
float GetLowerLimit() const;
/// Get the upper joint translation limit, usually in meters.
float GetUpperLimit() const;
/// Set the joint translation limits, usually in meters.
void SetLimits(float lower, float upper);
/// Is the joint motor enabled?
bool IsMotorEnabled() const;
/// Enable/disable the joint motor.
void EnableMotor(bool flag);
/// Set the motor speed, usually in radians per second.
void SetMotorSpeed(float speed);
/// Get the motor speed, usually in radians per second.
float GetMotorSpeed() const;
/// Set/Get the maximum motor force, usually in N-m.
void SetMaxMotorTorque(float torque);
float GetMaxMotorTorque() const;
/// Get the current motor torque given the inverse time step, usually in N-m.
float GetMotorTorque(float inv_dt) const;
/// Access spring stiffness
void SetStiffness(float stiffness);
float GetStiffness() const;
/// Access damping
void SetDamping(float damping);
float GetDamping() const;
/// Dump to b2Log
void Dump() override;
///
void Draw(b2Draw* draw) const override;
protected:
friend class b2Joint;
b2WheelJoint(const b2WheelJointDef* def);
void InitVelocityConstraints(const b2SolverData& data) override;
void SolveVelocityConstraints(const b2SolverData& data) override;
bool SolvePositionConstraints(const b2SolverData& data) override;
b2Vec2 m_localAnchorA;
b2Vec2 m_localAnchorB;
b2Vec2 m_localXAxisA;
b2Vec2 m_localYAxisA;
float m_impulse;
float m_motorImpulse;
float m_springImpulse;
float m_lowerImpulse;
float m_upperImpulse;
float m_translation;
float m_lowerTranslation;
float m_upperTranslation;
float m_maxMotorTorque;
float m_motorSpeed;
bool m_enableLimit;
bool m_enableMotor;
float m_stiffness;
float m_damping;
// Solver temp
int32 m_indexA;
int32 m_indexB;
b2Vec2 m_localCenterA;
b2Vec2 m_localCenterB;
float m_invMassA;
float m_invMassB;
float m_invIA;
float m_invIB;
b2Vec2 m_ax, m_ay;
float m_sAx, m_sBx;
float m_sAy, m_sBy;
float m_mass;
float m_motorMass;
float m_axialMass;
float m_springMass;
float m_bias;
float m_gamma;
};
inline float b2WheelJoint::GetMotorSpeed() const
{
return m_motorSpeed;
}
inline float b2WheelJoint::GetMaxMotorTorque() const
{
return m_maxMotorTorque;
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_draw.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_DRAW_H
#define B2_DRAW_H
#include "b2_api.h"
#include "b2_math.h"
/// Color for debug drawing. Each value has the range [0,1].
struct B2_API b2Color
{
b2Color() {}
b2Color(float rIn, float gIn, float bIn, float aIn = 1.0f)
{
r = rIn; g = gIn; b = bIn; a = aIn;
}
void Set(float rIn, float gIn, float bIn, float aIn = 1.0f)
{
r = rIn; g = gIn; b = bIn; a = aIn;
}
float r, g, b, a;
};
/// Implement and register this class with a b2World to provide debug drawing of physics
/// entities in your game.
class B2_API b2Draw
{
public:
b2Draw();
virtual ~b2Draw() {}
enum
{
e_shapeBit = 0x0001, ///< draw shapes
e_jointBit = 0x0002, ///< draw joint connections
e_aabbBit = 0x0004, ///< draw axis aligned bounding boxes
e_pairBit = 0x0008, ///< draw broad-phase pairs
e_centerOfMassBit = 0x0010 ///< draw center of mass frame
};
/// Set the drawing flags.
void SetFlags(uint32 flags);
/// Get the drawing flags.
uint32 GetFlags() const;
/// Append flags to the current flags.
void AppendFlags(uint32 flags);
/// Clear flags from the current flags.
void ClearFlags(uint32 flags);
/// Draw a closed polygon provided in CCW order.
virtual void DrawPolygon(const b2Vec2* vertices, int32 vertexCount, const b2Color& color) = 0;
/// Draw a solid closed polygon provided in CCW order.
virtual void DrawSolidPolygon(const b2Vec2* vertices, int32 vertexCount, const b2Color& color) = 0;
/// Draw a circle.
virtual void DrawCircle(const b2Vec2& center, float radius, const b2Color& color) = 0;
/// Draw a solid circle.
virtual void DrawSolidCircle(const b2Vec2& center, float radius, const b2Vec2& axis, const b2Color& color) = 0;
/// Draw a line segment.
virtual void DrawSegment(const b2Vec2& p1, const b2Vec2& p2, const b2Color& color) = 0;
/// Draw a transform. Choose your own length scale.
/// @param xf a transform.
virtual void DrawTransform(const b2Transform& xf) = 0;
/// Draw a point.
virtual void DrawPoint(const b2Vec2& p, float size, const b2Color& color) = 0;
protected:
uint32 m_drawFlags;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_contact.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_CONTACT_H
#define B2_CONTACT_H
#include "b2_api.h"
#include "b2_collision.h"
#include "b2_fixture.h"
#include "b2_math.h"
#include "b2_shape.h"
class b2Body;
class b2Contact;
class b2Fixture;
class b2World;
class b2BlockAllocator;
class b2StackAllocator;
class b2ContactListener;
/// Friction mixing law. The idea is to allow either fixture to drive the friction to zero.
/// For example, anything slides on ice.
inline float b2MixFriction(float friction1, float friction2)
{
return b2Sqrt(friction1 * friction2);
}
/// Restitution mixing law. The idea is allow for anything to bounce off an inelastic surface.
/// For example, a superball bounces on anything.
inline float b2MixRestitution(float restitution1, float restitution2)
{
return restitution1 > restitution2 ? restitution1 : restitution2;
}
/// Restitution mixing law. This picks the lowest value.
inline float b2MixRestitutionThreshold(float threshold1, float threshold2)
{
return threshold1 < threshold2 ? threshold1 : threshold2;
}
typedef b2Contact* b2ContactCreateFcn( b2Fixture* fixtureA, int32 indexA,
b2Fixture* fixtureB, int32 indexB,
b2BlockAllocator* allocator);
typedef void b2ContactDestroyFcn(b2Contact* contact, b2BlockAllocator* allocator);
struct B2_API b2ContactRegister
{
b2ContactCreateFcn* createFcn;
b2ContactDestroyFcn* destroyFcn;
bool primary;
};
/// A contact edge is used to connect bodies and contacts together
/// in a contact graph where each body is a node and each contact
/// is an edge. A contact edge belongs to a doubly linked list
/// maintained in each attached body. Each contact has two contact
/// nodes, one for each attached body.
struct B2_API b2ContactEdge
{
b2Body* other; ///< provides quick access to the other body attached.
b2Contact* contact; ///< the contact
b2ContactEdge* prev; ///< the previous contact edge in the body's contact list
b2ContactEdge* next; ///< the next contact edge in the body's contact list
};
/// The class manages contact between two shapes. A contact exists for each overlapping
/// AABB in the broad-phase (except if filtered). Therefore a contact object may exist
/// that has no contact points.
class B2_API b2Contact
{
public:
/// Get the contact manifold. Do not modify the manifold unless you understand the
/// internals of Box2D.
b2Manifold* GetManifold();
const b2Manifold* GetManifold() const;
/// Get the world manifold.
void GetWorldManifold(b2WorldManifold* worldManifold) const;
/// Is this contact touching?
bool IsTouching() const;
/// Enable/disable this contact. This can be used inside the pre-solve
/// contact listener. The contact is only disabled for the current
/// time step (or sub-step in continuous collisions).
void SetEnabled(bool flag);
/// Has this contact been disabled?
bool IsEnabled() const;
/// Get the next contact in the world's contact list.
b2Contact* GetNext();
const b2Contact* GetNext() const;
/// Get fixture A in this contact.
b2Fixture* GetFixtureA();
const b2Fixture* GetFixtureA() const;
/// Get the child primitive index for fixture A.
int32 GetChildIndexA() const;
/// Get fixture B in this contact.
b2Fixture* GetFixtureB();
const b2Fixture* GetFixtureB() const;
/// Get the child primitive index for fixture B.
int32 GetChildIndexB() const;
/// Override the default friction mixture. You can call this in b2ContactListener::PreSolve.
/// This value persists until set or reset.
void SetFriction(float friction);
/// Get the friction.
float GetFriction() const;
/// Reset the friction mixture to the default value.
void ResetFriction();
/// Override the default restitution mixture. You can call this in b2ContactListener::PreSolve.
/// The value persists until you set or reset.
void SetRestitution(float restitution);
/// Get the restitution.
float GetRestitution() const;
/// Reset the restitution to the default value.
void ResetRestitution();
/// Override the default restitution velocity threshold mixture. You can call this in b2ContactListener::PreSolve.
/// The value persists until you set or reset.
void SetRestitutionThreshold(float threshold);
/// Get the restitution threshold.
float GetRestitutionThreshold() const;
/// Reset the restitution threshold to the default value.
void ResetRestitutionThreshold();
/// Set the desired tangent speed for a conveyor belt behavior. In meters per second.
void SetTangentSpeed(float speed);
/// Get the desired tangent speed. In meters per second.
float GetTangentSpeed() const;
/// Evaluate this contact with your own manifold and transforms.
virtual void Evaluate(b2Manifold* manifold, const b2Transform& xfA, const b2Transform& xfB) = 0;
protected:
friend class b2ContactManager;
friend class b2World;
friend class b2ContactSolver;
friend class b2Body;
friend class b2Fixture;
// Flags stored in m_flags
enum
{
// Used when crawling contact graph when forming islands.
e_islandFlag = 0x0001,
// Set when the shapes are touching.
e_touchingFlag = 0x0002,
// This contact can be disabled (by user)
e_enabledFlag = 0x0004,
// This contact needs filtering because a fixture filter was changed.
e_filterFlag = 0x0008,
// This bullet contact had a TOI event
e_bulletHitFlag = 0x0010,
// This contact has a valid TOI in m_toi
e_toiFlag = 0x0020
};
/// Flag this contact for filtering. Filtering will occur the next time step.
void FlagForFiltering();
static void AddType(b2ContactCreateFcn* createFcn, b2ContactDestroyFcn* destroyFcn,
b2Shape::Type typeA, b2Shape::Type typeB);
static void InitializeRegisters();
static b2Contact* Create(b2Fixture* fixtureA, int32 indexA, b2Fixture* fixtureB, int32 indexB, b2BlockAllocator* allocator);
static void Destroy(b2Contact* contact, b2Shape::Type typeA, b2Shape::Type typeB, b2BlockAllocator* allocator);
static void Destroy(b2Contact* contact, b2BlockAllocator* allocator);
b2Contact() : m_fixtureA(nullptr), m_fixtureB(nullptr) {}
b2Contact(b2Fixture* fixtureA, int32 indexA, b2Fixture* fixtureB, int32 indexB);
virtual ~b2Contact() {}
void Update(b2ContactListener* listener);
static b2ContactRegister s_registers[b2Shape::e_typeCount][b2Shape::e_typeCount];
static bool s_initialized;
uint32 m_flags;
// World pool and list pointers.
b2Contact* m_prev;
b2Contact* m_next;
// Nodes for connecting bodies.
b2ContactEdge m_nodeA;
b2ContactEdge m_nodeB;
b2Fixture* m_fixtureA;
b2Fixture* m_fixtureB;
int32 m_indexA;
int32 m_indexB;
b2Manifold m_manifold;
int32 m_toiCount;
float m_toi;
float m_friction;
float m_restitution;
float m_restitutionThreshold;
float m_tangentSpeed;
};
inline b2Manifold* b2Contact::GetManifold()
{
return &m_manifold;
}
inline const b2Manifold* b2Contact::GetManifold() const
{
return &m_manifold;
}
inline void b2Contact::GetWorldManifold(b2WorldManifold* worldManifold) const
{
const b2Body* bodyA = m_fixtureA->GetBody();
const b2Body* bodyB = m_fixtureB->GetBody();
const b2Shape* shapeA = m_fixtureA->GetShape();
const b2Shape* shapeB = m_fixtureB->GetShape();
worldManifold->Initialize(&m_manifold, bodyA->GetTransform(), shapeA->m_radius, bodyB->GetTransform(), shapeB->m_radius);
}
inline void b2Contact::SetEnabled(bool flag)
{
if (flag)
{
m_flags |= e_enabledFlag;
}
else
{
m_flags &= ~e_enabledFlag;
}
}
inline bool b2Contact::IsEnabled() const
{
return (m_flags & e_enabledFlag) == e_enabledFlag;
}
inline bool b2Contact::IsTouching() const
{
return (m_flags & e_touchingFlag) == e_touchingFlag;
}
inline b2Contact* b2Contact::GetNext()
{
return m_next;
}
inline const b2Contact* b2Contact::GetNext() const
{
return m_next;
}
inline b2Fixture* b2Contact::GetFixtureA()
{
return m_fixtureA;
}
inline const b2Fixture* b2Contact::GetFixtureA() const
{
return m_fixtureA;
}
inline b2Fixture* b2Contact::GetFixtureB()
{
return m_fixtureB;
}
inline int32 b2Contact::GetChildIndexA() const
{
return m_indexA;
}
inline const b2Fixture* b2Contact::GetFixtureB() const
{
return m_fixtureB;
}
inline int32 b2Contact::GetChildIndexB() const
{
return m_indexB;
}
inline void b2Contact::FlagForFiltering()
{
m_flags |= e_filterFlag;
}
inline void b2Contact::SetFriction(float friction)
{
m_friction = friction;
}
inline float b2Contact::GetFriction() const
{
return m_friction;
}
inline void b2Contact::ResetFriction()
{
m_friction = b2MixFriction(m_fixtureA->m_friction, m_fixtureB->m_friction);
}
inline void b2Contact::SetRestitution(float restitution)
{
m_restitution = restitution;
}
inline float b2Contact::GetRestitution() const
{
return m_restitution;
}
inline void b2Contact::ResetRestitution()
{
m_restitution = b2MixRestitution(m_fixtureA->m_restitution, m_fixtureB->m_restitution);
}
inline void b2Contact::SetRestitutionThreshold(float threshold)
{
m_restitutionThreshold = threshold;
}
inline float b2Contact::GetRestitutionThreshold() const
{
return m_restitutionThreshold;
}
inline void b2Contact::ResetRestitutionThreshold()
{
m_restitutionThreshold = b2MixRestitutionThreshold(m_fixtureA->m_restitutionThreshold, m_fixtureB->m_restitutionThreshold);
}
inline void b2Contact::SetTangentSpeed(float speed)
{
m_tangentSpeed = speed;
}
inline float b2Contact::GetTangentSpeed() const
{
return m_tangentSpeed;
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_polygon_shape.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_POLYGON_SHAPE_H
#define B2_POLYGON_SHAPE_H
#include "b2_api.h"
#include "b2_shape.h"
struct b2Hull;
/// A solid convex polygon. It is assumed that the interior of the polygon is to
/// the left of each edge.
/// Polygons have a maximum number of vertices equal to b2_maxPolygonVertices.
/// In most cases you should not need many vertices for a convex polygon.
class B2_API b2PolygonShape : public b2Shape
{
public:
b2PolygonShape();
/// Implement b2Shape.
b2Shape* Clone(b2BlockAllocator* allocator) const override;
/// @see b2Shape::GetChildCount
int32 GetChildCount() const override;
/// Create a convex hull from the given array of local points.
/// The count must be in the range [3, b2_maxPolygonVertices].
/// @warning the points may be re-ordered, even if they form a convex polygon
/// @warning if this fails then the polygon is invalid
/// @returns true if valid
bool Set(const b2Vec2* points, int32 count);
/// Create a polygon from a given convex hull (see b2ComputeHull).
/// @warning the hull must be valid or this will crash or have unexpected behavior
void Set(const b2Hull& hull);
/// Build vertices to represent an axis-aligned box centered on the local origin.
/// @param hx the half-width.
/// @param hy the half-height.
void SetAsBox(float hx, float hy);
/// Build vertices to represent an oriented box.
/// @param hx the half-width.
/// @param hy the half-height.
/// @param center the center of the box in local coordinates.
/// @param angle the rotation of the box in local coordinates.
void SetAsBox(float hx, float hy, const b2Vec2& center, float angle);
/// @see b2Shape::TestPoint
bool TestPoint(const b2Transform& transform, const b2Vec2& p) const override;
/// Implement b2Shape.
/// @note because the polygon is solid, rays that start inside do not hit because the normal is
/// not defined.
bool RayCast(b2RayCastOutput* output, const b2RayCastInput& input,
const b2Transform& transform, int32 childIndex) const override;
/// @see b2Shape::ComputeAABB
void ComputeAABB(b2AABB* aabb, const b2Transform& transform, int32 childIndex) const override;
/// @see b2Shape::ComputeMass
void ComputeMass(b2MassData* massData, float density) const override;
/// Validate convexity. This is a very time consuming operation.
/// @returns true if valid
bool Validate() const;
b2Vec2 m_centroid;
b2Vec2 m_vertices[b2_maxPolygonVertices];
b2Vec2 m_normals[b2_maxPolygonVertices];
int32 m_count;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_body.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_BODY_H
#define B2_BODY_H
#include "b2_api.h"
#include "b2_math.h"
#include "b2_shape.h"
class b2Fixture;
class b2Joint;
class b2Contact;
class b2Controller;
class b2World;
struct b2FixtureDef;
struct b2JointEdge;
struct b2ContactEdge;
/// The body type.
/// static: zero mass, zero velocity, may be manually moved
/// kinematic: zero mass, non-zero velocity set by user, moved by solver
/// dynamic: positive mass, non-zero velocity determined by forces, moved by solver
enum b2BodyType
{
b2_staticBody = 0,
b2_kinematicBody,
b2_dynamicBody
};
/// A body definition holds all the data needed to construct a rigid body.
/// You can safely re-use body definitions. Shapes are added to a body after construction.
struct B2_API b2BodyDef
{
/// This constructor sets the body definition default values.
b2BodyDef()
{
position.Set(0.0f, 0.0f);
angle = 0.0f;
linearVelocity.Set(0.0f, 0.0f);
angularVelocity = 0.0f;
linearDamping = 0.0f;
angularDamping = 0.0f;
allowSleep = true;
awake = true;
fixedRotation = false;
bullet = false;
type = b2_staticBody;
enabled = true;
gravityScale = 1.0f;
}
/// The body type: static, kinematic, or dynamic.
/// Note: if a dynamic body would have zero mass, the mass is set to one.
b2BodyType type;
/// The world position of the body. Avoid creating bodies at the origin
/// since this can lead to many overlapping shapes.
b2Vec2 position;
/// The world angle of the body in radians.
float angle;
/// The linear velocity of the body's origin in world co-ordinates.
b2Vec2 linearVelocity;
/// The angular velocity of the body.
float angularVelocity;
/// Linear damping is use to reduce the linear velocity. The damping parameter
/// can be larger than 1.0f but the damping effect becomes sensitive to the
/// time step when the damping parameter is large.
/// Units are 1/time
float linearDamping;
/// Angular damping is use to reduce the angular velocity. The damping parameter
/// can be larger than 1.0f but the damping effect becomes sensitive to the
/// time step when the damping parameter is large.
/// Units are 1/time
float angularDamping;
/// Set this flag to false if this body should never fall asleep. Note that
/// this increases CPU usage.
bool allowSleep;
/// Is this body initially awake or sleeping?
bool awake;
/// Should this body be prevented from rotating? Useful for characters.
bool fixedRotation;
/// Is this a fast moving body that should be prevented from tunneling through
/// other moving bodies? Note that all bodies are prevented from tunneling through
/// kinematic and static bodies. This setting is only considered on dynamic bodies.
/// @warning You should use this flag sparingly since it increases processing time.
bool bullet;
/// Does this body start out enabled?
bool enabled;
/// Use this to store application specific body data.
b2BodyUserData userData;
/// Scale the gravity applied to this body.
float gravityScale;
};
/// A rigid body. These are created via b2World::CreateBody.
class B2_API b2Body
{
public:
/// Creates a fixture and attach it to this body. Use this function if you need
/// to set some fixture parameters, like friction. Otherwise you can create the
/// fixture directly from a shape.
/// If the density is non-zero, this function automatically updates the mass of the body.
/// Contacts are not created until the next time step.
/// @param def the fixture definition.
/// @warning This function is locked during callbacks.
b2Fixture* CreateFixture(const b2FixtureDef* def);
/// Creates a fixture from a shape and attach it to this body.
/// This is a convenience function. Use b2FixtureDef if you need to set parameters
/// like friction, restitution, user data, or filtering.
/// If the density is non-zero, this function automatically updates the mass of the body.
/// @param shape the shape to be cloned.
/// @param density the shape density (set to zero for static bodies).
/// @warning This function is locked during callbacks.
b2Fixture* CreateFixture(const b2Shape* shape, float density);
/// Destroy a fixture. This removes the fixture from the broad-phase and
/// destroys all contacts associated with this fixture. This will
/// automatically adjust the mass of the body if the body is dynamic and the
/// fixture has positive density.
/// All fixtures attached to a body are implicitly destroyed when the body is destroyed.
/// @param fixture the fixture to be removed.
/// @warning This function is locked during callbacks.
void DestroyFixture(b2Fixture* fixture);
/// Set the position of the body's origin and rotation.
/// Manipulating a body's transform may cause non-physical behavior.
/// Note: contacts are updated on the next call to b2World::Step.
/// @param position the world position of the body's local origin.
/// @param angle the world rotation in radians.
void SetTransform(const b2Vec2& position, float angle);
/// Get the body transform for the body's origin.
/// @return the world transform of the body's origin.
const b2Transform& GetTransform() const;
/// Get the world body origin position.
/// @return the world position of the body's origin.
const b2Vec2& GetPosition() const;
/// Get the angle in radians.
/// @return the current world rotation angle in radians.
float GetAngle() const;
/// Get the world position of the center of mass.
const b2Vec2& GetWorldCenter() const;
/// Get the local position of the center of mass.
const b2Vec2& GetLocalCenter() const;
/// Set the linear velocity of the center of mass.
/// @param v the new linear velocity of the center of mass.
void SetLinearVelocity(const b2Vec2& v);
/// Get the linear velocity of the center of mass.
/// @return the linear velocity of the center of mass.
const b2Vec2& GetLinearVelocity() const;
/// Set the angular velocity.
/// @param omega the new angular velocity in radians/second.
void SetAngularVelocity(float omega);
/// Get the angular velocity.
/// @return the angular velocity in radians/second.
float GetAngularVelocity() const;
/// Apply a force at a world point. If the force is not
/// applied at the center of mass, it will generate a torque and
/// affect the angular velocity. This wakes up the body.
/// @param force the world force vector, usually in Newtons (N).
/// @param point the world position of the point of application.
/// @param wake also wake up the body
void ApplyForce(const b2Vec2& force, const b2Vec2& point, bool wake);
/// Apply a force to the center of mass. This wakes up the body.
/// @param force the world force vector, usually in Newtons (N).
/// @param wake also wake up the body
void ApplyForceToCenter(const b2Vec2& force, bool wake);
/// Apply a torque. This affects the angular velocity
/// without affecting the linear velocity of the center of mass.
/// @param torque about the z-axis (out of the screen), usually in N-m.
/// @param wake also wake up the body
void ApplyTorque(float torque, bool wake);
/// Apply an impulse at a point. This immediately modifies the velocity.
/// It also modifies the angular velocity if the point of application
/// is not at the center of mass. This wakes up the body.
/// @param impulse the world impulse vector, usually in N-seconds or kg-m/s.
/// @param point the world position of the point of application.
/// @param wake also wake up the body
void ApplyLinearImpulse(const b2Vec2& impulse, const b2Vec2& point, bool wake);
/// Apply an impulse to the center of mass. This immediately modifies the velocity.
/// @param impulse the world impulse vector, usually in N-seconds or kg-m/s.
/// @param wake also wake up the body
void ApplyLinearImpulseToCenter(const b2Vec2& impulse, bool wake);
/// Apply an angular impulse.
/// @param impulse the angular impulse in units of kg*m*m/s
/// @param wake also wake up the body
void ApplyAngularImpulse(float impulse, bool wake);
/// Get the total mass of the body.
/// @return the mass, usually in kilograms (kg).
float GetMass() const;
/// Get the rotational inertia of the body about the local origin.
/// @return the rotational inertia, usually in kg-m^2.
float GetInertia() const;
/// Get the mass data of the body.
/// @return a struct containing the mass, inertia and center of the body.
b2MassData GetMassData() const;
/// Set the mass properties to override the mass properties of the fixtures.
/// Note that this changes the center of mass position.
/// Note that creating or destroying fixtures can also alter the mass.
/// This function has no effect if the body isn't dynamic.
/// @param data the mass properties.
void SetMassData(const b2MassData* data);
/// This resets the mass properties to the sum of the mass properties of the fixtures.
/// This normally does not need to be called unless you called SetMassData to override
/// the mass and you later want to reset the mass.
void ResetMassData();
/// Get the world coordinates of a point given the local coordinates.
/// @param localPoint a point on the body measured relative the the body's origin.
/// @return the same point expressed in world coordinates.
b2Vec2 GetWorldPoint(const b2Vec2& localPoint) const;
/// Get the world coordinates of a vector given the local coordinates.
/// @param localVector a vector fixed in the body.
/// @return the same vector expressed in world coordinates.
b2Vec2 GetWorldVector(const b2Vec2& localVector) const;
/// Gets a local point relative to the body's origin given a world point.
/// @param worldPoint a point in world coordinates.
/// @return the corresponding local point relative to the body's origin.
b2Vec2 GetLocalPoint(const b2Vec2& worldPoint) const;
/// Gets a local vector given a world vector.
/// @param worldVector a vector in world coordinates.
/// @return the corresponding local vector.
b2Vec2 GetLocalVector(const b2Vec2& worldVector) const;
/// Get the world linear velocity of a world point attached to this body.
/// @param worldPoint a point in world coordinates.
/// @return the world velocity of a point.
b2Vec2 GetLinearVelocityFromWorldPoint(const b2Vec2& worldPoint) const;
/// Get the world velocity of a local point.
/// @param localPoint a point in local coordinates.
/// @return the world velocity of a point.
b2Vec2 GetLinearVelocityFromLocalPoint(const b2Vec2& localPoint) const;
/// Get the linear damping of the body.
float GetLinearDamping() const;
/// Set the linear damping of the body.
void SetLinearDamping(float linearDamping);
/// Get the angular damping of the body.
float GetAngularDamping() const;
/// Set the angular damping of the body.
void SetAngularDamping(float angularDamping);
/// Get the gravity scale of the body.
float GetGravityScale() const;
/// Set the gravity scale of the body.
void SetGravityScale(float scale);
/// Set the type of this body. This may alter the mass and velocity.
void SetType(b2BodyType type);
/// Get the type of this body.
b2BodyType GetType() const;
/// Should this body be treated like a bullet for continuous collision detection?
void SetBullet(bool flag);
/// Is this body treated like a bullet for continuous collision detection?
bool IsBullet() const;
/// You can disable sleeping on this body. If you disable sleeping, the
/// body will be woken.
void SetSleepingAllowed(bool flag);
/// Is this body allowed to sleep
bool IsSleepingAllowed() const;
/// Set the sleep state of the body. A sleeping body has very
/// low CPU cost.
/// @param flag set to true to wake the body, false to put it to sleep.
void SetAwake(bool flag);
/// Get the sleeping state of this body.
/// @return true if the body is awake.
bool IsAwake() const;
/// Allow a body to be disabled. A disabled body is not simulated and cannot
/// be collided with or woken up.
/// If you pass a flag of true, all fixtures will be added to the broad-phase.
/// If you pass a flag of false, all fixtures will be removed from the
/// broad-phase and all contacts will be destroyed.
/// Fixtures and joints are otherwise unaffected. You may continue
/// to create/destroy fixtures and joints on disabled bodies.
/// Fixtures on a disabled body are implicitly disabled and will
/// not participate in collisions, ray-casts, or queries.
/// Joints connected to a disabled body are implicitly disabled.
/// An diabled body is still owned by a b2World object and remains
/// in the body list.
void SetEnabled(bool flag);
/// Get the active state of the body.
bool IsEnabled() const;
/// Set this body to have fixed rotation. This causes the mass
/// to be reset.
void SetFixedRotation(bool flag);
/// Does this body have fixed rotation?
bool IsFixedRotation() const;
/// Get the list of all fixtures attached to this body.
b2Fixture* GetFixtureList();
const b2Fixture* GetFixtureList() const;
/// Get the list of all joints attached to this body.
b2JointEdge* GetJointList();
const b2JointEdge* GetJointList() const;
/// Get the list of all contacts attached to this body.
/// @warning this list changes during the time step and you may
/// miss some collisions if you don't use b2ContactListener.
b2ContactEdge* GetContactList();
const b2ContactEdge* GetContactList() const;
/// Get the next body in the world's body list.
b2Body* GetNext();
const b2Body* GetNext() const;
/// Get the user data pointer that was provided in the body definition.
b2BodyUserData& GetUserData();
const b2BodyUserData& GetUserData() const;
/// Get the parent world of this body.
b2World* GetWorld();
const b2World* GetWorld() const;
/// Dump this body to a file
void Dump();
private:
friend class b2World;
friend class b2Island;
friend class b2ContactManager;
friend class b2ContactSolver;
friend class b2Contact;
friend class b2DistanceJoint;
friend class b2FrictionJoint;
friend class b2GearJoint;
friend class b2MotorJoint;
friend class b2MouseJoint;
friend class b2PrismaticJoint;
friend class b2PulleyJoint;
friend class b2RevoluteJoint;
friend class b2WeldJoint;
friend class b2WheelJoint;
// m_flags
enum
{
e_islandFlag = 0x0001,
e_awakeFlag = 0x0002,
e_autoSleepFlag = 0x0004,
e_bulletFlag = 0x0008,
e_fixedRotationFlag = 0x0010,
e_enabledFlag = 0x0020,
e_toiFlag = 0x0040
};
b2Body(const b2BodyDef* bd, b2World* world);
~b2Body();
void SynchronizeFixtures();
void SynchronizeTransform();
// This is used to prevent connected bodies from colliding.
// It may lie, depending on the collideConnected flag.
bool ShouldCollide(const b2Body* other) const;
void Advance(float t);
b2BodyType m_type;
uint16 m_flags;
int32 m_islandIndex;
b2Transform m_xf; // the body origin transform
b2Sweep m_sweep; // the swept motion for CCD
b2Vec2 m_linearVelocity;
float m_angularVelocity;
b2Vec2 m_force;
float m_torque;
b2World* m_world;
b2Body* m_prev;
b2Body* m_next;
b2Fixture* m_fixtureList;
int32 m_fixtureCount;
b2JointEdge* m_jointList;
b2ContactEdge* m_contactList;
float m_mass, m_invMass;
// Rotational inertia about the center of mass.
float m_I, m_invI;
float m_linearDamping;
float m_angularDamping;
float m_gravityScale;
float m_sleepTime;
b2BodyUserData m_userData;
};
inline b2BodyType b2Body::GetType() const
{
return m_type;
}
inline const b2Transform& b2Body::GetTransform() const
{
return m_xf;
}
inline const b2Vec2& b2Body::GetPosition() const
{
return m_xf.p;
}
inline float b2Body::GetAngle() const
{
return m_sweep.a;
}
inline const b2Vec2& b2Body::GetWorldCenter() const
{
return m_sweep.c;
}
inline const b2Vec2& b2Body::GetLocalCenter() const
{
return m_sweep.localCenter;
}
inline void b2Body::SetLinearVelocity(const b2Vec2& v)
{
if (m_type == b2_staticBody)
{
return;
}
if (b2Dot(v,v) > 0.0f)
{
SetAwake(true);
}
m_linearVelocity = v;
}
inline const b2Vec2& b2Body::GetLinearVelocity() const
{
return m_linearVelocity;
}
inline void b2Body::SetAngularVelocity(float w)
{
if (m_type == b2_staticBody)
{
return;
}
if (w * w > 0.0f)
{
SetAwake(true);
}
m_angularVelocity = w;
}
inline float b2Body::GetAngularVelocity() const
{
return m_angularVelocity;
}
inline float b2Body::GetMass() const
{
return m_mass;
}
inline float b2Body::GetInertia() const
{
return m_I + m_mass * b2Dot(m_sweep.localCenter, m_sweep.localCenter);
}
inline b2MassData b2Body::GetMassData() const
{
b2MassData data;
data.mass = m_mass;
data.I = m_I + m_mass * b2Dot(m_sweep.localCenter, m_sweep.localCenter);
data.center = m_sweep.localCenter;
return data;
}
inline b2Vec2 b2Body::GetWorldPoint(const b2Vec2& localPoint) const
{
return b2Mul(m_xf, localPoint);
}
inline b2Vec2 b2Body::GetWorldVector(const b2Vec2& localVector) const
{
return b2Mul(m_xf.q, localVector);
}
inline b2Vec2 b2Body::GetLocalPoint(const b2Vec2& worldPoint) const
{
return b2MulT(m_xf, worldPoint);
}
inline b2Vec2 b2Body::GetLocalVector(const b2Vec2& worldVector) const
{
return b2MulT(m_xf.q, worldVector);
}
inline b2Vec2 b2Body::GetLinearVelocityFromWorldPoint(const b2Vec2& worldPoint) const
{
return m_linearVelocity + b2Cross(m_angularVelocity, worldPoint - m_sweep.c);
}
inline b2Vec2 b2Body::GetLinearVelocityFromLocalPoint(const b2Vec2& localPoint) const
{
return GetLinearVelocityFromWorldPoint(GetWorldPoint(localPoint));
}
inline float b2Body::GetLinearDamping() const
{
return m_linearDamping;
}
inline void b2Body::SetLinearDamping(float linearDamping)
{
m_linearDamping = linearDamping;
}
inline float b2Body::GetAngularDamping() const
{
return m_angularDamping;
}
inline void b2Body::SetAngularDamping(float angularDamping)
{
m_angularDamping = angularDamping;
}
inline float b2Body::GetGravityScale() const
{
return m_gravityScale;
}
inline void b2Body::SetGravityScale(float scale)
{
m_gravityScale = scale;
}
inline void b2Body::SetBullet(bool flag)
{
if (flag)
{
m_flags |= e_bulletFlag;
}
else
{
m_flags &= ~e_bulletFlag;
}
}
inline bool b2Body::IsBullet() const
{
return (m_flags & e_bulletFlag) == e_bulletFlag;
}
inline void b2Body::SetAwake(bool flag)
{
if (m_type == b2_staticBody)
{
return;
}
if (flag)
{
m_flags |= e_awakeFlag;
m_sleepTime = 0.0f;
}
else
{
m_flags &= ~e_awakeFlag;
m_sleepTime = 0.0f;
m_linearVelocity.SetZero();
m_angularVelocity = 0.0f;
m_force.SetZero();
m_torque = 0.0f;
}
}
inline bool b2Body::IsAwake() const
{
return (m_flags & e_awakeFlag) == e_awakeFlag;
}
inline bool b2Body::IsEnabled() const
{
return (m_flags & e_enabledFlag) == e_enabledFlag;
}
inline bool b2Body::IsFixedRotation() const
{
return (m_flags & e_fixedRotationFlag) == e_fixedRotationFlag;
}
inline void b2Body::SetSleepingAllowed(bool flag)
{
if (flag)
{
m_flags |= e_autoSleepFlag;
}
else
{
m_flags &= ~e_autoSleepFlag;
SetAwake(true);
}
}
inline bool b2Body::IsSleepingAllowed() const
{
return (m_flags & e_autoSleepFlag) == e_autoSleepFlag;
}
inline b2Fixture* b2Body::GetFixtureList()
{
return m_fixtureList;
}
inline const b2Fixture* b2Body::GetFixtureList() const
{
return m_fixtureList;
}
inline b2JointEdge* b2Body::GetJointList()
{
return m_jointList;
}
inline const b2JointEdge* b2Body::GetJointList() const
{
return m_jointList;
}
inline b2ContactEdge* b2Body::GetContactList()
{
return m_contactList;
}
inline const b2ContactEdge* b2Body::GetContactList() const
{
return m_contactList;
}
inline b2Body* b2Body::GetNext()
{
return m_next;
}
inline const b2Body* b2Body::GetNext() const
{
return m_next;
}
inline b2BodyUserData& b2Body::GetUserData()
{
return m_userData;
}
inline const b2BodyUserData& b2Body::GetUserData() const
{
return m_userData;
}
inline void b2Body::ApplyForce(const b2Vec2& force, const b2Vec2& point, bool wake)
{
if (m_type != b2_dynamicBody)
{
return;
}
if (wake && (m_flags & e_awakeFlag) == 0)
{
SetAwake(true);
}
// Don't accumulate a force if the body is sleeping.
if (m_flags & e_awakeFlag)
{
m_force += force;
m_torque += b2Cross(point - m_sweep.c, force);
}
}
inline void b2Body::ApplyForceToCenter(const b2Vec2& force, bool wake)
{
if (m_type != b2_dynamicBody)
{
return;
}
if (wake && (m_flags & e_awakeFlag) == 0)
{
SetAwake(true);
}
// Don't accumulate a force if the body is sleeping
if (m_flags & e_awakeFlag)
{
m_force += force;
}
}
inline void b2Body::ApplyTorque(float torque, bool wake)
{
if (m_type != b2_dynamicBody)
{
return;
}
if (wake && (m_flags & e_awakeFlag) == 0)
{
SetAwake(true);
}
// Don't accumulate a force if the body is sleeping
if (m_flags & e_awakeFlag)
{
m_torque += torque;
}
}
inline void b2Body::ApplyLinearImpulse(const b2Vec2& impulse, const b2Vec2& point, bool wake)
{
if (m_type != b2_dynamicBody)
{
return;
}
if (wake && (m_flags & e_awakeFlag) == 0)
{
SetAwake(true);
}
// Don't accumulate velocity if the body is sleeping
if (m_flags & e_awakeFlag)
{
m_linearVelocity += m_invMass * impulse;
m_angularVelocity += m_invI * b2Cross(point - m_sweep.c, impulse);
}
}
inline void b2Body::ApplyLinearImpulseToCenter(const b2Vec2& impulse, bool wake)
{
if (m_type != b2_dynamicBody)
{
return;
}
if (wake && (m_flags & e_awakeFlag) == 0)
{
SetAwake(true);
}
// Don't accumulate velocity if the body is sleeping
if (m_flags & e_awakeFlag)
{
m_linearVelocity += m_invMass * impulse;
}
}
inline void b2Body::ApplyAngularImpulse(float impulse, bool wake)
{
if (m_type != b2_dynamicBody)
{
return;
}
if (wake && (m_flags & e_awakeFlag) == 0)
{
SetAwake(true);
}
// Don't accumulate velocity if the body is sleeping
if (m_flags & e_awakeFlag)
{
m_angularVelocity += m_invI * impulse;
}
}
inline void b2Body::SynchronizeTransform()
{
m_xf.q.Set(m_sweep.a);
m_xf.p = m_sweep.c - b2Mul(m_xf.q, m_sweep.localCenter);
}
inline void b2Body::Advance(float alpha)
{
// Advance to the new safe time. This doesn't sync the broad-phase.
m_sweep.Advance(alpha);
m_sweep.c = m_sweep.c0;
m_sweep.a = m_sweep.a0;
m_xf.q.Set(m_sweep.a);
m_xf.p = m_sweep.c - b2Mul(m_xf.q, m_sweep.localCenter);
}
inline b2World* b2Body::GetWorld()
{
return m_world;
}
inline const b2World* b2Body::GetWorld() const
{
return m_world;
}
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_distance_joint.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_DISTANCE_JOINT_H
#define B2_DISTANCE_JOINT_H
#include "b2_api.h"
#include "b2_joint.h"
/// Distance joint definition. This requires defining an anchor point on both
/// bodies and the non-zero distance of the distance joint. The definition uses
/// local anchor points so that the initial configuration can violate the
/// constraint slightly. This helps when saving and loading a game.
struct B2_API b2DistanceJointDef : public b2JointDef
{
b2DistanceJointDef()
{
type = e_distanceJoint;
localAnchorA.Set(0.0f, 0.0f);
localAnchorB.Set(0.0f, 0.0f);
length = 1.0f;
minLength = 0.0f;
maxLength = FLT_MAX;
stiffness = 0.0f;
damping = 0.0f;
}
/// Initialize the bodies, anchors, and rest length using world space anchors.
/// The minimum and maximum lengths are set to the rest length.
void Initialize(b2Body* bodyA, b2Body* bodyB,
const b2Vec2& anchorA, const b2Vec2& anchorB);
/// The local anchor point relative to bodyA's origin.
b2Vec2 localAnchorA;
/// The local anchor point relative to bodyB's origin.
b2Vec2 localAnchorB;
/// The rest length of this joint. Clamped to a stable minimum value.
float length;
/// Minimum length. Clamped to a stable minimum value.
float minLength;
/// Maximum length. Must be greater than or equal to the minimum length.
float maxLength;
/// The linear stiffness in N/m.
float stiffness;
/// The linear damping in N*s/m.
float damping;
};
/// A distance joint constrains two points on two bodies to remain at a fixed
/// distance from each other. You can view this as a massless, rigid rod.
class B2_API b2DistanceJoint : public b2Joint
{
public:
b2Vec2 GetAnchorA() const override;
b2Vec2 GetAnchorB() const override;
/// Get the reaction force given the inverse time step.
/// Unit is N.
b2Vec2 GetReactionForce(float inv_dt) const override;
/// Get the reaction torque given the inverse time step.
/// Unit is N*m. This is always zero for a distance joint.
float GetReactionTorque(float inv_dt) const override;
/// The local anchor point relative to bodyA's origin.
const b2Vec2& GetLocalAnchorA() const { return m_localAnchorA; }
/// The local anchor point relative to bodyB's origin.
const b2Vec2& GetLocalAnchorB() const { return m_localAnchorB; }
/// Get the rest length
float GetLength() const { return m_length; }
/// Set the rest length
/// @returns clamped rest length
float SetLength(float length);
/// Get the minimum length
float GetMinLength() const { return m_minLength; }
/// Set the minimum length
/// @returns the clamped minimum length
float SetMinLength(float minLength);
/// Get the maximum length
float GetMaxLength() const { return m_maxLength; }
/// Set the maximum length
/// @returns the clamped maximum length
float SetMaxLength(float maxLength);
/// Get the current length
float GetCurrentLength() const;
/// Set/get the linear stiffness in N/m
void SetStiffness(float stiffness) { m_stiffness = stiffness; }
float GetStiffness() const { return m_stiffness; }
/// Set/get linear damping in N*s/m
void SetDamping(float damping) { m_damping = damping; }
float GetDamping() const { return m_damping; }
/// Dump joint to dmLog
void Dump() override;
///
void Draw(b2Draw* draw) const override;
protected:
friend class b2Joint;
b2DistanceJoint(const b2DistanceJointDef* data);
void InitVelocityConstraints(const b2SolverData& data) override;
void SolveVelocityConstraints(const b2SolverData& data) override;
bool SolvePositionConstraints(const b2SolverData& data) override;
float m_stiffness;
float m_damping;
float m_bias;
float m_length;
float m_minLength;
float m_maxLength;
// Solver shared
b2Vec2 m_localAnchorA;
b2Vec2 m_localAnchorB;
float m_gamma;
float m_impulse;
float m_lowerImpulse;
float m_upperImpulse;
// Solver temp
int32 m_indexA;
int32 m_indexB;
b2Vec2 m_u;
b2Vec2 m_rA;
b2Vec2 m_rB;
b2Vec2 m_localCenterA;
b2Vec2 m_localCenterB;
float m_currentLength;
float m_invMassA;
float m_invMassB;
float m_invIA;
float m_invIB;
float m_softMass;
float m_mass;
};
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_settings.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_SETTINGS_H
#define B2_SETTINGS_H
#include "b2_types.h"
#include "b2_api.h"
/// @file
/// Settings that can be overriden for your application
///
/// Define this macro in your build if you want to override settings
#ifdef B2_USER_SETTINGS
/// This is a user file that includes custom definitions of the macros, structs, and functions
/// defined below.
#include "b2_user_settings.h"
#else
#include <stdarg.h>
#include <stdint.h>
// Tunable Constants
/// You can use this to change the length scale used by your game.
/// For example for inches you could use 39.4.
#define b2_lengthUnitsPerMeter 1.0f
/// The maximum number of vertices on a convex polygon. You cannot increase
/// this too much because b2BlockAllocator has a maximum object size.
#define b2_maxPolygonVertices 8
// User data
/// You can define this to inject whatever data you want in b2Body
struct B2_API b2BodyUserData
{
b2BodyUserData()
{
pointer = 0;
}
/// For legacy compatibility
uintptr_t pointer;
};
/// You can define this to inject whatever data you want in b2Fixture
struct B2_API b2FixtureUserData
{
b2FixtureUserData()
{
pointer = 0;
}
/// For legacy compatibility
uintptr_t pointer;
};
/// You can define this to inject whatever data you want in b2Joint
struct B2_API b2JointUserData
{
b2JointUserData()
{
pointer = 0;
}
/// For legacy compatibility
uintptr_t pointer;
};
// Memory Allocation
/// Default allocation functions
B2_API void* b2Alloc_Default(int32 size);
B2_API void b2Free_Default(void* mem);
/// Implement this function to use your own memory allocator.
inline void* b2Alloc(int32 size)
{
return b2Alloc_Default(size);
}
/// If you implement b2Alloc, you should also implement this function.
inline void b2Free(void* mem)
{
b2Free_Default(mem);
}
/// Default logging function
B2_API void b2Log_Default(const char* string, va_list args);
/// Implement this to use your own logging.
inline void b2Log(const char* string, ...)
{
va_list args;
va_start(args, string);
b2Log_Default(string, args);
va_end(args);
}
#endif // B2_USER_SETTINGS
#include "b2_common.h"
#endif
|
0 | repos/c2z/use_cases/box2d | repos/c2z/use_cases/box2d/include/b2_revolute_joint.h | // MIT License
// Copyright (c) 2019 Erin Catto
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
// The above copyright notice and this permission notice shall be included in all
// copies or substantial portions of the Software.
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
#ifndef B2_REVOLUTE_JOINT_H
#define B2_REVOLUTE_JOINT_H
#include "b2_api.h"
#include "b2_joint.h"
/// Revolute joint definition. This requires defining an anchor point where the
/// bodies are joined. The definition uses local anchor points so that the
/// initial configuration can violate the constraint slightly. You also need to
/// specify the initial relative angle for joint limits. This helps when saving
/// and loading a game.
/// The local anchor points are measured from the body's origin
/// rather than the center of mass because:
/// 1. you might not know where the center of mass will be.
/// 2. if you add/remove shapes from a body and recompute the mass,
/// the joints will be broken.
struct B2_API b2RevoluteJointDef : public b2JointDef
{
b2RevoluteJointDef()
{
type = e_revoluteJoint;
localAnchorA.Set(0.0f, 0.0f);
localAnchorB.Set(0.0f, 0.0f);
referenceAngle = 0.0f;
lowerAngle = 0.0f;
upperAngle = 0.0f;
maxMotorTorque = 0.0f;
motorSpeed = 0.0f;
enableLimit = false;
enableMotor = false;
}
/// Initialize the bodies, anchors, and reference angle using a world
/// anchor point.
void Initialize(b2Body* bodyA, b2Body* bodyB, const b2Vec2& anchor);
/// The local anchor point relative to bodyA's origin.
b2Vec2 localAnchorA;
/// The local anchor point relative to bodyB's origin.
b2Vec2 localAnchorB;
/// The bodyB angle minus bodyA angle in the reference state (radians).
float referenceAngle;
/// A flag to enable joint limits.
bool enableLimit;
/// The lower angle for the joint limit (radians).
float lowerAngle;
/// The upper angle for the joint limit (radians).
float upperAngle;
/// A flag to enable the joint motor.
bool enableMotor;
/// The desired motor speed. Usually in radians per second.
float motorSpeed;
/// The maximum motor torque used to achieve the desired motor speed.
/// Usually in N-m.
float maxMotorTorque;
};
/// A revolute joint constrains two bodies to share a common point while they
/// are free to rotate about the point. The relative rotation about the shared
/// point is the joint angle. You can limit the relative rotation with
/// a joint limit that specifies a lower and upper angle. You can use a motor
/// to drive the relative rotation about the shared point. A maximum motor torque
/// is provided so that infinite forces are not generated.
class B2_API b2RevoluteJoint : public b2Joint
{
public:
b2Vec2 GetAnchorA() const override;
b2Vec2 GetAnchorB() const override;
/// The local anchor point relative to bodyA's origin.
const b2Vec2& GetLocalAnchorA() const { return m_localAnchorA; }
/// The local anchor point relative to bodyB's origin.
const b2Vec2& GetLocalAnchorB() const { return m_localAnchorB; }
/// Get the reference angle.
float GetReferenceAngle() const { return m_referenceAngle; }
/// Get the current joint angle in radians.
float GetJointAngle() const;
/// Get the current joint angle speed in radians per second.
float GetJointSpeed() const;
/// Is the joint limit enabled?
bool IsLimitEnabled() const;
/// Enable/disable the joint limit.
void EnableLimit(bool flag);
/// Get the lower joint limit in radians.
float GetLowerLimit() const;
/// Get the upper joint limit in radians.
float GetUpperLimit() const;
/// Set the joint limits in radians.
void SetLimits(float lower, float upper);
/// Is the joint motor enabled?
bool IsMotorEnabled() const;
/// Enable/disable the joint motor.
void EnableMotor(bool flag);
/// Set the motor speed in radians per second.
void SetMotorSpeed(float speed);
/// Get the motor speed in radians per second.
float GetMotorSpeed() const;
/// Set the maximum motor torque, usually in N-m.
void SetMaxMotorTorque(float torque);
float GetMaxMotorTorque() const { return m_maxMotorTorque; }
/// Get the reaction force given the inverse time step.
/// Unit is N.
b2Vec2 GetReactionForce(float inv_dt) const override;
/// Get the reaction torque due to the joint limit given the inverse time step.
/// Unit is N*m.
float GetReactionTorque(float inv_dt) const override;
/// Get the current motor torque given the inverse time step.
/// Unit is N*m.
float GetMotorTorque(float inv_dt) const;
/// Dump to b2Log.
void Dump() override;
///
void Draw(b2Draw* draw) const override;
protected:
friend class b2Joint;
friend class b2GearJoint;
b2RevoluteJoint(const b2RevoluteJointDef* def);
void InitVelocityConstraints(const b2SolverData& data) override;
void SolveVelocityConstraints(const b2SolverData& data) override;
bool SolvePositionConstraints(const b2SolverData& data) override;
// Solver shared
b2Vec2 m_localAnchorA;
b2Vec2 m_localAnchorB;
b2Vec2 m_impulse;
float m_motorImpulse;
float m_lowerImpulse;
float m_upperImpulse;
bool m_enableMotor;
float m_maxMotorTorque;
float m_motorSpeed;
bool m_enableLimit;
float m_referenceAngle;
float m_lowerAngle;
float m_upperAngle;
// Solver temp
int32 m_indexA;
int32 m_indexB;
b2Vec2 m_rA;
b2Vec2 m_rB;
b2Vec2 m_localCenterA;
b2Vec2 m_localCenterB;
float m_invMassA;
float m_invMassB;
float m_invIA;
float m_invIB;
b2Mat22 m_K;
float m_angle;
float m_axialMass;
};
inline float b2RevoluteJoint::GetMotorSpeed() const
{
return m_motorSpeed;
}
#endif
|
0 | repos/c2z/use_cases | repos/c2z/use_cases/dotherside/DOtherSide_glue.cpp | // auto generated by c2z
#include "DOtherSide.h"
|
0 | repos/c2z/use_cases | repos/c2z/use_cases/dotherside/DOtherSide.zig | // auto generated by c2z
const std = @import("std");
//const cpp = @import("cpp");
///
pub extern fn dos_qcoreapplication_application_dir_path() [*c]u8;
///
pub extern fn dos_qcoreapplication_process_events(flags: DosQEventLoopProcessEventFlag) void;
///
pub extern fn dos_qcoreapplication_process_events_timed(flags: DosQEventLoopProcessEventFlag, ms: c_int) void;
///
pub extern fn dos_qguiapplication_create() void;
///
pub extern fn dos_qguiapplication_exec() void;
///
pub extern fn dos_qguiapplication_quit() void;
///
pub extern fn dos_qguiapplication_delete() void;
///
pub extern fn dos_qapplication_create() void;
///
pub extern fn dos_qapplication_exec() void;
///
pub extern fn dos_qapplication_quit() void;
///
pub extern fn dos_qapplication_delete() void;
///
pub extern fn dos_qqmlapplicationengine_create() [*c]DosQQmlApplicationEngine;
///
pub extern fn dos_qqmlapplicationengine_load(vptr: [*c]DosQQmlApplicationEngine, filename: [*c]const u8) void;
///
pub extern fn dos_qqmlapplicationengine_load_url(vptr: [*c]DosQQmlApplicationEngine, url: [*c]DosQUrl) void;
///
pub extern fn dos_qqmlapplicationengine_load_data(vptr: [*c]DosQQmlApplicationEngine, data: [*c]const u8) void;
///
pub extern fn dos_qqmlapplicationengine_add_import_path(vptr: [*c]DosQQmlApplicationEngine, path: [*c]const u8) void;
///
pub extern fn dos_qqmlapplicationengine_context(vptr: [*c]DosQQmlApplicationEngine) [*c]DosQQmlContext;
///
pub extern fn dos_qqmlapplicationengine_addImageProvider(vptr: [*c]DosQQmlApplicationEngine, name: [*c]const u8, vptr_i: [*c]DosQQuickImageProvider) void;
///
pub extern fn dos_qqmlapplicationengine_delete(vptr: [*c]DosQQmlApplicationEngine) void;
///
pub extern fn dos_qquickimageprovider_create(callback: RequestPixmapCallback) [*c]DosQQuickImageProvider;
///
/// Frees a QQuickImageProvider
pub extern fn dos_qquickimageprovider_delete(vptr: [*c]DosQQuickImageProvider) void;
///
pub extern fn dos_qpixmap_create() [*c]DosPixmap;
///
pub extern fn dos_qpixmap_create_qpixmap(other: [*c]const DosPixmap) [*c]DosPixmap;
///
pub extern fn dos_qpixmap_create_width_and_height(width: c_int, height: c_int) [*c]DosPixmap;
///
pub extern fn dos_qpixmap_delete(vptr: [*c]DosPixmap) void;
///
pub extern fn dos_qpixmap_load(vptr: [*c]DosPixmap, filepath: [*c]const u8, format: [*c]const u8) void;
///
pub extern fn dos_qpixmap_loadFromData(vptr: [*c]DosPixmap, data: [*c]const u8, len: c_uint) void;
///
pub extern fn dos_qpixmap_fill(vptr: [*c]DosPixmap, r: u8, g: u8, b: u8, a: u8) void;
///
pub extern fn dos_qpixmap_assign(vptr: [*c]DosPixmap, other: [*c]const DosPixmap) void;
///
pub extern fn dos_qpixmap_isNull(vptr: [*c]DosPixmap) bool;
///
pub extern fn dos_qquickstyle_set_style(style: [*c]const u8) void;
///
pub extern fn dos_qquickstyle_set_fallback_style(style: [*c]const u8) void;
///
pub extern fn dos_qquickview_create() [*c]DosQQuickView;
///
pub extern fn dos_qquickview_show(vptr: [*c]DosQQuickView) void;
///
pub extern fn dos_qquickview_source(vptr: [*c]const DosQQuickView) [*c]u8;
///
pub extern fn dos_qquickview_set_source_url(vptr: [*c]DosQQuickView, url: [*c]DosQUrl) void;
///
pub extern fn dos_qquickview_set_source(vptr: [*c]DosQQuickView, filename: [*c]const u8) void;
///
pub extern fn dos_qquickview_set_resize_mode(vptr: [*c]DosQQuickView, resizeMode: c_int) void;
///
pub extern fn dos_qquickview_delete(vptr: [*c]DosQQuickView) void;
///
pub extern fn dos_qquickview_rootContext(vptr: [*c]DosQQuickView) [*c]DosQQmlContext;
///
pub extern fn dos_qqmlcontext_baseUrl(vptr: [*c]const DosQQmlContext) [*c]u8;
///
pub extern fn dos_qqmlcontext_setcontextproperty(vptr: [*c]DosQQmlContext, name: [*c]const u8, value: [*c]DosQVariant) void;
///
pub extern fn dos_chararray_delete(ptr: [*c]u8) void;
/// Delete a DosQVariantArray
pub extern fn dos_qvariantarray_delete(ptr: [*c]DosQVariantArray) void;
///
pub extern fn dos_qvariant_create() [*c]DosQVariant;
///
pub extern fn dos_qvariant_create_int(value: c_int) [*c]DosQVariant;
///
pub extern fn dos_qvariant_create_longlong(value: c_longlong) [*c]DosQVariant;
///
pub extern fn dos_qvariant_create_ulonglong(value: c_ulonglong) [*c]DosQVariant;
///
pub extern fn dos_qvariant_create_bool(value: bool) [*c]DosQVariant;
///
pub extern fn dos_qvariant_create_string(value: [*c]const u8) [*c]DosQVariant;
///
pub extern fn dos_qvariant_create_qobject(value: [*c]DosQObject) [*c]DosQVariant;
///
pub extern fn dos_qvariant_create_qvariant(value: [*c]const DosQVariant) [*c]DosQVariant;
///
pub extern fn dos_qvariant_create_float(value: f32) [*c]DosQVariant;
///
pub extern fn dos_qvariant_create_double(value: f64) [*c]DosQVariant;
///
pub extern fn dos_qvariant_create_array(size: c_int, array: [*c][*c]DosQVariant) [*c]DosQVariant;
///
pub extern fn dos_qvariant_setInt(vptr: [*c]DosQVariant, value: c_int) void;
///
pub extern fn dos_qvariant_setLongLong(vptr: [*c]DosQVariant, value: c_longlong) void;
///
pub extern fn dos_qvariant_setULongLong(vptr: [*c]DosQVariant, value: c_ulonglong) void;
///
pub extern fn dos_qvariant_setBool(vptr: [*c]DosQVariant, value: bool) void;
///
pub extern fn dos_qvariant_setFloat(vptr: [*c]DosQVariant, value: f32) void;
///
pub extern fn dos_qvariant_setDouble(vptr: [*c]DosQVariant, value: f64) void;
///
pub extern fn dos_qvariant_setString(vptr: [*c]DosQVariant, value: [*c]const u8) void;
///
pub extern fn dos_qvariant_setQObject(vptr: [*c]DosQVariant, value: [*c]DosQObject) void;
///
pub extern fn dos_qvariant_setArray(vptr: [*c]DosQVariant, size: c_int, array: [*c][*c]DosQVariant) void;
///
pub extern fn dos_qvariant_isnull(vptr: [*c]const DosQVariant) bool;
///
pub extern fn dos_qvariant_delete(vptr: [*c]DosQVariant) void;
///
pub extern fn dos_qvariant_assign(vptr: [*c]DosQVariant, other: [*c]const DosQVariant) void;
///
pub extern fn dos_qvariant_toInt(vptr: [*c]const DosQVariant) c_int;
///
pub extern fn dos_qvariant_toLongLong(vptr: [*c]const DosQVariant) c_longlong;
///
pub extern fn dos_qvariant_toULongLong(vptr: [*c]const DosQVariant) c_ulonglong;
///
pub extern fn dos_qvariant_toBool(vptr: [*c]const DosQVariant) bool;
///
pub extern fn dos_qvariant_toString(vptr: [*c]const DosQVariant) [*c]u8;
///
pub extern fn dos_qvariant_toFloat(vptr: [*c]const DosQVariant) f32;
///
pub extern fn dos_qvariant_toDouble(vptr: [*c]const DosQVariant) f64;
///
pub extern fn dos_qvariant_toArray(vptr: [*c]const DosQVariant) [*c]DosQVariantArray;
///
pub extern fn dos_qvariant_toQObject(vptr: [*c]const DosQVariant) [*c]DosQObject;
///
pub extern fn dos_qmetaobject_create(superClassMetaObject: [*c]DosQMetaObject, className: [*c]const u8, signalDefinitions: [*c]const SignalDefinitions, slotDefinitions: [*c]const SlotDefinitions, propertyDefinitions: [*c]const PropertyDefinitions) [*c]DosQMetaObject;
///
pub extern fn dos_qmetaobject_delete(vptr: [*c]DosQMetaObject) void;
///
pub extern fn dos_qmetaobject_invoke_method(context: [*c]DosQObject, callback: DosQMetaObjectInvokeMethodCallback, callbackData: ?*anyopaque, connection_type: DosQtConnectionType) bool;
///
pub extern fn dos_qabstractlistmodel_qmetaobject() [*c]DosQMetaObject;
///
pub extern fn dos_qabstractlistmodel_create(callbackObject: ?*anyopaque, metaObject: [*c]DosQMetaObject, dObjectCallback: DObjectCallback, callbacks: [*c]DosQAbstractItemModelCallbacks) [*c]DosQAbstractListModel;
///
pub extern fn dos_qabstractlistmodel_index(vptr: [*c]DosQAbstractListModel, row: c_int, column: c_int, parent: [*c]DosQModelIndex) [*c]DosQModelIndex;
///
pub extern fn dos_qabstractlistmodel_parent(vptr: [*c]DosQAbstractListModel, child: [*c]DosQModelIndex) [*c]DosQModelIndex;
///
pub extern fn dos_qabstractlistmodel_columnCount(vptr: [*c]DosQAbstractListModel, parent: [*c]DosQModelIndex) c_int;
///
pub extern fn dos_qabstracttablemodel_qmetaobject() [*c]DosQMetaObject;
///
pub extern fn dos_qabstracttablemodel_create(callbackObject: ?*anyopaque, metaObject: [*c]DosQMetaObject, dObjectCallback: DObjectCallback, callbacks: [*c]DosQAbstractItemModelCallbacks) [*c]DosQAbstractTableModel;
///
pub extern fn dos_qabstracttablemodel_index(vptr: [*c]DosQAbstractTableModel, row: c_int, column: c_int, parent: [*c]DosQModelIndex) [*c]DosQModelIndex;
///
pub extern fn dos_qabstracttablemodel_parent(vptr: [*c]DosQAbstractTableModel, child: [*c]DosQModelIndex) [*c]DosQModelIndex;
///
pub extern fn dos_qabstractitemmodel_qmetaobject() [*c]DosQMetaObject;
///
pub extern fn dos_qabstractitemmodel_create(callbackObject: ?*anyopaque, metaObject: [*c]DosQMetaObject, dObjectCallback: DObjectCallback, callbacks: [*c]DosQAbstractItemModelCallbacks) [*c]DosQAbstractItemModel;
///
pub extern fn dos_qabstractitemmodel_setData(vptr: [*c]DosQAbstractItemModel, index: [*c]DosQModelIndex, data: [*c]DosQVariant, role: c_int) bool;
///
pub extern fn dos_qabstractitemmodel_roleNames(vptr: [*c]DosQAbstractItemModel) [*c]DosQHashIntQByteArray;
///
pub extern fn dos_qabstractitemmodel_flags(vptr: [*c]DosQAbstractItemModel, index: [*c]DosQModelIndex) c_int;
///
pub extern fn dos_qabstractitemmodel_headerData(vptr: [*c]DosQAbstractItemModel, section: c_int, orientation: c_int, role: c_int) [*c]DosQVariant;
///
pub extern fn dos_qabstractitemmodel_hasChildren(vptr: [*c]DosQAbstractItemModel, parentIndex: [*c]DosQModelIndex) bool;
///
pub extern fn dos_qabstractitemmodel_hasIndex(vptr: [*c]DosQAbstractItemModel, row: c_int, column: c_int, dosParentIndex: [*c]DosQModelIndex) bool;
///
pub extern fn dos_qabstractitemmodel_canFetchMore(vptr: [*c]DosQAbstractItemModel, parentIndex: [*c]DosQModelIndex) bool;
///
pub extern fn dos_qabstractitemmodel_fetchMore(vptr: [*c]DosQAbstractItemModel, parentIndex: [*c]DosQModelIndex) void;
///
pub extern fn dos_qabstractitemmodel_beginInsertRows(vptr: [*c]DosQAbstractItemModel, parent: [*c]DosQModelIndex, first: c_int, last: c_int) void;
///
pub extern fn dos_qabstractitemmodel_endInsertRows(vptr: [*c]DosQAbstractItemModel) void;
///
pub extern fn dos_qabstractitemmodel_beginRemoveRows(vptr: [*c]DosQAbstractItemModel, parent: [*c]DosQModelIndex, first: c_int, last: c_int) void;
///
pub extern fn dos_qabstractitemmodel_endRemoveRows(vptr: [*c]DosQAbstractItemModel) void;
///
pub extern fn dos_qabstractitemmodel_beginInsertColumns(vptr: [*c]DosQAbstractItemModel, parent: [*c]DosQModelIndex, first: c_int, last: c_int) void;
///
pub extern fn dos_qabstractitemmodel_endInsertColumns(vptr: [*c]DosQAbstractItemModel) void;
///
pub extern fn dos_qabstractitemmodel_beginRemoveColumns(vptr: [*c]DosQAbstractItemModel, parent: [*c]DosQModelIndex, first: c_int, last: c_int) void;
///
pub extern fn dos_qabstractitemmodel_endRemoveColumns(vptr: [*c]DosQAbstractItemModel) void;
///
pub extern fn dos_qabstractitemmodel_beginResetModel(vptr: [*c]DosQAbstractItemModel) void;
///
pub extern fn dos_qabstractitemmodel_endResetModel(vptr: [*c]DosQAbstractItemModel) void;
///
pub extern fn dos_qabstractitemmodel_dataChanged(vptr: [*c]DosQAbstractItemModel, topLeft: [*c]const DosQModelIndex, bottomRight: [*c]const DosQModelIndex, rolesPtr: [*c]c_int, rolesLength: c_int) void;
///
pub extern fn dos_qabstractitemmodel_createIndex(vptr: [*c]DosQAbstractItemModel, row: c_int, column: c_int, data: ?*anyopaque) [*c]DosQModelIndex;
///
pub extern fn dos_qabstractitemmodel_setData(vptr: [*c]DosQAbstractItemModel, index: [*c]DosQModelIndex, value: [*c]DosQVariant, role: c_int) bool;
///
pub extern fn dos_qabstractitemmodel_roleNames(vptr: [*c]DosQAbstractItemModel) [*c]DosQHashIntQByteArray;
///
pub extern fn dos_qabstractitemmodel_flags(vptr: [*c]DosQAbstractItemModel, index: [*c]DosQModelIndex) c_int;
///
pub extern fn dos_qabstractitemmodel_headerData(vptr: [*c]DosQAbstractItemModel, section: c_int, orientation: c_int, role: c_int) [*c]DosQVariant;
///
pub extern fn dos_qobject_qmetaobject() [*c]DosQMetaObject;
///
pub extern fn dos_qobject_create(dObjectPointer: ?*anyopaque, metaObject: [*c]DosQMetaObject, dObjectCallback: DObjectCallback) [*c]DosQObject;
///
pub extern fn dos_qobject_signal_emit(vptr: [*c]DosQObject, name: [*c]const u8, parametersCount: c_int, parameters: [*c]?*anyopaque) void;
///
pub extern fn dos_qobject_objectName(vptr: [*c]const DosQObject) [*c]u8;
///
pub extern fn dos_qobject_setObjectName(vptr: [*c]DosQObject, name: [*c]const u8) void;
///
pub extern fn dos_qobject_delete(vptr: [*c]DosQObject) void;
///
pub extern fn dos_qobject_deleteLater(vptr: [*c]DosQObject) void;
///
pub extern fn dos_qobject_property(vptr: [*c]DosQObject, propertyName: [*c]const u8) [*c]DosQVariant;
///
pub extern fn dos_qobject_setProperty(vptr: [*c]DosQObject, propertyName: [*c]const u8, value: [*c]DosQVariant) bool;
///
pub extern fn dos_slot_macro(str: [*c]const u8) [*c]u8;
///
pub extern fn dos_signal_macro(str: [*c]const u8) [*c]u8;
///
pub extern fn dos_qobject_connect_lambda_static(sender: [*c]DosQObject, signal: [*c]const u8, callback: DosQObjectConnectLambdaCallback, callbackData: ?*anyopaque, connection_type: DosQtConnectionType) [*c]DosQMetaObjectConnection;
///
pub extern fn dos_qobject_connect_lambda_with_context_static(sender: [*c]DosQObject, signal: [*c]const u8, context: [*c]DosQObject, callback: DosQObjectConnectLambdaCallback, callbackData: ?*anyopaque, connection_type: DosQtConnectionType) [*c]DosQMetaObjectConnection;
///
pub extern fn dos_qobject_connect_static(sender: [*c]DosQObject, signal: [*c]const u8, receiver: [*c]DosQObject, slot: [*c]const u8, connection_type: DosQtConnectionType) [*c]DosQMetaObjectConnection;
///
pub extern fn dos_qobject_disconnect_static(sender: [*c]DosQObject, signal: [*c]const u8, receiver: [*c]DosQObject, slot: [*c]const u8) void;
///
pub extern fn dos_qobject_disconnect_with_connection_static(connection: [*c]DosQMetaObjectConnection) void;
///
///
pub extern fn dos_qmetaobject_connection_delete(self: [*c]DosQMetaObjectConnection) void;
///
pub extern fn dos_qmodelindex_create() [*c]DosQModelIndex;
///
pub extern fn dos_qmodelindex_create_qmodelindex(index: [*c]DosQModelIndex) [*c]DosQModelIndex;
///
pub extern fn dos_qmodelindex_delete(vptr: [*c]DosQModelIndex) void;
///
pub extern fn dos_qmodelindex_row(vptr: [*c]const DosQModelIndex) c_int;
///
pub extern fn dos_qmodelindex_column(vptr: [*c]const DosQModelIndex) c_int;
///
pub extern fn dos_qmodelindex_isValid(vptr: [*c]const DosQModelIndex) bool;
///
pub extern fn dos_qmodelindex_data(vptr: [*c]const DosQModelIndex, role: c_int) [*c]DosQVariant;
///
pub extern fn dos_qmodelindex_parent(vptr: [*c]const DosQModelIndex) [*c]DosQModelIndex;
///
pub extern fn dos_qmodelindex_child(vptr: [*c]const DosQModelIndex, row: c_int, column: c_int) [*c]DosQModelIndex;
///
pub extern fn dos_qmodelindex_sibling(vptr: [*c]const DosQModelIndex, row: c_int, column: c_int) [*c]DosQModelIndex;
///
pub extern fn dos_qmodelindex_assign(l: [*c]DosQModelIndex, r: [*c]const DosQModelIndex) void;
///
pub extern fn dos_qmodelindex_internalPointer(vptr: [*c]DosQModelIndex) ?*anyopaque;
///
pub extern fn dos_qhash_int_qbytearray_create() [*c]DosQHashIntQByteArray;
///
pub extern fn dos_qhash_int_qbytearray_delete(vptr: [*c]DosQHashIntQByteArray) void;
///
pub extern fn dos_qhash_int_qbytearray_insert(vptr: [*c]DosQHashIntQByteArray, key: c_int, value: [*c]const u8) void;
///
pub extern fn dos_qhash_int_qbytearray_value(vptr: [*c]const DosQHashIntQByteArray, key: c_int) [*c]u8;
/// Register the given .rcc (compiled) file in the resource system
pub extern fn dos_qresource_register(filename: [*c]const u8) void;
///
pub extern fn dos_qurl_create(url: [*c]const u8, parsingMode: c_int) [*c]DosQUrl;
///
pub extern fn dos_qurl_delete(vptr: [*c]DosQUrl) void;
///
pub extern fn dos_qurl_to_string(vptr: [*c]const DosQUrl) [*c]u8;
///
pub extern fn dos_qurl_isValid(vptr: [*c]const DosQUrl) bool;
///
pub extern fn dos_qdeclarative_qmlregistertype(qmlRegisterType: [*c]const QmlRegisterType) c_int;
///
pub extern fn dos_qdeclarative_qmlregistersingletontype(qmlRegisterType: [*c]const QmlRegisterType) c_int;
///
pub extern fn dos_qpointer_create(object: [*c]DosQObject) [*c]DosQPointer;
///
pub extern fn dos_qpointer_delete(self: [*c]DosQPointer) void;
///
pub extern fn dos_qpointer_is_null(self: [*c]DosQPointer) bool;
///
pub extern fn dos_qpointer_clear(self: [*c]DosQPointer) void;
///
pub extern fn dos_qpointer_data(self: [*c]DosQPointer) [*c]DosQObject;
|
0 | repos/c2z/use_cases/dotherside/include | repos/c2z/use_cases/dotherside/include/DOtherSide/DosQObjectImpl.h | /*
Copyright (C) 2020 Filippo Cucchetto.
Contact: https://github.com/filcuc/dotherside
This file is part of the DOtherSide library.
The DOtherSide library is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation, either version 3 of the license, or (at your opinion) any later version.
The DOtherSide library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the DOtherSide library. If not, see <http://www.gnu.org/licenses/>.
*/
#pragma once
// std
#include <vector>
// Qt
#include <QtCore/QMutex>
#include <QtCore/QString>
#include <QtCore/QVariant>
// DOtherSide
#include "DOtherSide/DosQObject.h"
#include "DOtherSide/DOtherSideTypesCpp.h"
namespace DOS {
/// This class implement the interface IDosQObject
/// and it's injected in DosQObject
class DosQObjectImpl : public DosIQObjectImpl
{
public:
using ParentMetaCall = std::function<int(QMetaObject::Call, int, void **)>;
/// Constructor
DosQObjectImpl(ParentMetaCall parentMetaCall,
std::shared_ptr<const DosIQMetaObject> metaObject,
void *dObjectPointer,
DObjectCallback dObjectCallback);
/// @see IDosQObject::emitSignal
bool emitSignal(QObject *emitter, const QString &name, const std::vector<QVariant> &arguments) override;
/// @see IDosQObject::metaObject()
const QMetaObject *metaObject() const override;
/// @see IDosQObject::qt_metacall
int qt_metacall(QMetaObject::Call, int, void **) override;
private:
bool executeSlot(const QMetaMethod &method, void **args, int argumentsOffset = 1);
bool executeSlot(int index, void **args);
QVariant executeSlot(const QString &name, const std::vector<QVariant> &args);
bool readProperty(int index, void **args);
bool writeProperty(int index, void **args);
const ParentMetaCall m_parentMetaCall;
const std::shared_ptr<const DosIQMetaObject> m_metaObject;
void* const m_dObjectPointer = nullptr;
const DObjectCallback m_dObjectCallback;
};
} // namespace DOS
|
0 | repos/c2z/use_cases/dotherside/include | repos/c2z/use_cases/dotherside/include/DOtherSide/DosIQObjectImpl.h | /*
Copyright (C) 2020 Filippo Cucchetto.
Contact: https://github.com/filcuc/dotherside
This file is part of the DOtherSide library.
The DOtherSide library is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation, either version 3 of the license, or (at your opinion) any later version.
The DOtherSide library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with the DOtherSide library. If not, see <http://www.gnu.org/licenses/>.
*/
#pragma once
// std
#include <vector>
// Qt
#include <QtCore/QObject>
#include <QtCore/QString>
#include <QtCore/QVariant>
#include <QtCore/QMetaObject>
namespace DOS {
class DosIQObjectImpl
{
public:
/// Destructor
virtual ~DosIQObjectImpl() = default;
/// Emit the signal with the given name and arguments
virtual bool emitSignal(QObject *emitter, const QString &name, const std::vector<QVariant> &argumentsValues) = 0;
/// Return the metaObject
virtual const QMetaObject *metaObject() const = 0;
/// The qt_metacall implementation
virtual int qt_metacall(QMetaObject::Call, int, void **) = 0;
};
} // namespace dos
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.