
"""simple docstring"""







import torch

from transformers import AutoModel




class 				A__ (			torch.nn.Module):

		def __init__(   self ,	_SCREAMING_SNAKE_CASE="sayef/fsner-bert-base-uncased"				):
			super(_SCREAMING_SNAKE_CASE ,	self				).__init__()

			__lowerCAmelCase    :		Tuple		    =   AutoModel.from_pretrained(_SCREAMING_SNAKE_CASE ,	return_dict=_SCREAMING_SNAKE_CASE				)
			__lowerCAmelCase    :		Tuple		    =   torch.nn.CosineSimilarity(3 ,	1E-08				)
			__lowerCAmelCase    :		List[Any]		    =   torch.nn.Softmax(dim=1				)

		def 							__lowerCamelCase							(   self ,	**_SCREAMING_SNAKE_CASE				):
			return self.bert(**_SCREAMING_SNAKE_CASE				).last_hidden_state

		def 							__lowerCamelCase							(   self ,	_SCREAMING_SNAKE_CASE				):
			return token_embeddings.sum(2 ,	keepdim=_SCREAMING_SNAKE_CASE				)

		def 							__lowerCamelCase							(   self ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE=1				):
			return self.softmax(T * self.cos(_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				)				)







		def 							__lowerCamelCase							(   self ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				):
			__lowerCAmelCase    :		List[str]		    =   W_supports['sizes'].tolist()
			__lowerCAmelCase    :		List[Any]		    =   W_supports['start_token_id'].item()
			__lowerCAmelCase    :		Dict		    =   W_supports['end_token_id'].item()

			del W_supports["sizes"]
			del W_supports["start_token_id"]
			del W_supports["end_token_id"]

			__lowerCAmelCase    :		List[Any]		    =   self.BERT(**_SCREAMING_SNAKE_CASE				)
			__lowerCAmelCase    :		Optional[Any]		    =   self.BERT(**_SCREAMING_SNAKE_CASE				)

			__lowerCAmelCase    :		List[str]		    =   None
			__lowerCAmelCase    :		Tuple		    =   None

			__lowerCAmelCase    :		List[str]		    =   W_supports['input_ids'] == start_token_id
			__lowerCAmelCase    :		List[str]		    =   W_supports['input_ids'] == end_token_id

			for i, size in enumerate(_SCREAMING_SNAKE_CASE				):
				if i == 0:
					__lowerCAmelCase    :		Optional[int]		    =   0
				else:
					__lowerCAmelCase    :		List[Any]		    =   support_sizes[i - 1]

				__lowerCAmelCase    :		Any		    =   S[s : s + size][start_token_masks[s : s + size]]
				__lowerCAmelCase    :		int		    =   S[s : s + size][end_token_masks[s : s + size]]

				__lowerCAmelCase    :		Union[str, Any]		    =   torch.matmul(q[i] ,	s_start.T				).sum(1				).softmax(0				)
				__lowerCAmelCase    :		List[Any]		    =   torch.matmul(q[i] ,	s_end.T				).sum(1				).softmax(0				)

				if p_starts is not None:
					__lowerCAmelCase    :		Optional[Any]		    =   torch.vstack((p_starts, p_start)				)
					__lowerCAmelCase    :		Optional[int]		    =   torch.vstack((p_ends, p_end)				)
				else:
					__lowerCAmelCase    :		List[Any]		    =   p_start
					__lowerCAmelCase    :		str		    =   p_end

			return p_starts, p_ends

"""simple docstring"""







from collections.abc import Sequence
from queue import Queue




class 				A__ :

		def __init__(   self ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE=None ,	_SCREAMING_SNAKE_CASE=None				):
			__lowerCAmelCase    :		List[str]		    =   start
			__lowerCAmelCase    :		Union[str, Any]		    =   end
			__lowerCAmelCase    :		Union[str, Any]		    =   val
			__lowerCAmelCase    :		Dict		    =   (start + end) // 2
			__lowerCAmelCase    :		Dict		    =   left
			__lowerCAmelCase    :		List[Any]		    =   right







		def __repr__(   self				):
			return f"SegmentTreeNode(start={self.start}, end={self.end}, val={self.val})"




class 				A__ :

		def __init__(   self ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				):
			__lowerCAmelCase    :		Optional[Any]		    =   collection
			__lowerCAmelCase    :		Optional[int]		    =   function
			if self.collection:
				__lowerCAmelCase    :		str		    =   self._build_tree(0 ,	len(_SCREAMING_SNAKE_CASE				) - 1				)

		def 							__lowerCamelCase							(   self ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				):
			self._update_tree(self.root ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				)

		def 							__lowerCamelCase							(   self ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				):
			return self._query_range(self.root ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				)

		def 							__lowerCamelCase							(   self ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				):
			if start == end:
				return SegmentTreeNode(_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE ,	self.collection[start]				)
			__lowerCAmelCase    :		Tuple		    =   (start + end) // 2
			__lowerCAmelCase    :		List[str]		    =   self._build_tree(_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				)
			__lowerCAmelCase    :		Dict		    =   self._build_tree(mid + 1 ,	_SCREAMING_SNAKE_CASE				)
			return SegmentTreeNode(_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE ,	self.fn(left.val ,	right.val				) ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				)

		def 							__lowerCamelCase							(   self ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				):
			if node.start == i and node.end == i:
				__lowerCAmelCase    :		int		    =   val
				return
			if i <= node.mid:
				self._update_tree(node.left ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				)
			else:
				self._update_tree(node.right ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				)
			__lowerCAmelCase    :		Optional[Any]		    =   self.fn(node.left.val ,	node.right.val				)

		def 							__lowerCamelCase							(   self ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				):
			if node.start == i and node.end == j:
				return node.val

			if i <= node.mid:
				if j <= node.mid:
					# range in left child tree
					return self._query_range(node.left ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				)
				else:
					# range in left child tree and right child tree
					return self.fn(
					    self._query_range(node.left ,	_SCREAMING_SNAKE_CASE ,	node.mid				) ,	self._query_range(node.right ,	node.mid + 1 ,	_SCREAMING_SNAKE_CASE				) ,	)
			else:
				# range in right child tree
				return self._query_range(node.right ,	_SCREAMING_SNAKE_CASE ,	_SCREAMING_SNAKE_CASE				)







		def 							__lowerCamelCase							(   self				):
			if self.root is not None:
				__lowerCAmelCase    :		Optional[Any]		    =   Queue()
				queue.put(self.root				)
				while not queue.empty():
					__lowerCAmelCase    :		str		    =   queue.get()
					yield node

					if node.left is not None:
						queue.put(node.left				)

					if node.right is not None:
						queue.put(node.right				)


if __name__ == "__main__":
							import operator

							for fn in [operator.add, max, min]:
														print("""*""" * 50)
														lowerCamelCase__           =	SegmentTree([2, 1, 5, 3, 4], fn)
														for node in arr.traverse():
																					print(node)
														print()

														arr.update(1, 5)
														for node in arr.traverse():
																					print(node)
														print()

														print(arr.query_range(3, 4))  # 7
														print(arr.query_range(2, 2))  # 5
														print(arr.query_range(1, 3))  # 13
														print()