





"""simple docstring"""


import heapq
import sys

import numpy as np

__magic_name__       :					Optional[int]						=			tuple[int, int]






class 							lowercase__			:

			"""simple docstring"""







			def __init__(      self    ):






									'''simple docstring'''







									UpperCamelCase				:		Optional[Any]				   =			[]
									UpperCamelCase				:		str				   =			set()







			def   _a      (      self    ):






									'''simple docstring'''







									if not self.empty():
															return self.elements[0][0]
									else:
															return float("""inf"""    )







			def   _a      (      self    ):






									'''simple docstring'''







									return len(self.elements    ) == 0







			def   _a      (      self						,   _A						,   _A    ):






									'''simple docstring'''







									if item not in self.set:
															heapq.heappush(self.elements						,   (priority, item)    )
															self.set.add(_A    )
									else:
															# update
															# print("update", item)
															UpperCamelCase				:		int				   =			[]
															((UpperCamelCase)   ,						(UpperCamelCase))				:		Optional[Any]				   =			heapq.heappop(self.elements    )
															while x != item:
																					temp.append((pri, x)    )
																					((UpperCamelCase)   ,						(UpperCamelCase))				:		Any				   =			heapq.heappop(self.elements    )
															temp.append((priority, item)    )
															for pro, xxx in temp:
																					heapq.heappush(self.elements						,   (pro, xxx)    )







			def   _a      (      self						,   _A    ):






									'''simple docstring'''







									if item in self.set:
															self.set.remove(_A    )
															UpperCamelCase				:		int				   =			[]
															((UpperCamelCase)   ,						(UpperCamelCase))				:		Optional[Any]				   =			heapq.heappop(self.elements    )
															while x != item:
																					temp.append((pro, x)    )
																					((UpperCamelCase)   ,						(UpperCamelCase))				:		Any				   =			heapq.heappop(self.elements    )
															for prito, yyy in temp:
																					heapq.heappush(self.elements						,   (prito, yyy)    )







			def   _a      (      self    ):






									'''simple docstring'''







									return self.elements[0][1]







			def   _a      (      self    ):






									'''simple docstring'''







									((UpperCamelCase)   ,						(UpperCamelCase))				:		List[str]				   =			heapq.heappop(self.elements    )
									self.set.remove(_A    )
									return (priority, item)


def      UpperCamelCase							(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
						# euclidean distance
						UpperCamelCase				:		Tuple				   =			np.array(SCREAMING_SNAKE_CASE     )
						UpperCamelCase				:		Dict				   =			np.array(SCREAMING_SNAKE_CASE     )
						return np.linalg.norm(a - b     )

def      UpperCamelCase							(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
						# integer division by time variable
						return consistent_heuristic(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ) // t

def      UpperCamelCase							(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
						# manhattan distance
						return abs(p[0] - goal[0]     ) + abs(p[1] - goal[1]     )

def      UpperCamelCase							(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
						UpperCamelCase				:		Union[str, Any]				   =			g_function[start] + Wa * heuristics[i](SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     )
						return ans

def      UpperCamelCase							(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
						UpperCamelCase				:		List[Any]				   =			np.chararray((n, n)     )
						for i in range(SCREAMING_SNAKE_CASE     ):
												for j in range(SCREAMING_SNAKE_CASE     ):
																		UpperCamelCase				:		Dict				   =			"""*"""

						for i in range(SCREAMING_SNAKE_CASE     ):
												for j in range(SCREAMING_SNAKE_CASE     ):
																		if (j, (n - 1) - i) in blocks:
																								UpperCamelCase				:		Any				   =			"""#"""

						UpperCamelCase				:		Tuple				   =			"""-"""
						UpperCamelCase				:		str				   =			back_pointer[goal]
						while x != start:
												((UpperCamelCase)   ,						(UpperCamelCase))				:		Any				   =			x
												# print(x)
												UpperCamelCase				:		Any				   =			"""-"""
												UpperCamelCase				:		Optional[Any]				   =			back_pointer[x]
						UpperCamelCase				:		List[str]				   =			"""-"""

						for i in range(SCREAMING_SNAKE_CASE     ):
												for j in range(SCREAMING_SNAKE_CASE     ):
																		if (i, j) == (0, n - 1):
																								print(grid[i][j]							,     end=""" """     )
																								print("""<-- End position"""							,     end=""" """     )
																		else:
																								print(grid[i][j]							,     end=""" """     )
												print()
						print("""^"""     )
						print("""Start position"""     )
						print()
						print("""# is an obstacle"""     )
						print("""- is the path taken by algorithm"""     )
						print("""PATH TAKEN BY THE ALGORITHM IS:-"""     )
						UpperCamelCase				:		Union[str, Any]				   =			back_pointer[goal]
						while x != start:
												print(SCREAMING_SNAKE_CASE							,     end=""" """     )
												UpperCamelCase				:		Optional[Any]				   =			back_pointer[x]
						print(SCREAMING_SNAKE_CASE     )
						sys.exit()

def      UpperCamelCase							(SCREAMING_SNAKE_CASE     ):
						if p[0] < 0 or p[0] > n - 1:
												return False
						if p[1] < 0 or p[1] > n - 1:
												return False
						return True

def      UpperCamelCase							(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     ):
						for itera in range(SCREAMING_SNAKE_CASE     ):
												open_list[itera].remove_element(SCREAMING_SNAKE_CASE     )
						# print("s", s)
						# print("j", j)
						((UpperCamelCase)   ,						(UpperCamelCase))				:		List[Any]				   =			s
						UpperCamelCase				:		Tuple				   =			(x - 1, y)
						UpperCamelCase				:		Union[str, Any]				   =			(x + 1, y)
						UpperCamelCase				:		int				   =			(x, y + 1)
						UpperCamelCase				:		Tuple				   =			(x, y - 1)

						for neighbours in [left, right, up, down]:
												if neighbours not in blocks:
																		if valid(SCREAMING_SNAKE_CASE     ) and neighbours not in visited:
																								# print("neighbour", neighbours)
																								visited.add(SCREAMING_SNAKE_CASE     )
																								UpperCamelCase				:		Dict				   =			-1
																								UpperCamelCase				:		Union[str, Any]				   =			float("""inf"""     )

																		if valid(SCREAMING_SNAKE_CASE     ) and g_function[neighbours] > g_function[s] + 1:
																								UpperCamelCase				:		Optional[int]				   =			g_function[s] + 1
																								UpperCamelCase				:		Optional[int]				   =			s
																								if neighbours not in close_list_anchor:
																														open_list[0].put(SCREAMING_SNAKE_CASE							,     key(SCREAMING_SNAKE_CASE							,     0							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     )     )
																														if neighbours not in close_list_inad:
																																				for var in range(1							,     SCREAMING_SNAKE_CASE     ):
																																										if key(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ) <= Wa * key(
																																										    SCREAMING_SNAKE_CASE							,     0							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
																																																open_list[j].put(
																																																    SCREAMING_SNAKE_CASE							,     key(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     )     )

def      UpperCamelCase							():
						UpperCamelCase				:		Optional[Any]				   =			[]
						for x in range(1							,     5     ):
												for y in range(1							,     6     ):
																		some_list.append((x, y)     )

						for x in range(15							,     20     ):
												some_list.append((x, 17)     )

						for x in range(10							,     19     ):
												for y in range(1							,     15     ):
																		some_list.append((x, y)     )

    # L block
						for x in range(1							,     4     ):
												for y in range(12							,     19     ):
																		some_list.append((x, y)     )
						for x in range(3							,     13     ):
												for y in range(16							,     19     ):
																		some_list.append((x, y)     )
						return some_list


__magic_name__       :					Optional[int]						=			{0: consistent_heuristic, 1: heuristic_a, 2: heuristic_a}

__magic_name__       :					Tuple						=			[
    (0, 1),
    (1, 1),
    (2, 1),
    (3, 1),
    (4, 1),
    (5, 1),
    (6, 1),
    (7, 1),
    (8, 1),
    (9, 1),
    (1_0, 1),
    (1_1, 1),
    (1_2, 1),
    (1_3, 1),
    (1_4, 1),
    (1_5, 1),
    (1_6, 1),
    (1_7, 1),
    (1_8, 1),
    (1_9, 1),
]
__magic_name__       :					Tuple						=			make_common_ground()


__magic_name__       :					List[Any]						=			blocks_blk
# hyper parameters
__magic_name__       :					Union[str, Any]						=			1
__magic_name__       :					Tuple						=			1
__magic_name__       :					int						=			2_0
__magic_name__       :					Tuple						=			3  # one consistent and two other inconsistent

# start and end destination
__magic_name__       :					Any						=			(0, 0)
__magic_name__       :					Optional[int]						=			(n - 1, n - 1)

__magic_name__       :					List[Any]						=			1

def      UpperCamelCase							(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
						UpperCamelCase				:		Any				   =			{start: 0, goal: float("""inf"""     )}
						UpperCamelCase				:		List[str]				   =			{start: -1, goal: -1}
						UpperCamelCase				:		Tuple				   =			[]
						UpperCamelCase				:		Dict				   =			set()

						for i in range(SCREAMING_SNAKE_CASE     ):
												open_list.append(PriorityQueue()     )
												open_list[i].put(SCREAMING_SNAKE_CASE							,     key(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     )     )

						UpperCamelCase				:		list[int]				   =			[]
						UpperCamelCase				:		list[int]				   =			[]
						while open_list[0].minkey() < float("""inf"""     ):
												for i in range(1							,     SCREAMING_SNAKE_CASE     ):
																		# print(open_list[0].minkey(), open_list[i].minkey())
																		if open_list[i].minkey() <= Wa * open_list[0].minkey():
																								global t
																								t += 1
																								if g_function[goal] <= open_list[i].minkey():
																														if g_function[goal] < float("""inf"""     ):
																																				do_something(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     )
																								else:
																														UpperCamelCase   ,						UpperCamelCase				:		Any				   =			open_list[i].top_show()
																														visited.add(SCREAMING_SNAKE_CASE     )
																														expand_state(
																														    SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     )
																														close_list_inad.append(SCREAMING_SNAKE_CASE     )
																		else:
																								if g_function[goal] <= open_list[0].minkey():
																														if g_function[goal] < float("""inf"""     ):
																																				do_something(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     )
																								else:
																														UpperCamelCase				:		List[Any]				   =			open_list[0].top_show()
																														visited.add(SCREAMING_SNAKE_CASE     )
																														expand_state(
																														    SCREAMING_SNAKE_CASE							,     0							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE							,     )
																														close_list_anchor.append(SCREAMING_SNAKE_CASE     )
						print("""No path found to goal"""     )
						print()
						for i in range(n - 1							,     -1							,     -1     ):
												for j in range(SCREAMING_SNAKE_CASE     ):
																		if (j, i) in blocks:
																								print("""#"""							,     end=""" """     )
																		elif (j, i) in back_pointer:
																								if (j, i) == (n - 1, n - 1):
																														print("""*"""							,     end=""" """     )
																								else:
																														print("""-"""							,     end=""" """     )
																		else:
																								print("""*"""							,     end=""" """     )
																		if (j, i) == (n - 1, n - 1):
																								print("""<-- End position"""							,     end=""" """     )
												print()
						print("""^"""     )
						print("""Start position"""     )
						print()
						print("""# is an obstacle"""     )
						print("""- is the path taken by algorithm"""     )


if __name__ == "__main__":
		multi_a_star(start, goal, n_heuristic)










"""simple docstring"""


from collections import OrderedDict
from typing import Any, List, Mapping, Optional

from ... import PreTrainedTokenizer, TensorType, is_torch_available
from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxConfigWithPast, PatchingSpec
from ...utils import logging


__magic_name__       :					List[str]						=			logging.get_logger(__name__)

__magic_name__       :					Any						=			{
    """EleutherAI/gpt-j-6B""": """https://huggingface.co/EleutherAI/gpt-j-6B/resolve/main/config.json""",
    # See all GPT-J models at https://huggingface.co/models?filter=gpt_j
}






class 							lowercase__			(   __SCREAMING_SNAKE_CASE	):

			"""simple docstring"""
			__lowerCAmelCase     :				Optional[int]										=  """gptj"""
			__lowerCAmelCase     :				Optional[Any]										=  {
			    """max_position_embeddings""": """n_positions""",
			    """hidden_size""": """n_embd""",
			    """num_attention_heads""": """n_head""",
			    """num_hidden_layers""": """n_layer""",
			}







			def __init__(      self						,   _A=5_0_4_0_0						,   _A=2_0_4_8						,   _A=4_0_9_6						,   _A=2_8						,   _A=1_6						,   _A=6_4						,   _A=None						,   _A="gelu_new"						,   _A=0.0						,   _A=0.0						,   _A=0.0						,   _A=1e-5						,   _A=0.02						,   _A=True						,   _A=5_0_2_5_6						,   _A=5_0_2_5_6						,   _A=False						,   **_A						,   ):






									'''simple docstring'''







									UpperCamelCase				:		Tuple				   =			vocab_size
									UpperCamelCase				:		Any				   =			n_positions
									UpperCamelCase				:		List[str]				   =			n_embd
									UpperCamelCase				:		List[str]				   =			n_layer
									UpperCamelCase				:		Optional[int]				   =			n_head
									UpperCamelCase				:		int				   =			n_inner
									UpperCamelCase				:		Optional[Any]				   =			rotary_dim
									UpperCamelCase				:		Optional[int]				   =			activation_function
									UpperCamelCase				:		str				   =			resid_pdrop
									UpperCamelCase				:		Union[str, Any]				   =			embd_pdrop
									UpperCamelCase				:		Optional[Any]				   =			attn_pdrop
									UpperCamelCase				:		Optional[int]				   =			layer_norm_epsilon
									UpperCamelCase				:		Any				   =			initializer_range
									UpperCamelCase				:		Optional[int]				   =			use_cache

									UpperCamelCase				:		List[Any]				   =			bos_token_id
									UpperCamelCase				:		List[str]				   =			eos_token_id

									super().__init__(
									    bos_token_id=_A						,   eos_token_id=_A						,   tie_word_embeddings=_A						,   **_A    )






class 							lowercase__			(   __SCREAMING_SNAKE_CASE	):

			"""simple docstring"""







			def __init__(      self						,   _A						,   _A = "default"						,   _A = None						,   _A = False						,   ):






									'''simple docstring'''







									super().__init__(_A						,   task=_A						,   patching_specs=_A						,   use_past=_A    )
									if not getattr(self._config						,   """pad_token_id"""						,   _A    ):
															# TODO: how to do that better?
															UpperCamelCase				:		Optional[Any]				   =			0







			@property
			def   _a      (      self    ):






									'''simple docstring'''







									UpperCamelCase				:		List[str]				   =			OrderedDict({"""input_ids""": {0: """batch""", 1: """sequence"""}}    )
									if self.use_past:
															self.fill_with_past_key_values_(_A						,   direction="""inputs"""    )
															UpperCamelCase				:		Any				   =			{0: """batch""", 1: """past_sequence + sequence"""}
									else:
															UpperCamelCase				:		List[Any]				   =			{0: """batch""", 1: """sequence"""}

									return common_inputs







			@property
			def   _a      (      self    ):






									'''simple docstring'''







									return self._config.n_layer







			@property
			def   _a      (      self    ):






									'''simple docstring'''







									return self._config.n_head







			def   _a      (      self						,   _A						,   _A = -1						,   _A = -1						,   _A = False						,   _A = None						,   ):






									'''simple docstring'''







									UpperCamelCase				:		Optional[Any]				   =			super(_A						,   self    ).generate_dummy_inputs(
									    _A						,   batch_size=_A						,   seq_length=_A						,   is_pair=_A						,   framework=_A    )

									# We need to order the input in the way they appears in the forward()
									UpperCamelCase				:		Optional[Any]				   =			OrderedDict({"""input_ids""": common_inputs["""input_ids"""]}    )

									# Need to add the past_keys
									if self.use_past:
															if not is_torch_available():
																					raise ValueError("""Cannot generate dummy past_keys inputs without PyTorch installed."""    )
															else:
																					import torch

																					UpperCamelCase   ,						UpperCamelCase				:		Dict				   =			common_inputs["""input_ids"""].shape
																					# Not using the same length for past_key_values
																					UpperCamelCase				:		Dict				   =			seqlen + 2
																					UpperCamelCase				:		Union[str, Any]				   =			(
																					    batch,
																					    self.num_attention_heads,
																					    past_key_values_length,
																					    self._config.hidden_size // self.num_attention_heads,
																					)
																					UpperCamelCase				:		List[Any]				   =			[
																					    (torch.zeros(_A    ), torch.zeros(_A    )) for _ in range(self.num_layers    )
																					]

									UpperCamelCase				:		str				   =			common_inputs["""attention_mask"""]
									if self.use_past:
															UpperCamelCase				:		Any				   =			ordered_inputs["""attention_mask"""].dtype
															UpperCamelCase				:		List[Any]				   =			torch.cat(
															    [ordered_inputs["""attention_mask"""], torch.ones(_A						,   _A						,   dtype=_A    )]						,   dim=1    )

									return ordered_inputs







			@property
			def   _a      (      self    ):






									'''simple docstring'''







									return 1_3



