

'''simple docstring'''





import heapq
import sys

import numpy as np

UpperCamelCase_							=					tuple[int, int]





class 		__SCREAMING_SNAKE_CASE       :







				def __init__(					self    :		Dict      ):
										'''simple docstring'''
										lowercase   :       Dict								=[]
										lowercase   :       Tuple								=set()







				def    lowerCamelCase_  (					self    :		Optional[Any]      ):
										'''simple docstring'''
										if not self.empty():
																return self.elements[0][0]
										else:
																return float('''inf'''      )







				def    lowerCamelCase_  (					self    :		Union[str, Any]      ):
										'''simple docstring'''
										return len(self.elements      ) == 0







				def    lowerCamelCase_  (					self    :		List[str]		,				UpperCAmelCase__    :		Any		,				UpperCAmelCase__    :		str      ):
										'''simple docstring'''
										if item not in self.set:
																heapq.heappush(self.elements		,				(priority, item)      )
																self.set.add(UpperCAmelCase__      )
										else:
																# update
																# print("update", item)
																lowercase   :       List[Any]								=[]
																((lowercase)		,  (lowercase))   :       str								=heapq.heappop(self.elements      )
																while x != item:
																						temp.append((pri, x)      )
																						((lowercase)		,  (lowercase))   :       List[Any]								=heapq.heappop(self.elements      )
																temp.append((priority, item)      )
																for pro, xxx in temp:
																						heapq.heappush(self.elements		,				(pro, xxx)      )







				def    lowerCamelCase_  (					self    :		Dict		,				UpperCAmelCase__    :		int      ):
										'''simple docstring'''
										if item in self.set:
																self.set.remove(UpperCAmelCase__      )
																lowercase   :       Union[str, Any]								=[]
																((lowercase)		,  (lowercase))   :       List[Any]								=heapq.heappop(self.elements      )
																while x != item:
																						temp.append((pro, x)      )
																						((lowercase)		,  (lowercase))   :       Union[str, Any]								=heapq.heappop(self.elements      )
																for prito, yyy in temp:
																						heapq.heappush(self.elements		,				(prito, yyy)      )







				def    lowerCamelCase_  (					self    :		Any      ):
										'''simple docstring'''
										return self.elements[0][1]







				def    lowerCamelCase_  (					self    :		Tuple      ):
										'''simple docstring'''
										((lowercase)		,  (lowercase))   :       str								=heapq.heappop(self.elements      )
										self.set.remove(UpperCAmelCase__      )
										return (priority, item)






def 							_lowerCAmelCase (      __magic_name__	:    TPos      ,   __magic_name__	:    TPos	)							->     int:
						# euclidean distance
						lowercase   :       Tuple								=np.array(__magic_name__	)
						lowercase   :       Dict								=np.array(__magic_name__	)
						return np.linalg.norm(a - b	)






def 							_lowerCAmelCase (      __magic_name__	:    TPos      ,   __magic_name__	:    TPos	)							->     Dict:
						# integer division by time variable
						return consistent_heuristic(__magic_name__      ,   __magic_name__	) // t






def 							_lowerCAmelCase (      __magic_name__	:    TPos      ,   __magic_name__	:    TPos	)							->     List[Any]:
						# manhattan distance
						return abs(p[0] - goal[0]	) + abs(p[1] - goal[1]	)






def 							_lowerCAmelCase (      __magic_name__	:    TPos      ,   __magic_name__	:    int      ,   __magic_name__	:    TPos      ,   __magic_name__	:    dict[TPos, float]	)							->     int:
						lowercase   :       Tuple								=g_function[start] + Wa * heuristics[i](__magic_name__      ,   __magic_name__	)
						return ans






def 							_lowerCAmelCase (      __magic_name__	:    Dict      ,   __magic_name__	:    int      ,   __magic_name__	:    int	)							->     Optional[Any]:
						lowercase   :       List[str]								=np.chararray((n, n)	)
						for i in range(__magic_name__	):
												for j in range(__magic_name__	):
																		lowercase   :       int								='''*'''

						for i in range(__magic_name__	):
												for j in range(__magic_name__	):
																		if (j, (n - 1) - i) in blocks:
																								lowercase   :       Dict								='''#'''

						lowercase   :       List[Any]								='''-'''
						lowercase   :       Dict								=back_pointer[goal]
						while x != start:
												((lowercase)		,  (lowercase))   :       str								=x
												# print(x)
												lowercase   :       List[str]								='''-'''
												lowercase   :       int								=back_pointer[x]
						lowercase   :       Union[str, Any]								='''-'''

						for i in range(__magic_name__	):
												for j in range(__magic_name__	):
																		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:-'''	)
						lowercase   :       List[Any]								=back_pointer[goal]
						while x != start:
												print(__magic_name__      ,   end=''' '''	)
												lowercase   :       Dict								=back_pointer[x]
						print(__magic_name__	)
						sys.exit()






def 							_lowerCAmelCase (      __magic_name__	:    TPos	)							->     int:
						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 							_lowerCAmelCase (      __magic_name__	:    List[str]      ,   __magic_name__	:    List[str]      ,   __magic_name__	:    Optional[int]      ,   __magic_name__	:    List[Any]      ,   __magic_name__	:    Optional[Any]      ,   __magic_name__	:    Any      ,   __magic_name__	:    Tuple      ,   __magic_name__	:    Optional[int]      ,   )							->     List[str]:
						for itera in range(__magic_name__	):
												open_list[itera].remove_element(__magic_name__	)
						# print("s", s)
						# print("j", j)
						((lowercase)		,  (lowercase))   :       str								=s
						lowercase   :       Union[str, Any]								=(x - 1, y)
						lowercase   :       Dict								=(x + 1, y)
						lowercase   :       int								=(x, y + 1)
						lowercase   :       str								=(x, y - 1)

						for neighbours in [left, right, up, down]:
												if neighbours not in blocks:
																		if valid(__magic_name__	) and neighbours not in visited:
																								# print("neighbour", neighbours)
																								visited.add(__magic_name__	)
																								lowercase   :       Optional[int]								=-1
																								lowercase   :       Optional[Any]								=float('''inf'''	)

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






def 							_lowerCAmelCase (      )							->     Optional[Any]:
						lowercase   :       str								=[]
						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


UpperCamelCase_							=					{0: consistent_heuristic, 1: heuristic_a, 2: heuristic_a}

UpperCamelCase_							=					[
    (0, 1),
    (1, 1),
    (2, 1),
    (3, 1),
    (4, 1),
    (5, 1),
    (6, 1),
    (7, 1),
    (8, 1),
    (9, 1),
    (10, 1),
    (11, 1),
    (12, 1),
    (13, 1),
    (14, 1),
    (15, 1),
    (16, 1),
    (17, 1),
    (18, 1),
    (19, 1),
]
UpperCamelCase_							=					make_common_ground()


UpperCamelCase_							=					blocks_blk
# hyper parameters
UpperCamelCase_							=					1
UpperCamelCase_							=					1
UpperCamelCase_							=					20
UpperCamelCase_							=					3  # one consistent and two other inconsistent

# start and end destination
UpperCamelCase_							=					(0, 0)
UpperCamelCase_							=					(n - 1, n - 1)

UpperCamelCase_							=					1






def 							_lowerCAmelCase (      __magic_name__	:    TPos      ,   __magic_name__	:    TPos      ,   __magic_name__	:    int	)							->     List[Any]:
						lowercase   :       Any								={start: 0, goal: float('''inf'''	)}
						lowercase   :       Optional[int]								={start: -1, goal: -1}
						lowercase   :       Any								=[]
						lowercase   :       Union[str, Any]								=set()

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

						lowercase   :       list[int]								=[]
						lowercase   :       list[int]								=[]
						while open_list[0].minkey() < float('''inf'''	):
												for i in range(1      ,   __magic_name__	):
																		# 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(__magic_name__      ,   __magic_name__      ,   __magic_name__	)
																								else:
																														lowercase		,  lowercase   :       Tuple								=open_list[i].top_show()
																														visited.add(__magic_name__	)
																														expand_state(
																														    __magic_name__      ,   __magic_name__      ,   __magic_name__      ,   __magic_name__      ,   __magic_name__      ,   __magic_name__      ,   __magic_name__      ,   __magic_name__      ,   )
																														close_list_inad.append(__magic_name__	)
																		else:
																								if g_function[goal] <= open_list[0].minkey():
																														if g_function[goal] < float('''inf'''	):
																																				do_something(__magic_name__      ,   __magic_name__      ,   __magic_name__	)
																								else:
																														lowercase   :       Union[str, Any]								=open_list[0].top_show()
																														visited.add(__magic_name__	)
																														expand_state(
																														    __magic_name__      ,   0      ,   __magic_name__      ,   __magic_name__      ,   __magic_name__      ,   __magic_name__      ,   __magic_name__      ,   __magic_name__      ,   )
																														close_list_anchor.append(__magic_name__	)
						print('''No path found to goal'''	)
						print()
						for i in range(n - 1      ,   -1      ,   -1	):
												for j in range(__magic_name__	):
																		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'''





import unittest

import numpy as np

from transformers import RobertaConfig, is_flax_available
from transformers.testing_utils import require_flax, slow

from ...test_modeling_flax_common import FlaxModelTesterMixin, floats_tensor, ids_tensor, random_attention_mask


if is_flax_available():
							from transformers.models.roberta.modeling_flax_roberta import (
							    FlaxRobertaForCausalLM,
							    FlaxRobertaForMaskedLM,
							    FlaxRobertaForMultipleChoice,
							    FlaxRobertaForQuestionAnswering,
							    FlaxRobertaForSequenceClassification,
							    FlaxRobertaForTokenClassification,
							    FlaxRobertaModel,
							)





class 		__SCREAMING_SNAKE_CASE       ( unittest.TestCase			):







				def __init__(					self    :		Optional[Any]		,				UpperCAmelCase__    :		Tuple		,				UpperCAmelCase__    :		str=13		,				UpperCAmelCase__    :		Optional[Any]=7		,				UpperCAmelCase__    :		Dict=True		,				UpperCAmelCase__    :		int=True		,				UpperCAmelCase__    :		int=True		,				UpperCAmelCase__    :		Dict=True		,				UpperCAmelCase__    :		Dict=99		,				UpperCAmelCase__    :		str=32		,				UpperCAmelCase__    :		Optional[Any]=5		,				UpperCAmelCase__    :		Any=4		,				UpperCAmelCase__    :		List[Any]=37		,				UpperCAmelCase__    :		str="gelu"		,				UpperCAmelCase__    :		Dict=0.1		,				UpperCAmelCase__    :		List[Any]=0.1		,				UpperCAmelCase__    :		Optional[Any]=512		,				UpperCAmelCase__    :		Any=16		,				UpperCAmelCase__    :		str=2		,				UpperCAmelCase__    :		Tuple=0.02		,				UpperCAmelCase__    :		int=4		,				):
										'''simple docstring'''
										lowercase   :       int								=parent
										lowercase   :       List[str]								=batch_size
										lowercase   :       str								=seq_length
										lowercase   :       Optional[Any]								=is_training
										lowercase   :       Union[str, Any]								=use_attention_mask
										lowercase   :       Optional[Any]								=use_token_type_ids
										lowercase   :       Tuple								=use_labels
										lowercase   :       List[str]								=vocab_size
										lowercase   :       List[str]								=hidden_size
										lowercase   :       Tuple								=num_hidden_layers
										lowercase   :       Any								=num_attention_heads
										lowercase   :       List[str]								=intermediate_size
										lowercase   :       Optional[Any]								=hidden_act
										lowercase   :       Dict								=hidden_dropout_prob
										lowercase   :       List[Any]								=attention_probs_dropout_prob
										lowercase   :       Optional[Any]								=max_position_embeddings
										lowercase   :       Tuple								=type_vocab_size
										lowercase   :       Optional[int]								=type_sequence_label_size
										lowercase   :       Optional[Any]								=initializer_range
										lowercase   :       Optional[int]								=num_choices







				def    lowerCamelCase_  (					self    :		str      ):
										'''simple docstring'''
										lowercase   :       Optional[Any]								=ids_tensor([self.batch_size, self.seq_length]		,				self.vocab_size      )

										lowercase   :       Union[str, Any]								=None
										if self.use_attention_mask:
																lowercase   :       List[str]								=random_attention_mask([self.batch_size, self.seq_length]      )

										lowercase   :       Tuple								=None
										if self.use_token_type_ids:
																lowercase   :       str								=ids_tensor([self.batch_size, self.seq_length]		,				self.type_vocab_size      )

										lowercase   :       int								=RobertaConfig(
										    vocab_size=self.vocab_size		,				hidden_size=self.hidden_size		,				num_hidden_layers=self.num_hidden_layers		,				num_attention_heads=self.num_attention_heads		,				intermediate_size=self.intermediate_size		,				hidden_act=self.hidden_act		,				hidden_dropout_prob=self.hidden_dropout_prob		,				attention_probs_dropout_prob=self.attention_probs_dropout_prob		,				max_position_embeddings=self.max_position_embeddings		,				type_vocab_size=self.type_vocab_size		,				is_decoder=UpperCAmelCase__		,				initializer_range=self.initializer_range		,				)

										return config, input_ids, token_type_ids, attention_mask







				def    lowerCamelCase_  (					self    :		Dict      ):
										'''simple docstring'''
										lowercase   :       List[Any]								=self.prepare_config_and_inputs()
										lowercase		,  lowercase		,  lowercase		,  lowercase   :       str								=config_and_inputs
										lowercase   :       Optional[Any]								={'''input_ids''': input_ids, '''token_type_ids''': token_type_ids, '''attention_mask''': attention_mask}
										return config, inputs_dict







				def    lowerCamelCase_  (					self    :		Optional[Any]      ):
										'''simple docstring'''
										lowercase   :       List[str]								=self.prepare_config_and_inputs()
										lowercase		,  lowercase		,  lowercase		,  lowercase   :       Any								=config_and_inputs

										lowercase   :       List[str]								=True
										lowercase   :       Optional[Any]								=floats_tensor([self.batch_size, self.seq_length, self.hidden_size]      )
										lowercase   :       str								=ids_tensor([self.batch_size, self.seq_length]		,				vocab_size=2      )

										return (
										    config,
										    input_ids,
										    token_type_ids,
										    encoder_hidden_states,
										    encoder_attention_mask,
										)





@require_flax
class 		__SCREAMING_SNAKE_CASE       ( lowercase__	,       unittest.TestCase			):
				lowerCamelCase_							=						True

				lowerCamelCase_							=						(
				    (
				        FlaxRobertaModel,
				        FlaxRobertaForCausalLM,
				        FlaxRobertaForMaskedLM,
				        FlaxRobertaForSequenceClassification,
				        FlaxRobertaForTokenClassification,
				        FlaxRobertaForMultipleChoice,
				        FlaxRobertaForQuestionAnswering,
				    )
				    if is_flax_available()
				    else ()
				)







				def    lowerCamelCase_  (					self    :		List[Any]      ):
										'''simple docstring'''
										lowercase   :       str								=FlaxRobertaModelTester(self      )







				@slow
				def    lowerCamelCase_  (					self    :		Optional[int]      ):
										'''simple docstring'''
										for model_class_name in self.all_model_classes:
																lowercase   :       Optional[int]								=model_class_name.from_pretrained('''roberta-base'''		,				from_pt=UpperCAmelCase__      )
																lowercase   :       List[Any]								=model(np.ones((1, 1)      )      )
																self.assertIsNotNone(UpperCAmelCase__      )





