
import heapq
import sys

import numpy as np

lowercase__		:Dict   =    tuple[int, int]







class 				lowercase		:




							def __init__(				self):
												lowercase							=						[]
												lowercase							=						set()




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




							def  A__      (				self):
												return len(self.elements) == 0




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




							def  A__      (				self   ,A__):
												if item in self.set:
																	self.set.remove(A__)
																	lowercase							=						[]
																	((lowercase)	,						(lowercase))							=						heapq.heappop(self.elements)
																	while x != item:
																						temp.append((pro, x))
																						((lowercase)	,						(lowercase))							=						heapq.heappop(self.elements)
																	for prito, yyy in temp:
																						heapq.heappush(self.elements   ,(prito, yyy))




							def  A__      (				self):
												return self.elements[0][1]





							def  A__      (				self):
												((lowercase)	,						(lowercase))							=						heapq.heappop(self.elements)
												self.set.remove(A__)
												return (priority, item)



def        UpperCamelCase    (							lowerCAmelCase__ ,			lowerCAmelCase__		):
					'''simple docstring'''
					# euclidean distance
					lowercase							=						np.array(lowerCAmelCase__		)
					lowercase							=						np.array(lowerCAmelCase__		)
					return np.linalg.norm(a - b		)



def        UpperCamelCase    (							lowerCAmelCase__ ,			lowerCAmelCase__		):
					'''simple docstring'''
					# integer division by time variable
					return consistent_heuristic(lowerCAmelCase__ ,			lowerCAmelCase__		) // t



def        UpperCamelCase    (							lowerCAmelCase__ ,			lowerCAmelCase__		):
					'''simple docstring'''
					# manhattan distance
					return abs(p[0] - goal[0]		) + abs(p[1] - goal[1]		)



def        UpperCamelCase    (							lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__		):
					'''simple docstring'''
					lowercase							=						g_function[start] + Wa * heuristics[i](lowerCAmelCase__ ,			lowerCAmelCase__		)
					return ans



def        UpperCamelCase    (							lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__		):
					'''simple docstring'''
					lowercase							=						np.chararray((n, n)		)
					for i in range(lowerCAmelCase__		):
										for j in range(lowerCAmelCase__		):
															lowercase							=						'''*'''

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

					lowercase							=						'''-'''
					lowercase							=						back_pointer[goal]
					while x != start:
										((lowercase)	,						(lowercase))							=						x
										# print(x)
										lowercase							=						'''-'''
										lowercase							=						back_pointer[x]
					lowercase							=						'''-'''

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



def        UpperCamelCase    (							lowerCAmelCase__		):
					'''simple docstring'''
					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    (							lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			):
					'''simple docstring'''
					for itera in range(lowerCAmelCase__		):
										open_list[itera].remove_element(lowerCAmelCase__		)
					# print("s", s)
					# print("j", j)
					((lowercase)	,						(lowercase))							=						s
					lowercase							=						(x - 1, y)
					lowercase							=						(x + 1, y)
					lowercase							=						(x, y + 1)
					lowercase							=						(x, y - 1)

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

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



def        UpperCamelCase    (							):
					'''simple docstring'''
					lowercase							=						[]
					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


lowercase__		:Any   =    {0: consistent_heuristic, 1: heuristic_a, 2: heuristic_a}

lowercase__		:Dict   =    [
    (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),
]
lowercase__		:int   =    make_common_ground()


lowercase__		:Union[str, Any]   =    blocks_blk
# hyper parameters
lowercase__		:str   =    1
lowercase__		:List[str]   =    1
lowercase__		:str   =    20
lowercase__		:List[str]   =    3  # one consistent and two other inconsistent

# start and end destination
lowercase__		:List[Any]   =    (0, 0)
lowercase__		:List[str]   =    (n - 1, n - 1)

lowercase__		:str   =    1



def        UpperCamelCase    (							lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__		):
					'''simple docstring'''
					lowercase							=						{start: 0, goal: float('''inf'''		)}
					lowercase							=						{start: -1, goal: -1}
					lowercase							=						[]
					lowercase							=						set()

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

					lowercase							=						[]
					lowercase							=						[]
					while open_list[0].minkey() < float('''inf'''		):
										for i in range(1 ,			lowerCAmelCase__		):
															# 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(lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__		)
																				else:
																									lowercase	,						lowercase							=						open_list[i].top_show()
																									visited.add(lowerCAmelCase__		)
																									expand_state(
																									    lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			)
																									close_list_inad.append(lowerCAmelCase__		)
															else:
																				if g_function[goal] <= open_list[0].minkey():
																									if g_function[goal] < float('''inf'''		):
																														do_something(lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__		)
																				else:
																									lowercase							=						open_list[0].top_show()
																									visited.add(lowerCAmelCase__		)
																									expand_state(
																									    lowerCAmelCase__ ,			0 ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__ ,			)
																									close_list_anchor.append(lowerCAmelCase__		)
					print('''No path found to goal'''		)
					print()
					for i in range(n - 1 ,			-1 ,			-1		):
										for j in range(lowerCAmelCase__		):
															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 ...configuration_utils import PretrainedConfig
from ...utils import logging


__A					:  List[Any]											=      logging.get_logger(__name__)

__A					:  Optional[Any]											=      {
    "EleutherAI/gpt-neox-20b": "https://huggingface.co/EleutherAI/gpt-neox-20b/resolve/main/config.json",
    # See all GPTNeoX models at https://huggingface.co/models?filter=gpt_neox
}






class    __snake_case       (   _SCREAMING_SNAKE_CASE):







    """simple docstring"""



    lowercase    =					'gpt_neox'

    def __init__(   self    :  Optional[int]    ,						lowerCamelCase    :  Tuple=5_04_32    ,						lowerCamelCase    :  Optional[int]=61_44    ,						lowerCamelCase    :  Tuple=44    ,						lowerCamelCase    :  Any=64    ,						lowerCamelCase    :  List[Any]=2_45_76    ,						lowerCamelCase    :  List[Any]="gelu"    ,						lowerCamelCase    :  Optional[Any]=0.25    ,						lowerCamelCase    :  Any=1_00_00    ,						lowerCamelCase    :  Any=0.0    ,						lowerCamelCase    :  str=0.0    ,						lowerCamelCase    :  Optional[int]=0.1    ,						lowerCamelCase    :  List[Any]=20_48    ,						lowerCamelCase    :  List[Any]=0.02    ,						lowerCamelCase    :  Any=1E-5    ,						lowerCamelCase    :  Dict=True    ,						lowerCamelCase    :  Optional[int]=0    ,						lowerCamelCase    :  List[str]=2    ,						lowerCamelCase    :  Dict=False    ,						lowerCamelCase    :  Tuple=True    ,						lowerCamelCase    :  Optional[int]=None    ,						**lowerCamelCase    :  int    ,						)   ->  Optional[Any]:
      super().__init__(bos_token_id=lowerCamelCase    ,						eos_token_id=lowerCamelCase    ,						**lowerCamelCase		)
      lowerCAmelCase_			:      Tuple			=   vocab_size
      lowerCAmelCase_			:      Union[str, Any]			=   max_position_embeddings
      lowerCAmelCase_			:      Any			=   hidden_size
      lowerCAmelCase_			:      List[Any]			=   num_hidden_layers
      lowerCAmelCase_			:      Optional[int]			=   num_attention_heads
      lowerCAmelCase_			:      str			=   intermediate_size
      lowerCAmelCase_			:      int			=   hidden_act
      lowerCAmelCase_			:      List[Any]			=   rotary_pct
      lowerCAmelCase_			:      Any			=   rotary_emb_base
      lowerCAmelCase_			:      List[str]			=   attention_dropout
      lowerCAmelCase_			:      Union[str, Any]			=   hidden_dropout
      lowerCAmelCase_			:      Tuple			=   classifier_dropout
      lowerCAmelCase_			:      Union[str, Any]			=   initializer_range
      lowerCAmelCase_			:      Any			=   layer_norm_eps
      lowerCAmelCase_			:      str			=   use_cache
      lowerCAmelCase_			:      str			=   tie_word_embeddings
      lowerCAmelCase_			:      str			=   use_parallel_residual
      lowerCAmelCase_			:      Any			=   rope_scaling
      self._rope_scaling_validation()

      if self.hidden_size % self.num_attention_heads != 0:
        raise ValueError(
            """The hidden size is not divisble by the number of attention heads! Make sure to update them!"""		)





    def __lowercase   (   self    :  List[str]		)   ->  List[str]:
      if self.rope_scaling is None:
        return

      if not isinstance(self.rope_scaling    ,						lowerCamelCase		) or len(self.rope_scaling		) != 2:
        raise ValueError(
            """`rope_scaling` must be a dictionary with with two fields, `name` and `factor`, """
            F'got {self.rope_scaling}'		)
      lowerCAmelCase_			:      Optional[Any]			=   self.rope_scaling.get("""type"""    ,						lowerCamelCase		)
      lowerCAmelCase_			:      int			=   self.rope_scaling.get("""factor"""    ,						lowerCamelCase		)
      if rope_scaling_type is None or rope_scaling_type not in ["linear", "dynamic"]:
        raise ValueError(
            F'`rope_scaling`\'s name field must be one of [\'linear\', \'dynamic\'], got {rope_scaling_type}'		)
      if rope_scaling_factor is None or not isinstance(lowerCamelCase    ,						lowerCamelCase		) or rope_scaling_factor <= 1.0:
        raise ValueError(F'`rope_scaling`\'s factor field must be an float > 1, got {rope_scaling_factor}'		)



