



'''simple docstring'''

snake_case_			=     frozenset(
    [
        """prompt""",
        """height""",
        """width""",
        """guidance_scale""",
        """negative_prompt""",
        """prompt_embeds""",
        """negative_prompt_embeds""",
        """cross_attention_kwargs""",
    ]
)

snake_case_			=     frozenset(["""prompt""", """negative_prompt"""])

snake_case_			=     frozenset([])

snake_case_			=     frozenset(["""image"""])

snake_case_			=     frozenset(
    [
        """image""",
        """height""",
        """width""",
        """guidance_scale""",
    ]
)

snake_case_			=     frozenset(["""image"""])

snake_case_			=     frozenset(
    [
        """prompt""",
        """image""",
        """height""",
        """width""",
        """guidance_scale""",
        """negative_prompt""",
        """prompt_embeds""",
        """negative_prompt_embeds""",
    ]
)

snake_case_			=     frozenset(["""prompt""", """image""", """negative_prompt"""])

snake_case_			=     frozenset(
    [
        # Text guided image variation with an image mask
        """prompt""",
        """image""",
        """mask_image""",
        """height""",
        """width""",
        """guidance_scale""",
        """negative_prompt""",
        """prompt_embeds""",
        """negative_prompt_embeds""",
    ]
)

snake_case_			=     frozenset(["""prompt""", """image""", """mask_image""", """negative_prompt"""])

snake_case_			=     frozenset(
    [
        # image variation with an image mask
        """image""",
        """mask_image""",
        """height""",
        """width""",
        """guidance_scale""",
    ]
)

snake_case_			=     frozenset(["""image""", """mask_image"""])

snake_case_			=     frozenset(
    [
        """example_image""",
        """image""",
        """mask_image""",
        """height""",
        """width""",
        """guidance_scale""",
    ]
)

snake_case_			=     frozenset(["""example_image""", """image""", """mask_image"""])

snake_case_			=     frozenset(["""class_labels"""])

snake_case_			=     frozenset(["""class_labels"""])

snake_case_			=     frozenset(["""batch_size"""])

snake_case_			=     frozenset([])

snake_case_			=     frozenset(["""batch_size"""])

snake_case_			=     frozenset([])

snake_case_			=     frozenset(
    [
        """prompt""",
        """audio_length_in_s""",
        """guidance_scale""",
        """negative_prompt""",
        """prompt_embeds""",
        """negative_prompt_embeds""",
        """cross_attention_kwargs""",
    ]
)

snake_case_			=     frozenset(["""prompt""", """negative_prompt"""])
snake_case_			=     frozenset(["""input_tokens"""])

snake_case_			=     frozenset(["""input_tokens"""])









'''simple docstring'''

import heapq
import sys

import numpy as np

snake_case_			=     tuple[int, int]


class 	a__     :


	def __init__(self : int      )     ->			int:

					"""simple docstring"""

					SCREAMING_SNAKE_CASE  :						str      					= []
					SCREAMING_SNAKE_CASE  :						Tuple      					= set()


	def 				lowercase__  (self : Any      )     ->			Dict:

					"""simple docstring"""

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


	def 				lowercase__  (self : Dict      )     ->			Union[str, Any]:

					"""simple docstring"""

					return len(self.elements      ) == 0


	def 				lowercase__  (self : Dict,					__UpperCAmelCase : int,					__UpperCAmelCase : List[Any]      )     ->			Tuple:

					"""simple docstring"""

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


	def 				lowercase__  (self : Union[str, Any],					__UpperCAmelCase : Optional[Any]      )     ->			Optional[int]:

					"""simple docstring"""

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


	def 				lowercase__  (self : Tuple      )     ->			Dict:

					"""simple docstring"""

					return self.elements[0][1]






	def 				lowercase__  (self : Optional[Any]      )     ->			Tuple:

					"""simple docstring"""

					((SCREAMING_SNAKE_CASE)					,					(SCREAMING_SNAKE_CASE))  :						Optional[int]      					= heapq.heappop(self.elements      )
					self.set.remove(__UpperCAmelCase      )
					return (priority, item)






def       __lowercase  (_SCREAMING_SNAKE_CASE      :TPos    ,	_SCREAMING_SNAKE_CASE      :TPos       ):
				# euclidean distance
				SCREAMING_SNAKE_CASE  :						str      					= np.array(_SCREAMING_SNAKE_CASE       )
				SCREAMING_SNAKE_CASE  :						List[Any]      					= np.array(_SCREAMING_SNAKE_CASE       )
				return np.linalg.norm(a - b       )






def       __lowercase  (_SCREAMING_SNAKE_CASE      :TPos    ,	_SCREAMING_SNAKE_CASE      :TPos       ):
				# integer division by time variable
				return consistent_heuristic(_SCREAMING_SNAKE_CASE    ,	_SCREAMING_SNAKE_CASE       ) // t






def       __lowercase  (_SCREAMING_SNAKE_CASE      :TPos    ,	_SCREAMING_SNAKE_CASE      :TPos       ):
				# manhattan distance
				return abs(p[0] - goal[0]       ) + abs(p[1] - goal[1]       )






def       __lowercase  (_SCREAMING_SNAKE_CASE      :TPos    ,	_SCREAMING_SNAKE_CASE      :int    ,	_SCREAMING_SNAKE_CASE      :TPos    ,	_SCREAMING_SNAKE_CASE      :dict[TPos, float]       ):
				SCREAMING_SNAKE_CASE  :						List[str]      					= g_function[start] + Wa * heuristics[i](_SCREAMING_SNAKE_CASE    ,	_SCREAMING_SNAKE_CASE       )
				return ans






def       __lowercase  (_SCREAMING_SNAKE_CASE      :Optional[Any]    ,	_SCREAMING_SNAKE_CASE      :List[str]    ,	_SCREAMING_SNAKE_CASE      :Tuple       ):
				SCREAMING_SNAKE_CASE  :						Optional[int]      					= np.chararray((n, n)       )
				for i in range(_SCREAMING_SNAKE_CASE       ):
								for j in range(_SCREAMING_SNAKE_CASE       ):
												SCREAMING_SNAKE_CASE  :						Tuple      					= '''*'''

				for i in range(_SCREAMING_SNAKE_CASE       ):
								for j in range(_SCREAMING_SNAKE_CASE       ):
												if (j, (n - 1) - i) in blocks:
																SCREAMING_SNAKE_CASE  :						Tuple      					= '''#'''

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

				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:-'''       )
				SCREAMING_SNAKE_CASE  :						Union[str, Any]      					= back_pointer[goal]
				while x != start:
								print(_SCREAMING_SNAKE_CASE    ,	end=''' '''       )
								SCREAMING_SNAKE_CASE  :						Optional[int]      					= back_pointer[x]
				print(_SCREAMING_SNAKE_CASE       )
				sys.exit()






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

												if valid(_SCREAMING_SNAKE_CASE       ) and g_function[neighbours] > g_function[s] + 1:
																SCREAMING_SNAKE_CASE  :						List[str]      					= g_function[s] + 1
																SCREAMING_SNAKE_CASE  :						Optional[Any]      					= 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       __lowercase  ():
				SCREAMING_SNAKE_CASE  :						Optional[int]      					= []
				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


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

snake_case_			=     [
    (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),
]
snake_case_			=     make_common_ground()


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

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

snake_case_			=     1






def       __lowercase  (_SCREAMING_SNAKE_CASE      :TPos    ,	_SCREAMING_SNAKE_CASE      :TPos    ,	_SCREAMING_SNAKE_CASE      :int       ):
				SCREAMING_SNAKE_CASE  :						Any      					= {start: 0, goal: float('''inf'''       )}
				SCREAMING_SNAKE_CASE  :						Tuple      					= {start: -1, goal: -1}
				SCREAMING_SNAKE_CASE  :						Tuple      					= []
				SCREAMING_SNAKE_CASE  :						Union[str, Any]      					= 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       )       )

				SCREAMING_SNAKE_CASE  :						list[int]      					= []
				SCREAMING_SNAKE_CASE  :						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:
																				SCREAMING_SNAKE_CASE					,					SCREAMING_SNAKE_CASE  :						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:
																				SCREAMING_SNAKE_CASE  :						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)




