
'''simple docstring'''
import heapq
import sys

import numpy as np

lowercase__											=tuple[int, int]







class   a_ :




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




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




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




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




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




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






			def 					lowerCAmelCase__					(       self	):
				((a_)				,  (a_))      				=						heapq.heappop(self.elements	)
				self.set.remove(UpperCAmelCase	)
				return (priority, item)







def      UpperCamelCase_				(      A__  ,      A__						):
	# euclidean distance
	a_      				=						np.array(A__						)
	a_      				=						np.array(A__						)
	return np.linalg.norm(a - b						)






def      UpperCamelCase_				(      A__  ,      A__						):
	# integer division by time variable
	return consistent_heuristic(A__  ,      A__						) // t






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






def      UpperCamelCase_				(      A__  ,      A__  ,      A__  ,      A__						):
	a_      				=						g_function[start] + Wa * heuristics[i](A__  ,      A__						)
	return ans






def      UpperCamelCase_				(      A__  ,      A__  ,      A__						):
	a_      				=						np.chararray((n, n)						)
	for i in range(A__						):
		for j in range(A__						):
			a_      				=						"""*"""

	for i in range(A__						):
		for j in range(A__						):
			if (j, (n - 1) - i) in blocks:
				a_      				=						"""#"""

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

	for i in range(A__						):
		for j in range(A__						):
			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:-"""						)
	a_      				=						back_pointer[goal]
	while x != start:
		print(A__  ,      end=""" """						)
		a_      				=						back_pointer[x]
	print(A__						)
	sys.exit()






def      UpperCamelCase_				(      A__						):
	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_				(      A__  ,      A__  ,      A__  ,      A__  ,      A__  ,      A__  ,      A__  ,      A__  ,      ):
	for itera in range(A__						):
		open_list[itera].remove_element(A__						)
	# print("s", s)
	# print("j", j)
	((a_)				,  (a_))      				=						s
	a_      				=						(x - 1, y)
	a_      				=						(x + 1, y)
	a_      				=						(x, y + 1)
	a_      				=						(x, y - 1)

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

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






def      UpperCamelCase_				(      ):
	a_      				=						[]
	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__											={0: consistent_heuristic, 1: heuristic_a, 2: heuristic_a}

lowercase__											=[
    (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__											=make_common_ground()


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

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

lowercase__											=1






def      UpperCamelCase_				(      A__  ,      A__  ,      A__						):
	a_      				=						{start: 0, goal: float("""inf"""						)}
	a_      				=						{start: -1, goal: -1}
	a_      				=						[]
	a_      				=						set()

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

	a_      				=						[]
	a_      				=						[]
	while open_list[0].minkey() < float("""inf"""						):
		for i in range(1  ,      A__						):
			# 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(A__  ,      A__  ,      A__						)
				else:
					a_				,  a_      				=						open_list[i].top_show()
					visited.add(A__						)
					expand_state(
					    A__  ,      A__  ,      A__  ,      A__  ,      A__  ,      A__  ,      A__  ,      A__  ,      )
					close_list_inad.append(A__						)
			else:
				if g_function[goal] <= open_list[0].minkey():
					if g_function[goal] < float("""inf"""						):
						do_something(A__  ,      A__  ,      A__						)
				else:
					a_      				=						open_list[0].top_show()
					visited.add(A__						)
					expand_state(
					    A__  ,      0  ,      A__  ,      A__  ,      A__  ,      A__  ,      A__  ,      A__  ,      )
					close_list_anchor.append(A__						)
	print("""No path found to goal"""						)
	print()
	for i in range(n - 1  ,      -1  ,      -1						):
		for j in range(A__						):
			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'''
def      UpperCamelCase_				(      A__						):
	if len(A__						) <= 1:
		return lst

	a_      				=						1

	while i < len(A__						):
		if lst[i - 1] <= lst[i]:
			i += 1
		else:
			a_				,  a_      				=						lst[i], lst[i - 1]
			i -= 1
			if i == 0:
				a_      				=						1

	return lst


if __name__ == "__main__":
		lowercase__											=input('Enter numbers separated by a comma:\n').strip()
		lowercase__											=[int(item) for item in user_input.split(',')]
		print(gnome_sort(unsorted))
