


import heapq
import sys

import numpy as np

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






class   UpperCamelCase       :


   '''simple docstring'''







   def __init__(  self		):
        lowercase_							:str			     =							[]
        lowercase_							:int			     =							set()
   def 		UpperCamelCase	(  self		):



        if not self.empty():
             return self.elements[0][0]
        else:
             return float('''inf'''		)
   def 		UpperCamelCase	(  self		):
        return len(self.elements		) == 0
   def 		UpperCamelCase	(  self ,				UpperCamelCase_ ,				UpperCamelCase_		):



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



        if item in self.set:
             self.set.remove(__UpperCAmelCase		)
             lowercase_							:Optional[int]			     =							[]
             (lowercase_)							:Optional[Any]			     =							heapq.heappop(self.elements		)
             while x != item:
                  temp.append((pro, x)		)
                  (lowercase_)							:List[Any]			     =							heapq.heappop(self.elements		)
             for prito, yyy in temp:
                  heapq.heappush(self.elements ,				(prito, yyy)		)
   def 		UpperCamelCase	(  self		):
        return self.elements[0][1]




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




def      UpperCamelCase     (   _a							,		_a		)       ->				int:
     '''simple docstring'''





     lowercase_							:Optional[int]			     =							np.array(__UpperCamelCase		)
     lowercase_							:int			     =							np.array(__UpperCamelCase		)
     return np.linalg.norm(a - b		)




def      UpperCamelCase     (   _a							,		_a		)       ->				Optional[int]:
     '''simple docstring'''





     return consistent_heuristic(__UpperCamelCase							,		__UpperCamelCase		) // t




def      UpperCamelCase     (   _a							,		_a		)       ->				Dict:
     '''simple docstring'''





     return abs(p[0] - goal[0]		) + abs(p[1] - goal[1]		)




def      UpperCamelCase     (   _a							,		_a							,		_a							,		_a		)       ->				Any:
     '''simple docstring'''





     lowercase_							:int			     =							g_function[start] + Wa * heuristics[i](__UpperCamelCase							,		__UpperCamelCase		)
     return ans




def      UpperCamelCase     (   _a							,		_a							,		_a		)       ->				Dict:
     '''simple docstring'''





     lowercase_							:Union[str, Any]			     =							np.chararray((n, n)		)
     for i in range(__UpperCamelCase		):
          for j in range(__UpperCamelCase		):
               lowercase_							:Dict			     =							"*"

     for i in range(__UpperCamelCase		):
          for j in range(__UpperCamelCase		):
               if (j, (n - 1) - i) in blocks:
                    lowercase_							:Dict			     =							"#"

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

     for i in range(__UpperCamelCase		):
          for j in range(__UpperCamelCase		):
               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_							:int			     =							back_pointer[goal]
     while x != start:
          print(__UpperCamelCase							,		end=''' '''		)
          lowercase_							:Any			     =							back_pointer[x]
     print(__UpperCamelCase		)
     sys.exit()




def      UpperCamelCase     (   _a		)       ->				Tuple:
     '''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     (   _a							,		_a							,		_a							,		_a							,		_a							,		_a							,		_a							,		_a							,		)       ->				Optional[int]:
     '''simple docstring'''





     for itera in range(__UpperCamelCase		):
          open_list[itera].remove_element(__UpperCamelCase		)
     # print("s", s)
     # print("j", j)
     (lowercase_)							:Dict			     =							s
     lowercase_							:List[str]			     =							(x - 1, y)
     lowercase_							:str			     =							(x + 1, y)
     lowercase_							:Any			     =							(x, y + 1)
     lowercase_							:Union[str, Any]			     =							(x, y - 1)

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

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




def      UpperCamelCase     (   )       ->				List[str]:
     '''simple docstring'''





     lowercase_							:str			     =							[]
     for x in range(1							,		5		):
          for y in range(1							,		6		):
               some_list.append((x, y)		)

     for x in range(1_5							,		2_0		):
          some_list.append((x, 1_7)		)

     for x in range(1_0							,		1_9		):
          for y in range(1							,		1_5		):
               some_list.append((x, y)		)

    # L block
     for x in range(1							,		4		):
          for y in range(1_2							,		1_9		):
               some_list.append((x, y)		)
     for x in range(3							,		1_3		):
          for y in range(1_6							,		1_9		):
               some_list.append((x, y)		)
     return some_list


SCREAMING_SNAKE_CASE							:		Dict       =					{0: consistent_heuristic, 1: heuristic_a, 2: heuristic_a}

SCREAMING_SNAKE_CASE							:		Union[str, Any]       =					[
    (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),
]
SCREAMING_SNAKE_CASE							:		List[Any]       =					make_common_ground()


SCREAMING_SNAKE_CASE							:		Any       =					blocks_blk
# hyper parameters
SCREAMING_SNAKE_CASE							:		Union[str, Any]       =					1
SCREAMING_SNAKE_CASE							:		str       =					1
SCREAMING_SNAKE_CASE							:		Optional[int]       =					20
SCREAMING_SNAKE_CASE							:		Tuple       =					3  # one consistent and two other inconsistent

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

SCREAMING_SNAKE_CASE							:		List[str]       =					1




def      UpperCamelCase     (   _a							,		_a							,		_a		)       ->				Tuple:
     '''simple docstring'''





     lowercase_							:Optional[Any]			     =							{start: 0, goal: float('''inf'''		)}
     lowercase_							:int			     =							{start: -1, goal: -1}
     lowercase_							:Optional[int]			     =							[]
     lowercase_							:List[Any]			     =							set()

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

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






import qiskit






def     SCREAMING_SNAKE_CASE(      __UpperCamelCase = 2 )	->						qiskit.result.counts.Counts:
				a__	:							Any      						= qubits

				# Using Aer's simulator
				a__	:							Dict      						= qiskit.Aer.get_backend("aer_simulator" )

				# Creating a Quantum Circuit acting on the q register
				a__	:							Dict      						= qiskit.QuantumCircuit(__UpperCamelCase	,				__UpperCamelCase )

				# Adding a H gate on qubit 0 (now q0 in superposition)
				circuit.h(0 )

				for i in range(1	,				__UpperCamelCase ):
								# Adding CX (CNOT) gate
								circuit.cx(i - 1	,				__UpperCamelCase )

				# Mapping the quantum measurement to the classical bits
				circuit.measure(list(range(__UpperCamelCase ) )	,				list(range(__UpperCamelCase ) ) )

				# Now measuring any one qubit would affect other qubits to collapse
				# their super position and have same state as the measured one.

				# Executing the circuit on the simulator
				a__	:							Any      						= qiskit.execute(__UpperCamelCase	,				__UpperCamelCase	,				shots=10_00 )

				return job.result().get_counts(__UpperCamelCase )


if __name__ == "__main__":
						print(F'Total count for various states are: {quantum_entanglement(3)}')


