



'''simple docstring'''





from queue import PriorityQueue
from typing import Any

import numpy as np




def lowerCAmelCase  (__A  ,	__A  ,	__A  ,	__A  ,	__A  ,	__A  ,	__A  ,	__A  ,	__A  ,	):



     """simple docstring"""



     for nxt, d in graph[v]:
          if nxt in visited_forward:
               continue
          _a      =  cst_fwd.get(__A  ,	np.inf)
          _a      =  cst_fwd[v] + d
          if new_cost_f < old_cost_f:
               queue.put((new_cost_f, nxt))
               _a      =  new_cost_f
               _a      =  v
          if nxt in visited_backward:
               if cst_fwd[v] + d + cst_bwd[nxt] < shortest_distance:
                    _a      =  cst_fwd[v] + d + cst_bwd[nxt]
     return shortest_distance




def lowerCAmelCase  (__A  ,	__A  ,	__A  ,	__A):



     """simple docstring"""



     _a      =  -1

     _a      =  set()
     _a      =  set()
     _a      =  {source: 0}
     _a      =  {destination: 0}
     _a      =  {source: None}
     _a      =  {destination: None}
     _a      =  PriorityQueue()
     _a      =  PriorityQueue()

     _a      =  np.inf

     queue_forward.put((0, source))
     queue_backward.put((0, destination))

     if source == destination:
          return 0

     while not queue_forward.empty() and not queue_backward.empty():
          _a  ,    _a      =  queue_forward.get()
          visited_forward.add(__A)

          _a  ,    _a      =  queue_backward.get()
          visited_backward.add(__A)

          _a      =  pass_and_relaxation(
              __A  ,	__A  ,	__A  ,	__A  ,	__A  ,	__A  ,	__A  ,	__A  ,	__A  ,	)

          _a      =  pass_and_relaxation(
              __A  ,	__A  ,	__A  ,	__A  ,	__A  ,	__A  ,	__A  ,	__A  ,	__A  ,	)

          if cst_fwd[v_fwd] + cst_bwd[v_bwd] >= shortest_distance:
               break

     if shortest_distance != np.inf:
          _a      =  shortest_distance
     return shortest_path_distance


lowercase_		       =  {
    "B": [["C", 1]],
    "C": [["D", 1]],
    "D": [["F", 1]],
    "E": [["B", 1], ["G", 2]],
    "F": [],
    "G": [["F", 1]],
}
lowercase_		       =  {
    "B": [["E", 1]],
    "C": [["B", 1]],
    "D": [["C", 1]],
    "F": [["D", 1], ["G", 1]],
    "E": [[None, np.inf]],
    "G": [["E", 2]],
}

if __name__ == "__main__":
  import doctest

  doctest.testmod()








'''simple docstring'''





def lowerCAmelCase  (__A):



     """simple docstring"""



     if not isinstance(__A  ,	__A):
          raise ValueError('''multiplicative_persistence() only accepts integral values''')
     if num < 0:
          raise ValueError('''multiplicative_persistence() does not accept negative values''')

     _a      =  0
     _a      =  str(__A)

     while len(__A) != 1:
          _a      =  [int(__A) for i in num_string]

          _a      =  1
          for i in range(0  ,	len(__A)):
               total *= numbers[i]

          _a      =  str(__A)

          steps += 1
     return steps




def lowerCAmelCase  (__A):



     """simple docstring"""



     if not isinstance(__A  ,	__A):
          raise ValueError('''additive_persistence() only accepts integral values''')
     if num < 0:
          raise ValueError('''additive_persistence() does not accept negative values''')

     _a      =  0
     _a      =  str(__A)

     while len(__A) != 1:
          _a      =  [int(__A) for i in num_string]

          _a      =  0
          for i in range(0  ,	len(__A)):
               total += numbers[i]

          _a      =  str(__A)

          steps += 1
     return steps


if __name__ == "__main__":
  import doctest

  doctest.testmod()



