def 				UpperCamelCase					(     lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_ )		->    int:




       '''simple docstring'''






       return len_board * len_board_column * row + column

def 				UpperCamelCase					(     lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_							,       )		->    bool:




       '''simple docstring'''






       if board[row][column] != word[word_index]:
              return False

       if word_index == len(lowerCAmelCase_ ) - 1:
              return True

       _A=						[(0, 1), (0, -1), (-1, 0), (1, 0)]
       _A=						len(lowerCAmelCase_ )
       _A=						len(board[0] )
       for direction in traverts_directions:
              _A=						row + direction[0]
              _A=						column + direction[1]
              if not (0 <= next_i < len_board and 0 <= next_j < len_board_column):
                     continue

              _A=						get_point_key(lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_ )
              if key in visited_points_set:
                     continue

              visited_points_set.add(lowerCAmelCase_ )
              if exits_word(lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_							,       word_index + 1							,       lowerCAmelCase_ ):
                     return True

              visited_points_set.remove(lowerCAmelCase_ )

       return False

def 				UpperCamelCase					(     lowerCAmelCase_							,       lowerCAmelCase_ )		->    bool:




       '''simple docstring'''






       _A=						(
           'The board should be a non empty matrix of single chars strings.'
       )

       _A=						len(lowerCAmelCase_ )
       if not isinstance(lowerCAmelCase_							,       lowerCAmelCase_ ) or len(lowerCAmelCase_ ) == 0:
              raise ValueError(lowerCAmelCase_ )

       for row in board:
              if not isinstance(lowerCAmelCase_							,       lowerCAmelCase_ ) or len(lowerCAmelCase_ ) == 0:
                     raise ValueError(lowerCAmelCase_ )

              for item in row:
                     if not isinstance(lowerCAmelCase_							,       lowerCAmelCase_ ) or len(lowerCAmelCase_ ) != 1:
                            raise ValueError(lowerCAmelCase_ )

    # Validate word
       if not isinstance(lowerCAmelCase_							,       lowerCAmelCase_ ) or len(lowerCAmelCase_ ) == 0:
              raise ValueError(
                  'The word parameter should be a string of length greater than 0.' )

       _A=						len(board[0] )
       for i in range(lowerCAmelCase_ ):
              for j in range(lowerCAmelCase_ ):
                     if exits_word(
                         lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_							,       0							,       {get_point_key(lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_ )} ):
                            return True

       return False


if __name__ == "__main__":
      import doctest

      doctest.testmod()
import heapq

def 				UpperCamelCase					(     lowerCAmelCase_							,       lowerCAmelCase_							,       lowerCAmelCase_ )		->    Dict:




       '''simple docstring'''






       _A=						[(0, start)]  # cost from start node,end node
       _A=						set()
       while heap:
              ((_A),      (_A))=						heapq.heappop(lowerCAmelCase_ )
              if u in visited:
                     continue
              visited.add(lowerCAmelCase_ )
              if u == end:
                     return cost
              for v, c in graph[u]:
                     if v in visited:
                            continue
                     _A=						cost + c
                     heapq.heappush(lowerCAmelCase_							,       (next_item, v) )
       return -1


UpperCAmelCase_    		=				{
    '''A''': [['''B''', 2], ['''C''', 5]],
    '''B''': [['''A''', 2], ['''D''', 3], ['''E''', 1], ['''F''', 1]],
    '''C''': [['''A''', 5], ['''F''', 3]],
    '''D''': [['''B''', 3]],
    '''E''': [['''B''', 4], ['''F''', 3]],
    '''F''': [['''C''', 3], ['''E''', 3]],
}
UpperCAmelCase_    		=				{
    '''B''': [['''C''', 1]],
    '''C''': [['''D''', 1]],
    '''D''': [['''F''', 1]],
    '''E''': [['''B''', 1], ['''F''', 3]],
    '''F''': [],
}
UpperCAmelCase_    		=				{
    '''B''': [['''C''', 1]],
    '''C''': [['''D''', 1]],
    '''D''': [['''F''', 1]],
    '''E''': [['''B''', 1], ['''G''', 2]],
    '''F''': [],
    '''G''': [['''F''', 1]],
}

UpperCAmelCase_    		=				dijkstra(G, '''E''', '''C''')
print(short_distance)  # E -- 3 --> F -- 3 --> C == 6

UpperCAmelCase_    		=				dijkstra(Ga, '''E''', '''F''')
print(short_distance)  # E -- 3 --> F == 3

UpperCAmelCase_    		=				dijkstra(Ga, '''E''', '''F''')
print(short_distance)  # E -- 2 --> G -- 1 --> F == 3

if __name__ == "__main__":
      import doctest

      doctest.testmod()