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







      '''simple docstring'''


      UpperCAmelCase__		,      UpperCAmelCase__								=  len(__A							), len(grid[0]							)
      if (
          min(__A,  __A							) < 0
          or row == row_length
          or col == col_length
          or (row, col) in visit
          or grid[row][col] == 1
      ):
            return 0
      if row == row_length - 1 and col == col_length - 1:
            return 1

      visit.add((row, col)							)

      UpperCAmelCase__								=  0
      count += depth_first_search(__A,  row + 1,  __A,  __A							)
      count += depth_first_search(__A,  row - 1,  __A,  __A							)
      count += depth_first_search(__A,  __A,  col + 1,  __A							)
      count += depth_first_search(__A,  __A,  col - 1,  __A							)

      visit.remove((row, col)							)
      return count


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()



