

"""simple docstring"""





class 					_lowerCAmelCase  :







 """simple docstring"""







 def __init__(			self							:			int	):
    __lowercase								=						""
    __lowercase								=						""
    __lowercase								=						[]


 def 					_lowercase (			self							:			int,					UpperCAmelCase__							:			int,					UpperCAmelCase__							:			int	):
    if m == -1:
       return n + 1
    elif n == -1:
       return m + 1
    elif self.dp[m][n] > -1:
       return self.dp[m][n]
    else:
       if self.worda[m] == self.worda[n]:
          __lowercase								=						self.__min_dist_top_down_dp(m - 1,					n - 1	)
       else:
          __lowercase								=						self.__min_dist_top_down_dp(UpperCAmelCase__,					n - 1	)
          __lowercase								=						self.__min_dist_top_down_dp(m - 1,					UpperCAmelCase__	)
          __lowercase								=						self.__min_dist_top_down_dp(m - 1,					n - 1	)
          __lowercase								=						1 + min(UpperCAmelCase__,					UpperCAmelCase__,					UpperCAmelCase__	)

       return self.dp[m][n]


 def 					_lowercase (			self							:			Union[str, Any],					UpperCAmelCase__							:			str,					UpperCAmelCase__							:			str	):
    __lowercase								=						worda
    __lowercase								=						worda
    __lowercase								=						[[-1 for _ in range(len(UpperCAmelCase__	)	)] for _ in range(len(UpperCAmelCase__	)	)]

    return self.__min_dist_top_down_dp(len(UpperCAmelCase__	) - 1,					len(UpperCAmelCase__	) - 1	)



 def 					_lowercase (			self							:			int,					UpperCAmelCase__							:			str,					UpperCAmelCase__							:			str	):
    __lowercase								=						worda
    __lowercase								=						worda
    __lowercase								=						len(UpperCAmelCase__	)
    __lowercase								=						len(UpperCAmelCase__	)
    __lowercase								=						[[0 for _ in range(n + 1	)] for _ in range(m + 1	)]

    for i in range(m + 1	):
       for j in range(n + 1	):
          if i == 0:  # first string is empty
             __lowercase								=						j
          elif j == 0:  # second string is empty
             __lowercase								=						i
          elif worda[i - 1] == worda[j - 1]:  # last characters are equal
             __lowercase								=						self.dp[i - 1][j - 1]
          else:
             __lowercase								=						self.dp[i][j - 1]
             __lowercase								=						self.dp[i - 1][j]
             __lowercase								=						self.dp[i - 1][j - 1]
             __lowercase								=						1 + min(UpperCAmelCase__,					UpperCAmelCase__,					UpperCAmelCase__	)
    return self.dp[m][n]


if __name__ == "__main__":
   _a       =							EditDistance()

   print('****************** Testing Edit Distance DP Algorithm ******************')
   print()

   _a       =							input('Enter the first string: ').strip()
   _a       =							input('Enter the second string: ').strip()

   print()
   print(F"The minimum edit distance is: {solver.min_dist_top_down(Sa, Sa)}")
   print(F"The minimum edit distance is: {solver.min_dist_bottom_up(Sa, Sa)}")
   print()
   print('*************** End of Testing Edit Distance DP Algorithm ***************')





"""simple docstring"""






def SCREAMING_SNAKE_CASE__			(   __UpperCAmelCase )  ->  int:

   if not grid or not grid[0]:
      raise TypeError('''The grid does not contain the appropriate information''' )

   for cell_n in range(1       ,    len(grid[0] ) ):
      grid[0][cell_n] += grid[0][cell_n - 1]
   lowercase__:   Tuple					=      grid[0]

   for row_n in range(1       ,    len(__UpperCAmelCase ) ):
      lowercase__:   Tuple					=      grid[row_n]
      lowercase__:   Dict					=      fill_row(__UpperCAmelCase       ,    __UpperCAmelCase )
      lowercase__:   Union[str, Any]					=      grid[row_n]

   return grid[-1][-1]



def SCREAMING_SNAKE_CASE__			(   __UpperCAmelCase       ,    __UpperCAmelCase )  ->  list:
   current_row[0] += row_above[0]
   for cell_n in range(1       ,    len(__UpperCAmelCase ) ):
      current_row[cell_n] += min(current_row[cell_n - 1]       ,    row_above[cell_n] )

   return current_row


if __name__ == "__main__":
       import doctest

       doctest.testmod()
