from __future__ import annotations




def    lowerCAmelCase_ (     __A							)     ->				int:







      '''simple docstring'''


      for i in range(1,  len(matrix[0]							)							):
            matrix[0][i] += matrix[0][i - 1]

      # preprocessing the first column
      for i in range(1,  len(__A							)							):
            matrix[i][0] += matrix[i - 1][0]

      # updating the path cost for current position
      for i in range(1,  len(__A							)							):
            for j in range(1,  len(matrix[0]							)							):
                  matrix[i][j] += min(matrix[i - 1][j],  matrix[i][j - 1]							)

      return matrix[-1][-1]


if __name__ == "__main__":
      import doctest

      doctest.testmod()




import math
import sys






def  snake_case  (       snake_case__			:int)						->   int:
       if number != int(snake_case__):
              raise ValueError("""the value of input must be a natural number""")
       if number < 0:
              raise ValueError("""the value of input must not be a negative number""")
       if number == 0:
              return 1
       _A        =  [-1] * (number + 1)
       _A        =  0
       for i in range(1   ,	number + 1):
              _A        =  sys.maxsize
              _A        =  int(math.sqrt(snake_case__))
              for j in range(1   ,	root + 1):
                     _A        =  1 + answers[i - (j**2)]
                     _A        =  min(snake_case__   ,	snake_case__)
              _A        =  answer
       return answers[number]


if __name__ == "__main__":
    import doctest

    doctest.testmod()




