






"""simple docstring"""


from __future__ import annotations




def     snake_case						(A_   :list[list[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()












"""simple docstring"""


import math

from numpy import inf
from scipy.integrate import quad




def     snake_case						(A_   :float   ):







  '''simple docstring'''

  if num <= 0:
    raise ValueError('math domain error'   )

  return quad(A_			,    0			,    A_			,    args=(A_)   )[0]




def     snake_case						(A_   :float			,    A_   :float   ):







  '''simple docstring'''

  return math.pow(A_			,    z - 1   ) * math.exp(-x   )


if __name__ == "__main__":
   from doctest import testmod

   testmod()




