


from __future__ import annotations






def   _lowercase(					__a				:						list[list[int]]     ):

							# preprocessing the first row
							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"""



def  _A(		lowerCAmelCase			,  lowerCAmelCase							):
							A__       :     List[Any]								=			[1]
							for i in range(2			,  lowerCAmelCase							):
														factorials.append(factorials[-1] * i							)
							assert 0 <= k < factorials[-1] * n, "k out of bounds"

							A__       :     Union[str, Any]								=			[]
							A__       :     int								=			list(range(lowerCAmelCase							)							)

							# Find permutation
							while factorials:
														A__       :     Optional[int]								=			factorials.pop()
														A__				,							A__       :     Union[str, Any]								=			divmod(lowerCAmelCase			,  lowerCAmelCase							)
														permutation.append(elements[number]							)
														elements.remove(elements[number]							)
							permutation.append(elements[0]							)

							return permutation


if __name__ == "__main__":
				import doctest

				doctest.testmod()





