


def     __lowerCamelCase						(			UpperCAmelCase_						:		list[list[int | float]]						):




      """simple docstring"""





      a						:Optional[Any]										=	len(UpperCAmelCase_						)
      a						:Optional[int]										=	len(matrix[0]						)
      a						:int										=	min(UpperCAmelCase_			,  UpperCAmelCase_						)

      for row in range(UpperCAmelCase_						):
            # Check if diagonal element is not zero
            if matrix[row][row] != 0:
                  # Eliminate all the elements below the diagonal
                  for col in range(row + 1			,  UpperCAmelCase_						):
                        a						:str										=	matrix[col][row] / matrix[row][row]
                        for i in range(UpperCAmelCase_			,  UpperCAmelCase_						):
                              matrix[col][i] -= multiplier * matrix[row][i]
            else:
                  # Find a non-zero diagonal element to swap rows
                  a						:int										=	True
                  for i in range(row + 1			,  UpperCAmelCase_						):
                        if matrix[i][row] != 0:
                              a							,    a						:List[Any]										=	matrix[i], matrix[row]
                              a						:Tuple										=	False
                              break
                  if reduce:
                        rank -= 1
                        for i in range(UpperCAmelCase_						):
                              a						:Optional[Any]										=	matrix[i][rank]

            # Reduce the row pointer by one to stay on the same row
                  row -= 1

      return rank


if __name__ == "__main__":
     import doctest

     doctest.testmod()









def     __lowerCamelCase						(			UpperCAmelCase_						:		int = 100						):




      """simple docstring"""





      a						:List[Any]										=	0
      a						:List[Any]										=	0
      for i in range(1			,  n + 1						):
            sum_of_squares += i**2
            sum_of_ints += i
      return sum_of_ints**2 - sum_of_squares


if __name__ == "__main__":
     print(F"""{solution() = }""")





