
def      UpperCamelCase   (       __lowerCamelCase	:					list[list[int | float]]       ):
       snake_case			:  Any     							= len(__lowerCamelCase       )
       snake_case			:  str     							= len(matrix[0]       )
       snake_case			:  Optional[int]     							= min(__lowerCamelCase							,   __lowerCamelCase       )

       for row in range(__lowerCamelCase       ):
              # 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							,   __lowerCamelCase       ):
                            snake_case			:  Union[str, Any]     							= matrix[col][row] / matrix[row][row]
                            for i in range(__lowerCamelCase							,   __lowerCamelCase       ):
                                   matrix[col][i] -= multiplier * matrix[row][i]
              else:
                     # Find a non-zero diagonal element to swap rows
                     snake_case			:  Union[str, Any]     							= True
                     for i in range(row + 1							,   __lowerCamelCase       ):
                            if matrix[i][row] != 0:
                                   snake_case							,   snake_case			:  Optional[int]     							= matrix[i], matrix[row]
                                   snake_case			:  Union[str, Any]     							= False
                                   break
                     if reduce:
                            rank -= 1
                            for i in range(__lowerCamelCase       ):
                                   snake_case			:  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()







__lowerCamelCase				=			{
    0: """0""",
    1: """1""",
    2: """2""",
    3: """3""",
    4: """4""",
    5: """5""",
    6: """6""",
    7: """7""",
    8: """8""",
    9: """9""",
    10: """a""",
    11: """b""",
    12: """c""",
    13: """d""",
    14: """e""",
    15: """f""",
}


def      UpperCamelCase   (       __lowerCamelCase	:					float       ):
       assert type(__lowerCamelCase       ) in (int, float) and decimal == int(__lowerCamelCase       )
       snake_case			:  str     							= int(__lowerCamelCase       )
       snake_case			:  str     							= ""
       snake_case			:  str     							= False
       if decimal < 0:
              snake_case			:  Optional[Any]     							= True
              decimal *= -1
       while decimal > 0:
              snake_case							,   snake_case			:  Union[str, Any]     							= divmod(__lowerCamelCase							,   16       )
              snake_case			:  Tuple     							= values[remainder] + hexadecimal
       snake_case			:  Tuple     							= "0x" + hexadecimal
       if negative:
              snake_case			:  Any     							= "-" + hexadecimal
       return hexadecimal


if __name__ == "__main__":
   import doctest

   doctest.testmod()





