#!/usr/bin/env python2

class Point:
    x = 0
    y = 0
    z = 0
    color = "red"

    def __init__(self, x, y, z):
        self.x = x
        self.y = y
        self.z = z

    def SetX(self, x):
        self.x = x

    def SetY(self, y):
        self.y = y

    def SetZ(self, z):
        self.z = z

    def __str__(self):
        return "%i %i %i" % (self.x, self.y, self.z)

    def mult(self, matr):
        if not len(matr) == 4 or not len(matr[0]) == 4:
            raise Exception("Allow multiplication only with 4x4 matrix")

        x = self.x * matr[0][0] + self.y * matr[1][0] + self.z * matr[2][0] + matr[3][0]
        y = self.x * matr[0][1] + self.y * matr[1][1] + self.z * matr[2][1] + matr[3][1]
        z = self.x * matr[0][2] + self.y * matr[1][2] + self.z * matr[2][2] + matr[3][2]
        return Point(x, y, z)