Two sequences are coupled by the system: xn=3xn−1−2yn−1x_n = 3x_{n-1} - 2y_{n-1}xn=3xn−1−2yn−1 and yn=2xn−1−2yn−1y_n = 2x_{n-1} - 2y_{n-1}yn=2xn−1−2yn−1 with x0=1,y0=1x_0 = 1, y_0 = 1x0=1,y0=1. Compute x2+y2x_2 + y_2x2+y2.
444
555
666
999