Монгол Бодлогын Сан

$\left\{ % \begin{array}{l} \sin (3x+y)+\cos (x+3y)=2\\ \sin^2(2x-2y)=1\\ \end{array} % \right.$ систем $\left\{ \begin{array}{l} x=\dfrac{\fbox{a}\pi}{\fbox{bc}}+\dfrac{\pi}{\fbox{d}}\left(\fbox{e}k+\fbox{fg}n\right) \\ y=\dfrac{\fbox{hi}\pi}{\fbox{bc}}+\dfrac{\pi}{\fbox{d}}\left(\fbox{jk}k+\fbox{l}n\right) (n, k\in \mathbb Z) \\ \end{array} \right.$ шийдтэй байна.