const p1 = {L:[1, 3, 1, 0, 1, -3, 0, 0, 1],
	    U:[1, 0, 0, 1, -2, 0, 2, 1, 2],
	    x:[2, 1, -2]};
const p2 = {L:[1, -3, 1, 0, 1, 4, 0, 0, 1],
	    U:[1, 0, 0, 1, 3, 0, 2, 3, 6],
	    x:[3, 0, -2]};

const p3 = {L:[1, 3, -4, 0, 1, -2, 0, 0, 1],
	    U:[1, 0, 0, 1, -2, 0, -4, 3, 1],
	    x:[4, 2, -2]};

const p4 = {L:[1, 5, -2, 0, 1, 3, 0, 0, 1],
	    U:[1, 0, 0, -2, -5, 0, 2, -2, -1],
	    x:[-1, -2, -3]};

const p5 = {L:[1, 2, 4, 0, 1, -5, 0, 0, 1],
	    U:[1, 0, 0, -4, 4, 0, 3, 3, 1],
	    x:[2, 4, -2]};
var problem_type = 0;