//Standard generators of L2(27) are a and b where a has order 2, b has order 3
//and ab has order 7.
//Standard generators of the double cover 2.L2(27) = SL2(27) are preimages A and
//B where B has order 3 and AB has order 7.  
_LR := rec < recformat< F: GrpFP, AI: SeqEnum, G: GrpMat > |
      F := FreeGroup(2) >;
_LR`AI := [ [a^-1, b^-1], //PSL(2,27).2 = PGL(2,27)
        [a, a^-1*b^-1*a*b*a*b^-1*a*b*a*b*a*b^-1*a*b*a*b^-1*a*b*a*b^-1*a*b]]
                 //PSL(2,27).3 = PSigmaL(2,27)
             where a is (_LR`F).1 where b is (_LR`F).2;
//6 constituents, fixed by AI[1], interchanged in 2 3-cycles by AI[2]
_LR`G := sub<GL(168,Integers()) |
\[ 0,0,0,0,-1,0,3,1,-1,0,1,-3,-1,2,-2,3,1,0,-1,0,0,1,
0,0,0,0,1,-1,0,1,-1,1,0,-1,2,-1,0,0,0,-1,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-2,
3,-1,1,1,1,-1,0,2,0,0,1,2,-1,1,2,0,-1,-1,-2,-2,2,0,0,
1,-1,-1,-1,1,-1,0,0,1,-1,0,-1,0,1,0,1,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,-1,2,-1,2,
1,0,0,-1,2,0,-1,1,1,-1,2,0,1,-1,0,0,-1,1,0,-1,1,-1,0,
0,1,0,1,0,1,0,0,-1,0,-2,-1,0,0,-1,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,-2,-1,3,1,2,
1,0,1,1,2,3,0,1,-1,2,0,-1,1,1,-1,0,0,2,-1,0,0,0,0,0,
0,0,0,1,0,1,0,0,0,-1,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,-1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,1,0,2,2,0,2,1,-1,1,1,-1,-1,5,-1,
-1,2,-2,-1,2,0,0,1,-1,1,1,0,0,-1,3,1,-2,4,-3,0,1,-1,0,
1,0,0,1,0,0,-2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,-2,1,-2,-2,-1,0,-1,0,0,-2,-1,-3,1,1,0,-1,
1,-1,-3,0,-1,0,0,-1,-1,0,-1,0,1,-1,0,-1,-1,0,1,0,-1,0,
0,0,-1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,2,2,0,-3,-1,1,-1,-2,-1,-2,-1,-3,2,-1,-1,2,1,
-3,-2,0,-2,0,-1,-1,0,-1,-1,1,1,0,-1,-2,0,0,0,-1,-1,-1,
2,0,0,-1,-1,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,2,-1,0,1,-2,1,0,4,2,0,2,-1,-2,2,2,-1,2,2,
1,-2,-1,-1,-1,1,0,0,1,-2,-1,0,2,-2,1,0,0,0,-1,-1,-1,1,
0,1,1,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,1,0,-4,1,-1,-1,0,1,-3,-3,-2,0,0,1,-1,
-1,0,-1,-1,0,0,0,-2,1,-2,0,0,-2,1,0,0,0,-1,0,0,1,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,-1,0,-1,-2,0,-1,-3,0,-2,-1,-2,-1,-2,0,-2,0,-2,0,-1,0,
0,-1,0,0,-1,0,-2,2,-2,0,0,-3,1,0,0,-1,0,-1,0,1,0,0,0,
1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
1,1,0,1,3,1,2,-3,0,2,2,3,0,-1,-1,0,0,-2,1,2,1,1,2,1,
1,-1,1,1,0,0,-1,3,-1,0,0,1,1,0,0,-1,0,-1,-1,-2,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,1,
-1,0,-2,0,2,1,1,0,3,-2,0,0,-1,1,0,3,0,0,2,1,-1,-1,0,
1,1,-1,0,-1,1,0,0,0,0,1,1,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-2,1,-1,1,0,2,
1,-1,0,-1,2,-1,2,0,0,2,0,0,-2,-1,-1,-1,0,0,1,0,0,-1,1,
0,1,0,1,0,0,1,0,-1,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,-1,2,-1,0,-1,
0,1,-1,1,0,-1,2,-1,0,1,-1,-1,-2,-1,2,1,0,0,0,-1,1,1,
-1,1,0,0,-1,0,-2,0,1,1,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,-1,3,-2,2,1,0,4,0,
-2,-2,-1,2,1,2,2,-2,-1,-1,-2,0,3,-1,0,-2,-2,1,1,-2,2,0,
1,-1,-1,-2,0,1,1,1,-2,-2,0,0,-2,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,1,0,0,1,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,
0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,0,1,-1,0,2,1,3,2,4,
-4,-1,1,-1,-1,3,2,0,1,1,0,-2,1,0,1,-2,-2,0,0,0,0,0,1,
0,1,1,-1,1,0,2,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,-2,-2,2,-1,-1,0,1,3,3,1,1,2,-1,-1,
1,2,2,2,2,0,-1,1,0,-3,2,2,1,-3,-1,1,0,-1,1,0,0,1,0,1,
-1,0,1,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,
-1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,-4,0,0,0,-1,-1,1,-1,1,0,-2,0,4,0,0,2,0,
-2,1,0,0,2,1,-3,1,2,0,0,2,1,0,2,0,0,0,1,1,1,0,-1,1,
-1,-1,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,-2,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,-3,0,0,-2,0,1,0,1,0,0,2,0,-3,-1,0,1,2,0,0,0,
-2,0,0,-2,1,0,1,-1,-2,1,1,-3,2,0,0,1,-1,-2,0,1,-1,1,
-1,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,1,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,1,0,0,0,-1,-2,0,0,2,0,1,-1,-1,-1,0,-1,0,2,-1,1,1,
1,-1,1,-1,0,1,0,1,-1,2,0,0,1,-1,1,0,-1,0,0,0,-1,-2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,
-1,1,0,2,0,-2,4,1,3,2,4,-8,-4,-1,-1,1,2,4,0,0,0,0,1,
2,-1,0,2,-5,1,-1,-2,0,0,0,0,0,-1,-1,3,1,1,-1,-2,0,0,
-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,
-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,-1,0,0,0,-1,-2,-1,2,-1,-1,0,-1,0,0,0,1,2,0,-1,
-1,1,-1,0,1,0,-1,3,-2,0,1,0,0,2,-1,-1,0,0,1,1,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,-1,0,0,0,0,
-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-1,
2,-2,3,-1,-3,1,-1,1,1,2,-5,-4,-2,0,-3,3,-2,1,2,-1,0,-1,
0,0,-1,0,-3,0,0,-2,-1,0,-1,1,-1,0,-1,2,0,1,0,1,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,-2,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,1,-4,
-1,0,-4,4,-2,0,0,-3,0,3,2,3,-1,3,-3,-2,1,-1,3,3,-2,-1,
1,1,2,2,-1,-1,3,-1,0,-1,2,2,2,1,-2,0,-2,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,1,0,0,0,0,0,1,0,
0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,2,
-1,-2,-2,-2,0,-2,-1,1,-1,-2,-2,-5,1,-2,1,4,-1,1,2,-1,0,
-2,1,1,0,0,3,-2,0,-1,0,-1,1,-1,0,-2,0,1,1,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-2,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,4,1,-1,1,
1,1,1,-1,-1,-2,3,0,0,0,-1,0,1,0,1,0,-1,1,0,0,0,0,3,0,
0,1,-1,0,-1,0,-1,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-2,0,2,2,0,4,2,-1,0,0,
2,-1,4,0,0,4,-1,0,0,0,-2,-1,-2,2,2,0,0,-2,1,0,0,-1,-1,
0,0,-1,0,-1,1,1,3,0,-1,-2,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,-1,0,1,0,2,1,0,-3,0,2,1,2,0,
-3,-2,2,-1,-2,1,2,1,0,1,-1,3,0,0,1,-1,1,0,0,0,0,0,1,
0,-1,0,1,1,-1,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-2,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,
0,0,0,0,0,-1,0,0,0,0,-3,-4,1,-3,-2,0,-1,-1,0,1,-4,1,
-1,-1,-1,0,-3,1,0,-1,3,-2,-3,0,0,1,-3,-1,1,-3,2,0,0,2,
0,-1,-1,0,-2,0,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,-1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,1,0,0,1,0,1,1,-2,2,1,0,1,-1,2,-2,3,1,0,
1,3,-1,2,0,-2,0,-2,1,1,0,1,-1,0,0,0,0,0,0,1,-2,-1,-1,
1,1,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
1,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,1,-1,0,2,0,2,1,-2,-1,1,0,-2,2,2,1,1,-1,0,
-1,0,-1,-3,-1,4,1,-1,0,0,1,0,0,-1,1,0,-1,-2,0,-1,1,1,
1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,3,-1,1,0,-1,0,-1,4,1,0,2,1,-4,-1,0,-1,2,2,2,-1,
-1,-1,0,1,0,-1,1,0,-2,0,0,-1,1,0,0,0,-1,-1,-1,1,-1,1,
1,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-2,-1,0,-2,1,0,-1,1,0,0,-2,2,3,-2,0,0,-2,0,1,-2,0,
-1,1,0,0,1,-1,-1,-1,-1,-1,0,0,2,-3,1,-1,1,1,1,0,1,1,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,-1,0,1,
-1,1,0,1,1,-3,-2,0,1,-1,3,1,0,1,-1,0,-2,1,0,-1,-1,0,0,
0,1,-1,1,-1,0,0,-1,0,1,-1,0,-1,1,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,
1,-2,0,1,-1,1,3,-1,1,2,-1,0,0,0,1,0,-1,0,1,0,0,0,3,0,
-1,1,-1,0,-1,0,0,1,1,0,2,-1,-1,-2,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-2,-1,2,1,-3,0,-2,2,1,
2,2,0,0,-1,1,1,0,2,4,-2,0,-2,-3,0,2,-1,1,-2,-1,1,0,-1,
0,0,1,-3,-1,-1,-1,3,1,1,0,-2,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
-1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,1,0,0,0,1,2,-1,-1,0,-1,0,0,-4,
-2,-3,3,1,-3,-1,-1,-1,0,0,1,2,1,-1,-2,0,-1,1,2,0,0,2,
0,0,1,0,-1,0,1,-2,-2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-2,0,-1,-3,-2,-2,-2,-2,-1,-3,
-4,-4,4,1,0,2,0,-2,-3,-1,-1,0,-1,-1,-2,0,-2,0,2,-1,-1,
-1,0,0,0,-1,-1,1,1,-1,1,-2,1,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,2,1,0,0,-2,3,2,3,3,2,
-4,-2,0,-1,-2,3,3,-1,1,-2,0,1,2,-2,1,-1,-2,1,0,0,0,0,
1,0,-1,-1,-2,3,-1,2,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,1,0,0,1,-1,-1,-1,2,-3,2,-1,0,0,-4,1,
0,0,0,-2,0,-2,-1,2,1,2,3,0,-2,1,-1,3,1,-1,-1,2,-1,0,
-1,1,1,3,0,-1,0,-1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,-1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,-1,2,2,3,-2,1,2,0,1,1,4,-4,0,
0,-3,0,2,3,0,2,2,2,3,-2,-1,0,2,-2,-1,0,3,0,0,-1,0,1,
2,-1,0,1,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,
1,1,0,0,-1,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,
0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,1,-3,-1,-1,-3,5,0,0,1,-2,0,3,2,5,1,
5,-1,0,0,-3,3,1,-2,0,1,1,0,2,-1,-2,2,-1,0,-1,0,2,2,0,
-1,2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,
0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,1,0,-2,1,0,-1,-1,-1,0,1,-1,1,0,0,-1,-1,-1,-2,
1,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,-1,0,
-2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,2,4,0,3,3,2,3,0,1,2,1,2,0,-3,0,1,4,1,1,1,0,3,0,
0,1,-1,0,0,0,3,-1,0,2,-1,0,1,0,-1,-1,2,0,1,0,0,1,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-2,-1,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,-1,1,0,-2,
1,0,-1,0,2,0,-2,2,1,-3,-3,1,1,-5,3,1,-1,4,2,-3,1,1,-1,
3,-1,1,-2,1,-1,0,2,1,1,1,1,1,1,-1,-2,-4,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,-2,0,-1,0,-1,
1,3,1,0,0,0,-2,0,1,0,1,2,0,0,-2,0,-1,1,-1,0,0,0,-2,
-1,-1,-2,-1,0,0,-1,0,1,0,2,2,1,1,2,0,0,-2,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,2,2,-2,-2,1,-1,
0,0,0,0,4,2,0,0,-1,1,4,1,2,1,0,1,0,0,2,-1,1,0,-1,4,
0,0,1,-2,0,0,0,-1,-1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,-2,0,3,-2,3,-3,0,0,1,-2,-3,
2,0,-1,-2,-1,-1,-2,1,2,2,3,2,1,-3,0,-1,5,-1,-1,-2,1,-1,
0,-2,1,1,2,3,-1,2,-2,-1,-2,0,0,-2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,-1,0,0,1,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-2,0,0,0,-1,0,0,
0,0,1,0,0,0,0,0,0,0,0,-1,0,0,-1,1,-2,-1,0,-4,-2,4,-1,
2,1,3,-7,0,3,-4,1,5,0,-1,2,0,0,-2,-1,0,0,0,-4,-1,1,-2,
0,0,-1,0,1,1,-2,1,-1,1,1,1,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-2,0,0,0,0,
1,0,0,0,0,0,0,0,0,3,0,0,0,2,-2,1,0,0,5,-2,-2,-1,-1,
-2,3,3,5,2,3,0,-3,-1,-2,1,0,1,0,0,0,0,3,-1,1,0,1,0,
-3,0,1,0,2,-2,2,-1,-1,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-2,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,2,-1,4,2,0,2,4,4,1,1,1,0,1,-1,
5,2,1,3,0,-2,-3,-2,-3,2,1,-1,1,-2,2,0,0,-2,-1,0,-3,1,
-1,-1,1,3,2,1,0,-2,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,2,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,
0,0,0,0,0,0,-1,0,0,0,0,-3,-3,-4,-3,-2,3,1,-1,-3,-1,0,
2,2,-2,5,-2,2,-2,-2,3,-1,-4,-1,1,-1,-1,0,0,-1,0,1,0,1,
-2,1,2,0,-1,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,-1,-2,3,-6,-2,1,-1,4,-2,6,-6,-1,
1,-5,-2,0,1,1,3,0,4,0,-2,-1,0,4,-3,0,-1,1,-1,0,-2,1,2,
2,-1,2,-2,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-2,
0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,
0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,1,0,0,0,0,
0,0,0,0,2,0,0,3,-2,0,2,2,1,5,-3,-1,0,-1,-2,4,3,1,0,
-3,1,-4,3,1,-1,1,1,0,2,1,-1,3,-1,0,0,-1,0,0,1,0,0,0,
0,0,1,0,3,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,-1,0,
0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,
0,-1,0,0,0,0,-1,3,1,4,2,-2,-1,-1,1,-2,1,1,-1,1,1,0,-1,
2,-1,0,-1,2,0,1,1,-1,0,0,1,0,-1,0,1,0,-1,-1,1,-1,0,0,
1,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,1,0,-4,-2,3,-4,0,-3,-2,0,-3,3,-3,-1,-2,-2,1,-3,-2,2,
1,2,2,-1,-2,0,-1,4,-1,-2,-2,1,0,0,0,1,2,3,0,-2,0,-2,1,
1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,1,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
1,-1,0,3,0,4,-2,2,1,0,4,0,-3,-1,-1,0,1,2,1,-2,-1,-3,
-3,3,1,-1,1,-1,-1,0,1,-2,2,0,1,0,-2,-2,0,1,-1,1,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
-2,1,0,2,-1,0,2,2,5,2,-2,-2,-2,2,2,-2,3,-2,-3,1,-2,-2,
2,-1,2,-2,-2,1,0,0,1,0,3,1,0,-2,0,1,1,0,-1,-4,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,1,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,2,
3,-3,0,1,2,1,-1,-2,-1,4,1,-1,0,2,0,5,0,-1,2,-1,0,2,3,
0,1,0,1,0,2,0,0,1,-2,1,1,1,0,2,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-3,-2,1,2,1,-1,
-3,4,1,4,5,6,-8,-2,-1,-4,0,5,3,0,4,-2,1,-1,1,0,2,-2,
-3,0,2,1,2,0,0,1,0,0,-3,1,-3,2,1,0,0,0,2,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,1,0,0,-2,0,0,0,0,-1,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-3,1,-1,-1,0,1,2,-4,
-1,-2,0,-3,5,-1,-2,3,-1,-2,-4,1,0,1,2,-2,0,1,0,-2,2,1,
-1,3,-2,0,1,1,0,0,-1,-3,-1,-1,0,1,0,0,2,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,
0,0,1,0,0,0,0,0,0,-2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,2,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,-2,2,1,2,0,0,2,1,3,
1,3,-3,-1,-1,-1,-6,2,1,1,2,0,1,0,0,0,0,-1,-1,-1,0,0,
-2,0,1,0,1,1,-1,2,0,2,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,
0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-3,-1,-3,1,-2,0,0,-1,1,-2,1,
-3,2,2,-1,-1,3,-1,-1,0,-1,-2,-1,1,-1,0,0,1,1,-2,0,0,2,
0,2,-1,-1,-1,0,0,0,-1,2,3,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,
0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,1,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,
-1,0,0,0,0,0,0,0,0,1,0,0,2,2,-1,2,0,1,4,-4,-1,0,0,-1,
7,3,2,2,0,-2,-1,1,-1,1,0,1,1,0,0,0,3,-1,-1,2,-1,0,0,
-1,2,0,2,-1,2,-1,-1,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,1,0,2,-3,0,-1,-7,1,-1,-3,-1,0,-3,-5,
-4,-1,-5,1,-3,-2,3,-4,1,-1,-2,-1,-3,1,-1,1,2,-3,2,0,-1,
2,-3,-1,-1,1,-4,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,-1,0,-1,-1,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,
0,0,1,0,0,-1,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-2,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,-1,0,2,0,0,2,2,0,1,1,1,0,1,0,2,
3,2,-2,2,-1,-3,-1,-2,2,1,-2,1,0,1,1,-1,-2,0,0,-2,0,0,
-2,2,2,3,-1,-1,-4,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,1,-1,0,1,2,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-2,0,0,4,-1,-1,0,0,-1,-1,0,2,4,1,1,-2,2,0,
-1,0,-1,2,0,0,0,0,0,0,-1,3,0,-1,1,-1,0,0,0,1,-1,1,-1,
1,2,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,2,1,1,-2,-2,-1,-1,4,2,-4,-2,-1,-1,-2,-2,-1,
1,0,3,-2,-1,2,1,-1,-3,-1,0,2,-1,1,-1,1,1,0,2,0,-1,0,0,
-2,-3,1,1,2,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,-2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
-1,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,-2,1,-2,2,0,0,2,1,2,3,3,5,-3,0,2,0,4,1,
3,0,0,1,1,-2,3,0,2,0,-2,0,0,0,2,0,1,1,2,0,0,-1,1,0,
-3,-2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-2,0,1,0,-3,3,3,2,1,-3,3,-1,1,0,-4,0,0,4,2,1,3,3,
-1,-1,2,1,2,-1,0,-1,3,0,0,1,1,2,2,0,0,-1,1,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,
1,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,1,
-3,-4,2,-6,0,-1,-1,-1,-4,3,-3,1,-2,-5,2,-3,0,3,2,6,4,
-4,-5,2,-1,4,-1,-1,-2,5,0,0,0,1,3,5,-1,-4,-2,-1,1,3,0,
0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-2,1,0,0,-2,0,0,0,
0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,
0,0,-1,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,-2,
0,1,-2,-1,0,-4,1,-2,0,0,-2,-1,-2,-1,3,1,1,1,-2,-1,-1,
-4,-2,1,0,-2,0,0,0,0,-3,1,0,0,-3,-1,-1,0,2,3,0,-1,-2,
0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,
0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,
0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,
-1,2,5,-1,2,0,2,1,7,3,1,-2,1,3,-1,-2,4,5,0,1,-2,-3,4,
5,-2,2,-2,0,1,0,1,-3,0,0,-3,1,-1,-2,4,2,2,0,-4,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,-2,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,1,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,
1,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,1,0,2,-1,1,
-1,1,-1,0,1,2,2,1,4,-2,-2,-1,0,1,-1,2,1,0,2,2,-3,3,1,
0,1,-1,0,1,0,1,0,0,2,1,1,0,1,1,0,-2,-2,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,1,-2,-1,-1,
1,0,0,1,-2,-2,-2,0,-1,2,0,4,-2,-1,-1,-1,0,-2,-1,1,1,-2,
1,1,1,0,-2,1,0,-1,1,-1,0,1,-1,0,-1,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,
0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,2,1,0,2,-3,2,
1,0,0,-2,0,-2,3,2,2,0,1,1,-1,-1,0,0,-2,1,-1,0,1,-4,2,
0,0,2,-1,0,1,-1,0,1,0,-3,-1,0,1,0,0,0,2,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,1,0,0,0,0,0,1,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,-2,1,-1,-2,4,3,1,
0,1,3,-1,-1,5,2,5,0,1,-1,-3,0,0,-1,1,1,2,1,-2,-1,0,-4,
0,0,-1,2,1,-1,1,2,3,-1,-1,-2,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,1,0,0,0,0,0,0,0,-1,0,0,1,0,-4,1,-2,-1,2,0,0,0,0,
-2,4,4,3,0,0,0,-2,-1,-2,-1,-1,0,-1,1,2,-2,2,-2,1,-1,-1,
0,1,0,1,-1,0,1,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,-1,-1,0,1,-1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,1,1,-2,0,1,-1,0,-2,-2,0,-1,-1,
-1,2,2,-3,2,-1,-2,2,1,-1,0,2,-1,0,-1,1,1,-2,-1,-1,-1,0,
-1,-1,-1,0,0,-1,-1,-1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,
0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,4,2,-1,1,-1,-1,-1,-2,-1,-2,0,-2,
4,1,-1,-1,1,-2,0,-1,1,1,2,0,-1,0,0,1,2,1,1,5,1,0,0,1,
-1,0,-1,-2,-3,-1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-2,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,-1,2,1,0,0,-2,-1,0,-2,-1,0,2,-1,-1,
1,-1,-1,0,-2,1,-1,0,-1,1,0,-2,1,1,0,2,-2,3,0,0,1,-1,
-1,2,1,1,-1,-2,-3,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,
0,0,0,-1,0,-1,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,-2,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,
0,0,0,0,0,0,0,0,0,0,-1,0,-1,-1,2,-3,1,1,0,1,1,4,-1,
-2,0,-1,2,0,1,1,-1,2,2,-2,1,1,-1,2,-2,-1,0,1,0,0,0,1,
2,2,0,2,2,0,-1,-1,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,-1,1,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,1,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,
1,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,2,-1,-1,-2,0,-2,2,0,-2,3,0,-3,-2,2,
1,6,1,0,-4,-2,0,-1,-3,2,-1,0,-1,-1,1,2,-3,4,0,0,2,-1,
-2,0,-1,0,-1,-2,-2,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
1,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,-1,2,1,4,1,-1,-2,-1,1,2,2,-2,-3,-3,
0,-3,1,-2,2,3,-1,2,1,1,0,-1,1,-1,0,2,2,1,0,-2,2,-1,1,
-1,0,0,0,-1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
-1,1,0,0,-1,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,-2,1,4,-1,-1,4,-4,-1,0,-1,4,-3,2,-2,-2,
4,-2,0,-1,-2,1,-3,-2,0,1,-2,0,-3,2,1,2,-1,0,0,-1,0,-4,
-3,0,0,-1,-1,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,1,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,
0,0,-1,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,-2,-1,2,2,0,1,-1,2,0,-1,-4,-3,0,0,1,
-1,-1,2,-1,-2,2,0,-2,2,-1,0,-2,0,3,1,1,0,0,0,-2,0,-2,
1,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,-1,-1,1,1,2,-1,-1,0,1,1,-1,2,-3,0,-2,-3,
-1,-1,3,1,2,0,2,4,-1,-2,0,4,-2,0,-1,1,0,0,0,-1,0,0,1,
1,0,-1,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,-1,0,0,3,0,2,0,1,2,0,-4,0,-2,2,-1,5,-3,-1,5,-2,-1,
-4,0,0,-2,-1,1,0,-1,0,-3,2,0,0,1,-2,0,-1,2,-2,0,0,-1,
1,-2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,1,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
-2,0,0,-1,1,0,0,-1,0,1,-3,-1,0,1,-1,3,1,0,0,1,-2,0,1,
0,0,-1,0,0,-2,1,0,2,-2,-1,1,-1,0,1,-1,0,0,0,-1,0,-1,1,
-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,1,-1,4,1,3,5,-2,-1,1,2,1,3,3,1,1,0,0,2,2,-1,1,-1,3,
-1,0,3,-1,0,-1,-1,2,-3,0,2,-2,2,-1,1,-1,2,0,1,-1,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,
4,0,0,5,-3,0,3,-1,0,5,3,2,-1,1,-2,4,1,1,2,0,3,1,-1,2,
2,4,0,-3,6,-2,0,0,-3,2,1,1,-1,1,-1,-1,-3,0,0,2,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,2,0,0,0,0,0,0,0,0,0,-1,0,0,
0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,3,1,-4,1,1,1,
-1,-4,-2,0,-1,-2,1,2,-3,-1,-2,-2,-3,2,1,-1,2,1,0,1,0,2,
-1,0,2,0,1,0,1,0,1,-2,1,-1,-1,-1,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,-2,0,0,-1,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,-1,1,2,3,-2,1,2,0,
4,2,4,-7,-2,2,-5,0,3,0,0,4,-1,2,0,1,-1,1,2,0,-1,2,0,
0,0,-2,2,0,1,-2,1,-1,1,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,
0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,3,-1,-1,-2,-1,2,3,0,0,
0,1,-2,-2,0,-2,0,1,-1,2,2,2,-3,0,1,1,-1,1,1,0,3,-1,0,
1,1,0,2,-1,-1,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,-2,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,1,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-2,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,-5,-1,0,1,-3,-1,2,2,3,0,-2,-1,4,
2,3,0,2,-1,2,-1,-2,2,0,-1,1,1,1,-1,2,0,0,1,-1,0,1,0,
0,1,1,1,1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,-1,-1,-2,1,2,-3,3,-2,0,3,0,5,-1,0,2,
-1,1,-1,2,2,0,1,3,0,0,0,2,1,-2,0,-1,2,0,0,0,1,2,1,0,
0,0,-1,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,2,1,-2,0,1,0,2,-7,-2,1,0,0,3,2,0,0,-1,-2,-2,
3,1,0,2,1,0,-1,1,-1,0,0,-1,2,-1,0,1,-2,1,0,1,-2,-1,-1,
-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,
0,0,0,0,2,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,
0,0,0,0,0,1,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,4,0,-1,0,-1,-2,2,-1,1,0,0,0,2,1,1,2,1,0,0,0,0,1,0,
0,-1,0,1,0,1,-1,-3,3,-1,0,0,-1,2,2,-1,-2,2,-2,1,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,1,
1,0,-2,2,3,0,1,-1,0,-4,6,1,2,3,0,-1,0,-1,-3,0,-3,2,-1,
-2,1,-2,4,-1,-3,1,-4,0,0,-2,-1,0,1,1,2,0,1,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,1,0,1,2,0,0,0,0,-1,1,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-2,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,2,0,2,-2,0,
-1,-1,1,0,-2,-2,-2,2,-2,-2,1,-3,1,-3,0,1,1,1,-3,-2,2,
-1,-1,1,0,1,0,-1,0,-1,1,0,1,-1,-1,0,0,1,2,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,-2,1,0,0,-1,0,0,0,0,-1,0,
0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-6,-1,-1,0,
3,2,-4,-2,-1,-2,1,-1,-2,0,-5,-2,-4,-1,-4,0,2,-1,2,1,-3,
-1,-1,0,-1,0,3,1,1,0,1,3,-2,-1,-1,-1,-3,0,2,3,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,-1,-3,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,2,
-1,-1,1,3,3,2,0,3,-2,0,3,-2,2,0,4,-1,0,1,0,0,1,0,2,0,
-1,0,0,0,0,0,1,1,0,0,1,1,0,0,-1,-3,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,-1,1,4,1,1,-6,
-3,-1,1,1,2,0,-3,1,-4,-1,-4,2,1,1,1,0,-1,-1,-1,0,1,-2,
0,2,-1,0,1,1,1,0,2,-2,0,-1,-1,-1,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,1,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,-1,0,0,0,1,0,1,
0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,1,4,-3,0,0,
-1,2,0,-1,-2,-3,1,-2,0,-1,-1,-1,-1,-1,1,2,-1,-2,-1,-1,0,
1,-2,1,0,2,0,-1,-1,1,1,0,1,-2,-2,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,1,-1,-1,-2,-2,-2,1,
1,2,-4,-3,-1,5,0,-2,1,1,-4,0,0,-3,3,3,-2,-3,2,0,1,0,0,
-1,3,-1,0,1,1,0,2,1,-1,-1,-1,1,2,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,-2,0,0,0,-1,0,0,0,0,2,0,0,0,0,0,1,
0,0,0,0,0,0,0,1,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,1,0,0,0,-2,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-2,2,-1,2,0,4,2,-4,
-1,1,2,-1,2,1,0,1,-1,-1,0,1,0,-1,-1,2,2,-2,0,-1,2,0,
-1,1,-1,0,2,-2,1,-1,0,-1,0,0,-1,-2,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,1,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,3,1,1,0,-1,4,2,-2,-2,
-4,1,-6,5,0,-1,3,0,1,-4,0,-1,-1,-3,1,-1,0,0,-2,2,0,-1,
0,-1,0,1,-2,-1,-1,0,-2,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,
1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,0,0,-1,0,-2,0,0,-1,
0,0,3,0,-3,-1,-1,0,0,2,0,1,1,-2,-2,1,1,1,0,-1,1,0,0,
1,-1,1,0,0,-1,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,3,0,-1,0,1,-6,2,3,0,3,1,4,-3,
3,3,-4,0,5,1,-1,2,2,4,-1,-1,0,1,0,0,-1,0,4,0,0,-2,1,
3,3,-3,-1,-1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,1,0,1,-1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,
-2,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,-3,0,0,0,0,1,0,0,
1,0,0,0,0,0,2,0,0,-2,1,-1,0,0,2,1,-1,1,1,1,-1,3,-1,0,
3,-1,-2,-1,0,-1,0,1,-2,2,1,0,-1,1,1,1,0,-1,0,1,1,0,-1,
-1,1,1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,-1,1,-1,0,-1,-5,1,1,-2,1,1,-4,-2,-3,-2,
0,-1,1,-1,2,-3,1,2,-1,-1,-1,3,-3,0,2,-3,3,0,0,0,-2,-1,
0,1,-1,-1,1,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
2,-1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,1,1,0,1,1,3,-2,0,-1,-1,3,0,-1,-1,-3,2,
-2,0,0,-1,-1,-3,-1,3,0,-2,-1,2,-2,0,1,-3,1,0,0,0,0,-3,
0,2,2,0,0,-1,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,
-1,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,2,-1,2,2,1,1,-2,3,0,2,3,4,-6,-1,0,0,-1,4,2,
-1,1,-3,0,3,2,-1,0,1,-3,1,1,-2,3,0,-2,0,1,-1,-1,1,1,1,
-1,-1,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,2,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,-2,5,0,2,-1,-1,2,2,2,0,4,-2,-2,0,0,-5,1,2,0,2,
-1,1,2,0,-2,0,1,0,0,-1,-1,-1,0,-1,1,0,0,0,3,2,0,-1,-3,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,
-2,0,1,-3,0,-1,-1,0,2,0,-2,1,-1,-3,-1,1,0,-1,1,1,0,1,
0,-2,0,0,-1,0,0,0,-3,0,-1,0,1,-1,0,2,0,-1,0,0,-1,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,
-1,-2,0,-2,-2,1,1,0,0,0,0,0,4,2,0,1,1,0,-1,-1,-1,0,-1,
-2,1,2,-1,0,-1,1,-2,3,0,0,0,1,-1,0,-1,0,0,1,2,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,
2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,2,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-2,-1,
1,1,2,1,0,-5,-2,0,0,0,1,-2,-1,2,-4,1,-2,1,1,-3,-2,3,0,
-1,-1,0,0,0,0,-1,0,0,0,-1,-1,-1,1,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,-3,1,-1,
-2,-3,2,2,6,3,-2,0,4,4,0,-1,2,-2,5,1,0,4,4,-2,0,0,3,
0,3,0,-3,6,-1,0,2,-2,2,4,-1,-1,1,0,0,1,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,1,-1,0,0,0,0,0,0,-2,1,0,0,-1,0,0,0,0,2,0,0,0,
0,0,1,0,0,0,0,0,0,0,-1,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-4,1,1,1,-3,3,
-2,1,0,-3,-1,-5,3,-2,0,2,0,1,-1,-2,-2,-2,-5,0,2,0,-2,
-1,2,0,1,-3,0,0,1,-1,-3,-1,2,2,0,1,-1,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-2,0,0,0,
0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,-2,0,-2,0,0,0,0,0,0,0,0,0,-1,0,
0,1,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,-1,2,-1,2,
-3,-3,1,-2,-2,-2,1,-3,-3,-4,0,-4,3,-1,0,4,1,3,-2,-2,2,
-3,1,-2,1,1,1,1,0,-1,1,0,1,-2,-2,-1,0,0,3,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-2,0,0,0,0,-2,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-5,0,1,0,0,1,
0,-1,-1,0,2,0,0,-1,0,1,0,0,1,0,-1,-2,-1,2,1,-2,0,0,-1,
0,-1,-1,0,0,0,-1,-1,-2,0,2,0,0,0,-1,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,4,-1,0,1,1,-1,0,0,
0,3,0,2,0,-2,0,0,-2,0,0,2,1,-1,1,0,2,2,0,1,-1,0,1,1,
-1,0,-2,1,1,1,-1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,-1,0,0,1,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,-1,2,0,-3,0,-2,0,0,-1,0,0,
0,-1,0,0,-1,0,0,-1,1,2,3,2,-5,1,1,0,0,0,0,1,0,-1,0,0,
1,1,0,-1,-1,-1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,
0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,1,-2,2,2,0,0,-1,-2,-1,-1,0,0,0,
-2,-4,-2,-3,-1,2,2,0,2,1,-1,1,-2,4,0,-2,2,0,-2,0,0,1,
0,0,1,1,-1,-1,1,-2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,1,-1,0,0,-2,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,-2,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,2,0,-2,-1,-1,-1,-1,-1,-1,-1,-1,-1,2,
1,0,2,2,-1,0,0,-3,1,-1,0,0,1,0,0,-1,0,-1,0,1,0,0,-1,
0,0,2,0,1,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,1,0,0,1,2,0,4,-5,-2,1,0,2,5,-1,-1,3,-3,
-1,-1,4,1,2,1,-1,-1,2,1,-3,0,0,-2,5,-3,0,0,0,2,2,-1,
-2,0,0,1,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-2,2,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,-3,1,-2,1,2,2,1,-3,-1,-2,-1,-4,4,0,0,1,-3,-1,
-6,0,0,0,-1,1,-2,0,-1,-2,3,-1,0,1,-3,0,0,2,-1,0,1,-1,
0,-1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,-2,0,0,
1,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,-2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,
-1,0,0,1,1,-1,0,1,-2,3,-1,1,2,-2,3,1,2,1,-2,0,-3,3,2,
1,5,3,0,0,0,0,2,1,0,-2,5,-3,0,0,0,3,3,0,-1,1,-1,-1,
-3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,
0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,1,-2,3,1,2,3,0,0,2,4,4,3,-2,-2,-1,4,-2,1,1,0,-1,-1,
-1,0,3,-1,2,-3,-2,2,0,-2,1,0,0,1,0,-2,0,2,2,1,-2,-2,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-2,
-2,1,1,3,1,1,-1,2,1,-2,2,-1,-2,-1,-1,-2,-1,0,3,1,0,2,
1,1,1,0,1,-2,1,0,-1,0,0,0,2,0,0,2,1,0,0,-2,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-2,0,0,0,0,0,0,0,0,
0,-1,0,0,0,2,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,1,1,
-1,1,1,-5,4,-1,-2,1,-5,3,2,2,2,-5,-2,-2,2,2,4,3,4,0,
-2,1,-1,4,2,-1,-1,5,-3,0,-1,-1,3,3,0,-1,-1,-1,0,-3,0,0,
2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,1,-1,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,-2,0,0,0,0,0,2,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,-2,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,
-1,-2,0,1,-2,-2,-1,0,-1,-3,0,2,-2,0,-1,-1,0,2,0,-1,0,1,
0,0,-1,1,-2,0,0,-2,0,0,1,-2,-1,-2,0,1,0,0,0,2,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,-1,1,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
1,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,3,1,0,1,
-1,1,-1,-1,-3,-1,-1,-3,1,1,0,0,-3,1,-1,-2,1,-1,-1,1,-1,
-1,0,-1,1,2,1,1,0,0,0,0,-1,-2,-1,-1,-3,1,1,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,
2,0,-2,-2,1,0,-2,1,1,0,-1,-1,0,0,0,0,-1,-3,3,-2,-2,1,
-1,2,0,-2,1,-1,0,1,-3,-1,0,0,0,-2,1,2,1,0,0,2,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,-1,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,-1,1,-4,3,
-2,2,0,-3,1,-5,3,0,0,2,3,0,-1,-3,-3,-2,-4,0,1,1,-1,-1,
1,0,2,-3,1,0,1,-1,-2,-2,0,1,1,0,1,1,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,2,0,1,4,-2,0,
0,-1,0,4,1,0,2,-1,0,-1,2,0,0,0,0,2,2,0,0,1,0,-1,1,0,
0,-1,0,2,1,1,-1,1,0,-2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,-1,0,0,-1,0,3,0,-2,2,1,1,3,-1,1,0,
2,0,1,1,0,0,1,0,1,1,-1,-1,0,0,1,-4,2,0,0,1,-2,0,1,0,
-1,1,0,-2,0,0,0,-1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,1,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-2,0,0,-3,-1,0,0,1,-1,-2,1,0,2,0,3,-2,-2,-1,
0,-2,1,3,1,1,0,0,-1,0,2,0,-1,-3,1,0,1,-1,0,1,0,0,1,
-2,2,-1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,-2,-1,1,0,1,-1,0,0,0,-2,-1,1,0,-1,-2,0,1,-1,
1,0,0,0,0,2,-2,0,-1,2,0,-1,-1,1,0,0,0,0,-1,1,0,0,1,
-1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,1,-2,-3,1,-3,0,2,0,-1,-3,-1,-2,-1,2,-2,2,0,-3,-1,
0,1,1,-2,-2,0,-1,2,1,-1,-1,-1,-2,0,-1,2,-1,1,-1,0,0,-1,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,
0,0,0,0,0,-2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,
0,2,1,-3,2,1,-1,4,-6,-2,2,-2,0,5,3,1,0,0,-3,1,2,0,2,
1,1,2,1,0,2,2,0,-1,4,-1,0,0,-2,3,2,1,-1,1,-1,-1,-1,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,3,0,
3,-3,-2,1,-6,0,-2,-4,-3,-7,2,-1,-5,2,-4,-1,-1,-2,0,-2,
-4,1,-2,-1,-3,1,1,1,-1,-3,0,0,0,-3,-3,-2,1,2,-1,0,1,0,
0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,1,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,-2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
1,0,-1,0,-2,-1,1,1,2,-1,1,1,-1,-1,2,2,5,0,-1,-2,-1,1,
1,-3,2,1,2,-1,0,1,1,-1,3,0,-1,3,0,-1,0,-2,0,-1,-2,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,-1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-2,0,
-2,0,-1,-1,-3,1,-1,-1,-1,0,-2,1,-2,-1,-1,-1,1,-1,0,0,0,
-1,0,1,-2,2,-3,0,2,-3,3,0,1,0,1,-2,1,1,0,0,-1,-2,0,0,
-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,-1,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,
3,0,-3,-1,-2,5,1,-1,2,1,-2,-1,2,1,2,3,2,-3,0,-2,-1,0,
1,-1,0,1,-2,0,2,-4,2,0,-2,0,-1,-2,0,2,2,0,-1,-1,0,0,
-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,-1,0,0,0,0,0,0,0,
0,0,1,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,-1,1,
0,-1,-1,1,2,0,1,-1,-2,-1,2,1,2,1,3,-2,0,0,-2,2,-1,0,0,
1,0,0,1,0,0,-1,0,0,-1,0,1,1,2,-2,2,-1,-1,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,-1,1,2,1,1,
3,3,-4,-1,1,-1,-2,5,1,2,3,-1,-2,-1,1,-1,0,-2,2,2,-1,0,
0,3,0,-1,-1,-2,0,-1,-1,0,-1,3,1,3,-1,-2,-4,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,2,0,0,0,0,0,0,0,
0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,2,0,1,0,2,4,
-1,-2,-1,-1,2,-3,2,-1,-1,4,-4,0,-6,-2,-1,-3,-1,2,0,-1,
-1,-2,2,0,2,-2,0,0,-2,2,-1,-2,0,0,2,-1,0,-1,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,1,0,0,1,0,0,0,-1,-1,0,1,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,-1,-1,-2,
-1,-1,-3,-1,3,0,0,-1,2,-4,1,0,-2,0,2,0,-1,0,1,3,-1,-1,
0,0,0,-2,0,-1,1,2,0,0,0,2,1,-2,-2,-2,1,0,2,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,1,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,1,-2,-1,0,
-3,-1,-2,-3,0,-2,0,1,1,0,-1,-2,1,-2,0,1,-1,0,1,-3,0,-1,
1,0,-1,-1,1,0,0,-1,-2,1,1,-1,-1,-1,0,2,3,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,
0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,3,2,-1,5,0,
0,2,-1,2,0,1,-3,-1,4,2,-1,2,-1,-1,-1,-1,1,4,0,0,-1,-1,
2,1,-2,2,0,0,0,-1,-2,1,-1,2,-1,-3,-3,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,
-2,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,
0,0,0,0,-1,0,0,0,0,0,0,0,0,-3,0,0,-1,1,-1,3,1,1,4,-3,
-1,2,-1,1,2,4,2,-1,0,-1,2,2,1,2,0,2,1,1,0,0,2,-1,0,3,
-1,0,-1,-2,3,2,1,-2,2,-1,-1,-2,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,-2,0,0,0,
0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,2,-1,2,0,0,0,0,3,0,
-1,2,0,-1,1,1,1,0,0,-1,0,1,1,0,1,-2,-1,1,2,0,3,0,0,0,
0,-2,0,-1,-2,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,
1,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,-1,0,0,0,
0,1,0,0,0,0,0,0,0,0,-2,-1,-3,-1,0,2,1,-3,-1,-2,2,2,2,
1,4,1,-1,-2,-3,2,0,-3,0,2,-1,-3,0,0,1,0,2,0,1,0,0,1,
0,-2,0,0,0,2,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,
-1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,-2,-1,1,-1,2,1,0,0,-2,-2,-1,-2,0,0,-1,1,
-4,1,-5,1,0,-2,0,1,-2,1,-1,0,0,-1,1,-4,0,0,-2,1,-1,-2,
1,1,0,0,1,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,
-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,-3,-1,2,-1,0,-4,-1,0,0,0,0,1,-2,0,-2,-2,
-3,1,1,0,4,0,-1,-1,1,1,-1,1,0,2,1,0,0,2,1,-1,-1,-2,-2,
-1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,-1,-1,0,0,
-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,2,-2,-1,-1,-1,0,1,1,1,-2,-1,-1,2,1,-1,0,2,-1,-1,
1,-2,0,1,0,-2,2,0,-1,0,-1,0,1,0,0,0,0,-1,1,0,0,-1,0,
2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,-1,0,3,0,3,3,-3,-3,2,2,-2,3,2,1,2,-3,3,-2,2,-1,
-4,-3,4,1,-1,1,-2,1,-1,-1,0,-2,0,-1,-3,0,-2,0,2,1,1,1,
2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,1,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,
4,-1,3,2,1,6,-3,1,-2,0,4,-3,-3,-2,-2,1,-4,3,-2,-1,-1,
-5,-4,5,0,-3,-1,-3,-1,0,2,-4,0,0,0,-2,-3,-3,0,3,0,2,1,
1,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,
0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,
0,0,0,0,1,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,2,0,2,-1,0,-2,-3,1,-1,0,-1,-3,0,0,0,-1,0,-1,-1,
-1,2,-1,1,-1,1,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,2,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,
-1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,
0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,2,
2,-1,1,3,4,2,0,2,3,-1,0,1,-1,3,2,4,0,-1,2,1,1,2,0,1,
0,-1,0,-1,2,0,0,0,0,2,1,0,-1,1,1,-1,-1,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-2,-1,-4,-2,0,
-3,0,2,-1,3,-3,1,-3,2,2,-2,-1,1,-1,1,-1,1,0,-3,-1,2,0,
-1,-1,-1,-1,-2,-2,0,1,-1,2,2,-1,2,0,2,1,1,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,1,0,0,0,
0,0,1,0,0,0,0,0,0,0,-1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,2,-2,3,0,0,
2,0,3,2,5,-6,-3,0,0,0,2,1,1,0,1,0,-1,1,-1,0,0,-3,-1,
-1,-3,0,0,0,0,1,1,0,2,2,1,-2,-2,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,1,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,-2,-1,-5,-2,0,-2,2,-4,-1,
-2,-4,-3,3,4,-1,-1,0,-4,-5,3,-1,2,2,-2,-2,3,-1,1,1,-2,
0,0,0,0,1,0,2,2,1,-2,0,-1,1,3,0,1,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,-2,0,0,0,-1,0,0,0,0,2,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,2,-2,-3,1,-3,-2,-4,-2,0,-4,-1,3,2,-3,
-2,-3,-3,-2,2,2,2,4,-1,-3,-1,-2,2,2,0,-2,5,-2,0,1,-1,1,
3,-1,-3,-2,-1,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
-1,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,2,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,1,0,-2,1,2,-2,-1,0,-2,4,0,1,-5,0,3,
-4,-1,2,-1,-1,2,-3,-1,4,-1,-3,0,2,0,-1,0,0,-1,-1,-2,-1,
0,0,-1,2,-1,0,2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,
0,0,2,-1,0,1,1,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,
-2,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
2,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,1,0,0,0,
0,0,0,0,0,1,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1 ],
\[ 0,1,0,0,0,0,1,0,0,-1,0,0,0,1,0,-1,0,0,0,0,1,0,0,0,
-1,0,-1,-1,0,-1,-1,-1,0,0,0,0,1,0,1,1,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,-1,
1,1,0,1,-2,2,1,2,1,2,2,3,0,3,-1,0,0,-1,1,0,0,1,-2,0,
0,3,1,0,0,1,0,-2,-1,1,1,2,0,1,-1,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,-2,-2,-1,-1,0,
1,-2,0,0,-1,-1,-1,1,3,-2,1,-1,0,0,-1,0,-1,0,1,0,0,0,1,
0,1,0,-2,0,-1,-1,0,-1,-1,0,2,2,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,-2,-1,0,1,3,-1,1,
2,0,-1,-1,1,1,-1,4,-2,-2,1,0,1,1,0,-1,0,0,0,0,2,0,0,
0,0,0,0,-1,-1,-1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,-1,0,1,-1,1,-1,-1,2,-1,0,-3,0,0,
3,2,-2,-2,1,-4,-2,1,-1,1,1,-2,-2,0,-2,1,0,-3,-2,0,0,-2,
0,1,1,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,2,2,3,2,-3,-1,2,2,-1,2,1,0,0,
-2,0,-1,2,0,1,0,1,2,-1,1,0,-1,0,2,1,-2,0,1,1,0,0,1,1,
1,0,-1,-1,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,2,-1,-2,2,1,0,0,-2,0,2,0,-2,0,-1,-4,-3,-3,1,0,
0,0,3,2,0,2,-1,-2,2,1,0,0,4,-2,0,3,-1,1,2,-2,-1,-2,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,
0,-1,1,0,1,0,1,0,0,1,2,4,1,-1,0,0,0,3,0,2,1,1,-1,0,
0,2,0,2,0,-1,0,3,1,0,0,-2,0,0,0,1,1,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,
0,2,1,-1,-1,-1,-1,-3,2,-1,0,0,-1,2,-1,0,1,0,-2,1,0,1,
0,0,1,0,1,0,-1,0,3,-1,-2,-1,0,1,1,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,2,0,1,1,
-1,0,1,2,0,0,-1,-3,0,-2,1,1,2,0,0,0,0,1,1,0,2,-1,0,0,
1,-1,0,2,0,1,-1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-1,-5,1,1,-2,-2,-1,
-1,-3,-2,1,2,1,3,-3,-4,-5,0,-1,-1,1,0,-2,-2,-1,-1,1,0,
-1,-3,1,0,-1,0,0,0,0,-1,1,0,-1,-2,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,1,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,-2,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-2,1,0,2,0,-3,-2,
-1,-1,-4,2,0,-1,0,-1,-1,-2,1,0,0,-1,0,1,1,-1,1,2,0,1,
1,0,0,1,-2,0,0,1,-1,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-3,-1,0,-2,2,1,-2,0,
-1,-1,1,1,1,2,-1,-1,-2,-1,-1,0,0,-1,0,-1,-1,0,0,2,-2,2,
0,-2,2,-2,-1,-1,0,0,0,1,1,0,0,-1,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,-1,0,-1,3,2,0,0,0,-2,
-1,-1,-1,0,2,1,-1,1,-1,0,0,0,1,-1,0,0,0,0,0,1,0,1,0,
-1,-1,-2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,-1,2,-1,0,-1,-2,3,2,0,0,-1,-2,-2,0,
0,2,2,0,-4,1,0,0,-1,1,0,-2,0,1,0,2,-1,0,0,0,1,-3,0,
-3,1,2,0,1,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,-1,0,0,0,0,-1,0,2,0,-1,-1,1,1,0,-2,0,1,3,0,3,2,3,0,
2,-2,-1,-1,-2,0,0,2,-1,-1,2,0,0,0,0,0,-1,-1,-1,0,1,0,
1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,-1,0,-1,0,0,0,0,0,0,0,-2,-1,0,2,-1,2,1,-3,0,
1,-2,-3,-1,0,2,0,0,1,0,3,-3,1,0,-1,2,-2,-2,1,1,0,0,1,
0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,-2,-1,0,3,1,-3,-3,0,-1,-1,1,-1,2,1,0,-1,0,-1,
-2,1,-2,2,0,0,0,0,-1,-1,2,0,-1,1,-1,-1,0,-1,-2,0,2,3,
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-2,
-2,-2,0,1,-1,0,0,0,2,-1,-1,1,1,0,-1,-1,0,-2,1,-1,1,2,
-1,2,1,-2,1,1,0,0,2,-1,0,0,0,2,2,0,0,0,0,-1,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,
-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,1,1,
0,1,0,1,-1,-2,-1,-3,1,-1,-1,0,-1,1,-2,-3,0,0,0,0,0,0,
-2,0,2,0,-1,0,0,0,0,-1,-1,0,-3,-1,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-3,3,1,
-1,-3,-3,1,1,-1,-1,0,1,2,-3,0,-5,2,1,-3,0,-2,0,0,-1,0,
0,0,1,-5,0,0,0,1,0,0,0,1,2,0,-1,-2,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,1,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,1,-1,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,2,0,0,-2,0,2,
-1,-1,-3,2,0,1,3,-1,1,2,-1,0,2,0,0,1,-1,0,2,-1,-1,0,
-2,-1,-1,0,-2,0,1,1,2,0,1,0,-1,0,0,0,1,0,-1,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,-1,1,-1,2,-1,1,-2,
-1,2,1,2,0,-1,1,2,-1,0,1,2,0,0,1,-2,1,0,0,1,-1,0,-1,
-1,-1,0,2,0,1,1,1,1,2,0,-2,-2,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,-2,0,0,0,1,-1,-2,-3,-1,
0,1,2,2,0,0,0,0,1,-1,0,1,0,-1,1,-1,-1,0,0,1,0,2,0,0,
1,0,0,1,-2,-2,0,-1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,1,2,0,2,-2,1,-2,1,1,0,1,-2,4,3,3,1,
3,-3,-2,1,-1,-2,2,3,1,-2,-4,2,-1,-2,0,-7,0,-3,0,0,-1,4,
2,0,1,4,0,-1,-2,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,-1,0,0,0,0,1,-1,2,-3,1,-2,-2,1,-1,2,-2,1,-1,2,
-1,-2,-2,-2,0,0,0,2,2,-1,-1,-3,0,0,-1,0,-4,0,-1,0,-2,
-1,3,3,0,0,0,0,-2,-2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,-1,-2,0,1,-2,-1,1,1,2,-1,-3,0,
0,-1,2,-1,-1,0,1,-2,-2,-1,0,0,0,0,0,0,4,-3,2,0,0,1,-2,
-2,0,1,0,0,1,-1,0,0,-1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,-3,0,-3,0,-2,0,1,2,0,-3,2,0,0,1,2,-1,
-2,-1,0,-1,0,1,0,-2,-1,0,0,0,0,-3,-1,0,0,0,1,1,1,0,0,
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,-1,-1,-3,0,0,3,0,-2,3,2,3,-1,0,0,-2,3,-2,-2,1,4,
-2,0,1,-1,2,2,0,0,-1,0,3,1,0,0,3,2,-1,-3,1,1,0,0,-2,
0,0,0,-1,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,
1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,
0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,1,0,0,0,
0,0,-2,-1,1,2,1,0,-1,2,3,2,-1,0,0,0,0,1,0,-1,-1,1,1,
2,0,3,-2,0,0,1,0,3,2,-1,0,1,1,-1,1,-1,1,2,0,0,-2,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-2,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,2,1,2,
2,0,-1,-1,3,1,2,2,2,-3,-2,-2,-3,0,3,2,-2,1,0,1,0,0,-1,
-1,0,0,0,-1,1,0,0,0,-1,0,1,-3,0,-1,0,1,0,0,0,0,0,1,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,-1,-1,0,0,1,1,
-1,-1,-2,1,-1,-4,0,1,-1,-1,-2,0,-4,0,1,2,1,-1,1,-2,0,0,
0,0,1,0,-2,0,0,0,0,1,-1,1,2,0,-1,-2,0,0,-1,0,-1,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,3,0,1,-1,1,
2,1,3,-2,-1,-3,-3,0,1,2,2,-1,2,0,1,0,2,0,-1,1,1,0,4,
3,0,0,2,1,-3,-1,-2,2,1,0,0,-3,0,0,-1,-1,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,2,-1,-1,1,-1,0,1,-1,1,
-1,0,0,2,1,-1,1,0,-2,3,-1,-1,3,1,0,0,-2,0,0,0,0,0,3,
-1,0,3,-1,0,0,0,0,1,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,-1,-2,0,0,-1,-1,-1,
0,-3,-2,-1,-3,2,0,1,-1,0,1,-1,-2,-2,0,0,1,0,0,-1,-1,2,
0,1,-1,0,0,-1,-2,-3,0,2,2,0,0,1,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,2,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-3,0,0,3,0,-2,3,2,3,0,3,2,2,0,
2,1,4,2,3,-5,-1,1,2,0,2,-1,0,-1,2,0,1,3,-1,0,1,1,-1,
1,-3,1,2,0,3,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,2,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,2,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,-1,0,0,0,0,0,-2,0,0,1,1,-1,1,1,2,-4,-4,3,3,-2,0,-5,
-1,-3,-1,-1,3,2,1,1,-2,-1,0,1,0,-3,2,-3,0,1,0,1,1,-1,
2,2,0,-2,-2,0,0,-1,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,-1,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,-1,0,1,0,5,-1,0,2,1,1,0,1,-1,0,-1,-1,-3,1,
4,3,-1,1,3,0,0,1,1,1,0,0,0,2,3,-1,0,3,0,-2,-1,-1,0,
-1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,
0,0,0,1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,2,-2,1,-3,1,2,1,1,1,3,2,2,3,3,1,-1,0,-4,
-2,1,3,-1,0,-3,0,-2,1,0,-3,0,-2,0,-2,1,1,2,-2,1,3,0,0,
-2,0,0,-1,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,-1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,1,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,1,0,1,0,0,0,-2,0,-1,2,-2,0,-4,-2,-2,-3,-2,1,-1,3,
2,0,-1,0,-1,0,1,1,-2,0,-1,-1,0,0,0,-1,1,0,1,0,-1,0,-1,
0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-2,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,-1,2,0,0,1,-3,2,-1,1,-2,-2,-3,-2,2,-1,2,2,-3,0,2,-1,
0,-1,2,1,0,-1,0,0,2,-2,1,0,-1,-2,-1,1,0,0,2,0,-2,-2,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,-2,
1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,
-1,-1,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,
0,1,-3,1,1,4,1,-3,-4,-4,0,-5,2,2,4,-1,0,2,-6,1,0,-2,
-3,0,0,3,-1,-2,1,0,6,-4,2,0,1,2,-3,-2,1,-1,-1,0,1,1,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,
0,0,-2,0,-1,1,1,-2,-1,0,-1,-1,-2,1,0,-1,2,-1,0,0,0,1,
-2,-1,0,0,0,0,-1,1,1,0,0,-1,-1,-1,-1,-1,-1,0,1,1,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,-1,4,
-1,0,0,-2,3,3,3,-1,1,1,1,2,0,-1,0,-2,-2,1,-2,-2,2,-1,
-2,1,-3,1,0,-2,-2,-2,0,-2,0,-1,-1,0,4,3,0,0,-4,0,0,-2,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,-2,0,-1,-2,
0,0,2,-1,1,2,1,-4,-3,0,0,1,0,-3,1,-4,1,1,-2,-1,2,1,0,
-1,0,1,0,0,-2,0,0,1,1,-1,0,0,2,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,-1,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,2,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,-1,1,1,0,
-1,-2,0,3,4,1,-4,-2,0,-1,2,3,1,2,3,-1,0,-2,3,1,1,1,-1,
0,5,-1,0,0,2,1,-1,-1,1,1,1,0,-2,-1,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-3,0,-1,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,-3,1,1,0,-3,2,3,3,
0,-4,1,4,2,3,1,1,0,0,-4,-1,4,3,0,1,-2,1,-1,2,0,-4,3,
-3,0,1,0,1,2,-1,1,3,0,0,-2,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,-1,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,-1,0,0,0,-1,-1,0,1,-3,2,-1,-5,2,1,3,-1,
0,-6,-2,-1,-1,-4,2,0,1,1,-2,3,-3,0,1,-4,0,0,0,0,-3,3,
0,2,1,-2,0,-2,1,-2,0,-4,-2,0,0,0,0,2,0,0,0,0,0,0,-2,
0,0,0,0,0,0,0,0,0,-3,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,1,-1,2,-1,3,0,4,4,-4,-1,-4,5,
-1,7,0,3,7,1,0,3,2,-1,-3,-3,1,2,4,1,-1,1,0,4,-1,0,0,
3,0,-3,-3,3,1,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,-2,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,1,1,2,-1,-1,0,2,-3,-1,-3,-3,3,-2,-3,
-2,-1,-3,1,2,1,0,0,-2,-3,-2,0,4,-3,0,-1,0,5,-4,4,0,2,
-1,-2,-2,-1,-2,-3,0,1,1,0,0,0,0,2,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,-1,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,
0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,-1,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,0,0,0,1,0,0,0,1,-3,1,0,0,2,-1,1,-2,-4,1,4,0,-1,1,
2,-3,1,0,0,0,0,0,0,-4,1,0,-1,-1,0,0,1,-3,1,0,0,0,1,1,
-1,0,-2,0,0,-2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,-1,0,0,-1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,
0,0,0,0,0,0,0,2,1,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,
0,1,0,0,0,1,-2,2,0,5,0,2,2,0,-1,-3,0,-3,5,1,1,-1,0,4,
-1,-2,1,0,-2,3,1,2,-1,-1,2,0,3,2,-1,0,0,0,-3,-1,0,0,0,
0,1,1,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,1,-1,3,1,2,4,-3,-1,0,1,1,5,0,1,3,-4,-1,1,1,-3,
-1,0,2,1,0,-1,-1,1,0,-3,1,-1,0,1,-2,2,1,0,0,0,0,0,1,
0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,
0,1,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,1,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,-2,0,-3,0,0,-2,-1,1,2,0,1,-3,0,-2,0,0,-3,0,2,0,1,-1,
0,-1,-2,2,1,-3,0,0,-1,0,0,-1,1,1,-1,2,0,1,0,-1,-1,0,0,
-1,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,-1,
0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,1,0,0,
-1,1,0,-1,-2,-1,2,0,2,-3,0,-1,-1,-1,-1,-1,4,3,-1,0,0,0,
-1,2,1,-2,0,0,-1,0,0,-1,0,2,0,3,0,0,0,-2,-2,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,-1,0,
-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,
-1,3,0,-3,-2,-2,-1,-2,0,-1,0,0,-1,0,-1,4,2,-1,-3,1,-1,
2,1,0,0,0,3,-1,1,0,0,-1,-2,-2,4,-1,-2,0,-1,0,0,0,1,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,1,2,2,-1,0,
-2,-1,3,-1,0,-1,1,-1,2,1,-2,1,1,-1,-1,1,1,3,-1,-1,-2,0,
-2,0,0,-1,0,0,0,-3,0,1,2,0,0,0,0,-1,-1,0,0,-1,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-2,-1,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,-1,-1,-2,-2,
-1,5,1,-4,-2,0,-2,1,3,0,5,2,0,-4,0,-1,2,-1,-1,1,-2,-2,
2,0,3,0,4,0,-2,2,-3,-1,-2,-2,-1,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,-1,-1,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,-3,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,3,5,0,0,
1,5,1,0,-4,0,-1,-2,1,-3,-1,5,-1,-1,4,0,-1,2,0,0,0,0,0,
0,-2,0,-2,0,1,0,-1,1,0,3,2,0,0,-2,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,-1,0,-1,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,2,1,2,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,1,-1,2,-2,-1,0,
-1,0,-2,-3,-2,-3,2,0,1,3,2,-3,0,-2,0,0,-1,0,-2,-1,0,0,
1,0,1,0,0,0,-2,-2,-2,0,0,0,3,0,0,-2,0,0,0,0,-1,0,0,0,
0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,-1,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,2,-1,-4,-4,0,-1,-1,
-1,1,-1,-3,0,1,4,0,3,-2,-3,-5,0,-2,0,3,2,-1,-2,1,0,-1,
0,-1,-1,0,0,-2,4,2,-1,0,-1,1,0,0,2,0,0,-1,0,-2,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,-2,-1,0,0,0,0,0,0,1,0,-1,0,0,1,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,-3,-2,-1,-2,
0,0,-1,-1,2,1,-1,1,4,2,-3,4,-1,-1,0,-3,0,-1,0,0,0,-1,
0,0,-1,-1,0,-1,-2,-1,-1,2,1,3,0,-2,-4,0,0,0,0,-1,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,
0,0,1,0,0,0,0,0,-2,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,-2,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,1,2,1,2,0,-1,0,
2,0,0,1,1,-2,0,0,-2,3,3,1,-1,3,2,3,0,0,-2,2,-1,0,0,3,
3,0,0,0,1,-2,0,0,0,0,0,-1,0,0,0,1,0,-1,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,1,0,0,-1,-1,0,0,0,0,0,-2,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,-1,0,1,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,4,1,0,-4,1,0,0,0,-1,-2,
1,2,0,2,3,0,1,-2,-1,0,-2,-1,0,-1,-2,0,-2,-1,-1,0,1,-4,
2,0,-2,2,0,0,1,-1,-1,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,1,0,0,0,0,0,0,0,0,0,-1,0,1,-2,-3,2,4,4,0,-3,2,
3,2,0,2,-2,-1,4,-3,-4,4,3,2,0,-2,0,0,-1,0,-6,3,-3,0,2,
0,2,1,-2,2,2,0,1,1,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,-2,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,-1,1,0,1,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,-1,-2,1,-3,-2,1,2,-2,-2,-2,0,3,-3,-4,
-2,-1,-1,0,0,-4,0,0,-3,0,-1,1,0,-2,1,1,0,3,-4,3,0,-1,
1,-2,0,-3,-2,-4,0,2,3,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
2,0,0,0,0,0,0,0,1,-1,2,1,3,-1,-2,0,1,0,1,3,2,0,-2,-5,
-1,-1,1,6,-2,0,1,4,0,1,-1,-2,1,2,0,-3,7,0,0,0,-4,2,2,
-4,-3,-3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,2,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,1,0,0,1,3,1,-1,-2,3,0,1,-4,-4,1,1,-1,-3,-4,
4,-4,-2,1,2,2,1,2,1,-3,-1,3,0,-2,3,-3,0,0,0,0,2,-2,1,
-1,0,-2,0,0,0,-1,0,-1,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,
0,-3,0,0,0,-2,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,-1,0,0,-2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,-1,-1,2,1,-2,-2,-1,0,0,-2,-4,0,1,-3,-3,0,-1,4,
-1,1,0,0,-1,-3,-1,-3,1,0,1,0,0,1,-2,2,0,-2,0,-1,-1,1,
-3,-3,0,2,3,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,1,-2,0,-1,-2,2,0,1,-4,0,-1,1,0,-1,-4,0,
-3,0,0,0,0,1,-1,-1,-1,-1,0,0,-3,-1,-1,0,-3,0,2,0,0,0,
0,0,-2,-2,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-2,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,1,0,0,1,1,4,-2,-2,-2,0,-2,-5,1,-1,-1,1,-4,1,
-5,3,2,-3,-1,1,1,3,-1,0,2,0,1,0,1,0,0,-1,-1,-2,1,-1,
-1,0,-3,-1,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,1,0,
0,-2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,1,
0,0,0,0,1,1,0,1,0,0,-1,1,-2,-1,2,-3,-2,-1,0,-3,3,4,0,
-1,2,-2,-1,-2,0,3,-2,1,1,0,5,-1,2,0,1,0,-3,0,-2,0,-1,
0,2,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,
0,0,0,1,-1,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,1,-1,2,1,-3,1,-1,3,-1,-2,-2,5,5,1,1,4,4,3,-2,1,-2,
-1,-3,0,-2,-1,-2,1,-1,-1,0,-1,-5,1,0,-3,1,1,0,-1,0,2,0,
2,-1,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,
0,-1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,
0,0,1,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
2,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,
1,3,-2,0,0,-1,0,-1,1,0,-1,-4,-2,2,1,1,0,0,-1,0,0,0,-1,
-2,1,-2,1,-1,0,1,0,0,0,1,0,0,-1,-1,0,2,1,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,2,1,
-1,0,-1,0,0,-1,-1,1,0,-1,-2,-1,-1,1,2,-2,0,2,-3,-1,1,
-2,0,1,0,0,0,0,-2,0,0,-2,1,-1,0,-1,0,-2,0,4,5,0,0,1,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,1,0,1,0,
-3,-1,0,1,2,-2,0,1,-3,-3,-1,-1,3,0,3,-3,1,2,-2,0,0,-1,
2,0,-2,0,0,-1,0,0,1,-1,-1,-2,-1,-1,0,0,2,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,-3,1,-1,
1,0,-2,0,-1,4,-1,-5,-2,1,-2,4,0,1,3,1,-1,-2,-2,1,2,1,
0,-2,0,7,-3,3,0,2,3,-3,-3,1,0,-2,0,2,1,0,0,0,0,1,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,2,-2,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,-2,2,-1,4,2,
-3,0,-1,5,0,1,3,0,1,2,-2,3,3,-1,0,-1,0,0,0,3,-1,-1,0,
5,2,2,0,0,2,-1,-3,3,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,-1,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,-1,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,1,0,0,0,1,3,-1,-1,-2,2,3,2,-6,-3,
1,3,-1,0,-1,-2,2,-2,-3,-1,3,-1,1,-1,-1,-1,-3,2,1,-3,0,
2,-2,0,-1,2,0,0,-1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,2,-2,-2,1,1,1,1,1,1,0,
-3,-3,4,4,1,0,-1,-2,-5,-3,-2,3,3,1,1,-2,0,-2,2,0,-3,3,
-2,0,-1,0,2,2,-2,-1,1,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,-1,-1,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-2,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,3,3,-3,-1,1,6,5,-1,
-1,1,0,-3,0,-1,3,1,6,-4,-1,2,-2,1,-1,0,-1,-1,1,0,-2,2,
0,0,1,0,-3,0,-2,2,0,0,3,1,0,0,1,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,-1,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,-1,0,0,0,-1,-3,0,0,-1,1,2,0,0,0,-2,-1,-1,
2,1,7,3,1,1,-2,0,0,-2,-2,-1,0,2,-2,-3,1,0,5,-5,1,0,3,
3,-4,-1,2,3,4,0,-2,-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,
-2,-2,0,0,0,0,0,0,0,0,0,-2,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,2,1,0,0,-2,-1,0,3,0,-5,-1,-3,0,
-1,1,-1,4,2,-1,-3,0,1,0,-1,-1,2,-1,-1,2,0,3,0,1,0,-1,
2,-3,0,-2,-2,-2,0,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,2,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,-2,-2,4,-4,0,-4,-3,4,2,3,-3,5,-5,-2,
0,-1,1,-1,2,0,1,1,2,-1,-1,-2,1,1,-3,0,-5,-1,0,0,-2,-1,
3,3,0,0,2,0,-2,-2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,-1,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,-1,0,0,0,0,-1,-3,-1,-2,0,-1,-1,1,1,2,-2,-3,-1,1,
-2,-1,-1,-2,0,-3,-2,5,4,-2,1,-4,-1,1,0,0,-2,2,-1,0,1,
-2,1,2,-3,-1,1,0,-1,-2,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,2,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,-2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,2,2,1,0,-2,-1,2,-2,1,-1,0,-3,
-1,-2,-4,0,3,0,-1,2,-2,-1,0,-1,0,1,1,0,0,-3,-1,1,0,-2,
-2,1,1,-2,0,-2,0,2,3,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
2,2,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-2,0,1,-1,1,-1,-2,1,2,4,-1,2,-3,-2,
-3,1,-5,0,0,0,1,1,4,0,1,-4,0,1,-1,0,-4,0,-2,0,1,-1,2,
2,-2,1,2,0,-2,-2,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,
0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,1,-2,-2,-3,-1,-4,0,0,4,1,0,4,-3,1,2,
1,5,-3,3,-1,-1,2,3,-1,-1,-3,4,-1,-2,0,0,0,2,0,0,3,0,0,
0,-1,-1,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,
0,0,3,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,
0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,-2,-2,-1,-2,1,-3,0,-2,0,-1,2,1,0,0,3,
-4,1,-1,-1,4,1,-1,-1,-2,2,1,0,0,2,3,-1,0,1,0,0,1,1,-1,
0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,2,-1,-2,0,-1,3,-2,-3,0,-1,1,-2,-2,-1,-1,1,0,-2,
-1,2,3,-2,-2,0,1,0,1,0,0,0,4,-2,2,0,1,-1,-2,-3,2,0,0,
0,-1,-3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,
0,0,-1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-2,-1,0,0,0,0,
0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,2,1,-1,-5,0,-2,-2,-1,-2,-1,-1,0,-3,0,-2,-1,0,-3,
-4,-3,0,1,3,-1,-1,-5,0,1,0,0,-3,-2,1,0,-3,-1,3,2,-3,-4,
-1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,
0,0,0,1,-1,0,1,0,2,0,2,3,0,-1,2,2,2,0,4,-5,0,1,1,-1,
-2,1,3,-1,0,-1,-2,-1,0,-2,0,0,0,1,1,0,-1,0,2,2,0,-1,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,-1,-2,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,1,0,3,-5,-2,-3,-2,1,-2,-2,-2,3,-3,-2,0,1,2,-4,4,0,-1,
2,0,-3,-3,-2,0,0,-3,0,-3,-2,1,0,-2,-2,2,2,1,-1,0,0,-1,
-1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
-1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,2,0,-3,-4,-3,5,3,0,-4,-1,-2,-1,-1,-2,2,2,3,-4,2,2,
1,-1,-1,-1,-1,0,2,0,-2,3,0,0,0,-2,-1,1,-2,0,0,0,-1,-1,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,2,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,3,0,-1,2,1,2,2,2,1,0,0,0,-2,3,1,3,-2,0,2,0,0,
1,-1,1,0,0,0,1,3,-1,0,1,0,0,0,-1,1,1,0,2,-1,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,-1,-3,1,
-2,0,2,-1,3,-3,-1,1,1,-2,2,4,1,-1,1,-1,-2,0,-1,1,0,1,
0,-1,1,0,1,0,1,0,3,1,-2,-2,0,-1,0,0,2,1,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-1,2,-1,-1,
3,-1,4,0,0,2,5,0,0,4,-1,-1,2,-2,-2,0,1,3,0,-1,0,-1,3,
0,-2,4,-2,0,2,0,0,0,-1,1,1,0,3,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,-1,0,1,0,-1,-1,-1,-2,
-3,-1,-3,3,-2,-6,-6,-2,0,6,2,0,-1,4,-2,-1,-2,0,1,2,2,0,
0,6,-1,4,0,0,1,-5,-3,-1,-3,-3,0,2,3,0,1,1,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,-1,0,2,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,-3,-3,3,1,-2,-4,
-3,2,3,-2,-4,2,-1,-2,-1,0,-4,-1,0,1,3,-2,2,-4,0,0,-1,0,
5,-2,1,0,0,3,-1,0,-3,-1,0,0,-1,0,0,0,-1,0,-1,1,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,2,-1,1,0,-1,0,-3,1,1,
2,-1,-1,-6,-3,-4,-4,0,1,2,1,2,1,-1,-1,1,0,0,2,-2,0,1,
0,1,0,1,-1,0,-1,0,1,-1,0,-2,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,1,0,0,0,0,-1,-1,1,-1,-2,-1,-2,5,3,0,
-4,1,-1,0,1,3,0,0,0,-1,0,0,2,1,-1,0,1,-2,-1,0,-2,0,0,
0,-2,0,-1,-1,0,1,2,0,-2,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,-2,0,0,0,0,0,
0,0,0,-2,0,0,0,0,0,0,0,0,0,-2,0,0,1,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-3,0,0,0,0,0,0,0,-1,1,2,2,-2,-2,-5,1,3,1,-1,0,
5,-2,0,1,-1,3,-1,4,-2,0,2,1,-2,-1,-2,1,-1,-1,0,-3,1,0,
0,-3,0,2,2,0,-1,-1,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,2,0,
0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,1,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,2,-4,-3,-2,-3,2,2,-3,-3,0,
-2,-1,-1,3,2,-2,4,-2,0,2,0,-2,-2,-1,-1,0,0,0,0,-1,1,0,
1,0,-3,-1,0,0,1,0,-2,-2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-2,1,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,1,-1,2,0,-1,-1,-1,2,3,3,0,1,-1,
-1,0,-1,2,0,1,-2,0,0,-1,0,0,-1,0,-1,2,0,0,1,-1,0,-1,0,
-2,0,-1,2,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,-1,-1,-1,-3,2,-1,0,-1,3,4,2,-4,-3,0,2,
0,0,-3,2,-2,-1,0,2,2,2,2,-1,0,-1,0,0,0,2,-2,0,2,2,-1,
-1,-1,3,2,0,-1,-1,0,0,-1,0,-1,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,1,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,-1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,2,0,-1,-3,-1,0,0,-2,0,-2,1,0,-1,
-1,-2,1,1,-3,-2,-2,-1,0,-1,1,-1,-2,0,1,0,0,1,-1,0,0,-2,
1,0,0,-1,-2,-1,0,3,3,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,-1,0,0,0,-1,1,-1,1,-2,4,0,-3,-1,-2,2,-1,-1,-1,
2,0,-2,-2,2,-6,1,2,-1,2,1,1,-1,-1,0,0,0,2,-1,-1,0,-2,
2,0,2,1,0,1,0,-2,0,0,0,-2,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,-1,0,-1,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,2,1,-1,1,0,1,2,-1,1,2,2,1,3,3,
-2,1,-2,-2,1,0,-3,1,2,2,1,-2,1,-1,1,0,-3,4,-1,0,-1,-1,
4,1,0,-1,-1,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,
0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,1,2,0,-3,1,3,0,-2,-4,-4,1,-4,3,2,3,
4,1,-1,-4,-1,-2,-2,-1,-2,0,2,-1,-1,1,0,3,-4,2,0,-1,1,
-2,-2,0,-1,2,0,-2,-1,0,0,-1,0,-1,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,1,0,0,0,1,1,-2,-1,-1,0,1,-1,2,3,0,-1,1,-1,0,
2,1,0,0,-1,0,0,-2,-1,1,0,1,0,-1,-1,0,1,-2,1,0,0,2,-1,
-1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,-2,2,3,-1,-1,-1,4,5,4,-1,0,-2,-3,-3,-2,
0,2,3,-1,1,3,2,1,2,-1,0,1,1,0,-1,5,-2,0,1,-1,-1,2,-2,
2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,-2,1,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,
0,0,0,-1,-1,2,-1,-1,0,0,-3,2,1,0,0,1,-4,-2,-1,0,1,2,0,
1,1,-2,1,0,0,2,-1,1,-1,0,2,-1,2,0,0,1,-1,0,0,0,-1,0,
-1,3,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,
0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,2,-2,-2,1,-4,1,0,-1,3,-2,-5,-5,-4,0,1,0,0,
-1,2,-4,-3,-3,-2,1,-2,1,1,0,0,-4,3,0,0,-1,-3,-3,-3,0,
-3,0,2,0,0,0,0,0,2,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
-1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-2,0,1,-5,-1,-2,-2,2,1,0,1,1,-4,-2,-2,1,0,-3,3,
-1,-2,1,0,-3,-1,-1,-1,1,-2,0,-3,-4,1,0,0,-1,1,0,-2,0,
-1,0,0,-1,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-3,0,0,-2,1,0,-1,-2,-1,1,1,-2,-3,-2,-1,-1,-1,2,
-4,-1,1,-1,-1,-1,1,0,0,1,0,1,3,-3,0,0,0,3,-2,-2,-2,0,
-1,0,1,1,0,0,-1,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,-1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,
0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,-1,1,-1,2,-3,2,0,1,1,-3,1,-2,-1,-1,-2,0,3,0,3,
1,-1,1,-1,0,1,3,0,0,0,0,4,2,2,0,0,0,-2,-2,1,-2,-2,0,
0,2,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,
0,1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,
0,-1,0,1,0,-1,-6,2,3,4,2,2,6,-1,-1,0,0,3,1,5,-3,-2,2,
3,-2,-1,-1,1,0,0,0,-3,2,-1,0,2,1,2,1,-2,1,0,0,3,2,0,
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,-2,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,-1,0,0,0,-1,-3,
-1,0,-1,2,4,-5,2,1,3,-1,-8,-3,2,-1,-2,-3,2,-7,-2,2,-2,
1,0,2,-1,-3,-1,3,0,5,-2,2,0,-1,2,-4,-2,-3,2,1,0,-3,-3,
0,0,-2,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,-1,0,0,
0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,
-1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,2,1,3,4,0,-4,2,5,2,2,0,5,0,1,1,-5,2,5,5,-3,1,4,2,
0,1,-1,0,-1,0,0,-3,4,-3,0,2,0,2,3,-1,1,1,0,0,-1,0,0,
1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,-2,-2,
3,-1,0,0,-2,2,2,1,-4,-1,-2,-3,-1,2,-2,2,0,1,2,0,-2,-1,
0,3,0,1,-1,0,-3,-2,-1,0,2,-1,-1,-2,0,1,3,0,-2,-2,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-2,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,-1,-1,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,-3,-2,
-1,0,2,0,2,-2,0,1,1,0,3,1,1,2,-1,-1,-2,-2,-2,2,2,0,1,
-2,0,-1,1,0,0,1,-2,0,1,1,0,1,-2,0,2,0,1,-1,0,0,-1,0,
-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,-1,1,-2,
1,-1,2,0,-1,0,0,2,0,2,6,2,1,-1,-2,1,-1,-2,0,-2,-1,0,1,
-1,-1,0,0,-5,1,0,-1,3,0,0,1,2,3,0,0,-3,0,0,0,0,0,0,0,
0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,1,0,-1,-2,0,-1,1,
-1,-1,-2,-2,2,2,0,0,2,0,-2,2,1,-2,1,-1,0,0,1,-1,2,-2,
0,-2,0,-1,0,0,0,2,1,2,0,1,0,-1,1,0,0,1,0,-1,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,-1,0,4,1,-2,1,
1,-1,2,1,1,1,4,-3,-5,2,4,-1,0,-2,3,0,-2,2,0,-4,0,0,-2,
-1,0,0,1,0,-1,3,3,4,0,-2,-4,0,0,1,0,-1,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,1,0,0,-1,2,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-2,0,0,0,0,0,0,0,0,4,1,-4,4,-1,0,2,-1,0,-2,0,
-3,4,2,1,0,1,2,-1,-1,0,1,2,0,1,1,-1,0,3,0,2,3,0,0,4,
0,-1,0,0,-1,-1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,1,0,1,1,-4,0,-3,1,-1,1,-2,0,-1,-3,1,2,1,
4,3,0,-2,-4,1,0,-2,-1,0,-1,1,2,-1,0,0,-1,-3,1,0,-1,1,
0,-2,2,0,2,0,0,-2,0,0,-1,0,0,0,0,0,0,0,0,2,0,0,0,0,
0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,-1,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,-1,2,-1,-1,0,-1,0,-1,-1,-1,1,5,-2,1,2,
0,2,0,4,2,0,0,0,0,-1,1,2,-1,-3,0,1,-1,2,0,0,0,1,-1,3,
-2,-1,0,-2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,1,1,0,0,-4,-1,1,-2,-2,-1,-2,-1,0,-1,-2,0,2,-1,
-3,-2,1,1,-3,-3,0,-1,1,0,1,-1,0,0,-5,1,0,-2,-1,0,-2,1,
-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,1,-2,-2,-4,-1,4,1,-1,-2,2,-2,-1,1,-1,3,1,
1,-3,-1,-1,0,-1,-1,1,-2,0,2,0,-2,0,2,0,-3,-1,1,2,-1,-2,
-2,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,-3,0,2,-1,0,-4,0,4,3,2,-2,6,-3,-2,1,1,-2,1,4,0,
0,-1,0,1,-1,0,-1,0,-1,0,-6,-2,0,0,0,0,2,1,0,1,0,0,-1,
-2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-2,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,
0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,-1,0,
1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,-1,1,1,-2,0,1,1,-1,-1,-3,-3,3,3,1,1,4,-4,-3,0,1,-2,
-2,-2,4,-2,-1,0,0,-2,0,-4,-3,0,0,-2,0,2,0,2,1,2,0,0,0,
0,0,1,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,
2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
-1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,2,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,2,
-1,0,2,3,2,0,0,3,6,4,1,-1,0,-3,0,-4,1,0,2,1,1,2,-1,3,
-1,0,1,-1,0,0,1,-3,0,3,1,1,0,-1,3,3,0,-2,-4,0,0,-1,0,
0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,2,0,1,2,
-1,-3,3,2,1,0,-2,4,6,3,0,1,-2,-2,4,-2,-3,4,3,2,0,-2,1,
-1,0,0,-9,5,-4,0,-1,-4,6,3,0,-1,1,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,
-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2,0,-1,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,-1,2,
1,-1,2,-3,-4,0,-2,0,4,3,-2,-3,-3,-1,-2,-1,0,4,3,2,0,-4,
1,1,1,0,-5,5,-4,0,-1,-5,6,4,0,-3,0,0,-1,0,0,0,0,0,-1,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,-1,2,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,1,1,-1,5,0,2,
2,0,0,0,2,-2,0,0,1,-3,4,3,0,1,3,0,-1,1,2,1,2,0,0,0,
5,2,0,0,0,1,-2,0,1,1,0,0,2,2,0,0,1,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,2,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,2,-1,1,-2,-1,0,-1,-1,1,0,2,
-1,-3,-3,-3,0,1,-2,0,0,1,-2,-3,-1,-2,0,0,2,1,0,0,-2,1,
0,0,1,-2,-3,-1,0,-2,0,3,0,0,0,0,0,1,0,0,0,0,0,0,1,0,
0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,-1,-2,1,-3,0,-2,-2,-1,2,4,2,2,
-5,-1,-4,-3,2,-3,2,0,1,2,0,-2,0,-3,2,1,-2,0,0,1,0,0,
-2,0,1,0,0,-1,-2,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,1,3,0,0,2,1,0,-1,-2,1,4,1,
2,1,-1,1,1,1,1,0,-1,2,-1,1,1,0,0,0,-3,1,-2,0,1,-2,1,
0,2,1,2,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,2,0,1,-2,1,-1,2,-3,-3,-3,-1,-1,-3,
-2,3,-2,1,3,1,0,0,0,-1,1,0,0,0,0,0,-1,0,2,-2,-1,0,0,
1,0,1,-2,-1,0,0,1,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,
0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,1,2,-4,0,2,3,2,-5,-4,0,2,-2,-1,2,2,-1,-1,0,
-3,5,0,-1,0,-2,1,2,1,0,-2,0,4,-3,2,0,1,2,0,-1,2,-1,-2,
0,-2,1,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,
0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,
0,0,1,2,1,0,2,0,0,2,2,1,-2,-2,3,2,-1,3,1,1,2,1,-2,0,
-2,-1,3,-1,1,-1,-1,1,0,-1,0,1,0,0,-1,-1,0,0,-1,0,0,1,
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,-1,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
1,1,-1,5,2,-1,2,2,0,4,1,0,3,3,-1,-3,-3,4,0,-2,-1,2,5,
1,3,-1,-1,0,2,0,-3,5,-3,0,1,-1,3,3,-3,1,0,0,-1,1,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-2,0,0,0,-2,
0,0,0,0,0,-2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,-1,
1,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,
0,0,1,-3,-1,0,2,1,-3,0,-3,-3,-2,-1,-3,6,1,1,-1,0,1,-2,
-1,-1,2,0,1,1,0,3,1,3,0,-1,1,-2,-1,-1,-2,-3,0,4,4,0,0,
0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-3,1,1,
4,-2,3,1,3,2,-3,-1,-1,4,0,1,3,0,2,3,0,0,-2,-3,3,0,4,
-1,-1,1,0,1,1,0,0,1,0,-3,-2,1,2,2,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,-1,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,2,-1,2,
2,-1,1,-1,3,-2,1,-2,-1,1,3,-1,2,-1,0,2,-1,-1,3,0,1,1,
0,0,2,1,0,0,1,1,-1,0,-1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,-2,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,-1,2,0,-2,0,1,-3,-1,-2,
0,2,0,-5,-1,-2,-4,1,0,0,3,2,-3,-3,0,-1,2,0,1,-2,0,3,
-3,3,0,-3,0,0,-1,2,-1,-4,0,0,2,0,0,0,0,1,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,-2,2,-1,-1,1,2,
4,1,0,0,-3,1,-1,4,1,-1,0,-1,-1,-2,0,0,0,0,0,-3,1,0,0,
0,-2,3,2,1,-1,-3,0,1,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,
0,0,0,1,0,0,0,-1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,1,2,0,-1,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,0,0,0,0,0,0,0,0,-2,2,0,-3,-1,0,-4,3,-1,0,1,1,-6,
-1,0,-3,2,0,0,0,0,-2,1,-1,-1,0,-1,0,-2,0,1,-3,4,0,-4,
0,0,0,-1,-2,-4,0,-1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,1,-1,1,1,0,-1,1,-1,1,-1,-2,-1,-3,1,0,
0,1,-1,1,-3,-2,0,-1,-2,0,0,1,-1,0,1,0,1,-2,0,0,-1,1,
-2,-2,-1,1,1,0,0,-1,0,0,-1,0,-1,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,1,0,0,0,0,0,0,1,-1,3,0,1,3,-2,-3,-2,0,-1,4,2,
1,-1,-2,0,-1,1,-1,1,0,1,0,1,0,0,0,0,-1,1,-1,0,1,-1,2,
0,1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,-3,2,-2,-1,-2,-2,3,3,1,-2,-1,-5,-3,-2,
-3,0,1,-2,-2,2,-1,-2,0,-1,0,-1,1,0,0,0,-3,1,0,-2,2,-2,
-1,-3,1,-1,0,4,1,0,0,-1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,-1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,-1,0,0,0,-1,-3,2,1,-1,-3,2,-2,0,-1,-3,0,1,-2,-3,-1,
0,2,0,2,1,2,-4,-5,1,-3,2,1,0,-1,0,1,-3,2,0,-1,-3,-2,
-2,2,-1,-2,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-2,1,-1,-1,-1,-1,2,3,0,0,0,0,-2,-1,1,
2,-1,1,-3,-1,0,-1,0,0,1,0,1,1,0,-1,1,0,0,0,0,-1,-1,-3,
0,1,0,2,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,-1,-3,1,0,5,-2,3,1,4,2,-4,-1,-1,2,-2,3,1,3,6,2,
-1,0,-1,-4,2,1,6,-1,-2,0,0,4,0,0,0,3,1,-5,-3,1,1,1,0,
1,2,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-2,0,-2,0,0,2,-1,-2,0,2,1,-1,0,1,-2,1,-4,-2,2,4,-1,
0,1,0,1,0,-1,1,-1,0,0,1,0,0,2,-1,1,0,1,1,-1,0,-3,-2,
0,0,0,0,1,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,-2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,
-1,-1,-1,1,-1,-1,3,2,1,-2,1,1,3,0,2,-3,-1,-1,0,-3,0,4,
1,-2,0,-1,-1,0,0,-4,1,1,0,-1,1,2,1,-1,0,0,0,-1,1,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,
0,0,0,0,0,-2,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,
-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,1,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
-2,-1,3,2,4,-1,0,-1,3,-1,-6,3,4,1,-2,-3,2,-7,2,1,0,0,
2,1,0,1,-2,2,0,3,2,-2,0,0,1,-1,0,1,2,1,0,-1,-2,0,0,
-1,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,-1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,-2,0,2,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,2,1,
-2,-2,1,-1,2,-3,-2,-1,4,3,2,3,2,4,2,-2,0,-1,-3,0,3,-1,
-1,-3,2,-1,0,0,1,0,0,0,0,2,1,1,0,-1,1,0,1,1,0,0,0,0,
-1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,1,3,0,3,2,0,
-3,-3,3,1,5,2,4,-3,-2,-3,-3,2,3,5,-1,2,2,2,-1,2,-1,1,
1,-2,0,-1,4,-2,0,0,-3,2,3,-1,1,2,0,-2,-2,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,-1,2,0,0,0,0,0,0,0,0,-1,-1,0,-1,0,
0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,-1,0,2,1,0,0,
-1,1,0,0,-2,0,-4,-4,1,-1,1,4,-2,2,5,-2,-2,0,0,2,1,0,
-1,0,1,-2,1,0,0,1,-3,-1,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,3,-3,1,1,-3,-1,
-1,0,-1,-4,-3,-2,1,-1,0,0,-5,0,3,-3,-4,-2,0,1,-1,0,1,0,
3,-6,1,0,-1,2,-4,-2,-1,2,1,0,0,-3,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,2,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,-2,3,0,4,3,-5,-3,
-1,4,1,2,-1,1,1,0,1,2,5,0,-3,-5,1,1,4,1,1,-2,0,4,-1,
0,0,2,-1,0,-3,4,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,
0,0,1,1,-1,0,0,0,0,0,0,0,0,1,-1,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,1,1,-1,-1,0,0,4,-1,-5,-2,-1,
0,-4,0,-3,0,0,-1,0,-2,2,1,-2,-6,0,1,3,-1,1,1,0,5,-3,0,
0,3,-2,-3,-2,2,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-2,0,
0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,3,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,1,0,0,0,0,-2,1,-2,2,-2,2,-1,-1,2,1,3,1,
-3,-3,-3,-1,3,0,4,5,2,-2,-3,2,1,3,2,3,-2,0,4,2,2,0,1,
0,-1,-3,3,0,-2,0,-1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,2,0,0,
0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
-1,0,0,0,0,0,0,0,0,2,-1,0,0,0,1,-1,-1,1,1,0,0,-1,-1,
-1,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,1,0,-1,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,-2,2,0,2,0,-1,0,-1,-4,-1,3,1,-3,1,-5,
-1,-2,0,-1,2,0,4,-1,-1,1,1,-1,0,-4,2,-3,0,2,-2,2,-1,0,
-1,1,0,-1,1,0,0,0,0,-2,0,0,0,0,0,0,-3,0,0,0,1,0,0,0,
0,0,-1,0,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,-2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,-1,1,3,-2,1,3,3,5,-7,-5,-1,6,2,6,3,3,4,-1,-3,
0,2,-4,-2,1,1,0,-1,1,-2,1,0,0,0,0,0,-1,-1,2,2,1,-2,-1,
0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,-2,0,0,0,0,0,
0,0,0,1,2,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,
0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,
0,1,2,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,
0,-1,0,0,0,0,0,0,1,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ] >;

return _LR;
