_LR := rec < recformat< F: GrpFP, AI: SeqEnum, G: GrpMat > |
      F := FreeGroup(2) >;
//Standard generators of L3(4) are a and b where a has order 2, b has
//order 4, ab has order 7 and abb has order 5.
//Standard generators of the quadruple cover 4b.L3(4) are preimages A and B
//where B has order 4, AB has order 7 and ABB has order 5.


_LR`AI := [[a,a*b^-1*a*b*a*b^-1*a*b*a*b*a*b^-1*a*b*a*b*a*b^-1*a*b*a*b^-1],
       //L34.2_1 = field x duality - order 2 - not same as in Online ATLAS.
            [ a, (b^-1*a)^3*(b*a)^3*b ],
       //L34.2_2 = field  - order 2 - not same as in Online ATLAS.
            [ a, b^-1]  ]
       //L34.2_3 = duality  - order 2
                  where a is (_LR`F).1 where b is (_LR`F).2;

//two constituents fixed by AI[2]. swapped by AI[1]
_LR`G :=
/*
Original group: c9Group("4bl34p")
Direct integral method
Schur index: 1
Character: ( 128, -128, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 0, 0, 2, 2,
0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0 )
*/

MatrixGroup<128,IntegerRing() |
Matrix(128,128,\[-3,0,1,2,0,0,2,0,0,0,0,0,-1,1,0,
0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,
0,0,-1,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,0,
0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,1,0,-2,0,0,-1,0,0,0,0,1,1,0,0,0,0,-1,-1,
0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
1,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,-1,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
1,-1,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-1,1,3,
0,0,1,-1,0,0,0,0,-2,1,0,0,0,2,1,1,0,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,1,0,0,-1,0,0,0,-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,
0,0,0,0,0,-1,0,0,0,0,-1,0,0,1,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,1,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,
-1,0,0,1,-1,1,0,0,0,0,0,1,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,-1,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,0,0,1,0,0,
0,-2,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,1,0,0,-1,0,0,0,-1,1,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,-1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,-1,1,0,1,0,0,1,0,0,0,0,0,
0,0,0,0,-1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,1,1,-1,1,0,-1,0,0,0,0,0,1,0,
-1,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,
-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,1,0,2,-1,0,-1,0,-1,-1,-1,0,0,0,-1,0,0,0,
1,0,0,1,-1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
1,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,-2,1,0,0,1,1,0,1,0,2,0,0,-1,2,-1,-1,-1,
0,1,0,-2,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,1,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,1,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,-1,-1,-1,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,
-2,0,-2,2,0,2,1,0,0,1,0,0,0,0,-1,0,-1,0,-1,0,0,
0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-2,-1,-1,-1,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,
0,-1,1,0,1,0,1,-1,1,0,1,0,0,-1,1,-1,1,2,0,1,-1,
-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,-1,-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,
0,0,0,-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,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,1,
0,0,0,0,1,0,-1,-1,1,0,0,-1,0,1,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,-1,-1,0,1,0,
0,0,0,1,1,0,0,-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,-1,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,-1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,1,0,1,-1,0,0,-1,1,0,0,0,0,0,
0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,1,0,0,0,-1,1,-1,-1,0,0,0,0,1,0,0,-1,
1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,1,-1,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,-1,0,0,-1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,
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,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-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,-1,
0,0,-1,0,0,1,1,1,0,0,1,-1,0,1,0,-1,0,0,-1,0,-1,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,-1,1,-1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,-1,0,1,1,-1,2,
0,0,0,0,0,-1,0,0,1,-1,0,1,-1,1,-1,2,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,-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,-1,0,0,0,
0,0,0,-1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,-1,0,-1,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,-1,1,0,-1,1,0,1,1,0,
0,0,0,1,0,-1,0,0,0,0,-3,0,0,0,0,0,0,0,1,1,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,1,0,-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,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,1,-1,0,-1,-1,0,0,1,0,-1,-2,
1,-1,0,1,-1,2,-3,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
-1,0,0,1,0,0,-1,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,
-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,-2,-2,1,0,0,0,1,1,2,1,0,-1,0,0,0,0,-1,
1,0,0,0,0,0,0,1,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,
0,-1,0,0,1,-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,-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,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,1,1,0,1,0,1,-1,-2,-2,-1,1,-1,2,1,0,-1,2,0,1,
3,-1,1,-1,0,0,1,1,0,0,1,0,0,0,-1,0,0,0,0,0,0,
1,0,0,-1,1,-1,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,
0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,
0,-1,1,0,0,-1,0,0,2,0,1,-1,-1,0,0,-1,0,-1,0,-1,
-1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,1,0,0,
0,0,0,-1,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,-2,0,1,-1,0,1,1,0,1,0,-1,-2,0,1,0,-2,1,0,0,
0,-1,1,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,
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,-1,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
-1,1,0,0,0,-1,-1,1,0,0,0,1,-1,0,0,1,2,0,-1,1,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,-1,1,0,0,1,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-2,-1,1,0,0,1,1,
1,2,0,0,0,1,-1,-1,-1,0,2,1,0,0,1,-1,0,0,0,0,1,
1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,-1,1,0,1,1,-1,2,0,2,
0,0,0,0,0,0,1,1,0,1,1,1,-1,1,0,0,0,0,0,0,0,0,
0,0,0,0,2,0,1,0,0,-1,0,0,0,0,-1,1,0,0,0,0,0,0,
0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,
-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,-1,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,1,0,-1,0,0,1,0,0,1,-1,0,
0,0,-1,0,0,-1,0,-1,1,-1,1,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,1,0,0,-1,0,1,0,0,0,1,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,1,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,-2,0,0,0,0,0,1,-2,0,-1,0,-2,
0,0,1,-2,-1,2,-1,2,-1,1,2,0,0,0,0,0,0,0,0,0,1,
0,0,0,-1,0,0,0,0,1,0,0,1,1,0,0,0,-1,0,0,0,1,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,1,-1,1,1,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,-1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,-3,0,-2,1,0,2,2,0,1,0,0,-1,0,1,
0,-2,0,0,-2,1,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,-1,0,0,1,0,1,2,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,
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,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,2,-1,-1,-2,1,0,0,-1,-2,0,-1,1,-2,0,
-1,0,-1,-3,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,
-1,0,-2,0,0,0,-1,1,0,0,0,1,-1,-1,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,1,0,0,
0,1,0,0,1,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,1,0,0,0,0,0,-1,0,0,-1,-1,1,1,0,1,0,-1,0,2,
1,-1,-1,-2,-1,0,-1,1,-1,0,0,0,-1,-1,0,0,0,0,-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,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,-1,0,0,-1,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,-1,0,0,0,1,0,1,1,-1,-1,-1,0,0,0,
0,1,-1,-2,3,0,1,-1,-1,2,0,0,0,0,0,0,0,0,0,1,0,
1,0,-1,0,0,1,0,0,-1,1,-1,1,0,0,0,0,0,0,0,1,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,-1,0,1,-1,1,-1,0,0,0,1,-1,1,0,0,
-2,1,2,-2,1,-2,2,-1,-1,0,0,0,0,0,0,0,0,0,-1,0,
-1,0,0,0,0,0,0,0,0,-1,1,-2,0,1,0,1,0,0,0,0,0,
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,
0,1,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,3,2,0,3,-1,-1,-1,-3,0,1,-2,0,-2,0,
-1,2,0,-1,1,1,2,-2,1,2,0,0,0,0,0,0,0,0,0,2,0,
1,0,1,0,0,0,-1,1,-2,0,0,0,-1,-2,0,-1,0,0,0,-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,-1,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-2,-1,2,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,1,-1,0,-2,0,1,0,-1,-1,0,-1,0,0,0,-1,
-1,0,0,0,-1,1,-2,0,1,0,0,0,0,0,0,0,0,0,1,0,-1,
0,-1,0,0,0,-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,-1,0,0,0,0,0,-1,1,0,0,0,0,
0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
1,0,1,0,-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,-1,0,1,0,0,1,1,1,0,2,0,0,-2,2,
1,-1,1,-1,2,0,-2,0,0,0,0,0,0,0,0,0,-1,0,-1,0,1,
0,0,-1,0,0,1,-1,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,1,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,
-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,-1,0,1,0,0,-1,-1,0,-1,0,0,0,-1,-1,0,
1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,-1,0,0,-1,
0,0,0,0,0,1,-1,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
-1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,2,2,0,-1,0,0,-2,-1,0,0,0,1,1,-1,-1,1,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,-1,0,0,1,1,0,2,
0,0,-1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,-1,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,1,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,
-1,0,-1,1,0,1,1,0,1,1,0,-1,1,1,0,0,1,-1,-1,0,
-1,1,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,-2,0,
0,1,0,1,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-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,-1,0,0,0,-2,1,1,1,-2,1,0,-1,1,-2,1,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,
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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,1,1,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,-1,-1,
1,-1,-1,-1,0,0,0,1,0,0,-1,0,1,-1,2,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-2,0,1,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,1,0,0,-1,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,1,-1,0,1,-1,-1,
0,-1,-1,0,3,-1,-3,-2,3,1,0,0,-1,3,-2,0,0,0,0,1,
1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,-1,0,-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,
0,0,0,1,0,0,0,0,1,-1,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,2,2,0,0,-1,-1,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,1,0,0,1,-1,1,1,
1,0,0,1,-1,0,1,2,-2,0,1,-4,2,-2,3,0,0,0,0,0,0,
0,0,0,1,0,-1,2,-1,1,0,1,0,0,0,0,1,0,2,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-2,0,0,0,1,0,2,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-2,-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,-1,
1,0,1,-1,0,-1,-1,0,-1,0,-1,0,0,0,0,0,0,0,1,0,0,
-1,1,-1,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,
0,0,-1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-3,-1,0,1,-1,1,2,2,0,0,-1,0,-1,0,
-1,-2,-2,2,-1,-1,-1,0,1,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,-1,0,0,0,0,0,
0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,1,0,-1,-1,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,0,-1,-2,1,-2,0,0,-1,0,0,2,-1,
-1,-2,1,1,-2,1,-2,2,-1,-1,0,0,0,0,0,0,0,0,0,0,0,
-2,0,0,0,0,2,0,0,0,0,-1,-2,0,1,0,1,0,0,0,0,0,0,
0,-1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,-1,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
2,1,0,0,-1,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,1,0,0,0,-2,0,-1,1,0,0,0,-1,0,-1,-1,0,
-2,4,-2,-2,0,-2,2,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,
2,0,0,0,0,0,0,0,1,0,0,1,0,-1,0,0,0,0,0,0,0,-1,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
1,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,2,1,0,1,0,0,0,0,-1,1,1,1,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,2,0,0,1,-1,0,0,-1,0,0,0,-1,0,0,
0,1,3,0,0,-1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,-2,-1,
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,2,0,-1,1,-1,0,0,0,0,-2,0,0,2,-2,0,1,-1,1,-2,
2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,
0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,-1,-1,0,0,0,1,0,1,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-2,-1,1,1,1,1,0,0,0,0,
-1,0,1,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,-2,-1,1,1,
0,1,0,0,0,-1,0,0,0,1,1,-1,0,1,0,-1,1,0,0,0,0,0,
0,0,0,0,0,1,0,-1,0,0,0,0,-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,-1,0,-1,0,1,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,-1,1,1,0,0,0,
-1,0,1,0,0,-1,-1,1,2,2,0,0,0,1,0,0,0,0,0,0,0,0,
0,1,0,-1,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,
0,0,0,-1,0,0,0,-1,-1,1,2,1,-1,1,-2,0,0,0,0,-1,
0,-1,1,1,0,2,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,
1,0,0,0,0,-1,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,
0,0,1,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,
0,0,1,-1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,-1,-2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,-2,0,0,1,1,0,2,0,0,1,-1,0,-1,0,0,
0,-1,-1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,
0,0,0,-1,0,0,-1,0,1,1,0,-1,0,-1,0,0,0,0,0,0,0,
1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,
-1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,-1,0,0,1,0,0,0,1,0,-1,-1,0,0,0,0,0,0,0,0,
0,1,0,0,0,-2,-1,1,0,1,1,1,0,1,0,1,-1,1,0,0,-1,
1,2,-1,-2,0,0,0,0,0,0,0,1,1,0,1,1,0,-1,0,0,0,
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,-1,0,
-1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,-2,-1,1,-3,2,1,1,1,2,-1,1,1,1,-1,0,-1,0,
2,0,-5,2,-1,2,0,0,0,0,1,1,0,0,1,0,0,-1,1,0,0,
0,1,0,0,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,-1,0,0,0,1,0,
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
-1,1,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,1,1,0,-1,0,0,-1,0,1,0,0,1,-1,0,1,1,0,
1,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,2,1,-1,0,1,-1,-1,-1,-1,0,-1,0,1,0,-1,1,1,-2,
2,1,1,1,-2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,
0,0,0,-1,0,0,-1,0,-1,0,1,0,0,0,0,0,0,0,1,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,
1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,-1,0,0,
1,2,0,-1,0,-1,-2,0,2,0,1,1,-2,0,1,2,1,0,-2,-1,0,
0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,1,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,-1,-1,0,-2,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,0,1,-1,
0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,
2,0,1,1,0,-1,-1,0,0,0,0,1,0,0,0,1,-2,0,2,-1,1,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,-2,
1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-2,0,-1,3,
0,0,1,0,-1,1,0,0,-1,2,-1,0,0,1,0,0,-1,2,1,-1,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,-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,
0,0,0,1,0,0,-1,0,1,0,0,-1,0,0,1,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-2,0,1,0,0,0,
0,-1,0,-1,0,-2,0,0,0,-1,0,0,-1,1,-1,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,-1,1,-1,0,2,1,-1,0,1,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,-1,0,0,0,1,2,
-1,0,1,0,-1,3,0,0,-1,0,0,1,3,-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,-1,0,0,0,0,
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,-1,0,1,0,0,1,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,1,-1,0,1,2,-1,1,0,-2,0,0,1,
-1,1,1,-1,-1,3,3,-1,2,-1,2,0,-1,0,0,0,0,0,0,0,
0,0,-1,0,0,0,1,0,0,-1,0,0,1,-1,0,-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,
1,0,0,0,0,-2,0,-1,-1,0,0,-1,2,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,
0,0,0,0,0,0,-1,0,0,0,-1,1,0,1,0,-1,2,0,0,-1,-1,
0,-1,-1,-1,1,-1,-1,2,-1,1,-1,1,1,0,0,0,0,0,0,0,
0,0,1,0,1,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
-1,0,0,0,2,-1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,3,1,-3,-2,1,-1,0,0,0,0,0,2,
1,-1,0,1,-2,-2,0,-1,-1,-1,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,1,0,0,-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,-1,-1,0,0,-1,-1,
0,0,-1,1,0,1,1,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,-1,0,1,1,0,0,0,0,-1,0,0,0,
-1,1,0,0,0,-1,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,2,0,1,-1,0,-1,0,-1,-1,-1,1,0,0,0,0,-1,0,2,
-1,1,0,-1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,
0,0,-2,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,1,-1,0,0,-1,0,0,0,0,0,0,1,-1,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,-1,
2,3,1,0,1,0,1,0,0,-1,-1,2,0,0,1,-1,0,3,-1,2,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,1,0,-1,2,1,0,0,1,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-3,-3,
0,0,0,1,0,0,1,1,0,-1,2,0,-2,-1,1,1,1,-2,-2,0,0,
0,0,-1,-1,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,-2,-1,1,-1,-1,0,1,-1,1,0,-1,0,-1,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-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,-2,0,1,0,
1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,1,0,0,-1,0,0,0,0,0,1,0,
-1,0,-1,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,-1,0,-1,0,0,0,-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,-2,0,1,
-1,1,3,0,2,0,1,-1,1,-1,1,2,-3,-1,-1,1,1,-2,0,0,
0,0,0,0,0,0,0,-1,0,-1,0,1,0,0,0,0,0,1,-1,0,-1,
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,-1,1,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,1,-1,-1,-1,-1,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,-2,0,
0,-1,-1,-1,-1,0,-1,-1,0,1,-1,1,2,-1,2,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,
1,-1,0,0,-1,0,-1,0,2,-1,1,0,1,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,-1,0,0,1,1,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,-2,-1,-1,0,-1,
0,-2,0,-1,1,0,-2,0,1,-3,0,1,-2,1,-3,0,2,0,0,0,0,
0,0,0,0,0,1,0,-1,0,0,0,0,1,0,0,-1,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,1,
-1,-1,-1,0,-1,1,0,2,0,1,0,0,0,1,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-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,-1,1,-2,0,0,0,0,0,
0,1,0,0,0,-1,0,1,2,-1,-2,0,0,0,-1,0,0,0,1,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,1,1,0,1,0,-1,-1,0,0,0,-1,0,1,1,0,0,
0,0,0,0,0,0,0,-1,1,0,0,0,1,0,0,0,0,-1,0,1,0,0,
-1,2,-1,-1,0,2,1,0,-3,2,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,-1,
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,-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,-1,1,0,2,-1,-1,0,0,0,-1,-2,0,
0,-1,-1,0,-1,0,2,-2,2,0,1,2,0,0,0,0,0,0,0,0,0,
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,-1,0,
0,0,2,-1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,1,0,1,0,0,0,0,0,-1,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,-1,1,0,0,-2,0,-1,1,1,-1,0,0,2,-1,-1,-2,0,2,
-1,-2,-1,1,1,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,
0,1,0,0,1,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,-1,1,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,
0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,-1,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
1,-1,0,-2,0,1,0,0,1,0,1,0,1,0,1,0,1,0,-1,1,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,
0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,-1,0,-1,0,-1,0,
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,-3,0,0,0,0,1,-1,1,0,1,1,1,0,1,1,-1,-2,1,-1,
2,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,2,
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,-1,1,0,0,0,0,-1,0,-1,
-1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,
-1,-1,-1,-2,-1,0,-1,0,1,0,-1,0,1,0,0,1,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,-1,0,
-1,0,0,0,-1,-1,2,-1,-1,-1,1,1,0,-1,1,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
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,-1,0,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,-1,1,-1,0,1,
2,-2,0,0,0,-2,0,0,0,-2,-1,-2,-1,-1,-2,1,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,-2,0,0,0,0,0,0,0,0,1,0,1,
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,-1,0,0,0,0,1,0,1,0,0,1,1,-1,2,0,-1,-1,-1,
0,0,-1,0,0,0,0,0,0,0,1,0,1,0,-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,-1,0,0,-1,
2,-1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,-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,-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,-2,0,-1,1,0,0,1,-3,1,1,-1,-2,
1,0,0,1,-1,-2,0,1,-1,1,-1,0,0,0,0,0,0,0,0,0,-1,
0,0,0,-2,0,0,-1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,-1,1,0,0,0,0,-1,0,1,0,-1,-1,0,0,0,-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,-2,0,0,-1,0,0,1,-2,0,0,0,-3,1,
0,0,0,1,-2,-1,1,-1,2,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-2,0,0,-1,0,0,2,-1,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,1,0,0,1,-1,-2,-1,-1,0,0,-1,1,0,0,0,
0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,-1,0,0,-1,2,-1,0,0,1,0,
0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,2,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,1,-1,-1,-1,1,0,0,1,-1,0,1,1,1,
-2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-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,-1,0,0,1,0,-1,-1,
-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
-1,0,0,0,-2,-1,0,-1,0,1,1,0,1,0,-1,1,1,1,-1,-1,
0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,-1,1,0,
-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
-1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,-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,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,
1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,-1,0,-2,-1,0,0,-2,1,0,0,0,-1,-1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,-1,-1,
-1,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,1,
0,-1,0,0,1,0,1,0,-1,-1,1,2,0,1,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,-1,0,-1,-1,-1,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,-1,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,-1,-1,1,1,1,0,
0,0,0,0,0,0,0,0,1,0,0,-1,1,0,1,0,0,1,0,0,0,0,
0,0,0,0,0,-1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,-1,0,1,1,0,0,0,0,0,0,0,0,-1,0,0,
0,-1,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,1,0,-1,1,-1,0,-1,0,-1,
0,0,-1,1,1,1,0,0,-1,0,3,0,0,-1,0,0,0,0,-1,-1,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,1,1,0,0,0,-1,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,1,0,-1,0,0,-1,0,0,0,0,
0,0,-2,1,1,2,-1,-1,0,0,1,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-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,-1,0,-1,0,-1,-1,2,-2,1,1,1,0,0,1,
-1,0,1,2,-1,-4,1,-2,1,-2,2,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,1,-1,2,0,0,0,-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,
0,0,1,0,1,1,1,0,0,-1,0,0,0,0,0,0,-1,0,0,0,-1,
0,1,1,-1,0,-1,0,0,-1,0,0,1,-2,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,-1,0,0,1,0,3,-2,0,-1,-1,0,0,-1,0,
-1,0,1,1,-1,-1,1,2,0,0,-1,2,0,0,0,-1,-1,0,0,0,
0,1,0,0,0,0,0,0,1,0,0,-1,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,-1,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-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,-2,0,0,0,1,-1,3,1,0,0,1,0,-2,1,1,
1,-1,0,0,-1,0,-2,2,-1,0,0,0,0,0,0,0,0,0,-1,0,1,
0,1,0,0,-2,0,0,1,0,0,2,0,0,0,-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,
1,1,0,1,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,2,0,-1,-2,1,0,0,0,-1,0,0,0,0,0,0,0,0,
0,-1,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,
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,-1,1,0,2,-1,0,-1,0,1,0,0,0,1,0,0,0,1,-1,1,
1,0,2,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,
0,0,-1,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,1,-1,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,2,0,-1,0,0,0,-2,0,1,1,-2,1,0,-1,0,-2,
2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,
0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,-1,-1,0,0,0,1,0,2,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,
-1,-1,0,-2,1,2,0,0,0,3,-1,0,0,1,-2,0,0,0,1,-2,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,-1,1,
-1,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,-1,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,
0,1,0,2,1,1,1,0,0,2,0,1,0,0,-1,0,0,1,-1,0,0,0,
0,0,0,0,0,0,-1,0,1,0,0,0,0,-1,0,0,2,0,0,1,0,0,
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,-1,0,0,0,-1,0,-1,0,1,0,-1,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,-1,-2,0,2,
0,0,1,0,0,1,1,1,1,-1,0,0,1,1,-1,0,0,0,0,0,0,0,
0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,
0,0,0,0,-1,1,0,-1,-1,0,-2,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-4,0,1,1,0,1,2,1,1,0,1,0,
1,-1,-1,-2,0,1,1,0,-1,2,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,-1,-1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,
0,-1,-1,1,1,-2,-1,-1,-1,0,0,-1,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,0,-1,-1,-2,-1,0,
0,-1,1,0,0,0,-1,0,2,-1,1,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,1,0,0,-2,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-2,0,0,1,-1,2,1,0,0,1,-1,-2,0,
0,1,-2,3,-2,-2,0,-1,3,-1,0,0,0,0,0,0,0,0,0,-1,
0,1,0,1,0,0,-2,0,0,1,-1,1,1,0,1,-1,-1,0,0,0,0,
0,-1,0,-1,1,0,1,0,0,0,1,0,0,-1,0,0,0,0,0,0,-1,
0,0,0,0,0,2,1,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,-1,-1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,-1,0,0,0,0,0,0,
0,0,0,0,1,1,-2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,-1,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,-3,0,-1,1,0,2,0,-2,1,0,-1,-3,0,0,1,
-2,1,0,-1,1,-3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,-2,0,0,1,-1,1,2,0,0,0,-1,0,0,1,0,0,-1,0,
0,0,0,1,0,0,0,0,0,0,-2,0,0,0,0,0,-1,0,0,0,0,0,
0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
-1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,1,1,-1,1,0,0,-1,0,0,0,0,0,1,0,-1,
0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,1,-1,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,1,
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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
-1,-1,0,1,1,0,-1,0,0,1,1,-1,-1,0,0,0,0,0,0,1,0,
1,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,
0,-1,1,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-2,0,0,1,
1,-1,1,1,0,1,0,0,-2,0,0,1,-1,-2,0,0,-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,
1,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,1,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,1,
-1,0,0,0,-1,0,0,1,0,0,1,0,-2,1,-2,1,-1,0,0,0,0,
0,0,0,0,0,0,0,1,0,1,0,-2,0,0,1,0,0,0,1,-1,1,0,
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,-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,-1,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,1,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-2,0,0,0,1,0,0,1,1,0,1,0,0,0,
1,0,0,-1,1,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,-2,-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,-1,0,-1,0,-1,1,0,1,0,0,1,0,0,0,
0,0,0,0,-1,1,0,1,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-2,2,0,1,0,0,-1,0,2,0,1,1,0,0,1,-1,2,
-1,1,1,0,1,-2,-1,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,-1,
-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,
-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,-2,1,0,-1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,
0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,1,-1,1,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-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,-2,0,
1,0,1,0,2,0,0,0,1,-1,1,-1,-3,0,1,2,1,-1,0,0,2,
0,0,0,0,1,1,0,0,0,0,1,-1,1,1,1,1,0,-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,-1,0,0,0,0,0,0,-1,0,0,0,2,-1,2,0,0,0,1,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,-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,-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,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,-1,-1,0,
3,0,0,2,-1,0,1,1,0,1,0,0,1,0,1,-1,0,0,0,0,0,0,
0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,-1,0,-1,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,-3,-1,0,3,-1,0,1,0,0,0,
1,0,1,0,-1,-1,1,-1,2,0,-1,2,-1,-1,0,0,0,0,0,0,
0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,-1,-1,0,1,0,1,0,0,0,0,0,0,0,-1,0,
0,0,-1,0,0,0,1,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,1,1,0,0,0,0,0,0,
-1,-1,0,0,0,0,-1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,
-1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
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,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0]),Matrix(128,128,\[-1,0,0,1,-1,0,
-2,0,-1,-1,0,-1,0,1,0,0,1,0,1,1,1,0,1,0,1,1,0,
-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,1,-1,-1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,
1,0,1,0,-1,1,0,-2,1,1,0,0,-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,
0,1,0,0,-1,1,0,0,0,1,0,0,0,-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,-1,
0,1,0,-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,-1,0,0,1,-1,0,0,0,0,0,0,
-1,1,0,0,0,-1,1,1,1,0,0,0,0,1,1,0,-1,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,-1,0,-1,0,-1,0,-1,0,0,-1,1,-1,
0,0,0,0,1,0,0,1,1,0,1,-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,-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,-1,0,1,0,0,1,0,-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,-1,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,
0,0,0,0,0,1,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,-1,1,0,
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,
0,0,0,1,0,0,-2,0,0,1,0,1,0,0,-1,2,-1,-1,0,0,0,
0,0,-1,1,0,-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,-1,0,0,0,0,0,-1,0,0,0,0,
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,-1,1,1,1,1,1,0,1,0,0,-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,-1,0,0,0,-1,0,0,0,1,0,0,-1,1,0,0,0,-1,1,2,1,
1,0,1,0,1,1,0,-1,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,-1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
-2,1,-1,0,-1,0,-1,-1,1,0,-2,1,2,0,1,-1,0,1,2,-2,
1,0,-1,1,1,0,-1,1,0,0,0,-1,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,
1,-1,-1,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,
0,-1,1,0,1,-1,0,-1,-1,0,-1,2,1,0,0,0,0,2,0,0,0,
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,1,-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,-1,-1,
0,0,0,1,1,0,1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,1,
0,-2,1,1,1,0,1,0,-1,1,0,1,-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,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,-1,
-1,0,-1,0,-1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,1,0,
0,1,0,1,-1,-1,0,0,0,1,-1,0,1,0,-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,-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,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,-1,-1,0,
0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,-1,-1,2,0,1,1,0,0,-1,-1,
0,0,1,-1,0,-1,1,0,0,-1,-1,1,0,0,0,0,0,0,0,1,0,
0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-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,-1,0,0,0,-1,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,1,0,-1,0,2,0,0,1,0,0,0,0,0,0,1,
-1,-1,-1,0,2,-1,-1,-1,1,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,
-1,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,-1,0,0,0,1,0,0,0,1,0,0,1,-1,0,
2,0,0,-1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,-1,1,1,2,0,0,0,-1,-1,0,0,
0,-1,-1,0,0,-1,-1,0,0,-1,1,0,-1,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-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,
0,0,0,0,0,0,1,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,-1,1,0,0,-1,-1,0,0,0,-1,
-1,0,-1,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,1,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,-1,-1,-1,0,0,0,0,0,2,0,0,1,-2,0,1,0,0,-1,0,0,
1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,
0,-1,0,0,-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,-1,0,0,1,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,1,-1,1,-1,0,-1,0,0,0,0,-1,1,-1,-1,2,1,0,1,
-1,1,1,-1,0,1,-1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,
-1,0,1,0,0,0,-1,-1,0,0,0,0,0,-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,-1,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,
1,-1,1,-2,0,-1,0,0,0,0,-1,1,0,0,0,-2,2,1,1,1,0,
0,1,0,1,1,-1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,-1,
0,1,-1,0,0,-1,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,-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,-1,-1,1,
0,1,0,1,0,-1,0,1,1,-1,-1,0,0,1,-1,0,-2,-1,-1,1,
-1,-1,-1,0,0,0,1,0,0,0,0,0,1,0,-1,0,0,-1,0,0,1,
0,0,2,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,-1,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,-1,0,2,-1,
1,0,1,0,-1,-1,1,0,2,-1,-2,0,1,-1,1,-1,-1,1,0,-2,
0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,-1,
2,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,
-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,-1,1,
1,0,0,-1,-1,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,
-1,0,-1,-1,-1,0,0,1,-1,0,0,1,2,0,0,0,0,0,1,0,-1,
-1,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,1,1,0,0,-1,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,-2,0,1,0,0,0,0,0,0,-1,
0,-2,1,0,0,-1,1,0,0,0,0,1,1,1,0,-1,-1,-1,0,0,0,
0,1,0,0,0,-1,0,0,-1,0,0,1,-2,1,0,0,0,-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,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,0,0,0,1,1,-1,0,-1,-1,1,-1,1,
1,-1,-1,1,0,0,0,-1,0,2,0,0,0,0,0,1,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,-1,0,0,1,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,1,0,-1,0,
0,0,0,0,0,0,1,0,-1,0,0,1,0,0,0,0,0,1,0,0,-1,0,
0,0,0,0,0,-1,-1,-2,1,-1,-1,1,1,-1,1,1,0,-1,0,1,
1,1,-2,-1,-1,0,-1,1,0,-1,0,1,0,0,0,0,0,0,0,0,0,
0,-2,0,0,-1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,1,0,-1,-1,-1,0,-1,0,0,1,-1,0,1,1,0,
0,0,0,0,0,0,0,1,0,1,-1,0,-1,0,0,0,0,0,0,1,0,0,
0,0,0,0,-2,0,0,-1,2,-1,-3,0,2,-2,0,0,0,1,-1,1,
2,0,0,0,1,1,-2,-2,2,1,-1,1,0,-1,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,-1,-1,0,0,1,1,0,0,0,0,0,1,0,0,
0,0,-1,0,0,0,-2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,-1,1,0,0,-1,1,1,2,0,0,0,-1,0,0,1,0,0,
0,-1,-1,0,0,0,-1,1,-1,-1,1,0,0,2,-1,0,-1,1,3,1,
0,-2,0,1,0,-2,0,1,0,0,0,-1,-1,0,0,0,0,0,0,-1,0,
0,0,0,-1,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,
0,0,2,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,1,0,0,0,0,-1,0,-1,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,-1,0,-1,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,-1,-2,1,-1,-1,1,0,-1,0,2,0,-1,0,1,1,0,
0,-1,-1,0,-1,1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,-1,
0,0,-1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,1,0,-1,-1,-1,1,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,-1,-1,-1,2,-1,0,0,1,0,2,1,-1,-1,0,1,1,
-1,0,0,0,1,0,-2,-1,0,1,1,1,0,0,0,0,0,0,1,0,-1,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,-2,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,
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,-1,0,1,1,0,0,0,0,0,0,1,0,0,0,
0,0,0,-1,0,-2,1,-1,0,2,0,-3,-2,1,0,-1,1,1,0,0,
-1,0,1,0,-2,1,-1,-1,0,2,-1,0,1,0,0,0,-1,0,1,0,
-1,0,0,0,0,0,0,1,0,1,0,0,1,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,1,0,0,0,-1,-1,-1,-1,0,-1,0,1,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,
0,0,-1,0,0,-1,0,3,0,1,1,-1,1,-1,-1,-1,1,2,-1,0,
-1,2,-2,-1,-1,-1,2,0,0,0,-1,-1,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,-1,1,0,1,0,0,0,-1,0,0,-1,0,0,
1,-2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
-2,0,0,0,0,0,0,0,0,0,1,1,0,0,-1,0,0,0,-2,-2,0,
1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,1,-1,1,2,
1,0,1,0,0,0,1,-1,-1,0,0,3,-2,0,-1,0,0,1,-1,0,
-1,0,1,0,-1,1,0,0,0,-1,3,1,0,0,-1,-1,-1,0,0,0,
0,1,0,-1,0,1,0,0,-1,0,0,1,-1,1,0,0,0,0,-1,1,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
-1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,
1,0,0,1,0,0,0,0,-1,1,0,1,-1,-1,0,1,-1,-2,-1,1,
-1,0,1,0,0,-1,3,0,0,0,-2,0,-1,0,0,1,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,-1,0,1,
0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,1,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,1,0,1,0,
1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,0,
-1,-1,0,-1,0,0,0,0,0,-2,0,1,0,-1,0,0,1,-1,1,2,
0,1,-1,1,0,0,0,0,-1,0,-2,-1,-2,-1,0,1,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,-1,0,
1,0,0,-1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,-1,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,-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,
0,0,0,0,0,0,0,1,0,1,0,3,1,-1,1,0,-1,-1,0,-1,-1,
1,0,-2,-1,-2,4,-1,-1,-1,0,-1,0,0,-1,-1,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,-1,1,-1,0,0,-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,
-1,0,0,0,1,0,0,0,0,0,-1,0,0,-1,-1,0,1,1,-1,1,0,
0,-1,1,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
-1,1,-1,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,-1,
1,0,-1,2,-1,-2,0,0,-1,0,-1,-1,1,-1,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,1,0,0,-1,1,-1,0,0,0,-1,
0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,
0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,
0,0,0,-1,0,-1,0,0,0,1,0,1,2,1,3,-1,0,1,-1,-1,-3,
-2,-1,-1,2,2,0,-1,0,3,0,0,0,0,-2,1,1,0,0,0,0,0,
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,-1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,-1,2,0,
1,-2,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,-1,0,-1,0,0,0,0,0,-1,0,-4,0,0,-1,0,0,
1,0,1,0,-2,1,1,1,2,-3,0,1,1,-1,1,0,0,1,1,0,0,
0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,1,0,-1,-1,0,0,1,
1,0,0,0,0,0,1,1,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,
0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,-1,-1,-1,1,
-1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,-1,1,0,0,2,1,0,1,0,0,0,
1,-2,0,0,0,0,-1,-1,2,-2,1,-2,2,0,1,0,-1,-2,1,0,
-1,0,0,0,1,0,-2,0,1,0,0,-1,0,0,-1,0,1,0,0,0,0,
-1,1,0,0,0,0,1,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,
0,0,-2,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,2,1,0,1,0,0,0,0,-1,0,0,1,1,-1,1,0,-1,
-1,1,0,0,-1,0,1,-1,-1,3,0,-1,0,-2,0,1,-1,0,0,0,
0,1,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,
-1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,
1,0,0,-1,1,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,1,0,-2,0,-2,1,0,1,-3,
1,2,2,0,1,-1,-2,1,0,0,-3,1,-2,1,0,1,0,-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,-1,0,0,0,0,2,0,0,0,-1,-1,-1,0,-1,1,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,
-2,0,-1,1,-2,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,-2,1,-1,2,0,1,-1,
0,-2,-1,2,-2,2,-1,0,1,-1,-1,0,1,2,1,0,1,-2,0,0,
1,-1,0,0,0,1,0,0,0,-1,0,0,-1,0,1,1,-1,0,1,-1,0,
-1,0,0,0,-1,0,0,1,-1,0,0,0,-2,0,0,0,0,0,0,-2,0,
0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,-1,-1,0,0,
0,0,-1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,1,0,2,-1,0,1,
-1,-1,0,1,-1,0,1,0,1,-1,-1,2,1,1,2,1,-2,1,0,0,
0,0,0,0,0,0,0,0,0,-1,0,2,0,0,0,0,1,-1,0,1,-1,
-1,-1,0,0,0,0,1,1,0,-1,1,0,-1,0,0,0,0,0,-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,
1,0,0,2,0,0,-1,2,0,-2,-2,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-2,0,0,
0,0,1,0,2,1,0,0,-2,-1,1,0,-4,0,-2,-2,-2,0,-2,-1,
0,0,0,0,0,0,0,0,-1,0,1,0,-1,0,0,0,0,0,1,1,-1,
1,0,0,1,0,-1,-1,1,0,0,-1,1,0,0,0,1,-1,-1,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,
0,0,0,0,-2,0,-1,1,-2,-1,2,1,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,
0,0,1,0,-1,1,1,-1,-1,0,-1,1,-1,-2,-1,-1,-2,-2,-1,
-1,0,0,0,0,0,0,0,0,0,-1,0,1,0,-2,0,0,0,0,0,1,
0,0,1,0,0,1,0,-1,-1,1,0,1,-1,0,0,0,0,1,0,-1,0,
0,1,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,1,0,-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,-2,-2,-1,
0,1,1,1,0,3,3,0,1,-2,-2,0,0,-2,-1,-1,-2,-2,-1,0,
-1,0,0,-1,1,0,0,0,0,0,-1,0,1,0,-2,0,0,-1,0,0,2,
-1,0,0,0,0,1,0,0,-1,1,0,1,0,1,0,0,0,0,-1,-1,0,
-2,1,0,-1,0,0,0,0,0,-1,0,0,0,2,0,0,0,0,0,0,0,
0,0,0,0,1,0,1,-1,0,-1,1,0,-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,
0,1,0,1,1,-1,-1,0,-1,-2,2,-3,1,2,-2,1,2,1,1,1,
0,2,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,-1,1,-1,0,0,0,-1,2,1,-1,0,0,2,0,0,0,0,-1,0,0,
0,-2,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,-1,-1,0,0,0,0,1,0,1,-1,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,
0,2,-1,0,0,-2,0,-2,1,0,-2,3,0,-1,0,1,0,3,0,2,0,
-1,1,1,1,0,-1,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,
1,0,1,0,-1,0,0,0,0,1,0,0,-1,0,1,-1,0,1,0,0,0,1,
0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,-1,
2,1,0,0,-1,1,0,0,-1,0,0,1,-1,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-2,
0,1,-1,0,0,3,1,0,1,0,-1,0,1,0,-2,-1,0,-2,1,-1,
-1,0,0,0,1,1,-1,0,0,0,0,0,0,0,-1,0,0,1,0,-1,0,
0,-1,-1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,1,-1,0,-1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,-1,1,0,1,
0,0,0,-1,-3,-1,1,0,-1,2,3,0,1,-1,1,2,0,-1,0,1,
-1,0,2,-1,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,
0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,-1,
-1,-1,-1,0,1,0,1,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,1,0,-2,-3,
0,1,0,1,-1,2,0,0,1,-4,1,3,0,-1,0,1,2,1,-2,1,2,
0,1,2,-1,0,1,0,0,0,0,0,1,0,-2,0,0,-1,0,0,1,-2,
1,-1,0,0,0,0,1,0,0,0,1,1,1,0,0,-1,-1,0,0,0,-2,
0,1,-1,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,1,0,0,0,
-1,-1,0,-1,1,0,0,0,1,2,-1,-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,-1,1,-2,-1,
-1,0,0,-1,2,0,0,2,2,1,-2,-1,3,1,0,-2,1,1,-1,-1,
0,-1,-1,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,
1,0,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,
-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,
0,0,-1,0,-1,1,0,0,0,1,1,0,-1,-1,0,0,0,0,0,0,-1,
0,-1,0,0,-1,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,1,2,
0,0,2,-1,0,0,-2,-2,0,-1,0,-2,1,1,1,0,0,-1,2,-1,
-1,1,1,-1,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,-1,0,0,1,0,0,0,0,0,0,1,-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,-1,0,0,0,0,1,0,1,-1,0,0,0,0,-1,-2,1,0,1,1,
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,
0,2,1,-1,1,1,0,-1,0,0,-2,2,0,-1,-1,-2,3,1,1,-1,
2,0,0,1,1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
1,0,0,0,0,0,-1,0,1,0,0,1,0,-1,0,0,0,0,0,-1,0,0,
-1,1,1,0,0,0,1,0,0,-1,1,0,-1,-2,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
-2,1,-1,0,-1,-1,0,0,1,-1,-1,0,1,0,1,0,0,0,2,-2,
2,1,0,2,1,0,-1,1,0,0,0,-1,0,0,0,-2,0,0,0,-1,0,
0,0,0,0,0,-1,0,0,1,0,-1,-1,0,1,0,1,1,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,
0,2,-2,0,-1,-1,0,0,-1,0,-2,1,3,0,-1,1,1,1,1,-2,
2,2,0,1,0,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,-1,0,0,1,-1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,-2,
0,0,1,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,-1,
-1,0,0,0,0,1,0,1,-1,0,0,0,0,-1,-1,1,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,
-1,1,1,0,0,-2,0,-2,2,0,-2,-1,0,3,-1,1,1,2,2,-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,-1,0,-1,0,-1,0,0,0,-1,0,0,0,-1,0,0,-1,1,0,
0,-1,0,1,0,0,1,0,0,-1,0,-1,0,0,0,0,0,-1,0,0,-1,
0,1,0,1,0,0,0,1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,-1,1,2,0,-1,
-2,0,0,0,-1,-1,0,-1,2,0,0,0,-1,3,0,0,2,0,1,0,-1,
0,0,0,0,0,0,0,0,0,0,-1,0,3,0,0,0,0,0,-1,1,0,0,
0,0,-1,-1,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,
1,-1,0,1,0,0,0,0,-1,0,-1,0,0,0,0,0,-1,0,0,-1,0,
1,0,1,0,1,0,1,-1,-1,0,1,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,-1,-1,-3,2,
-1,-1,0,0,1,0,1,0,-3,0,0,1,1,0,-1,0,0,-1,3,-2,
0,1,0,0,-1,0,0,0,0,0,0,0,0,-2,0,0,-1,-1,0,1,-1,
0,0,-1,0,0,0,1,0,-1,-1,0,1,0,0,2,0,-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,-1,0,0,-2,0,0,1,-1,0,1,1,0,0,0,0,0,0,-1,0,
0,0,0,0,0,1,0,0,0,0,0,0,1,0,-1,0,-1,0,0,0,1,0,
0,-1,0,0,-1,-1,-1,1,0,1,0,-1,0,0,1,3,-1,3,-1,1,
0,0,1,1,-1,-1,1,0,0,0,-1,0,1,0,0,0,0,0,-1,1,0,
1,0,1,-1,-1,-1,0,1,0,-1,-1,0,0,1,1,0,0,-1,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,-1,1,1,0,0,-2,-1,0,0,1,1,0,1,-1,0,0,0,0,0,0,
0,0,-1,0,0,1,0,1,0,0,0,1,0,0,0,0,-1,0,-1,1,0,
0,0,0,-2,0,0,1,0,2,0,1,-1,2,-1,-1,-1,0,1,0,0,0,
0,-1,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,1,0,0,-2,1,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
-1,0,0,1,1,1,0,1,0,0,0,0,-1,-1,1,1,-1,-1,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,
0,2,-3,1,0,1,0,2,-1,-1,1,1,-1,-2,0,1,0,-2,-2,0,
1,-1,-2,0,-2,-2,2,1,-1,0,0,0,1,0,0,0,1,0,0,0,0,
0,0,0,-1,1,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,-1,0,1,1,-1,0,0,0,-1,-1,0,0,0,0,0,0,
-1,0,0,-1,0,1,1,1,0,0,0,0,0,-1,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,
-1,3,0,-1,-1,-1,1,1,0,0,0,0,-2,2,-1,-2,-1,-2,3,
0,0,-1,1,-1,1,0,0,0,-1,0,0,0,0,0,1,0,-1,0,2,0,
0,0,0,0,-1,-1,1,-1,0,0,-2,0,0,0,0,0,0,-2,0,0,0,
0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,1,1,1,1,1,0,1,-1,0,0,0,-1,-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,
0,0,0,0,2,0,0,0,-1,-2,1,2,0,-1,-1,2,0,-1,0,0,0,
0,0,1,2,-1,0,1,1,-1,1,0,-1,0,0,0,0,0,0,0,2,0,
0,1,0,0,-2,1,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,1,0,0,-1,0,0,-1,0,-1,0,0,
0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,
0,-1,0,-1,-1,0,2,-2,0,-2,0,0,0,-1,0,-4,1,1,0,0,
1,0,1,1,-2,3,0,0,0,-1,-1,-1,0,0,0,0,1,0,-1,0,1,
0,0,-1,0,0,1,-2,1,0,0,0,0,-1,0,0,1,0,0,-1,1,0,
0,0,1,0,0,0,-1,0,0,-1,0,0,0,0,0,-2,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,-1,0,1,1,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,-2,2,0,2,0,-1,0,1,1,0,0,1,0,0,
-1,-1,0,-1,0,-1,-1,-1,-1,1,1,1,0,0,0,0,-1,0,0,0,
-1,0,0,0,0,0,0,1,0,1,0,0,1,0,-1,0,0,0,0,1,-1,
0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,
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,-4,-1,0,2,0,-2,-1,1,0,1,2,1,-3,0,2,
2,2,-4,-1,0,1,-2,1,-3,-1,0,0,1,0,0,0,0,0,-1,0,
1,0,-2,0,0,0,0,0,1,1,-1,1,0,0,2,0,-1,0,1,0,0,
0,1,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,
2,0,0,0,0,0,1,0,0,1,-1,-2,-1,-1,-1,-1,-1,1,0,-1,
0,1,1,-1,-1,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,
0,0,1,0,0,1,0,0,0,-1,-3,-3,1,0,0,0,-1,0,-1,1,0,
-4,1,1,1,2,-2,0,0,1,-3,3,0,0,0,0,-1,-1,1,0,0,0,
0,0,0,0,-2,0,0,-2,0,0,2,-2,0,1,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,-1,0,0,0,-1,0,0,-3,0,0,0,0,0,-1,
0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,-1,0,0,-2,1,0,
1,-2,0,1,2,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,-1,3,0,0,0,1,-1,-2,-2,-1,
-1,1,1,-1,-1,0,3,2,1,0,1,2,1,1,0,0,-2,-1,1,0,0,
0,2,0,1,0,0,0,0,-1,0,0,0,-1,1,1,0,0,-1,-1,1,1,
-1,0,0,1,-2,0,0,0,0,0,1,0,1,-1,1,-1,0,0,0,0,0,
-1,0,0,0,-2,0,0,0,0,0,-1,0,0,-2,0,1,0,0,-1,1,0,
1,-2,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,1,0,1,2,2,0,-1,1,0,0,0,1,-1,
-1,3,-1,-2,-1,-2,3,1,0,-1,1,-1,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,3,0,0,1,0,0,-2,1,0,-1,0,0,0,0,0,0,
1,0,0,-1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,-1,0,0,-1,1,1,1,0,-1,1,0,-1,
-1,1,0,-1,-1,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,2,0,0,0,0,-1,-1,0,-1,-1,-1,1,2,1,0,
0,1,0,2,0,1,-1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,1,0,0,-1,1,0,-1,0,0,1,0,0,0,0,0,0,1,-1,0,
0,0,0,0,0,0,-1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,-1,-1,0,0,0,1,2,0,1,-1,1,0,-1,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,-1,1,1,-1,1,-2,0,-2,-1,-1,0,-2,1,1,-1,1,
1,-2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,
0,0,0,0,0,-1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,1,0,0,1,-1,-1,-1,0,0,1,0,1,-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,
0,0,2,1,0,1,-1,0,0,0,-1,1,0,-1,2,0,0,0,0,0,-2,
-1,-1,1,-1,1,-1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,-1,1,0,-1,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,
1,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
1,0,0,1,-1,-1,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,-1,0,1,-1,1,-1,1,-1,2,-1,0,-1,-1,1,-1,0,0,-1,0,
0,-1,1,1,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,
0,0,0,0,1,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,1,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,1,0,0,0,0,-1,-2,0,1,0,0,0,0,0,0,0,
0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,-1,
0,-2,0,0,0,1,1,2,2,1,0,-1,-2,1,0,-1,-1,2,1,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
1,0,0,0,1,-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,-1,0,0,0,0,0,0,0,1,2,1,0,-1,
0,0,1,-1,-2,-2,0,-1,1,1,-1,0,0,1,1,0,1,0,2,1,0,
0,1,-1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,-1,1,0,1,
0,0,-1,-1,0,0,-1,0,0,0,-1,0,0,0,-1,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,-2,0,1,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,3,0,-1,-1,0,3,
-1,0,0,0,-1,3,0,-1,0,-2,2,1,1,-1,0,-1,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,2,0,0,1,0,0,-1,2,-1,0,0,
0,1,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,1,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,-2,0,1,1,0,
0,1,0,0,0,2,0,-1,-1,0,0,0,0,0,0,0,0,-2,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,1,0,1,0,0,
-1,0,0,1,-2,0,1,-1,-1,2,1,0,0,-2,1,0,0,0,0,-1,
-1,1,0,0,0,-1,0,0,0,-1,0,0,-1,0,0,1,-1,1,0,0,
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,-1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,
1,0,1,0,0,0,1,0,0,0,0,0,0,-1,1,0,1,-1,-1,-1,2,
-1,-1,0,1,1,0,1,-2,0,1,1,1,-2,1,0,1,1,1,1,0,0,
0,0,0,0,0,0,0,1,0,0,0,-1,0,0,-1,0,0,0,-1,1,1,
0,0,-1,-1,1,0,-1,0,0,1,0,0,0,0,-2,0,0,0,1,0,0,
-1,0,0,0,0,0,-1,0,0,0,-2,0,0,0,0,0,-1,0,0,0,1,
1,0,1,0,-1,0,0,1,-1,0,1,1,0,0,0,0,0,0,0,0,2,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,3,1,1,-1,0,
1,0,-2,-2,-2,-1,0,0,1,0,-1,-1,3,1,1,0,1,1,3,0,
0,1,-1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,1,
0,0,0,-1,-1,1,0,-1,0,0,1,-1,0,0,0,-1,0,0,0,1,
0,0,0,0,0,0,0,0,-1,0,0,0,-2,0,0,0,0,0,-1,0,0,
-2,0,1,0,0,0,1,0,1,0,1,0,-1,-1,0,0,0,0,0,0,1,
0,0,0,0,1,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,-1,0,
1,0,-1,1,1,1,-1,0,0,-1,1,-1,-1,-1,0,0,0,0,-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,-1,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,-3,0,
1,-1,0,-2,2,0,1,1,-2,0,3,1,0,-1,3,2,1,0,1,2,0,
1,2,-1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,1,1,0,0,0,-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,-1,0,0,0,
-1,1,-1,0,0,2,1,0,-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,-1,1,-2,0,2,0,1,
1,1,1,-1,0,0,1,0,0,0,-1,1,-1,-1,-2,-1,-1,-1,-1,
0,-1,-1,1,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,1,1,
-1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,-1,
-1,0,0,-1,0,0,0,-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,-2,1,
-1,-1,1,1,0,1,1,-1,0,-1,0,1,-1,-2,2,0,0,-1,0,0,
0,1,1,-1,-1,1,1,-1,0,0,1,1,-1,-1,0,0,0,0,0,0,0,
0,1,0,0,-1,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
1,0,0,0,-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,-2,0,
0,1,0,0,0,0,0,-1,1,-3,0,-1,0,1,-1,-1,0,-1,0,1,
0,0,-1,-1,0,0,0,0,0,0,1,0,0,0,-1,0,0,-1,0,0,1,
-2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,
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,-1,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-2,-2,0,
1,-1,-1,0,1,1,0,1,-3,0,1,1,1,-2,0,0,0,1,1,1,0,
0,0,0,0,0,0,0,0,1,0,0,0,-2,0,0,-1,0,0,1,-2,1,
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,
-1,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,-1,0,0,1,-1,0,0,1,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,2,1,-1,
1,0,-1,-1,-1,-2,0,1,1,0,-1,-1,3,1,0,0,0,0,1,1,
0,-1,-1,-1,0,-1,1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
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,-1,1,0,0,-1,1,0,0,-1,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,1,0,0,-1,0,
0,0,1,0,1,0,1,0,0,-1,1,0,-1,0,1,0,0,0,1,0,0,1,
1,-1,0,1,1,0,1,0,0,1,-1,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,-2,-1,1,0,1,0,0,1,
-1,1,0,1,0,-1,-1,0,2,-3,0,-2,0,-1,-1,-2,-1,-1,-1,
1,-1,0,-1,0,-1,0,0,0,0,-2,0,0,-1,0,0,1,0,-1,2,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,
0,-2,-1,0,-1,0,-1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,-1,0,1,-1,0,
1,0,-1,0,-1,1,-2,0,0,0,-1,1,0,0,0,0,0,1,-1,-1,
0,0,0,0,-1,0,-1,1,1,0,0,-1,0,-1,-1,0,0,0,-1,1,
1,0,0,-2,-1,1,0,-1,0,0,0,0,0,0,0,-1,0,0,0,1,0,
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,-1,-1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,-1,1,
-1,0,1,0,1,0,1,-1,-1,-1,2,0,-2,1,0,0,-1,0,1,1,
0,1,1,-1,0,1,2,0,1,0,0,0,-1,-1,-1,1,0,0,0,0,-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,-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,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,-2,
1,0,0,0,-1,0,-1,2,-1,-2,-1,-1,3,-1,0,-1,1,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,-1,0,0,
-1,0,0,-1,0,-1,0,0,0,0,-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,-1,0,0,-1,-1,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,-1,0,
0,-1,-2,0,0,0,0,0,1,1,0,1,1,-1,0,-1,1,1,-1,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,-1,1,0,-1,
0,0,-1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,1,1,0,1,0,
-2,0,0,-1,0,1,2,0,0,0,2,-1,1,-1,2,0,0,-1,0,0,
0,0,0,0,-1,1,-1,0,0,1,1,1,0,0,0,0,0,0,1,-1,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,0,1,
-1,0,0,0,-1,0,2,0,0,-1,0,2,0,0,2,0,-1,0,0,1,0,
1,0,0,-1,1,-1,0,0,0,0,1,0,0,0,0,0,-1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
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,-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,-1,0,0,0,-1,
-1,1,-1,0,1,0,1,1,0,1,0,0,-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,
0,0,0,0,0,0,1,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-2,0,-1,1,-2,-1,
0,-2,0,1,-3,0,0,1,-2,1,0,1,0,-1,1,1,0,0,0,-1,0,
0,0,0,0,0,0,-1,0,0,1,0,0,0,-1,0,-1,0,0,-1,1,-1,
0,0,0,0,-1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,-1,0,0,0,-1,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,1,-1,0,1,1,-1,-1,-1,0,1,
-1,1,-2,1,2,2,2,-4,-2,-1,0,-1,1,1,0,-1,-1,1,0,0,
0,0,0,1,0,0,0,-2,0,0,0,0,0,1,0,-1,1,0,0,1,0,0,
0,0,0,0,1,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,1,-1,-1,0,0,0,0,0,0,
0,-1,0,1,2,-1,-1,1,1,1,0,0,0,1,1,0,-1,0,-1,0,0,
0,0,0,0,0,0,0,-1,1,-1,0,0,0,0,0,-1,0,0,0,0,-1,
0,-1,2,1,-1,0,0,2,0,-1,1,0,1,0,1,0,0,-1,-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,-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,-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,
0,0,0,0,0,0,0,0,0,0,2,3,1,-2,1,-2,1,-2,1,0,-2,
3,-2,-2,-1,-1,4,0,0,-1,2,-1,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,2,0,0,1,0,0,-2,1,1,-1,0,0,-1,-1,0,0,
0,0,0,-1,0,0,0,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,-1,0,0,0,1,0,0,0,-1,1,-1,0,
-2,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,3,1,-1,1,-2,0,0,-1,-2,0,-1,
-1,-1,2,-1,0,-1,1,-3,0,1,-1,1,2,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,1,0,0,1,-1,-1,-1,-1,1,1,-1,
1,0,1,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,
0,0,0,0,-1,0,0,0,1,-1,0,-2,-1,2,1,1,0,-1,1,-1,
1,0,-1,2,-2,-2,0,1,-2,2,-1,-2,2,-1,-1,1,0,-1,-1,
-1,0,0,0,0,1,0,1,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,2,1,0,0,-1,
-1,0,-1,-1,-2,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,-1,1,-1,2,
0,3,1,0,1,1,-1,-1,1,0,-3,2,-1,-1,0,1,-1,0,-1,-1,
0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,-1,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,1,1,1,0,
-2,1,-1,1,-1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-2,0,
-2,-1,-1,0,-2,2,1,0,1,0,-2,0,2,-1,1,1,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,-1,-1,-1,0,
1,-1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,-1,1,0,-1,0,1,0,
1,-1,0,-1,2,0,-3,0,-1,2,2,-1,0,1,1,-1,2,0,-1,-1,
-1,-1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,-1,0,1,0,0,
-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,-1,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,-2,0,1,0,
1,0,-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,-1,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,
-1,0,-2,1,-1,0,-2,1,1,0,-1,1,-2,0,0,0,-1,2,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,1,-1,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,-1,0,
-1,0,1,-1,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,-1,-1,2,0,
-1,-1,1,-1,1,1,0,-3,0,-1,1,0,-3,0,0,0,-1,1,-1,0,
0,0,-1,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,1,-1,0,
1,0,0,-1,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,1,0,0,
-1,0,0,0,0,0,-1,1,0,0,0,-1,1,-1,-1,0,0,0,0,2,1,
0,-1,0,-1,-2,-1,0,1,-1,0,2,1,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,-1,
2,-1,1,0,2,1,0,0,-1,-1,0,1,0,-2,1,-1,0,0,1,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,1,-1,0,1,
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,-1,0,0,0,0,1,0,0,0,0,1,1,1,
1,1,-1,1,-1,1,-1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,-1,2,-2,0,
-1,0,-2,-1,0,-1,-2,1,0,0,-1,1,1,2,1,0,1,1,0,1,
1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,-1,
0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,
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,-1,1,1,-1,1,1,0,
0,0,-1,-1,-1,2,1,0,-1,1,0,0,2,0,1,-2,0,1,1,-1,1,
-1,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,-1,1,-1,-1,0,0,
1,1,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,-1,0,0,1,0,0,
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,-1,1,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-2,0,0,-1,1,
-1,0,1,-2,3,-2,-3,0,2,0,0,-2,-1,2,1,-2,0,0,0,0,
0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,
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,-1,0,0,-1,1,0,2,1,0,-1,0,-1,-1,1,0,0,1,0,
-1,1,0,0,-2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,1,1,1,1,1,-2,1,0,-2,0,
1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,-1,1,0,-1,0,-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,
0,0,0,0,0,0,0,1,1,0,-1,-1,-1,0,-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,-1,-2,2,-1,-1,1,1,1,-2,
0,0,-1,1,-1,-2,-1,-1,2,0,-2,-1,-1,1,-1,0,0,-1,0,
-1,0,0,0,0,1,0,0,0,-1,0,0,-1,0,0,1,-1,1,1,0,0,
-1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,-1,0,
0,0,0,0,-2,0,0,0,0,1,0,1,1,0,-1,1,-1,-1,0,0,0,
1,-1,0,1,0,-1,-1,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,1,
0,0,-1,0,-1,-1,1,0,-2,-1,0,1,0,-1,-1,1,0,0,1,0,
-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,-1,0,0,0,1,0,0,0,1,0,0,0,0,
0,0,0,0,0,-1,0,0,-1,0,0,0,0,1,-1,0,0,0,1,1,0,1,
0,1,0,0,-1,-1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,-1,1,0,
1,-1,1,0,2,-1,-2,1,1,-2,-1,-1,-1,2,-1,-2,0,-1,0,
1,1,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,-2,0,0,0,
0,1,-1,0,-1,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,-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,-1,0,0,0,0,0,0,0,0,0,2,2,1,1,-2,0,0,0,
-2,-1,-1,-2,3,1,-2,0,-2,3,0,1,0,1,-1,1,1,0,0,-1,
0,-1,0,0,0,0,0,-1,0,2,0,0,1,0,0,-2,1,0,-1,0,0,
-1,0,0,0,-1,0,0,-1,-1,0,0,0,1,0,0,0,2,0,0,1,0,
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,-1,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,2,2,-2,2,1,-1,0,
-2,-1,0,0,2,1,0,0,2,-1,0,0,0,0,-2,0,0,0,0,1,0,0,
0,0,0,-1,0,0,0,0,0,0,1,0,0,-1,2,-1,1,0,0,1,0,0,
0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,1,0,0,
-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,-1,1,0,-1,0,1,0,1,1,
0,-1,1,0,1,0,0,0,0,1,0,0,-1,0,1,1,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,2,2,-1,0,-1,-1,-1,0,0,-2,0,-1,3,1,-2,1,0,
-1,0,0,1,1,-1,0,1,0,1,-1,1,-1,0,0,0,0,0,0,0,1,
0,0,2,0,0,-1,1,-1,-1,0,0,-1,1,-1,0,-1,0,0,-1,0,
0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,1,1,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,-1,0,-1,0,1,0,0,1,-1,0,-1,1,0,1,-1,-1,2,-1,
0,1,1,0,1,-2,1,0,-2,0,1,0,0,1,0,0,0,0,0,0,0,1,
0,0,-1,0,0,0,0,1,1,0,0,0,-1,0,0,1,0,0,0,1,0,0,
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,-1,1,0,0,-1,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,
0,2,1,-2,0,0,-1,0,-1,2,-1,0,0,0,1,0,1,0,-2,0,2,
-1,1,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,-1,-1,0,0,0,1,0,0,-1,0,0,1,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,-1,1,-1,-1,-1,
0,-1,0,0,0,1,0,0,1,-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,-1,0,
1,1,1,1,0,0,-2,0,0,0,0,0,2,-1,0,0,0,1,1,0,0,3,
-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,-2,
1,0,-1,0,0,-1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,1,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-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,-2,-3,2,
0,1,0,1,-1,-1,-2,0,1,-2,1,0,0,2,0,1,0,0,0,2,-2,
1,-1,-1,-1,-1,0,0,0,0,1,0,1,0,-1,0,0,-2,-1,1,2,
-1,0,2,-1,0,1,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,
-1,0,0,-2,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,-2,0,0,0,-1,-1,-1,0,1,0,-1,0,1,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,-1,1,0,-1,
-1,1,0,-1,1,0,0,1,-1,-1,0,1,0,0,-1,0,1,1,0,0,0,
2,0,1,0,-1,-1,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,-1,
-1,-1,0,1,-1,1,0,1,-1,1,-1,1,0,-1,1,0,1,-1,-1,1,
-1,-1,0,1,-1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,1,0,0,-1,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,-1,0,-1,
0,1,1,1,1,0,1,0,0,0,0,-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,-2,0,0,3,
0,0,-2,0,-3,-1,0,1,-4,2,1,0,2,-2,-1,1,0,-1,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,-2,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,-1,
-2,-2,-1,0,-2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,-1,2,
0,0,0,-1,-2,0,0,3,0,-2,0,1,0,-1,-1,-1,4,-2,0,1,
-1,0,1,1,-1,0,0,0,0,0,0,0,-1,0,0,1,0,0,-1,1,-1,
0,0,0,-1,1,0,0,-2,0,0,1,-2,0,0,0,-1,0,0,0,2,0,
0,0,0,0,0,0,0,1,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0])>;

return _LR;
