//Standard generators of U3(4) are a and b where a has order 2, b has order 3
//and ab has order 13.
_LR := rec < recformat< F: GrpFP, AI: SeqEnum, G: GrpMat > |
      F := FreeGroup(2) >;
_LR`AI := [ [a, b*a*b^-1*a*b*a*b^-1*a*b^-1*a*b*a], [a,b^-1] ]
                  where a is (_LR`F).1 where b is (_LR`F).2;
//second automorphism is square of first - must handle that somehow!

//four constituents
_LR`G :=
/*
Original group: c9Group("u34p")
Direct integral method
Schur index: 1
Character: ( 208, 16, 4, 0, -7, -7, -7, -7, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, -1, 
-1, -1, -1 )
*/

MatrixGroup<208,IntegerRing() |
Matrix(208,208,\[1,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,1,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,1,0,-1,0,0,1,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-2,0,0,0,0,0,1,0,1,0,-1,0,0,-1,0,
0,0,1,-1,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,1,1,0,0,
0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,
0,0,0,0,0,0,2,-2,-1,-1,-1,-1,0,-3,-2,0,0,0,-1,0,
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
-1,0,0,-1,0,0,0,0,0,0,-1,-1,0,0,0,-1,1,0,-1,0,
-1,0,0,0,0,0,0,0,0,1,-1,0,0,-1,0,0,0,0,1,0,0,
0,0,0,-1,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,1,0,
1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,1,1,
-3,0,0,0,-1,1,0,0,0,0,2,0,1,-3,0,-1,1,0,0,0,-1,
0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,
0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,
-1,0,0,-1,1,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,-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,-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,-1,0,0,0,0,-1,1,0,1,0,0,-1,0,0,0,2,0,0,0,0,
-1,0,-1,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,-1,0,0,0,-1,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,-1,0,0,0,0,0,0,-1,-1,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
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,-1,0,0,0,1,-1,0,
-1,0,1,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,2,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,
-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
-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,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,1,1,2,0,-1,0,0,-1,0,-1,-1,0,
0,0,0,-1,0,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
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,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,
-4,-2,-1,1,2,1,0,2,-1,3,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,
0,0,0,-1,1,0,0,0,0,0,0,1,0,0,0,0,1,-1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,-1,-1,
0,0,0,0,0,1,0,0,0,-1,-1,0,0,0,0,0,1,1,1,-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,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-2,0,0,0,0,-1,-2,-2,-1,1,2,2,
0,-1,2,-2,0,0,-2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-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,-1,0,1,0,0,1,0,0,0,0,-1,0,-1,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,1,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-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,
0,1,0,0,0,1,-1,1,0,1,0,0,-1,0,1,0,1,0,-2,0,0,
-1,0,-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,-1,0,0,0,-1,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,
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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,-3,-2,
-2,0,3,2,-1,1,0,-2,0,1,-1,0,-1,0,-1,2,0,1,-1,0,
0,0,0,0,0,0,0,0,0,0,0,1,-1,0,-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,-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,-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,-1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,1,0,1,
1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,-1,0,-1,1,0,0,1,1,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,
0,-2,1,0,1,1,0,2,-1,0,0,0,0,-1,0,1,1,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,
1,0,0,0,0,0,1,1,0,0,1,1,0,-1,0,0,0,0,1,0,0,0,
0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,-1,1,-1,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-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,
0,0,0,0,0,0,1,0,0,0,0,0,3,1,2,-1,-2,-2,1,-1,0,
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,-1,0,0,0,0,-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,-1,-1,1,0,0,0,0,0,0,-1,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,-1,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
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,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,
1,0,1,1,-1,-1,-1,-1,0,0,-1,0,0,0,0,0,-2,0,1,2,
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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,
0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,-1,0,
1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,-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,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,-1,-1,1,-1,0,0,
0,0,0,-1,0,1,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
-1,-1,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,
0,0,0,1,-1,0,0,-2,-1,1,-1,0,1,0,0,0,-3,2,0,-1,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,1,1,0,-1,0,0,0,0,0,0,0,0,1,1,0,-1,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,1,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-3,1,-2,-1,-1,0,
1,2,0,0,-1,0,0,2,0,0,1,0,0,-1,0,1,0,0,0,0,-2,
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0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,-1,-1,-1,0,0,0,
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1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,
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2,-1,0,1,1,0,0,-3,0,0,0,0,-1,0,0,0,0,0,0,1,0,
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2,0,0,-2,0,-1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,
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3,0,0,-1,-1,-1,0,-3,2,0,1,1,0,2,0,-1,0,0,0,1,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,
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2,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-2,-2,-1,1,
1,1,1,1,1,0,0,2,0,0,-1,0,0,2,0,2,-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,-1,
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0,-2,0,0,0,0,-1,1,2,2,1,-1,1,-2,-2,1,0,0,-1,-3,
0,1,0,-1,0,-1,0,1,-1,-1,0,1,0,0,0,0,0,-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,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,-1,
2,1,1,-1,-1,-1,0,-3,2,0,0,-2,0,2,0,0,-1,0,0,0,
0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
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1,-3,0,3,1,0,-1,0,1,3,0,1,-1,0,0,0,0,0,0,0,0,
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0,1,-1,-1,-1,-1,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,-1,
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
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1,0,-1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,
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2,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
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0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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2,0,1,0,1,-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,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
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0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,0,0,0,0,1,2,2,
2,-2,-1,-2,-1,-1,-4,2,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,
0,1,-1,1,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,
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0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,
1,0,0,0,-1,0,0,0,2,1,0,0,0,1,0,-1,-1,-2,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,2,0,0,2,0,
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,-1,1,0,0,0,0,0,1,0,1,
1,1,0,1,1,0,-1,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,
0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,
0,1,-1,1,-1,-1,-1,-1,0,2,2,2,-1,0,-1,3,0,-1,0,0,
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,-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,-1,0,0,0,0,0,0,-1,0,0,0,2,0,0,0,
0,1,0,1,1,-1,-1,0,0,0,0,1,0,0,0,0,1,0,-1,0,-1,
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,
0,-1,1,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,1,1,0,0,
-1,0,0,0,0,0,0,0,0,1,0,0,0,0,-2,-1,0,0,0,-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,-2,0,0,0,1,-1,-2,-3,1,1,
1,2,1,1,2,-1,0,1,-2,0,0,0,-1,2,0,1,-1,0,0,0,1,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,-1,1,0,
0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,1,0,-1,-1,-1,1,
0,-1,0,0,0,0,1,0,-1,0,1,1,1,1,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,-1,0,-1,0,-1,1,0,-1,1,0,0,0,0,
0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,-1,1,0,0,0,0,1,0,1,0,
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,-1,-1,1,-2,-1,-1,0,0,1,-3,3,-4,0,-1,
0,0,-2,0,1,2,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,
1,0,0,0,0,0,0,0,1,1,-1,0,0,0,0,0,-1,-1,0,0,0,0,
-2,0,-1,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,1,
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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,-1,1,2,
2,0,0,-2,0,0,-2,0,0,0,1,0,0,1,0,2,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,
1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,
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,-1,0,0,0,0,0,0,0,1,0,1,0,0,0,-1,0,0,0,
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0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,1,0,-2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,1,0,0,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,
1,0,1,1,-1,-2,-2,-1,1,2,0,2,1,0,0,0,2,0,-3,0,2,
0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,
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2,-2,-1,0,-2,0,2,0,0,0,0,4,0,0,-3,0,-1,1,0,0,
0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,-1,0,
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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,-1,0,-1,
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0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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1,0,-1,0,0,0,0,0,0,-1,0,0,1,0,-1,0,-2,0,0,1,0,
0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,-1,-1,
0,0,0,1,1,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,
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0,1,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
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1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,-1,0,0,-1,1,0,0,0,0,2,0,1,0,0,
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0,-1,0,0,0,0,0,-1,-1,0,-1,-1,1,0,1,0,0,0,2,0,0,
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0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,
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1,-1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,-1,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,-1,0,1,
0,2,0,-1,-1,-1,0,0,0,-2,0,-1,0,0,1,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
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,-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,-1,0,0,0,0,
0,0,0,0,0,0,-1,0,0,1,0,-1,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,
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0,0,0,-2,0,0,0,0,-2,1,1,2,0,1,-1,-1,-3,0,-2,0,
1,-3,0,3,0,-1,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,1,0,1,0,0,0,1,0,0,0,0,
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0,-1,-1,0,-1,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,1,1,0,
0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,1,1,-1,-1,-1,0,1,0,-1,1,0,-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,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,
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1,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,-1,0,0,0,0,
0,1,0,0,1,-1,-1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,
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0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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1,0,1,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
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1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,1,-1,2,1,1,-1,-1,-1,0,-1,1,-1,0,0,0,0,-1,0,1,
2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-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,
0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,1,
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0,0,0,0,0,0,1,1,0,0,0,1,-1,0,1,0,0,-1,0,-1,-1,
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0,0,-2,0,2,0,-1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,
1,0,2,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,1,
0,0,0,1,1,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,
1,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,-1,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,
0,1,-1,2,-2,0,-2,-1,0,2,1,3,-4,0,1,2,0,-2,0,0,
4,0,0,-1,0,0,0,-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,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,1,0,0,0,
0,1,0,0,0,0,-1,0,0,0,0,1,-1,-1,0,1,0,-1,-1,0,0,
0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,-1,0,
0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,-1,1,
-1,-1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,-1,-3,0,
1,2,0,2,1,-1,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,-1,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,
0,1,1,0,0,1,1,0,0,-1,0,0,0,1,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
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0,0,0,-1,2,-1,0,0,1,0,2,0,0,0,0,0,2,0,0,1,0,1,
-2,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
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,-1,0,0,0,0,0,0,0,0,0,0,1,1,
0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,-1,0,-1,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,-2,0,-2,
2,0,0,2,0,1,0,-2,2,0,-1,-1,-1,-1,0,0,0,0,0,0,-2,
0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,-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,-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,
0,1,0,0,0,0,0,-1,0,0,0,0,-1,0,0,-1,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,-1,-1,-2,-1,-2,1,0,2,0,1,0,3,0,
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,
0,0,0,0,0,0,0,0,0,-1,0,-1,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,1,0,
0,1,0,1,0,1,0,0,1,0,0,0,0,-1,0,-1,1,0,0,1,0,0,
-1,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,1,0,0,0,-1,0,0,
0,-1,0,0,0,0,-2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
1,0,-1,-1,-1,1,-1,1,1,1,0,2,0,0,1,0,-1,0,1,-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,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,-1,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,-1,0,0,0,2,0,0,0,0,1,0,-1,-1,-2,-1,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,-1,0,
-1,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,-1,0,-1,-2,0,1,
1,2,1,3,-3,0,-1,1,0,1,0,0,0,0,-1,0,0,0,0,-1,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,-1,0,
0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,1,0,-1,-1,0,
0,0,0,1,0,0,0,0,1,0,-1,0,-1,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,1,0,
0,0,-1,-1,0,0,0,-1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-2,-2,0,0,0,-1,0,0,-1,0,0,-1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,1,0,0,0,1,0,-1,-1,0,1,0,1,0,-2,0,0,1,
0,0,-2,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
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0,0,0,0,1,1,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,1,0,
0,0,0,0,0,1,0,-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,-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,-1,
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,-1,0,0,0,0,-1,-2,-2,1,
1,1,1,1,2,1,3,0,1,0,0,1,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,
0,0,0,0,0,2,0,-1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,
0,1,0,0,0,0,1,-2,0,-1,0,-1,0,-1,-1,1,0,0,0,0,1,
0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,1,0,-1,-2,3,2,1,-2,-2,0,-1,0,0,1,0,-2,
2,0,1,0,-2,-2,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,-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,
0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
1,0,1,0,1,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,-1,-1,-1,0,0,0,0,0,
0,1,1,0,-1,0,0,0,0,0,-2,0,0,0,0,-1,0,0,1,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,2,0,0,0,1,2,1,3,0,0,-1,-2,-1,-1,-3,0,
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,-1,0,0,0,0,0,0,0,0,0,0,
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1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,
0,0,1,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-1,
1,0,0,0,-1,-1,0,-2,4,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
1,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,-1,0,-1,
0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,-1,0,0,
0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,-2,-1,1,0,1,
0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,1,0,0,1,0,0,
0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,2,0,0,0,-1,0,0,1,-3,-1,-1,1,0,1,
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0,0,1,0,-1,0,1,0,0,0,0,0,0,1,2,0,-1,0,0,0,0,1,
1,-1,0,1,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,
0,1,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,
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0,0,0,1,0,0,0,0,1,-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,-1,
0,0,0,1,0,0,-2,3,1,1,-1,0,-1,1,1,0,-1,-2,0,1,0,
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0,0,0,-1,1,0,0,1,0,0,0,0,0,0,0,-1,0,1,0,-1,0,
0,0,0,0,0,-1,-2,0,1,0,0,0,0,-1,-1,1,0,-1,-1,1,
1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,-1,0,0,-1,0,0,
0,0,1,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
-1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,-1,1,0,1,
1,-1,-1,1,0,2,-1,0,0,0,0,1,0,-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,-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,-1,0,0,
0,0,0,0,0,0,1,0,0,0,-1,-1,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,1,
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,-2,-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,-1,0,0,0,0,-3,2,0,0,1,-1,1,1,0,3,-1,0,1,
0,0,0,0,-1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,-1,0,0,-2,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
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0,-1,0,-1,1,3,-1,-1,-2,0,0,0,-2,-2,0,0,0,0,-1,0,
0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,-1,-1,0,0,-1,0,1,0,0,0,0,0,
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1,0,-2,0,0,0,0,-2,0,1,2,0,0,-1,0,0,1,-1,0,0,0,
1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,
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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,-1,0,0,0,-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,-1,1,1,0,0,-1,0,0,-1,0,
1,0,1,0,0,0,0,0,0,-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,-1,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,-1,-1,1,0,0,0,0,0,0,-1,0,0,0,0,0,-1,-1,0,0,0,
1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,1,0,0,-1,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,-3,-2,-1,1,3,0,
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1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
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0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,
2,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,1,0,
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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,-3,0,-1,0,0,1,-2,-4,0,
0,2,1,0,-1,1,-2,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,
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0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,-1,0,0,0,1,1,0,0,0,0,0,0,-1,-1,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
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0,0,0,0,0,0,0,0,1,0,0,0,-1,0,1,1,-2,0,0,0,1,0,
1,0,0,1,3,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,
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0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,-1,0,
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4,0,1,-1,0,0,0,-1,0,0,0,0,0,0,0,0,1,-1,0,0,0,
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0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,1,1,
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0,1,0,0,-1,0,0,0,0,0,-1,0,1,0,0,-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,
0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,-1,0,1,0,0,0,0,
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1,0,0,1,0,0,0,1,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
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0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
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0,-2,2,1,3,0,-1,-1,-2,-1,-2,-4,1,0,0,-1,0,2,0,1,
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0,0,-1,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,1,0,1,0,
0,1,-1,0,0,0,0,0,1,0,1,-1,0,0,0,0,0,0,-1,0,1,1,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,-1,0,
1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,-1,3,1,0,0,-2,1,
1,0,2,0,0,1,1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,0,
0,0,0,1,0,-2,0,-1,1,2,1,-1,1,0,-1,0,-1,-1,0,-1,
0,1,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,
0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
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0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
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0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,3,0,-1,-1,-1,
1,1,0,1,0,2,-1,0,-2,-2,0,-1,0,1,1,0,0,0,0,0,0,
2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,
0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,-1,0,0,0,-1,-1,0,0,0,0,0,0,0,
1,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,2,1,2,0,-1,-1,0,1,1,1,0,-3,
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0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,
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2,0,0,0,-1,1,1,1,-1,0,-1,0,0,0,1,-2,0,5,1,0,-1,
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2,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,
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1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,
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1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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1,1,0,0,-2,0,0,0,0,-1,0,0,2,2,0,0,0,0,0,0,0,0,
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0,2,2,0,0,-2,-1,1,-1,0,0,0,0,2,0,1,0,-1,1,0,0,
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1,0,0,-2,0,3,-2,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,
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0,0,0,0,0,0,1,0,1,1,1,1,-1,-1,-2,-1,0,0,-2,-1,
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1,0,1,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,
1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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1,1,0,2,0,0,1,2,0,1,0,0,0,0,1,-2,0,0,1,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-2,0,
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0,0,2,1,-1,0,-1,0,0,1,0,0,-1,0,-1,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,1,0,0,1,0,1,1,1,-1,0,0,-1,0,-1,0,-1,-1,0,-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,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,1,1,1,0,
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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,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
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0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
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1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,1,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,-2,0,-1,0,2,-1,0,1,1,0,-2,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,-1,
-2,0,1,1,1,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,1,-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,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
-1,0,-1,0,0,0,-1,-1,-1,1,2,2,0,0,0,0,0,-1,-1,0,
1,0,0,-1,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,0,1,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,1,1,1,1,0,-1,0,0,0,-1,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,
-1,0,0,-1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-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,-1,-1,
-1,0,0,0,0,-1,-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,-1,-1,0,
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,-1,0,1,-1,0,0,-2,1,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,-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,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,-2,0,-1,0,0,0,-1,-1,-1,
0,2,1,0,0,0,1,0,-2,0,0,0,0,0,-1,-1,0,0,-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,
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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,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,-1,0,0,1,1,1,-2,0,1,0,-1,1,0,0,0,1,
1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,
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-1,-2,1,0,-1,1,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
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0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,-1,0,0,0,1,0,-3,-2,-1,1,4,-1,1,1,-3,2,
0,0,0,0,1,0,1,-1,0,0,0,-1,0,0,0,0,1,0,0,0,-1,
0,0,1,0,-1,0,0,0,0,1,1,-1,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,1,0,1,-1,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-2,0,0,-1,0,
0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,1,0,0,0,-1,0,0,0,0,-1,0,0,0,1,0,0,0,-1,0,
-1,0,1,0,-3,-2,-1,1,2,0,1,0,-2,1,0,-1,-2,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,1,0,0,0,0,
0,0,-1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,1,0,0,-1,0,0,1,0,1,-1,-1,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-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,
0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,
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,-1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,1,1,
-1,1,-1,-1,1,-2,0,0,-1,0,0,0,-1,-1,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,
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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,-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,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-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,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,-1,
1,1,1,0,-1,-1,-1,-1,2,0,0,2,1,0,0,0,0,2,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-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,
0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,-1,-4,1,-1,0,4,
-2,0,1,0,0,-3,0,-2,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,-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,
-1,0,0,0,1,0,0,0,0,0,0,-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,-1,0,0,0,1,0,0,0,0,0,0,0,0,-1,-1,-1,0,1,
0,0,0,0,-1,0,1,1,2,0,0,-1,-2,-1,-3,0,-2,-3,0,0,
0,-1,-1,0,0,0,0,0,0,1,0,-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,
0,0,0,0,0,0,0,0,0,0,1,0,-1,-1,0,0,1,1,0,0,0,0,
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,-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,
0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,-1,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,
0,-1,-1,-1,0,2,1,0,2,1,0,-1,0,0,1,0,0,0,0,0,0,
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,1,0,-4,-2,-1,1,4,-1,1,0,-4,0,0,-2,
-3,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,1,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-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,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,-1,0,0,0,1,0,0,0,-2,0,-1,0,0,
0,1,1,2,0,-1,0,-1,-2,0,-2,0,-1,-3,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,-1,-1,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,1,0,0,0,0,-1,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,1,0,1,0,0,0,0,1,-1,1,0,2,0,-1,-1,
-1,-1,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-2,0,
-1,0,1,0,-1,1,-1,3,2,0,1,1,-1,0,0,0,0,0,0,0,1,
0,0,0,0,-1,0,0,1,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,
0,-1,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,-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,-1,0,0,0,0,-1,1,0,0,0,0,
0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,
-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,-1,0,0,
0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,-1,1,-1,-1,-2,-2,
-1,0,-1,0,-3,0,-2,-2,0,-1,0,-1,0,0,0,0,1,0,0,1,
0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,
0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,
0,1,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,-2,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,
2,0,1,0,-1,-1,0,0,0,0,0,-1,0,-1,0,-1,0,-1,-1,0,
1,0,-2,0,0,0,0,1,0,0,0,0,-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,
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,-1,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,-1,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,-1,0,-1,0,-2,
-2,-1,0,3,0,0,-1,-3,1,0,-1,-2,0,3,0,2,-1,0,0,0,
-1,0,0,1,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,-1,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,1,0,1,0,0,0,-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,-1,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,-2,0,-3,0,0,0,2,1,
1,0,2,2,0,1,-1,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,-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,-1,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,1,0,0,-1,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
1,-1,0,0,0,1,2,0,0,-2,-3,0,0,-3,-3,0,0,0,1,-1,
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,-1,0,0,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,1,-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,-1,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,-2,0,-1,0,-1,0,-1,1,2,0,
0,-1,-3,0,0,0,-1,0,2,0,-1,-2,0,0,0,-1,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,
-2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,-1,-1,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,
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,-1,0,0,0,0,0,0,0,0,0,0,
1,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,
2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
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,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,-1,
0,-2,0,1,-2,0,0,0,-1,-1,0,-1,0,-1,0,0,0,0,1,0,
0,-2,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-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,
0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-5,-3,-1,1,4,0,1,1,-2,1,
0,-1,-1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,
0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,-1,0,1,0,0,1,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,
0,-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,-1,0,0,0,1,0,0,0,2,0,0,
0,0,-1,0,0,0,1,1,-1,0,1,0,1,0,2,2,0,1,0,0,2,1,
0,0,1,0,0,1,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,1,1,
1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,1,0,-1,2,-2,0,2,0,1,0,0,0,
0,1,0,1,0,0,2,0,1,-1,0,0,0,-1,0,0,-2,0,1,0,0,
0,-1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,
-1,0,0,0,-1,-1,0,0,0,0,0,0,0,0,1,0,1,1,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,
-1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,-1,2,2,1,0,-1,0,-2,-1,1,0,0,1,0,0,1,0,-1,
1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,
0,1,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,-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,-1,-1,0,0,0,0,
0,0,0,0,0,0,-1,-1,0,0,0,0,-1,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,1,0,
0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,1,-1,-1,-1,
-1,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,1,0,
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,
0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
1,0,0,0,1,0,-2,0,-1,2,4,1,-1,2,-2,1,0,-1,0,0,0,
0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,-1,-1,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,-2,-1,-1,0,0,0,0,-1,1,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,1,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,-1,
0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,2,2,-1,2,
-2,-1,0,-1,2,-1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,2,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,-1,0,2,2,-1,
1,-2,-1,-1,-2,1,-1,0,1,0,0,-1,0,-1,1,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
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0,-1,0,-1,-1,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
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0,-2,2,0,0,0,0,3,0,2,-1,1,0,1,0,0,0,1,0,0,0,
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1,0,0,0,2,2,1,0,-4,-1,0,0,3,0,0,2,3,0,-2,0,-3,
1,0,0,0,1,0,0,-1,0,-1,0,0,0,1,0,0,-1,0,0,1,0,
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0,0,0,-2,0,1,0,-1,1,4,3,3,-1,-5,0,-1,0,4,-1,0,
3,2,0,-1,0,1,1,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,
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0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-2,0,0,
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1,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,
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1,0,1,1,1,0,0,-1,0,0,-1,0,1,0,0,0,0,1,-1,0,0,
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0,0,0,1,0,0,0,0,0,0,0,0,0,-2,-2,-1,1,1,0,1,0,
0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,
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0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,1,-2,1,0,0,-1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,-1,0,0,0,-1,
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0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,-1,0,2,0,0,0,0,0,2,-2,-1,0,0,2,2,-1,0,1,2,0,
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1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,
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2,0,-1,0,0,0,1,0,-1,0,0,-1,0,-1,-2,0,0,-1,-1,0,
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0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
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1,-1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,
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1,1,-1,1,1,1,1,0,0,1,0,0,0,-1,0,0,-1,0,0,-1,0,
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0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
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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,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,
0,0,1,1,1,0,-1,0,-1,0,2,0,0,0,1,0,-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,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,-1,0,0,0,1,0,0,0,-2,0,1,-1,1,-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,-1,-1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
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2,0,1,-1,0,-1,-1,1,0,-1,-2,0,0,0,1,0,1,0,0,0,
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1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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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,-1,0,0,0,0,0,0,0,0,0,0,1,1,0,
-1,-1,1,1,0,1,0,0,0,-1,-1,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,1,0,0,0,0,-2,0,-1,0,0,1,0,1,-1,-1,
1,0,-1,-1,0,1,0,0,1,0,0,0,0,0,0,1,0,-1,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,
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0,-1,0,-2,-1,-1,2,0,1,-1,-2,0,0,-2,-2,0,1,0,2,0,
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0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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1,0,0,-1,0,0,1,0,1,0,0,0,-1,0,0,0,0,0,0,-1,0,
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0,1,0,0,0,0,0,1,0,-2,0,-1,0,1,-1,0,0,0,1,1,-2,
0,-1,-1,1,0,0,-1,0,-1,0,1,1,0,0,0,0,0,0,1,0,1,
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1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
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0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
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0,1,0,0,1,1,2,0,1,-2,0,-1,0,3,-1,0,0,2,0,-2,0,
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0,0,0,0,0,1,0,1,0,0,-1,-1,-2,0,-1,1,-1,2,1,-1,
2,1,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,
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0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,-1,
0,0,0,0,1,-1,0,-2,-1,0,0,-2,-1,0,1,0,0,1,-1,0,
0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
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1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,
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0,-2,-2,-2,-1,0,3,1,1,0,-2,-1,0,-3,-1,0,1,0,-1,
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0,0,0,0,0,0,0,0,0,-1,0,-1,0,1,0,1,1,0,1,-1,0,
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1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,1,0,0,0,2,1,2,-2,-3,-2,0,-1,0,-1,0,1,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,1,0,0,0,0,0,-1,0,-1,-1,-1,-1,-1,0,3,0,0,0,-4,
1,0,-2,-2,0,3,0,1,-2,0,0,0,0,0,0,1,0,0,0,0,0,
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1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
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0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
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0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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2,2,0,-1,0,-1,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
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1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,
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2,-1,0,1,0,0,-1,0,-1,1,0,0,0,1,0,0,1,0,-1,0,0,
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1,1,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,-1,
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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,-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,-1,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,
0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,
0,0,-1,-1,0,1,1,1,0,-1,0,0,0,-2,-1,0,0,0,-1,-1,
0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,-1,-1,1,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-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,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,-1,0,0,0,1,0,0,0,0,0,2,1,0,0,-2,-1,
0,-2,2,0,0,1,0,0,-2,0,-1,1,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,
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,-1,0,0,
0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,1,0,0,-1,2,0,0,-2,-2,-1,0,0,0,0,0,1,0,0,-1,0,
0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,-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,
0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,
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,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,-1,2,0,-1,
1,-1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,-1,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,
-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,1,1,1,1,-1,-1,-1,0,0,0,-2,0,1,0,0,0,
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,-1,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,-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,-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,
1,0,-1,1,1,-1,-2,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,
1,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,-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,-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,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,2,1,3,0,0,2,
0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,-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,
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,-1,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,2,0,
0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,-2,0,-1,0,0,0,
-2,0,2,1,1,1,0,0,1,-1,0,-1,-1,0,0,0,0,-1,0,0,0,
-1,0,0,-1,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,-1,1,
1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,1,0,0,0,-4,0,0,0,0,1,1,2,2,0,-1,2,-2,-1,
2,-2,0,-2,-2,0,-3,0,0,-2,-1,0,0,-1,0,0,-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,-1,0,0,0,0,0,0,
0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,
0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,1,0,1,
0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,1,-1,-1,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,
1,0,-1,0,0,-1,0,0,0,0,1,0,0,0,-1,0,0,1,0,0,0,
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0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,-1,-2,-1,1,-1,2,
0,0,0,-2,0,0,-2,-2,0,0,0,0,-2,0,0,0,0,0,0,-1,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
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0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,1,0,
0,1,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,-1,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,
2,0,1,0,-1,0,0,-1,0,0,1,1,0,1,1,2,0,2,3,0,2,0,
1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,1,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,-1,0,0,0,1,0,0,0,-1,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,0,1,0,0,1,0,-1,-1,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,-1,0,-1,0,-1,1,-1,0,-2,
0,2,1,0,1,1,0,0,0,1,0,2,0,1,0,-1,0,0,-1,0,0,0,
0,1,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
1,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,
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0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,-1,-1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,1,0,1,0,0,-1,0,0,0,-1,0,0,1,1,-1,0,0,-1,0,0,
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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,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,1,
1,0,0,1,-1,-1,-1,0,-2,-2,0,1,0,0,-1,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
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,-1,0,0,0,0,0,0,1,0,0,0,
1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,2,1,1,0,-3,-1,0,-2,3,-1,0,
1,0,0,-1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,
-1,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,
0,1,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,-1,0,1,
1,-1,2,0,2,2,-1,0,0,-2,0,0,-1,-1,0,-1,0,1,0,-1,
0,0,-1,0,0,1,0,0,0,0,0,-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,-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,
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,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,-1,-1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,-1,0,1,2,0,0,0,1,-2,1,0,
0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,-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,-1,0,0,0,0,-1,-1,0,-1,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
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0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,
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1,1,0,1,-2,3,2,0,1,-1,-1,1,0,1,-1,0,1,0,2,0,0,
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0,0,0,1,-1,-2,0,0,-1,0,0,0,0,0,0,0,0,0,1,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,-1,0,0,0,0,
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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,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,-1,-1,-3,0,-2,0,0,1,1,1,1,0,1,2,0,1,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,-1,1,-2,0,-1,0,0,-3,0,0,1,0,0,0,0,0,0,0,0,-1,
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0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,2,0,1,0,0,0,0,0,1,0,1,2,0,1,0,-1,1,0,-2,
0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
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0,-1,-2,-2,-3,1,-1,0,1,0,2,2,0,0,0,0,2,0,0,0,1,
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0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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1,2,0,1,2,0,1,0,0,-1,0,-1,0,0,0,0,-2,0,1,0,0,
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1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
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-1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,
0,0,0,1,-1,1,1,0,3,-1,-2,0,-3,-1,-2,0,-1,-3,0,0,
0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,2,0,-1,1,0,1,1,1,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,-1,0,1,0,-1,0,0,-1,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,1,0,0,-2,-2,
1,0,1,-1,1,0,-1,1,0,0,0,0,2,0,1,-1,0,0,0,-1,0,
0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
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0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
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0,-1,-1,0,0,0,-1,0,1,0,0,1,0,1,1,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-2,0,-1,1,0,0,-2,-1,1,1,2,1,1,0,0,1,0,-1,0,
0,1,0,1,-1,0,0,0,-1,0,0,-1,0,0,0,0,0,-1,0,0,1,
0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,-1,0,-1,0,2,0,0,1,-2,0,0,-1,0,0,-1,0,0,-1,0,
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0,0,0,0,0,0,0,0,-3,0,0,0,0,0,-2,0,0,1,2,0,0,1,
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0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
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0,0,0,0,1,-1,-1,0,-2,-1,0,1,1,1,0,0,0,1,0,-1,0,
0,1,-1,0,0,0,0,0,-2,0,1,0,0,0,0,0,0,0,0,0,0,
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1,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,1,0,
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-3,0,-1,1,2,0,0,3,2,0,-1,0,-1,2,0,0,0,1,0,0,0,
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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,-1,0,0,0,1,0,0,0,0,0,0,-1,0,0,1,0,0,1,1,
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0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,-1,0,0,0,
1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,
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0,-1,0,0,-2,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,-1,
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0,2,0,0,0,-1,-1,1,-1,1,1,1,2,0,1,0,-2,1,0,0,0,
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4,0,0,1,-2,2,0,-2,0,0,0,0,-1,-1,0,0,0,0,0,0,0,
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2,2,0,0,0,0,1,0,0,0,0,0,0,1,0,-1,0,0,0,1,0,0,
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1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
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1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,1,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,1,0,0,0,
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0,0,-1,1,1,2,0,-2,-2,0,-1,-1,-1,0,0,-1,0,0,0,0,
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,
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1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,-1,0,0,0,1,0,0,
0,0,-1,0,0,0,0,0,0,0,-2,0,0,0,0,1,-1,1,1,0,2,
1,-1,2,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
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0,-1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,
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0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,1,0,-1,0,-1,0,-1,-1,-1,-1,1,1,1,2,1,0,0,2,
3,0,2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,
0,0,0,1,0,0,0,0,0,0,0,0,-1,0,1,0,-1,0,0,0,-1,
0,1,1,0,0,-1,1,0,0,1,2,0,1,1,0,1,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
1,-1,-1,0,0,-1,0,0,0,1,0,0,0,-1,0,1,0,0,0,0,0,
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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,-1,0,0,0,-1,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,
2,1,-1,-1,-1,-1,-1,1,1,0,0,0,2,0,0,0,-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,-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,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
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1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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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,-1,0,0,0,0,0,0,0,-2,-1,-1,0,3,1,0,1,-3,
1,0,-1,-1,0,0,0,1,-2,0,0,0,-1,0,0,0,0,0,1,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,
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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,-1,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,1,
0,1,-1,3,1,3,0,-2,-1,0,-1,1,1,0,0,0,0,-1,0,0,0,
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0,0,1,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
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2,1,1,-1,-1,0,0,-2,-2,0,1,0,1,-1,-1,0,0,-1,0,0,
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0,0,0,0,-2,0,0,0,0,1,-2,0,0,2,2,2,-1,1,1,2,0,
1,1,0,0,0,-1,-2,0,0,0,0,0,0,-2,0,1,0,0,0,0,0,
0,1,0,0,0,0,0,0,1,1,-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,-1,0,0,-1,0,0,-1,
-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,0,0,
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0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,1,0,-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,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,-1,1,2,1,1,-1,-4,1,-1,0,5,-1,0,2,2,0,-1,0,
-1,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,-1,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,
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0,0,0,1,0,0,0,-1,0,-1,0,0,0,0,0,-1,0,0,0,1,-1,
0,-2,0,-1,-1,0,0,0,-1,0,1,0,0,1,0,0,0,0,0,0,0,
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0,0,0,0,-2,-1,-1,0,1,-1,0,1,0,1,1,0,0,0,0,0,0,
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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,-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,
1,0,-1,0,1,0,1,1,0,1,1,1,0,1,-1,2,2,0,0,1,1,0,
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0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,-2,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,1,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,-1,-1,0,0,-1,0,0,1,0,0,0,0,-1,
0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,-1,0,-2,0,0,0,1,-1,0,0,0,
1,1,-2,1,-1,-2,0,0,-1,-1,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,
-1,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
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0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,1,-1,-1,
0,-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,-1,0,0,-1,0,0,0,0,0,0,0,0,
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0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
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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,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,1,1,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,
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1,-2,-1,-2,1,3,0,0,1,-2,2,0,0,0,0,2,0,2,0,0,0,
0,0,0,0,1,0,1,0,0,0,-1,0,0,1,0,0,0,0,0,0,1,0,
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0,0,-1,0,0,-1,0,-1,0,1,0,0,-1,0,0,0,0,0,0,0,0,
0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
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0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,
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0,-1,0,2,1,0,1,0,0,1,0,0,2,0,0,1,0,0,0,1,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
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0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
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0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
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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,-1,0,1,0,0,0,0,0,0,0,0,1,-1,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,-4,0,0,0,0,0,0,1,1,0,1,0,0,1,-2,1,0,
-1,-1,0,-1,0,0,-1,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,
0,-1,0,0,0,0,0,0,1,1,-1,0,1,1,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,1,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,
1,-1,0,-1,1,2,1,-1,-1,-1,0,0,-1,-1,0,0,0,0,-2,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,
0,-1,1,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,-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,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,-1,0,-1,-1,0,1,
2,1,0,2,3,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,-1,-1,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,2,0,0,
0,0,-1,2,0,-1,-1,-2,0,0,0,0,2,0,1,2,0,0,0,0,1,
0,0,0,1,0,0,1,0,-1,0,0,0,1,0,0,-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,-1,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
1,0,0,0,-1,0,0,0,-1,0,0,0,1,1,-3,-2,0,0,1,0,1,
0,-1,-1,0,-1,-2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,
0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,0,1,
-1,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,
-1,0,0,0,1,0,0,1,1,1,0,1,-1,1,-1,0,0,-1,-1,0,0,
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,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,-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,
0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,1,-2,-2,-1,
0,2,1,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,-1,0,0,0,
0,1,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,-1,0,-2,0,0,1,0,1,0,-1,-1,1,0,1,2,-1,0,2,1,0,
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,-1,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,-1,0,0,-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,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,
-1,-2,-1,1,-1,1,1,0,2,1,0,0,0,0,2,1,0,0,1,0,0,
0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,1,1,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,
0,1,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,
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,-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,-1,0,1,0,0,1,-1,0,0,-3,0,0,0,
-1,0,1,0,1,-1,0,0,0,0,0,0,1,0,-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,
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,-1,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,-1,0,0,0,2,
2,0,1,-1,0,-1,-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,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,-1,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,-1,0,-1,0,0,-1,-2,-1,1,-1,0,0,1,1,-2,-2,0,
-2,-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,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,-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,-1,0,0,1,0,0,1,0,0,-1,
1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
-1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,
-1,-1,-3,-1,0,1,1,1,1,1,2,0,-1,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,1,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,
0,0,0,0,0,-1,-1,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,-1,0,2,0,1,0,0,1,0,1,-1,1,0,-1,0,
1,0,1,0,2,2,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
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,
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,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,
0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,-1,0,1,0,
0,0,-1,-1,0,0,1,-2,0,-1,0,1,-1,2,0,1,1,0,1,0,0,
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
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,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,-1,-1,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,-1,-1,
1,0,1,0,-1,0,0,0,0,-1,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,
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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,1,1,1,1,0,1,0,-1,1,1,0,0,0,0,1,0,-1,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-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,-1,0,0,0,2,0,0,0,0,1,0,1,-1,1,0,-2,1,0,0,
0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-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,-1,0,0,-1,0,-1,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,
0,1,0,1,1,2,0,0,0,1,0,-2,0,0,0,0,-1,-2,-1,0,0,
-1,0,0,-2,0,0,0,0,0,-1,0,0,1,0,0,0,0,-1,0,0,0,
-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,1,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,1,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,-1,-1,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,-1,0,0,0,1,
0,1,1,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,-1,-1,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,-1,1,0,0,0,-1,
0,-1,0,2,-1,0,0,1,0,0,0,-1,1,0,0,0,1,0,0,1,0,-1,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,1,1,0,0,0,-1,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
-1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,
1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,
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,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,
0,0,0,0,0,-1,0,-1,0,-1,0,0,0,1,1,-1,0,0,0,0,0,
0,1,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,-1,-1,0,0,1,-1,
-2,-1,1,-1,0,-2,0,1,0,0,1,0,0,2,1,0,0,1,0,0,1,
0,-1,0,0,0,1,0,0,-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,-1,0,0,
0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,-2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
1,0,1,0,2,0,0,0,0,1,0,1,-1,0,0,1,2,2,0,2,3,0,
-1,0,-2,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,-1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-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,-1,0,1,0,0,-1,0,0,-2,1,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,-1,0,0,0,0,-1,-2,0,-1,0,0,0,1,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,1,0,1,-1,
-2,-2,1,0,1,-1,1,0,-1,0,0,-2,-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,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,1,1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,-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,-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,
0,0,1,0,0,0,-2,0,-1,0,1,1,-1,1,1,1,1,2,0,0,1,
-2,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,-1,0,0,-1,0,
-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,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,
0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,
1,0,0,-1,0,-2,1,-2,-3,-2,1,-1,1,0,0,0,0,0,-1,0,
-1,1,0,0,0,1,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,
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,-1,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,
0,0,-1,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-2,0,0,0,1,
0,0,0,0,-1,0,0,0,-1,0,0,0])>;

return _LR;
