//Standard generators of the Janko group J2 are a and b where a is in class 2B,
//b is in class 3B, ab has order 7 and ababb has order 12.
_LR := rec < recformat< F: GrpFP, AI: SeqEnum, G: GrpMat > |
      F := FreeGroup(2) >;
_LR`AI := [ [a^-1, b^-1] ] where a is (_LR`F).1 where b is (_LR`F).2;

//two constituents, interchanged by _LR`AI[1]
_LR`G :=
/*
Original group: c9Group("j2p")
Direct integral method
Schur index: 1
Character: ( 140, -20, -4, 14, 2, 4, 5, 5, 0, 0, -2, 2, 0, 0, 1, 1, 0, 0, -2, 
-1, -1 )
*/

MatrixGroup<140,IntegerRing() |
Matrix(140,140,\[0,1,0,0,-1,0,-1,1,-1,0,0,0,0,0,-1,
0,0,0,-1,0,1,0,1,1,0,0,0,0,-1,0,0,1,-1,0,0,1,
0,-1,0,0,0,0,1,0,-1,0,0,0,-1,0,-1,0,0,1,-1,0,0,
1,0,-1,0,0,0,0,0,-1,0,0,0,0,1,0,1,0,1,-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,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,
-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,-1,-1,0,0,0,0,0,
1,0,1,0,0,-1,0,1,0,0,-1,1,0,1,0,1,0,-1,0,0,1,
1,-1,0,0,0,0,0,0,1,0,0,-1,1,-1,0,1,0,-1,0,0,1,
0,0,0,-1,0,0,0,0,1,0,1,0,1,0,0,-1,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,-1,0,0,1,0,0,0,-2,0,0,0,0,0,0,0,
-1,0,0,0,1,1,0,0,0,0,0,-1,0,0,0,-1,1,1,0,0,0,1,
-1,0,-1,0,-1,0,1,1,0,-1,0,1,0,0,0,0,0,0,-1,0,0,
1,-1,1,0,-1,0,1,0,0,-1,0,0,0,1,0,0,0,0,-1,1,-1,
0,-1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,
0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,1,1,0,0,0,1,0,0,
0,0,-1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,1,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,-1,0,1,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,
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,-1,0,0,0,1,0,0,0,0,0,0,1,-1,0,-1,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,1,0,0,0,
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,-1,0,0,0,0,0,-1,0,0,0,-1,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,1,1,0,0,0,0,-1,0,0,0,0,1,-1,-1,-1,0,1,0,
-1,0,0,0,-1,0,-1,0,1,0,0,1,0,0,0,0,-1,1,0,0,0,
0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,-1,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,-1,0,0,1,0,1,-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,-1,0,0,0,0,1,0,0,0,-1,0,
0,1,0,0,0,0,0,-1,0,1,0,0,0,1,-1,-1,0,-1,1,0,0,
0,0,0,-1,0,0,-1,0,0,0,0,0,1,-1,-1,0,0,0,0,0,0,
0,0,0,0,-1,0,0,-1,0,0,1,0,0,0,0,0,0,-1,0,1,0,
0,0,1,0,0,0,0,-1,0,-1,0,0,0,0,0,-1,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,-1,1,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,
0,0,-1,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,-1,
1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,
-1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,
0,1,0,-1,0,0,0,0,-1,1,1,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,1,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,-1,0,0,1,1,1,0,0,0,0,0,-1,-1,0,-1,
0,1,0,-1,0,0,1,-1,0,-1,0,-1,0,1,0,0,0,-1,0,0,0,
0,0,0,0,-1,0,0,1,-1,1,0,-1,-1,0,0,0,-1,0,0,0,1,
0,0,0,0,-1,0,-1,0,-1,0,0,1,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,-1,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,-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,-1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,-1,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,1,
0,0,0,1,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,-1,
0,1,0,0,-1,1,0,1,0,0,1,0,1,0,0,1,1,0,-1,0,0,0,
1,1,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,1,0,-1,0,0,0,-1,0,0,0,1,1,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,-1,0,0,1,-1,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,-1,0,0,0,
0,0,0,2,1,0,1,0,-1,0,2,-1,0,-1,1,0,1,0,0,0,-1,
1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,-1,0,1,1,0,0,
0,1,-1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
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,-1,0,0,0,0,0,0,0,0,1,-1,0,0,0,
-1,0,0,0,1,-1,-1,0,0,0,-1,0,0,0,0,0,0,-1,-1,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,0,-1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,-1,-1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,
-1,-1,0,1,0,0,0,-1,0,0,0,-1,1,-1,0,0,0,0,0,0,1,
0,0,0,-1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,
1,0,0,0,1,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,-1,0,1,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
-1,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,-1,-1,0,1,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,-1,0,0,0,1,0,0,1,0,1,0,0,
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,
0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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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0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,
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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,
0,-1,0,0,0,0,0,-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,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,-1,-1,0,-1,1,0,0,0,0,
0,-1,0,1,0,0,0,0,-1,0,0,0,1,1,1,0,0,0,0,-1,0,1,
0,0,0,1,-1,0,0,0,0,0,1,1,0,-1,1,0,0,0,0,1,0,0,
-1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,-1,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,-1,1,0,0,0,
1,0,0,0,0,-1,1,0,0,0,0,0,1,1,0,0,0,0,-1,0,0,0,
0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,-1,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,
1,0,-1,0,0,1,0,-1,-1,0,0,0,0,0,1,0,0,0,0,0,-1,
0,-1,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,1,0,1,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,1,0,0,
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,-1,0,0,0,-1,1,1,0,0,-1,1,1,0,0,0,1,
0,-1,0,0,1,1,1,0,-1,0,0,0,0,0,-1,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,-1,0,
0,0,0,0,0,0,0,0,0,-1,0,0,-1,1,0,0,-1,0,2,0,0,
0,0,-1,0,-1,0,0,0,0,0,0,0,1,0,-1,0,1,1,0,0,0,
0,0,1,0,0,0,1,-1,0,0,0,0,0,-1,0,0,0,0,0,2,1,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,1,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,
1,0,0,0,0,0,1,0,1,0,1,0,-1,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,1,0,0,0,0,1,0,0,0,0,-1,0,1,0,0,-1,0,1,
1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,
0,1,0,0,0,-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,-1,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,-1,0,0,
-1,-1,0,0,0,-1,0,0,-1,0,0,0,1,0,0,0,1,-1,1,0,0,
0,0,-1,1,0,1,0,1,1,0,0,0,-1,0,0,0,0,1,0,0,0,0,
0,0,1,0,1,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,-1,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,-1,1,
0,0,1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,1,0,0,0,-2,-1,
0,0,0,1,1,-1,1,0,2,0,-2,0,1,-1,-1,-1,2,-1,1,0,
1,1,0,0,0,0,2,0,0,-1,0,0,0,2,1,0,0,-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,-1,
0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,1,0,0,0,-1,0,0,0,0,1,1,-1,-1,0,-1,0,0,
0,0,0,1,-1,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,
-1,0,0,0,0,-1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,-1,0,
1,0,-1,1,1,0,0,1,-1,0,0,-1,0,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,1,0,-1,1,
0,-1,-1,0,-1,-1,1,1,0,0,0,1,-1,0,0,-1,0,0,0,-1,
0,0,0,0,0,1,1,-1,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,1,0,0,0,0,0,0,-1,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,-1,0,
1,0,-1,-1,1,0,1,0,1,1,0,0,0,0,1,0,1,-1,0,0,0,
1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,-1,
-1,0,0,0,0,0,0,-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,-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,-1,-1,0,0,1,0,0,1,-1,1,0,0,1,0,0,
-2,0,0,-1,1,1,0,-1,0,1,-1,0,0,0,0,1,0,-1,0,0,0,
0,0,2,2,0,-2,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,0,
-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,-1,0,-2,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,-1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,
0,0,0,0,0,-1,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,-1,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,-1,0,0,1,0,0,0,0,-1,-1,0,1,1,0,0,0,0,0,0,-1,
-1,0,-1,-1,1,0,0,1,0,1,0,0,-1,0,0,0,1,1,0,0,-1,
0,-1,2,0,0,0,1,0,0,0,0,0,0,0,-1,-1,0,0,0,-1,0,
0,0,1,0,0,0,0,0,0,0,0,-1,1,0,1,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,
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,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,-1,0,0,-1,-1,0,0,0,0,1,-1,
0,0,-1,-1,1,0,1,0,0,0,1,0,-1,-1,1,1,0,-1,-2,0,
-1,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,
-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,-1,0,-1,0,0,1,0,0,0,0,0,0,-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,
0,1,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,-1,1,0,
0,-1,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,1,-1,0,0,-1,
0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,-1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
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,-1,0,0,0,0,0,0,1,1,0,1,0,0,0,
1,1,0,0,2,-1,0,-1,1,1,0,-2,1,2,-1,-1,-1,-1,1,2,
0,0,1,0,0,0,0,0,1,1,-2,0,0,0,-1,-1,0,-1,0,0,0,
0,1,0,0,-1,0,0,0,-1,0,0,0,0,0,0,-1,1,0,0,0,0,0,
0,0,1,0,1,0,1,0,1,-1,0,0,0,0,0,-1,1,-2,0,0,0,1,
0,0,-1,0,0,0,0,0,1,1,0,0,0,1,-1,-1,0,0,0,0,0,0,
-1,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,
1,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,2,1,0,0,
0,0,0,0,0,0,-1,0,1,0,-1,0,0,0,0,0,-1,1,0,0,0,
0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,
0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,-1,0,
1,-1,0,0,0,-1,-1,2,1,-1,0,0,1,1,0,0,0,0,0,0,0,
0,-1,1,0,1,-1,0,-1,0,-1,0,0,0,0,1,1,0,-1,0,0,0,
0,0,1,0,0,0,1,0,-1,1,0,0,0,0,0,1,0,0,0,1,0,-1,
0,0,-1,-1,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,
1,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,
-1,0,0,0,0,1,0,-1,2,0,0,-1,0,-1,1,0,1,0,-3,-2,
0,0,0,1,0,0,2,-1,1,0,-1,0,0,0,-1,-1,1,0,1,0,0,
1,0,0,0,-1,1,0,-1,0,0,0,0,2,1,-1,0,-1,0,-1,0,1,
0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,1,0,0,0,-1,0,
-1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,-1,0,0,0,0,
0,0,0,0,0,0,0,-1,-1,0,0,-1,1,0,1,0,0,0,0,0,1,
-1,-1,0,0,-1,0,0,0,0,-1,-1,0,0,0,0,0,-1,0,0,1,
0,0,-1,1,-1,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,1,0,0,0,0,0,0,-1,-1,0,0,-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,
0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,
1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,1,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,-1,1,-1,0,-1,-1,0,1,0,0,
0,0,0,0,0,0,-2,1,0,-1,0,0,0,0,0,-1,0,0,0,-1,0,
0,0,0,-1,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,1,1,
0,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,1,-1,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,
1,0,0,2,0,0,1,0,1,-1,0,0,0,1,0,-1,1,0,1,0,1,-1,
1,0,0,0,0,0,0,3,0,1,0,-1,0,0,0,2,0,1,-1,0,0,0,
1,2,0,0,-1,1,0,0,2,-1,0,-1,0,-1,0,0,0,0,1,0,0,
1,1,-1,1,0,0,1,0,0,0,-1,0,1,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,1,0,0,-1,1,0,0,0,0,0,0,0,0,-1,1,0,0,
1,0,1,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,
-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,-1,1,0,0,0,0,0,-1,0,0,2,0,-1,0,1,-1,-1,0,0,
-1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-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,
0,0,0,0,0,0,0,0,0,1,0,1,-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,
0,0,0,0,0,-1,0,0,0,1,0,-1,0,0,0,0,0,0,0,1,0,1,
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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,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,
-1,0,1,0,0,-1,-1,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,
0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,1,0,1,0,0,1,0,0,-1,0,-1,1,0,0,0,-1,
0,0,0,1,-1,0,0,-1,0,-1,0,0,0,1,0,-1,0,0,1,0,-1,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,-1,0,
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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,-1,1,0,0,1,-1,0,-1,-1,0,0,0,0,0,0,0,
0,0,-1,-1,-1,1,0,-1,0,1,1,-1,0,1,1,0,0,-1,0,0,0,
0,0,1,0,0,0,-1,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,-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,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,
0,0,0,0,0,1,0,0,0,0,0,-1,1,-1,0,0,-1,-1,0,1,0,
-1,0,0,1,0,0,0,1,0,0,0,0,0,-1,1,0,0,0,1,1,1,0,
-1,-1,1,0,1,0,1,1,0,0,1,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,
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0,0,-1,0,0,0,0,1,1,0,0,0,0,0,0,-1,0,1,0,0,-1,
0,0,0,0,0,0,1,-1,0,0,0,0,0,1,0,0,-1,0,0,0,0,
-1,0,0,0,1,0,0,0,0,1,-1,0,0,0,1,0,0,0,0,-1,-1,
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0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,2,1,0,0,0,
0,0,0,0,0,0,-1,0,0,-1,-1,0,0,0,1,0,0,0,0,1,-1,
0,-1,-1,1,0,0,0,0,1,0,-1,0,0,0,1,1,0,-1,0,1,-1,
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,
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,-1,0,0,-1,0,0,1,1,2,1,0,0,-1,-2,1,1,0,0,2,
0,1,1,-1,2,1,-3,1,2,-1,0,-2,0,3,1,0,0,0,0,0,0,
0,0,1,0,-1,-1,0,1,0,0,1,-1,-1,0,-1,0,1,0,0,0,
-1,1,0,-1,0,0,1,0,-1,0,-1,1,0,0,0,2,1,0,1,1,0,
0,0,0,-1,0,-2,0,0,0,0,0,-1,1,0,0,0,0,0,0,1,-1,
0,0,1,1,0,0,-1,0,0,0,1,0,0,0,-1,-1,0,0,0,-1,1,
0,1,-1,0,0,0,0,0,1,0,0,-1,1,0,1,0,0,0,1,0,0,1,
0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,-1,0,1,0,
0,1,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
-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,-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,-1,1,1,0,1,0,0,0,-1,0,1,0,0,0,0,
-1,0,1,0,0,0,0,0,1,-1,1,0,0,0,0,0,0,0,-1,0,0,
0,-1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,
0,0,0,0,0,0,0,-1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,
-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,-1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,1,1,-1,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,
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,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,
-1,1,0,0,0,1,1,0,0,0,0,0,-1,0,-1,-1,1,0,-1,2,1,
0,1,0,1,-1,-2,1,0,0,2,0,0,0,0,-1,1,0,0,0,0,0,
0,0,-1,-1,1,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,
2,1,-1,1,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,0,1,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,
1,-1,0,0,0,0,0,1,0,-1,0,0,0,0,1,1,0,0,-2,0,1,
0,0,0,0,0,0,1,0,2,1,1,1,0,0,0,-1,0,0,0,0,0,0,
0,0,0,-1,1,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,-1,0,1,0,
0,0,0,-1,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,1,-1,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
-1,-1,0,0,1,0,-1,0,0,0,0,0,0,0,1,0,1,-1,1,0,1,
0,0,0,0,-1,1,0,0,1,0,0,0,0,0,-1,0,1,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,-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,-1,0,0,0,0,0,1,0,1,0,-1,0,0,0,0,1,0,
-1,1,0,1,0,-1,0,1,0,1,0,-1,-1,0,0,-1,1,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,-2,1,1,0,0,0,0,-1,
0,1,1,1,0,0,0,0,0,0,0,0,0,0,-1,1,-1,1,0,0,-1,
-1,1,0,-1,0,1,1,0,0,-1,0,-1,0,0,0,0,0,0,1,0,0,
1,-1,0,0,0,0,-1,0,0,0,0,0,0,1,0,-1,2,0,0,0,0,
0,1,1,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,-1,1,1,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,1,1,0,
0,1,-1,-1,0,0,0,0,0,0,0,0,0,-2,1,0,0,0,0,0,-1,
0,-1,2,1,-1,-1,1,-1,0,0,-1,-1,2,0,-1,1,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,-1,1,0,1,-1,1,1,1,0,0,0,
0,0,0,0,1,0,0,2,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,
-1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,-1,1,1,0,0,0,0,
1,0,0,0,0,0,1,0,0,1,0,1,-1,0,1,-1,0,0,-1,0,0,
-1,0,0,0,-1,0,0,0,0,1,0,1,0,0,0,0,0,1,-1,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,1,-1,0,-1,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,-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,
0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,0,0,-1,1,0,0,0,0,-1,
2,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,1,0,-1,0,0,1,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,1,0,0,
0,0,0,1,0,1,0,0,0,-1,-1,0,0,0,-1,0,0,0,0,0,1,0,
0,-1,0,0,-1,0,0,1,0,0,0,-1,0,0,0,1,0,0,-1,0,0,
0,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,-1,0,0,0,0,0,-1,0,-1,0,0,0,0,1,0,0,0,0,0,
0,0,1,0,2,0,1,0,-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,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,-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,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,1,-1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,
0,1,0,0,0,0,-1,1,0,1,-1,0,0,0,0,0,0,0,0,1,0,0,
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2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
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1,0,0,0,0,-1,1,0,1,0,0,0,-1,0,1,0,0,-1,1,-1,0,
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1,0,0,1,0,1,0,0,0,-1,0,0,0,-1,0,0,0,0,1,0,-1,
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1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
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0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
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1,-1,0,0,0,-1,0,0,-1,0,-2,0,0,0,0,-1,0,0,1,0,1,
1,1,-1,1,0,1,0,1,1,0,0,0,-1,0,0,0,0,1,-1,0,0,0,
0,0,1,1,1,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,-1,0,0,1,0,0,
0,0,0,0,0,0,0,1,0,-1,0,0,1,0,0,1,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,1,
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1,0,1,0,1,0,1,1,0,0,1,1,0,0,0,0,0,-1,0,0,0,0,
0,0,0,1,-1,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,
0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,-1,
0,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,
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0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
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1,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
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1,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
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1,0,0,1,-1,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
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0,0,0,0,0,1,0,0,0,-1,0,0,1,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,-1,
0,1,0,1,0,0,0,0,1,1,0,0,-1,-1,0,0,-1,-1,-1,-1,
0,0,0,-1,1,-1,1,1,1,0,0,0,-1,0,-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,-1,-1,
-1,0,0,-2,-1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,
0,1,0,0,-1,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,-1,0,0,0,-1,
0,1,-1,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,
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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,
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0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,-1,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
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1,0,1,-1,0,1,0,1,0,0,2,0,1,-1,0,0,0,1,0,0,0,1,
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0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
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2,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,-1,0,0,0,1,0,
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1,0,0,0,0,0,0,0,1,-1,1,0,0,0,0,1,1,0,0,0,0,1,
0,-1,0,0,0,0,-1,0,0,0,0,0,0,1,1,-1,0,1,-1,0,0,
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0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,-1,1,0,0,0,0,0,1,0,0,0,0,1,-1,0,-1,1,-1,
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0,0,0,0,0,1,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,-2,-1,0,0,
0,-1,0,0,0,0,1,1,-1,0,-1,0,0,0,0,0,1,0,0,0,0,
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0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
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0,0,0,-1,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,-1,
1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,2,0,0,0,0,0,-1,
1,1,-1,-1,0,0,-1,-1,-1,0,1,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,
-1,-1,1,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,-1,
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,-1,1,0,1,-1,0,0,0,0,0,-2,1,1,0,0,
1,0,0,0,1,1,0,1,0,-1,-1,-1,1,0,1,1,0,0,2,-1,1,
0,0,0,-1,0,0,1,1,0,1,0,0,0,1,0,1,-1,0,0,-1,-2,
-1,0,1,0,-1,0,1,0,0,0,0,1,0,0,0,0,0,0,-1,0,-1,
1,1,1,0,2,1,0,0,-1,0,0,1,0,0,-1,0,0,0,0,0,-1,
0,-1,-1,0,0,-1,1,0,0,0,-1,0,-1,1,-1,1,0,0,0,1,
0,-1,-1,0,-1,0,0,1,-1,0,0,1,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-1,0,1,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,1,0,
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,
0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,1,0,0,0,0,0,0,
-1,0,0,-1,0,1,0,-1,0,0,1,-1,0,-1,0,0,0,0,-1,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,
-1,1,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,1,1,0,-1,
1,-1,1,0,0,0,-2,0,0,0,0,2,-1,1,0,0,1,0,0,1,1,
1,1,-1,1,1,2,0,0,-1,0,1,0,0,1,1,-1,0,0,0,0,1,
0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,2,1,0,0,0,0,
0,-1,0,0,2,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,
0,-1,0,0,1,0,-1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,
1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,-1,0,0,1,0,1,0,-1,0,0,1,0,0,0,0,0,0,0,
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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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1,1,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,1,
1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,
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1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,-1,
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1,1,0,1,0,2,0,0,0,0,2,0,-1,0,0,0,1,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,-2,0,-1,0,0,
0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,-1,-1,-1,1,
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1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
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1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
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1,0,1,1,0,0,-1,0,0,0,-1,0,0,1,0,1,0,1,0,0,0,-1,
0,0,0,0,0,0,0,-1,0,0,0,0,-1,0,1,0,0,0,1,0,0,0,
1,0,-1,0,0,0,0,0,-1,0,1,-1,0,-1,0,0,0,0,0,0,0,
1,-1,-1,0,-1,0,1,1,1,-2,0,0,-1,-1,1,1,-1,0,-1,0,
1,-1,-2,0,-1,0,0,0,-2,0,-2,1,1,0,0,0,1,0,-1,1,0,
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0,0,0,-1,-1,0,0,-1,-1,0,0,1,0,0,0,1,0,1,0,0,0,
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1,0,0,1,1,0,-1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,
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0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,
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1,0,0,0,0,0,1,-2,2,-2,0,1,1,0,-2,0,0,0,-1,0,0,
0,0,-1,0,-1,0,0,0,-1,-1,0,0,0,0,0,0,-1,0,0,0,0,
0,1,0,0,0,0,0,1,-1,-1,0,-1,0,0,-3,-1,0,0,0,0,-1,
0,0,0,0,1,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,
1,0,1,-1,0,-1,0,0,0,-1,0,0,1,0,0,0,0,0,-1,0,0,
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0,0,1,1,0,1,0,-1,2,-1,0,1,1,0,0,0,0,1,0,-1,2,
1,-1,0,0,-1,0,0,0,0,0,0,0,0,0,-2,0,0,-1,0,0,0,
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0,0,-1,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
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1,1,0,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,-1,0,1,0,0,1,1,1,0,0,0,0,0,-1,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,
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0,0,0,0,1,1,1,0,1,-1,-1,1,0,1,0,0,0,0,0,-2,0,1,
1,0,0,0,0,-1,-1,0,1,0,-1,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,-1,0,
1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,1,0,1,1,2,0,0,0,0,0,0,2,-2,0,0,0,-1,0,0,0,0,
-1,0,0,0,0,0,0,1,0,0,0,0,0,-1,1,-1,1,0,2,1,0,
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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,
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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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,-1,0,-1,0,0,0,0,1,0,0,-1,0,0,0,0,0,-1,-1,0,0,
-1,0,0,0,0,0,0,0,-1,-1,0,-1,1,0,0,0,0,-1,0,0,0,
0,0,0,-1,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,
-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,1,-1,0,0,0,-1,0,0,0,0,
2,0,0,0,0,1,0,-1,-1,-1,-3,0,1,-1,-1,0,0,2,0,-1,
-3,1,0,0,1,-1,0,0,-2,0,-1,0,1,0,0,-1,-1,0,0,0,
0,1,0,-2,0,0,0,0,0,0,0,0,0,-1,0,1,0,1,0,-1,0,
0,-2,0,0,0,1,0,-1,0,0,0,-1,-2,1,0,1,-1,0,0,1,0,
0,-1,0,0,0,0,-1,1,0,0,0,1,-1,0,1,0,0,-1,0,-1,0,
1,0,0,-2,1,0,1,0,0,0,0,0,0,0,0,0,-1,1,0,-1,-1,
0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,-1,1,0,0,-1,
0,-1,0,0,0,0,1,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,
2,0,0,0,0,0,0,2,1,0,0,0,0,0,0,-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,
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0,0,0,0,-1,1,0,0,0,0,0,-1,0,-1,1,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,-1,1,0,0,
0,0,0,1,0,0,0,-1,0,0,0,-1,0,0,-1,-1,0,0,-2,-1,0,
0,1,0,0,1,1,0,0,0,0,-1,0,-1,1,0,0,0,1,1,0,0,0,
0,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,-1,
-1,-1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,
0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
-1,0,0,0,0,0,0,0,0,1,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,1,1,0,
0,0,0,-1,2,0,0,-1,0,-1,0,1,0,0,-1,1,1,0,0,0,-1,
-1,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,
0,0,2,0,0,0,0,0,0,-1,-1,1,0,-1,1,0,0,1,0,0,-1,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
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,-1,0,0,0,0,1,1,-1,1,0,
0,-1,0,0,0,-1,1,0,-1,0,0,-1,-2,1,-1,-1,1,1,1,1,
-1,0,0,0,1,-1,0,0,0,1,0,0,-1,0,1,-1,0,-1,2,0,0,
0,0,-1,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
1,0,0,1,0,0,1,-1,0,0,0,-1,0,0,0,0,-1,1,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,1,1,-1,0,0,1,0,0,0,0,1,-1,0,0,
0,0,-1,0,0,-1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,-1,0,-1,0,0,0,0,0,0,0,0,1,-1,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-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,-1,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,
1,0,1,1,0,0,1,-1,-1,0,0,0,1,1,0,1,-1,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,
0,0,1,1,1,1,0,-1,0,0,1,-1,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,
0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,
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0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,-1,0,0,0,-1,0,
0,0,1,0,0,0,0,-1,0,-1,0,-1,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-2,0,0,1,0,1,1,0,
0,-1,0,1,0,0,0,-1,0,1,1,0,0,0,-2,1,0,0,0,-1,1,
0,1,0,1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,-1,
0,0,0,2,0,0,0,0,1,0,0,0,-1,0,0,-1,0,1,0,0,0,1,
1,1,0,0,-1,0,-1,0,-1,0,0,-1,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,-1,0,
0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,1,0,0,
0,0,1,1,0,0,0,0,-1,1,0,-1,1,-1,1,0,0,0,0,0,0,
0,1,2,1,1,1,2,0,1,-1,0,-1,2,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,1,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,1,0,
1,0,0,0,0,0,0,-1,0,-1,1,0,0,0,0,0,0,0,-1,0,0,
1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,-1,0,0,1,0,0,0,0,0,0,1,0,0,0,
0,0,1,0,0,1,1,0,0,0,0,0,1,-1,0,0,0,-1,-1,-1,0,
-1,1,2,-1,0,0,-1,-1,0,-2,-1,1,0,1,2,-1,-1,0,0,1,
-2,0,-2,0,-1,0,0,-1,0,0,-1,0,-1,1,0,0,0,0,-1,-1,
0,0,-1,0,0,-1,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,
0,0,-1,-1,-1,0,0,0,0,0,-1,0,0,0,1,-1,0,-1,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,0,2,-1,0,0,0,0,1,1,0,0,0,-1,-1,0,0,0,
0,0,0,3,1,0,0,0,-1,1,0,0,0,-2,1,1,1,0,1,0,-1,
0,0,0,1,1,1,-1,-1,0,0,0,1,0,0,0,0,0,-1,2,1,0,
0,0,1,0,0,0,-1,0,0,0,-1,1,0,1,0,1,1,1,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,-1,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,1,-1,1,-1,0,0,0,1,0,0,0,0,0,1,0,0,0,-1,0,0,
-1,-1,-1,-1,1,0,0,-1,0,0,1,1,0,0,0,1,-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,-1,0,0,0,0,-1,-1,0,0,1,0,0,0,1,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,1,0,1,0,0,-1,0,0,1,0,0,0,-1,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,-2,-1,0,1,0,0,-1,0,0,0,
2,-1,0,0,0,-1,1,-1,0,0,-2,0,0,-1,-2,0,0,2,0,-1,
-3,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,-2,0,0,0,0,0,0,0,0,-2,-1,0,0,0,0,0,1,0,0,
-2,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,-1,1,0,0,1,0,
0,-1,0,0,1,0,0,0,-1,0,0,0,0,0,-1,0,0,-1,0,0,0,
1,0,-1,0,-1,2,0,0,1,1,1,0,0,0,0,0,1,0,0,2,0,0,
0,0,1,-1,-1,1,0,0,0,-1,0,0,3,0,1,0,1,1,0,0,1,
1,0,0,0,0,0,1,0,-1,0,0,0,1,0,1,0,0,0,0,0,-1,0,
0,2,1,0,-1,1,0,1,0,0,0,3,0,0,0,1,-1,1,0,0,0,0,
-1,0,-1,0,0,0,0,0,0,0,-1,-1,1,0,0,0,0,0,-1,0,0,
0,0,1,0,1,0,0,0,0,-1,0,0,1,-1,-1,1,1,0,0,1,0,0,
0,0,0,-1,0,0,0,-1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,1,0,0,0,-1,0,0,0,1,1,0,1,1,1,0,0,0,0,-1,
1,0,1,0,-1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,
0,0,-1,0,0,0,0,0,-1,1,0,0,-1,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,1,0,0,0,0,0,-1,0,0,0,1,1,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,0,0,1,0,0,0,0,0,-1,1,0,0,0,0,0,-1,0,
0,-1,-1,0,2,-1,0,0,0,-1,0,0,-1,-2,-1,0,0,0,0,0,
1,0,0,0,0,0,0,0,-1,0,0,0,-1,-1,0,0,0,0,0,0,2,
0,0,0,0,0,0,0,0,0,0,0,0,-1,-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,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,-1,0,
1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,-1,0,1,
-1,0,0,-1,1,-1,-1,0,-1,1,2,0,1,0,0,-1,-1,-1,-2,
1,-2,0,2,-1,-2,2,0,0,-1,-1,0,-1,0,0,0,-1,0,1,-1,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,-1,
0,-1,0,0,0,0,1,0,2,0,0,-1,0,0,1,0,0,1,0,1,0,0,
-1,-1,-1,-1,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,-1,0,
0,0,0,-1,0,0,0,0,-1,0,1,0,0,0,0,-1,0,0,1,0,-1,
0,0,0,0,0,-1,0,0,-1,0,-1,0,0,0,1,0,-2,2,0,0,1,
1,1,-1,0,0,1,0,0,0,-1,0,-1,-1,-1,0,1,0,-1,1,0,
1,-1,-1,-2,-1,1,1,1,0,0,0,0,0,-3,2,-2,1,0,0,0,
0,0,-2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,-1,1,
2,0,2,0,0,3,1,0,0,-1,0,0,0,0,0,-2,-1,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,-1,0,0,-2,-1,0,0,0,1,-1,1,
0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,1,-1,-1,0,-1,0,0,0,0,-1,0,0,
-1,0,0,1,0,-1,0,0,0,0,1,0,2,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,-1,0,0,0,0,0,1,1,0,1,0,0,-1,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,-1,0,0,0,1,-1,0,1,0,0,0,0,0,0,-1,0,1,-1,
0,0,0,1,0,0,-1,0,0,0,0,0,0,0,1,-1,0,1,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,-1,0,1,0,1,0,0,0,0,0,0,
0,0,0,-1,0,0,0,1,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,-1,1,
1,0,0,0,0,0,0,0,-1,0,-1,1,0,-1,-1,0,0,0,0,0,0,
0,0,0,0,-1,0,1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,-1,0,0,0,0,1,
0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,-1,-1,0,0,0,1,1,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-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,-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,-1,0,0,1,1,0,0,0,0,0,0,1,0,0,-1,0,0,-1,-1,
0,0,1,1,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,0,0,0,-1,0,0,-1,0,
0,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,-1,-1,0,0,0,0,
0,0,0,0,1,0,-2,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,-1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,
0,-1,1,0,1,0,0,0,0,1,0,1,0,-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,-1,0,0,1,0,
0,0,0,0,0,0,0,0,0,1,0,0])>;

return _LR;
