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1,0,5,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,22,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,4,3,0,0,0,3,0,0,0,0,0,0,3,0,1,0,6,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0
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1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,11,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,4,0,0,0,6,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,5,8,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,7,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,6,7,88,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,5,7,0,0,0,1,0,1,0,0,0,0,2,0,0,0,12,1,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0
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1,4,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,1,1,2,0,0,0,0,0,0,18,0,0,1,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,1,2,0,1,0,1,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,15,6,0,0,8,0,2,0,0,0,0,0,6,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,6,0,1,8,7,0,0,0,6,0,1,3,0,0,0,9,0,0,0,16,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,3,0,0,0,1,0,0,0,0,1,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,2,10,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,12,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,11,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,3,49,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0,0,5,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,8,0,1,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,12,0,0,0,0,0,0,0,0,0,1,0,43,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,4,11,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,2,0,0,35,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,3,4,0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,2,0,12,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,9,3,54,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,9,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,5,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,1,2,0,0,0,0,0,0,0,17,0,0,0,0,0,0,2,0,0,2,0,26,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,5,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,13,4,34,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,3,0,0,22,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,12,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,0
0,2,2,0,0,0,0,0,0,0,12,0,0,0,0,0,0,1,0,0,1,0,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,4,2,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,1,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,11,3,50,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,10,0,0,0,0,0,15,0,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,10,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,4,0,1,0,0,0,0,0,7,0,0,0,0,0,0,1,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,1,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,10,4,38,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,8,2,0,0,0,0,17,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
2,5,7,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,3,0,2,0,0,0,1,0,1,0,0,6,0,0,2,1,0,0,0,0,0,0,7,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,4,8,63,6,0,0,8,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,2,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,2,2,0,2,5,2,0,0,1,2,0,0,0,0,0,0,5,0,1,0,18,5,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0
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0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,14,1,51,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,6,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0
1,2,0,1,0,0,0,0,0,0,7,0,0,0,0,0,0,1,0,0,0,0,33,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,8,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,9,4,29,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,11,1,0,1,0,0,43,0,0,0,0,3,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,9,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,2,2,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,0
0,5,3,1,0,0,0,0,0,0,11,0,0,0,0,0,0,3,0,0,2,0,28,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,3,0,0,2,0,1,0,0,1,0,1,0,0,0,0,12,8,66,0,2,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,2,2,1,0,0,0,5,0,0,0,0,0,0,3,0,0,0,10,0,0,0,6,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0
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0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,1,0,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,26,3,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,3,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0
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1,0,5,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,4,55,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,3,1,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,6,0,0,0,4,0,0,0,0,0,0,1,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,4,3,9,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,12,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0
1,1,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,4,19,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,2,0,0,0,4,0,0,0,0,0,0,1,0,0,0,8,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
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1,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,4,17,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
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0,2,0,0,1,0,1,0,0,0,4,1,0,0,0,0,0,0,0,0,1,1,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,4,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0,0,0,0,15,2,83,3,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,5,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,2,0,1,0,14,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,4,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,13,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,8,2,58,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,3,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0
0,1,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,8,5,30,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,5,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,7,1,27,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,2,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,1,0,29,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,7,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,6,41,0,2,1,0,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,1,0,0,0,3,0,0,0,0,0,0,3,0,0,0,5,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
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0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,0,0,6,3,48,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,8,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,0,0,0,0
0,2,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,6,2,87,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,0,5,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,8,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,30,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,2,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,4,12,2,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,2,0,0,1,0,0,2,0,20,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,9,0,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,6,56,4,1,0,7,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,0,0,0,0,0,5,0,0,0,1,0,2,1,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,1,0,3,0,0,0,1,0,2,2,0,0,0,6,0,0,0,8,5,0,0,1,0,1,0,0,1,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0
0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,3,59,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,7,0,0,0,1,0,0,0,0,0,0,0,6,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0
1,2,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,1,1,2,3,0,1,0,0,20,0,0,1,0,0,0,0,0,0,0,3,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,6,136,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,1,1,0,0,0,3,0,0,0,0,0,0,2,0,0,0,5,5,0,0,6,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,13,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,2,57,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0
0,4,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,16,1,52,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,5,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,15,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,2,68,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,54,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,3,2,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,1,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,5,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,8,4,97,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,3,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,6,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0
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2,0,10,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,4,0,0,1,0,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,6,0,0,1,0,1,2,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,8,7,155,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,6,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,5,1,0,0,18,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,1,0,0,2,0,43,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,4,3,29,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,10,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,3,0,0,0,0,0,0,1
1,0,10,0,1,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,1,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,3,0,0,5,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,6,0,1,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,0,0,1,0,0,0,0,0,0,0,0,0,18,1,77,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,5,0,0,0,0,0,0,0
1,3,9,0,0,0,0,0,0,4,0,1,0,0,1,0,0,0,0,0,0,0,6,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,17,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,5,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,5,3,88,7,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,7,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,6,5,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,1,0,0
0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,37,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,5,29,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,1,0,0,0,0,12,0,0,0,1,1,0,0,0,0,0,0,4,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,4,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,9,1,59,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,1,0,0,7,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,0,6,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,8,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,7,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,4,3,105,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0
0,0,8,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,2,0,0,0,0,0,0,0,0,0,0,0,14,1,87,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,0,3,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,10,0,1,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,4,0,0,0,0,5,0,0,0,0,0,0,0,0,0,24,6,186,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,12,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,17,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,15,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,6,0,1,0,0,0,0,0
0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,7,1,89,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0
0,0,4,0,1,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,1,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,12,5,125,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,9,0,0,0,0,0,8,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,2,0,2,1,0,0,0,0,0,1,0,9,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,7,0,0,0,0,0,0,0
0,1,7,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,3,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,9,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,17,1,146,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,10,0,0,1,0,0,7,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,7,0,6,0,4,0,1,0,0,0
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0,1,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,2,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,6,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,1,90,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0
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1,2,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,1,0,21,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,1,0,0,0,16,1,107,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,3,0,0,14,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,5,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,5,4,40,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,1,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0
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0,1,9,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,3,59,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,7,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,18,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,1,0,0,0
1,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,1,59,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
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1,0,1,0,0,0,0,0,0,0,7,0,0,1,0,0,0,0,0,1,1,0,50,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,2,0,0,1,6,0,1,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,11,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,1,43,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,12,0,0,1,0,0,36,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,1,0,1,0,10,0,0,0,0,0,0,0
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1,1,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,9,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0
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1,5,2,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,3,0,0,13,0,0,2,0,0,1,0,0,0,0,9,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,7,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,3,2,0,1,0,0,1,0,0,0,0,6,16,8,0,0,5,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,2,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,8,1,0,1,0,5,1,0,1,0,0,0,6,1,0,0,9,9,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0
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0,1,11,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,3,2,0,0,1,0,0,0,0,1,2,0,46,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,20,0,0,0,4,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,6,0,0,0,0,0,0,0,0,0,3,2,32,10,0,0,19,0,0,0,0,2,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,5,0,0,3,1,0,1,0,3,0,1,2,0,0,0,9,0,0,0,19,6,0,0,3,0,0,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0
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2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,15,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,7,0,0,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,1,0,0,19,0,0,0,3,0,0,1,0,0,2,0,0,0,0,4,0,0,0,1,5,0,0,0,0,0,0,0,0,0,0,3,41,9,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,2,1,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,3,1,0,0,0,0,0,0,0,0,0,0,8,0,0,0,23,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
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1,2,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,75,5,5,0,15,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,1,3,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,0,6,0,0,2,0,0,3,2,2,0,0,1,0,0,0,1,0,2,0,0,0,1,0,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0,0
1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,22,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,1,0,0,1,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,6,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,10,2,0,1,3,0,0,0,6,0,0,0,6,0,0,5,0,1,0,0,0,0,0,2,0,0,0,0,7,0,0,1,0,0,0,0,0,0,3,1,54,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,4,0,0,0,0,0,0,1,0,0,0,15,1,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0
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0,0,13,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,17,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,7,1,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0
0,3,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,1,0,0,0,13,1,0,0,6,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,53,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,2,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,2,0,1,0,15,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,7,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,2,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,13,1,0,0,0,1,0,0,8,0,0,0,0,0,0,0,56,0,0,0,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,21,10,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,9,0,0,1,0,0,0,1,0,1,0,14,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,5,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,4,1,0,0,0,0,0,0,0,3,0,14,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,6,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,2,1,0,0,0,2,0,0,0,7,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,9,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,1,0,0,1,0,0,0,14,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,2,0,0,0,5,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
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2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,8,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,24,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,2,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1
0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,1,0,0,0,0,0,0,0,0,1,0,8,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,1,0,0,3,0,0,1,1,1,0,0,31,0,0,0,5,0,5,1,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,4,6,0,0,6,0,0,2,0,0,0,0,2,0,0,0,2,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,8,0,0,3,3,1,3,0,2,0,0,0,0,0,0,10,0,0,0,11,2,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,4,0,0,0,0,7,0,0,63,0,0,0,5,1,0,0,7,0,0,0,10,0,0,0,0,0,4,0,1,0,0,0,1,0,0,3,2,0,0,0,2,0,0,0,0,0,0,1,0,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,6,2,0,0,0,0,5,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,8,0,0,0,1,0,0,2,0,0,0,26,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,10,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,6,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,3,2,0,2,0,2,0,0,0,0,0,0,10,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,0,0,0,18,0,0,1,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,7,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,10,82,5,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,3,3,0,0,0,0,0,0,0,0,0,1,1,0,0,0,8,8,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,15,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,71,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
4,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,4,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,22,6,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,3,0,0,0,1,2,0,7,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,5,2,0,0,3,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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3,4,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,5,1,0,0,1,0,0,0,1,0,0,16,0,0,0,0,0,0,0,0,0,1,8,0,0,0,0,0,0,1,3,0,0,4,0,0,0,0,12,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,1,0,0,0,2,20,12,0,1,21,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,5,1,0,0,0,9,0,0,2,1,0,0,3,0,0,0,9,7,0,0,2,0,0,0,0,0,0,2,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
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1,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,8,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,8,0,0,0,12,0,0,0,3,0,1,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,1,0,0,0,0,10,10,123,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,4,0,2,0,0,0,0,2,0,1,0,18,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,9,1,1,0,0,0,0,0
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3,0,1,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,1,1,53,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,11,0,3,0,21,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,1,0,0,0,0,0,7,4,52,4,1,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,48,0,0,0,0,0,18,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,2,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,8,0,0,1,0,0,0,0
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0,1,6,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,1,0,9,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,2,0,1,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,37,5,123,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,0,0,2,0,0,2,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0
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0,2,10,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,17,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,4,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,10,0,0,0,7,0,0,0,3,0,0,0,3,0,0,1,0,0,0,0,0,0,0,8,0,0,1,0,4,0,0,0,0,0,0,0,0,0,15,3,79,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,16,0,0,0,0,0,9,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,19,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,6,0,1,0,0,0,0,0
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2,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,6,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,2,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,13,14,138,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,1,0,0,0
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0,0,3,0,0,0,1,0,0,0,7,0,0,0,0,0,0,0,0,0,2,1,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,3,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,8,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,7,0,0,0,0,1,0,0,0,0,0,0,0,0,0,15,8,149,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,1,0,0,8,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,15,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,12,0,1,0,1,0,0,0
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0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,2,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,3,0,0,0,1,0,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,12,0,0,0,2,4,1,0,1,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,27,5,119,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,12,0,0,5,0,0,8,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,2,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,22,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,10,0,0,0,0,0,0,0
0,1,7,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,1,0,1,1,0,14,0,0,7,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,9,0,1,0,4,1,0,0,0,0,0,1,0,0,0,0,0,0,0,9,0,0,0,0,1,0,0,0,0,0,0,0,1,0,39,8,190,2,3,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,12,0,0,1,0,0,11,0,1,0,0,2,0,0,0,0,0,0,10,0,0,0,5,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,0,2,2,0,0,0,3,0,1,0,0,0,0,2,0,0,0,18,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,9,0,0,0,0,0,0,0
0,1,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,6,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,4,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,12,3,113,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,10,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,6,0,0,1,0,0,0,0
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0,0,0,0,1,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,16,3,25,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,5,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,0,8,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,15,0,0,0,2,0,1,0,0,0,0,1,5,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,3,0,0,0,0,0,0,1,0,0,0,3,8,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,1,0,0,11,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,7,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,21,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,13,0,0,1,0,1,0,0
1,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,2,66,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0
1,0,3,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,1,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,6,0,1,0,0,0,1,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,11,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,12,5,111,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,23,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,1,1,1,0,0,0
0,3,2,0,0,0,0,0,0,0,5,0,0,0,0,0,0,1,0,0,1,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,2,90,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,8,0,0,0,0,0,6,0,0,0,0,1,0,0,0,0,0,0,14,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,1,0,0,0,0,0
0,1,4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,5,0,0,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,1,0,0,4,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,1,0,0,0,0,14,8,73,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,21,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,3,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,2,0,0,0,9,0,1,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,3,0,39,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,7,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,0,0,9,4,34,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,13,0,0,0,0,0,11,0,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,5,0,9,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,15,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,12,1,58,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,18,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,9,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0
0,0,6,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,3,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,4,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,5,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,2,119,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,25,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,0,0,0,0,1,0,12,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0,7,0,0,1,0,0,0,0,0,1,1,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,4,93,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,12,0,0,0,0,0,8,0,0,0,0,1,0,0,0,0,0,1,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,0,4,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,3,0,42,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,14,0,1,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,3,69,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,5,0,0,1,0,0,0,2,0,0,0,21,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,0,0
0,0,4,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,2,2,0,23,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,16,0,0,0,18,0,0,0,0,0,1,1,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,9,2,79,4,1,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,15,0,0,0,0,0,21,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,5,0,0,0,0,0,1,0,0,1,0,28,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,0
0,2,1,0,0,0,1,0,0,0,3,1,0,0,0,0,0,0,0,0,3,0,45,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,2,0,0,12,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,27,0,0,0,16,0,1,0,5,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,5,0,0,0,1,0,0,0,0,0,6,5,72,5,2,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,0,19,0,0,0,0,0,22,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,5,0,2,0,22,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,10,0,3,0,0,0,0,0
0,1,8,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,3,0,1,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,11,0,0,0,5,1,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,3,103,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,12,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,1,0,0,0
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0,1,1,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,1,2,32,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,4,0,0,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,9,0,0,0,1,1,1,0,4,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,14,4,60,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,40,0,0,1,0,0,15,0,0,0,3,0,0,0,0,0,0,0,12,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,1,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,17,0,0,0,0,0,0,0
0,0,5,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,28,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,13,3,63,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,23,0,0,1,0,0,16,0,0,0,1,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,10,0,0,1,1,0,0,0
0,2,3,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,3,0,35,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,2,0,1,0,0,0,0,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,0,0,0,5,0,0,0,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,6,4,78,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,0,0,2,0,0,13,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,21,0,0,2,0,0,0,0
0,0,1,0,0,0,0,0,0,1,8,0,0,0,0,0,0,1,0,0,2,1,52,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,9,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,12,0,107,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,20,0,0,0,0,0,22,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,8,0,0,0,0,0,0,1
1,2,2,0,0,0,2,0,0,0,5,0,0,0,0,0,1,0,0,0,0,1,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,4,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,12,0,0,0,18,1,0,0,1,0,1,0,3,0,0,2,0,0,1,0,0,0,0,0,0,0,3,0,6,0,0,0,0,0,0,0,0,0,5,1,78,11,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,18,0,0,0,0,0,5,0,0,0,1,1,0,0,0,0,0,0,20,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,4,0,0,0,0,0,3,2,1,0,0,16,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,0,0,0,0
0,2,2,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,8,0,0,0,0,1,0,0,18,0,0,0,1,0,0,0,7,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0
0,2,3,0,0,0,0,0,0,0,11,0,0,0,0,0,1,0,0,0,0,0,55,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,2,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,6,1,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,6,0,0,0,0,1,0,0,0,0,0,0,0,0,0,10,4,58,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,20,0,0,1,0,0,30,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,8,0,0,0,0,0,0,0
0,2,6,0,0,0,0,0,0,0,5,0,0,0,0,0,0,5,0,0,1,0,44,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,2,0,0,0,3,0,1,0,0,7,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,13,0,0,0,13,2,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0,0,0,0,10,2,83,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,42,0,0,2,0,0,17,0,0,0,0,0,0,0,1,0,0,0,19,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,6,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,14,0,1,1,0,0,0,0
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0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,22,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,8,0,44,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,23,0,0,3,0,0,22,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,1,5,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,35,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,23,0,0,0,4,0,0,0,1,0,5,0,8,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,7,0,0,0,0,0,0,0,0,0,2,4,42,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,9,0,0,0,0,0,11,0,0,0,1,1,0,0,0,0,0,0,9,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,6,0,1,0,2,0,0,2,0,0,0,19,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0
1,3,1,0,0,0,1,0,0,0,9,0,0,0,0,0,0,0,0,0,0,1,32,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,6,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,32,0,0,0,9,0,0,0,5,0,0,0,3,0,0,3,0,0,0,0,0,0,0,1,0,0,1,0,5,0,0,0,0,0,0,0,0,0,4,2,92,12,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,29,0,0,1,0,0,12,0,0,0,0,3,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,3,0,1,0,15,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,1,0,28,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,2,0,0,0,0,6,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,8,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,0,0,0,14,1,59,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,15,0,0,2,0,0,25,0,0,0,0,1,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,4,0,0,0,0,0,0,0
1,3,2,0,0,0,4,0,0,0,7,0,1,0,0,0,0,1,0,0,1,1,16,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,3,1,0,0,0,7,0,0,13,1,0,0,3,0,0,0,7,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,34,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,7,0,0,1,0,0,11,0,0,0,1,2,0,0,0,0,0,0,10,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,3,0,1,0,0,1,1,1,0,0,0,5,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,2,0,49,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,9,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,14,0,0,0,0,4,0,0,0,0,1,0,0,0,0,4,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,49,0,0,2,0,0,44,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,12,0,1,4,0,0,0,0
0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,2,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,14,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,52,6,147,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,0,0,1,0,0,6,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,11,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,5,1,0,0,0,0,0,0,0,0,3,0,18,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,0,2,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,10,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,3,79,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,8,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,1,0,0,0
1,1,2,0,0,0,0,0,0,0,7,0,0,1,0,0,0,1,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,2,0,0,0,5,0,0,0,1,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,8,0,0,0,0,0,0,0,0,0,0,0,13,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,8,0,0,1,0,0,8,0,0,0,2,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,1,0,1,1,0,0,4,0,0,1,0,0,0,0
0,0,0,0,0,0,1,0,0,0,15,0,0,0,0,0,0,0,0,0,3,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,0,0,0,8,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,7,0,1,0,0,1,0,0,0,0,0,1,11,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,0,0,0,0,0,18,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,4,0,0,0,1,0,0,1,0,1,0,10,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0
0,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,4,0,2,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,9,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,2,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,3,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,2,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,6,0,78,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,13,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,1,0,0,0
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0,1,8,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,31,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,9,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,5,2,103,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,20,0,0,0,1,0,0,0,0,0,0,0,23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,8,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,11,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,1,0,0,2,3,16,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,11,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,1,0,0,0,0,2,1,21,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,10,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,1,0,0,0,0,1,0,0,4,1,0,1,0,0,0,0
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,2,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,5,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,2,1,8,0,1,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,6,0,0,5,1,0,0,0,0,0,0,14,0,0,0,0,1,0,0,16,0,0,0,2,0,0,0,13,1,0,0,11,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,8,0,0,0,0,0,0,0,0,0,2,2,14,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,3,0,3,0,0,1,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,5,0,0,1,0,0,0,2,0,0,4,7,2,0,0,5,0,1,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,3,1,1,0,1,1,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,52,10,2,1,8,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,4,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,6,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,6,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,2,3,0,1,0,2,0,0,0,0,1,0,8,0,0,0,0,0,0,1,0,0,0,6,0,0,0,0,3,0,0,7,1,0,0,2,0,0,0,12,0,3,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,8,0,0,14,0,0,0,0,0,1,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,9,0,0,6,3,1,0,0,5,0,1,0,0,0,0,4,0,0,0,15,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0
0,1,3,0,0,0,3,0,0,0,2,0,0,0,0,1,0,0,0,0,0,3,27,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,11,0,0,3,0,0,0,0,0,0,0,4,1,0,0,0,3,0,0,22,1,0,0,8,1,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,3,0,0,0,0,0,0,0,0,0,1,2,58,15,0,1,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,6,2,0,0,0,0,12,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,8,1,0,0,0,0,0,0,5,0,0,0,0,0,0,7,0,0,0,31,2,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,0,0,2,0,0,0,0,0,2,0,0,0
0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,11,0,0,0,1,0,0,0,15,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,7,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,10,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,5,2,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,28,0,0,0,0,0,0,0,17,3,0,0,7,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,9,5,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,5,0,0,0,22,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0
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1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,26,0,0,0,3,0,0,0,29,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,2,2,0,0,1,0,0,0,0,0,0,0,1,5,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,35,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,10,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,6,0,1,0,11,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,4,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,3,1,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,4,20,1,0,1,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,2,0,1,0,0,0,0,4,0,0,0,6,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,10,0,2,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,4,0,0,0,0,0,0,0,3,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,2,1,0,1,1,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,6,0,0,0,0,0,0,0,1,0,0,21,0,0,0,0,3,0,0,4,1,0,1,0,1,0,0,25,0,1,0,0,0,1,1,0,0,4,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,1,3,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,2,0,0,1,2,0,0,1,2,0,0,0,13,0,2,0,11,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
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0,3,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,15,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,1,0,1,0,0,5,0,0,0,0,0,0,0,2,0,1,0,0,6,0,0,60,0,0,0,3,2,0,0,14,1,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,5,0,0,1,0,0,0,0,0,0,0,0,9,7,0,0,4,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,3,0,0,0,2,0,17,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,6,0,1,0,0,0,1,8,0,1,0,33,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
1,1,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,44,0,0,0,8,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,7,0,0,0,0,0,0,0,0,0,0,4,15,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,8,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,4,0,0,0,5,0,0,0,0,0,0,6,0,0,0,9,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0
0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,17,0,0,0,0,0,0,0,23,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,6,0,0,1,0,0,0,0,0,0,0,0,0,8,0,0,1,0,0,0,0,2,0,0,1,0,0,1,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,6,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,4,0,0,0,0,0,0,5,0,0,0,13,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,3,2,0,0,0,1,0,0,15,0,0,0,1,0,0,0,20,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,10,0,0,0,0,1,0,0,0,0,0,0,11,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,14,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,1,0,0,0,4,0,0,9,1,0,0,1,0,0,0,39,0,0,0,7,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,6,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,4,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,5,0,0,0,0,0,2,8,0,0,0,28,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,14,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,1,2,0,0,7,0,0,0,0,0,0,0,4,1,0,0,0,6,0,0,38,0,0,0,4,0,0,0,21,1,0,0,4,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,30,9,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,1,0,0,0,0,3,0,0,0,0,2,1,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,1,0,0,0,5,0,1,0,0,0,0,1,0,0,0,21,2,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0
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0,2,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,4,0,2,74,0,0,0,7,0,0,0,36,1,0,0,7,0,0,7,0,0,1,0,0,0,0,3,0,0,0,0,11,0,0,0,0,0,0,0,0,0,2,1,17,11,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,5,1,0,0,0,0,7,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,6,0,0,0,2,0,0,4,0,0,0,44,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
0,3,2,0,0,0,3,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,20,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,10,0,0,29,0,0,0,4,0,0,0,6,0,0,0,8,0,1,1,0,0,1,0,0,0,0,3,0,0,0,0,18,0,0,1,0,0,0,0,0,0,0,1,24,27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,10,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,10,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,6,0,0,0,0,0,0,5,0,1,0,12,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0
0,3,6,0,0,0,4,0,0,0,4,0,0,0,0,1,0,0,1,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,4,0,0,6,0,0,0,0,1,0,0,1,0,0,0,0,3,1,0,42,1,0,0,4,1,0,0,10,0,0,0,8,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,32,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,12,3,0,0,0,0,14,0,0,1,0,2,0,0,0,0,0,0,4,0,0,0,1,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,6,0,0,0,0,0,0,0,4,0,0,1,0,0,2,2,0,0,0,19,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0
0,2,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,20,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,7,0,0,32,1,0,0,3,0,0,0,17,0,1,0,4,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,9,0,0,0,0,0,0,0,0,0,1,0,5,13,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,9,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,13,0,0,0,0,0,0,5,0,0,0,49,1,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,8,0,0,0,0,7,0,1,35,0,0,0,1,1,0,0,23,0,0,0,7,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,10,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,9,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,2,0,0,0,0,0,0,1,0,1,0,33,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,7,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,14,0,0,1,0,0,0,0,18,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,5,0,0,1,0,0,0,0,8,0,0,0,1,0,0,5,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,16,0,0,1,0,2,0,0,3,0,0,0,1,0,0,0,17,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,4,0,1,0,1,0,0,10,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,17,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,6,0,0,0,0,6,0,0,58,1,0,0,0,1,0,0,16,1,0,0,3,0,0,0,0,0,2,0,0,1,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,4,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,13,0,0,0,0,4,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,6,1,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,1,53,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
0,2,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,7,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,0,0,0,0,8,0,0,0,0,0,0,0,6,0,0,0,0,11,2,0,88,1,0,0,4,1,0,0,31,1,0,0,6,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,10,13,0,0,3,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,4,1,0,0,0,0,2,1,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,6,0,0,1,0,0,0,0,4,0,0,1,1,0,0,1,0,0,0,47,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,14,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,7,1,0,58,0,0,0,5,3,0,0,15,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,7,7,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,5,1,0,0,0,0,7,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,1,0,0,0,0,12,0,0,0,0,0,0,4,0,0,0,23,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,3,1,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,20,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,8,0,0,0,0,0,0,0,2,0,0,0,0,8,0,1,85,0,0,0,5,0,0,0,25,0,0,0,8,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,11,0,0,1,0,0,0,0,0,0,0,1,12,16,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,1,0,0,0,0,12,0,0,0,0,6,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,5,1,0,0,0,12,0,0,0,0,0,0,2,0,0,0,41,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0
0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,5,0,0,0,0,0,0,0,2,0,0,0,0,4,1,0,41,0,0,0,5,0,0,1,24,0,0,0,10,0,0,0,0,0,0,0,0,0,0,2,2,0,2,0,7,0,0,2,0,0,0,0,0,0,0,0,28,18,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,5,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,8,0,1,0,0,0,0,3,0,0,2,23,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0
0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,9,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,1,0,0,0,0,0,1,0,1,0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0,8,2,0,91,0,0,0,5,1,0,0,20,0,0,0,7,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,1,2,9,0,0,1,0,0,0,0,1,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,5,0,0,0,0,0,9,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,9,0,0,0,0,0,0,0,0,0,0,47,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,3
0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,0,0,2,4,0,0,0,0,2,0,0,79,1,0,0,3,4,0,0,22,0,0,0,5,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,9,0,0,0,0,1,0,0,0,0,0,1,3,16,0,0,3,0,0,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,7,4,0,0,0,5,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,2,0,0,0,0,3,0,0,1,0,0,0,2,0,0,0,30,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
0,5,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,21,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,7,0,0,0,0,5,0,0,106,0,0,0,4,1,0,0,15,0,0,0,3,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,4,0,0,0,0,0,0,0,0,0,0,0,3,9,0,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,7,0,0,0,0,10,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,10,0,0,1,0,0,0,3,0,0,0,70,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
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0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,11,0,0,41,0,0,0,7,2,0,1,16,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,2,2,0,0,3,0,0,0,0,0,0,0,5,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,8,0,0,0,0,0,0,6,0,1,0,21,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,4,0,0,3,0,0,0,0,0,0,0,9,1,0,0,0,3,0,1,40,0,0,0,7,0,0,1,44,0,0,0,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,8,0,0,0,0,0,0,0,0,0,0,0,25,15,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,4,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,5,0,0,0,0,2,3,5,0,0,0,21,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,2,0,0,0,0,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,7,0,1,53,0,0,0,4,0,0,0,17,0,0,0,5,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,2,11,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,3,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,5,0,0,1,0,0,1,2,0,0,1,45,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1
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1,2,2,1,0,1,6,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,2,2,0,0,0,3,0,0,0,1,3,0,4,0,0,2,0,0,0,0,1,0,0,24,0,0,0,0,1,0,1,2,1,0,0,3,0,0,0,29,0,0,0,4,0,1,0,2,0,1,0,1,0,0,2,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,11,6,0,0,20,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,8,0,0,7,4,0,0,0,8,0,2,1,0,0,0,9,0,0,0,13,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
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2,2,5,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,5,0,0,0,1,1,0,0,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,3,0,0,7,0,1,0,0,0,0,0,4,0,0,0,0,12,0,0,15,0,0,1,3,0,0,0,53,1,0,0,17,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,21,0,0,0,0,0,0,0,0,1,0,1,30,27,0,0,2,0,0,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,0,1,2,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,2,0,4,0,0,0,0,4,0,0,0,0,0,0,11,0,0,0,30,7,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
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0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,17,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,10,0,0,0,0,0,1,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,1,3,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,13,0,1,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0
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1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,11,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,3,0,2,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,7,1,0,0,8,0,0,0,12,0,0,0,8,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,14,0,1,0,0,0,0,0,0,0,2,3,21,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,3,0,0,0,0,10,0,0,5,0,0,0,5,0,0,0,32,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
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0,3,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,1,0,0,12,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,1,0,13,9,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,6,0,0,0,0,0,0,1,0,0,0,5,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0
0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,116,11,6,0,10,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,5,4,0,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,9,0,0,0,0,0,0,0,0,2,0,0,6,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0,1,0,0,15,0,0,0,0,14,0,1,41,0,0,0,2,1,0,0,60,0,0,0,8,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,16,0,0,1,0,0,0,0,0,0,0,2,31,17,0,0,21,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,4,0,1,0,0,7,1,0,0,2,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,1,1,0,0,0,6,0,1,0,3,0,0,3,0,1,0,24,8,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,2
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0,2,0,0,0,0,0,0,0,5,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,3,15,0,3,1,3,1,0,0,0,2,0,8,0,0,1,0,0,0,1,0,0,0,10,3,1,0,0,2,1,0,13,0,0,1,4,2,0,0,46,1,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,6,0,0,0,0,0,0,0,0,0,0,0,2,7,0,0,9,0,0,0,0,0,0,0,6,0,0,0,4,0,1,0,1,0,0,0,1,1,0,0,0,6,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,4,0,1,0,2,0,0,0,0,0,0,2,0,0,0,0,0,6,0,0,0,1,0,0,0,5,0,1,4,1,0,0,8,3,0,0,26,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,12,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,8,0,0,42,0,0,0,7,7,0,0,14,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,8,0,0,6,0,0,0,0,0,0,0,0,5,4,0,0,3,0,0,0,0,0,0,0,2,0,0,0,12,0,0,0,1,0,0,0,0,2,0,0,0,0,0,14,0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,2,0,0,0,0,2,0,0,0,27,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
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2,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,14,0,0,0,0,4,1,0,8,0,0,0,2,2,0,0,38,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,6,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,16,0,0,1,0,0,0,4,0,0,0,23,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,2,2,0,0,0,3,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,8,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,6,0,0,2,0,0,0,0,0,0,0,6,0,0,0,0,2,0,0,12,0,0,0,0,1,0,0,40,0,0,0,18,0,0,2,0,0,0,0,0,0,0,2,0,0,0,2,21,0,0,0,0,0,0,0,0,0,0,0,65,21,0,0,12,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,3,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,6,0,0,1,0,0,0,3,2,0,0,12,7,1,0,16,0,0,0,0,0,1,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,4,0,2,0,0,1,0,0,0,0
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0,2,4,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,4,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,4,0,0,0,1,0,0,0,15,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,1,1,14,3,0,0,5,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,5,0,0,0,0,0,0,3,0,0,0,8,1,0,0,10,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0
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0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,6,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,5,0,0,0,0,8,0,0,42,0,0,0,3,1,0,0,25,0,0,0,6,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,5,12,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,7,0,0,0,0,0,13,0,0,0,0,4,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,8,0,1,0,0,0,0,2,0,0,0,28,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0
1,1,4,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,6,0,0,5,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,28,2,0,0,4,1,0,0,38,1,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,1,0,41,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,4,0,0,0,0,2,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,7,0,0,1,0,0,0,9,0,0,0,18,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,2,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,7,0,0,31,0,0,0,1,0,0,0,20,0,0,0,11,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,4,0,0,0,1,0,0,0,0,0,0,2,10,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,10,0,1,1,0,0,0,1,0,1,0,32,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,1,0,23,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,7,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,40,0,0,0,9,1,0,0,10,0,1,0,6,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,6,0,0,0,1,0,0,0,0,0,1,2,32,11,0,0,1,0,0,0,0,1,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,22,0,0,0,0,0,12,0,0,0,0,11,0,0,0,0,0,0,2,1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,23,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,9,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,3,2,0,0,0,0,1,0,0,1,0,0,4,0,0,0,1,0,0,0,0,0,0,6,0,0,0,0,1,0,1,10,0,0,0,4,0,1,0,21,0,0,0,3,0,0,3,0,0,1,0,0,1,0,0,0,0,0,1,11,0,0,1,0,0,0,0,0,0,0,2,19,7,0,0,13,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,2,0,0,0,0,1,0,0,1,0,0,0,3,0,0,0,13,8,0,0,3,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,4,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,13,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,10,5,0,0,10,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,5,0,0,0,0,0,0,5,0,0,0,6,2,0,0,8,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,3,0,0,0,0,2,1,0,2,1,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,5,0,0,21,0,0,0,3,1,0,0,21,0,0,0,3,0,0,0,0,0,5,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,9,0,0,13,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,1,0,1,0,0,0,0,0,6,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,1,0,5,0,0,0,0,0,0,1,0,1,0,25,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,5,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,1,3,0,0,5,0,1,1,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,7,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,6,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,5,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,2,1,0,2,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,5,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,9,0,0,8,0,0,1,3,3,0,0,55,0,0,0,10,0,0,1,1,0,4,0,0,0,0,0,0,0,0,0,14,2,0,0,0,0,0,1,0,0,0,0,16,8,0,0,12,0,0,2,0,1,0,0,8,0,0,1,4,0,2,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,1,0,0,0,0,0,0,5,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,6,0,0,3,0,0,0,0,13,0,0,0,0,0,0,10,0,0,0,26,3,0,0,7,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,1,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,9,0,0,2,0,0,0,0,0,0,0,11,0,0,0,0,2,0,0,4,0,0,3,4,1,0,0,20,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,3,5,0,0,8,0,3,0,0,1,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,1,4,2,0,0,0,3,0,0,1,0,0,0,5,0,0,1,13,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,6,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,3,0,0,3,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,1,0,0,1,5,0,0,0,4,1,0,0,0,1,0,15,0,0,0,0,0,0,0,0,0,0,16,1,0,0,0,3,0,0,6,1,0,2,1,2,0,1,41,0,0,0,7,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,6,1,0,1,0,2,0,0,0,0,1,0,6,7,0,0,8,0,0,1,0,1,0,0,1,0,0,1,6,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,6,0,0,1,3,1,0,0,4,0,0,3,0,0,0,5,0,1,0,25,1,0,0,4,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,6,0,0,0,0,0,0,0,14,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,19,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,6,1,0,58,0,0,0,1,1,0,0,7,1,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,8,0,0,0,0,12,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,1,0,0,0,0,6,0,0,0,0,0,1,4,0,0,0,16,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,21,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,52,0,0,0,11,0,0,0,7,0,0,0,6,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,19,0,0,0,1,0,0,0,0,0,0,1,10,13,0,0,1,0,0,0,0,0,0,0,1,0,0,0,12,0,0,0,0,0,0,0,0,13,0,0,0,0,0,14,0,0,0,1,6,0,0,0,0,0,0,2,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,5,2,0,1,1,0,0,0,6,0,0,1,0,0,0,3,0,0,1,21,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,42,0,0,0,3,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,9,0,0,47,0,0,0,10,1,0,0,18,0,1,0,9,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,9,0,0,0,0,0,0,0,0,0,0,1,15,18,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,12,1,0,0,1,0,18,0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,4,0,0,0,1,0,1,0,0,0,0,29,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0
0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,16,0,0,0,1,0,0,0,12,0,0,0,13,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,1,25,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,6,0,0,0,0,0,0,1,0,0,0,10,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2
0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,1,1,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
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1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,8,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,6,4,0,0,0,1,1,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,2,0,0,0,0,0,0,0,6,0,0,0,0,0,0,1,25,1,0,0,9,2,1,0,13,3,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,14,0,0,0,0,1,0,0,0,0,0,0,7,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,1,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,5,0,0,1,0,0,0,3,0,0,0,17,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0
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0,2,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,32,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,5,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,16,0,0,0,2,0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,7,3,30,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,15,0,0,0,2,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,3,0,0,0,0,3,0,0,0,0,0,0,2,0,1,0,18,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0
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0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,1,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,10,0,0,0,3,1,0,0,8,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,6,0,0,0,0,0,0,0,0,0,1,0,17,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,17,0,0,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0
1,1,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,18,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,11,0,0,0,1,0,0,0,8,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,48,10,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0,0,8,0,0,0,2,3,0,0,0,0,0,0,5,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,22,8,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,2
0,1,7,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,1,14,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,4,0,0,4,0,0,0,0,0,0,0,4,2,0,0,0,4,0,0,25,0,0,0,4,0,0,0,10,0,1,0,3,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,1,0,21,5,0,1,3,0,0,1,0,0,0,0,0,0,0,0,5,0,2,0,0,0,0,0,0,4,1,0,0,0,0,4,0,0,0,0,4,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,6,0,0,2,0,0,0,0,2,0,0,0,0,0,0,4,0,2,0,24,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,4,3,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,1,31,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,6,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,19,0,0,0,12,1,0,0,3,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,1,0,0,0,0,0,6,0,79,7,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,21,0,0,0,0,0,28,0,0,0,2,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,33,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0
0,1,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,16,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,0,6,0,0,25,0,0,0,3,0,0,0,13,0,0,0,11,0,1,4,0,0,0,0,1,0,0,1,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,1,35,8,0,1,3,0,0,0,0,0,0,0,2,3,0,0,2,0,0,0,0,1,0,0,0,2,0,0,0,0,0,6,0,0,0,1,1,0,0,0,0,0,0,10,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,6,0,0,0,1,0,0,0,0,2,0,15,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,9,0,0,0,0,0,0,0,8,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,8,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,3,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,4,0,0,0,0,0,2,2,0,0,0,10,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1
0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,13,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,7,1,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,2,40,4,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,4,0,0,0,2,1,1,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,5,0,0,0,0,0,0,2,0,0,0,17,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0
0,0,3,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,4,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,8,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,13,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,2,0,0,3,0,0,0,1,0,0,0,13,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,3,0,1,1,1,0,0,0,7,0,0,0,0,0,0,1,0,0,1,2,25,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,8,0,0,26,0,0,0,3,1,0,0,5,0,0,0,21,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,17,0,0,0,0,0,1,0,0,0,1,1,56,14,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,18,0,0,0,0,0,13,0,0,0,2,5,0,0,0,0,0,0,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,6,0,0,2,1,0,0,0,11,0,0,0,0,0,0,2,0,0,0,29,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,2,0,0,0
0,3,2,0,0,0,1,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,45,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,17,0,0,1,8,0,0,0,4,0,0,0,12,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,10,0,0,0,0,0,0,0,0,0,6,0,74,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,33,0,0,0,0,0,25,0,0,0,3,2,0,0,0,0,0,0,11,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,4,0,1,2,1,0,0,0,9,0,0,0,0,0,0,5,0,1,0,25,5,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,2,0,0,0,0,0,0,0
0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,8,0,0,0,2,15,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,5,0,0,17,0,0,0,4,1,0,0,5,0,1,0,7,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,6,15,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,6,0,0,0,0,3,0,0,0,0,0,0,10,0,0,0,0,0,1,0,0,0,0,0,0,0,0,5,0,0,0,0,0,2,0,0,1,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,17,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,1,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,31,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,23,0,0,0,5,1,0,0,9,0,0,0,10,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,17,0,0,0,1,0,0,0,0,0,1,0,52,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,16,0,0,0,0,2,0,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,2,0,36,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,7,1,0,0,0,0,0,0
0,4,13,0,0,0,1,0,0,0,6,0,0,0,0,0,0,2,0,0,0,0,46,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,32,0,0,0,7,0,0,0,15,1,0,0,5,1,0,4,0,0,0,0,0,0,0,1,0,0,1,0,12,0,0,1,2,0,0,0,0,0,6,1,108,6,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,28,0,0,0,0,0,12,0,0,0,2,2,0,0,0,0,0,0,30,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,7,0,0,0,0,0,1,5,0,2,0,31,6,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,6,0,0,0,1,0,0,1
0,4,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,0,0,0,0,0,1,1,0,0,0,9,0,0,45,0,0,0,7,2,0,0,2,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,11,0,0,0,2,0,0,1,0,0,0,1,60,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,19,0,0,0,0,0,33,1,0,0,2,1,0,0,0,0,0,0,14,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,9,0,0,2,0,0,0,0,0,0,0,29,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,12,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,27,0,0,1,0,0,0,0,6,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,0,0,0,0,7,8,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0,0,0,2,0,0,0,0,0,9,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,6,0,0,1,0,0,0,0,3,0,0,2,0,0,0,1,0,0,1,8,1,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1
0,2,3,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,30,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,7,0,0,42,0,0,0,13,0,0,0,5,0,0,0,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,1,0,58,7,1,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,31,1,0,0,0,0,22,0,0,0,3,3,0,0,0,0,0,0,19,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,6,4,0,0,0,6,0,0,0,0,0,0,1,0,1,0,39,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,2,0,0,0
0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,34,2,5,1,15,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,1,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,9,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,1,0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,2,9,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,31,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,18,0,0,0,7,0,0,2,6,0,0,0,17,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,1,113,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,13,0,0,0,0,0,31,0,0,0,2,3,1,0,0,0,0,0,24,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,4,0,0,0,1,0,0,7,0,0,0,24,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1
0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,31,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,31,0,0,0,1,0,0,1,10,0,0,0,12,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,1,0,0,0,0,0,0,1,2,41,14,0,0,0,0,0,0,0,0,1,0,1,0,0,1,3,0,0,0,0,0,0,0,0,6,0,0,0,0,0,13,0,0,0,0,6,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,1,0,0,0,8,0,0,0,0,0,0,1,0,1,0,24,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,2,0,3,0,0,0,0,0,0,0
0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,2,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,26,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,3,0,0,15,0,0,0,3,0,0,0,11,1,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,9,4,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,13,0,0,0,0,7,0,0,0,0,0,0,5,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,18,1,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
1,5,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,12,0,0,0,3,0,0,0,3,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,6,12,1,0,1,8,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,11,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,13,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,12,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,18,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,7,0,0,2,0,3,1,0,0,0,1,2,6,3,0,0,9,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,2,0,1,6,1,0,0,7,0,0,0,5,7,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,2,0,0,9,0,0,0,0,1,0,0,14,0,0,0,6,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,7,0,1,0,0,0,0,0,0,0,1,0,6,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,3,2,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,1,0,0,0,4,0,0,0,0,0,0,3,0,0,0,15,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,9,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,2,24,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,2,0,6,0,0,6,1,0,0,0,0,0,0,3,0,0,0,0,6,1,1,46,1,0,0,8,0,0,0,22,0,2,0,10,0,1,0,0,0,1,0,0,0,0,5,0,0,0,0,14,0,0,0,0,0,0,0,0,0,1,2,60,9,0,0,4,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,15,0,0,0,0,0,22,0,0,0,0,2,2,0,0,0,0,0,10,0,2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,1,3,2,0,0,0,13,0,0,0,2,0,1,5,0,0,0,44,2,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,2,0,0,1
0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,63,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,11,1,0,0,0,0,0,0,1,0,0,0,0,12,0,1,84,0,0,0,4,0,0,0,20,0,0,0,12,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,12,0,0,0,0,0,0,0,0,0,3,3,50,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,21,2,0,0,0,0,21,0,0,0,1,3,0,0,0,0,0,0,17,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,8,0,0,0,0,0,0,3,0,0,1,57,5,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,3,0,0,0,0,0,0,0
0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,19,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,6,0,0,0,0,7,1,1,45,0,0,0,3,0,0,0,24,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,2,21,10,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,20,0,0,0,0,4,0,0,0,0,0,0,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,8,0,0,0,0,0,0,2,0,0,0,39,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,14,0,0,0,5,0,0,0,14,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,10,0,0,0,0,0,1,0,0,0,0,0,20,11,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,7,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,13,1,0,0,6,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,2,3,0,0,0,0,0,0,0,6,0,0,1,0,0,0,0,0,0,2,0,44,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,0,3,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,21,0,0,0,6,0,0,0,4,1,0,0,4,0,1,3,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,6,3,70,10,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,28,0,0,0,0,0,25,1,0,0,1,2,0,0,1,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,5,3,0,0,0,3,0,0,0,0,0,1,2,0,0,1,32,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0
0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,6,0,0,0,4,0,0,0,10,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,1,9,1,0,0,11,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,3,0,1,0,6,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1
0,2,0,0,0,0,1,1,0,5,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,7,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,1,0,0,11,0,0,1,4,0,0,0,33,0,0,0,6,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,14,4,0,1,16,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,9,0,0,4,4,0,0,0,11,0,0,2,2,0,1,2,0,0,0,32,5,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1
0,2,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,0,0,0,2,0,60,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,5,0,3,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,4,0,0,34,0,0,0,11,0,0,1,9,0,1,0,13,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,6,0,0,0,0,0,0,0,0,0,1,2,41,8,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,26,0,0,0,0,0,32,0,0,0,0,2,0,0,0,0,0,0,12,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,2,0,0,6,0,0,0,0,1,0,0,1,1,0,0,2,0,2,1,49,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,16,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,3,1,0,0,0,7,0,0,27,0,0,0,4,0,0,0,17,1,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,11,0,0,2,0,0,0,0,0,0,0,1,17,10,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,3,2,0,0,0,0,7,0,0,0,1,3,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,33,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,3,3,0,2,0,6,1,0,0,0,0,0,0,0,0,0,0,0,2,0,3,10,0,1,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,2,0,0,1,0,0,3,2,0,0,0,1,0,0,0,0,2,0,24,0,1,1,0,0,0,0,0,0,0,7,0,0,0,0,4,0,0,14,0,0,0,2,1,0,0,45,0,0,0,7,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,9,1,0,0,0,0,0,0,0,0,1,0,13,14,0,0,25,0,0,1,0,1,0,0,3,1,0,0,5,0,0,0,0,0,0,1,0,0,1,0,0,0,0,3,1,0,0,1,7,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,3,3,0,0,0,8,0,4,3,1,0,0,1,0,0,0,16,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,2,0,0
0,1,7,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,32,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,46,0,0,0,4,5,0,0,14,0,0,0,6,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,1,36,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,26,0,0,0,0,0,21,0,0,0,1,3,0,0,0,0,0,0,8,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,9,0,0,3,0,0,0,5,0,0,0,33,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0
0,1,1,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,11,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,5,0,0,2,0,0,0,0,0,0,0,7,0,0,0,0,6,1,0,13,0,0,0,3,0,0,0,21,0,0,0,8,0,0,2,0,0,2,0,0,0,0,2,0,0,0,0,4,0,0,1,0,0,0,0,0,0,1,0,21,15,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,1,0,0,0,0,6,0,0,0,2,1,0,0,0,0,0,0,6,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,4,0,0,0,1,0,4,1,0,0,0,14,1,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0
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0,2,1,0,2,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,11,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,5,0,0,11,0,0,0,4,0,0,0,10,0,0,0,6,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,15,0,0,0,0,0,0,0,0,0,0,2,25,19,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,1,0,0,10,0,0,0,1,3,1,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,6,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,15,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,19,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,5,0,0,0,0,10,0,0,23,0,0,0,3,0,0,0,16,0,1,0,4,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,11,0,0,1,0,0,0,0,0,0,0,0,33,11,1,0,2,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16,0,0,0,1,4,0,0,0,0,0,0,9,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,3,0,0,0,2,0,0,3,1,0,0,3,0,0,0,23,5,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
0,6,3,0,0,0,1,0,0,0,4,0,0,0,0,0,0,2,0,0,1,1,61,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,19,0,0,0,0,0,0,0,5,0,0,0,4,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,9,0,0,0,0,0,0,0,0,0,1,0,34,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,0,0,0,0,0,41,1,0,0,1,5,0,0,0,0,0,0,12,0,0,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,7,0,0,1,0,0,0,0,7,0,0,0,1,0,0,2,0,0,1,40,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,1,16,0,0,0,0,0,0,1,0,0,3,0,82,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,5,0,0,0,0,3,0,1,15,0,0,0,7,0,0,0,1,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,10,0,0,0,1,0,0,0,0,0,1,0,41,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,30,1,0,0,0,0,65,0,0,0,0,3,0,0,0,0,0,0,15,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,1,0,3,0,0,0,0,2,0,0,2,1,0,1,1,0,0,2,19,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,1,0,4,0,1,0,1,0,0,1
1,4,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,2,6,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,4,0,0,0,0,0,0,1,3,0,0,0,0,2,0,0,9,0,0,0,0,0,1,0,12,0,0,0,9,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,1,0,0,1,2,23,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,18,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
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1,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,3,0,0,0,0,0,2,0,0,0,2,0,2,0,0,1,0,0,0,0,0,0,0,11,0,0,0,0,3,0,0,9,1,0,2,2,0,0,0,11,0,0,0,4,0,3,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,0,0,0,3,0,0,0,0,1,2,6,5,0,0,29,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,5,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,1,0,0,0,0,3,0,3,9,2,0,0,2,0,0,0,15,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,1,1,41,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,6,0,0,0,0,0,0,0,4,1,1,0,0,9,0,0,58,0,0,0,2,0,0,0,11,0,0,0,6,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,6,0,0,1,0,0,0,1,0,0,0,1,29,6,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,21,0,0,0,0,0,43,0,0,0,1,4,0,0,1,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,3,0,0,0,0,8,0,0,1,0,0,0,4,0,0,0,38,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,2,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,9,1,0,0,14,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,2,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,2,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,3,1,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,4,0,0,2,0,0,1,2,0,0,0,8,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,4,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,11,0,0,0,1,3,0,0,4,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,2,0,0,0,0,0,0,0,24,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,4,0,0,0,2,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,19,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,2,1,0,1,0,13,0,0,33,0,0,0,1,0,0,0,17,0,0,0,19,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,19,0,0,0,0,0,0,0,0,0,0,1,42,20,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,9,0,0,0,0,0,16,0,0,0,2,6,0,0,0,0,0,0,13,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,6,0,0,0,0,0,0,2,0,0,0,15,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,11,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,8,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0
1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,14,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,2,0,1,18,0,0,1,2,0,0,1,17,3,0,0,6,0,0,2,0,0,0,0,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,2,30,10,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,2,0,0,0,0,8,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,1,1,0,0,0,29,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,29,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,11,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,36,0,0,0,7,0,0,0,4,1,2,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,10,0,0,0,1,0,0,0,0,0,4,4,42,13,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,19,0,0,0,0,0,21,0,0,0,2,2,0,0,0,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,2,0,0,0,9,0,0,0,0,0,0,1,0,1,1,25,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,3,0,5,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,6,0,0,2,1,0,0,0,0,0,2,0,0,0,0,2,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,1,3,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1
0,1,2,0,0,0,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,40,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,7,0,0,0,0,0,0,0,3,0,0,0,0,15,0,1,75,0,0,0,6,1,0,0,9,0,0,0,12,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,19,15,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,14,0,0,0,0,0,27,0,0,0,0,8,1,0,0,0,0,0,8,0,0,0,1,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,4,0,1,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,42,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0
0,0,8,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,1,1,1,1,14,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,16,0,0,0,1,0,0,0,11,0,0,0,7,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,5,0,1,0,0,0,0,0,0,0,2,2,57,11,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,6,0,0,0,0,0,17,0,0,0,1,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,6,0,0,0,0,0,0,3,0,0,0,18,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,2,3,0,1,0,1,0,0,0,6,0,0,0,0,0,0,0,0,0,1,1,28,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,2,0,0,5,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,23,0,0,0,3,0,0,0,9,0,0,0,8,0,0,4,0,0,2,0,0,0,0,3,0,0,0,0,8,0,1,0,2,2,0,0,0,0,4,2,57,7,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,15,0,0,0,0,0,26,0,0,0,1,5,0,0,0,0,0,0,20,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,5,3,0,0,0,6,0,0,0,0,0,0,0,0,0,0,27,4,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0
2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,6,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1
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0,2,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,2,0,57,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,40,0,0,0,6,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,1,0,0,0,0,0,4,2,47,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,18,1,0,0,0,0,32,0,0,0,4,2,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0,14,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,3,1,0,0,1,0,0,0
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0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,6,1,0,0,0,10,0,2,13,2,0,2,0,0,0,0,31,0,0,0,4,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,18,8,0,0,3,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,1,0,0,0,4,0,0,0,0,0,0,1,0,0,0,18,3,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,13,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,13,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,7,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,11,1,0,0,3,0,0,0,21,1,0,0,7,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,8,0,0,2,1,1,0,1,0,0,1,1,27,16,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,3,5,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,0,0,3,0,1,0,28,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,0,0,0,0,2,0,0,0,10,0,0,0,0,0,0,0,0,0,2,0,9,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,10,0,1,0,1,0,0,0,5,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,1,0,0,0,9,2,59,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,8,1,0,0,0,0,15,0,0,0,0,1,0,0,0,0,0,0,14,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,3,0,0,0,0,0,0,1,0,0,0,13,4,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,9,0,0,0,1,0,0,0
0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,1,0,2,23,1,0,1,1,1,0,0,23,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,4,5,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,8,0,0,0,0,0,0,2,0,0,1,31,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,6,0,0,0,2,0,0,0,7,1,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,20,9,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,7,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,5,0,0,0,20,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,2,0,0,0,2,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,11,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,6,1,0,0,5,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,1,0,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,10,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,2,0,0,0,1,1,0,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,2,1,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,5,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,4,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,29,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,2,0,0,7,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,30,0,0,0,7,0,0,0,14,0,0,0,2,0,0,0,2,0,0,0,0,0,0,3,0,0,0,1,6,0,0,0,0,1,0,1,0,0,2,4,32,11,1,0,18,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,16,3,0,0,3,0,2,1,0,0,0,0,14,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,3,0,0,0,1,1,0,0,13,0,0,4,0,0,0,1,0,0,0,26,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
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1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,21,0,0,1,3,0,0,0,6,0,0,0,3,0,0,0,0,0,0,0,1,0,0,3,1,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,14,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,5,1,0,0,0,0,17,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,1,0,0,0,1,0,0,0,11,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
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0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,6,0,4,0,3,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,3,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4
0,2,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,10,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,5,0,0,12,0,0,0,1,0,0,0,14,0,0,0,5,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,14,8,1,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,1,5,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,1,0,0,0,5,0,0,1,0,0,0,3,0,2,0,22,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,4,0,0,0,0,0,0,0,4,3,0,0,0,0,0,0,0,0,0,0,1,17,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,30,0,0,0,4,1,0,0,11,0,0,0,5,0,0,1,1,0,3,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,8,7,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,14,0,0,0,0,1,1,0,0,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,4,0,0,0,0,0,0,4,0,0,0,20,2,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0
0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,52,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,3,0,0,0,0,6,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,26,0,0,0,6,0,0,3,2,0,0,0,7,0,0,1,0,0,3,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,18,5,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,24,0,0,0,0,2,0,0,0,0,0,0,6,0,1,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,4,0,1,0,2,0,0,0,1,0,0,1,0,0,0,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,1,0,0,0,0,1,0,10,0,1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,16,6,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,1,0,0,0,2,1,2,0,4,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0
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1,4,3,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,1,0,63,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,7,0,0,0,6,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,3,1,32,3,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,27,0,0,0,0,0,43,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0
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1,3,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,3,0,0,2,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,2,0,6,0,0,2,0,0,0,0,1,0,1,7,1,0,0,0,2,0,1,7,1,0,0,1,1,0,0,42,1,3,0,3,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,10,24,4,0,0,9,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,3,0,0,0,0,0,6,0,0,0,0,0,1,0,0,0,1,4,0,0,2,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,7,0,0,2,2,0,1,0,11,0,1,0,0,0,0,11,0,0,0,40,7,1,0,3,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0
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0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,1,0,0,0,0,0,0,6,0,0,2,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,28,0,0,0,0,0,0,2,19,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,5,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,12,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,6,0,0,0,2,0,0,0,8,0,0,0,5,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,4,9,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,2,0,0,0,7,0,0,0,0,0,0,3,0,1,0,18,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,25,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,2,1,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,55,1,0,0,0,2,0,0,6,1,0,0,0,0,0,1,17,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,5,0,1,2,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0
0,5,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,4,0,0,0,0,0,1,0,0,0,0,31,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,4,0,0,0,0,0,1,0,3,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,3,0,0,0,0,1,0,0,0,1,0,0,6,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0
2,3,3,0,0,0,2,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,5,3,0,0,1,0,0,0,0,0,0,0,9,0,0,2,0,0,0,0,0,0,0,23,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,36,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0,3,0,0,2,5,0,0,1,0,0,0,0,0,0,0,0,8,2,0,1,12,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,2,0,0,0,0,0,5,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,3,11,0,0,4,4,0,0,0,6,0,0,1,0,0,1,9,0,0,2,14,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
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1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,6,2,0,0,0,1,0,0,50,0,0,0,5,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,10,0,0,0,0,0,0,0,0,0,0,2,13,7,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,3,0,0,0,0,0,0,6,0,0,0,29,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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2,0,9,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,6,0,0,5,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,37,0,0,0,5,0,0,5,0,0,1,1,0,0,0,3,0,0,0,1,6,0,0,0,0,0,0,0,0,0,1,6,23,2,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,4,0,3,1,0,0,0,10,0,1,0,24,3,0,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0
1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,21,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,3,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,5,1,0,0,1,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,6,2,0,0,0,0,0,0,0,0,1,0,13,0,0,1,0,0,1,0,1,0,0,30,1,0,0,0,0,0,0,5,1,0,0,0,1,0,0,46,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,2,2,3,0,0,14,1,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,1,0,3,0,1,0,0,0,0,0,0,2,0,0,0,0,1,10,1,1,2,5,0,0,1,5,0,0,1,0,0,0,12,0,0,0,32,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0
0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,1,1,0,6,2,0,0,1,0,0,0,22,0,0,0,6,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,3,5,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,9,0,0,2,11,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,5,0,0,0,0,0,0,0,7,0,0,0,0,2,1,0,3,0,0,0,0,1,0,0,6,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,7,0,0,0,0,0,0,0,0,0,0,0,3,7,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,1,0,0,0,0,1,0,0,0,11,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,6,0,0,1,0,1,0,0,34,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,4,6,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,2,0,0,0,0,0,0,4,0,0,0,26,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,3,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,3,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,1,3,5,0,0,1,4,1,0,0,26,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,14,2,0,0,2,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,1,1,2,0,0,0,3,0,0,0,0,0,0,8,0,0,0,23,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,6,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,12,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,7,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,11,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,1,0,1,2,0,1,0,1,0,0,0,0,0,2,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,2,0,0,0,0,1,0,0,59,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,24,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,0,2,0,0,0,0,0,0,0,0,0,1,9,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,6,0,0,0,7,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,1,2,0,3,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,1,0,1,4,1,0,0,0,1,0,0,14,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,18,0,0,0,2,0,1,0,5,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,5,0,0,4,2,0,0,0,0,0,0,1,0,0,0,6,0,0,0,18,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,1,34,0,0,0,0,0,0,1,8,0,0,0,0,1,0,0,42,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,0,0,0,2,3,4,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,3,0,0,1,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,1,0,3,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,12,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,17,4,1,0,5,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,11,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
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0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,6,0,0,0,0,2,0,0,4,0,0,0,2,0,0,0,15,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,4,5,0,0,8,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,3,4,0,0,0,7,0,1,3,0,0,0,4,0,0,0,17,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1
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0,4,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,2,1,0,15,3,0,0,5,3,0,0,11,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,1,2,2,0,1,9,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,8,0,0,0,0,0,0,1,0,1,0,39,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,1,0,0,0,0,0,0,8,0,0,0,2,2,0,0,16,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,5,0,0,2,0,0,0,0,0,0,0,1,2,2,0,0,3,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,33,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,3,0,0,1,0,0,0,0,0,0,0,0,0,7,0,0,0,0,5,1,0,21,1,0,0,0,2,0,0,12,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,6,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,5,0,0,1,2,0,0,1,0,0,0,41,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,26,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,89,0,0,0,4,2,0,0,28,0,1,0,4,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,7,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,10,0,0,0,0,5,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,3,0,0,0,0,12,0,0,0,0,1,0,4,0,0,0,60,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1
0,6,0,0,0,0,3,0,0,1,1,0,0,0,0,0,0,1,1,0,0,0,8,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,9,0,0,34,0,0,0,1,1,0,0,46,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,0,0,7,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,1,0,0,0,7,0,0,0,0,0,1,3,0,0,0,53,1,0,0,0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,3,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,42,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,7,0,0,0,0,7,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,3,0,1,50,1,0,0,6,2,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,4,4,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,14,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0
0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,35,0,0,0,3,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,26,0,0,0,10,0,0,0,5,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,6,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,13,0,0,0,1,6,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,1,35,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,33,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,6,0,0,93,0,0,0,1,0,0,0,12,1,1,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,2,5,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,5,0,0,0,0,0,22,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,10,0,0,3,0,0,1,0,0,0,1,48,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,4,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,2,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,50,1,0,0,0,0,0,1,9,2,0,0,2,0,0,0,0,0,1,0,0,0,0,3,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,2,4,7,0,0,0,0,0,0,0,0,0,0,1,0,0,0,8,0,0,0,0,0,0,0,0,2,1,0,0,0,0,15,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,9,0,0,0,0,0,1,1,0,3,0,28,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,2,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,9,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,7,0,0,27,0,0,0,8,1,0,0,10,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,4,0,0,0,0,3,0,0,0,2,0,0,3,0,1,0,0,0,0,0,0,3,0,0,0,0,0,14,0,0,0,0,4,2,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,0,0,0,5,0,0,1,0,0,0,5,0,0,0,39,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,13,1,0,0,0,1,0,0,9,0,0,1,0,0,0,0,22,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,6,0,0,2,0,0,0,1,0,0,0,23,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,18,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,1,0,0,0,0,0,0,0,6,0,0,0,0,4,1,0,55,0,0,0,7,2,0,0,22,0,0,0,4,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,2,5,0,0,2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,8,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,11,0,0,4,0,0,0,0,0,0,0,58,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,1,0,28,0,0,0,8,0,0,1,19,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,3,4,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,9,0,0,0,0,0,0,3,0,0,0,35,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
0,5,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,32,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,55,1,0,0,9,1,0,0,4,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,5,11,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,24,1,0,0,0,4,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,9,0,0,1,0,0,0,5,0,0,0,60,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,51,0,0,0,4,0,0,1,13,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,6,4,0,0,2,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,9,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,2,1,0,0,0,5,0,0,0,0,0,0,2,0,1,0,60,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0
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0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,10,1,1,16,0,0,0,2,6,0,0,13,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0,15,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,9,4,0,0,0,0,0,0,2,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,3,0,1,0,0,0,0,5,0,0,1,22,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,6,0,0,0,0,1,1,0,3,0,0,0,0,0,0,0,0,1,1,0,1,16,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,4,1,0,2,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,12,0,0,0,0,4,0,1,58,1,0,0,6,3,0,0,27,0,0,0,5,0,0,0,0,0,1,0,3,1,0,0,0,0,0,3,4,0,0,0,0,0,0,0,0,0,0,0,1,14,0,0,18,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,1,1,3,2,0,0,0,0,4,0,0,0,0,11,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,11,0,0,2,0,1,0,0,16,0,0,0,0,0,0,24,0,1,0,66,0,1,0,1,0,0,0,0,0,0,7,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,4,0,0,0,0,0,0,0,0,0
0,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,18,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,5,0,0,31,0,0,0,3,3,0,0,10,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,2,0,0,0,9,0,1,0,1,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,4,0,0,0,12,0,0,1,0,0,0,3,0,0,0,65,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,10,0,0,0,1,0,0,0,5,1,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,8,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,31,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,31,0,0,0,1,2,0,0,20,0,1,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,6,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,4,0,0,1,0,0,1,0,0,1,0,25,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,4,1,0,41,0,0,0,5,0,0,0,18,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,9,0,0,0,0,3,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,4,0,0,0,0,0,0,1,0,0,1,46,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,7,0,0,0,0,9,0,0,39,0,0,0,3,0,0,0,27,0,0,0,7,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,8,0,0,0,0,0,0,0,0,0,0,0,1,7,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,10,0,0,0,0,0,1,2,0,0,2,21,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1
0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,34,0,0,0,0,0,0,0,10,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,5,0,1,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,1,0,1,0,0,14,0,0,0,1,0,0,1,0,0,0,32,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,10,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,6,0,0,32,0,0,0,8,0,0,0,23,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,12,0,0,0,0,0,0,0,3,0,0,0,3,0,1,0,0,0,0,0,0,1,0,0,0,0,0,4,2,0,0,0,9,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,5,0,0,0,16,0,0,1,1,0,1,6,0,0,0,43,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,6,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,1,2,0,0,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,2,2,0,2,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,3,0,0,15,0,0,1,4,2,0,0,47,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,1,0,0,1,11,0,0,1,0,0,1,0,0,0,0,0,10,5,0,0,17,0,0,3,0,1,0,0,4,1,0,1,2,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,2,0,0,0,7,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,3,0,0,0,0,13,0,0,4,1,0,0,6,0,0,0,33,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0
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0,5,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,3,2,0,2,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,6,0,0,11,2,0,0,5,0,0,0,51,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,4,5,0,0,14,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,3,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,2,1,2,3,0,0,0,5,0,0,1,1,0,0,13,0,0,0,37,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,6,0,0,27,0,0,0,1,2,0,0,54,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,7,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,0,0,8,0,0,0,30,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1
0,3,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,3,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,22,0,0,0,9,3,0,1,16,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,2,4,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,11,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,12,0,0,0,0,0,0,1,0,0,0,28,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
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0,3,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,7,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,15,0,0,0,0,3,0,0,10,0,0,1,0,2,0,0,43,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,2,11,0,0,9,0,0,0,0,0,0,0,7,0,0,0,1,0,0,0,1,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,6,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,5,0,0,0,0,0,0,10,0,0,0,19,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,0,0,0,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,13,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,1,8,0,1,1,0,0,0,0,0,0,0,0,0,1,0,10,3,0,0,4,0,0,1,0,0,0,0,2,0,5,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,7,0,1,42,0,0,1,1,3,0,1,9,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,1,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,26,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,4,1,0,1,0,0,0,1,0,4,0,9,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,0,1,0,0,0,0,0,1
0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,28,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,6,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,7,0,0,71,0,0,0,7,1,0,0,11,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,2,10,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,7,0,0,0,0,0,15,0,0,0,0,10,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,8,0,0,0,0,0,0,3,0,2,0,33,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,12,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,5,0,0,2,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,1,0,3,0,0,0,0,0,10,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,7,1,0,0,0,1,0,0,8,0,0,0,0,1,0,0,20,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,5,0,0,26,0,0,2,0,6,0,0,42,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,8,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,2,2,0,0,0,7,0,0,0,0,0,0,4,0,0,0,28,2,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,21,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,19,0,0,0,1,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,6,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,4,0,0,0,0,0,2,0,3,0,1,0,0,0,0,0,0,0,2,0,1,3,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,5,2,0,0,0,5,0,0,20,0,0,0,1,0,0,0,44,0,0,0,5,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,14,0,0,4,0,0,0,0,0,0,0,5,2,0,0,7,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,9,0,0,0,0,0,1,3,0,0,0,25,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
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0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,8,0,0,0,7,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,3,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,0,0,2,4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,0,2,1,44,1,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
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1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,6,1,0,0,1,0,0,0,3,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,3,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
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1,1,2,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,18,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,2,0,3,20,0,0,0,5,0,0,1,16,0,0,0,6,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,10,6,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,3,0,0,1,0,0,0,2,0,0,0,42,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,2,1,0,6,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,7,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,6,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,13,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,7,0,0,0,0,0,0,0,2,0,0,0,0,5,0,1,17,0,0,0,8,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,8,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,20,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,13,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,1,0,2,0,0,48,1,0,0,2,0,0,1,5,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,6,17,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,52,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,12,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,8,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,12,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,1,1,0,5,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,4,1,0,0,3,0,0,0,14,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,1,0,0,0,0,1,4,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,3,0,0,0,0,0,0,6,0,0,0,19,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,7,0,0,0,0,1,0,0,14,0,0,0,0,0,0,0,9,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,3,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,5,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,5,0,1,20,0,0,0,6,0,0,0,4,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,10,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,13,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,0,1,0,0,0,0,0,0,4,0,0,0,47,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0
0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,2,0,0,0,2,0,0,0,10,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,21,1,0,0,3,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,4,0,0,1,33,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,9,0,0,0,0,0,0,0,3,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,1,0,0,0,0,1,5,2,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,27,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,5,1,0,0,0,0,1,0,24,0,0,0,7,1,0,0,14,0,0,0,5,0,0,0,2,0,2,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,3,12,3,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,9,1,0,0,0,0,0,0,1,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,6,0,1,0,41,1,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,3,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,1,0,0,2,0,0,0,0,0,0,0,3,1,0,0,0,3,0,0,13,0,0,0,2,1,0,0,9,2,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,4,2,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,4,0,0,0,1,0,3,15,0,0,1,31,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,4,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,4,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,6,0,0,0,1,0,0,0,16,0,0,0,4,0,1,2,0,0,6,0,0,0,0,0,0,0,0,2,4,0,0,0,0,0,0,0,0,0,0,0,4,2,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,1,0,0,1,13,0,1,0,19,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,28,0,0,0,4,1,0,0,13,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,4,5,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,49,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,4,0,0,5,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,21,0,0,0,10,0,0,0,30,0,0,0,8,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,7,0,0,1,0,0,0,0,0,0,0,2,11,8,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,3,0,0,0,0,0,0,9,0,0,0,23,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,18,0,0,0,2,0,0,0,17,0,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,7,9,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,5,0,0,0,0,0,0,2,0,1,0,40,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
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0,2,9,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,3,1,0,1,3,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,6,0,0,0,0,1,1,1,0,5,1,0,0,0,0,0,0,0,1,0,0,19,0,0,0,0,0,0,0,0,0,0,41,0,0,0,0,6,0,1,4,0,0,0,0,0,0,1,101,1,1,0,11,0,0,1,0,0,1,2,0,0,0,0,2,0,0,2,14,0,2,1,0,1,0,0,0,0,0,3,11,6,1,0,10,0,0,1,0,0,0,0,4,1,0,0,1,1,0,0,3,0,0,1,1,0,0,0,0,1,0,1,2,0,0,1,4,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,1,2,1,0,0,0,9,0,2,0,0,0,0,30,0,0,0,54,9,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,1,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,5,0,0,0,1,1,0,2,0,1,0,0,0,2,1,0,7,0,0,9,1,0,2,0,1,3,0,0,0,0,1,0,5,0,0,0,2,0,0,6,0,0,0,0,0,0,0,0,0,3,1,0,0,0,4,0,3,0,2,0,0,0,0,3,0,0,0,4,2,0,1,0,1,3,2,0,1,0,0,0,0,59,0,0,0,0,7,0,1,20,0,0,0,2,1,0,1,64,0,0,0,26,0,0,4,0,0,1,2,1,0,0,0,0,0,0,11,18,0,3,0,0,1,0,0,0,0,0,0,3,22,0,0,7,0,0,1,1,1,1,1,5,2,0,0,0,1,0,0,0,0,1,0,1,0,7,1,0,1,0,0,0,4,0,1,3,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2,1,0,0,0,0,0,2,2,5,0,0,12,0,1,2,12,11,1,0,3,0,0,0,1,0,0,1,0,0,0,0,0,0,0,3,0,2,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,2
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1,3,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,17,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,4,0,1,52,0,0,0,2,1,0,1,9,0,0,0,3,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,7,2,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,5,0,0,0,0,3,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,2,0,0,0,67,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,32,1,0,0,0,0,0,0,22,0,0,0,10,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,6,0,0,0,13,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,4,0,0,0,0,0,0,0,25,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,5,2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,30,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,11,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,3,1,0,0,0,1,0,2,33,0,0,0,2,0,0,0,22,0,0,0,13,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,5,0,0,0,0,0,0,0,0,0,0,1,15,9,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,3,0,0,0,2,0,0,0,0,0,0,5,0,0,0,49,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,5,0,0,0,0,2,0,0,16,0,0,0,4,0,0,0,16,1,0,0,6,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,6,6,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,6,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,1,13,0,0,0,30,3,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,9,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,9,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,6,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,5,0,0,0,0,0,0,0,8,0,0,0,0,2,1,0,26,0,0,0,1,0,0,0,20,1,0,0,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,6,0,0,0,0,0,0,0,0,0,0,0,14,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,6,0,2,0,27,0,0,0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,0,0,0,0,7,0,0,0,0,2,0,1,16,0,0,0,1,1,0,0,10,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,2,0,0,0,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,7,0,0,0,1,0,0,0,9,0,0,0,5,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,5,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,0,0,0,1,2,0,1,0,18,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,48,0,0,0,4,0,0,0,14,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,4,10,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,8,0,0,0,45,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
1,5,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,3,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,26,0,0,0,0,0,0,0,32,0,0,0,6,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,0,0,0,2,9,7,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,5,0,1,0,50,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,4,0,0,0,0,0,0,0,27,0,0,0,0,2,1,0,52,0,0,0,2,1,0,0,23,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,8,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,5,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,5,0,0,0,24,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0
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0,2,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,30,3,0,0,0,0,0,0,17,0,0,0,7,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,1,2,17,6,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,3,0,0,0,0,1,0,0,0,2,0,0,4,0,1,0,23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
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0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,0,0,27,0,0,0,0,3,0,0,4,2,0,1,3,0,0,0,43,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,6,0,0,4,0,1,0,0,0,0,0,0,1,3,0,0,8,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,7,0,0,0,9,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0
0,4,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,2,0,0,35,0,0,0,1,0,0,0,29,0,0,0,8,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,3,0,0,0,0,3,0,1,0,0,0,0,3,0,0,0,38,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,10,0,0,0,0,0,1,0,17,0,0,0,1,0,0,0,43,1,0,0,6,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,4,0,0,0,0,0,0,0,0,0,0,0,8,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,25,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,3,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,79,0,0,0,1,0,0,0,14,2,0,0,5,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,0,0,0,0,1,1,17,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,5,0,0,0,0,0,0,5,0,0,0,61,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,60,0,0,0,2,0,0,1,29,0,1,0,9,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,1,9,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,37,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,14,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,14,0,0,0,9,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,5,0,1,0,0,0,0,0,0,0,1,1,10,6,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,15,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,3,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,5,1,0,2,1,0,0,6,1,0,0,11,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,3,0,0,0,25,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,12,1,0,0,2,1,0,0,5,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,3,0,0,1,1,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,8,0,0,0,0,0,0,0,0,1,0,0,0,0,0,17,0,0,0,0,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,1,0,0,0,0,0,0,0,45,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0
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0,9,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,1,10,1,0,0,8,1,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0,0,1,0,0,0,1,1,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,0,1,0,0,10,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,1,0,0,0,3,0,0,0,0,0,0,2,0,0,0,38,0,1,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
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0,3,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,0,5,0,1,0,0,0,0,1,0,0,0,0,0,12,0,0,0,0,5,0,1,2,4,0,2,3,2,0,0,15,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,5,0,0,38,0,2,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,2,0,1,0,0,9,0,0,2,2,0,0,12,0,0,0,26,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0
0,6,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,7,1,0,0,8,1,0,0,11,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,2,0,0,0,0,0,1,0,37,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,6,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,33,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,21,0,0,0,9,3,0,1,7,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,10,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,3,0,0,0,0,0,19,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,7,0,0,0,0,0,3,1,0,1,0,31,1,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,5,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,17,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,29,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,2,2,0,0,3,0,0,0,0,0,0,0,2,0,0,0,5,0,0,0,0,1,0,0,0,1,2,0,0,0,0,20,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,6,0,0,2,0,0,0,1,0,0,0,48,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,8,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,1,3,3,0,0,3,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,7,0,0,4,0,0,0,0,0,0,0,0,0,0,1,7,0,0,0,0,0,0,0,0,1,0,0,0,0,0,10,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,38,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,2,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,19,0,0,0,16,3,0,0,14,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,7,0,0,2,0,0,0,0,2,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,1,0,0,0,0,0,6,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,1,0,0,0,0,0,0,8,0,0,0,0,0,10,5,0,0,0,47,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0
0,6,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,8,1,0,0,0,2,1,0,4,1,0,0,3,2,0,0,20,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,6,0,0,2,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,6,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,28,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,32,0,0,0,7,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,5,0,0,4,0,0,0,0,0,0,1,1,1,0,0,10,0,0,0,0,0,0,1,0,1,0,0,0,0,0,11,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,1,0,0,0,8,0,0,3,0,0,1,2,0,0,0,50,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
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0,1,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,1,38,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,27,0,0,0,5,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,1,2,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,1,0,0,0,1,0,0,0,0,0,15,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,15,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,17,0,0,0,6,2,0,0,8,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,1,0,0,0,7,0,0,0,0,0,0,0,0,1,0,0,0,0,0,10,0,0,0,1,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,0,4,0,0,0,0,0,0,1,0,0,0,64,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,10,0,0,0,3,2,0,0,12,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,1,1,0,0,0,0,0,2,1,5,0,0,1,0,0,2,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,1,0,3,0,0,0,1,0,0,0,21,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,6,0,0,20,0,0,2,5,1,0,0,5,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,4,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,8,0,0,0,0,5,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,7,0,0,0,0,0,0,1,0,0,0,43,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,22,1,0,0,5,1,0,0,3,1,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,6,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,17,0,0,0,0,4,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,37,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,9,0,0,2,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,14,0,0,0,3,0,0,0,4,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,5,1,0,0,0,10,0,0,40,1,0,0,7,4,0,0,19,1,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,1,9,0,0,12,0,0,0,0,0,0,0,0,1,0,0,8,0,0,0,0,0,0,0,0,4,0,0,0,0,0,11,0,0,0,0,14,1,0,0,0,0,0,0,1,0,0,2,0,1,0,3,0,0,0,0,0,0,1,0,0,0,0,0,9,0,0,2,0,0,0,0,19,0,1,11,1,0,0,4,0,0,1,111,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,1,0,2,0,0,0,3,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,2,10,1,0,0,8,1,0,0,6,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,4,0,0,3,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0,0,0,5,0,0,3,0,0,0,1,0,1,0,26,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,14,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,14,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,5,0,0,0,0,1,0,0,0,1,0,0,0,5,0,0,0,0,10,0,0,21,2,0,0,8,2,0,0,17,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,4,0,0,1,0,0,0,0,0,0,0,0,2,10,0,0,5,0,0,0,0,3,1,0,0,1,0,1,10,0,0,0,0,0,0,0,0,3,1,0,0,0,0,8,0,0,0,0,13,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,1,0,0,1,0,15,0,1,1,0,0,2,3,0,1,0,84,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,3
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0,8,0,0,0,0,0,0,0,0,18,0,0,0,0,0,0,0,0,0,1,0,24,0,0,0,0,0,0,1,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,0,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,7,0,0,0,18,0,2,0,1,0,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,8,1,0,0,1,0,0,1,0,0,5,1,19,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,32,0,0,0,0,0,21,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,10,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,1,0,0,0,0,0,10,0,0,1,1,0,0,1
0,1,8,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,1,10,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,5,0,0,0,6,0,0,0,3,0,1,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,4,0,92,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,31,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2,0,0,0,4,2,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,3,0,0,0
0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,54,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,1,69,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,30,0,0,1,0,0,21,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,3,0,6,0,0,0,0,0,0,0
0,3,9,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,1,27,0,5,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,4,0,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,1,68,5,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,10,0,0,0,0,0,13,0,0,0,1,1,0,0,0,0,0,0,29,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,2,0,0,0,0,1,0,1,0,0,0,0,4,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,5,0,0,0,2,0,0,0,0,1,0,1,33,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,6,0,0,26,0,0,0,10,0,0,0,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,2,55,4,1,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,1,0,0,0,18,0,0,0,0,0,17,0,0,0,3,1,0,0,0,0,0,0,23,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,15,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1
0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,4,0,0,0,1,1,0,0,1,0,0,0,4,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,2,0,1,0,1,37,9,1,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,6,2,0,0,6,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,24,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,12,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,1,12,0,0,0,2,0,0,0,7,0,0,0,0,0,0,1,0,0,1,2,37,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,3,0,1,4,0,0,0,0,0,0,0,2,0,0,0,0,9,1,0,22,0,0,0,7,2,0,0,11,0,0,1,12,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,15,0,0,0,0,0,0,1,0,0,3,1,143,12,1,0,0,0,0,0,0,0,0,1,0,0,0,0,7,1,0,0,0,0,0,0,0,22,0,0,0,0,0,29,0,0,0,1,15,0,0,0,0,0,0,34,0,0,0,0,0,0,0,3,1,0,0,0,0,0,2,0,0,0,0,1,5,0,0,1,0,0,0,0,5,0,0,1,0,0,0,1,0,0,0,32,5,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,5,2,0,0,0,2,2,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0
0,3,5,0,0,0,0,0,0,1,2,1,0,0,0,1,0,4,0,0,0,2,8,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,2,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,1,39,4,0,0,17,0,0,1,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,4,0,0,1,0,0,0,1,0,0,0,11,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0
0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,25,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,7,0,0,0,0,1,0,0,0,0,0,0,8,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,5,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,0,0,1,0,0,0,0,0,0,0,1,5,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,7,0,0,0,3,0,0,0,0,0,0,4,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
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0,2,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,3,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,6,0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,8,2,78,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,6,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,1,0,0,0
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0,2,1,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,3,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,15,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,3,67,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,8,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,3,0,26,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,3,0,0,0,1,0,4,0,1,0,1,0,0,0
0,2,8,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,0,8,0,0,1,11,0,0,0,5,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,2,44,8,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,2,0,0,0,3,0,0,0,0,0,0,3,0,4,0,43,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,3,0,0,0,2,0,1,0,0,0,0,0,0,0
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1,0,9,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,18,0,0,1,0,0,0,0,0,0,0,15,0,0,0,0,3,1,3,7,1,0,0,0,0,0,0,26,0,1,0,5,0,1,0,0,0,2,0,0,0,0,0,0,0,0,2,3,0,0,3,0,0,0,0,0,1,0,0,19,6,0,0,2,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,3,2,0,0,0,1,0,0,0,0,0,0,15,0,0,0,33,6,0,0,1,0,3,0,0,0,1,1,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
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0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,7,5,59,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,9,2,0,1,0,0,9,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,3,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,19,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,0,3,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,2,4,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,0,1,0,0,0,0,2,0,23,0,1,2,1,0,0,0,0,0,0,35,1,0,0,0,1,0,0,14,0,0,0,3,1,0,0,69,1,0,0,7,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,10,1,0,1,0,1,0,0,0,0,0,2,14,10,0,0,20,0,2,2,0,0,0,0,3,1,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,2,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,5,0,0,2,0,0,1,0,0,0,0,0,1,0,0,17,0,0,0,54,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,1,0,0,0,0,1,4,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,10,3,46,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,1,0,0,0,0,0,0,9,0,1,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,18,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,3,0,0,0,0,0,0,3,0,1,0,26,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0
0,1,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,4,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,2,0,0,1,0,2,1,0,0,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,13,11,65,5,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,0,17,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,0,1,0,0,0
0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,10,0,0,3,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,20,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,1,0,0,0,0,0,0,0,0,4,2,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,13,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,7,0,0,0,0,0,0,0,13,0,0,0,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,4,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,5,0,0,0,3,1,0,0,11,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,5,1,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,1,1,0,0,0,5,0,0,0,0,0,0,8,0,1,0,18,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,1,1,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,16,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,1,0,12,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,6,0,0,0,13,2,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,5,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,11,7,75,2,5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,6,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0
0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,5,0,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0
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1,1,15,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,4,1,0,1,0,0,5,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,9,0,0,0,3,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,7,100,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,23,3,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,3,0,0,0,2,0,3,0,0,0,2,0,0,0
1,0,6,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,0,111,1,4,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,9,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,17,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,1,0,0,0
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1,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,0,4,1,0,0,0,1,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,19,0,0,0,4,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,11,0,0,0,0,1,0,0,0,0,0,0,15,5,0,0,11,0,0,0,0,0,0,0,1,0,0,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,4,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,2,0,0,0,8,0,0,1,0,0,0,2,0,1,0,47,2,1,0,5,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
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1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,1,0,0,4,0,0,0,4,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,2,0,0,0,0,0,0,1,3,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,1,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,5,0,0,0,0,0,3,1,0,0,0,37,0,0,0,1,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,5,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,5,0,0,0,0,11,1,0,0,1,0,0,1,1,0,0,9,1,1,0,4,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,9,0,0,1,0,0,0,0,0,0,0,0,6,4,0,0,17,0,0,0,0,0,0,0,1,0,0,1,5,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,4,3,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,2,0,0,0,7,1,1,2,0,0,0,9,0,0,0,32,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0
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0,7,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,1,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,1,0,0,0,5,1,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,2,2,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,4,0,0,2,0,0,0,0,0,0,0,14,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
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0,3,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,3,1,0,3,1,0,0,2,1,0,0,21,0,0,0,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,16,0,0,2,1,0,0,0,0,0,0,1,7,5,0,0,10,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,1,2,0,0,10,0,0,0,0,0,0,3,0,0,0,15,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,2,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,34,3,2,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,6,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,1,0,0,0,0,3,2,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,37,7,3,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,2,0,0,0,5,1,0,0,7,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,1,0,0,0,0,0,0,0,21,8,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,6,0,0,1,0,0,0,2,0,0,0,13,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0
0,3,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,2,0,10,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,1,0,17,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,3,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,5,2,0,1,0,1,0,0,2,0,2,0,0,0,0,0,6,0,1,0,2,3,0,0,0,2,0,0,1,0,0,1,0,2,0,0,2,0,0,0,2,0,0,2,0,1,0,0,0,0,2,0,0,0,1,0,0,1,0,4,2,0,1,0,0,0,0,0,1,0,1,13,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,2,6,1,0,1,0,2,0,0,21,0,0,0,3,0,3,0,0,0,1,0,0,1,0,1,0,0,0,1,11,0,0,0,0,0,0,0,0,0,0,4,22,8,0,0,37,0,1,2,0,0,1,0,4,0,0,0,10,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,1,0,1,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,8,0,1,2,2,0,0,0,13,0,3,2,0,0,0,5,0,0,0,26,3,1,0,4,0,0,0,0,0,1,2,0,0,0,0,0,0,0,3,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0
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0,2,2,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,0,1,16,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,17,0,0,51,0,0,0,4,2,0,0,7,0,0,0,6,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,6,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,5,0,0,0,0,0,13,0,0,0,1,1,0,0,0,0,0,0,4,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,8,1,0,1,0,0,0,0,6,0,0,2,0,0,2,4,0,0,0,76,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
0,3,5,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,55,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,31,0,0,0,12,2,1,0,7,3,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,1,0,0,0,0,0,58,9,0,1,0,0,0,0,0,0,0,0,2,0,0,0,5,0,0,0,0,0,0,1,0,22,0,0,0,0,0,41,0,0,0,3,1,0,0,0,0,0,0,13,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,2,0,0,0,0,10,0,0,0,0,0,0,3,0,0,1,20,2,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0
0,2,2,0,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0,1,3,0,125,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,7,0,1,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,37,0,0,0,3,0,0,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,1,1,0,0,0,0,0,1,33,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,3,0,24,0,0,0,0,0,67,0,0,0,1,1,0,0,0,0,0,0,5,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,2,3,0,1,0,18,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,1
0,3,2,0,0,0,0,1,0,1,12,0,0,0,0,0,0,0,0,1,0,1,99,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,29,0,0,1,9,1,0,1,3,0,2,0,4,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,1,0,0,0,0,0,4,1,34,8,0,0,0,0,0,0,0,0,0,3,0,0,0,0,6,0,0,0,0,0,0,0,0,28,0,0,0,0,0,102,0,0,0,1,1,1,0,0,0,0,0,12,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,3,0,3,1,0,14,0,0,0,0,0,0,0,0,0,0,0,5,0,1,3,12,1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,32,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,54,0,0,0,0,1,0,0,9,0,0,0,6,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,8,5,0,0,0,0,0,0,0,1,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,10,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,1,22,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,0,0,0,2,0,0,1,1,1,0,0,0,2,0,1,0,0,0,1,13,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,2,1,1,0,0,0,0,0,5,0,0,0,0,9,0,0,20,0,0,0,1,2,0,0,28,1,0,0,15,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,24,0,0,0,0,0,0,0,0,0,0,2,49,11,0,0,12,0,0,0,0,1,1,0,2,0,0,0,9,0,0,0,0,0,0,0,0,2,0,0,0,0,0,13,0,0,0,2,4,1,0,0,0,0,0,6,1,0,0,2,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,1,5,0,0,3,0,0,0,0,14,0,0,4,0,0,1,9,0,0,0,39,4,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0
0,1,6,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,2,28,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,23,0,0,36,0,0,0,2,1,0,0,22,0,0,0,20,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,29,0,0,0,5,0,0,0,0,0,0,1,30,16,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,20,0,1,0,1,8,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,2,0,0,0,0,7,0,1,2,1,0,1,2,0,0,0,21,10,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,3,4,0,0,0,1,0,0,0,5,0,0,0,0,0,0,0,0,0,2,1,78,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,3,0,0,6,0,0,0,0,0,0,0,3,0,0,0,0,6,0,0,60,0,0,0,5,1,0,1,6,0,1,0,14,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,9,0,0,0,2,0,0,0,0,0,2,1,48,15,0,0,0,0,0,0,0,0,0,0,2,0,0,0,8,0,0,0,0,0,0,0,0,25,0,0,0,0,0,44,0,0,0,1,5,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,6,0,0,0,0,5,0,0,1,1,0,0,4,1,1,0,28,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1
0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,2,0,91,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,32,0,0,0,7,3,0,0,4,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,3,0,0,0,0,0,2,0,41,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,37,0,0,0,0,0,36,0,0,0,0,4,0,0,1,0,0,0,13,0,2,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,1,7,0,1,1,0,0,0,0,5,0,0,0,0,0,0,3,0,1,0,22,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,1,1,0,0,0
0,2,1,0,0,0,0,0,0,0,10,0,0,0,0,0,0,2,0,0,0,0,119,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,13,0,0,0,15,0,0,0,3,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,3,0,0,0,0,0,2,0,26,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,6,0,0,0,0,0,0,0,0,16,0,0,0,0,0,84,0,0,0,2,7,0,0,0,0,0,0,7,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,3,0,0,2,6,0,0,0,7,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0
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0,4,0,0,0,0,2,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,104,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,62,0,0,0,7,0,1,0,1,0,1,0,8,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,2,20,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,43,0,0,0,0,0,92,0,0,0,2,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,2,0,0,0,0,0,0,2,0,1,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,3,1,0,0,11,0,0,0,0,0,0,1
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0,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,78,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,22,1,0,0,15,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,22,5,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,7,0,0,0,0,0,43,0,0,0,0,5,0,0,0,0,0,0,12,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,12,0,0,0,2,0,0,0,5,0,0,0,0,0,0,2,0,1,0,23,1,2,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,6,4,0,0,0,5,1,0,1,1,2,0,0,0,1,0,2,0,0,0,1,27,0,1,0,3,0,0,0,0,1,0,0,3,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,4,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,3,1,0,0,0,37,0,1,63,0,0,0,7,3,0,0,49,0,0,0,36,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,26,0,0,3,0,0,0,0,0,0,0,1,38,19,0,0,0,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,1,2,0,0,0,7,0,0,0,0,0,21,0,0,0,0,12,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,1,0,0,0,0,27,0,1,1,0,0,0,7,0,1,1,78,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,3,0,0,0,0,0,1,1,0,1
0,2,3,0,1,0,2,0,0,0,1,1,0,0,0,0,0,2,0,0,0,2,14,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,7,0,0,0,0,17,0,0,33,0,0,0,2,1,0,0,18,0,0,0,15,0,0,3,1,0,0,0,0,0,0,0,1,0,0,1,14,0,0,0,1,0,0,0,0,0,0,0,19,5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,7,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,6,0,0,0,0,0,0,1,0,0,0,0,1,10,0,1,2,0,0,0,0,6,0,0,1,0,0,0,3,0,1,0,16,4,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,10,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,9,0,0,19,1,0,0,3,3,0,0,15,1,1,0,4,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,7,3,0,0,3,0,0,1,0,1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,3,1,0,0,0,0,7,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,4,0,0,1,32,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,59,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,9,1,0,18,0,0,0,4,0,0,0,3,0,0,0,6,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,7,0,0,0,1,2,0,0,0,0,0,0,32,5,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,1,0,0,0,23,0,0,0,0,0,46,0,0,0,2,3,0,1,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,2,2,0,0,2,0,0,0,31,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0
0,7,8,0,0,0,0,1,0,1,0,0,0,0,0,2,0,6,1,0,0,1,7,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,3,0,8,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,4,0,0,13,1,0,0,1,3,0,0,13,0,0,0,3,0,0,2,1,0,0,1,0,0,0,1,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,13,6,0,2,20,0,0,1,0,0,0,2,0,0,0,0,4,0,1,0,0,0,0,1,0,2,1,0,0,0,0,4,0,0,0,1,3,1,0,0,0,0,0,8,0,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,7,0,0,1,2,1,0,0,1,0,0,0,1,0,0,3,0,0,0,16,3,0,0,9,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,2,1,0,0,0
0,2,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,132,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,10,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,4,18,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,1,0,0,0,32,1,0,0,0,0,96,0,0,0,1,1,0,0,0,0,0,0,9,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,6,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,1
0,3,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,2,16,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,10,0,0,27,0,0,0,8,1,0,0,8,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,16,0,0,0,0,0,0,0,0,0,2,3,28,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,21,0,0,0,0,3,0,0,0,0,0,0,10,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,5,0,0,0,8,0,0,0,0,0,0,2,0,0,0,25,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,1,0,0,3,0,127,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,1,0,0,0,9,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,3,21,2,0,0,3,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,0,26,0,0,0,0,0,122,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,2,4,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,10,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,7,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,12,0,0,26,0,0,0,3,0,0,0,18,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,15,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,6,0,0,2,0,0,1,2,0,0,0,20,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,5,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,1,0,0,2,1,78,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,17,0,0,0,8,1,0,0,2,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,7,0,0,0,0,0,2,0,30,7,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,28,0,0,0,0,0,47,0,0,0,2,4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,0,0,3,1,0,0,0,2,0,0,0,0,0,0,4,0,0,0,30,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,1,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,9,1,0,59,0,0,0,0,2,0,0,6,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,16,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,8,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,21,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,1,0,100,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,6,1,0,53,0,0,0,12,0,0,2,6,0,1,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,29,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,16,0,0,0,0,0,49,0,0,0,0,3,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,4,0,0,0,0,7,0,0,0,0,0,0,11,0,0,0,32,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,1
0,0,5,0,0,0,1,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,7,0,1,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,7,0,0,14,0,0,0,3,4,0,0,10,0,0,0,7,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,10,0,0,0,0,0,0,0,0,0,0,0,38,4,0,0,16,0,0,1,1,0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,3,2,0,0,0,0,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,4,3,0,0,0,6,0,0,0,0,0,0,2,0,0,0,13,3,0,0,4,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0
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1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,7,0,0,20,0,0,0,2,0,0,1,8,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,1,0,0,0,0,11,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,15,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
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1,3,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,3,0,10,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,5,2,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,4,0,0,0,0,0,0,0,0,0,3,0,82,4,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,0,12,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,2,0,1,0,0,0,0,2,0,0,0,15,4,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0
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0,0,1,0,0,0,0,0,0,0,8,2,0,0,0,0,0,0,0,0,3,0,46,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,21,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,5,0,0,0,0,0,0,0,0,0,6,0,164,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,47,0,0,1,0,0,28,0,0,0,2,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,2,0,2,0,10,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,3,0,0,0,0,0,0,2,0,2,0,1,0,4,0,0,0,0,0,0,1
0,0,2,0,0,0,0,0,0,0,6,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,3,0,51,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,21,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,0,0,0,0
0,3,3,0,0,0,0,0,0,0,6,0,0,0,0,0,1,0,0,0,1,1,25,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,4,0,1,0,0,0,0,1,0,0,5,1,98,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,23,0,0,4,0,0,35,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,2,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,4,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,1,0,0,0,6,0,0,0,4,0,0,0
0,1,4,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,28,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,7,0,0,2,1,0,0,0,4,0,0,1,0,0,0,0,0,0,0,3,0,0,1,0,5,0,0,0,0,0,0,0,0,0,8,0,68,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,21,0,0,1,0,0,12,0,0,0,1,0,0,0,0,0,0,0,18,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,10,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0
0,1,3,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,6,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,9,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,2,0,0,2,1,24,3,1,0,6,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,2,1,0,0,0,0,0,9,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,5,0,1,0,3,0,0,0,2,0,0,2,0,0,0,2,0,0,0,4,1,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0
0,3,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,3,0,21,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,7,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,51,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,9,0,0,0,0,0,16,0,0,0,1,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,1,0,2,1,0,0,0,2,0,0,0,3,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,5,0,2,0,1,0,1,0,0,0
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0,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,75,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
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0,6,4,0,0,0,1,0,0,0,3,0,0,0,0,0,0,1,0,0,1,0,13,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,6,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,8,2,62,2,1,1,6,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,10,0,0,0,0,0,12,0,0,0,0,1,0,0,0,0,0,0,10,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,6,0,1,0,0,0,0,1,0,0,0,10,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0
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0,5,1,1,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,21,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,1,3,0,0,0,0,15,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,6,0,0,0,7,0,0,0,4,0,1,0,1,0,0,0,1,1,6,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,0,5,1,139,2,0,2,5,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,1,0,0,0,7,0,0,0,0,0,17,0,0,0,0,1,0,0,0,0,0,0,11,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,2,2,1,0,0,1,7,0,1,2,0,0,1,4,0,0,0,10,4,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,2,1,1,0,0,0,1,0,0,1,1,0,9,0,0,0
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1,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,1,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,8,0,0,0,0,0,0,0,0,0,0,0,49,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,3,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0
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0,3,5,0,0,0,0,0,0,0,2,0,0,0,0,0,0,7,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,14,2,103,0,2,0,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,5,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0,3,0,1,0,0,1,0,1,1,0,0,6,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
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0,2,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,27,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,6,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,3,0,0,0,0,1,0,0,0,0,14,2,89,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,21,0,0,0,0,0,15,0,0,0,1,1,0,0,0,0,0,0,23,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,4,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,3,0,0,0,1,0,0,0
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1,0,4,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,3,1,0,0,2,1,0,0,7,0,1,0,3,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,3,10,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,12,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,1,0,0,8,0,0,1,0,0,0,0,23,0,0,0,3,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,5,0,0,0,0,0,0,0,0,0,0,2,10,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,1,2,0,0,0,7,0,0,0,0,2,0,5,0,1,0,21,3,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,28,0,3,1,9,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,1,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,4,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,4,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,4,2,49,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,7,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,16,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,2,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,7,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,27,0,0,0,6,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,7,0,0,0,0,0,0,0,0,0,2,1,12,6,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,5,0,0,0,14,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,7,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,11,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,2,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,1,0,0,1,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,7,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,11,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,1,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,17,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0,1,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,10,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,7,0,1,0,2,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,8,0,0,0,0,0,0,0,0,0,2,1,33,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,17,3,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0
1,2,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,1,0,0,7,0,0,0,3,0,0,0,5,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,9,0,0,0,0,0,0,0,0,0,2,3,64,6,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,3,0,0,0,0,0,0,4,0,0,0,10,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,33,0,2,1,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
1,1,4,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,48,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,8,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,33,6,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,9,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,3,0,0,0,0,0,0,0,9,1,0,0,0,0,0,2,0,0,2,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,18,2,96,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,6,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,3,0,0,0,0,0,0,0
0,4,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,9,0,0,0,3,0,0,0,15,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,15,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,5,0,0,0,0,0,0,1,0,2,1,35,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,2,0,0,0
1,5,8,0,2,0,0,0,0,0,18,0,0,0,0,0,0,1,0,1,1,1,24,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,8,0,0,0,2,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,31,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,29,1,315,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,24,0,0,0,0,0,19,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,19,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,0,0,0,1,0,3,0,0,0,4,0,2,0,1,1,0,0,0,0
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2,3,6,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,2,0,4,0,0,0,2,0,0,0,16,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,14,6,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,5,0,0,0,0,0,0,6,0,0,0,15,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
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1,3,2,0,0,0,0,0,0,0,5,0,0,0,0,0,0,1,0,0,1,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,1,0,0,9,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,1,0,0,0,2,0,1,0,0,0,0,1,0,0,4,1,91,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,1,0,2,0,0,10,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,9,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0
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0,3,11,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,10,7,119,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,11,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,1,0,0,0,0
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1,1,5,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,3,1,0,0,0,2,0,0,29,0,0,0,1,0,0,0,25,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,9,0,0,0,0,0,0,0,0,0,1,0,22,12,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,19,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0
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0,0,1,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,7,2,35,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0
0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,1,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,32,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,0,0,0,0,9,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,2,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0
0,2,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,2,2,46,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,7,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
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0,0,3,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,2,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,15,0,0,0,7,1,0,0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,7,1,72,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,6,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,12,2,0,0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,0
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1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,6,0,2,24,0,0,0,2,0,0,0,21,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,5,0,0,1,0,0,0,1,0,0,0,17,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,45,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,6,0,1,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,66,0,0,0,7,0,0,0,5,0,0,0,1,0,0,2,0,1,0,0,0,0,0,2,0,0,0,0,10,0,0,0,3,0,0,0,0,0,1,0,28,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,26,0,0,0,0,0,21,0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,2,0,0,0,0,4,0,0,0,0,0,0,4,0,1,0,29,1,1,0,0,0,2,0,0,0,0,1,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,1,0,0,0
0,4,1,0,0,0,1,0,0,0,7,0,0,0,0,2,0,1,0,0,3,0,18,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,77,0,0,0,6,1,0,0,2,0,0,0,11,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,7,0,0,0,1,0,0,1,0,0,0,0,9,5,0,0,0,0,0,0,0,0,0,0,2,0,0,0,10,0,0,1,0,0,0,0,0,39,1,0,0,0,0,23,0,0,0,0,4,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,34,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,1,0,2,0,0,0,6,0,0,0,0,1,0,0
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0,3,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,22,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,1,0,106,0,0,0,6,3,0,0,6,0,0,0,5,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,1,0,0,0,3,7,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,8,3,0,0,0,0,15,0,0,0,1,5,0,0,0,0,0,1,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,10,0,0,0,0,0,0,2,0,1,0,45,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0
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1,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,11,1,0,0,0,7,0,0,43,0,0,1,1,2,0,0,36,0,0,0,11,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,16,0,0,0,0,0,0,0,0,0,0,0,16,7,0,0,8,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,6,0,0,0,0,0,0,0,9,0,0,0,2,0,0,5,1,1,0,40,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1
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0,4,3,0,0,0,0,0,0,1,6,1,0,1,0,0,0,0,0,0,1,1,93,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,5,1,0,19,0,0,0,18,0,0,0,2,0,0,0,5,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,7,0,0,0,3,0,0,0,0,0,1,0,32,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,24,0,0,0,0,0,49,0,0,1,2,0,0,0,0,0,0,0,8,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,36,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
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0,1,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,1,0,0,0,1,6,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,5,0,0,0,0,0,27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,3,2,0,0,0,2,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,29,0,1,0,2,1,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,1,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,16,3,0,38,0,0,0,4,2,0,0,32,1,0,0,10,0,0,1,0,0,3,0,0,0,0,0,0,0,0,1,12,0,0,0,0,0,0,1,0,0,0,1,16,13,0,0,0,0,0,0,0,1,0,0,4,0,0,0,4,0,0,0,1,0,0,0,0,6,0,0,0,0,0,15,0,0,0,0,12,2,0,0,0,0,0,8,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,4,1,0,0,0,13,0,0,1,0,1,1,2,0,1,0,36,3,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
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1,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,46,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,15,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,24,0,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1
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3,4,9,0,0,0,0,0,0,3,0,4,0,0,1,0,0,2,2,1,0,1,3,0,3,0,0,0,0,0,0,0,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,2,0,2,2,0,0,0,1,0,0,0,0,0,0,22,0,0,1,0,0,0,0,0,0,0,32,0,0,0,0,1,0,0,6,0,0,1,2,1,0,0,35,0,0,0,7,0,1,3,0,0,3,2,1,0,0,3,0,0,2,2,7,0,0,2,0,0,1,0,0,0,1,0,44,5,1,2,17,0,0,0,1,0,0,0,5,0,0,0,3,0,0,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,1,0,0,1,0,1,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,11,0,1,0,3,0,0,0,2,0,7,1,0,0,0,9,0,1,0,51,12,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,3,2,2,0,0
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1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,1,0,10,0,0,0,4,0,0,0,11,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,3,4,0,0,2,0,0,0,0,0,0,1,4,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,5,0,0,0,1,0,1,9,0,0,0,13,1,1,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,3,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,11,0,0,0,0,0,0,0,19,0,0,0,8,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,13,0,0,0,0,0,0,0,0,0,0,1,12,3,0,0,0,0,0,0,0,0,1,0,2,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,1,0,0,4,0,1,0,4,0,0,1,0,0,0,7,0,0,0,17,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,5,0,0,0,3,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,6,1,0,1,1,2,0,0,17,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,9,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,6,0,0,0,0,0,0,1,0,0,0,17,0,0,0,2,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,2,0,0,0,11,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,16,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,3,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,15,0,0,0,0,0,0,0,30,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,0,0,0,0,0,0,0,0,0,0,0,5,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,3,0,0,0,0,0,0,8,0,0,0,12,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,4,0,19,0,0,0,0,0,1,0,0,0,0,33,0,0,0,0,5,0,1,0,2,0,1,1,2,0,0,61,0,1,0,3,0,0,0,1,0,2,0,0,1,0,0,1,0,0,2,8,0,0,0,0,1,0,0,0,0,0,0,0,7,0,0,24,0,0,0,0,0,1,0,3,1,0,0,5,0,0,0,5,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,3,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,7,0,1,1,1,0,0,0,9,0,1,7,0,0,0,19,0,0,0,19,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,9,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,8,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,4,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,1,1,0,0,4,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,36,1,2,1,7,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,4,0,0,1,0,0,0,0,1,0,0,32,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,20,0,0,1,0,0,0,0,0,0,0,0,10,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,1,1,0,0,0,3,0,0,1,1,0,0,10,0,0,0,14,1,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
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0,5,3,0,0,0,3,0,0,2,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,14,0,0,0,7,1,0,0,32,1,0,0,10,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,1,23,11,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,5,0,0,0,0,0,4,0,0,0,0,16,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,0,0,3,0,0,1,0,0,0,6,0,1,0,23,3,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1
0,6,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,47,2,0,0,0,5,1,4,3,0,0,1,3,1,0,0,70,0,0,1,9,0,1,0,0,0,3,0,0,0,0,0,0,0,0,4,25,1,0,1,0,0,0,0,0,0,0,0,11,7,0,1,16,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,11,0,0,2,4,0,0,0,6,0,1,1,0,0,1,14,0,0,0,23,3,0,0,2,0,0,0,0,0,0,6,0,0,0,0,0,0,0,10,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,1
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1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,16,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,6,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,3,0,1,8,0,0,1,2,1,0,0,42,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,2,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,1,0,0,0,0,7,0,0,0,0,0,0,9,0,0,0,24,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,16,0,0,0,0,2,0,0,3,0,0,1,0,0,0,0,40,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,7,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,1,0,0,0,4,0,0,0,0,0,0,7,0,0,0,11,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,11,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,3,0,0,0,0,0,1,0,11,0,0,0,11,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,0,17,3,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,1,0,0,0,0,0,0,0,11,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,2,0,0,0,10,5,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0
0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,2,0,0,3,0,0,1,0,1,0,0,33,0,0,0,11,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,8,0,0,0,0,0,0,0,0,0,0,0,11,2,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,0,4,0,0,1,0,0,0,10,0,1,0,5,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,11,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,82,5,49,2,39,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,6,1,0,0,0,0,0,0,0,0,1,0,3,3,0,0,10,0,4,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,2,0,0,0,3,5,0,0,0,5,0,0,0,0,0,2,0,2,5,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,58,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,4,2,0,0,0,1,0,1,0,0,0,0,3,1,0,0,0,0,2,0,0,0,2,0,1,0,0,0,3,1,0,0,0,7,1,1,1,3,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,8,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,5,0,4
1,1,7,0,1,0,1,0,0,0,1,3,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,7,1,0,0,0,1,0,0,3,0,0,1,4,2,0,0,19,1,1,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,15,0,1,1,0,0,1,0,0,0,0,1,57,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,3,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,5,0,0,0,22,5,0,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
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0,6,1,0,1,0,1,1,0,0,0,1,0,0,0,0,2,2,1,3,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,2,0,0,2,0,0,0,0,1,0,0,25,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,7,0,0,0,0,0,0,0,0,0,0,0,4,4,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,2,0,0,0,4,0,0,1,5,3,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,16,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,34,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,3,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,9,1,0,0,4,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,1,0,1,3,0,0,1,0,0,0,0,0,2,0,5,0,0,1,0,0,1,0,0,0,0,34,0,0,0,0,4,0,1,5,1,0,1,1,1,0,0,37,0,0,0,2,0,0,0,0,0,1,0,2,0,0,0,0,0,1,1,5,0,0,1,0,0,0,0,0,0,0,0,3,8,0,0,16,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,6,0,2,1,0,0,0,0,0,0,3,0,1,0,0,5,1,0,0,13,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
0,7,2,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,2,0,0,0,0,0,0,0,8,2,0,0,0,7,0,0,24,0,0,0,1,0,0,0,37,2,0,0,16,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,17,0,0,1,1,0,0,0,0,0,1,0,36,17,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,4,0,0,0,0,11,0,0,0,0,0,0,7,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0,4,0,0,0,0,0,0,10,0,1,0,21,3,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,1,5,1,8,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,2,1,0,0,0,0,6,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,2,2,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,2,0,0,0,0,0,6,0,0,0,0,0,0,6,0,6
1,0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,2,0,11,0,0,0,0,0,0,0,0,0,0,24,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,63,0,0,0,5,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,5,0,0,1,0,0,0,0,0,0,0,0,6,2,0,0,12,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,7,2,0,1,0,0,0,0,17,0,0,7,0,0,0,14,0,0,0,9,4,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,7,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,5,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,34,0,8,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,19,0,0,1,0,0,0,0,0,0,0,3,1,0,1,0,0,0,1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,3,0,6,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,4,0,2
0,0,5,0,0,0,2,1,0,0,3,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,11,0,0,0,0,3,0,0,11,0,0,0,1,0,0,0,43,0,0,0,12,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,23,0,0,0,0,0,0,0,0,0,0,1,14,9,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,6,0,0,0,0,5,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,7,0,0,3,0,0,0,2,0,0,0,26,1,0,0,6,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,5,7,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,3,0,0,1,9,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,3,0,0,1,0,0,0,0,0,0,0,8,0,0,0,0,6,1,0,16,0,0,0,5,2,0,0,60,0,0,0,17,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,18,0,0,2,0,0,0,0,0,0,0,1,35,19,0,0,1,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,5,0,0,0,0,0,3,0,0,0,0,6,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,4,1,0,1,1,0,1,0,9,0,0,0,0,0,0,11,0,1,0,29,7,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
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0,4,2,0,0,0,2,0,0,4,1,1,0,0,0,1,0,1,0,0,0,1,11,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,1,0,30,0,0,0,0,0,0,0,38,0,0,0,6,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,6,0,0,0,0,0,0,0,0,0,0,0,24,16,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,8,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,1,3,0,0,0,10,0,0,1,0,0,0,5,0,0,0,35,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0
0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,28,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,6,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,2,0,0,0,0,0,0,11,0,0,0,10,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,7,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,1,0,27,0,0,0,10,3,0,0,11,0,0,0,9,0,0,2,0,0,0,0,1,0,0,2,0,0,0,3,25,0,0,0,0,0,2,0,0,0,0,0,42,14,0,0,1,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,0,0,8,0,0,0,0,9,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,1,0,0,0,6,0,0,0,0,0,1,7,0,0,0,16,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,9,1,0,0,1,1,0,0,26,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,2,4,0,0,2,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,9,0,0,1,0,0,0,5,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,12,1,0,0,0,5,0,0,1,0,0,0,1,0,0,0,32,1,0,0,2,0,1,0,0,0,3,0,0,0,0,0,0,0,0,2,9,0,0,2,0,1,0,0,0,0,0,0,5,6,0,0,5,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,1,2,2,0,0,0,6,0,1,0,0,0,0,18,0,0,0,10,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,3,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,2,0,3,0,1,0,0,18,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,31,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,6,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,2,0,0,0,2,0,1,2,0,0,1,13,3,0,0,10,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,5,11,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,6,0,0,1,0,0,0,0,0,0,0,6,1,0,0,0,5,0,0,11,0,0,0,1,1,0,0,46,0,0,0,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,28,0,0,0,0,0,0,0,0,0,0,0,35,11,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,0,0,4,0,0,0,0,0,0,6,0,1,0,17,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,8,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,18,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,16,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,3,1,1,0,0,3,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,3,0,0,12,0,0,0,1,1,0,0,25,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,4,0,0,0,13,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,15,0,0,0,0,0,0,0,17,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,5,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,3,0,1,0,0,1,1,0,0,0,0,0,0,5,0,0,0,0,2,2,0,8,0,0,1,2,0,0,0,24,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,1,0,0,0,0,0,0,0,0,3,3,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,4,0,0,0,20,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,3,5,0,0,0,6,0,0,0,3,1,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,5,1,0,0,0,8,0,0,5,0,0,0,2,1,0,0,55,1,0,0,17,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,25,0,0,0,0,0,0,0,0,0,0,2,24,4,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,3,0,0,0,1,8,1,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,8,0,0,0,0,0,1,4,0,0,1,30,7,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0
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0,0,13,0,0,0,4,0,0,0,3,0,0,0,0,0,1,3,0,1,0,3,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,11,0,0,0,10,0,0,5,0,0,0,0,0,0,0,4,1,0,0,0,13,0,0,1,0,0,0,0,0,0,1,2,122,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,21,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,2,0,0,1,2,0,0,0,5,0,0,0,0,0,0,2,0,0,0,9,10,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,9,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,4,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,21,0,0,0,0,6,0,0,1,0,0,0,0,0,0,0,48,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,6,0,0,0,13,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,10,0,0,0,0,4,0,2,8,0,0,0,7,1,0,0,50,0,0,0,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,1,0,0,0,0,0,0,0,0,5,2,0,0,2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,14,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,0,7,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,14,1,0,0,0,7,0,0,4,0,0,0,1,1,0,0,68,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,10,0,0,0,0,0,0,0,0,0,0,0,4,4,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,5,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,8,0,0,0,0,0,0,13,0,0,0,21,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,6,1,0,0,0,2,2,0,1,0,1,0,0,0,0,0,1,1,1,0,0,5,0,2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,4,2,0,0,1,0,0,0,1,6,0,7,0,0,3,0,0,0,0,0,0,0,46,0,0,0,0,4,0,0,7,3,0,1,4,1,0,0,78,1,0,0,8,0,4,4,0,0,0,2,0,0,0,3,2,0,0,2,18,1,0,0,0,1,1,0,0,0,0,1,7,7,1,0,23,0,0,0,0,0,3,0,1,1,0,0,0,0,2,0,5,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,1,1,0,0,0,1,6,0,0,2,1,0,1,0,13,0,2,3,0,0,0,31,1,0,0,18,3,1,0,3,0,0,0,0,1,0,1,0,1,0,0,0,0,0,7,0,0,0,2,0,1,0,0,0,0,3,1,0,0,1,0,0,0,0,1
2,2,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,2,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,3,0,8,0,0,0,0,0,0,0,0,0,0,28,0,0,0,0,2,0,0,7,3,0,3,0,1,0,0,140,3,0,0,7,0,5,1,0,0,3,0,0,0,0,1,0,0,0,4,13,0,0,0,0,1,0,0,0,0,0,1,9,6,0,0,20,0,2,0,0,1,2,0,4,1,0,1,3,0,1,0,2,0,0,0,1,0,2,0,0,0,0,3,0,0,0,0,5,0,0,0,1,0,0,1,0,0,0,3,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,7,0,0,3,1,0,0,0,10,0,0,0,1,0,0,21,0,0,0,29,3,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,6,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,46,0,0,0,10,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,12,2,0,0,6,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,3,0,0,0,6,0,0,0,1,0,0,11,0,0,0,15,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,7,1,0,0,0,2,0,0,3,0,0,0,0,0,0,0,46,0,0,0,16,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,13,0,0,0,0,0,0,0,0,0,0,0,12,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,4,1,0,0,6,4,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,3,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,8,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,6,0,0,29,0,0,0,3,3,0,1,34,0,0,0,15,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,21,0,0,0,1,0,0,0,0,0,0,0,23,9,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,7,0,0,0,0,0,6,0,0,0,0,8,0,0,0,0,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,2,0,0,0,0,0,0,7,0,0,0,11,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
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0,2,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,12,0,0,1,0,0,1,0,0,0,0,13,0,0,0,0,3,0,0,1,0,0,2,1,0,0,0,49,0,0,0,4,0,2,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,29,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,1,0,0,0,0,3,0,0,4,0,0,0,10,0,0,0,22,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,23,5,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,6,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,5,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,17,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,5,0,0,0,8,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,23,3,0,0,0,6,0,0,3,1,0,5,1,1,0,0,74,1,0,0,13,0,1,0,0,0,2,0,0,0,1,0,2,0,0,1,19,0,0,0,0,0,0,0,0,0,0,0,12,5,0,0,4,0,0,1,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,3,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,1,0,0,0,2,3,0,0,0,2,0,1,6,1,1,0,25,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,7,0,0,2,0,0,0,1,1,0,0,31,0,3,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,6,0,0,8,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,7,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,1,0,0,0,2,0,0,0,19,0,0,0,3,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,19,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,6,0,0,0,0,0,0,0,0,0,0,0,7,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,19,0,0,0,0,4,0,2,3,0,0,2,0,0,0,0,60,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,7,0,0,1,0,0,0,0,0,0,0,0,2,5,0,0,4,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,8,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,1,0,0,0,0,7,0,0,0,0,0,0,11,0,0,0,17,2,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,9,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,11,0,0,0,0,6,0,0,9,0,0,0,1,3,0,0,56,1,0,0,18,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,25,0,0,0,0,0,0,0,0,1,0,0,33,5,0,1,5,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0,6,0,0,0,0,8,1,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,9,0,0,3,0,0,0,8,0,0,0,17,10,1,0,4,0,0,0,0,0,0,3,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,3,0,0,0,0,3,0,0,1,4,0,0,0,0,0,0,0,1,1,0,1,3,0,0,0,2,2,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,14,2,0,0,3,1,0,0,22,0,0,0,7,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,5,10,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,4,0,0,0,0,5,0,0,0,0,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,5,0,1,0,0,0,0,3,0,0,0,29,2,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,36,1,3,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,5,0,0,3,0,0,0,0,0,0,0,59,1,0,0,11,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,19,0,0,0,0,0,0,0,0,0,0,0,15,6,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,3,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,5,0,0,0,4,4,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
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2,3,3,0,0,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,7,0,0,0,0,0,0,0,0,0,0,29,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,24,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,1,1,0,0,0,0,1,6,0,0,0,20,0,0,0,0,0,2,0,1,2,0,0,3,0,1,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,2,0,1,0,0,0,3,0,3,0,0,0,0,4,0,0,0,0,0,8,0,0,1,3,1,0,0,1,0,0,2,0,0,0,10,1,0,0,9,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0
1,1,4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,6,0,0,15,0,0,0,1,0,0,0,42,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,12,6,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,8,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,5,0,0,1,0,3,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,22,0,0,0,0,4,0,1,2,0,0,0,1,1,0,0,55,0,0,0,5,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,6,0,0,0,0,0,0,7,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,1,0,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,13,0,0,0,5,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,2,1,0,1,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,12,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,29,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,4,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,5,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,5,1,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,4,0,0,6,0,0,1,0,0,0,0,51,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6,0,0,2,0,0,0,0,0,0,0,0,1,4,0,0,8,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,1,1,0,0,7,0,0,0,16,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4
0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,4,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,9,0,0,3,0,0,0,0,0,0,0,65,1,0,0,8,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,6,9,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,3,0,0,0,0,0,0,12,0,0,0,19,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,6,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,28,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,6,0,0,10,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,1,0,1,1,1,0,0,5,0,1,0,0,0,0,4,0,1,0,5,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0
0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,3,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,1,0,1,2,1,0,1,1,0,0,0,28,0,0,0,7,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,1,0,0,0,0,0,0,0,0,1,7,0,0,12,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,4,1,1,0,0,0,0,5,0,0,0,14,1,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,0,1,0,0,17,0,0,0,1,2,0,0,28,0,0,0,6,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,1,7,11,0,0,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,11,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,30,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
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0,4,3,0,2,0,3,0,0,0,2,1,0,0,0,0,0,2,0,1,0,0,12,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,4,0,0,27,1,0,0,6,0,0,0,20,0,0,0,17,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,48,20,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,1,0,1,1,0,0,0,8,0,0,0,0,0,7,0,0,0,0,17,0,0,0,0,0,0,11,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,5,0,0,3,0,0,0,11,0,0,0,20,3,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0
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0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,6,0,2,6,0,0,0,2,1,0,0,77,0,0,0,10,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,29,0,0,0,0,0,0,0,0,0,0,0,3,6,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,3,0,0,0,0,5,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,3,0,0,3,0,0,0,16,0,0,0,28,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
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0,2,8,0,1,0,5,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,10,3,0,0,0,6,0,0,6,0,0,0,3,1,0,0,42,0,0,0,7,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,20,0,0,1,0,0,0,0,0,0,1,1,15,3,0,1,1,0,0,0,0,0,0,0,2,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,7,1,0,0,0,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,3,1,0,1,0,0,0,7,0,0,0,23,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
1,1,1,0,1,0,1,2,0,1,2,0,0,0,0,2,0,0,0,0,0,2,4,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,7,2,0,0,0,2,0,2,14,1,0,1,0,1,0,0,47,1,0,0,12,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,11,0,1,0,0,0,0,0,0,0,0,0,9,13,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,4,0,1,0,0,0,0,9,0,0,0,21,5,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,18,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,4,0,0,2,1,0,0,0,0,0,0,24,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,7,0,0,5,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,7,0,0,3,0,0,0,0,0,0,0,4,0,0,0,2,0,0,2,9,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,13,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,3,0,0,0,0,0,0,0,5,0,0,0,6,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,1,0,0,0,8,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,5,5,0,0,1,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,7,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,2,0,0,0,0,0,0,1,5,0,0,0,0,5,0,1,22,0,0,0,1,1,0,0,43,0,0,0,8,0,1,2,0,0,1,0,0,0,0,1,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,15,14,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,1,11,0,0,0,0,0,0,5,4,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,7,1,0,1,1,0,0,0,8,0,0,0,1,0,0,5,0,1,0,27,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,1,0,0,0,1,0,0,14,0,0,0,0,0,0,1,28,0,0,0,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,4,4,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,1,0,1,0,0,8,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,4,0,1,36,1,0,0,0,4,0,0,63,1,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,1,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,4,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,1,0,0,0,5,0,0,1,22,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,26,0,0,0,1,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,3,8,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,1,11,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,37,3,2,0,17,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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1,2,3,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,9,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,13,1,0,0,4,0,0,0,26,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,1,0,1,0,0,0,0,0,0,1,25,12,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,4,1,0,0,0,0,7,0,0,0,0,2,0,0,0,0,0,0,9,0,0,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,2,1,0,0,0,0,5,0,0,0,0,0,0,6,0,0,1,26,7,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,1,4,0,0,0,0,3,0,0,1,0,0,1,0,0,0,0,29,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,5,0,0,0,0,0,0,0,1,0,0,2,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,1,0,0,0,0,8,0,0,0,0,0,0,2,0,0,0,6,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,5,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,9,0,0,0,0,3,0,0,8,0,0,0,0,1,0,0,46,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,4,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,5,0,0,0,0,0,1,10,0,0,0,5,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,33,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,8,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,6,0,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,9,1,0,0,0,3,1,0,1,0,0,1,0,1,0,0,29,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,5,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,3,0,0,6,0,0,0,0,1,0,0,42,0,0,0,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,9,0,0,0,0,1,0,0,0,0,0,0,1,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,4,0,0,0,0,0,0,7,0,0,0,13,1,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0
0,2,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,14,1,0,0,0,5,0,2,9,1,0,0,2,0,0,0,59,0,0,0,21,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,30,0,0,1,0,0,1,0,0,0,1,1,28,8,0,0,3,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,6,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,9,0,0,0,10,6,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,6,1,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,5,1,0,3,0,0,0,0,1,0,0,49,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,5,0,1,0,1,0,0,2,0,0,0,12,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,3,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,24,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,0,0,0,0,0,0,12,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,11,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,5,0,0,0,0,0,0,0,3,1,0,0,7,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
1,4,0,0,1,0,3,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,9,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,11,1,0,59,1,0,1,0,1,0,0,19,0,0,0,3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,5,7,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,2,0,0,1,0,11,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,8,0,0,0,40,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,1,0,1,3,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,10,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,1,0,0,1,0,0,0,0,4,0,0,13,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,3,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,5,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,6,2,0,0,0,2,0,1,1,0,0,0,2,0,0,0,6,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,2,0,0,2,0,0,1,0,0,0,0,7,0,0,0,0,0,1,0,2,0,3,0,0,0,0,0,1,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,7,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,2,2,0,0,0,0,0,4,1,0,0,0,6,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,2,1,0,0,0,1,0,0,0,5,0,0,0,0,0,0,1,0,0,1,0,73,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,38,0,0,0,2,0,0,0,3,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,19,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,1,0,0,0,0,37,0,0,0,0,1,0,0,0,0,0,0,18,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,26,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,1
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0,3,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,21,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,16,0,2,64,0,0,0,8,7,0,0,10,1,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,9,0,0,3,0,0,0,0,0,0,0,0,4,7,0,0,0,0,0,0,0,2,0,0,5,2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,20,0,0,0,0,14,0,0,0,0,0,0,2,0,0,2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,12,0,0,0,1,0,0,10,0,3,0,68,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,2,0,4,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,17,1,0,0,1,0,0,0,3,0,0,0,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,9,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,6,0,0,0,0,2,0,0,0,0,0,0,7,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,18,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,3,0,0,0,3,0,0,0,4,0,0,0,0,0,0,2,0,0,0,1,26,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,5,0,1,0,0,0,0,1,1,1,0,0,0,6,0,0,54,0,0,0,8,2,0,0,17,0,0,0,12,0,0,2,0,0,2,0,0,1,0,4,0,0,0,0,23,0,0,1,0,0,0,0,0,0,0,0,28,9,0,0,0,0,0,0,0,1,0,0,0,1,1,0,3,0,0,0,0,0,0,0,0,10,0,0,0,0,0,16,0,0,0,0,2,3,0,0,0,0,0,10,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,6,0,0,1,0,0,0,7,0,0,0,44,5,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0
0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,55,0,0,0,1,0,0,1,13,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,6,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,6,0,0,0,0,0,12,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,1,6,0,0,0,30,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,7,0,0,0,0,5,0,0,64,0,0,0,5,0,0,0,20,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,6,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,2,0,0,0,0,12,0,0,0,0,0,0,10,0,0,0,20,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,1
0,0,2,0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,1,2,39,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,31,0,0,0,7,3,0,1,2,1,0,0,4,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,8,0,0,0,4,0,0,0,0,0,0,1,76,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,22,0,0,0,0,0,23,1,0,0,0,3,0,0,0,0,0,0,10,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,3,1,1,0,1,0,0,0,6,0,0,2,0,0,0,3,0,3,0,56,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,6,0,0,0,0,0,0,2
0,2,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,3,0,0,3,0,83,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,3,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,20,2,0,0,13,2,0,0,1,0,0,0,4,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,10,0,0,0,2,0,0,0,0,0,3,3,59,9,1,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,0,0,41,0,0,0,0,0,75,0,0,0,1,2,0,0,0,0,0,0,13,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,2,0,0,0,0,1,0,0,1,0,0,1,3,0,2,0,45,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1
0,2,2,1,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,30,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,1,0,0,6,0,0,0,0,0,0,0,1,0,0,0,0,6,0,0,66,0,0,0,5,0,0,0,12,0,0,0,6,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,9,0,0,0,0,0,0,0,0,0,1,0,22,9,0,1,0,0,0,0,0,0,0,0,5,1,0,0,0,0,0,0,0,1,0,0,0,15,0,0,0,1,0,17,1,0,0,0,3,0,0,0,0,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,42,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1
1,5,3,0,0,0,7,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,9,1,2,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,2,0,0,12,1,0,0,0,12,0,2,36,0,0,0,7,1,0,0,62,0,0,0,15,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,18,0,0,0,0,0,0,0,0,0,0,0,23,15,0,0,6,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,0,0,9,4,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,1,1,0,1,0,0,0,6,0,0,1,0,0,0,8,0,0,2,44,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,1,4,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,9,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,11,0,1,0,0,5,1,0,58,0,0,1,6,0,0,1,39,0,3,0,9,0,2,0,0,0,1,0,1,0,0,0,0,0,0,2,12,0,0,0,1,0,0,0,0,0,0,0,9,4,0,0,3,0,0,0,0,2,0,0,2,0,0,0,5,0,0,0,2,0,0,0,0,4,0,0,0,0,0,17,0,0,0,0,7,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,2,0,0,0,0,10,0,11,0,4,0,0,6,0,0,0,50,0,0,0,1,0,0,0,0,0,0,5,0,0,0,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0
0,3,1,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,18,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,10,0,0,59,0,0,0,1,0,0,0,23,0,0,0,8,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,6,0,0,0,0,0,0,0,0,0,0,0,10,6,0,0,0,0,0,0,0,1,1,0,2,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,23,0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,1,0,0,0,0,11,0,0,3,0,0,0,8,0,1,0,53,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0
0,1,2,0,0,0,1,0,0,0,5,0,0,0,0,0,0,0,0,0,0,2,48,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,5,0,2,50,0,0,0,6,1,0,1,8,2,0,0,4,0,0,4,0,0,2,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,3,0,42,10,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,12,0,0,0,0,0,38,0,0,0,1,1,0,0,0,0,0,0,8,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,2,0,2,7,0,0,0,10,0,0,0,0,0,0,7,0,2,0,43,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0
0,0,1,0,0,0,1,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,26,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,4,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,7,0,0,82,0,0,1,8,0,0,0,16,0,0,0,8,0,0,1,0,0,0,0,0,0,0,4,0,0,0,1,7,0,0,2,0,0,0,0,0,0,0,0,4,13,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,4,1,0,0,0,0,11,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,11,0,0,0,0,0,0,12,0,2,0,87,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1
0,2,0,0,0,0,0,0,0,0,19,0,0,0,0,0,0,0,0,0,0,0,83,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,14,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,44,4,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,15,0,0,0,0,0,43,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,2,0,1,0,6,0,0,0,0,0,0,0
0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,52,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,14,0,1,80,0,0,0,5,3,0,0,14,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,0,0,0,0,0,0,0,0,0,0,0,2,7,0,0,3,0,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,24,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,10,0,0,7,1,0,0,0,11,0,0,0,0,0,1,3,0,0,0,57,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,1,0,7,0,1,67,0,0,0,2,2,0,1,4,0,2,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,14,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,13,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,3,0,2,0,1,0,0,6,0,0,0,21,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0
0,2,1,0,0,0,1,0,0,0,7,0,0,0,0,0,0,0,0,0,0,1,99,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,22,0,0,0,7,0,0,0,9,0,1,1,5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,1,1,0,0,0,0,2,61,7,1,3,0,0,0,0,0,0,0,0,2,0,0,0,8,0,0,0,0,0,0,1,0,23,0,0,1,0,0,44,0,0,0,1,1,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,34,1,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,3,0,2,0,0,0,0,0,0,0
0,5,0,0,0,0,4,0,0,0,1,0,0,1,0,1,2,0,0,0,0,1,44,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,4,1,0,0,0,10,0,0,72,2,0,0,10,5,0,1,29,0,0,0,7,0,1,1,0,0,4,1,0,1,0,1,0,0,0,1,6,0,0,0,0,0,1,0,0,0,0,0,1,14,0,0,3,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,6,0,0,0,0,0,25,0,0,0,0,8,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,8,0,0,7,1,0,0,0,18,0,0,0,0,0,1,6,0,0,1,53,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,7,0,0,0,0,5,0,0,44,1,0,0,2,0,0,0,38,0,0,0,8,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,6,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,9,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,19,0,0,0,20,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,6,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,12,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,32,0,0,0,5,0,0,0,15,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,12,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,4,0,3,0,0,0,1,4,0,0,0,25,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,15,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,5,0,0,30,0,0,0,2,0,0,1,13,1,0,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,3,0,0,0,0,2,0,0,0,0,0,0,5,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,18,0,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,0,1,1,0,0,0,8,0,0,0,0,0,0,11,0,0,0,21,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,6,1,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,26,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,10,2,0,72,0,0,0,4,1,0,0,19,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,3,9,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,6,0,0,0,0,0,22,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,2,0,1,0,0,0,0,7,0,0,1,1,0,1,2,0,1,1,54,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1
0,0,3,0,1,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,1,0,68,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,37,0,0,0,12,2,0,0,11,0,0,0,7,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,8,0,0,0,0,1,0,0,0,0,0,2,42,5,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,24,0,0,0,0,0,60,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,3,0,0,0,8,0,0,0,0,0,1,6,0,0,0,58,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,2,0,0,0,0,1,0,0
1,2,2,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,2,0,1,1,57,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,2,0,0,0,0,6,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,51,0,0,0,10,0,1,0,7,0,0,0,4,0,0,2,0,0,3,0,0,0,0,2,0,0,0,0,9,0,0,0,0,0,0,0,0,0,1,2,67,6,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,25,0,0,0,0,0,23,0,0,0,0,3,1,0,2,0,0,0,9,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,11,0,0,0,1,0,1,1,0,3,0,55,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,3,0,0,0,0,0,0,0
0,5,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,34,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,27,0,0,0,3,1,0,1,5,2,0,0,3,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,19,7,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,5,0,0,0,0,0,27,0,0,0,0,9,2,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,2,0,0,0,7,0,0,0,0,0,0,3,0,0,0,38,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,2,1,0,0,0,1,0,0,1,2,0,0,0,0,0,0,2,0,0,0,1,82,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,7,0,0,0,0,0,0,0,2,0,0,0,0,8,0,0,116,1,0,0,6,1,0,0,9,0,0,0,12,0,0,0,0,0,1,1,1,0,0,4,0,0,1,1,20,0,0,0,0,0,0,0,0,0,0,0,21,12,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,1,0,1,0,21,0,0,0,0,0,38,0,0,0,0,5,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,8,0,0,4,0,0,0,0,4,0,0,0,0,0,3,5,0,1,0,97,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0
0,5,1,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,1,0,89,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,13,0,0,0,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,1,46,7,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,19,0,0,0,0,0,90,0,0,0,0,1,0,0,0,0,0,0,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,6,2,0,0,0,6,0,0,0,0,0,0,2,0,0,0,28,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,0,2,0,0,0
0,1,0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,23,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,6,0,3,69,1,0,0,5,2,0,0,28,1,0,0,8,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,7,0,0,0,0,0,0,0,0,0,0,1,3,12,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,0,1,0,0,0,2,0,0,0,0,0,11,0,0,0,0,6,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,12,0,0,0,0,0,0,8,0,0,0,26,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0
0,4,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,40,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,3,0,0,0,0,7,0,1,73,0,0,0,0,0,0,0,12,0,0,0,4,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,4,0,0,0,0,1,0,0,0,0,0,0,4,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,24,0,0,0,0,10,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,1,0,0,0,0,5,0,0,0,0,0,0,5,0,3,2,61,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0
0,2,2,0,0,0,0,0,0,0,6,0,0,0,0,0,0,1,0,0,3,0,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,5,0,2,0,0,5,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,27,0,0,0,27,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,2,0,68,4,0,0,0,0,0,0,0,0,0,0,2,0,0,1,5,1,0,0,0,0,0,0,0,13,0,0,0,0,0,53,0,0,0,0,4,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,3,2,0,0,0,5,0,0,0,0,0,0,2,0,1,0,35,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0
0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,20,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,7,0,0,0,0,8,1,0,70,0,0,0,2,1,0,0,18,1,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,10,22,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,8,0,0,0,0,8,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,1,0,3,0,0,0,0,11,0,0,0,1,0,0,11,0,0,1,47,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,1,0,48,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,3,0,0,43,0,0,0,3,0,0,2,1,0,0,0,7,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,24,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,14,0,0,0,0,0,42,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,1,0,20,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
0,3,1,0,1,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,37,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,8,1,0,91,1,0,0,2,1,0,0,8,1,0,0,6,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,4,0,0,0,1,0,0,0,0,0,0,0,6,14,0,0,1,0,0,0,0,6,0,1,1,0,0,0,4,0,0,0,0,0,0,0,0,8,0,0,0,0,0,20,1,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,1,0,0,0,0,6,0,0,0,0,0,0,13,0,1,3,65,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,21,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,1,0,43,0,0,0,3,1,0,0,14,0,0,0,8,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,20,2,0,0,2,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,5,1,0,0,0,0,11,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,15,0,0,1,0,0,1,6,0,0,2,70,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0
0,3,4,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,46,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,32,0,0,0,12,0,0,0,4,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,31,2,0,1,0,0,0,0,0,0,0,0,8,0,0,1,1,0,0,0,0,0,0,0,0,7,0,0,0,0,0,35,1,0,0,0,4,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,9,0,1,0,0,0,0,0,9,0,0,1,0,0,0,2,0,0,0,44,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0
0,2,2,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,62,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,42,0,0,0,7,0,0,0,8,0,0,0,6,0,1,2,0,0,1,0,0,0,0,1,0,0,1,0,4,0,0,0,1,0,0,0,0,0,2,1,55,6,0,1,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,11,0,0,0,1,0,35,0,0,0,1,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,1,3,0,0,0,6,0,1,0,0,0,0,5,0,0,0,46,1,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,0,0,55,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,38,0,0,0,1,0,0,0,12,0,0,0,9,0,0,2,0,0,1,0,0,0,0,1,0,0,0,1,5,0,0,0,3,0,0,0,0,0,0,1,11,8,0,1,1,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,9,0,0,0,0,0,31,0,0,0,2,9,1,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,0,0,0,0,8,0,0,0,1,0,1,3,0,1,0,37,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,0,3,0,0,0,0,0,0,0,5,0,0,0,0,9,0,0,89,0,0,0,2,0,0,0,31,0,0,0,16,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,16,14,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,10,0,0,0,0,0,11,0,0,0,0,3,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,5,0,0,0,0,0,1,7,0,0,0,34,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,3,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,31,0,0,0,2,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,0,0,2,0,1,0,0,0,3,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,5,0,1,34,0,0,0,16,1,0,0,2,0,0,0,3,0,0,1,0,0,3,0,0,0,0,2,0,0,0,1,11,0,0,0,0,0,0,0,0,0,0,0,22,7,0,0,1,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,1,14,0,0,0,0,0,33,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,1,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,7,0,0,0,0,0,1,4,0,0,0,70,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
0,8,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,32,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,7,0,0,64,1,0,0,3,1,0,0,9,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,1,0,0,0,0,1,0,1,1,0,0,0,8,0,0,0,0,0,0,0,0,1,1,0,0,0,0,23,0,0,0,0,6,1,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,8,0,0,2,0,0,0,0,10,0,0,0,0,0,0,10,0,0,0,45,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,64,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,16,0,0,1,10,0,0,0,4,1,0,0,4,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,1,27,4,0,0,0,0,0,0,0,0,0,0,5,0,0,0,4,0,0,0,0,0,0,0,0,13,0,0,0,0,0,33,0,0,0,2,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,7,0,0,0,0,0,3,4,0,0,0,28,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2
0,4,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,18,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,4,1,0,0,0,13,0,0,99,0,0,0,0,0,0,0,36,0,0,0,13,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,2,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,5,0,0,0,0,0,29,0,0,0,0,14,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,2,0,0,0,0,9,0,0,0,0,0,0,12,0,4,0,77,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0
0,1,1,0,0,0,2,0,0,2,1,0,0,0,0,1,0,0,1,0,0,1,42,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,5,0,2,23,0,0,1,3,1,1,0,14,0,0,0,5,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,7,0,0,0,0,1,0,0,1,0,0,0,23,8,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,7,0,0,0,0,0,15,0,0,0,1,7,0,0,0,0,0,0,4,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,2,4,0,0,0,13,0,0,0,0,0,2,4,0,0,0,49,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0
0,3,5,0,0,0,1,0,0,1,8,0,0,0,0,0,0,0,0,0,0,0,73,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,3,0,0,0,0,1,0,0,0,1,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,32,0,0,0,9,1,0,0,9,1,0,0,2,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,3,0,0,0,1,1,1,0,0,0,0,0,52,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,18,0,0,0,0,0,49,0,0,0,5,4,0,0,0,0,0,0,6,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,5,0,0,0,0,12,0,0,0,1,0,0,4,0,0,0,62,0,0,0,2,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2
0,9,0,0,0,0,1,1,0,0,3,0,0,0,0,0,1,0,0,0,1,1,28,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,39,0,0,0,6,3,0,1,9,1,0,0,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,21,10,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,3,1,0,0,0,7,0,0,0,0,0,20,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,1,1,0,0,0,7,0,0,0,2,0,1,1,0,0,0,35,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1
0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,59,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,70,0,0,0,2,2,0,0,9,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,8,8,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,15,0,0,0,0,0,43,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,3,0,0,0,1,0,0,4,1,1,0,103,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1
0,1,1,0,0,0,0,0,0,3,12,0,0,0,0,0,0,0,0,0,3,0,97,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6,0,0,0,21,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,5,49,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,21,0,0,0,0,0,86,0,0,0,0,1,0,0,0,0,0,0,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,8,0,0,0,0,2,0,0,0,0,1,0,2,0,1,0,27,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,4,0,2,0,1,0,1,0,0,0,0,0
0,5,2,0,0,0,0,0,0,0,6,0,0,1,0,0,0,0,0,0,1,0,64,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,17,0,0,0,28,1,0,0,3,0,0,0,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,3,2,60,5,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,25,0,0,0,0,0,62,0,0,0,0,2,0,0,0,0,0,0,5,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,4,0,0,0,0,4,0,0,0,1,0,0,2,0,0,0,44,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,0,0,1,0,0,0,3,0,0,1,0,0,0,0,0,0,2,1,71,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,4,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,15,1,0,0,3,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,1,0,0,0,0,0,0,3,44,10,0,0,0,0,0,0,0,0,0,1,1,0,0,0,4,0,0,0,0,0,0,0,0,18,0,0,0,0,0,33,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,2,1,0,0,0,5,0,0,0,0,0,0,1,1,0,0,30,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0
0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,11,0,0,0,4,0,0,0,15,0,1,0,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,1,10,8,0,1,1,0,0,0,0,0,0,0,4,0,0,0,2,0,0,0,0,1,0,0,0,3,0,0,0,0,0,8,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,7,0,0,1,0,0,0,0,6,0,0,0,0,0,2,10,0,0,0,51,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,3,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,26,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,10,0,0,57,2,0,0,1,1,0,0,11,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,5,1,0,0,0,0,0,0,0,0,0,0,0,6,17,0,0,0,0,0,0,0,0,0,1,2,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,22,0,0,0,1,5,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,6,0,0,2,2,0,0,0,7,0,0,2,0,0,0,10,0,0,0,16,1,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0
0,4,0,0,0,0,3,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,25,0,0,0,0,12,1,1,14,0,0,0,4,3,0,0,62,0,0,0,5,0,2,0,0,0,2,0,0,0,0,0,0,0,0,6,4,0,0,0,0,0,0,0,0,0,0,0,2,5,0,0,4,0,0,0,0,0,0,0,4,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,9,0,0,0,0,0,0,12,0,0,0,26,1,0,0,0,0,2,0,0,0,0,5,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0
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0,2,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,3,1,0,0,0,31,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,7,2,0,49,0,0,0,5,0,0,0,15,1,0,0,12,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,0,0,0,1,17,16,0,0,1,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,8,0,0,0,0,0,31,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,11,0,0,1,0,0,0,4,0,1,0,50,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0
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0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,1,0,0,20,0,0,0,2,1,0,0,15,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,1,0,9,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,1,0,0,0,0,4,0,0,0,0,0,0,7,0,0,2,13,0,1,0,3,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
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0,1,4,0,0,0,3,0,0,2,9,0,0,1,0,0,0,0,0,0,1,1,25,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,2,0,0,3,1,0,0,0,0,0,0,1,1,0,0,0,4,0,0,29,0,0,0,15,1,0,0,3,2,0,0,9,0,0,3,0,0,0,1,0,0,0,2,0,0,1,1,15,0,0,0,0,0,0,0,0,0,6,0,77,10,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,40,0,0,0,0,0,18,2,0,0,1,4,0,0,0,0,0,0,15,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,2,1,0,0,0,7,0,0,1,0,0,0,1,0,0,0,24,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,1,0,0,0
0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,25,0,1,0,3,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,27,2,0,0,9,2,0,0,5,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,4,0,0,1,0,0,0,0,0,1,0,0,18,11,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,5,0,0,0,0,0,38,0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,7,0,0,0,0,0,0,9,0,2,0,42,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,3,0,0,0,1,0,0,0,9,0,0,0,0,0,0,0,0,0,0,2,24,2,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,7,0,0,0,8,0,0,0,9,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,9,0,1,0,0,0,0,0,0,0,2,0,30,9,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,13,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,1,0,3,1,0,0,0,3,0,0,0,6,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,2,0,10,0,0,0,0,0,0,0
0,2,1,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,46,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,7,1,0,58,0,0,0,1,3,0,0,20,0,0,0,4,0,0,0,0,0,2,0,0,0,0,1,0,0,0,2,4,0,0,0,3,0,0,0,0,0,0,0,4,7,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,24,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,5,0,3,0,2,0,0,0,10,0,0,1,0,0,1,6,0,0,0,79,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
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0,4,1,0,1,0,0,0,0,0,5,1,0,0,0,0,0,1,0,0,1,0,119,0,0,0,0,1,0,0,1,1,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,5,0,0,81,1,0,1,3,0,0,0,6,1,0,0,11,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,7,0,0,3,0,0,0,0,0,0,0,3,32,25,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,17,0,0,0,0,0,43,0,0,0,2,2,0,0,0,0,0,0,4,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,6,1,0,2,1,0,0,0,3,0,0,0,0,0,0,16,0,0,0,66,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,2,0,2,0,1,0,0,0,0,0,0,1
0,1,1,0,0,0,3,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,23,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,5,0,0,37,0,0,0,2,0,0,0,10,0,0,0,7,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,12,11,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,7,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,1,1,0,0,0,14,0,0,0,0,0,0,5,0,1,0,33,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
0,4,5,0,2,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,33,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,4,0,0,48,0,0,0,9,0,0,0,9,0,0,0,15,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,2,58,9,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,9,1,0,0,0,0,32,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,1,0,1,0,0,7,0,0,0,0,0,0,4,0,0,0,43,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
0,6,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,9,0,0,49,1,0,0,5,2,0,0,28,0,0,0,6,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,14,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,11,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,2,0,0,0,0,6,0,0,1,45,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,78,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,3,5,0,0,0,0,3,0,0,0,0,0,0,0,5,0,0,0,0,4,0,0,52,1,0,0,3,1,0,1,12,0,0,0,5,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,15,15,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,2,0,13,1,0,0,0,0,27,0,0,0,0,3,1,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,14,0,0,0,1,0,1,7,0,3,1,42,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0
1,0,0,0,0,0,1,0,0,0,7,0,0,0,0,0,0,0,0,0,1,1,10,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,12,0,0,0,0,0,30,0,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,1,1,11,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,13,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,19,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,25,0,0,0,0,0,13,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0
0,2,1,0,0,0,2,0,0,1,0,2,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,17,1,0,0,0,4,0,0,21,0,0,0,3,2,0,0,19,0,0,0,9,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,8,0,0,1,1,0,0,0,0,0,0,1,23,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,0,5,0,1,2,0,0,0,4,0,0,1,17,3,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0
0,5,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,6,0,0,0,0,0,0,0,0,0,0,12,0,0,1,0,3,1,0,11,0,1,1,2,0,0,0,34,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,6,2,0,0,0,0,0,0,0,0,1,1,31,5,0,0,12,0,1,0,0,1,0,0,1,0,0,0,2,0,2,0,3,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,3,0,1,2,3,0,0,0,4,0,0,4,0,0,0,6,0,0,0,24,5,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,1
0,0,7,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,1,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,3,1,0,0,0,0,0,0,3,0,0,0,0,1,0,0,41,0,0,0,3,0,2,0,16,0,0,0,2,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,1,3,2,80,7,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,12,0,0,0,0,2,0,0,0,0,0,0,7,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,3,0,0,0,4,0,0,1,0,0,1,1,0,0,1,34,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,2,0,0,0,0,0,7,0,0,1,1,0,0,0
0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,9,0,1,0,0,0,1,0,16,0,0,2,0,1,0,0,10,0,0,0,5,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,4,0,0,0,0,0,0,0,4,0,0,1,0,0,0,3,2,0,0,11,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,8,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,45,1,0,0,7,0,0,1,5,0,0,0,2,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,5,0,1,0,0,0,0,0,0,0,0,0,6,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,2,0,0,0,3,0,0,0,0,1,0,0,0,0,0,5,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,2,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,22,1,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0
0,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,5,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,33,0,0,1,0,0,0,0,21,0,0,0,6,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,2,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,8,0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,3,0,5,1,45,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0
0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,5,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,0,0,0,0,0,0,0,0,9,1,0,1,0,0,0,1,0,0,0,0,48,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,2,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,3,1,0,62,0,0,0,29,2,0,0,7,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,7,0,0,0,1,0,0,0,0,0,0,1,42,2,0,0,0,0,0,0,0,1,1,0,1,0,0,0,3,0,0,0,0,0,0,0,0,26,1,0,0,0,0,82,0,0,0,0,2,1,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,2,1,0,0,0,14,0,0,0,0,0,1,0,0,0,1,85,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,3,0,0,0,0,0,0,1
1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,1,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,0,6,0,0,0,0,1,0,0,23,0,0,0,0,1,0,0,14,0,0,0,11,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,13,0,0,0,0,0,0,0,0,0,1,0,13,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,3,0,0,0,0,0,4,0,0,0,0,3,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,3,0,0,0,9,0,0,0,1,0,0,5,0,1,1,21,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0
0,3,0,0,0,1,1,0,0,2,1,1,0,0,0,0,0,2,0,1,0,0,6,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,0,7,0,0,0,0,0,0,0,0,0,0,19,0,0,0,0,1,0,0,11,0,0,0,1,1,0,0,22,4,3,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,15,2,0,0,0,1,0,0,0,0,0,0,18,6,0,0,11,0,0,0,3,0,0,0,5,0,0,0,5,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,12,0,0,3,1,0,0,0,5,0,1,6,0,0,0,6,5,0,1,21,3,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0
0,2,5,0,0,0,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,7,0,0,2,0,0,0,1,0,0,0,12,0,0,0,0,6,0,0,9,0,0,1,2,1,0,0,24,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,28,0,2,0,0,0,0,0,0,0,2,1,47,3,0,0,4,0,0,0,0,0,1,0,5,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,2,0,0,0,4,0,0,0,1,0,0,6,0,0,0,13,7,0,0,3,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0
0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,2,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,1,0,2,0,0,0,0,0,0,0,4,0,0,0,0,2,0,2,18,0,0,0,1,0,0,0,20,0,0,0,6,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,16,0,0,0,0,0,0,0,0,0,1,1,55,3,0,0,0,0,1,0,0,0,2,0,1,0,0,0,3,0,0,0,0,1,0,0,0,6,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,7,0,0,2,1,0,0,0,0,0,0,22,7,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,1,5,1,16,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,1,0,2,0,0,1,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,28,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,12,0,0,0,0,0,15,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,30,0,0,0,0,0,1,0,0,0,0,3,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,2,0,2,0,1,0,0,1,0,0,0,0
0,0,3,0,0,0,1,1,0,0,7,1,0,0,0,0,0,0,0,0,1,0,8,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,91,0,0,0,5,0,0,0,15,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,13,0,0,0,1,0,0,0,0,0,3,3,31,8,1,0,1,0,0,0,0,0,0,0,1,1,0,2,3,0,0,0,0,0,0,0,0,29,1,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,42,7,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0
0,3,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,7,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,1,0,2,0,0,0,0,0,0,0,2,0,0,0,0,7,0,0,20,0,0,0,1,1,0,0,12,0,0,0,4,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,7,3,0,0,2,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,7,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,4,0,0,2,0,0,0,4,0,0,1,32,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,2,0,0,0,0
0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,1,0,0,0,0,13,0,0,0,0,4,0,0,6,0,0,1,0,0,0,0,15,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,1,0,0,0,0,0,0,0,0,6,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,1,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,1,0,0,0,5,0,0,0,0,0,0,1,0,0,0,10,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,8,0,0,1,2,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,4,0,0,1,0,0,1,1,0,0,0,10,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,7,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,35,0,0,0,9,0,0,0,2,0,0,0,11,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,6,0,0,0,0,0,0,0,0,0,1,0,50,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,12,0,0,0,0,0,6,0,0,0,0,4,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,1,0,0,0,0,0,0,3,0,1,1,22,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1
0,1,2,0,0,0,1,0,0,3,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,3,0,0,10,0,0,1,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,8,0,0,0,0,0,0,0,0,0,0,0,13,1,0,0,9,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,1,0,0,0,0,1,1,0,0,0,0,3,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,4,0,0,1,1,0,0,0,4,0,0,1,1,0,0,4,0,0,0,20,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,2,1,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,13,0,2,0,1,0,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,8,0,0,1,0,10,1,0,39,0,0,0,0,0,0,0,19,0,0,0,13,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,32,0,1,0,0,0,0,0,0,0,0,0,91,10,0,0,1,0,0,0,0,0,0,0,1,0,0,0,7,0,0,0,0,1,0,0,0,8,1,0,0,0,0,10,0,0,0,1,12,0,0,0,0,0,0,7,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,8,0,3,1,0,0,3,4,0,0,0,38,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0
0,3,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,0,1,9,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,31,0,0,0,4,2,0,0,2,1,0,1,3,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,5,0,0,0,0,0,0,0,0,0,1,0,50,3,1,0,1,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,1,0,0,0,21,1,0,0,0,0,11,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,5,1,0,0,0,2,0,0,0,0,0,0,5,0,1,0,24,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,1,0,0,0,0,0
1,0,5,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,1,0,0,0,2,0,0,29,0,0,0,7,1,0,0,20,0,0,2,8,0,0,2,0,0,1,0,0,0,0,0,0,0,1,0,28,0,1,0,0,0,0,0,0,0,0,0,75,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,6,0,0,0,1,0,0,0,0,4,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,2,0,0,0,6,0,0,0,0,0,1,1,0,1,0,25,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0
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0,2,4,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,5,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,7,0,0,0,0,0,2,0,0,0,1,0,18,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,6,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,1,0,0
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0,2,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,6,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,2,0,0,4,3,0,1,1,1,0,1,14,0,0,0,8,0,3,1,0,0,0,0,0,0,0,2,0,0,0,1,10,0,0,0,0,0,1,0,0,0,0,2,11,4,0,0,15,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,2,1,0,0,0,1,0,0,1,0,0,0,11,0,0,0,12,0,1,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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2,2,3,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,10,1,0,0,7,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,8,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,10,0,0,0,10,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,7,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
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0,3,8,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,2,4,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,15,0,0,3,0,0,0,1,1,0,0,5,0,0,0,0,1,0,1,1,1,0,0,3,0,0,1,27,0,0,0,11,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,6,1,0,0,0,0,0,0,0,0,0,3,86,7,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,1,4,1,0,0,0,0,0,6,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,2,0,0,0,0,9,0,2,0,1,0,1,11,0,1,0,18,3,0,0,5,0,1,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
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1,0,4,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,13,0,0,0,1,1,0,2,4,0,0,0,5,1,0,0,11,0,0,0,11,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,31,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,8,8,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0
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1,1,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,9,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,16,0,0,0,8,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,5,0,0,0,0,0,1,0,0,0,2,0,48,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,9,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0
0,3,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,7,0,0,0,0,3,0,1,3,2,0,0,2,4,0,0,39,0,0,0,11,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,21,0,2,0,0,0,0,0,0,0,1,1,13,7,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,2,0,0,0,6,0,4,0,1,0,0,4,0,0,0,17,7,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0
0,5,1,0,1,0,1,0,0,7,0,4,0,0,1,1,0,2,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,10,0,0,0,0,0,0,1,0,4,2,0,0,0,0,0,0,0,3,4,0,21,0,0,1,0,0,0,0,0,0,1,71,0,0,0,0,9,0,0,0,7,0,2,1,3,0,0,140,1,0,0,9,0,5,0,0,0,1,1,0,0,0,0,0,0,0,8,16,0,0,3,0,2,0,0,0,0,0,1,3,16,0,0,31,0,0,4,0,1,0,0,4,0,0,0,0,0,0,0,8,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,11,3,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,3,3,1,0,0,6,0,1,6,0,0,0,36,0,0,0,45,1,0,0,6,0,0,0,0,0,1,3,0,2,0,0,0,1,0,12,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,2,14,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,4,0,0,0,6,2,0,0,8,0,0,0,3,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,9,0,0,0,0,0,0,0,0,0,2,0,56,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,7,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,5,0,0,0,0,0,0,2,0,0,0,18,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,3,0,0,0,1,1,0,0
0,2,6,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,3,2,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,1,0,0,0,0,0,0,1,17,1,0,0,0,3,0,1,1,0,0,0,2,1,0,0,31,1,0,0,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,23,0,0,0,0,0,0,0,0,0,0,0,8,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,3,2,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,6,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,1,0,1,5,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,27,0,0,0,0,6,0,0,6,0,0,1,1,0,0,0,80,0,0,0,10,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,0,0,0,3,27,3,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,2,0,0,1,0,0,0,0,6,0,0,0,2,0,0,18,0,0,0,13,6,0,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,1,3,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,6,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,3,0,1,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,2,0,0,1,0,20,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,2,1,1,0,0,0
0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,8,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,10,1,0,0,0,0,0,0,0,0,0,0,11,3,0,0,8,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,4,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,7,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,3,1,0,0,0,5,0,0,4,1,0,0,1,0,0,0,33,0,2,0,9,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,3,22,5,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,8,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,2,0,0,0,4,0,0,1,0,0,3,1,0,0,0,16,4,1,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,2,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,1,0,0,0,7,0,0,7,0,0,1,1,2,0,0,28,0,0,0,4,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,9,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,2,0,0,0,0,0,0,5,0,0,0,11,1,0,0,7,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,8,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,7,0,0,0,0,2,0,0,4,0,0,0,0,1,0,0,24,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,4,9,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,8,0,0,0,5,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,6,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,1,0,0,0,0,0,0,1,8,0,0,0,0,2,0,1,6,0,0,0,2,5,0,0,34,0,0,0,11,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,19,0,0,2,1,0,0,0,0,1,0,2,31,8,0,0,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,0,1,0,0,0,0,2,2,0,0,0,0,0,0,0,0,1,5,1,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,3,0,0,0,0,0,4,0,0,1,1,0,0,0,8,0,0,1,0,0,0,11,0,0,0,20,12,1,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,8,1,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,2,0,0,0,0,0,2,11,2,0,1,19,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,0,1,0,0,0,0,0,0,3,2,0,0,3,1,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0
0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,5,0,1,2,0,0,0,0,1,0,0,28,1,0,0,5,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,16,0,2,0,0,0,0,0,0,0,0,0,5,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,3,0,0,0,1,0,0,0,3,5,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0
2,2,3,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,3,4,0,0,0,0,1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,3,0,0,1,0,0,0,0,0,0,0,6,0,0,0,0,3,0,0,6,0,0,0,0,1,0,0,46,1,0,0,10,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,21,0,0,0,0,0,0,0,0,0,0,0,14,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,0,0,3,0,0,0,0,0,1,4,0,0,0,14,5,0,0,5,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,3,0,0,2,0,2,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,10,0,0,0,0,1,0,1,4,2,0,0,0,0,0,0,13,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,6,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,1,0,0,1,1,0,0,3,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,4,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0
1,3,11,0,0,1,1,0,0,2,0,0,0,0,0,4,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,1,0,0,0,0,0,0,4,3,1,0,0,2,0,0,0,0,1,0,9,0,0,0,0,0,0,0,0,0,0,26,1,0,0,0,8,0,2,5,3,0,0,0,0,1,0,80,0,2,0,13,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,25,0,0,1,0,2,0,0,0,0,0,2,8,11,0,0,20,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,2,6,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,5,0,0,0,2,0,1,0,3,0,1,2,1,0,0,19,0,1,0,15,16,0,0,5,0,0,0,0,0,0,0,0,2,0,0,0,0,0,15,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,4,1,30,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,1,9,0,0,1,2,0,0,2,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,3,0,6,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,30,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16,0,0,0,0,0,0,0,0,0,0,0,10,2,0,1,5,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,7,3,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,7,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,2,0,0,0,0,0,0,0,5,0,0,0,0,7,0,2,2,0,0,0,1,1,0,0,33,0,0,0,13,0,1,2,0,0,1,0,0,0,0,1,0,0,0,1,23,0,0,0,1,0,0,0,0,0,0,0,22,4,0,0,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,0,0,7,0,0,0,0,0,0,6,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,19,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,5,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0
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0,0,6,0,0,0,1,0,0,1,0,1,0,0,0,1,0,2,0,0,0,3,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,9,0,0,0,13,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,1,0,0,0,0,0,0,0,29,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,1,0,9,6,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,28,0,0,0,6,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,9,0,0,2,0,0,0,0,0,0,0,0,14,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,4,0,0,0,0,0,0,7,0,0,0,12,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,10,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0
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0,1,3,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,1,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,8,0,0,0,6,0,0,0,10,0,0,0,4,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,9,0,0,0,1,0,0,0,0,0,4,1,47,7,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,4,0,0,1,0,0,0,0,0,2,0,10,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,0
0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,3,0,1,3,0,0,0,0,0,0,0,19,0,0,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,13,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,26,0,0,0,8,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,4,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,8,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,3,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,4,0,1,0,0,1,0,0,15,0,0,0,17,0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,9,0,0,0,0,0,0,0,0,0,0,0,49,6,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,0,0,0,0,4,0,3,0,15,8,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
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0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,36,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,3,0,0,0
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0,1,5,0,1,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,15,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,18,3,86,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,2,0,3,0,0,0,0,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,10,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0
0,1,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,2,0,0,3,0,0,1,0,0,0,0,2,0,0,0,0,6,0,1,0,0,0,0,1,0,0,4,0,42,1,0,1,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,15,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3
0,2,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,7,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,48,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1
1,2,11,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,1,4,0,0,1,1,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,4,1,0,0,1,1,0,0,57,2,0,0,9,0,3,1,0,0,0,0,0,0,0,0,0,0,0,1,29,1,0,0,0,0,0,0,0,0,0,0,16,5,0,0,8,0,0,2,0,0,0,0,3,1,0,0,2,0,0,0,2,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,3,0,0,2,1,0,0,2,0,1,0,6,9,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,5,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,6,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,10,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,2,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,0,8,0,0,0,10,0,1,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,7,1,42,6,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,12,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,27,3,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
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0,2,8,0,1,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,1,7,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,5,0,0,0,1,0,1,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,1,0,0,6,2,88,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,4,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,24,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,1,1,5,0,0,0,0,0,0,1,0,1,0,8,1,0,0,5,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0
0,2,4,0,0,0,0,0,0,0,7,0,0,0,0,0,0,1,0,0,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,2,0,0,0,1,0,5,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,10,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,6,113,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,12,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,7,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,0,0,0,1,0,0,0
0,1,8,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,10,0,0,0,3,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,8,0,0,0,1,0,0,0,0,0,0,3,49,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,3,1,0,0,0,0,4,0,0,0,1,4,0,0,0,0,0,0,12,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,0,0,0,3,0,0,1,0,0,0,3,0,0,0,10,4,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,1
0,2,10,0,0,1,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,1,6,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,0,4,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,10,0,1,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,0,1,0,0,8,4,161,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,3,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,17,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,1,3,0,0,0,7,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,1,0,3,0,1,0,2,0,0,0
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2,1,5,0,0,1,2,1,0,3,1,0,0,0,0,1,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,6,0,0,0,1,0,1,0,0,0,0,7,0,0,2,0,0,0,0,0,3,0,18,1,0,0,0,3,0,1,7,1,0,0,4,3,0,0,79,1,0,0,13,0,1,0,0,0,1,0,0,0,0,1,2,0,0,1,30,3,0,1,0,0,0,0,0,0,1,1,24,9,0,0,6,0,0,0,0,0,0,0,4,3,0,0,0,0,0,0,2,0,0,0,0,1,4,0,0,1,0,1,0,0,0,1,2,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,3,0,0,1,1,0,0,0,5,0,0,2,0,0,0,8,1,0,0,24,16,0,0,5,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,10,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,5,0,0,0,11,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,43,5,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,4,0,0,0,1,0,1,1,0,0,0,0,0,0,0,13,6,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0
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1,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,21,2,16,6,8,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0,4,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,8,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,1,0,0,0,1,0,0,0,1,0,4,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1
1,0,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,1,0,0,2,0,0,0,1,1,0,0,21,1,2,0,2,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,1,49,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,11,14,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
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0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,2,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,6,2,59,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,13,0,0,0,0,0,0,0,0,0,0,0,19,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,6,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,4,0,0,0,1,0,0,0,2,0,0,0,0,0,0,4,1,0,0,1,3,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,3,0,0,0,0,0,0,0,21,1,0,0,13,0,0,3,0,0,0,0,2,0,0,0,2,0,0,0,16,0,1,0,0,0,0,0,0,0,0,1,20,10,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,4,0,0,0,2,0,0,0,10,7,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,0,4,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,0,0,2,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,9,0,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,3,0,0,0,1,1,0,0,0,0,6,2,58,4,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,14,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,2,0,2,0,0,0,0,1,0,0,1,8,2,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0
0,4,16,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,9,1,0,0,0,2,0,1,8,1,0,0,4,0,0,0,17,0,0,0,4,0,0,1,0,0,1,0,0,0,0,2,0,0,2,0,4,0,0,0,0,1,0,0,0,0,3,0,46,8,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,3,0,0,0,0,9,4,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,2,0,0,1,2,0,0,0,3,0,0,1,0,0,0,0,0,0,1,35,3,0,1,6,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,0,0,0,1
1,0,6,0,0,0,0,0,0,0,8,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,4,0,0,0,10,0,1,0,4,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,7,0,0,0,0,0,0,0,0,0,7,0,67,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,7,0,0,1,1,1,0,0,0,0,0,0,22,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,0,1,2,0,0,0,15,3,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,40,1,10,1,16,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,4,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,11,2,0,0,0,3,0,0,8,2,0,1,0,2,0,0,63,0,0,0,4,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,7,7,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,3,0,0,0,0,4,0,0,1,1,0,0,8,0,1,1,11,4,0,0,6,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,1,1,0,0,0,2,0,0,3,0,1,0,0,0,0,0,0,2,1,0,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,5,0,0,0,0,0,0,0,0,1,3,1,0,0,1,0,0,0,1,1,0,15,0,0,2,0,0,0,0,0,0,0,39,0,0,0,0,2,0,1,8,1,0,0,2,0,0,0,76,1,0,0,0,0,4,2,0,0,0,0,0,0,0,0,3,0,1,0,11,0,0,1,0,0,0,1,0,0,0,0,8,7,0,0,23,1,2,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,6,0,0,0,0,0,0,2,0,0,0,1,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,8,0,0,0,3,0,0,0,7,0,0,3,0,0,0,19,0,0,0,36,2,0,0,2,0,0,0,0,0,2,3,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0
0,4,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,1,0,2,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,1,0,1,6,0,0,0,8,1,0,0,13,0,0,0,4,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,1,31,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,7,0,0,0,0,0,1,2,0,0,1,29,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,45,1,14,2,4,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,21,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,5,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,1,3,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,8,3,0,8,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,8,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,6,0,1,0,0,3,0,0,0,0,1,0,0,0,0,8,3,39,5,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,7,0,0,0,0,0,6,1,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,10,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,19,0,0,0,1,0,0,0
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,32,1,3,1,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,1,3,0,0,0,0,0,0,0,5,0,0,0,0,0,0,1,0,0,1,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,0,0,0,12,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,1,0,0,0,0,0,0,7,6,97,1,0,1,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,4,0,2,0,9,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,3,0,0,1,1,0,0,0
0,3,2,0,0,0,0,0,0,0,4,0,0,0,0,0,0,3,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,7,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,0,72,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,5,0,0,0,1,0,0,0,0,0,0,0,20,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,6,1,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,5,0,0,0,3,0,0,0
0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,3,0,1,0,0,0,0,0,1,0,0,22,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,7,2,0,0,4,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,2,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0
1,2,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,7,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,4,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,7,13,0,0,0,1,0,0,0,13,0,0,0,8,0,1,2,0,0,0,0,0,0,0,4,0,0,0,0,14,0,0,0,1,0,0,0,0,0,2,0,47,10,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,8,0,0,0,0,0,6,0,0,0,0,4,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,6,0,1,0,0,0,0,4,0,1,0,23,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
0,9,2,0,0,0,3,0,0,0,1,0,0,0,0,0,0,2,0,0,0,3,8,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,9,3,0,0,0,3,0,0,5,0,0,1,6,0,0,3,19,0,0,0,6,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,13,0,0,0,1,1,0,0,0,0,2,0,50,17,2,0,2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,3,0,0,0,0,0,2,0,0,0,0,4,0,0,0,0,0,0,9,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,5,0,0,0,1,0,0,0,8,0,0,0,0,0,0,1,0,0,0,19,12,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0
0,1,3,0,3,0,1,0,0,0,3,0,0,0,0,0,0,1,0,0,0,1,7,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,6,1,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,0,1,0,0,1,0,0,10,1,87,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,10,0,0,0,0,0,8,0,0,0,1,0,0,0,0,0,0,0,16,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,1,0,4,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,15,0,0,0,3,0,0,0,0,0,0,0,0,2,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0
1,3,9,0,0,0,5,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,3,0,2,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,3,0,1,6,0,0,0,0,0,0,0,44,0,0,0,18,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,26,0,0,0,0,0,0,0,0,0,0,0,43,5,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,2,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,4,0,0,0,1,0,1,3,0,0,0,12,11,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0
0,1,7,0,0,0,0,0,0,4,0,1,0,1,0,0,1,2,2,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,2,3,0,6,0,1,1,1,0,0,0,0,0,0,11,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,42,0,0,0,14,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,28,2,0,0,0,3,0,0,0,0,0,0,30,4,0,0,6,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,9,0,0,0,0,0,0,0,4,0,1,1,1,0,1,6,0,0,0,10,6,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,26,1,13,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,6,0,0,0,1,0,0,0,22,0,0,0,5,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,20,0,0,0,0,0,0,0,0,0,1,0,86,6,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,6,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,2
0,1,8,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,6,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,8,5,100,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,1,0,0,3,0,0,0,1,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,8,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,1,0,0,0
0,4,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,1,3,0,8,0,0,0,0,1,0,0,0,0,0,12,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,30,0,0,0,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,3,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,2,0,0,1,5,0,0,0,6,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,3,9,0,1,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,1,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,3,0,0,0,2,0,0,0,0,0,3,5,47,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,11,0,0,0,0,0,14,0,0,0,0,4,1,0,0,0,0,0,11,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,27,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1
0,3,19,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,3,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,2,0,0,0,2,1,0,0,21,1,8,0,8,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,22,0,0,0,3,0,0,0,0,0,1,1,164,8,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,3,0,0,0,1,1,1,0,0,21,13,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0
0,0,7,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,5,1,0,0,2,1,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,59,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,2,0,0,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,3,0,0,2,0,0,0,2,0,0,0,15,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,7,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,5,1,0,0,2,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,6,0,46,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,16,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,15,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0
0,0,4,0,0,1,0,0,0,0,8,0,0,0,0,1,0,0,0,0,4,4,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,13,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,5,0,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,10,2,61,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,7,0,0,0,1,0,0,0,0,0,0,0,12,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,0,0,0,0,2,0,0,16,0,1,0,0,0,0,0
0,3,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,11,0,0,0,0,1,0,0,4,0,0,0,3,0,0,0,30,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,15,1,0,0,0,0,0,0,0,0,0,0,20,5,0,0,4,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,4,0,0,0,0,0,0,4,0,0,0,7,5,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,4,4,0,0,0,0,1,0,5,4,0,0,0,0,0,0,0,3,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,7,0,0,0,0,0,0,0,0,0,1,1,20,8,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,6,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,8,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,6,6,0,1,0,1,1,0,5,0,1,0,0,0,1,0,1,0,0,0,0,1,0,3,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,12,0,0,0,0,0,0,0,0,0,0,23,1,0,0,0,6,0,3,2,0,0,0,1,1,0,1,40,0,0,0,8,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,26,0,0,2,0,2,0,0,0,0,0,0,30,8,0,0,8,0,0,2,0,0,0,0,1,0,1,0,0,0,0,0,2,2,0,0,0,0,1,0,0,0,0,2,0,0,0,0,2,2,0,1,0,0,0,5,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,3,0,0,0,2,1,0,0,10,0,1,0,0,0,2,12,1,0,0,21,14,0,0,6,0,1,0,0,0,0,2,0,2,0,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0
0,0,4,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,7,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,3,2,86,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,19,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,0,0,0,0,3,0,0,0,13,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,1
0,0,14,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,0,0,1,1,25,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,1,0,0,6,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,6,5,91,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,6,0,0,0,0,0,18,0,0,0,3,2,0,0,0,0,0,0,35,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,6,0,0,0,1,0,1,0,0,0,0,1,0,1,0,21,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,3,1,0,0,2,0,0,0
0,0,3,0,0,0,1,0,0,0,2,0,0,0,0,0,0,5,0,1,0,0,10,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,16,0,0,0,8,0,0,0,16,0,0,0,3,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,13,0,0,0,0,0,0,0,0,0,1,1,27,9,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,5,0,0,0,0,0,4,0,0,0,0,10,0,0,0,0,0,0,13,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,4,0,0,0,0,0,0,4,0,2,0,30,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0
0,2,1,0,0,0,0,0,0,0,5,0,0,0,0,0,0,2,0,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,7,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,10,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,13,14,9,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,3,0,0,0,0,0,11,0,0,0,0,2,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0
0,1,5,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,1,1,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,11,2,97,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,5,0,0,0,0,1,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,11,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,6,0,0,0,2,0,0,0
1,1,3,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,6,0,1,0,1,0,0,0,4,0,0,2,0,0,0,0,0,0,0,2,0,1,0,0,3,0,0,0,2,0,1,0,0,0,9,3,116,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,18,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,7,1,0,0,4,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,4,0,0,0
0,1,6,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,6,0,1,3,0,0,0,0,1,0,0,8,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,1,1,35,2,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,5,0,0,0,0,0,0,3,0,0,0,24,2,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0
0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,20,1,1,5,6,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,5,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,2,0,5,0,1,5,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,1,0,0,0,1,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,19,0,0,0,0,1,0,1,15,1,0,0,0,1,0,0,21,0,0,0,5,0,0,2,0,0,1,0,0,0,1,0,0,0,1,0,4,0,0,0,0,1,0,0,0,1,0,3,40,11,1,0,13,0,0,1,0,0,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,4,0,0,0,0,3,0,0,0,3,0,0,2,0,0,0,0,0,0,1,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,3,0,0,1,13,7,0,0,3,0,0,0,0,0,0,0,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
3,0,5,0,2,0,1,0,0,0,10,0,0,0,0,0,0,1,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,11,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,5,2,77,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,19,0,0,0,1,0,0,0,0,0,0,0,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,28,1,3,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1
0,4,10,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,4,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,3,0,0,0,1,1,0,0,2,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,1,0,0,8,1,131,3,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,13,0,0,1,0,0,6,0,0,0,0,2,0,0,0,0,0,0,40,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,0,5,0,0,0,19,4,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,2,0,2,3,0,0,0
0,2,6,0,0,0,1,0,0,0,12,0,0,0,0,0,0,2,0,0,1,0,13,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,8,0,0,1,5,0,1,0,1,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,7,0,0,0,0,1,0,2,0,0,12,2,134,2,1,0,1,0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,2,0,0,0,0,0,14,0,0,0,2,1,0,0,0,0,0,0,31,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,28,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,0,0,0,0,0,0,6,0,0,0,3,0,0,0
0,0,3,0,0,0,0,0,0,0,6,0,0,1,0,0,0,2,0,0,4,2,11,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,0,9,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,1,2,0,0,0,0,4,1,26,5,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,14,0,0,0,1,2,0,0,0,0,0,0,20,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,1,0,0,0,0
0,2,6,0,0,0,0,0,0,0,7,0,0,0,0,1,0,0,0,1,0,1,15,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,3,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,11,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,7,1,103,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,1,0,0,8,0,0,0,0,1,0,0,0,0,0,0,19,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,14,2,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,0,0,0,0,0
0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29,1,5,2,7,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,6,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,14,3,3,2,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,6,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,2,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1
0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,3,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,6,0,0,0,0,2,0,0,3,0,0,0,0,2,0,1,14,0,0,0,8,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,39,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,2,0,0,0,1,2,0,0,0,12,3,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,7,0,0,0,0,0,0,0,9,0,0,0,0,0,0,4,0,0,0,0,8,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,4,0,0,0,4,0,0,0,7,1,0,0,4,0,0,0,0,0,0,0,1,0,0,3,0,0,0,1,3,0,0,0,0,0,0,0,0,0,11,2,65,4,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,8,0,0,0,0,0,9,0,0,0,1,1,0,0,0,0,0,0,16,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,4,0,1,0,19,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,4,1,0,0,2,0,0,0
0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,2,57,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,7,0,0,1,0,0,15,0,0,0,0,2,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,7,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,2,0,0,0
0,0,11,0,0,0,0,0,0,0,7,1,0,0,0,0,0,0,0,1,2,0,13,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,3,0,0,0,4,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,8,0,0,0,3,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,12,4,103,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,5,0,0,3,0,0,20,0,0,0,0,3,0,0,0,0,0,0,32,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,24,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,2,0,0,0,4,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,6,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,0,7,0,1,1,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,15,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,6,0,0,0,0,0,0,0,0,0,27,1,99,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,7,0,0,2,0,0,17,0,0,0,1,3,1,0,1,0,0,0,29,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,3,0,0,0,0,0,0,0,0,1,0,0,2,0,2,0,31,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0
0,0,2,0,0,0,1,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,8,0,1,0,2,0,0,0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,4,0,0,1,0,0,0,0,0,0,0,7,0,0,0,2,0,2,1,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,6,3,0,0,12,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,7,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
0,2,10,0,1,0,0,1,0,0,3,0,1,0,0,0,0,0,0,1,0,0,16,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,3,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,3,0,0,0,10,2,0,1,2,1,0,0,1,0,0,1,0,0,1,0,0,0,0,3,0,0,0,0,6,0,0,0,0,0,0,0,0,0,1,0,42,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,9,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,7,0,0,0,0,0,0,3,0,0,0,31,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,2,4,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,5,0,0,0,0,1,0,0,0,1,0,0,8,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,5,0,0,0,2,0,0,0,15,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,1,1,17,1,0,0,5,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,3,0,0,0,0,0,0,0,11,4,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1
0,1,3,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,0,0,0,1,7,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,3,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,12,0,0,0,2,0,0,0,9,0,0,1,10,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,2,0,41,10,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,7,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,3,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,7,0,0,0,1,0,0,0
1,6,11,0,1,1,1,0,0,0,0,0,0,0,0,0,0,3,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,8,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,5,0,1,1,0,0,0,5,2,0,0,4,0,0,0,3,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,11,0,0,0,0,0,0,0,0,0,3,0,96,6,1,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,10,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,2,0,1,0,0,5,0,1,0,0,0,0,1,0,0,0,15,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,5,0,0,0,0,0,0,1,4,0,0,0,0,0,0,1,0,0,0,2,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,10,0,0,0,1,0,0,0,5,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,4,55,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,5,1,0,0,0,0,10,1,0,0,0,1,0,0,0,0,0,0,11,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,0,0,0,5,0,0,0,0,0,0,1,1,0,0,27,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,1,0,0,1
0,2,6,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,1,1,8,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,7,0,1,0,2,0,2,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,5,94,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,9,0,0,0,0,0,6,0,0,0,0,1,0,0,0,0,0,0,23,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,14,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0
0,2,3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,4,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,3,5,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,3
0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,0,0,0,5,0,2,0,0,3,0,0,0,2,0,0,0,0,2,0,1,0,3,0,0,1,0,0,0,3,1,0,0,1,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,3,2,109,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,0,0,6,0,0,0,1,1,0,0,0,0,0,0,23,0,0,0,3,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,0,0,2,0,0,0,31,2,0,0,5,0,0,0,0,0,0,0,0,0,0,3,0,0,4,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1
0,2,6,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,10,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,2,59,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,5,0,0,0,7,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0
0,2,7,0,0,0,0,0,0,0,7,0,0,0,0,0,0,2,0,0,0,0,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,3,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,4,0,0,0,7,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,5,0,125,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,6,0,0,1,0,0,3,0,0,0,0,2,0,0,0,0,0,0,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,4,0,0,0,0,0,0,2,0,0,0,17,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,0,0
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,2,0,0,0,0,1,0,0,0,10,0,0,0,0,0,1,1,0,0,1,0,10,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,6,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,0,0,13,2,100,1,1,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,15,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,14,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,2,0,2,0,0,0
0,5,6,0,0,0,2,0,0,0,1,0,0,0,0,1,0,5,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,3,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,19,1,0,0,4,0,0,0,14,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,3,1,57,7,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,5,0,0,0,0,5,0,0,0,0,0,0,19,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,0,1,0,0,0,0,25,2,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0
0,2,1,0,0,0,0,0,0,2,10,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,3,1,0,1,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,9,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,4,0,0,1,0,0,0,0,0,0,1,3,32,5,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,8,3,0,0,0,0,16,0,0,0,1,1,0,0,0,0,0,0,10,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,2,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,8,1,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,2,2,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,0,0,0,0,1
0,5,4,0,0,0,3,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,2,0,0,8,0,0,0,2,0,0,0,26,1,0,0,13,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,13,0,0,1,0,0,0,0,0,1,0,1,31,5,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,4,0,0,0,0,0,0,8,0,0,0,30,3,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0
0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,14,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,7,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,0,0,0,0,0,0,0,0,5,0,40,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,10,0,0,0,0,0,16,0,0,0,0,0,0,0,0,0,0,0,14,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,1,0,0,3,0,15,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0
0,1,5,0,0,0,1,0,0,0,3,0,0,0,0,0,0,2,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,6,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,3,55,4,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,18,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,1,0,3,0,1,0,0,0,0,2,0,0,0,23,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,3,1,0,0,0,1,0,0,13,0,0,0,1,0,0,0,2,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,1,0,37,10,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,12,0,0,0,2,1,0,0,0,0,0,0,13,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,23,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,3,5,1,0,0,0,1,0,0,1,1,0,0,1,0,0,4,2,0,0,1,3,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,1,0,0,1,0,0,0,1,3,0,0,25,0,0,0,4,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,9,0,0,1,1,0,0,0,0,0,0,1,35,5,1,0,8,0,0,0,0,0,0,0,6,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,0,3,0,0,0,0,3,3,1,0,0,0,0,14,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,2,2,0,0,0,5,0,0,0,1,0,0,8,0,0,0,38,9,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,4,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,6,0,0,0,0,0,0,0,0,0,1,12,0,0,0,0,2,0,2,1,0,0,1,0,0,0,0,42,0,0,0,5,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,20,0,1,0,0,2,0,0,0,0,0,0,23,2,0,0,6,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,1,0,3,4,0,0,0,7,0,1,0,6,7,1,0,6,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,9,0,2,0,5,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,0,2,1,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,33,1,1,1,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,1,4,0,0,0,2,0,0,0,4,0,0,0,0,0,0,0,0,0,0,1,5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,3,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,6,0,0,0,9,0,0,0,3,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,5,0,0,2,0,0,0,0,0,0,2,1,72,5,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,5,0,0,0,1,1,0,0,1,0,0,0,19,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,1,24,5,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,2,0,0,1
0,0,9,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,0,2,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,0,7,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,5,2,91,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,6,0,0,0,0,2,0,0,0,0,0,0,10,0,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0
1,0,9,0,0,0,3,0,0,0,1,0,0,0,0,0,0,3,0,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,4,0,0,1,0,0,0,0,0,0,0,7,2,0,0,0,4,0,2,2,0,0,0,1,0,0,1,15,0,0,0,13,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,10,0,0,0,0,0,0,0,0,0,0,1,48,15,0,1,0,0,0,3,0,0,1,0,2,0,0,0,2,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,16,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,7,1,0,1,0,0,0,2,0,0,0,21,6,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,6,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0
0,0,8,0,0,0,0,0,0,2,3,0,0,0,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,2,0,0,4,0,0,0,1,1,0,0,25,0,0,0,6,0,0,2,0,0,1,0,0,0,0,2,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,47,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,4,1,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,29,5,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0
0,1,10,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,14,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,2,0,0,0,5,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,1,0,0,6,0,0,0,0,0,0,0,0,0,7,3,40,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,11,1,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,5,0,0,0,46,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,0,0,0,0,0
0,2,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,4,0,0,0,2,0,0,0,12,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0,0,0,0,0,40,6,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,6,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,16,5,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,3,0,0,0
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0,0,3,0,0,0,0,0,0,0,10,1,0,0,0,0,0,0,0,0,0,0,28,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,2,0,0,0,0,0,6,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,0,0,0,10,0,0,0,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,0,0,0,0,0,0,0,2,3,29,7,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,16,1,0,0,0,0,14,0,0,0,0,2,0,0,0,0,0,0,30,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,17,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,2,0,1,0,0,0
0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,25,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,1,1,0,0,0,1,0,6,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,0,0,0,5,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,4,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,6,40,5,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,12,0,0,0,0,0,14,0,0,0,0,1,0,0,0,0,0,0,16,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,12,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,5,0,0,0,3,0,0,0
0,1,5,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,1,0,7,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,1,0,0,0,0,1,0,0,7,3,102,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,10,0,0,0,1,1,0,0,0,0,0,0,27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,0,0,22,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,2
1,4,6,0,0,0,0,0,0,0,14,0,0,0,0,0,0,2,0,0,1,0,18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,12,1,0,0,3,0,0,0,2,0,0,2,0,0,1,0,0,1,0,2,0,0,0,0,8,0,0,0,1,0,0,2,0,0,5,2,144,4,0,0,0,0,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,31,0,0,1,0,0,22,0,0,0,0,5,0,0,2,0,0,0,24,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,4,0,0,4,4,0,0,0,1,0,0,1,0,0,0,3,0,1,0,18,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,3,0,0,0,0,0,0,0
0,0,1,0,0,0,0,0,0,0,7,0,0,0,0,0,1,1,0,0,0,3,30,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,2,2,2,6,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,11,0,0,0,8,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,0,4,4,28,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,16,0,0,0,0,0,20,0,0,0,0,2,0,0,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,1,0,0,0,2,0,0,0,0,0,0,3,0,2,0,11,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,2,0,5,0,0,1,1,0,0,2
1,1,0,0,0,0,1,0,0,0,5,0,0,0,0,0,0,1,0,0,1,1,43,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,3,1,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,11,0,0,0,2,0,0,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,29,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,14,1,0,0,0,0,33,0,0,1,0,1,0,0,0,0,0,0,8,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,8,0,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0
0,2,28,0,0,0,4,0,1,4,3,2,0,0,0,0,0,1,0,0,0,6,6,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,5,0,0,2,0,0,0,0,0,0,0,4,1,0,2,0,2,0,1,6,0,0,0,8,1,1,0,23,1,2,0,10,0,1,4,0,0,2,0,0,0,0,0,0,0,0,0,18,1,1,0,0,0,0,0,0,0,5,1,137,12,1,1,2,0,0,0,0,1,0,0,0,1,0,1,3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,6,0,0,0,2,3,1,0,0,0,0,0,22,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,4,0,0,3,4,0,0,0,5,0,0,0,1,0,0,2,0,0,0,27,12,0,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,1,0,0,0
0,2,0,0,0,0,0,0,0,0,11,0,0,1,0,0,0,1,0,0,0,0,46,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,1,0,0,5,0,0,0,0,0,0,0,1,2,0,3,0,0,9,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,10,0,0,0,7,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,0,3,0,0,0,3,1,0,0,0,0,2,6,36,8,0,1,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,29,0,0,0,0,0,26,0,0,0,1,7,0,0,0,0,0,0,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,29,0,0,1,4,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0
0,1,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,104,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,3,1,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,8,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,3,51,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,17,0,0,0,0,0,56,0,0,0,0,1,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,3,0,2,0,0,0,1,0,0,1
0,0,7,0,1,0,0,0,0,0,7,0,0,0,0,0,0,2,0,0,2,1,20,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,2,3,0,0,0,0,4,0,0,0,1,0,1,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,9,0,0,0,12,1,0,0,4,0,0,0,5,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,10,0,130,1,0,5,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,31,0,0,1,0,0,23,0,0,0,0,1,0,0,0,0,0,0,23,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,3,0,0,0,0,3,0,0,1,0,0,0,4,0,3,0,20,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,0,4,0,0,0,0,2,0,2,0,0,0,0,11,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,1,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,5,0,1,0,0,0,0,2,8,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,2,8,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,8,1,0,0,0,0,4,0,0,0,0,0,1,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,2,8,0,0,0,6,0,0,0,0,0,0,0,0,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,1,2,0,0,3
0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,14,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,8,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,8,0,0,0,0,0,18,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,19,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1
0,1,0,0,0,1,1,0,0,1,4,0,0,0,0,0,0,4,0,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,4,0,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,9,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
1,2,10,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1,0,2,1,1,7,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,11,2,0,0,1,0,0,0,3,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,7,0,0,0,2,0,0,0,0,0,2,2,168,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,12,0,0,0,0,0,4,0,0,0,0,4,0,0,0,0,0,0,20,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,0,0,0,0,0,1,0,18,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,1,0,0,0
0,2,13,0,0,0,0,0,0,0,4,1,0,0,0,0,0,0,0,1,1,0,13,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,2,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,19,0,0,0,4,0,1,2,2,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,7,0,0,0,1,0,0,0,0,0,11,1,140,1,1,0,0,0,0,0,0,0,0,0,3,0,0,0,4,0,0,0,0,0,0,0,0,14,0,0,0,0,0,8,0,0,0,0,0,0,0,0,0,0,0,16,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,2,0,1,0,30,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,4,0,0,0,2,0,0,0
0,1,8,0,0,0,0,0,0,0,5,0,0,0,0,0,0,1,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,3,0,0,1,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,4,0,0,1,11,1,0,0,3,0,0,0,0,0,0,0,0,1,2,0,0,0,0,6,0,0,0,0,7,0,0,0,0,0,1,0,0,0,11,1,87,2,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,9,1,0,0,0,1,16,0,0,0,0,6,0,0,0,0,0,0,19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,5,0,0,1,0,0,0,2,0,0,0,7,8,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,4,0,0,0,1,0,0,2
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0,2,4,0,0,0,0,0,0,0,7,0,0,0,0,0,0,1,0,2,0,1,30,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,1,0,2,1,0,15,0,0,0,10,2,0,0,8,0,1,0,7,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,10,0,0,1,2,1,0,0,0,0,3,4,71,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,17,0,0,0,0,0,28,0,0,0,1,3,0,0,0,0,0,0,10,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,5,2,0,0,0,1,0,0,1,0,0,0,3,0,1,0,37,4,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,5,0,0,0,0,2,0,0
0,1,1,0,1,0,0,0,0,0,4,1,0,0,0,0,0,1,1,1,0,0,26,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,3,1,1,0,0,1,0,1,6,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,6,0,0,0,3,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,3,4,31,4,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,16,0,0,0,0,0,10,1,0,0,1,1,0,0,0,0,0,0,15,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,3,0,0,0,0,1,0,0,3,0,0,0,1,0,0,0,26,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0
1,2,3,0,3,0,0,1,0,0,5,0,0,0,0,0,0,0,0,0,1,0,73,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,3,0,0,1,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,3,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,3,2,45,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,15,0,0,0,0,0,28,0,0,0,0,1,0,0,0,0,0,0,5,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,5,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,8,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,24,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,4,0,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,6,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,2,0,0,0,0,1,0,0,0,0,2,5,21,4,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,0,7,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,4,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,20,3,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0
0,3,3,0,0,0,4,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,25,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,6,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,16,0,0,0,6,3,0,0,6,1,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,5,0,1,0,0,0,0,0,0,0,2,1,63,8,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,7,0,0,0,0,0,9,0,0,0,0,1,0,0,0,0,0,0,14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,11,0,0,1,0,0,0,5,0,0,0,24,6,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,0,4,0,0,0,0,0,0,0
0,4,2,0,1,1,0,0,0,0,0,1,0,0,0,0,0,3,0,1,0,2,15,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,5,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,8,0,0,0,21,1,0,0,0,3,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,4,0,0,0,2,0,0,0,0,0,3,0,36,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,10,0,0,0,0,0,22,0,0,0,0,2,2,0,0,0,0,0,8,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,3,0,0,1,0,4,0,0,0,0,0,0,2,0,0,0,21,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0
0,1,4,0,0,0,0,0,0,0,6,0,0,0,0,0,0,2,0,0,0,0,31,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,1,0,0,5,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,10,0,0,1,3,0,2,0,4,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,7,7,36,8,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,12,0,0,0,0,0,18,0,0,0,0,1,0,0,0,0,0,0,8,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,15,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,0,0,0,0,0,2,0,0,0,3,0,0,0,1,0,0,0
0,0,3,0,0,0,0,0,0,0,13,0,0,1,0,0,0,0,0,0,1,0,35,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,1,0,2,0,0,0,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,1,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,2,5,22,8,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,17,0,0,0,0,0,14,1,0,0,0,1,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,8,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0
0,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,1,0,26,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,4,0,0,0,1,0,1,0,1,0,0,1,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,1,0,0,1,0,0,0,0,0,0,3,6,24,5,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,4,0,0,0,0,0,20,0,0,0,0,2,0,0,0,0,0,0,15,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,18,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0
0,0,3,0,0,0,0,0,0,0,6,0,0,0,0,0,0,1,0,0,1,0,53,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,7,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,5,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,2,28,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,21,0,0,0,0,0,17,0,0,0,1,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,15,0,0,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,4,0,2,0,2,0,0,0,0,0,0,0
0,1,0,0,0,0,1,0,0,0,10,0,0,0,0,0,0,0,0,0,1,0,91,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,0,0,0,6,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,3,5,57,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,29,0,0,0,0,0,59,0,0,0,2,3,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,4,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,4,0,0,0,3,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,5,0,3,0,0,0,0,0,0,0
1,6,0,0,0,0,0,0,0,0,21,0,0,0,0,0,0,0,0,0,2,0,66,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,6,0,2,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,20,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,11,0,0,0,0,0,47,0,0,0,0,1,0,0,0,0,0,0,6,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,4,0,0,0,1,0,0,0
0,2,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,2,0,0,0,1,32,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,6,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,5,0,0,0,6,0,0,1,5,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,5,31,9,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,14,0,0,1,0,0,13,0,0,0,1,2,0,0,0,0,0,0,13,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,3,0,2,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,8,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,5,0,0,0,3,0,0,0
0,4,2,0,0,0,0,0,0,0,4,1,0,0,0,0,0,0,0,0,0,0,34,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,1,0,0,5,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,6,0,0,0,10,1,0,0,1,0,3,0,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,3,6,30,5,2,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,20,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,2,0,0,1,0,0,0,0,0,0,4,0,2,0,24,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,7,1,0,0,1,0,0,0
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