Vorticity
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nan 4 5 5 5 6 6 6 6 6 6 6 7 8 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 4 3 3 2 2 2 2 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 4 4 3 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 0 -0 1 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 3 3 4 4 4 6 12 19 22 18 12 7 3 2 3 6 8 6 2 1 4 8 12 16 13 8 5 5 6 6 7 6 6 5 5 4 4 5 6 6 4 4 5 5 4 6 8 8 7 5 5 5 5 6 8 9 8 7 7 6 6 7 8 9 6 0 -4 -3 2 5 5 4 2 0 2 4 6 5 3 2 2 2 2 1 1 -0 -3 -7 -7 -5 0 6 10 12 12 11 9 8 6 6 6 6 5 5 5 5 4 4 4 4 4 5 5 5 6 7 9 10 12 12 12 11 10 8 7 6 6 6 5 5 5 5 4 4 3 3 2 2 3 3 6 8 8 6 5 5 5 4 4 4 4 4 4 3 2 3 4 4 3 3 3 4 5 5 5 5 3 0 -2 -3 -2 -0 0 1 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 4 4 5 5 6 7 7 7 6 5 5 5 5 5 4 4 3 2 1 -0 -0 0 1 2 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 4 4 4 4 6 10 12 12 11 11 10 10 9 8 7 5 3 2 1 2 4 7 9 9 8 7 7 6 4 2 2 2 2 2 1 0 2 6 10 11 10 10 9 9 9 10 12 14 16 17 17 15 13 11 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 8 6 4 4 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 nan
nan 4 4 5 5 5 5 5 4 4 4 5 6 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 5 5 4 3 3 2 2 2 2 2 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 5 5 4 3 3 3 3 3 3 3 3 3 2 3 2 2 2 3 2 1 0 2 3 4 4 3 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 6 11 19 21 18 14 11 7 4 4 6 7 5 3 3 5 6 7 10 10 8 6 5 5 6 6 5 5 5 5 6 7 7 8 7 6 6 7 7 7 8 9 9 8 7 6 6 8 10 10 9 7 5 4 4 4 6 9 10 8 2 -4 -4 -0 3 3 3 3 3 3 4 4 3 3 3 4 4 3 3 2 -0 -2 -3 -1 3 7 11 12 12 11 10 8 7 6 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 6 7 8 10 11 12 12 12 10 9 8 7 6 6 6 5 5 5 4 4 3 3 3 2 2 3 4 6 7 6 6 6 5 5 4 4 4 4 3 3 3 3 2 2 1 1 2 3 4 5 5 4 3 1 -2 -4 -3 -0 -0 -1 0 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 7 7 6 5 5 4 4 4 4 4 3 2 1 0 0 1 2 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 2 2 2 3 3 4 5 7 8 9 9 9 9 9 9 8 7 5 2 1 1 3 5 7 8 7 6 5 3 1 -2 -2 -1 0 1 1 1 4 8 11 12 12 11 11 12 13 14 15 16 16 14 13 11 10 9 8 8 8 9 9 9 8 7 7 7 8 9 9 8 7 5 4 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 nan
nan 4 4 4 4 5 5 4 4 4 4 4 5 6 7 8 8 8 8 7 7 7 7 7 6 6 6 6 5 5 5 4 5 5 5 5 5 6 6 6 5 5 4 3 3 3 2 2 2 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 5 5 4 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 2 1 1 3 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 5 5 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 9 18 21 18 15 14 11 7 5 5 5 4 4 4 5 4 2 2 3 5 5 4 5 5 4 4 4 5 5 6 6 6 5 5 5 5 6 7 8 9 10 10 10 9 8 8 10 12 11 8 4 2 1 1 2 4 7 10 9 4 -2 -4 -2 1 1 0 1 4 5 4 2 2 3 4 5 4 3 2 1 -1 -2 -0 4 8 12 14 13 12 10 8 7 6 5 5 6 6 5 5 5 5 5 5 4 4 4 4 5 5 6 7 8 9 10 11 12 11 11 9 8 7 6 6 5 5 5 5 5 4 4 3 3 3 3 3 4 6 6 6 7 7 5 4 4 4 4 3 3 3 3 3 2 1 1 2 3 3 4 4 3 3 2 2 0 -1 -1 1 2 0 0 2 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 6 7 7 6 6 5 4 4 4 3 3 3 2 1 1 1 1 2 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 3 2 2 2 1 2 3 4 4 5 6 6 6 6 6 7 7 7 5 4 3 2 3 5 5 5 4 4 3 2 -0 -2 -2 -1 -0 2 5 7 9 11 12 13 12 12 12 14 15 16 17 16 14 11 10 10 9 8 7 8 8 8 7 6 6 6 6 7 8 8 7 6 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 3 4 4 4 4 5 4 4 4 4 4 4 5 6 7 8 8 8 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 4 3 2 2 2 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 6 5 4 3 3 2 3 3 3 3 2 2 2 2 3 3 3 2 2 1 2 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 7 15 20 18 14 12 11 9 7 4 4 4 5 5 5 4 1 0 2 4 5 5 5 5 4 4 4 5 5 4 3 3 2 3 4 5 5 6 6 6 7 7 7 8 8 7 8 9 9 6 4 2 1 0 0 2 4 7 8 5 1 -2 0 1 -2 -3 -0 4 4 3 1 2 3 4 4 3 2 1 -1 -3 -0 5 10 14 15 15 13 10 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 7 8 9 10 11 11 11 10 8 7 6 6 5 5 5 5 5 4 4 4 3 3 3 3 5 7 7 7 6 5 4 4 4 4 3 3 3 4 4 4 3 3 3 4 4 4 3 2 2 1 2 2 2 1 1 3 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 3 3 3 3 4 4 3 3 3 4 4 4 4 5 5 6 6 7 7 6 5 4 4 3 3 3 2 2 2 1 1 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 2 1 1 1 1 3 4 4 5 5 5 5 5 5 6 6 5 5 5 6 6 5 4 2 2 2 2 2 2 2 2 1 1 3 8 13 14 14 14 14 14 14 13 14 15 17 16 15 11 9 8 8 8 7 7 7 7 6 5 4 4 5 6 7 7 7 6 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 3 2 2 2 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 5 5 4 3 3 3 3 3 3 2 2 2 3 3 3 3 2 1 1 3 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 7 7 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 6 10 15 16 13 10 9 9 7 6 6 7 7 6 6 5 4 4 5 6 6 5 5 5 5 5 5 5 5 4 3 2 2 3 5 5 5 5 4 3 2 1 2 4 6 6 5 5 5 4 4 3 2 2 2 2 3 5 5 5 5 5 5 3 -3 -5 -1 3 4 3 3 3 4 3 2 2 2 0 -2 -1 5 11 16 18 17 13 10 8 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 7 8 9 10 10 10 10 10 8 7 6 6 5 5 4 4 4 4 4 4 4 4 3 3 5 7 8 6 4 3 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 2 1 1 2 3 3 3 2 2 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 7 6 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 6 6 6 6 5 5 4 3 3 2 2 2 2 1 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 4 3 2 2 2 2 2 2 1 1 1 2 4 4 5 5 6 6 6 6 6 7 7 7 8 8 8 6 3 1 0 0 1 3 4 5 6 5 5 7 11 14 15 15 15 15 15 15 15 14 15 15 14 13 10 8 7 7 6 6 6 6 5 4 3 4 5 6 7 7 7 6 5 4 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 7 7 7 7 7 8 8 7 7 6 6 5 5 5 5 5 5 4 5 6 6 6 6 6 6 6 6 5 4 3 2 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 5 5 4 3 3 3 3 2 2 2 2 3 3 3 2 1 1 2 3 5 4 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 7 11 14 13 9 8 9 9 9 11 11 9 6 5 6 7 7 8 7 7 5 4 4 5 7 7 7 6 5 4 3 3 4 4 5 5 4 3 2 0 -2 -2 1 5 7 5 4 3 3 4 5 5 4 4 5 5 2 1 4 9 11 10 5 -1 -2 1 3 3 3 5 5 4 3 2 3 2 1 1 4 11 17 20 19 15 11 8 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 10 10 10 10 9 8 7 6 5 5 4 4 4 4 4 4 4 4 3 3 4 6 7 5 3 3 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 4 4 3 2 2 2 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 4 3 3 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 4 3 2 1 1 1 1 2 3 3 3 2 3 4 4 5 5 6 6 6 6 6 7 7 7 8 9 9 7 4 2 0 1 2 3 5 7 9 9 10 12 13 14 14 14 15 15 15 14 14 14 13 13 12 11 9 8 7 5 5 5 5 5 4 3 3 4 6 7 6 6 6 5 4 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 nan
nan 5 5 5 5 5 4 4 4 4 4 5 5 5 6 5 5 5 5 5 6 7 7 7 8 8 9 8 8 7 6 5 5 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 5 4 3 3 3 4 4 3 3 3 3 3 4 3 3 3 4 4 4 4 5 5 5 5 6 5 5 5 4 4 3 3 3 2 2 3 3 3 3 2 2 1 1 2 4 4 4 3 3 2 2 3 3 3 3 3 3 4 4 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 4 6 10 14 14 10 8 10 13 14 15 14 10 6 5 5 6 7 7 7 6 5 5 5 5 7 9 10 8 6 6 6 5 5 4 5 5 4 4 2 0 -2 -2 1 6 8 8 6 4 4 4 6 7 5 4 6 6 1 -2 1 8 11 9 5 1 1 3 3 2 3 5 5 5 4 4 3 1 0 3 9 16 20 19 15 11 7 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 9 9 10 9 9 8 7 6 6 5 4 4 4 4 4 4 4 4 3 3 3 6 7 5 4 4 4 5 5 5 5 4 4 3 3 4 4 5 5 5 5 5 5 5 5 4 5 5 4 4 3 3 1 1 2 3 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 4 4 3 3 2 2 3 3 3 2 2 3 3 3 4 4 5 5 5 5 4 3 3 2 2 2 2 1 2 2 4 4 3 3 3 4 5 6 6 6 6 6 6 6 6 6 7 8 9 10 9 6 4 4 5 6 8 11 12 12 13 14 14 13 13 13 12 12 11 11 10 11 11 11 11 10 9 7 6 4 4 5 5 4 3 4 4 5 6 7 6 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 nan
nan 6 6 5 5 5 4 4 4 4 4 5 5 5 6 5 5 4 4 5 6 6 7 7 8 8 9 9 9 8 6 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 4 3 3 4 4 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 2 2 2 2 3 3 3 2 2 2 1 2 3 4 4 3 3 2 2 3 3 4 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 6 10 14 17 14 10 10 14 16 15 12 8 6 6 6 5 4 4 5 6 6 7 7 6 6 9 10 10 8 7 8 7 6 5 5 6 5 4 4 2 -0 -0 3 6 8 9 8 6 5 4 6 7 5 3 4 6 3 -1 -0 4 7 6 3 3 3 3 3 2 3 4 6 7 7 5 2 -1 -0 6 14 19 19 15 11 7 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 6 7 7 8 9 9 9 9 8 8 7 6 5 5 5 4 5 5 5 5 4 4 3 3 6 8 8 6 5 5 5 5 5 5 4 3 3 3 3 4 5 6 5 5 5 5 5 5 5 6 6 5 4 4 4 3 2 2 3 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 4 3 3 4 3 3 2 3 3 3 3 3 4 4 5 5 4 3 3 3 3 4 5 5 4 3 3 4 4 3 2 2 3 4 5 6 5 5 6 6 5 5 5 5 6 8 11 12 12 10 9 10 11 11 13 13 12 12 12 12 12 12 11 10 8 6 5 5 6 8 9 10 9 8 7 5 4 4 4 4 4 4 5 5 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 nan
nan 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 6 6 7 7 8 9 9 9 8 7 6 5 5 5 4 4 4 4 4 5 5 5 6 6 5 5 6 6 6 5 4 3 4 4 4 4 3 3 2 2 3 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 4 3 2 2 2 2 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 5 7 9 12 16 14 9 7 9 10 9 7 6 7 7 6 4 1 0 1 3 6 8 8 6 4 5 7 8 8 8 8 8 6 6 7 7 5 4 5 4 2 3 5 7 7 7 7 6 4 3 5 6 6 4 4 6 5 2 1 3 5 3 2 3 4 4 5 4 4 5 7 9 8 4 -1 -4 0 9 17 19 16 11 7 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 4 4 5 5 6 7 7 8 9 9 9 9 8 7 7 6 5 5 5 5 5 5 5 4 4 3 4 6 9 10 9 7 6 6 5 5 4 4 4 3 3 4 4 5 6 6 6 5 5 5 4 5 7 7 6 4 4 5 4 3 3 3 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 4 4 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 2 3 3 4 6 8 7 6 5 4 3 2 2 2 3 4 4 5 5 5 6 6 5 5 4 4 5 6 9 11 13 13 12 12 12 12 13 12 11 10 10 10 11 11 10 9 7 5 4 4 5 6 7 8 8 7 6 5 5 4 4 4 4 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 5 5 6 6 nan
nan 5 5 5 5 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 7 7 6 6 5 5 4 4 4 4 4 4 4 5 6 6 5 5 5 6 6 5 5 4 4 5 5 4 4 3 2 2 3 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 4 3 2 2 2 2 2 3 3 4 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 3 2 3 3 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 5 7 8 10 12 11 6 3 2 2 3 5 5 6 5 4 3 2 -0 -1 -0 2 4 7 6 3 2 4 7 8 8 8 7 6 7 7 7 5 4 5 4 3 5 8 8 7 6 5 4 2 2 4 6 5 4 6 7 7 5 4 6 7 6 3 3 4 5 6 5 5 5 6 6 4 -0 -5 -6 0 10 16 16 12 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 7 7 8 9 9 9 8 8 7 6 6 5 5 5 5 5 5 5 4 4 4 6 8 10 10 9 8 7 6 5 5 5 5 5 4 4 4 5 5 6 7 6 5 5 4 5 7 7 6 5 5 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 3 3 4 4 4 4 3 2 2 2 3 4 6 7 6 5 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 7 9 11 12 12 11 11 11 11 10 10 9 9 10 10 10 10 9 9 9 9 9 8 7 7 7 7 7 6 5 5 5 5 4 4 5 6 6 5 4 5 5 4 4 4 4 4 4 4 4 3 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 nan
nan 5 5 5 5 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 6 6 5 5 4 4 4 4 3 3 3 4 5 5 5 5 5 6 6 6 5 5 4 5 5 5 4 4 3 2 3 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 4 3 2 2 2 2 2 3 4 4 3 3 2 2 2 2 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 3 4 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 5 6 7 8 11 11 9 4 0 -1 1 4 6 6 3 1 1 4 5 4 1 -2 -3 -1 2 5 5 3 3 6 8 9 8 6 6 7 8 8 6 5 3 3 3 5 7 8 7 5 3 2 1 2 5 6 3 2 5 8 8 5 6 10 11 9 6 4 4 5 6 5 4 3 2 1 -1 -4 -7 -7 -0 9 15 13 9 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 4 4 4 5 5 6 6 7 8 9 9 9 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 6 7 8 9 10 9 8 8 7 7 7 6 6 5 5 5 5 5 6 5 5 6 5 5 6 6 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 3 3 2 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 3 4 4 4 4 3 3 3 3 4 3 2 1 2 2 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 6 7 7 6 6 5 6 7 8 9 9 10 10 9 9 9 9 9 9 9 10 9 9 9 9 10 11 12 12 11 9 8 9 8 7 6 5 5 5 6 5 4 5 5 6 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 5 5 5 5 5 nan
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nan 13 15 17 18 16 14 13 11 10 9 8 8 7 7 5 3 2 2 4 6 9 10 11 10 10 9 10 10 12 14 16 17 16 14 12 9 6 4 3 5 7 9 11 11 11 10 9 7 8 9 10 12 15 18 18 17 17 16 16 17 17 18 18 17 15 14 12 11 11 12 14 15 17 17 17 15 14 14 13 13 13 12 11 10 9 9 9 10 11 13 14 15 15 15 14 14 13 13 13 13 13 13 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 13 13 12 12 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 12 13 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 14 15 15 13 12 9 8 9 9 10 11 12 12 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 10 10 8 7 9 12 14 16 16 14 12 10 7 6 6 8 10 12 13 13 12 11 10 10 8 7 5 4 5 6 9 11 12 12 12 12 12 13 13 12 10 9 9 10 12 12 12 11 11 11 11 12 13 13 12 11 10 9 8 6 6 6 7 8 10 11 11 12 12 13 13 13 13 13 13 12 11 8 5 2 1 2 6 9 11 13 13 13 13 13 14 14 14 15 15 15 16 16 16 16 16 16 16 16 15 15 15 16 16 17 19 21 24 26 29 33 37 39 40 42 43 43 43 42 41 40 38 37 35 34 31 29 27 26 25 23 22 22 20 19 18 17 16 16 15 15 15 15 15 15 16 16 16 17 18 19 19 19 18 18 17 17 16 14 13 12 12 11 11 11 11 10 11 10 9 8 6 4 3 4 5 7 9 10 11 11 11 11 11 11 11 10 10 9 8 8 8 9 12 14 16 16 17 16 15 15 15 14 14 14 13 13 13 13 13 14 14 14 14 15 15 15 15 15 15 15 14 14 14 13 13 13 13 13 13 14 14 15 16 16 16 16 16 15 15 15 15 14 13 13 12 13 13 14 13 13 12 12 12 13 14 14 14 14 13 13 12 11 11 11 12 12 12 12 11 11 10 11 11 12 13 13 nan
nan 14 16 18 20 19 18 16 14 12 11 10 9 8 7 5 3 2 2 4 7 10 12 13 12 11 11 11 11 11 13 14 14 13 12 10 8 6 5 4 4 6 8 10 11 10 9 8 7 8 9 11 13 14 15 15 14 13 13 14 15 15 16 15 14 12 10 8 8 8 9 10 12 14 15 16 16 16 15 15 14 13 12 10 8 7 7 7 8 8 9 10 11 13 13 14 14 14 14 14 14 14 14 14 15 15 15 16 16 16 16 16 15 15 15 14 14 14 14 14 14 14 14 14 15 15 14 14 13 12 12 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 13 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 12 12 12 11 10 9 9 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 12 12 12 12 11 10 10 12 13 14 14 12 10 6 4 3 5 9 12 16 16 14 12 11 10 9 7 6 4 4 5 7 9 11 13 13 12 12 12 12 12 11 9 9 8 9 11 11 10 9 8 9 11 12 12 12 11 9 8 7 7 7 7 8 10 11 11 12 12 12 12 12 13 12 12 11 11 11 9 7 3 2 3 6 9 12 14 14 13 13 13 12 13 13 13 13 14 14 14 15 15 16 16 17 17 17 17 17 17 16 16 15 15 15 16 17 19 21 24 27 30 33 35 37 38 40 41 43 42 42 42 41 40 39 37 36 34 32 30 29 27 26 24 22 21 19 18 17 17 16 15 14 13 13 12 12 13 14 16 17 17 17 17 17 16 15 13 12 12 12 11 11 11 11 11 11 10 9 8 7 6 7 8 10 11 11 12 12 12 11 11 11 10 10 10 10 10 12 14 16 18 19 19 18 18 17 16 16 15 15 14 14 14 14 14 14 14 14 14 14 14 15 15 15 16 16 15 15 14 14 13 13 13 13 13 13 13 14 14 15 15 15 15 14 13 13 13 13 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 10 11 12 12 12 12 11 10 10 10 11 11 12 13 nan
nan 15 16 17 18 17 16 15 14 12 11 11 11 11 10 7 4 3 2 4 7 10 12 13 14 13 12 12 12 12 12 13 12 11 10 9 8 7 7 7 7 8 9 11 12 12 11 11 11 12 13 13 15 15 14 13 12 11 11 12 12 12 12 11 10 8 7 5 5 5 5 6 8 9 12 13 15 16 16 15 14 13 11 10 9 8 8 8 8 8 9 9 9 10 12 13 14 14 14 14 14 14 14 14 14 15 15 16 16 17 17 16 16 15 14 14 14 13 13 12 12 12 13 14 15 15 15 14 14 13 12 12 12 12 13 13 13 12 12 12 12 13 14 15 16 16 17 16 16 15 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 11 11 12 13 13 13 11 9 8 6 7 8 9 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 11 11 12 12 12 12 13 13 12 11 10 10 9 10 11 11 9 8 5 4 6 9 14 17 18 16 14 12 11 10 8 6 5 4 4 5 7 9 11 12 13 12 12 11 12 13 12 10 9 7 8 9 10 10 10 10 10 11 12 12 12 10 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 11 9 8 8 7 6 5 4 5 6 9 11 13 14 14 14 14 13 13 13 14 14 14 14 14 14 14 14 14 15 15 16 17 17 18 18 18 18 17 16 15 15 14 14 14 15 16 17 20 22 24 27 29 32 34 36 38 40 41 42 43 43 43 43 41 40 38 36 35 33 31 28 26 24 22 20 17 15 13 11 10 8 8 8 9 10 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 13 13 13 12 12 12 11 11 10 10 11 12 14 16 18 19 20 20 19 19 18 17 16 16 15 15 15 15 15 15 14 14 14 14 14 14 14 15 15 16 16 16 15 15 15 14 13 13 12 12 12 13 13 14 14 14 14 14 13 12 11 11 11 11 12 13 14 14 14 14 13 13 12 12 13 13 13 13 13 13 12 12 12 11 11 10 10 11 12 12 12 11 11 10 10 10 10 11 12 12 nan
nan 14 15 16 15 14 13 12 11 10 10 10 12 13 12 9 7 4 4 5 7 10 13 14 16 16 15 14 13 13 12 11 10 9 8 7 7 7 8 9 9 10 11 12 13 13 14 14 14 14 15 15 15 14 13 12 11 11 11 11 11 10 10 9 8 7 6 5 4 4 4 4 5 6 8 10 10 11 12 12 12 11 11 10 10 10 10 11 10 10 10 9 9 10 11 12 14 14 14 14 13 13 13 12 13 13 13 14 15 16 16 16 16 15 14 14 13 13 12 11 11 11 12 13 14 14 15 15 15 14 14 14 14 14 14 13 12 12 11 11 12 13 14 15 16 17 18 18 18 17 15 14 14 13 13 13 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 13 11 9 7 5 6 7 8 9 10 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 10 10 10 11 11 11 11 11 10 10 10 9 9 10 11 11 12 12 12 11 10 9 8 8 9 9 9 9 8 8 8 11 14 16 16 15 13 12 11 10 9 7 6 5 4 5 6 8 9 10 11 12 12 12 13 13 14 13 11 9 7 7 8 9 11 11 11 12 12 12 13 12 12 11 11 12 12 13 13 13 13 13 12 12 12 13 12 11 10 7 5 3 4 5 6 7 8 9 11 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 16 16 17 17 17 17 17 16 16 15 14 14 13 13 13 14 15 16 18 20 22 23 26 30 32 35 37 40 41 43 44 46 46 45 44 42 41 38 36 33 31 27 24 21 18 16 14 11 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 12 12 11 11 10 11 11 13 14 15 16 17 17 18 18 18 17 17 17 16 15 15 15 15 15 15 15 14 14 14 14 14 14 15 15 15 15 15 15 15 15 14 13 13 13 13 13 14 14 14 14 14 14 13 12 11 10 10 11 12 12 13 14 14 14 14 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 10 11 11 12 nan
nan 13 14 15 14 13 11 11 9 8 9 11 12 14 14 11 9 7 6 7 9 12 14 16 18 19 18 16 14 13 12 10 9 7 7 6 5 6 7 8 9 10 11 12 13 13 14 16 17 16 15 15 13 12 11 11 10 10 11 11 11 11 10 9 9 8 8 7 6 5 4 4 4 5 6 7 7 7 8 8 9 10 10 11 11 11 11 12 12 11 11 11 11 11 11 12 13 13 13 13 12 11 11 11 11 10 11 12 14 15 16 16 16 15 14 14 13 12 12 11 11 11 12 12 13 14 14 15 15 15 15 15 15 15 14 13 13 11 11 11 11 12 14 15 16 17 18 18 17 16 15 14 14 13 13 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 15 16 14 11 9 7 6 6 8 9 10 10 10 10 9 9 10 11 12 12 12 12 12 11 12 12 12 12 12 12 11 11 11 12 12 12 12 11 10 10 10 10 11 11 11 11 10 9 8 7 7 8 10 12 13 13 12 10 9 8 7 7 9 9 10 10 10 11 12 13 14 14 12 11 10 11 11 11 9 8 6 5 5 6 7 8 9 9 10 11 13 13 14 14 13 12 10 9 7 7 8 9 10 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 13 13 13 12 12 12 11 9 7 4 2 2 4 6 9 10 11 12 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 15 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 16 16 16 16 16 16 15 15 15 14 14 14 14 14 15 15 16 18 19 21 25 28 31 34 36 39 42 44 45 46 46 45 44 43 41 38 34 32 28 25 23 21 18 15 13 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 12 11 11 11 10 11 11 12 12 13 14 15 16 17 18 18 18 17 17 16 16 15 15 15 15 15 15 15 15 14 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 15 15 15 15 14 14 13 12 11 11 11 12 13 14 14 14 14 13 13 13 13 13 13 14 14 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 10 9 9 10 10 10 11 nan
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nan 16 16 15 11 6 6 6 7 10 11 12 13 13 12 10 8 8 9 10 11 12 13 14 17 18 17 14 13 11 10 9 8 8 7 7 7 6 6 6 6 7 8 9 10 11 13 14 14 14 13 12 11 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 10 8 8 7 7 7 7 7 7 8 9 9 10 11 11 11 11 11 12 12 12 13 13 12 12 12 12 11 11 11 11 10 10 9 9 8 8 7 8 9 10 12 13 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 14 14 15 15 15 15 15 15 14 13 13 12 11 11 11 12 13 14 14 14 14 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 12 12 12 12 12 12 12 12 13 15 16 17 15 13 9 6 7 8 9 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 11 10 9 9 9 10 12 13 12 11 10 8 8 8 8 10 10 11 11 12 12 12 13 13 13 11 10 10 10 11 12 11 9 8 6 6 7 8 10 10 10 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 11 9 9 8 9 9 10 10 9 9 9 9 8 8 8 10 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 13 13 13 13 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 14 15 16 16 16 17 17 17 17 16 16 15 14 14 14 13 13 14 15 17 19 22 26 29 33 37 40 43 44 45 46 46 44 43 40 37 34 31 29 26 22 20 19 17 16 15 14 13 13 12 12 11 11 11 11 11 10 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 10 11 11 12 13 14 15 16 17 18 19 19 19 18 17 17 17 17 16 16 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 17 17 17 17 16 15 14 13 12 11 11 12 13 14 15 14 14 12 11 11 12 12 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 8 9 9 10 nan
nan 16 16 12 9 6 6 6 9 12 14 15 14 13 10 7 6 6 7 8 10 10 11 12 13 13 12 11 11 10 10 9 8 8 8 8 8 8 7 7 7 7 9 10 12 12 13 13 13 12 12 11 11 10 10 10 11 11 11 12 12 11 11 11 11 12 12 11 11 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 8 8 9 10 11 12 13 14 14 15 14 14 14 14 13 13 13 13 12 12 12 12 12 13 14 14 14 14 14 14 13 13 12 12 12 13 13 14 14 14 13 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 11 11 13 14 15 13 11 7 4 4 5 7 9 9 9 10 10 10 11 11 12 12 12 12 11 11 11 11 12 11 11 10 10 9 9 9 10 11 11 11 11 11 12 12 12 11 11 11 11 12 13 13 12 11 10 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 9 8 9 10 11 11 10 7 6 4 4 7 9 10 10 10 9 8 8 9 9 8 7 6 4 4 6 7 9 11 11 12 12 12 12 13 13 13 12 12 11 10 10 9 7 6 5 5 7 8 9 10 11 11 11 12 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 13 13 13 13 13 13 13 13 13 13 14 14 15 15 16 16 17 17 17 17 17 17 16 15 14 13 12 11 11 12 14 17 20 24 28 32 35 39 43 44 46 46 46 45 43 40 37 34 31 28 25 23 21 19 18 16 15 14 14 13 12 12 12 11 11 10 9 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 12 13 14 15 16 18 19 19 19 19 19 18 18 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 15 15 15 15 15 15 15 16 16 16 16 17 17 17 17 16 16 15 14 13 13 12 12 13 13 13 14 13 13 12 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 12 13 12 12 13 12 12 12 12 11 10 10 9 9 10 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
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37 40 44 45 44 41 37 36 34 32 30 29 28 28 29 30 33 35 35 32 28 26 27 29 30 31 31 32 33 34 34 32 28 32 34 28 25 27 28 26 23 19 16 15 14 15 15 18 22 25 26 28 29 28 26 23 19 25 28 25 21 17 14 13 13 11 10 11 12 12 12 12 11 10 10 11 11 11 10 8 7 7 7 8 7 7 5 4 3 4 3 3 3 3 3 4 4 3 4 4 3 2 2 2 2 2 2 2 2 1 1 1 1 1 2 3 3 3 3 4 4 5 5 6 5 4 4 4 3 5 21 9 5 18 30 42 52 54 52 46 32 5 4 1 2 1 1 0 0 0 0 17 59 302 864 1249 962 595 1051 983 788 745 901 1045 1122 1110 1046 995 952 900 855 764 571 431 299 198 281 448 676 737 366 131 32 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 15 42 9 0 0 0 0 0 11 80 246 711 1563 2206 2136 1785 1651 1618 1614 1831 2070 2285 2061 2083 2195 2311 2451 2384 2432 2693 2842 2783 2844 3133 3241 3199 3162 3111 3028 2935 2866 2811 2742 2718 2697 2592 2463 2403 2378 2319 2270 2293 2357 2534 2712 2654 2696 2914 2959 3067 3076 3049 3043 3112 3340 3630 3872 4108 4249 4193 4117 4009 3914 3829 3765 3717 3683 3614 3504 3364 3206 3098 3013 2948 2914 2852 2854 2721 2648 2618 2493 2557 2522 2440 2406 2364 2334 2330 2323 2280 2261 2306 2360 2452 2515 2406 2320 2150 1937 1841 1777 1754 1775 1879 2071 2204 2215 2199 2218 2258 2306 2332 2330 2312 2238 2119 1987 1856 1754 1688 1669 1720 1885 2147 2446 2732 2931 3070 3090 2978 2799 2619 2385 2240 2171 2110 2159 2258 2354 2484 2618 2712 2768 2875 3030 3084 3136 3343 3411 3415 3422 3430 3377 3248 3159 3133 3168 3291 3381 3260 3113 2923 2515 2282 2375 2267 2058 1866 1822 1859 1792 1626 1536 1561 1631 1808 1999 2235 2328 2413 2545 2712 2804 2832 2837 2834 2867 2958 3122 3354 3563 3773 3714 3671 3752 3870 3893 3953 3977 3951 3911 3901 3915 3872 3725 3594 3543 3460 3313 3200 3117 2987 2874 2826 2832 2858 2887 2924 2958 2963 2926 2832 2687 2508 2309 2138 2017 1996 2021 2021 1994 1974 2014 2121 2327 2637 2904 2912 2654 2378 2268 2277 2326 2313 2214 2096 1984 1912 1975 2150 2125 1766 1336 1229 1599 1856 1767 1632 1617 1763 2025 2091 2135 2268 2480 2864 3153 3238 3219 3204 3203 3200 3193 3214 3236 3236 3243 3104 2913 2723 2542 2487 2694 3034 3306 3427 3367 3177 3044 2997 2990
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4 4 4 4 3 4 5 5 6 7 9 10 12 10 9 8 8 8 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 2 1 1 1 0 0 1 1 1 2 2 3 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 6 4 6 7 9 10 8 6 5 6 8 9 10 12 13 15 15 14 15 16 17 19 19 21 21 20 18 18 18 16 16 16 17 18 20 22 20 17 14 10 7 5 4 3 2 2 2 3 3 3 4 4 4 4 3 3 5 6 6 7 8 9 11 12 13 14 15 16 16 15 16 17 17 17 17 17 16 16 14 13 13 12 10 8 7 6 4 4 3 2 3 2 2 2 2 4 5 6 7 8 10 12 14 16 16 16 20 27 31 39 52 63 72 82 94 106 100 80 58 44 44 53 75 77 53 21 3 4 5 5 5 10 17 30 49 72 93 117 140 159 173 182 183 167 159 174 203 241 288 358 461 572 685 768 813 816 777 694 600 482 357 280 319 495 616 683 757 818 869 911 943 976 995 1009 1013 999 981 1060 1064 1053 1124 1256 1446 1589 1499 1595 1943 2138 2179 2265 2485 2604 2667 2667 2630 2553 2429 2283 2133 1972 1848 1778 1754 1754 1758 1740 1685 1642 1586 1558 1591 1678 1805 1882 1919 1908 1853 1764 1650 1519 1410 1315 1243 1181 1134 1092 1065 1123 1289 1654 2083 2187 2250 2294 2288 2242 2187 2129 2092 2061 2046 2008 1984 1989 1991 1984 1986 2000 2021 2041 2053 2065 2071 2083 2100 2106 2099 2088 2061 2032 2009 1987 1961 1941 1932 1929 1922 1888 1824 1752 1701 1656 1637 1601 1562 1534 1531 1591 1629 1642 1618 1537 1400 1258 1162 1178
4 5 4 4 4 4 5 5 5 6 8 9 10 10 8 8 8 8 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 1 1 1 1 1 0 0 0 0 1 2 2 2 2 3 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 7 6 6 8 9 9 8 6 5 7 8 10 11 12 13 14 15 15 15 17 18 18 19 20 20 20 20 20 20 18 16 16 17 19 22 25 24 21 17 13 10 7 5 4 3 3 4 4 4 5 5 5 5 5 5 5 6 6 6 6 7 8 9 10 12 14 16 17 16 16 17 18 18 18 18 18 17 16 16 15 14 14 13 11 10 9 8 7 6 5 5 4 4 3 4 6 7 8 9 9 9 11 12 13 14 17 20 28 35 45 56 66 74 85 98 108 100 80 63 60 72 79 91 101 77 39 13 4 4 4 5 6 6 7 11 25 44 68 95 120 144 165 179 164 155 154 160 171 201 274 384 499 619 726 799 818 792 721 640 535 413 323 346 521 607 668 704 750 817 858 892 916 936 965 986 949 841 921 965 998 1059 1193 1368 1331 1187 1293 1561 1752 1836 1930 2219 2460 2618 2690 2692 2666 2615 2543 2425 2256 2059 1898 1782 1711 1693 1703 1688 1632 1571 1548 1582 1674 1777 1829 1814 1742 1639 1532 1416 1294 1194 1114 1049 986 953 932 920 925 958 1100 1438 1684 1959 2082 2098 2098 2118 2124 2145 2140 2121 2086 2047 2028 2022 2017 2016 2026 2050 2075 2088 2107 2125 2143 2150 2155 2137 2105 2070 2042 2022 1997 1959 1940 1939 1927 1910 1881 1831 1771 1724 1687 1661 1643 1636 1633 1654 1677 1705 1714 1657 1499 1390 1273 1145 1105
4 4 4 4 5 4 4 5 5 6 7 8 9 10 9 8 8 8 7 5 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 5 6 6 7 9 8 8 8 9 9 8 6 6 7 9 10 11 12 14 14 14 15 14 13 13 14 16 18 19 20 21 21 20 19 18 17 18 21 23 25 24 22 19 16 12 9 7 5 5 5 5 5 5 6 6 5 5 6 6 6 6 6 6 6 7 7 9 11 14 18 19 20 19 19 18 19 19 18 18 18 18 16 16 17 16 16 15 14 14 12 12 11 10 8 7 6 6 5 5 7 9 10 11 10 11 12 11 11 12 14 19 27 36 48 59 67 75 85 100 108 100 85 74 76 91 94 99 91 68 48 42 24 14 7 4 4 5 6 6 10 19 32 48 69 93 121 142 147 145 144 147 155 183 248 341 454 579 694 772 823 821 782 718 627 508 388 384 484 533 535 538 592 690 740 799 839 864 885 895 873 791 786 797 817 848 838 623 491 543 675 907 1152 1326 1524 1797 1980 2292 2521 2610 2676 2677 2627 2514 2354 2182 2021 1862 1739 1664 1656 1660 1639 1602 1582 1634 1709 1767 1777 1725 1622 1504 1391 1277 1170 1086 1030 977 931 897 872 866 880 902 946 1055 1231 1380 1516 1714 1902 2082 2178 2237 2241 2202 2149 2107 2090 2078 2068 2065 2072 2089 2113 2129 2151 2170 2170 2156 2173 2153 2120 2080 2047 2025 1993 1961 1948 1944 1932 1910 1883 1835 1784 1736 1701 1688 1695 1708 1722 1727 1714 1718 1719 1665 1536 1396 1268 1178 1141
4 4 4 4 5 4 4 4 5 5 7 8 9 9 9 8 8 8 7 5 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 3 5 7 8 9 9 11 10 10 9 10 10 9 7 7 8 9 11 12 13 14 13 12 12 11 10 10 11 14 16 18 19 21 22 22 20 19 19 20 23 24 23 22 21 19 16 13 11 8 7 6 7 7 7 6 6 6 6 6 6 6 5 5 6 7 8 7 7 9 11 16 19 20 20 21 21 20 20 20 19 19 19 19 18 17 18 19 19 18 17 17 14 14 14 14 12 9 8 8 8 8 9 11 13 13 13 12 13 13 14 14 15 18 24 32 46 60 69 76 83 95 113 118 113 108 99 109 123 121 99 70 51 45 34 30 25 15 5 4 6 6 7 9 12 17 23 35 52 69 90 104 116 133 151 189 250 343 457 575 679 755 824 852 849 816 744 635 525 488 489 491 471 439 445 491 566 666 747 795 817 831 821 774 723 681 659 654 612 341 107 117 238 414 639 849 1069 1327 1535 1788 2100 2389 2617 2632 2591 2498 2365 2210 2054 1901 1769 1665 1621 1623 1648 1662 1649 1685 1727 1748 1723 1647 1531 1423 1314 1214 1127 1057 1018 980 943 900 859 838 848 859 872 897 955 1050 1186 1339 1561 1920 2136 2226 2244 2227 2202 2178 2156 2135 2124 2122 2114 2118 2133 2156 2183 2199 2193 2180 2176 2163 2136 2095 2047 2016 1985 1961 1956 1962 1954 1932 1898 1842 1787 1746 1728 1717 1686 1675 1677 1672 1659 1657 1640 1589 1521 1424 1312 1220 1167
3 4 4 4 5 4 4 4 4 5 6 8 9 9 8 8 8 8 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 4 5 7 9 10 11 11 12 12 11 10 10 9 9 9 9 9 10 11 13 14 13 10 7 7 7 8 9 9 11 12 14 16 17 19 20 19 19 19 20 22 24 24 20 19 18 16 14 12 10 9 8 8 8 7 6 6 6 7 7 8 8 7 6 6 6 7 7 7 8 10 14 15 17 18 20 20 21 21 21 21 21 20 19 19 18 19 20 21 21 21 19 17 16 15 15 15 13 12 12 11 12 12 14 16 15 15 16 17 18 20 21 21 19 21 27 37 50 62 70 77 87 114 137 143 140 131 136 152 151 125 88 52 28 23 28 34 27 10 4 5 6 8 8 9 8 9 11 14 19 23 40 66 92 125 177 256 352 455 561 663 754 829 890 932 932 873 782 695 623 568 530 496 443 392 385 453 573 682 740 762 783 784 745 683 627 597 558 363 139 31 15 57 140 253 386 578 757 967 1254 1602 2034 2369 2491 2507 2451 2339 2200 2053 1904 1769 1656 1581 1565 1636 1675 1690 1701 1708 1699 1643 1563 1453 1344 1252 1181 1121 1067 1028 997 962 920 877 842 823 816 823 846 906 998 1086 1157 1310 1566 1825 2035 2172 2197 2227 2220 2195 2178 2174 2157 2133 2133 2143 2163 2195 2214 2215 2211 2198 2168 2117 2065 2026 2007 1996 1992 1993 1991 1977 1950 1907 1853 1807 1779 1750 1699 1625 1576 1537 1513 1521 1520 1498 1483 1471 1425 1345 1261 1179
2 4 4 4 4 4 4 4 4 4 5 7 9 9 8 8 8 8 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 4 6 7 9 11 12 13 12 11 11 11 10 9 9 10 10 10 10 11 12 13 14 10 7 5 4 4 5 6 7 8 9 11 12 13 14 16 18 19 19 19 21 24 24 20 18 17 15 14 14 12 11 9 9 8 7 6 7 7 8 9 10 10 9 7 6 6 6 6 6 7 10 11 14 15 17 18 18 20 20 21 22 22 21 21 20 19 20 20 21 22 23 21 20 18 17 18 19 19 17 16 15 16 17 18 19 18 18 20 21 22 23 25 25 23 24 26 31 39 49 61 70 78 99 124 145 160 160 165 176 167 140 102 59 36 23 32 28 9 0 1 3 5 6 6 6 6 6 6 7 9 9 12 21 47 92 155 236 326 416 517 615 706 802 904 984 1009 966 900 825 761 700 646 607 536 448 385 400 485 592 672 719 752 751 711 647 582 522 381 119 11 4 5 18 34 44 85 232 422 614 826 1112 1555 1939 2204 2364 2419 2339 2207 2068 1920 1782 1668 1581 1522 1591 1652 1690 1697 1669 1630 1572 1480 1378 1286 1218 1170 1128 1091 1063 1034 994 944 898 870 858 843 825 832 886 969 1020 1114 1160 1277 1521 1746 2066 2201 2240 2253 2239 2228 2206 2187 2171 2159 2156 2177 2230 2248 2245 2226 2188 2133 2057 2008 1997 1984 1991 2008 2022 2005 1979 1945 1902 1855 1810 1769 1713 1632 1555 1496 1445 1403 1387 1371 1353 1340 1342 1335 1317 1272 1215
2 3 4 4 4 4 4 4 4 4 5 7 9 10 9 8 8 8 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 4 8 9 10 12 13 13 12 10 10 11 9 9 10 11 11 11 11 12 13 14 14 10 8 5 4 4 4 5 6 8 9 10 10 10 12 15 18 19 19 19 21 23 23 21 19 19 18 18 17 15 12 11 11 11 9 8 8 8 9 10 11 10 11 10 9 9 10 9 7 7 8 10 12 15 17 17 16 18 19 21 23 23 22 20 19 19 19 20 20 22 24 24 22 20 19 19 21 20 19 18 18 19 20 23 22 21 21 23 26 28 28 29 28 27 25 25 26 30 36 50 59 67 78 95 120 150 162 182 190 180 156 123 89 66 45 30 15 1 1 1 1 2 2 2 3 3 2 2 4 6 8 10 10 23 51 107 187 273 363 458 550 642 756 871 952 987 986 956 917 881 845 801 740 651 538 439 403 432 510 613 681 712 706 666 605 537 471 363 201 88 34 10 19 31 40 42 86 182 315 489 683 1057 1457 1792 2063 2333 2316 2233 2104 1950 1802 1684 1594 1541 1535 1565 1625 1677 1627 1550 1468 1388 1317 1260 1215 1175 1142 1122 1104 1072 1027 976 938 920 911 887 853 828 815 823 882 992 1096 1228 1523 1512 1695 1855 2059 2265 2269 2259 2239 2226 2214 2204 2206 2243 2291 2306 2274 2197 2104 2017 1943 1896 1874 1884 1914 1945 1958 1950 1935 1909 1870 1822 1775 1722 1628 1521 1439 1389 1345 1308 1274 1251 1229 1187 1147 1193 1242 1241 1202
1 3 4 4 4 4 5 5 4 3 5 6 8 8 8 8 8 8 8 6 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 5 8 10 11 13 14 14 11 8 10 11 10 10 11 12 13 12 12 12 13 13 13 13 10 7 5 4 4 5 7 7 8 10 11 12 14 16 19 21 22 24 26 28 27 26 24 23 23 23 19 18 16 14 14 13 11 10 11 9 9 9 9 10 11 11 10 10 11 11 8 8 7 7 9 13 16 17 16 16 18 20 22 23 22 21 17 18 19 19 19 20 22 23 22 21 21 20 19 19 19 19 21 22 23 25 25 24 24 27 31 33 34 33 29 27 25 24 24 26 29 39 49 59 69 79 93 118 141 170 187 188 175 152 139 107 66 29 6 1 2 1 0 1 1 1 0 0 0 0 1 3 4 7 8 11 17 58 133 223 324 419 506 595 711 830 906 953 967 945 930 945 974 948 856 746 621 521 464 451 485 592 653 668 655 618 561 501 454 378 276 181 113 59 50 69 109 131 103 28 69 198 346 643 997 1339 1697 2039 2162 2186 2116 1973 1826 1685 1590 1522 1473 1461 1512 1607 1577 1502 1406 1320 1265 1232 1205 1178 1155 1136 1114 1085 1052 1019 991 965 928 877 833 796 731 699 725 807 941 1069 1349 1445 1586 1679 1792 2075 2148 2226 2257 2259 2272 2284 2305 2323 2318 2279 2204 2104 1982 1878 1803 1763 1756 1767 1776 1824 1848 1862 1864 1840 1791 1729 1669 1586 1467 1350 1284 1234 1192 1171 1148 1116 1098 1064 1055 1125 1175 1182 1179
2 4 4 4 4 4 5 5 4 5 6 7 7 7 8 8 9 8 8 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 4 4 6 8 10 11 13 13 13 11 10 11 10 11 11 13 13 14 13 14 14 14 14 14 15 12 8 6 4 4 6 7 8 10 12 14 16 19 22 24 26 29 32 35 35 33 30 28 27 27 28 24 22 20 19 17 15 13 12 12 10 9 8 8 9 10 11 9 8 9 11 9 7 6 6 8 12 15 16 14 15 17 19 20 21 22 21 20 20 20 20 20 19 20 21 21 21 21 21 21 22 21 21 23 25 26 25 25 26 28 30 31 34 36 36 33 30 27 25 25 27 29 34 41 50 58 64 65 80 100 123 144 154 151 130 114 83 46 15 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 27 75 148 254 354 453 568 687 790 865 929 941 937 928 906 881 928 900 853 761 649 555 494 466 522 578 607 608 586 530 475 423 342 260 224 214 154 108 110 157 204 188 6 8 82 208 383 598 849 1266 1613 1880 2065 2114 1991 1871 1727 1604 1505 1421 1372 1399 1480 1511 1479 1386 1288 1239 1211 1193 1176 1164 1150 1129 1105 1085 1053 1012 962 900 835 776 733 679 659 698 782 885 966 1135 1324 1510 1681 1683 1724 1935 2149 2271 2277 2335 2364 2378 2351 2293 2205 2092 1974 1853 1754 1685 1650 1647 1637 1635 1675 1715 1748 1765 1727 1657 1585 1509 1415 1300 1184 1125 1080 1053 1041 1029 1009 1012 1031 1061 1094 1118 1099 1135
1 2 3 4 5 5 5 5 4 4 5 6 7 8 9 9 9 8 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 6 5 4 6 8 10 11 11 11 11 10 10 10 10 11 12 13 14 15 16 17 16 16 16 16 16 13 9 7 5 5 6 7 8 11 14 18 21 26 30 29 33 37 40 41 41 41 40 35 31 30 30 29 27 24 22 21 18 14 13 10 9 7 7 7 8 9 11 9 7 8 9 9 7 6 6 8 12 14 14 14 15 16 17 18 18 19 19 21 22 24 25 25 23 20 20 21 21 21 22 23 23 22 23 25 27 27 26 24 24 25 26 27 29 33 35 34 32 29 28 29 30 32 34 38 43 48 52 49 51 57 65 73 81 84 75 62 41 17 2 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 2 4 8 20 36 114 236 391 529 642 733 812 868 902 925 910 814 700 765 852 889 860 790 685 566 514 495 499 511 514 529 492 451 406 351 295 254 239 199 163 155 193 290 327 110 19 29 89 183 325 518 814 1138 1504 1835 2043 2019 1938 1825 1685 1537 1414 1332 1322 1379 1452 1475 1419 1319 1242 1215 1201 1191 1184 1176 1158 1138 1111 1065 1003 934 868 803 737 688 646 624 635 672 829 966 1127 1292 1402 1531 1678 1781 1904 2102 2374 2404 2406 2405 2377 2325 2253 2144 2014 1867 1745 1664 1618 1593 1566 1527 1535 1569 1606 1631 1635 1574 1497 1419 1337 1234 1137 1051 988 956 949 945 946 959 980 1006 1042 1101 1147 1140 1149
2 1 2 4 5 5 5 5 4 4 5 6 7 8 10 10 9 8 7 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 7 7 6 6 7 9 10 11 11 11 10 9 9 10 11 11 13 15 16 16 18 18 17 16 16 17 16 14 10 8 6 6 6 7 7 10 15 20 26 33 34 34 39 45 48 48 47 51 48 41 35 31 30 30 27 24 22 21 20 14 13 10 9 7 7 7 8 9 10 9 8 7 8 9 8 7 7 9 11 13 13 13 14 15 16 16 16 16 18 20 22 24 27 30 27 24 23 22 21 21 22 23 22 23 24 25 26 26 25 24 25 24 22 22 26 30 34 35 33 31 32 34 37 38 37 37 36 36 39 40 39 35 29 25 25 27 27 21 11 3 0 0 2 2 2 3 6 10 5 1 0 0 0 0 0 0 0 0 0 1 1 2 3 26 85 184 308 453 553 640 710 785 828 795 771 758 786 821 838 828 776 709 626 580 545 504 456 407 414 410 390 372 353 301 242 230 189 132 82 72 156 76 14 1 5 18 45 142 304 529 807 1134 1466 1779 1925 1964 1943 1846 1669 1512 1374 1297 1319 1394 1447 1439 1367 1284 1251 1238 1227 1222 1220 1186 1154 1121 1074 1009 936 867 799 729 660 599 574 601 655 755 885 1049 1278 1472 1557 1644 1733 1793 1903 2251 2445 2479 2424 2334 2249 2161 2042 1909 1768 1659 1591 1545 1516 1497 1485 1493 1518 1528 1521 1490 1428 1349 1268 1200 1101 1022 951 900 880 886 899 928 963 997 1036 1080 1155 1222 1208 1162
3 1 2 3 3 4 5 5 5 5 6 6 7 9 10 10 8 8 7 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 7 7 6 7 8 9 11 11 12 11 10 10 9 8 8 10 11 13 14 15 17 19 19 18 18 19 19 16 14 11 10 9 9 9 8 8 10 16 22 29 35 38 42 46 51 54 53 50 51 48 40 34 30 29 27 25 22 20 20 20 16 13 11 10 9 8 8 9 9 10 10 10 9 9 10 9 9 9 10 12 13 13 13 14 14 15 15 15 16 18 19 23 26 29 30 30 29 28 28 26 24 22 22 22 23 24 24 23 22 22 23 25 26 26 25 28 31 34 35 35 35 36 39 44 43 40 38 38 42 46 47 44 34 20 9 4 4 4 2 1 0 0 1 1 1 2 5 11 26 16 6 1 0 0 0 0 0 0 0 0 0 0 1 1 3 9 23 55 156 246 319 396 500 596 532 599 651 688 719 744 756 736 704 650 603 572 542 482 399 363 340 315 300 328 328 289 231 141 51 7 0 18 3 1 1 1 1 2 51 146 281 510 850 1110 1432 1706 1893 1985 1970 1841 1672 1499 1355 1304 1342 1396 1419 1387 1328 1293 1282 1275 1267 1263 1215 1170 1133 1094 1046 973 902 821 736 657 585 569 596 647 721 809 900 1116 1341 1496 1567 1603 1598 1661 1925 2228 2401 2373 2240 2122 2013 1903 1785 1669 1571 1498 1452 1442 1449 1465 1483 1505 1487 1444 1381 1304 1228 1152 1092 1022 959 905 864 847 860 887 943 999 1051 1106 1153 1236 1281 1269 1237
2 2 2 3 3 4 4 5 5 5 6 7 7 8 9 9 9 8 7 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 6 8 9 9 9 9 9 10 11 11 12 12 11 9 8 8 8 10 10 12 14 17 19 20 20 20 20 22 22 18 14 13 12 12 12 13 13 11 12 15 21 29 36 41 45 49 53 56 56 53 50 43 37 33 29 25 23 24 24 22 20 17 14 13 12 11 10 8 9 10 11 12 12 12 11 11 10 9 10 11 12 13 14 14 14 14 14 14 15 16 17 18 20 25 29 29 30 31 32 33 33 31 29 25 23 23 23 25 25 23 23 22 22 21 21 23 27 31 33 35 36 35 36 39 42 47 49 47 44 44 49 59 59 53 39 20 5 1 0 0 0 0 0 0 0 0 0 2 5 9 23 22 14 6 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 13 42 73 106 156 240 280 318 355 410 481 556 609 641 629 601 571 551 563 517 442 374 330 298 254 267 258 246 226 183 107 37 6 0 0 0 0 1 1 1 13 57 182 425 672 902 1188 1473 1717 1902 1990 1955 1848 1675 1498 1375 1336 1353 1394 1394 1357 1314 1297 1306 1302 1275 1222 1170 1133 1115 1076 1006 922 835 752 670 602 575 581 620 687 776 837 985 1149 1267 1366 1503 1533 1588 1760 2006 2201 2199 2085 1963 1845 1735 1634 1537 1451 1394 1371 1381 1424 1476 1495 1492 1452 1378 1283 1188 1122 1064 1011 961 927 900 875 869 892 940 1002 1066 1134 1216 1299 1339 1340 1322 1316
2 3 3 3 3 3 4 5 5 6 7 8 8 8 9 9 8 7 7 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 4 5 6 8 10 11 12 11 10 10 11 12 12 12 12 11 10 9 8 9 10 10 12 15 17 18 20 19 19 21 22 21 18 14 14 15 15 15 15 15 13 15 18 23 31 40 45 46 48 50 51 51 47 46 42 36 31 28 26 24 25 22 20 19 16 14 14 12 12 11 10 9 10 12 12 13 12 11 12 11 11 11 12 13 15 16 17 16 16 15 16 18 18 18 19 22 28 32 31 30 31 33 34 33 32 31 27 25 24 24 25 25 22 21 23 24 24 22 24 28 30 32 34 34 33 34 37 42 46 50 52 51 48 46 54 58 53 39 19 3 0 0 0 0 0 0 0 0 0 0 1 3 6 14 19 21 16 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 35 61 76 97 131 205 328 407 447 471 492 505 501 526 514 468 402 347 319 260 234 217 204 211 226 183 97 34 6 0 0 1 1 1 1 2 25 102 256 450 726 1008 1265 1503 1723 1875 1935 1899 1791 1644 1495 1404 1406 1428 1425 1388 1333 1292 1289 1268 1236 1199 1161 1138 1129 1100 1040 953 857 765 676 611 575 577 625 684 791 880 951 1009 1077 1178 1358 1489 1596 1745 1927 2029 1991 1901 1792 1677 1569 1480 1410 1354 1333 1349 1398 1469 1519 1507 1468 1401 1311 1215 1119 1050 1009 977 949 947 938 936 957 997 1051 1118 1185 1249 1314 1361 1373 1367 1363 1357
4 4 3 2 3 4 4 5 4 5 6 8 9 10 10 9 8 7 7 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 5 7 8 10 11 13 14 13 12 12 12 11 11 11 11 10 9 8 8 8 9 9 11 13 13 14 16 17 18 20 21 19 18 17 17 16 16 17 17 15 16 18 22 27 34 42 47 47 47 47 47 47 44 42 40 37 34 32 30 26 24 24 23 21 18 16 14 11 11 11 10 10 10 11 12 12 13 12 12 13 14 14 14 15 17 18 18 18 18 18 19 20 20 20 22 25 27 29 29 28 28 29 32 33 33 32 29 27 25 24 25 24 23 23 24 25 25 24 26 28 28 29 30 30 31 33 35 39 44 48 52 56 52 49 49 51 50 39 18 4 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 15 16 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 11 28 64 146 213 253 289 327 358 359 376 403 398 360 321 303 264 223 191 173 181 225 220 151 84 35 5 0 0 0 1 1 1 10 49 156 359 624 874 1087 1292 1495 1696 1827 1876 1850 1758 1636 1531 1493 1482 1470 1436 1360 1296 1260 1231 1202 1173 1162 1162 1161 1144 1091 998 898 786 695 631 600 620 698 779 878 942 958 953 985 1075 1221 1365 1489 1625 1782 1841 1799 1719 1624 1521 1423 1369 1341 1334 1353 1395 1453 1511 1522 1483 1411 1323 1227 1163 1100 1045 1013 1012 1010 1012 1019 1036 1070 1116 1164 1217 1271 1321 1360 1378 1380 1391 1396 1378
6 4 4 3 3 3 4 4 5 6 7 8 9 10 10 10 8 7 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 6 7 9 11 12 13 14 14 14 14 13 12 11 11 9 8 7 7 7 8 8 8 9 11 12 12 12 15 18 20 21 20 19 18 17 16 16 17 18 16 17 22 27 33 39 44 46 47 46 46 46 45 43 42 39 35 32 31 31 29 31 30 28 24 21 19 17 14 12 12 12 12 12 13 13 13 13 14 14 15 16 16 16 16 18 18 19 19 20 21 22 23 24 24 25 26 26 27 27 26 26 26 28 30 32 33 31 28 25 24 25 26 25 24 23 24 25 26 28 29 27 27 26 27 31 33 35 39 44 49 57 65 60 55 52 52 50 41 19 6 1 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 14 11 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 35 65 94 124 157 185 198 208 233 252 249 247 249 234 198 156 131 133 168 189 153 87 26 2 0 0 0 0 1 1 1 18 84 292 557 785 963 1131 1315 1520 1706 1833 1885 1851 1754 1642 1556 1520 1512 1486 1404 1322 1255 1206 1176 1171 1199 1209 1208 1192 1146 1035 929 827 752 703 671 693 795 879 934 954 950 937 941 990 1087 1192 1297 1433 1592 1651 1627 1565 1495 1432 1377 1353 1355 1378 1416 1458 1485 1484 1461 1407 1331 1242 1152 1125 1115 1103 1086 1096 1097 1095 1097 1110 1143 1191 1219 1250 1289 1328 1361 1390 1400 1414 1413 1392
5 4 3 3 3 3 4 4 4 6 7 8 9 9 9 10 8 7 7 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 6 6 8 10 12 14 15 15 15 15 13 12 11 11 10 8 6 6 6 6 6 7 8 8 8 10 12 12 14 17 19 19 20 20 19 17 16 15 16 16 17 18 24 31 37 40 43 50 51 51 51 50 47 45 42 41 37 35 34 33 34 34 33 30 26 23 23 20 17 15 15 15 15 16 16 15 15 15 16 15 15 16 16 16 17 18 19 20 20 21 22 23 25 24 25 26 26 27 28 27 27 26 24 25 26 28 31 31 29 26 24 25 26 27 28 28 29 28 29 31 32 32 31 29 29 34 35 38 43 47 52 61 66 64 59 56 54 52 45 25 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 4 10 16 13 11 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 2 7 16 29 40 60 79 92 108 129 142 155 169 174 158 125 105 101 103 113 102 70 29 2 0 0 0 0 0 1 1 7 86 268 515 735 889 1031 1194 1390 1599 1778 1861 1843 1778 1704 1652 1643 1604 1553 1464 1368 1283 1220 1202 1236 1264 1275 1271 1254 1196 1094 1001 918 859 842 834 888 947 983 989 982 971 949 921 922 952 992 1049 1186 1392 1479 1498 1506 1458 1441 1437 1428 1423 1425 1441 1445 1435 1401 1355 1310 1275 1215 1168 1134 1123 1124 1115 1115 1106 1086 1079 1083 1089 1142 1157 1179 1231 1297 1367 1393 1398 1403 1403 1393
6 4 4 3 3 3 3 4 5 6 7 7 8 8 9 9 8 7 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 9 9 8 9 11 12 14 15 17 17 15 13 11 10 10 9 7 5 4 4 5 5 6 6 7 7 9 11 13 13 16 18 19 20 20 18 17 15 14 14 14 17 20 25 33 38 39 46 53 57 60 61 59 54 49 48 43 39 37 36 36 36 35 34 31 28 27 27 24 22 20 20 20 20 20 19 18 17 17 17 16 16 17 17 18 18 19 20 21 22 22 23 24 25 26 26 27 27 27 27 27 27 26 25 24 24 26 29 31 30 28 27 28 31 31 29 28 29 31 33 35 38 38 36 33 34 37 39 40 44 48 50 54 57 58 58 57 56 55 50 36 23 12 4 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 13 10 7 4 2 1 0 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 3 5 13 27 45 62 73 80 92 108 116 109 96 86 72 54 48 47 34 14 4 2 1 1 1 1 4 6 26 111 276 482 676 832 978 1134 1316 1519 1714 1766 1753 1745 1753 1740 1792 1708 1617 1513 1405 1317 1249 1241 1272 1311 1340 1348 1339 1273 1196 1119 1045 990 980 988 1025 1064 1082 1068 1047 1015 955 880 820 788 777 799 884 1023 1199 1361 1526 1504 1492 1487 1468 1439 1404 1384 1359 1320 1261 1219 1217 1198 1157 1115 1064 1029 1004 985 958 927 899 882 878 869 890 930 991 1075 1176 1250 1297 1325 1344 1340 1312
7 5 4 4 4 4 4 5 5 6 7 7 8 8 8 7 8 8 7 7 6 4 3 2 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 11 11 10 11 12 13 14 14 15 14 12 11 10 9 9 8 5 4 3 3 3 4 5 4 5 6 8 10 12 13 15 17 18 18 20 17 16 14 13 13 14 17 21 26 32 36 39 49 56 58 60 61 59 54 55 53 48 43 39 37 37 39 39 36 33 31 31 31 30 27 25 23 22 21 22 22 21 20 19 18 17 19 21 22 23 23 23 22 22 21 21 23 24 25 26 27 27 27 27 27 26 25 25 25 25 24 25 28 30 30 31 33 35 36 35 32 30 30 31 34 36 39 39 37 35 37 38 39 41 43 44 47 49 52 54 57 58 58 56 53 45 35 22 10 3 1 0 0 0 0 0 0 0 0 0 0 1 2 6 8 6 4 2 0 0 0 8 19 20 5 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 8 21 34 46 54 63 71 73 71 68 59 35 20 16 17 16 10 6 5 5 4 4 4 10 17 54 151 327 515 680 833 980 1135 1315 1499 1630 1645 1623 1632 1693 1663 1687 1697 1656 1560 1441 1361 1290 1268 1292 1338 1382 1409 1411 1382 1306 1213 1130 1085 1083 1089 1113 1136 1133 1102 1050 980 884 771 677 614 598 627 717 858 1027 1187 1431 1518 1519 1479 1429 1371 1313 1253 1198 1147 1098 1081 1065 1024 974 920 847 810 771 728 681 634 600 583 575 580 611 673 753 859 967 1058 1128 1153 1184 1157 1116
10 9 5 5 5 5 5 5 5 6 7 8 8 8 8 7 8 8 7 7 6 5 3 2 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 9 11 11 11 12 13 13 14 13 13 12 10 9 9 9 7 7 4 3 3 3 3 4 4 4 5 6 8 10 14 15 15 16 16 18 20 17 16 14 14 14 14 14 17 23 29 35 42 50 57 61 60 56 52 49 52 48 46 44 42 41 41 43 43 42 40 38 37 35 33 31 29 28 25 23 24 25 25 25 24 23 22 23 24 25 26 26 25 25 24 23 22 22 23 25 25 26 27 27 27 26 26 26 25 25 25 25 23 24 25 26 28 31 34 35 33 31 30 30 31 32 35 37 37 36 36 36 36 38 39 40 42 43 41 41 45 51 57 59 59 58 54 46 36 24 14 7 2 1 0 0 0 0 0 0 0 0 0 0 2 4 7 7 4 0 0 0 7 23 34 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 2 6 10 19 31 43 53 59 64 47 30 15 7 4 5 10 10 11 12 12 12 10 17 29 48 103 214 418 608 778 928 1058 1185 1345 1457 1498 1485 1466 1489 1460 1519 1644 1735 1725 1605 1486 1390 1319 1292 1313 1360 1408 1425 1419 1384 1316 1236 1172 1157 1183 1197 1182 1167 1130 1065 976 866 742 632 550 493 483 531 635 782 940 1085 1297 1454 1499 1429 1350 1253 1147 1057 1000 981 943 900 848 786 719 676 627 573 518 473 432 385 372 361 356 361 382 441 517 617 707 780 831 845 874 865 843
7 9 8 6 6 7 5 5 6 6 7 8 8 8 8 8 8 8 7 7 6 5 3 2 1 0 0 0 0 0 0 0 0 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 9 11 11 12 13 13 13 13 12 12 11 10 10 9 8 6 5 3 2 2 2 2 3 4 5 6 7 9 11 13 15 16 16 17 17 17 16 15 14 14 14 14 15 17 21 27 34 42 45 45 49 51 51 50 52 48 46 46 45 46 47 48 48 47 45 44 42 41 37 33 32 32 30 28 26 26 28 29 29 28 28 27 27 27 26 26 27 28 27 26 25 24 23 24 27 26 25 25 26 26 26 25 25 25 24 25 25 24 23 23 23 25 27 26 28 30 31 32 33 35 31 31 33 35 35 35 35 35 36 37 37 39 40 39 37 40 47 56 61 62 61 58 53 45 37 27 17 9 5 2 1 0 0 0 0 0 0 0 1 5 12 17 14 6 2 0 0 2 7 10 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 2 1 1 1 0 1 1 7 20 33 40 37 35 24 12 3 1 3 7 11 14 17 20 23 29 35 60 105 166 251 369 530 682 812 928 1070 1189 1271 1319 1331 1311 1287 1319 1313 1411 1582 1708 1682 1589 1519 1439 1342 1278 1291 1319 1348 1358 1347 1313 1267 1221 1202 1213 1242 1259 1223 1153 1078 979 862 739 618 522 457 429 446 511 627 783 932 1084 1244 1386 1463 1328 1173 1025 910 840 790 754 723 690 646 584 516 472 426 381 348 323 295 275 261 250 247 250 263 306 364 428 487 531 574 562 543 514 464
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