Vorticity
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nan 6 6 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 9 8 8 7 6 7 7 7 6 6 7 7 7 8 7 7 8 8 9 9 8 7 7 7 7 8 9 10 10 10 9 8 7 8 8 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 11 12 11 9 8 8 9 10 10 9 7 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 nan
nan 6 6 7 8 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 11 12 11 9 8 8 8 9 10 10 9 7 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 nan
nan 7 7 7 8 8 8 7 7 7 7 6 6 6 7 7 8 8 7 8 9 9 8 7 7 7 8 8 7 7 7 7 7 7 8 7 7 7 7 8 8 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 10 9 8 7 7 7 7 7 8 8 8 8 10 11 11 10 8 7 8 8 9 10 10 8 7 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 nan
nan 8 7 7 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 7 7 8 8 8 7 7 6 7 8 8 7 7 7 7 8 8 9 9 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 10 9 8 7 7 7 6 7 7 7 7 8 9 11 12 11 10 8 7 8 9 10 10 9 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 nan
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nan 9 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 6 7 8 9 8 8 8 7 7 7 7 8 8 8 9 9 9 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 6 6 7 8 9 8 7 7 7 7 7 7 7 7 8 8 8 9 11 13 14 13 11 9 9 9 10 11 11 10 9 8 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 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 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 nan
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nan 10 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 8 9 9 9 9 10 10 10 10 10 11 11 10 10 9 8 6 7 8 9 10 10 9 7 6 6 7 8 9 9 8 8 9 10 9 9 8 7 7 7 8 8 9 8 8 8 7 7 7 6 6 7 8 8 8 8 9 11 13 14 14 13 12 12 12 12 12 12 11 9 7 6 6 5 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 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 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 nan
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nan 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 11 12 12 12 12 11 10 9 9 9 10 11 12 13 13 12 11 10 9 8 7 7 7 8 8 9 9 9 10 10 10 9 8 8 8 9 11 12 12 11 10 10 10 10 10 10 10 11 11 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 9 9 10 10 9 10 9 8 6 7 9 11 12 11 10 10 10 10 11 11 12 12 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 11 11 11 11 10 10 10 9 9 9 8 8 7 7 8 8 9 10 10 10 9 9 9 9 8 9 10 12 13 13 13 11 10 9 8 8 9 10 12 13 13 13 12 11 10 9 8 7 7 6 6 6 7 7 8 9 8 7 7 6 7 8 9 10 10 10 9 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 8 5 4 5 6 7 7 7 8 7 5 3 6 10 12 12 10 9 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 10 10 10 10 10 10 10 9 8 8 8 8 7 6 7 8 9 10 10 9 8 8 8 8 8 7 7 8 10 12 12 12 10 9 9 9 9 9 10 10 11 11 11 11 11 10 9 8 8 8 7 7 7 7 7 8 7 7 6 7 8 9 9 8 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 9 10 10 10 11 10 8 5 4 4 4 4 4 6 6 6 4 4 7 11 12 10 8 9 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 10 10 9 9 10 10 10 10 10 10 10 9 9 9 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 7 6 6 6 8 9 9 8 7 6 7 7 7 6 5 6 8 10 10 9 9 8 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 8 7 6 8 10 11 11 8 6 6 7 9 9 9 8 8 8 9 9 9 10 10 9 9 8 9 8 8 9 9 10 11 11 10 9 8 6 5 4 4 6 8 8 7 8 11 12 12 9 9 10 10 11 10 10 9 9 9 8 8 9 10 10 10 8 8 8 8 8 9 9 10 10 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 6 6 6 6 7 6 6 5 5 5 6 6 7 7 8 8 8 9 9 8 7 6 6 6 7 8 8 7 6 6 7 7 7 7 7 8 10 9 8 7 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 10 11 11 11 10 10 10 10 10 9 9 10 11 11 11 9 7 7 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 9 7 7 8 9 11 11 11 13 14 14 13 12 12 12 12 11 10 10 9 8 7 7 9 10 12 11 9 8 7 8 8 9 10 10 10 10 nan
nan 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 5 4 4 4 5 6 7 7 6 5 4 4 5 7 8 10 11 12 13 14 14 14 12 11 10 9 8 8 9 9 8 7 8 8 9 10 10 10 10 9 9 8 7 7 7 7 8 8 9 9 8 8 8 8 9 9 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 9 9 9 8 8 8 8 7 8 9 10 11 12 11 10 10 9 9 9 9 9 9 9 9 9 10 11 12 12 13 14 15 14 13 13 13 13 13 12 11 10 9 8 8 8 11 13 14 11 7 6 7 9 10 10 10 10 10 9 nan
nan 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 5 4 4 3 3 3 5 6 7 8 9 9 8 6 5 6 8 11 15 17 19 19 20 20 19 17 16 15 14 13 12 11 11 11 10 8 8 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 8 8 8 8 9 9 10 10 9 9 9 8 8 8 9 10 11 13 13 12 11 10 8 8 8 8 8 8 8 9 10 11 12 11 11 11 11 11 11 12 12 12 13 12 11 10 10 10 10 10 12 13 12 9 6 7 9 11 11 11 10 9 9 9 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 11 10 10 10 9 9 8 8 7 7 7 7 7 6 4 3 4 4 4 4 4 6 7 8 8 9 10 11 10 9 8 7 9 13 17 20 20 20 19 18 17 16 15 15 14 14 14 13 13 14 13 12 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 9 9 8 8 7 8 8 9 10 10 10 10 9 9 9 9 9 10 10 11 13 14 14 12 10 8 7 8 8 7 7 8 9 10 11 11 10 10 9 9 9 10 10 11 11 11 11 10 10 11 13 13 11 11 12 12 11 10 11 12 12 11 9 8 8 8 9 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 14 15 16 15 13 12 12 11 10 9 7 6 6 6 6 6 6 4 4 4 5 6 6 6 7 8 9 8 7 8 9 10 10 10 10 9 10 11 13 14 15 14 14 13 12 12 11 11 10 10 10 11 13 14 15 15 15 14 13 12 10 8 8 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 8 8 9 9 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 10 10 10 10 10 11 12 13 14 13 11 9 9 8 7 7 7 7 9 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 12 12 12 11 12 13 14 13 11 9 8 8 7 6 5 7 9 10 nan
nan 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 10 10 10 10 10 10 11 13 16 18 19 18 17 15 15 14 12 10 8 6 5 5 5 6 5 4 4 5 6 7 7 6 6 7 8 8 8 8 8 8 9 10 11 11 9 6 5 4 5 6 7 8 9 10 10 10 9 8 8 7 8 10 11 13 14 16 16 16 14 11 10 11 12 12 11 11 10 10 10 9 9 10 10 11 11 10 10 10 10 10 9 9 10 10 10 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 11 12 13 13 13 12 11 11 9 7 6 6 7 9 10 11 11 11 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 11 7 3 -0 0 2 3 4 5 8 10 11 nan
nan 10 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 11 14 17 19 19 17 16 16 15 14 13 11 9 8 8 7 8 8 7 6 6 7 7 7 7 6 7 8 8 8 8 8 9 9 9 10 12 11 8 3 -0 -2 -2 -1 1 3 4 6 8 9 9 9 8 8 8 8 8 9 10 12 13 13 13 12 13 15 16 15 13 10 10 9 9 9 10 11 11 12 11 10 10 10 10 10 10 10 10 10 9 7 6 6 6 6 6 6 7 8 10 11 11 10 9 8 9 9 9 8 8 8 8 9 9 9 9 10 10 11 12 12 12 12 12 11 8 6 5 5 7 10 10 11 11 11 11 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 8 5 -1 -5 -5 -2 2 4 6 8 10 11 12 nan
nan 11 11 11 11 10 9 9 8 7 7 8 8 7 6 5 5 5 6 7 7 8 10 14 17 18 16 15 14 14 14 14 13 12 11 10 10 11 11 11 10 9 8 7 7 7 7 8 9 9 9 8 7 7 7 8 9 11 12 12 9 5 1 -1 -2 -2 -2 -1 1 2 4 6 8 9 9 9 8 8 8 8 8 8 9 9 10 11 13 15 17 17 14 11 10 9 8 8 9 10 11 12 11 10 10 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 8 10 11 11 11 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 11 11 11 10 10 10 9 6 5 4 5 7 9 10 11 11 12 11 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 8 5 -1 -6 -6 -3 2 6 8 9 10 11 12 12 nan
nan 11 11 10 9 8 7 7 6 7 8 9 9 8 7 5 5 5 6 6 7 8 11 16 17 15 13 12 12 12 12 12 11 11 10 10 10 12 12 12 11 10 9 7 7 7 8 9 10 10 9 8 8 7 7 7 8 10 11 11 10 9 7 6 5 3 3 3 4 4 3 3 5 7 9 9 9 9 8 8 8 8 8 8 8 8 10 12 14 15 14 13 12 9 7 7 8 8 9 9 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 9 9 8 8 9 9 9 8 8 10 11 10 8 8 8 7 6 5 4 4 7 9 10 12 13 12 12 11 9 8 9 10 10 10 10 10 10 10 9 9 9 8 5 -1 -6 -7 -5 1 6 9 10 11 11 11 11 12 nan
nan 10 9 8 7 6 6 6 7 8 9 10 11 10 9 9 8 9 8 8 9 11 14 17 15 13 11 10 10 10 9 9 9 8 8 10 11 11 11 10 10 10 10 9 9 9 10 10 11 10 10 10 10 9 8 8 8 9 10 10 10 10 10 10 9 8 8 9 10 9 7 5 4 5 7 9 9 10 9 8 8 8 8 8 8 8 8 9 10 11 12 13 13 11 9 9 8 7 7 9 10 11 11 10 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 11 10 10 10 10 9 8 7 7 9 10 9 8 8 8 7 7 5 4 5 7 9 11 13 13 12 12 10 8 8 9 10 11 10 10 10 10 10 10 9 8 4 -2 -7 -8 -6 -1 5 8 10 10 11 11 11 11 11 nan
nan 9 8 6 6 6 7 8 9 9 10 10 10 10 10 11 11 11 11 11 12 14 16 16 13 11 9 9 9 8 8 7 7 7 8 9 10 10 9 9 9 10 11 11 12 12 12 12 13 13 12 12 11 11 10 9 9 9 9 9 9 9 10 10 9 8 8 9 11 11 11 10 8 6 6 7 8 10 10 9 9 9 9 9 8 8 8 8 8 9 10 11 11 11 12 12 11 10 10 12 12 12 11 10 9 9 8 8 9 10 11 11 10 9 9 9 10 10 9 8 8 8 9 9 10 11 12 12 12 12 12 11 11 10 10 8 6 5 5 7 9 10 10 10 9 8 8 5 4 6 7 9 11 12 12 12 12 11 9 9 9 10 11 11 11 11 10 10 10 10 8 3 -3 -5 -4 -1 4 8 9 10 10 10 11 11 11 11 nan
nan 9 8 8 8 9 10 11 11 11 11 10 10 10 10 11 11 11 12 13 15 16 16 14 11 9 7 7 7 7 7 7 6 6 6 7 8 8 8 9 9 9 10 11 12 12 12 13 13 13 13 13 12 11 10 10 10 9 9 9 9 9 9 9 8 6 4 4 6 9 10 11 10 8 7 7 8 9 10 10 9 9 10 10 9 9 8 8 8 8 9 9 10 10 11 11 11 12 13 14 13 10 8 7 8 8 9 9 9 10 10 9 9 9 10 10 10 10 9 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 8 7 4 3 4 6 9 10 10 10 9 9 7 6 6 6 8 9 10 11 11 12 14 13 12 11 10 10 11 11 11 11 11 11 11 11 9 5 3 2 2 3 6 8 9 10 10 10 10 10 10 10 nan
nan 10 10 10 11 11 12 13 12 12 12 12 12 12 11 11 10 10 11 12 13 14 14 11 9 7 6 6 6 6 6 6 6 5 5 5 5 6 7 8 9 9 9 10 10 10 11 11 11 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 8 5 2 1 3 6 8 10 9 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 9 9 8 8 9 9 10 10 11 13 13 12 8 5 5 7 8 8 9 9 9 9 9 10 11 11 11 12 11 10 9 9 10 10 10 9 8 8 8 8 8 9 9 9 8 7 5 4 3 4 7 9 9 9 8 8 8 7 7 7 7 8 9 10 10 11 14 14 14 13 11 9 10 10 10 10 11 11 11 11 11 9 9 8 7 3 3 4 6 8 10 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 9 9 10 11 12 12 10 8 7 6 6 6 6 7 7 6 6 5 5 5 5 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 8 6 4 4 5 7 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 10 8 7 7 7 8 9 9 9 9 9 9 10 10 10 11 12 11 11 11 11 11 10 8 6 4 3 4 5 6 7 7 7 6 5 4 3 3 5 7 8 9 9 9 10 10 9 10 9 9 9 9 10 10 12 13 13 13 12 10 9 9 9 9 10 11 11 11 10 9 8 9 8 3 -1 -1 2 6 9 10 10 10 10 10 10 10 nan
nan 10 10 10 9 9 9 8 8 8 8 9 9 8 8 8 9 9 9 10 11 13 13 12 9 7 7 6 7 7 7 7 7 7 6 6 4 4 6 7 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 9 10 10 11 12 12 10 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 7 7 8 8 9 9 9 9 9 8 8 9 10 10 9 9 9 9 9 8 9 10 10 11 11 11 11 9 6 3 2 2 2 4 5 6 6 6 5 4 3 3 5 7 8 9 10 11 12 13 14 14 13 11 10 9 9 9 10 11 11 11 12 11 9 9 8 8 10 10 10 10 9 8 8 8 8 4 -2 -4 -2 2 7 9 10 10 10 10 10 10 10 nan
nan 8 8 8 8 7 6 6 6 6 6 5 5 5 6 7 8 9 9 10 11 13 14 13 11 9 8 7 7 7 7 7 7 7 7 6 3 2 4 6 8 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 7 8 8 9 10 10 11 12 13 16 18 16 13 10 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 9 10 11 11 10 9 7 5 4 4 4 5 5 6 7 7 7 6 5 6 6 7 8 9 10 12 13 14 15 16 16 15 13 12 10 9 9 10 10 10 10 11 10 9 8 7 8 9 10 10 9 8 7 7 8 7 3 -0 -1 1 6 9 9 10 10 10 10 10 9 9 nan
nan 7 7 7 6 6 5 5 4 4 4 4 4 5 5 7 8 9 9 9 10 12 14 13 11 10 9 8 8 7 7 7 7 7 7 5 1 0 2 5 9 10 9 9 8 8 8 8 9 9 10 10 11 11 10 10 10 9 9 8 7 7 7 8 9 10 10 11 11 13 17 20 18 14 11 9 9 9 9 8 8 8 8 8 9 9 9 8 8 9 10 10 10 9 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 10 9 8 8 9 11 12 12 12 10 9 7 6 6 8 8 9 9 9 10 10 10 9 8 8 9 10 10 10 11 12 13 14 14 14 15 14 14 13 11 10 10 10 9 10 11 11 10 9 7 7 8 9 9 9 8 7 7 8 9 8 6 4 3 5 8 9 9 9 10 10 10 9 9 8 nan
nan 8 8 7 6 6 5 5 5 5 5 6 6 7 7 8 8 8 7 7 9 12 13 13 12 11 10 10 9 8 8 7 8 8 7 4 0 -1 1 5 9 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 7 6 6 7 8 9 9 10 10 10 11 14 16 15 14 11 10 10 9 9 8 7 7 7 8 8 8 8 9 9 10 11 11 11 10 8 8 8 8 8 8 9 9 10 11 11 11 11 11 12 12 11 10 9 8 8 9 11 13 13 11 10 10 10 10 10 11 11 12 12 12 12 12 11 10 10 10 10 10 10 9 10 11 12 13 14 14 13 13 13 12 12 11 10 10 10 11 12 11 10 8 7 7 8 9 9 8 8 8 8 9 9 9 9 8 6 6 7 8 9 10 10 9 9 9 8 8 nan
nan 8 8 7 6 5 6 6 6 7 8 9 10 10 10 9 8 7 7 7 9 12 13 13 12 11 11 11 10 10 9 9 9 9 8 4 0 -0 2 6 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 7 7 6 6 6 7 8 9 9 9 8 9 11 12 12 12 11 10 10 10 9 8 8 8 8 8 8 9 9 10 10 11 12 12 12 10 8 7 6 5 5 6 7 7 8 8 8 8 9 11 11 10 8 6 5 4 4 6 8 9 8 8 8 9 11 12 12 12 11 12 13 13 13 12 11 10 10 9 9 8 7 8 9 11 12 14 14 14 13 12 11 11 11 10 11 11 11 11 11 10 9 8 7 8 8 8 8 8 8 8 9 10 10 10 11 10 8 7 7 7 9 9 9 9 8 8 8 7 nan
nan 8 7 6 5 4 5 6 7 9 10 10 11 10 10 10 10 9 8 8 9 11 11 12 11 11 12 12 12 12 11 11 11 10 8 4 1 2 5 7 8 7 7 8 9 9 9 8 7 7 7 8 8 8 8 8 8 7 6 5 5 5 6 7 8 9 9 9 8 9 9 11 12 12 11 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 12 13 12 10 8 6 5 3 3 3 4 5 5 4 4 5 7 8 7 5 4 3 2 2 3 5 7 6 4 4 6 8 10 11 11 11 10 10 11 11 11 10 10 9 8 7 6 6 7 8 10 12 13 13 13 13 12 11 10 10 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 11 11 10 9 9 7 7 8 8 8 8 8 8 7 7 nan
nan 7 6 6 5 5 5 7 8 10 10 9 9 9 9 10 11 11 11 10 11 11 11 11 11 11 12 12 13 13 13 13 13 12 9 5 5 6 8 9 8 7 7 7 8 9 8 7 7 7 7 8 8 8 8 7 7 6 6 5 5 5 5 6 8 9 9 9 8 8 8 10 12 12 10 10 10 10 9 9 9 10 9 9 10 10 10 11 11 11 12 12 12 10 9 7 5 4 4 4 4 5 5 5 5 6 7 7 5 4 4 4 5 6 7 9 8 7 7 7 8 9 10 10 9 9 10 11 11 11 9 9 9 9 8 7 8 9 9 11 12 13 13 12 12 12 12 11 10 9 9 9 9 8 8 8 9 9 9 9 8 7 8 8 9 9 9 10 10 11 11 11 11 11 11 10 8 7 7 7 8 8 8 8 7 7 nan
nan 6 6 5 5 6 7 8 9 9 9 9 8 8 7 8 9 10 11 12 13 13 12 11 10 11 11 12 12 13 13 14 14 14 11 8 8 9 10 9 8 7 7 8 8 9 8 7 7 7 8 9 9 9 9 8 8 7 7 7 6 6 6 6 7 7 8 7 7 6 7 9 11 11 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 11 11 12 12 11 10 8 7 6 6 6 6 7 8 8 8 8 8 7 7 6 7 9 10 11 11 12 12 12 12 12 12 12 12 11 12 13 15 15 13 11 10 10 10 12 12 14 14 14 14 14 13 13 12 11 11 11 11 11 10 10 10 10 9 8 8 8 9 9 9 9 8 7 8 9 9 10 10 11 12 12 12 12 12 12 12 10 8 8 7 7 8 9 9 8 8 8 nan
nan 6 5 5 5 6 7 8 9 9 10 10 9 9 7 7 7 8 10 12 13 12 11 10 10 10 11 12 12 13 13 14 14 14 12 10 10 10 10 9 8 9 9 9 9 9 9 8 8 9 9 10 11 10 10 10 9 9 9 9 9 8 7 6 5 5 6 6 5 5 5 8 9 10 10 11 11 11 10 9 8 8 7 7 7 7 8 9 10 11 12 12 12 10 9 9 8 8 8 8 9 10 10 10 9 9 8 8 8 9 10 11 12 13 13 14 14 15 14 14 15 15 15 16 17 19 20 18 14 12 12 12 12 14 15 17 17 17 16 14 13 11 10 10 10 10 10 11 11 12 11 11 9 8 8 8 8 9 9 8 7 7 9 9 10 11 11 12 13 13 13 13 12 12 12 10 10 9 8 8 10 12 12 12 10 9 nan
nan 6 6 6 6 8 8 9 9 10 10 11 10 9 8 7 6 6 8 10 10 9 8 8 9 10 11 11 12 12 12 12 13 12 11 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 7 5 5 6 5 4 4 5 7 8 9 10 11 11 10 9 8 6 6 5 5 5 6 8 9 10 11 12 12 11 9 8 8 8 9 9 9 10 11 11 11 11 10 10 10 9 10 11 13 13 14 14 15 15 15 15 15 15 16 17 19 21 22 22 19 15 14 13 13 13 13 13 14 14 15 14 13 11 10 10 10 9 10 11 12 13 13 13 12 10 8 8 8 9 9 8 7 7 7 9 10 10 11 11 12 13 13 13 13 13 12 11 11 11 10 9 12 15 18 18 16 14 13 nan
nan 8 8 8 9 10 10 10 10 10 10 10 10 9 9 7 6 6 7 7 7 6 7 8 10 10 10 10 11 11 11 11 11 11 10 9 9 10 10 10 10 10 9 9 9 10 11 11 11 11 11 12 11 11 10 10 10 10 10 9 9 9 8 7 6 6 6 5 4 4 5 7 8 9 9 10 10 9 8 7 6 6 5 5 5 6 8 9 10 10 10 10 9 8 8 7 7 7 7 9 10 11 11 11 13 13 13 12 12 12 13 14 15 16 16 16 16 15 13 13 14 16 17 19 21 22 22 20 18 16 15 14 13 12 11 11 12 12 12 11 10 10 10 10 10 10 12 13 14 14 14 12 9 8 7 8 8 8 7 6 6 8 9 9 10 10 11 12 12 12 13 13 13 12 11 11 10 9 10 14 18 20 19 18 18 19 nan
nan 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 7 6 6 6 6 6 7 9 10 10 10 10 10 10 11 11 11 10 9 8 7 8 10 10 10 10 9 8 9 10 11 12 12 11 11 11 11 11 10 9 9 10 10 10 10 9 8 7 6 6 6 5 4 4 5 7 7 8 9 9 10 9 9 9 9 8 7 6 6 7 8 9 10 10 9 9 9 8 8 6 5 4 5 7 8 8 8 10 12 13 13 12 12 13 14 15 16 17 16 16 16 14 11 10 12 13 14 16 18 21 21 21 20 18 16 14 12 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 13 14 13 11 9 8 7 7 7 7 6 6 7 9 9 9 9 9 10 11 11 11 12 13 13 12 11 10 8 8 10 12 14 15 15 16 18 20 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
30 29 28 24 17 11 8 6 2 1 1 1 1 1 1 1 1 2 2 1 1 2 1 0 0 0 0 0 0 0 1 3 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17 45 66 62 42 22 6 0 0 0 0 2 4 5 6 7 8 13 15 16 17 17 18 18 16 16 17 17 15 13 12 12 13 14 17 22 26 30 35 39 44 46 42 34 27 23 21 20 19 18 17 18 17 16 16 16 16 14 13 10 10 10 12 15 18 18 16 14 13 13 14 16 18 19 19 20 21 22 22 23 23 24 20 19 18 16 14 12 11 14 16 16 15 14 13 13 12 13 16 15 17
23 23 24 22 16 11 7 4 1 0 0 0 0 0 1 1 0 1 2 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 27 51 64 62 41 17 3 1 1 2 2 4 6 6 8 8 13 15 16 16 17 16 17 15 18 19 19 17 15 15 16 16 17 18 20 22 26 32 38 43 45 42 37 31 26 23 21 20 18 18 18 16 15 15 14 11 9 10 10 11 13 15 18 20 20 19 16 14 13 13 12 13 15 15 16 18 19 19 20 21 21 19 18 17 16 13 11 9 11 15 16 16 15 14 13 11 12 16 17 18
18 19 21 20 16 9 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 29 48 62 55 33 14 4 4 5 6 9 10 9 14 10 12 17 20 20 17 17 18 18 20 21 19 17 16 17 18 18 19 20 21 23 26 30 34 38 41 43 40 33 28 24 22 20 19 18 16 16 15 15 12 9 9 11 12 13 15 17 19 21 23 22 19 17 14 13 12 11 12 12 13 14 15 16 16 17 17 17 17 17 15 13 11 9 11 14 16 16 15 14 12 11 13 16 18 20
14 15 17 18 14 6 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 4 14 31 49 55 44 24 11 7 8 9 11 14 15 17 14 15 21 27 28 26 23 22 22 23 23 21 18 17 18 19 20 21 22 23 24 27 29 32 33 39 43 41 36 29 25 23 22 20 19 18 17 16 16 12 10 11 13 14 15 16 19 21 23 24 22 20 18 16 13 12 12 12 11 11 12 13 12 13 14 14 16 18 17 15 13 10 9 11 13 15 15 15 14 12 11 12 15 18 20
10 8 11 10 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 31 41 43 33 19 10 8 9 11 14 16 18 19 19 22 27 30 30 29 26 24 24 24 23 22 20 20 22 23 23 24 25 26 28 29 32 32 35 38 39 37 31 27 24 22 21 21 20 19 20 17 13 10 12 17 18 19 20 21 23 25 24 21 20 17 16 14 14 14 13 12 12 11 11 10 10 10 10 13 15 16 14 11 9 9 11 13 15 15 15 13 12 12 12 14 18 21
12 5 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 15 26 35 35 25 14 9 9 10 13 17 20 21 21 21 25 29 33 36 37 33 27 26 23 23 23 23 24 26 27 29 29 29 32 34 36 36 35 34 33 34 31 28 25 24 24 23 22 22 21 17 13 12 17 22 23 22 20 19 21 22 22 20 19 19 17 16 14 13 12 12 14 12 11 11 10 9 8 10 13 15 13 11 9 9 11 14 15 15 15 14 12 11 10 13 19 23
23 13 9 9 4 5 3 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 4 8 15 24 28 25 20 13 11 10 12 16 21 24 24 23 24 27 34 41 46 46 41 32 25 23 24 24 24 26 28 30 30 30 34 37 40 44 46 37 32 30 28 27 26 26 27 24 25 25 21 16 12 14 21 25 25 22 18 15 13 13 14 14 14 15 15 16 15 13 11 12 13 12 12 12 11 11 9 9 9 11 11 10 9 9 10 13 14 15 15 15 13 12 10 13 19 24
36 25 16 12 5 9 11 11 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 12 19 22 26 25 18 15 14 17 23 27 28 27 26 28 33 40 50 58 60 42 32 27 24 25 26 25 26 26 27 28 31 34 36 41 50 42 36 31 27 25 23 23 25 25 26 26 21 15 14 17 21 26 25 22 18 15 11 9 8 9 10 10 10 11 12 12 11 11 11 11 11 11 10 10 10 11 9 7 8 8 8 8 11 12 13 13 15 14 13 12 11 12 17 22
46 40 26 16 15 18 20 20 17 13 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 14 20 27 24 19 16 19 24 31 33 34 32 31 35 43 53 66 69 53 45 40 36 36 35 33 30 29 29 30 31 32 33 35 45 45 40 33 27 24 21 20 21 22 24 25 24 21 19 18 19 23 24 23 21 20 18 13 11 10 10 10 10 9 9 10 9 10 10 10 10 9 10 10 11 11 10 8 7 7 7 7 9 10 10 10 14 13 11 10 10 11 15 21
50 52 39 25 21 22 23 24 23 21 17 13 11 8 4 2 1 0 0 0 0 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 1 3 6 9 20 24 20 17 17 21 27 32 37 39 38 38 41 53 67 67 63 61 58 54 50 47 50 45 42 42 42 40 39 37 36 41 44 45 40 30 25 22 20 20 20 20 22 22 21 20 19 19 20 20 20 20 18 20 17 14 12 11 11 11 11 10 9 9 9 8 8 9 10 11 12 12 11 11 10 9 7 6 7 8 10 11 11 12 11 10 10 10 12 15 20
44 52 44 30 25 25 25 24 22 19 19 17 14 13 12 10 7 5 5 3 3 5 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 17 20 19 13 16 23 28 35 42 46 43 42 54 64 67 71 76 77 73 68 64 68 70 69 67 65 60 58 53 47 46 48 53 51 40 33 27 23 22 20 19 19 20 19 19 20 20 21 21 20 19 18 18 17 14 12 12 12 10 10 10 10 10 9 8 9 10 12 13 14 13 12 11 11 11 8 7 7 7 8 11 12 11 11 10 8 8 10 14 19
36 44 41 34 28 27 26 24 21 19 20 21 20 22 23 20 16 14 12 8 9 10 9 8 7 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 0 0 0 0 0 0 0 0 0 0 0 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 8 13 18 13 14 18 23 31 42 53 48 36 51 62 66 72 84 92 92 89 89 92 94 93 90 91 89 85 79 72 66 65 66 61 51 42 37 31 25 23 20 20 20 19 18 19 20 21 22 20 19 18 17 16 13 12 12 11 11 10 9 8 9 9 9 10 10 12 13 14 14 12 11 11 10 8 7 7 5 8 10 10 10 10 10 9 8 9 13 17
30 38 36 37 31 29 27 25 24 24 25 25 25 27 28 26 23 21 20 17 17 16 14 13 11 8 3 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 1 2 8 13 13 14 18 25 35 51 58 50 51 62 67 65 81 93 98 105 112 117 121 124 122 124 125 116 108 101 94 89 84 75 64 57 49 40 34 28 22 22 21 20 19 19 20 21 22 21 19 18 17 16 14 13 12 11 11 12 11 9 8 8 8 7 9 10 12 14 13 12 11 11 10 8 6 6 5 6 8 10 10 11 10 9 7 8 12 15
19 28 26 33 29 25 24 26 28 29 28 24 26 29 30 28 26 26 25 23 22 20 19 17 14 11 6 3 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 2 5 9 14 18 22 29 39 53 62 59 61 68 56 67 80 94 109 124 136 145 153 157 160 166 156 140 132 128 122 112 100 88 78 68 57 46 38 30 27 23 22 21 20 21 22 22 22 20 18 17 17 16 14 13 11 11 12 11 11 10 9 7 6 6 8 10 12 12 12 12 12 11 9 6 5 5 5 7 10 11 10 10 10 7 9 13 16
9 16 16 19 15 13 16 18 16 12 12 13 18 23 24 23 23 25 24 24 26 24 22 20 15 10 4 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 15 20 24 29 34 43 60 67 61 65 51 57 69 84 99 118 139 154 170 183 200 216 213 192 174 169 161 149 134 121 107 90 71 58 52 45 37 30 24 22 21 20 21 21 21 19 18 17 17 16 15 13 11 11 12 12 12 11 10 8 6 5 8 10 11 11 11 10 9 11 10 8 6 5 6 6 10 10 11 12 13 14 15 16 17
4 11 15 15 13 12 13 15 14 11 16 13 12 14 14 13 15 17 17 19 21 20 19 16 12 7 2 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 4 12 17 23 30 37 39 47 64 66 66 56 53 58 65 74 91 114 138 165 189 225 263 280 265 235 219 210 200 187 169 148 121 95 78 70 64 55 42 33 26 22 21 21 21 20 19 19 18 19 19 16 14 13 13 13 13 12 11 10 9 8 6 9 10 11 10 9 6 5 9 9 8 7 6 6 8 11 10 10 12 14 16 18 18 16
4 10 15 16 16 16 18 19 20 16 12 13 12 12 11 10 10 11 12 13 14 15 14 13 10 8 3 1 0 0 0 1 1 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 1 5 9 16 25 37 42 44 56 70 79 73 66 64 63 63 65 75 103 136 169 216 279 332 332 281 278 291 298 286 253 211 170 136 111 94 84 74 60 48 37 29 24 21 21 20 20 21 24 25 22 19 17 15 16 14 11 10 9 9 10 9 9 10 11 12 11 8 6 6 8 9 7 6 6 7 10 11 9 8 8 10 15 17 17 16
3 7 11 14 18 21 24 25 25 24 19 16 14 13 11 11 11 11 12 12 13 13 13 12 9 9 5 3 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 14 26 36 42 49 69 86 92 94 95 95 89 68 60 75 98 130 180 257 357 366 360 375 403 423 412 371 321 255 199 160 130 107 92 77 63 51 38 28 22 21 21 22 25 26 25 24 22 21 17 16 15 13 11 11 10 11 11 11 12 12 12 10 7 7 9 9 8 8 8 8 9 11 11 10 8 7 9 14 16 16 16
2 4 6 9 12 16 18 21 24 26 23 21 17 13 11 11 11 10 10 11 12 12 12 11 9 8 7 6 5 4 2 1 1 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 1 4 12 22 34 40 59 74 86 96 108 129 142 106 83 71 69 85 120 184 287 358 408 448 488 524 531 520 473 391 313 247 191 149 119 95 78 63 49 37 28 25 22 21 23 25 26 26 25 25 22 21 19 17 15 13 13 13 12 12 11 11 10 8 6 6 7 9 11 13 13 12 12 12 11 11 11 10 12 14 16 18 18
1 2 3 4 6 7 8 11 15 18 20 21 22 20 16 14 14 10 7 9 11 12 12 11 11 9 8 7 5 3 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 1 2 5 17 25 35 46 59 72 79 102 124 134 128 102 66 56 69 112 196 293 381 449 498 546 599 653 649 584 488 389 297 223 169 125 96 77 61 48 37 31 27 25 26 26 26 27 27 27 27 26 25 23 19 15 16 15 13 11 11 10 10 8 8 11 14 16 17 17 16 14 13 13 13 12 16 18 18 17 19 19 19
1 2 5 6 5 4 4 4 5 8 12 16 21 22 20 19 18 14 9 8 10 14 15 13 12 10 8 6 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 4 10 16 22 31 45 46 60 75 98 121 119 81 57 51 66 112 189 282 354 395 460 572 705 783 779 707 589 457 337 247 182 137 103 78 58 46 39 34 31 29 26 28 28 28 28 29 29 29 26 24 21 20 19 16 16 13 12 12 11 14 19 22 21 18 19 20 18 16 16 15 15 18 20 20 21 22 22 22
1 4 5 8 11 11 9 6 2 5 7 12 16 19 21 23 26 20 12 10 13 18 19 17 14 10 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 22 27 33 41 55 77 96 90 76 58 52 69 116 190 254 292 361 460 607 764 860 865 789 664 509 370 265 192 145 104 75 57 46 39 35 33 30 32 32 29 27 28 28 27 27 26 24 22 20 19 18 18 17 17 20 24 24 20 18 16 19 23 24 22 21 19 18 20 20 20 23 29 28 25
0 2 4 7 11 15 17 13 7 8 11 14 16 18 20 24 35 25 17 15 18 21 22 20 16 12 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 19 24 24 29 46 63 82 92 75 54 50 71 121 180 241 299 368 480 651 808 920 929 864 728 557 394 272 201 148 106 75 55 45 39 36 37 39 38 32 24 27 27 27 26 25 24 23 21 21 22 25 24 22 22 22 20 19 19 19 21 24 27 25 24 22 21 21 23 27 36 37 34 29
2 4 5 7 10 15 16 15 11 11 13 17 19 19 22 22 34 29 23 21 21 22 24 21 17 13 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 18 21 22 27 38 59 83 84 67 54 55 76 110 164 227 298 404 563 755 901 981 998 944 802 578 409 298 219 156 107 71 52 47 45 44 45 45 36 23 25 26 27 28 28 26 24 22 21 20 23 25 24 23 21 20 22 23 23 22 23 26 27 25 23 21 21 29 37 41 41 37 31
8 8 9 11 12 13 14 12 11 11 13 15 16 17 18 18 25 27 26 25 24 22 22 21 18 14 9 4 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 1 4 9 15 19 20 23 37 57 71 71 65 53 52 68 109 169 235 304 385 502 691 858 965 1011 1022 844 648 471 330 230 160 101 72 60 55 53 53 53 40 27 24 25 28 31 31 29 28 25 24 26 29 31 30 28 28 28 28 26 26 23 23 25 26 24 22 20 27 41 48 48 44 38 32
14 12 13 14 15 16 15 12 11 9 8 9 12 14 13 16 23 28 30 30 28 27 27 25 21 16 10 7 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 14 15 16 23 35 50 65 72 64 54 59 84 124 159 192 258 364 504 651 784 894 1061 1097 995 764 511 350 249 166 113 80 62 55 57 60 48 37 32 29 28 31 34 33 35 35 36 35 34 34 34 33 33 33 31 28 27 26 26 26 25 23 22 22 33 45 52 51 46 41 34
15 16 16 16 15 14 12 10 9 7 7 11 15 14 14 16 22 26 31 35 33 32 31 28 25 20 15 11 10 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 12 14 18 24 33 52 69 75 71 70 80 97 106 138 199 279 370 470 562 712 967 1152 1202 1060 769 558 398 262 168 109 77 70 70 66 56 45 37 33 32 38 40 40 39 37 36 36 36 34 34 35 36 35 32 32 31 30 28 25 24 21 24 28 36 44 49 47 44 42 37
16 17 18 17 16 15 16 10 9 10 12 15 17 17 15 13 18 24 29 35 35 35 33 31 28 26 26 26 26 19 12 6 3 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 3 7 12 17 21 26 35 50 66 78 88 94 101 102 120 159 216 285 355 387 485 624 783 978 1132 1023 849 628 405 245 166 116 94 83 74 61 48 40 36 42 45 43 39 38 39 40 38 39 38 40 41 40 41 40 39 37 35 32 28 28 28 31 35 38 40 41 40 41 41 39
17 18 19 19 16 12 10 8 12 14 16 17 17 15 15 15 21 27 32 35 34 32 31 31 31 33 36 35 28 23 18 15 13 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 13 17 17 17 26 45 66 88 98 108 117 130 148 180 227 261 286 322 370 460 651 944 1102 1108 945 668 390 245 172 132 106 85 67 55 51 53 51 46 39 37 40 42 44 43 43 43 45 47 41 41 42 40 38 38 38 36 36 37 39 42 42 42 38 37 41 44 46
18 17 18 19 18 18 20 15 15 17 17 15 14 14 16 19 25 30 33 32 31 30 29 28 32 37 40 38 33 33 34 32 23 12 3 1 0 0 0 0 0 0 0 1 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 1 6 7 4 4 11 24 38 60 74 90 112 136 150 175 197 213 231 247 269 333 509 790 1038 1185 1165 953 634 369 253 180 133 100 76 63 58 53 50 46 44 43 43 44 45 45 46 48 49 49 47 46 44 40 39 41 43 44 43 44 45 47 46 42 37 38 43 50 55
18 18 19 20 21 21 21 20 21 22 22 18 16 16 19 22 26 29 30 29 33 34 32 31 34 39 40 35 38 40 45 42 31 19 10 4 2 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 10 23 36 46 56 76 111 136 162 189 202 210 218 231 284 435 601 759 920 1036 1032 893 634 402 254 171 117 86 68 58 51 49 51 53 53 53 51 51 52 54 57 56 57 58 57 53 48 47 49 52 52 51 49 49 50 48 43 39 41 48 56 62
19 22 25 27 26 23 24 25 27 28 28 24 21 21 23 24 26 29 33 34 40 41 41 43 44 44 42 36 40 43 45 42 35 26 17 10 7 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 16 26 33 37 42 57 80 121 163 192 208 217 232 290 365 414 468 563 704 901 1009 897 639 385 217 129 99 77 65 59 59 62 67 67 65 62 62 62 63 67 69 71 72 72 70 64 62 61 60 59 57 54 52 52 51 46 42 45 53 60 66
23 25 28 29 27 26 25 26 26 28 30 30 28 25 24 24 25 28 35 40 44 46 48 49 47 45 48 44 41 39 39 40 36 29 20 15 13 11 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 17 27 34 38 38 45 59 80 112 152 187 206 225 267 318 337 332 363 473 740 912 919 772 540 315 193 135 99 79 73 73 74 80 80 77 75 75 73 73 79 82 83 83 82 83 82 80 78 76 72 68 61 56 55 54 51 50 52 56 61 66
30 31 29 25 22 22 23 23 22 23 27 32 33 29 27 24 23 25 32 38 43 45 47 50 50 49 51 53 48 42 40 40 38 35 25 19 14 9 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 0 0 0 0 0 0 0 0 0 0 1 5 14 25 33 38 40 43 47 52 64 91 121 149 170 204 245 277 291 295 355 494 614 679 676 616 455 311 205 132 90 82 82 84 87 83 76 72 80 83 86 90 93 96 98 95 97 98 95 91 89 85 78 72 66 62 59 58 55 53 55 59 64
39 38 32 25 20 18 21 21 20 19 22 27 30 27 27 27 25 24 27 32 37 40 44 48 50 52 51 54 55 53 50 46 41 39 29 19 12 7 4 2 0 0 2 4 5 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 0 0 0 0 0 0 0 2 7 15 20 27 33 37 41 43 41 48 59 80 100 130 176 228 271 270 283 320 370 422 490 553 480 365 254 167 109 98 93 93 93 89 85 87 89 92 96 100 104 112 117 119 117 114 110 107 104 97 86 81 75 67 59 58 52 50 53 58 62
40 41 38 31 26 24 24 23 21 18 17 19 19 21 24 27 28 28 27 29 34 36 39 44 48 51 51 51 51 51 50 50 45 40 34 28 24 18 8 2 0 3 8 12 14 10 3 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 2 4 6 14 22 30 35 37 34 35 36 41 52 74 114 176 235 254 259 266 280 310 359 394 374 319 259 206 149 115 100 99 103 101 99 99 101 105 110 116 123 128 131 130 130 129 127 125 118 112 102 92 82 69 59 54 50 49 52 58 60
25 23 22 24 25 26 27 24 20 14 12 14 11 14 19 23 26 29 30 31 32 32 36 43 46 47 49 49 49 50 52 53 52 50 47 45 45 43 29 22 19 20 22 24 25 20 16 11 6 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 0 0 0 0 0 0 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 11 21 33 40 34 31 28 27 32 45 61 120 183 226 251 263 263 282 291 288 275 254 231 208 168 123 103 106 113 110 111 116 123 126 130 137 141 144 148 151 151 149 148 141 132 124 118 106 94 78 66 56 53 54 55 58 62
14 14 14 15 16 19 21 19 14 9 8 11 9 11 14 19 23 25 28 29 32 34 35 38 40 44 49 53 55 57 61 59 59 60 60 61 64 66 56 51 49 40 30 27 34 35 34 26 18 9 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 1 4 12 29 33 29 24 20 20 26 40 53 91 143 196 233 255 263 263 255 244 232 214 196 171 139 117 113 124 123 119 127 139 149 157 169 173 174 176 179 180 179 176 176 174 168 158 149 137 125 110 96 85 79 71 65 66 69
4 3 4 5 7 8 10 10 8 7 6 8 8 10 13 17 20 22 22 24 29 33 36 41 46 50 55 59 60 61 63 65 66 68 67 66 68 69 63 56 50 39 29 32 37 42 39 33 25 15 2 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 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 1 3 20 25 24 19 14 15 23 34 50 77 118 167 212 235 245 246 238 225 216 201 182 163 143 139 157 166 159 157 167 184 196 211 215 210 208 209 211 210 207 206 213 220 219 209 204 190 174 162 153 142 124 101 91 86 83
1 1 2 1 2 2 3 3 3 5 5 5 5 6 9 13 16 18 20 23 25 28 34 43 48 52 56 59 60 61 64 68 69 72 72 70 69 67 60 50 47 47 45 39 38 39 31 24 22 22 8 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 1 1 1 1 2 2 2 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 19 23 22 16 18 23 28 39 60 93 146 195 224 231 222 213 207 206 206 204 202 203 200 207 197 185 187 202 216 223 226 212 199 191 188 195 205 213 227 250 277 295 282 257 234 218 210 205 195 171 150 135 125 114
1 1 1 1 1 1 1 1 2 2 3 3 3 2 3 6 9 9 8 9 13 18 24 35 43 49 53 56 59 61 65 68 67 68 70 69 66 67 60 52 53 57 50 38 34 33 26 18 17 23 14 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 0 0 0 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 24 26 23 24 24 26 33 49 83 129 172 209 222 207 199 192 194 207 219 229 239 235 211 184 169 165 169 175 173 161 154 151 150 152 165 180 204 242 287 316 310 287 268 254 246 242 248 237 219 199 183 170 155
1 1 1 0 0 0 0 1 1 1 1 2 2 2 1 2 3 3 2 3 6 11 14 23 33 40 44 47 52 56 56 55 50 48 48 50 54 60 55 48 43 37 31 26 22 25 23 18 12 15 12 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 1 2 2 2 2 2 1 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 1 3 9 15 19 25 28 28 28 26 29 37 51 81 113 157 206 233 227 208 193 189 193 197 204 206 196 176 163 158 151 141 131 134 132 128 126 126 134 149 170 199 242 297 305 289 272 259 252 250 248 252 251 243 230 212 198 186
2 2 2 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 2 3 2 6 8 11 15 19 23 30 33 28 21 17 16 16 17 14 22 25 24 22 21 20 14 8 11 14 12 8 8 8 4 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 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 21 28 29 30 30 32 33 34 37 44 66 99 136 189 254 278 261 228 199 186 181 177 172 170 171 173 174 170 166 174 160 147 140 136 132 132 140 154 171 196 233 286 302 291 267 247 238 239 242 246 245 239 229 213 198 183
1 1 2 2 2 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 2 1 1 2 7 9 7 2 0 1 2 2 1 2 2 1 2 3 2 0 0 2 5 6 6 6 6 4 3 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 14 27 35 38 37 35 36 40 44 53 69 101 143 192 241 277 261 228 193 173 168 166 164 170 175 179 181 178 178 175 180 179 171 159 153 150 152 158 167 181 201 237 281 303 291 254 232 227 229 237 250 256 240 223 204 182 160
1 1 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 5 3 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 1 1 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 3 12 25 36 41 43 43 43 49 66 93 130 160 183 205 222 221 196 173 155 144 144 147 148 158 165 167 164 165 174 175 178 181 178 165 157 156 158 163 172 183 210 246 280 297 285 247 233 227 225 234 255 260 248 224 196 167 139
1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 4 4 3 5 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 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 23 31 38 44 50 60 77 107 142 168 174 164 150 143 140 134 125 116 112 102 104 102 103 115 128 130 143 153 158 159 160 161 150 140 134 134 139 155 171 200 238 273 286 269 251 238 228 226 234 251 263 261 238 203 170 139
2 1 1 0 1 1 1 1 0 0 0 1 1 1 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 3 3 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 1 2 3 3 3 2 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 23 29 35 43 54 69 95 121 128 123 108 87 76 74 76 75 72 71 66 53 50 52 60 78 92 99 111 123 131 132 129 123 118 107 98 105 121 132 148 172 206 245 259 258 248 233 226 229 233 237 245 249 239 213 185 154
2 1 1 1 1 1 1 1 1 0 0 0 0 0 1 2 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 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 1 2 4 4 3 3 3 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 3 10 20 27 32 37 44 54 64 76 77 70 58 44 31 29 32 34 35 35 37 33 26 25 29 39 52 67 78 88 100 110 106 98 92 86 78 75 85 97 112 128 147 176 210 233 245 238 229 232 239 242 230 220 215 211 203 191 173
3 3 2 1 1 1 1 0 0 0 0 0 0 0 1 3 4 4 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 4 2 1 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 2 3 3 4 4 4 3 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 0 0 0 0 0 0 0 0 0 2 15 26 33 37 40 45 50 52 49 39 29 22 17 13 13 15 15 16 15 18 17 16 16 21 29 39 50 61 70 77 80 74 71 68 68 72 78 88 98 112 129 148 175 203 220 227 231 233 238 240 236 224 208 196 190 186 182 173
5 4 3 2 2 2 1 0 0 0 0 0 0 0 0 2 4 5 4 4 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 4 7 8 6 4 2 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 1 2 4 4 5 4 4 4 3 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 5 19 31 38 40 42 44 45 42 32 20 11 10 9 8 7 7 7 8 9 11 13 13 13 18 27 35 42 50 60 67 69 68 69 69 73 81 90 99 113 136 161 174 187 199 204 205 210 217 230 230 223 213 198 191 181 174 170 165
6 5 4 3 3 3 3 1 1 0 0 0 0 1 1 2 5 8 8 6 3 2 1 1 2 2 2 2 1 1 1 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 3 5 7 7 4 2 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 0 0 1 1 2 3 4 5 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 2 1 2 1 1 1 0 0 0 0 0 0 1 3 6 13 23 34 42 43 44 43 40 34 23 11 8 7 6 6 5 5 5 6 8 12 15 18 21 29 41 49 54 61 71 81 88 90 88 87 92 100 116 138 162 181 191 186 179 176 179 185 191 199 209 208 197 181 172 172 167 165 165 164
7 5 4 4 5 4 3 3 1 1 1 1 1 2 4 9 14 17 16 12 6 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 3 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 2 3 3 4 4 4 4 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 2 6 10 16 25 37 46 47 46 43 38 31 20 11 7 6 6 5 5 5 6 8 12 18 25 34 48 64 75 81 86 94 103 111 115 117 118 128 146 170 192 208 217 212 190 170 160 159 160 167 176 182 186 184 178 167 161 160 164 171 176 171
6 5 5 5 5 5 4 4 3 2 2 3 3 6 10 15 19 20 19 16 9 4 2 2 2 2 2 2 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 1 1 1 0 0 1 2 3 3 3 3 3 4 4 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 2 7 11 12 18 38 50 53 52 48 41 33 22 14 10 7 7 7 7 8 9 13 19 28 39 55 74 93 107 113 119 126 133 142 150 158 171 189 210 229 242 241 220 187 156 138 138 146 156 159 163 166 168 165 170 171 166 165 172 181 178 167
5 4 5 5 4 4 4 3 3 3 3 5 10 13 15 16 17 16 16 14 8 5 3 2 2 2 1 2 3 3 3 2 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 3 3 3 3 2 2 1 1 2 2 3 3 3 3 3 3 3 2 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 8 14 14 7 31 49 59 61 56 48 38 28 21 15 12 11 12 12 13 15 22 31 41 54 70 89 109 123 131 139 146 157 172 191 210 222 219 210 200 190 179 159 137 120 113 115 116 125 135 142 146 147 141 146 149 151 158 171 172 164 156
5 4 4 4 4 3 3 2 2 3 5 9 14 16 16 15 13 12 13 11 7 5 4 3 2 2 2 2 2 2 2 1 2 3 3 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 3 3 3 2 2 3 3 2 1 1 1 1 1 1 1 1 2 7 14 18 8 19 40 57 63 60 52 42 35 28 24 21 21 22 23 25 28 34 44 55 68 83 97 112 125 141 154 166 181 198 209 204 189 163 134 111 95 88 88 89 91 90 93 90 94 103 111 117 121 120 121 124 131 140 150 151 146 141
6 5 4 4 4 3 2 1 2 5 8 11 13 12 11 9 7 7 8 7 6 4 4 3 3 2 2 2 2 2 2 3 4 6 7 6 4 3 2 2 2 1 1 1 1 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 2 1 2 3 3 3 3 2 1 1 1 2 2 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 1 1 1 1 1 1 3 4 3 3 3 3 3 3 2 1 1 1 1 0 1 1 1 2 6 13 17 11 10 21 39 50 53 51 48 42 37 33 31 30 31 32 33 37 47 57 65 74 87 105 123 142 157 166 171 176 181 170 140 108 78 58 49 48 48 52 59 69 71 73 74 78 84 92 98 101 101 103 108 115 123 131 135 135 136
6 5 4 4 3 2 2 2 4 6 9 12 12 10 8 7 6 5 5 5 5 4 4 4 3 3 3 2 2 2 4 5 7 9 11 11 9 5 3 3 2 2 2 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 1 2 2 3 3 3 2 1 1 1 1 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 2 3 4 4 3 3 3 2 2 1 1 1 1 0 1 1 1 2 3 5 12 16 14 7 7 19 32 41 44 45 45 43 41 39 40 40 40 45 54 64 70 78 91 109 130 147 156 157 153 140 120 93 83 78 62 44 35 33 33 33 35 44 59 66 68 69 70 77 88 90 91 91 93 92 100 109 118 123 125 121
6 5 4 3 3 2 2 3 3 4 6 10 15 13 12 10 8 7 7 5 4 4 5 5 4 4 5 5 5 6 6 6 8 11 15 16 14 9 6 4 3 3 2 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 3 2 2 2 1 1 1 1 1 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 4 4 3 3 3 3 3 2 1 1 1 1 0 0 1 1 0 1 2 4 10 15 15 10 5 10 24 33 36 39 43 46 45 46 47 47 52 62 70 76 81 89 106 139 149 146 136 120 101 88 74 67 64 56 42 34 30 28 29 32 38 47 58 64 65 63 63 72 78 82 83 81 80 81 86 95 104 108 109 104
5 5 4 3 2 1 1 1 2 3 6 12 17 18 17 15 12 11 9 7 6 5 5 5 6 6 7 7 8 9 8 8 10 14 19 20 17 13 10 7 5 3 2 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 2 1 1 1 1 1 2 2 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 1 2 4 5 5 4 4 4 4 5 4 3 3 2 1 1 1 1 1 1 1 2 3 5 10 14 15 11 3 4 10 19 29 37 44 49 50 53 56 64 76 83 82 84 85 83 90 89 77 83 89 80 64 62 59 57 54 44 34 31 29 30 32 36 43 53 59 62 62 59 60 65 72 76 77 76 72 73 77 85 93 96 93 86
5 4 4 3 2 1 1 2 3 5 7 13 20 21 19 17 14 14 12 10 8 6 6 5 5 6 7 8 9 9 8 9 14 19 22 22 20 16 12 9 6 4 3 2 1 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 2 1 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 7 6 6 6 4 3 3 2 1 1 2 3 6 8 10 14 18 16 6 1 1 6 16 27 40 46 51 56 60 65 74 83 90 93 89 81 80 79 74 70 74 76 75 70 64 54 44 41 37 34 33 35 38 40 48 56 60 62 61 58 54 55 61 69 76 79 79 78 78 80 85 88 86 82 81
5 4 4 3 2 2 2 2 3 4 6 12 16 19 19 17 15 12 11 10 8 7 6 5 5 6 6 7 8 7 7 11 18 24 24 22 20 17 13 9 6 5 4 3 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 3 3 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 4 6 7 8 9 9 10 10 9 8 5 3 2 1 2 3 6 11 14 16 19 18 9 1 0 1 4 11 26 52 62 67 66 63 64 65 69 75 75 70 75 79 74 73 79 81 69 65 60 51 43 42 47 44 41 42 47 54 58 65 70 73 75 67 61 58 62 68 76 84 87 88 90 91 91 92 93 91 87 94
5 4 3 3 3 3 2 2 2 4 6 9 13 17 18 17 14 10 9 8 7 5 5 4 5 6 7 6 6 6 9 16 22 24 22 18 15 12 10 7 5 5 4 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 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 1 4 6 8 9 10 12 12 12 11 9 7 3 1 2 3 5 11 18 23 25 19 11 3 0 0 0 2 7 21 55 72 71 64 63 56 51 54 56 52 48 57 53 49 50 50 46 45 45 44 41 39 44 45 45 45 49 56 63 70 80 90 94 96 86 79 77 81 85 88 91 94 96 96 95 94 96 102 107 107 116
6 6 5 4 3 3 3 3 3 5 6 9 12 16 18 16 13 9 7 5 4 3 3 3 2 3 3 3 4 6 13 20 22 18 14 10 7 5 5 4 3 3 3 3 3 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 3 5 8 9 10 11 12 11 10 9 5 3 2 3 5 11 18 21 16 7 1 1 0 0 0 0 0 0 14 37 50 50 46 44 38 33 29 29 32 33 35 35 36 35 35 34 36 37 38 36 35 39 43 46 47 49 58 65 73 84 100 108 113 110 99 90 95 96 94 95 97 95 90 90 91 92 97 107 110 106
7 7 7 5 4 5 5 6 6 7 8 11 14 16 17 15 11 8 5 4 3 2 2 2 1 1 1 1 2 5 12 17 15 9 6 5 3 2 2 2 2 2 2 2 3 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 6 8 7 7 7 7 8 8 6 4 2 1 2 5 10 16 15 10 3 1 0 0 0 0 0 0 0 8 19 28 28 28 25 22 21 21 22 23 24 25 26 28 30 31 32 34 35 37 37 39 42 44 46 46 49 54 58 60 65 79 93 106 104 91 91 94 93 92 92 95 92 88 92 95 90 86 96 107 104
7 7 8 7 6 6 7 8 9 10 12 15 18 18 15 12 9 6 4 3 2 2 2 2 1 1 1 0 0 3 7 9 8 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 6 7 9 6 4 3 4 5 7 6 4 2 1 1 2 5 7 7 5 2 0 0 0 0 0 0 0 1 4 10 18 15 15 15 16 16 17 16 17 18 19 21 23 27 30 32 34 35 37 38 40 41 42 44 42 42 42 41 43 48 53 62 72 76 68 76 82 85 87 91 94 86 83 95 112 101 88 92 98 100
6 7 7 8 6 6 7 8 10 13 17 21 21 17 12 7 5 3 2 2 1 2 2 1 1 1 0 0 1 2 4 5 5 3 2 2 2 2 2 1 2 2 2 2 3 3 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 6 6 6 6 4 2 1 2 3 6 6 5 4 3 2 3 4 6 6 5 2 1 0 0 0 0 1 2 3 4 5 8 9 10 11 12 13 14 15 15 16 18 21 23 26 28 29 31 32 32 31 30 31 33 35 36 36 36 34 34 34 35 37 43 49 50 56 64 72 77 89 96 101 96 97 120 118 123 125 113 99
3 2 4 6 5 5 6 7 10 16 22 26 24 16 8 3 3 2 2 2 2 1 1 0 0 0 0 0 1 2 3 4 4 3 3 2 2 2 1 1 2 2 3 4 4 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 4 3 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 3 2 2 1 0 0 3 6 7 7 6 5 4 4 4 4 6 5 3 1 0 0 0 0 1 2 4 5 4 5 7 8 9 10 11 12 13 14 16 17 19 21 22 22 23 23 24 23 22 21 21 23 26 30 32 32 31 29 29 29 31 36 41 45 45 48 58 63 71 78 90 101 103 109 111 116 121 122 108
0 1 3 4 4 5 6 9 14 21 27 28 23 16 7 3 2 2 2 1 0 0 0 0 0 1 1 1 1 1 2 2 3 3 3 3 2 2 2 2 2 3 4 5 4 2 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 2 3 2 1 1 1 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 3 2 1 1 1 1 1 0 0 1 2 4 5 5 5 4 4 3 2 4 4 2 1 0 1 1 1 2 3 3 3 2 2 3 5 6 7 7 9 10 11 13 14 15 16 17 16 17 18 18 18 17 18 20 23 26 28 30 30 29 30 31 34 35 38 39 39 39 41 50 56 59 65 76 87 91 94 96 98 100 101 106
0 1 2 4 5 7 9 13 19 25 27 24 18 11 6 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 2 2 2 3 3 4 4 3 3 3 3 2 1 2 1 1 1 1 1 0 1 2 2 1 1 1 1 2 2 3 4 3 3 3 3 4 3 3 3 3 3 3 3 3 2 2 2 2 3 2 1 1 1 0 1 1 1 1 0 0 0 0 0 0 1 2 3 2 2 2 2 1 1 1 1 1 1 0 0 0 1 3 4 5 4 3 3 3 4 4 2 0 1 1 1 1 1 2 3 2 1 1 1 2 2 3 4 5 6 7 8 9 10 11 12 13 13 14 14 15 14 18 23 28 31 33 36 39 39 38 35 37 41 42 44 46 47 51 58 62 65 70 76 80 82 85 91 98 102 100 104
3 5 7 10 11 12 13 17 21 23 22 18 12 6 4 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 4 5 5 5 5 4 4 3 3 4 3 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 2 2 3 4 5 4 3 3 4 3 3 3 3 3 3 3 3 3 3 2 3 3 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 1 2 3 3 2 1 2 1 1 1 1 1 1 0 0 0 0 1 2 3 3 3 3 3 5 4 2 0 1 0 1 1 0 1 2 1 0 0 0 0 0 1 1 1 2 3 4 4 5 6 8 9 10 13 15 17 19 21 27 35 40 43 47 50 52 50 41 43 47 54 63 69 70 71 73 75 78 82 80 81 83 87 93 96 103 101 94
8 11 14 16 16 16 16 16 17 17 14 10 7 4 2 1 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 3 5 6 7 7 7 7 7 5 5 4 4 4 4 2 2 1 1 1 1 1 0 0 0 1 1 1 2 2 2 3 4 5 5 5 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 4 3 3 2 1 1 0 0 0 1 0 1 2 2 3 2 2 1 1 1 1 1 1 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 2 3 3 4 6 7 10 15 20 25 30 29 32 39 44 48 50 51 51 49 49 49 52 62 75 77 74 73 73 73 69 65 67 70 72 70 68 67 65 61 56
9 12 14 16 16 16 15 14 13 13 9 6 3 2 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 5 5 6 8 9 8 5 4 5 6 6 5 4 2 1 1 0 1 0 1 1 1 1 1 1 1 2 3 3 3 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 3 2 2 2 2 2 0 1 2 3 4 3 2 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 4 6 9 12 17 23 27 29 31 32 35 40 43 47 53 55 54 53 50 50 55 62 62 60 57 54 52 48 44 45 48 50 49 48 46 42 41 41
6 10 12 13 13 13 12 10 8 5 3 1 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 1 1 2 2 4 3 3 3 3 3 4 5 7 8 8 6 6 6 7 7 6 5 4 3 2 2 2 1 1 1 1 1 1 2 2 2 3 3 3 3 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 3 3 3 3 2 1 1 1 3 4 5 2 2 2 2 2 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 6 9 12 16 21 22 23 24 24 27 31 35 40 48 49 45 42 40 40 42 47 46 43 40 39 37 38 38 38 39 40 40 41 41 41 40 40
3 5 6 6 6 7 7 5 4 3 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 2 3 3 2 1 2 3 4 5 6 7 7 6 7 7 7 6 6 5 5 5 4 4 4 3 3 2 2 2 3 3 3 2 2 3 3 3 3 3 3 3 4 4 3 3 3 3 2 2 2 3 4 4 3 3 2 2 3 3 3 4 5 5 4 3 3 4 4 2 1 2 4 6 7 6 4 3 2 1 1 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 1 3 3 3 4 6 8 10 13 16 17 17 18 19 21 23 26 28 32 31 30 28 28 31 31 33 35 34 34 32 31 33 35 37 39 39 38 37 36 35 35 35
2 2 1 1 2 3 3 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 2 4 4 5 5 6 7 8 7 7 6 6 5 5 4 4 4 4 4 5 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 2 2 3 4 4 4 3 3 3 3 4 5 6 6 6 5 3 3 4 5 4 3 2 3 5 7 8 7 5 4 3 2 1 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 7 6 6 7 8 9 11 12 11 13 14 16 17 19 20 19 18 17 17 17 20 22 23 25 28 30 30 29 29 31 32 36 38 37 36 37 34 32 32 33
3 2 1 0 1 2 2 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 3 4 5 7 8 8 7 6 6 6 5 4 4 4 4 4 5 5 6 7 7 8 7 6 5 4 3 4 4 4 4 4 4 3 2 3 3 3 3 3 3 3 3 3 3 2 3 4 4 4 4 4 5 5 5 6 7 6 4 3 3 5 6 5 4 3 2 4 5 5 5 4 3 3 2 1 1 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 9 9 9 8 8 9 9 9 10 11 13 14 14 15 16 14 13 12 14 15 15 16 20 23 25 27 28 29 29 32 35 36 36 38 40 39 37 36 36
2 1 1 1 1 1 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 4 5 6 5 5 5 6 6 5 3 4 5 6 6 7 7 7 7 8 7 6 5 4 3 3 3 3 4 4 4 4 3 2 2 2 2 2 2 3 3 3 2 3 2 3 3 4 4 5 5 5 5 6 6 6 4 2 1 2 3 4 4 3 2 3 3 3 3 2 1 1 1 1 1 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 7 6 5 6 6 8 7 8 9 9 9 9 10 11 11 10 13 15 16 18 20 21 23 26 28 29 30 30 31 32 32 31 33 34 34 34 34
1 1 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 4 5 6 7 7 6 6 6 5 6 6 6 6 6 6 6 7 7 6 6 4 3 2 2 2 3 4 5 5 4 3 2 2 2 2 3 2 2 3 3 2 3 2 2 3 3 3 4 4 5 5 6 6 7 5 3 2 1 1 2 2 1 2 3 3 3 3 2 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 3 3 3 4 4 5 5 5 6 7 8 10 10 12 13 15 17 19 19 20 22 24 24 24 25 25 25 25 24 25 26 27 28 29
1 1 2 2 2 2 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 5 5 5 6 6 5 5 5 5 6 6 5 5 6 6 5 5 5 6 5 5 3 2 2 2 2 3 3 3 3 3 3 2 2 3 2 3 3 2 2 3 3 2 2 2 2 2 2 3 3 3 4 5 6 6 5 3 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 2 2 3 3 4 5 7 9 10 11 12 13 14 15 15 16 16 17 16 17 17 17 18 18 18 19 19 21 21 22
2 2 2 2 1 1 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 2 3 4 5 5 5 5 4 3 4 4 4 5 6 6 5 6 4 4 4 4 4 3 3 3 2 2 2 3 2 2 2 2 3 3 3 2 2 2 3 3 3 2 3 2 2 2 2 2 2 2 2 2 2 2 2 3 4 3 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 4 5 7 8 9 10 10 10 10 11 11 11 12 13 13 14 14 15 15 16 16 16 16 16 16
2 2 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 4 4 4 3 3 2 2 3 3 4 5 5 3 4 4 3 3 4 4 3 3 2 2 2 2 3 3 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 2 2 3 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 5 6 6 6 7 7 7 8 8 8 9 10 11 12 13 13 13 13 13 12 12 12 12
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 4 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 3 3 2 2 2 3 3 3 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 2 3 3 3 2 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 2 3 4 5 5 5 5 5 5 6 7 6 7 8 9 9 10 11 11 10 9 10 9 9 8 8
2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 1 1 1 1 1 2 2 3 2 3 4 4 5 5 4 4 3 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 2 3 3 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 1 2 3 3 4 4 3 4 4 5 6 6 6 7 7 9 9 9 9 9 8 7 6 5 5 4 4
2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 1 1 2 1 2 3 3 3 4 4 4 4 4 4 4 2 2 2 2 2 2 3 3 4 5 5 5 5 5 5 5 5 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 3 3 4 5 5 6 6 6 6 6 5 5 4 3 2 2 2 1 1
2 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 2 2 2 3 3 3 2 3 4 3 4 5 3 2 3 3 3 3 2 2 3 1 1 2 2 3 3 5 6 6 6 6 6 6 6 6 6 6 6 5 4 2 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 2 2 2 2 3 3 2 2 2 2 1 0 0 1 1 0 0
2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 3 3 4 3 3 3 3 3 3 2 1 1 1 2 2 2 1 3 3 3 3 4 5 3 4 5 6 7 5 5 6 7 6 6 6 5 4 3 3 3 4 4 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 0 0 0 0 0 0 0 0 0 0
3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 2 2 2 2 2 2 3 3 3 4 4 3 2 1 2 2 3 2 2 2 2 2 5 5 5 5 5 6 5 5 5 5 7 5 5 5 5 4 4 3 3 3 3 3 4 4 3 2 2 2 2 2 2 1 1 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 5 4 5 5 5 5 4 4 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 3 2 3 4 5 5 6 6 6 6 6 6 6 5 4 5 5 4 3 3 2 2 1 1 1 1 2 4 4 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 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
2 2 2 3 4 4 5 6 8 8 8 7 5 4 3 2 2 2 2 2 1 2 2 2 3 4 2 2 3 3 4 4 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 1 1 0 0 0 0 0 0 1 2 3 3 3 3 2 3 3 2 2 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 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
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