Vorticity
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nan 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 10 10 9 8 8 7 8 8 8 8 8 8 7 7 7 7 7 8 8 9 8 7 7 6 6 6 7 7 8 7 7 7 6 6 5 4 3 4 5 6 8 11 13 15 18 19 19 17 14 12 10 9 7 7 6 5 4 4 4 3 3 3 2 2 3 3 4 5 6 6 6 5 4 4 4 4 4 4 4 4 5 5 6 7 7 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 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 nan
nan 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 9 10 9 9 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 8 8 7 6 6 6 7 7 7 7 6 6 5 4 3 3 4 5 7 8 10 13 15 16 17 17 15 13 11 9 8 7 6 5 5 4 4 3 3 3 2 2 3 4 4 5 5 5 5 4 4 4 4 4 4 3 4 4 5 6 7 7 7 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 6 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 6 6 7 7 8 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 7 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 6 6 6 6 7 7 7 7 6 6 5 3 3 4 5 6 7 9 11 13 14 15 16 16 14 12 10 9 8 7 6 5 5 4 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 8 8 8 7 7 7 6 6 6 6 6 7 7 8 8 9 9 8 7 7 7 8 8 8 9 9 8 8 8 7 7 7 6 6 6 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 6 7 7 9 9 9 8 7 6 6 6 6 6 6 7 7 7 6 4 4 4 5 5 6 8 10 11 12 14 15 16 15 13 11 10 9 8 7 6 5 4 4 3 3 3 3 4 4 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 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 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 8 9 9 9 8 7 7 8 8 9 10 10 9 9 9 9 9 8 7 7 7 8 8 8 8 8 9 9 10 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 6 6 7 8 9 9 8 7 7 6 6 5 5 6 6 6 7 6 5 5 5 4 5 5 6 8 9 10 12 14 16 16 15 12 11 9 8 7 6 5 4 4 3 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 5 5 5 6 5 5 5 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 10 9 9 8 8 8 8 7 7 6 6 6 7 8 8 8 7 7 7 6 6 5 5 6 6 6 6 6 6 5 5 5 5 5 6 7 8 10 13 15 17 16 14 12 10 8 7 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 7 6 6 6 6 5 5 5 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 7 6 7 8 9 9 9 8 8 8 9 8 7 6 6 6 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 8 10 12 15 16 16 14 11 9 7 6 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 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 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 7 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 7 7 8 8 8 8 9 8 7 7 6 6 6 6 7 7 8 8 9 9 9 9 9 8 7 7 7 6 6 7 7 7 8 8 7 7 7 8 8 9 8 8 8 9 9 8 8 7 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 6 6 6 7 8 9 12 14 16 16 13 10 8 6 6 5 5 5 5 5 6 6 6 5 6 6 6 6 7 7 7 7 6 6 6 6 5 5 4 4 4 5 5 6 6 6 6 6 6 6 6 5 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 6 6 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 nan
nan 7 6 5 5 5 5 6 6 7 6 6 6 6 7 7 8 8 8 8 7 7 7 8 8 8 7 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 6 5 5 5 5 6 7 7 7 7 7 7 8 9 9 9 8 7 7 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 6 6 7 9 12 14 16 14 12 9 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 7 6 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 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 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 6 5 5 5 6 7 7 7 7 6 6 6 6 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 4 5 5 6 6 6 6 6 7 8 9 9 9 9 8 7 7 7 7 7 8 8 9 8 7 7 6 7 7 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 6 5 5 5 7 8 10 12 13 15 14 12 10 8 7 7 7 7 7 6 6 6 6 7 8 8 8 9 8 8 8 7 7 7 7 6 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 nan
nan 6 7 6 6 6 7 8 8 8 7 7 7 6 6 7 7 8 9 9 8 8 8 8 7 7 7 8 8 8 8 9 8 8 7 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 5 7 8 8 8 8 8 8 8 7 6 6 7 8 9 9 9 9 7 7 7 7 8 8 8 8 7 7 7 8 8 7 6 7 7 7 7 7 7 8 7 6 6 7 7 8 8 9 11 14 15 15 14 12 11 9 9 8 8 7 7 7 7 8 9 10 10 10 10 9 9 8 8 8 7 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 5 5 5 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 6 nan
nan 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 6 6 6 6 7 7 8 8 8 7 7 6 6 7 8 7 6 6 7 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 7 7 8 9 9 9 9 10 12 14 15 15 15 13 12 12 11 10 9 8 8 8 9 10 11 12 12 12 11 10 9 9 8 8 7 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 6 nan
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nan 6 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 6 7 8 8 9 9 9 8 8 8 9 9 8 8 8 8 8 8 9 8 8 8 8 7 8 8 8 8 9 9 9 8 6 6 6 7 6 6 6 7 7 6 6 6 7 7 8 7 6 7 7 7 7 8 8 9 10 11 12 11 11 11 11 11 11 11 12 13 15 15 14 12 11 10 10 10 11 12 12 13 13 12 11 10 8 7 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 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 6 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 nan
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nan 5 5 5 5 5 6 6 6 7 8 8 9 10 10 11 10 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 10 10 9 9 8 6 6 6 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 8 8 9 9 8 8 8 8 8 8 7 7 7 8 7 7 7 8 8 7 6 6 6 6 6 6 7 7 7 8 9 10 11 10 9 8 8 8 8 8 9 12 14 15 15 14 12 10 8 6 5 6 7 9 10 10 10 10 8 7 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 nan
nan 6 5 5 5 5 6 6 6 7 7 8 9 9 10 10 9 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 7 7 6 7 7 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 9 8 8 8 8 8 8 7 7 7 8 8 8 8 7 6 6 6 6 6 6 6 6 6 7 7 9 10 11 10 8 8 8 9 9 10 11 12 13 13 12 12 11 9 8 5 4 4 4 5 7 8 10 9 9 8 7 6 5 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 7 7 6 6 5 5 5 4 4 5 5 5 5 5 5 nan
nan 7 6 5 5 5 6 6 7 7 7 7 8 9 10 10 8 7 7 7 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 6 7 7 8 8 8 8 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 8 7 7 6 6 6 7 7 7 7 6 6 6 6 7 8 10 11 11 10 9 9 9 10 10 10 10 10 10 10 9 9 10 10 8 5 3 2 2 4 6 8 9 9 9 9 7 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 5 5 5 nan
nan 9 7 5 5 6 7 7 7 7 7 7 7 9 10 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 7 8 9 9 9 8 7 7 6 6 6 6 6 7 8 8 8 8 7 7 7 7 8 9 9 10 9 9 9 8 9 9 8 8 8 9 9 9 9 9 9 9 8 7 6 6 6 7 7 6 6 7 7 7 7 7 7 6 7 7 7 8 9 10 11 12 12 11 10 9 9 8 8 8 7 7 7 7 7 8 8 8 7 5 3 2 2 3 5 6 8 10 10 9 8 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 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 5 5 5 5 5 5 5 6 6 6 6 5 nan
nan 9 7 6 5 6 7 8 8 8 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 6 7 8 9 9 9 8 8 7 7 7 7 7 7 7 8 9 9 9 8 7 6 7 7 8 9 10 10 9 9 8 9 9 9 9 9 10 10 9 9 10 10 10 10 8 7 6 6 6 7 7 7 8 8 8 7 7 6 6 6 6 6 7 8 9 10 11 12 12 12 11 9 8 8 7 6 5 5 5 5 4 5 6 7 7 5 3 2 2 2 4 6 9 10 10 9 8 7 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 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 5 nan
nan 9 8 6 5 5 6 8 9 9 9 8 8 8 9 8 7 7 7 7 8 8 8 7 7 7 7 8 8 7 7 7 7 7 6 6 6 7 7 8 9 9 8 8 7 7 8 8 8 8 8 8 9 10 9 8 8 7 7 8 8 7 8 9 9 9 8 9 9 9 10 10 10 10 10 10 10 9 10 10 10 8 7 7 7 8 8 8 9 9 9 8 7 7 7 6 6 5 6 7 8 9 10 10 11 11 11 11 10 10 9 8 5 4 4 3 3 3 4 6 7 6 5 3 2 2 3 4 6 8 10 10 10 9 8 7 7 7 7 7 7 6 6 5 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 6 6 6 6 6 6 6 5 nan
nan 9 8 6 4 4 5 7 8 9 10 10 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 8 7 7 7 7 6 6 6 5 5 5 5 6 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 10 10 9 9 10 10 10 8 8 8 8 9 9 9 9 9 8 8 7 7 7 6 6 7 7 8 8 8 9 9 9 9 10 11 11 11 10 8 6 5 4 3 3 4 5 7 7 6 5 4 3 2 3 4 7 9 10 11 11 10 9 8 8 8 8 7 6 6 5 5 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 5 5 5 5 6 6 6 6 6 6 6 6 5 5 nan
nan 9 8 6 4 4 5 6 8 9 10 11 10 10 9 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 7 6 6 6 6 6 6 5 5 5 6 8 10 10 10 10 9 9 8 8 8 8 7 7 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 9 8 8 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 7 8 8 7 7 7 8 10 11 12 12 12 9 7 5 5 5 5 6 8 8 8 7 5 4 4 3 4 5 7 9 11 12 11 11 10 9 9 8 7 6 6 6 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 7 7 7 6 6 5 5 nan
nan 9 8 7 5 4 5 6 8 9 10 11 11 10 9 7 6 7 7 7 7 7 7 7 7 7 7 8 8 9 7 6 6 6 7 7 7 7 6 6 6 7 9 10 10 10 9 8 8 8 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 9 9 8 8 7 7 7 6 6 6 7 8 10 12 13 14 13 11 8 7 6 6 7 8 9 10 9 8 7 6 5 5 5 5 7 9 11 12 12 12 11 10 9 8 7 7 6 6 6 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 5 5 5 5 6 6 6 6 7 7 6 6 5 5 5 nan
nan 10 9 8 6 4 5 6 8 8 9 10 10 9 8 7 6 6 7 7 7 7 7 7 7 7 6 7 8 9 8 8 7 7 7 8 8 9 9 8 7 7 7 8 8 9 9 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 8 7 7 8 9 9 8 7 7 7 7 7 7 6 7 7 9 10 13 15 16 16 15 12 10 9 9 9 10 10 10 10 10 9 8 6 5 5 6 8 10 11 12 13 12 12 10 9 9 8 7 6 6 6 5 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 6 6 6 6 6 6 6 6 5 5 5 nan
nan 10 9 8 6 5 5 6 8 9 9 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 9 9 8 7 8 9 10 10 10 8 7 6 6 8 9 10 11 12 12 11 9 7 7 7 8 8 8 8 7 7 8 9 10 11 11 10 9 9 8 7 6 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 11 14 17 20 21 20 17 14 12 11 11 11 11 12 12 11 10 9 7 6 6 6 7 8 10 12 13 13 12 11 10 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 9 7 6 5 6 7 8 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 7 7 6 7 7 8 9 9 8 7 8 9 10 10 10 9 8 6 6 7 9 10 11 12 12 12 9 6 5 5 7 7 8 8 8 7 8 8 10 11 11 11 10 9 8 7 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 11 14 18 22 24 23 20 17 15 14 14 13 13 13 13 12 11 9 8 6 5 5 5 7 10 12 13 14 13 12 10 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 9 9 8 7 6 6 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 8 8 7 6 7 7 7 7 7 7 7 8 9 10 11 10 9 7 6 7 8 9 10 10 10 10 9 6 5 6 6 7 8 9 8 8 8 8 9 10 10 11 11 10 9 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 7 7 7 7 8 7 7 8 8 8 9 10 12 16 20 22 23 22 21 20 21 20 18 16 15 14 13 11 10 8 6 5 5 5 7 9 11 13 13 12 11 10 9 8 7 6 6 6 6 5 5 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 9 10 9 7 6 7 7 7 7 7 8 9 9 8 7 6 7 8 8 9 9 9 8 8 7 6 6 6 6 6 6 6 6 6 7 8 9 10 9 8 8 8 8 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 11 11 10 10 9 9 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 10 13 16 20 22 22 22 24 25 25 22 19 16 15 14 12 10 9 8 6 5 6 6 8 9 10 10 11 11 10 9 8 7 6 6 6 5 5 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 9 10 9 8 7 7 7 7 7 8 8 9 9 8 7 6 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 6 5 5 5 6 7 8 9 9 9 9 9 9 9 9 8 7 6 6 7 8 8 8 8 8 7 7 7 8 7 7 6 7 9 11 12 12 12 11 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 8 7 7 8 9 9 8 8 7 6 7 7 7 7 8 9 11 13 15 16 17 18 21 23 22 21 19 17 16 15 13 12 10 8 7 5 5 5 6 7 8 10 11 11 11 10 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 10 9 9 9 9 8 8 8 7 6 6 7 8 9 9 9 8 6 6 7 8 9 9 8 8 8 9 10 10 10 10 9 8 7 5 4 4 4 5 6 8 9 10 10 10 10 10 10 9 6 5 5 7 8 8 8 8 8 8 8 8 8 7 6 5 6 7 9 11 12 13 12 11 10 10 9 9 8 9 9 9 9 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 9 9 8 7 6 7 7 7 7 8 8 9 9 10 10 11 11 12 15 17 18 18 18 18 17 16 15 12 10 9 7 5 4 4 5 7 9 11 12 13 11 10 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 nan
nan 9 9 9 8 8 8 8 8 7 6 6 7 8 9 9 10 9 7 6 6 7 8 9 10 10 11 11 12 12 11 10 9 8 6 5 4 4 4 5 5 6 7 9 10 11 11 11 11 10 8 6 5 6 7 7 7 7 8 8 8 9 10 9 8 7 6 6 7 8 10 12 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 9 9 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 12 13 15 16 17 18 18 17 15 13 11 9 7 5 4 4 5 7 10 12 13 13 11 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 7 nan
nan 9 9 8 8 8 8 9 9 8 7 6 6 6 7 8 9 10 8 7 6 7 8 9 10 11 12 11 11 10 9 9 8 7 6 6 6 6 6 6 5 5 5 7 8 9 10 11 11 10 9 7 6 6 6 5 5 6 7 8 10 11 11 11 10 9 7 6 6 6 7 9 11 13 13 13 12 11 9 9 8 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 9 9 9 10 10 11 10 10 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 9 11 12 13 12 11 12 14 14 15 16 18 18 17 16 14 12 10 8 6 5 4 5 7 10 12 13 13 12 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 7 nan
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nan 11 10 10 10 10 9 9 9 8 7 6 5 5 5 6 7 8 8 7 7 7 8 9 9 10 10 10 10 9 8 8 8 9 10 11 11 10 10 9 6 5 5 5 5 6 8 9 10 11 11 11 9 7 6 5 4 4 5 5 6 6 6 6 6 7 7 8 9 9 9 8 8 9 11 12 12 11 10 8 7 7 8 9 10 10 10 10 9 8 9 9 9 9 8 7 8 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 10 9 9 8 7 7 8 9 10 12 14 15 15 16 18 20 20 18 16 14 14 15 16 17 17 16 15 12 9 6 5 4 5 6 8 10 11 11 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 nan
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nan 12 12 11 10 10 9 9 9 9 9 10 10 10 9 9 8 7 6 5 5 6 7 7 8 8 9 9 10 10 11 12 12 12 11 10 9 8 9 10 10 11 11 10 9 8 8 8 8 7 8 10 11 12 12 12 11 10 9 9 9 8 8 9 11 13 14 14 12 10 9 10 10 9 8 7 7 8 8 9 10 10 10 10 10 9 8 9 10 10 9 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 11 10 11 11 9 7 6 7 9 12 13 12 10 9 10 10 11 11 11 12 11 10 9 8 7 5 4 3 2 1 1 2 3 5 7 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 nan
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nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 11 11 10 9 9 10 11 12 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 8 7 7 8 9 10 10 10 10 10 11 11 11 11 11 10 9 9 10 13 14 13 13 12 12 12 11 11 11 11 10 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 11 11 12 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 9 8 7 8 9 9 10 9 8 8 8 9 10 10 11 11 10 9 9 11 13 13 11 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 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 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 14 13 12 11 10 10 9 9 10 10 9 9 8 9 9 9 9 9 10 10 10 10 11 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 8 9 10 10 10 10 9 8 8 8 8 8 8 8 8 7 6 6 6 8 9 9 9 9 10 11 11 9 8 7 7 7 6 6 6 7 7 7 8 9 10 11 12 12 12 12 12 11 11 11 10 10 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 11 12 13 14 15 15 15 14 12 10 10 10 11 10 9 9 9 9 9 9 10 11 11 10 10 10 11 12 12 11 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 10 10 10 10 9 9 8 9 8 8 9 9 9 8 7 5 4 5 6 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 9 11 14 16 17 16 15 14 13 13 12 11 11 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 8 8 8 9 10 11 13 14 15 17 18 19 18 15 13 13 13 12 11 10 10 10 10 11 11 12 11 11 10 9 10 11 12 12 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 10 10 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 7 6 5 6 6 7 8 9 10 10 10 10 10 11 12 12 12 12 11 11 12 13 14 17 19 18 16 14 14 13 12 12 12 11 11 11 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 10 10 10 11 11 11 10 8 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 9 8 8 7 7 7 8 9 11 12 14 14 15 15 16 18 20 20 19 18 17 16 16 14 12 11 10 10 11 12 12 11 11 10 9 10 11 12 12 11 10 10 11 10 10 11 10 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 10 10 10 10 10 11 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 8 8 8 8 7 8 8 9 9 9 9 10 11 12 13 14 15 14 14 16 16 16 16 17 17 14 13 13 13 13 13 13 13 12 12 12 nan
nan 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 10 11 13 15 16 16 13 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 8 8 7 7 7 9 12 13 14 14 14 14 14 15 16 17 18 18 18 18 18 18 16 14 12 11 11 11 11 11 11 11 10 10 10 11 11 10 10 10 11 11 10 11 11 10 9 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 8 8 9 9 9 9 10 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 12 12 13 16 18 18 17 17 16 15 14 13 14 15 15 15 14 13 13 13 13 nan
nan 10 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 11 13 15 17 19 19 17 15 12 10 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 9 9 9 9 8 8 7 6 6 8 10 11 11 11 11 12 12 13 13 14 14 14 16 17 19 19 18 16 15 14 12 11 10 10 11 11 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 11 12 12 12 11 11 11 10 10 10 10 11 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 8 10 11 10 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 12 14 15 15 15 16 17 17 16 14 13 13 14 13 13 12 12 13 13 nan
nan 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 7 8 9 9 10 11 11 13 14 15 16 16 17 18 18 16 14 11 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 6 3 1 1 2 5 6 7 8 9 10 11 11 11 11 11 12 14 16 17 18 19 18 18 17 15 12 11 11 11 11 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 11 12 12 11 11 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 8 10 10 9 8 7 7 7 8 9 10 11 11 10 8 8 8 9 9 10 10 9 10 10 11 11 11 12 13 15 14 12 8 5 5 6 8 9 10 11 12 12 nan
nan 10 10 11 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 10 10 11 11 12 13 13 13 13 14 16 17 17 17 15 12 10 8 7 7 8 8 9 9 10 11 11 10 10 10 9 8 7 7 7 7 7 7 7 7 5 1 -2 -3 -3 -2 -1 1 2 3 5 8 9 10 10 10 10 10 11 13 14 15 16 18 18 18 17 15 14 13 11 11 11 11 12 12 11 11 11 10 9 9 8 8 8 8 9 10 11 10 9 9 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 9 7 7 9 10 9 6 5 5 6 7 8 10 11 13 12 11 9 8 8 9 10 10 10 10 10 10 9 9 9 10 11 11 9 5 1 0 2 4 7 9 10 12 12 12 nan
nan 10 10 10 10 9 9 9 8 8 9 9 9 10 10 10 11 11 11 11 10 10 10 9 10 10 11 12 12 12 13 14 16 17 16 14 11 8 7 7 7 8 9 10 11 12 12 11 11 10 9 8 6 5 5 5 5 5 6 7 5 3 0 -1 -2 -2 -2 -2 -2 -3 -1 1 4 6 8 8 8 8 9 9 9 10 11 13 15 16 17 17 17 16 14 11 10 9 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 9 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 10 11 10 7 5 3 5 7 9 9 10 12 13 13 12 10 9 9 9 9 9 9 9 10 10 9 9 9 10 9 8 4 1 -0 2 6 8 10 11 12 12 12 12 nan
nan 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 11 10 9 8 9 10 11 11 11 12 13 14 15 16 15 13 10 9 9 8 8 9 10 11 11 10 10 10 9 8 7 6 4 3 3 4 5 6 8 8 7 5 5 5 4 4 4 3 1 -2 -3 -2 1 3 5 7 7 8 8 8 8 8 9 10 12 13 14 16 17 16 14 12 11 11 10 10 10 10 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 10 8 6 5 7 10 11 11 11 12 13 13 12 10 9 8 8 8 8 9 9 10 10 10 10 10 9 7 4 -0 -1 1 5 9 11 12 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 10 8 8 9 10 11 11 11 12 12 12 13 15 15 14 12 11 10 9 8 8 9 10 9 9 8 8 8 8 8 8 7 6 5 6 7 8 10 10 10 9 8 9 9 10 11 12 11 6 2 -1 -2 -1 1 3 6 7 8 8 8 8 8 9 9 10 11 13 14 15 15 15 14 13 12 11 10 9 10 11 11 11 10 9 8 8 8 8 9 9 8 8 7 7 7 7 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 10 11 11 10 10 10 12 13 12 12 12 12 12 12 12 9 8 7 6 7 8 10 11 11 11 11 10 9 7 2 -1 -3 -1 3 7 10 11 12 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 9 8 8 9 10 10 11 11 11 11 11 12 13 14 14 12 11 9 8 7 7 8 9 9 8 7 6 7 8 9 10 10 10 9 9 9 10 11 11 11 10 9 8 8 7 10 13 14 14 12 7 2 -2 -2 -1 2 5 7 7 7 7 7 8 8 9 9 10 12 13 14 14 15 15 15 13 11 9 9 10 10 11 10 9 9 8 8 9 9 9 8 7 7 6 7 8 10 11 11 10 10 9 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 7 8 9 10 11 12 12 13 14 14 12 12 12 11 11 11 10 8 7 6 6 8 10 11 12 12 11 11 11 10 6 1 -1 0 2 5 8 9 11 11 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 7 7 7 8 9 9 10 10 10 10 10 10 12 14 14 13 10 8 7 7 6 7 8 8 9 7 6 7 8 9 10 10 10 10 10 9 9 10 11 11 10 9 7 5 2 2 6 10 13 14 12 7 2 -0 -2 -1 1 4 5 5 5 5 5 6 7 7 8 9 11 12 13 14 14 15 14 13 11 10 10 10 10 10 9 9 9 9 9 9 8 7 7 8 8 9 10 11 11 10 9 9 9 9 8 8 8 9 9 8 9 9 9 9 10 10 10 10 9 8 8 8 9 9 10 11 11 11 12 13 12 10 9 9 8 8 9 9 8 8 7 7 9 10 12 12 12 12 12 12 11 9 8 7 7 6 6 7 9 10 11 12 12 12 12 12 nan
nan 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 7 5 5 6 8 8 8 9 9 9 9 8 9 11 13 14 13 11 10 8 7 6 6 7 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 7 4 0 -1 1 4 8 10 10 8 6 4 1 -0 -0 0 1 2 2 2 2 3 4 4 4 4 7 9 11 12 12 13 13 13 12 12 11 10 10 10 9 9 9 10 9 9 9 9 10 10 10 11 12 11 10 9 8 8 9 10 10 10 10 9 8 8 7 8 9 10 10 11 10 9 8 7 7 8 10 10 10 10 9 9 9 8 6 6 6 6 6 7 9 9 10 9 8 8 10 11 12 12 12 12 12 11 11 12 13 14 11 8 6 6 8 10 11 12 12 12 12 13 nan
nan 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 7 5 4 5 7 8 8 8 8 8 8 8 8 10 12 14 14 13 12 11 9 8 8 8 8 9 9 10 10 10 9 7 7 7 6 7 8 8 9 9 9 9 9 8 6 4 3 3 4 6 7 8 8 7 6 6 5 4 3 1 0 0 0 1 1 3 3 1 -0 1 5 8 9 10 11 11 12 12 12 12 12 12 11 10 9 9 10 11 11 12 12 12 12 11 11 12 11 10 8 8 10 11 12 11 10 8 7 6 6 8 9 10 10 9 8 8 7 7 8 9 10 11 11 10 10 8 8 6 5 4 5 5 6 8 9 11 12 12 11 10 10 10 11 12 12 11 11 11 11 10 12 13 12 8 5 4 5 8 11 11 12 12 13 13 13 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 8 8 8 7 6 5 5 6 7 7 7 7 8 8 7 8 8 10 12 13 13 12 11 10 10 9 8 8 8 8 8 9 9 9 8 7 7 6 6 7 8 9 9 9 8 9 10 9 8 8 8 7 7 8 9 9 8 6 7 9 10 9 7 4 4 3 3 4 5 5 3 1 -0 1 4 7 8 8 9 9 9 10 12 14 15 14 12 9 10 11 12 13 14 14 13 11 9 10 11 11 10 9 10 12 12 12 10 7 5 3 4 7 10 11 10 7 5 4 5 6 9 10 11 12 12 11 10 10 9 8 7 6 6 6 7 8 9 10 12 14 14 13 11 10 10 11 11 11 11 11 11 10 10 10 9 6 3 1 2 6 10 12 13 13 13 14 14 14 nan
nan 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 6 5 5 6 6 6 6 7 8 8 8 8 7 8 9 11 11 10 9 10 10 9 8 7 7 7 7 8 8 8 8 8 7 6 6 7 8 9 9 8 8 9 10 10 10 10 10 9 8 9 11 11 9 7 7 9 11 11 10 9 8 7 6 7 8 8 7 5 4 3 5 6 7 8 7 6 6 7 10 14 16 15 12 10 10 11 12 14 14 14 13 10 9 10 11 11 10 10 11 11 11 10 8 5 3 2 4 10 13 12 9 5 3 5 8 11 13 13 13 12 11 10 10 10 10 10 9 9 9 8 7 8 9 10 13 15 15 13 12 10 9 10 10 10 11 11 10 10 10 9 7 5 3 2 4 9 11 13 14 14 15 15 15 15 nan
nan 8 8 7 7 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 6 4 4 4 5 6 6 7 7 8 9 9 8 7 7 8 9 9 9 8 9 9 9 9 9 8 9 9 9 9 9 9 8 8 7 6 6 7 8 8 9 9 9 10 10 10 10 9 6 5 8 12 14 12 10 9 9 10 11 10 10 9 8 7 8 9 9 9 8 7 7 7 8 9 9 8 6 6 7 9 12 13 12 10 10 11 12 13 14 14 14 13 11 10 11 11 11 11 10 10 9 8 8 7 6 5 5 8 12 13 12 9 7 9 12 14 16 14 13 12 11 10 10 10 11 12 12 11 10 9 7 7 7 8 10 13 15 14 12 10 9 9 9 10 10 11 11 10 10 10 9 9 8 7 6 8 10 12 14 15 15 15 16 16 16 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 5 4 4 4 5 6 6 7 8 9 9 10 9 9 8 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 7 7 7 8 9 10 11 10 10 10 9 7 2 1 5 11 14 15 13 11 11 11 11 10 9 8 8 8 9 10 10 9 8 8 9 9 10 10 10 10 10 10 10 11 12 12 11 10 11 12 13 14 14 14 14 13 12 12 12 11 11 10 9 8 8 7 7 8 8 8 9 11 13 13 12 12 12 14 14 13 11 9 9 9 10 11 12 12 12 13 12 12 10 8 7 7 7 8 10 13 13 12 11 9 8 9 9 10 11 11 11 10 10 10 10 11 11 10 9 10 10 12 14 15 15 15 15 15 15 nan
nan 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 4 3 3 4 5 6 7 7 8 9 10 11 11 10 8 7 6 6 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 10 10 10 9 9 8 5 0 -1 3 7 11 14 15 14 13 12 11 11 9 8 8 9 9 10 10 10 9 9 9 9 9 8 9 10 11 13 13 13 13 13 12 12 13 14 15 15 15 14 14 14 13 13 12 12 11 10 9 8 8 8 8 9 9 9 10 11 11 11 11 11 12 12 10 8 7 7 7 8 9 10 11 11 12 12 12 12 10 9 8 8 7 8 10 11 11 11 10 9 9 9 10 11 11 11 10 9 10 10 11 12 11 10 10 10 10 12 13 13 13 13 13 13 13 nan
nan 9 9 9 9 9 9 8 8 7 7 6 6 7 7 7 7 7 7 6 4 2 2 2 4 6 7 7 7 8 9 11 12 12 12 9 7 6 6 7 7 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 8 7 7 7 6 3 -1 -1 2 5 8 12 15 16 16 14 12 10 9 8 8 9 10 10 11 11 10 10 10 8 5 4 4 6 8 11 12 12 12 11 10 11 12 14 15 15 14 13 13 13 13 13 12 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 6 5 6 8 9 9 9 9 9 10 10 11 12 12 12 11 10 9 9 8 8 9 10 11 11 10 10 9 9 10 10 10 10 9 9 10 10 11 11 10 10 11 10 10 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 8 8 8 7 7 6 6 7 7 7 7 6 6 5 4 2 1 1 3 5 6 7 7 8 9 11 12 14 13 11 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 9 8 7 6 6 6 6 6 2 -1 -0 2 5 8 10 13 16 17 15 11 9 8 8 10 10 10 10 11 12 12 11 11 8 4 2 2 3 6 8 8 9 9 8 7 7 7 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 6 6 6 7 8 8 6 6 6 6 6 4 5 8 10 11 11 11 10 10 10 11 11 12 12 11 10 10 10 10 9 9 9 9 10 10 10 10 9 8 9 9 9 9 9 10 11 11 11 11 11 11 11 9 9 9 9 9 8 8 8 9 9 nan
nan 9 9 9 9 8 8 8 8 7 7 6 6 7 7 7 6 6 6 6 5 4 2 1 2 5 6 7 7 8 9 10 12 14 14 12 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 9 8 8 7 7 7 8 6 2 -0 0 3 6 7 9 11 15 17 16 11 8 6 7 9 10 10 11 12 12 11 11 10 9 7 6 4 3 5 6 6 7 8 7 6 5 5 5 6 6 6 7 7 7 7 7 6 6 7 7 7 6 6 5 5 6 8 10 11 10 8 8 8 8 7 6 7 9 10 11 11 10 11 11 11 12 12 11 11 10 10 10 10 11 11 10 10 9 10 10 10 10 8 8 8 9 9 10 11 11 12 12 12 12 11 11 10 9 8 7 7 7 7 7 7 8 9 nan
nan 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 6 3 1 1 4 6 7 8 8 8 10 11 13 14 14 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 7 7 8 10 11 12 11 10 9 9 6 2 0 1 4 7 7 8 11 15 18 15 11 7 5 5 7 9 10 12 12 11 9 9 9 10 11 10 8 5 5 5 6 8 9 9 9 8 7 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 7 7 9 12 14 13 11 10 10 10 10 9 8 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 9 8 8 8 9 10 11 12 13 13 13 13 12 12 11 9 9 8 7 7 7 8 9 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 7 5 2 1 3 6 7 8 8 8 9 10 13 15 14 13 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 7 5 5 7 10 12 15 14 12 11 9 6 2 0 2 5 6 7 8 11 15 17 15 11 7 5 6 8 10 12 13 11 9 7 7 9 11 12 11 9 7 6 6 7 9 11 12 12 11 8 6 5 5 6 7 7 7 8 8 9 9 9 8 8 8 9 9 11 13 15 16 14 12 11 11 11 9 8 8 9 10 10 10 10 10 9 8 9 9 10 11 11 12 12 12 12 11 10 10 11 11 12 11 11 9 8 8 8 9 10 11 12 13 14 13 13 12 11 10 10 10 9 9 10 12 13 14 13 12 12 nan
nan 7 7 8 8 8 8 8 7 8 8 8 8 7 7 6 6 6 6 7 8 8 7 4 2 3 5 6 7 8 8 8 10 12 14 14 13 11 9 10 10 10 9 9 9 10 11 11 12 12 12 12 11 10 9 8 5 3 4 6 8 11 13 13 12 11 9 5 2 2 4 6 6 7 8 11 15 16 15 12 9 8 9 10 12 13 12 10 9 7 8 9 10 11 10 8 7 6 7 9 11 12 12 12 11 8 6 5 5 6 8 9 10 11 12 13 13 12 9 8 10 11 13 14 15 16 16 15 13 12 11 10 8 8 8 10 10 10 10 9 9 8 8 9 10 12 13 13 14 14 13 12 10 9 9 10 11 12 11 10 9 8 7 7 7 9 10 12 13 13 13 13 12 11 10 10 10 9 10 14 17 18 17 16 16 16 nan
nan 7 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 5 3 4 5 6 7 8 8 10 11 13 14 13 10 9 9 9 9 8 8 8 9 11 11 11 11 12 13 13 12 11 9 6 3 3 4 5 8 10 10 10 9 7 5 4 5 6 7 7 7 8 11 15 17 17 14 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 6 6 7 10 12 13 12 10 8 7 6 6 6 8 9 11 13 14 14 15 15 12 9 9 11 14 16 17 19 20 20 18 16 13 11 10 9 9 10 10 10 10 10 10 10 10 11 11 12 13 13 14 14 14 13 11 9 8 7 8 10 10 10 9 9 8 7 6 7 8 10 11 11 11 12 12 12 11 10 9 8 8 11 13 15 15 15 16 17 19 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
6 5 4 4 3 3 2 2 2 1 0 0 0 0 0 0 1 2 3 3 3 3 3 4 4 4 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 0 0 1 1 3 12 43 117 221 354 531 723 905 1163 1471 1669 1741 1675 1504 1297 1102 925 765 621 500 419 360 317 281 246 212 186 163 147 143 149 164 181 187 155 120 90 62 37 18 6 1 0 0 2 7 11 13 15 18 21 24 26 24 23 23 25 26 25 22 17 16 18 19 22 22 20 17 12 9 8 8 10 11 11 11 10 9 8 7 6 5 5 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3
6 6 5 4 3 3 4 3 2 2 1 0 0 0 0 0 1 2 3 3 3 2 2 2 2 3 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 0 0 0 0 0 4 21 55 106 171 271 441 623 864 1098 1273 1383 1380 1291 1181 1058 924 797 675 571 482 408 349 307 267 232 206 186 174 168 172 184 205 230 206 165 122 82 50 26 12 5 2 0 2 6 10 13 15 18 21 24 23 22 21 20 23 28 31 29 27 26 26 27 25 23 20 16 11 8 8 9 11 12 12 12 11 10 9 7 6 5 5 4 3 3 4 5 5 4 4 3 3 3 3 4 4 4 3 4 5 5
11 8 6 5 5 5 6 4 3 2 1 1 0 0 0 0 1 1 2 2 2 2 2 1 1 2 3 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 1 13 39 67 96 151 261 417 646 824 985 1093 1123 1105 1070 1020 935 836 735 641 552 467 394 348 300 258 228 210 201 195 195 207 224 231 221 197 156 105 65 34 17 9 4 1 3 6 9 12 14 17 21 23 25 24 20 17 19 22 30 34 33 31 35 37 35 31 23 17 12 10 11 13 15 15 13 11 11 10 9 7 6 5 4 3 4 7 9 9 9 7 6 5 5 5 5 5 6 7 6 6 7 7
16 11 8 6 7 9 9 6 3 1 1 0 0 0 0 0 0 1 1 2 2 2 2 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 0 0 0 0 0 0 0 0 0 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 29 49 63 84 158 238 395 579 744 851 904 936 970 970 948 893 814 723 629 539 450 396 342 292 254 234 230 229 229 232 230 224 221 214 184 133 88 53 25 11 5 3 2 6 9 11 11 14 18 21 22 21 19 17 18 21 25 30 32 32 39 35 30 26 19 14 13 16 18 19 20 17 14 11 9 9 7 5 4 4 5 6 9 11 13 13 12 10 9 8 7 7 7 7 7 7 7 7 8 7
19 14 10 8 7 8 9 7 3 1 1 1 0 0 0 0 0 1 1 2 3 3 1 1 1 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 4 13 24 31 28 85 142 253 409 541 616 695 790 905 982 1005 971 903 817 715 620 529 453 386 327 283 265 264 263 258 251 236 220 224 233 218 177 131 90 44 16 6 2 1 4 10 11 10 12 16 18 21 21 21 19 18 19 20 23 28 25 25 21 15 11 10 11 14 19 22 24 24 20 14 10 8 7 5 4 4 5 7 11 14 15 16 16 15 13 12 11 9 8 8 8 7 7 7 7 7 6
18 15 10 6 4 4 6 4 2 1 1 1 0 0 0 0 0 0 0 1 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 1 4 12 17 23 44 92 185 292 370 445 536 678 836 945 985 986 963 901 807 712 619 535 466 395 333 312 305 302 302 295 277 267 274 282 271 229 178 125 71 30 9 1 1 2 6 9 11 13 15 16 19 21 22 21 22 23 24 21 22 16 12 10 8 9 11 14 18 17 18 21 22 20 14 9 7 6 4 4 5 8 10 14 16 16 17 17 16 14 13 11 9 9 7 7 7 7 6 6 7 7
16 14 9 5 3 1 2 2 2 1 2 1 1 1 1 1 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 1 6 10 14 23 45 92 153 215 344 481 632 709 791 889 951 980 950 880 794 718 642 563 484 414 380 363 363 365 354 334 321 326 343 335 289 229 162 96 45 17 2 1 2 3 6 10 15 18 19 20 22 22 23 26 31 35 30 26 21 16 14 16 19 21 22 25 23 23 24 24 20 13 8 7 5 4 5 7 11 13 16 17 16 16 16 15 14 11 9 8 7 7 7 8 9 9 9 8 9
16 14 9 6 4 2 2 3 4 5 4 3 3 2 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 1 3 6 10 16 29 57 89 193 331 449 509 611 765 864 933 946 926 872 797 717 641 564 499 464 436 433 428 411 396 389 389 414 409 363 292 211 131 64 28 8 2 1 2 4 8 16 21 22 21 20 20 22 27 33 36 35 33 30 28 28 30 31 32 29 30 29 28 27 27 22 12 8 6 6 5 6 8 12 14 15 17 17 17 15 13 12 9 7 7 7 8 9 10 10 9 8 8 8
14 14 12 8 6 4 4 5 6 7 7 6 6 3 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 1 6 8 7 8 16 27 78 202 353 445 494 622 739 837 886 916 905 855 786 718 661 599 558 520 502 498 495 485 465 463 493 492 449 368 266 182 100 52 21 6 2 2 3 6 13 17 18 19 17 15 16 20 24 26 29 30 30 31 34 36 35 35 32 30 28 27 26 28 22 14 8 7 6 6 6 9 12 13 15 17 18 17 14 12 10 8 7 8 10 10 10 9 8 7 6 6 7
14 15 14 12 9 7 6 8 9 10 9 10 10 10 9 8 6 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 0 0 0 0 0 1 5 10 21 100 210 293 380 500 565 668 749 807 839 847 836 813 798 756 694 622 562 539 562 580 558 564 575 579 549 458 329 250 167 97 44 14 4 2 2 4 8 13 15 15 15 14 14 16 19 20 22 23 24 26 28 32 32 32 30 26 24 24 22 25 23 16 10 7 6 5 6 9 12 14 16 18 19 17 12 10 9 8 9 10 12 12 11 11 9 6 6 7 8
15 15 14 12 11 10 9 10 11 12 10 10 11 11 10 9 8 7 6 5 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 0 0 1 9 7 4 30 88 170 294 408 403 452 524 613 709 776 818 897 911 883 815 718 626 581 626 653 674 679 678 680 660 558 416 324 243 158 80 27 10 4 2 3 5 9 12 14 15 14 13 14 16 18 18 18 19 20 22 24 26 26 25 24 23 22 23 25 25 20 12 8 5 5 6 9 12 14 17 18 17 15 12 9 8 8 11 11 12 11 10 10 11 8 8 9 10
14 14 13 14 15 13 12 12 13 12 11 10 11 11 10 7 6 6 8 8 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 5 1 5 19 46 140 256 288 305 352 452 605 725 851 951 979 948 865 765 721 713 784 851 878 864 831 799 775 665 527 418 324 229 134 57 20 10 4 2 3 5 8 11 13 11 10 12 14 14 14 14 16 18 20 21 22 23 23 22 22 21 22 23 24 23 15 8 6 5 6 9 12 15 18 18 17 14 11 8 7 9 11 11 12 11 9 9 10 11 10 11 11
13 14 14 13 14 13 14 15 13 11 7 7 9 8 6 4 3 3 6 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 70 149 210 255 309 400 525 646 802 915 942 899 813 746 842 959 1077 1145 1154 1128 1069 993 932 813 681 561 438 315 209 114 48 22 11 6 4 3 4 5 7 7 7 8 10 11 11 13 15 18 20 20 19 20 22 22 21 20 19 20 21 22 19 12 8 6 7 9 12 16 19 19 17 14 11 8 6 9 10 11 11 11 11 11 11 12 12 12 13
12 13 13 11 11 11 11 11 10 7 3 3 6 7 5 2 1 1 3 4 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 76 129 177 239 329 427 553 694 773 795 786 758 820 1007 1116 1164 1250 1348 1347 1285 1241 1162 1023 866 718 578 440 303 199 105 52 28 16 9 3 3 3 3 4 5 6 7 9 10 12 15 18 19 18 17 19 21 22 21 19 19 20 21 21 20 16 11 8 8 10 13 18 21 21 19 15 11 8 7 8 9 9 9 9 11 14 13 14 14 14 14
11 10 11 9 5 4 4 4 3 2 2 2 1 2 1 1 0 0 1 1 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 32 54 79 130 201 289 387 505 589 631 675 725 874 1010 1039 1106 1273 1417 1465 1385 1423 1399 1267 1092 934 786 604 416 289 185 110 60 29 18 9 5 3 2 2 3 4 7 8 9 11 14 17 19 17 18 21 23 22 21 19 19 19 19 18 18 16 12 9 7 9 14 19 21 22 21 16 11 8 8 9 10 9 9 8 10 15 16 15 15 14 13
9 6 5 4 2 1 0 1 1 1 0 2 1 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 52 96 154 195 256 368 462 514 600 771 846 861 971 1223 1482 1571 1419 1452 1499 1458 1321 1138 953 777 567 407 286 192 120 57 34 24 15 9 5 2 2 4 6 7 9 12 14 16 18 19 21 23 23 21 19 18 19 18 18 17 18 17 14 10 8 10 16 22 26 25 25 20 15 10 8 8 9 8 8 8 11 15 17 16 15 14 14
4 2 1 1 0 0 0 0 0 1 2 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 16 38 58 74 106 164 219 302 381 525 600 621 663 720 925 1206 1208 1280 1416 1496 1485 1370 1194 1012 793 595 433 293 198 122 72 42 26 18 12 5 3 3 4 6 8 11 13 15 17 18 19 21 22 21 20 19 19 19 18 18 18 17 15 12 10 12 18 27 30 28 26 23 19 14 9 8 9 10 9 9 10 14 16 15 15 15 14
1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 15 25 31 41 62 102 162 213 283 333 336 321 287 307 521 717 917 1114 1238 1425 1466 1400 1255 1064 853 659 441 311 206 127 72 40 28 21 11 7 5 3 4 5 8 10 13 15 17 18 19 20 20 22 20 20 20 19 19 18 17 15 12 10 12 20 28 27 25 25 22 20 15 9 6 7 8 9 8 9 13 17 16 16 15 14
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 5 8 12 20 23 45 79 118 155 185 204 208 198 176 188 281 441 621 875 1066 1214 1333 1403 1362 1158 953 725 522 334 199 118 69 46 31 21 15 10 5 4 4 5 7 10 13 15 16 17 18 19 21 21 21 20 20 20 20 18 16 13 10 13 23 26 23 21 20 18 16 13 9 6 6 8 8 7 8 12 17 17 16 15 14
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 3 10 8 13 28 49 74 100 122 134 158 166 150 134 143 204 391 576 823 1100 1363 1521 1414 1256 1047 780 508 305 193 122 79 50 31 23 19 13 8 5 5 5 7 10 12 14 16 17 18 19 19 19 19 20 22 22 20 16 11 10 18 24 22 19 18 17 15 13 10 7 6 7 8 8 7 8 12 15 16 15 13 13
0 0 0 0 0 0 0 0 0 0 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 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 27 48 68 87 113 138 150 130 80 79 132 238 439 751 1106 1353 1449 1461 1325 1051 736 493 315 197 129 84 53 35 27 22 17 11 8 6 6 8 10 13 14 16 17 18 18 19 20 21 23 24 22 18 15 17 21 23 20 18 17 17 14 11 9 7 7 8 9 9 9 8 10 14 16 14 12 12
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 1 0 0 0 0 0 0 0 0 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 22 38 52 66 92 134 131 89 64 63 80 140 334 686 1010 1294 1481 1487 1312 1042 766 519 325 207 138 94 66 47 33 27 20 15 11 9 8 10 12 13 15 16 17 19 21 22 23 24 25 23 19 18 22 24 24 22 19 18 17 14 11 8 8 9 12 13 13 11 10 11 14 17 14 13 11
0 0 0 0 0 2 3 2 5 5 3 2 3 4 5 4 2 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 28 38 52 95 99 81 61 51 53 71 131 339 660 1012 1309 1463 1463 1333 1061 788 534 345 222 145 103 73 52 38 28 22 17 13 10 10 11 13 15 16 16 20 22 24 25 26 26 24 21 22 24 26 26 25 23 21 18 15 11 9 10 14 17 16 16 15 14 13 13 15 13 11 9
0 0 0 0 0 1 5 8 8 8 8 8 8 8 8 8 5 2 0 0 0 0 0 1 1 2 2 1 0 0 1 1 0 0 1 1 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 1 3 8 16 25 40 60 76 74 61 53 54 61 74 132 304 637 1052 1365 1491 1466 1282 1059 811 564 354 215 152 111 80 57 41 30 23 19 15 13 12 13 15 16 17 20 23 25 26 27 27 24 22 23 25 27 26 26 26 24 19 14 10 10 13 18 19 22 22 20 17 13 13 13 11 9 7
0 1 2 3 4 6 11 14 13 14 13 12 12 14 15 13 7 3 1 1 0 0 2 4 5 6 6 4 2 2 0 0 0 1 2 4 4 5 4 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 1 4 9 18 33 46 72 85 78 68 59 66 70 69 120 323 717 1172 1478 1648 1505 1282 1053 802 542 359 247 170 119 84 60 44 32 27 22 18 15 14 16 18 20 22 23 24 25 25 25 23 21 22 25 26 25 25 25 23 18 13 11 14 22 29 33 32 30 22 17 14 12 11 9 9 9
1 4 5 7 9 11 14 17 18 19 20 22 23 22 21 18 11 6 5 5 3 4 7 10 11 12 12 11 9 9 7 7 5 5 7 9 8 9 8 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 1 3 6 13 25 34 54 76 90 99 82 72 71 69 77 138 323 768 1211 1486 1559 1470 1283 1053 790 584 414 278 180 123 88 66 49 37 29 24 21 19 19 18 19 20 22 23 24 23 23 23 22 23 24 24 24 24 24 23 19 15 15 21 33 41 37 29 30 23 17 14 10 9 10 11 13
4 6 9 11 13 14 15 18 20 23 24 25 25 25 24 21 16 13 12 12 10 10 13 16 18 18 17 16 18 19 18 18 17 17 16 16 13 12 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 1 3 5 12 22 37 59 84 114 105 95 93 88 75 63 124 427 854 1278 1535 1581 1497 1291 1072 853 631 431 286 197 134 93 69 52 39 33 29 27 24 20 19 21 22 23 23 23 23 23 22 22 23 24 24 25 25 23 19 16 20 30 42 46 37 23 23 21 16 12 9 10 15 18 16
4 8 12 15 16 18 19 23 24 26 27 26 26 25 24 23 20 16 15 16 15 15 19 22 25 25 24 24 25 26 24 22 20 19 19 20 17 13 11 9 7 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 1 4 10 23 39 63 86 105 124 132 116 91 61 73 223 496 827 1127 1354 1422 1370 1267 1104 896 697 517 352 218 138 100 79 64 52 44 36 31 28 25 25 24 25 25 25 25 24 23 24 26 27 26 25 25 22 19 20 27 38 50 54 38 27 21 18 13 9 9 13 17 19 17
5 8 13 16 19 22 24 26 27 28 28 28 26 24 26 25 21 19 18 18 19 19 22 26 29 30 29 29 28 27 23 20 18 17 17 19 16 13 10 9 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 0 0 0 0 0 0 1 4 10 20 39 59 88 119 139 118 102 79 78 132 254 457 708 922 1114 1295 1424 1418 1247 1051 833 607 384 224 155 114 93 80 68 55 44 36 31 28 27 27 28 28 28 29 30 29 30 29 28 25 28 24 23 26 32 41 51 52 40 27 20 16 13 11 14 16 18 19 19
5 6 11 18 24 23 28 28 28 29 30 30 28 25 28 26 23 22 21 21 21 20 23 26 29 30 31 31 30 26 21 18 18 16 14 14 13 11 9 7 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 1 4 8 14 25 46 76 114 109 104 86 73 83 127 239 436 610 819 1088 1336 1445 1455 1328 1148 904 626 393 252 170 132 107 88 72 56 43 35 33 32 31 31 30 31 32 35 35 34 32 33 31 29 26 26 29 33 39 50 52 41 27 20 18 18 17 19 23 25 25 23
0 1 7 16 24 23 28 29 30 33 36 37 33 29 32 30 28 26 26 25 25 25 24 24 25 28 32 34 33 29 23 19 18 15 12 13 13 12 10 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 1 2 2 2 4 20 57 83 98 90 68 70 122 195 305 416 577 808 1033 1192 1287 1314 1271 1132 918 672 426 283 196 146 114 88 68 54 45 41 39 37 36 35 37 37 36 35 34 34 35 33 30 29 31 35 37 42 51 54 42 26 21 25 31 32 34 36 34 31 27
1 0 5 14 22 22 24 29 31 35 39 41 36 34 36 34 31 29 29 29 31 31 28 25 24 27 33 39 38 32 25 20 19 17 15 16 17 16 14 10 6 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 0 1 2 0 3 22 48 79 98 91 104 141 191 273 346 425 566 713 834 888 1039 1203 1270 1226 1056 726 475 316 216 152 112 87 72 61 53 47 42 41 42 43 41 38 35 33 34 34 33 33 35 37 42 43 46 52 47 33 27 28 38 46 50 50 47 39 36 30
2 0 4 12 22 27 29 32 33 35 39 40 36 37 38 37 34 32 31 34 38 37 34 29 27 30 34 41 35 29 25 22 20 20 20 21 22 23 23 19 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 15 28 50 81 101 124 140 173 241 322 365 405 458 514 574 735 1001 1275 1414 1389 1121 800 534 333 215 158 123 100 83 68 57 51 49 48 47 44 39 37 34 34 35 34 35 39 41 46 47 50 50 44 34 31 35 44 52 56 56 51 42 38 33
2 3 5 11 20 29 32 34 32 30 31 33 36 39 40 39 37 35 37 43 43 39 37 37 37 34 36 39 36 32 29 28 27 27 29 29 30 31 28 20 15 12 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 1 3 10 18 25 38 59 85 131 179 202 232 306 368 338 322 355 418 511 725 1090 1373 1497 1415 1189 872 540 367 258 188 142 111 90 76 68 60 54 50 47 41 40 37 35 36 38 40 40 43 47 49 49 46 40 37 36 39 44 48 48 48 46 44 40 36
10 10 10 13 23 28 28 26 26 27 30 33 38 39 40 40 38 34 35 40 41 39 37 37 35 28 35 40 43 44 42 39 38 36 37 38 36 31 21 11 13 14 14 11 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 1 3 10 19 25 34 48 59 97 151 192 224 285 362 344 306 280 271 292 435 748 1128 1437 1573 1486 1144 843 596 404 272 195 142 121 101 85 71 61 54 53 50 47 43 40 41 42 43 44 44 45 46 43 39 37 37 39 44 50 54 53 51 52 50 45 39
14 14 16 20 27 23 22 24 28 31 32 33 40 39 39 39 36 31 31 38 39 38 38 39 37 38 41 44 45 43 41 42 41 41 42 43 38 27 14 11 14 17 19 20 17 11 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 1 5 11 16 29 46 53 69 101 143 192 252 328 351 327 275 212 218 284 488 805 1124 1358 1600 1303 1039 787 569 402 297 215 165 128 101 82 72 64 61 59 55 50 46 44 43 42 44 47 46 41 39 39 38 45 53 58 62 73 74 68 61 57 50 45
11 14 18 24 25 25 27 29 32 36 36 34 40 39 38 38 37 35 34 44 41 37 38 42 45 48 51 49 48 47 45 43 43 45 47 47 40 27 15 17 18 19 23 27 29 27 12 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 2 6 18 31 42 58 82 114 151 203 267 319 342 316 215 220 241 329 504 746 966 1187 1170 1080 965 792 615 441 305 223 167 126 103 90 78 69 65 62 57 53 50 50 53 58 54 43 35 40 45 54 67 73 72 73 77 73 66 62 60 53 48
14 16 17 23 26 29 29 31 36 43 44 43 45 43 40 42 47 50 50 46 40 37 39 44 52 63 67 60 53 52 52 48 47 49 49 47 39 25 18 20 22 23 25 31 35 34 24 13 4 0 0 0 0 0 0 0 0 0 0 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 1 6 14 25 40 59 80 110 146 184 230 295 319 270 243 229 229 269 425 621 786 908 1021 1098 997 849 657 464 322 239 176 134 112 93 82 76 70 65 62 63 67 72 69 52 37 41 58 78 95 97 88 79 75 72 68 63 60 58 55 51
17 21 23 27 32 36 37 41 48 55 60 61 61 57 53 55 64 65 51 36 30 33 42 55 70 75 74 67 61 59 56 51 50 50 49 43 32 21 20 23 22 21 23 27 30 33 30 22 11 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 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 2 5 11 20 45 69 87 102 120 144 210 256 270 263 241 207 170 229 330 463 595 724 918 980 940 830 657 470 363 265 191 143 116 104 96 83 77 74 78 84 85 70 50 47 62 84 104 114 101 88 83 78 73 68 64 61 59 58 57
12 17 23 32 43 52 55 59 67 72 76 80 80 78 72 68 79 80 61 46 41 47 58 75 87 87 79 72 66 61 59 56 55 54 50 41 28 21 22 25 25 24 23 23 25 29 31 30 19 4 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 27 45 62 76 95 124 156 183 212 232 235 224 185 170 184 244 340 431 582 681 728 746 715 588 480 376 285 218 175 147 122 101 94 93 94 93 85 70 66 69 79 94 105 99 91 92 97 98 92 76 69 64 64 67 68
4 10 20 34 49 58 57 56 63 69 77 82 87 91 88 83 95 96 87 79 75 74 80 89 93 95 94 88 79 70 69 69 64 57 50 41 30 23 23 25 27 26 23 21 21 22 26 27 20 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 30 51 72 96 125 150 164 177 199 221 225 210 184 163 171 211 265 331 380 421 461 500 501 484 424 355 297 252 199 162 138 128 122 114 101 88 82 83 88 93 97 98 91 93 103 112 116 106 90 80 76 76 78 79
1 5 11 24 32 35 34 33 39 49 58 66 76 87 96 100 104 101 94 92 90 87 87 94 100 105 109 108 101 88 83 77 67 56 47 38 32 24 22 22 24 24 22 17 15 14 14 14 11 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 23 45 66 90 112 131 149 168 194 218 223 218 206 189 171 165 179 205 228 242 258 282 315 342 346 342 338 312 249 218 194 171 158 144 124 108 101 102 114 132 112 100 97 104 115 123 125 113 100 93 92 93 89 84
0 2 4 10 11 15 18 20 21 23 27 37 50 64 78 85 89 94 95 94 92 90 84 89 97 106 113 118 117 106 100 87 71 55 42 31 28 21 16 14 14 14 15 11 9 8 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 21 41 62 83 102 119 139 162 199 238 247 233 220 206 187 162 150 153 162 167 169 173 188 205 232 277 325 338 325 291 255 233 227 196 166 140 122 119 127 124 106 99 102 112 129 135 132 123 113 108 108 104 97 89
0 1 0 1 3 5 7 7 6 6 8 15 25 35 44 56 73 88 99 103 98 89 85 90 98 105 111 114 115 112 108 101 86 65 44 30 23 17 11 7 5 6 5 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 1 7 23 46 72 94 112 129 152 187 214 244 257 238 217 196 182 162 143 131 126 126 129 129 132 143 162 199 256 304 340 352 321 296 273 229 185 155 139 134 130 120 112 111 118 130 143 149 147 136 121 116 113 107 102 97
1 0 1 2 2 2 2 3 3 4 7 12 19 28 39 57 71 83 91 102 111 112 103 101 101 102 101 99 101 106 109 109 104 90 66 45 27 16 9 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 51 77 101 121 142 161 197 214 224 231 218 194 174 163 151 135 118 107 102 98 96 98 104 112 142 199 283 365 391 342 302 250 207 191 189 165 158 141 127 126 136 135 144 158 168 162 141 126 121 118 115 112 108
3 3 2 3 3 2 2 2 3 4 7 11 17 25 37 46 61 75 88 103 115 117 111 109 106 101 95 91 95 102 109 112 112 108 95 69 40 23 11 3 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 35 53 72 91 115 146 162 184 201 208 209 203 188 169 153 142 129 112 100 90 81 74 73 77 83 109 159 221 275 304 324 309 286 275 268 237 207 176 150 138 135 130 151 167 179 177 161 140 130 125 123 119 111 105
6 5 3 2 2 1 1 1 1 2 3 5 7 13 23 33 47 58 68 78 91 102 102 103 102 100 98 97 98 104 110 115 117 113 97 72 44 26 13 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 0 0 0 0 0 0 0 3 16 35 54 69 81 99 135 166 190 205 206 206 202 193 180 168 159 146 122 102 87 74 62 58 61 69 92 131 181 236 285 321 332 320 293 272 250 224 201 191 197 200 203 198 193 180 161 150 142 135 129 122 115 106 100
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