Vorticity
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nan 6 6 6 6 5 4 4 5 5 5 6 6 6 6 6 6 5 4 5 5 5 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 6 7 7 8 9 9 9 8 8 7 6 5 6 6 7 7 7 6 6 6 6 6 7 8 9 9 8 7 7 7 8 8 7 7 7 7 6 5 4 5 7 9 8 7 6 5 5 6 6 7 8 10 11 11 10 8 6 4 3 3 3 3 3 4 4 5 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 5 6 6 6 6 6 6 7 7 6 5 5 4 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 6 nan
nan 6 6 7 7 6 6 6 6 6 6 6 6 7 7 7 6 6 5 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 7 7 7 7 8 7 6 6 6 6 7 7 7 7 6 6 6 6 6 7 8 10 10 9 8 7 6 6 7 7 8 7 7 6 5 5 6 7 8 7 6 5 5 5 5 6 7 8 9 10 11 10 9 7 6 5 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 5 6 6 6 6 6 7 7 7 6 4 4 4 4 5 5 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 7 7 7 7 7 6 6 6 6 6 6 6 5 6 nan
nan 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 10 9 9 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 9 11 11 10 8 6 6 6 6 7 7 8 7 6 5 5 6 7 7 6 6 5 5 5 6 6 6 7 8 9 10 10 9 7 6 6 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 4 3 3 4 5 7 7 7 7 7 7 7 6 5 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 6 6 5 5 6 6 6 6 6 6 nan
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nan 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 11 10 9 9 9 9 10 11 12 13 13 13 13 12 11 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 9 8 8 8 7 7 8 9 9 10 10 9 8 8 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 nan
nan 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 8 8 9 10 11 11 11 10 10 10 10 10 9 9 9 9 10 11 11 12 12 11 10 10 9 9 10 11 11 12 13 13 13 12 11 10 10 10 10 10 10 10 10 10 9 10 10 9 9 8 8 9 10 11 11 10 9 8 9 9 9 9 10 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 11 12 12 11 11 10 10 11 10 10 10 10 10 11 11 10 10 9 9 9 8 8 7 7 7 7 7 6 6 6 7 7 7 6 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 10 10 11 11 10 10 9 8 7 7 7 7 8 9 10 11 11 10 10 9 9 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 10 9 9 9 10 10 10 10 10 9 9 10 10 9 9 8 8 8 10 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 10 11 12 12 12 11 10 10 10 11 11 13 14 15 15 14 12 11 12 12 10 9 8 9 10 10 10 10 10 9 9 9 8 8 7 7 7 6 6 6 6 6 6 7 7 7 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 9 9 10 11 11 11 11 10 9 8 7 7 7 8 9 10 11 11 10 9 8 8 7 7 7 6 6 6 6 5 6 8 9 10 10 9 9 9 8 8 9 10 11 11 10 9 9 9 9 10 10 10 9 10 10 10 10 9 9 8 8 8 9 10 10 9 9 9 9 8 8 8 9 10 10 10 11 12 12 12 11 11 11 11 12 13 13 13 13 12 12 11 11 11 12 13 14 14 13 12 11 11 11 9 7 6 7 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 nan
nan 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 11 12 12 11 11 10 8 7 7 7 8 10 11 10 10 9 8 8 7 7 7 7 8 7 6 6 7 9 10 10 9 8 8 8 8 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 8 8 9 9 9 9 9 9 10 10 9 8 8 8 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 9 7 7 7 8 8 8 7 8 8 8 6 5 5 5 6 6 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 nan
nan 10 10 10 10 10 9 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 13 13 13 12 11 9 8 6 7 9 11 11 11 9 8 8 8 8 9 9 9 8 8 10 11 11 11 10 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 11 11 10 10 11 11 10 9 7 4 2 1 2 3 3 3 4 5 5 5 4 5 5 6 7 7 8 8 9 9 10 10 11 12 12 11 10 9 9 9 9 8 8 8 8 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 10 11 12 13 14 15 16 17 17 17 15 12 9 10 12 13 13 12 10 9 9 9 10 10 10 10 11 11 12 13 12 11 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 9 9 10 11 10 10 10 10 9 8 6 4 3 2 2 2 4 4 5 6 6 6 6 6 7 8 9 9 9 10 11 11 12 13 14 14 13 11 10 10 10 10 10 10 10 9 9 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 9 9 10 11 13 14 15 17 18 19 20 21 20 18 17 16 16 17 17 15 13 11 10 11 12 11 10 10 11 12 12 12 12 12 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 13 12 12 11 10 9 9 10 10 10 10 10 10 9 9 10 10 9 8 7 6 6 8 9 10 10 10 9 9 8 7 6 5 5 5 5 6 6 7 8 7 8 8 8 9 9 10 10 10 11 12 13 13 14 15 14 12 11 10 11 12 12 12 12 11 11 11 nan
nan 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 10 11 13 13 12 10 9 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 9 10 12 14 15 16 16 16 16 17 17 17 18 18 18 19 19 18 17 14 13 13 13 12 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 8 7 5 5 6 7 9 10 10 10 9 8 8 7 6 6 6 6 6 7 8 8 9 9 9 9 10 10 10 10 10 11 12 13 13 13 14 13 13 12 12 13 14 14 13 13 12 12 12 nan
nan 11 11 11 11 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 9 10 12 13 14 14 12 11 11 10 9 8 8 9 9 9 9 10 9 9 8 8 8 7 7 7 7 8 8 9 9 9 9 10 9 9 8 8 7 7 8 10 11 12 12 12 12 12 11 11 12 12 14 16 18 19 19 18 16 15 14 12 10 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 9 9 8 9 9 10 9 9 8 8 8 8 9 10 11 11 11 11 10 10 9 9 8 9 10 10 9 8 7 7 7 7 7 8 8 7 6 5 4 5 7 9 10 10 9 9 8 8 7 6 6 6 6 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 12 13 12 12 11 11 12 11 11 11 11 12 12 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 11 13 14 14 13 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 7 5 4 4 4 5 7 9 10 11 11 10 8 7 7 8 10 13 15 17 17 16 16 15 13 12 11 10 10 9 10 10 10 10 10 11 10 10 10 10 10 10 10 9 8 8 8 9 9 9 8 8 8 8 8 8 9 10 10 10 9 9 9 8 7 7 7 8 8 7 7 6 5 5 5 6 7 8 7 6 5 4 3 5 7 8 8 9 9 9 8 7 7 6 6 7 8 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 7 6 6 7 7 8 9 10 11 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 14 15 13 11 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 8 5 3 1 1 1 3 4 6 8 9 9 8 7 6 6 6 8 10 11 12 13 13 14 15 15 15 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 6 6 6 5 5 6 6 6 6 6 5 5 4 5 5 6 8 8 8 7 6 4 3 4 5 5 6 7 9 10 9 8 8 7 8 8 8 9 11 11 11 11 11 11 10 10 9 9 10 10 9 9 9 9 7 5 4 3 4 6 7 8 9 10 11 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 14 13 11 10 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 9 10 10 10 8 6 4 2 1 1 2 3 3 4 6 7 7 7 6 5 5 6 7 8 8 9 10 12 13 15 16 16 16 15 14 13 12 11 11 11 10 10 10 10 10 10 9 9 8 8 7 7 7 7 6 6 7 7 7 7 7 6 5 4 4 4 3 3 4 6 6 7 6 6 6 6 7 7 8 8 9 10 10 9 8 6 5 4 4 3 4 6 8 10 10 9 9 9 9 9 9 10 11 12 12 11 10 10 9 9 9 9 9 9 8 8 8 7 4 2 2 4 7 8 9 10 11 11 12 12 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 13 13 13 13 13 13 13 12 11 10 10 10 10 10 10 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 7 6 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 6 6 7 7 8 9 11 13 14 16 16 16 16 15 15 14 14 13 12 11 10 10 10 9 9 8 8 7 7 6 6 6 5 5 4 4 4 5 6 5 5 4 5 5 4 4 4 6 7 8 8 8 8 9 10 10 10 10 10 10 11 11 9 7 6 5 4 3 4 6 8 10 11 10 10 10 11 10 10 11 11 12 11 11 10 9 9 8 8 8 8 8 7 7 5 3 1 1 3 6 9 10 11 11 11 12 12 12 nan
nan 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 13 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 8 7 7 6 6 6 6 7 7 7 7 6 5 5 4 4 4 5 6 6 7 7 8 9 10 11 12 14 15 16 16 16 16 16 16 15 14 12 11 10 10 9 8 8 7 7 6 6 6 6 6 5 3 2 2 3 5 5 5 5 6 6 6 6 6 7 8 9 9 9 10 11 12 11 10 10 10 11 11 11 10 8 7 6 5 4 5 6 9 10 11 11 11 12 11 11 10 10 11 11 11 10 9 9 8 8 8 8 8 8 7 5 3 0 0 2 5 8 10 11 11 11 12 12 12 12 nan
nan 9 9 9 9 9 9 9 10 10 10 10 11 12 12 12 12 13 13 13 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 7 8 8 8 9 9 8 8 8 7 7 7 7 8 8 8 8 8 7 6 5 4 4 4 5 6 7 7 8 9 9 10 11 12 13 13 14 15 15 16 16 16 15 14 13 12 11 10 9 8 7 7 7 7 7 7 7 6 5 3 3 3 4 5 5 5 6 7 7 7 7 8 8 9 9 10 11 11 11 11 11 11 12 12 12 11 10 9 8 7 6 5 6 7 10 11 12 12 12 12 11 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 8 5 2 1 2 4 7 10 11 11 12 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 10 10 10 10 11 12 12 12 12 12 11 11 11 12 12 11 11 11 10 11 11 11 11 11 12 11 12 12 11 10 9 8 7 7 7 7 6 6 5 4 4 3 3 4 4 4 5 5 6 7 8 9 9 10 9 8 8 7 7 7 7 7 8 8 8 8 7 6 5 4 5 6 6 7 8 9 9 10 10 10 10 10 11 12 13 14 15 16 16 16 15 15 14 12 11 10 10 9 9 9 9 9 9 8 7 7 6 6 5 5 5 5 6 7 8 8 8 8 8 9 10 11 11 11 11 11 12 12 13 13 12 12 11 9 8 6 5 6 7 9 11 12 12 12 12 11 10 10 9 9 9 9 9 9 8 8 9 9 9 9 10 10 9 7 5 5 6 8 10 11 11 12 12 13 13 13 13 13 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 9 8 7 6 6 5 5 5 4 4 3 3 3 3 4 5 5 4 4 4 5 6 8 10 11 10 9 8 8 8 7 6 6 6 7 8 8 8 7 6 5 5 5 5 6 7 8 8 8 9 8 7 7 7 8 9 11 13 14 15 15 15 15 15 15 14 13 13 12 12 11 10 10 10 10 10 10 9 8 7 6 6 6 6 7 8 9 9 9 9 10 11 11 10 10 10 10 11 12 12 12 11 10 9 7 6 5 6 7 9 11 12 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 8 8 8 10 11 12 13 13 14 14 14 14 14 nan
nan 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 6 5 5 5 5 5 5 6 6 6 7 8 8 7 6 5 5 5 6 8 10 11 11 10 9 8 7 6 6 6 6 7 7 7 7 6 6 6 5 5 6 6 7 7 8 8 8 7 6 5 6 7 7 8 10 11 12 13 13 14 14 14 14 14 14 13 12 12 11 10 11 11 11 10 9 8 8 8 8 8 8 9 9 9 9 10 11 11 10 9 9 9 9 9 10 10 10 9 7 6 5 5 7 9 11 12 12 11 10 10 10 11 11 11 10 10 10 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 7 6 6 8 11 13 14 14 14 15 15 15 15 nan
nan 7 7 7 7 7 8 8 8 9 9 9 10 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 8 8 8 8 7 7 7 7 6 6 7 7 8 8 9 9 10 10 11 10 9 7 5 4 4 7 10 11 11 10 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 8 7 6 5 5 5 6 6 7 8 9 10 11 11 12 12 13 13 13 12 12 11 10 10 10 9 8 7 7 8 9 10 10 9 9 9 8 9 10 10 9 8 8 9 9 9 9 10 10 9 7 6 6 7 8 10 12 14 14 12 10 9 9 9 10 11 11 10 10 10 9 8 8 8 7 8 9 9 10 10 10 10 9 9 7 4 4 5 8 12 13 14 14 15 15 16 16 16 nan
nan 7 7 7 7 7 8 8 8 8 9 9 9 8 8 7 7 6 6 7 7 7 8 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 9 10 11 11 11 11 11 12 12 10 7 4 3 4 7 9 10 10 9 9 9 8 8 8 6 5 4 4 5 6 6 6 6 6 7 7 7 8 8 9 8 8 7 6 6 5 5 5 5 6 7 7 8 9 9 10 10 11 11 11 11 10 10 9 9 8 7 7 7 8 9 10 10 10 10 9 9 10 10 9 8 8 9 11 12 12 13 13 12 10 9 9 10 11 12 13 13 14 13 11 10 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 9 9 8 6 5 5 7 10 12 13 13 14 14 15 15 15 15 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 6 7 7 7 7 7 8 8 8 9 9 9 8 7 7 7 8 9 9 9 8 8 8 9 10 11 12 13 12 11 11 11 12 13 12 11 8 6 6 6 7 8 8 9 10 10 11 13 12 9 6 4 4 4 5 5 5 6 6 7 7 7 8 8 8 8 8 8 7 6 5 5 5 5 5 5 6 7 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 8 9 10 11 11 11 11 11 12 12 12 11 11 12 13 15 16 16 15 13 11 9 9 11 12 14 14 14 13 13 12 11 11 11 10 10 10 9 9 9 9 9 10 10 9 8 7 7 8 9 9 9 9 9 9 8 7 7 7 9 10 11 11 11 12 13 13 13 14 14 nan
nan 8 8 9 9 9 9 9 8 7 6 6 7 7 7 6 6 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 7 6 6 7 9 10 9 9 9 10 10 12 13 13 13 12 11 10 9 9 10 11 12 13 12 10 8 7 7 8 8 9 11 12 14 17 17 14 10 6 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 8 7 6 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 10 11 11 12 12 12 13 14 15 15 14 15 16 16 17 16 14 11 8 6 6 9 11 13 14 15 14 13 12 11 11 11 11 10 9 9 8 8 9 9 10 10 10 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 nan
nan 8 9 9 9 9 9 9 8 7 6 5 6 6 6 6 6 6 6 6 7 8 8 8 8 7 7 7 7 8 8 8 9 9 8 7 6 6 7 9 10 10 11 12 12 13 14 14 13 12 11 10 9 8 8 8 8 10 11 11 10 9 8 7 7 8 9 11 12 15 18 19 17 14 10 6 5 4 4 5 6 7 7 7 7 7 7 8 8 9 8 8 6 5 4 5 5 6 6 7 7 7 7 7 7 7 8 7 7 7 6 6 6 6 6 7 8 9 9 9 10 10 10 12 13 14 14 14 15 15 14 13 10 7 4 3 4 6 9 11 12 13 13 13 12 12 11 11 11 10 9 9 9 9 9 9 9 10 10 9 8 7 7 7 8 9 9 9 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 nan
nan 8 8 8 9 9 9 8 7 6 5 5 5 6 7 7 8 8 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 7 7 7 8 9 11 12 13 13 13 13 13 12 11 10 10 9 9 8 7 6 6 7 8 8 8 8 7 7 7 7 8 9 10 13 15 16 17 15 11 7 5 4 4 6 7 7 8 7 7 8 8 8 9 9 9 8 6 5 5 5 5 6 7 7 7 8 8 8 8 8 8 7 6 6 5 5 6 6 6 7 8 8 7 7 7 7 8 8 9 10 9 9 9 9 8 7 5 4 3 4 6 8 10 10 11 12 12 11 11 11 11 11 10 9 8 9 9 9 9 9 9 9 9 9 8 7 6 7 8 8 9 8 8 8 9 10 10 10 10 9 9 8 8 7 6 6 7 7 7 8 nan
nan 8 8 8 8 8 8 8 7 7 6 5 6 7 7 8 9 9 8 7 6 6 5 6 7 8 8 8 7 7 7 7 7 7 8 8 9 10 10 11 11 11 12 12 12 12 11 10 9 9 10 10 10 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 8 9 10 12 14 14 11 8 7 5 5 7 8 8 8 8 8 8 8 8 9 9 9 8 6 5 5 5 6 7 8 8 9 9 9 9 8 8 8 7 7 6 6 6 7 8 9 10 10 10 9 8 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 7 8 9 10 10 11 11 11 11 11 11 10 10 10 9 8 8 9 10 10 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 8 7 6 6 6 6 6 7 nan
nan 9 8 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 7 6 4 4 4 5 7 8 8 8 8 7 6 6 6 6 7 8 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 10 12 11 10 10 8 7 8 8 7 7 7 8 8 8 8 8 9 8 8 7 7 7 7 7 8 9 9 10 10 9 9 8 8 7 7 7 7 8 9 10 11 12 13 13 13 12 12 11 9 8 7 6 5 5 5 5 6 7 7 8 8 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 7 6 6 6 6 6 7 nan
nan 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 5 4 2 2 3 4 5 7 8 8 8 7 7 6 5 5 6 7 8 9 9 10 9 9 8 8 8 8 8 8 8 9 10 11 11 10 10 10 9 9 8 8 8 8 8 7 7 7 6 6 5 5 5 7 9 11 12 12 12 11 9 8 7 6 6 8 8 8 8 7 8 8 8 8 8 9 9 9 9 10 10 10 11 11 10 9 8 7 7 7 8 9 10 12 13 14 15 15 15 16 15 15 14 13 11 10 9 9 8 8 7 8 8 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 11 11 11 9 8 8 9 9 8 8 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 4 2 2 2 2 3 4 6 8 8 8 8 7 6 5 5 5 6 6 7 8 9 9 8 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 6 6 5 5 6 7 8 10 12 13 13 12 10 8 7 6 7 8 8 7 7 7 7 8 8 8 9 9 10 11 11 10 10 10 11 11 9 8 7 7 7 8 9 11 13 14 16 16 17 17 17 17 17 17 16 16 15 14 13 12 10 9 8 8 8 8 9 10 10 11 10 10 9 9 8 8 8 8 9 9 10 11 12 13 13 11 9 7 7 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 11 11 nan
nan 9 9 8 9 9 8 8 8 8 8 8 8 7 7 7 7 6 5 3 3 3 4 4 4 6 8 8 8 8 7 7 6 6 6 6 6 6 7 8 8 7 6 6 7 8 8 8 8 8 8 9 9 10 10 9 9 10 10 9 9 9 9 8 8 7 6 6 6 6 6 7 9 10 12 14 14 13 12 10 9 8 8 7 7 6 6 6 7 8 8 8 8 9 9 10 10 10 9 10 10 9 8 7 6 7 8 9 10 12 14 15 16 17 17 17 17 17 17 18 18 19 18 17 16 14 12 10 8 8 8 8 9 10 10 10 9 9 8 8 7 7 7 8 9 10 12 13 15 16 15 12 8 6 5 6 7 8 8 8 8 8 7 7 8 9 10 11 11 12 12 12 12 12 12 11 11 11 12 13 15 15 14 14 14 14 nan
nan 9 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 5 4 4 5 6 6 6 7 8 8 8 8 7 7 7 7 7 7 6 5 6 7 7 7 6 5 6 7 8 8 8 8 8 9 10 9 9 9 8 9 9 9 9 9 9 9 8 7 6 6 6 6 7 8 9 10 12 14 14 14 14 12 11 9 8 7 6 6 6 7 7 8 8 8 8 8 9 9 9 10 10 10 9 8 7 6 7 8 9 10 11 12 13 14 15 16 16 16 16 16 16 18 19 20 21 20 19 17 15 13 11 9 9 10 10 10 9 8 8 7 7 7 7 7 7 8 9 11 12 14 16 17 16 12 8 4 3 5 7 8 8 8 8 8 7 7 7 8 9 10 10 12 13 14 14 14 12 11 11 11 11 12 12 12 13 13 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
10 9 9 9 9 8 8 9 9 9 9 9 8 9 9 8 7 7 6 6 5 4 3 4 3 3 1 0 0 0 1 2 2 3 3 2 3 3 3 3 4 4 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 1 3 4 4 15 40 65 98 172 256 248 203 156 106 79 67 65 68 68 84 123 164 220 272 314 345 360 340 278 224 182 147 113 83 59 37 26 18 13 10 9 10 11 12 12 12 9 10 14 19 22 23 19 16 17 18 17 15 13 13 13 13 13 13 13 14 15 17 16 13 13 15 20 21 17 16 16 16 14 13 13 12 10 8 6 6 6 8 12 17 20 23 22 22 22 23 22 18 14 12 11 14 18 22
10 9 9 9 8 10 10 9 9 9 10 10 10 10 10 11 11 9 7 7 6 5 3 3 3 3 1 0 0 0 1 1 1 2 2 2 2 3 3 2 3 4 3 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 1 1 2 2 4 15 37 66 93 149 210 242 232 179 121 83 62 50 43 46 65 91 125 166 216 282 353 386 332 273 221 176 136 100 81 59 43 30 22 16 14 14 14 13 12 10 6 8 15 20 22 19 16 16 18 17 16 16 15 14 13 12 13 13 13 13 13 15 15 15 15 16 19 19 17 21 26 26 23 20 17 15 11 8 6 7 11 17 23 28 28 30 28 26 24 22 18 14 13 13 13 17 22 26
10 9 9 8 7 9 10 9 9 9 10 10 11 11 12 14 13 13 14 12 9 7 5 4 4 3 1 0 0 0 0 0 1 1 1 2 2 2 2 2 2 3 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 5 15 24 36 71 139 190 216 211 185 149 87 56 49 39 40 50 65 86 129 182 258 327 336 306 259 210 167 126 103 82 63 48 36 26 19 18 18 19 18 14 7 6 13 20 20 15 11 11 10 11 14 18 17 14 13 13 14 14 14 13 15 17 17 15 15 16 17 17 19 21 25 25 21 17 14 11 8 10 13 18 24 27 29 33 31 29 27 24 19 14 12 12 14 16 18 20 25 27
11 11 9 8 8 8 8 8 7 8 9 10 9 9 9 11 12 12 11 10 8 7 7 7 5 4 1 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 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 2 5 7 10 28 77 113 141 168 199 227 164 102 65 44 35 34 36 45 83 113 168 235 290 313 297 255 208 164 133 106 85 66 49 36 27 22 23 25 26 22 16 11 14 19 12 3 1 3 4 6 10 15 15 15 15 15 15 14 14 14 15 15 15 15 15 16 16 16 17 18 19 20 18 15 11 8 12 18 24 29 31 31 29 29 26 24 23 19 13 11 12 14 16 19 22 25 26 27
12 11 10 9 8 9 9 8 7 7 7 8 8 9 8 9 10 10 10 9 8 7 8 8 6 4 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 8 17 40 64 81 99 130 180 190 153 98 57 38 32 31 31 48 67 105 161 230 290 310 292 253 206 167 134 106 83 63 45 34 27 28 30 32 32 27 19 19 16 8 2 0 0 1 2 6 10 13 16 18 17 16 16 15 15 16 16 16 16 17 17 17 18 18 19 19 19 18 17 14 18 24 28 31 34 33 30 28 24 22 20 18 13 10 10 12 16 18 19 21 25 29 36
11 11 10 9 8 8 9 7 6 6 5 6 7 8 8 7 8 8 7 6 6 7 7 7 5 3 1 0 0 0 0 0 0 0 0 0 0 1 0 1 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 1 1 0 0 0 0 0 0 2 7 17 32 48 57 68 97 128 134 111 81 62 48 38 33 37 45 62 102 162 223 267 284 275 243 199 160 134 107 79 54 38 33 35 38 41 44 40 29 24 16 7 2 1 0 0 0 3 7 10 14 16 17 18 18 16 16 17 19 19 17 18 19 19 21 22 21 20 21 23 26 26 27 30 32 36 36 34 32 27 22 20 19 14 9 9 11 13 16 18 21 24 26 30 38
10 10 10 10 7 7 8 6 5 4 4 4 5 5 6 5 6 6 6 5 5 6 6 6 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 1 3 6 14 26 37 44 60 83 98 96 87 82 74 61 53 54 51 51 71 110 156 207 261 300 298 263 222 181 136 99 66 45 37 38 43 52 62 54 42 30 19 9 2 1 0 0 0 1 4 8 12 16 18 20 20 19 21 23 22 19 18 19 21 23 23 22 21 21 25 28 29 30 32 34 38 44 45 36 31 27 24 22 18 12 9 10 12 15 17 19 24 26 25 25 29
8 8 8 9 7 6 6 5 4 3 3 3 3 3 4 5 5 5 4 4 4 4 5 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 1 2 3 8 18 26 36 57 70 68 73 80 82 80 68 56 50 57 67 88 121 162 225 288 330 348 334 286 211 151 102 67 49 44 45 55 68 65 54 40 27 16 5 2 0 0 0 0 2 5 9 13 16 19 21 21 21 22 20 18 18 18 18 19 18 18 20 25 30 29 28 31 37 39 44 49 51 43 35 29 25 23 17 12 10 11 13 16 22 27 26 24 20 18 19
8 7 7 7 6 5 4 4 3 2 2 1 1 1 3 4 4 3 3 2 2 2 3 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 2 6 10 15 29 45 49 55 66 69 81 80 71 67 65 62 69 88 119 174 246 326 398 429 408 348 267 184 113 70 61 55 62 71 76 68 52 37 29 15 5 1 0 0 0 0 2 6 9 12 16 20 21 19 15 14 15 15 14 15 16 16 17 22 29 32 30 29 32 38 40 40 43 44 38 29 25 23 22 16 12 11 11 13 14 25 29 27 24 21 18 16
7 6 6 6 5 4 4 3 3 2 2 1 1 1 2 2 2 3 2 1 1 1 1 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 1 3 8 16 30 41 48 56 57 69 80 82 79 72 62 57 63 83 122 183 273 393 452 471 456 404 313 204 120 88 75 76 84 90 85 66 48 37 25 12 3 0 0 0 0 1 2 5 8 12 16 18 17 14 12 12 12 12 14 16 19 22 26 28 28 28 29 35 36 33 34 38 39 33 27 24 23 21 17 13 11 11 12 15 25 28 28 27 23 19 16
7 6 6 6 6 4 3 3 3 2 1 1 1 1 1 2 2 2 1 0 0 0 0 1 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 1 3 5 10 20 32 41 47 47 54 70 80 66 68 66 57 50 56 77 113 175 289 390 476 546 566 498 366 236 151 109 100 107 116 111 90 65 49 36 21 9 2 0 0 0 0 0 2 5 8 11 14 14 12 12 12 12 12 15 19 24 27 28 27 25 24 28 31 29 31 36 38 34 28 25 26 26 23 19 14 10 9 11 17 27 32 30 31 26 21 19
7 6 5 5 6 5 4 4 4 3 2 2 1 1 1 1 1 1 1 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 1 3 4 6 9 24 32 36 38 46 58 71 77 77 77 68 52 43 49 66 99 168 268 406 572 699 688 575 414 269 180 151 155 169 163 136 103 72 52 36 19 7 0 0 0 0 0 1 2 4 8 10 10 9 10 11 12 11 13 17 22 26 27 25 23 25 29 33 35 37 37 33 27 26 27 29 29 26 19 10 7 10 13 18 25 32 28 27 28 26 24
8 6 4 5 6 5 5 6 7 5 3 2 1 1 1 1 1 1 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 1 2 4 7 15 23 29 35 44 52 60 64 75 89 91 73 48 43 46 58 86 141 252 431 636 759 763 638 459 318 250 222 223 230 208 159 108 73 52 34 15 3 0 0 0 0 0 0 1 4 6 7 7 8 10 11 11 12 15 18 22 23 20 20 23 28 33 37 37 32 27 24 26 28 31 34 31 22 15 12 13 15 18 23 27 24 24 30 30 25
8 6 4 4 5 5 6 9 11 8 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 17 23 30 39 44 53 60 67 82 99 98 79 59 44 41 49 69 115 217 407 659 860 861 715 546 413 329 290 303 303 263 192 121 79 55 29 11 3 0 0 0 0 0 0 2 3 5 6 7 7 9 10 11 13 16 17 17 16 14 17 23 29 34 33 25 23 22 25 30 35 37 35 28 24 20 16 15 15 18 21 23 32 36 30 23
9 7 5 5 4 4 6 9 13 12 6 8 3 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 14 20 25 32 37 49 62 68 71 85 104 104 74 52 40 34 39 54 90 192 406 657 801 801 730 598 485 422 424 432 405 327 216 148 102 62 29 7 0 0 0 0 0 0 0 1 3 4 5 6 7 8 10 12 15 16 15 13 11 13 18 23 29 27 21 20 21 24 29 36 36 33 30 27 23 17 15 14 15 17 20 26 31 26 21
12 11 6 5 4 4 6 10 13 13 7 15 15 11 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 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 1 2 4 8 14 19 24 29 42 58 67 68 73 90 109 127 107 57 34 30 35 47 73 162 315 495 661 791 732 659 600 558 548 563 507 378 278 196 124 62 17 1 0 0 0 0 0 0 1 1 2 3 4 5 6 8 10 12 14 14 13 11 10 11 13 23 21 18 17 19 23 27 33 32 30 28 28 25 22 23 21 19 18 19 23 24 20 20
12 14 13 12 10 6 5 8 10 6 5 17 24 23 16 9 8 8 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 15 20 29 41 53 63 70 75 101 115 88 58 49 38 40 40 42 61 118 224 380 604 681 713 705 674 672 732 697 592 462 333 214 114 41 11 3 1 0 0 0 0 0 1 1 2 3 4 5 6 8 11 13 14 13 12 10 10 9 14 16 15 15 18 23 28 29 29 29 33 36 36 37 36 31 25 21 20 21 20 20 22
11 16 19 20 16 8 3 5 8 10 14 21 27 32 31 26 25 19 14 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 18 25 33 43 56 61 79 91 87 92 95 70 64 55 43 42 56 81 161 295 430 551 649 708 757 817 822 764 651 506 363 226 107 39 11 3 1 0 0 0 0 0 1 2 3 3 4 6 6 9 11 12 13 13 11 9 9 10 11 12 14 17 20 22 26 31 33 39 44 45 51 48 37 27 21 20 22 21 24 28
15 17 22 22 21 13 6 9 16 21 23 23 25 29 33 34 34 27 20 11 4 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 14 18 24 33 42 52 63 77 114 123 120 107 83 59 46 48 58 82 114 174 279 421 541 626 716 793 825 784 677 567 414 242 105 30 8 3 1 1 0 0 0 0 1 2 3 3 4 4 6 8 10 13 13 12 10 10 10 9 10 12 15 17 20 28 37 39 46 51 54 57 51 37 26 22 21 22 25 31 38
9 12 17 20 19 14 12 18 23 26 28 28 27 28 31 33 34 31 24 16 8 5 3 1 1 3 5 5 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 0 0 1 1 3 7 10 15 21 28 35 55 80 102 120 122 105 80 66 59 58 64 69 75 107 198 300 381 476 606 739 808 786 737 627 448 252 106 41 9 3 2 1 0 0 0 1 1 2 2 3 4 6 7 8 10 11 11 11 11 10 9 9 10 12 14 19 28 35 40 46 53 56 52 43 31 24 23 22 22 25 34 43
4 10 15 20 21 21 21 21 19 23 28 30 31 33 35 38 42 38 28 20 16 13 7 3 2 5 7 8 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 2 3 6 12 16 31 45 64 90 110 108 102 96 76 57 55 60 58 65 106 150 187 250 375 563 714 803 838 825 698 486 277 127 30 11 5 3 1 0 0 1 1 2 2 3 4 5 7 8 8 9 10 11 12 11 10 10 9 10 13 18 26 30 35 40 45 47 43 35 27 24 23 22 21 25 32 35
3 9 14 17 19 20 21 19 16 21 22 27 33 38 42 49 55 46 32 23 21 17 9 3 4 6 10 9 7 5 1 0 0 2 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 15 23 36 57 87 101 115 125 116 80 42 48 50 56 71 82 103 155 251 397 567 730 846 909 871 720 513 305 123 45 16 6 3 2 2 1 1 2 2 4 6 6 7 8 8 9 10 12 12 11 11 10 10 10 13 20 27 28 31 36 39 41 37 31 28 26 22 19 22 30 31 30
9 14 17 16 14 15 16 17 18 16 18 23 28 33 38 49 56 49 32 20 15 10 4 2 3 6 6 4 2 0 0 2 6 10 7 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 13 21 35 62 83 102 127 133 98 45 34 38 45 49 51 65 100 160 253 391 560 726 861 933 912 753 544 321 153 52 11 7 4 4 3 2 2 2 3 5 6 6 7 8 8 10 12 12 12 11 11 10 10 13 20 26 28 29 32 35 36 31 30 33 33 25 25 31 33 32 30
23 25 26 26 22 17 15 21 21 20 20 22 25 30 36 51 54 49 33 18 8 3 1 1 1 4 4 1 0 0 2 6 7 9 7 2 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 41 62 76 100 117 88 49 40 37 38 37 33 37 53 89 141 235 369 531 707 890 1025 941 788 594 374 168 32 18 11 8 6 4 2 2 3 4 4 5 6 7 8 10 11 12 12 11 12 12 11 12 17 22 25 26 26 31 30 28 28 31 32 27 31 36 36 33 33
21 25 31 35 30 21 26 28 27 25 25 25 29 36 44 55 56 50 36 21 11 4 1 0 0 2 3 2 1 1 2 3 2 2 2 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 27 47 57 68 97 113 99 79 62 50 39 32 27 30 48 81 136 216 323 473 713 885 964 966 885 702 427 192 78 27 13 10 7 5 4 3 3 3 4 5 6 7 8 10 11 12 12 12 12 11 12 14 17 20 21 22 26 27 27 27 27 26 29 36 40 38 35 37
12 15 24 34 40 42 40 36 34 33 34 36 38 44 53 59 62 54 40 27 17 10 3 0 1 4 6 6 4 3 5 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 0 0 1 4 15 31 42 47 67 103 153 148 122 93 65 52 29 22 26 45 76 115 170 271 463 659 841 984 1055 981 744 480 247 90 30 18 12 10 7 4 3 3 3 4 4 6 8 9 10 11 11 12 12 12 13 13 14 16 17 20 23 25 27 26 26 26 27 32 37 37 36 37
6 8 14 21 28 36 39 36 33 36 40 42 45 50 53 54 55 50 41 31 23 15 7 3 4 7 9 7 8 12 13 12 8 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 1 8 19 28 33 47 76 135 172 173 160 142 74 36 22 20 27 40 62 99 153 262 413 596 792 974 1017 955 801 552 276 115 46 25 17 13 9 5 4 5 4 4 6 7 9 10 11 11 12 12 13 13 13 13 14 15 18 20 23 26 27 27 27 25 26 37 44 45 40
6 7 9 14 19 25 30 37 35 35 39 44 46 47 45 44 44 42 38 34 29 21 12 8 9 13 19 25 30 27 21 16 12 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 26 40 61 92 128 163 215 215 139 76 36 21 20 21 38 62 95 144 212 330 513 712 879 986 998 875 611 352 179 76 30 19 13 10 7 7 5 5 6 7 8 8 10 11 11 12 13 13 14 13 14 15 16 19 22 26 28 29 29 28 31 41 53 58 53
4 4 6 9 15 21 27 44 48 44 39 37 39 40 40 42 44 44 42 40 35 28 22 18 18 23 28 31 33 31 25 19 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 26 41 63 90 116 200 236 217 153 73 31 23 19 24 39 65 97 122 172 294 467 670 856 976 1005 903 701 467 253 110 49 21 16 11 10 8 7 7 8 8 8 9 11 12 13 14 14 14 13 13 14 15 19 22 26 28 30 30 29 30 37 49 62 65
1 1 2 4 6 11 20 26 37 42 41 41 43 41 42 43 43 44 45 45 42 37 29 23 23 28 33 35 33 30 27 20 13 7 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 20 32 53 67 135 193 228 223 160 105 74 39 22 24 40 71 99 127 183 283 440 637 814 973 1043 981 800 557 323 139 53 27 20 16 13 11 11 9 8 8 9 11 12 14 15 15 15 13 12 14 15 17 21 25 29 31 31 31 33 36 47 62 70
0 0 0 0 1 3 9 17 27 34 40 42 43 43 46 50 50 49 47 48 47 41 33 29 32 36 38 43 42 36 28 19 11 8 6 3 2 2 2 1 1 0 0 1 3 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 1 3 6 9 8 23 43 80 116 150 192 201 193 160 95 43 26 29 48 76 111 140 182 264 409 579 760 930 1011 984 855 632 322 154 75 42 26 19 14 14 13 11 10 10 11 12 14 15 15 15 15 14 15 16 17 20 25 29 32 33 32 32 37 48 63 72
0 0 0 0 0 1 5 11 20 29 36 42 47 46 51 55 55 54 55 52 52 49 55 66 71 66 60 50 45 36 27 21 17 14 10 7 6 5 4 4 3 1 1 1 3 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 1 2 4 2 9 25 47 67 83 116 156 196 195 151 90 51 29 33 49 82 119 156 200 266 377 541 712 862 987 1058 961 654 388 202 95 46 29 21 18 17 15 14 12 12 13 13 14 14 15 15 15 15 16 18 22 25 28 33 35 34 35 37 44 59 66
0 0 0 0 0 0 2 5 13 19 24 35 43 45 47 49 52 59 70 63 61 65 78 92 99 97 89 63 49 37 31 30 28 20 13 12 10 8 7 7 5 3 2 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 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 1 4 12 24 40 50 70 101 142 170 172 145 110 67 40 34 50 80 122 172 214 296 416 552 690 853 1050 1101 956 723 466 230 110 62 36 27 24 22 23 20 17 14 13 12 13 15 15 15 15 15 17 20 25 29 33 36 38 38 37 40 50 57
4 4 3 2 2 2 2 3 9 14 17 27 35 37 40 47 55 62 67 78 85 91 101 105 101 99 97 75 56 44 41 41 38 26 21 16 11 7 7 11 15 13 7 4 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 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 1 4 9 19 28 45 55 73 104 141 165 169 139 96 56 37 48 75 130 199 285 376 455 527 666 878 1037 1091 1023 805 483 286 147 68 41 37 38 37 32 26 20 14 14 14 14 14 14 14 15 16 19 25 30 34 37 39 39 35 37 44 51
2 4 5 5 5 4 3 4 7 12 17 24 30 32 38 49 58 65 82 100 105 115 122 116 105 95 97 83 64 52 53 55 46 32 25 17 10 8 11 18 25 24 20 17 15 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 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 1 2 5 9 23 37 46 63 91 122 152 158 137 93 50 46 51 88 155 241 327 387 419 514 672 848 1010 1135 1038 803 545 298 125 75 68 65 61 48 34 28 22 18 16 15 16 16 16 18 18 20 25 31 35 39 42 40 37 37 41 49
1 1 2 4 5 4 4 5 6 10 15 23 28 30 36 46 54 59 65 70 88 119 133 118 97 93 102 101 92 84 79 75 58 41 28 19 16 17 22 29 35 33 29 26 23 19 10 4 1 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 2 8 18 27 39 54 73 99 126 147 151 119 75 53 61 97 157 260 319 360 421 515 661 876 1062 1125 1052 836 529 264 162 126 104 94 77 50 40 35 24 19 17 18 18 18 20 21 23 26 29 33 40 40 39 37 36 38 48
1 1 1 2 4 5 6 8 9 10 13 20 24 27 33 40 48 56 66 73 103 128 135 128 120 118 116 112 108 105 106 103 86 63 43 33 32 35 41 46 46 41 35 31 29 24 16 7 2 0 0 0 0 0 0 0 0 0 0 0 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 0 1 5 9 18 29 42 60 84 120 141 124 99 78 67 69 97 188 271 338 383 419 507 704 931 1132 1230 1129 827 525 336 211 145 123 110 78 57 47 34 24 20 19 19 20 20 21 23 24 27 30 38 43 41 37 37 41 50
1 2 1 1 3 6 11 15 15 14 13 17 21 25 30 36 41 49 61 67 95 123 138 140 138 132 119 110 108 112 121 124 104 81 62 55 55 53 56 55 52 52 48 40 38 32 22 12 6 2 0 0 0 0 0 0 0 0 0 0 8 9 8 8 7 7 4 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 1 3 10 19 30 48 77 92 101 107 108 98 76 85 138 215 295 358 371 402 508 716 1004 1259 1314 1142 875 576 334 207 161 139 118 97 72 48 35 26 21 20 21 22 23 23 23 25 28 34 39 39 35 40 47 53
0 1 1 1 3 7 14 20 22 19 18 20 25 31 37 40 40 43 54 65 86 108 128 144 146 123 97 77 67 70 97 122 100 77 60 53 52 52 54 58 57 59 61 55 52 49 38 24 16 10 1 0 0 0 0 0 0 0 0 0 5 10 13 15 16 19 19 15 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 2 4 8 23 39 49 57 70 93 114 105 99 119 162 226 305 332 336 349 436 687 1064 1322 1389 1243 926 581 360 229 190 165 135 98 68 49 37 27 23 22 22 22 23 22 25 30 35 38 39 38 44 50 54
0 1 1 2 5 11 17 23 27 28 29 33 39 45 49 51 53 55 65 73 81 89 98 103 86 62 54 55 64 82 111 108 86 63 50 45 40 36 40 46 55 61 62 64 65 57 43 31 24 19 6 1 0 0 0 0 0 0 0 0 0 2 5 10 14 19 23 20 11 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 1 7 13 19 22 28 51 92 127 157 161 149 183 243 292 304 297 325 471 779 1128 1408 1450 1253 959 664 434 302 231 184 142 108 82 61 44 33 26 23 23 22 23 26 31 39 43 45 47 50 53 55
0 1 1 4 9 14 19 24 30 36 42 48 55 63 69 72 77 80 82 86 90 92 90 83 69 57 61 81 103 110 109 85 67 53 45 48 51 40 38 36 42 53 63 69 67 58 48 36 27 26 15 3 0 0 0 0 0 0 0 0 0 0 1 3 6 9 11 9 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 1 4 6 7 6 8 24 57 112 181 226 209 204 231 292 331 331 360 426 555 782 1062 1281 1359 1295 1050 746 515 364 272 225 191 141 99 68 45 31 26 24 24 27 32 40 52 53 52 54 57 55 55
3 4 6 9 11 13 14 17 24 32 41 49 58 69 80 90 97 99 98 94 90 88 84 77 65 59 76 111 136 122 116 97 71 52 48 55 58 53 54 52 54 61 67 66 59 46 40 38 36 35 26 9 1 0 0 0 0 0 0 0 0 0 0 1 1 2 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 1 1 1 1 4 13 35 84 157 218 236 233 249 306 378 419 463 490 471 506 623 803 1007 1295 1285 1096 849 611 407 317 265 209 149 94 54 38 29 26 26 31 40 44 47 49 52 56 60 56 56
7 8 10 9 8 6 6 7 10 16 25 34 44 54 64 79 91 95 98 102 104 102 91 81 74 77 102 140 164 149 147 120 87 65 59 68 73 79 80 75 68 67 71 69 60 56 57 58 55 50 46 25 10 2 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 9 23 58 118 183 220 250 285 326 383 453 537 558 512 436 388 418 602 946 1191 1282 1246 1016 676 477 363 287 219 128 76 51 38 32 32 38 43 42 40 42 47 55 59 58 59
7 6 5 4 3 2 2 3 4 6 10 16 24 33 44 54 61 65 71 77 81 84 86 91 97 104 116 130 135 126 122 114 102 85 72 83 92 95 91 84 80 79 80 77 68 63 60 60 60 59 59 42 21 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 8 15 33 79 155 220 285 339 363 378 440 543 602 578 483 357 279 339 561 874 1203 1487 1317 1010 720 505 378 302 203 140 94 64 53 46 45 40 38 40 47 56 65 67 65 65
5 5 4 3 2 2 2 3 4 4 5 7 11 15 18 21 26 27 27 30 37 47 54 55 55 54 52 52 55 56 62 73 79 75 70 75 79 77 73 68 64 58 56 58 54 48 43 43 49 52 52 41 24 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 8 10 20 54 133 232 324 393 419 416 476 575 649 658 575 436 308 246 287 448 795 1206 1336 1281 1063 730 507 405 320 255 193 126 85 65 48 40 41 49 63 71 76 78 77 75
4 4 4 3 2 2 2 3 4 5 6 6 7 7 6 4 4 3 4 5 6 6 12 12 12 10 6 4 7 11 16 22 29 39 44 49 49 49 50 50 48 48 47 44 39 34 30 29 35 38 38 34 26 13 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 0 0 2 2 4 5 7 8 11 15 51 123 220 324 415 456 484 545 625 685 701 638 532 409 283 171 115 358 698 1032 1313 1432 1080 802 599 458 352 242 143 109 80 59 49 53 63 70 77 85 91 92 94
3 4 4 3 3 3 3 4 4 5 6 6 6 6 6 5 4 3 3 3 3 3 2 2 2 2 1 1 1 1 2 2 4 11 16 19 21 31 41 42 43 44 43 41 38 32 24 21 22 24 26 25 21 9 5 2 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 7 9 10 13 25 61 123 217 337 449 519 564 611 657 689 693 659 598 516 409 261 153 157 287 583 1066 1417 1342 1123 863 642 501 354 236 151 98 76 66 69 77 87 95 102 105 104 109
3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 4 3 3 3 2 0 0 0 0 1 1 1 2 3 4 5 4 6 15 22 23 26 28 27 22 15 12 13 13 12 12 11 4 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 9 11 13 16 27 55 107 212 340 461 558 628 670 673 695 700 679 639 597 523 380 221 102 81 231 783 1252 1457 1382 1125 875 699 522 358 219 132 104 95 98 102 108 115 117 114 114 114
3 4 5 5 5 4 4 4 4 3 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 2 1 1 1 1 1 2 2 1 2 2 2 2 2 2 4 6 7 8 9 8 7 6 6 6 5 4 3 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 1 0 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 7 10 13 15 18 24 34 66 162 274 397 520 624 686 709 736 750 737 691 653 579 443 264 100 36 96 519 1056 1442 1504 1280 1039 830 638 468 327 212 151 134 136 141 141 131 118 117 121 129
3 4 5 5 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 1 1 2 2 2 2 2 2 2 2 1 1 1 2 2 3 4 4 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 6 7 9 12 15 18 22 24 35 87 172 292 446 577 677 760 821 850 828 759 686 584 448 290 132 70 99 301 750 1244 1443 1375 1174 961 766 601 447 310 219 185 188 197 180 143 118 113 119 122
2 3 4 3 3 3 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 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 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 2 2 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 4 4 5 7 10 12 16 20 22 27 45 89 180 343 515 688 830 918 944 889 791 672 535 395 278 190 148 123 158 376 850 1202 1368 1292 1087 873 692 528 398 303 251 235 228 198 154 131 126 128 134
2 2 2 2 3 3 4 5 5 4 3 3 4 3 2 2 1 1 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 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 3 3 3 5 7 10 15 18 21 25 33 54 131 293 497 704 871 967 983 900 780 637 475 319 230 201 197 175 146 191 452 828 1161 1294 1218 1037 811 643 517 411 320 263 243 210 184 170 169 178 165
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6 6 5 5 5 5 5 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 1 1 1 2 2 2 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 2 2 3 4 4 4 4 4 4 4 4 3 2 1 0 0 1 2 2 2 1 0 1 2 3 4 3 2 2 1 0 0 0 0 0 0 0 1 2 2 1 1 1 1 0 0 0 1 2 2 2 1 1 1 1 2 3 3 4 5 6 7 8 9 10 12 16 23 37 70 183 446 719 824 758 580 372 199 94 59 47 43 44 43 43 43 50 72 96 114 137 182 276 373 453 500 495 463 436 421 387 348 308 293 289 282 261
6 6 6 6 5 5 5 6 5 4 3 3 3 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 2 2 1 1 2 3 3 2 1 0 1 3 3 3 3 2 3 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 2 3 4 3 2 2 2 3 4 4 5 7 8 9 13 16 18 23 34 57 101 191 359 554 595 518 375 224 127 68 36 23 20 19 17 16 16 16 14 16 26 36 45 61 82 103 128 157 194 215 226 241 268 257 240 231 233 234 223
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8 8 8 8 7 4 3 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 2 2 1 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 1 2 2 3 3 4 6 7 7 9 10 11 14 15 17 20 22 21 16 8 5 2 1 1 1 4 14 32 45 47 39 30 25 22 20 20 20 21 22 24 25 25 25 24 23 22 20 18 18 17 15 14 14 13 12 12 12 14 15 16 19 23 27 35 44 51 52 51 49 46 44 44 43 40 36 33 34 36
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17 15 12 8 6 5 5 4 4 4 3 2 2 3 3 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 3 2 2 2 2 2 2 3 4 4 4 4 4 4 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 3 4 8 11 12 14 15 17 23 23 22 20 19 17 11 6 3 3 4 4 4 3 3 3 3 4 7 10 13 15 20 22 23 22 21 19 18 17 16 16 15 15 15 15 15 15 15 15 13 13 13 12 12 11 11 11 11 12 13 13 14 16 18 20 23 26 29 31 32 34 36 40 43 44 39 32
21 17 9 5 6 6 6 6 5 4 2 2 2 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 1 1 2 2 2 1 1 1 1 1 2 2 2 2 3 2 2 2 2 2 2 3 3 2 3 3 3 3 2 2 2 2 2 2 1 2 2 2 3 3 2 2 2 2 1 1 2 2 2 2 2 3 4 4 5 4 4 3 3 2 2 2 2 1 0 1 1 1 1 1 2 2 2 3 3 5 8 12 14 15 16 17 19 19 19 17 14 11 8 5 3 3 4 3 3 3 2 2 2 3 4 6 8 11 14 17 19 19 19 18 17 16 15 15 14 14 14 14 14 15 15 14 14 13 13 13 13 11 11 10 10 10 11 11 12 13 14 16 18 20 22 25 27 29 31 34 36 36 34 27
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22 15 7 4 4 4 4 4 4 4 3 2 2 2 2 3 2 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 2 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 3 2 2 3 2 3 3 2 2 2 1 1 2 2 2 2 2 2 1 2 2 2 3 3 3 4 5 5 4 3 2 2 3 3 2 1 1 1 1 2 3 2 2 3 3 4 6 10 12 13 11 10 11 11 9 8 7 5 5 4 3 2 2 2 2 2 1 1 1 1 1 1 2 2 4 6 9 11 11 11 12 12 11 11 10 10 10 10 10 9 10 11 11 12 12 12 12 13 12 12 11 10 10 10 10 10 11 11 12 13 14 15 17 19 20 21 22 21 19 17 16
20 14 5 4 4 4 4 3 3 3 3 3 2 2 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 2 2 2 3 3 3 4 4 3 3 3 2 1 2 2 2 3 3 2 1 1 2 2 2 2 2 2 2 1 2 2 2 2 2 3 3 3 3 4 4 3 2 2 3 3 3 2 1 1 1 2 3 3 3 3 4 5 5 7 8 6 4 3 5 5 4 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 5 7 8 9 9 9 8 8 8 7 8 8 8 9 9 9 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 12 12 12 13 13 14 16 17 18 19 18 18 17 16
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