Vorticity
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nan 6 6 7 7 7 6 7 8 8 8 7 7 7 7 7 8 8 7 8 8 8 8 7 6 6 6 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 9 9 10 9 9 8 7 7 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 7 6 7 7 7 7 7 8 10 12 13 12 10 9 9 11 11 10 9 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 nan
nan 7 6 7 7 7 6 6 7 8 7 7 6 7 7 7 8 8 7 8 8 9 9 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 7 8 9 10 9 9 8 7 6 6 7 7 7 7 7 8 9 11 13 13 11 9 9 9 10 10 10 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 nan
nan 7 6 6 7 7 6 6 7 7 7 6 5 6 6 7 7 7 7 7 8 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 7 8 9 9 10 9 8 7 6 7 7 6 7 7 7 8 10 12 14 13 10 9 9 10 10 10 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 nan
nan 7 6 6 7 7 6 6 6 7 7 6 5 5 6 6 7 7 7 7 8 9 9 8 8 8 9 9 8 8 8 8 8 9 8 8 7 7 6 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 8 8 8 8 7 7 7 7 7 7 6 7 8 9 9 8 7 7 7 6 6 6 7 7 7 9 11 13 13 12 10 9 9 10 10 10 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 nan
nan 8 7 7 7 7 7 6 6 7 7 7 6 5 5 6 6 7 6 7 7 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 7 7 6 6 7 9 9 8 7 7 7 7 6 6 6 7 7 8 10 12 13 13 12 10 9 9 10 11 11 10 9 7 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 nan
nan 9 8 8 8 8 7 7 7 7 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 6 7 8 9 9 8 8 8 7 7 7 7 7 7 7 8 8 10 12 14 14 13 11 10 10 11 12 12 11 10 8 7 6 5 5 5 5 5 6 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 nan
nan 10 9 8 8 8 8 7 7 7 8 8 7 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 10 11 12 11 11 11 12 11 10 10 10 11 11 10 10 9 9 8 8 8 8 8 8 8 7 6 7 8 9 9 9 8 8 9 9 8 8 7 7 7 8 9 9 8 8 8 8 7 7 7 7 7 7 7 8 9 11 13 14 15 14 12 11 11 12 13 13 12 11 9 7 6 6 5 5 6 6 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 nan
nan 10 9 8 8 8 8 8 7 8 8 8 7 6 6 6 6 7 7 7 8 9 9 10 10 9 9 9 9 10 11 10 10 10 10 10 10 10 10 11 11 10 9 9 8 7 7 7 8 8 8 8 7 6 6 7 8 9 8 8 8 9 9 9 8 8 7 7 7 8 9 9 8 8 8 7 7 7 6 7 7 7 7 8 9 10 12 14 15 14 13 13 13 14 14 14 13 11 9 7 6 5 5 5 6 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 9 9 8 8 8 8 7 7 8 8 7 7 6 6 7 7 7 7 7 7 8 10 11 11 10 8 8 8 9 8 8 8 8 7 8 9 9 9 9 9 9 8 7 6 5 5 7 8 8 8 8 8 8 8 8 8 9 8 7 8 9 9 9 9 9 8 8 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 10 12 13 14 14 14 14 15 15 15 15 13 11 8 6 6 5 5 6 6 6 6 5 5 5 6 6 6 6 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 9 8 8 7 7 7 8 7 7 7 7 6 6 6 7 7 7 7 7 8 8 9 9 10 9 8 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 7 6 5 5 5 6 7 8 7 7 7 8 9 9 9 9 9 8 8 8 8 9 9 10 10 9 7 6 7 8 9 8 8 8 7 7 7 7 7 8 7 7 7 8 8 10 11 13 13 14 15 16 16 16 16 15 13 10 8 6 6 6 6 6 6 6 5 5 5 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 8 8 7 7 7 8 7 7 6 6 5 5 6 7 8 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 6 7 7 7 7 7 6 6 7 7 8 8 9 9 9 8 8 8 8 9 10 10 10 8 7 7 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 9 10 11 12 14 16 17 17 17 16 15 12 9 7 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 9 10 10 9 8 7 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 7 7 6 6 6 6 7 7 8 9 9 8 7 7 8 9 9 10 10 9 7 7 7 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 8 9 9 11 13 16 18 19 18 17 14 12 9 8 7 7 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 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 nan
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nan 6 5 6 7 8 8 8 9 9 8 8 8 9 9 9 9 7 5 6 6 7 7 7 7 7 6 5 5 5 5 6 6 7 8 8 8 8 7 6 6 6 6 6 6 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 7 9 11 15 19 21 20 17 14 12 11 11 11 11 10 10 10 9 9 9 8 8 7 7 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 6 6 7 8 8 7 8 9 8 9 9 9 9 9 8 6 5 5 6 7 7 7 7 7 7 7 6 6 6 5 5 5 6 7 7 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 8 10 14 18 20 18 16 13 12 12 12 12 12 12 13 12 12 11 10 9 8 7 7 7 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 6 6 7 7 7 8 8 9 9 9 9 9 9 7 6 6 6 6 7 7 7 7 7 8 8 7 7 6 5 4 4 4 5 6 7 8 7 7 6 6 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 11 15 18 18 17 15 13 12 12 12 12 14 14 15 14 13 12 11 9 8 8 7 7 7 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 6 6 7 7 7 8 8 9 9 10 10 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 5 4 4 4 5 6 7 7 6 5 5 5 5 6 6 5 5 5 6 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 6 6 7 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 9 12 16 17 17 16 14 13 12 12 12 13 14 15 16 15 14 13 11 10 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 6 6 6 6 6 7 8 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 6 5 5 5 5 6 7 7 6 5 4 4 5 6 6 6 6 6 7 7 8 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 9 12 15 16 16 16 14 14 13 13 13 14 14 15 16 16 15 13 11 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 6 6 6 6 6 6 6 6 6 8 10 11 11 10 9 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 6 5 5 6 7 7 6 6 7 7 8 8 7 6 6 6 6 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 10 12 13 15 16 15 16 16 16 15 14 14 15 16 16 16 14 12 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 5 5 5 5 5 5 6 6 6 7 8 9 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 7 7 8 8 8 7 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 7 7 8 7 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 9 10 11 12 13 14 14 15 16 16 16 15 14 15 16 16 16 14 12 10 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 6 7 7 6 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 6 6 6 6 5 6 6 7 7 7 7 8 9 9 8 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 7 8 9 10 11 10 9 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 9 9 9 9 10 9 9 9 9 8 8 8 8 9 8 8 8 9 9 9 9 10 11 12 12 13 14 16 17 17 16 15 15 16 16 16 14 12 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 7 7 6 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 nan
nan 8 9 8 7 7 7 7 7 7 7 8 8 9 9 7 6 6 6 7 7 8 8 8 8 8 8 8 9 10 10 10 9 9 9 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 7 8 8 9 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 10 9 9 9 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 11 12 14 17 18 18 17 16 15 16 16 16 14 12 10 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 7 7 7 6 6 6 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 nan
nan 9 9 8 7 7 7 7 7 8 8 9 10 10 9 8 8 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 7 7 7 7 6 6 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 10 11 11 10 9 8 8 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 10 13 15 18 19 19 18 17 16 16 16 16 14 12 10 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 7 7 7 6 6 5 5 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 nan
nan 9 8 7 7 7 7 7 8 8 9 10 10 10 9 9 9 9 9 10 10 10 10 9 9 10 10 11 12 12 11 10 9 8 8 8 8 8 8 8 7 6 5 5 7 7 8 9 9 10 10 8 7 6 6 5 5 6 7 7 8 8 9 10 11 11 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 9 9 8 9 11 13 15 18 20 21 20 18 17 17 17 16 14 12 10 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 nan
nan 9 9 8 7 6 6 7 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 9 8 8 9 9 9 8 8 7 6 5 6 7 8 8 9 10 10 8 7 6 5 5 5 5 6 7 7 8 8 9 11 11 11 10 10 9 8 7 7 7 8 9 9 10 10 11 11 11 10 10 11 11 11 11 10 10 11 11 11 10 11 11 11 11 11 11 11 12 12 12 11 10 9 9 9 9 9 11 12 15 18 21 22 21 20 19 19 19 18 16 13 11 9 8 8 8 8 8 8 8 8 8 8 7 7 7 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 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 nan
nan 9 9 8 8 8 7 6 7 8 9 8 8 8 9 9 9 9 9 10 11 11 11 11 11 12 12 11 11 10 11 11 10 10 9 9 9 9 9 9 9 7 6 6 6 7 8 8 8 9 8 8 7 7 6 6 6 7 7 7 7 6 6 7 9 10 11 11 10 9 8 7 7 7 8 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 12 12 11 10 9 9 9 9 10 10 10 11 14 17 20 22 22 22 23 24 24 23 20 16 13 11 10 9 8 8 8 8 8 8 8 8 8 7 7 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 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 9 8 9 9 9 8 7 8 9 9 9 9 9 10 10 9 8 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 8 8 8 9 9 8 8 7 7 8 8 9 9 8 7 7 7 7 7 7 8 8 9 8 7 5 4 5 6 8 9 10 10 10 9 8 8 8 9 10 10 10 10 11 10 11 11 10 10 9 9 10 10 10 10 9 9 9 9 9 8 9 9 10 10 11 11 11 11 10 10 11 11 11 10 10 10 10 11 13 16 19 22 24 24 26 28 28 27 23 19 15 13 11 10 9 8 8 8 8 7 8 8 8 8 8 8 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 9 9 10 10 9 9 9 10 10 10 10 10 11 10 10 9 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 8 7 7 7 8 8 9 9 9 9 8 9 9 10 9 7 6 6 6 7 8 9 10 10 9 8 7 7 7 6 6 7 8 10 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 10 10 10 9 8 8 8 9 10 10 11 11 11 10 11 11 11 11 10 10 10 11 11 11 13 15 18 20 20 21 22 24 26 26 24 21 17 15 13 11 10 9 8 8 7 7 7 8 8 8 8 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 9 10 10 9 10 11 11 10 9 9 9 10 10 10 10 9 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 8 9 10 10 10 9 9 10 10 10 8 6 5 5 6 8 9 10 10 9 8 9 9 8 6 5 5 6 9 10 10 10 10 11 11 12 11 11 10 9 9 9 9 9 9 8 8 9 10 10 9 8 9 10 10 9 9 9 8 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 13 14 14 14 13 15 19 23 24 23 21 19 17 15 13 12 10 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 10 10 10 10 11 10 10 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 8 7 7 6 6 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 11 11 9 7 6 6 6 7 7 8 8 8 8 8 9 8 7 6 5 6 8 9 10 11 11 11 11 11 11 11 10 9 8 8 8 8 8 7 7 7 8 8 8 8 9 10 10 9 9 9 8 9 9 9 10 10 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 10 14 18 21 22 22 21 20 19 17 16 14 12 11 9 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 6 6 6 6 6 6 6 6 nan
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nan 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 9 9 9 8 9 10 11 12 11 10 8 8 9 10 11 10 9 9 10 11 11 11 11 10 9 9 9 9 9 9 8 7 7 7 8 10 10 10 10 11 12 11 11 10 9 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 10 10 10 10 10 10 10 11 11 11 10 9 8 8 9 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 9 10 10 10 9 9 9 10 10 11 10 10 10 11 11 10 10 10 9 9 8 8 7 9 10 10 11 11 11 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 10 10 9 8 9 9 10 11 11 11 11 11 11 13 15 15 15 14 13 13 13 14 14 14 14 12 11 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 9 9 8 9 9 10 10 10 10 9 10 10 11 11 11 12 11 11 10 8 8 8 9 10 11 12 12 11 11 9 8 8 8 8 9 9 10 10 9 10 11 11 11 11 11 10 10 10 10 10 11 10 10 10 11 11 10 10 10 11 11 10 10 10 10 10 11 10 10 11 11 12 12 13 13 12 10 9 9 11 13 14 14 13 11 8 7 8 10 10 9 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 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 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 10 10 10 11 11 10 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 9 8 9 9 10 11 12 13 12 10 9 8 9 9 10 11 12 12 11 11 9 8 8 7 7 8 8 8 8 8 8 9 10 10 10 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 9 9 10 10 11 11 11 10 9 6 3 3 4 6 7 8 9 8 5 3 4 9 11 11 8 7 7 8 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 8 8 7 8 8 7 6 6 7 9 10 11 12 11 9 8 8 9 10 11 11 11 11 10 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 9 10 11 11 10 9 8 8 8 8 8 9 10 9 9 10 10 11 11 12 11 11 10 9 9 9 10 10 10 11 10 8 6 4 4 5 5 5 5 5 4 1 1 5 10 11 8 6 6 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 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 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 7 7 6 6 7 8 7 6 6 7 7 7 6 6 7 9 9 9 9 9 7 7 7 8 10 11 11 11 11 10 8 8 9 9 10 10 10 10 10 9 9 9 9 8 8 9 10 11 11 9 7 6 7 8 8 9 10 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 10 11 11 10 9 9 9 8 8 7 7 7 6 5 7 10 12 11 8 7 9 10 10 11 11 11 11 11 11 10 11 12 12 12 11 10 9 9 9 9 9 10 10 nan
nan 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 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 8 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 7 6 5 5 6 7 7 7 7 8 7 7 7 9 10 10 9 8 8 7 6 6 6 7 8 9 10 10 10 9 8 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 8 6 5 7 9 10 11 11 9 9 9 8 8 9 9 9 10 10 10 10 9 9 8 8 9 10 10 10 10 10 10 10 10 10 11 11 11 12 14 16 17 14 13 13 13 13 13 12 12 11 11 10 10 11 13 15 14 12 9 8 8 8 8 9 9 9 10 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 5 4 4 5 7 9 10 11 12 13 13 14 14 14 12 11 9 8 8 8 9 10 9 9 8 8 10 11 10 10 9 8 8 8 8 7 7 6 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 8 6 7 8 9 11 11 11 10 10 9 8 8 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 12 13 14 16 18 17 16 16 16 16 16 16 15 13 12 11 11 11 13 16 16 13 9 7 6 7 8 9 9 9 9 10 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 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 8 8 7 6 6 6 6 6 6 6 6 6 5 4 5 7 9 11 13 16 17 19 20 21 21 20 19 18 16 15 13 13 13 13 12 10 9 9 11 10 10 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 9 9 10 9 9 9 9 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 13 14 14 15 15 15 14 12 12 14 14 14 14 15 14 10 7 7 9 10 10 10 9 9 8 8 nan
nan 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 13 14 15 14 13 11 11 10 10 10 10 10 9 9 8 8 8 8 8 7 7 6 6 5 4 5 7 8 9 9 9 9 8 8 8 9 10 12 15 17 19 20 20 20 20 19 18 17 17 16 16 16 16 16 15 13 11 12 12 11 10 9 9 10 10 10 11 11 10 10 10 10 10 9 8 8 9 9 9 10 9 9 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 11 13 13 13 11 9 8 9 9 9 8 8 7 7 8 8 9 9 9 9 9 10 11 11 12 12 12 11 11 13 15 15 14 14 15 14 12 11 12 13 13 12 10 8 7 6 7 nan
nan 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 14 16 18 19 19 16 14 13 12 11 10 9 8 6 5 4 5 6 6 6 6 6 5 5 5 5 6 8 9 10 11 11 11 11 10 10 9 9 9 10 12 14 15 15 15 14 14 14 13 12 12 12 13 15 16 16 16 16 16 15 13 10 8 9 11 12 12 12 11 11 10 10 11 11 10 9 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 8 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 11 13 14 14 12 10 10 9 9 8 7 7 6 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 12 13 13 12 13 15 15 14 12 11 10 9 7 5 3 4 5 6 nan
nan 9 9 10 10 11 11 11 11 10 10 9 9 8 8 9 10 10 11 10 10 11 12 13 16 18 20 19 19 18 17 16 14 12 10 7 4 3 2 3 5 5 5 6 6 6 5 6 6 6 7 7 7 8 8 9 9 10 10 10 7 4 2 2 3 6 8 9 10 11 11 11 11 10 9 9 9 11 12 13 15 16 17 17 15 12 10 11 12 13 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 7 8 8 8 7 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 9 10 11 12 13 14 13 12 11 10 8 7 6 6 7 8 8 8 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 12 13 12 9 4 0 -2 -2 -2 -1 1 4 6 8 nan
nan 9 10 10 11 12 12 12 11 11 10 9 8 7 8 8 9 10 10 10 10 10 11 12 15 17 17 16 16 16 17 17 16 14 11 8 6 5 6 8 9 8 7 6 6 6 6 7 7 8 7 6 5 5 6 7 9 10 10 10 6 1 -2 -4 -4 -2 1 2 4 6 8 10 10 10 9 9 8 9 9 10 11 12 13 14 14 13 12 13 14 14 12 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 9 8 7 7 7 8 7 7 7 8 9 10 10 9 9 9 10 10 9 9 9 9 9 8 8 8 8 9 9 10 11 12 12 12 12 10 8 7 6 6 6 8 8 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 6 1 -4 -7 -6 -4 -2 1 4 6 8 9 nan
nan 9 10 11 11 12 11 11 10 9 8 7 7 7 7 7 6 7 8 8 8 8 9 11 14 14 13 13 13 14 15 15 15 14 13 11 10 9 10 10 10 8 7 7 7 7 8 8 9 9 8 7 6 5 6 8 10 11 12 12 8 4 0 -2 -3 -2 -2 -1 0 1 3 5 7 9 10 9 9 9 9 9 9 9 10 10 11 12 13 14 16 16 14 11 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 8 7 7 7 7 8 8 8 9 9 10 11 11 10 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 11 11 11 10 10 8 6 5 5 5 7 8 8 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 6 1 -4 -6 -5 -2 1 4 6 7 9 10 10 nan
nan 9 10 11 11 10 9 8 7 5 5 5 5 7 7 6 6 5 6 6 6 8 10 13 13 11 11 10 10 11 11 11 12 12 12 11 11 11 10 9 9 8 8 8 9 10 10 11 10 10 10 9 8 7 7 9 10 11 12 12 11 9 7 5 4 4 3 3 4 3 2 2 3 6 8 9 9 9 9 9 9 9 9 9 9 10 10 12 14 15 14 13 11 9 8 9 10 10 10 11 11 11 10 9 9 8 8 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 8 8 7 7 8 8 8 9 10 10 10 9 8 8 6 5 5 4 5 7 8 9 10 11 11 10 11 10 10 11 10 10 10 10 10 10 9 9 9 9 8 5 1 -5 -7 -6 -2 2 5 7 8 9 10 10 10 nan
nan 9 10 10 9 8 6 5 4 4 4 5 6 8 9 10 9 8 7 6 7 9 12 13 11 10 9 8 8 8 8 8 8 9 10 11 11 11 10 9 9 9 10 11 12 13 13 13 12 12 12 11 10 9 9 10 10 10 11 11 11 11 10 9 8 8 8 10 11 10 7 4 3 3 5 7 8 9 9 9 9 8 8 8 8 9 9 9 11 12 12 12 11 11 10 10 10 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 8 8 9 9 10 10 10 9 9 8 7 7 8 9 9 9 9 9 9 8 7 6 5 5 5 5 7 8 8 10 11 11 11 10 10 10 10 11 10 10 10 10 10 9 9 10 10 9 6 0 -5 -7 -6 -3 2 5 7 9 10 10 11 11 11 nan
nan 10 9 9 7 6 5 5 6 7 8 9 9 11 12 13 12 11 9 9 10 12 13 12 10 8 7 7 7 6 6 6 6 7 9 10 11 11 9 9 9 10 10 12 13 13 13 13 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 8 8 7 10 12 14 13 11 7 4 4 5 6 8 9 9 8 8 9 8 8 8 8 8 9 9 10 10 11 11 11 12 12 12 12 12 12 11 11 11 10 9 9 8 9 9 8 8 8 8 8 9 9 10 9 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 9 9 8 7 7 7 8 9 8 7 6 6 6 7 7 8 9 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 4 -0 -2 -2 0 3 6 7 8 10 10 11 11 11 11 nan
nan 9 8 7 7 7 8 9 11 12 13 14 13 12 12 12 11 10 10 11 13 13 13 11 9 7 6 6 6 6 6 6 6 6 8 9 10 10 9 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 7 5 3 4 7 10 12 12 10 7 6 5 5 6 7 8 8 9 9 9 9 8 8 8 7 8 9 9 9 10 10 11 12 13 13 13 12 10 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 5 4 4 6 9 10 8 7 7 7 6 7 7 8 9 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 10 11 11 10 8 7 7 8 8 7 7 8 9 10 11 11 11 11 11 nan
nan 8 8 8 8 10 11 13 14 15 15 15 14 12 11 10 10 10 10 11 12 12 10 9 8 7 6 6 6 6 6 6 6 7 8 9 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 9 9 8 6 3 -1 -1 1 4 7 8 8 8 7 7 7 6 6 7 8 8 9 9 9 9 8 7 7 8 8 9 9 9 9 9 10 11 12 12 10 7 5 6 8 9 9 9 9 9 9 9 9 9 10 11 12 11 10 10 9 10 9 9 8 7 6 7 9 10 10 10 10 11 10 9 6 3 3 4 8 10 10 8 7 6 6 6 7 8 9 10 10 10 10 11 12 12 13 12 11 10 10 10 10 10 10 11 11 11 11 12 13 14 12 9 7 6 7 9 10 11 11 10 10 10 nan
nan 8 8 9 11 11 12 12 13 12 12 11 11 10 10 10 10 10 10 10 11 10 10 9 8 8 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 11 10 10 10 10 9 9 8 7 4 1 1 2 4 5 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 7 7 7 8 9 9 9 9 9 10 10 9 9 10 11 12 12 11 11 10 10 8 7 5 4 4 6 8 10 10 10 10 10 9 6 3 2 3 6 9 10 9 8 7 7 8 8 9 9 9 10 9 9 10 12 13 14 14 12 11 11 10 10 10 11 11 11 12 11 11 12 13 11 6 3 2 4 7 9 10 10 10 10 10 10 nan
nan 8 9 11 11 11 10 9 8 8 7 6 7 7 8 8 9 10 10 10 11 11 12 12 11 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 10 10 9 9 10 10 10 10 10 10 9 9 8 8 7 7 6 7 8 8 9 10 11 11 10 9 9 9 10 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 9 7 6 5 4 5 6 8 9 9 9 8 7 6 3 2 3 5 8 10 10 9 9 10 11 12 12 11 10 10 9 9 9 11 11 12 14 13 12 11 10 9 10 10 11 11 11 11 11 11 11 8 4 0 -1 0 5 8 10 10 10 10 10 10 10 nan
nan 8 9 10 9 8 7 6 5 4 4 5 6 6 7 8 9 10 10 10 10 11 13 13 12 11 10 9 9 8 8 7 7 8 8 7 5 4 5 6 8 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 11 12 13 16 18 17 14 11 10 9 10 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 10 9 8 7 6 7 8 8 9 10 9 8 7 5 4 4 4 5 7 9 10 10 11 12 13 14 15 15 13 12 11 10 9 10 10 10 11 13 12 11 10 8 8 9 10 11 11 11 10 10 9 9 6 3 1 1 4 8 9 10 10 10 10 11 11 11 nan
nan 8 8 8 8 7 6 4 3 3 4 5 6 6 7 8 10 10 10 9 10 11 11 11 11 11 11 11 10 9 8 8 8 8 8 6 3 2 3 6 9 10 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 11 11 11 15 21 23 22 17 13 10 10 9 9 9 8 8 9 9 9 8 8 8 8 10 10 9 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 11 11 10 9 9 9 10 11 11 10 10 9 8 8 9 10 11 12 11 10 8 7 5 5 6 8 9 10 11 11 12 12 13 14 14 15 15 15 13 11 10 10 10 10 10 12 12 11 10 8 7 8 9 10 11 10 10 9 8 8 8 7 7 6 7 9 10 10 11 11 11 11 11 11 11 nan
nan 7 8 8 7 7 6 4 4 4 4 5 6 6 7 8 9 9 9 9 9 11 11 11 11 11 12 12 11 10 10 9 9 9 9 6 2 1 3 7 10 10 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 9 10 11 11 10 9 13 19 22 21 17 13 11 10 9 9 8 8 8 8 9 9 9 8 8 9 10 10 10 9 8 9 9 10 10 10 10 10 11 11 11 11 11 12 13 13 12 11 9 8 7 7 8 10 10 10 9 9 9 9 9 10 11 13 14 12 10 9 8 8 9 10 11 11 11 11 11 11 12 12 13 13 14 15 15 13 11 10 10 10 10 11 11 10 9 8 7 7 8 9 9 10 9 9 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 10 10 10 nan
nan 7 7 7 7 6 5 4 5 6 7 7 7 8 9 9 9 8 7 8 9 10 10 10 11 11 12 12 12 12 11 11 11 10 9 6 2 2 4 8 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 10 10 10 8 7 10 14 16 16 14 12 12 11 10 9 8 8 8 8 9 9 9 9 9 10 11 11 11 9 8 8 8 8 8 8 9 9 10 10 9 9 10 12 12 11 9 6 5 3 3 4 6 7 7 6 5 6 8 10 11 11 11 13 12 11 10 10 10 11 11 11 11 10 9 9 9 10 11 12 13 14 14 14 14 13 11 10 10 9 9 10 10 9 9 8 7 8 9 9 9 9 8 8 8 8 9 9 11 11 11 12 12 12 12 12 11 10 10 10 9 9 nan
nan 6 6 6 4 3 3 4 6 9 10 9 9 9 9 9 8 7 7 7 8 8 8 8 10 11 12 12 13 13 13 13 12 12 10 6 4 4 6 8 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 7 7 8 10 11 12 11 11 12 12 11 9 9 9 8 8 8 9 10 10 11 12 12 12 11 9 8 7 5 5 5 6 6 7 7 6 5 6 7 9 8 6 3 2 2 2 3 5 5 5 3 2 2 4 7 9 10 10 10 10 9 9 9 9 10 10 9 9 8 7 7 7 8 10 12 13 13 14 14 14 13 11 10 9 8 7 8 8 8 9 9 9 9 9 8 9 8 8 8 8 9 9 10 10 11 11 12 13 13 13 13 11 10 9 9 8 8 8 nan
nan 6 6 4 3 2 4 6 8 9 8 7 7 8 8 8 8 8 8 8 8 7 7 7 8 10 11 12 12 13 13 13 13 13 11 8 7 8 9 10 9 8 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 9 7 6 7 8 10 10 10 11 11 12 11 10 9 9 9 8 9 9 10 10 11 12 13 13 11 9 7 6 4 4 5 5 5 5 5 4 4 5 6 6 5 3 3 3 4 6 7 8 8 7 6 5 6 6 7 7 7 7 8 8 8 7 7 7 8 8 7 6 6 7 7 8 10 12 12 13 12 12 12 12 11 10 9 8 7 7 7 8 9 10 10 10 9 8 8 8 8 9 9 9 10 10 11 11 11 12 13 14 13 13 12 10 9 8 8 7 7 8 nan
nan 6 6 5 4 5 7 8 9 8 6 5 6 7 8 8 8 9 9 10 10 9 8 8 8 9 10 11 12 12 13 13 13 13 12 10 10 11 11 11 9 8 7 7 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 7 7 6 7 8 8 9 8 7 6 6 8 10 10 10 10 11 12 11 10 9 9 8 9 9 10 10 10 11 12 12 12 10 9 8 7 6 5 6 6 6 6 6 6 6 7 7 7 7 6 6 7 8 9 10 11 10 10 10 11 11 10 9 8 8 9 10 11 10 9 8 8 9 10 10 11 11 10 10 11 12 12 12 11 11 11 11 10 10 10 9 8 9 8 8 9 9 10 10 9 8 8 8 8 8 9 10 10 11 12 13 13 13 13 13 13 13 13 12 10 9 8 7 7 7 8 nan
nan 7 7 8 8 9 10 10 9 8 7 8 8 9 9 8 9 9 10 10 10 10 9 7 8 9 10 11 11 12 12 12 12 12 11 11 11 11 11 11 10 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 9 8 8 7 7 7 7 7 7 6 5 6 8 10 10 10 10 11 12 11 10 9 8 8 8 9 9 10 10 11 12 13 11 10 9 8 8 7 7 7 7 8 9 9 8 8 8 9 9 8 8 9 9 10 10 11 11 12 12 12 13 13 13 12 12 13 15 16 16 14 12 12 12 14 15 16 16 15 14 14 13 13 12 11 11 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 8 7 8 8 8 8 9 10 12 13 14 14 14 14 13 12 11 12 13 12 11 10 10 11 10 10 9 nan
nan 10 11 11 12 11 11 11 10 10 10 10 10 10 9 8 8 8 8 9 9 9 7 6 7 8 9 10 11 11 11 11 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 7 6 6 6 5 4 6 8 9 9 10 10 11 11 9 8 7 6 6 7 8 9 10 11 11 12 12 11 9 8 7 7 8 8 8 8 10 11 11 11 11 12 11 11 10 10 10 10 11 12 13 13 14 15 14 13 13 14 15 16 18 19 19 17 15 14 14 14 16 16 16 16 15 14 14 13 12 10 10 10 10 10 11 12 13 13 14 13 11 10 9 9 9 8 8 7 7 8 8 8 8 9 11 13 15 16 15 15 14 13 12 11 12 12 12 14 16 18 18 16 14 13 nan
nan 13 13 13 12 11 11 10 10 10 10 10 10 9 8 7 7 6 6 7 8 7 6 6 6 7 9 9 10 11 11 10 10 9 10 10 10 10 10 10 9 9 8 8 8 9 10 10 10 11 11 12 11 10 9 8 7 8 8 8 8 8 7 7 6 6 6 6 5 5 6 8 9 9 9 10 9 9 8 8 7 6 6 7 7 8 10 10 11 10 10 10 9 8 7 7 7 8 8 8 10 11 12 14 15 15 14 13 12 12 13 13 15 16 17 18 18 17 14 12 12 14 16 18 19 19 19 17 15 14 13 13 14 13 13 14 13 13 13 11 10 10 10 10 10 11 12 14 15 15 15 13 11 9 8 8 8 7 7 7 7 8 8 8 9 10 12 14 15 15 15 15 14 13 12 11 10 10 12 16 20 22 21 20 20 20 nan
nan 13 13 12 11 10 10 10 10 9 9 9 9 9 8 8 7 6 6 7 7 7 7 6 6 7 8 9 9 10 10 10 10 9 10 10 10 10 10 9 9 8 7 7 8 9 10 11 11 11 11 12 12 11 10 8 7 8 8 8 9 8 7 6 6 6 6 6 5 6 7 8 8 9 9 9 9 9 10 10 9 7 6 6 7 9 10 10 10 9 10 10 9 8 8 7 7 7 7 8 9 10 11 12 13 13 13 13 13 14 15 16 18 19 19 19 18 16 12 10 11 12 14 17 20 22 22 20 17 14 12 12 11 11 12 13 13 13 11 10 10 10 10 9 10 11 12 13 14 15 14 12 9 8 7 7 7 6 6 8 9 9 8 8 9 10 12 13 13 14 14 15 14 13 12 10 8 8 10 13 16 17 17 19 21 23 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
36 39 35 26 16 10 8 11 8 4 1 1 1 1 1 1 1 1 2 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 2 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 2 1 0 0 0 0 0 0 0 0 0 1 3 5 6 7 6 7 8 9 9 9 9 8 6 5 6 7 7 8 9 10 11 12 13 14 15 16 17 15 14 13 13 12 12 12 12 12 12 12 11 11 11 10 9 8 7 7 6 6 8 10 12 14 15 16 15 15 14 13 12 11 10 9 9 10 11 12 12 12 12 12 11 11 12 12 12 12 11 11 13 14 15 15 15 14 13 11 11 16 18
44 42 39 33 23 13 11 13 12 7 4 1 0 0 0 2 2 3 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 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 1 2 5 6 7 6 6 7 8 9 9 10 11 9 8 7 7 8 9 10 11 11 12 13 14 14 15 17 14 13 13 13 13 12 12 12 11 11 11 10 10 9 8 8 7 5 5 7 7 8 10 11 12 13 13 13 13 13 13 12 11 10 9 9 9 8 9 9 10 11 12 11 11 11 11 11 11 11 11 12 13 14 14 14 15 14 12 11 13 16
52 45 43 41 32 21 16 14 13 9 5 1 0 0 0 4 6 6 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 6 6 7 7 8 9 9 10 12 10 9 9 9 10 10 12 13 14 14 15 15 15 15 16 15 13 13 12 12 12 11 11 11 10 10 9 9 8 7 6 5 6 7 7 8 8 9 9 10 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 8 9 10 10 10 10 10 11 11 10 10 11 12 13 14 14 14 13 12 11 13 17
62 52 49 46 40 34 25 17 14 11 7 2 0 0 1 6 8 8 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 0 0 0 0 0 2 5 7 7 7 7 7 9 8 10 10 11 12 13 13 14 14 13 12 12 13 16 17 18 18 17 15 14 13 13 12 11 10 11 11 11 10 9 8 7 6 5 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 9 9 9 9 9 8 7 7 7 8 9 10 10 10 11 11 10 10 11 12 12 12 14 14 13 11 10 12 16
79 63 53 48 47 43 32 22 17 14 11 9 6 7 9 11 12 11 10 9 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 7 8 8 7 8 8 9 11 13 14 15 16 16 16 14 13 14 16 17 19 20 21 20 17 14 13 13 11 10 10 10 9 9 9 8 7 6 5 5 6 6 6 6 6 5 5 5 4 5 5 5 6 6 7 8 8 9 9 8 8 8 8 7 7 6 7 8 9 10 10 10 10 10 10 10 11 11 11 13 13 12 10 9 9 13
98 81 67 58 53 49 35 25 20 18 16 14 13 12 13 14 15 15 15 13 11 8 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 7 7 8 8 9 11 13 14 15 17 17 17 17 17 17 18 18 19 20 20 21 19 15 13 12 11 10 10 8 7 7 7 7 6 5 5 5 6 6 6 6 5 4 4 3 3 3 3 4 3 4 5 5 5 6 7 8 8 8 8 7 7 7 6 6 7 9 10 10 10 10 9 9 11 11 12 12 12 12 12 9 8 11
113 97 80 67 59 55 45 33 25 22 20 18 16 16 15 16 17 17 17 15 13 10 9 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 7 7 7 7 9 11 13 14 15 16 18 19 19 18 17 16 18 18 19 20 20 19 16 13 12 12 11 10 8 6 6 5 5 5 5 5 5 6 7 6 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 7 7 8 8 7 6 6 6 6 7 9 9 10 9 8 10 10 11 11 12 13 12 12 10 9 11
116 101 83 69 64 62 51 38 30 26 22 19 18 18 18 18 19 19 18 16 14 12 11 9 8 8 6 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 2 5 6 7 7 7 8 11 12 13 14 15 17 18 17 16 15 15 15 16 17 19 20 20 18 14 13 13 12 11 9 7 6 5 5 5 5 5 5 6 6 6 5 4 3 3 4 3 2 3 3 3 3 3 3 3 3 4 4 5 5 7 8 7 6 6 6 6 6 7 8 9 8 7 7 8 9 10 9 10 10 11 10 10 11
106 96 81 67 65 64 56 47 39 31 26 22 22 22 22 22 22 21 20 18 16 15 13 12 11 10 9 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 1 2 3 5 6 8 8 8 10 12 12 13 14 16 17 17 15 13 13 13 14 16 17 18 18 20 19 17 15 13 12 11 9 8 6 6 5 5 5 5 6 6 6 5 4 4 3 3 2 2 3 3 2 2 2 3 3 3 3 3 3 4 4 6 6 6 6 6 6 6 6 6 7 7 7 6 6 7 6 5 7 8 9 10 11 10
92 88 79 69 64 61 58 58 57 48 37 31 30 30 29 27 25 24 22 21 18 16 15 13 13 12 11 9 6 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 2 3 4 5 7 8 9 11 12 13 14 15 16 17 18 16 14 13 14 15 16 17 18 18 20 21 20 18 16 14 13 11 9 7 6 6 5 5 6 7 6 5 5 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 7 9 10 9
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44 51 49 53 53 51 49 49 49 50 49 47 46 42 42 41 37 32 26 22 21 18 16 14 12 10 9 9 6 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 2 4 5 8 11 11 12 15 18 24 28 29 28 30 32 38 41 38 36 36 35 35 34 32 28 26 24 23 23 21 17 14 11 10 9 9 8 6 5 5 6 5 4 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 2 2 3 4 4 4 4 3 5 6 7 7 7 8
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1 6 13 18 23 27 33 41 48 46 34 29 28 30 34 37 37 38 37 19 6 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 6 5 6 10 10 15 16 16 23 33 40 40 38 41 45 44 41 44 50 52 50 46 42 40 36 35 33 30 27 23 20 17 14 12 11 10 8 6 6 6 5 5 5 5 4 4 4 4 2 2 2 1 1 2 1 1 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6 8 10
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1 2 4 4 4 4 7 15 24 38 49 48 44 42 41 38 36 34 28 21 15 11 8 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 9 14 21 24 24 24 21 19 31 37 39 40 44 46 46 49 51 54 59 65 66 58 51 45 41 38 35 32 32 28 26 21 17 14 12 11 10 9 9 7 5 4 3 2 1 1 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 5 5 6 6 7 5 5 6 7 9 11
3 4 6 4 3 3 3 6 11 24 45 52 54 55 52 45 42 38 31 25 19 14 10 7 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 1 5 4 10 17 24 32 38 33 27 30 35 40 44 50 53 53 54 54 58 69 81 84 74 62 52 45 42 41 38 36 32 31 25 19 17 14 12 10 9 9 8 7 6 5 5 4 3 2 1 1 1 2 3 3 4 4 3 3 4 4 4 5 5 5 5 5 5 6 6 5 7 9 8 8 7 7 7 8 12
4 8 9 7 4 3 3 3 5 13 38 51 58 63 66 63 57 47 32 23 17 11 7 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 2 6 13 25 40 35 31 32 36 43 51 60 65 67 63 57 61 76 87 91 87 78 67 55 47 45 44 43 39 36 31 24 20 16 12 10 9 9 9 9 9 9 8 8 7 6 6 4 4 4 3 3 4 4 5 5 5 5 6 6 6 5 6 5 5 5 5 6 7 10 10 9 8 7 6 8 12
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8 8 7 8 9 11 9 6 5 5 6 9 14 18 20 24 27 26 23 20 17 14 12 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 30 61 81 84 69 58 58 56 56 65 81 78 76 86 102 115 115 115 110 101 91 81 72 61 55 50 44 38 31 24 19 17 14 9 6 7 6 7 8 7 7 7 7 8 8 7 5 4 4 4 4 4 5 5 5 5 5 5 6 8 10 11 10 8 6 8 10 11 11 13 15
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13 13 12 9 6 3 4 6 10 12 17 22 26 26 25 23 23 25 28 30 30 28 27 25 24 22 20 16 11 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 0 0 0 6 30 61 87 102 102 91 57 50 53 64 74 75 60 68 84 101 114 117 111 104 100 94 85 75 67 60 50 43 34 26 19 15 12 10 9 8 8 8 9 9 9 10 10 11 12 13 13 13 12 10 11 11 12 12 12 11 11 11 11 10 9 11 13 17 20 22 18 16 16 18
14 13 13 12 10 9 9 8 13 17 21 24 25 25 26 27 32 31 28 29 31 33 33 32 31 32 32 28 23 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 41 67 91 106 106 77 63 62 66 75 84 58 54 64 85 110 124 111 99 96 93 85 76 70 63 56 50 40 32 28 21 16 13 11 10 9 10 10 10 10 10 10 10 12 13 15 17 16 15 14 13 14 13 13 13 14 13 11 9 9 12 16 20 21 20 18 16 17 18
9 8 10 11 12 12 10 12 12 15 17 18 20 24 27 30 36 32 27 29 33 35 35 34 34 35 37 36 34 25 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 20 41 69 94 105 96 84 75 71 74 83 64 50 49 62 84 112 104 97 97 98 93 82 72 66 61 55 46 37 31 25 19 16 14 13 13 12 11 10 10 9 9 9 9 9 11 15 17 17 15 16 16 16 15 15 15 14 9 9 10 14 17 19 19 19 17 17 17 16
14 13 13 13 13 15 14 17 17 18 19 21 22 22 25 27 29 29 30 33 37 39 38 39 40 39 38 38 37 32 21 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 15 37 53 63 73 82 81 81 83 84 75 63 54 51 64 84 87 89 94 96 87 79 73 68 62 56 49 41 34 29 21 17 15 14 13 13 13 11 9 9 10 10 10 9 12 15 18 21 21 22 22 22 20 17 17 17 15 16 15 16 19 19 18 16 17 18 17 17
21 19 19 18 15 13 15 18 20 21 22 21 21 22 24 26 30 35 39 41 41 43 42 43 42 41 40 41 43 39 33 25 16 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 19 26 29 29 48 70 84 91 89 80 74 58 65 70 69 72 81 86 84 82 77 70 62 55 49 43 37 32 26 21 17 14 12 13 12 12 11 10 11 12 13 14 15 16 20 23 24 25 26 27 27 25 24 23 23 22 21 21 22 19 17 16 17 18 19 21
30 28 26 24 20 15 13 16 19 22 24 23 22 24 27 31 34 39 45 45 46 48 52 53 51 47 43 45 48 46 43 35 24 10 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 12 8 13 35 62 84 93 84 76 69 65 61 58 62 70 76 79 83 82 73 61 52 46 43 40 36 30 25 21 19 15 16 17 16 15 13 14 16 18 21 22 23 26 28 30 30 30 30 34 34 30 28 28 27 26 25 23 20 18 15 16 17 19 23
29 29 28 25 22 18 13 14 17 20 23 24 25 27 31 36 39 42 45 49 52 54 57 61 62 58 52 52 51 50 47 41 32 21 8 4 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 0 0 0 0 0 0 0 0 1 1 1 0 3 15 35 58 77 82 81 65 59 57 55 56 59 64 69 76 74 65 56 49 43 41 40 36 31 27 24 21 20 21 21 21 20 18 19 20 24 27 29 32 34 37 40 42 42 40 43 42 36 32 32 31 32 29 25 22 20 18 16 17 21 25
30 29 27 24 21 19 13 15 18 20 23 24 26 29 33 38 43 44 46 52 55 57 58 60 63 65 63 61 58 53 48 45 42 38 26 16 9 4 2 2 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 1 9 22 40 58 73 84 76 62 54 51 49 52 53 55 55 54 52 50 46 41 38 37 36 33 31 26 23 21 21 22 22 20 20 20 21 24 27 32 37 44 48 48 48 49 49 50 48 43 39 40 43 42 36 31 27 24 23 21 21 23 27
27 24 21 20 18 18 14 16 19 21 23 25 26 31 32 37 42 41 42 46 50 55 60 62 63 65 63 61 56 50 45 44 44 46 43 34 24 14 7 4 8 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 19 33 50 61 77 77 61 50 42 39 41 42 43 44 46 45 44 42 39 36 33 32 33 31 29 27 25 25 25 24 24 25 26 27 31 34 40 47 53 56 56 57 57 56 56 54 49 45 45 48 46 40 36 32 29 29 28 28 28 30
27 24 20 17 13 16 15 16 18 19 22 24 24 27 29 33 38 39 38 42 44 47 53 61 65 67 65 62 57 52 48 44 45 48 49 45 37 25 13 10 11 10 10 10 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 5 10 22 39 50 60 66 55 37 25 21 22 26 31 37 40 40 39 36 33 29 27 27 28 29 30 31 31 31 31 33 35 36 35 35 38 43 48 53 57 60 62 63 64 64 62 59 53 53 53 54 50 43 38 38 35 35 37 38 39 38
20 21 21 17 11 11 13 14 15 16 19 21 22 24 26 29 33 35 36 39 41 42 43 47 49 56 62 64 62 57 52 51 53 55 55 54 49 37 24 19 15 13 14 15 15 7 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 2 7 14 24 36 39 20 12 7 5 6 11 19 27 32 32 32 30 29 26 25 25 25 26 28 30 32 34 35 37 40 41 39 39 42 46 51 55 58 61 65 67 68 68 65 61 56 55 58 58 54 48 44 45 46 47 49 50 50 49
20 22 26 20 13 10 11 13 14 14 15 18 20 22 25 28 30 33 35 39 41 43 46 48 51 55 57 61 63 62 61 61 62 63 63 64 59 48 33 25 19 14 14 17 19 16 9 4 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 1 2 5 11 14 4 1 0 0 1 1 5 10 15 18 21 24 24 24 24 24 25 26 27 30 31 31 32 34 36 35 35 39 44 48 50 56 61 66 69 70 72 71 66 64 63 62 62 63 63 60 56 56 57 57 60 62 61 59
37 40 39 28 20 15 14 16 16 15 16 16 18 21 25 28 30 33 38 39 41 45 51 57 60 63 60 60 63 64 66 69 71 71 70 69 65 53 36 28 21 15 12 15 18 19 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 0 0 0 0 0 1 3 5 8 12 15 19 22 24 26 27 30 30 31 34 34 33 33 35 42 48 51 52 54 61 68 73 77 79 80 79 76 76 76 75 75 74 75 71 67 67 69 65 71 71 67 64
32 34 33 27 21 18 18 19 19 18 18 16 16 18 22 27 31 35 39 40 43 49 57 63 65 67 67 67 68 71 75 78 80 82 81 77 71 59 41 38 29 19 15 13 14 14 11 8 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 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 14 21 25 28 29 29 30 30 31 36 40 48 57 63 67 68 69 74 78 80 83 87 92 94 93 92 92 86 84 86 83 79 78 78 78 82 82 78 72 68
12 11 10 9 9 10 11 13 14 16 15 12 11 16 23 27 30 35 39 42 48 56 62 64 67 70 73 76 78 79 80 84 86 88 88 86 82 74 55 44 35 28 20 13 11 10 10 9 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 1 1 1 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 5 13 18 22 27 31 34 39 46 52 56 62 71 79 83 84 82 80 82 87 96 108 120 127 132 137 137 132 119 110 100 90 85 83 83 84 83 78 75 71
3 3 2 2 1 3 3 3 5 6 6 4 10 18 24 25 25 33 44 49 55 63 62 63 68 75 80 82 82 82 84 87 85 81 78 76 79 65 50 36 24 16 9 4 4 3 3 3 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 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 0 0 0 0 2 5 10 14 19 27 35 42 50 52 54 56 61 71 76 76 73 72 80 100 123 146 168 184 193 198 199 190 176 159 137 113 102 96 93 90 84 76 72 69
1 1 1 1 1 1 1 1 1 1 1 2 6 10 12 12 14 21 34 47 57 58 49 48 54 64 70 71 67 64 70 68 60 52 47 38 35 29 23 16 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 1 1 2 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 1 4 6 8 11 15 20 20 22 26 31 41 47 54 61 65 71 81 113 145 182 208 220 229 220 214 208 202 192 169 144 124 108 99 92 82 73 68 68
1 0 0 1 1 1 1 1 1 1 1 2 3 3 2 2 3 6 13 19 23 27 23 21 26 32 35 33 28 26 27 24 21 19 15 9 6 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 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 2 2 3 3 2 4 6 9 18 35 49 59 65 70 80 92 123 157 184 204 221 232 227 218 210 207 201 184 164 144 126 110 94 84 73 65 64
2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 2 2 3 4 5 4 1 1 1 3 4 2 2 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 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 0 0 0 0 0 0 1 1 1 2 3 3 4 6 9 12 21 37 53 64 70 77 87 106 138 170 193 215 228 233 229 220 211 212 201 186 174 161 143 125 107 98 81 66 63
2 2 2 2 1 1 0 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 2 2 1 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 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 1 3 6 9 6 3 2 1 1 0 0 0 1 1 1 3 3 4 6 9 15 24 31 43 56 67 72 70 83 99 120 148 180 195 217 229 231 227 225 211 212 203 186 173 166 142 114 106 98 83 68 60
2 2 2 2 1 0 0 0 1 1 1 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 2 3 4 4 5 8 12 10 6 3 1 1 0 0 2 6 9 9 11 12 13 17 22 32 47 61 73 82 86 86 90 107 124 140 161 191 203 216 226 228 221 225 226 216 203 184 164 158 132 99 84 80 75 68 61
3 3 4 2 1 1 1 1 1 0 1 0 0 1 1 2 3 3 3 3 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 5 6 6 8 8 7 6 6 6 5 3 5 8 12 16 15 19 21 23 26 33 40 51 61 75 86 94 103 109 120 133 145 154 163 180 199 209 216 219 215 210 205 196 193 189 175 158 142 117 93 77 69 67 62 57
4 5 4 2 2 1 1 1 1 0 1 1 0 1 2 4 5 6 5 3 2 1 1 1 2 2 2 2 1 1 1 1 1 1 1 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 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 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 9 9 9 9 9 10 10 8 7 6 7 7 10 15 21 26 29 22 25 30 37 48 62 76 83 90 98 108 121 139 144 148 158 171 175 181 194 203 206 207 206 198 194 187 177 172 171 164 156 140 118 96 80 68 62 56 51
6 6 5 4 3 1 0 1 0 0 1 1 0 0 2 4 5 6 5 3 2 1 1 2 2 2 2 1 1 1 1 1 1 1 2 2 2 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 12 14 15 14 15 15 15 14 13 12 11 12 17 23 29 35 37 36 39 45 54 66 81 93 100 107 117 135 150 159 159 160 170 187 190 189 194 199 198 194 187 181 177 174 170 167 163 157 148 131 109 91 77 66 58 52 47
6 7 7 5 4 2 1 2 1 0 0 0 0 0 1 3 3 3 3 3 3 2 2 2 2 2 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 12 17 21 22 20 20 21 21 22 21 21 21 24 29 35 40 44 49 53 59 67 74 82 89 97 105 116 132 153 164 166 166 168 173 182 180 174 175 181 179 171 161 154 151 151 153 153 154 150 141 129 109 88 77 67 57 50 45
8 9 8 6 3 2 3 2 2 1 1 0 0 2 5 6 6 6 5 5 4 3 3 3 3 4 4 3 3 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 10 15 22 27 27 26 25 25 26 27 28 30 33 37 43 48 54 60 66 71 76 85 92 97 105 112 121 134 152 166 172 171 169 164 164 162 157 154 154 152 146 140 135 133 134 136 138 142 146 145 140 130 112 100 87 73 60 52 44
10 10 8 6 4 4 5 4 3 2 1 1 4 7 10 14 17 16 12 9 7 6 5 4 4 4 5 4 3 3 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 2 3 3 4 4 4 4 4 4 4 3 3 3 2 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 7 9 19 26 27 28 28 28 28 33 37 40 44 48 54 60 68 74 79 85 90 97 104 110 118 131 147 161 173 180 180 176 169 161 154 148 143 138 135 128 120 115 115 121 131 140 136 137 139 141 140 128 113 103 92 75 59 50 43
12 10 7 6 5 6 7 5 4 3 3 4 12 14 15 18 20 19 14 10 9 10 9 7 5 5 5 4 4 3 3 2 2 1 1 1 2 1 1 1 2 2 2 2 1 1 1 2 2 2 3 3 4 4 4 4 5 5 6 6 6 5 5 4 3 2 2 2 2 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 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 3 6 9 8 3 11 18 23 26 29 31 36 41 45 48 52 55 60 66 73 79 85 90 97 104 112 122 137 157 175 181 183 183 181 176 169 159 150 144 137 126 114 103 97 98 105 115 120 125 128 128 128 129 128 123 117 107 93 72 60 50 44
11 9 7 6 7 8 6 5 4 4 7 13 20 21 21 20 17 14 13 9 9 9 9 7 6 6 6 5 4 4 3 3 3 2 2 2 2 2 2 2 2 3 2 2 2 1 1 1 2 3 4 3 3 3 3 3 4 4 5 5 5 4 4 4 3 3 3 3 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 1 1 1 1 2 2 2 1 1 1 1 0 1 0 1 4 7 10 10 5 7 12 17 21 25 31 39 45 49 53 56 59 65 71 79 85 89 97 106 116 127 142 156 173 184 185 183 182 181 176 168 155 148 143 131 113 102 90 86 94 103 105 107 110 113 114 116 117 115 116 119 115 100 82 69 60 55
10 9 8 7 7 6 6 5 6 8 12 16 18 20 19 16 13 10 9 7 7 7 6 5 5 5 6 7 6 6 6 8 7 6 4 3 3 3 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 2 2 2 2 2 3 2 1 1 1 1 1 1 1 3 5 8 11 12 8 6 8 13 17 21 30 40 48 53 57 59 63 67 73 80 86 95 108 124 137 148 162 169 170 171 171 171 172 172 166 151 138 130 125 119 111 102 95 93 99 103 103 102 102 103 106 111 114 116 121 124 119 109 92 77 69 65
8 8 8 7 6 4 4 5 7 10 13 15 15 14 14 12 10 8 5 5 5 5 4 3 3 4 4 5 5 7 10 12 13 12 11 9 8 5 4 3 3 3 3 2 2 1 1 1 1 1 0 0 0 1 0 1 1 1 1 2 2 1 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 1 1 1 1 2 1 1 2 2 1 1 1 1 1 1 1 2 3 6 10 14 14 13 8 7 11 16 21 29 40 49 55 60 63 68 70 74 86 93 107 123 137 144 145 145 154 154 150 147 145 140 118 117 117 107 99 95 98 99 99 96 92 92 94 96 96 95 94 99 105 111 116 124 128 118 106 93 83 79 75
9 8 8 7 6 5 5 4 4 7 12 17 18 14 11 8 6 5 4 4 4 4 3 4 3 2 2 2 3 4 6 11 14 17 18 17 13 9 6 4 4 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 4 6 10 15 17 16 12 9 12 18 22 30 39 48 55 63 70 77 83 88 87 75 99 120 122 110 91 86 98 106 109 111 109 104 98 95 91 85 81 77 76 76 77 77 78 78 80 82 84 85 86 92 100 105 105 107 112 110 101 91 84 83 78
10 9 7 6 5 3 2 2 2 5 10 17 17 13 9 6 5 4 4 4 5 4 4 5 4 4 4 4 5 4 5 8 13 17 20 20 15 11 8 6 5 4 4 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2 3 6 9 12 16 19 18 12 7 10 17 24 32 41 50 61 69 75 81 88 92 79 65 75 89 88 85 88 81 74 76 82 83 84 84 82 79 74 71 71 69 67 66 66 68 70 72 73 76 75 79 83 89 95 99 96 99 101 99 95 90 87 83 78
10 8 6 5 4 2 1 1 2 5 10 19 19 14 10 7 6 6 7 7 7 7 6 6 6 6 6 6 6 4 7 11 15 19 22 24 19 14 9 7 7 7 5 3 2 2 1 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 0 0 0 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 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 2 3 6 9 12 15 18 20 17 7 2 4 13 25 34 43 55 66 72 74 74 70 58 60 63 67 71 74 82 88 86 78 73 74 75 75 71 66 62 60 61 65 68 70 68 69 70 70 70 70 74 73 75 80 85 88 90 93 96 96 96 96 92 84 77 73
9 8 6 5 4 3 3 3 2 4 10 17 18 16 13 10 8 8 9 10 9 9 8 7 6 6 6 6 6 7 11 15 18 21 25 26 22 17 12 8 8 8 6 4 3 2 1 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 4 7 11 15 19 22 18 9 1 0 0 3 6 13 34 46 55 61 64 64 64 68 66 63 62 66 68 68 68 67 65 63 63 61 57 51 49 52 54 58 64 68 71 73 75 74 72 68 69 72 74 75 77 80 81 87 97 103 100 97 91 91 87 76 69
9 8 6 5 4 4 3 3 3 5 10 16 18 18 16 12 9 9 9 9 9 9 9 8 8 7 7 6 8 13 17 20 22 24 25 24 21 17 12 9 9 9 7 4 3 3 3 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 2 2 1 1 1 1 1 1 1 1 1 0 1 2 5 8 14 21 24 19 10 3 0 0 0 0 0 2 20 33 41 46 49 48 47 47 47 47 45 48 48 46 45 44 44 46 47 48 47 46 50 53 56 61 65 70 72 74 76 77 72 68 69 71 73 75 71 74 81 86 93 100 89 78 80 88 93 89 87
8 8 6 5 4 4 3 3 5 7 11 15 17 18 16 12 9 9 8 8 7 8 7 7 6 6 6 8 12 17 22 24 25 24 21 19 17 15 11 10 11 10 7 5 4 4 4 3 3 2 2 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 1 1 1 1 1 1 0 0 1 3 6 12 17 17 9 0 0 0 0 0 0 0 0 1 12 26 33 34 33 32 30 29 30 33 33 36 37 37 35 35 34 37 41 44 47 49 53 55 57 59 67 72 73 75 80 83 74 67 66 70 76 72 68 77 85 87 90 88 82 80 83 85 84 81 79
8 7 7 6 5 4 3 4 6 9 13 17 17 16 14 12 9 8 7 6 5 5 5 4 3 2 3 6 12 15 19 22 22 20 16 14 13 12 11 11 11 10 7 6 6 5 5 4 4 3 2 1 1 1 1 1 1 0 0 0 0 0 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 2 2 1 1 1 0 0 1 0 0 0 1 2 3 9 14 14 10 4 1 0 0 0 0 0 0 0 2 10 21 26 24 23 23 24 27 28 31 32 33 34 34 34 33 33 36 39 41 45 50 53 56 59 64 76 81 82 84 91 91 84 82 86 90 84 75 78 86 88 85 96 94 88 84 79 69 67 64 67
6 6 6 6 4 3 3 5 8 13 15 17 16 13 11 10 9 7 6 5 4 3 3 2 2 1 1 2 7 10 13 15 15 14 10 10 11 11 10 9 8 6 4 3 4 4 4 5 4 2 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 2 2 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 2 2 5 6 6 4 2 0 0 0 0 0 0 0 0 3 9 18 19 20 23 25 28 31 30 30 29 29 29 30 29 28 30 32 35 39 44 48 52 58 67 78 90 96 94 89 99 98 97 100 103 92 86 86 88 89 85 82 88 92 94 91 79 66 69 74 80
3 3 4 5 4 3 3 7 14 21 20 20 16 11 8 7 7 6 5 4 3 3 2 1 1 1 1 1 3 5 7 8 9 8 8 9 10 9 6 4 3 3 2 2 3 5 5 4 3 1 2 1 1 1 1 1 1 1 1 0 0 0 1 1 1 2 1 1 2 2 2 2 2 2 1 1 1 1 1 1 0 0 1 1 1 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 3 1 0 0 0 0 0 0 0 1 2 6 13 16 19 23 28 31 29 27 25 23 22 22 23 24 25 28 31 32 39 48 55 58 64 70 78 86 93 99 103 109 108 107 109 111 109 105 102 98 96 91 90 92 93 95 98 87 82 85 90 96
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5 6 6 7 8 9 10 14 18 19 17 14 11 8 5 2 1 1 1 0 0 1 0 0 0 0 0 0 0 1 2 3 5 7 8 8 7 7 6 5 5 4 3 5 4 4 5 6 5 5 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 3 4 3 2 2 3 2 2 3 3 2 2 2 2 2 1 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 0 0 1 0 0 0 0 0 0 0 1 2 3 4 4 5 5 2 1 0 0 0 0 1 6 10 8 6 3 0 2 3 4 5 6 6 7 8 10 12 14 17 20 21 24 28 31 31 33 37 43 50 55 57 58 58 59 62 65 67 69 69 67 65 65 67 66 64 66 66 60 56 53 49 48 50 49 50
5 6 6 7 7 7 8 11 12 11 9 7 5 4 2 0 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 6 5 4 3 3 4 5 4 5 4 5 6 6 4 3 2 2 2 1 1 0 0 0 1 1 1 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 2 2 2 2 1 1 0 1 0 0 0 0 1 2 1 1 1 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 0 0 2 3 4 3 4 3 1 0 0 0 0 1 0 3 4 4 3 1 0 1 2 2 2 4 5 6 7 9 11 13 16 20 23 26 31 35 37 39 42 46 48 50 51 53 56 55 55 55 54 52 52 53 54 54 54 53 49 45 44 42 42 42 40 41 43 45 46
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