Vorticity
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nan 7 7 8 8 7 6 6 6 6 6 6 6 6 7 8 8 8 8 7 7 7 8 8 7 7 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 9 10 10 10 9 7 6 6 6 7 8 9 9 9 8 7 6 6 6 6 7 7 7 6 6 5 5 6 7 8 8 7 7 8 7 6 4 3 4 7 10 12 13 15 15 15 15 15 13 10 8 7 6 6 5 5 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 8 8 8 7 6 6 7 7 7 6 6 7 8 8 8 8 8 8 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 10 9 9 7 6 5 6 6 7 8 9 9 8 7 7 6 6 6 7 8 8 8 7 6 6 6 6 7 8 8 7 8 8 7 6 4 3 4 7 10 13 14 15 15 15 15 15 13 10 7 6 6 5 5 4 3 3 3 4 4 4 4 5 5 5 5 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 nan
nan 7 7 7 8 8 8 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 8 8 7 6 6 6 7 8 8 9 8 7 7 6 6 6 6 7 9 9 8 7 6 5 5 6 7 7 7 7 8 8 7 4 2 3 5 9 11 13 14 15 15 15 15 14 12 9 7 6 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 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 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 nan
nan 6 6 6 7 8 8 8 7 7 7 8 8 8 8 8 7 7 8 8 9 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 6 6 7 7 8 9 8 7 5 5 5 6 6 6 7 7 7 7 5 3 3 5 7 9 11 13 14 14 15 16 16 15 12 9 6 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 nan
nan 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 9 9 8 8 8 7 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 6 7 7 8 8 7 6 5 5 5 5 5 6 6 7 7 7 5 5 5 6 8 9 11 12 13 14 16 17 16 14 11 8 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 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 nan
nan 6 5 5 6 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 9 10 10 9 9 8 8 8 8 7 7 6 6 6 7 8 8 7 6 6 6 6 5 4 5 6 6 7 7 7 6 5 6 7 8 9 10 12 14 15 16 16 16 14 10 7 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 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 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 nan
nan 7 5 5 6 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 7 7 8 9 9 9 9 8 8 8 9 8 7 7 6 7 7 8 8 8 7 7 7 6 6 5 5 5 6 6 7 7 6 6 6 7 7 8 9 11 13 15 15 16 16 16 14 10 7 5 5 5 4 4 3 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 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 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 9 7 6 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 8 8 7 7 7 8 9 9 9 8 7 7 7 8 8 9 8 8 8 9 9 8 7 7 7 6 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 6 7 7 8 9 10 12 13 14 14 16 18 17 14 10 7 6 5 4 3 3 4 4 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 10 9 7 7 7 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 7 7 6 7 7 8 7 8 8 8 7 6 5 5 6 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 9 8 8 8 8 7 6 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 10 11 12 12 12 15 18 19 17 14 10 7 5 4 4 4 4 5 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 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 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 10 9 7 6 7 7 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 8 7 7 6 6 6 6 6 5 6 6 6 6 6 7 6 5 5 5 6 7 8 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 6 7 8 8 8 8 7 7 7 7 7 7 7 6 5 6 7 7 7 7 7 8 8 9 10 10 11 13 16 18 19 16 12 9 7 6 5 5 5 6 7 8 8 8 7 7 6 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 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 9 8 7 6 6 7 8 9 9 8 8 7 7 7 7 7 7 8 10 10 10 10 10 10 9 9 8 8 7 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 6 5 5 6 6 7 7 8 8 9 8 8 7 7 8 8 9 9 8 7 6 6 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 8 7 7 7 7 8 9 10 12 13 16 18 18 16 12 10 9 7 7 7 7 7 8 8 8 7 7 6 6 6 6 5 5 5 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 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 6 6 7 8 9 9 8 8 8 7 8 8 8 8 8 9 9 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 7 7 8 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 9 10 11 12 13 16 18 17 16 14 13 11 9 8 8 7 7 7 7 7 7 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 4 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 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 4 5 nan
nan 6 7 7 7 7 7 8 8 9 9 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 8 8 8 8 7 8 8 9 9 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 10 11 12 13 14 16 16 16 16 16 14 11 9 8 6 6 6 6 7 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 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 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 nan
nan 6 7 7 7 7 8 8 8 8 8 8 8 7 7 8 9 9 8 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 7 7 7 7 6 7 7 7 8 8 8 10 12 13 14 14 14 15 16 17 15 12 10 8 7 6 6 6 7 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 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 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 7 7 6 6 5 5 5 6 6 7 7 7 7 8 8 9 9 9 8 7 6 6 6 7 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 9 10 12 13 13 12 13 15 15 14 13 12 11 9 8 7 7 8 8 7 7 7 6 6 5 4 4 4 5 5 5 4 4 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 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 6 6 6 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 8 9 10 10 9 8 7 6 6 7 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 7 7 7 7 8 7 7 7 6 6 6 6 7 7 7 7 8 8 9 10 11 11 11 11 13 13 13 13 14 14 13 12 11 10 10 10 9 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 5 6 6 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 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 6 5 5 6 7 7 7 7 7 8 9 9 9 9 7 6 7 7 8 8 8 9 8 8 8 7 7 6 6 6 7 7 7 8 10 11 11 10 9 7 7 7 7 8 8 8 8 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 8 8 7 7 8 8 8 7 6 7 7 8 8 8 7 7 7 6 6 7 7 7 7 7 8 8 8 9 10 10 10 11 11 11 11 12 14 15 15 14 13 13 13 12 11 10 9 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 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 5 5 5 5 5 5 5 5 6 6 nan
nan 7 6 5 5 5 6 7 7 7 8 8 9 9 10 9 7 6 6 7 7 8 8 8 8 9 9 9 8 7 7 7 7 7 6 6 8 10 11 11 10 9 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 7 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 9 10 11 12 14 14 15 15 15 15 15 13 11 9 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 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 5 6 5 nan
nan 6 5 4 4 4 5 6 7 7 7 8 8 9 10 10 8 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 6 5 6 8 10 11 11 9 8 7 6 6 6 6 7 7 8 8 9 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 8 8 7 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 10 11 12 13 14 14 16 17 16 13 11 9 8 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 5 4 3 4 4 5 6 7 7 7 8 9 10 10 9 8 7 7 7 8 8 8 8 8 8 9 10 10 10 9 9 8 7 6 5 6 8 10 10 10 8 7 6 6 6 6 7 7 8 9 9 9 8 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 10 10 10 10 9 8 8 8 8 7 7 7 7 7 8 7 7 8 8 7 7 7 7 7 7 7 6 6 7 8 9 10 10 10 11 11 11 10 11 11 12 12 13 13 15 16 16 15 13 11 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 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 6 5 5 5 5 nan
nan 6 5 4 3 3 4 5 6 7 7 7 7 8 9 8 8 7 7 7 8 8 8 8 7 8 8 9 9 10 10 10 9 9 8 6 5 5 6 7 9 9 9 8 7 7 7 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 8 9 10 10 11 11 12 12 13 13 13 13 13 12 12 13 14 15 16 15 13 11 9 8 8 7 7 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 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 nan
nan 7 6 5 4 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 9 9 8 7 6 5 5 6 7 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 9 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 11 11 12 13 14 15 15 14 12 12 12 13 14 15 16 15 13 11 10 9 8 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 5 5 5 5 5 5 5 5 5 5 5 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 6 4 4 5 6 7 7 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 7 7 7 7 6 7 8 8 8 7 6 6 6 7 9 10 10 10 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 6 6 7 8 8 9 9 9 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 10 11 12 13 15 15 15 13 12 12 12 12 14 15 16 15 13 11 10 9 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 5 5 5 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 5 5 5 5 5 5 nan
nan 10 10 8 6 4 5 6 7 8 8 8 8 8 7 6 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 7 6 7 8 8 8 7 6 7 8 8 9 9 10 10 10 10 11 11 11 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 8 8 9 10 11 13 14 15 14 14 13 12 12 13 14 15 16 15 13 11 10 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 nan
nan 12 11 9 6 5 5 6 7 8 9 9 9 8 7 6 5 5 6 6 6 6 6 6 6 6 6 7 8 9 10 10 9 9 9 9 9 8 7 7 8 8 7 8 9 9 10 11 11 11 10 9 9 9 9 9 8 8 7 7 7 8 9 10 10 10 10 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 9 8 8 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 10 11 13 14 16 16 15 14 13 12 13 14 15 15 14 12 11 10 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 nan
nan 11 10 8 6 5 5 6 7 8 9 10 10 9 8 7 6 6 6 7 7 7 6 7 7 7 7 8 9 9 11 11 11 10 9 9 10 10 9 9 8 7 6 6 7 8 9 10 11 11 10 8 7 6 7 7 7 6 5 5 6 7 8 9 10 11 10 10 10 10 8 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 8 9 10 13 16 18 19 18 16 14 13 13 14 14 14 13 12 11 10 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 nan
nan 9 9 8 6 5 4 5 7 9 10 10 10 10 9 8 7 6 7 8 8 8 8 8 8 8 7 8 8 9 10 11 11 11 10 10 11 11 10 10 9 8 7 6 6 7 8 9 10 11 10 7 4 3 4 6 6 6 5 5 5 6 6 8 9 10 10 10 10 9 8 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 9 8 8 8 8 8 7 7 7 6 6 7 7 8 9 11 13 16 19 20 19 17 15 15 15 16 16 15 13 11 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 nan
nan 8 7 7 7 6 4 5 6 8 9 10 10 10 10 10 8 7 7 8 9 8 8 9 9 9 8 8 7 7 8 9 10 10 10 9 10 10 10 10 10 9 8 7 7 7 8 9 9 9 9 6 3 2 3 5 6 7 7 7 7 6 6 7 8 9 10 10 10 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 9 10 12 16 18 20 20 19 18 19 20 20 19 17 14 12 11 10 10 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 6 6 nan
nan 8 7 7 8 7 5 5 5 6 7 8 9 9 10 10 8 7 7 7 8 9 9 10 10 9 9 8 7 7 7 7 8 8 8 7 7 8 9 10 10 9 9 9 8 8 8 9 9 9 8 6 5 4 4 6 7 8 9 9 9 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 9 8 8 8 8 8 9 9 12 14 17 19 19 19 20 23 25 25 23 19 15 13 12 11 10 10 10 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 6 6 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 nan
nan 9 8 8 8 8 6 5 5 6 5 6 7 8 9 9 8 7 6 6 8 9 10 10 9 9 8 8 7 6 6 6 6 6 5 4 4 5 7 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 7 7 8 9 10 10 10 9 8 7 6 6 7 9 9 10 10 10 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 11 13 15 16 17 18 20 23 26 26 23 19 17 15 13 12 11 10 10 9 9 9 9 9 9 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 10 9 9 8 8 7 7 7 6 5 5 5 6 8 8 8 7 6 6 7 9 10 10 10 9 8 7 7 7 7 6 6 6 4 3 3 3 4 5 6 7 8 9 9 9 9 10 10 9 7 6 6 7 8 8 8 8 8 8 9 9 10 9 7 5 4 5 7 9 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 8 10 12 13 13 14 15 18 21 22 22 20 19 17 17 16 14 12 11 10 9 9 9 9 9 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 10 9 9 9 9 9 9 8 7 6 5 5 6 7 9 10 10 8 6 7 8 9 10 10 10 9 8 7 7 7 7 7 7 6 4 4 3 4 4 4 5 6 7 9 9 10 10 11 10 8 6 6 7 8 8 8 8 8 7 7 8 9 9 7 6 5 5 6 9 10 12 12 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 9 9 9 9 9 8 9 8 8 8 8 7 8 8 7 7 7 6 6 7 8 9 10 11 12 13 14 15 16 17 17 18 18 18 18 17 16 13 11 10 9 9 9 9 8 8 7 7 6 6 6 6 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 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 9 8 8 9 9 8 8 8 7 7 7 7 7 9 11 12 11 8 7 7 8 9 10 10 10 9 8 7 7 7 7 7 7 7 6 5 4 4 4 4 5 6 8 8 9 10 11 11 9 8 7 7 7 7 6 6 7 8 8 8 9 9 8 8 7 6 6 8 10 11 13 14 14 13 12 11 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 11 12 13 13 13 14 15 15 16 17 18 19 18 17 14 12 10 9 9 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 8 8 7 8 8 7 7 7 7 7 7 8 8 8 10 11 10 8 7 6 6 7 9 10 11 11 10 9 8 8 8 8 8 8 7 6 6 5 4 3 4 6 7 8 9 9 10 10 10 9 8 7 7 6 4 5 6 8 9 10 10 9 9 8 7 7 7 7 8 10 11 12 14 14 14 12 11 9 9 8 8 8 8 8 8 8 8 9 10 10 9 9 8 9 9 9 9 10 10 11 11 11 10 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 10 12 12 11 12 13 15 15 14 14 16 18 19 19 17 15 13 11 9 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 7 6 6 7 8 9 10 11 12 11 11 10 10 10 10 9 9 8 7 7 6 4 3 4 5 7 8 9 9 9 10 11 10 8 7 7 6 5 4 5 6 7 8 8 8 8 8 7 7 7 7 7 7 8 9 11 12 13 12 11 10 9 9 9 8 8 8 9 8 8 8 8 9 9 8 8 8 9 9 9 10 11 12 12 11 10 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 8 10 11 10 10 12 14 17 16 15 14 14 16 17 19 19 17 15 13 11 9 8 7 7 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 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 7 7 7 7 7 7 8 7 7 6 5 5 6 6 7 7 7 7 7 6 7 7 9 10 11 11 12 12 11 10 11 12 12 12 11 9 8 8 7 5 3 3 4 6 7 8 8 8 10 11 11 9 8 7 6 6 5 4 4 4 4 5 6 7 7 7 8 9 8 7 5 5 7 9 10 11 12 12 11 11 10 9 9 9 9 9 9 8 7 7 8 8 8 8 8 9 9 9 10 10 11 12 12 11 10 9 8 7 7 7 7 7 7 7 6 7 7 6 6 8 9 10 9 9 11 14 17 18 17 16 14 13 14 17 18 18 17 15 12 11 9 8 7 6 6 6 6 6 7 7 7 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 6 6 6 6 6 6 6 6 7 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 10 10 12 13 13 12 10 10 10 10 7 4 3 4 5 6 7 7 8 9 11 12 11 10 9 8 7 5 4 3 3 3 4 6 7 8 9 10 10 9 8 6 5 7 8 9 10 11 12 12 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 12 10 10 9 8 7 7 8 7 7 7 6 7 7 7 7 7 8 8 8 7 9 12 14 16 18 18 16 13 12 14 16 17 17 16 14 12 10 9 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 6 6 6 nan
nan 9 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 10 10 10 10 11 10 10 10 11 11 12 11 10 10 11 12 10 7 5 5 6 6 5 6 7 8 10 12 12 11 11 10 9 6 4 4 5 6 7 8 8 9 10 11 10 10 9 7 7 7 7 7 9 10 11 11 12 12 11 11 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 12 11 11 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 9 11 13 17 20 19 14 12 12 14 15 16 16 14 13 11 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 6 6 6 nan
nan 10 11 11 11 11 11 11 10 9 9 9 9 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 11 13 13 11 9 7 7 5 5 5 6 7 9 11 11 12 12 12 11 8 6 6 7 8 9 9 9 8 8 8 7 7 7 7 7 6 5 5 6 8 9 10 11 11 11 11 12 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 10 11 11 12 12 11 10 10 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 11 14 18 18 15 12 11 12 13 14 14 14 13 11 10 10 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 9 10 11 11 11 10 10 10 10 9 9 9 9 8 9 9 9 8 7 7 8 9 9 9 8 7 8 8 10 12 13 13 12 11 11 10 10 11 12 13 13 13 11 9 6 6 5 6 7 8 9 10 11 12 12 12 10 8 7 7 7 7 7 6 5 4 4 3 3 3 5 6 6 4 4 4 5 6 7 9 11 11 12 11 10 10 10 10 10 10 9 9 8 8 8 8 9 8 8 8 8 9 10 11 11 12 12 11 11 11 10 10 9 9 8 7 6 6 7 7 7 7 9 10 10 9 8 9 11 14 15 14 12 10 10 11 12 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 nan
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nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 8 7 8 9 10 10 10 10 9 9 10 10 10 10 10 9 9 9 8 9 10 11 12 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 9 10 10 10 9 9 10 12 14 14 14 14 14 14 14 14 14 14 12 11 10 9 9 10 11 12 12 12 13 12 12 11 10 10 10 10 10 11 11 11 11 12 12 12 13 13 14 14 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 8 8 9 9 10 10 11 10 10 9 9 10 10 10 10 11 10 10 9 9 9 10 11 11 12 13 13 13 13 12 11 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 9 10 10 10 9 9 9 9 10 11 10 9 8 8 9 11 12 12 11 11 11 12 13 14 14 13 12 10 9 9 11 12 13 13 14 13 13 13 12 11 10 9 9 9 9 9 10 10 10 11 11 12 12 13 13 14 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 10 10 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 11 11 10 10 10 11 11 11 10 9 8 7 8 10 10 10 8 7 7 7 7 8 9 10 10 8 7 9 12 14 15 14 14 14 13 13 12 11 10 9 8 8 8 8 9 9 9 10 10 10 11 12 13 13 13 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 8 8 9 10 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 9 8 8 9 11 12 11 10 8 8 8 7 6 5 6 7 7 6 7 11 14 16 14 13 12 12 12 11 11 10 9 8 8 7 8 8 9 10 10 10 10 11 11 12 12 12 12 nan
nan 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 11 11 11 11 12 12 12 11 9 9 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 9 9 8 8 9 9 9 8 8 8 8 9 9 9 8 8 9 10 11 11 10 9 10 10 9 8 8 8 9 9 10 10 12 15 16 15 12 11 11 10 10 9 9 8 8 8 8 8 9 11 12 13 12 12 12 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 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 13 14 15 16 16 15 14 14 14 12 10 10 9 9 9 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 9 9 9 9 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 9 10 10 9 8 7 8 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 11 12 13 14 16 17 16 13 11 11 11 10 9 9 9 9 8 9 10 11 14 16 17 16 15 13 13 12 11 11 10 10 10 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 13 15 16 18 19 20 21 22 22 20 17 14 13 13 12 10 8 8 8 9 10 10 10 10 9 9 9 10 10 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 10 11 10 9 9 8 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 12 12 13 14 15 13 12 11 11 12 12 12 12 12 11 11 12 13 15 18 20 18 16 14 13 12 11 11 10 10 10 10 nan
nan 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 9 8 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 9 10 12 14 16 17 19 21 23 25 24 22 20 19 18 17 15 12 9 8 9 9 10 10 11 11 11 10 10 11 11 10 9 9 9 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 11 11 10 10 10 11 11 13 14 14 13 14 16 17 17 17 18 17 14 13 12 13 12 12 12 11 11 11 11 nan
nan 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 15 15 15 12 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 6 6 8 9 11 11 11 12 13 16 18 19 19 19 19 19 20 19 17 14 11 9 9 9 10 11 12 12 11 11 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 10 11 11 12 13 16 19 20 19 18 17 15 14 14 15 15 15 15 14 13 12 12 12 nan
nan 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 13 15 17 18 18 17 14 12 10 8 7 8 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 6 6 7 7 8 8 8 8 6 4 3 4 6 7 8 7 8 8 9 11 12 12 12 13 16 18 19 19 18 16 14 12 11 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 12 14 16 16 16 17 18 18 17 15 14 14 15 15 14 13 13 13 13 nan
nan 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 13 14 15 15 16 16 17 17 16 14 11 9 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 6 7 7 7 8 8 9 9 8 6 2 0 -0 1 3 5 5 5 7 8 9 10 10 10 10 12 13 15 17 18 18 18 17 16 14 13 12 12 11 10 9 9 10 10 10 9 9 9 9 9 9 9 8 8 9 10 11 10 10 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 8 9 11 11 10 9 9 8 9 9 9 9 10 10 9 8 8 8 8 8 9 9 9 9 10 11 11 11 12 14 16 16 13 9 6 6 7 9 10 11 12 12 13 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 13 14 15 16 16 14 12 10 8 8 8 8 8 8 8 9 10 10 11 10 9 8 8 8 8 8 8 8 8 9 8 6 2 -1 -3 -3 -1 0 1 2 2 5 7 9 11 11 11 11 11 12 13 14 15 16 17 18 18 17 16 15 14 11 9 8 9 10 10 10 9 9 9 9 8 8 8 8 9 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 8 8 8 8 9 10 10 8 7 6 6 7 8 9 10 11 11 10 9 8 8 8 8 9 9 9 9 10 9 9 9 10 11 11 10 6 2 1 2 4 7 9 10 12 12 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 10 10 11 11 11 11 11 11 12 14 15 15 13 11 9 8 9 8 8 8 9 9 10 11 11 11 10 10 9 9 8 8 8 8 8 8 8 7 5 2 0 -0 -0 -0 -0 -1 -2 -1 1 5 8 10 11 11 11 11 11 12 12 13 14 15 16 17 18 19 18 15 12 9 9 10 11 10 9 9 10 9 9 8 8 9 9 10 10 10 9 10 10 10 10 10 11 11 11 12 12 11 11 10 10 11 11 11 10 10 10 9 9 9 9 9 7 6 5 5 7 8 8 8 8 9 9 8 6 4 4 5 7 8 9 10 12 12 11 10 8 8 8 8 8 8 9 9 9 9 9 9 10 9 8 5 2 1 2 5 8 9 10 11 12 12 12 nan
nan 10 10 10 10 9 9 9 9 9 9 8 9 9 9 10 10 11 12 12 11 11 10 10 9 10 10 10 10 10 10 11 12 13 14 14 12 10 9 9 9 9 9 9 10 10 11 11 10 10 9 9 8 7 7 7 7 7 7 7 8 8 8 7 6 6 5 5 5 2 -2 -3 -1 2 5 8 9 10 11 10 11 11 11 11 12 13 13 15 18 19 18 16 14 13 13 12 11 10 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 11 11 12 12 12 11 11 10 10 10 11 11 11 10 9 8 8 8 8 7 6 5 5 5 7 7 7 7 7 8 9 8 7 4 5 7 8 9 10 12 12 12 12 10 8 8 7 7 7 8 9 9 10 10 10 9 9 7 4 0 -1 1 4 8 10 11 11 12 12 12 12 nan
nan 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 11 13 14 15 14 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 6 6 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11 7 3 -0 -2 -1 2 5 7 9 9 9 9 9 10 10 10 11 12 14 15 16 15 16 16 16 14 13 12 11 12 12 12 12 12 11 11 10 9 9 9 9 8 8 7 8 10 11 11 11 11 11 11 10 10 9 10 10 10 10 9 8 8 8 8 7 7 6 6 7 7 6 6 6 7 9 11 12 10 8 9 9 10 10 11 12 12 13 12 10 8 7 6 7 8 9 10 10 11 11 11 10 7 3 -1 -3 -1 2 6 8 10 11 12 12 12 12 12 nan
nan 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 12 12 12 11 9 10 10 10 10 10 10 10 10 11 13 14 15 14 12 10 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 10 10 10 9 8 8 8 7 6 7 12 15 15 13 8 1 -3 -2 -1 2 6 8 8 8 8 8 9 9 9 10 11 12 12 13 13 14 15 15 15 14 12 12 12 13 13 13 12 11 10 9 9 9 8 7 6 6 7 8 10 10 10 10 10 10 10 9 8 8 9 10 10 10 10 10 10 10 9 8 7 7 8 8 8 7 8 9 10 12 14 12 12 12 11 10 11 11 11 11 12 11 9 8 7 6 7 9 10 11 12 11 11 11 10 6 2 -0 0 2 5 7 9 10 11 12 12 12 12 12 nan
nan 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 8 9 10 10 10 10 10 10 10 11 12 14 15 15 13 10 9 9 8 8 7 7 7 8 8 8 7 8 8 8 9 9 9 10 10 10 11 11 10 8 7 6 3 -0 0 5 11 15 17 13 7 2 -1 -3 -2 1 4 6 7 7 7 7 7 8 8 8 9 10 11 11 12 12 13 14 14 12 11 11 11 12 11 11 10 10 9 8 8 8 7 6 6 7 9 9 9 9 9 9 9 9 8 7 8 9 10 10 10 10 11 11 10 9 8 8 8 8 9 9 9 10 10 12 13 14 13 13 13 12 11 11 10 9 10 10 10 9 8 7 7 8 10 11 12 12 12 12 12 11 10 9 8 8 8 8 8 9 10 11 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 8 7 6 7 9 9 10 10 10 10 10 10 10 11 13 15 14 12 10 9 8 7 6 6 7 8 9 9 9 9 8 7 7 7 8 9 9 9 10 11 10 9 7 6 4 1 -0 3 6 10 12 12 9 7 4 1 -2 -1 0 2 4 4 4 5 5 6 5 4 5 6 9 10 10 11 12 12 13 12 12 11 10 10 10 10 10 10 10 9 8 8 8 8 9 10 11 11 10 9 8 8 8 8 9 9 10 11 11 10 10 10 10 10 10 9 8 7 7 8 9 11 12 12 12 13 13 12 11 11 11 10 9 9 8 8 9 9 9 9 8 7 8 10 11 12 12 12 12 12 11 11 13 15 16 13 10 8 7 8 10 11 12 12 12 12 12 nan
nan 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 6 5 6 8 9 9 9 9 9 9 9 8 9 11 14 15 14 11 10 9 8 7 7 8 9 9 10 10 10 9 7 6 7 7 8 8 8 9 10 10 9 9 8 7 5 5 6 6 7 8 9 9 8 8 6 4 3 2 2 2 3 3 3 4 5 4 1 0 1 4 6 8 9 10 11 11 12 12 12 11 11 10 9 9 10 10 10 10 10 10 11 11 12 13 12 10 9 8 8 9 10 11 12 12 12 11 10 9 9 10 10 9 8 7 6 7 9 11 13 14 14 13 12 11 9 8 7 7 7 7 7 7 8 10 10 11 11 10 10 10 10 11 12 12 12 12 12 11 11 13 14 14 10 7 5 5 7 10 11 12 12 12 12 13 nan
nan 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 7 8 9 12 14 13 12 10 10 9 8 8 7 8 8 8 9 10 9 7 7 7 7 8 8 8 8 8 8 9 10 11 10 9 9 9 7 7 8 9 10 10 10 9 9 9 8 6 5 5 4 4 5 6 6 3 1 -0 1 4 6 7 8 9 9 10 12 12 14 14 13 10 9 9 10 11 12 12 12 12 11 11 12 12 10 9 9 9 11 11 12 11 11 9 9 9 9 10 10 9 8 8 8 8 9 11 13 15 15 14 12 11 10 8 7 5 5 5 6 6 8 9 10 12 14 14 13 12 10 10 10 11 11 12 12 12 11 11 12 11 7 4 2 2 5 8 10 11 12 13 13 13 13 nan
nan 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 9 11 11 11 10 10 10 9 8 7 7 7 8 8 9 9 8 7 7 7 8 8 8 8 8 8 9 10 11 11 10 10 9 7 6 8 11 12 12 11 11 11 11 11 10 9 8 7 6 7 8 8 7 6 4 4 5 6 7 7 7 7 8 10 12 15 15 14 11 10 11 12 13 14 14 13 12 10 10 11 11 10 9 9 9 10 10 10 9 9 8 8 8 9 11 11 9 8 9 11 11 12 12 13 13 13 12 11 10 11 11 10 8 7 7 6 6 8 9 10 13 15 15 13 11 9 9 10 11 11 12 11 11 11 11 10 8 6 3 1 3 6 9 11 13 13 14 14 14 14 nan
nan 8 8 7 7 8 8 8 7 7 8 8 8 8 9 9 9 8 7 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 7 8 8 8 8 9 9 10 10 10 10 9 10 9 7 4 3 7 12 14 14 12 11 11 11 11 10 10 9 8 7 8 9 9 8 8 8 8 8 8 9 8 8 8 8 9 11 13 13 13 12 12 12 13 13 13 13 12 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 10 12 12 12 12 13 13 13 12 10 10 10 11 10 10 11 13 14 13 11 10 8 6 6 7 8 10 14 15 14 12 9 8 9 10 11 12 11 11 10 10 10 10 9 9 7 5 6 8 10 13 14 14 14 14 14 14 nan
nan 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 6 6 6 5 4 4 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 7 4 -0 -1 3 10 14 15 14 12 11 11 11 10 9 8 8 8 9 10 9 8 8 8 9 10 10 10 9 9 10 10 11 11 12 13 13 13 13 14 14 13 12 11 11 10 10 10 10 10 11 11 10 9 8 9 9 9 9 9 10 11 11 13 14 14 13 13 12 10 7 6 6 7 8 8 9 11 13 14 14 12 11 8 7 6 6 8 10 13 13 12 10 8 8 9 10 11 12 11 11 10 9 9 9 10 11 10 9 9 9 11 14 15 15 15 14 14 13 nan
nan 8 9 9 9 9 9 9 8 8 7 7 7 7 8 7 7 7 7 7 6 5 4 4 4 5 5 5 5 5 6 7 7 7 8 8 7 7 7 7 7 7 8 9 9 8 8 8 9 9 9 9 10 10 10 11 11 12 12 12 11 10 8 7 7 7 6 6 4 -1 -2 2 7 11 14 16 15 13 12 10 9 9 8 7 8 9 10 10 9 9 10 10 10 9 8 8 9 11 12 13 13 14 14 14 14 15 16 16 14 13 11 11 10 10 9 9 9 10 10 9 8 8 9 10 9 8 8 8 9 10 11 11 11 10 9 7 6 5 5 5 6 6 7 7 9 11 13 14 13 11 9 8 7 7 7 9 10 11 11 9 8 9 9 10 11 11 10 9 8 9 9 9 11 11 11 11 10 10 12 13 14 14 14 13 12 12 nan
nan 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 5 3 2 2 4 5 5 5 5 6 6 7 8 9 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 13 12 12 10 9 7 6 5 6 6 7 7 3 -1 -1 1 5 8 12 16 17 16 13 10 8 8 7 7 8 9 11 11 11 10 11 11 9 6 5 6 8 11 13 14 14 14 14 14 15 16 18 20 18 16 13 12 11 10 10 10 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 6 6 6 6 7 8 11 13 14 14 12 10 9 8 7 7 8 9 11 11 10 10 9 9 10 10 9 9 8 8 8 9 10 10 10 11 11 10 10 11 11 12 12 12 12 11 10 nan
nan 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 5 3 1 1 3 5 6 6 6 7 7 9 10 12 13 12 11 10 9 9 9 10 9 9 9 9 10 10 10 9 9 10 11 11 12 12 12 11 10 8 7 6 5 5 6 7 8 8 3 -1 -1 2 5 7 10 14 16 17 14 10 8 7 6 6 8 10 12 12 11 10 11 12 10 6 4 4 7 10 11 12 12 12 11 11 13 16 18 19 19 17 15 14 12 11 11 11 10 9 7 6 6 6 6 6 6 7 8 9 9 8 7 6 6 6 6 6 7 8 8 7 7 7 7 8 9 11 14 14 13 12 11 10 8 8 8 8 10 11 11 11 10 9 9 9 9 9 8 8 9 9 10 11 11 11 12 12 10 10 9 9 10 11 10 10 9 9 nan
nan 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 3 1 2 5 6 7 7 7 8 9 11 13 15 14 12 11 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 9 8 6 6 7 7 7 8 8 8 9 7 2 -1 -0 3 6 7 9 12 15 17 15 11 9 7 7 8 10 12 13 11 10 10 10 11 10 8 6 5 6 8 8 9 10 10 9 8 8 9 11 13 13 13 13 12 11 10 9 8 8 8 7 6 5 5 5 6 8 10 12 13 12 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 10 12 13 13 13 11 10 10 10 9 9 9 10 11 11 11 10 9 8 8 9 9 9 10 10 11 12 12 12 12 13 11 9 9 8 8 9 9 9 9 9 8 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 7 8 9 8 4 2 1 4 6 7 7 7 8 8 10 12 15 15 14 12 10 10 10 10 10 9 9 9 10 11 11 11 11 11 10 10 9 8 6 3 3 5 8 10 11 11 10 9 10 7 2 -0 0 4 6 7 8 10 14 17 16 13 11 10 10 11 12 12 11 9 8 8 9 10 10 9 9 8 7 6 6 7 8 8 7 6 5 4 5 6 7 7 8 8 8 7 7 6 6 7 7 6 6 6 6 8 11 14 15 14 11 10 9 8 8 8 9 10 10 10 9 9 9 9 9 10 11 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 9 9 9 9 9 10 10 11 12 13 13 14 13 13 12 10 9 9 8 8 9 10 11 10 10 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 9 8 5 2 1 3 6 8 8 8 8 8 8 12 15 16 15 13 11 10 10 10 9 9 9 10 11 11 11 11 11 10 10 9 8 6 4 2 2 5 8 11 13 13 11 10 9 6 2 0 2 5 6 7 7 10 14 16 15 14 13 12 11 10 9 8 7 6 6 7 8 9 10 10 10 9 8 7 6 6 7 7 7 7 5 4 4 4 5 6 6 6 7 7 7 8 8 8 8 7 7 8 9 12 14 15 15 12 9 8 7 6 6 7 8 10 10 10 10 10 10 9 10 11 11 11 12 12 12 13 13 13 11 10 10 10 11 11 11 10 9 9 8 9 9 10 10 12 13 14 14 14 13 12 11 10 10 9 9 11 13 15 15 14 13 12 nan
nan 7 6 6 7 8 8 8 8 7 7 8 7 7 6 6 5 5 5 6 8 8 6 3 2 4 7 8 9 8 8 8 8 11 14 16 16 14 11 10 10 9 9 8 9 10 11 12 12 12 12 12 11 10 9 8 6 4 4 5 7 10 12 12 10 9 8 4 1 1 3 6 7 7 7 10 13 14 14 13 12 12 11 9 7 6 4 4 5 7 9 11 11 10 9 9 9 9 8 7 8 8 8 7 7 6 5 5 5 7 7 8 9 10 11 12 12 11 9 8 9 11 12 14 15 16 15 13 10 9 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 11 12 14 14 14 14 13 10 9 8 9 10 10 10 9 8 8 7 7 7 8 10 12 13 13 13 13 12 11 11 10 10 9 11 14 18 19 18 17 17 17 nan
nan 7 7 7 8 9 9 9 8 7 7 7 7 7 6 6 6 6 6 7 8 9 8 5 3 4 6 8 9 9 8 8 9 10 13 14 15 13 10 10 10 9 8 8 9 10 11 11 11 12 13 13 13 13 12 11 9 7 6 5 5 8 10 10 8 7 5 3 2 3 5 6 7 7 8 10 12 13 13 12 12 12 10 9 8 7 7 6 7 8 10 11 11 9 8 9 9 10 9 9 9 9 8 7 7 6 6 6 6 7 8 10 12 13 13 14 14 12 9 8 10 12 14 16 18 19 19 16 14 11 10 10 11 11 10 10 9 9 9 9 10 10 10 10 9 11 13 14 15 15 14 12 9 8 7 7 8 8 8 7 7 7 7 7 7 8 10 11 11 11 11 12 12 11 11 9 8 8 10 13 15 15 15 16 18 20 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
6 5 4 2 2 2 2 3 1 1 1 2 3 3 3 2 3 3 2 3 3 4 4 3 3 2 1 1 1 2 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 2 23 69 115 168 265 392 509 613 740 841 818 715 602 539 507 461 412 377 347 310 263 217 186 161 140 123 108 98 96 100 98 90 85 84 82 76 73 54 37 26 19 12 8 7 8 9 10 12 14 15 13 12 11 12 13 15 16 17 17 17 17 16 14 13 12 12 12 12 11 9 9 10 10 11 11 11 12 12 11 10 9 8 8 7 6 5 6 7 9 12 13 13 13 12 10 9 8 8 7 7 8 8 8 9 10
11 10 7 3 1 1 1 2 2 2 2 2 2 3 3 2 2 2 3 2 2 3 4 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 6 29 61 104 164 232 294 375 502 659 761 745 595 511 478 448 414 385 355 310 266 217 187 167 147 132 126 124 127 129 129 124 118 114 112 102 79 60 42 30 21 13 8 6 7 9 11 13 16 17 15 13 13 14 14 16 19 20 21 20 20 19 17 14 12 11 10 9 9 9 9 10 11 12 11 10 11 11 9 8 8 7 7 6 6 6 7 9 11 12 13 13 13 12 10 8 8 8 7 7 7 7 7 7 7
13 11 7 2 1 1 1 2 2 2 2 2 3 3 3 2 2 1 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 28 66 111 146 178 229 322 479 643 733 606 500 449 425 405 378 366 326 273 228 200 180 162 151 148 146 152 157 159 157 151 144 137 125 102 77 53 35 26 19 11 8 8 9 11 13 16 17 17 16 17 16 17 18 19 19 18 15 15 14 12 10 9 7 7 5 6 8 10 12 14 14 13 11 9 9 8 7 7 6 5 5 6 7 8 9 10 11 12 12 12 12 10 8 8 7 7 6 6 7 6 6 6
13 11 6 2 2 2 2 2 2 2 2 2 3 3 2 2 1 1 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 33 65 94 118 152 213 326 422 566 573 496 421 383 372 356 335 307 271 240 217 198 183 173 166 164 169 176 180 180 175 166 154 141 124 102 73 48 34 25 14 9 9 10 10 12 14 17 18 16 17 19 18 16 14 12 11 9 7 7 7 6 6 6 6 7 8 9 11 14 16 15 14 11 9 8 8 7 6 5 5 6 7 9 9 9 9 11 11 11 11 10 9 8 7 7 6 6 6 6 7 7 8
12 10 6 3 2 2 3 3 3 2 2 2 2 2 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 33 53 71 96 134 221 289 423 510 503 431 355 337 314 295 282 267 250 233 218 206 192 185 184 186 190 193 195 194 184 173 161 145 119 88 62 43 29 17 10 8 8 10 11 12 14 16 18 22 22 18 14 11 9 8 7 8 8 7 6 7 7 7 9 9 10 11 13 15 15 13 11 9 7 7 6 5 5 7 8 9 10 10 9 9 10 10 10 9 8 6 6 6 6 5 6 8 9 9 9 9
11 9 6 3 2 3 3 4 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 4 13 20 25 44 79 130 191 286 390 455 454 353 301 279 271 264 259 259 254 237 221 211 203 201 203 205 209 214 216 215 204 188 167 139 105 74 51 38 23 12 8 8 9 10 10 11 13 15 17 16 14 13 12 11 9 9 10 9 7 7 8 8 8 9 9 10 10 11 12 13 12 10 8 7 7 5 4 5 7 8 9 9 9 9 9 9 9 8 7 6 6 5 6 6 6 7 8 10 10 9 8
9 9 7 5 3 4 4 5 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 8 30 61 100 162 248 329 411 359 297 262 251 257 273 291 289 263 245 231 217 212 219 224 229 235 238 231 221 211 190 162 132 91 62 46 32 19 10 6 9 9 10 10 10 10 10 11 11 11 11 12 11 10 10 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 8 7 7 5 5 5 6 8 8 8 9 9 9 8 8 8 7 6 6 6 7 7 7 7 8 10 8 7 7
8 8 7 7 5 6 7 6 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 18 37 75 137 192 280 321 310 265 233 247 289 341 336 301 277 255 237 230 231 239 243 253 256 239 221 214 212 196 164 113 77 55 41 29 16 3 7 9 9 9 9 8 8 7 7 8 10 12 11 12 12 12 10 9 9 9 9 9 9 10 10 9 9 9 9 8 7 7 6 6 5 5 6 8 8 8 8 8 8 8 8 7 6 6 7 9 10 10 9 9 9 8 7 7 7
8 9 9 9 9 9 9 8 6 3 1 1 3 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 0 6 26 58 97 165 277 309 268 241 246 300 377 333 295 279 263 246 236 243 266 270 282 283 264 232 211 219 201 169 126 91 67 50 38 22 11 8 9 10 10 10 9 7 6 6 7 9 10 10 11 11 12 11 10 10 9 9 9 9 10 10 9 9 9 8 8 7 7 6 6 5 4 6 8 8 8 8 8 8 8 8 7 6 7 9 10 12 14 13 12 11 9 9 10 10
6 8 9 10 9 9 8 8 6 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 41 75 184 283 305 284 251 298 382 330 275 253 243 236 242 272 312 324 328 327 312 278 220 215 193 161 128 101 81 58 47 32 20 13 11 11 12 11 10 8 8 7 7 7 8 9 9 10 11 11 11 10 9 8 9 9 9 9 9 9 8 8 8 7 7 6 5 5 4 6 8 8 8 8 8 8 8 7 6 6 8 10 11 15 17 16 14 12 12 12 12 12
3 4 6 7 6 6 6 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 24 90 193 278 310 265 301 371 345 276 235 230 237 270 340 394 416 414 399 376 310 243 219 196 166 137 112 96 70 55 42 31 21 15 14 15 13 11 10 9 9 8 8 9 9 9 9 9 10 11 10 9 8 9 9 9 9 9 9 8 8 8 7 7 6 5 5 5 7 8 8 8 8 8 7 7 7 6 7 8 10 10 13 15 16 15 14 15 14 14 13
2 3 3 3 3 4 5 5 4 4 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 0 0 0 1 8 38 107 218 300 273 289 315 307 262 219 229 266 345 435 508 540 526 497 459 376 305 253 211 175 148 123 110 88 67 52 40 30 23 18 16 15 12 11 11 10 9 9 8 10 10 9 9 9 10 9 8 8 8 8 9 9 9 8 8 8 8 7 6 6 6 5 5 7 8 8 8 8 8 7 7 7 6 7 9 10 9 10 12 14 15 16 16 15 15 14
1 1 1 1 2 4 4 4 5 4 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 0 0 0 0 0 0 0 0 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 9 27 80 163 221 267 313 331 267 224 245 306 390 475 553 606 602 593 547 467 379 301 237 187 157 138 122 104 79 58 47 38 31 23 19 18 17 16 15 13 12 12 10 9 9 8 7 7 9 9 9 9 9 8 9 8 8 9 9 9 8 7 6 6 6 5 6 7 8 8 8 8 7 7 7 7 7 6 9 10 9 9 10 12 14 15 15 15 15 15
0 0 0 1 1 2 3 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 82 154 226 315 405 361 292 286 325 376 427 486 560 614 657 646 581 475 360 276 212 174 153 133 115 95 73 56 43 37 27 23 23 23 22 19 17 16 16 13 10 8 6 6 7 8 8 8 8 8 7 8 9 9 9 9 8 7 6 6 6 6 5 6 7 8 8 8 8 7 7 7 7 6 7 8 9 9 8 8 10 13 13 13 15 15 15
0 0 0 0 1 1 3 4 5 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 27 67 132 230 330 322 296 294 299 308 328 358 420 518 631 698 668 551 417 320 247 203 176 154 137 124 102 70 49 40 32 28 27 27 27 24 22 20 18 15 13 12 11 9 8 7 6 6 6 6 7 8 8 8 9 8 7 7 7 6 6 6 5 5 7 8 8 8 6 5 5 5 6 5 6 7 7 8 7 7 8 11 13 15 15 14 12
0 1 0 0 1 2 3 4 4 3 5 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 14 46 122 182 207 222 252 265 243 232 245 288 362 485 602 643 583 480 380 297 247 213 185 163 148 130 94 63 46 36 31 30 30 28 28 26 23 20 18 15 14 14 12 10 8 6 6 6 6 6 6 7 7 8 8 7 7 6 6 6 6 5 5 7 7 8 7 6 5 4 5 4 4 4 5 5 5 6 6 7 9 13 15 15 13 10
1 2 1 0 1 2 2 2 1 0 1 2 2 2 2 2 2 1 1 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 1 9 44 83 122 169 220 244 226 194 188 210 256 341 445 524 541 500 431 353 295 254 219 188 168 155 123 89 62 45 38 35 30 28 29 28 27 24 21 17 15 14 14 13 10 9 8 7 6 5 6 6 6 7 7 7 6 6 6 6 6 4 6 7 7 7 7 6 5 4 4 4 5 6 7 6 6 6 6 7 9 12 15 15 13 10
1 3 3 2 2 1 0 0 0 0 0 0 0 0 1 0 2 2 2 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 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 30 61 104 158 210 224 191 179 197 233 284 344 408 467 501 476 414 348 295 253 221 200 177 149 117 88 62 45 39 33 30 29 30 30 28 24 20 18 15 14 13 12 11 12 11 9 8 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 6 6 5 4 5 7 7 7 7 7 7 6 7 8 11 12 12 11 9
0 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 42 74 116 131 134 155 184 224 284 345 393 425 482 495 462 404 341 299 268 238 206 172 138 110 82 59 47 40 35 33 31 32 31 28 24 21 18 16 14 13 12 12 12 12 11 9 7 8 7 7 7 7 7 5 5 5 6 6 6 6 7 6 6 5 5 5 5 7 7 7 7 7 7 7 6 5 7 9 10 10 10
0 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 15 22 36 46 65 88 118 161 217 315 398 416 432 466 487 448 385 347 308 271 236 199 156 128 104 83 65 50 41 38 34 34 32 29 26 24 21 18 16 16 14 14 14 13 12 12 11 10 10 9 9 8 7 6 5 5 6 7 6 6 6 6 6 6 5 5 6 7 6 7 7 7 7 6 6 5 7 9 9 9 10
0 0 0 1 2 4 5 5 4 1 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 10 15 21 29 42 61 92 115 214 311 372 406 436 475 453 413 373 333 295 261 229 184 152 126 105 84 65 51 43 39 37 33 30 29 27 24 22 19 18 17 15 14 12 11 11 11 11 11 12 12 9 8 7 6 7 7 7 6 6 5 6 6 5 5 5 6 7 7 7 7 7 6 6 5 5 5 7 8 8 8
0 1 1 1 2 4 6 7 8 6 4 2 1 0 0 0 0 0 0 0 0 1 2 4 4 4 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 17 26 33 47 70 140 224 305 361 372 409 420 416 400 365 318 285 260 225 189 154 128 107 85 68 53 44 41 37 33 31 29 27 25 22 21 19 17 16 14 12 12 12 12 12 13 11 10 9 8 8 8 7 6 5 5 5 6 6 6 6 6 7 7 7 7 7 7 6 5 5 5 6 7 7 7 8
2 3 3 3 4 6 7 8 11 10 9 7 5 3 1 1 0 0 0 0 0 0 2 5 7 8 7 6 6 7 6 3 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 3 6 13 17 23 44 87 144 213 283 312 348 367 384 390 372 336 307 287 266 232 194 164 142 120 95 71 55 47 42 37 34 31 30 28 27 25 23 20 16 16 16 15 15 14 13 11 11 11 10 10 9 9 7 5 5 5 6 6 6 6 7 7 7 8 8 7 7 6 6 6 6 6 8 8 9 9 8
3 3 2 3 3 4 7 10 13 13 13 12 10 7 6 4 1 0 0 0 0 1 3 6 9 11 12 11 10 10 10 8 5 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 10 20 46 86 130 191 247 288 311 333 355 366 350 317 298 285 264 235 208 180 152 126 97 75 59 48 41 36 32 32 32 30 28 26 24 23 22 19 17 15 15 13 11 10 9 9 9 9 8 7 5 5 5 6 7 6 6 7 7 8 8 7 7 7 7 6 6 6 8 9 10 10 10 9
1 2 3 2 2 5 8 11 14 15 15 15 13 10 8 6 2 1 0 0 1 2 3 7 10 13 14 13 12 14 12 11 7 6 6 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 24 56 85 130 186 231 261 287 314 339 340 308 291 283 272 260 249 219 186 152 122 96 74 54 48 41 38 37 36 35 31 28 27 26 24 21 18 16 14 13 12 12 11 11 10 9 7 5 5 6 6 7 7 6 6 7 7 8 8 7 7 7 7 7 6 6 8 10 10 10 10 11
1 4 5 5 6 9 9 10 12 14 15 15 15 12 9 7 4 2 2 2 3 5 8 11 13 15 16 16 16 18 13 12 9 7 6 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 12 27 47 83 132 178 212 238 260 281 289 275 263 260 261 259 268 248 213 176 144 118 95 69 59 51 44 39 39 40 37 34 32 29 25 23 21 19 17 15 14 13 13 12 11 10 9 8 8 8 8 9 8 7 7 7 7 7 8 8 7 7 7 7 8 9 10 11 11 11 13 15
3 4 4 5 7 8 10 11 12 13 16 17 17 16 12 9 6 4 4 5 6 8 11 13 15 17 17 16 16 16 17 15 13 10 8 5 4 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 5 13 28 51 88 130 167 195 207 219 231 233 229 230 237 238 252 250 232 204 173 146 122 93 71 59 53 46 41 41 40 39 37 33 29 26 25 23 21 19 18 15 15 13 13 12 10 10 10 10 10 10 10 9 8 9 6 7 8 8 8 9 8 9 10 10 11 11 13 15 18 18
2 3 4 4 6 8 10 12 14 15 16 18 19 18 16 13 11 8 7 8 9 10 11 13 14 14 14 11 8 12 15 14 14 13 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 2 14 30 52 82 116 144 160 170 179 188 195 198 205 212 224 234 236 228 204 181 156 124 91 69 64 59 51 46 43 42 41 37 34 32 30 27 25 23 21 18 16 15 14 13 12 12 11 10 11 11 11 11 9 7 6 7 8 8 8 11 11 11 10 11 12 12 15 18 20 21
2 2 3 4 6 9 12 16 19 20 19 19 19 19 19 18 17 14 12 12 13 13 13 13 14 13 11 10 11 11 11 11 11 10 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 2 9 23 46 82 115 135 146 149 147 152 157 168 182 196 205 208 222 216 205 190 165 129 94 79 68 61 56 51 48 47 43 40 37 34 32 30 27 23 21 18 16 15 14 14 13 11 11 12 12 11 10 9 8 7 8 8 9 12 13 12 11 10 11 11 13 17 20 21 22
8 5 4 5 7 10 13 18 22 23 22 21 22 21 21 21 20 18 17 16 16 17 17 17 17 15 11 9 8 7 8 9 9 8 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 0 0 0 0 0 0 0 0 0 1 3 7 22 40 57 78 99 104 105 108 119 129 136 146 164 170 193 206 211 209 194 163 132 105 81 69 64 59 54 52 50 46 41 37 35 33 32 29 24 20 17 16 16 15 14 14 14 13 11 8 9 9 9 10 9 10 12 13 12 11 11 11 11 13 17 20 21 21 22
10 4 2 5 9 12 15 19 22 24 24 24 26 25 24 24 24 22 21 20 20 20 20 20 19 17 12 8 9 8 7 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 15 20 25 43 67 85 100 109 109 108 123 142 163 185 202 210 213 197 169 140 108 85 72 64 61 58 53 49 46 42 39 35 33 31 27 23 20 18 17 16 16 16 14 11 10 9 10 12 14 16 14 14 14 13 12 12 13 14 13 16 20 22 22 21 21
12 6 3 5 10 13 16 19 22 25 26 27 30 30 29 30 29 27 25 23 23 23 24 23 21 17 15 11 10 8 6 4 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 0 0 0 0 1 2 3 5 11 30 55 81 99 99 93 99 113 126 148 174 196 215 221 213 181 142 110 85 71 66 64 60 54 50 47 45 38 34 32 31 28 23 20 18 17 16 14 10 9 10 12 14 17 19 19 16 14 13 11 12 18 21 22 22 24 26 26 23 21 20
7 7 8 9 11 13 15 18 22 25 27 29 32 34 36 38 37 33 28 25 25 24 24 25 24 21 17 15 13 12 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 24 46 69 78 85 100 97 95 108 133 162 184 200 204 188 160 131 102 82 74 71 68 61 56 51 47 42 39 38 36 34 28 23 19 18 17 15 10 12 13 13 14 17 18 15 13 12 11 11 17 28 32 34 34 33 30 28 24 22 20
11 10 11 11 13 15 18 20 23 25 28 31 33 35 40 44 44 40 35 30 28 28 29 29 29 26 22 20 18 16 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 36 49 64 86 90 82 86 94 115 138 156 165 163 153 134 115 97 84 77 73 68 64 57 52 49 48 47 44 38 32 26 21 17 17 16 17 17 15 15 17 17 16 13 12 12 12 15 27 39 44 42 39 34 29 26 24 22 20
16 15 15 15 15 17 19 24 28 29 31 33 34 35 38 45 50 46 38 33 31 32 35 38 39 39 34 29 24 20 15 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 18 28 40 55 68 74 77 72 83 102 120 131 133 129 119 108 96 85 79 75 70 67 62 56 51 53 50 46 41 36 31 26 21 20 19 20 21 21 20 20 20 17 15 15 16 17 20 31 41 44 41 34 27 26 26 25 23 20
46 37 30 28 23 25 27 31 33 34 36 38 36 35 38 45 52 52 46 42 41 43 48 54 58 54 45 36 30 25 21 13 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 0 0 0 0 0 2 10 16 24 34 45 56 62 62 66 76 89 103 107 105 99 93 85 75 71 68 67 64 62 60 56 54 52 50 46 40 33 32 29 24 23 24 26 26 24 23 21 17 16 18 20 24 23 27 31 34 36 33 30 30 30 29 25 22
74 63 58 54 43 45 47 47 43 40 41 43 41 40 42 48 58 62 59 56 52 53 59 65 63 52 43 36 31 29 26 19 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 12 22 31 39 44 49 53 60 67 74 80 81 78 75 72 67 63 61 59 58 59 60 62 61 59 58 54 46 38 36 33 29 28 29 29 28 27 24 22 21 20 22 23 25 25 26 28 31 34 34 34 36 37 35 30 27
104 91 83 74 69 68 68 65 60 56 52 52 51 49 53 63 73 75 73 69 64 63 65 64 55 43 40 37 35 34 31 25 16 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 0 0 0 0 0 0 0 0 0 0 0 1 4 13 19 24 29 33 38 43 50 55 59 61 62 62 62 60 57 55 54 54 54 59 64 68 68 67 64 58 51 44 41 40 35 31 29 27 25 24 24 24 24 25 26 26 25 24 28 30 33 35 37 39 40 37 34 31
121 108 105 98 89 89 93 92 88 84 78 76 74 74 79 87 93 94 90 86 80 75 71 68 60 52 44 40 40 42 39 31 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 11 15 19 25 27 33 39 44 49 52 52 53 51 49 47 47 49 51 56 62 68 70 71 71 68 62 54 48 44 38 33 30 29 28 27 28 26 27 28 28 26 24 22 27 30 34 37 37 39 38 35 33 32
113 105 102 98 98 102 108 111 113 113 110 108 107 108 111 114 115 114 108 101 93 85 79 76 63 52 46 44 45 46 43 34 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 8 12 15 20 26 31 35 39 42 44 44 43 41 41 44 48 54 62 69 72 74 75 72 68 64 58 52 45 40 38 36 36 36 35 32 33 35 33 27 26 25 25 27 29 32 35 36 34 32 31 30
58 66 79 90 97 96 94 98 109 118 122 126 132 137 141 141 136 130 121 113 103 92 79 80 70 58 51 50 52 50 46 34 19 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 13 19 22 24 28 31 33 35 35 35 37 41 46 55 67 79 82 81 77 74 72 70 68 64 58 53 49 46 46 40 39 39 40 41 39 33 29 26 24 25 29 36 38 37 35 33 31 28
38 53 70 81 88 89 90 96 105 114 122 134 148 158 161 159 152 140 130 121 113 102 83 78 70 63 59 59 60 56 48 30 16 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 15 16 18 19 22 25 29 31 33 38 47 60 76 87 90 87 81 75 73 74 76 72 68 65 63 57 57 50 46 46 46 42 39 36 33 28 24 25 31 37 38 37 35 34 33 31
35 46 59 62 68 75 84 95 110 126 126 135 150 161 163 162 159 149 138 128 121 110 92 80 73 70 68 67 69 64 52 32 14 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 7 8 12 18 23 27 31 36 44 58 75 87 91 89 85 80 76 75 74 72 69 68 66 61 60 58 56 55 52 44 39 36 33 30 27 26 29 33 35 34 34 35 35 34
14 19 24 27 35 45 55 64 75 94 87 93 107 121 132 146 153 154 150 144 134 121 105 90 84 85 82 76 75 70 58 40 20 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 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 6 13 19 24 29 35 40 49 67 80 87 89 88 87 85 83 81 77 73 69 67 66 66 66 64 61 56 50 45 41 38 36 35 32 33 33 33 31 34 37 38 38
3 6 9 9 14 22 30 37 41 55 52 57 70 88 105 125 132 141 147 147 142 134 123 108 103 103 101 91 84 76 62 41 21 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 16 22 28 34 37 42 54 68 78 85 89 92 92 91 89 87 86 84 83 81 79 77 70 66 64 61 58 58 51 46 44 40 37 35 33 34 38 42 44 43
2 4 6 8 11 16 22 33 40 48 51 59 70 83 96 99 110 122 132 140 142 137 136 120 112 110 109 107 102 88 70 49 29 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 20 26 33 37 41 49 58 69 80 86 90 94 97 98 97 97 99 101 102 99 91 82 78 77 75 72 64 59 56 53 50 46 43 42 45 48 49 47 43
2 5 8 11 14 18 22 30 40 50 58 67 78 87 94 99 107 111 115 120 125 119 141 133 124 123 125 129 128 102 81 63 44 23 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 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 3 10 16 21 28 34 40 45 50 60 74 80 83 88 100 93 91 96 102 105 103 100 99 96 92 90 89 82 74 69 65 63 61 59 57 56 57 58 55 52 47
3 7 10 13 16 17 17 17 22 31 41 53 69 88 100 102 101 102 104 108 117 140 152 152 148 146 148 157 154 117 89 70 53 31 9 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 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 12 16 22 30 36 40 44 55 67 77 86 95 99 88 86 93 103 110 110 106 104 100 93 89 89 84 79 76 74 70 70 73 69 66 65 61 58 55 50
7 10 10 10 9 8 7 6 7 9 16 28 46 67 86 100 103 103 107 117 131 148 156 156 149 139 134 139 135 112 89 70 49 27 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 12 16 20 27 37 43 52 62 72 80 80 77 78 81 90 102 105 107 110 102 91 86 83 87 88 87 88 87 87 84 80 75 73 68 65 61 58 53
9 11 9 6 4 3 2 2 2 2 4 9 18 29 41 55 71 83 91 98 103 115 120 116 105 93 90 86 84 77 65 49 32 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 12 21 27 37 46 53 59 66 74 74 72 71 74 77 81 80 78 72 74 82 92 106 117 125 130 127 121 116 108 100 95 85 73 68 63 59 56
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