Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 9 8 7 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 9 9 9 9 8 8 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 7 7 8 8 8 9 10 11 12 11 10 11 11 12 11 11 10 9 8 7 6 6 6 5 5 4 4 4 4 4 5 6 7 8 8 8 7 7 6 6 6 6 7 7 7 6 6 6 7 9 11 13 15 16 16 16 14 12 10 8 6 5 4 3 3 4 5 5 6 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 9 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 9 8 7 7 7 7 8 8 8 9 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 8 8 7 8 9 10 11 12 11 10 10 11 12 12 12 11 11 9 8 7 7 6 5 5 4 4 3 4 4 5 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 9 11 13 16 18 18 18 16 13 12 10 8 7 5 4 5 5 6 6 6 6 5 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 8 8 7 7 7 7 9 9 10 9 8 7 6 6 6 7 7 7 8 8 8 9 11 11 10 10 10 11 12 12 13 12 10 9 8 7 7 6 5 4 3 3 3 4 5 6 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 12 15 17 19 19 18 17 16 14 13 11 9 8 7 7 7 7 6 6 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 7 7 7 8 7 7 7 7 7 7 nan
nan 7 7 7 7 8 8 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 7 7 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 8 9 9 9 8 7 6 6 6 6 7 7 8 8 7 8 10 11 11 11 10 10 12 13 14 13 12 11 10 9 7 6 5 4 3 3 3 4 5 7 8 8 7 7 6 6 6 6 7 7 8 9 9 9 9 9 8 8 8 9 10 12 15 17 18 18 19 19 18 17 15 14 12 11 10 9 8 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 nan
nan 7 6 7 7 8 8 7 7 7 7 7 7 7 7 6 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 7 7 8 8 7 7 7 7 7 8 9 9 10 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 7 6 6 6 6 6 7 7 8 7 7 9 11 12 12 11 11 12 13 14 13 13 12 11 10 8 7 5 4 4 3 3 4 6 7 8 8 7 7 6 6 5 6 6 7 8 9 9 9 9 8 8 8 8 8 9 10 11 13 15 16 18 19 20 20 20 19 18 15 12 10 8 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 7 nan
nan 7 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 9 9 10 9 9 8 7 8 8 9 9 9 8 7 7 7 7 7 7 7 6 6 7 8 9 9 9 9 8 8 8 8 7 7 7 7 6 7 8 8 8 7 7 7 7 6 6 6 7 8 8 8 8 10 11 12 12 12 13 14 14 14 13 13 13 12 10 8 6 5 4 3 3 4 6 7 8 8 8 7 6 5 5 5 5 6 7 8 9 9 8 8 7 7 7 7 7 8 8 9 10 12 14 16 18 21 22 23 21 18 14 11 8 7 7 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 9 9 8 8 8 7 7 7 7 7 nan
nan 8 7 6 6 7 8 8 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 9 9 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 8 8 8 8 8 7 8 7 7 7 8 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 10 12 13 15 16 16 15 15 14 14 13 11 9 7 6 4 3 3 4 6 7 8 8 8 7 6 5 5 5 5 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 8 11 14 18 21 22 22 19 15 12 9 8 7 7 7 7 7 7 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 8 8 7 7 7 7 7 7 nan
nan 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 8 9 9 9 8 7 7 8 8 8 9 8 6 6 8 9 9 8 8 7 7 8 8 7 7 8 8 8 7 7 7 8 10 12 15 17 18 17 17 16 15 14 13 11 9 7 5 4 4 5 6 7 8 8 8 7 6 6 5 5 5 5 5 6 6 6 6 5 5 4 4 5 5 5 5 5 5 4 4 6 9 13 17 19 20 18 16 13 10 9 8 8 8 8 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 8 8 7 7 7 7 7 7 7 nan
nan 8 8 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 8 9 9 10 9 8 7 6 6 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 7 7 6 6 7 8 9 9 10 10 9 8 6 7 8 9 10 10 9 7 6 6 7 8 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 8 10 13 16 18 19 19 18 16 14 14 12 11 8 6 5 5 5 6 7 7 8 7 7 7 6 6 6 6 5 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 4 3 4 5 8 12 15 17 17 16 14 12 10 9 9 8 9 8 7 7 6 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 8 9 10 10 9 8 7 6 5 5 5 6 6 6 6 7 7 6 6 5 5 5 5 5 6 7 7 7 7 7 7 8 10 10 10 10 10 10 8 8 8 9 10 10 10 10 8 6 5 6 7 8 8 8 7 7 8 8 7 7 7 7 7 7 7 8 8 9 10 12 14 17 19 19 18 16 15 13 12 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 8 11 13 15 16 15 14 12 11 10 10 10 9 8 7 6 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 7 7 7 7 6 6 6 7 7 6 nan
nan 7 7 7 6 6 7 8 8 8 7 7 7 7 7 7 8 9 10 10 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 8 9 10 10 10 9 9 10 10 9 9 9 9 10 10 10 9 9 7 6 6 6 7 8 8 8 7 8 8 8 7 7 7 8 8 8 8 9 9 9 9 10 13 16 19 19 18 17 15 14 12 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 10 13 15 15 15 14 13 12 12 11 10 9 7 6 5 4 4 4 4 5 5 5 6 6 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 7 6 nan
nan 7 7 7 6 6 7 8 8 8 7 7 7 8 8 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 10 13 16 18 19 19 18 16 14 12 12 11 10 9 8 8 8 9 9 9 9 10 10 10 10 9 8 8 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 5 6 7 9 11 13 15 15 15 14 14 13 11 10 8 6 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 5 5 6 7 7 6 nan
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nan 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 8 9 9 9 9 8 7 7 7 8 7 7 7 7 7 8 9 10 10 10 10 11 13 16 20 22 21 19 17 15 14 14 14 13 13 13 13 14 14 15 16 17 17 18 18 17 15 14 13 12 11 11 10 9 8 7 6 6 6 6 6 6 6 7 7 7 6 6 6 7 9 11 12 14 15 15 15 13 11 10 8 7 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 5 6 7 7 7 6 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 9 8 7 8 8 8 8 8 7 7 7 8 8 9 8 8 8 8 9 8 8 8 8 9 9 10 11 11 11 11 10 10 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 8 8 7 8 8 8 7 7 8 8 8 8 8 8 7 6 7 8 8 8 7 7 7 8 9 10 10 10 10 10 10 11 14 17 19 20 20 18 16 15 15 15 15 15 16 16 16 17 17 18 18 20 20 21 21 19 18 17 16 15 14 13 12 11 9 8 8 7 7 7 7 7 7 7 7 7 6 6 5 6 7 9 11 13 15 15 15 14 12 10 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 7 6 nan
nan 7 6 7 7 8 8 8 7 7 8 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 8 9 9 9 10 10 9 9 8 8 7 7 7 8 8 8 9 9 9 8 7 6 6 6 7 7 8 8 8 8 8 9 10 10 10 10 10 10 11 11 11 12 14 16 17 17 16 16 15 15 15 15 16 16 17 17 17 18 18 19 20 21 21 21 20 19 18 18 17 16 15 14 12 11 10 10 9 9 8 8 7 7 6 6 6 6 6 6 6 6 8 10 12 14 16 16 15 13 11 9 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 6 6 nan
nan 7 6 6 7 8 8 9 8 8 8 8 8 9 9 10 9 7 7 7 8 8 7 8 8 9 9 8 8 8 9 9 9 9 9 10 11 12 12 12 11 11 10 9 8 8 7 6 5 5 6 7 7 7 8 9 10 10 10 10 10 9 9 8 8 8 7 7 8 8 8 9 9 10 10 9 7 6 5 5 6 7 8 8 8 8 8 10 11 11 10 10 10 11 11 11 11 10 11 12 12 13 14 14 14 13 13 14 14 14 14 15 16 17 18 18 19 20 20 20 20 20 19 19 18 18 17 16 15 14 14 13 12 11 10 9 8 7 6 6 6 6 6 6 6 5 6 7 9 12 14 16 16 15 14 11 9 8 7 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 6 6 nan
nan 7 6 5 6 7 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 9 10 10 10 11 12 12 11 10 10 10 11 12 12 12 11 10 9 8 7 7 6 5 4 5 7 8 8 8 10 11 10 10 10 10 10 9 9 8 8 8 8 7 8 8 9 9 9 9 10 9 8 7 6 6 6 8 8 9 9 8 9 10 11 11 11 11 11 12 12 12 11 10 10 10 9 9 9 10 11 11 11 12 12 12 12 14 15 17 18 18 18 18 18 19 19 19 18 18 18 18 17 17 17 17 16 15 14 13 12 10 10 9 8 8 7 7 7 7 6 6 5 6 6 8 11 14 15 16 15 13 11 9 8 6 6 6 6 6 5 5 5 6 6 5 5 6 6 6 7 7 6 6 6 6 6 6 7 6 6 6 nan
nan 8 7 6 5 6 7 8 8 8 8 8 8 8 9 9 7 6 7 7 7 8 8 8 8 9 10 11 11 12 12 13 13 11 10 9 8 9 10 10 9 9 8 8 7 6 6 5 5 6 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 8 9 9 10 9 9 10 10 10 11 10 10 11 12 11 11 10 10 10 9 8 7 7 7 8 8 8 8 9 11 14 16 17 18 18 18 17 17 17 17 17 17 16 17 17 17 17 17 17 17 16 15 14 13 12 11 11 11 10 10 8 8 7 7 7 6 6 6 6 8 11 14 15 15 14 13 11 8 7 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 6 6 6 6 6 7 7 6 6 6 nan
nan 8 7 6 6 6 7 7 8 8 8 8 8 8 9 8 7 6 6 6 6 8 8 8 8 9 9 10 11 10 11 11 11 10 8 7 7 7 8 9 9 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 7 7 7 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 9 10 10 10 10 10 9 10 11 11 11 10 10 10 11 11 10 8 6 6 6 5 4 4 5 9 13 17 18 17 16 16 15 15 15 15 15 15 15 15 15 15 15 15 16 16 15 15 15 14 13 12 12 12 12 11 10 9 8 8 7 7 7 6 6 7 9 11 13 14 14 13 11 9 8 7 7 6 6 6 5 5 5 5 5 5 6 6 6 6 7 6 6 6 6 6 7 7 6 6 6 nan
nan 8 8 7 6 6 6 7 7 7 7 7 8 8 8 7 6 5 5 6 6 7 8 9 8 8 8 9 10 9 9 8 8 8 7 6 6 6 7 8 9 9 8 8 8 8 8 8 8 7 7 6 7 8 8 7 6 6 6 5 5 5 6 7 8 8 8 8 8 8 8 9 9 9 10 10 9 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 9 11 13 13 11 9 7 6 4 2 0 0 3 9 15 16 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 13 12 12 12 12 12 11 10 9 9 8 8 8 8 7 6 7 9 11 13 14 14 12 11 9 8 7 7 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 nan
nan 8 8 7 6 6 6 7 7 7 7 7 7 7 7 6 5 5 6 6 7 7 7 8 8 7 8 9 9 9 8 7 7 8 7 7 6 5 7 8 9 9 9 8 8 7 8 8 8 7 6 6 7 8 6 5 5 5 5 5 5 6 7 8 8 8 8 8 8 9 9 9 10 10 10 9 8 8 8 10 11 11 11 9 9 9 8 9 9 9 9 9 10 10 10 10 10 9 9 11 12 13 12 11 9 8 6 4 1 -2 -2 3 9 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 11 11 11 12 12 11 10 10 9 9 9 9 8 7 7 7 9 12 14 15 14 13 11 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 7 7 7 7 6 nan
nan 8 8 7 6 5 5 6 6 7 7 7 7 7 7 6 6 6 7 7 7 5 5 7 8 8 8 9 9 9 7 7 7 8 8 7 6 6 6 8 9 10 9 8 8 7 8 9 9 8 8 8 9 7 6 5 6 6 6 6 7 9 9 9 9 8 8 8 8 9 9 9 10 10 9 9 8 8 9 10 11 12 11 9 8 8 8 9 9 9 9 10 10 9 9 9 9 8 8 9 11 12 12 11 10 9 8 7 4 -1 -4 -3 0 4 6 6 6 7 8 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 11 11 11 10 10 10 10 9 8 7 7 8 11 13 15 15 14 13 11 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 7 7 7 7 7 nan
nan 7 7 6 5 5 5 6 6 7 7 8 9 9 8 8 7 7 8 8 8 7 7 8 8 8 9 9 9 9 8 7 8 8 8 7 7 7 7 8 9 10 11 10 10 9 10 10 9 9 9 10 9 8 7 7 8 8 9 9 10 10 10 10 10 9 8 8 8 8 9 9 9 10 9 9 9 9 9 10 11 11 10 9 8 9 9 9 9 8 9 10 10 9 9 9 8 8 8 8 10 11 11 11 10 10 9 8 6 2 -2 -5 -6 -4 -1 1 3 4 6 8 9 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 10 13 15 16 15 14 12 11 10 9 8 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 7 7 nan
nan 7 7 6 5 5 5 6 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 10 10 9 8 8 7 7 8 8 8 9 11 12 12 12 11 10 9 8 9 10 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 8 8 8 9 9 10 10 9 9 9 9 10 11 11 10 9 8 9 10 10 9 8 7 8 8 9 9 8 7 8 8 7 7 8 10 11 11 10 10 9 9 8 6 3 -2 -6 -7 -6 -4 -1 2 4 6 7 8 8 7 6 6 6 6 7 7 8 9 9 9 9 10 10 11 11 10 10 10 10 11 12 12 12 13 12 12 11 10 9 9 10 13 15 16 16 15 14 12 11 10 9 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 7 7 nan
nan 8 8 7 6 4 4 5 6 7 7 8 9 10 10 11 11 11 10 9 9 9 10 9 9 9 9 10 11 12 12 11 10 9 8 8 8 8 8 9 10 11 11 11 10 10 8 7 7 8 10 10 9 10 10 11 11 10 10 10 11 10 10 11 11 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 9 9 10 10 8 7 6 6 6 7 8 8 7 6 6 7 7 7 7 9 10 10 10 10 9 9 8 8 7 4 -0 -4 -6 -6 -4 -1 2 4 4 5 4 4 3 3 3 4 5 5 6 7 7 7 8 8 9 9 9 9 9 9 9 11 12 13 14 14 14 13 12 11 10 10 11 13 15 16 16 15 14 13 12 11 9 8 7 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 8 8 7 nan
nan 12 11 11 9 7 6 6 7 7 7 8 9 10 10 11 11 11 10 8 8 8 8 8 9 9 10 11 11 11 11 10 10 9 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 8 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 12 11 10 10 9 10 10 9 7 5 5 5 6 7 7 8 7 6 6 7 8 8 7 7 8 9 9 9 9 9 9 9 9 8 6 2 -0 -3 -4 -3 -1 1 2 1 0 0 1 1 2 3 4 4 5 6 6 6 7 7 7 8 8 8 8 8 8 10 12 13 15 15 15 14 13 12 11 11 12 13 15 16 16 16 15 14 12 11 10 8 7 7 7 6 6 7 6 7 7 7 7 7 7 8 8 8 8 8 8 7 nan
nan 15 15 15 15 14 11 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 10 11 10 10 9 9 9 9 9 8 7 7 8 8 8 8 9 10 10 11 11 11 10 9 11 12 13 13 13 12 11 10 10 10 10 9 8 6 6 5 5 6 6 6 7 7 7 8 9 10 9 8 7 8 8 8 8 9 9 9 10 10 10 9 7 5 2 -0 -1 -1 0 1 0 -2 -2 -1 1 3 3 4 4 4 5 5 5 6 6 7 7 7 7 7 6 7 8 10 13 15 16 16 14 13 11 11 11 12 13 15 16 16 16 15 14 13 12 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 nan
nan 15 16 17 18 18 17 15 15 14 14 14 13 12 11 11 11 11 11 11 11 11 12 12 12 11 10 10 9 8 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 10 10 10 10 10 9 9 9 9 8 7 7 7 7 7 7 8 9 10 11 11 10 10 12 14 15 14 12 12 12 11 10 10 9 9 8 7 7 7 7 7 6 6 6 5 5 5 7 9 10 10 9 9 9 9 8 8 8 9 10 10 10 10 10 10 9 7 5 3 3 3 3 2 -1 -3 -4 -0 4 5 4 4 3 3 4 4 5 5 6 7 7 7 7 6 6 7 9 12 15 17 17 15 13 11 10 10 11 12 14 16 16 16 15 14 13 12 11 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
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nan 12 13 13 12 11 12 14 15 15 15 14 12 11 10 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 9 9 10 9 9 8 7 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 8 7 6 6 6 6 6 7 9 11 11 11 10 10 10 12 12 12 11 10 9 9 10 10 10 9 9 9 9 9 10 10 9 8 7 7 7 6 5 4 4 5 6 7 8 9 9 8 7 7 8 8 9 9 9 10 11 11 10 9 8 8 7 6 4 0 -3 -2 2 5 6 5 5 4 4 3 3 3 3 4 4 5 6 7 7 7 6 7 9 13 16 16 15 13 11 9 7 8 9 11 13 15 15 15 14 13 12 12 12 11 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 7 7 7 7 nan
nan 12 11 11 10 9 9 10 11 12 13 13 12 10 9 9 8 8 9 10 10 11 10 10 9 8 8 8 9 10 10 10 10 10 10 11 11 10 9 8 7 7 8 8 8 7 6 6 6 7 7 7 7 7 8 8 8 8 7 6 6 7 7 7 7 8 10 11 11 11 10 9 8 8 8 8 9 9 10 10 10 10 9 9 9 9 8 8 8 9 9 8 8 8 8 7 6 5 5 5 6 6 7 8 8 7 7 7 8 8 8 8 9 10 11 10 9 8 8 7 6 2 -2 -3 1 5 6 6 6 6 5 5 4 4 4 4 4 4 4 5 6 7 7 7 7 9 12 14 16 15 13 12 10 8 8 8 8 10 12 13 14 14 13 13 13 13 12 11 10 9 10 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 nan
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nan 7 7 7 8 8 8 9 9 9 8 7 7 8 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 9 11 12 12 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 11 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 7 6 7 8 10 10 11 10 10 9 9 10 10 10 9 7 5 4 3 4 4 5 5 5 5 5 6 7 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 11 11 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 10 10 9 9 9 10 10 9 9 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 12 12 12 13 13 14 14 13 11 9 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 7 6 7 9 9 9 9 9 9 10 10 10 10 10 9 7 7 7 6 6 6 8 9 8 7 6 6 6 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 nan
nan 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 9 8 8 7 8 9 9 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 12 11 10 10 10 10 11 12 14 14 14 12 10 9 8 8 8 9 9 9 8 8 9 9 9 9 9 9 8 8 9 10 11 11 10 10 10 10 8 7 7 8 8 7 7 8 8 9 10 11 10 9 8 8 8 8 9 9 9 10 11 12 11 10 9 9 9 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 8 nan
nan 9 9 8 8 8 7 7 8 8 9 10 10 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 9 8 8 7 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 10 12 13 13 11 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 9 10 9 9 10 10 10 9 8 8 7 6 6 7 7 8 8 10 10 10 9 7 7 7 8 8 9 9 9 9 11 12 12 12 11 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 nan
nan 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 13 13 12 12 12 12 11 11 11 10 10 10 9 8 7 7 7 8 9 9 9 8 8 8 8 9 8 8 8 8 9 9 10 10 10 11 11 10 10 9 8 9 9 10 10 10 8 8 9 9 10 9 9 9 9 8 8 8 8 8 9 9 8 7 7 7 8 9 9 8 8 9 10 11 11 10 9 8 7 7 7 8 8 9 9 9 9 9 8 8 7 8 8 9 8 8 7 8 9 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 nan
nan 9 10 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 13 12 12 12 12 12 12 11 11 10 10 9 8 7 6 7 9 10 11 10 8 7 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 10 9 8 8 9 9 9 9 8 9 9 10 10 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 8 8 8 8 7 7 9 10 11 12 11 10 9 8 8 8 8 9 8 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 7 6 6 6 6 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 nan
nan 9 9 10 10 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 11 11 11 11 11 12 11 11 10 10 9 8 8 8 9 11 13 14 14 12 10 10 10 10 9 8 7 7 8 9 10 11 12 12 12 12 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 7 8 8 8 8 8 9 10 11 12 12 11 10 9 8 8 8 8 8 8 8 9 10 10 10 10 9 10 10 10 9 8 7 6 6 6 6 5 5 5 6 6 6 6 6 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 nan
nan 9 9 9 9 10 10 9 9 8 7 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 12 14 17 18 17 16 15 15 15 15 14 12 10 8 7 7 9 10 11 12 13 13 12 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 8 8 9 9 9 8 8 7 7 7 7 7 6 5 6 7 8 10 10 10 11 11 12 12 11 11 11 10 9 8 8 8 9 9 9 9 9 10 10 10 9 9 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 6 6 5 5 5 6 6 6 6 7 8 8 8 9 9 8 8 8 8 8 8 8 7 7 nan
nan 10 9 9 9 10 10 9 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 14 15 16 17 17 17 16 15 14 15 16 17 18 16 14 12 10 9 9 10 10 10 11 11 12 11 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 10 11 11 12 11 11 11 11 11 11 10 9 8 9 10 10 10 9 9 9 9 10 10 9 9 10 10 10 11 10 10 9 9 9 9 10 10 10 9 9 9 8 8 7 6 5 4 4 5 6 6 7 7 7 7 7 8 8 8 7 7 7 7 6 nan
nan 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 14 16 18 18 17 16 15 14 12 11 11 12 13 14 15 14 14 13 13 14 14 13 12 10 9 10 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 10 11 12 11 11 10 11 11 10 9 8 9 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 7 6 5 5 6 6 5 5 5 6 7 8 8 8 7 7 6 6 6 6 nan
nan 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 7 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 11 12 14 16 18 18 16 14 12 11 10 9 9 9 10 11 11 11 11 12 13 14 16 17 17 15 14 12 11 11 11 11 12 11 11 10 10 9 9 9 9 9 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 11 11 10 10 10 10 10 9 8 8 9 10 10 10 9 9 8 9 10 10 10 10 10 10 11 11 11 11 10 9 9 8 9 9 10 10 10 10 9 9 9 8 8 7 7 8 8 6 5 5 6 7 9 10 9 8 7 7 7 7 7 7 nan
nan 9 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 9 9 9 9 9 10 11 12 11 10 8 7 6 6 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 11 14 15 14 13 10 9 8 8 7 7 7 8 9 10 10 10 10 10 11 12 13 14 15 16 16 15 15 14 13 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 11 11 10 9 9 9 10 10 9 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 10 11 11 11 10 10 10 9 8 8 9 10 10 9 9 9 9 9 8 8 8 9 9 8 7 7 7 8 9 10 11 10 9 8 8 7 7 8 8 nan
nan 9 9 10 11 11 11 11 12 12 12 12 11 10 10 9 9 8 8 8 8 9 9 9 9 10 11 13 13 13 12 10 7 6 5 6 7 9 10 10 9 9 9 9 9 9 9 10 9 9 8 8 7 8 8 7 7 7 8 10 12 12 10 8 6 5 5 5 5 5 7 8 8 8 9 9 9 9 9 10 10 11 11 13 14 15 16 16 15 14 12 11 10 10 10 11 11 10 10 9 9 8 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 10 9 9 9 10 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 9 8 8 9 9 9 9 10 10 9 9 8 8 9 9 9 10 10 9 9 9 8 8 8 9 9 nan
nan 9 9 10 10 11 11 11 12 12 12 12 12 11 10 9 9 8 8 8 8 9 9 9 9 11 12 14 14 14 12 11 9 7 5 4 5 8 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 7 6 6 6 8 10 11 10 9 7 6 6 6 6 6 7 8 7 6 6 6 7 8 8 9 9 9 9 9 10 11 12 13 14 14 14 14 14 13 12 11 11 11 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 10 9 9 10 10 11 10 9 9 9 10 10 9 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 nan
nan 9 9 9 10 10 10 10 11 11 12 12 12 12 11 10 9 9 9 9 9 9 8 8 10 11 13 15 16 14 13 11 10 8 5 4 4 7 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 7 6 6 7 8 9 10 10 9 9 8 9 10 11 12 12 10 7 5 5 6 6 7 7 8 8 8 9 9 9 9 10 10 11 12 13 15 15 16 15 14 13 12 11 10 10 9 9 9 10 10 10 10 10 9 9 8 8 9 10 12 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 8 8 8 8 9 9 10 10 9 9 9 10 11 11 10 9 9 10 10 9 9 8 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 10 10 10 11 12 12 12 12 11 10 10 10 9 9 8 8 8 10 12 14 17 17 15 14 12 11 9 7 4 4 6 8 10 10 10 9 9 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 8 9 10 10 9 9 11 13 15 15 13 11 8 7 7 7 6 6 6 7 7 8 8 8 9 9 9 9 10 10 11 12 13 14 15 15 15 14 13 12 10 9 9 10 11 11 11 11 10 10 9 9 10 11 12 13 12 11 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 12 12 12 11 10 10 9 9 8 8 8 8 8 9 10 11 10 9 8 8 9 10 10 10 9 9 10 10 10 9 9 9 10 11 11 11 11 11 10 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 10 10 10 10 10 10 11 12 13 12 12 11 11 10 10 9 8 8 9 10 13 16 19 18 17 15 13 12 10 7 5 3 4 7 9 9 9 9 8 8 7 8 8 9 9 9 10 10 9 8 7 7 7 8 9 9 9 9 9 11 13 15 13 10 8 7 7 9 10 9 7 7 7 6 6 7 7 8 8 8 8 8 8 9 9 10 10 11 12 13 14 14 14 14 12 11 10 11 12 12 12 12 11 11 10 11 12 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 8 8 8 9 9 11 11 10 9 8 8 9 10 10 10 9 9 10 11 10 10 9 10 10 11 11 11 11 11 10 10 10 9 7 7 7 8 9 10 10 10 10 10 10 11 nan
nan 9 9 9 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 10 9 9 9 11 12 14 17 20 19 18 16 14 12 10 8 6 4 3 6 8 9 9 8 8 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 12 14 13 8 3 1 2 6 9 10 9 9 8 7 6 5 5 5 5 5 5 5 5 6 8 9 9 9 9 10 11 12 13 14 14 14 14 12 11 11 12 12 12 12 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 10 10 11 10 9 7 7 9 10 10 10 9 9 10 11 10 10 10 10 10 11 11 11 11 11 10 10 10 9 7 6 7 8 9 9 10 10 10 10 10 10 nan
nan 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 11 14 16 18 20 20 19 17 15 12 11 10 8 6 4 3 5 8 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 11 12 11 6 2 2 3 7 9 10 10 10 9 7 6 5 4 3 3 2 2 2 3 5 7 8 9 8 8 9 9 10 10 11 12 14 14 13 12 11 11 11 11 11 11 11 11 10 9 9 10 11 12 12 11 11 10 10 10 10 10 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 8 7 7 8 9 10 10 10 10 9 7 8 8 10 10 10 9 9 10 10 11 10 10 10 10 11 11 11 11 10 10 10 10 9 7 6 6 7 9 9 9 10 10 10 10 10 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 13 17 21 23 23 21 18 16 13 11 10 9 8 7 4 2 3 6 8 9 8 9 10 11 11 11 10 10 9 9 9 10 10 9 9 9 8 8 8 8 8 9 10 10 10 8 7 7 8 9 9 10 9 9 8 8 7 7 6 5 4 4 4 4 5 7 8 8 7 7 8 7 7 7 8 9 9 10 11 12 12 11 11 10 11 11 12 12 11 10 9 9 10 12 13 13 12 11 10 10 9 9 9 8 7 8 9 10 11 10 10 9 9 8 8 7 8 8 8 7 7 8 9 9 10 10 10 9 9 9 9 10 11 10 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 9 9 10 10 10 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 9 10 15 20 24 26 25 21 17 14 11 10 9 9 9 7 4 1 2 4 7 9 9 9 11 12 12 12 12 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 7 8 9 9 9 8 7 7 7 7 6 6 6 7 7 7 7 9 11 11 10 10 10 11 12 13 12 11 11 11 12 13 14 13 11 11 11 10 10 10 9 9 9 9 10 11 11 10 10 10 9 9 8 8 8 8 9 9 8 8 9 9 10 10 10 9 9 9 10 10 10 10 9 9 9 10 11 11 10 10 10 10 9 9 10 10 11 10 9 9 8 8 8 8 9 10 10 10 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 8 8 9 9 9 10 9 9 9 8 8 9 11 16 21 24 25 23 18 14 11 10 9 9 9 9 7 3 1 2 5 8 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 10 11 12 13 12 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 6 6 7 9 10 11 10 10 10 11 12 13 12 12 11 11 12 12 12 11 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 9 10 10 11 11 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 10 11 11 10 10 10 9 9 9 10 10 11 10 9 9 8 8 9 9 9 10 10 10 10 9 9 9 nan
nan 10 10 9 10 10 10 9 9 8 8 9 9 10 10 9 9 9 8 9 9 12 16 19 21 20 18 14 11 9 9 9 9 9 9 6 2 1 3 7 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 10 12 13 10 8 6 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 9 10 11 11 10 10 10 11 11 11 11 11 11 12 12 12 11 10 10 10 11 11 11 11 10 10 11 12 12 11 11 11 11 11 10 9 9 9 11 12 12 12 12 12 12 12 11 11 11 10 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 11 10 10 9 9 9 9 9 10 11 11 10 10 10 9 9 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 8 10 12 14 16 16 15 13 10 9 8 8 9 9 9 8 5 2 2 5 9 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 10 12 11 8 6 4 4 5 7 8 9 9 9 8 8 9 9 9 9 9 9 9 9 10 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 11 11 12 13 14 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 8 8 8 8 10 11 12 12 12 12 12 12 11 11 11 11 10 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 10 10 10 9 9 9 10 11 12 12 11 11 10 10 10 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 8 10 12 14 14 13 11 10 9 9 8 8 9 8 8 6 4 3 5 8 10 10 9 9 10 11 11 10 10 9 10 10 11 11 11 12 11 11 11 10 10 10 10 10 10 10 9 9 9 10 11 10 7 5 4 3 3 4 6 8 9 9 9 9 8 8 8 8 8 8 8 9 10 13 15 16 15 13 12 11 10 10 10 11 11 12 12 11 11 11 11 12 12 13 13 12 11 10 10 9 9 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 7 7 8 10 11 12 12 11 11 11 11 11 11 12 11 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 12 12 13 12 12 11 10 10 nan
nan 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 10 12 14 14 12 10 9 9 9 9 9 8 8 7 5 3 5 8 11 11 10 9 9 10 10 10 10 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 11 11 10 7 6 5 4 3 2 3 6 9 9 9 8 8 8 8 8 7 7 8 9 11 13 15 15 14 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 6 5 6 7 8 9 8 8 8 7 8 8 8 8 8 7 7 8 9 11 11 11 11 11 11 11 11 11 12 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 10 11 13 14 13 12 11 11 10 nan
nan 10 9 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 10 12 14 15 13 11 9 9 9 9 9 8 8 7 5 4 7 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 10 12 12 10 8 7 7 6 4 2 1 4 7 9 9 8 8 8 8 7 7 7 7 8 10 12 13 13 12 11 10 9 9 8 8 8 8 8 8 8 8 8 7 7 6 5 5 5 5 6 6 6 6 6 5 5 5 4 4 5 6 7 7 7 8 8 9 8 7 7 8 9 10 10 10 11 10 11 11 11 11 11 11 10 10 10 10 9 9 9 10 11 11 10 9 9 9 10 10 10 10 10 11 10 10 10 10 10 8 7 8 9 12 13 13 12 11 10 10 nan
nan 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 11 14 15 14 12 10 9 9 9 8 8 7 6 5 5 8 9 10 9 10 10 11 11 10 9 9 8 8 8 8 8 9 10 10 10 9 9 8 7 6 7 8 9 10 10 10 10 12 12 10 9 8 8 7 6 3 1 3 6 8 9 8 8 8 8 7 7 7 7 8 10 11 11 11 11 11 11 10 10 9 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 4 2 1 2 5 7 7 7 8 8 9 8 8 8 7 8 8 9 9 9 10 10 10 11 12 12 11 11 11 10 10 9 9 9 10 11 11 10 9 9 10 10 11 10 11 11 11 11 10 10 10 10 9 7 7 7 9 11 12 12 11 10 9 nan
nan 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 8 8 10 12 14 14 12 10 9 8 8 8 7 7 5 4 4 6 8 8 9 10 10 11 11 10 9 8 8 8 8 8 8 9 10 10 10 10 10 8 6 5 4 5 6 8 9 10 11 12 12 10 9 8 8 8 7 3 2 4 6 8 8 8 8 8 7 7 7 7 7 8 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 5 3 1 1 3 6 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 12 12 12 12 11 10 10 9 8 9 9 10 11 10 10 10 10 11 11 11 11 12 11 11 11 10 10 10 9 8 7 6 7 9 11 11 10 9 9 nan
nan 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 9 11 13 12 10 9 8 8 7 7 6 4 2 2 3 5 8 9 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 10 11 11 9 7 6 4 4 5 6 8 9 11 12 12 10 9 9 9 8 7 4 3 5 7 8 8 8 8 7 7 7 7 7 8 9 10 11 11 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 10 9 9 8 7 4 2 2 4 6 7 8 9 9 9 9 9 8 9 9 9 8 7 7 8 9 10 11 12 12 12 13 12 11 9 8 8 9 10 11 11 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 9 8 7 8 9 10 9 9 10 10 nan
nan 10 10 10 11 11 11 10 9 8 8 9 10 10 10 10 10 10 10 9 8 7 8 10 12 12 10 9 8 8 8 7 7 4 2 0 0 4 7 9 10 10 10 9 9 8 8 8 9 9 10 9 8 8 9 10 11 12 11 10 9 8 6 5 6 6 7 9 10 10 10 9 9 9 9 8 5 5 6 8 9 9 8 8 8 7 7 7 8 8 9 10 11 11 10 9 9 9 9 9 10 10 11 11 10 9 9 10 11 12 11 11 10 10 11 11 11 11 12 12 11 10 9 8 7 6 6 8 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 9 10 11 11 11 13 13 13 11 9 7 8 9 10 11 12 11 10 10 10 10 10 11 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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 3 6 7 7 7 7 9 13 18 20 22 22 20 18 16 14 13 7 6 22 55 88 105 114 124 110 100 93 86 81 75 67 60 55 52 51 55 57 61 67 76 82 83 83 76 71 69 70 76 87 103 123 147 166 175 175 177 178 172 175 176 179 176 175 172 158 141 125 110 99 90 82 75 69 62 51 42 36 28 21 17 12 7 4 3 5 5 4 2 0 0 0 0 0 0 1 1 1 2 3 3 4 5 5 5 6 10 13 18 24 27 28 29 32 33 27 24 24 25
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 1 1 2 5 7 7 10 12 12 11 11 12 14 15 17 17 19 19 19 19 18 19 14 6 6 29 61 83 100 112 112 100 97 92 86 82 74 63 58 56 54 57 58 61 66 74 80 82 83 79 76 74 77 87 99 118 144 164 174 171 166 170 177 192 188 182 182 178 178 183 176 162 150 144 133 122 112 103 93 84 75 66 53 40 33 27 21 12 8 7 7 5 2 1 0 0 0 0 0 0 0 1 1 2 3 4 4 4 4 5 5 9 12 14 16 17 19 20 20 18 15 16 18 20
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 2 5 7 7 9 8 8 12 17 19 19 16 16 17 17 16 15 15 15 16 16 18 20 19 13 6 15 39 64 84 100 104 97 97 95 91 88 80 66 63 62 61 61 61 62 67 74 76 88 88 87 89 94 105 115 131 158 177 185 184 176 169 172 176 182 187 194 201 211 220 219 192 169 167 176 175 164 149 136 125 136 129 115 89 63 52 41 31 21 14 8 5 3 1 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 4 5 6 8 10 9 10 13 13 14 16 16 15 14 16 19
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 11 13 12 10 10 12 18 21 21 20 19 19 18 15 14 13 13 13 14 15 18 19 17 14 16 28 47 71 91 98 99 99 97 93 93 85 73 69 67 66 66 66 67 74 78 80 85 90 99 107 110 123 135 156 183 201 205 198 187 179 177 180 186 179 176 193 227 259 241 197 184 192 204 210 205 184 180 173 176 178 164 131 95 77 60 46 34 24 15 8 3 0 1 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 5 6 6 7 7 8 11 12 13 16 17 15 14 16 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 5 10 13 15 15 17 16 14 14 15 17 20 22 21 18 17 14 12 11 12 14 15 14 13 15 17 18 19 21 29 37 61 80 92 102 105 100 94 95 89 81 75 73 72 72 72 73 77 80 83 88 97 109 119 121 133 148 168 194 211 213 206 195 180 169 168 176 175 167 172 196 223 197 171 167 178 195 210 218 216 226 240 251 247 205 159 128 105 85 68 53 39 27 16 6 1 2 1 0 0 0 0 0 0 0 1 1 1 2 3 3 3 3 4 6 6 6 9 12 14 14 15 15 14 15 20 21
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 5 10 15 18 18 18 19 19 18 16 15 16 17 18 20 18 16 14 12 11 12 14 16 15 13 13 14 17 19 23 31 29 46 64 81 98 107 100 96 94 91 86 83 81 82 83 81 79 79 82 83 87 98 109 119 126 133 147 170 195 203 197 196 189 171 158 154 159 164 160 152 155 164 154 145 142 148 163 176 189 209 244 302 373 355 238 172 144 127 110 92 74 57 43 26 13 5 4 3 1 0 0 0 0 1 1 2 2 2 3 3 3 3 3 4 7 9 11 14 17 17 16 16 15 17 21 24 27
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 18 21 22 23 25 25 22 20 18 17 17 17 19 19 17 15 13 13 11 14 16 16 14 12 12 14 18 20 24 28 37 50 69 90 103 99 97 95 92 91 96 101 101 97 91 85 79 82 88 92 101 107 115 118 121 131 154 181 189 181 176 168 157 148 144 144 147 143 133 130 130 130 134 136 129 134 153 179 211 242 283 309 242 194 170 157 149 136 116 96 77 61 40 22 11 7 4 2 1 0 0 0 0 1 2 2 3 4 4 3 3 4 5 9 12 11 18 21 20 19 19 18 20 25 32 37
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 11 15 20 25 30 33 35 34 29 24 19 19 20 21 21 20 19 17 15 14 13 15 17 17 15 12 11 12 14 18 20 23 29 41 57 75 87 93 100 102 105 108 114 121 119 109 101 96 90 88 90 92 98 105 113 112 110 115 131 153 163 163 159 153 148 144 138 131 132 126 118 112 110 112 114 125 125 134 162 201 239 258 245 229 202 189 179 180 179 167 143 116 96 77 54 34 19 10 6 3 3 1 0 0 0 1 2 2 3 4 4 4 4 5 9 12 14 16 19 20 20 22 27 30 33 40 47 45
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 12 17 22 26 31 35 38 38 36 31 25 21 21 22 23 23 22 21 19 18 16 14 15 18 19 16 12 11 10 13 18 21 20 24 35 45 55 67 86 103 111 114 118 129 138 137 123 113 108 102 95 92 89 95 101 110 110 104 101 110 132 139 146 148 146 141 136 130 122 121 119 113 107 104 104 101 103 110 128 154 186 225 268 263 228 218 204 195 194 194 190 171 139 117 93 70 48 30 19 12 8 5 3 2 1 2 2 2 3 4 5 6 6 6 6 12 14 15 16 17 16 17 24 34 43 56 73 72 53
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 12 18 24 30 34 36 36 36 35 33 30 25 23 23 23 24 25 24 23 21 20 19 17 16 17 18 15 11 10 12 15 19 21 23 26 29 34 41 51 69 92 109 116 124 142 149 147 135 126 119 111 105 99 91 96 102 107 110 106 94 95 112 122 131 139 141 135 129 121 117 117 117 115 110 106 103 94 89 90 96 116 144 175 235 295 286 273 255 235 220 213 222 204 173 144 116 89 65 43 28 19 13 9 6 4 5 5 4 3 4 6 8 9 9 11 9 14 18 19 17 16 14 17 25 38 53 85 121 100 59
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 2 0 0 0 0 0 0 1 4 6 6 8 12 19 26 33 40 41 39 36 34 31 29 28 26 24 25 25 26 26 25 24 22 20 19 16 15 15 13 10 8 8 11 14 18 20 21 23 26 27 33 40 53 75 96 109 122 149 147 148 148 141 130 118 109 110 103 102 103 105 110 115 110 102 108 117 125 133 141 134 132 126 119 115 115 117 115 111 105 97 86 77 75 83 102 127 184 271 311 320 317 295 261 250 262 252 225 188 148 111 83 59 41 26 18 13 10 8 8 8 9 8 9 12 13 12 11 13 14 18 23 26 20 16 15 16 23 35 59 111 163 109 59
8 4 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 1 1 1 5 5 5 6 6 6 6 6 9 5 5 4 4 6 8 10 12 16 16 14 18 28 36 41 43 42 40 37 33 30 27 26 25 25 26 26 26 26 25 24 22 20 18 15 14 12 9 6 5 7 11 13 16 19 20 21 25 24 27 32 42 59 81 100 119 146 155 160 161 158 146 128 117 116 112 108 104 104 111 118 118 116 117 122 127 134 139 132 131 129 124 119 117 118 118 113 107 104 96 84 73 64 65 83 126 185 247 300 334 340 303 303 311 309 291 248 195 140 103 76 53 33 22 17 16 16 13 13 17 19 20 23 21 19 16 16 19 22 26 23 19 19 17 15 21 41 86 172 190 112 54
21 13 2 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 5 3 2 1 0 0 1 3 5 6 8 9 10 12 14 14 14 13 13 15 13 13 14 15 18 22 24 25 28 25 20 23 34 44 44 41 39 38 36 32 28 26 25 24 25 26 25 24 24 22 22 22 21 17 15 13 12 9 5 5 7 10 12 13 14 15 18 26 27 27 28 32 44 70 96 112 135 152 162 168 172 163 144 132 126 121 117 115 116 128 133 135 133 130 129 131 139 139 136 136 135 132 128 125 126 124 115 106 102 101 96 86 73 60 64 84 117 164 226 299 347 346 359 380 394 376 319 254 188 137 101 75 51 33 25 23 26 27 32 32 29 29 32 26 23 22 21 22 25 27 25 25 24 21 20 26 49 110 207 217 133 60
28 22 1 4 1 0 0 0 0 0 0 2 4 2 0 1 2 1 0 0 1 3 7 12 16 20 16 13 11 8 7 8 11 14 16 14 14 17 20 21 21 20 19 19 19 21 23 26 26 26 31 37 42 43 35 25 26 42 54 52 46 42 40 39 36 30 26 24 24 25 23 21 20 21 19 19 18 17 15 13 12 12 9 8 8 8 9 10 10 9 11 18 27 31 31 28 28 39 61 79 94 116 140 160 172 177 173 163 153 146 141 139 139 143 155 160 161 159 150 143 142 145 145 145 148 149 147 146 144 140 133 120 111 109 109 105 101 89 76 72 76 87 104 134 208 280 334 381 428 465 440 388 326 262 193 133 93 67 49 38 34 35 37 38 37 37 38 38 35 32 29 25 21 27 29 26 23 24 26 28 34 68 160 292 287 160 64
22 22 1 0 0 0 0 0 0 0 1 3 7 7 7 7 6 5 4 2 3 6 10 16 26 35 37 31 28 25 22 20 22 22 22 24 26 28 30 31 31 30 30 25 24 25 29 34 35 32 37 42 49 51 46 39 40 58 64 59 52 47 45 43 38 33 27 27 26 23 20 17 15 16 15 14 13 11 9 8 9 10 9 10 11 9 7 6 6 5 11 19 27 33 34 30 27 32 50 75 98 118 135 154 167 170 177 182 185 178 170 171 172 179 187 192 185 169 158 154 150 147 148 154 163 170 172 167 160 146 134 124 117 117 118 114 113 104 94 86 79 74 68 78 118 173 241 318 387 433 451 448 409 339 255 185 135 99 72 55 48 47 49 52 55 49 46 46 47 45 41 36 31 37 34 27 26 34 36 42 50 79 212 355 342 179 64
11 13 2 0 0 0 0 0 0 0 0 0 4 7 10 12 13 11 11 10 9 9 11 17 27 44 59 54 52 47 40 35 33 32 31 30 31 36 41 46 50 52 45 34 28 30 36 42 46 47 50 51 52 54 56 57 57 64 61 57 53 49 46 44 38 33 31 31 28 24 20 18 16 14 12 9 7 4 3 5 7 8 9 10 11 11 8 5 4 3 11 19 24 28 30 29 31 37 48 65 90 114 128 145 157 166 181 191 196 201 203 208 204 203 204 210 213 203 182 164 156 153 155 162 169 175 179 173 164 147 130 120 120 126 129 125 124 118 110 102 91 80 68 63 72 92 133 205 287 366 437 490 490 442 368 285 207 147 105 81 70 66 65 64 59 51 49 52 57 57 50 49 48 42 31 24 28 40 49 57 63 105 223 347 321 165 80
5 4 1 0 0 0 0 0 0 0 0 1 5 9 13 17 18 16 18 16 13 11 11 14 23 42 77 86 87 82 72 61 54 53 50 46 44 47 54 62 73 77 66 46 38 46 59 66 62 50 45 43 42 45 49 50 50 49 50 50 49 48 46 45 43 41 41 38 33 28 24 23 20 16 9 3 0 1 2 3 5 7 9 10 11 12 9 5 4 6 11 15 17 18 22 25 30 36 42 53 74 101 121 136 147 155 168 181 189 197 212 215 209 200 194 195 199 191 174 165 159 158 162 163 162 163 159 164 161 148 132 119 117 123 126 131 133 131 123 114 108 101 90 76 68 66 77 114 171 250 362 463 523 541 513 416 295 216 166 131 106 99 92 75 65 59 55 57 70 73 70 63 56 46 36 33 35 40 52 62 77 135 254 340 307 182 96
1 1 1 3 2 2 4 6 6 2 1 4 8 11 14 19 22 19 21 21 18 14 11 12 19 35 77 108 123 125 118 106 93 85 80 74 66 63 68 77 89 93 84 78 86 109 127 114 69 38 25 17 19 29 35 35 35 40 47 48 46 44 45 46 44 45 45 40 34 30 28 26 21 15 6 1 0 1 2 4 6 8 10 11 11 11 7 3 3 6 8 9 8 10 13 16 20 23 28 40 60 86 110 121 127 133 144 157 164 161 171 164 162 160 154 151 148 146 148 145 145 150 156 160 160 167 165 161 157 150 142 134 122 123 129 137 142 140 131 122 118 115 107 95 81 69 62 68 81 118 210 331 454 585 629 544 426 330 251 191 154 136 118 96 77 69 69 68 82 85 82 73 64 54 47 46 47 51 60 70 91 146 255 298 279 197 112
3 3 4 6 8 10 13 15 15 15 13 13 14 15 19 24 25 24 25 27 24 18 13 14 20 35 71 109 137 152 153 141 131 122 122 111 96 89 96 110 138 157 165 162 164 174 171 124 60 28 16 9 10 18 26 34 39 45 49 49 45 44 43 40 37 34 35 34 30 26 25 23 18 12 5 1 1 3 4 5 8 10 11 12 13 11 5 1 0 2 3 3 2 2 4 6 7 6 8 15 26 44 71 85 88 88 88 93 98 82 89 92 101 113 120 110 100 103 104 106 114 127 139 148 151 158 159 157 157 155 151 142 134 134 140 146 147 143 135 128 124 121 115 104 90 74 61 56 55 60 91 168 286 491 595 615 563 458 349 289 250 204 162 126 101 86 87 89 94 97 94 86 77 67 60 58 65 77 85 88 97 154 257 280 259 199 117
21 17 14 18 17 15 17 19 19 18 20 21 21 23 26 26 28 29 31 32 28 21 16 17 23 37 65 97 126 148 160 158 156 150 153 151 148 153 170 188 253 240 218 201 191 183 168 121 52 21 9 5 7 15 31 44 45 45 45 42 39 36 32 30 29 25 25 25 23 20 18 17 15 11 7 4 5 6 6 6 9 12 14 16 17 12 2 0 0 0 0 0 0 0 0 1 1 0 0 0 3 8 23 35 40 41 37 32 32 27 36 46 59 75 75 78 76 76 79 84 92 104 118 128 135 139 145 153 161 161 159 154 145 142 143 142 142 141 140 138 134 128 122 111 98 83 67 56 49 47 54 82 136 296 448 567 632 624 521 438 375 313 245 187 152 117 104 104 104 102 99 97 88 81 76 73 80 94 105 98 89 138 196 254 275 215 125
59 50 38 34 26 18 19 23 26 30 31 30 28 29 30 30 33 37 40 39 33 25 20 18 24 36 56 82 115 154 195 214 187 179 191 215 242 259 267 261 342 308 237 182 151 116 79 33 25 24 20 15 13 23 40 49 46 41 37 33 29 27 26 22 19 17 15 16 17 15 13 14 14 11 8 5 3 3 6 8 12 17 21 23 20 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 11 7 1 3 4 7 13 25 47 41 47 49 52 58 64 70 80 90 104 116 124 127 135 144 149 152 152 151 147 137 131 133 138 144 147 145 141 133 123 111 96 81 67 54 44 45 62 83 169 298 440 584 693 595 526 488 458 410 327 233 170 131 118 118 114 109 103 98 93 89 88 91 103 119 100 96 135 209 292 322 239 155
94 85 68 58 50 41 34 32 29 28 31 31 32 34 37 38 38 42 44 43 39 32 25 22 26 39 61 93 130 165 194 211 231 256 277 307 322 289 262 241 307 312 213 105 74 57 49 56 59 51 41 32 28 29 41 45 40 32 25 19 12 8 2 3 5 6 6 8 12 12 11 12 12 12 10 9 8 6 6 10 16 23 29 27 16 5 1 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 4 19 17 17 19 23 28 33 39 47 56 67 82 95 102 109 116 122 127 130 131 131 127 128 130 135 142 149 153 154 148 139 127 114 98 82 64 44 40 50 70 119 205 321 451 560 578 575 556 507 472 367 291 230 173 141 133 125 120 117 111 105 102 101 98 101 111 103 106 140 210 301 334 274 179
87 90 80 65 53 45 36 37 31 30 27 28 32 36 38 40 44 43 44 47 49 47 42 40 37 51 68 87 126 200 256 290 343 368 374 373 340 243 191 175 194 200 141 65 46 36 49 60 55 50 47 38 30 30 39 36 25 15 9 7 3 1 1 1 1 0 1 1 7 10 10 10 11 12 12 10 8 7 8 12 17 24 32 25 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 1 2 6 9 12 17 22 30 42 53 65 74 82 89 95 98 100 103 105 110 114 119 127 137 150 161 161 155 147 135 118 98 78 55 43 42 53 84 153 274 408 507 563 588 581 541 527 487 403 301 215 167 149 148 162 156 137 123 118 110 99 100 104 110 122 152 248 322 343 301 207
86 89 79 61 53 52 37 34 33 33 32 33 35 37 35 39 51 57 61 65 68 68 65 69 67 76 85 112 178 264 331 385 414 411 395 372 323 238 181 164 139 110 81 55 32 18 31 41 46 54 58 46 36 36 40 28 13 9 13 12 5 2 2 1 1 1 0 0 4 7 8 8 9 11 11 10 8 9 10 13 18 25 28 18 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 1 1 3 6 10 17 22 31 41 50 57 64 69 72 75 79 86 91 95 100 114 135 150 157 160 160 156 137 113 91 67 48 42 47 65 127 243 371 493 573 595 595 606 642 596 490 366 262 213 205 196 225 222 193 174 149 128 116 111 109 121 145 162 277 368 373 305 219
110 106 87 65 66 75 49 38 42 46 47 45 46 50 48 56 75 92 103 110 118 126 137 138 142 141 138 145 175 226 307 398 413 392 371 354 320 251 205 188 150 99 59 40 22 11 19 29 42 51 53 51 44 43 39 25 12 11 12 9 5 3 2 2 1 2 2 2 4 6 7 7 6 6 9 10 10 10 12 16 23 28 23 12 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 1 4 7 7 14 23 31 36 41 45 51 55 59 66 73 76 74 86 102 117 131 143 150 156 143 121 94 66 50 52 59 74 135 256 407 533 597 599 619 659 718 697 589 459 340 315 324 324 300 281 275 247 200 176 164 142 126 141 167 202 314 441 464 350 234
135 142 119 91 74 67 55 50 57 70 75 75 75 81 81 90 111 139 166 188 214 255 277 278 288 287 266 243 249 256 323 349 373 396 402 378 320 241 210 191 158 112 70 46 27 13 18 27 34 38 38 40 37 39 33 24 17 12 8 5 4 5 4 3 5 8 9 8 7 5 5 5 6 6 6 9 11 14 18 24 29 28 17 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 2 3 2 6 11 15 17 17 19 26 31 36 43 50 55 55 60 68 79 97 119 128 136 131 116 91 67 60 73 92 110 154 280 454 563 588 568 622 685 744 775 719 590 486 438 401 359 344 334 356 307 247 199 169 158 153 168 180 214 347 503 524 377 269
208 223 195 141 87 57 57 75 93 112 125 131 136 143 150 160 172 201 241 278 312 350 381 410 424 425 443 490 512 407 414 434 462 471 436 355 232 159 134 128 119 95 64 43 27 16 14 14 13 14 18 24 27 33 28 18 12 7 4 7 7 7 7 7 11 11 11 10 7 4 3 3 4 3 2 6 12 17 23 29 26 19 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 2 2 3 3 4 5 5 5 6 8 10 13 18 25 30 36 43 51 61 76 99 114 125 125 110 87 71 74 108 156 187 210 290 467 587 594 561 610 716 812 834 796 700 611 532 478 467 475 412 408 364 295 224 178 176 184 186 195 213 285 446 437 323 276
298 307 277 223 179 158 147 157 173 185 190 196 209 222 243 259 268 294 330 358 378 412 455 456 437 443 475 487 464 484 499 497 475 430 354 244 126 76 52 50 54 50 37 26 17 10 6 4 3 3 5 11 18 19 14 8 4 2 1 4 5 4 2 1 3 4 5 7 4 1 1 1 1 0 0 5 12 19 24 22 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 1 1 1 2 2 2 2 3 4 4 4 4 4 8 11 14 20 28 40 56 78 99 119 125 111 89 81 99 154 224 265 274 297 410 492 505 488 533 626 698 793 829 781 698 622 576 550 520 505 490 447 368 273 204 194 192 190 202 239 318 425 430 378 336
321 300 268 244 233 232 259 256 257 254 249 251 261 283 327 357 386 409 412 399 397 426 461 459 431 427 466 492 539 551 511 411 313 255 198 118 64 39 26 20 19 21 19 13 7 4 2 1 1 1 1 5 9 10 8 6 3 3 2 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 4 8 11 11 8 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 1 1 2 3 4 5 5 5 4 4 5 5 5 6 13 27 48 73 99 116 110 95 94 122 189 259 289 284 311 427 466 460 459 479 534 667 785 823 825 822 796 718 652 612 602 602 568 460 325 233 205 205 211 220 258 365 469 511 501 445
233 211 195 198 211 213 241 276 293 300 304 311 324 346 389 418 442 438 404 371 365 395 451 462 454 469 516 570 584 530 466 355 239 165 94 55 38 29 22 15 9 9 8 7 6 3 1 2 3 3 2 3 5 7 7 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 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 1 2 3 6 9 8 8 7 7 6 4 3 4 4 9 21 41 71 95 98 90 93 129 201 274 306 315 400 480 527 531 505 492 472 564 665 742 837 952 866 812 768 720 701 715 672 534 383 268 226 226 221 242 307 382 467 538 549 493
163 160 163 177 204 226 258 285 310 333 352 373 397 406 410 403 383 354 323 300 298 334 398 439 466 493 509 511 503 448 367 261 152 77 39 33 31 27 21 12 6 3 2 2 2 1 1 2 4 3 2 2 4 5 4 5 7 6 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 1 2 4 6 7 8 9 10 8 6 6 4 3 4 7 20 46 70 81 76 81 119 194 284 326 334 349 391 436 460 466 508 510 548 610 705 881 1073 1028 951 873 823 815 841 740 592 460 344 264 245 255 305 307 329 408 494 521 468
115 115 103 106 122 145 178 212 250 283 314 351 386 372 343 303 263 233 217 202 193 215 265 331 389 415 419 440 444 343 219 121 59 29 23 25 27 26 20 12 4 1 0 0 1 2 3 3 3 2 2 3 4 4 4 5 5 5 4 3 2 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 7 8 8 7 7 6 5 4 4 11 27 50 63 64 69 93 153 271 327 338 324 307 305 339 398 471 522 566 628 770 998 1091 1013 892 851 928 1007 971 828 662 532 443 350 299 315 339 318 305 359 423 466 419
3 0 4 13 25 34 46 74 115 154 183 209 227 218 193 159 124 98 85 89 79 84 103 132 170 220 267 292 252 160 77 32 14 8 9 13 19 22 20 12 2 0 1 1 2 4 5 3 1 1 2 3 3 4 7 8 7 9 11 12 10 6 5 5 4 2 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 0 0 0 0 0 0 0 0 1 1 2 3 5 5 5 5 6 6 4 2 5 16 34 49 57 60 64 122 250 344 375 348 296 244 257 322 413 489 537 612 835 1030 1055 922 771 787 1022 1186 1126 948 758 614 529 456 387 360 354 351 348 370 397 415 379
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