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 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 9 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 9 8 9 11 11 11 11 10 10 9 9 9 10 10 10 10 9 9 10 10 10 11 11 11 11 10 11 12 12 12 10 10 10 10 10 10 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 12 12 12 12 12 11 10 10 11 10 10 9 9 8 6 6 7 9 11 14 16 16 16 16 16 15 14 13 13 13 13 12 12 13 14 13 11 9 8 7 6 6 8 9 11 13 18 24 nan
nan 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 9 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 10 11 11 10 10 9 8 8 8 9 10 10 9 9 8 9 9 9 10 11 11 11 11 12 13 13 12 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 10 9 9 9 8 8 8 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 11 10 9 7 6 7 9 11 13 13 13 14 15 16 16 15 13 13 13 14 14 13 13 13 12 10 9 8 7 7 7 8 9 10 11 14 20 nan
nan 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 8 7 7 7 8 9 9 9 9 10 10 11 12 12 11 10 9 9 9 9 9 8 8 9 10 11 11 9 8 7 8 8 9 10 9 9 8 8 8 8 9 10 10 10 10 11 11 12 12 11 10 10 10 9 10 10 11 11 11 11 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 7 7 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 9 8 8 9 11 13 13 12 12 13 15 16 16 15 15 14 14 15 15 14 13 12 10 10 10 10 9 9 9 9 9 10 11 13 17 nan
nan 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 8 8 8 9 8 7 7 7 9 10 9 9 9 10 12 13 13 13 12 11 10 10 10 9 9 9 8 9 10 11 11 9 7 7 7 9 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 11 12 11 11 10 9 8 9 10 10 11 11 11 11 11 11 12 12 12 10 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 10 11 12 12 12 11 10 9 10 10 11 12 13 13 13 12 13 14 14 15 14 14 15 16 17 17 16 15 12 10 11 12 12 11 10 11 11 11 12 12 12 14 nan
nan 8 9 9 9 10 10 10 10 9 8 8 9 9 9 9 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 7 7 8 9 10 9 9 9 10 12 13 14 13 12 11 11 10 10 9 9 9 9 9 9 10 10 9 8 8 8 10 11 11 10 9 9 10 10 9 10 10 10 9 9 9 10 11 12 12 11 10 8 7 8 9 9 10 11 11 10 11 11 11 12 12 11 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 9 9 9 10 11 12 12 12 11 10 9 10 10 10 11 12 13 13 13 13 13 12 12 12 13 15 18 19 20 19 16 13 12 13 13 13 12 12 12 13 13 13 12 12 14 nan
nan 8 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 9 10 10 10 10 10 10 11 12 13 12 11 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 9 10 10 10 10 10 10 10 9 9 8 9 10 11 12 12 11 10 8 8 7 8 9 10 11 11 10 10 10 10 11 12 12 12 12 12 11 11 10 9 9 9 9 10 9 9 8 8 8 8 8 9 9 10 11 11 11 10 10 9 9 9 10 11 11 12 12 12 12 11 10 9 9 11 14 17 20 22 20 17 14 14 14 12 11 11 11 12 13 14 14 14 14 15 nan
nan 8 9 9 9 8 8 9 10 10 9 9 9 8 8 8 8 9 9 8 8 8 7 8 9 9 9 8 9 9 9 9 9 9 9 9 10 10 9 10 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 11 11 11 10 10 10 9 8 8 8 10 11 11 12 12 11 10 9 8 8 8 9 10 11 11 10 10 9 9 10 11 12 13 14 13 12 12 11 10 10 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 11 11 9 8 7 9 12 16 20 22 22 19 17 15 11 9 8 8 8 9 12 13 14 15 16 16 nan
nan 9 9 9 8 8 9 9 9 10 10 9 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 11 11 11 11 11 10 9 8 8 9 10 11 11 12 12 12 10 9 9 9 8 8 10 11 11 10 9 9 9 10 11 12 13 14 13 13 12 12 11 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 10 11 11 11 10 10 10 10 11 11 12 11 11 10 8 7 8 10 14 19 22 21 20 18 14 9 8 8 7 7 8 10 11 13 14 16 17 nan
nan 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 8 8 9 10 11 12 11 12 12 12 11 10 9 8 8 8 9 10 10 9 9 9 10 11 11 12 12 13 13 13 13 12 10 10 9 9 9 9 10 10 10 10 9 8 8 7 7 7 8 9 10 11 11 11 11 9 9 9 10 10 11 12 11 11 9 8 8 9 13 17 19 18 16 13 9 8 10 10 10 9 9 9 10 11 13 15 17 nan
nan 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 10 9 9 9 8 9 9 9 9 10 10 10 10 9 9 8 8 9 9 9 10 10 10 9 10 11 12 12 10 10 10 11 11 11 11 11 12 13 13 12 10 9 9 8 7 8 9 9 9 9 11 11 11 11 11 11 12 12 13 13 13 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 11 11 10 9 8 8 9 11 12 11 11 11 9 8 9 11 14 15 14 12 8 5 7 9 11 11 11 10 9 8 9 11 14 16 nan
nan 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 12 11 11 10 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 10 12 12 11 11 11 11 11 11 11 11 12 13 13 11 9 9 8 8 7 8 8 9 9 11 12 12 11 11 11 10 11 12 13 13 13 12 10 9 9 9 9 9 10 10 9 8 8 8 8 8 8 9 9 9 9 10 11 12 12 12 10 8 8 9 9 11 12 11 9 9 10 11 12 12 11 10 7 6 5 7 8 10 10 10 9 9 9 11 13 14 nan
nan 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 10 11 11 11 10 9 9 9 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 12 13 14 13 10 9 8 8 7 7 8 8 9 9 11 12 12 11 11 11 10 10 11 12 13 13 12 11 10 10 11 12 12 12 12 11 10 9 8 8 9 9 9 9 8 8 9 11 12 13 14 12 9 8 7 7 9 11 11 11 11 11 11 11 12 10 9 8 7 6 6 7 7 8 9 9 9 10 11 11 12 nan
nan 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 7 8 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 10 10 10 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 11 11 12 13 13 14 12 10 8 8 8 7 8 8 8 9 9 11 12 12 12 12 10 9 9 10 11 12 11 11 10 10 11 13 14 15 14 13 12 11 10 10 10 10 9 9 9 8 8 9 10 11 13 14 13 11 10 8 7 8 10 10 10 11 11 11 12 11 11 10 9 8 7 7 7 7 8 8 9 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 8 8 9 8 8 8 8 9 9 9 9 9 8 7 8 9 9 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 11 11 10 10 10 10 9 9 8 9 11 11 10 9 9 8 8 9 9 10 10 11 11 11 12 13 13 11 9 8 7 7 8 8 8 9 9 9 11 11 12 12 11 10 10 9 9 10 10 10 10 9 10 12 13 15 15 14 12 12 12 12 12 11 10 10 9 9 9 9 9 9 10 12 13 13 13 11 9 8 8 8 8 9 10 10 11 11 11 11 10 9 9 8 8 8 8 8 9 9 9 10 10 10 9 nan
nan 9 10 10 9 9 9 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 11 11 10 10 10 10 10 9 9 10 11 10 10 9 9 8 8 8 8 9 10 11 11 11 11 11 12 11 9 8 7 7 7 8 9 10 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 10 12 13 14 14 13 12 12 13 13 12 11 11 10 10 10 10 10 9 9 10 11 12 12 12 12 10 9 8 8 7 8 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 nan
nan 10 10 10 9 9 9 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 9 9 8 8 8 8 8 9 9 8 8 8 8 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 8 7 7 8 9 10 10 9 9 9 9 10 10 10 11 11 11 10 10 10 11 11 10 10 10 10 10 9 8 8 9 9 10 11 11 11 10 10 11 10 8 7 6 6 7 8 10 11 11 10 10 11 11 10 10 10 10 10 10 9 9 8 9 10 11 12 13 13 13 12 12 12 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 7 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 9 9 9 10 10 nan
nan 10 10 9 9 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 9 8 8 8 6 5 5 7 9 12 12 10 10 9 10 10 10 11 11 11 11 10 10 10 11 11 10 10 10 10 11 10 9 9 9 9 10 11 11 10 9 10 9 8 6 5 5 6 8 11 13 14 13 12 11 10 11 11 11 11 10 9 9 9 8 9 10 12 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 10 11 10 10 9 9 8 8 8 9 8 8 9 9 nan
nan 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 10 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 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 7 6 5 4 3 4 6 11 13 13 12 11 11 10 10 11 11 11 11 10 9 8 9 11 11 11 10 10 10 11 11 10 9 9 9 9 9 9 9 9 8 6 4 4 5 6 8 11 15 18 19 18 16 14 13 13 14 14 13 11 10 9 9 9 9 11 13 13 13 13 12 12 11 12 12 12 12 13 12 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 10 11 10 9 9 9 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 nan
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nan 8 9 9 10 11 11 12 11 11 10 9 9 9 10 10 11 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 9 9 10 9 9 9 9 9 9 10 10 10 9 9 8 6 3 -0 -3 -3 -1 4 8 11 13 15 17 15 13 12 12 11 11 11 10 10 9 10 11 11 11 10 9 9 10 10 10 9 9 9 9 8 7 7 7 5 3 3 4 6 8 10 13 18 23 26 27 25 22 19 18 18 18 18 17 16 15 14 14 14 14 13 12 11 10 11 11 11 11 12 11 12 12 13 13 13 13 13 13 12 12 11 11 11 11 11 10 9 10 10 11 11 11 10 10 9 10 11 11 11 11 10 10 9 9 9 10 10 10 9 8 8 7 6 7 nan
nan 8 8 9 10 10 11 11 11 10 10 9 9 9 10 10 10 9 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 9 9 9 9 9 9 9 8 8 8 6 3 -2 -4 -3 -0 3 5 7 10 13 15 16 16 15 13 12 11 11 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 5 4 4 5 6 8 11 15 19 22 23 21 17 15 16 16 16 15 14 14 14 14 16 16 15 15 14 13 12 11 11 12 12 11 11 11 12 12 13 13 13 13 13 13 12 12 11 11 11 10 9 9 10 11 11 11 11 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 8 7 7 7 6 7 nan
nan 8 8 9 10 10 11 10 10 10 10 9 9 9 9 9 9 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 9 10 11 10 9 9 9 9 9 9 9 8 7 7 8 6 3 -2 -4 -2 1 3 4 5 6 9 12 16 18 17 15 13 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 8 6 5 5 6 7 9 10 12 13 14 12 10 11 13 14 14 12 11 10 10 11 12 14 15 16 17 16 15 13 12 12 13 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 11 10 9 9 10 11 11 11 11 10 10 11 12 11 10 9 8 8 8 9 9 9 8 8 8 8 7 7 6 6 7 nan
nan 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 8 7 8 8 7 3 -1 -1 1 3 4 5 5 5 6 9 14 18 19 17 13 11 11 12 12 12 11 11 11 10 10 9 9 10 10 10 9 9 9 10 10 11 12 12 12 10 9 8 7 7 8 9 8 7 7 6 5 5 7 10 11 11 9 8 7 7 8 8 10 12 15 17 17 16 15 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 11 10 10 10 10 11 11 10 10 10 11 12 11 9 8 8 8 9 9 9 9 8 9 9 8 8 7 6 6 7 nan
nan 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 8 8 8 7 6 2 0 1 3 5 6 6 6 5 5 7 11 16 19 18 14 12 11 11 12 12 12 11 11 10 9 9 9 9 9 9 8 8 9 10 11 11 11 11 11 10 10 10 8 6 7 11 11 10 7 4 2 3 5 7 9 8 7 6 6 6 6 7 7 9 11 13 14 14 15 15 16 17 17 17 16 15 15 14 14 13 13 13 13 13 13 14 13 13 13 11 11 11 10 10 11 10 10 10 11 12 11 9 8 8 9 10 10 10 9 10 10 9 9 8 7 7 7 8 nan
nan 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 9 9 8 8 8 8 8 8 8 9 9 10 9 9 9 9 8 8 8 7 7 7 7 4 2 1 2 4 6 7 7 7 6 6 6 10 15 19 20 16 13 11 11 12 13 13 12 10 9 8 8 8 9 9 8 8 8 9 10 10 11 10 10 9 10 10 8 5 4 7 12 14 15 13 8 4 3 3 3 5 5 5 5 5 5 6 6 6 7 7 8 10 11 12 14 17 19 20 20 18 17 16 15 14 13 13 13 13 13 14 14 14 14 14 13 12 12 11 11 11 11 10 10 11 11 10 10 9 9 10 10 10 10 10 10 10 9 7 7 7 7 8 9 nan
nan 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 6 6 7 8 7 4 2 2 4 5 7 7 7 7 7 7 7 9 14 19 21 19 14 11 11 13 14 13 12 10 9 8 8 8 9 9 8 9 9 10 10 10 10 10 9 9 10 9 7 4 3 7 11 14 16 15 12 8 5 3 1 1 3 4 5 5 5 5 6 6 5 5 5 6 8 9 11 14 17 20 21 21 20 18 16 15 14 13 13 13 13 14 14 14 14 15 15 15 14 13 12 12 12 12 11 12 11 11 11 10 10 9 9 9 9 9 9 8 7 5 5 6 7 8 9 nan
nan 8 9 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 8 6 4 4 5 6 7 8 8 8 8 7 7 9 12 17 21 20 14 11 11 14 15 14 12 10 9 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 10 9 8 6 7 8 10 12 14 14 13 11 9 6 3 2 2 3 5 5 5 5 5 5 5 3 3 4 5 7 8 10 14 16 19 20 21 21 19 17 15 14 14 14 14 14 14 14 14 16 17 17 15 13 13 13 14 14 14 14 13 12 11 10 9 8 8 9 10 9 8 6 5 5 5 6 7 8 9 nan
nan 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 10 10 10 9 8 8 8 9 9 9 8 7 7 7 7 8 8 8 9 8 7 4 4 4 6 7 8 8 8 8 7 7 8 10 16 20 19 15 12 13 15 15 14 12 10 9 9 10 10 9 10 10 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 12 12 12 11 9 7 6 5 5 6 6 6 5 5 5 5 3 2 2 3 5 6 8 10 12 14 16 20 22 22 19 17 15 14 15 15 14 14 15 16 18 17 16 14 12 12 13 15 17 17 15 14 12 10 7 6 7 9 12 12 10 8 7 5 5 5 7 9 10 11 nan
nan 8 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 9 9 9 9 10 10 9 8 8 8 9 10 11 10 9 9 9 10 11 11 11 10 10 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 6 3 2 3 5 6 8 8 8 8 8 7 8 10 16 21 20 16 14 14 16 16 14 12 11 10 10 11 10 10 11 11 11 11 10 10 10 10 10 9 9 10 10 11 11 11 10 9 9 10 12 13 12 11 10 9 9 8 7 7 8 8 7 6 6 5 4 4 3 3 4 6 7 8 9 10 13 16 20 21 19 17 15 14 14 15 15 15 16 17 17 17 15 12 11 11 13 16 19 20 18 15 12 8 6 6 9 12 14 13 10 8 6 5 5 7 9 12 12 12 nan
nan 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 9 8 8 9 10 11 11 10 9 8 9 10 11 11 11 11 11 10 10 10 10 9 8 8 8 8 8 8 7 7 7 6 4 2 2 3 5 7 7 8 8 8 8 8 8 11 18 22 20 18 15 14 15 15 15 14 13 12 12 11 11 11 12 11 11 10 10 11 11 11 10 10 10 10 10 11 11 11 10 8 8 10 13 15 14 13 11 10 9 9 8 8 8 8 8 7 6 6 6 6 6 5 5 6 7 8 8 9 11 14 16 17 17 15 14 14 14 15 15 16 16 17 17 16 15 13 12 12 13 18 21 22 20 17 13 10 9 10 12 14 14 12 9 7 5 6 7 10 12 13 12 11 nan
nan 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 9 9 9 10 11 11 11 10 9 8 8 9 10 11 11 11 11 10 10 10 10 10 9 9 8 8 7 7 6 6 6 5 4 3 4 5 6 7 7 8 8 8 8 8 9 14 20 23 21 17 13 13 14 15 15 15 14 13 13 12 12 12 12 11 10 9 9 10 10 11 11 11 10 10 10 10 11 11 9 6 5 8 14 17 18 15 13 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 12 14 14 14 14 14 15 15 16 16 17 17 18 18 17 17 16 16 15 17 19 21 21 21 19 15 13 13 14 14 14 12 11 9 8 7 8 9 11 11 11 10 9 nan
nan 8 9 9 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 9 8 8 9 9 10 10 11 11 10 10 10 10 10 10 9 8 8 7 7 6 6 6 5 5 5 5 6 7 7 7 7 7 8 8 9 11 17 23 23 20 14 10 11 13 13 14 14 14 14 13 13 12 12 11 10 9 9 8 8 9 10 12 11 11 10 10 10 10 10 7 3 1 6 13 19 21 19 16 13 11 9 8 8 7 6 7 7 7 7 8 8 8 8 8 8 7 7 8 9 12 13 14 13 13 13 14 15 16 16 17 17 18 19 20 21 21 21 21 20 20 20 20 20 19 18 16 15 15 15 15 14 13 12 11 10 10 10 10 9 9 8 8 7 nan
nan 8 9 9 9 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 9 9 8 8 9 10 10 11 11 10 11 11 10 10 10 10 9 9 8 8 8 8 7 6 5 5 6 7 7 7 7 7 7 7 8 10 14 20 24 22 17 11 9 11 12 13 13 13 13 13 13 12 12 12 11 10 9 8 7 7 7 9 10 11 10 10 10 10 10 9 6 -1 -2 3 11 18 22 22 19 16 13 11 9 8 7 7 7 8 8 8 8 8 8 8 8 7 5 4 5 8 12 14 14 14 14 14 14 16 17 17 17 17 18 20 22 24 26 27 27 26 26 25 23 21 19 17 16 15 15 15 15 15 15 14 13 12 11 10 9 8 8 7 7 7 nan
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nan 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 9 9 10 10 10 9 9 10 11 11 11 11 11 11 11 10 9 8 8 9 8 7 7 6 7 7 7 7 7 7 7 7 8 12 17 21 20 15 11 10 10 11 11 11 11 12 11 11 10 11 11 11 11 10 8 7 6 6 7 8 9 10 10 10 10 11 11 9 2 -3 -2 2 7 13 19 22 24 23 19 13 10 9 8 8 8 8 8 9 9 9 9 9 8 7 4 2 0 1 4 6 8 9 9 9 11 12 14 14 13 12 12 13 13 14 16 19 21 23 25 28 30 30 28 25 22 19 17 16 15 14 14 14 13 12 11 10 8 8 7 7 6 6 nan
nan 9 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 11 12 11 11 11 11 11 10 9 8 9 9 8 7 6 5 5 7 7 8 7 7 6 7 8 11 17 20 17 14 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 7 6 6 6 7 9 11 11 10 10 10 11 11 8 1 -2 -1 3 8 13 17 21 24 24 20 15 12 10 9 8 8 7 7 8 9 9 9 9 9 9 8 5 2 1 1 1 3 5 5 6 6 7 9 10 10 9 9 9 9 9 9 10 12 14 17 20 23 26 28 28 25 22 18 16 14 13 13 13 12 12 12 10 9 8 7 6 6 6 nan
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nan 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 11 11 10 9 8 8 8 7 8 8 9 9 8 7 6 6 6 8 11 15 17 15 12 10 10 9 10 10 10 10 11 11 11 10 9 9 9 8 7 6 4 1 1 1 3 6 9 9 9 9 8 7 6 7 9 9 8 9 13 20 24 24 21 16 13 12 12 12 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 6 6 5 4 5 6 7 8 8 8 6 4 1 -2 -1 2 6 9 11 13 14 14 14 14 14 13 12 12 13 14 14 13 13 12 12 11 10 nan
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nan 11 10 10 9 9 9 10 11 12 12 11 11 11 11 12 11 10 9 10 12 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 13 14 16 17 18 18 17 15 15 15 16 17 18 19 20 21 22 23 23 24 25 24 21 16 10 6 4 6 7 8 9 9 9 9 9 9 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 11 11 12 12 13 13 13 13 13 12 12 12 12 12 11 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 13 13 13 13 13 13 12 12 12 12 nan
nan 12 11 10 10 11 11 12 13 13 12 11 10 11 12 12 11 10 10 11 12 13 12 12 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 11 11 11 11 11 12 13 15 16 16 14 11 11 12 14 15 16 17 17 18 20 21 23 23 23 21 19 15 10 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 11 11 12 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 nan
nan 11 9 9 10 10 12 14 14 14 13 12 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 11 11 11 11 11 11 11 10 11 12 12 13 12 10 10 11 12 12 12 13 13 14 15 17 19 19 18 17 15 12 11 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 10 10 10 10 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 8 8 7 8 8 10 12 14 15 15 13 12 11 11 12 12 13 13 13 12 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 12 12 11 11 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 12 13 14 14 14 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 11 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 nan
nan 8 7 6 6 6 7 9 11 13 14 13 13 12 11 11 11 12 13 13 12 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 12 13 13 12 12 12 13 13 14 14 14 13 13 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 10 9 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 11 11 11 10 9 8 8 9 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 nan
nan 9 8 7 6 6 8 9 10 11 11 12 12 12 11 11 10 10 11 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 12 12 12 13 14 15 17 17 18 18 17 16 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 13 12 12 12 12 12 12 12 12 12 12 11 10 9 8 8 9 10 10 11 11 11 11 11 11 9 8 9 9 9 9 nan
nan 10 9 8 7 8 10 11 11 11 11 11 11 11 10 10 9 9 10 11 12 12 11 10 9 9 10 10 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 11 11 10 10 10 10 9 10 11 12 12 12 12 12 13 16 17 18 19 20 21 19 17 16 15 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 10 10 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 13 13 12 11 10 9 10 10 10 11 10 11 11 12 12 10 9 9 9 9 9 nan
nan 11 10 9 9 9 9 11 12 13 14 13 12 11 10 10 10 9 9 10 11 12 12 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 9 8 8 7 8 10 13 14 14 14 13 11 12 13 14 15 17 19 20 21 20 19 18 17 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 10 10 10 11 11 11 12 12 11 11 11 10 10 10 10 11 12 12 13 13 13 13 13 13 12 12 12 13 13 13 13 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 nan
nan 12 11 9 8 7 8 10 13 16 16 15 13 12 11 11 10 10 9 9 10 11 12 11 10 9 9 9 10 10 10 10 11 12 12 11 11 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 10 9 8 6 5 5 7 12 16 18 18 16 14 12 11 12 12 12 13 15 17 18 20 21 21 21 19 18 16 15 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 11 11 11 10 10 9 9 9 9 8 8 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 12 13 13 13 13 12 12 12 12 13 13 13 12 11 11 10 11 11 11 11 10 10 10 10 10 10 9 10 9 nan
nan 12 11 9 8 7 7 10 13 15 15 14 13 12 11 11 11 11 10 10 10 11 11 11 10 9 9 10 10 10 10 10 10 11 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 8 5 4 3 7 13 17 20 21 18 15 12 12 12 11 11 11 12 13 14 17 19 21 22 22 20 19 17 16 15 15 14 14 14 14 14 14 13 13 12 12 12 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 12 12 12 12 12 13 12 12 11 11 10 11 11 11 11 11 10 10 10 9 9 9 9 10 nan
nan 12 11 10 9 9 9 11 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 10 9 7 5 3 4 7 12 16 20 21 18 15 13 11 11 11 11 11 11 11 11 12 14 16 19 20 20 20 19 19 18 18 17 17 16 16 16 15 15 14 14 13 13 12 12 12 12 12 13 13 13 13 14 14 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 12 11 10 9 9 8 8 9 9 9 10 10 11 11 11 11 11 11 10 10 10 9 9 10 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 11 11 11 10 10 9 9 9 9 10 nan
nan 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 12 11 11 10 8 5 3 3 7 11 16 20 20 17 15 13 11 11 11 11 11 11 11 10 10 11 12 14 16 17 18 18 19 20 20 19 19 19 18 18 17 17 16 16 15 15 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 11 11 10 10 9 9 10 10 nan
nan 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 12 12 11 11 10 8 6 4 4 7 11 16 20 19 17 15 13 11 11 11 11 11 11 11 10 10 10 10 10 11 12 14 15 16 18 19 19 20 20 20 19 18 18 18 18 17 17 16 16 15 14 14 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 11 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 10 11 12 12 12 12 12 11 11 10 10 9 9 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 9 7 5 6 8 11 15 17 16 14 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 13 14 15 16 17 18 19 19 19 19 19 19 18 18 17 17 16 16 15 14 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 11 10 10 10 10 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 8 8 10 11 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 11 12 12 13 14 15 17 18 18 19 18 18 18 18 18 18 18 17 16 15 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 11 10 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 10 10 10 10 10 10 10 11 12 13 14 15 16 16 17 17 18 18 18 19 19 18 18 17 16 15 14 14 13 13 13 13 13 12 12 12 13 13 12 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 10 11 11 12 12 12 12 11 11 10 10 10 nan
nan 10 11 11 11 11 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 9 10 10 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 14 15 16 16 17 18 19 20 20 20 19 18 17 16 15 15 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 nan
nan 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 11 11 12 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 12 12 13 13 14 15 17 19 20 21 21 21 20 19 18 18 17 16 16 15 15 14 14 14 13 13 13 12 12 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 13 13 12 12 12 12 11 11 11 11 11 11 12 12 13 14 14 14 14 13 13 12 12 12 12 13 13 13 12 12 12 12 11 nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 11 11 12 12 11 11 11 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 10 10 10 12 13 16 17 18 19 21 21 21 21 21 20 19 18 17 16 15 15 14 14 14 13 12 12 13 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 10 10 10 9 10 10 10 11 11 11 12 12 13 13 13 12 12 12 11 11 11 11 11 12 13 14 15 15 15 14 14 14 13 13 13 13 13 12 12 13 13 13 13 nan
nan 10 10 10 10 10 10 10 11 10 10 11 11 11 11 11 10 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 11 11 11 10 10 9 9 10 10 12 13 14 15 17 19 20 22 24 23 21 19 18 17 16 16 15 15 15 14 13 13 13 13 12 12 12 12 13 13 13 13 12 12 12 11 11 12 12 11 10 10 9 9 10 10 10 10 10 10 11 12 12 13 13 13 13 13 12 12 11 11 10 10 11 12 13 14 14 14 14 14 14 13 13 12 12 11 11 12 13 14 14 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 10 10 11 13 16 20 23 24 23 22 20 19 18 17 17 16 16 15 15 15 14 13 13 13 13 12 12 12 12 12 12 12 11 11 12 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 11 12 13 14 14 13 13 12 11 11 10 10 10 10 10 11 12 13 13 13 14 13 13 12 12 11 11 11 12 12 13 nan
nan 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 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 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 8 8 7 7 8 11 14 18 20 22 23 22 22 21 20 19 18 17 17 16 16 15 15 14 14 13 13 12 12 12 12 12 11 11 11 12 12 13 13 13 13 12 11 10 10 9 9 9 9 9 9 10 11 12 13 14 14 13 12 12 11 10 10 9 9 9 9 10 10 11 11 12 12 12 11 11 11 11 10 10 10 11 nan
nan 11 11 11 11 10 10 10 11 11 11 11 10 11 11 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 11 11 11 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 7 6 5 5 7 10 13 17 20 21 23 24 24 23 21 19 18 18 17 17 16 15 15 14 13 13 12 12 11 11 11 10 11 11 12 13 13 14 14 13 13 12 12 11 10 10 9 9 10 10 10 11 12 13 13 13 13 12 11 11 10 10 9 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 nan
nan 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 10 10 10 8 6 4 3 3 5 7 11 14 16 20 24 25 25 23 22 20 19 19 18 17 17 16 15 14 13 13 12 10 9 9 9 9 9 10 11 12 13 13 13 14 14 14 13 12 12 11 11 10 10 9 10 10 11 12 13 13 13 12 12 11 10 10 9 9 8 8 8 8 9 9 9 9 10 9 9 8 8 8 8 nan
nan 11 11 10 11 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 9 8 6 4 4 4 6 7 8 9 14 19 21 23 23 23 22 21 21 20 19 19 17 16 15 15 14 12 10 9 8 7 7 7 8 9 10 11 12 13 14 15 15 15 15 14 13 12 12 10 10 10 11 11 11 12 12 12 12 12 12 11 10 10 10 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 nan
nan 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 11 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 9 8 7 7 7 7 6 5 5 8 11 14 17 18 20 21 22 23 23 22 21 20 18 17 17 16 15 14 12 10 9 8 7 7 7 9 11 12 12 13 14 15 16 16 15 14 14 13 12 12 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 9 nan
nan 10 10 10 10 10 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 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 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 11 11 11 11 11 11 11 11 10 9 9 9 9 10 9 8 6 6 6 8 9 11 12 15 18 20 22 25 25 24 22 21 20 20 19 19 18 17 15 13 11 9 7 7 9 11 12 12 11 12 13 14 15 15 15 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 nan
nan 10 10 10 10 10 10 10 10 11 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 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 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 8 10 11 14 17 21 24 24 23 23 24 23 23 24 24 23 21 18 15 11 7 7 8 10 11 10 9 9 10 11 12 13 14 15 15 14 14 14 14 14 13 12 12 12 12 13 12 12 11 10 11 11 12 12 11 10 9 8 8 9 9 9 9 9 8 7 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 10 10 10 10 10 10 10 11 11 11 11 11 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 10 10 10 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 10 10 10 9 8 6 6 6 6 6 8 10 13 16 19 22 23 25 29 32 31 30 28 25 21 16 11 10 10 10 8 7 7 7 8 9 11 12 13 14 14 14 14 14 14 14 13 12 12 12 12 12 13 12 12 11 11 11 12 13 12 11 10 8 8 9 10 11 10 10 9 8 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 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 10 11 11 10 9 8 6 5 3 2 2 2 3 5 8 14 18 24 31 36 37 37 35 32 29 24 20 17 14 11 9 7 5 4 5 7 9 10 11 12 13 14 15 15 14 14 13 12 12 12 12 12 13 12 12 11 11 11 13 14 14 13 11 9 9 10 11 13 13 13 13 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 8 7 8 8 8 9 10 11 11 11 10 10 9 7 3 1 -0 -1 -0 1 3 7 11 18 26 30 33 36 38 37 34 30 27 24 21 17 14 10 6 4 4 6 8 9 11 12 13 14 14 15 15 14 14 13 13 13 13 12 12 12 12 11 11 12 13 14 15 14 12 10 9 10 12 14 15 15 15 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
5 5 4 3 4 6 5 5 6 9 14 20 24 28 29 29 28 27 25 24 23 22 21 20 18 17 15 12 7 5 2 1 0 0 0 1 1 2 4 8 10 15 20 23 24 24 25 26 27 27 26 24 19 17 15 15 14 14 14 13 13 12 12 13 17 23 27 31 34 35 35 33 30 27 26 23 26 26 24 23 24 25 28 32 34 39 65 113 163 194 204 202 217 238 265 307 365 416 442 467 492 504 500 483 447 417 413 432 449 412 425 433 409 351 291 266 240 251 284 296 294 273 238 207 191 175 152 138 123 99 66 45 46 65 103 167 266 346 371 368 356 341 321 234 168 147 189 315 528 707 840 925 970 981 1142 1408 1609 1701 1681 1533 1360 1259 1230 1251 1296 1355 1404 1418 1390 1328 1277 1280 1284 1254 1186 1099 1015 951 865 757 643 487 298 162 92 67 55
5 4 3 2 3 6 6 6 7 10 13 18 23 30 30 28 28 26 24 23 22 22 23 22 21 19 17 15 12 7 4 2 1 0 0 0 0 0 2 6 9 11 13 15 16 18 19 21 24 25 25 23 17 16 16 15 15 16 16 15 15 14 15 18 23 28 34 42 48 47 46 44 40 36 36 33 32 30 27 25 23 23 24 27 30 33 40 50 57 70 92 99 115 132 146 156 166 207 265 335 408 460 507 532 526 514 505 503 509 437 415 408 385 346 311 292 283 278 278 286 285 277 262 247 236 207 167 146 131 108 71 42 26 23 32 53 108 175 239 284 314 336 347 309 248 184 155 299 515 695 824 894 903 859 926 1097 1333 1602 1808 1750 1654 1568 1504 1461 1441 1461 1489 1492 1449 1362 1295 1277 1269 1237 1165 1063 984 917 848 773 687 538 357 206 120 84 63
4 4 3 3 3 5 7 8 9 11 13 16 20 24 25 26 26 25 24 24 24 24 25 24 23 21 20 18 15 11 7 3 1 1 0 0 0 0 1 3 4 5 6 8 11 14 15 16 19 22 24 24 19 17 16 17 16 17 20 19 17 16 18 25 32 40 48 55 59 60 60 59 56 52 51 46 43 40 37 35 29 30 31 31 31 32 30 28 28 33 42 58 81 97 102 100 94 111 166 291 392 370 421 487 547 595 611 555 543 470 405 364 354 372 346 330 313 294 283 294 291 281 270 262 260 243 197 167 148 117 81 50 28 16 10 9 28 53 86 124 170 217 264 299 297 242 173 286 466 658 822 909 873 832 829 890 1036 1292 1464 1577 1640 1673 1693 1627 1553 1507 1486 1490 1481 1403 1347 1317 1296 1257 1181 1091 989 900 841 813 758 609 416 244 136 102 77
3 3 2 2 2 5 7 8 10 12 14 19 21 22 24 25 26 25 25 24 25 27 26 24 22 22 22 21 19 16 12 7 3 1 0 0 0 0 0 1 1 1 2 4 7 11 12 13 15 17 20 22 20 18 17 17 17 17 23 25 24 25 28 34 43 52 61 68 74 77 76 73 70 67 61 55 50 45 39 38 36 38 40 40 37 33 30 27 26 28 35 47 64 72 70 60 56 76 108 198 301 272 301 365 459 565 642 592 556 492 418 347 276 311 321 316 302 290 295 308 311 305 293 280 281 275 265 240 192 128 93 66 43 25 12 5 6 7 11 24 54 90 134 204 274 283 267 306 410 583 794 924 910 854 793 802 977 1132 1243 1329 1418 1540 1667 1689 1675 1643 1603 1585 1556 1489 1424 1374 1338 1268 1173 1071 991 947 943 946 881 729 518 297 173 123 94
2 2 2 3 3 4 6 8 10 12 15 18 19 22 24 25 26 25 25 25 25 25 25 23 22 22 23 23 23 20 15 10 5 1 0 0 0 0 0 0 0 0 0 1 4 6 8 10 10 10 13 17 18 17 16 17 16 19 25 28 30 32 38 46 56 67 76 84 87 85 80 76 72 69 63 57 52 47 42 40 40 43 45 43 35 33 33 32 31 30 32 38 51 63 71 70 69 97 121 148 189 198 218 254 331 449 576 598 578 564 594 647 458 351 301 269 245 229 244 262 280 298 316 313 302 289 279 259 207 141 109 87 67 46 28 13 5 4 4 6 14 25 47 97 187 266 313 326 378 513 725 865 915 881 816 815 1003 1129 1207 1254 1300 1475 1646 1748 1800 1822 1817 1782 1684 1582 1484 1387 1326 1257 1187 1132 1119 1157 1189 1174 1091 933 698 399 249 165 119
3 2 3 4 4 4 7 10 10 11 13 15 15 17 20 22 21 21 21 21 23 24 24 21 19 20 22 24 24 23 19 12 6 2 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 6 6 9 13 14 14 15 16 20 24 28 31 37 48 57 66 74 79 80 81 77 72 68 64 59 53 49 45 42 41 39 40 44 47 46 44 42 41 40 38 36 35 39 54 79 105 123 129 142 154 163 179 203 211 221 260 348 491 588 616 641 670 609 491 409 327 258 218 191 193 200 209 226 251 279 298 303 292 265 212 170 138 112 89 71 65 47 27 14 6 5 6 8 14 32 78 148 232 299 369 478 624 720 785 821 837 853 964 1109 1264 1385 1396 1534 1652 1730 1759 1734 1673 1638 1604 1582 1560 1472 1410 1362 1344 1358 1393 1449 1435 1375 1277 1138 913 595 367 231 162
0 2 3 4 5 5 11 12 10 9 10 12 12 14 16 18 18 18 19 20 21 21 21 18 17 18 21 23 24 23 22 16 9 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 9 12 14 14 15 18 22 26 31 41 46 55 64 73 78 75 75 72 69 66 61 53 45 38 34 32 33 33 34 38 44 46 49 51 51 50 49 45 42 42 53 78 119 162 176 181 183 184 192 225 236 226 216 263 417 580 647 638 604 497 426 362 295 244 226 203 184 171 171 180 197 230 270 300 313 314 276 233 190 148 109 81 82 76 57 35 18 7 6 6 7 10 20 36 75 147 249 381 502 555 586 642 732 803 876 994 1170 1376 1442 1499 1518 1489 1423 1327 1238 1210 1261 1385 1536 1540 1528 1498 1457 1401 1398 1417 1389 1328 1244 1143 963 729 505 329 230
2 3 3 3 4 4 4 7 9 9 10 11 11 11 12 14 17 21 22 24 26 27 23 20 19 20 23 26 26 24 24 21 14 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 10 12 13 15 17 22 25 26 34 39 47 56 68 79 82 83 80 74 67 57 46 34 26 20 19 18 19 24 31 38 44 49 53 56 59 59 58 55 54 57 73 115 157 186 206 216 216 213 234 254 251 219 212 345 535 659 660 574 473 410 331 256 223 217 196 168 147 142 167 187 219 257 290 311 327 314 287 253 210 139 101 78 61 49 37 26 13 7 5 5 6 7 10 16 38 100 201 346 423 437 480 579 700 797 882 996 1181 1330 1395 1346 1202 1073 900 775 722 760 916 1139 1274 1339 1320 1199 1072 1026 1020 1012 981 962 919 846 731 587 417 313
3 3 3 4 5 5 3 5 6 8 9 8 9 11 13 16 20 23 23 25 28 30 26 23 22 22 23 25 27 26 27 25 20 12 7 4 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 3 5 8 10 11 14 17 20 22 21 27 36 45 54 65 76 80 77 70 62 53 41 30 21 15 11 7 8 10 15 22 29 36 43 48 54 59 62 64 67 74 82 85 128 170 209 242 264 262 253 246 251 260 250 196 308 493 649 697 615 474 387 312 232 193 188 176 147 112 104 145 185 222 258 293 320 331 330 316 291 266 191 138 93 60 47 41 31 18 10 9 6 7 7 7 8 11 27 66 179 287 335 409 508 613 708 800 909 1072 1227 1278 1174 953 718 544 426 346 304 376 535 668 726 678 577 557 548 561 579 548 580 593 594 573 518 419 344
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