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 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 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 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 8 8 7 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 7 7 7 9 9 9 9 9 9 9 10 10 10 9 9 8 7 7 7 7 8 8 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 8 6 5 6 7 7 8 8 9 9 10 10 10 10 8 9 10 10 10 9 8 8 9 10 10 9 8 8 8 8 9 9 9 9 8 8 7 7 8 7 7 8 9 nan
nan 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 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 8 8 8 8 7 6 6 7 9 9 9 8 8 8 7 8 8 7 7 7 8 8 7 8 8 10 10 9 9 9 9 10 10 10 9 9 9 9 8 8 7 7 7 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 10 10 10 11 11 10 10 10 9 7 4 4 5 6 7 7 7 8 9 9 10 10 10 9 9 9 10 10 9 8 8 8 8 8 7 7 8 9 9 10 9 8 7 6 6 6 6 6 6 5 6 7 nan
nan 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 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 8 8 8 7 7 8 9 10 9 9 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 11 10 10 10 10 9 7 5 5 5 6 6 6 7 8 9 9 9 9 8 8 9 9 9 9 8 8 9 8 7 6 6 7 8 8 9 9 8 7 6 6 5 5 4 4 3 3 4 5 nan
nan 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 8 8 9 9 9 8 8 8 8 8 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 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 8 8 7 7 7 7 8 8 8 9 9 10 10 10 9 9 8 8 8 9 9 8 7 7 8 8 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 11 11 10 10 10 10 9 8 8 7 7 6 6 6 7 8 8 9 9 8 7 8 8 8 7 7 7 8 8 9 8 7 7 8 8 7 7 7 6 6 5 5 5 4 3 2 2 2 4 5 nan
nan 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 8 8 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 10 10 10 9 10 10 10 10 9 9 9 8 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 10 11 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 8 7 6 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 8 8 8 9 9 8 8 7 6 5 5 4 5 5 4 4 4 4 5 6 6 nan
nan 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 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 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 9 10 10 10 9 9 10 10 11 11 11 11 10 10 11 12 12 12 11 11 11 11 11 10 10 10 11 12 11 10 7 6 6 6 6 6 7 7 8 8 8 8 8 9 10 10 11 10 8 8 8 7 7 7 8 7 7 6 6 6 7 7 7 7 8 9 9 8 7 nan
nan 8 8 8 9 9 9 9 9 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 9 9 9 9 9 9 9 9 10 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 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 9 9 8 8 8 8 9 9 9 8 8 9 10 11 12 12 11 10 10 11 11 12 11 10 10 10 10 10 9 8 9 10 11 11 10 7 6 6 6 6 6 6 7 7 8 8 9 9 10 11 12 12 11 10 9 9 8 8 7 7 7 7 8 9 10 10 11 11 11 12 12 12 10 9 nan
nan 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 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 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 11 10 10 9 9 10 10 10 10 9 9 8 8 7 7 7 7 8 10 10 9 8 8 8 9 9 8 8 7 7 8 8 8 9 9 10 10 11 11 11 11 11 11 11 10 9 8 9 11 12 11 11 13 13 14 13 12 11 11 10 nan
nan 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 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 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 9 8 8 8 9 9 9 9 9 9 8 7 6 5 5 5 6 7 9 9 9 9 10 11 11 10 10 9 8 8 7 7 7 8 8 8 9 9 10 11 11 12 12 13 13 13 13 13 13 12 11 11 11 12 13 12 12 11 11 11 nan
nan 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 9 9 9 9 10 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 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 8 7 8 9 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 7 7 5 4 4 4 4 5 6 7 7 8 9 11 11 11 10 9 9 9 8 7 7 7 7 7 7 7 7 7 8 9 10 10 10 11 13 14 14 14 14 13 12 11 10 10 10 11 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 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 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 9 10 10 9 9 8 8 8 9 9 8 8 8 7 7 6 5 4 4 5 5 6 7 6 6 6 6 8 9 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 10 11 11 12 12 12 11 10 10 9 10 11 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 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 9 9 9 9 9 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 8 8 8 8 9 9 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 10 10 9 8 7 7 6 5 4 5 7 8 10 10 10 9 7 6 7 8 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 11 11 10 10 9 8 8 8 8 8 8 8 9 9 10 10 11 12 12 11 10 10 10 12 13 nan
nan 9 9 9 9 9 9 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 9 8 8 9 9 10 10 10 11 10 9 8 7 6 5 6 7 10 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 12 13 14 14 13 12 10 10 10 10 10 9 9 9 9 9 9 10 12 12 12 11 10 11 11 13 nan
nan 9 9 9 9 9 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 8 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 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 9 8 8 8 8 9 10 11 12 12 12 12 13 13 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 11 13 14 14 14 13 12 12 12 13 13 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 8 8 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 9 9 9 9 9 9 9 10 10 10 9 9 9 10 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 12 12 12 12 13 14 14 14 13 12 11 11 11 10 10 10 11 11 11 10 10 9 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 8 7 5 3 1 -0 0 2 3 3 3 4 6 8 10 10 10 9 9 9 9 9 10 11 11 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 11 11 11 11 11 12 12 13 13 13 13 12 12 11 10 10 10 10 11 12 12 11 9 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 10 9 10 10 10 9 9 9 9 8 8 7 7 8 9 10 11 12 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 7 4 2 -1 -5 -7 -9 -10 -10 -9 -8 -7 -6 -2 2 7 9 10 9 8 8 9 9 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 10 10 10 11 12 13 13 12 nan
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nan 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 8 7 7 8 7 4 0 -3 -6 -9 -11 -12 -12 -9 -4 -1 3 6 9 11 12 13 13 13 13 13 13 12 12 11 11 10 10 10 9 9 9 10 11 11 11 10 10 9 7 5 5 4 3 3 4 6 7 7 8 8 7 4 0 -4 -9 -12 -12 -10 -7 -3 0 2 4 5 5 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 8 7 7 7 8 9 10 11 11 11 11 11 10 10 9 9 10 10 11 11 10 10 10 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 8 7 8 8 8 5 2 -1 -2 -3 -3 -5 -6 -6 -6 -5 -3 1 5 8 9 10 11 12 13 13 12 12 11 11 10 9 8 8 8 8 9 10 11 12 11 11 12 13 15 16 17 16 15 15 15 15 15 14 13 12 12 12 11 9 5 -0 -5 -8 -10 -10 -10 -9 -8 -6 -3 -0 3 5 6 5 6 6 7 8 9 9 9 10 10 10 10 11 11 11 10 9 8 6 6 7 8 10 10 10 9 9 9 10 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 9 8 8 8 8 7 4 1 -0 -1 -1 -0 0 0 0 0 -0 1 5 8 10 9 9 10 11 12 11 10 10 9 8 8 7 7 7 8 9 10 10 11 11 10 11 12 14 18 21 24 25 25 26 28 28 25 22 19 17 15 14 14 13 11 9 8 6 2 -1 -5 -8 -11 -12 -10 -6 -2 2 5 4 3 4 5 6 6 7 8 8 9 10 10 11 11 11 10 9 9 8 8 8 9 10 11 12 12 12 11 11 11 10 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 9 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 8 8 8 9 8 6 3 1 1 1 1 1 2 3 4 5 6 8 10 11 10 10 10 10 11 10 9 8 8 7 7 7 6 7 8 9 10 9 9 9 9 8 8 10 11 14 16 19 21 23 23 24 25 25 25 25 23 21 18 16 14 14 13 13 13 12 9 6 3 -1 -5 -7 -8 -8 -7 -4 -2 -1 1 3 4 4 4 5 7 8 10 10 10 10 10 10 10 12 13 13 12 11 11 12 13 13 12 12 12 12 11 9 8 8 8 9 9 9 9 9 9 8 7 7 7 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 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 9 9 9 9 8 4 2 1 1 1 2 2 3 5 6 7 9 11 12 12 10 11 11 10 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 8 7 7 7 7 8 9 10 10 10 9 7 6 9 14 20 25 26 25 22 20 17 15 14 14 14 14 13 12 11 9 7 2 -3 -7 -11 -13 -11 -9 -6 -2 1 2 3 4 5 6 7 8 8 9 9 9 11 12 13 14 13 12 11 11 11 11 11 10 11 12 12 11 10 9 8 9 9 9 8 8 7 6 6 5 5 6 7 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 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 10 10 10 9 7 3 2 1 2 3 3 4 5 6 7 8 10 12 13 13 13 12 11 10 8 8 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 7 4 -1 -4 -4 -1 5 12 17 22 24 25 24 21 18 16 15 14 14 14 13 14 13 12 10 6 2 -3 -7 -10 -11 -10 -7 -4 -1 1 3 3 3 4 5 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 12 12 11 10 9 9 9 9 8 8 8 8 7 6 6 6 6 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 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 10 10 10 10 9 6 4 3 3 3 4 4 4 6 7 8 10 11 12 13 14 15 14 12 10 9 9 8 8 8 8 8 8 9 9 8 8 7 7 8 8 8 8 8 9 9 9 9 7 5 2 2 4 6 9 11 13 16 20 23 25 25 23 21 19 18 17 17 16 17 17 17 16 15 13 9 6 1 -3 -7 -9 -8 -6 -3 -0 1 1 2 2 3 4 4 3 3 4 4 5 6 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 11 10 9 9 10 11 10 10 9 8 7 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 5 5 4 4 5 6 7 9 10 11 12 13 15 15 13 11 11 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 11 10 9 10 12 16 19 20 18 15 13 14 15 18 21 25 26 27 26 25 25 25 25 25 26 26 25 22 19 16 14 11 8 2 -2 -6 -8 -8 -5 -1 1 3 3 3 4 4 3 4 4 5 7 8 9 9 9 8 9 9 9 8 7 8 8 9 9 10 11 11 11 10 9 9 10 10 10 10 9 7 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 9 10 10 11 11 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 9 8 6 5 4 3 3 4 6 8 10 11 11 11 12 15 15 12 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 13 17 21 23 22 19 15 14 13 13 13 16 20 24 27 28 29 30 30 31 31 31 30 29 28 25 23 21 19 17 14 10 5 -1 -5 -5 -2 2 5 6 6 6 6 6 6 7 8 9 10 10 10 9 9 10 11 11 10 9 9 9 9 9 9 9 10 10 9 8 7 7 7 7 8 8 7 6 nan
nan 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 10 10 10 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 8 5 3 1 1 2 3 5 7 9 10 11 11 11 13 16 17 15 14 13 12 12 11 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 12 14 16 16 15 13 12 12 12 12 12 13 15 17 19 22 23 24 25 25 25 24 24 24 26 28 28 27 27 26 26 23 20 15 10 8 7 8 8 9 9 8 8 7 7 7 8 7 7 7 7 7 8 9 10 10 11 11 10 10 9 7 6 7 8 9 9 8 7 6 5 4 5 7 7 8 nan
nan 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 8 5 2 1 0 1 2 4 6 8 9 10 11 11 12 16 20 21 21 19 15 13 12 11 11 11 12 11 11 10 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 11 12 11 10 9 7 6 7 8 10 11 11 12 13 13 15 16 16 16 16 16 15 15 16 18 22 25 26 28 29 29 29 28 26 25 22 19 15 12 11 10 9 8 8 8 7 7 6 5 5 5 6 7 8 9 9 10 10 11 10 8 6 5 6 7 8 9 9 8 7 6 5 6 8 9 10 nan
nan 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 8 8 9 10 10 10 10 10 10 9 9 9 9 8 6 4 3 2 2 2 3 5 7 8 10 10 11 11 13 19 23 25 23 19 15 13 12 11 11 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 11 11 11 10 9 6 2 0 1 3 7 9 10 11 12 12 12 12 12 12 12 11 11 11 11 12 14 17 19 20 20 20 21 23 24 24 22 19 15 12 11 10 9 8 8 8 9 8 8 7 7 7 8 8 9 9 9 10 10 11 11 11 11 9 9 10 10 10 9 9 9 9 9 10 11 12 13 nan
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nan 9 9 9 8 8 8 8 9 10 10 10 11 10 11 10 9 6 5 5 6 9 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 13 15 18 20 18 17 17 18 23 26 25 22 18 15 14 15 17 20 22 22 23 23 24 26 29 31 31 27 21 16 14 12 12 11 11 10 10 10 10 10 11 12 12 13 15 15 15 14 13 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 9 6 4 3 4 6 8 9 8 9 9 10 11 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 12 13 13 14 14 13 13 12 11 12 14 15 15 14 14 16 18 18 nan
nan 6 5 4 3 3 4 6 7 9 10 10 10 11 10 9 7 6 6 7 10 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 14 14 14 15 17 19 20 19 17 15 16 18 21 25 27 28 28 28 29 30 31 32 31 27 21 16 14 13 12 12 11 11 11 11 11 11 11 11 12 13 14 15 15 15 14 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 11 11 12 12 12 12 10 8 7 6 8 11 13 14 13 13 12 12 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 13 14 15 15 16 18 19 20 18 nan
nan 7 4 1 -1 -2 -1 0 2 4 6 8 9 10 9 9 9 9 11 13 14 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 13 12 11 12 14 17 21 23 24 24 24 25 25 25 25 23 20 17 14 13 12 12 12 12 11 11 11 11 11 11 11 12 12 13 15 16 16 16 14 13 12 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 10 9 10 12 16 18 19 18 16 15 14 14 14 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 13 13 14 15 15 16 16 15 nan
nan 11 8 5 2 0 -1 -1 -1 -1 1 4 7 8 9 9 10 12 14 15 14 13 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 9 9 9 10 12 14 15 16 16 16 16 16 16 16 14 13 12 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 13 15 16 17 16 14 13 12 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 12 14 16 16 15 14 14 14 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 nan
nan 14 13 12 10 9 8 7 7 6 7 8 8 9 9 10 11 11 12 12 11 11 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 11 10 9 8 8 8 8 8 9 10 11 12 12 12 12 11 11 11 11 10 10 11 11 12 12 12 12 12 12 11 11 11 12 12 11 11 10 11 12 13 15 17 17 16 14 13 12 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 11 12 12 12 12 12 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 12 12 11 11 11 11 12 12 12 12 12 12 12 nan
nan 14 15 16 15 15 16 18 19 21 19 17 14 12 11 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 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 8 7 6 5 5 6 8 9 11 11 12 12 12 12 11 11 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 11 14 16 17 17 16 14 12 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 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 9 10 10 10 11 11 12 12 12 11 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 12 nan
nan 12 13 14 14 16 18 19 20 19 18 16 14 13 11 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 11 12 12 12 11 11 11 11 11 11 11 11 11 11 9 6 3 1 -2 -3 -1 3 7 10 12 13 13 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 10 12 15 17 18 17 15 14 12 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 11 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 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 10 9 10 12 13 14 12 9 7 7 9 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 11 11 11 11 11 11 9 6 1 -4 -8 -12 -10 -5 1 8 12 14 14 14 14 14 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 9 10 13 17 18 18 17 15 13 12 11 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 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 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 nan
nan 9 9 9 10 10 9 7 7 8 10 12 13 12 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 11 11 11 11 11 10 8 3 -3 -7 -10 -11 -6 1 8 14 17 16 15 15 15 14 13 12 12 11 11 11 12 12 12 12 12 12 12 11 12 12 12 12 11 10 9 9 10 11 15 17 18 18 17 14 12 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 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 10 10 10 10 10 11 11 11 11 11 11 12 12 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 nan
nan 10 10 11 11 12 12 14 16 18 19 17 15 12 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 11 11 11 11 11 10 7 2 -1 -3 -3 -1 4 8 13 18 19 17 15 15 14 13 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 11 11 10 10 9 11 13 16 18 18 17 15 13 11 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 nan
nan 10 10 11 12 14 17 19 21 21 18 15 12 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 11 11 12 12 12 11 10 8 6 5 4 4 6 7 9 13 17 19 18 16 14 13 12 11 10 11 11 11 12 12 12 12 11 11 10 10 10 10 11 12 12 11 10 10 10 12 14 17 18 18 16 13 12 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 nan
nan 9 10 10 11 13 14 15 15 14 13 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 12 12 12 12 12 12 12 12 11 10 8 7 6 6 8 14 20 21 20 18 14 13 12 11 11 11 12 12 12 12 11 11 11 10 10 10 10 11 12 12 12 11 10 10 11 13 16 18 18 17 14 12 11 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 11 10 10 10 11 11 12 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 nan
nan 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 12 12 12 12 13 12 10 7 5 5 8 12 20 25 25 24 19 14 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 12 13 12 12 11 10 11 13 15 17 18 17 16 13 12 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 11 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 12 12 12 12 12 12 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 8 7 7 8 10 11 12 12 12 11 11 11 11 11 11 12 11 11 10 10 11 11 12 12 12 12 12 12 11 11 11 11 10 7 6 7 10 15 21 28 29 27 23 17 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 13 12 12 11 11 13 15 17 18 18 17 15 13 12 11 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 11 11 12 13 13 12 12 11 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 12 12 12 12 12 12 12 12 13 nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 8 6 5 5 6 8 10 11 12 12 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 13 12 12 11 11 11 11 11 10 9 8 9 12 16 22 27 28 26 22 17 13 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 12 12 11 11 12 14 16 18 19 18 16 14 12 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 12 11 11 11 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 nan
nan 11 11 11 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 8 5 4 3 5 9 12 13 14 13 12 12 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 9 10 11 13 17 20 21 20 17 14 12 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 11 11 12 14 16 18 19 18 17 15 13 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 13 12 11 10 10 10 10 10 11 11 11 12 12 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 9 10 10 10 10 11 11 12 12 12 12 nan
nan 11 11 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 7 4 5 7 11 16 17 16 15 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 11 10 10 10 12 13 14 13 12 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 11 12 12 12 12 12 12 12 14 16 18 19 18 17 15 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 13 13 13 12 11 10 9 9 10 10 11 11 11 12 13 13 14 14 13 13 13 12 12 11 11 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 nan
nan 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 12 11 10 10 11 13 15 17 17 16 14 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 12 11 10 10 9 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 11 11 11 11 12 12 12 12 12 12 13 15 17 18 19 17 16 14 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 9 9 9 10 11 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 11 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 12 nan
nan 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 11 11 11 13 15 17 17 17 14 13 12 12 13 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 10 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 15 17 18 19 18 16 14 13 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 10 10 10 10 11 11 12 12 13 13 13 13 13 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 nan
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nan 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 13 13 13 12 11 11 10 10 10 11 11 12 12 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 14 16 18 19 18 17 15 13 12 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 8 8 7 7 7 8 10 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 11 12 12 12 11 10 9 8 7 8 8 9 10 10 11 11 12 12 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 nan
nan 10 10 10 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 9 10 11 12 12 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 13 13 12 12 11 11 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 14 16 17 19 18 17 15 13 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 7 7 7 8 8 9 10 11 11 12 12 11 11 11 11 12 12 13 13 13 13 13 13 12 11 11 11 11 11 11 12 12 12 11 10 9 8 7 8 9 10 11 11 11 12 12 12 12 13 13 13 13 13 12 11 11 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 nan
nan 9 9 9 9 9 9 10 10 11 11 11 11 12 11 10 9 7 5 5 7 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 11 11 10 11 11 12 12 12 12 12 12 12 12 13 15 17 18 18 17 16 13 12 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 8 8 8 9 9 10 10 11 11 11 12 12 12 12 12 12 13 13 14 14 14 14 13 11 8 7 6 7 8 10 11 11 11 12 11 11 10 9 8 9 9 11 12 12 12 12 12 12 12 13 13 13 13 12 11 10 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 11 11 nan
nan 9 9 9 10 10 10 11 11 11 11 11 11 12 12 11 10 9 8 9 10 12 12 12 12 11 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 10 10 10 10 11 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 13 12 12 12 11 12 13 14 16 17 18 17 16 14 12 11 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 12 12 12 13 13 14 14 13 13 14 14 14 14 14 13 10 6 2 -1 -2 -1 1 5 9 11 11 11 12 12 12 11 9 9 10 10 11 12 12 12 13 13 13 12 12 13 13 12 12 11 10 9 9 9 8 9 9 10 11 11 11 12 12 11 10 10 10 11 11 nan
nan 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 13 15 17 17 16 15 13 11 11 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 13 15 17 18 17 16 15 12 11 10 10 11 11 11 11 11 11 11 11 10 11 11 12 12 12 11 10 10 10 11 12 13 13 14 14 14 14 14 14 14 14 14 13 13 13 13 13 12 10 7 3 -3 -6 -7 -7 -4 -0 3 8 10 11 11 10 10 10 10 10 10 11 11 12 12 12 12 13 13 12 12 12 12 12 11 11 10 9 9 9 8 8 9 9 10 11 11 12 12 12 12 12 12 12 12 12 nan
nan 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 14 16 17 17 16 14 12 11 10 10 10 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 11 11 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 13 15 17 18 18 17 15 13 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 12 14 16 17 17 16 14 13 12 12 12 11 11 11 11 11 10 9 8 5 2 -2 -4 -4 -3 -1 1 3 5 6 7 7 5 4 5 7 9 10 12 12 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 10 10 11 12 12 12 12 12 13 13 13 13 13 nan
nan 12 12 12 12 12 11 11 11 11 10 10 11 10 10 11 11 12 13 14 14 13 12 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 12 12 13 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 11 11 12 12 11 11 11 11 12 12 14 16 17 18 17 15 13 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 11 12 14 16 17 17 16 14 13 12 10 10 9 8 8 8 8 7 7 7 4 3 1 0 1 2 4 6 7 6 6 4 3 1 -1 -1 2 6 10 12 13 14 14 13 13 13 12 12 12 12 12 12 12 12 12 11 10 10 10 9 10 10 10 11 12 12 12 11 11 11 11 11 11 11 12 12 nan
nan 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 15 17 17 17 15 14 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 12 13 14 15 15 14 13 12 13 12 12 11 10 9 8 7 6 6 6 6 5 4 3 3 4 5 7 9 10 9 8 6 2 -0 -2 -1 2 6 9 11 12 13 13 13 12 12 11 11 11 12 14 14 14 15 14 13 12 12 11 11 10 11 11 12 12 13 12 11 10 9 9 9 9 9 9 10 10 nan
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nan 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 11 11 11 11 12 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 15 16 16 16 15 14 13 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 11 11 10 10 10 11 11 10 9 7 4 2 2 3 5 8 9 11 11 11 11 10 9 8 7 6 6 5 5 5 7 9 11 12 11 10 10 11 11 13 15 16 16 16 16 15 15 15 15 14 13 13 13 13 13 13 13 12 11 10 9 10 11 12 12 12 12 12 nan
nan 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 13 14 15 16 16 16 15 14 13 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 12 12 11 11 10 11 12 12 12 12 11 11 10 10 11 11 12 12 12 11 9 7 4 2 2 3 5 7 9 10 11 10 10 10 10 9 8 8 7 5 4 5 6 8 12 14 14 13 11 11 11 11 12 13 14 14 15 15 15 15 14 14 13 13 13 13 13 13 14 14 13 11 10 10 10 11 13 13 13 13 13 nan
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CAPE
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 2 3 4 4 3 3 3 2 2 3 3 3 3 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 2 17 26 30 30 26 37 48 57 66 74 81 85 85 83 84 89 93 88 93 96 96 91 83 73 64 59 70 80 76 64 59 60 61 57 49 50 57 61 58 43 59 64 61 57 59 60 57 52 46 38 31 28 27 26 28 32 39 42 46 48 51 50 51 51 51 53 55 54 51 47 46 45 43 39 34 28 21 15 11 10 9 10 11 16 21 26 31 35 37 37 36 41 49 55 61 67 67 64 58 52 41 31 22 14 13 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 2 1 2 2 2 1 1 1 1 1 0 0 0 0 0 5 8 8 7 4 8 19 34 48 52 54 54 53 55 60 66 72 69 73 75 72 69 73 72 69 72 86 91 88 80 78 77 75 72 66 67 69 70 66 40 35 33 29 29 36 36 32 27 24 22 22 24 26 29 32 37 44 46 47 48 50 47 47 49 52 55 56 54 51 49 47 45 43 40 34 27 20 13 13 13 15 18 22 28 32 35 37 38 40 41 41 46 53 60 64 65 65 60 51 44 36 27 18 8 9 9
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 3 3 3 3 3 4 3 3 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 4 4 4 4 4 2 2 3 3 3 3 2 2 1 0 0 0 1 1 2 3 4 3 1 2 5 10 18 27 34 41 47 49 52 56 62 64 66 66 64 61 75 87 91 89 92 91 85 78 69 60 56 60 56 50 42 33 27 23 20 20 22 25 26 25 23 22 21 20 21 24 28 33 38 42 46 50 56 64 59 54 51 53 55 59 58 54 51 48 46 44 40 36 31 26 21 19 20 23 27 31 35 39 42 42 42 42 43 45 47 53 59 63 64 64 62 58 49 40 29 18 16 12 11 11
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 2 3 2 2 2 3 3 3 3 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 2 1 1 1 2 4 6 8 10 11 11 8 7 9 12 14 17 22 28 35 41 45 50 55 61 63 64 65 68 60 62 65 65 57 64 65 60 53 45 38 34 33 29 25 23 23 23 22 22 24 26 27 28 27 24 23 21 20 22 27 33 39 43 45 51 64 81 93 84 77 70 65 62 62 60 57 52 51 48 44 40 35 32 30 31 34 38 42 45 47 49 51 51 48 47 47 48 51 54 58 62 64 63 62 59 55 50 45 37 27 22 18 16 14
0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 3 2 2 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 3 3 3 5 5 5 6 7 6 7 7 7 7 7 7 6 6 4 2 2 2 5 11 18 22 27 30 32 32 27 24 22 21 14 16 22 30 36 44 53 62 66 65 63 60 56 51 45 42 41 40 39 40 41 40 36 32 27 23 20 20 22 25 23 23 25 26 26 26 27 27 27 27 27 27 29 33 40 44 47 50 52 57 59 58 79 82 76 69 67 66 65 63 60 57 56 55 54 52 52 52 50 53 56 59 61 61 59 57 58 59 58 56 54 54 56 58 58 60 61 62 60 54 50 47 43 39 33 29 25 22 19
0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 3 3 4 6 6 7 7 8 9 9 10 10 10 10 9 8 8 11 15 22 31 46 55 57 56 56 57 58 60 56 51 48 46 33 33 37 43 47 63 81 95 95 73 63 58 52 47 42 41 42 42 42 42 41 38 31 25 21 18 18 21 24 25 26 26 28 29 28 26 25 27 31 39 40 39 39 43 50 56 60 61 60 61 64 67 70 69 67 63 61 63 64 65 65 65 66 72 75 74 73 71 70 67 63 59 55 52 50 49 52 57 59 60 59 57 57 56 55 56 59 59 55 49 44 40 37 31 30 29 28 25 21
0 0 0 0 0 0 1 1 1 1 1 2 2 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 1 0 0 0 0 1 2 2 2 3 6 8 8 8 9 9 9 8 8 7 8 8 7 7 8 9 10 10 12 13 13 14 14 14 12 10 16 28 43 55 65 76 86 95 105 103 96 89 84 79 77 79 84 80 74 68 63 65 85 104 113 109 84 68 60 53 45 41 42 47 48 48 44 39 32 25 20 18 17 20 22 25 27 28 29 30 31 28 25 27 32 36 42 46 47 48 52 58 62 62 59 55 54 53 54 56 56 57 58 60 63 66 65 67 69 72 77 78 74 68 62 57 50 43 36 32 30 29 29 35 42 46 49 50 49 49 49 51 56 58 56 51 45 37 30 27 25 25 26 26 23 19
1 1 0 1 1 0 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 3 3 4 4 3 2 1 1 1 1 3 6 8 9 11 14 17 19 21 18 16 15 14 14 12 12 12 11 12 12 12 11 12 14 15 17 18 18 18 18 22 38 54 66 75 83 92 101 112 121 125 123 116 112 103 105 117 129 129 123 110 88 99 110 114 113 115 93 73 61 53 46 44 46 49 49 45 38 31 24 19 18 19 19 21 23 24 27 29 31 31 31 29 30 35 43 48 53 57 58 55 52 49 47 45 42 40 39 40 41 41 42 47 55 64 71 76 71 72 75 75 72 64 57 50 44 38 32 25 21 19 19 20 19 24 30 34 37 34 31 31 32 36 45 51 52 49 42 34 27 22 20 22 24 22 20 17
2 2 2 2 2 1 2 2 2 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 6 6 6 7 7 6 4 2 2 5 9 13 15 18 22 24 28 27 24 22 25 23 21 19 18 17 16 15 13 17 22 24 20 24 29 34 40 51 67 79 85 89 95 101 108 118 121 120 117 117 118 123 130 137 142 143 141 134 117 117 115 112 113 110 92 71 55 48 46 47 48 46 41 34 27 21 18 16 16 18 19 21 23 25 28 30 32 33 35 38 41 44 50 52 53 50 46 41 36 32 28 29 28 29 30 32 31 31 34 42 51 62 73 79 82 82 76 69 60 54 48 43 37 31 26 21 19 18 18 19 18 20 23 25 26 23 20 19 19 21 27 35 41 42 37 30 21 18 17 19 21 21 21 20
3 3 2 3 3 2 2 3 3 3 3 3 3 2 3 3 2 2 2 2 2 3 2 3 3 4 4 4 3 3 3 2 3 5 7 7 8 8 9 8 7 8 10 13 14 15 16 18 20 23 26 28 30 34 33 32 30 28 23 20 19 17 23 33 43 47 56 61 64 68 76 85 91 94 95 97 100 104 112 114 114 114 115 115 119 123 126 127 128 126 121 114 110 108 108 99 84 70 59 52 49 49 48 44 38 30 23 18 15 14 13 13 15 17 20 22 26 30 33 34 36 40 44 49 52 51 48 42 35 28 23 20 18 16 18 19 20 22 23 22 22 25 31 38 46 55 60 61 59 55 50 46 42 40 37 33 28 24 21 21 20 18 18 17 17 18 20 17 14 10 9 10 12 15 20 26 28 27 22 17 15 15 17 18 20 22 25
3 2 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 6 6 8 9 9 9 10 11 13 14 16 20 22 24 24 28 31 34 37 38 32 26 23 21 22 32 48 61 67 69 72 77 84 89 90 90 90 91 95 102 109 114 115 115 116 114 115 116 116 114 114 113 110 107 107 109 113 93 75 64 59 55 54 51 45 37 29 23 19 15 14 12 11 11 13 15 18 21 27 31 34 36 38 43 48 50 49 44 37 30 25 21 18 15 13 11 11 12 13 14 15 16 17 19 22 27 32 36 38 38 37 36 34 32 30 28 28 27 26 24 23 22 21 18 18 18 18 16 18 17 15 13 12 13 15 17 20 23 24 23 20 17 15 14 14 16 18 22 24
2 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 5 5 5 4 3 2 1 0 1 1 2 3 4 5 6 8 8 9 10 12 15 18 21 23 23 25 28 31 36 39 39 38 35 28 23 26 36 50 60 66 70 79 86 88 88 87 86 88 91 98 105 111 114 115 115 113 112 110 107 109 109 108 104 105 107 114 129 114 92 74 69 64 57 48 37 30 25 21 19 16 14 12 11 11 12 15 17 21 27 32 36 39 40 43 45 45 40 34 28 22 20 17 15 13 12 11 11 11 11 12 14 14 15 17 19 22 26 27 27 26 27 28 27 25 24 24 27 28 28 26 25 25 23 22 22 22 23 22 21 23 26 29 32 33 34 35 35 33 32 31 30 27 23 19 15 15 17 18 19
2 3 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 4 3 4 5 5 4 4 4 4 5 5 5 5 4 3 3 3 2 0 0 0 0 1 2 3 4 6 8 9 10 12 15 18 20 22 22 24 27 31 34 39 43 46 46 47 40 33 30 39 52 62 67 77 85 88 88 84 86 87 89 93 101 108 113 114 114 113 111 107 105 105 104 101 101 106 111 118 128 121 102 80 72 64 53 40 26 23 20 18 17 15 13 12 11 12 13 15 18 25 30 34 37 41 42 42 40 36 31 26 21 18 17 16 15 15 14 13 12 11 10 10 11 13 14 15 17 18 19 19 19 20 21 23 24 24 21 24 26 27 29 28 28 30 31 31 31 31 32 33 40 50 55 57 58 61 65 63 60 56 53 52 51 48 43 38 30 24 20 20 19
3 3 3 3 3 3 3 3 3 3 3 3 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 1 0 0 0 0 1 2 3 6 7 9 10 12 15 18 20 22 23 26 29 32 34 39 44 46 46 52 51 46 42 38 37 43 58 74 83 87 86 83 83 84 85 90 96 105 113 117 116 113 108 105 105 104 103 102 102 106 113 118 117 104 88 75 68 58 44 30 16 13 14 15 15 15 13 12 12 14 16 19 24 29 33 35 37 38 38 35 30 25 23 21 18 16 15 15 16 16 15 15 13 12 11 10 10 11 10 12 15 16 16 16 17 19 21 23 24 26 26 26 26 25 28 29 31 35 37 38 38 38 40 47 68 92 83 73 69 68 71 73 73 67 61 60 60 59 58 58 54 48 40 34 28
3 3 3 3 3 3 3 3 3 2 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 2 1 0 0 0 1 2 4 6 8 10 12 16 18 21 22 24 27 30 30 34 39 43 45 42 48 56 61 60 54 52 57 66 74 82 86 84 83 84 86 89 91 96 103 111 116 116 112 108 105 104 102 101 98 101 105 107 104 95 81 69 66 58 47 35 25 18 14 13 12 14 14 14 13 14 17 21 25 29 32 34 35 36 35 31 27 23 18 17 18 19 17 15 14 14 15 15 14 12 11 10 10 10 12 11 10 11 14 15 16 18 20 22 23 25 27 28 28 28 28 29 32 36 38 41 42 43 45 45 49 58 68 61 54 51 49 48 45 44 45 44 44 45 47 51 55 58 58 56 51 45
2 3 3 3 3 3 4 3 3 2 3 3 3 4 4 3 4 5 4 5 5 5 5 5 5 5 5 5 5 4 3 4 4 3 3 3 2 1 0 0 0 0 0 2 5 8 11 13 16 19 21 23 25 27 29 28 32 37 41 44 41 44 49 57 64 63 62 62 65 72 79 85 83 87 92 96 99 99 100 101 105 111 113 111 106 104 104 104 104 99 99 100 95 73 67 64 61 57 47 36 27 20 16 14 14 13 14 15 15 16 17 21 24 28 31 33 35 35 33 30 26 21 19 15 15 16 17 16 14 13 13 13 12 10 9 10 10 11 11 11 9 7 8 12 15 17 19 21 22 24 25 27 28 29 30 31 34 37 39 39 40 41 41 40 37 36 38 34 31 29 27 27 27 27 26 28 28 30 34 37 40 44 50 54 58 59 57
3 3 3 3 3 3 3 4 4 3 4 3 3 3 3 4 4 5 5 4 4 5 6 5 5 4 4 5 5 5 4 4 3 3 2 2 2 1 1 1 2 2 1 2 3 5 6 9 13 17 20 22 23 25 26 27 29 34 38 42 41 43 48 57 63 62 60 60 65 72 78 82 87 97 104 108 105 102 98 94 94 101 102 101 100 101 96 94 104 100 101 100 95 65 58 56 54 48 40 31 23 19 18 19 19 17 17 17 17 18 20 23 26 29 30 31 31 30 27 24 21 17 15 14 14 14 14 13 11 10 10 10 10 9 10 10 10 10 10 10 10 11 12 15 17 19 20 21 22 23 26 29 31 32 32 33 34 36 38 37 37 37 38 36 32 26 21 20 19 19 19 18 17 16 15 16 19 22 26 31 35 40 45 50 56 61 64
3 3 3 4 4 5 5 4 4 5 4 4 3 3 3 3 4 5 5 5 5 4 5 5 5 5 5 5 5 4 4 3 3 2 0 1 1 2 3 4 5 5 4 4 3 3 3 4 7 11 16 20 20 21 24 27 29 31 35 38 39 42 47 55 59 59 59 61 68 74 78 84 96 107 114 113 105 96 89 84 84 88 88 88 92 97 92 88 97 98 98 98 97 72 57 50 46 38 34 30 23 22 23 24 24 22 21 20 20 21 23 25 26 25 26 27 26 24 22 19 17 15 14 14 13 12 11 11 10 8 8 9 9 9 9 9 10 11 11 11 12 13 15 17 19 19 21 22 23 26 27 29 30 31 32 32 33 36 38 40 41 41 40 37 33 29 25 22 19 16 14 13 13 13 12 12 13 16 20 24 29 35 39 43 48 55 62
3 2 5 6 8 10 10 8 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 2 2 2 1 0 1 3 4 5 6 7 8 7 7 7 7 7 6 5 5 5 11 12 15 19 22 20 23 30 33 37 42 49 54 57 59 61 65 70 76 84 95 107 114 116 110 100 90 84 80 81 81 82 82 87 87 82 74 75 79 77 73 78 65 51 39 34 31 27 22 20 23 24 23 23 22 22 22 22 23 23 25 26 27 26 25 23 22 20 18 16 15 13 12 9 10 11 11 10 10 11 11 10 10 9 10 12 13 13 12 11 13 16 17 18 18 20 22 24 26 27 27 26 27 29 31 33 34 35 37 41 42 40 38 37 35 34 30 24 20 20 20 20 16 13 11 10 11 15 19 24 28 31 35 41 48 57
3 3 4 6 8 12 12 11 9 7 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 3 2 1 1 2 2 3 5 6 7 8 8 9 9 10 9 9 9 8 7 6 5 2 3 5 10 18 26 31 32 33 33 39 50 57 61 64 68 72 74 82 94 109 118 121 117 103 91 82 77 75 78 79 80 81 81 72 62 57 60 62 59 53 53 47 39 31 23 19 17 15 17 21 23 22 21 21 21 21 22 21 20 20 23 24 24 23 21 19 18 16 15 13 11 10 8 9 9 10 10 10 11 11 11 11 12 13 13 14 14 14 13 15 17 19 19 21 22 23 24 26 25 24 23 23 24 26 28 27 27 29 33 34 35 36 37 36 35 32 30 27 25 22 20 16 12 10 9 10 12 16 22 25 28 31 35 41 49
3 3 3 4 6 9 9 9 9 8 5 5 5 5 5 5 4 4 5 6 5 5 6 5 5 5 4 4 3 3 2 2 3 3 5 5 7 8 9 9 9 9 9 9 9 9 9 8 7 6 5 2 1 1 2 14 24 33 40 44 44 48 56 61 66 71 75 76 81 92 105 117 114 106 97 88 80 74 69 67 71 74 78 80 73 65 62 61 63 60 54 47 40 31 21 12 10 9 10 13 18 19 19 19 19 19 18 18 18 18 18 19 21 20 19 18 16 15 14 13 12 11 10 9 8 8 9 9 9 10 10 10 11 12 12 13 13 14 15 16 15 16 18 19 21 21 21 21 23 21 20 21 20 19 18 19 18 18 19 20 25 27 29 30 31 30 29 29 30 29 26 22 18 14 12 11 11 10 11 13 20 23 26 29 32 36 40
2 2 2 3 3 4 4 5 5 5 4 4 4 4 4 5 5 5 6 7 7 7 7 6 5 5 5 5 5 5 4 3 3 3 4 6 8 9 10 10 10 10 9 9 9 8 8 7 6 5 4 2 0 0 0 11 21 31 41 47 52 56 59 65 71 76 78 81 89 100 109 110 103 93 84 76 70 66 65 65 68 74 79 70 63 59 57 55 54 50 44 36 28 19 11 6 4 4 7 14 18 19 19 19 18 16 15 16 18 19 19 19 17 15 13 12 11 10 10 10 9 9 8 8 7 7 7 7 9 9 10 11 12 13 13 13 14 14 14 15 15 16 17 18 19 21 21 19 20 20 19 19 17 16 14 13 14 16 18 19 22 25 26 26 26 25 25 25 26 26 24 22 19 16 15 15 14 14 14 15 19 23 27 30 33 34 35
2 2 3 2 2 2 2 3 3 3 3 4 4 4 4 5 6 6 7 7 7 8 7 6 6 6 5 4 5 6 5 5 5 5 6 7 8 9 10 10 10 9 8 8 8 7 8 7 6 5 3 3 2 1 1 8 18 30 44 37 37 44 58 68 74 78 83 92 100 104 100 92 84 76 70 64 61 60 59 62 69 72 65 57 54 52 51 49 46 42 37 29 20 13 8 5 3 5 9 17 21 22 20 18 16 14 13 14 16 16 15 14 12 10 8 7 7 8 8 9 9 9 9 7 7 7 8 9 9 10 10 11 11 11 12 14 15 15 14 14 15 16 17 17 18 19 19 16 16 17 17 16 14 12 12 13 15 17 18 20 23 25 27 27 27 27 26 26 25 24 23 21 18 16 15 15 16 17 19 24 33 41 39 37 35 36 36
2 3 4 2 1 2 2 2 2 2 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 9 7 6 6 5 5 4 2 2 5 13 23 38 28 27 37 59 74 81 85 90 94 95 92 82 75 67 61 55 54 53 54 55 60 70 73 58 49 45 44 44 42 39 35 30 24 18 14 10 7 7 9 16 24 28 27 22 19 16 13 12 11 10 9 8 8 8 7 6 6 7 7 8 9 8 7 6 6 6 6 7 8 9 9 9 9 9 10 12 13 14 14 14 14 15 16 17 18 18 18 18 16 15 15 15 14 13 14 16 17 19 21 22 23 25 27 29 30 31 32 31 30 28 26 23 22 19 17 15 16 16 18 24 35 43 42 34 36 44 51 44
2 3 3 2 1 2 2 3 3 3 4 3 3 3 4 4 4 4 5 7 12 18 15 11 9 8 7 7 7 8 7 6 6 5 4 5 6 6 7 7 7 7 8 8 8 9 8 7 7 7 6 6 6 7 8 10 12 15 24 24 27 38 67 79 85 87 89 91 87 79 69 61 54 47 41 41 43 45 48 56 61 59 46 39 35 32 32 31 30 28 26 22 19 17 14 11 11 14 23 30 33 31 25 22 18 14 10 8 6 5 4 5 5 5 5 5 5 5 6 7 6 6 5 5 5 6 6 7 8 8 7 8 9 10 11 12 13 14 14 17 19 19 19 19 18 18 16 15 13 11 12 12 12 13 16 19 21 24 25 27 29 30 31 33 34 35 35 34 32 30 28 25 22 19 17 16 16 18 25 33 38 35 42 53 60 56 48
3 3 2 3 3 3 3 4 4 4 4 4 4 3 3 4 4 5 8 15 20 18 14 13 11 10 8 7 7 7 7 5 4 3 4 5 5 6 6 7 7 8 8 9 9 9 8 8 7 6 7 8 9 10 11 12 15 18 21 25 30 39 69 74 71 68 68 70 67 59 52 46 40 33 29 31 34 37 41 46 44 33 27 25 22 19 19 20 20 20 22 21 20 19 16 15 15 18 25 31 34 32 25 19 14 10 6 4 3 2 2 2 3 3 4 4 4 4 5 6 5 5 4 4 4 5 6 7 7 7 8 9 9 10 10 11 13 15 18 21 23 21 18 17 16 17 16 14 12 9 11 12 13 15 18 21 23 26 27 28 29 29 30 32 34 35 36 36 35 35 34 31 28 24 21 20 20 21 22 23 24 26 30 35 41 38 38
3 4 4 5 5 5 7 7 7 6 6 6 5 5 6 6 7 9 16 23 25 19 15 13 11 10 9 8 7 7 8 6 5 4 5 5 6 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 13 14 17 21 25 30 35 40 61 67 62 51 41 36 33 30 28 23 17 13 14 16 17 15 14 12 12 14 16 18 18 17 16 16 16 18 20 20 19 19 18 18 19 22 27 32 33 27 20 14 9 4 2 1 1 1 2 2 2 3 3 4 4 4 4 5 5 5 4 4 4 5 6 6 7 7 8 8 8 9 9 10 12 18 18 17 17 18 17 15 14 15 15 14 14 13 14 15 16 19 21 24 25 27 28 29 28 28 29 31 32 33 32 32 35 38 39 39 35 29 27 25 24 24 23 22 21 20 20 19 21 24 28
4 4 7 9 9 9 13 14 13 12 10 9 9 9 9 10 11 13 18 20 18 15 13 11 10 10 9 8 8 7 7 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 9 9 10 11 12 15 17 20 24 29 33 36 38 44 44 40 32 25 19 16 15 15 15 13 10 8 8 8 9 11 12 13 14 15 17 18 19 19 20 21 21 21 19 17 17 17 18 20 23 29 32 29 20 13 7 3 1 0 0 0 0 1 1 2 3 4 4 5 4 4 4 4 4 4 4 4 4 5 6 7 8 8 8 8 8 9 9 9 12 12 11 13 14 15 15 15 14 14 14 15 15 16 17 19 22 24 25 26 27 27 27 27 26 26 26 26 25 24 24 30 36 40 42 37 33 29 26 24 23 23 22 21 21 20 17 17 18 19
3 3 6 10 13 13 15 18 20 21 22 19 16 14 13 12 12 12 13 13 12 12 12 11 11 11 9 8 7 6 6 6 6 6 6 6 7 7 8 8 9 10 9 9 10 10 9 9 9 9 11 12 14 14 17 19 22 25 28 31 32 32 30 27 23 19 17 15 15 16 17 18 17 14 11 10 10 11 12 14 15 16 16 17 18 21 23 24 23 21 19 17 15 14 14 15 18 22 27 27 20 12 5 2 0 0 0 0 0 0 0 0 1 2 3 4 3 2 2 2 2 2 2 2 3 4 6 7 8 9 9 9 9 10 10 10 9 10 10 11 11 13 14 14 14 15 15 16 17 19 20 22 23 24 24 24 25 24 23 21 21 20 18 17 16 17 18 19 23 29 34 36 32 28 24 22 21 21 21 23 24 23 19 17 16 15 15
4 4 5 8 12 14 16 18 21 24 26 26 23 19 16 14 13 13 13 13 13 13 12 11 10 9 7 6 6 6 5 5 5 5 6 6 6 7 8 8 8 10 9 9 9 10 9 9 9 9 11 13 15 17 20 22 23 24 24 24 25 24 23 21 19 18 17 17 17 16 17 17 16 13 11 10 11 11 12 13 13 14 15 16 18 21 22 22 20 19 17 15 13 14 15 16 18 23 25 22 15 7 2 0 0 0 0 0 0 1 1 1 1 1 2 3 2 1 1 1 1 1 1 1 3 4 5 6 7 8 10 10 11 10 10 10 10 11 11 11 12 12 12 12 14 16 19 19 20 22 24 24 25 25 24 23 22 21 19 18 15 13 12 11 10 11 14 16 19 24 27 25 22 19 17 17 17 17 18 18 19 19 17 16 15 13 12
4 4 4 3 6 12 16 18 18 16 16 17 17 16 14 13 13 13 13 13 12 10 10 9 8 7 7 6 6 6 5 5 4 6 7 7 6 7 8 9 9 10 10 9 9 9 9 9 10 12 14 16 18 21 23 23 22 21 19 18 18 17 18 18 19 20 20 19 19 18 16 14 13 12 11 10 11 11 11 12 11 13 14 15 16 17 17 18 17 16 15 13 10 10 11 12 15 22 24 20 11 4 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 1 1 2 4 4 4 4 5 7 9 10 11 11 11 10 10 11 11 11 11 11 12 13 15 17 18 21 23 26 27 27 25 25 24 24 23 21 19 17 13 10 8 8 8 8 8 11 13 15 16 14 13 12 12 12 13 14 14 14 14 14 14 14 14 13 12 11
4 4 3 2 4 11 16 16 15 12 13 14 14 14 13 13 12 12 12 11 10 10 9 8 7 6 5 5 4 4 4 4 4 6 7 7 8 8 9 10 10 10 9 9 10 11 12 13 14 16 18 20 22 23 23 22 20 18 16 16 16 16 20 25 28 25 23 21 19 15 13 11 11 11 10 10 10 10 10 11 11 12 12 12 12 13 14 14 12 11 9 8 7 7 9 12 17 21 22 17 7 2 1 0 0 0 1 1 2 2 2 2 1 1 1 1 0 0 0 0 1 2 3 1 2 3 5 6 8 9 11 12 11 10 10 10 10 11 12 13 14 14 14 16 17 19 22 24 25 26 27 26 25 24 25 24 21 17 12 8 6 5 5 5 5 4 5 6 7 8 7 7 7 7 8 9 9 9 9 9 10 10 11 12 13 12 12
3 4 4 4 7 11 14 16 18 21 26 27 25 17 15 13 12 12 11 10 9 8 7 7 6 5 4 4 4 5 6 6 5 7 8 8 8 8 9 9 9 9 10 12 14 15 17 18 20 21 22 23 23 23 23 21 17 17 21 29 39 47 56 61 52 34 23 17 14 11 10 9 8 9 10 10 9 8 8 9 9 10 10 10 11 12 12 12 9 8 7 6 6 7 9 12 17 19 18 11 6 3 1 1 2 3 4 3 3 3 2 2 2 1 0 1 0 0 0 0 1 1 2 2 3 4 5 7 9 10 11 10 9 10 10 10 10 10 13 14 14 15 15 16 17 19 22 23 24 26 27 27 25 23 22 20 17 14 10 7 5 5 4 3 2 2 2 3 2 3 4 4 5 5 5 5 5 5 6 7 6 7 7 9 11 11 11
3 3 4 8 13 15 14 18 22 26 26 23 19 16 14 13 12 11 10 9 8 7 6 6 6 5 4 4 4 5 5 6 6 7 8 8 8 7 8 9 10 12 13 14 17 19 22 24 24 24 25 25 25 23 21 18 12 16 27 41 47 50 53 55 52 34 21 14 10 8 7 6 6 7 8 9 8 8 9 10 10 10 10 10 11 11 10 8 7 6 6 6 5 6 9 14 17 19 17 9 5 2 1 1 3 4 5 5 5 5 4 3 2 1 1 0 0 0 0 0 1 2 2 3 4 5 6 8 9 10 12 11 10 11 11 11 11 12 13 14 14 15 16 18 19 20 22 23 24 25 27 27 25 23 20 17 15 13 10 7 5 4 3 2 1 1 1 1 1 1 2 2 2 3 3 3 3 3 3 4 3 4 5 7 8 9 9
4 4 5 6 8 10 16 18 18 18 18 17 15 14 13 12 10 9 8 7 6 5 6 6 6 5 5 5 5 6 6 6 6 7 8 8 9 9 10 12 14 15 16 18 20 23 25 26 24 25 25 25 23 22 19 14 8 11 22 36 41 44 46 47 50 36 22 14 9 6 4 3 5 6 7 7 7 7 7 7 8 8 9 9 8 7 7 6 6 5 5 4 5 6 10 15 19 19 16 11 6 4 4 5 7 7 7 6 6 6 4 3 2 1 0 1 1 0 0 0 0 1 2 3 5 6 7 8 9 10 11 11 12 12 12 12 12 13 13 13 12 14 17 18 18 17 19 22 25 27 28 28 26 23 19 16 15 13 11 8 5 3 2 1 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 3 3 5 6 8 9 10
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6 6 7 8 8 9 9 10 10 9 9 9 8 7 7 6 5 5 6 6 6 7 8 8 9 10 10 10 10 10 11 11 11 13 14 15 16 17 18 19 19 21 23 25 27 25 23 23 24 24 22 18 18 16 13 10 8 5 4 11 22 29 32 30 27 19 9 2 1 0 0 0 0 0 0 1 1 1 2 2 3 4 5 6 6 5 4 3 2 1 2 3 5 9 13 15 14 9 7 7 7 7 9 10 10 9 8 7 5 3 2 1 0 0 0 0 0 0 1 1 1 1 2 1 0 2 5 9 11 12 13 12 11 11 10 8 7 10 14 14 13 13 13 13 15 19 22 24 24 23 21 17 13 11 9 9 10 11 13 10 7 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4
6 6 7 8 8 8 9 9 9 8 8 8 7 7 7 6 6 6 7 7 8 9 9 9 9 9 9 10 11 14 16 17 17 17 18 18 19 20 20 20 22 25 27 27 25 22 20 19 21 20 18 16 16 16 15 12 11 9 7 10 21 26 25 21 14 7 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 5 4 3 2 1 1 2 3 5 9 12 12 10 8 7 7 9 10 10 11 11 9 7 6 4 2 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 3 6 9 10 11 11 11 10 8 6 5 7 11 12 13 13 14 15 19 22 25 26 26 24 21 18 16 15 16 18 20 21 21 17 13 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2
8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 10 9 9 10 14 23 34 39 36 28 25 23 22 22 22 21 20 21 21 21 23 25 25 24 20 17 16 16 16 15 13 13 13 14 14 12 11 11 9 7 9 9 5 3 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 2 4 4 3 2 1 1 1 1 2 4 7 12 13 13 12 11 10 10 12 12 12 11 10 9 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 5 7 8 10 10 9 8 7 8 7 8 10 11 11 12 12 15 19 23 26 26 26 26 23 23 24 24 23 23 23 23 22 19 15 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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8 8 8 9 10 11 11 11 11 12 12 12 13 13 13 14 15 16 17 17 16 14 13 13 13 15 16 18 20 21 21 22 23 22 21 18 16 15 14 13 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 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 1 2 3 7 11 16 18 18 18 18 17 16 14 12 10 8 6 4 2 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 2 2 2 3 3 3 4 4 4 5 4 4 4 3 3 2 1 2 2 3 3 3 3 3 5 8 10 10 9 9 9 11 14 17 19 20 21 21 20 21 23 26 26 23 20 16 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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