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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 8 8 8 8 9 10 11 10 8 6 5 5 6 8 9 7 5 3 3 5 7 6 3 2 4 7 8 7 4 2 3 6 6 5 4 4 4 4 5 6 6 7 8 10 12 13 13 10 8 8 8 8 7 5 4 2 0 1 2 3 3 3 4 5 6 6 3 0 1 3 1 -5 -10 -9 -3 1 2 1 4 10 16 16 12 10 11 12 11 10 8 7 8 9 9 9 7 6 6 6 7 7 8 11 14 14 12 9 7 5 4 5 6 7 7 6 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 5 5 5 4 4 3 3 3 3 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 6 6 6 5 5 5 5 4 4 nan
nan 8 7 8 9 9 10 11 11 10 8 7 6 6 7 9 10 8 6 5 5 6 6 5 5 6 8 11 11 8 3 -0 0 3 6 8 7 5 4 5 6 7 7 6 5 5 7 10 12 10 8 7 7 7 6 4 4 3 3 5 6 7 7 6 5 5 5 5 3 3 3 1 -2 -6 -9 -10 -8 -5 -1 3 8 13 14 13 11 11 11 11 10 9 7 5 6 8 10 10 8 6 5 5 5 6 8 12 15 15 12 10 8 6 5 5 6 7 7 6 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 6 6 5 4 4 4 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 5 5 5 4 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 5 5 5 nan
nan 6 7 9 11 11 11 11 11 10 10 9 7 6 6 8 9 7 5 4 6 7 6 4 5 8 11 15 15 10 4 1 1 2 6 9 9 6 6 7 7 7 7 6 3 2 4 7 10 10 9 7 7 7 7 6 5 5 7 8 9 8 6 5 3 3 5 7 9 9 6 2 -3 -6 -8 -11 -12 -9 -3 5 11 13 11 8 8 10 11 11 10 9 6 4 4 7 10 11 9 5 4 4 4 5 8 12 16 15 12 9 8 7 6 5 6 6 7 6 6 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 4 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 4 4 5 5 5 5 5 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 6 7 9 11 12 11 10 9 9 10 11 9 5 5 8 9 7 4 4 6 6 5 4 5 7 10 13 14 10 6 3 2 4 7 9 9 8 9 9 8 7 6 5 3 2 3 5 8 10 11 10 10 10 9 7 7 7 8 8 7 5 3 2 2 2 4 7 11 12 9 4 -0 -2 -4 -7 -8 -7 -1 7 12 12 9 6 6 9 10 11 10 9 7 4 4 7 10 11 8 5 3 3 3 5 8 13 17 15 11 8 7 7 7 6 6 6 7 7 6 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 3 3 3 2 2 2 3 3 4 4 5 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 4 3 3 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 9 10 10 11 12 12 9 7 6 7 9 8 4 4 8 11 10 7 5 6 5 3 3 4 5 6 7 8 9 8 6 4 5 7 8 9 9 10 10 8 6 5 4 4 3 3 4 6 9 13 15 14 12 9 7 6 7 7 5 3 2 2 2 2 2 1 3 6 9 8 5 4 3 2 1 0 1 4 8 12 12 10 7 7 8 10 10 10 9 7 5 5 8 11 10 7 4 3 2 4 6 9 13 17 15 11 8 6 7 7 7 6 6 6 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 2 2 3 3 4 4 5 6 6 7 7 7 7 7 7 6 6 5 5 5 5 5 4 4 3 3 3 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 nan
nan 14 13 11 10 12 13 10 7 4 4 6 6 5 5 8 11 12 10 8 6 4 2 2 3 3 3 2 5 9 11 9 7 6 6 6 7 8 8 8 7 5 4 3 3 3 3 3 5 8 12 15 14 11 8 7 6 5 3 2 2 2 3 5 5 3 1 0 2 5 7 7 7 6 6 7 8 9 9 9 9 11 12 10 8 8 9 9 10 9 8 6 7 9 10 8 6 4 3 2 4 7 10 15 17 16 11 7 6 5 6 7 6 6 6 7 8 7 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 nan
nan 16 12 10 9 10 11 10 6 3 3 5 7 7 7 8 10 12 11 9 7 4 2 2 2 2 2 3 6 10 12 10 8 6 4 4 5 6 6 6 6 6 4 4 4 4 3 3 4 6 9 10 10 9 10 11 9 5 1 -0 1 3 6 8 8 6 4 3 4 6 7 8 8 7 7 8 10 12 12 9 6 7 11 12 11 9 9 9 9 9 9 8 8 9 9 7 5 4 2 2 4 8 12 16 18 15 11 8 6 5 5 6 6 6 6 7 8 7 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 nan
nan 12 9 9 9 9 8 8 6 4 5 7 8 9 9 8 9 10 10 9 8 5 3 4 5 3 2 4 7 10 11 11 9 6 4 3 3 4 4 5 6 6 6 5 5 5 4 3 3 5 6 6 6 7 12 16 14 7 1 -1 1 4 9 10 8 6 6 8 8 8 8 8 8 8 6 6 7 10 11 9 5 6 9 12 12 10 8 8 8 9 10 9 9 9 8 7 5 4 2 2 5 9 14 17 17 14 11 8 6 5 5 5 6 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 5 5 5 4 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 nan
nan 6 7 9 10 9 8 7 6 5 6 7 8 9 8 7 7 8 9 8 7 4 3 7 9 5 2 2 5 6 8 10 10 8 4 3 2 2 3 4 5 6 6 6 6 7 6 5 4 4 5 5 5 6 10 14 14 9 4 1 2 6 11 9 5 3 6 9 10 8 8 9 11 10 6 4 3 4 7 8 7 8 10 12 12 10 8 8 8 9 9 10 10 9 8 7 5 4 3 2 5 11 16 17 16 13 10 8 7 6 6 6 6 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 8 9 9 9 9 8 7 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 3 5 8 10 10 10 9 8 8 8 8 7 6 4 4 5 6 7 7 4 2 4 10 13 7 2 -0 1 3 6 10 11 9 6 4 3 2 2 3 4 4 5 6 8 10 10 8 6 5 4 5 5 4 5 7 9 9 7 4 5 9 10 6 0 -0 4 8 9 8 8 10 12 10 7 4 2 2 5 8 11 12 13 13 12 9 8 7 8 8 9 9 9 9 8 7 5 4 3 3 6 12 17 17 14 11 9 8 7 6 7 8 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 8 9 10 10 9 8 7 7 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 3 5 8 9 10 11 11 11 11 10 8 5 2 -0 -0 1 3 4 4 1 0 4 11 14 9 2 -0 1 3 6 9 11 10 7 5 4 3 2 2 2 4 6 9 12 13 13 11 8 6 6 6 5 4 3 3 5 8 9 9 11 12 10 3 -2 -2 3 6 7 7 7 9 10 9 8 5 3 3 6 10 13 14 14 14 12 9 7 7 8 8 8 8 8 8 8 6 5 5 4 5 8 13 17 16 12 9 8 7 6 7 8 9 8 7 7 8 8 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 7 8 9 9 9 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
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nan 6 7 7 6 6 7 7 6 7 8 9 8 5 3 1 0 1 2 2 1 1 3 8 11 9 5 2 2 4 5 7 8 9 8 7 7 5 2 1 3 6 9 12 13 14 13 12 11 10 9 7 5 5 5 4 4 5 6 7 8 10 10 8 5 6 7 7 5 4 5 6 7 8 8 5 2 4 8 12 14 15 15 14 11 8 7 8 7 7 6 7 7 7 6 6 6 6 6 7 11 16 16 13 10 8 7 7 7 8 8 9 8 8 8 8 8 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 4 4 5 5 6 6 6 7 8 8 8 7 7 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 nan
nan 8 7 7 6 6 6 5 2 2 5 10 13 13 8 5 4 4 4 4 3 2 4 8 11 9 5 2 3 4 5 6 7 8 9 9 8 5 1 0 2 5 7 9 10 10 10 10 9 9 8 8 7 6 5 4 3 4 5 5 5 7 10 13 13 13 12 9 5 4 5 5 6 8 9 6 1 2 7 12 15 15 15 13 10 8 7 7 7 6 6 6 6 6 5 5 5 6 6 8 11 15 15 12 9 8 7 7 7 8 8 9 8 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 4 4 5 5 5 5 6 7 8 9 9 8 8 7 7 7 7 7 6 6 6 6 5 5 4 4 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 nan
nan 10 8 7 6 7 7 5 2 2 5 11 15 16 12 8 7 6 6 5 4 3 4 8 11 10 5 3 3 4 4 5 6 8 9 10 8 3 -1 -0 3 4 5 5 5 5 5 6 6 7 7 8 9 8 6 4 4 4 4 5 5 7 10 13 16 16 14 10 7 6 5 4 3 5 7 6 4 4 8 13 15 14 13 11 9 7 7 7 7 6 6 6 6 5 5 5 5 6 6 7 10 14 15 13 10 8 8 7 7 8 8 8 8 9 9 8 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 5 5 5 5 5 5 5 4 4 3 2 2 3 3 4 5 5 5 5 6 7 8 10 10 10 9 9 8 8 8 8 7 7 7 7 6 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 nan
nan 11 10 9 8 8 8 6 4 4 7 11 14 14 12 9 7 6 5 6 6 4 4 6 10 10 7 4 3 3 3 4 5 7 9 10 6 -0 -3 -0 3 5 5 4 3 1 1 3 4 5 6 8 11 12 9 6 4 4 4 5 5 6 7 9 11 12 12 10 9 8 5 3 1 2 4 6 8 11 13 14 14 13 12 10 8 7 7 7 7 6 6 5 5 5 4 4 5 5 6 8 10 13 15 14 11 9 8 7 7 8 8 8 8 9 9 8 8 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 3 2 2 2 3 4 4 4 4 5 5 7 8 10 11 11 10 10 9 9 9 9 8 8 8 7 6 5 5 5 5 6 6 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 nan
nan 11 11 10 8 7 7 7 5 5 7 10 12 11 9 7 7 6 5 6 7 5 3 4 6 8 8 6 4 3 3 4 6 8 10 9 4 -1 -2 1 4 6 6 5 3 2 2 3 4 4 4 6 11 14 12 7 4 3 3 3 4 5 6 6 5 5 7 9 10 9 6 3 2 3 5 9 13 16 16 14 13 11 10 9 8 7 7 7 7 6 6 5 5 4 4 5 5 6 7 8 9 12 16 16 12 9 8 7 7 7 8 8 8 8 9 8 8 7 7 7 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 3 2 2 2 3 4 4 4 3 4 5 6 7 9 10 11 11 10 10 10 10 9 9 8 8 7 6 6 5 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 nan
nan 10 9 8 6 7 8 7 5 4 6 8 9 8 6 6 6 6 5 5 7 6 4 3 4 6 7 7 6 4 4 5 7 9 11 10 5 1 0 1 3 6 7 6 5 4 4 5 5 5 4 5 8 13 12 7 3 2 1 1 3 5 7 7 4 3 5 8 9 9 7 6 6 8 11 14 16 17 15 12 11 9 9 8 8 7 7 7 7 7 6 5 4 4 5 5 6 7 8 8 9 11 15 17 14 10 7 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 6 5 5 5 5 4 5 5 5 6 5 5 5 5 5 5 5 6 6 6 6 5 4 3 2 2 2 3 3 3 3 3 3 4 5 6 8 9 10 11 11 11 11 11 10 9 8 7 7 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 nan
nan 9 8 6 5 6 8 9 7 5 4 4 3 3 3 5 6 6 5 4 6 7 6 5 5 6 7 7 7 7 6 7 8 11 13 12 8 5 3 2 3 4 6 6 6 6 6 6 7 7 6 6 6 10 11 6 2 2 2 2 3 6 8 8 7 6 7 8 8 9 9 10 11 13 15 16 17 15 12 9 8 8 9 9 8 7 6 6 7 8 7 5 4 4 5 6 6 7 7 8 8 9 13 17 16 11 7 6 6 7 7 8 8 7 8 7 7 7 7 6 6 6 5 5 5 5 6 5 5 5 5 5 6 6 5 5 5 5 6 6 6 6 6 5 4 3 2 2 2 2 2 3 3 3 3 3 4 6 7 9 10 11 11 11 11 11 10 9 8 7 7 6 6 7 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 nan
nan 9 9 8 6 6 7 9 8 6 4 2 -1 -1 2 5 6 5 5 5 6 8 8 8 8 8 8 7 7 7 8 9 10 12 13 12 10 8 5 4 3 3 4 6 7 7 6 6 7 8 8 8 9 11 11 6 3 3 4 4 4 6 7 9 10 10 10 9 8 8 10 13 15 15 15 15 15 13 10 7 7 8 10 10 9 7 6 6 7 8 8 6 4 3 4 5 6 7 7 7 7 8 11 16 16 12 7 5 5 6 7 8 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 6 6 5 5 5 5 6 6 6 6 6 5 4 3 3 2 2 2 2 2 2 2 3 3 4 5 7 8 10 11 12 12 12 11 11 10 9 8 7 7 8 8 7 6 5 4 3 3 3 2 2 3 3 2 2 2 2 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 nan
nan 8 10 11 10 8 6 6 6 6 5 3 1 1 3 5 5 5 5 6 7 8 8 8 8 9 8 7 6 6 8 9 11 13 13 11 9 8 7 6 5 4 4 5 7 7 6 5 5 7 9 11 14 16 13 8 5 6 6 5 5 5 6 8 10 10 9 7 6 7 11 14 15 13 11 12 12 12 10 8 8 9 10 9 8 6 6 7 8 9 8 7 5 4 4 5 6 7 7 7 7 7 9 14 16 13 8 5 5 6 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 6 6 5 5 5 5 6 6 6 6 6 5 5 4 3 3 2 2 2 2 2 2 2 3 4 5 7 9 10 12 13 13 13 12 12 11 10 10 9 9 9 9 7 6 4 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 7 nan
nan 4 8 11 11 9 6 4 4 5 5 4 4 4 5 6 5 5 6 6 6 7 7 7 7 7 8 8 8 8 9 10 12 13 11 9 7 7 7 7 6 5 4 5 6 7 6 5 4 5 7 11 16 16 13 9 7 7 7 6 6 6 6 6 6 5 4 3 5 8 11 13 12 9 7 9 11 12 11 9 9 9 9 7 6 6 6 8 9 10 9 8 6 5 5 5 6 7 7 7 7 6 7 11 15 14 10 6 5 6 7 7 8 8 8 7 6 6 6 6 6 6 5 5 5 5 6 6 6 5 5 6 6 6 5 5 5 5 6 6 6 6 6 6 5 5 4 3 3 2 2 1 1 1 2 3 4 5 7 9 11 12 13 14 14 13 13 13 12 12 11 11 10 9 7 5 4 3 2 2 2 2 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 7 nan
nan 2 5 9 11 10 7 3 2 2 3 3 4 5 6 6 6 5 5 6 6 7 7 6 6 7 8 10 12 13 13 14 14 13 10 8 6 5 5 5 5 4 3 4 5 6 7 6 4 4 7 10 12 11 8 8 8 7 5 5 6 7 7 5 3 1 1 3 5 8 10 10 7 4 3 6 10 13 13 11 9 9 7 6 5 6 7 8 10 10 10 8 7 6 5 5 6 7 7 8 7 5 4 8 14 14 10 7 6 7 8 8 8 8 8 7 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 5 5 4 4 3 2 2 1 1 1 1 2 4 5 7 9 11 12 14 14 15 14 14 14 14 13 13 12 11 9 7 5 3 3 2 2 2 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 6 7 7 nan
nan 2 4 9 12 11 8 4 1 1 2 3 5 7 8 8 6 4 4 4 6 7 7 7 6 6 8 11 14 16 17 18 16 14 10 8 6 4 3 3 4 4 3 3 4 6 7 7 6 6 8 9 9 7 7 8 7 4 3 3 5 8 9 8 5 4 4 5 6 7 9 8 4 -1 -1 3 10 14 14 12 9 8 6 6 6 6 7 8 9 10 10 9 8 7 6 6 6 7 7 8 7 5 4 6 10 11 8 7 8 9 9 9 9 9 8 7 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 5 5 4 4 3 2 1 1 1 1 2 3 5 6 9 11 12 14 14 15 15 14 14 14 13 13 12 10 8 6 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 nan
nan 4 5 9 12 11 8 5 3 2 4 6 7 9 11 9 6 3 3 3 5 6 6 6 5 6 7 10 13 15 18 19 17 14 10 7 5 3 2 3 4 5 4 4 5 5 6 7 8 9 10 10 8 8 9 9 7 2 0 2 4 7 9 8 6 4 5 7 7 7 8 7 2 -2 -2 3 10 15 15 12 9 7 6 6 6 7 8 9 9 9 9 9 9 8 7 6 6 6 7 8 7 6 5 5 7 7 6 7 9 10 10 10 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 5 5 4 3 2 1 1 1 1 2 3 4 5 8 10 12 13 14 15 14 14 13 13 13 12 11 9 7 5 4 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 7 7 7 nan
nan 6 5 8 11 10 7 5 4 6 8 9 10 11 12 9 6 3 3 3 4 5 5 6 6 7 8 9 11 14 17 17 15 12 8 5 3 1 2 4 6 6 6 5 4 4 4 6 9 12 13 11 9 10 11 10 5 1 -1 1 4 6 6 4 2 1 4 7 8 8 8 7 4 1 2 6 11 15 15 12 9 7 7 7 8 9 9 9 9 8 8 9 9 8 7 6 6 6 7 7 7 7 6 5 6 6 5 6 8 10 10 10 11 10 10 9 7 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 3 1 1 0 1 2 2 3 4 6 8 10 12 14 15 15 14 12 11 11 10 9 8 6 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 5 5 6 6 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 7 nan
nan 7 6 7 8 8 6 5 6 9 12 12 12 11 10 7 4 3 3 4 4 4 5 7 8 10 11 10 10 12 15 15 11 7 4 2 1 2 4 6 7 7 6 5 4 4 4 6 9 12 14 13 12 12 11 9 4 0 -1 1 3 3 3 1 0 2 5 8 8 8 8 6 5 5 6 9 12 14 13 11 9 7 7 8 9 10 10 9 8 8 8 9 9 9 7 6 6 6 6 7 7 7 6 6 6 6 6 6 7 8 9 11 11 11 10 10 8 6 5 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 4 3 2 1 1 1 1 1 2 2 3 4 7 10 14 16 16 15 12 10 9 8 7 6 4 4 3 3 2 2 2 2 1 1 1 2 2 2 3 3 4 4 5 5 6 6 6 5 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 nan
nan 8 6 6 7 6 5 5 8 13 16 16 13 9 5 3 3 3 3 3 3 4 6 8 10 11 11 10 9 11 13 13 8 3 1 1 2 4 7 9 10 8 5 4 4 4 5 6 9 11 14 15 15 14 11 7 4 2 1 1 2 3 3 4 5 6 8 9 8 7 6 6 6 7 9 11 13 13 12 11 10 9 9 10 11 10 9 8 8 8 8 8 9 8 7 7 7 6 6 6 6 6 6 6 7 6 6 6 7 8 9 10 11 10 10 10 9 7 6 6 6 7 7 8 8 7 6 7 7 7 6 6 6 6 5 5 5 6 7 7 7 7 7 7 7 7 7 6 6 4 3 2 1 1 1 0 -0 -0 0 1 2 4 7 11 14 16 16 14 12 9 7 5 4 3 2 2 1 1 1 1 1 1 1 1 1 2 2 3 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 nan
nan 7 7 7 7 7 6 7 10 16 19 17 12 7 3 2 3 4 4 3 3 4 5 8 10 10 8 8 9 10 12 11 6 2 -0 1 4 8 10 11 10 7 4 4 5 6 7 7 8 10 13 16 17 13 9 6 4 3 2 2 3 5 7 8 9 9 9 9 8 7 5 5 6 9 11 12 12 11 11 11 11 10 10 11 10 9 8 8 8 8 8 8 8 8 7 7 7 7 6 6 5 5 5 6 6 6 6 6 6 7 8 9 9 9 10 10 9 7 6 7 7 8 8 9 8 7 7 7 8 7 7 6 6 5 5 5 6 7 8 8 8 8 7 7 7 7 7 7 6 4 3 2 1 1 0 -0 -1 -1 0 2 3 4 6 8 10 13 15 16 15 12 8 7 6 4 3 3 2 1 1 1 1 1 1 2 2 3 3 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 nan
nan 8 8 9 9 8 8 9 10 13 14 12 9 5 4 4 4 5 5 4 3 3 4 6 8 8 6 7 8 10 11 10 7 3 2 4 8 11 13 11 8 4 2 3 5 7 8 8 7 7 10 15 14 9 4 3 3 2 1 2 3 6 8 9 10 10 10 9 8 6 5 5 7 10 12 12 11 11 11 12 11 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 5 5 5 6 6 6 6 6 6 7 7 8 7 8 9 10 9 7 7 8 8 9 9 9 9 7 7 8 8 7 7 7 6 5 5 5 7 8 9 9 9 8 8 7 7 7 7 7 6 5 3 1 1 1 1 0 0 0 1 3 3 4 5 5 6 8 11 14 14 13 11 10 9 8 8 7 6 4 3 3 2 2 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 nan
nan 8 9 9 9 10 10 9 6 4 4 5 5 5 5 5 5 6 7 6 5 3 2 4 5 6 6 7 8 8 9 10 9 7 7 8 11 13 12 9 5 2 1 3 6 8 9 8 6 4 8 13 10 3 -0 -0 -0 0 1 2 3 4 6 8 9 10 9 9 7 5 4 5 8 11 12 12 11 11 11 12 11 10 10 9 8 7 8 9 9 8 8 7 7 8 7 7 7 7 7 6 6 5 6 6 6 6 6 6 6 7 7 7 7 7 8 9 8 7 7 8 9 10 11 10 9 8 8 8 8 7 7 7 7 6 6 6 7 9 10 10 9 9 8 8 7 7 7 6 6 5 3 2 2 3 3 2 2 2 2 2 2 3 3 4 4 5 7 9 10 11 10 10 10 11 11 11 10 9 8 7 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 nan
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nan 13 9 5 3 2 2 3 3 4 5 5 5 5 5 6 8 9 9 9 9 8 9 12 15 19 20 20 19 16 11 3 -2 -4 -1 6 11 14 14 14 14 14 16 17 17 15 11 8 6 6 6 6 6 6 7 7 7 7 7 8 9 10 10 11 11 11 11 11 11 10 10 10 9 9 9 10 11 12 13 14 15 16 15 14 13 11 9 6 6 9 10 11 13 13 13 11 10 10 9 9 9 8 8 8 9 10 9 9 8 8 8 7 6 6 6 7 9 10 10 9 9 9 9 8 8 9 11 12 11 11 11 11 10 9 7 6 5 5 6 7 8 8 7 7 7 8 7 8 9 8 7 7 6 5 6 7 7 8 8 8 8 8 8 8 8 6 5 5 6 7 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 9 8 7 6 6 6 6 6 7 7 8 8 9 9 10 10 11 11 10 9 8 8 9 9 8 8 8 8 nan
nan 8 5 4 3 4 4 5 6 7 8 8 7 7 7 8 8 8 7 6 5 6 8 12 18 20 20 19 18 16 12 7 1 -3 -1 5 10 14 17 17 16 15 15 15 15 12 9 6 4 4 4 5 6 7 7 8 8 8 8 9 9 10 10 11 11 12 12 12 12 11 11 10 10 9 8 9 10 10 11 12 13 13 13 12 11 9 8 6 7 9 10 11 12 12 11 10 9 9 8 9 8 8 8 8 10 10 9 9 8 8 8 7 6 7 8 9 9 9 9 7 7 7 7 8 9 11 13 13 11 11 10 10 10 8 7 6 6 7 7 8 9 9 8 8 8 7 7 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 9 9 8 7 6 5 5 7 9 10 10 9 8 7 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 10 10 10 10 11 10 9 9 9 9 9 9 9 8 8 nan
nan 4 3 3 4 5 6 8 9 9 9 9 8 8 8 8 7 5 3 3 3 4 6 11 16 18 18 17 17 16 13 8 2 -1 1 5 8 12 16 17 15 13 12 11 11 10 8 6 5 5 5 6 7 8 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 9 8 9 9 9 9 10 10 11 11 9 8 8 7 6 7 9 10 10 11 10 10 9 9 8 8 8 7 7 8 10 11 10 9 8 8 8 7 7 6 7 8 9 9 8 8 7 6 7 7 8 9 11 12 12 10 10 10 9 8 6 6 6 7 8 8 8 9 9 8 7 7 7 6 6 5 6 6 7 6 6 7 8 8 8 8 8 8 9 9 9 8 7 6 5 5 6 8 10 10 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 10 9 9 8 nan
nan 4 3 4 4 5 6 8 9 9 8 7 6 6 7 6 5 3 2 1 2 4 6 9 11 14 15 17 18 17 13 7 1 2 4 5 6 7 11 12 12 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 12 12 12 13 13 13 13 12 11 10 9 9 9 9 9 8 8 8 9 8 7 7 6 6 7 8 9 9 9 9 9 9 9 9 8 8 7 7 7 9 11 11 10 9 8 7 7 7 6 6 7 7 8 8 8 8 8 7 7 7 8 9 10 11 10 10 10 9 8 6 5 5 6 8 9 9 9 8 7 6 6 6 6 5 5 5 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 6 5 5 6 9 10 10 9 7 7 7 8 9 8 7 7 7 7 7 7 7 8 8 7 8 8 9 9 10 10 10 9 9 9 9 8 8 8 8 9 10 12 12 10 9 8 8 nan
nan 5 4 4 4 4 5 6 7 7 6 5 4 4 4 5 5 4 3 3 3 5 7 8 9 10 14 17 18 17 11 4 1 3 5 6 6 6 7 9 8 7 6 6 7 8 9 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 12 13 13 13 13 13 13 13 12 11 10 10 10 10 9 9 8 7 7 8 7 6 6 6 7 8 9 9 9 8 8 8 8 9 9 8 8 7 6 7 9 11 11 9 8 8 7 7 7 6 5 6 7 8 9 9 10 9 8 8 7 8 8 10 10 10 10 9 9 7 6 6 7 8 9 10 9 7 6 5 6 6 6 5 4 5 5 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 6 6 6 7 9 10 10 9 7 6 7 8 9 9 9 8 7 6 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 10 12 13 12 10 8 7 7 nan
nan 5 4 4 5 4 4 4 5 6 6 5 4 3 3 4 5 7 6 6 6 7 9 10 11 12 14 17 18 15 8 2 0 2 5 7 9 10 10 9 7 6 5 6 7 8 10 11 11 12 12 12 11 10 9 9 9 9 9 10 11 12 13 13 14 14 14 13 13 12 12 11 11 10 10 10 10 9 9 8 8 8 7 6 6 7 8 9 9 8 7 7 7 7 8 9 9 9 8 8 7 7 10 10 10 9 8 8 8 7 6 5 5 6 8 9 10 11 10 9 8 7 7 7 8 9 10 10 10 9 8 6 6 8 9 10 10 8 6 5 5 6 6 6 5 5 5 5 6 7 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 7 6 6 8 9 10 11 10 9 8 8 8 9 10 10 9 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 8 9 10 11 13 12 11 9 7 6 7 nan
nan 5 4 4 5 4 3 2 4 6 7 7 7 6 4 4 6 9 9 7 7 9 12 14 15 14 14 16 16 12 5 1 1 3 6 10 14 16 16 14 11 9 9 9 10 11 11 12 12 12 12 12 12 12 11 11 10 11 11 11 12 13 14 14 14 14 14 13 13 12 12 11 11 11 11 11 11 10 10 9 9 8 7 7 7 7 8 10 9 7 6 6 6 7 8 9 9 9 9 8 7 8 9 10 9 9 8 8 7 6 5 4 5 8 10 11 11 11 10 9 8 7 6 6 7 9 9 10 9 9 8 7 8 9 10 9 7 5 4 5 6 7 7 7 6 5 6 7 8 8 9 8 8 8 7 7 6 7 7 7 7 7 7 8 8 7 7 8 8 8 9 10 10 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 10 11 12 12 12 11 9 8 8 8 nan
nan 6 4 4 5 5 3 2 3 5 8 10 11 10 9 7 9 11 11 10 10 13 15 15 14 13 13 14 13 8 3 2 4 6 10 15 19 22 22 19 16 14 14 14 14 14 13 13 12 12 12 12 12 13 13 13 13 13 12 13 13 14 15 15 15 14 13 13 12 12 12 12 12 12 11 11 11 11 10 9 9 8 8 7 7 8 9 10 10 8 6 6 6 7 8 9 10 10 9 8 8 8 9 9 8 8 8 7 6 5 4 5 7 9 11 11 11 10 9 9 8 6 6 6 7 8 9 9 9 9 9 9 10 9 8 6 5 4 4 6 7 8 7 7 6 6 7 8 9 10 10 9 9 8 8 8 7 7 7 7 8 8 8 8 7 7 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 9 8 9 9 nan
nan 8 6 5 6 6 5 4 4 5 7 10 13 13 12 11 11 12 13 13 14 14 13 11 9 8 9 9 8 4 3 4 6 8 10 13 18 20 21 19 17 16 15 15 15 15 14 13 12 11 11 11 11 11 12 13 13 13 13 13 14 15 15 14 14 13 12 11 11 11 12 12 12 12 12 12 12 11 11 10 9 8 8 7 8 8 9 10 10 8 7 6 7 7 8 9 10 10 9 8 8 9 9 8 8 7 7 7 6 5 5 5 7 9 11 11 10 9 9 9 7 6 6 6 7 8 9 9 10 10 10 10 10 8 6 5 5 5 6 7 8 8 7 6 6 7 8 9 10 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 11 12 11 11 10 10 9 9 9 9 10 10 10 8 7 8 9 nan
nan 11 9 8 7 7 7 7 7 6 6 8 11 12 11 10 10 10 11 12 12 11 8 5 3 3 5 6 5 5 6 7 7 6 5 6 10 12 13 12 12 12 12 13 13 12 12 11 11 10 9 9 9 9 9 9 10 11 12 13 14 14 13 12 12 11 11 10 10 10 11 12 12 12 12 12 12 12 11 10 9 9 8 8 8 9 10 10 10 9 7 7 7 8 8 9 10 10 9 8 8 8 9 8 7 6 7 7 7 6 6 6 7 9 10 10 9 9 9 8 7 6 6 7 7 8 9 10 10 11 11 10 8 7 6 6 6 6 7 8 9 8 7 6 7 8 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 11 12 11 11 10 9 8 8 8 9 10 11 10 8 6 7 8 nan
nan 12 11 10 8 7 7 8 9 9 8 8 8 7 7 6 4 4 4 4 4 4 4 3 3 3 5 6 7 8 9 9 7 4 1 1 2 3 4 5 5 7 8 8 8 9 9 10 9 9 8 8 7 6 5 5 7 8 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 8 9 9 10 10 10 9 8 8 8 8 8 9 10 10 9 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 9 9 8 8 8 8 7 7 7 7 8 8 9 10 10 10 9 8 7 7 8 9 9 8 8 9 9 7 6 7 8 10 11 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 9 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 7 7 8 8 8 9 9 9 9 9 10 11 11 10 9 8 8 8 8 9 10 11 10 9 7 7 9 nan
nan 11 12 11 8 6 6 9 12 13 13 11 9 6 4 3 3 2 1 -0 0 1 3 4 5 5 6 7 8 8 9 9 8 5 2 1 1 1 3 4 6 6 6 6 6 7 8 9 9 9 9 8 7 6 5 5 6 7 9 9 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 9 8 8 7 7 8 8 8 7 8 8 9 9 9 10 10 9 8 6 6 8 10 11 11 11 10 9 8 7 7 7 9 11 11 11 10 9 8 8 8 8 7 6 7 8 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 8 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 10 9 8 8 10 10 10 9 8 8 9 9 10 10 10 10 10 9 9 9 10 nan
nan 10 11 10 7 5 7 11 15 17 17 15 11 7 6 6 7 7 6 4 4 4 4 5 4 5 6 5 4 4 4 5 7 7 7 7 7 8 10 12 13 12 11 9 9 9 10 10 10 9 9 9 9 8 7 7 7 8 8 7 7 7 7 8 9 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 8 8 8 8 9 9 8 7 7 7 8 9 8 8 9 9 9 9 9 9 9 8 7 6 7 9 10 11 11 11 11 10 9 8 7 8 9 10 11 11 10 9 8 8 8 8 7 6 7 9 10 11 10 10 10 10 9 9 8 8 9 9 9 9 8 8 8 8 8 7 6 6 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 9 10 10 9 7 6 7 9 10 11 10 10 9 9 10 10 10 10 nan
nan 13 11 7 4 4 6 11 16 19 19 17 13 10 10 12 12 12 11 10 8 6 5 5 5 6 6 5 3 2 2 3 5 7 10 11 13 15 18 20 19 17 15 14 13 13 13 12 12 11 11 11 11 11 10 10 10 9 8 8 7 7 8 9 10 10 11 11 11 11 11 11 11 11 11 11 10 9 8 9 10 10 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 10 9 8 8 8 9 9 8 8 8 8 8 8 7 6 7 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 10 10 10 10 10 11 10 10 9 9 8 8 8 9 10 10 9 9 9 9 8 8 8 8 9 9 9 9 10 11 11 10 9 8 8 8 8 8 8 8 8 9 9 8 7 7 6 7 7 7 7 7 7 8 8 9 9 9 9 8 8 9 10 11 10 8 7 6 7 9 10 10 10 9 9 9 10 11 10 10 nan
nan 16 10 7 5 4 6 10 15 18 18 17 15 12 11 13 14 14 13 10 7 5 4 5 7 9 9 8 6 5 4 4 6 7 9 12 14 16 18 18 16 14 13 14 14 14 14 14 13 13 13 13 14 14 13 13 12 10 9 8 8 8 9 10 11 11 12 12 12 12 12 12 13 13 12 12 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 9 11 11 11 10 10 9 9 9 9 8 7 8 8 8 7 6 6 7 8 9 10 9 10 10 9 8 8 7 7 6 6 7 8 9 10 10 10 10 10 10 10 10 10 10 9 7 7 8 9 10 10 9 9 8 8 9 9 9 9 8 8 10 11 12 12 11 9 8 8 8 7 7 8 8 9 9 8 8 7 6 6 7 7 8 7 7 8 8 9 9 10 10 10 9 10 10 10 11 10 9 8 8 8 9 9 9 9 9 9 9 10 11 11 10 nan
nan 12 9 9 10 8 7 8 12 14 15 15 13 10 9 10 12 12 11 9 6 3 4 6 8 11 12 12 11 10 9 8 8 8 9 10 12 12 11 9 7 6 8 10 11 12 13 13 14 14 14 15 15 15 15 14 13 11 10 9 9 10 10 11 12 12 13 13 13 13 13 14 14 13 13 12 12 11 11 11 11 10 9 9 10 10 10 10 10 11 10 9 9 9 8 8 7 7 9 11 12 12 12 12 11 11 10 9 8 8 8 7 7 6 5 5 6 8 9 10 10 10 9 9 8 7 7 6 6 6 7 7 8 9 10 10 10 10 10 11 11 11 10 9 7 7 8 9 10 11 10 9 8 8 9 10 10 9 9 9 10 11 12 11 11 10 9 8 8 8 8 8 8 9 8 8 7 6 6 6 7 7 8 8 8 8 9 9 10 10 10 10 10 10 11 11 10 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 nan
nan 3 5 13 16 14 10 6 6 6 7 7 6 6 6 7 8 9 9 8 6 5 5 7 10 11 12 14 14 13 12 11 9 9 9 9 9 8 5 2 1 2 5 7 8 10 11 12 13 14 14 14 14 14 14 13 13 11 11 10 11 11 11 12 12 13 13 14 14 14 13 14 14 13 12 12 12 12 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 8 7 7 10 12 13 13 13 13 12 12 11 11 10 9 8 7 6 5 5 6 7 8 9 10 10 10 9 9 9 8 7 6 6 6 7 7 7 9 10 10 10 10 11 12 11 10 9 8 8 8 8 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 9 9 9 10 10 10 10 10 10 11 11 11 10 9 10 11 11 11 11 11 10 9 9 8 8 8 8 9 9 nan
nan -0 5 14 19 15 9 3 -0 -1 1 2 3 3 4 5 6 7 9 9 8 8 9 10 11 11 10 10 11 11 11 11 10 10 10 10 9 8 6 4 3 4 6 8 9 10 10 11 11 12 12 12 13 13 13 12 12 12 11 11 11 11 11 12 12 12 13 13 13 13 12 12 13 12 11 11 12 12 12 11 10 9 9 9 10 9 9 10 10 9 9 10 11 11 11 10 9 9 11 12 13 14 13 13 12 12 12 12 11 9 8 7 6 5 6 7 9 9 10 10 10 10 10 10 10 8 7 6 6 7 7 7 8 9 10 11 10 11 11 11 11 10 9 8 8 8 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 7 7 6 6 7 8 9 9 10 10 10 10 10 10 10 11 11 11 10 9 9 10 10 11 11 12 12 11 10 8 7 6 7 7 8 9 nan
nan 3 6 13 16 14 8 2 -1 -0 2 4 6 6 5 5 7 8 9 9 9 10 11 11 10 9 7 5 5 6 7 8 10 10 11 12 12 12 12 10 9 9 10 10 11 11 10 10 9 9 10 10 11 12 12 13 13 12 12 12 12 12 11 11 11 12 12 12 12 11 10 10 10 10 10 11 11 12 11 10 9 9 9 9 10 9 9 9 9 9 9 10 11 11 11 11 11 11 12 12 13 12 12 12 12 12 12 12 11 10 9 8 7 7 8 10 11 11 11 10 10 10 11 11 10 9 8 8 8 8 8 9 9 10 11 11 10 11 11 11 10 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 7 7 8 8 8 8 7 6 6 6 7 8 9 9 10 10 10 10 10 10 10 10 11 10 9 8 8 8 9 10 10 10 11 11 10 9 7 7 8 8 9 10 nan
nan 6 7 10 11 10 7 4 3 4 5 8 10 11 10 10 10 10 10 9 8 8 9 8 7 6 5 5 5 6 7 8 10 11 13 15 17 17 16 14 12 12 12 12 12 10 8 7 6 5 6 9 10 12 13 14 14 14 14 13 13 13 12 12 12 12 11 11 10 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 10 10 9 9 9 9 9 10 9 10 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 10 9 9 8 8 10 11 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 7 7 8 10 10 9 8 8 9 10 10 11 nan
nan 7 8 9 9 9 8 7 7 7 7 8 10 11 12 13 13 12 10 8 7 6 6 5 6 6 6 8 9 10 9 10 11 13 16 20 21 20 16 13 12 12 12 11 10 7 4 2 2 2 4 7 10 13 15 16 16 15 15 14 14 14 13 13 13 12 12 11 9 9 9 9 9 9 10 11 11 10 10 10 10 10 10 9 10 10 10 9 9 10 10 8 8 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 9 10 10 11 11 10 9 9 10 10 9 10 11 12 11 10 9 8 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 10 10 9 9 8 8 8 8 9 8 8 8 8 7 7 6 6 6 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 7 6 6 7 9 10 10 9 9 9 9 10 11 nan
nan 7 8 10 10 10 9 9 9 9 7 6 6 7 8 10 11 10 9 8 8 7 6 6 6 6 7 9 10 10 10 11 12 15 20 24 24 20 15 12 10 9 9 8 5 3 1 1 1 3 5 8 12 14 16 17 17 16 16 15 15 15 14 14 13 13 13 11 10 9 9 10 9 9 10 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 10 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 9 8 8 8 8 8 9 9 9 8 9 10 10 10 11 11 11 10 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 7 7 8 9 10 10 10 9 8 8 9 10 nan
nan 6 6 7 8 9 8 7 7 7 6 4 3 4 5 5 5 5 6 7 7 8 7 7 6 6 7 7 7 7 8 9 12 15 21 26 24 19 14 10 7 6 5 3 2 1 2 4 5 6 8 10 12 15 17 18 18 18 17 17 16 16 15 15 14 14 13 12 11 11 10 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 11 10 10 9 8 7 7 7 7 7 8 8 9 9 10 11 11 11 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 9 9 10 10 10 9 9 9 9 8 8 8 9 nan
nan 8 7 6 7 7 6 4 3 3 3 2 2 3 4 3 3 4 5 5 6 6 6 7 7 7 6 5 5 6 6 7 9 12 18 21 20 16 11 7 4 2 2 2 3 4 6 8 9 9 10 11 13 16 19 20 20 19 18 17 17 16 16 16 16 14 13 12 12 11 11 11 11 10 10 10 10 10 11 11 10 9 8 8 8 9 10 11 11 11 11 11 10 10 10 9 9 10 11 12 12 12 12 12 12 12 11 10 9 8 7 7 7 7 6 7 7 8 9 10 11 11 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 9 9 10 10 11 11 10 9 8 8 8 8 8 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
963 868 581 242 47 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 7 23 42 50 49 42 39 43 46 36 16 2 0 0 0 0 0 5 12 16 18 22 26 34 47 60 81 114 170 336 655 1084 1650 2196 2637 2915 2989 2881 2639 2373 2264 2369 2530 2577 2519 2414 2357 2283 2117 1920 1746 1576 1430 1305 1146 937 733 606 487 362 250 180 147 129 110 95 85 75 62 46 27 16 9 2 2 3 5 7 14 31 46 49 46 46 48 48 50 52 52 53 58 58 60 64 67 70 74 79 81 76 69 66 62 62 65 66 66 67 68 70 73 76 81 89 91 82 67 52 43 38 35 33 33 29 28 27 27 27 25 23 20 19 22 25 28 29 29 29 29 29 32 36 46 63 88 116
675 377 186 67 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 26 21 16 15 25 30 20 6 1 0 0 0 0 0 1 8 17 21 26 37 48 54 60 73 97 139 228 433 755 1187 1705 2185 2551 2790 2906 2913 2784 2568 2423 2430 2559 2673 2767 2577 2483 2356 2134 1933 1778 1660 1529 1357 1156 950 778 657 560 449 315 218 166 138 119 107 94 77 60 41 24 18 11 1 3 3 5 6 12 30 43 45 46 48 48 48 52 55 55 57 59 61 65 71 73 76 80 84 86 79 66 63 60 57 60 66 69 71 72 73 73 73 74 77 78 71 57 44 38 34 30 27 26 25 26 28 29 27 23 15 7 6 12 15 19 22 24 24 23 24 27 29 34 45 61 81
230 81 30 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 3 1 0 1 0 1 0 0 0 0 0 0 0 3 13 23 29 43 59 70 76 85 97 117 168 292 524 842 1266 1756 2183 2491 2691 2812 2892 2871 2736 2583 2487 2540 2635 2862 2752 2600 2390 2122 1969 1866 1744 1586 1408 1208 992 826 708 611 505 373 255 180 142 121 104 88 73 57 37 19 18 13 1 3 2 4 6 16 30 39 43 45 46 46 47 53 57 59 62 67 71 74 79 81 86 88 86 85 79 66 61 57 55 57 62 66 70 70 70 71 71 73 73 70 59 46 37 33 28 24 24 24 24 26 26 27 28 23 12 2 1 1 6 10 14 18 19 18 17 18 20 24 30 43 58
88 60 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 19 33 49 74 91 96 100 109 121 143 206 350 601 916 1345 1823 2199 2456 2618 2730 2851 2890 2814 2718 2616 2537 2534 2752 2789 2649 2423 2164 1995 1869 1747 1613 1448 1247 1042 879 758 670 571 449 312 206 155 131 111 98 79 54 36 19 18 14 3 3 2 4 8 18 29 37 42 44 43 44 47 52 59 63 67 77 81 83 84 89 94 95 92 87 77 64 59 59 58 58 60 63 65 64 67 74 78 77 69 57 47 39 34 30 24 22 22 22 22 22 21 18 17 16 10 2 1 2 2 7 12 17 16 11 10 13 15 16 20 30 40
63 15 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 1 1 0 0 0 0 0 0 0 0 1 5 13 22 25 20 18 23 42 80 112 122 119 117 125 140 172 250 402 657 990 1425 1863 2187 2391 2520 2633 2776 2854 2850 2834 2786 2703 2596 2652 2708 2637 2485 2249 2032 1878 1766 1666 1511 1287 1080 933 823 746 648 533 390 256 177 141 114 95 77 54 36 20 16 13 4 2 2 5 10 18 27 35 40 42 41 42 44 52 61 64 70 82 87 91 93 96 96 94 91 82 68 57 54 58 58 57 59 60 63 71 81 89 87 77 61 46 40 36 30 25 23 22 22 22 18 15 15 15 16 14 6 0 2 4 8 11 11 10 6 3 3 6 9 11 12 18 20
64 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 0 0 0 0 1 3 10 20 35 47 46 40 33 25 43 103 136 142 136 131 138 157 200 294 462 713 1058 1477 1846 2128 2299 2403 2522 2682 2799 2841 2875 2921 2889 2742 2659 2649 2667 2613 2403 2126 1911 1787 1694 1546 1329 1126 993 912 836 738 617 482 317 206 153 117 93 74 54 35 20 14 6 0 1 2 5 9 16 27 36 41 41 41 41 43 53 62 64 73 81 89 94 98 97 92 88 84 77 66 61 55 60 61 61 63 66 78 94 101 94 82 70 55 42 39 33 25 23 22 22 23 21 17 14 14 13 14 11 6 0 0 2 7 7 4 1 1 1 1 1 1 1 2 4 2
41 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 0 0 0 0 0 1 8 19 29 43 60 71 70 56 43 33 51 115 154 163 159 152 156 178 230 335 521 784 1124 1498 1811 2047 2197 2284 2403 2577 2712 2751 2768 2849 2934 2899 2789 2692 2735 2744 2554 2233 1966 1851 1750 1574 1356 1162 1058 990 930 824 692 551 380 246 170 125 92 70 54 36 19 9 1 0 1 2 5 8 15 28 39 42 42 42 44 49 57 64 67 71 77 87 95 99 97 91 86 84 83 76 68 69 73 71 70 77 87 98 103 94 76 65 59 50 40 37 29 23 22 22 21 20 17 15 12 8 5 2 0 0 0 0 0 1 1 1 1 1 2 2 2 2 1 1 2 4
11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 9 5 2 0 0 2 9 22 37 47 57 70 80 79 61 47 39 78 141 185 202 203 197 197 221 284 411 614 868 1179 1500 1760 1947 2055 2127 2277 2483 2627 2660 2666 2742 2854 2897 2851 2769 2817 2880 2668 2329 2051 1912 1786 1607 1415 1244 1134 1066 1006 907 780 622 438 277 185 136 106 83 58 34 17 9 0 0 2 2 5 9 14 27 40 44 43 44 50 58 63 66 69 70 75 83 93 100 100 95 89 85 84 85 77 79 86 95 105 109 112 112 102 82 63 58 52 43 39 37 27 24 22 21 19 16 15 13 7 1 0 0 0 0 0 0 1 3 2 1 1 2 2 2 3 3 2 2 13 25
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 1 3 8 14 16 15 10 0 0 4 26 35 50 53 59 77 86 73 61 54 59 107 167 214 249 266 270 279 312 381 501 681 920 1207 1482 1689 1824 1905 1996 2228 2456 2585 2605 2579 2616 2737 2814 2834 2855 2856 2880 2653 2389 2148 1970 1831 1671 1487 1329 1212 1128 1050 955 830 670 475 299 207 156 117 80 47 31 17 10 0 0 2 3 5 10 15 26 38 45 46 51 61 69 72 74 75 75 76 79 89 97 99 97 93 88 87 90 88 91 99 105 107 111 118 117 105 82 61 55 46 41 38 35 28 24 21 17 13 9 6 5 6 0 0 0 0 0 0 0 3 4 2 1 1 2 3 3 3 3 3 3 12 25
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