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 6 7 8 9 8 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 7 7 7 8 7 6 6 6 7 7 7 8 9 9 9 9 9 10 10 10 11 11 10 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 5 6 7 8 9 10 10 10 9 9 10 10 11 10 6 2 1 4 10 13 14 13 13 12 12 12 13 13 12 12 12 12 12 12 11 11 11 11 12 12 13 13 13 13 13 12 11 11 10 10 9 9 8 8 7 7 7 7 7 6 6 5 5 5 6 6 6 7 8 8 9 10 11 11 12 12 12 11 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 6 6 6 7 7 nan
nan 7 7 8 9 9 8 7 7 7 7 7 6 7 7 7 6 6 7 8 8 8 8 7 7 8 8 8 7 6 6 6 7 8 9 9 9 8 8 8 9 10 11 11 10 9 8 7 6 6 6 7 8 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 7 8 9 10 10 9 9 9 9 9 8 6 2 -1 -1 4 10 12 12 12 13 13 13 13 13 13 14 14 14 14 13 13 13 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 10 9 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 8 9 10 10 11 12 13 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 nan
nan 7 7 8 9 9 8 8 7 7 7 7 6 7 7 7 7 6 6 7 7 8 7 7 8 8 9 8 7 6 5 6 8 9 9 9 8 8 9 10 10 11 10 9 8 7 6 6 6 6 5 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 7 8 9 10 10 9 9 8 8 7 6 3 -2 -4 -2 4 7 9 10 11 11 12 12 13 13 14 15 15 15 15 14 15 14 14 14 13 13 13 13 13 13 13 13 12 12 12 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 11 11 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 nan
nan 8 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 9 9 9 8 6 6 7 9 10 9 9 9 10 11 12 11 10 9 8 7 7 7 7 7 6 5 5 5 5 6 7 7 8 8 8 8 8 8 8 7 7 7 7 6 5 6 7 8 9 9 10 10 9 8 8 7 5 1 -4 -4 -1 2 5 7 9 9 10 11 12 13 14 14 15 16 16 16 16 16 16 16 16 15 15 15 14 14 14 14 13 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 10 9 9 9 8 8 8 7 nan
nan 8 7 8 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 8 9 10 10 9 8 8 9 10 11 11 11 12 12 12 11 10 9 8 7 7 8 8 8 8 7 6 5 5 5 5 5 5 6 6 7 7 8 9 9 8 7 7 7 6 6 6 7 8 8 9 10 10 9 9 8 8 7 5 1 -2 -3 -2 1 5 7 8 8 10 11 12 13 14 15 16 16 17 17 18 18 18 18 18 18 18 17 17 16 16 15 15 14 13 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 10 11 11 11 10 10 11 11 11 11 12 12 11 11 11 10 10 10 10 10 11 12 14 14 13 13 12 12 12 12 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 nan
nan 8 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 10 11 11 12 12 12 13 13 12 10 9 8 7 7 8 8 9 9 9 9 8 7 6 6 6 5 5 5 5 5 5 6 7 8 9 9 8 8 7 6 6 6 7 8 8 8 9 10 10 10 9 8 8 7 5 3 0 -2 -1 2 4 6 7 8 9 11 12 12 13 14 15 16 17 17 18 19 19 19 19 19 19 19 19 18 18 17 16 16 15 15 14 14 13 13 12 11 10 9 9 9 8 8 8 9 9 10 11 12 12 13 13 13 12 12 12 11 11 10 9 9 9 9 9 10 11 11 12 11 11 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 7 6 6 7 7 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 9 9 10 11 11 11 11 11 11 12 12 12 12 12 12 10 9 8 7 7 7 7 8 8 9 10 9 9 8 7 7 7 6 5 5 5 5 5 5 6 7 8 9 9 9 8 7 5 6 6 7 8 8 8 9 10 10 9 8 8 8 8 6 4 2 0 0 2 4 5 6 7 9 10 11 12 13 13 14 15 16 16 17 18 18 19 19 20 20 20 20 19 19 18 18 17 17 16 16 16 15 14 13 12 11 10 10 9 8 8 8 9 10 11 13 13 14 13 13 12 11 11 10 10 10 9 9 9 10 9 10 10 9 9 8 8 7 7 7 7 7 8 10 11 11 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 nan
nan 8 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 10 11 12 12 11 11 11 11 11 11 10 10 10 9 8 7 7 7 8 7 7 7 7 8 9 9 8 7 7 6 6 6 6 6 6 6 6 6 5 6 7 8 9 10 9 8 6 6 6 7 7 7 7 8 9 10 9 9 8 8 8 8 7 6 4 2 2 2 2 3 4 6 9 10 11 11 12 13 13 14 14 15 16 16 17 18 19 20 20 20 20 20 20 19 19 18 18 18 18 18 17 16 15 15 14 13 12 11 10 10 11 12 13 14 14 14 14 12 11 11 10 10 10 11 11 11 11 11 11 11 10 10 9 8 7 7 6 6 6 6 7 8 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 nan
nan 8 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 9 10 10 11 11 11 11 10 10 10 10 10 9 8 8 8 7 7 6 6 7 7 8 7 7 6 7 7 8 7 6 6 5 5 5 5 6 6 6 7 7 7 6 6 6 6 7 9 10 9 8 6 6 6 7 7 6 7 8 9 9 8 8 8 8 8 8 8 7 6 5 3 2 0 1 4 7 9 10 10 11 11 12 12 12 13 14 15 15 16 17 18 19 20 20 21 21 20 20 19 19 19 19 18 18 18 18 17 17 15 14 13 12 12 12 13 13 15 16 15 14 13 12 11 11 11 11 12 13 13 13 12 12 12 12 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 8 8 9 9 9 10 11 11 11 10 10 10 10 10 10 10 nan
nan 8 7 7 7 6 6 7 7 8 8 9 9 8 8 8 8 9 10 11 11 11 11 11 10 9 9 9 9 9 9 8 7 6 6 6 6 6 6 7 7 7 7 7 6 6 7 7 6 6 5 5 5 6 6 6 6 7 7 8 8 7 6 6 5 6 7 8 9 9 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 6 4 1 -1 0 4 7 8 9 10 10 11 11 12 12 12 13 14 15 15 16 17 18 19 20 20 20 20 19 19 19 18 18 18 18 18 18 18 17 16 15 14 13 13 12 13 14 15 14 13 12 11 11 10 11 11 12 13 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 8 8 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 nan
nan 8 7 7 6 6 6 7 8 8 8 8 9 8 8 8 9 10 11 11 11 11 11 10 9 8 8 9 9 9 8 7 6 6 6 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 7 8 8 6 6 6 6 6 6 7 7 7 8 8 9 8 8 8 9 9 9 8 8 6 3 0 -1 -0 2 4 7 8 10 11 11 11 11 12 12 13 13 14 15 16 17 17 18 19 19 19 18 18 18 18 17 16 16 17 17 17 17 17 17 16 15 14 13 12 12 12 11 10 9 8 9 9 9 10 11 12 12 12 11 11 10 10 11 11 11 12 12 13 13 14 13 13 12 11 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 nan
nan 8 7 7 6 6 6 6 7 8 9 9 8 8 9 9 10 11 11 11 10 10 10 9 9 9 8 8 8 8 7 6 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 7 7 6 6 5 5 5 6 7 6 5 5 6 6 6 7 7 7 8 9 10 9 8 9 9 10 9 8 8 7 6 3 0 -2 -3 -1 2 6 9 10 11 11 11 11 11 11 12 12 13 14 15 16 17 18 17 17 17 18 18 18 17 16 16 16 16 17 17 17 16 16 16 15 14 12 11 10 9 8 7 7 7 8 8 9 9 10 10 10 9 9 8 8 9 9 10 10 11 12 13 14 13 13 13 13 12 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 nan
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nan 8 9 8 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 5 5 4 4 4 5 7 8 9 9 9 8 8 7 7 9 10 10 10 10 10 10 10 9 8 8 8 7 6 4 1 -3 -5 -3 2 6 9 9 9 9 9 9 10 10 10 11 12 13 14 15 16 17 18 19 21 21 20 18 16 15 14 13 13 13 13 13 12 11 10 9 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 9 10 11 12 13 13 14 14 13 13 12 11 10 9 9 9 8 8 7 8 8 8 7 7 8 8 8 8 8 nan
nan 8 9 9 9 9 8 8 8 8 8 8 9 10 10 10 11 11 11 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 9 9 8 8 7 6 6 5 5 5 5 7 7 8 9 10 9 9 7 6 7 8 9 9 9 10 11 12 12 11 9 9 9 9 9 8 7 3 -2 -4 -2 3 7 8 8 8 8 9 9 9 10 10 11 12 13 14 15 16 17 19 21 21 20 19 17 15 14 13 13 13 12 11 10 9 8 8 7 7 7 6 6 7 7 7 7 6 5 5 5 5 5 6 6 6 6 7 7 9 10 11 12 13 13 14 14 13 13 12 12 11 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 6 nan
nan 7 8 9 9 9 9 9 8 9 9 9 9 10 10 10 10 11 10 9 9 9 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 9 9 8 8 7 6 6 5 6 6 7 8 7 8 8 9 8 8 8 7 7 8 9 9 9 10 11 13 13 12 11 10 11 11 11 11 10 8 3 -3 -4 -1 4 7 7 7 7 7 8 8 9 9 10 11 12 13 13 15 16 17 19 20 20 19 18 17 16 15 14 13 12 11 9 8 8 7 7 7 7 7 7 7 7 6 6 5 4 3 3 3 4 4 5 4 5 5 6 7 9 10 11 11 12 13 13 13 13 13 13 12 12 12 11 11 10 11 11 10 10 9 9 8 7 7 7 7 nan
nan 8 9 9 9 9 9 9 9 9 10 10 9 9 9 10 11 11 10 9 9 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 9 8 7 7 7 7 7 7 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 7 6 6 7 7 7 7 8 8 8 9 9 9 8 9 10 11 12 11 10 10 10 11 12 11 11 10 6 0 -4 -3 1 5 6 5 5 6 6 7 8 8 9 10 10 11 12 13 14 15 16 17 18 19 19 18 17 16 15 15 14 13 11 10 9 8 7 7 7 7 8 7 7 6 5 4 3 3 3 3 3 4 4 4 3 4 4 5 6 7 8 9 10 11 12 12 13 13 14 14 13 13 13 12 12 12 12 12 11 11 10 10 9 8 8 8 nan
nan 8 9 9 8 8 9 9 10 10 10 10 9 8 8 10 11 11 10 9 8 8 8 9 9 8 8 8 8 8 8 7 8 8 8 9 9 9 9 8 7 7 6 6 7 7 8 8 8 8 7 7 7 8 8 8 8 9 8 8 7 7 7 6 6 7 7 7 7 8 7 7 6 5 5 6 6 6 7 8 9 9 9 8 8 8 8 9 9 9 9 9 9 10 11 11 10 10 8 3 -3 -5 -3 1 3 4 4 4 5 5 6 7 8 9 9 10 10 11 11 12 13 14 15 16 17 17 17 16 16 16 16 16 15 13 12 10 8 8 7 7 7 7 6 6 5 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 5 6 8 9 10 11 12 13 14 14 14 14 14 14 13 13 13 13 12 12 12 11 10 10 10 nan
nan 9 8 9 9 9 10 10 10 11 10 9 9 8 9 10 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 6 7 7 8 8 8 8 8 7 7 6 6 7 7 7 8 8 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 7 7 8 9 9 9 8 7 7 7 7 8 8 8 9 10 11 11 11 10 9 6 1 -4 -5 -4 -1 1 2 2 2 3 4 6 7 7 8 8 9 9 9 9 9 10 11 12 13 13 14 14 15 16 17 17 17 16 15 13 11 10 9 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 4 3 3 2 2 2 3 4 5 6 7 9 10 11 12 13 14 14 14 15 15 15 15 14 14 14 14 14 13 12 12 nan
nan 8 8 9 10 10 10 10 10 10 10 9 9 9 9 10 11 10 9 9 9 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 8 8 9 9 8 7 7 7 7 7 7 6 6 6 7 7 8 8 8 9 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 5 5 5 6 6 8 9 9 9 8 6 6 6 6 7 8 8 8 9 10 11 11 10 9 8 6 1 -3 -5 -5 -3 -2 -2 -3 -2 0 3 6 7 7 8 8 7 7 7 7 7 8 8 9 10 10 11 12 14 15 16 17 18 17 16 14 13 11 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 4 2 2 2 2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 16 16 16 15 15 15 15 14 13 nan
nan 8 9 9 10 9 9 10 10 9 9 9 9 9 9 10 11 10 9 9 8 8 8 8 7 7 7 9 10 10 10 9 9 8 8 8 8 8 9 10 9 9 8 8 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 5 5 5 5 6 8 9 9 8 7 6 5 5 7 8 8 8 8 9 10 10 9 8 8 9 7 3 -0 -2 -2 -2 -4 -5 -6 -5 -1 3 5 6 7 7 7 7 6 6 6 6 6 7 7 8 8 9 10 11 13 15 17 18 17 16 15 13 11 10 8 7 7 7 7 6 6 7 7 6 6 6 7 6 6 6 5 4 4 3 3 2 2 3 3 4 4 5 5 6 7 8 10 12 14 15 16 16 16 16 16 16 15 15 14 nan
nan 9 9 10 10 9 9 9 9 8 8 9 9 9 9 10 10 9 9 8 8 8 8 8 8 7 8 9 10 11 12 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 7 6 5 6 7 7 7 7 7 7 7 8 8 7 7 6 6 6 5 5 5 6 8 9 8 8 6 5 5 6 7 7 7 7 8 9 9 8 7 8 9 9 8 6 4 3 3 1 -3 -7 -9 -5 0 3 4 5 6 7 6 6 6 5 5 6 6 6 7 7 7 8 9 10 11 14 15 16 16 16 15 13 11 9 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 6 6 5 5 4 3 3 3 3 3 3 3 3 3 4 5 7 9 10 12 13 14 15 16 16 16 16 15 15 nan
nan 9 10 11 11 10 9 8 7 7 7 8 8 9 9 11 11 10 9 8 8 8 8 8 8 8 9 9 11 12 13 13 12 11 10 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 7 6 5 5 5 5 5 6 7 8 7 6 5 6 7 7 7 8 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 7 8 7 6 5 5 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 6 3 -3 -8 -7 -4 -1 2 4 5 6 6 6 6 5 5 5 6 6 7 7 7 7 7 8 9 10 12 13 14 15 15 15 14 12 11 10 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 4 3 3 2 2 2 2 3 3 4 5 7 8 9 10 12 13 14 15 15 15 15 15 nan
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nan 9 10 10 10 9 8 7 6 6 6 7 8 8 9 10 11 11 10 10 10 10 9 9 9 10 10 8 6 4 2 1 1 3 4 5 5 5 6 6 7 7 7 6 7 8 9 9 9 8 7 6 6 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 6 6 6 4 1 -2 -5 -5 -4 -0 3 5 5 5 4 4 5 6 7 8 8 8 8 8 8 7 6 6 6 6 7 8 10 11 12 13 14 14 14 13 11 10 9 8 8 7 7 6 6 5 5 4 4 3 3 3 3 3 3 3 2 3 3 3 3 4 4 5 6 7 7 8 9 10 10 10 10 9 nan
nan 8 8 9 10 10 9 7 6 6 6 6 7 7 8 8 9 10 10 9 9 10 10 10 10 10 9 7 5 3 3 3 4 6 6 6 6 6 6 6 7 7 6 6 6 7 9 10 9 8 8 7 7 6 6 6 5 5 4 4 3 3 4 4 5 5 5 5 5 6 6 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 6 6 7 7 7 7 7 6 7 7 6 5 3 -0 -3 -5 -4 -1 2 4 3 2 3 4 5 7 8 8 8 8 8 8 7 7 7 6 6 6 7 7 8 9 11 12 13 14 14 13 12 11 10 9 8 8 7 7 6 6 5 5 4 3 3 3 3 3 3 2 2 2 3 3 3 3 4 5 5 6 7 7 8 9 9 9 8 nan
nan 8 8 8 9 10 10 8 8 7 7 7 7 8 7 8 9 10 10 9 9 10 10 11 10 9 8 6 5 5 5 7 8 8 7 6 6 6 6 7 7 7 6 6 6 7 9 11 11 10 8 8 8 8 7 7 6 6 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 4 2 -1 -3 -2 1 3 2 -0 -1 0 3 6 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 8 9 10 11 12 13 13 13 12 11 10 9 9 8 8 7 7 6 6 5 5 4 4 4 4 3 3 3 3 3 3 2 3 3 4 4 4 5 5 6 7 7 7 7 nan
nan 10 10 10 10 11 12 11 10 10 9 9 9 8 8 8 9 9 9 9 9 10 11 10 9 7 6 5 5 6 7 8 8 7 6 5 6 6 7 7 7 7 7 6 7 7 9 11 12 12 9 9 9 9 8 8 7 7 7 6 6 6 7 7 6 6 5 5 4 4 5 6 6 7 6 6 7 7 7 7 7 7 7 7 6 5 5 6 7 7 7 7 7 7 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 8 7 6 6 6 5 4 2 2 3 4 2 -1 -4 -4 0 6 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 10 11 12 13 12 11 11 10 10 9 9 8 8 7 7 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 nan
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nan 9 8 7 7 8 8 8 8 9 9 8 7 7 8 8 8 7 6 6 6 6 6 5 5 6 7 8 9 10 10 10 11 11 12 11 10 9 8 8 8 7 7 6 6 7 8 10 12 13 12 10 8 7 7 7 8 8 9 9 9 9 9 10 10 9 8 5 3 2 4 6 7 7 7 8 9 9 9 8 7 7 6 5 6 7 8 8 8 8 9 8 8 7 7 7 7 6 5 5 4 4 4 5 6 6 6 6 7 8 7 6 6 5 5 5 5 5 6 6 3 -2 -5 -2 3 6 6 5 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 8 7 6 5 5 4 3 3 2 2 2 2 2 2 nan
nan 8 8 8 8 8 8 8 7 7 7 6 6 7 8 8 7 7 7 7 7 8 7 7 7 7 8 8 8 9 9 10 10 10 10 10 9 8 8 8 8 7 7 6 6 7 8 9 11 13 13 11 9 8 8 8 8 8 8 8 8 8 9 9 10 10 8 5 3 3 4 7 9 9 8 9 9 9 9 8 8 8 7 6 5 6 8 8 8 8 8 8 8 7 7 7 7 7 6 5 5 5 5 5 5 5 6 7 8 8 8 8 7 6 6 5 5 5 5 4 2 -1 -1 3 6 7 5 3 3 5 6 6 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 9 9 9 9 8 8 9 9 10 10 10 10 10 9 8 7 6 5 4 3 2 1 1 1 1 2 nan
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nan 7 8 9 9 10 11 11 11 11 11 10 9 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 7 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 9 10 10 9 8 8 8 7 6 6 7 8 9 9 9 9 8 7 6 7 8 9 10 9 9 9 9 9 9 8 7 6 5 5 5 6 7 8 8 7 6 6 6 7 8 7 7 7 7 8 9 10 11 11 10 9 9 9 9 9 9 9 9 10 10 10 9 10 10 11 11 11 11 10 10 10 10 11 12 13 14 14 12 11 11 11 12 12 12 12 12 13 14 15 17 18 18 17 15 14 15 16 17 18 18 18 17 16 14 14 14 15 15 14 14 13 12 10 8 7 6 5 5 6 7 10 13 15 18 19 19 19 19 19 19 nan
nan 8 9 10 11 12 12 12 12 11 11 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 6 5 7 8 9 9 8 9 10 10 8 6 7 8 8 8 9 8 8 7 7 7 8 10 11 11 10 9 9 9 9 9 8 7 7 7 7 8 8 8 7 6 5 6 7 9 10 11 10 8 8 8 9 10 11 11 10 9 8 9 9 9 9 10 10 11 11 11 11 11 12 13 12 12 11 10 10 9 9 9 10 12 13 14 15 14 14 13 12 11 10 10 10 11 12 12 12 12 12 12 11 9 7 5 5 6 7 9 10 11 11 13 16 17 17 16 15 14 13 11 9 7 6 6 5 5 5 7 8 10 12 14 15 15 15 16 16 16 nan
nan 9 10 11 12 12 12 12 12 11 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 11 10 8 5 5 7 8 9 9 9 10 11 10 8 6 7 7 7 7 8 8 7 7 8 9 9 10 10 10 9 8 9 9 10 9 8 7 8 9 10 11 11 10 8 7 7 9 11 13 13 12 11 11 11 13 13 12 11 10 9 9 9 9 9 9 10 11 12 13 13 12 12 13 14 14 14 12 11 11 10 10 9 10 10 11 12 13 13 13 13 13 12 10 9 9 9 10 11 11 11 10 10 11 11 11 9 6 3 1 1 1 1 3 5 7 10 13 13 13 12 12 11 11 10 9 9 9 9 9 8 8 8 9 10 10 11 12 13 14 14 14 nan
nan 11 11 12 12 12 11 11 11 11 10 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 10 10 10 10 8 7 6 7 8 8 9 9 10 10 9 7 6 6 7 7 7 8 8 8 9 10 10 9 8 8 8 7 8 10 11 10 8 7 8 9 10 12 13 12 11 9 8 9 11 12 13 13 12 12 14 15 17 15 13 11 10 9 9 9 9 9 9 10 11 13 13 13 12 12 12 13 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 9 10 11 11 11 11 12 13 15 16 15 12 9 7 6 5 6 7 8 8 8 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 9 8 7 8 10 12 13 14 13 nan
nan 12 12 12 12 11 11 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 9 10 10 10 9 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 8 8 9 9 10 10 9 7 5 4 5 6 8 9 11 11 9 8 8 9 10 11 12 12 10 8 7 8 10 12 13 13 12 12 14 15 16 15 14 12 10 9 9 9 9 9 9 10 11 12 13 13 12 11 11 11 11 12 12 12 12 11 11 11 11 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 13 15 17 19 20 19 18 17 17 18 19 18 16 15 16 16 17 16 15 14 13 12 11 11 11 13 15 16 15 12 8 6 6 8 10 12 13 14 nan
nan 13 13 13 11 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 7 6 6 6 6 6 7 8 9 10 10 10 9 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 8 7 5 2 -1 -2 -0 2 6 8 9 9 9 8 8 10 11 11 11 11 9 7 6 6 9 12 13 14 13 12 12 13 14 14 12 11 10 10 10 9 9 9 10 10 12 12 13 13 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 11 12 12 11 12 12 13 13 13 12 11 12 13 15 18 20 21 21 22 22 23 23 23 23 23 23 22 22 21 19 17 15 14 13 13 15 17 20 19 16 12 9 7 7 9 10 12 14 nan
nan 14 13 12 10 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 8 8 7 7 7 8 8 8 7 6 6 6 7 9 10 9 8 7 7 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 7 4 1 -1 -3 -5 -4 -2 1 4 5 5 5 5 5 7 9 11 11 11 10 9 7 6 7 9 12 14 15 14 13 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 10 10 11 11 12 14 15 14 14 14 13 13 13 12 11 10 11 12 13 15 16 16 17 17 17 18 18 19 20 21 21 22 23 22 21 19 19 19 18 15 14 16 18 18 16 13 11 10 10 11 12 13 nan
nan 13 12 10 9 9 9 9 9 8 8 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 8 10 11 11 10 9 9 10 10 8 7 6 7 9 10 10 9 7 6 6 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 7 2 -3 -6 -6 -4 -1 2 5 7 8 7 6 5 4 5 7 8 10 9 8 8 7 7 7 9 12 14 15 15 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 11 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 10 11 12 12 12 12 12 14 14 15 15 15 13 13 13 12 12 11 11 11 11 11 12 12 12 12 11 12 12 13 13 14 14 15 17 18 19 19 20 22 21 16 13 12 15 18 19 18 16 14 13 12 13 13 nan
nan 10 9 8 8 9 9 8 8 7 7 6 6 5 5 5 5 6 7 7 8 8 8 8 7 7 8 9 11 11 11 11 12 13 12 10 8 8 8 10 11 10 8 6 5 6 8 8 8 8 7 7 8 8 8 9 9 9 9 10 10 9 4 -2 -5 -5 -1 3 6 9 11 12 12 11 9 8 8 8 8 8 6 4 3 4 5 6 8 11 13 13 12 11 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 9 8 7 6 5 5 5 5 6 8 9 9 9 10 10 10 10 10 10 11 12 12 12 12 11 12 12 13 13 15 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 13 14 14 16 18 19 17 15 13 15 18 19 20 19 19 17 15 13 13 nan
nan 8 7 7 8 8 8 8 7 7 6 5 5 5 5 5 6 7 7 9 9 9 9 8 7 6 6 7 8 8 8 10 13 15 15 12 10 9 9 9 10 9 8 7 6 7 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 7 3 1 0 3 8 10 12 13 13 14 13 12 11 11 11 10 9 8 5 2 1 1 2 4 8 10 10 10 9 8 7 7 8 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 8 7 7 7 6 5 5 5 6 8 9 10 10 10 11 11 11 10 10 11 11 11 12 11 11 11 11 11 11 12 14 14 14 14 13 12 12 12 11 11 11 11 12 13 13 13 12 11 10 9 9 9 9 9 10 11 11 11 12 13 15 16 15 14 15 16 17 18 19 20 19 16 14 12 nan
nan 8 7 7 7 7 7 7 7 7 6 6 6 5 5 6 7 7 8 9 9 9 9 8 6 5 5 6 6 5 4 6 10 15 16 16 13 11 8 8 9 8 8 7 8 8 9 9 8 7 6 6 6 7 8 9 10 10 10 10 10 9 8 8 9 12 14 15 16 16 15 14 13 12 11 11 11 11 11 9 7 5 4 4 4 4 5 5 5 5 6 7 8 8 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 9 7 6 5 5 6 7 8 8 9 11 12 11 10 9 9 10 11 10 10 10 10 11 11 11 11 11 11 10 10 10 12 12 13 14 14 13 13 13 12 11 10 10 11 11 13 15 14 13 12 10 9 9 9 9 9 10 10 10 10 10 11 11 12 13 14 14 14 13 14 15 17 17 15 13 11 nan
nan 9 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 5 5 5 6 6 4 2 3 6 12 17 18 16 12 7 5 7 8 9 8 8 9 9 9 8 6 5 5 6 7 8 9 9 10 10 10 10 11 11 12 13 15 16 16 17 17 16 14 12 12 12 12 11 11 11 11 10 10 10 9 8 7 5 3 2 3 5 7 8 8 7 6 5 5 6 6 7 8 8 9 9 10 10 10 10 9 8 7 6 6 6 7 8 10 12 13 14 14 13 11 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 9 10 10 10 11 13 13 14 14 14 12 10 10 9 9 10 12 13 14 13 12 10 9 9 8 9 9 10 10 10 10 10 10 10 11 12 14 16 15 13 11 11 12 12 11 10 10 nan
nan 10 9 8 8 8 7 8 8 9 9 9 8 8 8 7 8 8 8 7 7 7 8 8 7 7 7 7 7 5 3 2 4 9 15 18 18 13 7 6 7 8 9 8 8 8 8 8 7 6 5 6 6 7 8 9 9 10 10 10 11 11 12 12 12 13 13 13 13 12 12 12 12 13 13 13 12 12 12 12 11 11 12 11 11 10 8 6 5 4 4 3 3 4 4 4 5 5 6 6 6 7 8 9 10 10 10 9 8 7 8 9 10 11 11 10 11 12 14 14 14 13 12 11 10 10 9 9 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 10 12 12 13 14 12 10 9 8 8 8 9 10 11 12 13 12 11 10 9 9 9 9 9 9 10 10 9 9 9 10 13 15 17 16 14 11 9 9 8 8 8 8 nan
nan 11 10 10 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 7 5 4 3 3 6 12 16 18 16 11 8 7 7 8 7 7 6 6 6 7 7 6 7 7 8 8 9 9 9 10 10 11 12 12 11 11 11 10 8 7 7 8 10 13 14 14 14 13 13 13 13 12 12 12 12 12 11 11 10 9 7 5 3 1 0 1 3 4 6 7 8 8 8 8 8 9 9 9 9 8 9 10 11 12 12 12 12 12 12 12 12 11 10 10 11 11 10 10 9 9 9 9 10 11 10 10 9 8 8 7 8 8 8 8 10 10 11 11 11 9 8 8 8 8 8 8 9 10 12 12 12 12 11 10 10 10 10 10 10 11 11 10 10 9 11 13 15 17 16 13 11 9 8 7 7 6 7 nan
nan 11 11 11 11 10 10 9 10 10 10 10 9 9 9 8 8 8 8 8 7 7 8 9 9 9 8 8 7 6 5 4 3 4 8 13 17 18 15 11 8 5 6 7 7 7 6 6 7 8 8 8 8 9 9 9 9 9 9 10 11 11 11 11 11 9 7 4 4 6 9 12 13 14 14 14 15 15 14 13 12 12 11 11 11 11 11 11 10 10 9 8 7 6 4 4 4 5 6 7 8 9 8 7 7 7 8 9 9 10 10 10 9 9 9 10 11 10 9 8 7 8 8 9 10 11 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 8 9 9 9 9 10 9 7 8 8 9 9 9 9 9 10 11 11 11 12 11 11 11 11 12 12 12 12 12 12 12 12 13 14 14 15 14 12 10 9 8 7 7 7 7 nan
nan 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 5 3 2 5 9 14 18 17 13 8 5 5 7 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 10 8 6 4 6 10 13 15 15 13 13 13 14 14 14 13 13 12 12 12 12 12 12 13 14 14 13 13 13 12 10 8 6 5 5 6 8 9 9 8 7 7 7 8 9 9 8 7 7 8 10 11 11 8 6 5 5 6 7 8 9 10 10 11 12 14 14 13 12 12 12 13 13 13 12 11 10 9 9 8 8 9 9 9 8 8 8 8 9 9 9 10 10 10 10 11 11 10 11 11 11 12 13 13 14 14 14 14 15 16 16 15 14 12 10 9 8 8 7 7 7 7 nan
nan 10 11 11 11 11 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 9 8 8 8 8 8 7 6 4 1 3 6 12 17 17 14 10 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 9 13 16 17 16 14 13 12 12 12 12 13 13 14 14 15 15 16 16 16 18 18 18 16 15 15 14 14 12 10 8 7 6 7 8 10 10 10 10 9 9 9 9 9 9 10 12 13 13 10 7 6 5 7 9 10 10 10 10 11 13 15 15 15 13 12 12 12 13 13 13 13 11 10 8 7 7 7 9 9 10 10 10 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 11 12 14 15 15 16 16 17 18 19 18 15 12 9 8 8 8 7 7 7 8 nan
nan 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 11 9 8 8 8 8 8 8 7 4 2 2 4 10 16 18 15 11 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 9 11 14 15 15 13 12 12 11 10 10 10 11 12 13 14 16 17 17 18 18 19 18 18 17 17 17 16 16 16 15 14 12 11 10 10 12 12 13 13 12 12 11 10 10 11 13 13 13 11 8 7 7 9 12 14 14 13 12 12 13 15 14 13 11 10 11 11 11 11 11 11 10 9 7 6 6 7 9 10 11 11 12 11 10 10 10 10 11 12 12 12 12 11 11 10 10 9 10 10 11 13 14 15 15 15 16 18 20 20 18 14 11 9 8 8 7 7 7 8 nan
nan 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 11 10 8 8 7 7 7 8 7 5 2 2 4 10 17 18 15 11 8 7 8 8 8 8 8 9 10 10 10 9 10 10 11 11 10 10 10 10 10 9 8 7 8 9 11 12 12 11 10 10 10 10 9 9 9 10 10 11 12 14 14 15 15 15 15 15 15 16 18 18 19 19 19 20 19 18 17 17 17 17 15 14 13 13 12 11 10 10 11 11 11 10 8 7 8 11 13 15 16 15 14 13 13 14 13 11 9 8 9 11 12 12 11 10 9 8 7 7 7 8 10 11 12 13 14 15 13 12 11 11 11 11 12 12 13 13 12 12 11 10 10 10 11 11 12 12 13 13 12 13 16 18 20 19 16 13 11 10 9 8 8 8 9 nan
nan 12 12 12 11 11 11 11 11 11 12 12 12 13 13 14 14 14 14 14 14 13 12 10 9 8 8 7 7 7 7 7 5 4 3 5 11 16 16 13 8 5 5 6 7 8 9 10 10 11 11 11 10 11 11 12 11 11 11 11 10 10 9 8 8 8 9 10 10 9 9 9 8 8 7 8 8 9 9 9 10 10 11 11 12 11 11 11 12 13 15 16 17 17 18 18 19 19 19 20 21 21 19 16 14 12 12 11 10 10 10 10 10 9 8 8 9 11 13 15 16 15 14 14 13 13 12 11 9 8 9 11 12 12 12 11 10 9 9 9 10 12 13 13 13 14 16 17 17 15 14 13 12 12 12 11 12 13 13 13 13 12 11 11 11 11 12 12 12 11 11 11 12 14 17 18 17 16 14 12 11 10 10 10 10 9 nan
nan 11 11 11 11 10 10 9 10 10 11 12 12 12 12 12 13 13 14 14 13 11 9 7 7 7 8 7 7 7 7 7 6 5 5 7 10 12 11 9 5 3 5 7 9 9 10 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 6 5 5 7 8 9 9 9 10 10 11 11 11 11 11 12 12 13 13 13 14 14 14 14 14 14 15 15 15 15 14 13 12 11 11 11 10 10 11 11 12 11 10 11 11 13 13 14 14 14 14 13 13 13 12 11 10 10 11 12 12 12 11 11 11 11 13 14 16 17 17 16 16 17 18 18 17 16 15 13 12 12 11 11 12 13 13 14 13 12 11 11 11 12 12 12 12 11 11 11 12 14 16 17 17 16 14 13 12 12 11 11 10 10 nan
nan 9 9 10 10 10 9 8 9 10 10 11 11 11 11 11 12 12 12 12 11 8 7 6 7 8 8 7 6 7 7 7 7 8 8 9 9 8 7 5 3 5 7 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 9 9 9 7 5 5 5 6 7 8 9 10 10 11 11 12 12 12 12 13 13 13 13 13 12 12 12 11 11 10 9 8 8 9 9 9 10 11 11 11 11 11 12 12 12 12 11 10 10 11 11 12 13 14 14 13 13 13 12 12 12 13 13 13 12 12 11 12 13 14 16 17 18 18 18 18 18 18 18 18 18 17 16 14 13 12 11 10 11 12 13 14 14 13 12 11 12 13 13 13 12 12 11 12 12 13 15 17 17 16 14 13 12 12 11 11 11 11 nan
nan 10 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 11 11 11 10 8 6 6 7 8 8 7 6 6 7 8 9 10 11 11 9 6 4 2 3 6 8 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 10 9 9 9 10 9 9 9 8 9 9 9 9 8 7 6 7 7 8 8 9 10 11 12 12 13 13 13 13 13 13 13 13 12 13 13 12 12 10 8 6 5 5 5 6 7 8 9 9 9 10 11 10 10 9 8 7 6 7 8 10 12 14 14 13 13 12 12 12 13 13 14 14 14 13 13 12 13 13 15 15 15 15 15 15 16 17 17 17 16 15 16 16 16 14 13 11 10 11 12 14 15 15 14 13 13 13 14 13 13 12 12 12 12 12 13 15 16 17 17 15 14 13 12 12 12 12 12 nan
nan 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 8 6 5 5 7 7 7 6 7 7 8 10 11 12 11 9 5 2 2 4 7 9 10 9 8 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 9 9 9 10 11 12 13 13 13 14 13 13 13 13 13 12 12 13 13 13 13 13 11 9 7 6 6 5 6 6 6 6 6 7 7 7 6 5 4 4 5 7 9 11 12 14 13 12 11 11 11 11 12 13 14 14 14 13 13 13 13 13 14 13 13 13 13 13 14 15 16 14 11 10 12 14 16 15 14 12 11 11 12 13 15 15 14 13 13 14 14 14 14 13 13 13 13 13 14 15 16 17 17 17 16 15 14 14 14 15 15 nan
nan 10 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 10 10 9 6 4 4 6 6 7 7 8 8 9 11 13 14 12 8 5 3 3 6 8 9 8 8 8 9 10 10 11 11 11 11 12 12 11 10 10 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 11 13 13 14 14 14 14 13 13 13 13 12 12 12 13 14 15 16 17 16 14 12 10 8 8 7 7 7 7 6 6 6 5 5 5 6 8 10 12 13 14 14 13 12 10 9 8 10 11 12 12 13 13 12 12 12 12 12 13 13 12 12 11 11 12 13 14 14 10 7 6 7 11 14 14 14 12 11 10 11 12 13 14 13 13 13 14 14 15 15 14 14 14 14 14 15 16 16 17 18 18 18 19 19 19 19 20 22 nan
nan 9 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 9 10 10 8 6 5 5 6 7 8 8 9 10 12 14 15 12 7 5 4 6 8 8 8 6 6 8 9 10 11 11 12 12 12 12 11 10 9 8 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 13 14 15 15 15 14 14 13 13 12 12 12 12 12 12 14 15 16 17 18 17 16 15 14 12 12 11 12 12 12 11 10 10 9 10 10 12 13 15 16 16 16 14 13 11 9 8 9 11 13 13 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 12 13 12 9 6 4 5 8 11 12 13 12 11 10 10 10 12 13 13 13 13 14 14 15 16 16 15 15 15 16 16 16 16 16 17 18 20 21 22 23 24 26 27 nan
nan 7 6 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 10 10 9 7 6 5 6 7 8 9 9 11 12 15 14 10 7 5 5 7 8 6 5 4 5 8 10 11 11 11 12 12 12 10 9 9 9 8 6 6 7 8 9 10 10 10 10 10 10 10 10 9 8 8 9 11 13 15 16 16 16 15 14 13 13 12 12 12 12 11 11 12 14 15 15 15 15 14 15 15 15 14 15 15 16 17 17 17 16 16 15 15 15 16 16 17 16 16 15 13 11 9 8 9 11 14 14 13 12 11 10 10 11 12 12 12 12 11 11 11 10 10 10 11 12 11 9 6 3 4 6 9 11 13 12 11 9 9 9 10 12 12 13 13 13 14 15 16 16 16 16 16 16 15 14 14 14 15 16 18 19 20 22 23 26 26 nan
nan 5 5 6 6 6 7 7 7 7 8 7 7 7 7 7 8 8 7 7 9 10 9 7 5 5 5 7 8 9 9 10 12 14 12 9 6 5 7 8 7 5 4 4 6 9 11 12 12 12 12 11 11 10 11 11 10 8 7 8 9 10 10 11 11 11 10 10 10 9 8 7 7 8 9 12 15 17 17 17 16 15 14 13 13 12 12 12 11 11 11 12 13 14 13 12 11 11 12 13 13 14 15 16 18 19 19 20 19 19 18 18 18 18 19 18 16 15 13 11 9 7 7 9 12 13 14 13 12 11 10 10 11 11 12 11 11 11 11 11 11 10 10 11 12 12 11 7 3 3 4 7 10 12 13 11 9 8 9 10 11 12 12 12 13 14 16 16 16 16 15 15 15 14 13 12 13 13 12 12 13 14 15 16 18 18 nan
nan 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 8 9 9 9 7 5 4 4 6 7 8 9 10 11 11 9 7 6 7 9 9 7 6 5 6 8 11 13 14 13 12 11 11 12 13 13 13 11 10 11 12 13 13 13 12 11 10 10 9 8 7 5 6 7 8 10 12 15 17 17 17 16 15 14 13 13 12 11 11 10 10 10 12 13 12 11 10 10 10 11 11 11 12 13 14 15 17 17 18 18 17 18 19 19 21 21 20 18 15 11 9 7 5 6 9 11 12 13 12 11 11 11 11 12 12 12 11 11 10 11 11 11 10 11 11 12 13 12 7 3 2 2 6 10 13 13 12 10 9 9 10 10 11 11 11 12 14 15 16 15 14 13 12 12 12 12 12 11 10 9 8 8 8 8 9 8 8 nan
nan 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 9 9 10 9 7 5 4 4 5 5 7 8 9 10 9 8 7 8 10 11 10 9 8 8 8 9 11 13 14 13 12 11 11 13 14 13 11 10 11 12 14 16 16 15 13 12 10 9 7 6 5 5 6 7 8 10 12 15 17 17 17 16 15 14 13 12 11 10 10 9 9 10 11 11 11 10 10 11 11 11 10 9 9 10 11 12 12 12 13 13 14 15 17 19 22 23 21 17 12 9 7 6 5 6 9 11 12 12 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 12 12 13 11 6 3 1 2 7 11 14 14 12 11 10 10 11 10 10 10 11 12 13 14 14 13 11 10 9 10 11 12 11 11 10 9 8 7 7 6 6 5 4 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
936 921 875 837 822 853 993 1093 1153 1067 1017 1079 1179 1286 1467 1664 1853 1987 2045 2015 1955 1912 1909 1966 2044 2098 2202 2289 2302 2319 2298 2151 1993 1858 1786 1762 1732 1698 1673 1633 1527 1389 1138 908 700 507 353 242 162 111 85 69 60 49 40 37 33 25 24 22 19 13 5 1 0 0 0 0 0 0 0 0 7 25 48 73 116 160 212 300 431 642 1119 1752 1896 1836 1728 1667 1654 1585 1487 1435 1422 1474 1601 1758 1936 2012 2023 2065 2149 2448 2883 2970 2915 2915 2982 3037 3034 3004 2977 2931 2908 2887 2857 2818 2788 2779 2771 2824 2832 2881 2926 2992 3120 3266 3276 3280 3227 3219 3227 3240 3225 3183 3183 3073 2952 2878 2844 2776 2665 2590 2609 2695 2845 2917 2852 2687 2451 2171 1903 1659 1475 1323 1222 1151 1123 1121 1093 1115 1242 1492 1766 1943 2024 2071 2101 2122 2081 1974 1838 1736 1687 1705 1805 1949 2114 2314 2499 2669 2775 2828 2874 2872 2840 2760 2675
834 779 660 563 544 604 793 887 932 893 867 907 1008 1140 1277 1411 1501 1683 1813 1827 1786 1765 1797 1881 1968 1994 2142 2262 2296 2290 2240 2085 1909 1766 1681 1688 1705 1755 1768 1574 1236 939 706 514 364 260 188 127 75 47 34 29 25 22 19 17 15 12 10 8 5 3 1 0 0 0 0 0 0 0 0 0 0 1 3 6 13 38 70 120 245 418 697 1160 1386 1482 1484 1494 1533 1521 1472 1492 1562 1641 1685 1813 1862 1861 1893 1897 1970 2476 2533 2466 2606 2819 2945 2959 2962 3006 3049 3040 3032 3021 3001 2967 2913 2855 2794 2823 2845 2867 2898 2962 3072 3184 3214 3221 3272 3348 3329 3292 3296 3257 3215 3189 3105 3072 3088 3075 3008 2921 2751 2693 2846 2942 2979 2949 2831 2662 2344 2060 1812 1608 1445 1327 1262 1218 1161 1132 1165 1319 1537 1762 1957 2060 2054 2089 2066 1975 1851 1732 1628 1581 1622 1723 1870 2015 2188 2375 2534 2678 2834 2843 2801 2750 2700
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268 240 250 302 367 431 520 627 713 800 902 1035 1191 1302 1374 1428 1444 1448 1506 1563 1605 1725 1860 1961 1987 1987 2000 2008 1954 1815 1700 1809 1916 2027 1995 1695 1218 751 420 242 177 135 111 92 73 54 36 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 10 33 87 191 387 699 832 816 871 941 1137 1358 1477 1572 1625 1756 1804 1728 1723 1788 1833 1908 1990 2043 2117 2174 2312 2565 2718 2652 2871 2992 3216 3444 3611 3500 3320 3288 3352 3380 3359 3334 3304 3304 3329 3327 3324 3417 3444 3368 3353 3444 3504 3481 3475 3468 3454 3434 3379 3260 3104 3046 3046 3063 3129 3111 3070 3036 2971 2869 2750 2607 2433 2259 2075 1909 1771 1649 1546 1525 1625 1751 1883 2018 2109 2108 2049 1970 1881 1798 1717 1647 1618 1642 1715 1759 1843 1985 2142 2290 2436 2552 2589
215 202 207 246 310 387 481 612 715 808 925 1076 1234 1375 1495 1573 1606 1618 1640 1662 1698 1813 1911 1978 1999 1975 1922 1885 1865 1818 1815 1919 1912 1763 1458 1047 637 332 182 118 90 69 57 46 35 24 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 43 115 287 936 932 812 813 993 1214 1137 1252 1535 1719 1725 1629 1557 1503 1496 1638 1678 1699 1740 1758 1805 1922 2074 2160 2238 2352 2600 2769 2791 2809 2884 3074 3278 3357 3420 3439 3438 3461 3506 3541 3538 3664 3666 3655 3726 3757 3656 3552 3491 3416 3385 3390 3392 3351 3233 3234 3268 3300 3332 3360 3299 3181 3115 3116 3079 2994 2897 2754 2581 2405 2230 2089 1996 1944 1907 1887 1921 2026 2129 2160 2164 2118 2038 1958 1891 1813 1725 1688 1737 1761 1805 1885 1982 2101 2285 2395 2438
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223 185 187 232 277 372 507 651 778 870 951 1064 1202 1340 1496 1612 1669 1707 1745 1766 1763 1765 1791 1857 1929 2030 2048 1917 1712 1480 1222 950 677 430 239 126 75 42 20 8 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 16 63 148 248 323 442 364 327 313 306 338 431 530 555 636 735 839 943 1090 1286 1417 1526 1539 1667 1692 1747 1837 1926 1987 2022 2069 2239 2345 2430 2556 2601 2368 2044 2091 2226 2252 2274 2325 2463 2688 3045 3221 3324 3482 3613 3630 3507 3368 3245 3073 2829 2677 2499 2352 2353 2410 2454 2397 2660 2852 2944 2971 2902 2816 2661 2544 2561 2624 2629 2497 2443 2450 2474 2488 2468 2443 2420 2389 2342 2262 2207 2123 2039 1969 1913 1886 1896 1920 1956 1995 2067 2139
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