Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 5 5 6 6 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 8 6 6 5 5 5 6 6 6 6 6 7 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 7 6 5 3 2 2 2 2 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 nan
nan 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 7 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 6 6 6 7 7 6 6 6 6 7 6 6 6 7 6 6 6 6 5 5 6 6 7 7 8 8 8 8 8 8 7 8 8 9 10 11 11 9 7 6 6 5 5 5 6 6 6 6 7 7 8 8 9 9 9 9 8 8 7 6 6 7 8 9 9 9 9 9 9 10 10 9 8 7 5 3 2 1 2 2 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 nan
nan 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 6 6 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 5 5 5 5 6 6 6 7 7 8 8 8 8 8 7 7 8 8 9 11 12 10 8 7 6 5 5 5 5 6 6 6 6 7 7 8 8 9 9 9 9 8 8 7 6 6 7 8 9 9 10 10 11 11 12 11 10 8 6 3 2 2 2 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 nan
nan 7 7 8 9 9 10 10 10 9 9 9 10 10 10 9 9 8 8 8 8 8 7 7 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 5 4 4 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 10 11 11 10 8 7 6 6 5 5 5 5 6 6 6 7 7 8 8 9 9 9 9 9 8 7 6 6 7 7 8 9 10 11 13 14 13 12 9 7 5 3 2 3 4 4 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 nan
nan 6 6 7 8 9 10 10 9 9 9 9 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 7 7 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 8 7 6 6 6 6 5 5 5 6 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 7 8 10 11 11 10 9 7 6 6 6 5 5 5 6 6 6 7 7 8 8 9 9 10 9 8 8 7 7 7 7 7 7 8 10 12 14 15 14 12 10 7 5 4 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 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 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 nan
nan 6 6 6 7 8 8 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 9 9 10 9 7 6 6 6 6 6 6 6 6 7 7 7 6 5 5 4 3 3 4 4 4 5 5 5 5 6 7 8 9 10 11 10 9 8 7 7 6 6 6 5 5 6 6 7 7 8 9 9 10 10 9 9 8 8 7 7 6 6 6 7 10 12 14 15 14 13 12 10 9 8 7 7 7 6 5 4 4 4 3 3 3 3 3 3 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 nan
nan 5 5 6 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 7 8 8 8 7 8 8 8 8 8 8 7 7 8 8 7 7 6 6 6 6 7 7 7 8 8 8 8 7 7 7 8 8 9 10 9 8 6 6 6 6 6 6 6 7 7 7 7 7 6 5 4 3 3 3 3 3 3 4 5 5 5 5 6 7 7 9 10 11 11 11 9 8 7 7 6 6 5 5 5 6 7 8 8 9 9 10 10 10 9 9 8 8 7 6 6 6 7 9 11 13 14 14 15 15 14 13 12 11 9 8 7 6 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 nan
nan 6 5 5 6 7 7 6 6 5 5 4 4 4 5 5 5 5 5 6 7 8 8 8 8 9 9 9 8 8 7 7 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 7 7 8 8 9 9 9 8 6 6 5 5 5 6 6 6 7 7 7 7 6 6 5 4 3 3 3 3 4 5 7 7 7 6 6 6 6 7 7 8 10 10 11 10 10 9 9 8 6 5 5 5 6 6 7 8 8 9 9 10 10 10 10 9 9 9 8 7 6 6 6 7 8 10 12 14 16 18 18 19 17 15 13 11 8 6 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 6 5 5 5 6 7 7 6 5 4 4 4 5 5 5 6 6 6 6 6 7 7 8 8 9 9 9 8 8 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 6 5 5 5 5 5 5 5 6 7 7 7 7 6 6 5 4 4 5 5 6 8 10 10 8 7 7 7 7 7 7 7 8 8 9 9 10 11 11 10 8 6 5 5 5 6 6 7 8 8 9 9 10 10 10 10 10 10 10 9 8 7 5 5 5 6 8 10 13 16 20 22 22 21 19 16 13 9 7 5 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 nan
nan 6 6 5 5 5 7 7 7 5 4 4 4 5 6 6 6 6 6 6 6 6 7 7 8 8 9 8 8 8 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 6 7 8 8 8 7 7 5 5 6 8 8 8 9 10 9 8 7 6 6 6 7 7 7 7 7 8 8 9 11 12 11 9 7 6 5 5 5 6 7 7 8 8 9 9 10 10 10 10 11 11 11 10 9 8 6 5 4 4 6 8 11 15 20 24 26 26 24 19 14 10 7 5 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 6 6 5 6 7 8 7 5 4 4 5 6 6 7 7 7 7 7 7 6 7 7 8 8 8 8 8 7 7 8 7 7 6 6 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 6 6 5 5 5 5 6 6 6 5 5 6 7 8 8 8 8 8 7 6 6 8 10 10 10 9 8 7 6 6 6 6 6 7 8 8 9 9 9 8 8 10 11 10 10 9 8 6 5 5 6 6 7 7 7 8 8 9 10 10 11 11 11 11 12 11 10 8 6 4 3 3 3 5 9 14 20 26 29 29 25 20 15 9 7 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 7 6 6 6 7 8 7 6 5 5 6 6 6 7 7 7 8 7 7 6 7 7 7 8 8 8 8 7 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 8 7 7 7 6 6 6 6 5 5 5 6 6 7 6 7 7 8 8 8 8 7 7 8 8 7 7 8 10 10 10 9 8 8 8 7 7 7 8 8 8 8 9 10 10 9 8 8 8 8 9 10 10 9 7 6 6 6 6 7 7 7 8 9 9 10 10 10 10 11 11 11 11 11 9 6 4 3 2 1 3 8 15 21 27 30 29 25 20 14 11 9 7 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
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nan 3 4 5 6 7 7 7 7 7 7 7 6 6 6 6 7 8 7 6 5 6 6 7 7 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 10 10 9 8 7 5 4 5 7 8 8 9 9 9 9 9 10 10 10 10 8 8 9 9 9 9 8 7 8 8 9 8 7 6 6 8 9 11 12 12 11 9 7 7 7 7 7 7 8 8 9 9 9 8 8 8 9 9 10 11 10 9 7 5 3 2 3 7 13 20 26 29 30 30 28 27 24 20 17 14 12 10 8 7 5 5 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 3 3 3 5 6 6 7 7 7 6 6 6 6 6 7 8 8 7 6 6 6 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 7 6 5 5 6 7 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 10 9 8 7 7 8 8 8 8 7 7 8 9 9 10 12 12 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 7 5 4 4 7 12 17 22 27 30 32 34 35 32 29 24 19 15 12 10 8 7 6 5 5 5 5 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 3 2 3 4 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 7 7 7 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 7 7 7 6 6 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 7 7 7 7 7 8 9 10 10 9 8 8 8 8 9 9 9 8 9 10 9 9 9 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 12 12 10 8 6 6 9 12 16 20 23 27 31 35 37 36 33 28 22 17 14 12 10 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 3 2 3 4 6 6 6 6 5 5 5 6 6 7 8 8 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 8 9 9 8 7 7 7 8 8 9 10 11 10 9 9 10 10 10 10 10 10 11 11 10 9 9 9 10 12 12 11 10 9 9 9 9 8 7 7 7 8 9 9 9 10 10 11 13 14 14 13 10 8 9 11 14 16 19 21 23 27 31 33 33 31 27 22 18 15 13 12 11 10 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 nan
nan 2 2 2 4 5 6 6 6 6 5 5 5 6 8 8 7 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 6 6 6 7 7 7 6 6 7 7 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 6 7 8 8 8 8 9 9 9 8 7 8 9 9 9 10 11 12 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 12 12 11 10 10 10 10 9 8 7 7 7 8 8 9 9 10 10 12 13 15 16 14 12 11 11 12 14 17 18 19 19 21 23 25 26 25 22 19 17 16 14 13 13 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 nan
nan 3 2 1 3 4 6 7 7 6 6 5 5 6 6 6 5 5 6 7 8 7 7 7 7 8 9 9 9 9 8 7 7 7 6 6 6 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 5 6 7 8 8 8 9 9 9 8 8 9 10 10 11 11 12 12 12 11 11 11 12 12 12 13 13 13 12 12 11 10 10 11 11 11 10 9 9 9 8 7 7 6 7 7 7 8 9 10 10 11 12 14 16 17 16 14 13 12 13 14 16 17 16 15 15 16 17 18 17 15 14 14 14 14 14 14 14 14 14 14 13 12 11 11 11 11 11 10 10 10 10 10 9 9 9 8 7 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 8 8 8 8 nan
nan 5 3 2 3 4 5 6 7 7 6 5 5 5 5 4 4 5 6 7 7 7 7 7 8 8 9 9 10 10 9 8 7 7 6 6 6 7 7 7 6 6 6 5 6 6 6 6 6 5 5 5 5 6 5 5 4 5 5 6 5 5 5 6 6 6 5 5 6 8 8 9 9 9 9 9 9 10 10 11 11 11 12 12 11 11 10 10 10 11 12 12 13 13 13 13 13 13 12 11 11 11 10 9 9 7 5 4 4 5 6 6 7 7 8 9 10 10 11 13 15 17 17 16 15 13 13 13 14 15 15 13 13 12 13 12 12 12 11 10 11 12 13 13 14 15 15 15 15 14 13 13 12 11 11 10 10 9 9 8 8 7 7 6 5 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 5 5 6 nan
nan 7 5 4 3 4 5 6 7 7 6 5 4 4 5 4 5 6 7 7 7 7 7 8 8 9 9 9 9 9 9 8 7 6 5 5 5 6 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 6 5 4 4 5 6 6 7 7 8 8 7 6 6 6 8 9 9 9 10 9 9 10 10 11 11 10 10 11 12 12 11 10 9 9 9 10 11 11 12 12 13 14 14 14 12 12 12 12 11 10 9 6 3 2 2 4 5 6 6 7 8 9 10 11 13 15 17 18 17 16 15 13 13 14 14 14 13 12 12 12 12 12 11 11 11 11 11 12 13 13 14 14 14 15 14 13 13 12 11 10 9 8 7 6 5 5 4 4 3 3 2 2 1 1 1 1 1 1 1 1 0 -0 -1 -1 -1 -1 -0 -0 -0 1 2 3 nan
nan 7 6 5 4 4 5 6 7 7 6 5 5 6 6 6 6 7 8 7 7 7 7 8 9 9 9 9 8 8 7 7 7 5 4 4 4 4 5 6 6 7 7 6 6 6 6 6 6 5 5 5 6 7 6 6 6 7 7 8 9 10 11 9 8 7 7 8 9 9 10 10 10 10 10 10 11 11 11 10 10 10 11 11 10 10 9 8 8 9 10 10 11 11 12 13 14 13 12 13 13 13 13 12 11 8 6 5 5 5 5 5 6 7 8 9 11 12 14 16 17 18 17 15 14 14 14 14 14 14 13 12 12 13 13 13 13 13 12 12 13 13 12 12 12 12 11 11 11 10 9 8 7 6 5 4 3 2 2 2 2 1 1 1 1 1 1 1 1 1 0 -0 -1 -1 -1 -1 -2 -2 -2 -1 -1 -1 -1 -0 0 1 nan
nan 8 7 5 4 3 4 6 7 7 8 8 7 7 7 7 6 6 7 7 7 7 7 8 8 9 9 9 9 8 7 6 5 4 4 4 4 4 4 4 5 6 7 8 9 9 9 9 8 7 6 7 8 8 8 8 8 9 9 10 11 11 11 10 9 8 8 9 9 10 10 10 10 10 10 10 11 11 10 10 9 9 10 9 9 9 8 7 7 8 9 9 10 10 11 12 12 11 12 13 14 15 14 14 13 11 9 9 8 7 6 5 5 6 8 11 13 14 16 17 18 17 16 15 14 14 14 14 14 14 13 12 13 13 13 13 13 13 12 11 11 11 10 9 8 7 7 6 5 5 4 4 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 -0 -1 -1 -2 -2 -2 -1 -1 -0 0 1 1 1 1 1 0 nan
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nan 9 8 8 8 7 5 6 7 8 9 10 10 10 10 10 9 8 7 8 9 9 8 7 6 6 5 5 5 5 6 7 7 6 6 6 6 7 9 10 10 9 8 7 7 6 7 8 9 10 9 9 9 9 9 9 10 10 9 7 7 7 8 8 8 9 11 12 12 12 11 10 9 8 8 8 7 8 8 8 9 9 8 8 7 7 7 7 8 9 8 7 7 6 6 7 8 9 9 10 10 11 11 12 12 11 12 12 12 12 12 11 10 9 6 4 2 1 1 2 4 5 8 10 12 13 12 10 9 8 6 5 3 2 1 0 -0 -1 -1 -1 -0 -0 0 1 1 1 1 1 1 2 2 2 2 3 3 3 3 4 5 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
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nan 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 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 10 9 9 8 7 7 7 6 7 8 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 8 9 10 11 11 12 12 13 13 13 13 13 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 nan
nan 9 9 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 12 11 11 11 10 9 10 10 10 10 10 9 9 9 9 8 9 9 9 9 8 8 7 7 7 7 7 8 9 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 7 8 8 8 8 9 9 9 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 10 11 11 11 12 12 13 13 13 13 13 12 12 11 10 10 10 11 12 12 12 12 12 12 11 10 10 10 10 11 11 11 12 12 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 8 8 7 7 7 7 7 8 8 8 nan
nan 9 10 10 10 10 10 9 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 11 11 11 11 11 11 11 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 8 10 11 11 11 11 11 11 12 12 12 13 13 12 11 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 10 11 12 13 13 12 11 10 10 11 11 10 9 9 10 10 10 11 11 10 10 9 9 8 8 8 8 7 7 7 8 8 8 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 9 9 8 8 9 10 10 11 11 11 10 10 10 9 9 8 8 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 7 9 10 11 11 11 11 11 11 11 12 12 13 13 12 11 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 10 9 8 8 9 11 12 11 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 9 9 9 8 9 9 9 9 8 8 8 9 9 9 8 8 8 9 10 11 11 12 12 11 10 10 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 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 8 7 8 9 11 12 12 11 11 10 10 11 12 12 12 12 11 10 10 9 9 10 10 10 11 11 12 12 11 10 10 9 10 10 9 9 8 8 7 7 7 7 7 9 10 11 9 8 8 9 9 10 10 10 10 9 9 8 8 8 9 9 9 8 8 8 8 8 9 9 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 7 8 8 9 9 8 8 9 10 11 12 13 13 12 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 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 8 8 8 9 10 12 13 12 11 10 9 9 10 11 11 11 11 10 9 9 9 9 10 10 10 11 11 11 12 11 11 11 11 12 12 12 11 10 10 9 9 9 9 10 11 11 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 11 10 9 8 8 8 8 9 9 9 nan
nan 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 7 7 8 9 9 9 9 10 10 11 12 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 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 8 8 9 9 11 13 13 12 11 9 7 7 8 9 10 10 10 9 8 8 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 13 13 12 12 12 13 14 15 15 14 13 13 13 13 12 12 11 10 10 9 9 9 10 12 13 12 11 9 8 8 8 9 9 9 9 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 12 12 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 9 9 9 8 8 8 8 9 11 12 13 12 10 7 5 5 6 8 9 9 8 8 7 8 9 10 10 11 11 12 12 11 11 11 10 10 10 10 11 11 12 12 13 13 14 14 15 16 16 16 16 15 15 15 15 15 13 12 11 11 11 11 12 13 13 12 10 9 8 9 9 10 9 9 8 nan
nan 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 12 12 12 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 9 8 8 8 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 9 9 9 8 8 8 8 8 10 11 11 11 9 6 5 5 7 8 8 8 7 7 8 8 9 10 11 12 13 13 13 12 11 10 9 9 9 9 9 10 11 11 12 12 12 12 13 13 13 14 14 14 15 15 15 15 14 13 13 13 13 12 12 12 11 10 10 10 10 10 10 9 8 7 6 nan
nan 11 11 11 11 11 11 10 10 9 9 10 9 9 9 9 9 10 9 9 9 9 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 13 12 12 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 10 9 8 7 6 6 7 8 8 8 8 8 8 9 10 11 12 13 14 14 14 13 10 9 8 7 7 8 9 10 10 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 13 13 12 11 10 10 11 11 11 10 9 7 5 5 5 nan
nan 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 10 12 13 12 10 8 8 8 8 9 9 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 7 7 7 8 9 9 9 9 8 8 7 7 7 6 6 7 7 7 7 7 7 7 8 9 9 9 9 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 9 9 8 8 7 7 8 8 8 8 8 8 9 9 10 11 12 14 14 15 14 12 10 8 7 7 7 8 9 10 10 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 9 8 6 5 3 3 4 5 nan
nan 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 10 14 16 16 13 10 8 7 7 7 8 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 7 7 7 7 8 9 10 9 9 8 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 12 13 14 15 15 14 12 10 9 7 6 6 7 8 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 9 7 5 3 2 1 1 2 3 5 6 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 8 8 8 7 7 7 8 10 14 17 18 16 12 10 8 7 6 7 8 9 9 10 10 11 12 12 12 11 11 11 10 9 9 8 8 8 8 8 8 7 7 7 7 7 9 9 10 9 8 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 10 11 13 14 14 15 13 12 10 9 7 6 6 7 9 10 10 10 11 11 12 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 6 4 1 -0 -0 0 2 3 5 6 7 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 10 13 18 19 18 15 11 9 8 7 7 6 7 8 9 10 11 11 11 11 11 11 10 10 9 8 8 7 8 8 8 8 7 7 7 7 7 8 9 9 9 8 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 7 7 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 9 8 7 7 7 8 8 8 8 8 8 9 9 10 11 12 13 13 12 11 10 9 6 6 7 8 10 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 6 4 2 0 0 1 3 4 6 7 7 8 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 12 17 21 20 17 14 11 9 9 8 8 7 6 7 8 9 11 11 11 11 10 10 9 9 8 8 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 9 9 8 8 7 6 7 8 9 9 9 9 10 10 11 10 10 9 9 9 8 7 7 7 7 7 7 8 8 7 7 7 8 9 10 10 10 9 9 8 7 6 7 8 9 11 11 10 10 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 8 7 6 5 3 1 1 1 2 4 5 6 7 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 15 21 23 20 16 13 10 10 9 9 8 7 5 5 7 9 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 9 9 8 8 7 7 8 9 9 9 9 10 10 10 10 9 9 8 8 9 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 7 6 5 5 5 7 8 9 10 11 10 10 11 11 11 12 11 10 9 9 9 9 10 10 10 10 10 9 9 8 6 4 2 1 0 1 3 4 6 7 7 8 8 8 8 nan
nan 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 13 18 22 22 19 15 11 10 10 9 9 8 6 5 5 6 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 7 7 7 6 6 6 6 7 8 8 9 10 10 10 11 11 10 9 9 8 8 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 7 6 5 4 4 5 6 7 9 10 11 11 11 11 11 11 12 11 10 9 9 8 9 9 10 10 10 10 10 9 8 7 4 3 3 4 5 6 7 7 7 7 7 8 8 8 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 13 16 20 22 20 17 12 10 10 9 9 8 8 6 5 5 5 6 7 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 8 9 9 8 8 7 7 7 6 6 6 6 7 8 8 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 8 8 7 7 6 6 7 7 8 9 9 9 10 9 8 7 7 6 5 5 6 6 6 7 7 8 9 9 8 8 8 9 9 9 9 8 7 5 4 4 4 4 5 7 9 11 11 11 11 11 10 11 11 10 10 9 8 8 9 9 10 10 10 10 10 10 9 8 8 8 9 10 10 9 8 7 7 7 7 7 7 8 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 16 20 21 19 15 11 9 9 9 9 8 8 7 5 4 3 4 6 9 10 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 8 9 9 9 8 8 7 7 6 6 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 10 9 8 8 7 6 6 6 7 8 9 10 11 11 11 10 9 8 7 6 5 5 5 5 6 8 9 10 10 9 9 9 8 8 8 8 8 7 5 4 4 4 4 5 6 8 10 11 11 11 11 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 9 10 11 13 14 13 11 9 7 6 6 6 6 7 7 8 nan
nan 8 8 8 9 9 9 9 10 10 10 9 9 10 10 10 10 10 11 11 12 15 19 21 19 14 10 9 9 9 9 9 8 7 5 4 2 3 6 9 10 10 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 7 8 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 8 7 7 7 7 8 10 11 11 11 11 11 10 9 9 8 7 6 5 6 7 8 9 9 9 8 8 8 8 8 7 7 6 6 5 4 4 4 5 6 7 8 10 11 11 11 10 10 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 11 12 12 12 10 9 7 6 6 6 6 7 7 7 8 nan
nan 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 15 19 22 19 15 11 10 10 10 10 9 8 7 5 4 2 3 6 8 10 11 10 10 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 10 10 9 9 9 9 9 9 9 8 7 7 7 8 9 10 10 10 9 9 9 9 9 9 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 7 6 5 4 4 5 6 7 8 9 10 11 12 12 11 10 9 9 9 10 10 10 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 6 6 6 7 7 7 8 8 8 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 16 21 22 19 15 12 10 10 10 10 10 8 7 6 4 2 2 5 8 10 11 10 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 8 7 8 8 9 10 10 9 8 7 7 7 8 8 7 7 7 7 9 9 8 7 5 6 6 7 8 8 8 7 6 6 6 7 9 10 11 11 11 12 13 13 12 10 9 8 8 8 9 9 10 10 10 10 10 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 nan
nan 9 9 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 12 16 21 21 18 14 11 11 11 11 10 10 9 8 6 3 2 3 5 8 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 8 8 7 7 7 7 7 7 8 9 10 10 8 7 6 7 7 8 8 8 8 8 8 9 10 12 13 15 15 15 15 15 15 14 12 11 9 8 8 8 8 8 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 nan
nan 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 12 12 11 12 16 19 19 17 14 11 10 11 11 10 10 9 8 5 2 1 3 6 9 10 9 10 10 10 10 9 9 9 9 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 11 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 8 8 7 6 6 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 12 13 14 15 16 17 17 17 16 15 15 13 11 9 8 7 7 8 8 9 9 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 11 12 13 13 12 11 10 10 10 9 9 9 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 17 19 19 17 13 10 10 10 10 10 9 8 6 3 -0 -1 2 7 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 8 8 9 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 6 5 4 4 5 6 8 9 10 10 10 10 10 11 12 12 12 12 12 12 12 12 13 12 12 13 14 15 15 15 15 15 14 13 11 9 7 7 7 8 9 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 10 11 12 13 14 13 13 12 11 10 9 9 9 8 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 14 17 19 18 15 11 9 9 9 9 9 8 7 4 -0 -3 -2 4 9 11 10 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 9 10 11 12 12 11 10 10 9 9 8 8 7 7 7 6 6 6 6 6 5 4 4 3 3 2 2 3 4 5 7 8 9 9 10 10 11 12 13 13 13 13 13 12 11 11 10 10 10 11 12 12 12 13 14 14 13 11 9 8 8 8 8 9 9 10 10 10 9 8 8 8 8 9 9 10 10 10 9 9 10 10 11 13 14 14 14 13 11 10 9 9 8 8 nan
nan 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 13 16 18 17 13 9 8 8 8 8 8 7 5 2 -3 -4 1 7 11 11 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 10 10 9 8 8 7 7 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 8 9 10 11 13 13 12 11 10 9 8 8 8 7 6 6 5 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 5 5 7 8 10 11 11 12 12 12 11 11 10 10 9 9 9 9 10 10 10 10 11 12 12 12 12 10 9 9 9 9 9 9 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 9 10 11 12 13 14 14 13 11 10 9 9 8 8 nan
nan 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 13 16 18 17 13 9 8 7 7 7 7 6 4 0 -3 -2 4 8 10 9 7 7 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 8 9 10 11 13 13 13 13 12 11 10 9 9 8 8 7 6 5 5 5 5 5 5 6 7 8 8 8 8 7 6 5 5 5 7 9 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 11 10 9 9 9 9 9 9 9 8 9 9 9 10 10 10 11 11 10 10 10 10 10 10 11 12 13 13 13 11 10 10 9 9 9 nan
nan 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 13 16 18 18 14 10 8 7 8 7 7 5 3 -1 -2 0 4 7 7 6 6 8 10 11 11 10 9 8 8 8 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 6 6 7 7 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 8 9 10 10 11 11 12 13 14 13 12 11 11 10 11 10 10 9 9 8 8 8 8 9 10 11 11 11 11 10 9 9 9 9 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 13 13 12 11 9 8 8 8 8 8 8 9 9 10 10 11 11 11 11 12 11 11 11 10 10 10 10 11 12 13 12 12 12 12 12 11 11 nan
nan 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 10 10 11 12 14 16 18 20 18 13 10 8 8 8 7 5 3 -0 -1 1 3 4 5 6 8 10 11 11 10 9 9 9 9 8 8 8 8 9 10 10 10 10 9 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 9 9 9 8 8 7 7 7 8 8 9 9 8 8 9 11 13 14 14 14 13 13 14 14 13 13 12 12 11 11 11 11 12 13 13 12 11 11 11 11 12 12 12 11 9 8 8 8 9 10 11 11 11 10 10 9 9 9 8 8 9 9 10 11 13 14 14 14 13 11 9 7 7 7 7 7 8 9 10 10 11 11 12 12 12 13 12 12 12 11 11 10 10 11 11 12 13 14 15 16 15 15 14 nan
nan 10 9 9 10 10 11 11 11 11 11 12 12 12 12 11 11 11 12 13 13 16 19 22 22 17 12 9 9 8 7 6 4 2 1 2 2 3 4 7 9 11 11 11 10 9 8 8 9 10 10 9 9 10 10 11 12 11 11 10 8 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 9 9 9 9 9 8 8 7 7 7 8 9 8 7 7 7 8 10 12 14 15 16 16 16 16 16 15 14 14 13 13 13 13 13 13 13 12 11 11 11 12 13 13 12 11 9 7 7 8 10 11 11 11 11 10 9 9 9 9 9 9 9 9 11 13 15 16 16 16 13 11 8 7 7 7 7 8 8 9 10 10 11 11 12 13 13 13 13 13 12 12 11 11 10 10 10 11 13 15 16 16 16 16 17 nan
nan 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 15 18 23 24 19 14 10 9 8 7 6 5 4 3 2 2 3 5 8 10 11 11 11 10 8 8 8 9 11 11 10 9 10 11 12 13 12 12 11 10 8 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 9 9 8 8 7 7 8 8 9 9 8 7 7 7 9 11 13 14 15 16 16 16 15 15 14 14 14 14 14 14 13 12 11 11 11 12 12 13 13 14 14 12 10 9 8 10 11 12 12 11 10 9 9 9 9 9 9 9 9 10 12 13 14 16 17 15 13 10 8 7 7 7 7 8 9 9 10 10 10 11 12 12 13 12 12 13 12 12 11 11 10 10 10 10 11 12 12 13 14 16 17 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 6 6 5 5 5 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 10 16 27 40 51 58 62 61 54 45 40 36 37 43 54 64 75 74 70 63 51 33 14 2 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 2 2 1 1 1 1 2 3 3 3 3 3 4 4 5 6 7 8 9 10 13 14 15 14 12 10 9 9 11 13 14 18
4 4 5 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 3 4 4 4 4 4 3 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 8 16 27 37 47 62 73 71 65 58 50 42 39 47 57 69 78 82 80 71 49 27 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 2 3 3 3 3 3 3 3 4 6 6 7 7 7 9 12 13 12 10 9 8 9 11 12 13 15
4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 1 1 1 2 2 2 2 3 3 3 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 9 15 24 31 52 67 76 79 79 76 66 56 54 57 68 81 88 90 84 62 39 20 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 2 3 3 3 3 3 4 5 6 6 6 6 7 6 7 9 10 9 9 8 7 6 9 11 13 14
3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 2 2 2 2 2 0 0 0 1 2 2 1 1 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 8 14 20 36 54 70 81 91 102 101 93 83 77 80 89 97 97 89 71 52 34 20 9 3 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 4 3 4 5 6 7 6 6 7 7 7 6 6 7 7 7 8 7 7 9 11 12 13
3 4 4 4 3 3 2 2 2 2 2 2 1 0 0 1 1 1 2 2 2 2 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 13 22 34 50 68 83 106 123 129 121 113 111 112 114 108 96 80 62 48 34 21 9 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 4 5 5 4 4 4 4 5 5 5 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 10 11 12
3 3 4 3 2 1 1 0 1 1 0 1 1 2 2 2 3 4 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 11 19 29 46 60 81 111 149 168 167 160 158 155 145 128 105 80 61 48 36 22 8 4 2 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 1 0 1 1 1 1 2 3 3 4 4 5 4 5 5 5 5 5 6 7 8 8 8 7 7 8 8 9 9 8 7 8 8 8 9 9 10 11
3 3 3 2 2 2 4 5 3 1 2 2 2 3 4 4 4 4 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 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 6 13 20 29 38 54 91 139 173 189 203 210 210 209 193 163 128 94 69 54 42 26 14 6 2 0 0 0 0 0 1 1 1 1 2 2 2 2 2 1 1 1 0 1 1 2 3 3 3 4 5 5 5 6 5 5 6 6 7 8 9 9 9 9 9 9 10 9 11 11 10 9 7 6 7 8 10 11
3 2 2 2 8 10 14 15 11 7 5 4 4 4 4 4 3 3 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 1 1 0 0 0 0 1 1 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 3 8 15 21 27 38 57 83 119 165 206 219 229 244 249 242 218 169 129 95 73 51 32 17 7 3 1 0 1 1 2 3 3 3 2 2 2 2 2 2 2 2 1 1 2 3 3 3 4 5 6 6 6 7 7 7 8 8 9 11 11 10 10 11 12 13 14 14 14 14 14 12 9 10 10 11 13 15
3 3 5 11 17 20 22 23 21 16 11 6 5 5 5 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 3 2 2 2 1 2 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 19 25 30 39 56 86 122 154 173 193 222 262 305 333 296 234 178 131 95 65 36 20 10 5 3 3 3 4 5 5 4 4 4 3 3 2 2 2 3 2 2 3 4 4 4 4 4 4 5 6 6 7 7 8 8 10 13 14 14 14 15 16 16 17 17 17 17 18 17 16 16 16 16 18 19
2 2 5 10 15 17 21 28 27 20 15 11 5 5 4 4 4 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 4 2 2 4 5 3 2 2 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 17 23 27 29 36 51 80 103 123 148 179 215 250 292 322 308 274 224 167 129 87 55 28 14 9 7 7 7 7 7 6 6 5 4 3 3 3 4 4 4 3 4 4 4 4 4 4 4 5 5 6 6 6 7 8 9 12 14 15 17 18 18 17 18 20 19 20 21 21 20 20 20 20 19 19
10 10 10 13 19 22 23 27 25 17 17 14 12 13 11 11 8 4 3 2 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 2 3 4 6 6 5 4 4 4 3 2 2 3 3 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 16 20 26 33 42 57 74 94 114 134 157 174 195 233 279 317 317 266 220 154 109 67 37 20 12 8 8 9 11 10 9 8 6 5 4 5 6 6 5 5 6 5 5 5 6 6 6 6 6 6 6 6 7 8 10 12 14 17 21 21 20 20 22 24 23 23 25 27 27 25 23 20 19 19
29 30 31 35 43 49 38 34 31 21 22 18 16 23 37 38 22 7 7 6 7 9 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 2 2 3 3 5 6 6 6 7 6 5 4 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 14 22 31 37 43 52 66 85 100 116 124 136 159 196 250 311 335 330 290 211 140 91 53 28 12 10 9 9 10 10 10 9 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 7 7 8 9 10 12 16 18 20 21 21 22 23 24 25 25 27 29 28 27 23 19 17 17
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48 38 34 40 49 60 67 66 54 49 38 31 28 28 31 31 25 18 27 41 60 65 57 43 31 14 4 11 15 14 13 11 8 6 6 5 4 4 4 4 4 6 5 5 6 9 11 7 5 5 4 3 4 5 6 6 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 6 30 59 86 113 141 167 177 190 194 201 214 239 265 259 205 158 124 97 73 54 43 34 28 29 29 29 30 29 28 26 25 25 23 21 19 15 11 9 7 4 3 3 3 2 3 5 9 11 13 14 13 13 13 13 13 14 17 19 20 20 22
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