Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 13 17 22 27 32 35 35 32 27 22 18 16 15 14 12 10 10 10 11 11 10 9 9 9 10 10 11 12 12 12 11 11 10 10 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 12 12 11 10 10 9 9 10 10 10 10 9 9 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 7 8 9 10 10 9 8 8 9 9 9 9 9 9 10 10 9 9 10 11 12 12 11 10 10 11 10 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 10 10 10 11 13 16 nan
nan 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 13 17 22 27 32 34 33 31 26 22 19 16 15 14 12 11 11 11 11 11 10 9 8 8 8 8 9 10 11 12 11 11 11 11 11 10 9 8 8 8 8 9 9 10 10 10 10 11 12 12 12 11 11 10 10 11 11 11 10 10 10 11 10 10 9 8 8 7 7 7 7 7 7 6 6 5 5 5 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 12 11 10 9 10 10 10 10 9 9 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 11 13 nan
nan 9 10 10 10 10 9 10 9 9 9 9 10 10 10 10 10 9 9 10 11 11 10 10 10 9 9 9 9 9 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 10 11 13 17 21 25 30 31 30 27 24 21 18 16 15 14 12 12 12 12 12 12 11 10 9 8 8 8 7 8 10 11 11 11 10 11 11 11 11 10 9 9 9 10 11 11 11 10 10 11 11 11 11 11 10 10 11 11 10 10 10 10 11 12 11 10 9 9 9 10 10 9 9 9 8 8 8 7 7 7 7 6 5 6 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 10 nan
nan 9 10 10 10 10 9 9 9 8 8 9 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 9 9 10 11 11 12 12 11 10 9 8 8 9 9 11 13 16 19 24 27 28 26 24 22 20 18 16 15 14 13 12 12 12 13 13 13 11 11 10 10 9 8 8 9 10 10 11 11 11 11 11 12 12 12 12 12 12 13 12 12 11 11 11 11 11 10 10 10 10 10 9 8 7 8 10 11 11 10 10 9 10 11 12 13 12 12 11 11 11 12 11 11 11 10 8 7 7 7 7 7 8 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 10 9 9 9 10 9 8 8 9 10 10 10 10 9 9 9 8 8 8 9 nan
nan 9 10 10 10 10 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 10 10 11 12 12 11 10 9 8 8 8 9 10 12 14 18 22 25 25 24 22 20 18 17 16 15 14 13 13 12 12 12 13 13 12 12 12 11 10 9 8 8 8 9 10 11 11 11 11 11 11 12 14 14 14 14 14 12 12 11 11 10 10 10 10 10 10 9 7 6 6 7 8 9 9 9 9 10 11 12 13 13 13 12 12 13 13 13 14 14 13 12 12 11 10 9 8 8 9 10 9 10 11 11 10 9 9 9 9 8 8 9 10 10 10 10 9 9 10 11 11 11 11 11 11 10 9 8 9 10 11 11 10 10 10 10 9 8 8 9 10 nan
nan 9 10 11 11 10 9 8 7 7 8 8 9 10 10 10 9 9 8 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 9 10 10 11 12 12 12 11 10 9 8 8 8 9 11 13 16 20 23 23 23 21 19 17 16 16 15 15 14 13 13 12 12 11 12 12 12 12 11 10 9 9 8 8 7 8 9 11 11 11 11 10 12 13 14 15 15 14 13 12 11 11 10 10 10 10 10 9 8 6 6 6 7 8 8 9 9 10 10 11 11 11 10 10 10 10 11 11 11 12 12 13 13 13 13 12 10 8 9 10 10 10 10 11 11 10 10 9 9 9 8 8 9 9 10 11 11 10 9 9 10 11 12 12 12 10 9 8 8 9 11 11 11 10 10 10 11 10 9 10 11 12 nan
nan 9 10 12 12 11 10 8 7 7 7 7 8 9 10 10 9 8 8 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 12 11 10 8 8 8 9 10 12 15 18 21 22 22 21 20 18 16 16 15 15 15 14 13 13 12 12 12 12 12 12 11 10 9 9 8 7 6 7 8 10 11 12 11 11 11 12 13 13 14 13 12 12 11 11 11 11 11 11 10 9 8 7 6 7 7 8 9 10 10 10 9 9 9 8 8 7 7 8 8 8 8 8 9 10 11 12 13 11 9 8 8 9 9 9 10 10 10 10 9 9 9 9 8 8 8 9 10 11 11 10 10 9 9 10 11 11 11 10 9 9 10 10 11 11 10 10 10 10 11 11 11 12 12 14 nan
nan 9 11 12 13 12 10 8 7 7 8 7 7 8 9 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 12 13 12 10 9 8 8 8 10 11 14 16 19 20 21 21 20 18 17 16 15 15 14 14 13 13 13 13 13 14 13 12 11 10 9 9 8 8 7 7 8 10 12 12 12 12 11 11 11 12 13 12 12 12 11 11 11 11 11 11 10 9 8 7 6 6 6 8 10 10 10 8 8 8 8 7 7 6 6 6 6 7 6 6 7 8 9 11 11 10 9 8 8 8 8 8 9 8 8 9 9 9 8 9 8 8 8 9 9 10 11 11 10 10 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 11 12 12 13 13 15 nan
nan 8 9 11 12 12 10 9 8 8 8 7 7 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 9 9 9 10 9 9 9 9 10 10 10 11 11 12 12 11 11 10 9 9 9 10 11 12 14 16 18 19 19 19 19 18 17 16 15 14 13 13 13 13 14 14 15 15 15 14 13 12 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 9 8 7 6 6 6 8 10 10 8 7 7 7 8 8 8 7 6 6 6 7 7 6 6 6 7 9 9 9 8 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 12 12 12 11 10 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 12 13 14 nan
nan 7 7 9 11 12 12 10 9 8 7 7 7 8 8 9 9 10 9 9 9 9 8 8 8 8 8 9 9 9 10 10 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 10 10 11 13 14 15 16 17 18 19 19 18 18 16 15 15 14 14 14 14 15 16 16 17 17 16 16 15 15 14 14 14 13 13 13 13 13 13 13 13 13 14 13 12 12 11 10 10 11 11 11 10 9 8 8 7 7 7 8 9 10 9 7 6 6 7 8 9 9 8 7 7 7 7 7 7 6 6 6 7 7 7 8 9 8 8 8 7 6 6 7 7 7 8 8 8 8 8 8 8 9 11 12 13 13 12 10 8 7 7 8 8 8 8 8 9 10 11 11 11 12 12 11 10 10 11 12 13 nan
nan 7 7 8 9 11 12 12 10 8 7 7 8 9 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 11 11 10 10 10 9 9 10 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 14 15 16 17 18 19 18 18 17 17 16 16 15 16 16 17 18 19 19 18 18 18 17 16 16 15 15 14 14 14 14 14 14 14 15 15 15 14 13 12 11 10 10 9 9 10 9 9 9 9 9 9 9 9 9 8 6 6 7 8 9 9 9 8 7 7 7 8 8 8 8 6 6 6 6 6 8 8 8 8 8 6 6 6 7 7 7 7 8 8 9 8 8 7 8 10 11 12 13 11 9 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 10 9 10 11 11 11 nan
nan 8 8 8 8 9 11 12 11 9 7 8 10 10 9 9 8 9 9 9 8 8 8 8 8 8 7 8 8 9 9 10 10 11 11 10 10 9 9 10 10 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 14 15 17 18 18 18 18 17 17 17 17 17 18 18 19 19 19 18 18 18 17 16 16 15 14 14 14 14 14 13 14 14 15 16 16 16 16 14 13 11 10 9 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 8 9 9 9 8 7 7 7 8 8 9 9 7 7 6 6 7 8 7 7 7 7 6 6 6 7 7 7 7 8 8 9 9 8 7 8 9 10 12 12 11 9 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 nan
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nan 8 8 7 8 8 9 10 9 8 7 8 9 10 11 11 10 9 9 9 9 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 15 16 16 16 16 16 16 16 17 17 18 18 18 17 17 17 16 16 16 15 15 15 14 14 14 14 14 15 15 16 17 18 17 16 14 13 12 12 12 13 13 13 13 13 14 13 13 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 7 7 8 9 10 10 9 8 7 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 11 11 10 10 9 9 9 8 8 7 8 8 8 9 8 8 8 8 8 9 9 9 9 9 8 nan
nan 8 7 7 7 8 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 13 14 15 15 14 14 14 15 15 15 15 16 16 16 16 16 16 17 17 17 16 16 15 15 15 15 15 16 16 17 17 17 16 16 15 14 14 14 14 14 14 15 15 16 16 15 14 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 7 6 6 8 9 10 10 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 8 8 8 9 8 8 8 8 8 8 8 9 9 9 10 9 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 13 14 13 13 13 13 13 13 13 13 13 14 14 15 15 16 16 17 17 17 16 16 16 16 16 17 17 17 16 16 16 15 15 15 15 15 16 17 18 20 21 21 22 21 19 17 16 15 15 14 13 12 11 11 12 12 12 12 12 12 11 9 8 6 6 7 9 9 10 10 10 9 9 9 9 8 8 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 7 8 8 9 9 8 8 8 8 7 7 8 8 8 9 9 10 nan
nan 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 10 8 7 7 9 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 15 15 13 12 12 12 12 11 11 11 11 12 12 13 13 14 14 15 15 15 16 16 16 16 16 16 16 16 16 15 15 15 15 17 18 20 22 23 25 26 27 27 27 26 25 24 23 22 21 18 15 12 11 11 13 13 14 14 13 11 10 8 7 7 7 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 11 10 10 10 10 9 8 7 7 7 8 9 10 9 8 7 7 7 8 8 8 8 7 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 11 9 7 7 8 9 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 11 15 18 21 20 17 14 12 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 14 15 15 16 16 15 14 13 14 16 20 22 24 24 24 24 24 24 25 26 27 28 28 28 27 25 21 17 14 14 15 15 15 15 14 12 11 10 9 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 11 11 11 10 8 7 7 8 8 9 10 10 9 8 8 8 8 8 8 8 7 7 7 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 10 10 10 9 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 9 8 7 7 9 14 20 24 25 22 19 15 12 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 13 14 14 14 13 11 10 11 14 16 17 16 15 15 15 16 18 19 21 22 24 26 28 29 28 27 24 22 21 20 18 17 16 14 13 13 12 11 10 10 10 9 9 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 12 12 13 13 12 11 11 11 10 8 8 8 9 10 10 11 10 9 9 8 8 9 9 9 8 8 7 6 6 nan
nan 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 11 10 9 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 9 10 10 10 11 10 9 8 7 5 5 7 11 16 21 23 24 22 20 15 12 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 12 11 10 8 5 4 4 4 6 6 5 6 7 8 10 12 13 14 16 20 23 26 29 31 31 30 29 27 25 23 21 19 17 16 16 15 14 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 10 10 10 10 9 10 11 11 11 11 10 10 10 9 9 9 9 9 9 8 7 7 6 6 nan
nan 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 9 9 10 10 11 11 11 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 10 9 7 5 3 4 7 10 12 15 18 21 22 22 18 15 12 10 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 9 9 8 5 1 -1 -3 -3 -3 -2 -2 -2 -1 1 5 7 8 10 11 13 15 18 21 24 27 30 31 31 31 30 28 26 23 21 19 17 17 17 16 16 15 15 14 14 14 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 13 14 13 11 11 10 10 10 9 9 9 9 8 8 7 7 6 6 7 nan
nan 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 11 11 11 10 10 9 9 9 8 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 9 9 10 10 11 11 11 10 9 7 3 1 3 7 10 11 12 13 16 19 21 19 16 13 10 8 8 8 9 9 9 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 5 2 -0 -2 -3 -3 -4 -4 -5 -5 -4 -2 1 4 6 7 8 9 11 12 14 17 20 24 27 29 30 32 32 30 26 23 21 19 18 18 18 18 18 17 17 17 17 16 15 15 15 14 14 14 15 14 12 10 8 8 8 8 8 8 8 9 11 14 15 13 12 11 11 10 10 9 9 8 8 7 7 6 6 6 6 7 nan
nan 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 7 7 7 8 8 9 10 10 11 11 11 11 10 10 9 8 8 8 8 9 9 9 9 9 10 10 10 9 9 10 10 9 9 9 9 10 10 10 9 10 10 11 11 11 11 9 6 2 1 4 7 9 10 11 12 13 15 18 19 17 14 11 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 7 6 4 3 2 2 2 1 1 -1 -4 -5 -4 -2 0 3 5 6 7 8 9 10 12 14 17 20 23 27 30 31 30 29 27 25 22 21 19 18 18 18 18 18 18 18 17 17 17 18 18 19 19 17 15 13 11 8 7 6 7 8 9 10 12 13 13 13 12 12 11 11 10 10 9 8 8 8 7 7 7 6 6 7 nan
nan 9 9 8 8 8 8 9 9 9 10 10 10 10 9 8 8 8 9 9 8 7 7 8 8 8 10 10 11 11 11 11 10 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 10 9 9 9 10 10 10 10 10 10 10 10 11 10 9 5 2 2 5 8 9 10 10 11 12 13 16 18 18 15 12 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 8 8 9 9 8 8 8 7 7 7 8 9 10 8 3 -1 -5 -6 -5 -2 0 3 5 6 6 6 7 8 10 11 14 17 21 25 27 29 30 31 29 26 23 20 18 17 17 17 17 17 17 17 17 17 19 20 20 19 18 17 15 12 9 8 8 9 10 10 11 12 12 12 12 12 12 12 11 10 9 9 9 9 9 8 7 7 7 8 nan
nan 9 9 9 9 8 9 9 9 9 10 10 11 11 10 9 8 8 8 8 8 8 8 7 7 8 9 10 11 11 11 11 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 5 3 4 6 8 9 9 9 10 11 12 15 18 18 17 13 10 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 9 8 8 9 12 15 14 11 7 2 -2 -5 -5 -4 -2 1 3 4 4 4 5 5 6 7 8 11 14 17 21 24 27 29 29 27 24 21 19 17 17 17 16 16 15 15 15 16 17 18 18 19 20 19 16 13 12 13 13 12 12 12 11 11 11 12 12 13 12 11 10 10 10 10 9 8 8 7 8 8 9 nan
nan 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 6 3 2 4 7 9 9 9 9 9 9 11 13 16 18 18 15 11 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 9 7 7 8 10 11 11 10 8 4 0 -2 -4 -5 -4 -1 0 1 1 1 2 2 2 2 3 5 8 11 14 18 22 26 27 27 24 21 19 16 15 15 15 14 14 14 14 15 15 16 17 19 18 17 16 16 17 17 16 15 14 12 12 12 12 11 10 9 8 8 9 9 8 8 7 7 8 8 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 8 8 8 7 6 6 6 8 9 9 10 10 10 10 9 9 9 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 7 4 1 1 3 7 9 9 9 8 8 8 9 10 13 16 18 17 13 9 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 6 3 2 3 5 7 8 8 7 6 3 0 -3 -5 -5 -4 -3 -2 -2 -2 -1 -1 -2 -3 -2 1 4 6 9 12 16 20 23 23 23 20 17 15 13 13 13 13 13 13 14 14 15 15 15 15 14 15 17 18 19 18 17 15 14 13 13 11 9 7 6 6 8 9 9 8 8 8 9 9 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 9 9 9 9 7 6 6 6 7 8 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 5 1 1 3 7 9 9 9 8 8 7 7 8 11 13 16 17 14 11 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 5 4 3 4 4 6 7 8 8 8 7 5 2 0 -2 -3 -3 -2 -2 -2 -1 -1 -2 -4 -5 -4 -2 0 2 4 6 9 13 16 19 19 18 15 13 11 11 11 12 12 13 14 15 15 14 13 12 13 15 17 17 18 17 15 14 12 11 8 6 5 7 9 10 10 10 10 10 10 11 11 12 12 11 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 9 8 8 9 9 8 7 6 6 7 8 9 10 10 9 9 9 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 8 5 2 2 5 8 10 9 9 8 8 8 8 8 9 12 15 15 14 11 10 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 8 8 8 7 6 5 4 3 3 3 3 4 4 3 1 -2 -4 -4 -3 -2 -1 -1 0 3 7 10 13 14 13 12 10 10 10 11 11 12 13 15 15 15 14 12 12 14 15 16 17 17 15 13 11 8 6 7 8 11 12 11 11 11 11 12 12 12 12 12 12 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 11 9 8 8 9 9 9 8 8 7 7 7 9 10 10 9 8 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 3 -0 1 5 9 11 10 10 9 9 9 9 9 10 11 13 14 12 11 10 9 8 8 8 8 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 11 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 5 4 2 0 -1 -1 -0 0 -0 0 2 5 8 9 10 10 9 9 10 10 11 11 13 14 14 15 14 13 12 13 13 15 17 16 14 13 11 9 9 10 12 13 12 11 11 11 11 11 12 12 12 11 10 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 9 9 10 9 8 7 7 8 10 10 9 8 9 10 11 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 9 9 8 3 -2 -0 4 8 11 11 11 10 10 10 10 10 10 12 12 12 11 11 10 9 8 8 8 8 9 9 9 10 10 10 10 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 11 12 13 15 14 13 11 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 5 4 4 4 4 4 4 5 6 8 8 9 9 9 9 9 9 10 11 12 12 13 14 14 13 13 12 13 15 15 15 15 13 11 11 11 12 13 13 12 12 12 12 11 11 10 10 9 8 7 7 nan
nan 8 9 9 9 9 9 9 9 8 8 9 9 10 11 11 11 12 11 10 9 9 10 11 11 9 8 7 7 9 9 9 8 8 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 9 9 7 4 1 1 4 8 11 11 11 11 11 11 11 11 12 12 12 11 10 9 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 15 16 15 13 11 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 10 10 11 11 11 10 10 10 10 10 9 10 11 12 13 14 15 15 15 14 13 13 14 14 14 14 13 12 12 11 11 12 12 13 13 13 12 11 9 8 7 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 12 11 10 10 11 11 11 9 8 7 6 8 9 8 8 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 10 10 10 10 10 9 8 6 3 2 3 6 9 11 11 11 11 11 12 13 13 14 14 12 9 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 14 15 15 15 13 12 10 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 10 12 14 16 16 16 15 15 15 15 14 14 14 13 13 14 16 18 19 20 20 19 19 18 17 16 15 14 13 12 11 11 10 10 11 12 12 13 12 10 9 8 7 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 10 11 11 11 11 12 11 11 9 8 7 6 7 8 9 8 7 7 7 7 7 8 9 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 8 5 1 -1 1 6 9 11 11 11 12 12 12 14 15 17 16 13 9 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 11 11 12 12 13 13 13 13 14 14 14 13 11 10 9 9 9 8 8 8 8 8 7 7 8 9 9 10 10 11 12 14 17 19 19 19 19 19 20 21 20 20 20 20 20 21 22 22 22 23 23 23 23 23 22 20 17 15 12 11 11 11 11 11 11 11 12 11 9 8 7 6 6 6 6 6 6 nan
nan 7 8 8 8 8 7 7 8 8 8 8 9 10 10 9 9 9 10 11 11 11 12 11 11 10 9 8 7 6 7 8 8 9 9 9 8 7 7 8 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 8 5 0 -2 -1 4 9 11 11 12 12 12 13 14 16 18 18 15 11 10 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 10 11 11 12 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 13 14 14 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 11 14 17 18 19 19 20 22 23 24 25 24 23 22 21 19 19 19 20 21 22 23 24 23 22 20 18 15 13 12 11 11 11 11 11 10 9 8 7 6 6 6 6 6 6 nan
nan 7 7 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 9 7 7 7 7 8 9 10 10 10 8 7 6 7 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 9 7 2 -2 -2 2 7 10 11 12 12 13 13 14 16 18 18 15 13 11 11 10 9 8 7 8 9 9 10 10 10 10 10 9 8 9 10 11 13 14 15 14 12 11 10 10 11 11 11 11 11 11 11 11 12 13 14 14 13 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 7 5 4 3 5 7 10 13 14 14 15 16 18 20 21 20 19 18 16 15 14 14 15 16 17 18 19 21 23 22 21 18 14 12 10 10 10 11 10 10 9 8 7 6 6 6 5 5 5 nan
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nan 8 9 10 11 11 11 12 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 13 14 14 13 13 16 19 22 22 19 17 15 15 15 14 13 12 11 11 11 10 9 8 8 7 7 8 8 8 8 8 9 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 9 8 8 9 9 10 10 11 11 11 11 10 10 9 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 10 9 9 8 8 9 10 12 12 12 12 12 10 9 8 7 nan
nan 7 9 10 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 9 9 10 11 12 16 19 21 20 19 19 19 19 18 17 16 15 14 14 13 12 11 10 9 8 8 8 8 9 9 9 9 8 9 9 9 10 10 11 11 12 12 13 13 12 12 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 8 8 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 13 12 12 12 12 12 11 11 10 8 9 10 11 11 10 8 7 8 8 9 9 10 11 12 13 13 12 10 8 7 nan
nan 7 9 9 10 11 11 11 11 10 10 11 11 11 11 12 13 13 13 12 11 10 10 10 10 10 11 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 10 13 15 17 18 16 16 17 18 19 19 17 16 15 14 14 14 13 11 10 9 8 8 8 8 9 9 10 9 9 8 8 8 8 9 9 10 10 11 12 12 12 12 11 10 10 11 11 11 10 10 9 9 9 8 8 9 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 8 9 9 9 9 8 8 8 9 9 10 10 11 10 9 9 9 9 10 11 12 13 13 13 12 12 12 13 13 12 10 8 8 9 10 10 9 8 8 9 10 11 11 11 11 12 13 13 12 11 9 9 nan
nan 9 9 9 9 9 8 8 8 8 9 10 10 11 11 12 13 13 13 12 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 9 10 13 15 16 15 13 12 13 14 16 15 14 13 11 11 11 12 11 10 9 8 7 7 8 8 9 9 9 9 9 9 8 7 7 7 8 8 9 10 11 12 12 12 11 11 10 11 11 11 11 11 11 11 11 10 9 9 10 11 12 12 12 12 12 12 12 11 11 11 11 11 12 11 10 10 8 8 8 8 8 8 7 6 6 6 6 7 9 10 10 10 8 7 8 8 9 10 11 12 12 13 13 12 13 13 13 13 11 10 9 9 10 10 9 9 9 10 12 12 12 12 11 12 13 12 12 11 10 10 nan
nan 12 11 10 9 7 5 4 5 5 7 8 9 10 11 12 12 12 12 11 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 10 11 13 14 14 13 12 11 11 11 11 11 10 9 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 10 11 12 12 11 11 10 10 10 11 11 11 12 12 12 12 12 12 11 10 10 11 12 12 12 12 12 12 12 11 11 12 12 12 11 11 10 10 9 9 9 8 8 7 7 6 6 6 7 8 9 9 8 7 7 7 8 9 10 10 11 12 12 12 12 12 13 13 12 11 11 11 11 12 11 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 nan
nan 16 16 15 13 9 6 4 3 3 4 6 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 12 11 11 11 10 10 9 9 9 9 10 10 11 12 13 12 12 11 11 10 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 11 10 10 9 10 10 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 12 12 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 8 7 7 7 8 9 9 10 10 11 12 12 12 12 12 12 12 11 11 11 12 13 13 13 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 nan
nan 17 20 20 20 16 10 7 4 4 5 6 7 8 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 8 7 7 7 8 9 9 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 8 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 10 11 11 12 12 12 12 13 12 11 10 10 11 12 13 12 12 12 12 12 13 13 13 13 12 11 11 11 11 12 12 12 nan
nan 15 19 22 23 20 14 10 7 7 7 8 8 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 9 9 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 10 10 10 11 11 11 11 10 10 10 10 10 11 11 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 10 9 9 9 10 11 11 11 12 12 12 12 12 11 10 9 10 11 11 11 11 11 11 12 13 13 13 13 12 12 12 12 12 12 12 11 nan
nan 13 16 20 22 20 16 12 9 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 9 9 9 10 11 12 12 13 13 13 13 12 10 9 8 7 8 9 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 10 10 9 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 11 12 11 11 11 10 10 10 10 11 11 11 12 12 12 11 11 11 12 12 12 12 13 13 13 12 11 10 10 9 9 10 11 11 12 12 12 12 12 11 10 9 9 9 10 10 10 10 10 10 11 12 13 13 13 12 12 12 12 11 11 11 11 nan
nan 12 14 17 18 18 16 14 11 9 8 8 9 10 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 8 8 8 9 9 10 11 13 15 15 16 14 11 8 6 4 5 7 9 10 10 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 9 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 10 11 11 12 12 12 12 11 11 10 9 9 9 10 9 9 9 9 9 10 11 12 12 12 12 12 11 11 11 10 10 10 nan
nan 12 13 14 15 17 18 17 14 11 9 9 9 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 16 18 19 19 16 10 6 2 -0 2 6 8 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 11 11 10 10 10 9 8 8 9 10 10 11 12 12 12 12 11 11 10 10 10 10 10 9 9 8 8 9 9 9 10 11 11 11 11 11 11 10 10 10 10 nan
nan 12 12 13 14 16 17 17 16 13 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 11 11 11 10 10 10 11 11 11 11 11 11 11 10 11 11 10 10 10 10 10 11 12 13 13 14 16 19 21 21 20 16 10 5 0 -2 0 4 7 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 11 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 11 12 12 12 12 11 11 12 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 nan
nan 12 12 12 13 14 15 15 15 14 13 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 10 10 10 10 10 10 11 11 11 10 11 11 12 13 14 15 17 19 21 23 22 18 12 7 1 -2 -0 3 7 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 12 12 12 12 12 13 13 12 11 10 9 9 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 nan
nan 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 12 13 14 15 17 20 23 23 20 15 9 2 -1 1 3 7 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 12 11 11 11 11 11 12 12 12 12 13 12 11 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 12 11 12 12 12 12 12 15 18 22 24 22 17 10 5 3 3 5 8 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 12 12 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 11 11 10 10 9 9 9 10 10 11 12 12 12 12 12 13 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 11 10 10 10 11 11 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 nan
nan 12 12 13 12 12 12 12 12 12 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 10 12 15 18 20 19 16 11 8 7 7 8 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 11 10 10 10 10 10 11 10 10 10 10 10 10 11 12 12 13 13 13 13 13 12 12 12 11 11 10 10 10 10 11 10 10 11 11 11 12 12 13 13 13 12 10 10 10 10 11 11 12 12 12 11 11 10 10 10 11 11 10 10 10 10 10 9 9 10 10 10 11 10 11 nan
nan 13 13 13 13 12 12 12 12 12 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 11 12 14 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 12 12 12 11 11 11 11 11 12 12 12 12 13 13 13 13 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 12 12 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 13 12 11 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 10 10 11 11 11 nan
nan 13 13 13 13 12 12 12 12 12 12 11 11 12 11 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 12 11 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 11 11 11 nan
nan 14 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 12 11 11 12 12 12 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 13 13 12 12 12 11 12 12 13 12 11 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 9 9 10 11 10 10 nan
nan 14 14 13 13 13 12 12 12 12 11 11 11 11 12 12 11 11 12 12 13 13 12 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 11 10 10 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 12 12 11 11 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 11 11 nan
nan 14 14 14 13 13 12 12 12 12 11 11 11 11 12 12 12 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 9 8 8 9 10 11 11 12 12 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 12 12 12 12 12 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 11 11 12 12 13 12 12 12 11 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 nan
nan 14 14 14 14 13 13 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 9 9 8 8 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 nan
nan 15 14 14 14 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 12 12 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 11 12 12 12 12 13 13 13 12 12 12 12 12 12 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 12 13 13 13 13 13 13 13 13 13 13 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 12 12 12 12 12 12 12 11 11 11 10 11 11 11 12 12 12 12 12 12 11 nan
nan 15 15 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 13 13 13 13 13 13 12 12 12 12 11 11 10 9 9 10 11 11 12 11 11 11 11 10 10 10 10 11 11 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 11 11 11 10 11 11 11 11 10 10 11 11 10 nan
nan 15 15 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 13 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 14 14 14 13 13 12 11 11 11 9 8 8 8 10 11 12 12 12 11 11 11 11 10 10 11 12 12 13 13 13 13 13 12 12 13 13 12 12 13 13 14 13 12 11 11 10 11 10 10 11 11 10 10 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 10 11 10 10 10 10 10 10 10 nan
nan 15 15 14 14 14 14 13 13 13 13 13 12 12 12 13 13 13 13 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 13 12 12 13 13 13 13 12 12 11 12 12 12 12 12 12 12 11 12 11 11 11 10 11 11 12 13 14 15 16 15 14 12 12 11 11 9 7 7 7 9 10 11 12 12 11 11 11 11 11 11 12 14 15 15 15 14 13 11 11 10 11 12 12 13 13 14 15 14 13 12 11 11 11 11 10 11 11 10 10 11 11 12 13 13 12 12 12 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 nan
nan 15 15 15 15 15 14 14 14 14 13 13 12 12 12 12 13 13 13 12 12 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 11 12 14 15 17 16 15 13 12 12 11 9 7 6 7 8 10 11 11 12 11 11 11 11 11 13 15 17 17 17 16 14 12 9 8 7 9 11 12 13 13 14 14 14 13 13 11 11 10 10 10 11 11 11 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 nan
nan 15 15 15 15 15 15 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 11 11 10 10 11 12 13 15 16 16 15 14 13 14 13 10 9 7 6 8 9 10 11 11 11 10 10 10 12 15 18 19 19 17 15 12 9 7 5 6 9 12 14 14 13 13 13 13 13 13 12 11 11 10 10 11 10 11 10 10 10 10 11 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 10 11 11 11 11 11 11 nan
nan 16 15 15 16 16 16 15 15 14 14 14 13 13 13 13 12 12 12 12 13 13 13 12 12 12 12 11 11 12 12 12 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 12 11 11 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 11 10 10 10 11 11 12 14 15 15 14 14 15 15 15 13 11 9 7 8 9 10 11 11 10 10 10 10 12 16 18 19 18 16 14 11 8 6 5 6 10 13 14 13 12 11 11 12 13 13 13 12 11 11 10 10 10 11 11 10 10 10 11 11 11 11 11 10 10 10 11 11 12 13 13 12 11 11 10 11 11 11 11 10 10 nan
nan 16 16 16 16 16 16 16 15 15 15 14 14 14 14 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 11 11 11 12 13 13 14 14 15 16 16 15 14 13 11 9 9 9 9 10 10 10 10 10 11 13 16 18 18 17 14 12 10 8 7 6 8 11 13 13 10 9 8 10 11 13 13 13 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 11 10 10 11 11 11 11 11 10 nan
nan 17 17 17 17 17 17 16 16 16 15 15 15 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 13 14 14 15 15 15 14 14 14 13 11 10 9 9 10 11 11 11 12 13 16 17 19 18 15 13 11 9 8 7 7 9 11 11 10 8 7 8 10 12 13 13 13 13 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 11 11 11 11 12 12 12 12 11 nan
nan 17 17 17 17 17 17 17 17 17 16 16 15 15 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 13 12 12 12 11 11 11 11 11 12 13 13 13 13 13 14 15 16 15 13 13 13 14 14 13 11 10 10 11 12 13 13 14 16 18 19 19 17 14 13 11 9 7 6 6 8 10 10 8 7 6 7 9 10 11 12 13 13 13 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
11 13 13 11 8 6 5 5 6 6 5 3 4 6 8 7 5 5 3 2 2 5 7 10 11 11 11 10 9 7 5 3 2 2 4 7 10 16 25 38 56 74 86 94 98 102 100 97 94 89 80 63 41 22 12 7 4 2 1 1 1 1 1 2 16 36 48 44 26 10 10 12 12 12 13 14 16 23 34 45 63 101 151 239 342 423 492 555 602 596 540 488 455 416 368 315 275 280 284 297 322 358 402 437 442 427 402 375 356 358 378 402 416 412 387 355 355 363 367 363 341 308 269 238 216 184 155 135 122 114 105 95 86 84 90 100 118 150 175 197 218 247 276 261 204 133 81 82 48 30 34 47 50 33 10 7 40 97 146 108 80 65 77 115 157 184 185 154 103 57 35 30 31 41 59 77 83 83 76 68 72 82 78 76 76 74 73
12 15 17 17 14 9 7 5 4 5 6 5 9 8 6 5 4 3 2 2 3 6 7 10 11 10 10 10 9 6 4 3 2 1 0 2 7 13 22 37 56 72 80 84 89 96 96 91 85 80 73 60 40 21 10 5 3 2 2 1 1 1 1 2 13 35 46 37 23 12 11 13 16 17 19 21 26 36 52 72 99 134 172 238 333 420 493 571 634 645 595 536 492 456 416 369 326 303 295 301 321 353 402 438 454 449 422 377 334 323 334 350 356 340 316 287 283 301 326 342 340 325 300 274 255 226 191 162 143 134 123 111 101 98 102 116 133 147 161 166 170 218 255 270 249 188 100 99 79 67 65 65 57 38 21 23 57 120 160 102 58 39 52 103 148 167 158 128 91 59 46 41 42 48 58 66 73 73 67 65 66 71 66 61 57 53 47
12 15 17 17 17 15 12 9 7 7 8 7 7 7 6 5 3 1 2 4 4 5 6 9 10 9 9 9 9 8 6 5 3 1 1 2 7 13 21 36 54 67 70 71 74 80 80 76 72 68 64 54 34 18 9 5 3 2 1 1 1 1 1 2 7 24 34 23 14 10 9 12 17 23 30 33 36 43 56 80 104 137 166 204 267 358 457 544 606 634 625 590 557 526 492 450 404 373 353 351 361 381 427 464 479 460 406 328 284 273 280 286 276 249 234 218 220 243 275 300 314 319 316 309 295 267 241 212 184 167 154 140 129 120 118 130 148 167 174 160 126 160 203 244 267 251 175 143 116 100 89 78 71 52 35 36 71 146 124 88 49 25 33 93 130 143 134 108 78 57 47 43 45 55 71 78 71 59 49 58 56 50 42 37 35 36 30
12 14 14 16 19 21 20 17 14 12 11 10 8 7 6 4 3 1 1 1 2 4 6 8 10 10 11 11 11 11 10 8 6 3 3 3 6 12 20 31 46 55 57 56 57 60 59 58 57 55 52 45 31 19 9 4 3 2 1 1 1 1 1 1 3 10 15 10 6 7 9 15 24 38 51 59 64 68 72 79 98 126 154 180 208 273 379 470 536 577 598 619 629 621 596 558 521 491 459 437 434 448 478 496 485 432 341 258 223 215 217 214 198 171 154 144 145 159 192 224 258 293 321 330 317 296 274 252 228 205 189 174 160 147 133 129 132 147 164 170 146 154 171 202 236 256 225 190 153 126 110 89 79 63 48 51 94 163 161 119 68 41 31 65 90 100 95 76 55 41 35 36 47 65 75 75 68 56 41 49 42 29 20 19 21 23 21
13 14 13 14 17 20 22 20 18 15 14 13 12 10 7 3 2 1 1 1 2 5 6 9 10 12 13 14 14 14 13 11 9 6 5 3 5 9 15 23 34 39 41 42 43 44 42 41 41 40 39 35 28 20 12 5 2 2 1 1 1 1 1 0 3 8 13 12 5 7 13 24 41 63 79 91 98 101 101 104 111 127 150 172 179 220 313 408 483 530 569 620 655 669 664 648 636 602 558 524 505 503 503 488 440 355 252 183 158 161 174 172 146 112 88 72 64 63 88 117 158 205 246 264 263 260 255 247 236 216 201 191 182 170 153 137 123 124 136 143 150 160 169 183 210 235 227 190 152 133 119 96 77 61 52 60 117 173 182 147 89 70 56 60 64 66 65 52 36 29 30 34 53 69 78 82 83 76 62 54 41 26 17 13 15 16 15
10 12 12 13 15 18 21 21 20 18 16 15 15 12 7 4 3 1 2 2 3 5 7 9 10 12 15 16 17 17 16 14 11 10 8 6 5 7 11 16 23 25 27 30 32 33 31 30 28 28 29 28 25 21 17 11 5 2 1 1 1 2 1 0 4 12 22 30 17 14 19 30 47 68 87 100 108 110 109 111 119 130 148 171 186 231 300 375 441 482 521 564 604 633 648 638 627 590 552 523 497 479 453 405 329 233 154 115 113 136 157 135 94 61 41 31 26 24 29 44 68 97 121 124 136 153 166 173 175 169 166 165 165 164 154 142 129 122 126 131 143 157 169 179 199 218 216 178 132 120 109 93 82 72 59 65 107 151 173 155 103 92 85 82 76 61 46 28 22 27 34 39 55 70 87 104 111 102 90 76 55 31 21 17 19 22 23
9 10 12 12 14 18 21 23 23 21 18 17 17 16 13 8 3 2 3 3 3 4 5 8 10 12 14 17 19 18 17 15 12 11 11 9 9 10 12 13 17 18 19 20 23 25 26 25 23 22 24 27 27 26 24 19 10 3 1 1 2 2 1 1 3 11 24 38 36 34 34 37 45 60 76 90 99 105 108 110 115 124 139 160 182 216 263 321 380 422 435 459 504 559 585 574 535 488 441 403 373 356 323 265 189 115 74 71 92 120 134 107 70 43 28 22 20 19 20 25 32 37 45 44 48 57 67 75 79 85 93 101 109 119 121 118 113 113 118 125 138 152 165 179 195 210 203 172 128 106 96 86 80 75 63 72 103 143 169 160 125 106 94 82 66 48 32 23 26 38 44 57 72 84 98 119 124 124 120 108 86 58 38 29 25 24 33
8 10 11 12 13 13 17 22 22 20 18 18 19 18 16 11 4 2 2 3 4 5 7 8 9 11 14 17 18 19 18 16 14 12 12 12 13 14 15 14 15 14 13 14 17 20 23 26 29 32 31 32 31 28 23 19 14 9 5 3 3 3 2 2 2 6 15 28 41 49 54 58 61 70 82 93 105 116 126 133 137 141 152 167 187 211 245 284 323 370 405 448 499 541 549 518 444 355 277 231 193 180 157 118 76 44 32 45 73 98 108 90 61 39 27 22 20 19 20 19 16 12 16 16 14 12 15 17 19 22 27 35 47 59 64 69 76 85 94 107 119 129 141 159 189 204 198 178 145 109 91 81 72 66 62 75 108 150 179 160 119 92 75 57 35 28 29 30 37 58 62 70 76 78 80 109 119 124 124 114 83 54 43 34 23 12 26
9 10 11 12 12 11 15 18 19 18 16 15 18 18 16 12 7 4 4 5 6 7 9 10 10 12 14 17 19 19 18 17 15 14 13 13 14 15 16 16 14 11 9 10 14 18 23 30 37 43 46 36 32 32 31 31 31 28 23 15 9 5 4 3 1 2 5 14 25 38 53 69 80 88 97 108 118 129 143 156 163 168 177 192 211 231 252 274 291 332 385 449 511 547 516 436 331 222 133 102 67 54 43 30 21 17 17 31 55 75 85 75 55 35 23 16 15 14 13 12 9 7 8 9 7 3 2 2 2 2 3 6 11 16 19 27 44 62 67 74 81 85 90 111 138 165 186 194 179 140 109 89 77 75 74 77 95 120 129 103 73 54 44 35 26 27 36 43 42 52 55 59 67 79 87 89 86 79 67 49 29 17 10 6 2 3 12
8 9 9 11 12 11 13 14 14 13 13 13 14 16 17 16 13 10 7 7 7 8 10 11 11 13 15 18 19 19 18 17 16 15 14 13 13 13 14 14 12 10 8 9 10 16 24 34 42 46 45 36 33 36 44 52 54 51 45 36 25 12 7 4 3 2 2 4 9 18 32 46 61 76 92 106 114 128 142 155 165 175 186 203 217 227 238 252 271 303 352 406 449 470 395 294 195 109 40 29 17 11 8 7 8 8 12 23 40 56 63 56 42 26 15 11 8 6 6 9 11 12 11 8 5 3 2 1 0 0 0 0 1 1 6 16 36 51 53 51 47 42 43 62 86 115 149 182 195 175 144 114 86 78 81 93 107 112 94 63 40 30 27 26 27 30 35 35 31 35 38 41 45 53 53 49 41 30 19 8 4 1 1 2 2 3 6
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