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 11 12 12 12 11 11 13 14 14 12 10 10 9 9 9 9 9 9 8 8 9 11 12 12 12 12 11 10 9 9 9 10 10 11 13 14 15 13 9 7 5 4 3 4 8 13 19 26 30 29 26 23 21 18 16 14 13 12 11 10 10 10 11 12 13 13 12 12 11 11 12 13 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 8 8 7 7 6 6 8 9 10 11 11 11 nan
nan 12 13 13 12 9 9 11 12 13 11 10 9 8 8 8 10 10 10 9 8 9 11 12 12 12 12 11 10 10 9 9 8 9 11 13 15 15 12 8 6 5 5 5 6 8 12 17 24 29 29 28 26 22 19 17 15 14 13 11 10 10 10 10 11 12 12 12 11 11 10 10 11 12 12 11 11 10 9 9 9 9 10 10 10 9 9 9 8 8 8 9 10 10 10 9 10 9 9 9 9 10 9 8 7 8 9 9 10 10 10 10 nan
nan 13 14 14 11 10 9 10 12 12 11 11 11 11 10 11 12 12 11 9 9 11 11 12 12 12 11 11 11 10 9 8 8 8 10 12 13 12 10 8 6 6 6 7 8 9 10 15 21 26 28 29 28 24 21 18 16 15 13 12 11 10 10 11 11 11 12 12 11 10 10 10 10 11 12 12 12 11 10 9 9 10 10 10 10 10 10 10 9 8 8 9 10 10 10 9 9 9 9 9 10 10 10 9 8 8 9 9 10 11 10 9 nan
nan 13 13 12 11 11 12 12 14 14 15 15 15 14 14 14 15 14 13 12 12 13 13 13 12 12 12 11 11 11 10 9 8 8 9 10 11 10 9 8 6 6 7 8 9 9 10 13 18 22 26 30 30 26 23 20 17 15 14 13 12 11 11 11 11 11 12 12 12 11 11 10 10 10 11 11 12 12 11 10 10 10 10 9 9 10 10 10 9 9 8 9 10 10 10 10 10 9 9 9 9 10 9 8 8 8 8 9 10 11 10 10 nan
nan 11 11 11 11 12 13 15 16 17 17 17 16 16 16 17 18 16 15 15 15 15 14 14 13 13 12 12 12 12 12 10 9 8 8 9 10 10 10 8 7 6 7 8 9 10 11 12 14 18 24 29 30 30 27 23 18 15 13 12 12 12 11 11 11 10 11 11 12 12 12 11 10 10 10 10 11 12 11 11 10 10 9 9 9 9 10 10 10 10 9 9 10 10 9 10 10 10 9 9 9 9 9 9 8 9 9 9 10 10 10 10 nan
nan 10 9 10 10 11 13 15 16 16 16 15 15 16 18 19 20 19 16 16 15 15 14 13 13 14 14 15 15 14 13 12 10 9 9 10 11 12 11 9 7 7 7 9 10 11 11 11 12 16 21 26 29 32 30 26 21 17 14 11 10 11 11 11 11 10 9 10 10 11 11 11 10 10 10 10 11 12 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 nan
nan 9 8 8 9 10 11 12 12 12 11 10 12 15 17 19 20 19 17 15 13 12 12 12 13 15 16 17 16 15 14 13 12 11 12 13 14 14 12 10 9 8 8 8 10 11 11 11 12 13 17 21 26 30 32 30 27 23 17 12 11 10 10 11 11 10 10 9 9 10 10 10 10 10 9 9 10 11 12 12 12 11 11 10 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 nan
nan 9 8 8 8 10 10 10 9 7 6 7 11 14 16 17 16 15 13 12 10 9 10 12 14 16 17 17 16 16 16 15 14 14 15 15 16 15 14 12 10 9 8 9 10 11 11 11 11 12 13 16 21 26 29 30 30 27 22 18 14 12 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 nan
nan 9 8 8 9 10 10 9 8 6 5 7 11 14 14 13 12 11 10 9 8 8 9 12 14 15 15 16 17 17 17 16 16 16 16 17 17 16 14 12 11 9 8 9 10 11 11 11 10 10 11 13 17 20 24 27 29 29 27 24 21 16 13 12 11 11 11 11 11 10 10 10 9 9 9 9 8 9 10 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 nan
nan 9 9 9 10 11 11 10 8 6 6 10 13 15 14 12 11 10 9 8 8 9 10 12 13 13 13 14 17 18 17 16 16 17 17 17 16 15 13 11 10 8 8 9 9 10 11 10 9 9 9 11 12 14 17 22 25 27 28 28 25 22 19 16 14 11 10 11 11 11 11 11 11 11 10 9 9 8 8 9 9 11 11 12 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 nan
nan 10 10 10 11 11 11 10 7 6 7 12 15 15 14 11 10 10 10 9 10 10 11 12 11 11 11 12 14 15 14 14 15 16 16 16 15 13 11 10 9 8 9 9 9 10 10 9 9 9 10 10 10 10 13 16 19 22 25 27 27 26 24 21 18 14 12 11 11 11 12 12 12 12 11 10 10 9 9 8 8 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 13 12 12 nan
nan 10 11 11 11 11 11 9 7 6 8 11 14 14 13 11 10 10 9 9 10 11 11 11 11 10 9 9 10 11 12 12 13 14 15 15 14 12 10 10 9 10 10 10 10 10 10 10 9 10 11 12 12 10 11 12 14 17 20 23 25 26 26 25 22 18 15 13 11 11 10 10 11 12 12 12 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 11 12 12 12 12 12 13 13 12 12 nan
nan 10 11 11 11 10 9 9 8 8 9 10 12 13 12 10 9 9 9 9 10 10 10 10 10 9 8 8 8 9 10 10 11 11 12 13 13 11 10 10 10 11 11 11 11 11 10 10 9 10 11 12 12 11 9 9 10 12 15 18 21 24 25 25 24 22 19 16 14 12 11 9 10 10 11 12 12 12 12 11 10 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 11 11 12 12 13 13 13 13 12 12 nan
nan 11 11 11 10 9 8 8 9 9 9 10 11 11 11 9 8 8 8 8 9 10 11 10 9 8 8 8 8 9 9 9 10 10 10 11 12 11 10 10 10 11 11 10 11 11 10 9 8 8 8 9 8 7 7 6 7 8 11 13 16 19 20 21 20 20 19 19 18 17 15 12 10 10 10 11 12 12 13 13 12 11 10 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 12 12 13 13 13 12 12 11 nan
nan 11 11 11 10 8 7 8 9 9 9 10 10 10 10 9 8 8 8 8 9 10 11 10 9 8 8 8 9 10 10 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 8 8 7 7 7 6 5 5 5 5 5 6 8 10 12 13 13 14 15 16 19 22 23 22 19 15 13 11 10 11 12 13 13 13 12 12 11 10 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 9 10 10 11 12 13 13 13 12 12 11 nan
nan 10 10 10 9 8 7 8 8 9 9 9 10 10 9 9 8 8 8 8 10 10 11 10 10 9 9 9 10 11 12 14 15 16 15 14 13 12 11 11 10 10 9 9 9 10 10 9 9 9 8 8 7 7 6 6 6 5 5 5 6 6 6 7 9 12 16 19 22 24 25 25 22 18 15 12 11 11 12 12 13 12 12 12 11 11 10 10 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 10 11 12 13 13 13 12 12 12 nan
nan 10 10 9 8 7 7 7 8 8 9 9 9 9 9 9 9 8 8 9 10 11 11 11 10 10 10 10 11 12 14 16 18 18 17 15 13 13 12 12 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 7 7 6 5 5 4 5 8 12 15 17 18 20 23 25 26 24 21 17 14 12 11 11 12 12 11 11 11 11 11 10 10 10 9 9 9 8 7 7 7 7 7 7 8 9 9 10 10 11 12 12 12 12 12 12 nan
nan 10 10 9 8 7 6 6 7 8 8 8 8 9 9 9 9 8 8 10 11 11 11 11 10 10 10 11 12 13 15 17 19 18 16 12 13 13 14 13 11 10 9 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 8 10 11 12 13 15 18 22 26 27 26 22 18 15 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 8 7 7 7 7 8 8 9 9 10 11 11 12 11 11 11 11 nan
nan 9 9 8 7 6 5 5 7 8 8 8 9 10 10 10 9 9 10 10 11 11 11 10 10 10 11 12 13 15 16 17 18 17 12 9 9 11 14 15 13 12 10 9 7 7 7 7 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 11 13 15 18 21 25 28 27 26 22 18 15 12 11 11 11 11 11 11 11 12 11 11 11 11 11 11 10 9 8 8 7 8 8 8 8 9 10 11 11 11 11 10 10 10 nan
nan 8 7 5 5 5 6 6 7 8 8 9 11 11 11 9 9 9 10 11 10 10 10 10 10 11 11 12 13 14 15 16 16 14 8 5 4 6 11 14 14 14 13 9 7 6 6 7 8 10 11 11 11 10 9 9 9 9 9 9 9 10 10 9 9 10 11 12 14 16 19 22 24 26 26 25 23 21 18 14 12 11 10 11 11 12 12 12 12 12 11 12 12 12 12 11 10 9 8 8 8 8 9 9 10 11 11 11 10 10 10 10 nan
nan 7 6 5 6 7 8 8 9 10 10 11 12 11 9 8 8 10 11 11 10 10 10 10 10 11 11 11 11 12 12 13 13 9 5 2 0 2 7 11 14 16 14 10 8 7 6 7 8 10 11 12 12 10 10 9 9 9 9 9 9 9 10 10 10 11 13 14 15 15 16 19 20 21 21 22 22 21 19 17 15 13 12 11 11 12 12 12 13 12 12 12 12 13 13 12 11 10 9 9 9 9 9 10 10 11 11 11 10 10 10 10 nan
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nan 10 10 10 8 6 7 9 10 10 9 8 8 9 9 8 8 9 10 10 10 10 10 10 9 8 7 8 9 10 10 9 7 5 2 -0 -1 -0 2 6 10 13 14 14 11 9 8 8 9 11 13 13 13 12 10 8 7 7 8 8 9 9 10 13 16 17 15 13 11 10 10 10 11 11 12 13 14 16 17 18 19 19 19 18 16 14 13 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 nan
nan 9 9 8 7 7 9 10 10 9 8 7 8 8 8 8 8 8 8 10 11 12 11 10 9 9 9 11 11 11 11 9 8 5 3 1 -0 -0 2 6 10 13 15 14 12 10 8 8 9 11 12 13 13 12 10 8 7 7 8 8 9 9 10 11 13 13 12 11 10 9 9 10 10 11 11 11 12 14 15 17 18 19 19 19 18 17 15 14 13 12 12 12 13 13 12 11 11 10 10 10 11 11 12 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 10 11 12 12 10 8 8 8 9 9 8 8 7 8 9 11 13 12 11 9 8 9 10 10 11 11 10 8 7 5 3 2 1 2 3 6 10 13 14 14 12 10 9 8 9 10 11 13 12 11 9 8 7 8 9 9 9 10 10 9 9 9 10 11 10 9 9 9 10 10 11 11 11 12 14 15 16 18 19 19 19 18 17 15 14 13 12 12 12 12 13 12 12 11 11 11 11 11 12 12 12 11 11 10 11 11 11 11 nan
nan 10 10 11 13 13 12 11 9 8 8 9 10 10 9 9 9 10 12 13 13 10 7 6 7 8 9 9 9 9 8 7 5 4 3 4 4 5 6 8 10 12 13 12 11 10 9 8 8 9 11 12 12 11 9 7 8 9 9 9 10 10 9 9 8 10 11 12 11 10 9 9 10 10 10 10 11 12 12 14 15 16 17 19 19 19 19 18 16 14 13 13 12 12 12 12 13 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 nan
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nan 11 11 12 11 11 9 8 8 9 10 10 11 11 11 11 11 12 12 11 9 8 8 9 10 11 11 11 10 9 8 8 9 9 10 10 11 12 14 14 12 11 10 10 11 10 9 8 7 8 10 11 12 11 9 8 9 9 10 10 10 10 10 10 11 12 13 14 12 10 10 9 9 10 10 10 10 11 12 13 13 14 15 16 18 19 20 20 21 20 20 19 19 18 17 16 15 14 13 12 12 12 12 12 12 11 10 10 11 11 11 11 nan
nan 11 11 12 11 11 10 10 10 10 11 11 12 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 13 15 16 16 16 15 16 16 15 13 11 10 11 11 10 9 8 7 9 10 11 12 10 8 8 8 9 10 10 10 10 10 10 11 11 12 13 12 11 10 10 10 9 9 10 10 10 11 12 12 13 14 15 16 17 18 19 20 21 21 22 22 23 22 21 20 19 18 17 15 15 15 15 14 13 12 11 11 11 10 10 nan
nan 11 11 11 10 10 9 10 11 11 11 12 14 15 15 14 13 14 14 15 15 16 16 16 16 15 15 15 15 15 16 17 17 18 19 19 19 18 17 15 13 11 11 12 12 10 9 8 8 9 10 12 11 9 8 8 8 9 10 10 10 10 10 10 10 11 12 13 12 12 11 10 10 10 10 9 9 10 10 11 12 13 14 14 15 16 17 18 19 20 21 23 24 25 26 26 26 25 25 23 22 21 21 21 21 21 20 19 18 16 14 13 nan
nan 10 8 7 6 7 8 10 11 11 11 13 15 16 16 15 15 15 16 17 17 18 18 18 18 18 18 17 17 16 16 16 16 17 18 18 18 17 15 12 11 11 12 12 12 11 10 9 9 9 11 12 11 10 8 7 8 10 10 10 10 10 9 10 10 11 12 13 13 13 12 11 11 11 10 10 9 10 10 11 12 13 14 15 15 16 16 17 19 19 21 22 23 25 26 28 28 28 28 28 27 26 26 28 29 30 30 30 29 27 24 22 nan
nan 7 5 4 5 7 9 11 11 11 11 13 15 18 18 17 16 15 15 16 17 18 18 18 17 17 18 18 18 17 16 15 15 15 15 15 15 13 11 10 10 10 12 13 13 12 10 9 9 10 11 12 11 10 9 8 9 9 10 10 10 9 9 9 10 11 13 14 15 14 13 13 12 11 11 10 10 11 11 12 13 14 15 15 16 16 16 17 17 18 19 20 21 23 24 26 27 28 29 29 29 29 30 31 33 35 36 36 35 34 33 30 nan
nan 7 6 7 8 9 10 12 12 11 11 12 15 18 19 19 18 16 16 17 16 16 15 14 14 14 15 17 17 17 16 15 14 14 14 13 12 10 9 9 9 10 12 13 13 12 11 10 9 10 11 12 11 10 9 8 9 9 9 10 9 9 9 9 10 11 12 14 16 16 15 14 13 12 12 12 12 12 13 14 14 15 15 16 16 16 16 16 16 17 17 18 19 20 22 23 24 25 26 26 27 27 29 30 31 33 34 33 29 26 25 27 nan
nan 9 9 10 11 11 11 11 11 12 12 12 14 16 18 19 20 20 20 18 16 14 12 11 11 11 13 15 15 15 14 14 13 12 12 11 10 9 9 9 9 10 11 12 12 12 11 10 9 10 11 11 11 9 8 8 9 9 9 9 9 8 8 9 10 10 11 14 16 17 17 16 14 13 13 13 13 14 14 15 15 15 15 16 16 16 16 15 15 16 16 16 17 18 19 20 20 21 22 23 23 23 24 24 24 24 22 19 15 11 10 12 nan
nan 10 10 10 10 10 10 10 11 11 11 12 12 14 16 19 22 23 22 19 15 12 10 9 9 11 12 13 13 13 13 12 11 11 10 10 9 9 10 10 10 10 10 11 12 12 12 10 9 10 11 11 11 9 9 9 9 10 9 9 8 8 8 9 9 10 11 13 15 17 18 18 16 14 14 14 15 15 15 15 15 15 15 15 16 15 15 15 15 15 15 15 16 16 17 17 17 17 17 18 18 17 16 16 15 13 9 6 5 4 4 5 nan
nan 10 9 9 9 10 11 11 12 11 10 10 10 12 14 18 21 22 21 17 14 11 9 9 10 11 12 12 12 12 11 11 10 9 9 9 10 11 11 11 10 9 10 11 12 13 12 10 10 10 12 12 10 9 9 9 9 10 9 9 9 9 9 9 10 10 12 13 14 16 17 16 14 13 13 14 15 15 16 16 15 16 16 15 15 15 15 15 15 14 14 14 15 14 14 14 14 14 13 13 12 12 11 10 8 6 4 3 5 6 8 8 nan
nan 10 9 10 11 12 13 13 13 11 7 6 8 10 13 16 19 20 19 16 13 11 10 10 11 12 12 12 12 11 11 10 10 9 9 10 11 12 12 11 10 8 9 11 13 13 12 10 10 11 11 11 10 9 8 8 8 8 8 9 9 9 9 10 10 11 12 12 13 14 14 13 11 11 11 12 12 12 13 15 16 16 16 15 15 15 15 15 14 14 14 14 13 12 12 12 11 10 9 9 8 8 7 7 7 6 6 7 9 11 12 12 nan
nan 10 11 12 14 15 15 14 14 10 5 2 4 8 12 16 18 19 18 15 13 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 12 13 12 10 8 6 8 11 13 14 12 10 10 11 11 10 9 9 8 8 7 7 7 7 8 8 9 10 11 11 12 12 13 13 12 11 11 12 11 11 10 9 11 14 15 17 16 16 16 15 15 14 14 13 13 12 11 11 10 10 8 7 6 6 6 6 6 7 8 8 9 10 11 13 13 13 nan
nan 12 12 14 15 15 13 13 14 10 5 2 3 6 12 16 19 18 15 13 13 13 13 12 11 11 11 11 11 10 10 10 10 10 11 11 12 11 10 7 5 4 7 11 14 14 12 11 10 10 10 10 9 9 8 8 7 7 7 7 7 7 8 10 11 12 12 12 13 12 12 12 14 14 13 12 11 11 12 14 15 16 16 16 15 13 12 12 12 13 12 11 10 10 9 7 6 6 5 5 5 5 7 7 7 8 9 10 11 12 13 12 nan
nan 13 13 14 14 13 13 13 14 12 9 6 6 8 12 15 16 14 12 12 13 13 13 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 7 5 3 3 6 10 13 14 12 11 11 11 11 11 10 10 10 10 9 8 9 8 8 7 8 9 11 11 12 12 12 12 12 13 15 15 15 15 13 14 14 14 15 14 12 10 9 7 6 7 10 11 11 11 10 9 7 6 6 5 5 4 5 5 6 5 5 6 8 9 11 12 12 12 nan
nan 14 15 15 14 14 13 14 15 14 13 12 11 11 12 12 12 10 10 11 13 13 12 11 11 11 11 10 10 10 10 10 10 9 10 10 9 8 6 4 3 4 6 9 13 13 12 12 11 11 11 11 11 11 12 12 12 11 11 10 9 9 9 9 10 12 12 11 11 12 13 14 15 16 16 16 15 15 14 13 12 9 5 1 -1 -0 1 4 8 9 9 8 7 6 6 6 6 5 4 4 5 5 4 4 6 7 8 9 10 11 11 11 nan
nan 15 15 15 14 13 14 15 15 15 15 15 14 12 11 11 9 9 10 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 7 6 5 5 6 9 12 13 13 12 11 10 11 11 11 12 13 14 14 13 13 11 10 10 10 10 11 11 11 11 11 11 12 13 15 16 17 16 16 15 13 11 9 5 1 -1 -1 -0 2 4 5 4 2 1 1 2 3 5 5 4 5 5 5 5 5 6 8 9 9 9 10 11 11 11 nan
nan 14 14 13 13 13 13 14 14 14 14 14 13 12 11 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 10 10 10 10 11 11 10 10 8 6 5 4 6 9 11 13 13 12 11 10 11 11 11 12 12 13 13 13 13 12 11 10 10 10 11 11 10 10 11 11 12 13 14 17 17 17 16 13 11 10 8 5 4 4 5 6 6 6 3 -2 -5 -6 -4 -3 -2 -0 2 3 4 5 5 6 7 8 8 9 9 9 9 9 10 10 nan
nan 12 12 12 12 12 13 13 13 13 12 12 12 11 10 10 10 10 10 10 10 11 12 13 13 13 13 13 13 11 10 10 9 9 9 9 9 8 6 4 3 2 5 8 11 12 13 12 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 12 12 14 16 17 17 15 12 10 9 8 8 8 9 9 9 8 6 3 -0 -2 -3 -3 -4 -4 -4 -3 -1 2 4 6 7 8 8 8 8 9 9 8 9 10 11 nan
nan 11 11 11 12 12 12 12 12 12 12 12 11 11 10 9 9 10 10 11 11 12 12 12 12 12 14 14 14 12 10 9 8 8 7 6 6 5 4 3 1 2 4 7 10 12 12 12 12 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 12 13 15 16 17 16 14 12 11 10 9 10 10 10 10 9 8 7 6 5 5 4 2 1 -1 -3 -3 -2 2 5 7 8 8 9 9 10 10 9 10 11 13 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 9 11 12 12 12 10 10 10 12 14 14 13 11 10 9 8 7 6 6 5 4 4 3 2 3 5 7 10 11 12 12 12 11 11 11 11 10 10 9 10 11 11 11 11 12 12 12 12 11 11 10 10 11 12 14 15 16 17 16 14 12 11 11 10 11 11 11 10 10 9 8 8 8 8 7 7 6 4 3 3 5 8 9 9 8 7 8 9 10 11 11 13 15 15 13 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 9 12 13 13 11 9 9 11 12 13 13 11 10 10 10 9 9 9 8 7 6 5 5 4 5 6 8 11 12 13 13 12 12 12 12 11 10 9 9 10 10 11 11 12 11 11 11 11 10 9 9 9 10 12 13 15 16 16 15 13 12 12 11 12 12 12 12 11 10 9 8 8 9 9 9 9 9 9 9 11 12 10 7 2 0 1 3 6 8 10 13 14 15 15 14 nan
nan 10 10 11 11 11 11 11 11 10 10 10 11 11 10 9 9 10 12 13 12 10 10 10 11 12 12 11 11 11 12 12 13 12 12 11 10 9 8 8 8 8 9 10 12 13 14 13 12 12 12 12 12 11 10 10 11 11 11 12 11 11 11 11 10 9 8 8 8 10 12 13 15 15 14 13 12 12 12 12 12 13 13 12 11 10 10 9 9 9 10 10 10 10 11 12 12 10 5 -2 -7 -8 -6 -3 0 4 6 8 9 10 12 14 nan
nan 10 10 11 11 11 11 11 10 10 10 10 11 11 10 9 9 10 11 12 12 11 12 12 12 12 12 12 12 13 14 15 15 14 13 13 12 12 12 12 12 12 12 12 12 13 14 13 12 12 12 13 13 13 12 12 12 12 12 11 10 10 10 10 9 9 8 8 9 10 12 13 14 14 13 12 11 12 12 12 13 13 13 12 12 11 10 10 10 10 10 10 11 11 11 11 10 7 2 -3 -5 -5 -4 -3 -1 -1 -1 -1 0 3 7 11 nan
nan 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 12 13 13 13 14 14 14 13 13 13 13 14 15 16 15 15 14 14 14 14 15 15 15 14 13 13 13 13 14 13 13 12 13 14 14 14 14 14 14 13 12 10 9 9 9 9 9 9 9 9 10 10 12 13 13 13 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 10 10 8 7 5 4 4 4 4 3 2 0 -3 -4 -3 -1 1 3 nan
nan 10 10 11 11 11 11 11 11 10 10 9 9 9 9 10 11 12 13 14 14 14 15 15 14 14 14 14 14 15 16 17 17 16 15 14 14 15 15 16 15 14 14 14 13 14 14 14 14 14 14 14 14 14 15 15 15 14 12 10 10 10 9 9 9 9 9 9 10 10 11 12 12 12 11 11 11 10 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 9 8 8 7 7 5 3 2 1 0 -1 -2 nan
nan 10 10 11 11 11 12 12 12 11 10 10 10 11 12 13 13 14 14 14 14 14 14 14 14 14 14 14 15 17 18 19 19 18 17 15 14 14 15 15 14 14 13 13 14 14 14 15 15 15 14 15 15 15 16 15 15 14 13 12 11 11 10 10 10 10 10 10 10 10 11 12 12 12 11 11 10 10 10 10 10 10 11 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 6 5 3 1 nan
nan 10 10 11 11 12 12 13 13 13 12 12 13 14 14 14 14 13 13 13 13 13 13 13 13 13 13 14 15 17 19 19 19 18 17 15 14 14 14 14 14 13 13 13 14 14 15 15 15 15 15 15 16 16 16 15 15 14 13 13 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 5 nan
nan 11 11 11 11 12 13 13 14 15 14 14 14 14 13 12 12 12 12 12 12 12 12 12 12 11 12 13 15 16 17 17 17 17 16 15 14 13 13 13 13 13 13 13 13 14 15 15 15 15 15 15 16 17 17 16 15 14 14 14 13 13 12 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 10 10 10 10 9 9 8 7 nan
nan 11 11 11 12 12 13 13 14 15 15 15 14 13 12 11 10 11 11 12 12 12 12 12 11 11 11 12 13 14 15 14 14 14 14 14 13 12 12 11 12 13 13 13 13 14 15 16 16 16 15 16 17 18 18 16 15 15 15 14 14 13 12 12 11 11 11 10 10 9 9 10 10 11 11 11 11 11 10 8 8 9 9 10 11 10 10 10 9 9 9 9 8 8 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 9 9 8 nan
nan 12 12 12 12 13 13 13 14 14 14 14 13 12 11 10 10 11 12 12 12 12 12 12 11 11 11 12 13 13 14 14 14 13 13 12 12 11 11 11 11 12 12 12 13 14 15 16 16 16 16 16 17 18 18 17 16 15 14 13 13 12 12 12 12 11 11 10 10 10 10 9 10 11 12 12 11 10 8 7 7 8 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 nan
nan 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 12 13 13 13 12 11 11 11 12 12 13 13 14 14 13 13 12 12 12 11 11 11 11 12 12 12 12 12 14 15 16 16 16 17 17 18 18 17 16 14 13 12 12 11 11 12 12 11 11 11 10 10 10 9 10 11 11 11 11 9 8 8 9 9 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 13 13 12 12 12 11 11 11 12 13 14 14 13 13 12 12 12 12 12 12 12 12 12 11 10 10 11 13 14 15 16 17 18 19 18 17 17 16 14 14 13 12 11 12 12 12 12 12 11 11 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 12 13 13 13 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 12 12 12 11 11 11 11 12 12 12 12 12 12 11 12 12 12 13 13 13 12 12 12 12 11 11 12 13 13 13 13 12 12 12 12 13 13 13 13 12 11 11 10 9 10 12 13 13 14 16 18 20 20 19 18 17 16 15 14 13 13 13 13 12 12 11 11 10 9 9 9 9 9 10 10 11 12 12 13 13 13 12 12 12 12 12 12 11 12 14 15 15 13 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 nan
nan 12 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 10 9 10 10 11 12 11 12 14 17 19 21 21 21 19 18 17 16 15 15 15 13 11 11 11 10 9 9 9 9 10 10 10 11 12 13 13 13 13 12 12 12 12 12 12 12 12 13 15 15 14 11 9 9 9 10 10 11 11 11 11 11 11 12 11 12 12 11 11 11 nan
nan 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 11 10 10 10 10 11 11 10 10 10 11 13 16 19 21 21 20 19 18 17 17 16 15 13 12 12 11 9 9 9 10 10 11 11 12 12 12 12 12 12 12 11 11 12 12 12 12 12 13 14 14 12 9 7 6 7 8 9 10 10 11 11 10 11 11 11 11 11 11 11 11 10 nan
nan 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 12 12 12 13 13 12 11 11 10 10 10 10 10 10 10 9 9 10 11 14 16 17 17 17 17 17 16 16 16 15 15 14 12 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 13 14 14 12 9 6 5 5 6 8 9 9 9 10 10 10 11 11 10 10 11 11 10 10 10 nan
nan 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 13 13 13 12 12 13 13 12 12 12 12 11 11 11 11 11 12 12 12 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 14 14 15 15 16 17 15 13 12 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 11 11 12 13 14 13 10 8 6 6 7 7 8 8 8 9 10 10 10 11 10 10 10 11 11 11 11 11 nan
nan 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 13 13 13 12 12 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 11 10 10 10 11 11 12 12 11 11 11 10 10 9 9 9 9 10 10 10 10 13 16 15 15 15 13 12 11 11 11 12 12 11 11 11 10 10 9 10 10 11 11 12 12 12 11 10 9 9 9 9 9 9 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 nan
nan 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 12 13 13 13 12 12 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 11 11 11 12 12 12 12 12 11 11 10 9 9 8 8 7 7 6 5 6 9 11 12 15 17 16 16 14 11 11 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 9 10 10 10 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
CAPE
0 0 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 2 2 1 0 0 0 0 2 10 21 37 40 30 16 7 6 6 5 4 7 16 27 33 31 27 21 10 5 10 31 77 155 249 313 372 434 491 525 613 628 548 458 433 297 268 305 347 369 374 395 414 419 403 384 362 346 340 342 359 389 435 493 560 645 757 854 922 971 1031 1086 1152 1222 1306 1421 1455 1397 1320 1286 1263 1247 1212 1166 1113 1041
0 0 0 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 2 1 0 0 0 0 2 6 19 47 56 44 23 6 5 7 9 9 10 20 33 41 45 45 37 21 12 15 33 75 149 244 313 346 376 457 454 457 471 481 411 429 387 346 348 380 390 393 400 413 429 409 382 355 334 324 324 341 375 424 485 551 638 731 809 865 908 975 1041 1107 1170 1243 1323 1332 1298 1265 1243 1229 1217 1194 1165 1132 1088
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 1 2 3 2 0 0 0 0 0 1 6 40 66 69 54 25 8 4 6 10 13 11 21 34 44 51 53 45 32 23 23 36 76 142 222 291 336 361 401 385 359 382 419 406 407 405 392 372 380 389 396 402 406 415 403 377 347 322 313 308 318 348 401 462 530 610 690 759 808 855 914 984 1060 1126 1195 1232 1238 1227 1215 1198 1195 1191 1177 1168 1143 1101
3 4 6 7 3 2 2 3 3 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 0 1 23 57 78 72 54 29 14 7 5 7 13 13 20 30 39 47 51 48 42 35 33 52 90 145 204 260 311 348 364 359 362 445 415 395 383 375 385 360 349 351 362 382 389 390 380 361 333 311 301 297 302 319 369 427 492 564 644 708 757 800 852 927 1004 1073 1131 1169 1180 1194 1200 1194 1185 1179 1157 1135 1116 1081
5 8 11 12 10 8 7 8 7 4 2 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 3 25 50 63 59 45 31 19 10 3 2 5 9 15 21 30 39 46 51 52 47 47 69 110 160 209 248 281 310 327 334 334 397 416 404 365 348 344 333 331 337 348 368 380 383 376 356 326 305 293 287 292 312 349 396 450 513 592 663 714 752 795 875 952 1022 1085 1134 1156 1173 1176 1164 1146 1142 1113 1081 1051 1020
7 10 14 15 13 12 12 12 9 7 5 4 3 3 3 1 0 0 0 0 0 0 0 0 0 0 1 3 3 3 2 1 1 0 0 0 4 16 31 46 50 38 29 22 13 4 2 2 5 8 13 24 33 41 49 58 57 63 85 124 180 236 251 263 275 281 268 252 283 336 375 306 321 354 371 363 364 373 387 397 397 385 357 326 301 283 275 288 307 335 372 415 476 547 616 672 708 757 827 900 970 1035 1085 1113 1125 1126 1113 1090 1100 1068 1005 976 959
8 9 12 13 13 11 11 12 12 12 11 11 11 9 6 3 3 2 3 4 4 3 4 4 3 3 4 5 4 3 1 1 1 0 0 0 3 9 21 44 40 31 24 25 17 8 3 1 2 3 12 24 36 43 42 53 65 85 112 136 165 194 215 232 255 260 240 220 218 235 307 268 281 348 447 422 409 397 395 408 416 389 356 321 288 271 268 276 291 318 354 396 450 512 577 635 670 719 781 852 920 981 1029 1050 1054 1069 1047 1022 1018 1008 961 955 967
9 7 7 7 7 8 8 10 12 15 16 15 13 9 6 5 6 7 9 13 16 20 19 11 8 6 6 6 4 2 1 0 0 0 0 1 3 7 23 38 37 26 15 23 18 12 6 1 1 3 9 18 27 35 33 40 57 86 128 149 168 183 194 195 224 237 246 254 258 233 273 250 210 210 386 419 408 387 372 376 383 374 352 323 291 278 269 262 269 302 339 376 422 480 541 587 626 672 728 796 861 918 964 998 1015 1030 996 949 919 934 935 948 975
7 5 4 3 3 5 5 7 10 14 14 13 9 6 4 4 5 7 10 12 14 11 8 7 6 5 4 4 3 2 0 0 0 0 1 1 2 8 24 35 38 29 15 17 15 15 13 2 1 1 3 7 15 19 20 23 33 55 94 128 164 196 217 194 198 204 224 266 321 302 280 233 163 106 217 295 337 354 358 351 344 341 337 322 301 286 278 271 267 292 321 354 393 443 496 538 578 623 676 740 799 847 889 921 938 935 918 889 857 868 890 923 955
4 3 2 2 3 4 4 5 7 9 10 7 5 4 4 3 4 5 5 4 3 2 2 1 1 1 2 2 3 2 1 1 0 1 3 4 7 14 27 38 42 31 19 15 10 8 14 6 2 0 0 2 10 13 12 11 9 24 47 75 114 162 202 195 190 186 185 204 270 293 285 253 223 188 196 236 293 326 341 339 328 314 309 301 293 286 274 255 252 267 295 328 361 411 456 496 529 568 619 673 724 769 795 814 842 857 845 818 807 817 846 881 903
5 3 3 4 6 6 6 6 7 8 8 7 5 4 3 3 4 4 3 1 1 0 0 0 0 0 0 1 1 2 2 3 3 3 5 8 19 36 44 39 34 20 11 7 7 8 13 9 4 0 1 1 5 8 10 8 2 9 19 33 52 88 120 141 163 186 183 179 192 211 223 211 206 204 200 211 263 296 315 317 304 294 285 273 266 260 237 231 236 250 264 277 307 349 397 444 479 526 580 624 662 712 731 745 765 792 784 760 756 769 791 817 834
6 5 5 6 9 10 10 9 9 10 10 8 5 4 4 4 4 4 3 2 1 1 0 0 0 0 0 0 1 2 3 4 4 5 6 9 20 41 52 35 23 16 9 4 7 9 12 9 5 1 1 1 2 4 5 5 4 6 11 16 22 32 48 68 95 138 156 162 160 152 149 136 124 126 147 167 206 246 280 298 289 284 272 252 236 243 233 225 229 246 258 268 287 308 337 390 434 471 518 578 614 645 670 688 700 743 745 723 712 720 730 749 761
7 6 5 8 10 11 11 12 12 12 10 8 5 3 3 3 3 3 4 3 2 1 1 1 1 0 0 0 1 2 3 3 4 4 4 8 17 29 40 25 15 16 19 17 11 6 4 5 4 3 1 1 1 1 1 2 4 7 10 11 9 8 13 23 36 65 94 124 145 142 128 106 85 78 103 130 164 209 261 305 313 308 294 276 252 240 225 215 215 233 247 269 297 315 328 360 390 425 474 533 554 563 589 643 674 697 692 674 672 677 672 681 696
7 6 5 7 9 10 10 11 11 11 9 7 5 2 2 2 2 2 3 4 4 3 3 3 3 2 1 0 0 1 2 2 2 2 3 5 10 17 19 14 16 24 34 35 22 8 3 4 5 3 1 1 2 1 1 1 2 3 9 9 5 2 2 6 12 24 43 73 111 126 131 128 119 112 119 135 159 195 244 295 327 337 322 312 289 259 229 210 199 199 201 212 237 275 304 336 370 399 430 459 494 524 544 594 636 652 646 615 608 620 621 624 645
7 7 6 7 8 9 8 8 9 9 7 6 4 3 2 1 1 2 3 4 5 5 4 4 3 3 3 2 1 0 0 1 1 2 2 3 5 8 10 16 26 39 47 38 17 4 4 6 5 3 2 1 0 0 1 1 1 0 3 4 3 0 0 1 3 3 8 29 58 84 116 152 164 157 150 149 158 172 198 233 271 301 289 288 286 267 230 205 187 173 162 159 168 202 240 281 325 352 378 424 480 520 526 557 564 570 599 593 556 553 575 580 597
8 8 7 7 8 9 7 6 7 7 7 6 6 5 4 4 3 3 3 4 5 6 5 4 4 3 3 2 1 0 0 0 1 1 1 1 3 6 14 31 49 59 47 22 6 1 3 3 3 3 2 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 8 19 35 63 114 147 157 151 134 126 122 125 131 147 189 208 221 228 228 212 195 173 151 137 134 139 150 169 196 231 261 303 358 418 439 458 512 545 506 517 545 529 498 518 543 554
7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 8 7 7 7 6 6 6 6 5 4 4 2 1 1 0 0 0 0 0 0 1 2 7 23 47 67 68 47 23 7 1 1 1 1 2 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 3 7 15 41 70 96 109 91 74 62 55 54 53 80 116 144 154 161 166 160 145 123 111 107 109 121 138 159 184 221 259 289 335 384 421 452 497 489 457 461 484 466 455 485 511
7 8 7 6 7 8 9 9 10 11 10 10 10 11 12 13 12 11 10 9 7 6 5 4 4 3 3 3 2 1 1 0 0 0 0 0 2 8 20 39 56 59 45 24 6 1 0 0 1 2 2 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 4 6 17 41 40 31 22 15 15 18 30 59 95 111 115 120 121 115 99 83 77 88 113 140 167 176 184 218 249 285 330 364 369 404 455 444 389 403 438 411 412 450
9 10 9 8 8 8 8 9 10 11 12 12 13 14 16 16 16 15 12 10 7 6 5 5 4 4 3 3 2 1 0 0 0 0 0 0 3 7 12 17 29 35 31 21 4 1 0 0 0 1 2 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 6 9 7 4 0 2 5 19 49 85 107 110 105 96 89 81 68 58 62 82 104 137 161 144 158 202 237 260 288 307 326 376 425 373 316 367 397 374 393
12 11 10 10 9 9 9 9 11 13 14 14 15 17 18 18 16 14 12 9 7 6 6 6 6 5 4 3 2 2 1 0 0 0 0 1 4 7 8 7 10 16 21 25 8 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 3 2 4 14 40 66 96 108 100 84 71 61 50 39 36 39 42 56 92 102 105 132 165 180 212 287 303 278 321 346 298 282 333 337 347
11 12 11 11 11 11 10 10 12 13 14 15 16 18 19 18 16 14 11 10 9 9 8 8 7 6 5 4 3 3 2 1 0 0 1 2 5 8 7 6 5 5 7 18 9 2 0 0 0 0 0 1 1 1 1 1 2 2 1 1 1 2 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 3 8 19 31 31 37 57 59 51 44 38 30 22 16 12 9 11 32 55 63 70 94 119 134 187 243 214 213 255 284 281 295 298 305
12 12 13 13 13 12 11 11 12 13 14 15 16 17 18 18 18 16 14 13 12 11 11 10 9 7 6 5 5 4 4 3 2 1 2 3 4 5 5 5 5 3 1 2 2 0 0 0 0 0 0 0 1 1 1 1 2 3 3 2 2 1 2 2 1 1 0 0 0 2 5 6 2 0 0 0 0 0 0 2 10 28 37 33 18 17 18 18 18 18 14 12 7 2 1 2 8 21 37 46 63 102 121 113 151 173 190 213 223 229 247 255 263
13 14 15 15 14 13 13 12 13 14 15 16 17 18 18 17 18 17 15 14 12 12 11 10 9 8 7 7 6 5 5 5 4 4 4 4 3 2 3 3 4 4 3 2 1 0 0 0 0 0 0 0 1 1 1 1 2 5 6 4 2 1 2 2 3 4 2 1 1 2 4 4 3 2 1 0 0 0 0 0 6 20 31 35 29 19 13 9 8 6 3 3 2 0 0 0 2 8 20 32 43 62 80 76 93 111 121 138 147 149 160 175 192
17 15 16 17 16 15 14 14 14 15 16 17 18 19 19 18 18 17 15 14 13 12 11 11 11 9 8 8 7 6 6 5 5 5 5 5 3 2 2 2 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 2 1 2 3 5 5 4 3 3 4 5 6 4 2 1 0 0 0 0 0 1 5 11 16 21 22 20 13 6 2 0 0 0 0 0 0 0 1 5 14 23 35 46 45 57 65 54 54 73 94 107 114 123
16 15 16 17 18 17 16 16 16 17 18 19 20 22 22 22 21 19 17 14 13 11 11 12 11 10 9 9 8 8 7 6 6 5 5 5 4 2 1 2 5 6 5 3 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 1 1 2 5 6 6 6 6 6 5 6 6 4 1 1 0 0 0 0 0 0 0 1 1 4 9 14 11 5 1 0 0 0 0 0 0 0 0 0 3 7 14 21 16 18 30 26 23 37 60 76 89 94
16 17 17 18 20 19 18 17 17 18 20 21 22 23 26 27 25 21 18 15 13 11 10 10 10 10 9 9 9 8 7 7 6 5 5 5 4 3 2 3 5 6 6 3 2 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 3 5 6 6 6 6 7 7 6 5 2 1 0 0 0 0 0 0 0 0 0 0 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 6 6 5 10 24 35 51 62
19 20 22 23 23 22 21 20 19 19 21 23 23 25 30 31 29 24 20 16 13 11 10 9 9 9 9 8 8 7 7 6 5 5 4 4 3 2 2 3 5 6 6 4 2 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 3 4 5 6 6 6 7 7 7 6 5 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 3 4 2 1 3 8 19 32
21 21 23 25 25 24 23 23 22 22 24 25 26 28 32 33 31 26 23 18 14 12 10 9 9 9 9 8 7 7 6 5 5 4 4 3 2 1 2 3 5 6 5 4 2 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 2 2 5 5 5 5 6 8 8 7 5 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 3 5 3 1 3 8 13 19
25 24 25 26 26 26 26 26 26 26 27 28 29 32 34 34 33 28 24 20 15 13 11 10 9 9 8 8 7 6 5 4 4 4 4 3 1 1 2 4 5 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 4 4 4 4 6 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 3 9 13 16
31 29 29 29 29 29 31 32 32 31 30 30 30 31 33 35 36 32 27 22 17 14 12 10 9 9 8 7 7 6 5 3 3 3 3 2 1 1 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 1 0 1 2 2 3 3 4 6 7 6 5 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 0 3 3 3
35 34 33 33 33 33 37 39 38 36 34 32 32 33 35 37 39 37 32 26 20 15 12 10 9 8 7 6 4 3 3 3 2 2 1 1 1 1 1 2 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 1 1 2 4 5 6 6 6 5 3 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
38 36 35 35 36 38 42 44 43 39 35 34 33 35 37 39 41 39 35 31 21 14 10 7 6 5 4 3 2 2 2 2 2 1 1 1 0 0 0 0 0 1 1 2 1 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 3 5 5 7 8 6 4 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
37 35 36 38 41 43 46 48 46 41 38 36 36 38 40 42 42 38 30 21 12 7 5 3 3 3 3 3 3 2 3 3 2 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 6 5 4 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
34 33 34 40 45 50 54 56 51 46 40 38 41 44 46 44 41 38 23 14 8 4 2 2 2 3 4 5 4 4 3 3 3 1 1 1 0 0 0 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 1 2 3 3 3 3 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 0
34 33 37 44 49 50 49 47 48 49 46 45 48 50 53 49 40 32 20 12 5 2 1 1 2 2 3 3 4 3 3 3 3 2 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 1 2 3 3 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
34 36 41 43 42 42 42 41 41 39 38 39 41 46 52 52 46 34 20 10 4 1 1 2 3 3 3 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
22 25 29 31 31 31 30 30 29 27 26 30 36 41 46 48 46 34 19 6 3 3 3 3 4 5 4 3 3 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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
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7 10 13 15 15 15 14 14 14 12 8 12 19 25 27 28 27 21 12 7 5 5 5 5 6 5 4 3 3 3 3 3 3 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 4 7 9 11 10 7 7 8 8 2 7 14 18 19 20 19 16 10 7 5 6 7 6 6 5 4 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 1 0 0 2 2 1 3 9 13 13 13 12 8 5 4 4 5 6 6 6 6 5 4 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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