Vorticity
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nan 11 11 10 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 7 6 5 5 5 6 7 7 7 8 9 9 9 8 8 9 10 10 10 9 7 6 6 7 9 10 12 13 13 13 13 14 15 15 14 12 11 11 11 12 11 10 10 11 12 13 14 15 14 14 13 13 12 12 11 11 11 11 11 10 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 10 11 11 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 11 11 11 11 12 12 12 nan
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nan 26 24 21 19 17 16 14 14 13 12 11 11 10 10 11 11 12 12 12 12 12 11 11 11 11 12 13 14 14 14 14 14 14 14 14 14 13 14 14 14 14 15 15 16 16 16 16 15 15 14 14 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 10 9 8 6 6 5 5 6 6 7 7 8 9 12 16 18 19 16 13 11 11 13 13 12 9 6 4 4 6 9 11 12 12 11 10 10 11 13 14 14 11 8 7 6 7 8 10 11 11 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 12 12 13 14 14 13 13 12 11 10 9 10 10 11 12 12 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 nan
nan 25 25 24 22 20 18 16 15 14 13 12 12 11 12 12 12 13 13 13 13 14 13 12 12 11 12 13 14 14 14 15 16 16 16 15 14 13 13 13 14 14 15 16 17 17 16 16 16 15 15 14 14 13 13 13 13 12 11 11 10 9 9 8 9 9 10 10 11 11 11 11 11 11 11 12 12 11 11 10 9 7 6 6 6 6 6 7 8 9 11 13 17 21 22 20 17 13 11 11 12 11 10 8 6 6 7 9 10 11 12 11 11 10 10 10 12 13 12 10 7 6 5 6 8 10 11 11 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 11 11 11 11 11 11 12 12 12 13 13 14 14 14 13 12 11 10 10 11 12 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 nan
nan 20 23 23 23 22 20 19 17 16 15 14 13 13 13 13 14 14 14 14 15 16 15 15 13 12 11 11 12 12 13 15 16 16 15 14 13 13 13 13 13 14 15 16 17 16 15 15 15 14 14 14 13 13 12 11 11 11 10 9 9 8 8 8 8 9 9 10 11 11 11 12 12 12 12 12 12 12 11 10 9 7 6 6 6 7 8 10 11 13 16 19 23 26 24 20 16 12 12 13 13 12 10 9 8 8 8 9 10 11 11 11 10 9 8 9 9 10 10 9 8 6 5 5 8 9 11 11 10 10 9 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 14 14 14 14 13 12 11 11 11 12 13 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 16 19 21 23 23 22 21 20 18 17 16 15 15 15 15 15 15 16 17 17 17 17 16 15 12 11 10 10 11 12 13 14 14 14 13 12 12 12 12 12 13 14 15 16 15 15 14 14 13 13 13 12 11 10 10 10 9 9 9 8 8 7 7 8 9 10 11 11 12 12 12 12 12 13 13 13 12 11 10 9 7 6 5 5 7 10 13 15 18 22 25 27 26 21 17 13 12 13 15 15 13 11 8 7 7 8 8 9 10 11 10 9 8 7 7 8 10 11 12 10 8 6 5 7 9 10 11 10 10 10 9 9 10 11 12 13 13 12 12 11 11 11 11 11 11 11 11 12 12 13 14 14 14 14 13 14 14 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 14 16 19 21 23 24 24 23 21 20 19 17 16 15 15 15 16 17 18 18 18 18 17 15 13 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 13 14 15 15 15 15 14 14 13 13 12 11 10 9 9 9 9 8 8 8 8 8 8 8 9 10 11 12 12 12 12 13 13 13 13 13 12 11 9 8 6 5 4 4 6 11 15 19 22 25 25 24 20 16 13 12 13 16 17 16 12 8 5 5 6 7 8 9 10 10 10 9 8 8 8 10 12 14 15 13 9 7 7 8 10 11 11 11 10 10 9 10 10 12 12 13 13 12 12 12 11 11 11 11 11 11 11 10 11 12 13 13 13 12 12 13 14 14 13 13 13 13 13 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 nan
nan 13 15 18 21 24 26 26 26 25 23 22 20 19 18 17 17 17 17 18 18 18 17 16 14 13 12 12 12 13 13 12 12 11 10 10 9 9 10 11 12 12 14 15 16 16 15 15 14 13 13 12 11 10 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 13 13 13 13 13 13 12 10 9 7 6 5 3 2 3 6 11 15 18 20 21 20 17 14 12 12 14 17 19 18 15 10 6 4 6 8 9 10 11 11 10 9 9 9 10 10 12 13 15 14 11 8 7 9 11 12 12 11 10 10 10 10 10 11 12 13 13 13 12 12 11 11 11 10 10 11 10 10 10 11 11 12 12 11 11 11 12 13 13 13 13 13 13 13 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 nan
nan 14 15 17 20 23 26 28 28 28 27 25 23 22 20 20 19 18 19 19 18 17 16 15 13 13 12 12 12 13 14 13 12 11 10 9 9 10 10 11 12 13 14 15 16 16 16 15 14 13 12 12 11 10 10 9 9 9 10 10 10 10 11 12 13 14 14 15 15 14 14 14 14 13 12 11 9 7 5 5 4 4 2 2 4 7 10 13 14 16 17 17 16 15 15 17 19 20 19 16 11 6 5 6 9 11 11 12 11 11 10 10 10 10 11 12 12 13 13 11 9 8 8 10 12 13 12 11 10 10 10 11 12 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 11 11 11 11 11 11 12 12 12 11 11 11 12 12 13 13 12 12 12 12 12 12 12 nan
nan 15 15 16 19 22 26 29 30 30 29 27 25 23 22 20 20 18 17 16 16 15 14 13 12 12 12 12 12 13 14 14 13 12 11 10 10 11 12 13 13 14 15 16 16 16 16 15 14 13 13 12 12 11 10 10 10 11 11 11 12 13 13 14 14 15 16 16 16 15 15 15 14 13 11 9 7 5 4 4 4 3 3 3 6 8 10 12 13 14 15 16 16 17 18 19 19 16 12 8 4 2 3 6 9 11 12 12 11 11 10 10 11 11 12 13 13 13 12 11 9 9 10 11 12 12 11 11 11 11 11 11 12 12 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 11 12 12 11 11 11 11 12 13 13 13 13 13 13 13 13 12 12 nan
nan 15 16 16 19 22 25 29 31 31 31 28 26 24 22 21 19 16 14 12 11 11 11 11 11 11 11 11 12 13 14 15 15 14 13 12 12 12 13 14 15 16 16 16 16 15 15 14 14 13 13 13 13 12 12 12 12 12 12 13 14 14 14 15 15 15 15 15 15 15 15 15 14 13 11 9 8 7 7 7 7 6 5 6 8 10 11 12 14 15 15 15 14 14 13 13 11 7 4 2 0 2 4 6 7 9 10 11 11 11 11 11 11 12 14 16 17 16 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 13 13 13 13 13 13 13 13 13 nan
nan 15 16 16 17 20 23 27 30 32 32 30 28 26 24 21 18 15 12 10 9 9 9 10 10 10 10 11 12 14 15 15 16 15 14 13 13 14 15 16 16 17 16 16 15 15 14 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 12 11 10 11 11 12 12 12 12 10 9 10 11 12 14 15 16 15 14 12 10 8 7 5 4 3 4 5 7 8 8 9 10 11 11 12 12 12 12 13 15 17 19 18 15 11 9 9 9 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 11 11 11 12 12 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 nan
nan 15 15 14 14 16 19 22 26 29 30 30 28 26 23 20 18 15 13 11 10 9 8 9 10 10 11 12 13 15 15 16 16 15 14 14 15 15 16 17 17 16 16 15 14 14 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 12 12 12 12 12 12 13 12 12 11 10 10 10 12 13 15 15 16 17 16 15 15 15 15 14 15 16 16 15 13 11 9 7 7 7 8 8 9 10 11 11 11 11 11 13 14 14 14 13 14 16 19 20 20 15 8 5 4 6 8 10 11 11 11 10 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 12 12 12 13 13 13 13 12 nan
nan 13 13 12 12 12 14 15 20 25 27 28 27 25 23 20 17 16 14 12 10 10 9 10 10 11 12 14 15 16 17 17 17 16 15 15 16 16 16 16 16 15 15 14 13 13 13 12 12 13 13 13 13 13 13 13 13 13 13 12 12 11 10 9 9 9 10 10 11 11 9 9 8 7 7 9 11 13 15 16 17 18 19 19 19 19 17 17 17 16 15 12 10 8 8 9 10 11 11 11 11 11 11 11 11 13 15 16 17 17 16 17 20 21 20 16 8 3 1 3 6 8 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 nan
nan 12 12 10 10 10 11 12 15 21 25 27 27 26 23 20 17 15 14 13 11 11 10 11 12 13 14 16 17 17 17 18 18 17 17 16 16 16 15 15 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 7 6 6 7 8 8 9 8 7 6 5 5 4 5 6 8 10 12 14 17 19 21 21 20 18 17 16 15 14 11 9 8 9 10 11 11 11 11 11 11 11 11 12 15 18 19 20 20 19 20 20 18 14 8 2 1 1 4 6 8 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 nan
nan 11 11 10 9 9 9 10 14 20 24 27 28 27 24 21 19 16 15 13 12 12 12 12 13 14 16 17 17 18 18 18 18 18 18 17 16 15 15 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 12 11 10 9 7 6 6 6 7 7 8 8 7 7 6 5 4 4 3 3 4 5 7 10 14 17 19 20 19 17 16 15 14 13 11 10 10 11 11 11 12 11 11 11 11 11 13 15 19 21 23 22 20 19 17 16 12 7 1 -1 0 2 5 8 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 nan
nan 11 10 9 9 9 9 10 13 18 23 27 29 28 25 23 20 18 16 15 14 14 14 15 15 16 17 17 18 18 18 18 18 18 17 16 16 15 15 14 14 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 11 11 10 8 8 8 9 9 10 10 10 9 9 8 7 6 5 4 3 3 3 3 5 7 10 13 15 17 16 15 14 14 13 12 11 11 12 12 12 12 11 11 11 11 12 14 18 21 24 25 23 21 17 15 13 9 5 1 -1 -1 1 4 7 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 nan
nan 10 10 9 9 9 9 10 12 16 21 25 28 28 26 24 23 21 19 18 18 18 18 18 19 19 18 18 18 17 17 17 17 16 16 16 15 15 15 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 10 12 14 15 15 14 12 11 11 10 8 6 5 4 4 4 5 6 8 9 10 12 13 14 14 13 13 13 12 11 11 11 11 11 11 11 11 12 12 15 19 23 25 25 23 20 16 13 10 8 5 1 -1 -1 0 3 7 10 11 11 10 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 nan
nan 11 10 10 10 10 9 10 11 14 18 22 26 28 27 26 25 24 23 23 23 23 22 21 20 19 18 17 16 16 16 15 15 15 15 15 15 15 15 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 13 14 16 17 17 17 17 16 15 14 11 9 8 7 7 8 9 11 12 12 12 12 12 12 12 13 13 14 13 12 11 10 9 9 10 11 12 13 15 19 23 25 25 23 18 14 11 9 7 5 2 -0 -1 -0 3 7 10 12 12 11 11 11 11 11 12 12 12 12 12 12 12 13 13 12 12 11 11 11 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 10 10 10 11 13 15 20 24 27 27 27 27 27 26 26 25 24 23 21 19 17 16 14 13 13 13 13 14 15 16 16 16 15 14 14 13 13 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 12 13 14 14 15 16 16 16 16 16 16 17 16 14 13 13 13 14 15 16 17 17 16 15 13 13 13 13 15 16 15 14 12 10 9 9 11 11 13 15 19 23 25 24 21 17 12 10 9 7 6 4 1 -0 1 2 6 10 12 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 11 11 10 10 10 11 12 14 19 24 26 27 27 27 26 26 25 24 22 20 17 15 13 11 10 10 11 12 13 14 16 16 17 16 15 15 14 14 14 14 13 13 13 14 14 14 15 15 15 14 14 14 14 13 12 12 11 11 12 12 12 12 12 12 11 11 11 13 15 16 17 17 18 20 21 21 21 21 20 18 17 16 16 17 18 18 18 16 13 10 9 9 10 12 12 14 17 20 21 21 18 16 12 10 9 8 7 5 3 1 1 3 6 10 13 13 13 13 13 13 13 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 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 12 nan
nan 11 11 11 10 10 10 10 11 13 15 18 22 25 27 26 25 24 23 22 20 18 16 13 11 10 9 8 9 10 12 14 15 16 17 16 16 15 15 16 16 16 16 16 15 15 16 16 16 16 16 16 16 16 16 15 15 14 13 12 10 9 9 8 8 7 7 7 7 7 9 12 14 16 18 21 22 23 23 22 22 19 17 16 15 16 17 18 17 14 12 10 8 8 9 11 13 14 17 18 18 17 15 13 12 12 11 10 9 7 6 4 3 4 6 9 12 14 14 13 13 13 13 13 12 12 11 11 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 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 nan
nan 10 11 11 11 11 11 11 12 14 16 19 22 24 25 24 22 20 19 18 17 15 13 11 10 9 8 7 8 10 13 14 16 16 16 16 15 15 15 16 16 17 17 17 17 16 16 15 16 16 16 17 17 17 17 17 17 17 15 14 12 11 10 9 7 6 5 5 4 4 6 9 12 14 17 19 20 21 21 20 18 16 13 12 11 11 12 13 12 11 10 9 9 10 11 12 15 18 20 21 19 17 15 15 16 15 13 11 9 7 6 5 5 5 8 11 13 14 14 13 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 nan
nan 10 10 11 11 12 12 13 14 15 17 19 21 23 23 22 20 18 17 16 15 14 12 11 10 10 9 9 9 11 13 14 15 16 15 16 16 16 16 15 15 16 16 16 16 15 14 13 13 13 15 16 17 18 18 18 18 18 17 16 15 14 14 13 11 8 7 5 4 3 4 7 9 11 14 16 17 17 17 16 14 13 11 11 11 12 13 14 14 14 14 13 12 11 11 13 16 20 23 23 21 19 18 18 18 16 13 10 8 7 6 5 5 6 8 11 13 14 14 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 nan
nan 10 10 11 12 13 14 15 16 17 18 19 20 20 21 20 18 17 16 16 15 14 13 12 12 12 11 11 12 13 14 15 15 15 15 16 16 16 16 15 14 14 14 14 13 12 12 12 12 13 14 16 17 17 17 18 18 18 18 17 17 16 16 16 15 14 12 9 6 5 5 6 7 9 12 14 14 14 14 13 12 12 12 14 15 18 20 20 19 17 14 11 8 8 9 11 16 19 21 20 19 18 17 16 14 13 10 9 8 7 6 5 4 6 9 11 12 13 13 13 13 12 12 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 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 nan
nan 11 11 12 13 14 16 17 18 18 18 18 18 18 19 19 19 19 18 18 17 15 15 14 14 14 14 14 14 15 14 14 13 13 13 14 14 14 14 13 12 12 12 11 11 11 11 12 12 13 14 14 15 15 15 16 16 16 17 17 17 17 18 18 18 17 16 14 11 9 9 9 9 11 12 12 12 12 12 11 11 12 13 16 19 21 22 20 17 12 8 5 5 6 8 11 14 16 17 17 16 16 14 12 11 10 8 8 7 6 4 4 4 6 9 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 11 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 12 12 nan
nan 12 12 13 14 15 16 17 18 18 17 17 17 17 18 19 19 20 20 20 18 17 17 16 16 16 16 16 15 14 14 12 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 13 13 13 14 14 15 15 16 17 18 18 18 18 18 18 17 16 16 15 14 13 13 12 12 12 12 12 12 12 13 14 15 16 14 12 9 4 2 3 5 7 9 11 12 13 14 16 17 16 13 11 9 8 7 5 4 3 3 3 5 7 10 11 12 12 12 11 12 12 12 12 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 11 11 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 13 13 14 15 16 17 18 18 17 17 16 16 16 16 17 17 18 19 19 19 19 18 18 17 16 15 15 14 14 12 10 9 8 8 8 9 9 9 9 8 8 8 9 10 10 10 11 11 11 11 12 12 11 12 12 12 13 13 13 14 16 16 16 17 18 19 20 21 21 21 20 18 16 14 14 13 13 13 13 12 11 11 11 10 9 7 5 4 2 3 5 7 9 11 11 11 12 14 17 18 17 13 9 7 5 3 1 1 1 2 4 7 9 11 11 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 11 11 11 11 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 12 12 13 13 13 12 12 11 11 nan
nan 14 15 15 16 17 17 17 16 16 15 15 14 13 13 13 14 15 17 18 19 19 18 18 17 15 14 14 14 13 11 9 8 8 8 9 10 10 11 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 13 13 14 15 15 16 16 18 20 21 21 22 21 20 17 15 14 14 14 14 13 13 12 11 10 10 10 9 8 7 6 6 7 8 10 11 11 11 11 12 13 16 17 13 10 5 2 0 -1 -1 0 1 4 7 9 10 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 11 10 10 10 10 11 12 12 13 13 13 13 13 12 12 12 12 11 11 11 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 10 10 11 11 12 13 12 12 11 11 11 nan
nan 15 15 15 15 15 14 14 13 14 13 13 12 12 11 11 12 13 15 17 18 18 18 17 16 15 14 14 13 12 11 10 9 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 12 12 12 12 12 12 12 12 13 13 13 14 14 15 15 16 16 18 19 20 20 20 19 17 15 14 13 13 12 12 11 11 11 10 10 11 11 11 10 9 8 8 9 10 11 11 11 11 11 11 12 13 12 8 5 1 -1 -1 -1 1 3 5 8 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 12 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 11 11 11 11 11 11 11 nan
nan 14 14 13 12 12 11 11 11 12 12 13 13 13 12 12 12 13 15 16 17 17 16 16 16 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 11 11 11 11 12 13 13 13 14 14 14 14 14 15 15 16 17 18 18 18 17 16 15 14 13 12 11 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 10 11 11 11 11 11 11 11 10 9 7 5 3 2 3 3 5 6 8 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 11 11 11 11 11 10 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 12 12 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 11 11 11 11 10 11 11 12 13 13 15 16 18 18 18 17 17 17 16 16 16 15 15 15 15 15 14 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 10 9 9 9 9 10 10 12 12 13 13 14 14 14 14 14 14 14 15 15 16 16 16 15 14 14 13 13 12 11 11 11 11 11 11 11 11 12 11 11 10 9 9 9 10 11 12 12 11 11 11 11 10 10 9 8 8 8 8 8 8 9 10 11 12 12 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 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
33 28 25 21 12 4 0 0 0 0 0 1 1 0 0 0 0 1 2 5 7 10 15 23 29 33 43 59 80 101 116 120 119 117 110 105 105 109 115 119 123 122 124 130 138 163 187 193 172 125 126 164 192 184 131 56 20 4 0 1 7 7 4 2 0 0 0 0 1 9 36 109 222 365 521 669 773 861 928 971 989 990 986 985 977 946 885 856 885 975 1105 1215 1316 1395 1457 1508 1550 1581 1604 1629 1655 1673 1683 1675 1652 1627 1615 1578 1526 1468 1409 1353 1294 1228 1151 1072 997 926 856 790 733 695 689 728 804 912 1042 1174 1269 1319 1335 1327 1299 1234 1158 1088 1038 1016 1015 994 975 951 917 878 880 930 952 951 1082 1187 1298 1425 1550 1635 1566 1467 1344 1217 1108 1037 983 911 832 767 703 651 615 591 570 532 512 493 474 457 446 434 423 416 417 427 432 431 431 443 479 547 628 697 744
19 20 19 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 17 28 31 37 50 70 92 107 117 112 98 85 79 77 78 83 90 95 102 112 125 140 162 183 188 176 161 202 253 268 234 152 53 15 4 3 4 3 1 0 0 0 0 0 0 2 14 45 123 254 414 577 715 815 900 960 987 981 960 948 951 957 948 899 834 809 855 968 1090 1208 1311 1398 1475 1543 1596 1637 1677 1713 1731 1740 1732 1701 1664 1636 1586 1524 1466 1409 1352 1288 1220 1147 1076 1011 943 870 801 742 703 699 734 792 877 984 1101 1191 1245 1252 1226 1188 1120 1043 983 949 940 945 935 922 908 894 888 907 934 949 965 1061 1199 1353 1530 1703 1810 1706 1553 1382 1217 1073 973 900 819 731 655 594 548 510 486 474 446 428 411 395 381 374 372 378 391 407 424 443 465 491 526 576 641 699 735 752
8 11 12 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 20 27 39 55 74 92 98 91 78 67 63 63 62 65 73 82 91 108 131 157 183 202 199 201 217 249 278 275 235 163 80 34 18 14 11 6 1 0 0 0 0 0 0 3 16 50 128 273 440 602 742 859 950 1007 1021 995 949 919 912 921 926 900 822 751 751 834 956 1086 1208 1319 1419 1512 1588 1647 1700 1741 1762 1772 1776 1754 1710 1656 1591 1523 1457 1393 1329 1260 1189 1117 1048 985 923 863 802 749 716 712 738 777 833 912 1013 1102 1143 1146 1126 1102 1070 1035 996 959 928 900 881 874 874 874 873 926 939 941 975 1079 1231 1368 1502 1624 1684 1613 1489 1341 1185 1029 893 781 684 600 533 479 427 401 400 409 398 375 350 329 318 324 337 355 376 398 427 469 506 537 563 590 618 638 648 659
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 5 17 32 50 69 77 76 70 63 60 61 62 67 75 80 86 103 131 165 200 228 208 203 213 224 240 235 198 144 87 47 31 19 10 2 0 0 0 0 0 0 0 3 16 49 120 265 425 581 723 854 957 1019 1034 1008 959 921 903 904 911 902 829 736 699 740 840 970 1100 1223 1336 1442 1538 1620 1686 1732 1757 1766 1783 1774 1737 1675 1597 1512 1429 1352 1281 1207 1138 1076 1018 962 910 862 798 747 723 720 736 761 796 850 929 993 1034 1043 1023 986 946 920 887 853 828 815 822 840 864 887 919 981 985 970 994 1106 1262 1377 1475 1557 1572 1502 1388 1247 1087 904 738 600 497 431 400 385 372 380 401 413 398 367 331 300 285 291 308 327 348 373 406 437 464 487 505 525 550 576 597 616
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 4 15 30 48 61 66 66 63 61 63 65 71 77 79 81 91 114 149 193 240 194 169 161 160 163 150 116 85 67 39 20 8 2 0 0 0 0 0 0 0 0 2 12 41 105 236 378 524 666 804 923 1009 1044 1033 993 951 921 906 901 893 823 718 658 666 741 870 1010 1144 1267 1380 1486 1579 1653 1703 1728 1737 1762 1769 1749 1698 1621 1526 1429 1338 1250 1153 1084 1033 993 954 911 866 804 758 738 731 733 741 755 784 839 899 930 936 924 900 877 879 859 828 809 797 804 835 877 919 968 1014 1018 1004 1015 1130 1282 1378 1437 1475 1467 1401 1293 1147 970 762 581 440 342 292 294 317 344 368 383 384 376 350 318 288 265 263 276 294 312 328 347 364 381 395 410 432 470 509 541 561
2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 3 3 4 10 16 24 35 43 47 51 54 57 62 66 70 73 74 86 112 148 192 236 188 157 138 122 106 81 57 47 43 26 11 3 0 0 0 0 0 0 0 0 0 0 3 26 87 201 328 459 592 727 861 964 1016 1026 1010 976 943 921 908 893 819 718 654 648 706 823 969 1108 1234 1349 1457 1548 1615 1657 1675 1684 1713 1736 1738 1712 1652 1560 1456 1350 1240 1119 1039 992 966 947 915 870 819 781 759 747 742 743 747 764 805 848 876 886 875 845 804 802 795 778 759 758 787 844 911 970 1032 1078 1086 1065 1049 1133 1245 1325 1376 1402 1393 1333 1218 1056 858 645 460 317 227 198 231 280 314 329 331 334 338 320 298 279 261 254 261 277 288 273 270 273 280 293 318 336 376 416 446 464
6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 9 9 8 7 7 6 6 6 8 12 16 21 27 33 39 42 47 52 59 67 84 118 149 175 198 192 179 160 131 93 49 28 19 15 10 4 1 0 0 0 0 0 0 0 0 0 0 0 20 77 183 301 418 536 663 809 924 998 1032 1035 1016 991 972 955 924 839 730 649 619 652 748 897 1046 1184 1305 1410 1485 1531 1558 1578 1601 1640 1679 1704 1706 1677 1600 1495 1376 1250 1123 1034 982 958 945 919 880 846 818 796 780 773 774 775 781 803 830 846 843 822 788 757 762 762 751 740 767 815 885 964 1034 1095 1130 1137 1119 1095 1135 1209 1280 1330 1343 1303 1224 1098 933 742 541 363 229 160 161 207 259 293 312 320 332 332 314 292 276 267 271 276 274 260 222 203 199 203 215 242 263 301 343 380 404
7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 4 5 5 4 3 2 0 0 0 0 0 2 5 7 12 16 16 28 40 55 76 104 122 142 157 167 189 207 204 175 124 61 25 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18 69 168 286 397 505 622 769 889 979 1035 1060 1057 1045 1031 1005 954 860 742 650 604 614 686 820 965 1105 1230 1337 1415 1461 1488 1510 1536 1576 1619 1654 1674 1667 1607 1507 1391 1273 1166 1086 1028 988 960 932 896 867 845 828 817 820 823 823 823 829 836 833 820 798 768 743 744 755 769 785 819 876 951 1032 1104 1154 1183 1196 1188 1162 1162 1198 1239 1263 1249 1178 1075 945 794 629 461 307 193 143 159 200 252 303 345 372 378 356 323 289 260 245 246 240 225 206 181 164 162 166 174 190 211 242 278 315 342
4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 11 28 50 75 96 106 119 135 156 188 223 239 220 173 107 37 9 0 0 0 1 10 18 19 12 4 1 0 0 0 0 0 15 60 149 275 391 493 598 727 841 935 1004 1046 1061 1065 1056 1024 960 859 738 641 586 581 626 722 843 971 1096 1212 1309 1381 1431 1465 1490 1509 1529 1548 1560 1555 1501 1423 1343 1272 1214 1165 1105 1040 985 956 936 918 900 882 870 886 890 887 878 867 854 840 821 797 770 755 759 779 808 842 891 956 1030 1104 1167 1201 1215 1215 1204 1186 1169 1167 1171 1166 1134 1054 938 805 665 526 399 287 207 168 174 214 280 354 415 444 436 395 346 300 263 230 213 194 176 164 157 152 153 154 152 155 166 186 212 243 274
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 0 0 0 0 0 0 0 0 0 0 2 7 17 31 45 51 77 99 125 161 205 228 220 174 103 35 8 0 1 5 20 91 130 122 72 21 5 0 0 0 0 0 19 71 164 294 401 483 564 666 771 864 940 995 1027 1039 1029 990 923 831 728 640 581 556 568 618 697 793 897 1007 1113 1201 1271 1321 1349 1351 1338 1327 1314 1294 1249 1209 1188 1190 1211 1219 1160 1079 1006 970 965 967 963 953 941 960 964 955 935 908 878 857 832 809 796 793 800 821 854 895 953 1015 1083 1149 1201 1224 1214 1200 1185 1163 1136 1113 1095 1066 1012 925 809 684 562 453 368 301 253 227 229 274 355 438 493 501 468 416 364 322 293 231 191 164 158 184 219 233 228 205 168 134 123 130 150 176 206
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 1 2 4 10 24 51 76 100 125 149 158 156 126 75 27 5 0 4 26 85 193 243 216 126 33 10 1 0 0 0 4 25 74 159 283 379 443 505 586 680 772 850 908 943 945 922 884 832 770 703 639 591 563 558 577 619 673 736 804 878 946 1004 1046 1068 1068 1050 1025 999 977 956 956 982 1036 1111 1178 1147 1082 1017 978 983 1012 1032 1039 1037 1044 1038 1018 984 941 904 873 850 834 828 827 840 859 888 928 973 1032 1099 1164 1217 1231 1209 1179 1148 1116 1086 1052 1017 971 898 806 701 594 496 417 360 323 305 310 336 379 468 535 557 534 483 426 380 357 360 349 362 390 421 442 456 433 381 307 217 133 92 85 101 123 152
2 0 0 0 0 0 1 2 2 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 1 5 11 21 37 55 68 78 85 90 86 92 76 46 15 2 1 9 66 197 249 232 177 102 36 13 3 0 0 0 1 14 50 116 215 315 379 438 507 590 670 736 782 803 798 778 752 721 686 647 606 574 556 554 566 589 618 649 680 714 743 765 778 781 774 764 754 749 754 771 806 857 926 1014 1108 1126 1106 1074 1051 1064 1111 1144 1155 1147 1130 1107 1074 1032 982 940 905 880 866 860 863 874 892 915 944 979 1031 1090 1152 1207 1212 1183 1140 1095 1056 1027 987 943 888 809 713 622 536 462 409 373 364 386 435 500 538 592 618 605 563 505 453 433 457 519 594 673 743 788 786 757 680 566 428 278 143 79 64 75 90 120
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2 1 0 2 5 11 20 24 14 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 1 5 10 18 32 48 63 76 85 85 75 62 47 28 20 11 4 0 0 0 2 17 43 47 34 21 10 5 0 0 1 2 4 7 15 30 65 124 185 244 303 358 409 453 488 512 529 542 554 561 558 546 526 520 532 556 585 616 644 659 656 636 601 560 524 498 488 494 507 526 552 585 624 661 685 713 757 829 925 1031 1133 1227 1309 1379 1423 1434 1409 1348 1274 1201 1137 1084 1025 982 957 938 915 915 908 911 924 937 938 980 1022 1064 1114 1124 1096 1061 1019 964 940 894 836 774 710 627 571 531 503 482 485 525 599 681 717 726 733 740 741 718 675 634 644 735 916 1145 1311 1369 1320 1190 1007 820 636 455 281 143 84 67 53 47 92
11 15 9 7 11 19 29 29 13 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 1 5 13 25 39 53 63 71 75 71 48 26 9 2 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 4 10 19 31 48 70 104 150 196 239 275 305 330 361 395 421 441 456 468 487 504 516 525 547 579 614 648 674 681 666 633 585 530 475 435 415 412 421 430 443 464 493 528 553 566 589 636 718 838 973 1105 1223 1329 1417 1485 1523 1523 1472 1397 1311 1229 1157 1091 1038 1007 976 933 918 900 891 894 905 896 927 962 1000 1046 1063 1049 1045 1037 986 958 909 844 775 725 648 594 559 536 524 538 586 658 730 757 765 777 792 805 803 758 713 709 783 959 1162 1178 1133 1146 1088 940 773 597 414 245 118 41 10 14 54 139
41 55 51 35 25 26 32 21 9 2 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 13 28 42 53 60 63 60 50 21 8 9 14 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 26 43 58 73 100 136 177 216 240 249 255 270 303 347 383 412 435 456 487 512 531 547 565 589 609 625 633 611 567 512 452 392 340 307 292 291 299 314 341 386 443 501 532 559 600 666 761 881 1000 1105 1198 1289 1378 1459 1526 1567 1563 1511 1437 1355 1273 1195 1120 1075 1032 973 928 894 872 868 879 865 885 918 955 986 1006 1003 1014 1021 984 960 929 871 800 761 687 632 595 575 569 583 627 687 748 786 806 823 832 835 846 811 763 736 764 911 1098 1129 1091 1103 1050 904 716 512 313 163 68 18 2 4 72 197
66 85 82 59 33 23 17 6 2 0 0 1 1 0 1 7 14 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 29 44 54 60 60 55 43 26 78 123 130 84 13 1 0 0 0 0 0 0 0 0 0 1 1 3 9 29 58 83 96 98 115 139 166 193 211 220 237 268 311 354 383 398 404 410 423 450 466 470 473 488 497 503 501 468 413 354 295 241 196 173 169 183 218 274 350 440 524 580 603 632 678 748 841 945 1029 1103 1172 1243 1319 1397 1474 1543 1585 1596 1569 1512 1431 1337 1236 1166 1095 1003 930 893 859 845 863 832 835 854 879 904 956 959 967 981 977 966 957 911 839 798 726 664 622 600 588 614 658 713 770 814 842 863 879 891 884 845 797 761 762 886 1041 1127 1133 1082 965 777 563 353 174 74 23 3 0 0 74 198
44 55 53 39 24 12 5 1 0 1 6 13 24 36 49 51 44 28 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 27 40 48 52 53 46 52 102 266 327 280 149 11 1 0 0 0 0 0 0 0 3 20 18 14 15 27 62 110 139 141 127 127 135 148 167 192 218 250 285 319 343 350 343 323 300 303 315 327 336 348 367 380 382 368 327 270 213 159 110 77 66 74 107 165 254 363 478 567 607 626 652 696 758 837 924 999 1067 1129 1190 1246 1304 1372 1450 1531 1601 1638 1634 1586 1495 1379 1277 1170 1046 939 897 839 803 823 787 767 773 799 833 893 914 936 967 991 984 985 944 868 819 751 684 641 627 611 640 684 734 785 830 866 897 924 941 916 861 810 780 782 870 948 979 951 866 714 525 329 158 53 17 3 0 0 0 34 99
13 19 20 18 13 6 2 1 2 6 17 35 57 76 79 71 50 24 3 1 0 0 0 0 0 0 0 0 0 0 4 10 13 9 3 0 0 1 8 19 30 37 39 43 53 115 261 419 398 259 90 0 0 0 0 0 0 0 1 3 12 48 51 43 38 49 92 152 179 174 157 151 155 164 179 203 231 257 280 297 306 307 297 281 264 255 251 254 262 276 290 290 274 240 189 129 77 41 22 11 10 23 57 119 217 332 437 510 543 555 566 585 617 667 743 834 924 1003 1060 1087 1116 1169 1252 1358 1476 1580 1650 1671 1620 1528 1427 1309 1169 1013 925 840 777 758 725 705 727 781 836 886 913 940 974 1014 1004 1001 964 889 825 766 698 650 637 620 640 675 718 763 805 853 889 912 927 903 849 806 789 796 829 828 779 684 556 423 286 159 58 8 1 0 0 0 0 8 27
10 12 12 11 10 6 5 4 5 8 19 33 51 66 68 53 33 14 0 0 0 0 0 0 0 0 0 0 0 1 13 23 23 12 3 0 0 0 3 12 23 35 45 56 108 205 328 394 303 142 18 0 0 0 0 0 0 0 1 6 22 54 68 66 62 70 112 175 201 202 194 190 195 206 221 237 255 271 282 288 288 281 272 261 249 239 230 224 222 222 212 185 149 106 64 32 11 1 0 0 0 6 23 60 129 220 295 351 384 395 385 369 363 381 434 525 632 735 807 816 836 885 968 1078 1210 1344 1460 1540 1564 1542 1497 1427 1321 1148 996 866 767 705 661 627 657 728 788 852 898 934 973 1028 1014 1012 985 915 823 763 690 635 616 596 602 630 674 721 768 833 886 913 912 877 825 787 774 777 770 721 631 510 384 280 183 96 27 3 0 0 0 0 0 1 9
9 11 8 6 5 3 11 12 10 8 11 18 29 40 47 39 24 9 0 0 0 0 0 0 0 0 0 0 0 1 9 14 12 3 1 0 0 0 0 4 13 27 45 64 113 165 198 186 111 40 0 0 0 0 0 0 0 0 0 2 8 24 43 59 69 88 135 199 230 241 242 245 254 263 270 274 276 278 278 274 265 249 237 227 218 211 204 192 174 147 110 74 44 21 7 3 1 0 0 0 0 1 4 17 49 99 141 173 194 202 179 153 141 151 182 244 326 413 482 497 519 562 629 718 821 930 1039 1140 1216 1264 1297 1314 1304 1230 1107 968 834 724 643 569 581 649 702 767 836 887 928 993 984 979 951 882 770 719 660 609 580 558 555 583 629 675 741 818 880 910 894 841 793 759 739 727 702 650 565 452 338 234 142 64 7 1 0 0 0 0 0 0 30
5 6 4 3 3 4 15 19 16 11 7 10 13 16 17 12 4 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 0 0 0 0 0 0 0 2 8 20 36 50 55 49 36 15 5 0 0 0 0 0 0 0 0 0 0 2 8 23 48 68 100 157 219 255 273 282 291 303 307 300 284 264 247 233 220 206 188 175 165 158 152 143 123 91 52 16 5 2 1 0 0 0 0 0 0 0 0 0 3 11 25 36 43 45 47 37 29 26 31 41 65 98 130 153 183 215 257 312 379 449 518 588 658 728 799 877 955 1019 1031 1000 942 860 760 662 572 548 577 609 665 750 807 838 903 917 916 895 845 738 682 624 570 531 508 496 515 560 620 709 790 847 865 832 789 751 719 687 657 624 570 494 398 295 196 109 42 5 1 0 0 0 0 0 0 42
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28 27 28 18 13 10 7 5 6 11 12 10 8 9 11 12 11 3 3 2 1 0 0 0 0 0 0 6 7 5 0 0 0 0 0 0 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 3 15 31 48 61 65 60 50 39 35 36 38 38 35 27 17 10 5 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 1 2 3 5 11 15 24 37 56 83 116 127 120 102 103 134 183 240 294 338 375 405 428 441 433 405 359 297 236 186 155 148 164 190 222 262 313 377 425 469 501 516 523 529 535 554 604 622 633 623 564 401 268 178 121 80 54 41 29 19 18 34 62 99 140
83 75 59 34 24 20 18 18 22 35 36 31 27 24 24 21 16 9 15 12 6 0 0 0 0 0 1 9 11 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 32 49 65 75 78 62 39 18 5 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 0 0 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 6 13 20 27 38 56 79 105 120 119 118 129 154 190 222 251 276 297 312 313 289 257 219 178 141 113 105 111 108 108 117 136 169 222 265 306 347 388 434 487 559 640 709 742 746 711 628 477 383 314 254 188 121 81 52 29 24 52 101 138 135
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134 131 101 68 49 50 55 52 49 55 55 49 41 30 20 25 27 24 13 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 1 1 0 0 0 0 0 0 0 0 0 0 0 2 8 19 32 43 47 40 32 23 12 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 0 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 7 23 51 91 149 187 204 208 227 226 218 208 199 195 200 207 210 195 196 211 225 223 180 93 30 11 12 14 19 26 33 41 46 69 123 222 332 454 589 726 832 876 835 758 705 674 640 597 539 458 219 97 59 58 52 74 136 200 194
87 72 67 61 58 61 76 83 93 109 119 100 65 30 13 37 90 121 113 70 25 6 1 1 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 0 0 0 0 0 0 0 0 2 7 15 30 36 36 31 22 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 45 98 166 227 264 268 282 285 288 292 297 302 318 345 386 440 515 563 561 490 321 193 101 41 5 5 8 10 12 11 22 55 117 217 360 513 655 766 808 809 794 780 779 763 720 656 577 490 331 199 127 133 105 124 186 265 294
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160 134 91 49 29 27 40 62 135 198 214 168 113 81 77 104 247 379 451 437 314 157 61 19 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 3 7 13 24 43 59 61 50 36 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 51 121 205 270 289 285 293 324 370 411 435 456 480 510 540 564 554 531 540 417 282 172 106 57 26 10 8 16 44 94 155 223 298 394 506 635 774 857 902 924 930 913 867 830 809 791 659 357 133 66 91 247 405 509 510 369
226 192 142 91 67 69 89 120 144 159 164 156 143 141 141 153 211 278 326 339 303 167 76 24 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 2 15 27 39 53 71 84 73 52 30 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 76 131 152 146 164 210 275 336 372 402 427 452 472 481 485 474 429 358 295 244 198 128 79 54 48 56 84 127 178 236 303 390 496 623 771 879 948 978 966 904 863 855 869 886 740 363 161 255 290 422 557 638 607 370
277 274 277 291 292 273 243 211 190 180 178 179 177 193 192 177 157 151 160 174 174 121 64 22 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 6 29 54 70 81 92 103 92 69 41 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 28 46 76 118 172 218 265 314 365 412 428 432 427 411 386 362 331 286 226 190 173 169 165 163 181 215 262 320 394 487 599 724 844 935 983 976 888 849 855 893 944 899 517 266 409 446 473 550 620 550 358
288 333 386 429 422 361 289 223 189 187 187 187 185 191 179 153 117 83 74 81 87 72 39 14 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 1 2 11 36 73 101 114 113 112 96 72 43 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 15 30 55 85 124 179 250 316 360 391 410 412 405 390 366 334 298 284 294 317 330 286 265 268 291 329 405 493 585 682 793 879 927 926 869 845 852 890 952 980 716 378 186 185 272 375 432 332 212
235 280 330 351 297 217 162 133 129 142 146 145 141 140 128 109 83 55 41 40 39 30 16 5 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 15 19 26 41 74 115 132 126 112 87 60 33 8 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 1 4 11 20 40 77 136 192 240 276 297 304 336 343 331 313 297 297 323 371 421 390 356 333 329 346 395 450 509 603 721 808 857 871 859 854 867 904 963 977 875 709 563 449 407 394 378 333 297
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