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 nan nan nan
nan 6 7 9 10 11 11 9 8 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 7 7 6 6 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 7 7 7 7 7 7 8 11 14 14 12 11 12 13 13 14 16 19 19 16 11 7 4 3 3 4 4 3 4 4 4 4 5 5 6 6 7 8 9 10 12 13 13 13 15 16 16 15 13 10 8 7 8 9 10 9 7 7 7 8 9 10 11 11 9 6 6 10 16 17 16 15 14 12 10 10 8 8 7 8 10 12 14 13 13 11 9 7 6 4 2 1 1 2 4 7 10 12 11 10 9 9 9 9 7 6 6 5 3 1 0 1 3 3 2 -0 -2 -1 0 1 2 2 2 3 3 4 5 6 7 7 7 7 7 nan
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nan 11 11 11 12 15 20 26 31 33 32 28 22 18 16 14 12 10 7 4 2 0 -1 -2 -1 2 8 15 17 16 15 14 13 12 13 14 14 13 12 11 10 9 9 8 6 3 -1 -4 -3 4 9 11 10 7 6 7 8 8 8 9 9 9 8 7 6 6 5 6 7 9 9 8 8 8 8 7 6 5 5 4 4 6 7 9 9 8 6 7 8 9 9 8 7 6 6 8 11 13 14 14 13 13 11 9 7 6 8 9 10 9 8 8 7 7 7 8 9 8 6 5 4 4 3 4 8 13 15 11 6 5 6 9 10 9 7 5 3 3 5 8 10 12 11 9 8 11 15 16 13 11 9 7 7 7 6 5 6 8 11 13 14 13 11 10 10 8 7 5 5 5 6 6 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 nan
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nan 13 19 25 29 29 25 19 14 10 8 7 7 5 2 0 -0 -0 0 -0 -1 -0 3 8 15 20 22 20 15 10 7 6 5 6 6 6 7 7 7 7 7 6 6 6 9 13 19 23 23 20 17 15 14 12 10 9 10 14 17 17 15 11 9 8 8 8 9 10 11 10 9 9 10 10 11 11 9 8 6 5 4 4 5 7 9 10 10 10 9 8 8 8 8 9 11 13 13 12 10 8 8 10 13 15 14 10 6 5 5 6 6 7 7 8 10 12 16 18 18 17 15 12 11 10 9 8 9 10 11 10 7 4 3 3 5 7 9 9 10 11 11 11 9 8 8 9 12 14 15 15 14 12 9 8 8 8 8 9 9 10 11 11 11 10 9 8 7 7 6 6 6 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 7 7 nan
nan 13 20 26 27 25 20 15 11 8 7 7 5 3 1 -0 0 1 1 0 -1 -0 5 12 19 24 25 20 14 10 7 5 4 4 4 3 4 4 5 7 8 8 7 8 11 17 25 29 28 22 17 14 13 12 11 10 11 12 14 14 13 12 11 10 10 9 10 10 11 10 10 10 10 12 13 14 12 10 8 5 4 4 5 6 7 8 9 9 9 9 8 7 8 9 10 12 12 11 10 9 8 9 11 13 14 11 8 6 5 5 7 8 9 10 10 12 14 15 15 15 15 14 14 14 14 13 14 14 14 13 10 7 4 4 4 5 6 6 7 8 9 8 7 7 8 9 11 12 14 15 15 15 13 11 10 8 7 6 7 8 9 9 10 10 9 9 8 7 7 6 6 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 7 nan
nan 12 19 24 23 19 15 12 10 8 7 6 4 1 0 0 1 2 1 0 0 2 7 14 20 23 23 18 12 9 7 6 5 3 2 2 2 3 4 6 8 9 9 10 11 15 22 26 26 23 19 15 14 12 12 12 11 11 10 11 11 12 12 12 11 10 10 10 10 10 10 10 11 12 13 13 12 9 7 4 3 3 4 4 5 7 8 9 9 9 8 8 7 8 9 10 10 11 11 11 10 10 11 13 15 14 11 8 7 8 9 11 12 10 9 9 9 9 9 9 10 11 12 14 16 17 17 17 16 15 14 12 10 9 7 6 6 7 8 9 9 8 7 7 8 9 9 10 12 13 15 17 18 16 13 9 6 5 5 6 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 nan
nan 12 18 22 20 16 12 10 9 8 7 5 2 1 0 0 2 2 2 2 3 7 11 16 19 19 18 14 10 8 7 7 6 4 3 2 2 2 3 4 7 8 9 9 9 10 13 17 19 20 19 18 17 16 16 15 13 11 9 9 9 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 9 7 5 4 3 2 2 2 3 5 7 8 9 9 9 9 9 9 9 9 9 10 12 13 14 14 15 17 19 18 15 13 11 11 12 13 12 9 7 6 5 5 4 4 5 6 8 10 13 15 15 16 16 15 14 14 14 13 12 10 10 12 14 16 15 11 8 7 6 7 8 9 10 12 14 17 19 19 15 11 7 6 5 5 6 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 nan
nan 13 20 22 19 14 11 10 8 7 5 3 0 -1 -1 0 2 3 3 5 8 12 15 17 17 16 14 12 10 8 8 7 6 5 4 3 3 2 2 3 5 6 7 8 7 6 7 9 12 15 17 17 18 18 19 18 16 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 9 8 7 7 6 6 6 4 2 0 1 3 5 8 9 10 10 12 13 13 11 10 8 8 10 14 16 19 20 22 22 19 16 14 13 13 14 13 12 9 7 6 5 4 4 3 3 3 4 5 7 9 10 11 12 11 11 12 13 14 14 14 15 18 21 23 20 14 9 6 5 5 7 9 11 12 13 15 17 18 17 13 9 7 6 6 6 7 8 8 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 nan
nan 17 24 24 20 15 11 9 8 6 3 -1 -3 -3 -1 1 4 5 6 8 12 16 19 20 18 16 14 12 11 9 8 7 6 6 5 4 3 3 2 3 4 5 7 8 8 6 5 5 8 11 14 15 16 16 17 17 16 15 15 15 14 13 11 9 9 10 10 10 10 10 10 10 11 11 10 9 8 9 9 11 10 9 5 2 1 3 5 6 8 9 10 13 16 16 14 11 8 7 8 10 14 17 19 20 19 16 13 12 12 13 14 13 12 10 9 8 7 6 5 4 3 3 3 3 4 5 6 7 8 8 8 8 9 10 12 13 15 18 22 24 20 14 8 5 4 5 7 9 10 10 11 12 14 16 17 14 10 7 6 6 6 7 7 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 nan
nan 21 28 27 22 16 11 8 6 4 -0 -4 -5 -3 0 4 7 8 9 9 13 18 21 21 19 16 15 14 12 10 8 6 5 6 6 5 4 3 3 3 4 5 7 8 8 7 5 5 7 9 12 14 14 13 13 13 14 15 16 17 16 14 12 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 8 5 3 4 5 6 6 7 9 13 16 16 14 11 8 7 6 7 9 11 13 14 14 13 12 11 10 11 11 11 11 10 9 9 8 7 6 5 4 4 3 3 3 3 4 5 7 7 7 6 6 7 8 9 11 13 17 18 15 11 7 5 6 7 8 8 8 8 7 9 11 14 16 14 10 7 6 6 6 7 7 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 nan
nan 22 29 26 21 16 11 7 5 2 -3 -6 -5 -2 3 8 10 11 11 11 14 17 19 19 17 14 12 12 11 10 8 7 6 6 6 5 5 4 4 5 5 6 7 8 8 7 7 7 8 10 12 13 14 13 12 12 13 15 16 16 14 13 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 10 10 10 9 8 6 5 5 6 6 6 7 9 12 14 14 13 10 8 6 5 5 6 8 10 10 10 10 10 9 8 8 7 8 8 8 8 8 8 8 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 9 10 12 11 9 6 5 5 7 8 9 8 7 6 6 8 10 13 14 13 9 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 nan
nan 21 25 23 18 14 11 7 4 0 -3 -5 -3 1 6 10 12 11 11 12 14 15 15 14 12 10 9 8 8 8 8 8 8 7 6 5 5 5 5 6 7 8 8 8 8 8 8 10 10 11 12 12 13 14 14 14 14 14 14 13 12 11 10 10 10 10 10 11 11 12 12 13 12 11 11 10 9 8 6 6 6 6 6 6 6 6 7 7 8 8 10 12 13 13 12 10 8 6 5 5 7 10 11 11 10 8 6 5 5 4 4 4 5 5 6 7 7 8 7 7 7 7 7 8 8 9 8 7 6 6 6 7 8 8 8 9 9 9 9 8 6 4 3 4 6 9 11 10 10 9 9 11 13 14 13 11 10 8 7 7 7 7 8 8 8 8 8 8 8 7 7 8 7 7 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 nan
nan 20 20 18 14 12 10 8 4 1 -2 -3 -1 4 9 12 13 12 12 12 13 12 11 9 8 7 6 6 6 6 7 8 9 9 8 6 6 6 6 7 8 9 9 9 8 9 10 12 12 11 11 10 12 14 17 17 15 13 12 11 11 11 11 11 10 10 9 9 10 10 11 12 11 9 8 6 5 4 3 3 3 4 5 5 6 6 7 8 9 10 12 13 14 14 12 10 7 5 6 8 11 15 16 15 13 8 4 1 -1 -0 0 1 2 3 5 6 7 8 8 8 8 8 9 11 12 13 11 9 7 6 7 8 9 9 9 9 9 8 8 7 6 4 3 3 5 8 12 13 14 14 15 16 17 17 15 12 11 10 9 7 7 7 7 8 8 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 nan
nan 19 18 15 13 11 10 8 6 3 -0 -1 -0 4 10 14 16 15 14 12 11 10 8 7 7 6 5 5 4 4 6 7 9 10 9 9 8 8 9 9 8 9 9 9 10 11 12 13 13 12 11 10 10 13 16 16 14 12 11 11 11 12 12 11 10 10 9 9 9 9 9 9 9 7 6 5 4 3 3 3 3 3 4 5 5 6 7 9 10 12 13 14 15 15 12 9 6 4 7 12 16 19 20 19 16 11 6 1 -3 -4 -2 -1 1 3 5 7 9 10 10 10 10 11 12 13 14 14 12 10 8 7 7 8 9 9 9 9 9 8 8 7 6 5 4 4 6 8 11 14 15 16 16 18 20 20 17 15 14 12 10 8 7 7 7 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 nan
nan 17 16 15 13 12 10 9 8 5 1 -2 -1 3 8 15 19 19 16 13 11 9 8 7 7 6 5 3 2 2 3 5 7 8 9 10 11 12 11 11 9 9 8 9 10 12 13 14 14 13 11 11 10 11 13 13 12 11 10 11 12 12 12 11 11 11 12 12 11 9 8 8 8 8 7 6 5 5 5 5 4 4 4 5 5 6 7 8 10 12 13 13 14 13 11 7 4 2 5 11 16 20 21 20 18 15 11 8 4 0 -0 1 3 5 8 11 13 14 15 15 14 14 14 14 14 13 11 9 8 8 8 8 9 9 9 10 10 11 10 10 9 8 7 8 10 11 11 12 12 12 13 15 19 21 20 18 15 13 10 8 7 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 nan
nan 14 14 13 12 11 10 9 7 5 1 -3 -3 1 7 14 19 21 18 14 11 10 9 8 7 6 5 4 2 2 2 3 3 5 6 9 11 12 13 12 10 9 8 8 9 11 13 14 14 13 12 11 10 11 11 11 10 10 10 11 11 11 10 9 9 12 15 16 16 12 9 7 8 9 9 8 7 7 7 6 5 5 5 5 5 6 7 8 10 11 12 12 12 11 9 6 3 2 4 8 12 15 17 18 18 16 16 15 14 11 10 10 11 12 13 15 16 18 18 18 17 15 13 12 11 10 9 8 8 8 8 8 8 9 10 11 12 13 14 14 13 11 10 12 13 12 10 9 9 9 10 14 19 21 20 18 15 12 10 9 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 15 13 11 9 8 8 7 5 3 0 -2 -2 1 6 11 16 19 18 15 13 11 10 8 7 7 6 5 4 4 3 2 2 2 3 6 8 10 11 11 11 9 9 8 9 11 13 14 14 13 11 10 9 10 10 10 10 10 10 10 10 10 8 6 7 10 14 18 19 16 12 8 7 8 8 8 8 8 7 6 6 5 5 5 5 6 7 8 10 11 11 10 10 9 7 4 3 3 5 7 8 10 12 15 16 16 18 19 19 20 21 21 21 19 18 17 17 17 17 17 15 13 11 10 9 8 7 7 7 7 7 7 7 8 9 10 11 13 15 15 14 13 13 14 14 12 9 7 7 8 11 16 20 21 19 16 13 11 10 9 9 9 8 8 7 7 7 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 19 16 11 8 6 6 6 4 2 1 0 1 3 6 9 13 15 16 15 13 11 10 8 7 7 7 7 6 6 5 4 3 2 3 4 6 8 9 10 10 9 8 8 9 11 12 13 14 12 10 8 7 8 10 10 10 10 10 9 9 9 8 6 6 8 11 15 18 17 14 11 8 7 6 7 7 7 7 6 6 6 5 5 6 6 7 9 10 11 11 9 8 6 5 3 3 4 5 5 5 7 9 12 14 16 17 19 21 22 24 25 24 22 19 16 15 14 13 13 12 11 9 8 8 7 7 6 6 7 7 7 7 7 7 8 9 10 12 12 13 13 14 15 14 12 9 7 7 10 14 17 20 21 19 15 12 10 10 10 10 9 9 8 8 7 8 8 8 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 nan
nan 21 21 15 9 7 6 6 6 5 4 5 6 6 8 10 11 13 14 14 13 11 9 7 6 7 7 7 7 7 6 6 5 4 4 4 5 7 9 9 9 8 8 8 9 10 11 11 11 11 9 8 7 8 9 10 10 10 9 9 9 9 8 7 7 7 9 12 14 16 16 13 10 8 6 6 6 6 6 5 5 5 5 5 6 6 7 9 10 10 10 9 7 6 5 4 3 2 1 2 4 6 9 11 12 14 16 18 20 21 22 23 22 20 17 14 12 11 10 9 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 7 8 9 10 12 14 14 13 11 9 8 9 11 14 16 18 19 18 15 12 11 10 10 10 10 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 nan
nan 19 23 21 16 12 9 8 7 8 8 9 10 10 10 11 11 12 13 12 12 11 9 8 7 8 8 8 7 6 6 6 6 5 5 4 5 7 9 10 9 8 8 8 9 9 10 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 7 7 8 10 12 14 14 13 11 9 8 7 7 6 5 5 5 4 5 5 6 6 7 9 9 10 9 7 6 6 7 6 3 0 -0 2 6 10 12 13 12 13 14 17 19 20 21 20 19 16 14 12 10 9 7 7 7 8 8 9 9 9 8 7 7 7 8 8 8 8 8 7 7 6 7 8 10 12 13 13 12 10 9 10 11 12 13 13 14 15 15 14 13 12 12 11 11 10 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 nan
nan 14 19 23 22 18 15 11 10 10 10 11 11 11 11 11 11 12 12 11 11 10 9 9 9 10 10 10 8 7 7 7 7 6 5 4 5 6 8 9 10 9 8 8 8 9 9 8 8 8 9 10 10 10 10 10 10 9 9 10 10 9 8 8 7 7 8 9 10 11 12 11 11 10 10 9 8 7 6 5 5 4 4 5 6 6 7 8 9 9 8 7 6 7 8 7 4 2 3 6 10 14 16 15 13 12 13 14 15 16 16 15 14 13 12 10 9 8 7 7 8 9 11 11 11 10 9 8 8 8 8 9 9 9 9 8 8 8 8 10 12 13 13 12 10 9 10 13 16 15 13 12 11 11 11 12 13 14 14 13 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 10 nan
nan 11 14 17 19 19 18 16 14 13 12 11 11 11 10 10 11 12 11 11 10 9 9 9 10 11 12 11 9 8 7 7 6 5 5 4 4 5 6 7 8 8 8 8 8 8 8 8 7 7 8 10 11 11 12 11 11 11 10 10 10 9 8 7 7 7 8 9 9 9 10 10 10 10 10 10 9 8 6 6 5 4 4 5 6 7 7 8 8 8 8 7 6 6 8 8 6 4 6 9 13 18 19 17 13 11 11 12 12 12 11 11 10 10 10 9 9 8 8 8 9 10 12 12 11 10 9 9 9 9 9 9 10 9 9 9 9 10 11 12 14 13 12 10 9 10 13 18 21 19 16 12 10 8 9 12 15 16 16 14 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 nan
nan 13 12 10 11 12 14 16 18 17 16 14 13 12 11 11 11 11 11 11 9 8 8 8 9 11 12 11 9 8 7 7 6 5 5 5 5 5 5 6 6 7 7 7 8 8 9 8 7 7 7 8 10 11 12 12 12 12 11 11 10 9 8 8 7 7 7 8 9 9 10 10 10 9 9 8 8 7 6 5 5 5 5 5 6 6 7 7 8 8 8 7 7 7 8 7 6 5 7 10 15 20 22 17 12 10 10 10 9 9 8 8 8 9 9 8 8 8 8 8 9 10 11 11 10 9 9 8 8 9 9 9 9 9 9 10 10 11 12 13 13 12 10 9 9 11 16 21 24 22 18 13 10 9 10 14 17 18 17 15 13 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 10 10 nan
nan 14 12 8 6 6 8 11 16 18 19 18 17 16 14 13 11 10 10 10 9 8 8 8 9 10 10 9 9 8 7 7 6 6 7 8 8 7 6 6 5 5 6 6 7 8 9 9 8 8 8 8 9 10 11 11 11 11 10 10 10 10 9 9 8 7 7 8 8 9 9 10 9 8 8 7 6 6 5 5 5 5 6 6 6 6 6 6 6 7 7 8 8 9 8 7 6 6 7 10 15 20 21 16 12 10 9 9 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 7 7 8 8 9 9 9 9 10 10 11 12 13 13 12 10 9 9 10 13 17 21 22 21 18 14 10 10 12 15 18 18 17 16 14 12 11 11 10 10 10 10 10 10 10 10 10 9 8 7 7 6 6 6 7 7 7 7 7 8 8 9 9 10 nan
nan 12 11 9 7 6 6 9 12 16 19 21 20 18 16 14 11 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 9 10 11 11 10 9 7 6 5 5 6 7 8 8 9 10 10 11 10 10 10 10 9 9 9 8 9 9 10 11 10 10 8 8 8 9 9 9 9 9 8 7 7 6 6 5 5 5 6 6 6 6 5 4 4 5 5 7 8 9 10 9 8 6 6 7 9 13 18 18 14 11 9 8 8 7 7 7 7 7 7 6 6 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 10 11 12 12 11 10 10 9 10 11 14 17 18 18 17 15 12 10 11 13 15 17 18 17 15 14 12 11 11 11 10 10 10 10 10 10 10 9 9 8 7 7 6 6 6 7 7 7 7 7 8 8 8 9 9 nan
nan 12 12 11 9 7 8 9 12 15 17 19 19 17 15 13 10 9 8 9 9 9 9 8 8 8 8 9 9 9 10 10 11 12 12 12 11 11 9 8 7 6 6 7 7 7 8 9 11 13 14 14 11 10 9 8 8 8 7 8 10 11 12 12 11 10 10 10 11 12 11 10 9 8 8 8 7 6 6 6 6 6 7 7 7 6 5 5 4 5 6 8 10 11 11 9 7 7 7 9 13 16 15 12 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 9 10 10 11 11 10 10 9 9 10 12 13 14 15 14 13 12 11 10 10 12 13 15 16 15 14 13 12 11 11 11 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 14 14 14 11 9 9 10 12 15 16 16 15 14 13 11 10 9 8 9 9 9 8 8 8 9 10 10 10 11 12 13 14 14 13 11 9 9 8 8 8 8 8 9 9 8 8 8 10 14 16 16 13 11 9 8 8 8 8 9 10 12 13 13 13 12 12 14 16 17 16 14 11 10 9 8 7 6 6 6 6 6 7 9 10 10 9 7 6 6 6 8 10 12 12 10 8 8 8 11 15 16 15 11 8 6 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 7 7 7 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 10 11 11 12 13 13 13 12 12 11 10 10 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 nan
nan 13 13 13 13 11 10 11 12 14 15 14 13 12 11 10 10 9 9 9 9 9 8 8 8 10 11 12 11 12 13 14 15 15 13 10 8 8 7 7 8 9 12 13 13 10 9 9 10 14 16 16 13 11 9 8 8 8 9 10 12 13 14 15 14 13 13 15 20 22 22 19 16 12 10 8 7 6 6 6 6 7 8 10 12 13 12 10 8 7 7 9 11 12 12 10 8 8 10 12 17 18 15 11 8 5 4 3 3 4 4 5 6 6 6 6 5 5 5 5 5 5 6 7 7 8 8 8 7 7 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 11 12 12 11 10 9 8 8 8 7 7 7 6 6 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 nan
nan 10 10 10 12 13 13 13 14 14 14 13 12 11 11 10 10 10 10 10 9 9 8 8 9 11 13 12 12 12 12 14 15 14 13 10 9 8 7 6 7 10 14 17 17 15 12 12 12 14 16 15 13 10 8 8 8 8 9 11 13 14 15 15 14 13 13 15 19 23 24 23 19 15 11 8 7 7 7 8 8 9 9 11 13 13 12 11 9 8 9 9 11 11 10 9 8 9 10 13 17 18 15 11 7 5 4 3 3 4 4 5 6 6 6 6 6 6 5 5 5 5 6 7 7 8 8 8 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 7 8 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 7 7 7 8 8 8 8 8 nan
nan 7 7 7 9 12 15 16 16 15 13 12 11 11 11 11 11 11 11 11 10 10 9 10 11 13 14 13 12 12 12 13 14 14 13 11 9 8 6 5 6 8 12 16 19 19 17 16 16 16 17 15 12 9 8 7 8 9 10 12 13 14 13 13 13 12 13 15 18 21 23 22 20 16 11 9 10 11 12 13 12 12 13 14 14 13 11 9 8 8 9 9 10 10 10 9 9 9 10 13 16 16 13 10 7 4 4 4 4 5 6 7 7 7 7 6 6 6 6 6 5 5 6 6 7 8 9 9 9 8 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 8 8 8 8 7 7 8 9 10 11 12 11 10 8 7 8 9 9 8 8 7 7 7 6 7 7 7 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 nan
nan 7 6 6 7 11 15 17 18 16 13 11 11 10 11 10 10 10 10 11 11 11 12 13 14 14 15 15 14 14 14 14 15 14 12 10 8 6 5 4 4 5 9 13 16 19 20 20 20 19 17 15 11 9 7 7 8 9 11 12 13 12 12 11 11 12 14 16 18 20 20 20 18 15 12 10 12 14 16 17 16 15 15 16 16 14 11 8 7 8 9 9 10 9 9 9 9 9 10 12 14 13 11 8 5 4 4 5 7 8 9 10 9 8 7 6 6 6 6 6 6 6 6 7 9 11 12 13 12 11 9 8 7 7 7 8 9 9 9 9 8 7 6 6 8 9 10 9 8 6 6 8 11 14 17 18 17 14 10 8 8 8 7 7 7 7 7 6 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 nan
nan 10 8 7 7 9 13 16 17 16 13 11 11 10 10 9 9 9 10 11 13 14 14 14 14 15 16 17 17 17 17 16 15 13 11 9 7 5 4 3 2 3 5 9 12 15 18 21 21 20 17 14 10 8 7 7 8 10 11 12 11 11 10 10 10 13 15 17 18 18 18 16 15 13 12 11 13 15 16 16 15 14 15 16 15 13 10 8 8 9 10 11 10 10 9 9 8 9 9 11 11 10 9 7 5 5 5 7 9 11 12 13 11 9 7 6 5 6 6 7 7 8 9 12 15 18 19 19 17 15 12 10 9 8 8 8 8 8 8 8 7 6 6 6 8 9 9 8 6 5 7 11 16 20 22 23 21 17 13 9 8 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 nan
nan 12 10 9 8 9 12 14 16 14 12 10 10 10 10 9 8 9 10 13 14 15 14 14 13 15 16 17 18 18 17 16 14 11 9 7 6 6 5 4 3 3 4 7 9 12 15 18 19 19 16 13 9 7 7 8 9 10 11 10 8 7 7 8 9 12 15 17 17 16 15 14 12 11 11 12 13 13 13 13 13 12 13 13 12 11 9 8 8 10 11 13 12 11 9 8 8 8 8 9 9 8 8 7 6 6 7 8 11 13 14 14 13 10 8 6 5 6 6 8 9 11 15 19 23 24 24 23 20 18 15 12 10 9 8 8 8 7 7 7 6 6 6 6 7 7 6 5 3 3 8 14 19 22 24 23 20 16 12 10 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
26 24 26 32 38 36 38 35 32 27 23 22 22 22 20 16 15 14 12 11 11 11 11 11 11 10 10 10 9 9 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 7 6 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 1 0 0 0 0 0 0 1 8 34 123 650 1856 2678 3174 3312 3120 3156 3301 3434 3495 3484 3750 3935 4040 4203 3739 2066 779 740 961 1155 1223 1202 1175 1174 1161 1115 1103 1150 1158 1128 1108 1140 1276 1537 1803 1985 1832 1718 1679 1569 1391 1295 1363 1413 1147 962 884 1065 1522 1805 1654 1505 1820 1847 1986 2586 2818 2839 2605 2309 2105 1982 1916 1825 1674 1535 1440 1366 1283 1177 1064 971 933 950 1022 1111 1213 1342 1430 1415 1301 1139 930 748 600 478 379 288 205 147 132 154 193 224 246 291 327 349 365 364 329 265 190 134 105 88 77 71 69 72 81 106 140
25 24 26 33 40 42 40 35 30 19 15 16 16 16 15 13 13 13 13 12 12 12 12 10 11 10 10 9 9 8 7 7 6 6 6 6 6 6 6 7 6 6 7 7 6 6 6 7 6 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 1 0 0 0 0 0 0 5 27 146 580 1628 2854 3310 3519 3655 3694 3702 3749 3822 3758 3947 4090 4201 4258 4116 3368 1889 796 883 1191 1359 1329 1211 1136 1143 1193 1236 1239 1210 1176 1117 1082 1119 1314 1635 1850 1763 1494 1350 1306 1222 1134 1182 1367 1421 1107 856 767 1094 1861 2318 1943 1541 1831 2160 2156 2478 2339 2269 2090 1931 1874 1846 1771 1665 1558 1480 1381 1265 1127 973 837 738 669 651 657 720 841 980 1082 1121 1093 998 836 638 455 326 237 167 109 72 63 84 125 162 181 204 218 226 248 268 258 215 161 112 84 64 52 44 38 32 30 35 46
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9 9 9 10 10 9 8 7 8 7 7 7 6 5 4 4 5 3 3 3 3 3 4 4 5 5 5 5 5 4 4 3 3 2 2 2 2 3 2 2 2 2 1 1 0 1 1 2 2 1 0 0 0 0 0 0 0 42 210 298 174 60 9 0 0 0 0 2 12 41 68 72 47 15 4 3 18 62 142 252 369 449 460 432 394 363 343 320 282 232 179 137 109 90 73 61 52 46 41 44 62 92 127 166 221 316 444 585 720 821 848 660 540 502 531 599 676 749 779 774 773 780 775 746 708 697 742 875 1031 1118 1065 966 1016 1002 878 620 322 112 31 27 34 52 103 191 302 382 377 291 190 151 200 283 287 179 43 1 2 2 1 1 1 0 0 0 0 0 0 0 0 1 2 4 5 3 2 1 0 0 1 3 6 7 8 5 3 3 4 11 18 27 33
9 9 9 9 9 8 7 7 7 7 6 6 5 4 4 4 3 3 3 3 3 3 4 4 5 5 5 4 4 3 3 2 1 1 1 2 2 2 2 2 2 2 2 1 1 1 2 1 1 1 0 0 0 0 0 0 0 75 232 308 165 49 8 0 0 0 2 7 30 59 61 44 21 6 1 0 1 18 71 171 303 420 450 423 395 376 356 325 284 232 174 131 105 86 66 47 34 29 28 33 49 75 109 159 237 348 444 520 602 682 707 620 514 457 465 517 584 637 649 647 659 686 712 703 662 626 643 739 900 1057 1063 999 961 896 835 617 319 120 53 48 31 17 35 94 166 232 269 251 196 149 171 217 198 104 14 0 1 3 1 1 1 1 0 0 0 0 0 0 0 0 1 3 3 2 1 0 0 0 2 4 8 7 6 4 2 2 2 5 10 22 31
9 9 9 9 8 6 7 7 7 7 6 6 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 2 1 0 0 1 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 99 186 165 60 4 1 0 1 3 9 19 33 49 32 17 10 8 6 3 0 3 27 91 198 310 362 372 399 401 382 350 308 254 191 138 104 79 58 40 27 22 24 33 51 75 110 166 246 332 371 373 398 473 570 627 597 545 503 483 493 520 543 563 585 621 669 694 689 688 715 691 740 873 888 850 839 832 800 667 440 265 165 100 41 16 25 64 117 169 209 215 179 123 95 96 74 31 2 0 1 4 2 2 2 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 2 3 3 3 3 2 1 1 1 2 5 16 24
8 8 8 8 7 7 6 7 7 6 6 6 5 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 2 2 1 0 0 0 0 1 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 106 118 61 15 0 0 2 7 15 22 25 17 16 7 9 13 15 14 8 3 1 7 35 95 175 252 330 403 425 423 394 345 283 213 148 103 72 49 33 22 16 24 38 62 85 119 174 241 298 310 293 301 349 432 522 573 564 506 452 433 449 479 507 530 566 647 762 789 766 749 673 536 553 617 699 779 836 843 767 594 456 320 176 69 31 33 62 94 129 158 160 125 69 26 17 11 3 0 0 1 3 3 4 3 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 2 2 3 8 12
7 7 7 7 7 7 7 7 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 1 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 58 45 17 2 0 2 13 31 37 26 11 0 2 5 14 19 20 17 11 5 0 1 9 34 88 176 291 395 445 451 420 362 289 214 147 103 72 48 31 18 14 28 52 79 103 136 182 235 279 303 315 327 328 337 372 424 452 433 405 389 394 419 452 486 537 677 1006 946 809 732 633 469 507 599 669 718 755 771 730 648 582 434 259 136 84 64 58 69 85 94 87 61 26 3 0 0 0 0 1 2 3 4 4 4 3 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 2 5 8
7 7 7 7 6 7 8 8 7 5 5 4 4 4 3 3 3 3 3 3 3 3 2 1 2 2 2 1 0 1 0 0 0 0 0 1 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 7 25 49 22 5 1 6 22 45 60 44 15 2 3 9 15 18 19 18 15 9 3 0 0 1 10 45 116 221 338 420 437 405 342 266 193 134 97 73 53 32 18 18 37 67 97 123 157 195 235 275 318 365 404 382 335 307 312 336 350 356 348 344 364 401 437 483 654 878 824 830 838 778 701 720 820 888 871 795 714 667 639 604 449 305 207 142 93 62 59 62 55 39 21 7 0 0 0 0 0 1 3 5 6 6 5 3 1 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 4 5
7 8 10 10 9 8 8 8 7 6 5 4 4 3 3 3 4 3 3 2 3 3 2 1 1 2 2 1 1 1 1 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 56 142 188 112 34 18 43 70 76 55 16 2 1 11 17 17 16 16 15 13 9 3 0 0 0 2 20 62 128 215 303 352 341 291 227 166 118 88 73 64 42 25 26 48 82 111 134 168 201 226 252 288 337 395 402 353 302 276 282 302 320 317 314 333 366 383 377 376 339 475 603 708 773 807 856 1005 1115 1022 853 722 653 595 525 385 276 193 125 75 52 57 62 45 21 6 1 0 0 0 0 1 3 4 5 6 6 5 3 1 0 1 2 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
7 10 14 15 13 10 9 6 5 5 5 4 3 3 4 4 3 2 2 2 3 2 2 1 2 2 1 0 0 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 1 5 16 18 11 2 1 8 53 198 339 379 269 104 58 81 85 62 26 0 0 1 8 10 9 11 13 15 15 12 6 2 0 0 1 5 23 56 104 165 218 238 222 190 157 128 105 93 91 82 52 42 59 90 116 137 168 197 208 209 215 243 298 360 359 327 297 287 294 303 301 301 320 331 311 254 178 141 182 250 339 441 545 671 871 1038 956 828 737 646 529 407 284 184 108 58 35 38 55 66 48 20 5 0 0 0 0 1 2 3 5 5 6 6 4 2 1 0 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 0 0
9 14 18 18 14 12 12 8 7 6 6 7 7 5 4 3 3 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 7 21 51 81 76 46 17 9 35 154 334 435 440 331 161 70 61 46 22 5 0 0 0 0 1 4 9 15 19 19 16 11 5 1 0 0 0 4 21 49 85 123 148 156 155 158 159 150 139 133 130 84 58 67 95 122 142 158 171 170 155 142 159 217 296 339 333 317 301 289 280 269 260 262 246 203 147 100 85 91 102 124 161 220 312 445 603 708 728 707 595 430 276 165 90 46 24 19 27 43 55 45 15 3 0 0 0 0 0 1 3 5 6 6 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 1 1 1 0 0 0
14 17 21 21 18 15 14 14 13 8 8 9 9 7 4 3 3 3 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 32 95 163 177 138 87 46 31 61 150 265 288 291 224 124 56 29 15 3 0 0 0 0 0 4 12 17 19 20 18 14 9 4 1 0 0 0 1 14 36 61 84 101 111 121 139 161 175 199 220 207 131 80 76 96 118 134 141 143 142 137 125 142 189 246 283 280 273 255 231 209 188 170 158 139 108 82 66 61 60 58 58 63 79 117 191 311 469 600 622 474 286 149 74 38 22 12 8 12 23 34 27 1 0 0 0 0 0 1 1 3 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0
19 19 21 22 20 20 20 22 22 21 16 10 7 5 4 3 3 3 2 2 2 1 1 0 1 3 5 4 0 0 0 8 11 17 35 50 51 38 21 8 0 0 0 0 2 42 111 169 172 136 95 70 66 81 103 121 127 133 105 67 34 13 1 0 0 0 0 0 4 16 28 29 24 18 13 8 3 0 0 0 0 1 5 17 29 47 65 78 87 95 108 134 176 251 283 261 204 129 89 80 84 98 120 147 170 178 156 159 170 178 176 162 153 140 123 107 92 79 70 61 53 44 37 30 27 28 31 36 48 80 145 260 421 558 527 343 177 78 35 20 12 5 1 2 7 12 9 0 0 0 0 0 0 1 2 3 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 2 2 3 2 1 0
25 23 22 22 23 28 25 25 24 19 13 12 9 6 5 4 3 2 2 2 1 1 1 0 1 7 9 5 1 5 13 41 68 102 133 146 146 129 93 59 37 22 9 2 3 12 25 42 70 85 86 87 95 105 105 96 93 90 68 40 19 6 0 0 0 0 0 0 7 23 35 36 26 16 9 3 0 0 0 0 0 3 10 20 26 33 48 64 75 84 94 115 170 250 292 293 251 167 84 43 31 39 70 122 172 187 154 123 99 80 63 51 49 47 44 41 35 30 27 26 24 22 20 19 19 20 21 24 36 73 156 301 463 530 454 281 145 64 29 17 10 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 4 5 5 6 5 3 1 0
28 27 26 25 27 31 27 25 20 16 12 10 9 6 4 3 2 2 1 1 0 1 1 0 2 11 16 7 7 16 32 63 107 155 188 194 182 159 130 100 84 56 30 12 4 1 0 4 27 58 85 99 104 106 93 80 78 72 51 22 5 0 0 0 1 2 4 2 10 22 28 29 22 12 5 1 0 0 0 0 0 5 15 22 25 28 37 54 72 91 111 136 174 215 236 234 197 129 56 12 6 11 31 79 135 144 83 47 25 13 9 9 12 15 18 17 16 15 15 15 15 16 16 15 15 14 15 16 27 65 165 348 500 503 413 278 158 77 35 17 9 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 6 9 11 12 12 11 10 8 5 2 0
27 27 27 26 26 27 26 24 20 16 12 9 7 5 3 2 2 1 1 1 0 0 0 0 6 21 33 20 10 11 21 40 69 108 156 157 129 94 69 54 50 45 40 25 6 1 0 0 15 44 72 83 75 59 36 33 38 37 24 8 1 0 0 1 5 13 17 8 9 11 13 14 12 6 1 0 0 0 0 0 0 8 20 27 27 28 35 52 82 116 155 176 169 160 146 127 95 57 24 5 0 4 20 50 81 78 28 7 2 0 0 1 3 5 9 10 10 10 10 10 9 11 12 11 9 7 7 8 15 44 142 340 479 467 371 251 140 61 20 6 3 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 0 0 0 0 0 1 1 3 5 7 7 10 13 16 17 17 15 12 10 8 6 5
19 22 22 21 21 21 19 15 14 18 13 9 6 4 3 2 1 1 1 1 0 0 0 0 14 38 56 42 7 2 5 10 19 36 65 68 50 27 11 4 3 18 35 28 12 2 0 0 7 26 44 48 34 12 2 3 7 8 5 1 0 0 0 2 9 19 24 14 8 2 2 2 3 2 0 0 0 0 0 0 1 11 27 32 28 27 35 54 96 148 195 192 149 111 81 57 39 24 13 6 1 4 19 37 42 29 7 1 0 0 0 0 0 1 4 6 4 4 5 4 2 1 1 0 0 0 1 2 4 16 87 280 422 422 311 178 76 22 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 7 10 15 18 18 16 12 11 11 12 12 11
10 12 11 11 12 11 10 7 4 8 6 4 3 2 2 1 0 1 2 2 1 0 0 3 39 74 88 72 29 7 1 0 0 1 4 11 9 4 1 0 2 8 23 29 15 4 0 0 2 7 14 13 6 0 0 0 0 0 0 0 0 0 0 0 4 16 24 22 19 11 5 1 0 0 0 0 0 0 0 0 3 13 31 34 30 27 33 56 98 161 193 166 113 69 43 33 29 27 23 17 12 14 24 32 15 4 1 0 0 0 0 0 0 0 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 3 32 206 370 383 261 118 31 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 5 7 12 14 14 11 8 9 12 15 15 13
4 4 3 2 2 3 3 2 1 2 2 2 1 0 1 2 2 1 6 3 2 19 54 81 131 148 126 89 44 7 2 1 0 0 0 1 1 0 0 0 0 3 12 32 13 3 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 30 35 34 25 12 4 1 0 0 0 0 0 0 0 3 13 30 36 32 28 34 56 96 150 157 125 78 43 30 30 36 42 45 45 45 44 38 12 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 1 7 158 331 346 234 109 57 48 39 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 2 1 0 1 3 10 12 10 8 8 10 11 13 13 13
2 1 1 1 1 1 1 2 2 3 3 2 1 1 2 3 3 3 7 2 9 86 176 233 257 224 148 94 52 20 8 5 2 0 0 0 0 0 0 0 1 9 23 37 13 3 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 1 19 38 46 42 32 17 6 1 0 0 0 0 0 0 3 6 13 23 32 34 36 44 65 97 128 127 100 62 36 27 29 38 49 65 85 91 83 57 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 17 141 303 317 226 145 143 172 131 70 21 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 1 0 0 1 2 3 3 4 6 4 0 1 2 7 10 10 9 9 10 10 9 9 12 12
1 1 1 1 1 1 2 3 3 3 2 1 1 2 4 5 7 7 7 7 35 159 277 325 306 243 157 97 59 37 23 13 5 1 0 0 0 0 0 0 3 22 39 41 19 4 0 0 0 0 1 3 8 3 0 0 0 0 0 0 0 0 0 0 2 15 42 46 36 24 14 5 1 0 0 0 0 0 0 7 10 12 17 26 37 48 66 89 105 113 109 95 66 43 32 30 34 43 63 97 97 74 39 9 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 25 132 285 321 252 194 194 232 247 151 51 10 1 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 1 3 5 6 7 6 6 7 4 1 2 2 5 7 9 12 15 16 15 13 13 15 15
1 1 1 1 2 2 3 3 3 2 1 4 5 5 5 6 6 14 45 113 245 398 398 349 285 220 161 111 91 71 50 28 10 2 0 0 0 0 0 2 9 33 45 40 22 6 0 0 0 0 0 2 7 2 0 0 0 0 0 0 0 0 0 0 1 6 32 25 15 7 4 2 0 0 0 0 0 0 0 5 6 8 14 27 43 61 87 105 110 111 111 105 87 61 42 33 32 35 45 58 41 21 7 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 25 110 250 337 308 253 212 201 205 147 58 15 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 2 5 7 8 7 7 7 7 5 4 4 4 4 8 12 17 21 23 21 20 20 20 21
2 1 1 2 3 3 3 2 1 0 2 8 10 9 7 8 13 62 207 357 471 486 397 306 240 192 157 135 129 100 66 31 9 1 0 0 0 0 1 4 14 32 31 26 15 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 4 1 0 0 0 0 0 0 0 0 0 0 1 1 7 19 35 52 67 75 83 107 130 138 128 105 76 52 37 30 29 30 29 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 16 72 175 286 312 282 225 171 133 92 36 10 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 9 10 10 10 11 11 10 12 17 22 25 26 27 27 25 24 25
2 2 2 2 2 2 2 1 1 0 1 6 10 14 15 47 143 310 471 526 490 395 297 231 199 177 163 153 136 101 48 17 4 0 0 0 0 0 0 3 11 22 15 13 7 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 1 3 14 31 44 49 46 40 45 91 145 164 147 111 75 48 33 28 28 29 24 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 7 33 87 162 215 232 214 161 99 52 18 4 1 1 4 10 16 17 5 1 0 1 10 34 68 59 19 1 1 0 0 0 0 0 2 4 4 4 4 4 3 5 9 12 15 18 19 19 21 23 25 25 25 26 26 28 28 27 25 25 27
2 2 2 2 2 2 1 1 0 0 0 2 8 22 39 136 342 558 595 479 348 251 199 179 168 160 158 153 129 77 18 4 1 0 0 0 0 0 0 2 11 24 29 26 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 15 32 43 37 24 16 25 76 137 157 142 105 66 39 29 27 26 23 15 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 9 28 63 107 165 193 156 93 44 17 5 4 10 27 58 93 99 42 12 2 0 25 85 147 128 53 11 1 1 1 1 1 1 2 6 8 9 8 6 3 6 13 17 21 24 24 25 26 28 28 26 26 25 25 26 26 25 25 27 32
1 2 2 2 2 1 1 1 0 0 0 2 14 48 157 300 482 571 484 314 186 141 140 148 146 139 137 129 92 42 4 0 0 0 0 0 0 0 0 2 12 38 56 53 31 10 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 2 7 18 32 31 21 12 19 50 90 108 106 85 55 31 21 15 7 5 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 1 5 19 50 115 175 156 104 56 28 17 16 25 57 124 194 210 133 45 9 0 11 35 62 66 65 20 1 1 1 1 1 0 2 5 9 11 12 11 9 11 16 21 23 24 23 22 22 23 24 24 23 22 24 25 25 25 27 31 36
0 1 1 2 1 1 0 0 0 0 0 2 26 119 350 533 508 423 293 155 76 91 128 138 131 120 110 93 50 16 1 0 0 0 0 0 0 0 2 4 15 47 69 67 45 15 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 22 41 41 23 11 15 28 41 46 41 27 12 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 5 26 81 159 166 129 81 48 33 29 37 72 135 198 217 163 60 11 0 1 4 9 17 46 14 1 1 1 1 0 0 2 5 9 13 19 19 18 20 21 22 22 21 19 18 17 18 20 21 20 20 21 23 24 25 27 31 35
1 1 1 2 1 0 0 0 0 0 0 1 94 199 318 416 373 263 132 50 36 69 118 131 128 115 92 59 15 3 0 0 0 0 0 0 0 3 8 16 23 50 65 63 44 18 2 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 19 50 66 33 10 3 3 6 7 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 0 0 0 0 0 2 19 64 143 182 169 129 89 64 53 59 77 92 106 106 79 31 4 0 0 0 1 3 14 13 6 2 0 0 0 0 1 4 9 13 15 18 20 21 22 21 20 18 17 17 15 15 16 19 21 21 21 23 24 24 26 31 35
2 1 1 2 1 0 0 0 0 0 0 0 89 209 275 281 241 137 50 33 46 73 105 149 147 116 72 29 1 0 0 0 0 0 0 0 0 5 19 33 41 58 57 52 33 13 2 3 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 25 20 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 36 64 40 17 4 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 18 57 126 188 199 169 127 92 75 76 69 52 34 23 18 12 6 3 1 0 0 0 3 22 14 5 1 0 0 0 1 3 7 10 11 11 14 18 20 21 20 19 18 17 15 14 15 19 22 22 23 24 24 24 26 30 36
3 2 1 1 1 0 0 0 0 0 0 2 17 111 170 170 123 69 39 48 61 83 119 149 141 96 49 15 0 0 0 0 0 0 0 0 0 7 33 67 71 58 60 41 20 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 21 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 20 46 46 27 15 7 2 0 0 0 0 2 18 31 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 0 0 0 0 4 16 46 97 154 179 160 130 102 85 76 53 32 17 14 23 35 39 23 9 2 0 0 4 26 20 8 1 0 0 0 1 3 4 6 10 12 13 16 18 20 20 19 19 18 16 15 16 19 22 24 24 24 24 24 25 30 34
2 1 1 1 1 1 1 0 0 0 0 1 11 50 71 61 41 27 26 32 44 56 80 96 83 52 24 6 0 0 0 0 0 0 0 0 4 19 63 119 85 50 55 32 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 24 32 26 17 8 2 0 0 0 1 4 16 18 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 3 10 27 56 89 111 108 95 82 77 71 48 24 10 10 29 63 88 65 21 5 0 0 8 35 27 7 1 0 0 0 2 4 4 5 7 9 11 15 17 18 18 18 18 19 18 17 18 20 24 26 26 26 26 25 25 29 33
2 2 1 1 1 1 1 1 0 0 0 1 5 12 15 10 5 4 7 16 34 37 45 46 36 20 8 1 0 0 0 0 0 0 0 3 17 49 103 154 84 56 45 20 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 8 7 4 2 1 0 0 0 0 0 11 11 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 1 3 12 26 42 52 54 48 46 49 48 36 19 7 4 23 68 115 106 23 5 1 4 20 45 38 6 0 1 1 1 1 3 5 7 9 11 12 13 14 14 15 16 17 18 19 20 21 23 25 27 28 29 29 28 28 31 33
2 2 2 2 2 2 2 1 1 0 0 0 1 1 1 0 0 0 2 11 23 23 24 23 16 7 1 0 0 0 0 1 2 3 5 14 35 70 108 129 71 44 25 10 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 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 18 22 21 19 24 34 36 28 16 6 1 14 56 101 102 15 3 0 1 13 34 36 4 0 2 3 2 1 2 3 6 9 11 10 8 10 12 13 14 16 18 20 22 24 26 27 28 30 31 31 30 30 32 34
2 2 2 2 3 3 3 2 2 1 0 1 0 0 0 0 0 1 2 7 12 15 19 15 8 3 0 0 0 0 3 9 13 15 19 29 49 74 89 82 50 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 8 6 5 16 24 24 18 10 3 2 14 54 76 57 11 1 0 0 8 22 28 9 1 2 3 3 2 1 1 1 1 1 1 0 2 10 12 14 16 18 22 24 26 29 31 31 32 32 32 32 32 32 32
2 3 3 3 3 4 4 2 1 0 0 0 0 0 0 1 4 6 3 4 10 19 22 10 2 1 0 1 4 8 18 27 31 36 48 68 93 110 110 81 41 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 3 7 8 7 4 2 2 8 32 59 49 17 2 0 0 0 2 8 16 18 2 1 3 3 3 2 1 1 0 0 0 0 1 8 13 15 17 20 23 26 29 33 36 36 35 35 35 35 34 33 32
4 4 3 4 4 4 4 2 1 0 0 0 0 0 0 1 2 3 1 1 7 12 11 4 0 0 0 4 16 32 46 52 53 70 99 134 167 180 167 107 51 18 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 0 0 0 0 0 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 10 32 64 48 22 4 0 0 0 0 0 2 12 24 3 1 2 3 3 2 2 0 0 0 0 0 1 8 13 16 18 22 27 30 31 35 38 40 40 39 39 38 37 37 36
5 5 4 4 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 0 0 9 33 56 71 79 83 105 132 157 173 174 155 88 42 16 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 0 0 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 7 33 77 76 29 8 1 0 0 0 0 0 1 15 28 6 1 2 2 2 1 0 0 0 0 0 0 1 4 8 12 16 21 26 28 30 34 39 42 42 40 39 39 38 38 37
5 5 5 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 45 67 90 110 122 130 131 125 114 101 79 39 16 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 4 24 68 104 63 19 4 0 0 0 0 0 0 0 16 27 8 0 1 1 1 0 0 0 0 0 0 0 0 0 2 5 10 17 22 24 27 33 40 42 40 36 34 33 35 36 36
5 6 6 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 22 54 78 111 139 157 157 133 88 53 40 26 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 15 18 12 5 7 11 11 8 4 2 3 18 85 133 124 57 13 2 0 0 0 0 0 0 1 6 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 17 21 24 30 35 37 35 31 28 26 31 35 36
5 6 7 7 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 30 64 100 121 150 184 191 155 89 37 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 32 43 38 33 44 55 52 40 26 19 26 61 137 151 107 43 8 1 0 0 0 0 1 4 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 11 16 21 27 30 30 28 25 21 20 29 35 39
4 5 6 7 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 38 71 101 114 154 203 216 176 98 26 9 2 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 7 38 60 74 85 100 115 109 88 68 62 76 121 120 81 41 13 2 0 0 0 0 0 5 25 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 17 21 22 20 17 16 16 16 27 36 40
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