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 nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 9 8 8 7 7 7 7 7 6 6 5 6 7 8 9 9 8 8 8 8 9 10 10 10 11 13 16 20 21 18 14 9 5 2 1 2 5 7 9 9 9 8 7 6 4 2 1 2 5 9 12 14 14 11 8 6 5 6 6 6 6 6 5 4 4 5 6 7 8 8 8 7 6 6 7 9 11 12 12 15 17 16 12 7 6 6 7 9 12 15 17 19 19 19 18 14 12 11 10 9 8 8 7 7 6 5 4 4 5 5 5 5 4 3 3 3 3 4 4 4 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 9 9 7 6 6 6 7 7 7 6 6 6 7 8 8 8 8 8 8 9 10 10 10 10 11 15 19 21 20 16 13 10 7 3 1 2 4 7 8 8 8 6 5 4 2 1 1 3 5 8 12 14 14 12 10 8 8 8 8 7 6 6 5 4 4 4 5 6 7 6 6 6 6 7 9 10 12 13 13 14 15 13 9 7 7 9 11 13 16 19 21 22 21 20 17 14 11 10 8 7 7 6 6 6 6 6 6 6 6 7 7 6 5 4 4 5 6 5 5 6 nan
nan 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 7 7 8 9 8 7 6 5 6 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 11 11 11 12 15 18 19 17 14 11 9 6 2 -1 0 3 7 8 7 6 4 3 1 0 1 3 5 6 9 12 14 14 12 10 9 9 10 10 9 7 6 5 4 4 5 5 6 6 6 6 7 8 9 10 11 12 12 11 9 8 8 8 8 9 10 12 14 17 20 21 21 20 17 13 11 9 7 6 5 5 5 6 6 6 7 7 8 8 8 7 6 6 6 6 6 5 4 5 6 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 8 7 7 7 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 6 5 6 6 7 7 7 7 7 8 8 9 9 9 9 10 10 11 11 11 11 11 12 14 14 12 11 9 6 2 -0 -2 -2 1 4 5 4 2 1 0 -0 1 3 5 7 9 10 12 12 12 11 10 9 10 10 10 9 7 6 5 5 5 5 5 6 7 7 8 8 9 10 10 11 11 9 7 4 3 5 7 8 9 10 11 12 14 16 18 17 15 11 9 7 7 5 2 2 3 4 5 6 6 7 7 7 8 7 6 6 5 5 4 2 2 3 5 6 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 9 7 7 7 7 8 8 9 9 9 9 9 8 8 7 6 5 5 5 6 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 10 10 11 11 11 11 12 11 10 9 8 8 7 5 2 -1 -2 -1 -1 -0 1 1 0 -1 -1 -1 0 3 5 8 10 11 11 11 11 10 10 10 10 10 11 10 9 8 7 6 6 5 5 5 5 7 9 10 10 10 9 10 11 10 8 7 6 6 7 6 6 8 9 9 9 9 9 10 9 7 5 5 5 4 2 0 1 2 3 4 5 5 5 5 6 7 6 5 4 4 3 1 0 2 5 5 5 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 8 7 6 5 4 4 4 4 5 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 8 9 9 10 10 10 10 11 11 11 11 12 12 12 10 8 6 5 4 2 0 -0 2 4 4 1 0 -0 -1 -0 0 1 2 4 7 10 12 13 13 11 10 10 10 11 11 12 12 10 9 9 9 9 7 6 5 4 5 7 10 11 12 11 11 11 10 9 9 10 12 12 10 7 7 8 9 7 6 5 5 5 3 2 2 4 4 3 2 1 2 3 3 3 3 3 3 4 5 6 5 4 3 3 2 2 2 3 4 4 3 nan
nan 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 8 9 9 9 8 8 8 8 8 7 6 5 5 4 4 4 5 6 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 9 9 10 10 10 10 11 11 11 11 12 13 13 11 8 5 3 2 3 4 6 9 10 9 5 2 1 2 2 2 2 3 6 9 13 15 15 13 12 12 12 12 12 12 13 12 11 10 10 11 11 10 7 5 4 5 7 9 11 13 13 13 11 10 10 13 16 16 14 11 8 8 9 9 7 6 6 6 4 2 2 3 3 3 2 2 3 4 3 2 1 1 1 2 3 4 4 4 4 3 3 3 3 3 2 3 4 3 nan
nan 8 7 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 8 8 8 9 9 10 9 9 8 7 7 7 7 7 7 8 8 7 7 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 8 9 9 9 9 10 10 11 11 11 11 12 12 12 12 13 13 12 10 6 2 1 3 6 9 11 12 11 8 5 4 5 4 3 3 4 7 11 15 16 15 13 12 13 13 14 14 15 15 15 13 12 11 11 11 10 9 6 5 5 6 9 11 14 15 15 13 12 14 18 19 16 13 10 9 10 10 10 9 10 10 8 5 3 3 3 2 2 2 3 4 4 2 0 -1 -1 0 2 3 3 2 3 4 5 5 4 2 1 1 2 5 6 nan
nan 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 7 7 6 6 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 10 11 12 13 13 13 13 13 13 12 12 12 12 10 5 1 -1 1 4 6 8 9 10 9 8 7 6 5 4 4 6 9 13 15 15 13 12 12 12 13 15 16 18 18 17 16 15 13 12 11 10 9 7 6 6 7 10 13 15 16 15 15 17 18 18 16 13 11 11 12 13 13 12 12 12 9 6 2 1 1 1 2 2 3 3 3 3 1 -0 -0 0 1 2 3 2 2 2 4 5 6 4 2 1 2 5 9 10 nan
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nan 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 9 8 7 5 4 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 11 11 12 13 15 16 17 17 16 15 14 14 13 12 10 7 2 -1 0 3 5 7 9 11 11 9 7 6 6 6 6 6 8 10 13 14 13 10 8 8 8 9 9 10 11 13 13 14 14 14 15 15 15 15 13 11 10 10 11 12 12 11 10 11 11 11 10 8 6 7 12 17 22 22 19 14 9 3 -0 -1 -1 1 3 6 8 8 5 2 1 2 4 5 6 8 8 7 5 5 5 4 3 4 6 7 7 6 7 9 14 15 nan
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nan 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 13 14 16 17 17 16 16 15 13 12 10 8 6 4 3 4 6 7 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 12 12 13 13 14 14 14 14 13 13 12 12 13 15 16 14 9 4 1 1 3 5 8 12 13 11 9 10 15 18 16 13 11 12 13 15 16 14 11 7 5 4 4 4 5 6 8 9 10 9 8 8 9 10 12 13 15 15 14 13 12 10 8 7 8 10 10 8 7 8 10 12 14 14 10 4 -0 -3 -3 -1 -0 1 3 5 6 6 5 3 3 3 5 5 3 2 3 4 6 7 7 6 5 4 3 3 6 7 7 6 6 7 9 nan
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nan 9 9 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 10 11 11 12 13 16 17 18 18 18 17 17 15 13 11 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 12 13 14 15 16 17 18 19 18 16 15 13 11 9 7 5 4 6 8 9 7 5 3 3 5 7 7 5 3 5 9 14 17 16 14 12 11 10 10 11 13 15 15 12 9 6 5 5 6 9 10 10 9 8 7 7 7 7 7 9 12 14 15 14 12 10 11 13 16 19 21 21 20 17 13 8 3 -1 -4 -4 -2 0 1 1 1 1 2 3 4 4 2 -0 1 10 18 16 10 5 4 4 5 7 8 8 8 8 8 6 7 10 15 18 17 14 11 nan
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nan 9 8 8 8 9 8 8 9 10 10 10 9 8 8 8 9 9 9 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 6 8 9 11 12 13 14 15 15 16 17 17 16 13 12 12 12 12 11 10 10 10 10 10 9 9 8 8 8 8 7 8 8 7 7 7 7 7 6 7 7 7 7 9 11 12 13 14 16 16 17 18 20 20 21 22 23 23 21 18 15 12 9 6 4 4 4 4 3 1 -1 -2 0 2 5 7 7 5 6 9 12 11 10 9 10 10 9 9 8 9 11 14 18 19 18 14 11 10 10 10 8 7 7 6 6 7 8 9 10 10 9 9 10 12 14 14 13 12 11 10 9 9 8 6 3 1 0 2 3 4 3 1 0 -0 -0 1 2 3 4 3 -0 -3 -1 5 13 16 13 11 9 8 7 7 7 7 5 2 -2 -4 -2 5 12 16 17 15 11 nan
nan 9 8 8 9 9 9 8 9 10 10 10 9 9 8 9 10 9 9 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 6 6 6 5 5 5 6 7 7 8 9 10 12 14 17 19 17 14 12 12 12 12 11 11 11 11 11 10 10 9 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 8 10 12 13 14 15 16 17 18 20 21 22 22 23 22 21 18 15 13 11 9 7 6 5 3 2 -0 -2 -2 0 4 8 10 10 8 8 8 9 10 8 7 7 7 8 8 8 7 8 10 13 17 21 22 19 15 13 11 10 9 7 6 6 6 7 9 10 11 10 7 5 6 9 12 14 14 11 9 7 5 4 4 3 1 0 1 4 6 6 4 2 1 1 1 1 3 4 5 4 3 1 2 4 8 11 12 11 9 9 8 9 9 9 6 3 -2 -4 -3 3 10 14 14 14 11 nan
nan 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 11 14 17 17 13 11 12 12 12 11 11 11 12 12 11 10 9 9 8 8 8 8 8 7 7 7 6 6 6 6 7 7 8 10 11 11 11 13 14 16 18 20 22 23 23 22 22 19 16 14 12 11 10 9 8 8 7 5 2 -1 -2 0 5 11 15 15 13 11 9 9 8 8 6 5 6 6 7 7 7 6 8 9 12 16 20 22 20 16 13 12 11 10 8 6 6 6 8 9 10 11 9 6 1 0 4 9 13 14 14 11 7 5 5 5 4 3 2 3 5 6 5 3 2 1 1 1 2 4 6 8 9 8 7 6 5 6 8 9 8 7 7 8 9 10 10 9 6 1 -2 -1 4 9 12 12 11 11 nan
nan 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 12 15 15 12 10 10 10 11 10 10 11 12 11 11 10 9 9 9 8 8 8 7 7 6 6 5 5 6 6 7 8 11 13 14 15 16 18 20 21 24 26 25 23 20 20 19 16 13 10 9 8 8 8 8 9 9 7 4 1 1 5 9 12 14 13 12 10 10 8 7 6 5 5 6 7 8 8 7 6 8 9 10 12 15 17 17 14 12 11 10 10 8 7 6 7 9 10 10 10 9 6 0 -4 -1 6 12 15 15 13 9 8 7 7 6 5 4 4 5 4 3 2 1 1 1 1 2 5 9 13 14 13 10 8 7 7 7 8 6 5 5 6 7 8 9 9 6 3 1 2 6 10 11 11 10 9 nan
nan 11 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 9 8 7 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 9 9 8 8 10 13 13 12 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 7 6 6 5 5 5 5 6 7 9 12 16 20 24 26 29 30 31 30 28 27 22 18 15 14 15 14 11 8 6 5 5 5 6 7 8 7 4 2 4 6 7 7 6 5 5 6 8 8 7 5 5 5 8 10 10 9 8 8 8 8 9 10 11 13 13 11 9 9 9 8 8 7 8 9 11 12 12 10 8 5 -1 -5 -2 5 11 14 15 13 11 9 8 7 6 5 4 4 4 4 3 1 0 -0 -0 1 4 9 13 17 18 15 12 10 9 9 10 10 8 7 5 5 5 6 6 7 6 5 5 7 9 11 12 11 9 7 nan
nan 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 9 9 9 9 11 13 12 10 8 8 7 8 8 9 9 8 8 8 8 8 8 7 7 6 5 5 5 5 5 5 6 9 13 18 23 29 33 36 37 38 35 31 24 19 14 10 7 7 8 10 10 7 6 6 5 5 5 5 6 6 5 5 5 4 2 -1 -3 -3 -2 1 5 7 7 6 6 8 13 15 13 11 10 10 9 8 8 10 12 12 10 8 6 6 7 7 8 9 10 11 12 13 13 11 8 4 -1 -4 -2 5 11 15 15 13 9 7 6 6 6 5 4 5 4 3 2 1 0 0 1 5 10 14 16 17 17 17 16 14 13 12 13 13 12 9 6 5 5 4 5 7 8 8 9 11 12 13 13 11 9 7 nan
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nan 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 9 9 9 9 8 7 7 6 6 6 6 6 5 5 5 6 6 6 7 9 11 12 11 10 8 6 6 6 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 7 10 15 19 20 20 20 22 24 24 22 19 16 13 10 8 5 0 -3 -4 -3 -1 2 5 7 9 9 7 5 4 4 6 5 3 -0 -3 -4 -3 -3 -1 0 2 4 4 5 8 14 19 20 16 13 11 10 8 8 9 12 15 15 11 7 4 3 4 8 11 12 11 9 7 7 10 13 14 12 7 2 2 6 14 19 19 16 12 8 7 6 5 5 8 9 9 7 5 6 7 9 12 15 17 17 17 18 19 20 20 19 16 14 13 12 11 10 9 9 8 8 8 8 9 9 8 8 8 9 11 11 8 4 nan
nan 9 9 9 10 10 10 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 10 10 9 8 8 8 9 9 9 9 9 8 7 7 7 7 7 6 6 5 5 5 4 4 5 7 9 11 12 11 9 7 6 6 6 7 7 7 6 6 6 5 5 5 5 5 6 7 8 9 13 16 17 15 13 13 13 14 14 13 12 11 10 9 8 6 3 -1 -3 -3 -1 4 7 10 12 13 10 7 4 4 4 4 2 -1 -3 -2 -2 -1 -0 1 2 3 4 5 7 12 16 16 13 11 11 10 9 9 11 14 16 16 12 8 4 3 4 8 12 13 11 8 5 3 3 7 11 12 9 6 5 8 13 17 18 16 13 10 9 7 4 4 7 9 10 10 9 10 12 14 15 16 16 16 17 18 19 19 18 16 14 12 10 10 9 8 9 9 9 8 7 7 7 7 6 5 6 8 10 10 8 4 nan
nan 9 9 10 10 10 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 9 9 9 9 8 8 7 7 7 7 7 6 6 5 5 4 4 4 6 7 9 11 11 9 7 6 6 6 6 6 6 6 6 5 5 5 5 5 6 7 8 9 11 14 15 15 13 11 10 10 10 10 9 8 8 8 7 7 7 6 4 1 0 3 7 11 14 15 15 12 9 7 6 6 5 4 2 0 0 0 1 1 1 2 4 5 5 6 8 10 11 10 10 10 10 10 11 13 16 18 16 12 8 4 2 4 9 13 15 13 9 5 1 -1 1 7 11 11 10 9 10 11 12 13 12 10 9 9 7 4 4 6 9 10 12 13 15 16 16 16 15 15 15 15 16 16 16 15 13 11 10 9 8 7 6 7 8 8 7 6 6 7 7 7 7 7 9 11 12 11 7 nan
nan 9 10 10 10 10 9 9 9 10 10 10 10 11 11 10 10 9 9 9 10 10 10 11 11 12 11 11 11 10 9 9 8 8 8 8 9 8 8 8 7 7 7 7 7 6 6 6 5 4 5 6 7 8 9 9 9 7 7 6 5 5 5 6 6 6 5 5 5 6 6 7 8 9 10 13 15 15 14 13 12 11 11 10 9 7 7 7 8 8 9 11 11 10 6 2 3 7 11 14 16 16 14 11 9 9 9 8 7 6 5 5 5 5 5 6 7 8 8 6 5 4 6 8 9 9 10 9 9 11 15 18 18 16 13 9 5 3 5 9 13 15 14 10 5 2 -0 2 8 13 14 13 11 10 9 9 10 10 9 8 7 5 4 5 7 10 13 15 17 18 18 17 16 15 15 14 13 13 13 13 12 12 11 10 8 6 4 3 4 5 6 6 6 6 7 8 8 9 9 9 11 12 11 9 nan
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nan 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 5 4 3 4 5 6 7 8 8 9 9 11 13 17 18 18 17 14 11 10 8 6 4 1 -1 1 6 11 15 17 18 19 17 13 7 2 1 4 9 13 16 17 15 13 11 9 8 8 8 9 9 11 13 16 19 21 20 17 11 7 6 7 8 9 7 3 0 0 4 10 15 15 12 10 10 10 9 7 7 7 8 8 8 7 6 7 11 14 16 16 13 9 6 5 5 4 4 4 5 5 7 10 14 18 19 16 13 11 10 10 12 14 14 13 12 11 11 11 11 12 11 9 6 4 2 1 2 4 5 5 5 4 4 1 -2 -2 0 5 10 13 14 14 14 nan
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nan 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 13 17 19 19 17 13 10 8 8 10 12 13 13 13 15 15 15 11 9 8 9 10 12 13 12 11 8 4 3 7 13 18 22 24 24 22 20 18 16 13 10 9 10 12 13 15 18 20 21 20 16 12 11 11 12 11 11 9 6 5 6 8 11 11 9 6 4 3 3 4 6 9 12 14 12 9 5 3 2 3 4 6 8 9 9 9 7 4 -1 -4 -1 6 13 17 16 13 9 8 9 10 10 8 7 6 6 5 5 4 4 5 4 1 -1 0 4 8 12 15 15 12 9 8 8 10 12 12 11 9 6 5 4 3 1 1 2 3 nan
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nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 10 10 14 21 27 31 30 23 17 14 12 10 9 8 8 10 12 13 14 15 16 16 14 10 7 6 7 8 9 12 16 20 21 19 15 10 7 7 9 10 10 10 10 9 7 5 5 7 8 9 9 8 7 6 5 3 2 1 1 1 2 4 6 9 12 15 17 19 20 20 19 16 12 9 7 7 9 9 9 8 8 8 8 7 6 6 6 6 7 10 16 20 20 17 14 12 11 9 7 5 5 5 6 7 7 6 6 7 8 9 10 10 9 10 12 12 11 10 10 11 12 12 13 13 13 12 11 9 7 6 5 5 6 7 8 7 7 5 6 8 9 9 9 9 12 16 18 15 12 8 4 2 1 2 4 7 10 12 15 20 25 26 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 13 20 26 29 28 23 15 12 11 11 10 9 9 9 10 11 12 13 15 15 13 10 8 7 8 10 12 16 19 18 16 12 9 6 4 4 5 6 7 7 9 9 9 9 8 9 11 12 12 11 10 8 7 5 4 3 2 2 2 4 6 8 10 13 15 16 16 17 19 18 17 13 9 7 7 8 9 9 9 9 9 8 8 7 7 7 7 10 16 19 16 13 12 12 13 11 9 7 7 7 7 7 6 5 3 4 6 8 9 8 8 9 11 12 12 13 14 15 14 12 10 9 8 7 6 6 5 5 6 6 7 8 9 10 11 10 9 10 11 10 10 11 14 17 18 16 12 8 5 4 3 3 5 6 8 10 13 18 24 24 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 13 18 25 29 29 25 17 11 11 11 11 12 12 12 11 11 12 12 13 14 13 10 8 8 9 11 14 17 18 15 10 5 3 2 3 5 6 6 6 8 10 12 12 11 10 9 10 11 11 12 11 10 9 8 8 7 7 6 6 6 6 6 8 9 11 12 12 13 16 19 19 17 12 8 7 8 9 10 9 9 8 8 7 7 7 7 8 10 14 17 16 15 15 16 16 12 8 7 8 8 8 6 5 4 3 4 6 9 10 10 9 9 10 12 14 15 16 16 14 9 7 7 7 7 6 6 5 4 4 5 7 9 12 15 15 14 12 11 11 11 11 13 16 19 19 17 14 10 7 4 4 5 6 8 9 9 12 16 20 21 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 13 18 25 31 32 28 20 13 11 11 12 13 14 14 13 13 13 14 14 15 14 12 10 10 10 11 13 16 17 13 6 2 -1 -0 3 6 8 9 9 11 14 16 15 11 8 6 7 7 8 8 9 10 10 10 10 11 11 11 10 8 6 5 5 7 9 9 8 9 11 15 18 18 16 12 9 9 9 10 9 8 8 7 7 8 8 9 10 11 13 16 18 19 18 16 13 9 7 8 9 10 9 6 5 5 6 7 8 9 10 11 11 10 11 12 14 14 15 14 11 8 8 8 9 10 9 9 8 6 4 4 6 9 14 17 18 16 14 12 12 13 14 15 17 17 17 16 14 9 5 1 2 5 7 9 9 9 12 15 17 17 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 13 19 26 32 34 29 22 16 13 12 12 12 12 13 13 14 15 16 16 16 16 15 13 11 10 11 13 16 17 14 8 3 -0 -1 2 6 10 12 13 14 17 19 17 13 9 8 8 7 7 7 7 7 8 8 9 10 12 13 13 11 9 8 8 9 10 10 8 7 7 10 14 17 18 15 12 10 10 9 9 8 7 7 8 9 10 11 11 12 13 14 15 14 12 9 7 7 9 11 12 11 10 7 7 9 10 10 9 8 6 7 8 9 10 10 12 12 12 11 11 11 11 11 11 11 12 13 11 9 6 5 6 8 12 14 15 15 15 14 15 17 18 18 17 15 13 11 9 4 0 -1 2 5 8 9 8 9 12 14 15 15 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 13 19 25 30 32 28 21 16 14 11 10 9 10 11 12 13 15 16 17 17 16 15 14 11 10 10 12 16 18 17 12 7 3 2 3 8 12 13 14 15 17 18 17 15 13 13 12 11 9 7 6 6 5 5 6 8 10 12 14 15 15 14 13 12 11 10 9 8 7 7 11 15 16 16 13 12 11 10 10 9 8 8 9 10 11 12 12 13 12 11 9 7 6 6 7 10 13 13 11 9 8 9 11 13 13 12 9 5 2 1 3 4 6 7 8 9 8 8 10 11 12 11 12 13 16 17 15 12 8 7 7 8 10 12 14 15 17 18 19 21 22 22 19 14 9 5 1 -1 -1 1 4 7 9 9 9 10 13 14 15 14 nan
nan 7 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 13 17 24 29 30 28 20 14 11 10 9 8 8 9 9 11 13 14 15 15 14 13 13 11 10 10 11 15 18 17 14 10 7 6 7 11 13 12 11 10 11 12 12 12 13 14 15 14 12 10 7 5 4 4 5 7 10 13 14 17 18 17 15 12 9 7 8 9 9 9 10 12 13 13 12 11 11 11 11 10 9 9 10 10 11 12 12 11 10 9 8 8 9 10 12 13 13 12 10 8 8 11 14 14 13 11 8 5 2 0 1 3 4 5 6 5 5 5 6 8 9 9 10 13 17 18 16 13 9 7 7 9 11 14 17 20 22 22 21 21 21 21 18 12 5 -1 -4 -3 1 4 8 10 11 10 10 12 13 14 14 14 nan
nan 7 8 8 7 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 8 8 9 9 9 9 9 9 10 10 11 11 12 16 22 28 30 27 20 13 11 11 11 11 10 9 8 9 10 11 12 12 10 10 10 11 11 11 12 15 16 16 13 11 8 8 10 13 13 10 7 5 4 6 7 7 7 9 11 13 13 11 9 6 5 5 7 10 13 15 15 14 14 13 10 7 3 3 4 7 10 11 11 11 12 11 11 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 10 12 14 17 17 14 11 9 9 10 12 14 15 13 10 9 8 6 4 2 4 7 9 8 6 4 3 4 6 7 7 6 6 7 11 14 13 11 7 5 4 7 11 17 22 25 25 23 18 16 15 15 12 8 2 -4 -6 -4 1 5 9 11 11 11 11 12 12 13 13 13 nan
nan 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 12 16 21 27 31 27 21 15 13 14 15 15 13 11 9 9 9 10 10 9 8 8 8 9 11 12 13 15 16 15 13 10 8 9 11 12 11 9 5 3 3 4 5 4 4 4 6 9 10 10 8 7 7 7 10 14 17 16 14 10 8 6 4 3 2 3 4 6 8 9 10 10 10 10 9 8 7 8 9 9 10 10 11 12 12 11 10 9 10 11 12 15 17 19 17 12 9 8 9 12 15 17 17 14 11 9 9 8 6 5 8 11 13 12 8 4 3 6 8 9 8 6 3 2 4 7 9 7 5 3 1 2 8 15 21 24 22 18 12 9 8 8 6 4 -1 -5 -5 -2 3 6 9 10 10 10 10 11 12 13 13 13 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 12 15 20 26 31 30 23 18 15 15 15 15 14 13 11 9 9 10 10 10 9 7 6 7 8 10 12 14 15 15 13 11 9 8 9 11 10 8 6 4 4 6 6 5 4 4 5 6 6 6 6 7 8 11 14 18 19 16 11 7 4 3 2 4 4 5 6 7 7 7 7 8 8 8 7 7 7 8 9 10 10 11 12 12 12 12 11 11 12 13 14 16 17 16 13 10 8 8 9 11 15 18 19 18 15 12 11 10 9 9 11 12 13 10 5 3 5 8 10 11 10 7 3 1 0 2 5 6 6 5 2 1 4 9 14 16 16 13 7 4 3 4 4 3 -0 -2 -0 3 7 10 11 11 10 9 9 10 11 13 14 13 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 14 20 26 31 32 25 18 15 13 13 13 12 10 9 9 10 12 13 13 11 8 6 4 5 6 9 11 13 14 14 12 10 8 8 9 9 9 7 6 7 7 7 6 6 6 7 7 5 4 5 7 9 12 15 18 18 13 8 4 3 5 7 8 8 7 7 7 6 6 6 7 8 8 8 9 9 10 11 11 11 12 12 13 13 13 12 12 12 13 14 14 14 13 12 11 11 9 9 9 11 16 19 21 20 17 15 14 13 12 11 9 7 4 1 3 6 10 13 13 12 10 5 1 1 2 5 9 11 10 7 4 4 6 8 11 12 10 5 2 2 3 4 5 4 4 7 10 13 15 14 12 9 8 8 9 10 12 14 14 nan
nan 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 13 19 26 31 32 25 17 13 11 10 10 9 7 6 8 12 14 17 17 14 9 5 3 2 2 4 7 11 14 15 14 13 10 9 10 10 10 10 9 9 9 8 7 8 9 11 10 8 6 7 8 9 11 13 14 13 10 6 5 7 12 16 15 11 7 5 5 6 6 7 8 9 9 10 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 14 15 15 11 8 7 8 10 13 17 20 19 16 13 10 9 7 5 4 2 1 3 7 10 14 16 15 12 6 1 1 3 7 11 13 13 11 9 8 8 9 10 11 9 6 3 3 4 5 6 7 9 12 15 17 17 15 11 9 7 7 7 9 11 13 14 nan
nan 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 12 13 17 23 29 30 25 17 12 10 9 9 9 8 7 9 13 17 19 20 16 10 6 3 2 1 2 5 10 14 16 16 15 13 12 12 12 12 13 12 12 10 9 9 9 11 14 14 13 10 9 9 9 10 10 10 9 7 7 8 12 17 21 20 14 9 5 4 5 7 11 11 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 8 8 8 8 8 8 11 15 17 16 12 7 5 5 6 8 10 13 14 12 6 3 3 5 6 6 6 4 4 7 10 14 18 17 12 5 0 -0 2 4 7 10 13 14 13 11 10 10 10 11 10 7 6 5 6 6 7 9 11 14 16 17 16 14 11 9 7 6 6 7 9 12 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
20 18 19 18 16 16 19 19 16 14 14 13 12 10 9 9 10 10 11 11 12 14 13 15 16 17 16 15 14 15 15 15 17 18 16 16 17 13 12 14 14 13 13 13 12 14 15 11 8 6 5 4 4 4 5 4 4 4 4 5 7 7 6 6 7 8 9 9 9 9 9 9 8 8 8 8 7 6 6 6 5 4 5 4 4 4 3 2 3 4 4 4 4 5 5 6 6 6 6 4 4 4 4 4 4 4 5 4 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 25 260 165 134 271 607 1005 1076 1159 1293 1156 810 579 575 564 454 378 313 292 301 316 327 343 372 420 458 476 472 491 550 607 594 545 555 570 681 919 1199 1301 1050 788 673 597 545 482 382 264 176 146 104 27 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
12 11 11 12 11 14 17 18 15 13 13 14 14 13 14 13 11 11 11 11 12 14 15 16 18 18 19 20 21 20 17 17 18 16 15 16 16 13 12 14 14 12 12 13 13 12 19 13 9 8 8 7 5 5 4 4 4 3 3 4 6 6 6 7 7 8 9 11 10 9 8 9 9 8 7 6 7 6 6 6 5 5 5 5 4 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 1 13 85 207 284 324 400 455 427 401 411 395 332 311 253 218 221 242 272 306 339 370 405 444 464 499 563 604 595 607 718 767 858 1093 1225 1162 967 813 760 729 683 584 430 275 172 128 71 11 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
12 13 14 15 16 15 17 20 22 19 14 14 17 19 16 14 12 9 8 8 9 10 11 12 14 14 14 14 16 19 19 18 20 17 14 15 15 13 13 13 13 11 10 13 15 15 19 12 9 10 10 8 5 4 4 4 3 3 3 4 6 6 6 7 8 8 9 10 9 9 8 8 7 7 6 6 7 6 6 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 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 6 20 36 65 124 183 236 280 287 266 261 257 246 251 251 280 324 364 391 402 418 440 486 557 578 586 678 868 968 1001 1122 1155 1081 961 866 803 728 623 471 297 165 93 58 25 2 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
23 22 24 20 15 14 14 19 24 22 16 12 14 16 16 16 13 11 11 10 10 9 8 7 9 9 9 9 10 13 15 14 13 12 9 10 11 11 11 11 13 13 13 17 17 17 17 12 9 13 11 7 5 4 4 3 2 2 2 4 5 6 6 7 9 10 10 9 8 8 8 8 8 7 6 6 7 6 6 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 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 1 8 26 63 119 182 212 219 229 259 282 297 275 308 370 418 423 391 364 388 458 524 531 573 731 950 1055 1025 1093 1112 1046 924 786 645 499 357 228 124 65 34 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 0 0 0
17 21 31 26 18 13 13 16 23 25 18 12 10 9 11 14 14 13 13 12 12 11 8 9 9 9 8 8 9 10 10 9 8 8 8 7 10 8 9 11 13 15 16 19 19 19 17 16 17 17 11 7 6 5 4 3 2 2 2 3 4 5 6 7 9 10 9 9 9 8 8 9 7 7 7 6 5 6 5 5 4 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 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 1 6 22 54 109 153 189 221 251 277 294 286 341 422 454 406 319 264 293 384 451 474 558 767 1010 1150 1192 1225 1105 937 752 564 388 243 140 79 48 30 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
15 18 22 18 12 12 13 16 18 21 19 16 13 13 11 11 11 12 13 13 12 11 10 12 9 10 10 9 10 12 11 10 9 9 8 8 9 9 11 13 15 18 21 22 20 16 13 12 12 12 11 9 9 8 5 3 2 2 2 2 4 5 7 8 9 10 9 9 9 9 8 8 7 6 6 6 5 5 5 5 4 3 3 3 3 3 3 4 5 5 4 4 3 3 3 3 4 4 4 4 4 5 4 3 3 3 3 3 3 3 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 1 7 23 57 104 162 203 228 251 283 325 383 454 444 338 225 187 228 277 361 421 521 740 1005 1218 1307 1223 998 738 517 336 195 103 59 40 25 18 11 3 0 1 2 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 17 15 12 7 12 12 15 16 15 14 14 12 12 10 9 9 10 10 10 10 11 11 10 8 10 10 11 13 13 12 10 8 7 7 7 9 11 12 14 16 18 20 18 14 10 7 8 12 17 15 11 11 10 6 3 3 2 3 3 4 6 7 8 9 10 10 9 9 9 9 8 7 6 5 6 5 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 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 14 39 74 135 179 211 247 304 370 415 435 380 250 133 100 139 204 290 354 406 558 797 1057 1187 1101 899 580 338 197 108 61 40 25 13 5 8 2 1 2 2 0 0 1 4 4 2 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
19 16 13 11 9 11 14 16 15 12 10 9 8 7 10 10 9 9 9 8 8 10 11 10 9 9 9 10 10 11 12 11 10 8 7 8 11 11 10 11 15 17 17 15 12 9 6 5 8 14 13 12 11 10 7 3 3 3 4 4 5 7 8 9 10 9 9 9 9 8 8 8 7 6 6 6 5 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 3 18 43 73 124 172 218 272 332 377 387 357 288 169 66 37 53 99 165 211 232 361 598 880 1035 958 696 409 223 137 89 67 50 31 17 2 6 3 3 2 1 0 0 2 5 7 5 4 5 8 12 9 3 1 0 0 0 0 0 0 0 0 0 0 0
20 16 12 10 10 13 18 17 15 12 12 11 9 9 10 11 9 8 7 5 6 7 10 11 10 9 8 8 8 9 11 14 15 13 11 10 13 10 9 10 13 15 17 17 15 12 9 8 10 16 14 13 10 7 5 3 3 4 5 6 7 9 9 10 11 10 9 9 8 8 9 7 6 6 5 5 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 3 21 48 80 119 160 218 277 313 318 300 258 190 100 27 11 14 34 78 150 267 468 707 888 901 743 511 323 204 139 109 93 75 43 11 2 5 7 6 4 4 7 9 10 13 19 23 30 34 40 44 37 29 15 5 1 0 0 0 0 0 0 0 0 0
24 22 15 13 14 15 17 16 16 15 14 14 11 9 11 13 11 10 7 6 5 6 7 9 8 7 6 6 6 7 9 10 9 9 9 9 10 9 8 9 11 13 16 18 17 15 12 12 15 17 13 10 8 6 4 4 4 6 7 8 9 10 10 10 10 10 9 8 8 8 8 7 6 6 5 5 4 5 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 1 0 3 16 42 68 91 116 152 183 197 199 190 161 109 46 8 3 13 41 133 307 530 729 853 875 792 621 436 303 229 172 126 90 58 25 4 4 8 11 11 11 16 24 29 31 35 49 64 93 113 112 103 95 82 48 28 17 8 2 0 0 0 0 0 0 0
19 20 18 14 12 13 16 14 12 13 15 16 16 10 8 10 11 11 8 7 6 6 7 7 6 5 6 7 8 9 10 10 8 7 8 8 8 8 6 6 7 9 12 15 14 13 12 14 16 15 10 8 7 6 5 5 5 7 9 9 9 10 11 11 11 10 9 8 8 8 7 6 6 6 5 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 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 2 9 24 37 27 39 51 59 67 74 75 80 95 101 87 52 15 2 8 51 164 337 534 695 768 777 730 623 486 363 281 231 176 101 49 21 12 17 23 25 22 21 25 36 46 50 55 70 98 132 179 212 212 210 196 151 91 82 95 78 43 16 5 4 9 12 4 1
16 16 15 12 10 10 13 13 14 13 14 14 13 9 8 8 7 7 8 7 7 6 7 7 7 6 5 7 9 10 11 12 12 11 11 10 9 8 7 6 5 6 8 10 11 11 12 15 14 12 10 9 9 8 7 7 7 8 10 10 10 12 11 11 10 10 9 8 8 8 7 6 6 6 5 4 4 3 3 3 3 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 20 58 98 70 59 64 69 67 55 40 31 42 51 41 20 4 5 28 116 413 532 601 653 660 619 556 466 367 287 229 183 130 60 21 19 33 47 54 51 44 43 49 61 70 85 115 156 197 232 254 273 307 315 288 221 142 131 194 218 178 120 80 73 102 128 44 10
18 17 14 11 8 8 10 11 13 12 11 12 13 12 11 10 8 9 8 8 8 7 6 7 8 8 7 6 5 8 11 13 15 16 16 16 14 12 10 8 6 4 3 4 6 8 11 13 18 15 12 11 10 9 9 9 10 11 11 11 12 12 11 11 11 10 9 8 8 7 6 6 6 6 5 4 4 3 3 3 3 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 8 15 8 0 0 0 0 0 0 0 0 0 0 0 0 0 4 24 77 134 120 112 123 126 107 71 35 16 18 20 13 5 1 4 28 130 489 663 710 669 594 511 429 341 250 179 132 105 74 40 38 60 79 89 85 76 68 65 68 77 115 190 277 333 350 336 293 308 340 337 308 243 167 144 202 261 265 276 300 330 381 432 201 79
21 20 16 12 10 11 12 12 11 12 12 16 22 26 21 16 11 12 11 10 9 8 7 6 7 8 9 9 8 10 12 15 17 19 23 26 24 22 19 16 12 8 5 2 3 5 7 11 14 14 11 10 11 12 13 12 12 13 13 13 13 13 11 10 10 9 8 8 8 8 7 6 6 5 4 4 4 3 3 3 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 9 21 9 0 0 0 0 0 0 0 0 0 0 0 0 0 5 34 100 152 158 175 189 183 147 96 49 19 8 4 1 0 0 2 14 73 249 631 789 723 584 458 359 263 169 108 78 67 59 68 102 134 144 131 112 96 85 80 83 105 194 368 492 527 502 440 356 323 376 353 300 237 181 158 178 206 234 321 419 515 601 602 389 174
17 17 17 15 14 18 18 18 18 15 13 14 17 20 21 18 14 12 13 11 10 9 9 8 7 7 8 9 11 13 13 14 19 22 26 30 32 31 30 27 22 17 11 7 5 5 4 4 6 8 8 10 12 15 16 16 15 14 14 14 14 13 12 11 10 9 8 8 8 8 7 6 6 4 4 3 3 3 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 30 95 143 171 201 216 211 181 137 89 46 16 0 0 0 1 5 25 89 254 585 820 734 577 443 332 227 137 89 67 77 101 149 197 213 195 153 130 122 121 123 128 163 279 505 645 634 556 460 367 315 354 327 296 261 227 205 191 159 163 260 363 463 546 505 304 131
11 14 15 15 16 19 19 19 15 13 12 11 12 15 17 17 14 12 14 12 10 9 10 10 9 8 8 10 12 14 15 15 16 21 25 28 31 32 33 32 30 27 23 18 13 9 5 3 3 4 5 9 13 18 19 19 17 16 15 15 15 13 12 12 10 9 8 8 8 7 6 6 6 4 4 3 3 3 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 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 3 17 67 90 141 199 230 237 228 203 151 84 27 0 0 1 5 13 70 218 440 675 710 597 487 385 280 190 132 110 103 150 213 259 270 247 207 180 189 207 218 224 229 262 354 509 681 655 513 389 336 330 316 309 332 342 329 324 317 261 169 138 130 159 195 180 96 36
11 18 20 20 18 17 16 14 13 11 11 13 18 21 18 14 13 13 15 15 13 10 10 11 11 11 11 11 12 14 17 17 17 21 24 25 26 25 24 24 26 32 33 33 28 22 15 11 7 6 6 9 15 20 22 21 19 17 16 15 15 13 13 12 10 9 8 8 7 6 6 6 5 4 4 3 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 9 38 40 126 201 235 247 251 242 186 103 34 3 0 1 6 29 168 476 674 628 443 311 286 258 197 160 165 199 244 308 352 337 289 253 249 273 313 344 358 357 355 389 442 480 624 625 479 368 340 364 386 392 428 466 487 513 484 335 91 10 2 0 7 15 11 4
17 21 20 20 18 17 17 17 18 13 15 16 20 21 18 14 13 14 17 18 16 15 13 13 13 14 14 14 14 14 18 20 23 25 26 23 19 16 17 18 21 28 29 32 32 31 29 24 22 16 11 15 20 22 22 21 19 17 16 15 15 13 12 11 10 9 8 8 7 6 6 5 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 26 115 157 171 182 198 209 180 103 37 7 0 0 7 49 258 611 692 531 329 210 196 213 211 223 264 336 412 433 407 334 287 300 354 415 458 479 482 479 501 483 472 502 583 630 527 427 371 356 376 429 512 590 630 668 518 242 20 1 0 0 0 0 0 0
23 23 21 19 17 18 19 18 15 14 16 18 22 22 20 18 17 18 19 19 17 17 18 17 15 14 13 13 14 15 18 20 23 26 27 23 20 20 20 20 20 21 21 22 24 29 33 35 35 30 22 24 28 26 22 20 18 17 16 15 14 13 12 11 10 9 8 7 7 6 5 4 4 4 4 4 4 4 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 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 1 5 16 55 71 77 91 118 147 151 110 67 31 13 6 15 67 209 529 678 604 424 300 282 323 358 375 401 442 470 450 384 310 311 384 486 575 635 673 703 686 656 586 547 565 611 660 571 459 381 334 334 401 526 645 683 700 430 144 17 0 0 0 0 0 0 0
22 22 22 21 20 20 22 23 19 18 19 21 23 22 21 20 19 20 19 19 17 16 15 14 14 15 14 13 14 16 17 16 18 22 23 23 23 24 23 20 19 20 18 15 16 19 24 30 34 34 32 33 36 31 24 19 17 16 16 16 14 14 13 11 10 8 8 7 6 6 5 4 4 4 4 4 4 4 3 2 2 2 2 1 0 1 1 1 1 1 1 1 2 2 2 2 2 2 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 1 4 13 22 31 51 84 115 129 116 89 63 35 17 17 49 136 333 515 550 500 465 470 498 544 534 507 491 473 438 389 354 385 494 621 727 789 793 751 756 697 642 646 679 700 679 548 462 424 366 309 318 421 554 596 547 295 96 16 0 0 0 0 0 0 0
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