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 6 7 8 9 8 7 6 6 7 8 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 7 7 7 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 10 13 17 20 22 19 12 8 7 6 5 4 3 2 2 4 6 8 8 8 8 8 8 9 9 10 11 11 10 8 7 6 6 7 9 9 9 8 7 7 7 8 9 10 10 9 8 7 7 7 6 6 6 7 8 9 10 9 8 7 8 8 8 8 9 9 8 6 5 4 3 3 6 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 8 9 10 10 8 7 nan
nan 6 7 8 8 8 7 7 7 7 8 8 7 7 6 7 7 7 7 8 8 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 7 7 7 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 11 16 21 23 21 16 11 7 7 6 4 2 0 0 2 5 7 8 7 7 8 9 9 9 10 10 10 9 8 7 6 6 7 8 9 9 8 7 6 6 6 7 8 8 8 8 7 7 6 6 7 7 8 8 7 6 7 8 8 7 6 7 7 8 9 10 8 5 3 3 4 6 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 7 9 11 11 9 8 7 nan
nan 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 8 8 9 9 10 9 9 8 8 8 8 8 7 8 8 8 8 8 8 9 12 17 22 23 20 15 11 8 7 5 1 -2 -2 -1 3 5 7 7 7 8 9 9 9 9 9 9 8 7 6 5 5 6 7 8 9 9 8 7 5 5 5 6 7 7 8 7 7 6 6 6 8 9 10 10 7 4 3 6 6 6 6 5 6 7 9 10 9 6 4 4 7 9 10 9 8 8 8 8 8 9 10 11 11 11 10 10 9 8 7 7 9 10 10 8 7 7 nan
nan 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 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 8 8 8 7 7 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 10 12 15 18 19 16 14 11 9 7 4 -0 -4 -3 -0 3 6 7 7 8 9 9 9 9 9 9 8 7 6 5 5 5 6 7 8 9 9 8 7 6 5 5 5 6 7 7 8 8 7 7 8 9 11 11 11 8 4 1 3 5 6 5 4 4 5 8 10 11 9 8 8 10 12 12 11 8 7 6 6 6 8 9 10 10 10 9 8 7 6 6 6 7 8 8 7 7 7 nan
nan 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 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 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 8 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 10 11 13 14 14 14 12 10 9 8 6 3 -0 -3 -2 1 4 7 8 8 9 9 10 10 10 9 8 7 7 6 6 6 6 6 7 8 9 10 9 7 6 5 4 4 4 5 7 9 9 10 9 10 10 10 10 10 8 6 5 5 6 5 3 2 2 4 7 11 12 13 12 12 13 14 14 12 9 6 5 5 6 8 9 10 10 8 7 6 6 5 6 6 7 7 7 6 6 7 nan
nan 6 6 6 6 6 6 6 7 8 8 8 8 8 7 7 6 6 6 7 7 7 7 8 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 8 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 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 13 14 14 13 11 8 5 5 5 3 2 1 0 1 3 5 7 8 8 9 10 11 11 11 10 9 8 8 8 8 8 8 9 9 10 11 11 10 8 6 5 3 3 3 4 6 9 11 12 11 11 10 8 8 9 9 9 9 8 6 3 0 -0 1 4 7 9 11 13 16 17 15 14 13 12 10 8 6 6 7 8 9 9 9 9 7 6 5 6 7 8 9 9 8 7 6 7 nan
nan 6 7 7 7 7 7 6 7 8 8 7 7 7 7 6 6 6 7 7 7 7 7 7 7 8 8 9 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 8 8 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 11 13 15 15 13 10 5 1 0 1 2 3 3 3 4 5 6 7 7 8 10 11 12 12 11 10 9 9 9 9 10 10 10 11 11 12 12 12 11 10 7 5 3 2 2 3 5 8 11 13 13 11 9 6 6 8 10 10 10 9 5 1 -1 -1 1 3 6 8 9 13 18 18 14 10 9 10 10 9 7 6 6 6 6 7 10 11 8 5 5 6 8 10 11 10 9 7 6 7 nan
nan 7 6 7 7 7 7 7 7 7 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 8 8 9 10 11 13 14 15 14 11 6 -0 -3 -1 2 4 6 6 6 6 7 7 8 9 11 12 12 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 10 7 5 3 3 3 5 9 12 14 13 11 9 7 7 9 10 11 10 8 5 2 0 2 3 5 7 8 9 12 16 15 11 7 5 6 8 10 8 6 4 3 3 6 10 11 7 3 3 6 8 10 11 11 9 7 6 7 nan
nan 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 7 7 7 7 7 7 8 7 7 7 9 10 10 9 8 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 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 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 11 12 14 15 15 12 7 1 -2 -2 1 4 6 7 8 8 8 9 10 11 11 10 8 7 8 10 11 11 10 10 9 10 10 10 10 10 10 10 10 11 12 11 9 7 6 6 8 11 14 15 14 11 9 9 9 9 10 11 10 9 7 4 3 5 8 10 10 8 7 7 10 12 11 7 4 4 7 9 9 7 5 4 5 7 10 9 5 0 1 4 7 9 10 10 9 8 7 8 nan
nan 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 8 8 8 8 8 8 8 7 8 9 10 10 9 8 7 8 8 9 8 8 8 8 7 7 7 7 7 7 6 6 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 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 10 10 10 9 9 9 9 10 11 12 13 14 14 14 12 8 3 0 1 3 6 7 8 9 10 12 13 13 12 10 6 4 5 7 10 11 11 9 9 8 8 9 9 9 9 8 8 8 9 11 13 13 11 9 9 11 13 14 14 13 11 9 9 9 8 8 8 9 9 8 7 7 9 12 14 11 6 2 1 5 10 13 11 7 5 6 7 7 7 7 9 9 9 8 6 1 -2 -1 3 6 7 8 8 8 8 8 10 nan
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nan 6 6 6 7 7 8 8 8 8 8 8 7 7 8 8 8 7 7 7 8 9 9 9 9 8 8 9 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 8 8 9 10 11 13 14 15 15 15 14 13 13 12 12 12 12 13 13 13 12 12 10 10 10 10 8 6 7 11 13 11 6 1 -1 0 4 8 13 15 13 7 1 -2 -0 2 5 8 10 11 11 10 9 9 9 8 8 8 9 10 11 10 9 8 8 8 9 9 9 9 9 10 12 14 13 11 10 11 12 11 10 10 10 8 7 7 8 9 9 9 8 7 6 6 6 7 7 7 6 5 3 2 3 9 15 15 13 11 9 8 6 5 6 8 9 9 8 7 7 7 8 9 11 11 11 nan
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nan 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 12 15 16 17 16 16 15 15 15 14 13 13 14 15 16 14 13 13 13 13 13 11 9 7 6 5 4 2 2 2 2 -1 -1 3 7 8 6 3 0 -1 1 3 5 5 6 7 8 10 11 11 11 11 12 12 13 14 14 12 10 9 8 7 7 8 10 11 12 12 11 9 4 1 2 5 7 8 11 12 10 9 8 8 8 6 5 5 5 7 9 9 9 9 8 5 4 4 6 9 9 5 2 1 1 3 4 5 6 7 8 9 10 10 8 4 2 2 3 2 2 4 8 9 8 6 nan
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nan 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 8 8 9 10 9 9 9 10 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 10 13 18 22 26 28 28 26 23 19 15 13 12 11 9 8 8 11 14 15 16 16 15 13 12 10 7 4 4 7 13 18 18 12 3 -2 -3 -2 1 3 4 4 6 7 9 9 10 12 13 12 11 9 8 7 7 9 11 13 14 14 11 9 8 7 7 8 10 11 11 10 10 10 8 4 -2 -2 2 6 9 12 14 13 10 8 7 7 6 6 5 5 5 6 7 6 5 4 5 5 7 10 13 15 12 10 8 7 7 7 7 7 5 4 4 5 8 10 11 9 6 4 3 2 3 3 4 4 3 nan
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nan 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 16 22 27 30 30 27 21 15 14 14 13 12 11 11 8 5 3 5 9 13 16 16 15 13 10 7 4 3 4 8 11 12 11 6 1 -2 -2 -1 2 5 7 9 12 14 15 15 14 13 12 9 6 5 5 6 7 10 12 13 13 10 8 7 8 10 11 11 10 10 9 9 9 8 5 1 0 3 6 9 10 12 13 11 9 7 6 6 5 4 4 4 4 5 6 7 7 8 10 14 16 17 17 16 14 13 12 12 12 11 10 8 6 5 5 5 7 8 9 9 8 7 7 8 7 6 4 3 3 nan
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nan 7 7 7 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 13 14 18 23 27 29 25 16 9 6 6 8 10 13 15 16 16 14 13 13 13 13 14 14 14 12 9 8 8 10 15 19 18 14 11 8 7 7 6 7 8 9 10 9 7 6 7 8 10 10 10 8 8 7 6 5 3 2 1 2 4 6 8 10 12 14 16 18 20 21 18 15 11 7 6 7 8 9 9 9 9 9 8 8 8 9 10 11 11 12 15 17 17 14 11 7 5 4 4 5 6 8 10 11 11 10 9 10 11 12 12 11 10 12 15 16 16 14 12 11 11 11 11 11 12 12 11 9 8 7 8 7 6 4 3 2 2 3 5 7 8 9 11 13 14 15 15 13 11 9 7 6 8 11 12 9 5 2 1 3 5 6 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 12 12 14 17 22 27 27 25 16 8 5 5 7 10 13 15 17 16 14 13 12 12 13 13 14 13 11 9 8 9 12 14 13 10 7 5 5 5 5 6 6 6 7 8 9 8 8 9 10 12 12 12 11 10 9 8 7 5 3 2 2 4 6 7 9 10 12 14 16 18 19 19 18 15 10 7 7 8 9 9 10 10 9 9 9 9 9 10 11 10 11 15 17 15 11 9 8 8 8 6 5 6 8 9 9 8 7 7 8 10 11 12 10 9 10 13 14 14 13 12 12 12 11 10 10 10 8 6 5 3 4 6 7 7 6 5 4 3 2 3 6 7 9 11 13 14 15 14 13 10 8 6 6 9 11 9 6 3 1 2 4 6 7 nan
nan 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 9 10 10 11 11 12 14 17 22 26 27 23 17 8 4 5 8 11 13 15 17 17 15 14 13 13 12 12 11 9 7 6 7 9 14 14 10 5 2 2 4 5 7 7 7 8 8 10 11 11 10 9 9 11 11 11 11 11 10 9 9 8 7 6 6 6 6 7 7 8 9 11 13 14 15 18 19 17 14 10 8 8 9 9 9 10 9 9 9 8 8 9 9 9 10 13 16 14 11 10 10 11 10 7 5 4 5 6 6 5 5 5 7 9 11 12 11 9 9 10 11 12 12 12 11 10 9 9 9 9 8 7 6 6 7 8 9 9 10 10 9 7 5 4 6 7 9 11 12 13 13 12 11 10 8 7 9 11 10 7 4 2 2 3 5 6 6 nan
nan 7 7 7 7 7 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 12 14 18 22 26 28 25 18 9 4 5 8 11 13 15 17 17 17 15 14 13 12 11 10 7 5 4 5 9 14 16 12 6 3 3 5 8 11 12 12 12 13 14 15 13 9 7 7 8 8 8 8 8 9 9 9 10 10 10 10 9 8 7 7 7 7 8 8 9 10 13 16 18 16 13 11 10 9 9 9 10 10 9 9 8 8 8 9 9 10 13 16 17 15 13 11 10 8 7 6 5 5 4 4 4 5 6 7 9 11 12 13 12 11 10 11 11 11 10 9 8 8 8 9 9 9 9 9 10 11 11 10 11 11 13 14 13 10 7 7 8 9 10 10 11 11 10 9 9 8 9 11 11 9 6 4 3 3 4 5 5 6 nan
nan 7 7 7 6 6 6 6 6 6 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 8 8 9 9 10 11 11 12 14 17 23 27 30 28 19 11 5 5 8 10 13 16 18 19 19 16 14 12 11 11 10 8 5 4 5 8 13 17 16 10 5 5 6 11 14 16 16 16 16 18 17 15 10 8 8 9 9 8 8 7 7 8 9 9 11 11 11 11 10 10 10 10 10 9 7 5 6 8 11 15 16 15 14 12 11 10 9 10 10 9 9 8 8 9 10 11 12 13 15 16 16 13 9 7 7 8 9 7 6 5 5 7 8 9 8 9 10 11 12 13 12 11 11 12 12 10 9 9 10 11 11 11 10 10 11 11 11 10 9 9 10 11 13 13 12 10 8 8 9 9 10 11 10 9 7 6 7 9 11 10 8 5 4 4 5 5 5 5 6 nan
nan 6 6 6 6 6 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 8 9 9 10 10 11 12 14 17 22 28 31 29 21 11 6 5 7 10 13 15 19 20 19 16 13 11 10 10 10 9 7 5 4 7 12 18 18 15 10 7 8 11 14 14 13 13 14 16 17 15 12 11 12 13 13 11 9 8 7 6 7 8 9 10 10 12 14 15 15 15 15 13 10 7 6 7 8 11 14 15 14 12 11 11 10 10 10 9 9 9 9 10 11 12 12 13 13 12 11 9 8 8 10 11 11 8 6 5 7 11 12 11 9 8 7 7 8 10 10 10 11 11 12 10 9 10 12 14 14 13 13 14 14 11 9 8 8 8 8 8 9 10 11 11 10 10 10 12 13 13 11 8 5 3 6 10 10 9 7 6 6 6 7 7 7 7 7 nan
nan 6 6 6 6 6 6 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 9 9 9 10 10 11 13 14 17 21 27 30 29 21 11 5 5 6 8 11 13 16 18 18 16 13 10 9 10 10 9 8 6 5 6 11 17 19 18 15 11 10 10 11 10 8 8 8 10 12 11 10 10 12 13 14 13 12 10 8 6 6 7 7 9 10 13 16 17 18 17 16 15 13 10 9 9 10 10 12 12 12 11 11 11 12 11 10 10 9 10 10 10 11 12 12 11 10 9 9 9 11 13 13 12 11 9 7 6 8 12 13 11 9 6 4 3 4 6 8 9 9 10 10 9 8 9 11 12 12 12 12 14 14 13 12 12 12 11 8 6 6 9 12 13 13 12 13 15 16 15 13 9 5 4 6 8 9 8 7 7 8 9 9 8 8 8 8 nan
nan 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 10 10 11 13 14 16 20 25 29 27 21 10 4 4 5 7 10 12 14 16 17 16 14 12 10 10 9 8 7 6 5 6 10 15 18 18 16 13 11 10 9 8 7 6 6 6 7 7 7 6 7 9 12 13 13 11 9 7 7 7 9 10 12 14 14 14 14 12 11 11 10 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 9 10 11 13 16 17 14 11 10 10 10 10 12 13 13 11 9 6 4 2 2 4 7 8 8 8 7 7 7 8 8 9 8 6 5 7 11 13 14 15 15 12 7 6 7 11 14 16 15 13 14 15 15 13 11 8 7 6 6 7 7 7 8 8 9 9 9 9 8 8 8 nan
nan 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 10 11 13 14 16 20 24 27 27 20 11 5 4 6 9 11 14 16 17 18 18 17 15 13 11 8 7 5 4 4 6 8 12 15 17 16 14 12 10 9 8 8 8 8 7 8 7 6 6 5 6 8 9 9 8 8 8 9 10 12 14 14 13 11 9 7 5 5 6 6 7 7 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 11 13 15 17 16 12 10 9 10 12 15 17 17 15 12 9 7 5 3 3 5 8 9 8 6 5 6 8 8 7 7 5 3 0 1 5 9 10 11 10 7 5 5 7 11 14 15 14 12 12 12 11 9 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 nan
nan 6 6 7 6 7 7 7 8 8 7 6 6 6 7 6 6 7 7 7 7 7 6 6 5 5 5 5 6 7 7 8 8 7 7 8 8 8 9 9 10 11 13 14 16 19 23 27 28 22 14 8 6 7 9 12 14 16 18 19 19 19 19 17 13 9 7 5 4 4 4 5 9 14 17 17 15 13 10 8 6 6 6 8 9 10 9 8 7 7 7 6 5 5 5 7 10 12 14 16 16 14 11 7 4 3 2 3 5 6 7 8 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 12 12 11 11 11 11 12 13 14 15 14 12 10 8 8 9 11 15 19 20 19 14 10 9 8 7 7 8 9 9 6 4 4 7 9 9 9 8 7 4 2 1 2 5 8 8 7 5 3 3 4 6 8 11 11 10 7 6 5 5 6 8 9 9 9 9 10 10 10 8 8 8 8 9 9 10 11 nan
nan 7 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 6 6 7 7 7 6 6 5 5 5 4 5 6 7 8 8 8 8 8 8 8 9 9 10 11 12 14 15 19 24 27 28 24 16 9 6 6 8 10 12 14 16 18 19 21 21 20 17 13 10 8 6 5 5 5 8 12 16 17 15 12 8 5 3 3 3 5 7 9 9 8 8 9 9 8 6 5 7 9 11 13 14 15 15 12 9 6 4 6 7 9 9 9 8 8 8 9 8 8 8 8 8 9 10 11 11 11 11 12 12 12 12 12 11 12 12 13 13 13 13 12 11 11 10 9 7 7 11 16 19 20 18 14 12 12 12 12 10 7 5 3 2 4 7 10 11 12 12 10 7 4 4 5 7 10 11 11 8 5 3 2 3 6 9 9 7 3 1 1 2 5 9 11 12 12 12 12 11 10 8 7 7 7 8 9 10 12 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 6 6 5 5 5 5 5 6 7 8 8 8 8 8 8 8 9 9 10 11 12 13 16 19 24 28 29 26 17 9 6 4 5 7 8 10 12 15 18 21 22 22 21 18 15 13 11 9 7 6 8 12 15 17 15 10 6 4 3 4 4 5 7 9 9 9 9 10 10 10 9 9 10 10 10 11 11 12 12 12 10 10 11 15 18 17 14 11 7 6 6 8 9 9 10 10 11 11 11 11 12 12 12 12 12 12 11 11 10 10 11 11 11 11 10 11 13 15 14 10 6 4 6 11 15 17 18 16 13 11 10 10 8 6 4 1 1 3 7 10 13 15 15 12 7 4 4 5 8 10 12 13 12 10 7 6 6 7 10 10 7 4 1 -0 1 3 7 10 12 13 13 12 11 10 9 7 7 6 7 7 9 10 nan
nan 8 7 7 8 8 8 7 7 7 8 8 7 7 6 6 6 6 6 6 7 7 6 6 6 6 5 5 5 5 6 7 8 8 8 8 8 8 9 9 10 11 11 13 15 19 24 29 31 27 18 9 5 3 3 5 7 10 11 14 16 18 19 19 19 19 17 15 14 11 9 9 11 14 17 18 17 13 10 9 10 10 11 11 12 11 11 10 9 9 10 11 12 12 11 9 8 7 8 9 10 11 13 15 17 19 20 18 15 10 6 4 5 7 10 11 10 10 10 9 9 10 10 11 11 12 12 11 10 9 9 8 9 9 9 8 8 10 14 16 16 11 6 3 4 7 10 12 14 14 11 6 3 4 7 9 8 5 2 2 5 8 12 16 16 12 6 2 2 3 5 6 8 11 13 13 11 10 9 10 12 12 11 8 6 3 2 3 5 8 10 12 13 12 11 10 9 8 7 6 6 7 8 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
39 36 38 40 40 38 37 37 36 35 33 36 36 33 31 34 34 28 24 23 22 23 25 25 28 27 25 23 23 24 22 21 23 23 20 20 21 20 18 17 17 16 15 15 12 11 11 10 10 11 12 25 42 41 37 41 47 53 46 25 13 9 8 8 7 7 9 11 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 1 69 172 294 409 469 458 346 216 112 41 8 1 0 0 5 58 36 15 12 38 83 115 142 158 162 157 149 145 148 159 180 200 248 322 422 511 547 508 386 258 182 157 161 175 198 243 302 321 365 425 446 412 370 363 387 480 568 620 693 750 757 801 1007 1164 1044 778 600 509 463 461 488 463 390 323 274 227 179 132 91 54 37 48 57 59 62 75 94 106 153 106
31 30 33 34 32 32 32 31 29 27 30 38 39 34 32 34 33 27 24 23 23 24 28 31 32 31 27 25 24 24 23 22 22 22 22 21 21 21 19 17 17 16 16 15 13 12 11 11 12 12 12 14 18 24 37 35 35 35 30 23 13 9 7 6 6 6 7 9 6 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 1 1 1 85 173 284 407 491 479 350 180 69 16 1 0 0 0 0 0 1 0 14 46 95 151 205 227 211 186 167 162 169 182 196 207 233 258 292 322 319 274 206 160 149 152 157 162 173 209 275 314 314 325 328 329 337 363 413 485 519 527 612 715 735 703 758 860 801 586 490 490 523 545 532 465 341 272 235 194 147 105 71 38 15 23 23 20 26 53 75 65 73 48
23 23 26 28 29 30 29 27 24 23 27 39 40 32 30 30 29 26 24 24 26 28 31 34 33 32 29 26 25 24 23 22 22 21 21 21 21 20 20 18 17 16 15 15 14 12 11 11 11 12 11 12 16 21 26 21 21 23 22 18 11 9 7 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 2 1 1 12 87 159 260 392 496 468 305 120 17 3 0 0 0 0 0 0 0 0 16 52 118 200 268 283 245 201 174 166 175 193 212 220 228 246 251 244 221 186 160 160 169 169 165 157 154 170 218 287 307 250 207 256 301 315 328 347 363 392 508 668 752 725 661 610 557 407 415 502 558 528 427 310 215 188 191 177 139 93 54 24 4 8 7 3 7 36 53 36 29 29
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22 28 29 27 25 23 19 18 21 21 25 31 32 29 29 33 32 29 27 26 26 28 30 29 31 31 30 28 26 26 25 24 23 22 22 21 21 19 19 18 17 16 16 14 14 12 11 12 12 11 11 10 10 9 9 8 7 8 7 7 8 7 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 1 2 7 14 35 102 231 358 376 256 101 11 0 0 0 0 0 0 0 0 0 1 8 55 157 258 313 305 257 211 192 192 199 218 242 258 262 263 267 266 248 212 184 179 189 197 217 227 208 199 226 272 304 326 203 165 145 131 128 136 155 186 249 387 557 683 701 607 483 435 534 502 341 213 148 120 106 110 132 161 176 151 91 31 2 0 0 0 0 18 19 8 1 4
23 24 26 26 23 20 19 18 18 19 23 30 31 31 34 35 32 28 25 24 24 26 28 28 32 30 31 31 31 29 27 23 23 22 21 22 22 20 20 18 17 16 16 15 14 12 12 12 12 11 10 9 9 8 8 8 7 7 7 7 8 7 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 1 0 0 6 41 121 192 168 83 21 0 0 0 0 0 0 0 0 0 0 0 10 57 147 226 274 281 254 215 193 188 196 214 235 255 271 283 292 290 274 239 196 167 164 173 183 205 192 155 149 168 183 180 165 145 121 114 121 130 137 150 192 297 418 519 622 568 441 410 449 347 242 186 172 168 150 128 130 162 209 231 164 72 15 2 0 0 0 4 6 3 0 1
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9 10 13 17 18 16 14 14 15 15 19 26 30 33 29 25 26 34 36 31 32 35 38 38 40 37 24 19 18 18 25 24 25 25 24 22 20 17 14 16 15 14 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 8 7 7 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 11 46 73 18 3 0 0 0 0 0 0 0 0 14 46 86 125 158 187 200 201 221 237 223 176 110 48 14 3 2 9 27 58 98 145 173 139 73 31 37 95 140 173 196 202 184 157 149 119 99 125 188 245 267 271 287 297 294 288 251 160 60 32 85 144 169 180 187 189 192 217 289 359 403 411 374 291 172 47 7 0 0 0 0 0 0
8 8 11 14 16 15 12 12 13 17 22 26 27 27 29 29 31 35 38 30 28 30 30 32 36 39 28 23 17 20 25 24 24 24 23 22 20 17 15 18 16 14 12 12 13 12 11 11 10 10 10 9 8 9 9 9 8 7 6 7 7 6 6 6 5 5 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 30 66 96 119 153 186 213 221 214 194 164 118 58 18 3 0 1 6 18 44 101 183 141 67 29 47 101 132 140 138 132 130 136 150 193 207 225 233 229 222 231 267 314 304 278 264 218 128 53 55 95 127 146 148 147 161 194 253 316 367 423 477 462 314 83 8 0 0 0 0 0 0
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18 16 17 16 16 15 15 15 16 18 18 20 22 25 27 27 27 32 37 37 34 33 35 36 37 36 33 30 32 31 28 26 25 24 23 21 19 18 18 18 16 17 17 15 14 12 11 10 11 11 11 10 9 9 9 8 8 8 7 7 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 2 1 0 0 0 0 0 0 1 2 1 1 0 1 6 11 8 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 2 8 27 18 13 14 20 27 33 48 71 95 115 128 132 113 84 43 14 8 20 30 23 9 6 12 26 41 52 62 67 76 79 99 138 185 236 285 318 322 303 283 269 249 216 224 243 259 274 287 295 298 297 297 295 296 288 269 247 249 245 217 149 73 19 0 0 6 28 56
17 16 15 15 14 14 13 12 11 13 16 18 22 24 25 26 28 31 33 34 34 34 34 36 36 32 29 29 30 30 27 25 24 23 22 20 19 18 18 17 16 16 16 14 13 12 11 11 10 11 11 10 9 9 8 8 8 8 7 6 6 6 6 5 5 6 5 4 4 4 4 4 4 4 4 3 3 3 3 2 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 3 0 0 0 1 3 6 14 30 49 70 83 84 72 53 37 16 6 18 48 74 75 65 96 139 167 174 159 122 94 81 92 115 146 185 231 268 287 314 325 301 252 216 227 249 258 261 263 265 265 264 272 281 291 306 304 278 251 221 178 110 46 10 0 2 12 59 84
15 14 15 14 13 13 12 11 10 11 14 17 23 24 25 26 27 29 31 32 31 32 33 35 34 32 28 27 29 29 27 24 25 23 20 20 19 19 18 17 16 16 15 13 13 12 12 11 11 11 11 10 9 8 8 8 8 9 7 6 6 6 6 5 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 2 0 0 0 0 2 8 14 13 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 14 10 3 0 0 0 0 0 0 0 0 0 0 0 3 4 3 2 5 8 12 13 11 11 13 19 13 6 5 29 82 154 221 279 323 330 312 272 211 153 113 112 121 131 140 155 186 248 302 302 255 211 201 212 221 218 215 217 225 233 241 256 260 257 276 282 263 230 192 154 98 41 9 0 2 13 62 95
12 12 15 13 12 11 12 12 13 14 16 20 23 23 24 26 27 27 29 29 29 32 33 30 30 32 30 28 30 29 26 23 25 22 19 19 20 19 18 17 16 16 14 14 13 12 12 11 11 11 10 10 9 8 8 8 8 8 7 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 3 3 3 3 3 1 0 0 1 8 29 68 81 58 26 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 0 3 34 35 20 6 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 2 4 4 2 1 9 41 102 177 235 267 295 310 293 252 208 173 165 149 121 102 93 107 164 202 188 154 142 155 173 182 178 180 194 212 225 236 250 242 230 250 259 250 228 201 170 114 47 11 0 1 14 64 96
10 11 13 11 10 11 12 14 16 18 20 22 23 23 24 25 26 27 27 27 27 28 26 26 27 29 30 30 30 28 26 25 25 21 19 18 19 18 18 17 16 16 14 14 13 12 11 11 11 11 10 9 8 8 8 8 8 8 7 6 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 2 1 0 0 4 21 58 109 134 83 31 6 0 0 0 0 0 0 0 0 0 0 0 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 27 28 15 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 2 18 53 91 123 140 159 182 201 204 196 187 171 136 107 92 77 66 69 82 74 57 55 87 138 170 180 194 213 231 240 247 250 228 233 256 249 240 238 232 201 132 48 10 0 0 19 77 110
9 11 11 10 9 10 11 13 16 18 20 20 21 22 21 22 24 25 24 25 25 24 22 24 28 30 31 31 30 28 26 25 24 22 20 19 18 17 16 16 16 16 14 13 12 11 11 11 11 11 10 9 9 8 8 8 8 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 2 2 1 0 2 7 19 40 68 81 53 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 4 6 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 14 50 72 72 70 59 61 79 92 100 101 90 75 78 80 78 67 55 52 49 53 74 108 145 178 202 218 231 250 254 256 247 224 251 255 232 228 233 223 180 107 28 5 0 0 26 82 117
10 10 11 10 10 11 13 16 17 18 19 19 19 20 18 18 19 20 22 23 22 20 20 23 28 29 30 29 28 27 25 23 23 22 20 19 18 16 15 16 17 15 14 13 11 11 11 11 11 11 10 9 8 8 8 8 8 7 6 6 6 6 6 6 4 4 4 4 4 4 4 3 3 3 3 3 2 3 2 1 5 15 25 23 14 17 20 14 7 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 18 20 20 13 11 17 17 16 17 20 26 38 48 59 66 68 70 82 123 144 152 164 181 201 217 227 252 258 251 232 216 224 216 207 199 179 142 90 38 5 1 0 0 30 81 113
11 10 11 11 11 12 15 18 18 18 18 18 18 18 18 17 16 16 18 20 20 18 18 21 24 26 29 28 27 26 24 22 22 21 20 19 18 16 15 17 17 15 14 13 11 11 11 11 11 11 10 8 8 8 8 8 8 7 6 6 6 6 6 6 4 4 4 4 4 4 4 3 3 3 2 2 2 2 1 0 14 39 60 61 34 26 15 9 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 1 4 11 15 23 33 45 62 91 135 165 170 168 171 185 201 211 233 250 243 223 208 200 189 168 134 99 67 32 2 0 0 0 0 32 80 113
11 11 10 9 12 13 15 16 16 16 16 16 16 16 17 16 16 16 17 19 19 18 20 23 25 27 28 28 26 25 23 21 20 20 18 19 18 16 16 17 17 15 14 12 11 11 12 11 11 10 10 9 9 8 7 8 8 7 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 2 2 2 2 1 0 0 18 44 66 72 67 68 45 25 11 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 3 5 13 24 44 75 102 116 125 134 147 160 169 188 223 229 205 187 177 161 139 140 141 126 73 19 2 0 0 2 30 69 94
12 11 11 12 14 15 17 16 15 14 14 14 14 13 14 15 15 16 18 19 19 19 20 19 23 26 27 26 25 24 22 19 18 18 18 18 17 16 16 16 15 14 14 12 11 12 12 12 11 11 10 9 8 8 8 8 7 6 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 2 2 1 0 0 0 0 9 21 32 45 58 63 48 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 1 11 16 13 6 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 2 7 11 11 7 1 0 1 8 18 29 41 53 73 96 117 129 135 147 176 184 166 153 147 144 150 169 159 180 141 71 21 4 0 3 18 40 52
13 12 11 11 12 14 17 15 14 12 12 12 12 11 12 14 15 16 18 19 19 19 19 17 17 20 24 25 24 23 21 18 17 17 17 17 16 16 15 15 14 13 13 11 11 11 11 11 11 11 10 9 8 8 7 8 7 6 6 6 6 6 6 4 4 4 4 4 3 3 3 2 2 2 0 0 0 0 0 0 2 4 8 13 20 25 19 8 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 1 16 17 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 2 11 24 31 22 3 0 4 13 22 30 37 45 57 72 94 112 125 133 141 141 141 140 136 135 147 168 148 204 208 143 63 16 1 0 3 9 13
13 11 9 11 13 15 15 14 11 11 11 10 10 11 12 15 15 16 18 19 18 18 17 17 15 17 22 24 22 20 19 18 17 18 17 16 15 15 15 14 14 14 13 11 11 11 11 11 11 10 9 9 8 8 8 8 6 6 6 6 6 6 5 4 4 4 4 3 3 3 2 1 1 0 0 0 0 0 0 0 0 1 1 1 3 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 0 0 0 0 0 0 0 0 0 0 1 7 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 1 6 20 30 25 11 3 4 8 12 18 29 43 56 64 75 94 118 133 137 140 152 156 149 145 148 158 183 208 241 197 114 44 10 1 0 0 0
11 10 10 11 14 15 15 13 11 9 9 10 11 12 13 16 16 15 15 15 15 15 15 15 15 16 20 21 19 18 17 17 17 18 16 15 14 14 14 13 13 13 12 11 11 11 11 11 11 10 9 8 8 8 8 7 6 6 6 6 5 5 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 9 6 2 1 1 1 3 8 14 20 33 40 56 87 115 136 153 172 180 171 160 151 151 168 177 224 191 131 79 48 30 15 5 1
12 11 11 13 15 15 13 11 9 8 8 9 11 13 14 14 13 13 13 13 14 14 15 14 15 16 16 17 17 18 18 18 17 17 15 15 14 13 13 13 13 13 11 11 11 11 11 10 10 9 9 8 8 8 8 7 6 6 6 6 5 4 4 4 4 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 7 9 19 38 66 96 121 140 157 168 170 165 161 166 173 166 124 116 137 158 151 110 60 19
14 14 15 16 15 14 12 9 8 8 9 10 13 14 13 12 10 10 11 12 13 13 13 13 14 16 16 18 18 18 18 17 16 15 15 15 14 13 12 13 13 12 11 11 12 11 10 9 9 9 9 8 8 7 6 6 6 6 6 5 4 4 4 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 38 53 66 81 102 130 147 163 171 153 109 83 123 205 285 321 302 254 113
13 12 15 15 14 12 10 10 8 8 10 11 12 12 10 11 11 11 10 11 13 12 11 11 12 14 15 16 16 16 15 15 14 15 15 15 14 12 12 13 12 11 11 11 10 9 8 8 8 9 9 8 7 6 6 6 6 5 5 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 13 19 31 67 98 135 162 156 121 104 164 261 341 385 411 434 267
12 11 13 13 13 11 10 10 9 9 11 10 9 9 9 10 10 10 11 12 12 11 9 10 11 11 12 14 14 14 14 14 15 16 15 14 13 12 13 13 12 11 10 9 8 8 8 8 8 8 8 7 6 6 6 6 5 4 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 27 53 83 110 127 134 151 219 319 364 373 385 409 337
11 13 14 13 12 10 10 9 9 9 10 9 8 8 8 8 8 8 9 11 11 10 9 9 9 10 11 12 11 12 14 14 15 15 14 13 12 12 11 11 10 10 10 9 8 8 8 9 8 7 6 6 6 6 6 5 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 2 9 25 49 70 93 121 156 198 260 349 383 384 383 362 279
10 12 12 12 12 10 9 8 8 9 9 9 9 9 8 7 7 8 7 10 10 9 9 9 8 9 10 11 11 12 13 13 13 13 13 13 12 11 11 10 10 10 10 8 8 9 9 8 7 6 6 6 6 6 5 4 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 1 0 0 0 0 0 1 7 22 48 74 95 121 154 194 235 281 349 385 378 343 274 159
11 11 13 14 12 10 8 7 7 9 9 10 10 9 7 6 6 6 8 11 9 8 8 8 7 8 10 10 10 11 11 12 13 13 13 12 12 11 10 11 11 11 10 8 8 8 7 7 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 1 0 0 0 0 0 5 22 52 89 121 144 159 175 197 229 268 312 308 256 189 123 69
12 12 13 12 11 9 8 8 8 9 10 10 9 8 7 6 6 7 7 8 8 9 8 7 7 7 9 7 8 9 10 11 12 13 12 11 11 11 10 10 10 10 9 8 8 7 6 6 6 6 6 5 4 4 4 4 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 31 65 97 119 126 123 130 155 186 202 193 154 101 79 92 114
13 12 12 12 10 9 8 7 8 9 10 9 10 9 7 5 4 5 5 7 7 7 7 7 7 7 7 7 7 8 9 10 11 10 10 10 11 11 10 11 10 9 8 8 7 6 6 6 6 6 5 5 4 4 4 4 4 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 33 45 51 52 60 94 128 134 107 65 43 34 71 144 212
12 11 11 10 10 9 8 7 8 10 10 11 13 9 7 5 5 6 8 7 7 8 8 7 6 6 6 6 7 8 9 9 9 9 9 11 11 11 10 10 9 9 8 7 7 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 12 23 46 85 117 102 63 27 17 30 102 193 253
11 11 12 11 10 9 8 7 9 11 10 11 12 9 6 5 5 5 5 5 6 6 5 5 5 5 5 6 7 8 8 8 8 9 10 11 10 10 9 9 8 8 8 7 6 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 2 0 0 0 0 0 0 0 0 0 0 1 5 14 33 61 99 96 60 28 22 50 126 208 240
10 10 11 11 11 9 7 8 9 10 10 11 11 8 6 4 4 4 4 4 5 5 4 4 5 5 4 6 7 7 7 7 7 9 10 10 9 9 9 8 8 8 8 7 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 4 0 0 0 0 0 0 0 1 1 2 4 6 10 17 34 62 64 55 45 51 83 140 196 215
10 10 11 12 11 9 7 8 9 10 10 9 8 6 5 5 5 4 3 3 4 4 4 4 4 4 4 5 5 5 6 6 7 9 9 9 8 8 9 8 8 8 8 7 6 6 6 5 4 4 4 4 4 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 2 0 0 1 2 6 12 16 17 15 12 10 9 9 12 21 40 45 51 63 86 121 162 193 191
10 11 10 11 11 9 8 8 10 10 10 9 10 6 5 4 4 3 2 3 3 3 4 4 4 4 4 4 4 5 6 7 8 8 8 7 8 9 10 8 8 8 7 6 6 6 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 5 9 17 30 44 53 55 48 35 23 18 19 22 26 32 40 56 82 111 140 166 185 169
9 10 10 12 11 10 10 9 10 11 9 9 7 4 4 4 3 3 2 3 2 3 3 3 3 4 4 4 4 5 6 7 8 7 7 7 8 8 8 8 8 7 7 6 5 5 4 4 4 4 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 30 45 60 73 89 103 106 93 66 44 43 44 41 37 39 59 92 124 148 158 158 161
9 9 10 11 11 11 10 10 10 10 9 8 5 4 4 3 3 2 2 2 2 3 3 3 3 3 3 4 4 4 5 6 6 7 7 7 8 8 8 8 7 7 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 32 46 61 81 101 125 156 184 184 146 100 94 94 85 68 55 66 106 144 157 148 139 151
10 9 9 10 11 10 9 9 10 10 9 8 6 4 3 3 3 2 1 2 2 2 3 3 3 3 3 3 3 5 5 6 6 7 8 8 8 8 8 8 7 6 6 6 5 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 19 43 66 89 117 147 175 200 233 240 208 166 154 156 147 130 116 122 156 178 167 152 142 127
10 9 9 10 12 10 8 9 10 9 8 7 7 3 3 3 2 2 1 2 1 1 1 2 2 2 3 3 3 6 5 6 6 7 8 8 8 8 8 8 6 6 5 5 5 4 4 4 3 3 3 3 3 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 66 109 148 180 210 230 230 248 248 228 197 169 165 165 171 185 205 211 154 146 139 121 89
9 8 8 10 11 10 9 8 9 10 8 6 5 3 2 2 2 2 1 2 1 1 1 2 2 2 2 3 3 4 4 5 6 6 7 8 8 8 8 7 6 6 5 4 4 4 4 4 3 3 3 3 2 3 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 73 135 190 231 256 264 263 259 239 226 214 188 170 152 146 165 186 175 158 130 112 90 61
8 8 9 10 12 10 9 8 9 9 7 6 4 3 2 1 1 1 1 1 1 1 1 2 2 2 3 4 5 4 4 5 6 7 8 8 8 8 8 7 6 6 5 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 4 22 75 150 214 260 289 303 300 233 200 206 210 193 170 146 117 108 123 147 162 167 149 114 74
8 8 9 11 12 10 8 8 8 7 6 5 4 3 2 1 1 1 1 1 1 1 1 2 2 2 3 3 4 4 4 5 7 8 8 8 8 8 8 6 6 6 5 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 13 11 5 2 2 19 41 69 115 178 234 274 312 336 322 228 199 190 180 166 152 139 111 101 112 134 163 219 230 188 127
9 9 10 12 11 9 8 7 6 6 5 5 4 2 2 1 1 1 1 0 0 1 1 1 2 2 2 3 3 3 5 6 7 7 8 8 8 8 7 6 6 5 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 24 29 23 19 40 58 77 102 137 181 227 276 344 384 370 311 241 190 159 145 144 148 145 131 139 153 171 209 244 222 167
9 9 9 10 10 9 8 7 6 5 5 4 3 2 2 1 1 1 0 0 0 1 1 1 1 1 2 2 3 4 5 7 8 8 8 8 8 8 7 6 6 4 4 4 4 4 4 3 3 3 2 2 2 2 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 18 32 49 54 72 100 125 143 163 202 282 368 405 396 353 280 209 177 174 170 159 182 149 148 151 156 165 176 180 162
9 9 9 10 11 9 8 6 5 5 4 4 3 2 1 1 1 0 0 0 0 1 1 1 1 2 2 2 3 4 6 7 8 8 8 8 8 7 6 6 6 4 4 4 4 4 4 3 3 2 2 2 1 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 37 72 123 148 143 131 138 187 295 359 358 357 359 330 270 236 226 208 192 211 184 183 176 163 153 153 159 139
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