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 -2 0 5 7 5 5 6 8 8 6 6 6 7 7 6 5 4 3 3 3 4 6 6 6 6 5 5 6 8 9 10 12 15 15 13 10 8 8 8 9 9 8 7 5 4 4 6 8 9 9 8 7 7 8 9 10 12 14 14 14 14 13 12 10 8 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 6 5 5 5 6 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 6 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 7 7 7 7 8 8 8 8 7 7 6 6 6 6 5 4 5 6 7 8 8 10 11 11 10 9 10 10 11 10 9 9 nan
nan 1 4 7 9 7 5 5 7 8 8 8 8 8 8 7 6 5 4 4 4 5 6 6 7 7 7 7 8 9 10 11 12 15 16 14 11 9 8 8 9 8 7 5 3 2 2 4 7 8 8 8 7 7 8 9 11 13 14 15 15 15 13 12 10 8 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 7 6 6 5 5 5 6 7 7 7 8 8 8 8 8 9 8 8 7 6 6 6 6 6 6 6 6 7 7 7 8 8 7 8 8 8 8 8 8 8 8 9 9 9 10 11 12 12 11 10 10 10 9 9 9 9 9 9 8 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 5 6 7 8 8 8 8 9 10 10 10 10 11 11 11 10 9 10 nan
nan 5 7 8 9 7 6 6 7 8 9 10 9 9 8 7 6 5 4 4 5 6 6 7 7 7 7 8 8 8 9 11 13 15 14 13 10 8 8 8 8 8 6 4 2 1 1 2 5 7 7 7 6 6 8 10 11 13 14 15 15 15 13 12 10 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 5 5 5 6 6 7 7 7 8 8 8 9 9 9 8 7 7 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 8 8 8 9 8 8 8 8 9 9 10 12 12 11 10 10 11 10 9 9 9 9 9 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 11 nan
nan 7 8 8 8 7 6 7 7 9 11 12 11 9 7 6 5 5 4 3 4 5 6 7 7 7 7 7 7 8 10 12 13 13 10 7 6 6 6 7 7 7 5 4 2 1 1 2 4 6 6 6 5 6 7 9 11 13 14 15 15 14 13 12 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 6 5 5 5 5 6 6 7 7 8 8 8 9 9 9 9 8 7 7 6 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 8 9 9 8 7 7 8 9 9 10 12 12 11 10 10 11 11 10 9 9 9 8 8 8 8 7 7 6 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 9 8 7 7 8 9 9 8 7 8 8 8 9 9 10 10 10 10 10 10 nan
nan 8 9 8 7 6 5 5 7 10 13 13 12 9 7 5 5 4 4 4 4 5 6 6 6 6 6 6 7 8 11 13 13 9 4 1 1 4 7 8 8 6 5 3 2 1 2 3 4 5 6 6 5 6 8 9 11 12 13 14 14 14 13 12 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 5 5 5 6 6 6 7 7 8 8 9 9 9 9 9 8 7 7 6 5 5 5 6 6 6 7 7 7 7 6 7 7 7 7 8 9 9 7 7 7 8 9 9 10 12 12 11 10 10 11 11 9 8 8 8 8 8 8 8 7 7 7 7 8 7 7 8 9 9 8 8 8 8 8 8 8 9 9 8 8 8 9 10 9 9 8 7 7 7 7 8 9 9 10 10 9 9 nan
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nan 16 18 15 11 8 5 5 7 10 11 12 11 10 8 6 6 6 5 5 5 6 6 6 6 6 6 6 7 9 11 11 8 4 -0 -1 4 12 18 17 13 9 6 3 1 -0 -1 -0 2 4 6 6 7 9 11 13 14 15 14 13 12 12 12 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 9 8 8 8 7 7 6 6 5 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 10 9 8 8 8 9 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 8 9 10 11 11 11 10 8 6 6 7 8 8 9 8 8 8 8 nan
nan 14 19 18 14 9 6 6 8 10 10 10 10 9 8 7 6 6 6 6 6 7 7 8 7 6 6 6 7 8 10 10 8 4 2 3 8 17 23 21 16 11 7 4 3 1 1 2 3 5 6 8 11 14 18 20 20 19 16 14 13 12 12 11 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 6 6 6 7 8 8 8 9 9 9 10 10 11 11 10 9 8 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 9 8 7 7 6 7 8 9 10 10 11 11 11 10 7 5 6 7 8 8 8 8 8 7 8 nan
nan 5 10 14 14 10 8 8 9 10 9 8 8 9 8 8 7 7 6 6 6 7 8 9 9 8 8 8 8 9 10 10 9 7 6 7 11 18 22 21 16 11 7 5 5 5 5 6 5 6 7 10 15 20 24 26 26 23 19 16 14 14 13 11 9 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 9 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 8 8 8 9 9 10 10 10 10 10 9 8 8 10 11 11 11 11 11 11 11 12 12 11 12 13 13 14 14 14 13 13 12 10 9 8 8 7 7 8 8 9 10 10 10 10 9 7 6 5 6 7 8 8 8 7 7 7 7 nan
nan -2 0 7 13 14 11 10 9 9 8 8 8 8 8 9 8 8 7 7 7 7 10 11 11 11 10 10 10 10 11 11 11 10 10 11 14 16 17 15 11 7 4 4 6 10 12 11 9 7 7 10 15 20 25 27 27 24 20 17 16 15 14 12 10 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 8 9 9 9 8 8 8 7 7 6 6 6 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 8 8 8 9 9 10 10 10 10 9 9 9 9 10 11 11 12 11 10 9 9 10 11 11 12 12 13 13 13 13 13 12 11 10 9 8 8 8 8 8 9 10 10 10 9 8 7 6 5 5 6 7 7 7 7 7 7 7 7 nan
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nan 11 8 8 10 13 13 11 9 8 7 7 7 7 8 9 10 10 10 8 7 6 9 13 15 16 14 13 12 12 11 11 11 11 11 11 11 9 6 3 -1 -4 -4 0 7 15 22 21 15 8 4 4 6 10 14 17 18 18 17 17 17 17 16 13 11 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 9 10 10 11 10 10 9 9 10 11 11 11 10 9 8 7 8 9 10 11 11 10 10 10 10 10 9 8 8 7 7 6 6 7 9 10 10 9 8 8 7 7 8 9 8 8 7 7 7 7 7 7 7 7 nan
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nan 9 13 18 20 18 13 10 9 10 10 12 14 15 15 14 12 11 9 8 9 11 14 16 15 11 7 5 5 5 5 5 6 6 7 7 7 6 5 4 4 6 7 7 8 9 12 15 18 18 15 9 4 1 2 6 12 17 19 17 14 12 10 10 9 9 9 10 10 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 9 10 10 10 10 9 9 9 9 8 8 8 8 7 7 6 7 9 9 9 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 9 9 7 7 7 8 9 10 9 9 9 8 7 7 7 8 8 8 8 nan
nan 10 15 21 23 21 16 12 11 12 13 15 17 18 17 15 13 11 10 9 10 12 14 14 12 9 6 5 5 5 6 6 7 7 7 7 7 6 5 5 6 7 8 7 8 10 13 17 20 22 19 12 5 2 2 6 11 15 15 13 11 9 8 8 8 8 9 11 12 13 14 14 14 14 13 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 9 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 8 7 7 7 9 10 10 10 10 10 10 10 9 8 8 8 8 8 nan
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nan 7 13 19 23 25 25 24 23 23 22 20 17 14 12 13 14 15 17 18 19 18 15 11 7 5 4 4 5 5 6 6 6 6 6 6 6 6 7 9 11 11 10 9 9 9 11 14 18 21 19 12 6 4 5 8 12 14 14 11 8 7 7 8 8 9 10 12 14 15 17 18 17 16 16 15 14 13 12 11 10 10 10 10 10 10 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 6 7 7 8 8 8 8 8 8 7 7 7 8 9 8 7 6 7 9 11 11 10 9 10 10 10 10 9 9 9 8 8 nan
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nan 7 8 9 11 14 17 18 18 16 13 9 7 6 6 7 8 11 13 15 15 12 8 5 2 2 2 3 4 4 4 4 5 6 6 6 6 7 8 8 9 11 12 13 16 19 22 23 19 15 11 8 7 6 5 6 9 13 17 16 12 10 9 10 11 12 12 12 12 12 14 15 15 14 14 13 12 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 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 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 7 9 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 nan
nan 5 5 4 6 8 10 11 11 10 8 6 5 4 4 5 6 8 9 9 8 7 4 2 1 1 2 3 4 4 5 6 7 7 7 6 6 7 7 7 7 7 8 10 14 19 24 22 17 12 9 7 6 5 5 5 8 12 15 14 13 11 10 10 10 10 11 10 11 12 13 14 15 15 14 13 12 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 10 9 9 8 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 9 10 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 nan
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nan 5 4 4 4 6 7 8 7 7 5 3 0 -2 -2 -2 -1 1 2 4 4 4 4 3 3 3 3 2 2 4 8 11 13 11 9 8 9 10 9 7 5 3 2 4 8 13 15 14 11 8 6 5 5 5 5 4 5 6 6 7 9 10 10 10 10 10 9 9 10 11 12 12 13 14 14 14 14 13 12 12 11 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 9 8 7 8 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 8 7 7 7 8 9 9 9 9 8 8 10 11 11 11 10 9 8 7 8 8 9 9 9 9 9 9 9 8 8 nan
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nan -3 2 5 6 5 4 4 5 6 7 7 7 5 2 1 2 4 6 7 6 6 5 4 3 2 1 1 1 2 5 8 9 9 9 11 13 15 14 11 9 8 10 13 15 15 13 10 8 5 4 2 3 5 8 11 14 16 16 14 11 9 10 11 11 11 11 11 11 11 11 10 10 11 11 12 12 13 13 13 12 12 12 11 11 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 10 9 8 9 9 10 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 7 6 7 9 10 9 8 8 8 7 7 7 8 9 9 8 8 7 7 7 7 7 7 nan
nan -3 2 5 7 6 6 5 5 5 5 6 6 6 5 5 6 9 11 13 12 10 8 6 4 3 3 3 4 6 7 8 8 9 10 11 13 13 12 11 10 10 11 12 13 13 12 10 7 4 2 2 3 6 10 15 19 21 20 16 11 8 9 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 10 9 9 8 8 7 7 7 7 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 10 10 11 11 11 11 10 9 9 9 9 9 9 8 8 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 9 9 8 8 8 9 9 9 8 7 7 7 7 6 7 8 9 8 8 8 8 8 7 7 7 7 nan
nan 2 5 8 9 9 8 8 8 7 5 5 5 6 7 7 8 10 12 14 15 13 11 10 8 6 6 6 7 8 8 7 7 8 10 11 11 11 10 9 9 8 8 8 8 8 9 8 7 5 2 1 3 7 11 16 20 22 20 15 10 7 8 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 12 11 11 10 10 9 8 8 8 7 7 7 7 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 10 11 11 11 11 11 10 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 9 10 11 10 9 8 8 8 9 9 9 10 9 8 7 6 7 7 6 7 8 9 8 8 8 8 8 8 8 7 7 7 nan
nan 6 10 13 13 12 11 11 11 9 7 6 6 7 7 7 8 9 10 11 12 12 11 11 10 9 8 7 7 7 7 8 8 10 10 10 9 8 7 6 6 6 6 5 4 6 8 9 9 8 6 4 4 6 10 14 18 20 18 13 9 7 7 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 7 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 10 11 11 12 12 11 11 10 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 9 8 8 8 8 8 9 9 9 9 10 10 9 8 8 8 9 10 10 10 9 8 7 6 6 7 7 8 8 9 9 8 8 9 9 9 8 8 8 7 7 nan
nan 5 10 14 14 11 10 11 12 11 10 8 8 8 7 6 6 8 10 11 11 11 11 10 10 8 7 6 6 6 9 12 14 14 12 9 6 5 4 3 3 4 5 5 5 7 9 12 13 13 11 9 7 8 9 12 15 16 15 11 8 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 8 8 9 9 10 10 11 12 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 10 10 9 8 7 7 6 6 6 7 8 9 10 10 9 9 9 10 9 8 8 8 8 8 6 nan
nan 5 7 8 8 6 6 8 10 11 11 11 10 9 7 6 6 8 10 12 14 15 14 12 9 6 4 4 6 8 12 16 17 17 14 10 6 4 4 5 5 5 5 6 7 8 11 13 16 16 15 13 11 10 10 10 10 11 10 9 8 7 7 8 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 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 11 12 12 12 11 10 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 8 7 6 6 6 7 8 9 9 10 11 11 10 10 10 10 8 8 8 9 9 8 6 nan
nan 8 7 5 2 1 3 6 8 10 11 12 11 9 8 7 7 7 9 11 15 18 19 15 9 3 1 3 7 12 15 17 17 15 14 11 9 9 10 11 10 9 8 8 8 10 12 14 15 15 14 14 13 11 9 7 5 4 5 6 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 7 7 8 8 8 9 9 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 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 12 12 11 10 9 8 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 6 6 7 7 8 9 10 10 10 11 11 10 10 9 8 7 8 9 10 9 7 7 nan
nan 10 7 3 1 1 4 6 7 8 9 9 9 9 9 8 8 7 7 9 13 16 18 16 9 3 2 6 11 14 15 14 12 12 12 12 13 15 17 17 15 12 10 9 9 11 13 15 15 14 13 13 13 13 10 5 2 1 3 5 6 5 5 6 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 11 11 11 12 11 11 10 9 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 9 9 10 10 10 11 11 10 10 9 8 8 8 9 10 9 7 6 6 nan
nan 5 -1 -3 -1 4 7 8 7 6 5 6 6 8 8 9 8 7 7 8 10 13 14 13 9 5 8 13 15 14 11 8 6 6 8 11 13 15 17 18 17 14 10 8 9 11 15 16 15 13 12 12 13 13 11 6 4 4 6 7 7 5 5 5 6 7 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 11 11 10 9 8 7 7 8 9 9 9 7 6 6 7 nan
nan -7 -12 -8 0 8 12 10 7 5 3 3 4 6 8 8 7 6 6 6 9 10 10 10 9 11 15 18 17 13 7 3 1 3 5 6 8 10 13 14 15 13 10 7 8 11 14 15 14 13 12 12 12 12 11 9 8 9 11 11 9 7 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 9 8 7 6 7 7 7 7 7 6 7 7 8 nan
nan -11 -13 -4 7 13 15 12 9 6 4 4 4 6 7 8 6 5 4 4 6 7 7 7 9 13 16 17 14 10 6 3 3 4 4 4 4 5 7 10 11 12 11 9 8 11 12 13 12 12 12 11 11 11 10 10 11 13 14 13 12 9 7 7 7 8 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 7 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 9 9 8 9 9 9 8 7 6 6 6 6 7 7 8 8 9 9 9 nan
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nan 10 9 8 8 8 8 8 7 7 7 9 10 10 10 9 8 7 8 14 20 25 28 27 22 17 15 14 13 12 11 10 9 10 10 11 11 11 11 11 12 14 14 14 15 15 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 12 11 9 8 8 9 11 14 17 19 19 17 16 15 15 15 15 15 14 14 13 13 13 13 14 14 14 13 13 12 11 11 11 10 10 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 11 10 9 9 8 8 8 8 8 7 7 6 6 6 6 7 7 7 9 10 11 12 13 13 12 11 11 10 9 8 7 7 7 7 nan
nan 8 9 9 9 10 10 11 10 8 8 8 9 9 9 9 8 9 12 18 24 29 31 28 22 17 15 14 13 12 12 11 11 11 12 12 12 12 12 12 14 15 15 14 14 13 13 13 13 13 12 12 12 12 12 12 12 13 13 12 12 11 10 9 8 7 8 10 13 15 17 17 16 15 15 15 15 15 15 15 15 14 13 13 13 13 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 13 12 11 10 10 9 8 8 8 8 8 7 7 6 6 6 6 7 7 7 8 9 10 11 12 13 13 13 13 12 10 8 7 7 7 7 nan
nan 7 8 9 10 12 13 14 13 10 8 7 7 6 7 7 7 9 13 18 23 27 27 23 18 15 13 12 11 11 11 10 11 11 11 11 11 11 12 15 17 19 18 16 14 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 12 11 9 7 6 6 8 10 13 15 16 14 13 13 13 14 15 15 16 15 15 14 13 13 13 12 12 12 12 11 11 11 10 10 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 13 13 12 12 11 10 9 9 8 8 8 8 7 7 6 6 6 6 6 7 7 8 8 9 10 11 13 15 15 15 13 11 9 8 7 7 7 nan
nan 7 7 8 10 12 14 15 14 11 8 6 4 4 4 5 6 8 11 15 19 22 22 18 16 13 11 11 10 10 9 9 9 10 9 10 10 10 13 17 21 22 20 17 13 11 10 10 10 10 10 10 10 11 11 12 12 13 13 13 12 11 9 6 5 5 7 10 13 15 15 13 12 12 13 14 15 15 15 15 15 14 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 13 13 13 12 12 11 10 9 8 8 8 8 7 7 6 6 6 7 7 7 7 7 8 8 9 11 13 15 16 15 13 11 10 9 8 8 7 nan
nan 7 7 8 8 10 11 13 12 10 8 6 5 4 4 5 6 6 8 11 14 17 18 16 14 13 11 10 10 9 9 8 8 8 8 8 8 10 14 20 23 23 21 16 11 9 8 8 8 9 9 9 10 11 11 12 12 13 13 13 13 11 8 6 5 5 6 9 13 15 15 14 13 13 13 13 14 15 15 15 15 14 14 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 13 13 12 12 11 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 11 14 15 15 14 12 10 10 10 10 9 9 nan
nan 7 7 7 7 8 9 10 10 10 9 8 7 6 6 6 6 6 6 7 10 13 16 15 14 13 12 11 10 9 8 8 8 8 7 7 7 10 15 21 24 24 20 15 9 7 7 7 8 8 9 9 10 11 11 12 12 13 13 13 12 10 8 6 5 5 7 10 13 16 16 15 14 13 12 13 13 14 14 14 14 14 14 13 13 12 12 11 10 10 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 11 13 14 13 12 10 9 9 9 10 11 10 nan
nan 6 6 6 7 7 7 8 9 10 11 10 10 9 9 9 8 8 7 7 9 11 14 15 15 14 13 12 10 9 8 7 7 7 6 6 7 10 16 20 23 22 18 13 8 7 7 7 8 8 9 9 10 11 11 12 13 13 13 13 12 10 8 7 6 6 8 11 14 17 17 17 15 13 12 11 12 12 13 13 14 13 13 13 13 13 12 12 11 10 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 11 11 10 9 9 8 8 7 7 7 8 8 8 8 8 7 8 8 8 9 10 11 12 12 11 10 9 8 8 8 9 9 9 nan
nan 6 6 6 7 7 7 8 9 10 11 11 10 10 10 9 9 9 9 10 11 12 14 15 15 15 14 12 10 8 7 6 6 6 5 6 8 12 16 19 20 18 15 11 8 7 7 8 8 9 9 10 11 11 11 12 12 13 13 13 11 10 9 8 8 8 9 12 14 16 17 16 15 13 11 10 11 11 11 12 12 12 13 13 13 12 12 12 12 11 11 10 10 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 8 8 8 8 7 7 7 nan
nan 6 6 7 8 8 8 8 9 10 10 10 9 9 8 7 7 8 10 12 14 14 15 15 15 15 14 13 10 8 6 4 3 3 3 5 10 14 16 17 16 13 11 9 8 8 8 9 9 10 10 11 11 11 11 12 12 13 13 12 11 10 10 10 10 11 12 12 13 14 14 14 13 11 10 9 9 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 9 9 9 9 9 9 10 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 10 9 8 8 8 8 7 7 7 nan
nan 6 6 7 8 8 8 8 8 8 9 9 9 8 7 7 7 8 10 13 15 15 15 15 15 15 14 12 10 7 4 2 0 -0 1 6 11 15 16 15 12 9 8 7 8 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 11 10 10 10 11 12 12 12 11 11 11 10 10 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 10 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 8 8 8 nan
nan 7 6 7 8 9 8 7 6 6 7 8 9 9 9 9 9 10 12 13 14 14 14 13 13 13 12 10 8 5 2 -1 -2 -2 2 8 13 15 15 13 10 7 7 7 9 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 11 11 11 10 9 8 8 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 13 13 12 12 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 8 8 7 nan
nan 7 6 7 9 10 10 9 8 7 7 7 8 9 10 10 11 13 16 18 16 14 12 11 10 10 9 7 5 3 0 -3 -4 -2 4 11 15 15 13 11 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 10 9 9 8 7 7 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 11 11 12 11 11 10 10 10 10 9 9 10 10 10 11 11 11 10 9 8 8 8 8 8 8 7 7 nan
nan 7 6 8 10 12 13 12 11 10 10 8 8 8 8 8 10 14 20 23 21 17 13 9 7 6 4 3 2 2 -0 -4 -4 -2 5 12 14 13 12 10 9 9 10 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 10 10 11 11 11 11 11 10 10 9 9 9 9 10 10 11 11 10 9 8 7 7 7 8 8 8 9 nan
nan 8 7 8 11 12 13 13 12 12 12 11 9 8 7 8 10 15 23 27 26 22 16 10 6 3 0 0 1 2 1 -2 -2 0 5 9 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 11 11 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 8 8 9 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 9 9 10 10 10 10 10 9 9 8 8 9 9 10 10 11 11 10 10 8 7 7 8 9 10 10 nan
nan 8 8 10 12 13 13 12 12 11 11 11 11 10 10 11 13 18 24 27 26 23 18 11 5 0 -2 -1 2 4 6 4 3 4 6 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 8 9 10 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 8 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 10 10 10 9 9 9 8 8 8 9 9 10 10 11 11 11 9 8 8 8 9 10 11 nan
nan 8 8 10 12 14 14 14 12 10 9 9 10 11 13 16 18 20 22 24 23 21 17 10 3 -1 -2 -0 4 8 11 11 9 8 8 8 9 9 10 11 12 12 12 11 11 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 6 6 7 7 7 7 8 8 10 11 12 12 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 11 11 10 9 8 8 8 8 9 10 nan
nan 7 6 8 10 13 16 16 13 9 6 5 6 9 13 19 20 20 19 19 17 16 13 8 2 -0 -1 1 5 9 12 13 11 10 9 9 9 9 10 11 11 12 12 12 12 11 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 12 12 12 11 11 10 9 8 8 8 7 7 7 7 7 8 8 9 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 9 10 11 12 12 11 10 10 9 7 6 7 8 nan
nan 8 6 7 9 12 15 16 14 10 6 3 3 4 9 14 16 15 14 13 12 11 10 7 3 2 1 2 4 7 9 10 10 9 8 8 8 8 9 10 10 11 11 12 12 11 10 10 10 10 10 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 12 11 10 10 9 9 8 8 7 7 8 8 9 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 8 7 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 8 9 9 11 13 14 14 14 13 12 11 9 7 7 7 nan
nan 12 10 9 9 10 13 15 14 11 8 4 2 2 3 6 9 9 8 8 8 8 8 7 5 4 3 3 4 5 7 7 7 7 7 7 7 7 8 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 14 14 14 14 14 14 13 13 12 11 10 9 8 8 8 8 8 9 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 13 14 14 14 14 13 12 11 10 9 8 nan
nan 13 12 11 10 10 11 13 13 11 9 7 4 4 3 4 4 4 5 5 6 6 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 7 8 9 9 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 13 13 14 15 15 15 15 15 14 13 12 11 11 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 12 12 11 11 11 11 11 11 12 12 12 12 11 11 10 10 nan
nan 10 10 10 9 9 9 10 11 11 10 10 10 10 9 8 6 5 5 5 6 7 7 7 8 7 7 7 6 6 7 7 6 6 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 13 13 14 15 15 15 15 15 15 14 13 12 11 10 9 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 12 13 13 14 14 14 13 13 12 11 10 9 10 10 11 11 11 11 11 10 10 nan
nan 8 8 8 8 8 8 8 9 9 11 13 15 17 17 15 12 10 9 8 8 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 13 13 14 14 15 15 15 15 15 15 14 13 12 11 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 11 12 12 12 12 12 12 12 11 10 10 9 9 10 11 11 11 11 10 10 9 nan
nan 8 8 8 8 8 8 8 8 8 9 12 16 20 21 20 18 16 14 13 13 13 13 12 12 12 12 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 13 13 13 14 14 14 15 16 16 16 15 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 11 11 12 12 13 12 12 12 12 12 11 10 9 9 10 10 11 11 10 10 10 10 10 9 9 10 10 10 11 10 10 9 9 9 nan
nan 10 9 8 9 9 9 8 7 6 6 8 12 16 19 20 19 19 17 16 16 15 14 14 13 13 13 12 12 11 11 10 10 10 10 10 10 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 9 9 9 10 10 10 11 11 11 11 11 12 12 12 13 13 13 14 14 14 15 16 16 16 16 15 14 13 12 12 12 11 11 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 13 14 13 13 11 10 10 10 10 11 11 11 10 10 9 9 9 10 10 10 10 10 9 9 9 8 8 nan
nan 13 10 9 9 10 10 9 7 6 4 5 7 10 13 15 16 17 16 16 15 14 14 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 12 12 12 12 12 12 13 13 13 14 14 15 16 16 17 17 16 15 14 14 13 13 12 11 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 11 11 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 13 13 12 11 10 10 10 11 12 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 nan
nan 15 12 9 9 9 10 9 8 7 6 5 6 7 8 10 11 12 12 12 11 11 11 11 11 11 12 12 12 12 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 12 13 13 14 14 15 16 16 17 17 16 16 16 15 14 13 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 12 13 13 12 11 9 8 8 8 9 9 10 10 10 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 nan
nan 14 12 10 9 9 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 10 10 10 11 11 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 14 14 15 15 16 16 16 16 16 16 15 15 14 13 12 11 11 10 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 11 12 12 11 10 10 9 8 8 8 8 9 10 11 12 12 11 10 9 9 9 9 9 10 10 11 11 11 12 13 14 13 13 12 12 nan
nan 11 11 11 10 11 11 11 12 13 14 15 15 13 12 10 8 6 5 6 8 9 11 12 12 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 13 13 13 13 14 14 14 15 15 15 15 15 15 15 15 15 14 13 13 12 12 11 11 11 10 10 10 10 9 9 9 10 10 11 11 12 12 12 12 12 13 13 13 14 13 13 13 13 12 13 13 13 13 14 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 10 10 11 12 12 13 12 12 11 11 10 11 11 12 13 13 13 11 10 9 10 11 12 12 12 11 11 11 12 12 13 14 15 15 15 14 nan
nan 9 10 11 11 11 12 12 13 13 14 15 16 16 15 13 10 7 5 6 8 11 13 15 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 13 14 14 14 14 14 14 14 14 14 15 15 15 14 14 14 13 13 13 12 12 11 11 11 11 11 10 11 11 11 12 12 13 13 13 13 14 14 15 15 15 15 15 14 14 14 14 14 15 15 15 15 14 13 12 11 10 9 9 9 9 10 9 9 9 9 11 12 13 14 14 12 11 11 12 13 13 13 13 14 13 13 13 14 13 13 12 11 11 11 12 14 15 16 15 14 13 11 11 11 11 12 14 15 15 13 nan
nan 8 9 9 10 10 11 11 11 11 13 14 15 16 16 16 12 8 6 6 8 11 15 17 18 16 14 13 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 14 14 13 13 13 13 12 12 13 13 13 14 14 14 14 15 15 15 16 16 16 16 16 16 16 16 15 15 15 16 16 16 16 16 15 14 13 12 11 11 11 11 11 11 10 10 11 12 13 14 15 15 14 13 12 11 11 12 13 13 14 13 13 13 13 13 12 12 11 11 12 13 14 15 16 17 18 17 14 11 10 9 9 10 12 14 13 11 nan
nan 7 7 6 7 7 7 8 8 9 11 13 15 17 18 17 15 11 8 8 9 12 16 19 19 18 16 14 12 11 11 11 10 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 15 15 16 16 16 16 16 16 15 15 15 15 15 15 15 16 16 16 16 16 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 16 16 16 16 16 15 14 13 13 12 13 14 14 14 13 13 14 15 15 14 14 14 13 13 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 14 16 17 18 16 13 11 9 8 9 11 11 11 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
CAPE
1956 1950 1953 1920 1809 1732 1699 1669 1608 1528 1461 1410 1362 1342 1339 1313 1256 1195 1049 936 868 856 853 860 964 1087 1160 1203 1215 1193 1128 1026 907 970 1085 1354 1580 1626 1525 1354 1167 993 845 757 749 817 931 999 1049 1061 1052 1031 1002 973 961 981 1016 1045 1067 1075 1042 959 847 733 629 542 480 452 456 468 480 483 476 458 429 402 394 393 368 327 289 265 246 222 187 150 117 90 70 57 55 51 38 21 7 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 3 9 20 32 42 47 48 48 51 50 52 52 51 50 51 53 50 46 45 44 40 33 26 27 29 32 33 32 27 17 1 0 4 15 27 34 36 21 23 28 34 52 87 137 216 289 365 458 552 628 682 719 743 681 630 592 558 519 477 432 405 418 451 496 531 553 620 690 719 705 659 608 580 588 582 586 605
1787 1751 1735 1706 1601 1570 1539 1537 1510 1447 1377 1304 1245 1246 1277 1278 1252 1206 1084 975 897 854 839 849 885 937 988 1026 1035 1032 982 887 829 924 1144 1468 1636 1594 1431 1253 1081 911 752 659 669 778 935 1030 1073 1067 1038 1005 978 961 964 1000 1049 1086 1109 1113 1086 1017 912 789 675 584 526 504 509 512 515 510 495 479 463 436 420 407 374 329 288 260 238 211 173 136 102 75 56 44 37 27 15 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 21 32 40 41 39 35 41 40 41 42 43 44 45 47 46 42 40 37 31 26 25 24 26 28 30 30 28 19 2 0 11 24 32 32 25 17 19 23 30 44 69 99 132 184 256 344 431 495 526 536 549 522 491 462 428 380 326 276 251 297 365 439 506 553 618 694 741 726 672 607 561 581 613 644 661
1718 1670 1609 1548 1481 1452 1385 1378 1363 1330 1288 1247 1218 1230 1254 1244 1228 1205 1145 1064 996 944 917 914 920 918 905 895 885 910 917 895 895 991 1225 1538 1650 1545 1347 1173 1024 855 696 609 636 767 934 1047 1098 1085 1043 1003 983 989 1017 1046 1088 1117 1132 1129 1102 1042 941 812 693 608 563 551 558 563 549 532 509 495 486 465 443 415 368 322 283 252 227 201 166 126 90 62 43 29 17 8 2 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 4 9 18 25 28 28 29 32 36 37 37 37 38 39 41 44 44 40 35 29 24 23 23 23 24 25 26 26 25 20 3 0 11 23 31 32 25 16 22 21 26 33 47 73 97 137 197 265 334 380 386 365 343 313 281 255 230 200 162 120 112 180 270 373 482 569 633 684 728 745 710 640 593 610 626 640 672
1700 1684 1608 1503 1431 1394 1295 1280 1260 1246 1247 1262 1275 1272 1257 1225 1198 1185 1155 1094 1055 1035 1023 1010 985 952 916 893 872 898 921 945 1003 1131 1345 1542 1544 1393 1210 1068 955 819 682 608 628 735 881 1005 1080 1081 1038 1000 997 1026 1065 1083 1090 1094 1095 1090 1071 1022 934 813 702 628 596 595 598 582 557 531 510 495 483 467 442 405 365 321 277 239 210 187 159 120 81 50 28 13 4 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 14 20 24 27 32 36 38 37 35 35 35 37 40 44 43 40 31 24 23 23 23 23 23 23 23 20 15 12 2 0 4 14 25 33 29 17 24 21 25 33 46 70 99 132 175 212 247 270 263 226 181 138 106 85 73 70 69 42 44 106 215 352 490 596 657 675 730 762 729 662 640 658 684 705 708
1691 1682 1561 1475 1415 1349 1263 1213 1189 1199 1232 1265 1285 1279 1222 1135 1124 1155 1151 1096 1065 1068 1064 1038 1005 979 961 941 908 910 931 988 1094 1242 1392 1442 1338 1180 1040 945 874 789 688 623 623 696 814 933 1019 1040 1002 969 971 1001 1025 1013 974 950 947 959 966 948 893 802 709 647 619 611 603 575 536 506 484 466 450 435 413 380 354 319 277 238 206 179 152 116 75 41 18 5 0 0 0 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 13 19 25 31 36 40 39 36 34 33 34 36 39 43 43 41 32 26 24 24 23 22 22 20 17 11 2 0 0 0 1 8 21 34 32 20 22 26 33 41 52 70 93 118 150 164 174 183 178 142 91 56 38 29 27 31 34 25 26 67 169 322 490 619 689 712 767 785 750 702 694 718 734 730 721
1776 1694 1543 1383 1312 1279 1232 1179 1145 1159 1205 1253 1282 1276 1220 1138 1152 1196 1210 1193 1173 1155 1115 1060 1021 1004 1007 1008 970 948 943 1010 1136 1266 1336 1302 1189 1074 962 874 813 760 690 631 610 655 757 874 953 959 911 866 842 829 811 776 729 701 710 744 787 816 813 771 703 651 620 602 581 544 502 467 437 412 395 382 366 340 325 306 277 246 217 186 153 114 73 39 15 3 0 0 0 2 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 12 20 27 34 39 42 40 37 34 34 34 37 40 41 45 43 38 33 29 26 23 23 20 15 8 3 0 0 0 1 2 8 21 32 33 26 28 35 45 55 64 73 80 95 112 114 115 125 131 111 76 47 35 31 30 30 24 20 20 48 134 288 482 636 709 763 818 828 789 737 708 709 735 744 709
1805 1678 1534 1388 1299 1270 1263 1249 1224 1197 1207 1270 1332 1349 1317 1274 1282 1304 1317 1308 1286 1261 1241 1193 1128 1100 1082 1050 998 954 916 970 1084 1170 1176 1122 1099 1131 1067 929 811 741 684 635 596 616 700 801 857 832 762 697 643 591 546 509 477 465 488 539 605 666 703 699 656 617 593 573 545 506 466 427 387 354 337 328 316 298 281 277 268 254 231 200 159 111 68 34 11 1 0 0 0 1 2 3 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 1 1 3 13 22 30 36 40 41 42 39 37 36 37 38 41 42 46 46 43 38 32 28 24 22 15 8 3 0 0 0 0 0 3 10 19 25 27 27 30 40 52 65 75 77 77 78 81 80 82 90 101 112 103 72 51 39 32 26 18 13 12 32 105 260 477 632 709 761 801 816 786 716 657 653 659 680 675
1718 1593 1477 1377 1295 1268 1283 1308 1311 1280 1259 1339 1433 1479 1464 1438 1423 1420 1425 1421 1396 1352 1297 1239 1197 1160 1120 1059 975 893 830 847 926 968 923 838 824 902 1121 1044 884 758 682 635 598 600 649 708 727 681 597 515 450 386 344 322 308 311 344 408 484 553 597 605 582 549 532 517 495 466 430 389 344 306 286 274 261 247 240 237 240 238 225 197 153 103 58 27 8 1 0 0 0 0 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 26 34 38 41 42 43 40 38 37 39 41 44 45 48 49 48 46 40 32 25 21 10 3 0 0 0 0 0 0 2 6 11 15 22 27 33 43 55 67 75 74 68 60 63 70 78 87 102 123 121 97 69 47 32 22 13 9 9 19 84 226 416 572 653 687 712 731 722 665 596 605 598 610 618
1576 1530 1438 1351 1272 1240 1248 1280 1313 1334 1347 1419 1484 1523 1530 1522 1513 1506 1509 1499 1467 1412 1334 1237 1176 1152 1106 1016 904 800 721 701 750 775 713 604 558 649 852 994 932 796 687 627 592 568 568 580 578 539 459 362 304 274 243 222 217 234 275 349 436 503 537 538 515 482 465 450 436 418 393 358 314 276 248 229 213 200 193 193 194 191 179 155 119 77 40 14 3 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 19 30 37 40 41 42 42 38 37 38 40 43 46 49 53 55 56 57 51 38 28 22 10 2 0 0 0 0 0 0 1 4 9 15 22 29 37 44 53 59 61 61 52 49 55 66 77 88 101 105 97 83 63 44 31 22 13 7 12 20 60 155 296 438 523 567 610 656 676 638 552 536 525 511 490
1460 1444 1370 1273 1214 1210 1234 1270 1310 1344 1367 1389 1405 1423 1445 1467 1488 1509 1511 1483 1429 1361 1297 1239 1171 1120 1050 939 817 711 636 605 629 645 602 511 430 447 604 848 868 772 665 595 551 507 477 456 438 411 358 279 235 197 173 168 181 210 259 335 429 505 540 530 488 436 409 394 381 369 354 328 291 257 230 209 192 177 163 152 147 138 119 97 72 43 19 5 1 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 26 33 38 40 41 41 39 35 36 38 41 43 47 53 59 62 63 64 59 47 32 23 12 3 0 0 0 0 0 0 1 4 9 16 23 34 40 43 44 43 40 41 40 42 48 56 62 65 68 64 58 51 42 34 27 20 11 5 16 27 48 92 157 240 328 406 480 542 570 553 528 510 496 470 430
1360 1400 1329 1217 1167 1191 1236 1268 1292 1299 1287 1266 1265 1265 1287 1337 1388 1418 1418 1394 1348 1276 1216 1159 1081 1030 937 833 739 659 599 566 563 565 548 499 447 441 524 693 735 685 611 554 517 480 457 412 359 318 275 209 158 126 127 148 175 206 249 306 387 471 526 532 490 426 370 343 334 326 311 289 265 243 220 203 188 173 158 141 124 108 88 66 45 25 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 2 9 20 30 35 37 39 41 40 36 33 35 38 42 46 50 56 64 69 71 71 65 51 35 22 13 4 0 0 0 0 0 0 0 3 7 13 18 27 35 39 36 31 29 29 32 34 34 39 43 42 39 37 34 30 27 24 20 15 10 9 18 28 37 50 69 109 164 237 309 368 412 445 459 459 455 428 387
1331 1362 1192 1015 994 1105 1207 1241 1241 1219 1183 1153 1146 1154 1177 1215 1248 1269 1281 1295 1290 1232 1203 1166 1064 896 759 694 650 608 568 538 522 510 502 491 486 497 534 590 607 574 522 481 464 471 507 469 371 278 192 110 55 38 62 101 136 168 201 236 288 364 435 470 460 419 369 332 317 297 276 256 241 230 214 200 186 173 158 140 119 101 85 61 40 25 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 25 31 35 38 39 40 38 36 34 36 39 42 46 51 58 68 75 79 78 68 51 32 20 11 3 0 0 0 0 0 0 0 2 6 10 12 15 24 29 29 28 27 28 29 29 26 28 30 29 29 30 27 22 18 16 15 15 16 19 23 28 30 30 33 59 95 141 188 230 263 295 327 351 374 369 346
1225 1137 933 783 777 921 1101 1196 1182 1145 1103 1073 1067 1083 1092 1123 1154 1169 1177 1204 1249 1201 1169 1145 1041 844 682 622 590 552 515 485 461 439 436 453 487 518 528 520 485 421 360 330 346 411 509 521 398 253 128 44 8 4 11 27 52 84 118 153 194 253 322 375 398 392 367 342 325 283 250 229 216 208 206 195 180 167 154 139 120 102 83 60 41 27 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 17 25 31 36 38 40 39 37 36 37 38 40 42 47 52 59 68 77 80 77 66 48 30 17 4 1 0 0 0 0 0 0 0 2 6 11 12 12 18 24 27 27 27 27 28 27 23 23 23 23 24 25 23 19 16 15 17 20 26 30 32 33 32 30 29 46 66 89 110 127 144 167 199 234 272 305 326
971 860 725 647 700 873 1055 1133 1118 1080 1040 1014 1006 1006 995 1027 1070 1083 1083 1117 1201 1155 1060 1030 946 781 631 557 535 485 440 407 383 363 362 397 439 467 466 430 358 271 214 196 213 266 345 409 335 205 90 22 0 0 0 1 7 23 52 92 139 188 247 301 339 357 361 366 357 290 238 208 192 186 189 183 169 156 146 135 120 102 72 51 37 25 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 9 11 15 21 28 34 36 35 33 34 36 38 41 42 43 46 51 57 64 73 76 71 58 43 30 19 5 1 0 0 0 0 0 0 1 3 7 12 13 15 21 26 28 29 29 26 24 20 18 17 17 17 18 16 18 19 20 23 27 32 37 39 38 37 36 34 32 32 42 53 62 68 75 83 102 144 193 240 280
720 545 491 569 740 920 1031 1052 1043 1017 984 967 959 953 950 982 1039 1058 1050 1081 1147 1080 936 943 954 830 604 482 491 425 372 338 315 302 307 339 370 385 371 328 261 192 156 142 134 133 155 204 192 123 55 14 0 0 0 0 0 6 28 69 120 168 215 261 301 331 345 342 338 290 243 207 187 180 177 168 158 147 137 125 109 91 63 43 29 18 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 10 10 11 15 24 29 30 29 29 31 36 40 44 45 47 50 53 59 66 73 75 69 55 40 30 20 9 3 1 0 0 0 0 0 1 4 9 13 15 17 23 27 30 31 30 26 22 17 14 13 12 11 12 14 19 23 27 32 38 44 46 48 49 48 47 48 45 43 43 43 44 46 52 62 70 103 149 196 241
480 347 332 458 675 857 946 964 969 969 953 944 945 956 984 1035 1089 1087 1065 1065 1050 953 819 841 847 792 690 572 480 395 338 299 275 266 276 299 317 316 294 258 213 171 147 122 95 68 54 58 60 46 25 7 0 0 0 0 0 9 42 87 132 169 201 234 265 290 305 311 308 279 251 223 201 186 175 163 158 143 128 112 92 70 49 32 20 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 9 10 11 13 19 24 26 27 30 34 39 43 47 50 52 56 60 64 67 71 71 67 55 42 32 22 11 4 1 0 0 0 0 0 1 4 9 14 17 18 23 27 30 31 31 28 22 16 13 10 7 6 11 16 20 27 35 42 51 62 73 73 68 62 58 55 50 49 48 44 42 43 41 50 58 78 106 141 185
285 197 213 346 580 764 840 865 890 925 943 960 984 1023 1084 1159 1206 1174 1081 981 867 750 685 702 773 784 709 583 467 385 321 283 261 256 265 279 284 271 245 215 185 159 140 107 72 34 8 2 9 19 21 11 2 0 0 0 0 34 90 139 167 178 191 210 230 247 260 270 276 271 257 238 219 202 187 174 168 143 121 101 79 57 37 22 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 10 11 12 15 20 25 27 30 34 39 43 47 52 56 58 59 61 63 66 65 64 56 44 33 23 13 4 1 0 0 0 0 0 1 5 10 15 19 23 25 28 31 32 33 32 29 24 20 17 15 15 19 23 30 36 43 50 61 77 85 82 75 68 62 58 56 53 49 46 45 44 40 36 39 48 65 86 112
243 191 189 262 442 646 725 760 798 848 889 918 946 977 1021 1077 1111 1060 877 741 627 569 587 642 728 742 658 553 459 375 303 275 258 251 252 251 243 225 201 180 163 146 123 92 63 30 9 6 20 40 50 36 16 3 0 1 5 74 153 197 200 183 176 182 194 209 227 243 253 259 261 256 245 229 211 192 177 145 115 89 65 44 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 4 5 7 10 13 18 25 27 30 35 39 42 46 51 56 59 61 63 69 76 72 67 58 45 33 22 12 3 0 0 0 0 0 1 3 6 12 17 21 26 26 28 30 33 34 35 35 34 32 30 29 29 32 35 39 43 49 56 63 79 83 81 75 69 64 63 61 59 56 54 52 49 45 40 35 36 46 60 67
164 186 210 251 350 551 637 676 706 740 770 790 804 817 825 834 833 771 607 493 428 450 548 670 765 748 632 530 432 337 278 255 239 226 216 207 196 182 162 145 135 126 110 83 60 29 11 17 47 87 113 84 40 14 7 15 47 124 200 229 215 184 166 159 157 174 202 230 252 263 270 272 265 249 228 205 181 146 111 81 56 36 18 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 2 6 11 18 27 30 33 35 38 42 46 51 55 60 71 81 84 89 85 74 60 46 32 20 11 2 0 0 0 0 0 0 2 7 13 18 21 23 23 26 30 33 36 40 40 39 39 39 39 40 43 45 46 47 52 60 67 72 73 73 72 71 71 75 75 69 66 65 63 60 56 51 43 41 46 51 53
58 85 105 138 250 470 535 574 612 640 657 664 668 664 645 606 550 484 391 331 336 414 546 683 749 684 563 479 379 287 237 211 195 180 169 161 154 145 131 110 99 96 90 74 54 30 15 25 64 122 171 144 80 43 39 66 120 187 235 247 226 195 174 155 135 142 170 209 246 272 283 277 266 250 230 206 180 147 110 79 53 32 14 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 2 7 13 19 28 31 32 35 39 44 49 55 64 76 86 92 96 101 97 82 62 45 32 20 6 1 0 0 0 0 0 0 2 7 13 17 17 17 20 26 31 35 39 43 44 47 49 51 52 52 52 50 51 51 55 60 64 61 60 64 69 73 74 75 76 73 70 68 67 68 70 69 62 58 57 56 55
7 7 8 17 104 267 355 436 522 559 557 541 530 514 452 395 343 303 273 271 341 460 586 669 672 586 466 400 305 229 191 167 150 139 133 129 126 120 107 92 81 75 69 59 45 26 17 31 73 138 199 176 101 56 51 84 145 214 259 270 253 225 196 167 140 135 153 189 231 261 265 250 237 225 209 187 163 135 103 74 49 27 11 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 2 7 13 17 19 28 30 33 37 41 45 52 63 75 86 94 103 114 123 118 97 69 46 34 21 8 2 0 0 0 0 0 1 3 7 12 14 15 17 22 29 35 40 43 45 48 51 55 59 59 57 54 52 52 53 56 59 61 61 62 62 64 68 71 70 66 64 63 62 62 63 70 75 75 73 69 67 64
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33 18 9 6 8 13 26 41 60 88 123 153 181 194 207 216 210 183 149 130 125 125 126 133 152 170 172 158 134 112 106 136 174 184 172 163 179 216 240 247 244 239 241 237 218 219 229 223 175 107 56 26 13 11 14 24 57 103 142 161 152 127 111 96 82 69 56 47 38 31 27 25 26 31 34 32 24 13 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 1 2 3 3 3 6 11 15 17 19 21 21 23 29 36 42 48 53 60 66 68 79 109 133 121 92 67 49 34 15 7 2 0 0 0 0 0 0 1 2 6 10 11 12 13 17 22 25 28 32 33 34 34 34 34 37 41 45 49 53 58 60 60 59 57 55 52 52 50 49 47 45 44 42 40 38 36 35 33 32 32 30
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15 2 0 0 0 0 1 2 4 14 34 64 100 132 188 253 296 297 257 191 161 143 138 146 165 193 205 195 173 145 121 114 124 123 118 118 126 133 133 137 149 156 149 122 103 95 88 80 66 45 23 6 1 0 1 4 21 33 36 35 35 39 45 56 57 49 37 27 21 19 18 16 12 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 1 5 11 15 17 19 19 19 21 22 25 32 44 47 49 49 51 59 76 94 89 71 59 50 34 16 5 1 0 0 0 0 0 0 0 1 3 5 7 9 9 12 16 19 22 25 28 31 33 33 34 37 43 48 52 54 52 51 53 53 51 49 48 48 48 48 48 47 46 44 43 42 42 42 41 40 38 37
29 5 1 0 0 0 0 2 4 3 9 24 48 82 141 231 310 352 367 375 346 263 207 184 185 198 198 178 152 128 111 103 98 94 90 90 95 99 98 92 86 76 71 89 119 133 129 108 77 44 18 3 0 0 0 1 8 25 47 61 62 48 35 36 35 29 21 15 11 10 10 8 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 1 5 12 16 17 18 19 20 20 21 23 29 39 40 42 44 49 59 75 97 94 77 64 53 38 20 8 2 0 0 0 0 0 0 0 0 2 4 6 8 9 11 16 19 21 24 26 28 30 31 32 35 40 46 50 49 48 46 47 47 47 47 47 47 46 46 45 44 43 41 40 41 42 43 43 43 40 39
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20 19 23 16 3 1 4 13 24 21 7 4 5 16 42 77 102 120 138 164 196 213 211 198 179 157 134 110 88 65 38 14 3 2 6 10 14 18 21 31 29 33 42 49 48 47 49 43 31 17 6 0 4 10 15 29 65 130 180 163 99 37 13 7 6 4 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 1 4 11 16 18 19 19 19 20 22 24 25 27 31 34 39 44 52 67 88 106 109 100 82 62 43 26 14 10 6 3 1 0 0 0 0 0 1 2 3 5 6 7 11 16 18 20 21 22 24 26 28 30 31 32 32 32 36 36 37 39 41 42 44 37 35 33 32 30 29 29 31 36 40 42 43 43 42 41
19 54 69 42 1 0 2 12 19 10 2 1 2 10 22 33 31 32 46 70 100 125 143 148 142 127 105 82 60 42 27 21 23 22 11 3 2 2 3 6 2 0 1 1 1 0 1 3 3 3 4 6 11 14 16 26 49 83 96 77 40 13 4 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 1 3 5 11 14 15 17 18 19 20 23 23 25 27 31 34 39 45 51 65 87 109 120 112 91 64 40 21 10 5 3 2 0 0 0 0 0 0 0 1 2 2 3 5 9 13 15 16 17 18 20 22 24 25 25 26 27 28 30 32 33 34 35 35 36 29 28 28 28 28 27 27 31 36 39 41 41 41 41 42
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