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 6 7 7 8 7 7 7 7 7 7 8 8 8 8 7 6 6 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 5 5 5 5 3 3 4 4 5 5 6 6 6 5 5 5 5 6 8 9 9 8 8 7 6 6 5 5 5 6 6 6 5 5 4 3 3 4 5 7 8 8 8 7 6 5 6 7 9 11 12 12 12 11 10 10 10 10 9 7 5 6 10 17 23 28 31 29 25 20 16 11 9 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 nan
nan 7 7 8 8 7 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 8 7 6 6 6 7 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 7 7 6 6 5 5 6 6 6 6 6 6 5 4 4 4 5 6 7 8 8 7 6 5 5 6 8 10 12 12 12 12 11 11 11 10 9 7 5 6 9 14 21 26 29 28 24 19 14 11 9 8 8 8 8 7 7 6 6 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 nan
nan 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 7 7 7 6 6 6 7 7 7 6 6 6 7 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 8 8 8 7 8 9 10 10 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 6 6 5 4 4 5 6 7 8 7 6 5 4 5 6 9 10 12 12 12 12 11 11 11 9 8 6 6 7 11 16 21 23 23 19 15 11 9 8 8 8 9 9 8 7 7 6 6 5 5 6 7 8 8 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 nan
nan 7 7 7 8 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 8 10 11 11 10 9 8 8 7 8 8 9 10 10 8 8 9 11 12 12 11 10 9 8 8 7 7 7 8 8 7 7 7 6 5 5 5 5 6 7 6 6 5 4 4 5 7 9 10 11 11 12 12 12 12 10 9 7 7 7 9 12 14 16 16 14 12 9 8 8 8 9 9 9 9 8 7 7 7 6 7 7 9 10 10 9 8 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 nan
nan 7 7 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 7 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 9 9 8 7 6 5 5 6 7 9 10 9 9 8 7 7 7 7 7 8 9 9 8 8 10 12 15 16 14 12 10 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 5 5 4 4 5 6 7 8 9 9 10 11 12 12 11 10 9 8 8 8 9 10 10 11 10 9 8 8 8 9 9 10 9 8 8 7 7 7 7 8 9 10 10 10 10 9 8 7 6 6 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 nan
nan 7 7 7 7 7 6 5 5 6 6 6 6 6 6 7 7 7 8 8 8 8 7 8 8 8 8 8 7 6 5 5 5 5 5 6 7 7 7 7 7 8 8 8 8 7 7 6 7 8 8 8 8 8 9 9 8 8 8 9 9 8 7 5 5 5 5 6 7 7 7 7 6 6 6 6 6 6 7 8 8 7 8 9 12 16 17 16 12 10 9 8 8 9 9 10 10 9 9 8 8 8 8 7 7 6 6 5 5 4 4 4 4 5 6 6 7 7 8 9 11 12 12 12 11 9 8 7 6 6 7 7 8 7 7 7 8 9 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 9 7 6 6 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 5 5 5 nan
nan 6 6 5 6 6 5 5 5 6 7 7 7 7 7 7 7 8 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 6 6 7 7 8 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 7 6 5 6 6 6 6 6 5 6 7 8 8 7 7 7 7 8 10 14 16 15 12 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 7 6 5 5 5 4 4 4 4 5 5 5 5 6 7 9 11 12 12 12 11 9 8 6 5 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 10 9 8 6 6 5 5 5 5 4 4 3 3 3 3 3 4 4 4 5 5 4 4 4 4 5 5 5 5 6 6 nan
nan 6 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 7 6 6 6 6 7 7 8 8 9 9 9 8 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 7 7 6 6 7 7 8 8 9 9 10 10 10 8 6 6 6 7 8 7 6 6 7 8 9 9 7 7 6 6 7 9 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 8 7 6 6 6 5 5 4 4 5 5 5 5 4 5 7 10 11 12 12 12 10 9 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 8 9 11 12 12 11 9 8 7 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 nan
nan 6 5 5 6 6 6 6 7 7 7 7 7 8 8 9 9 9 9 8 8 7 8 8 8 8 8 7 7 7 8 8 8 9 10 10 10 9 8 7 7 7 7 8 8 9 9 10 9 9 8 8 9 9 9 8 8 7 7 8 8 9 10 11 11 10 9 7 6 7 8 9 9 8 8 9 10 10 8 7 7 7 8 9 9 8 8 7 8 8 9 9 9 8 8 8 9 9 10 10 10 10 11 11 10 10 8 7 7 7 7 6 6 5 5 5 5 5 4 4 6 8 10 12 13 12 12 10 10 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 11 13 14 13 12 10 9 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 nan
nan 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 8 7 7 7 8 8 9 9 9 8 8 8 7 8 8 8 9 10 10 9 8 8 8 7 7 8 8 9 9 9 9 9 8 8 9 9 10 9 8 8 8 8 8 8 9 10 10 11 10 8 7 6 7 9 10 9 9 10 10 10 8 7 7 8 9 10 9 7 6 5 5 6 7 8 8 8 8 8 9 10 10 10 10 10 11 11 11 10 9 9 8 8 8 8 7 7 6 6 6 6 5 4 5 7 10 12 13 13 13 12 11 11 11 12 12 12 11 9 9 8 9 9 9 9 9 9 8 7 7 7 7 7 7 8 9 11 13 15 14 13 12 10 8 8 7 6 6 5 6 6 6 6 6 6 6 5 5 5 5 6 6 6 5 5 4 4 4 5 nan
nan 6 6 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 8 7 7 8 8 9 9 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 9 9 9 10 9 8 7 7 8 8 9 9 9 10 9 8 7 7 8 9 10 9 7 5 5 5 6 6 7 7 8 8 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 7 6 5 5 6 9 12 13 14 14 13 12 12 12 12 12 11 9 8 8 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 9 11 13 15 15 15 13 11 9 8 7 6 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 nan
nan 6 6 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 7 7 7 8 8 9 9 9 8 7 7 8 9 9 7 6 5 6 6 6 6 7 7 8 8 9 10 10 11 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 6 5 7 10 12 13 14 14 14 13 12 11 11 9 8 7 7 8 9 9 9 10 9 9 9 8 7 7 7 7 7 7 7 8 10 12 14 15 15 14 12 10 8 7 6 5 5 5 5 6 6 7 7 6 6 5 5 5 5 5 5 4 4 4 4 5 6 nan
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nan 5 5 6 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 8 8 7 8 8 7 7 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 8 7 6 8 10 11 11 11 11 11 12 13 13 13 12 11 10 9 9 8 9 9 9 9 8 8 9 9 10 13 15 15 14 11 10 9 9 10 11 11 12 12 12 11 11 10 9 10 11 13 14 15 14 13 12 12 13 14 15 15 15 15 14 13 12 12 11 10 10 9 9 8 8 7 7 7 7 8 9 10 10 10 10 9 9 9 8 8 8 8 9 9 10 10 10 10 11 11 10 9 8 8 8 8 9 10 11 11 11 11 12 12 12 nan
nan 5 5 5 6 7 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 10 10 9 8 8 10 11 12 12 11 11 10 10 9 8 8 8 9 9 8 8 8 9 9 9 8 9 9 9 10 13 15 14 12 10 9 9 9 11 12 13 14 14 14 13 11 11 10 11 12 13 14 14 13 12 12 12 13 14 14 14 14 13 12 12 11 11 11 11 11 11 11 11 10 9 8 7 7 8 8 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 9 9 9 11 12 12 13 13 13 13 13 12 nan
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nan 6 6 6 7 8 8 8 8 9 9 9 8 8 8 7 7 6 7 7 8 8 8 7 6 6 6 7 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 7 7 7 6 6 7 8 9 9 8 7 7 7 7 7 7 7 7 8 8 10 10 10 9 8 9 11 14 16 16 15 13 12 9 7 6 7 11 17 21 24 25 25 25 24 23 23 22 20 18 17 16 15 14 13 11 10 9 8 8 8 8 8 9 9 10 12 13 15 17 18 18 17 16 13 10 9 7 7 6 7 7 7 6 6 6 6 6 6 6 6 7 7 8 9 9 10 10 11 12 13 14 16 17 17 16 14 12 9 7 6 nan
nan 6 6 7 7 8 7 7 7 8 9 8 8 8 8 7 7 8 8 8 8 8 8 8 7 6 7 7 8 9 8 8 8 8 9 8 8 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 5 6 6 6 6 7 8 8 8 8 8 8 7 6 5 6 7 8 9 10 11 11 9 8 8 9 11 12 14 15 14 13 12 10 6 4 3 7 12 18 23 26 28 29 30 30 29 27 26 24 21 19 17 15 13 11 10 9 8 8 8 8 8 9 9 10 11 13 15 17 18 19 19 18 15 11 9 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 8 9 10 11 12 13 14 15 16 17 16 14 12 9 6 5 5 nan
nan 7 7 7 8 8 7 7 7 7 7 7 8 8 8 7 8 8 8 8 9 9 9 8 7 7 7 8 9 9 8 8 7 7 8 8 8 7 6 6 7 7 7 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 7 6 6 5 5 5 6 6 7 7 7 7 8 8 8 8 7 6 4 4 6 8 9 9 10 10 9 8 8 8 9 10 11 12 13 12 11 10 8 5 3 1 2 6 11 16 22 26 28 29 30 29 28 27 26 24 20 18 16 14 12 11 10 9 8 8 8 8 9 9 10 11 12 14 15 17 18 17 16 13 10 8 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 7 9 10 11 12 13 14 15 16 16 14 12 9 6 5 5 5 nan
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nan 9 8 8 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 9 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 7 7 7 7 8 8 8 8 9 10 11 11 12 11 11 10 10 10 10 9 9 8 8 8 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 7 6 5 5 6 7 7 8 8 8 8 7 6 7 8 9 9 9 9 10 10 10 9 8 8 8 7 5 2 -0 0 1 4 6 9 10 11 13 14 15 15 15 14 13 12 11 11 11 10 10 9 9 8 8 8 8 8 9 10 11 12 13 13 13 12 10 9 8 7 7 7 7 7 6 7 7 7 7 6 6 5 5 5 5 7 8 9 11 12 12 13 14 14 13 12 10 8 6 5 5 5 5 nan
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nan 9 9 9 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 6 6 7 8 8 9 9 10 10 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 11 11 11 11 11 10 9 9 8 7 7 8 9 9 9 8 7 7 7 8 8 9 8 8 8 9 9 10 10 10 11 11 10 10 10 11 11 11 11 11 11 11 10 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 9 9 7 7 6 6 6 6 5 6 7 7 8 8 9 9 10 10 9 9 9 10 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 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 8 9 nan
nan 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 11 10 10 10 9 9 10 11 11 11 12 12 11 12 12 11 11 11 11 10 9 8 7 7 8 8 9 9 9 8 8 7 7 7 8 8 7 7 7 8 8 9 9 10 10 11 10 10 10 10 10 11 11 11 11 11 10 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 8 8 7 7 6 6 6 6 6 6 6 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 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 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 10 11 11 11 11 10 10 10 9 10 9 9 10 10 11 11 11 12 12 12 12 11 10 9 8 9 9 10 10 9 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 7 7 6 6 5 5 6 8 9 10 10 10 9 9 8 9 9 9 9 10 11 11 10 9 9 9 9 9 9 10 10 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 8 8 8 nan
nan 7 7 8 8 8 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 8 8 8 8 8 7 7 7 7 6 7 7 7 8 8 9 10 10 10 10 10 9 9 9 8 8 9 9 9 10 11 12 12 13 12 12 10 10 9 10 10 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 9 10 10 10 9 9 8 7 7 6 6 5 6 7 8 9 10 9 9 8 8 8 9 9 10 11 11 11 11 10 9 9 9 8 8 9 9 9 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 nan
nan 8 8 8 8 8 7 8 8 9 9 9 9 9 9 8 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 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 12 12 12 11 10 10 10 10 11 11 11 10 10 9 9 9 10 10 10 10 11 11 10 10 10 10 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 9 9 9 9 9 9 9 8 8 7 6 6 6 7 8 8 9 9 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 10 10 10 9 9 8 8 9 9 9 8 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 nan
nan 9 9 9 9 8 7 7 8 8 9 9 8 8 8 8 8 9 9 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 11 10 10 10 10 10 11 11 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 10 9 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 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 12 13 13 13 13 13 11 10 10 10 11 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 9 9 9 10 9 8 7 7 8 9 9 8 8 8 8 8 9 10 10 10 9 8 8 8 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 8 8 8 9 9 9 9 9 9 9 9 10 11 12 12 11 11 10 9 8 8 9 9 9 9 9 10 11 11 10 10 10 10 11 11 12 11 10 8 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 12 13 14 14 14 13 12 12 12 12 12 11 10 9 8 8 7 7 6 6 6 6 6 6 7 7 6 6 7 8 8 8 8 8 nan
nan 10 10 10 10 11 10 9 8 8 8 8 8 8 7 7 8 9 10 10 10 9 9 8 8 8 8 9 9 9 9 8 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 9 10 10 9 9 9 9 9 9 9 10 9 9 9 9 9 10 11 11 11 10 9 8 6 4 3 4 5 6 6 7 8 9 10 10 10 10 9 10 10 10 9 8 8 7 7 8 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 12 12 12 12 11 12 12 12 12 12 11 11 10 10 9 7 7 7 6 6 6 6 7 6 6 7 7 8 8 9 9 9 nan
nan 11 10 10 11 11 11 11 9 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 8 7 6 7 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 10 9 8 7 6 6 5 4 2 -0 -0 1 2 3 3 3 5 7 9 10 10 10 9 9 8 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 8 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 10 8 8 8 8 7 6 6 6 6 6 7 7 8 8 9 9 9 nan
nan 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 7 3 2 3 4 6 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 10 10 10 10 9 7 5 3 3 4 5 4 4 2 2 2 2 1 -0 -1 -1 2 6 9 10 11 10 9 7 7 7 7 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 8 8 9 9 9 9 10 11 11 10 10 10 9 9 9 10 10 10 9 8 8 8 8 8 8 9 9 10 11 11 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 10 11 11 10 9 9 10 9 8 7 6 6 7 7 8 8 8 9 9 9 9 nan
nan 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 10 11 10 7 3 0 -1 -1 1 4 7 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 8 5 5 5 6 7 8 8 8 7 6 5 3 1 -2 -3 -2 1 4 6 7 8 8 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 10 9 9 8 8 7 8 9 9 10 10 11 11 11 10 10 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 10 10 9 9 9 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 8 8 8 8 8 10 11 12 11 9 6 3 -0 -2 -3 -1 3 6 8 10 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 9 10 12 14 14 12 11 12 13 13 13 13 12 10 9 8 6 3 1 -1 -1 -1 -0 0 2 2 3 4 6 7 7 7 8 8 8 9 9 9 10 10 10 11 11 10 9 9 8 8 7 7 7 7 7 8 8 10 11 11 10 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 10 11 10 10 9 9 8 8 9 10 11 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 11 10 9 9 8 9 9 9 9 9 9 nan
nan 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 10 12 13 12 11 9 8 6 4 -0 -3 -4 -2 1 6 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 10 9 9 10 13 16 19 20 19 18 18 19 19 18 15 13 10 8 7 5 4 2 2 1 -0 -1 -1 -1 -1 0 1 2 3 5 7 8 8 8 9 9 9 9 10 10 11 10 9 8 8 8 7 7 7 7 7 8 9 10 11 12 11 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 10 10 9 8 8 7 8 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 12 12 11 9 8 8 8 8 8 8 9 9 nan
nan 12 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 9 8 7 7 7 8 10 13 14 13 11 10 9 8 6 4 0 -3 -5 -3 2 7 9 9 9 10 10 11 10 10 10 10 10 10 10 10 9 9 9 8 9 9 10 10 11 13 16 18 19 20 19 18 19 21 21 20 17 13 10 8 7 6 5 5 4 3 2 2 2 1 0 -1 -2 -2 0 3 6 7 7 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 11 12 12 12 12 11 10 10 9 8 7 7 8 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 10 11 12 12 10 8 8 8 8 8 8 8 8 8 nan
nan 13 13 13 12 12 11 11 10 10 10 11 11 11 11 10 10 9 8 8 7 7 8 11 13 14 13 11 10 9 9 8 7 4 -0 -4 -4 -1 4 8 8 8 8 9 10 10 10 9 10 10 11 10 10 10 10 9 8 8 9 10 11 12 13 13 14 15 16 16 14 14 17 19 21 21 19 16 13 10 8 8 8 8 7 7 6 6 6 4 1 -2 -3 -4 -2 -0 2 4 6 8 9 9 9 9 8 8 7 7 7 7 8 8 8 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 8 7 8 8 9 11 13 14 14 14 12 11 10 9 8 7 7 8 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 nan
nan 14 14 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 9 8 8 7 8 11 12 13 13 12 11 10 9 9 8 7 3 -2 -4 -2 2 6 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 11 12 12 12 12 12 13 14 13 11 9 9 11 15 20 21 21 19 16 14 12 12 12 12 12 11 10 9 8 6 3 1 -1 -3 -3 -3 -2 0 4 7 8 9 9 8 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 11 10 9 8 7 7 8 9 11 14 15 15 14 13 12 11 10 8 8 8 8 9 9 10 10 10 9 9 9 10 10 10 10 10 10 11 12 13 13 11 10 9 8 8 8 8 8 8 7 7 7 7 nan
nan 14 14 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 9 9 8 9 11 12 12 12 11 11 11 10 10 10 9 5 0 -3 -3 0 6 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 13 15 15 11 7 5 5 8 13 18 20 22 22 21 18 17 16 15 15 14 12 11 10 9 7 5 4 2 0 -2 -4 -5 -3 -1 2 6 8 8 8 8 8 9 10 10 11 11 11 11 10 9 9 9 11 12 12 12 11 10 10 10 10 9 10 10 9 9 9 9 10 10 9 8 7 7 7 7 8 11 13 15 15 14 13 12 11 10 9 8 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 11 12 15 17 16 13 10 8 7 7 7 8 8 7 7 7 7 7 nan
nan 14 14 13 13 13 13 12 12 12 12 12 11 11 10 10 10 9 9 10 10 10 11 12 13 12 11 11 11 11 11 11 11 10 8 3 -2 -4 -2 4 8 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 10 9 9 10 13 16 17 14 10 6 5 6 9 12 15 18 21 23 22 21 19 18 17 16 15 14 14 14 13 11 9 7 5 3 0 -3 -5 -6 -5 -2 3 7 8 10 11 11 11 11 11 12 11 11 10 9 8 9 11 12 13 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 11 13 15 14 13 13 12 11 9 9 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 11 11 12 15 18 18 16 12 9 7 7 7 8 8 7 7 7 7 7 nan
nan 13 13 14 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 12 13 14 13 12 11 11 12 12 12 12 11 10 6 1 -5 -4 1 6 9 10 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 10 12 15 16 14 12 10 9 8 8 9 10 12 15 18 20 20 20 19 18 18 18 17 17 19 20 19 15 12 10 9 7 4 0 -3 -6 -7 -4 0 5 10 13 13 12 12 11 11 11 11 10 9 9 11 12 13 14 14 13 12 12 11 10 8 7 8 9 10 11 10 9 9 9 8 8 7 7 7 9 11 13 14 14 13 12 11 10 9 8 8 8 9 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 12 14 15 16 14 11 8 7 7 7 7 7 7 7 7 7 nan
nan 12 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 11 12 13 13 13 12 11 11 12 12 12 11 11 11 9 3 -3 -4 -1 4 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 9 11 13 13 13 12 12 11 10 9 8 8 9 10 11 13 15 16 15 15 15 16 16 16 19 22 23 22 19 16 15 14 13 11 7 3 -1 -3 -1 4 9 13 14 13 12 12 12 12 11 11 10 11 13 14 15 16 15 13 12 12 11 10 9 8 8 10 11 11 11 10 9 9 8 7 7 8 9 10 11 13 14 14 13 12 10 9 9 9 9 9 10 10 10 11 10 10 10 10 9 10 10 10 11 11 11 10 10 10 13 15 14 11 8 7 7 7 7 7 7 7 7 7 nan
nan 11 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 6 0 -1 1 4 7 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 10 11 11 11 11 11 11 10 9 9 8 8 7 7 8 8 9 9 9 10 10 10 11 14 17 20 21 21 19 18 17 19 19 17 14 11 8 7 8 10 12 12 12 12 13 13 14 14 14 14 14 14 15 16 16 15 13 12 12 12 11 10 10 10 10 11 11 11 10 10 9 8 7 8 9 10 11 12 13 14 14 12 10 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 9 10 10 11 11 11 10 9 11 14 17 16 12 8 7 7 7 7 7 7 7 7 7 nan
nan 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 14 14 14 13 12 11 11 11 11 11 11 11 11 11 9 5 3 4 6 8 8 8 9 9 9 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 9 9 10 10 11 11 11 10 8 7 7 8 8 7 6 6 6 6 6 6 6 7 7 8 10 12 14 15 16 16 15 15 16 18 19 18 16 14 12 12 12 12 11 11 11 11 12 13 15 15 15 14 14 14 15 14 13 12 11 11 11 11 11 11 11 11 11 10 11 10 10 9 8 7 8 9 9 10 11 12 13 13 12 10 9 9 10 9 9 9 10 11 12 12 12 11 10 9 9 9 10 11 11 11 10 10 10 12 16 18 19 14 9 8 7 7 7 8 7 7 7 7 nan
nan 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 12 11 11 11 11 11 12 14 14 14 13 12 12 11 11 11 11 12 12 12 10 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 9 10 10 10 10 10 9 9 8 9 10 10 11 13 13 10 6 3 3 4 6 6 6 6 6 7 7 6 6 6 7 8 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 9 9 9 10 11 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 9 8 7 8 8 8 8 9 9 10 11 10 10 10 10 10 9 9 9 9 11 12 12 13 12 10 9 9 9 10 11 11 11 10 9 10 12 15 19 21 18 13 10 8 8 8 8 7 7 7 7 nan
nan 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 12 12 11 10 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 10 11 14 16 12 6 1 -2 -1 2 4 5 6 7 7 8 7 6 6 6 8 9 9 9 9 8 9 9 9 8 6 5 4 5 7 8 9 10 10 10 9 8 7 7 7 7 8 8 8 9 10 9 8 7 8 8 9 9 10 10 10 10 11 11 11 11 10 10 9 8 7 7 7 7 7 7 8 9 9 9 9 9 10 10 9 8 8 9 10 12 12 13 12 10 9 9 9 10 11 11 11 10 10 10 10 12 17 21 20 17 12 9 8 8 8 8 7 7 7 nan
nan 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 13 12 11 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 12 16 17 14 9 2 -3 -4 -3 -1 3 6 7 7 8 8 8 7 6 7 8 10 10 10 9 10 10 9 7 4 0 -1 -0 1 2 4 5 5 5 6 6 6 5 5 6 6 6 7 8 9 7 5 4 4 5 6 8 9 9 9 10 10 11 11 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 9 8 7 8 10 11 12 12 11 10 10 9 9 10 11 11 11 10 10 10 10 10 14 19 21 21 16 11 9 8 8 8 7 7 7 nan
nan 9 9 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 14 16 15 14 13 12 12 12 12 12 13 12 11 9 8 10 11 13 14 14 14 13 12 11 10 10 10 10 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 9 9 10 13 17 18 16 11 4 -1 -4 -5 -4 0 5 6 7 8 10 10 9 8 7 8 10 11 11 11 12 14 14 13 9 5 2 -0 -1 -1 -1 -0 -1 -0 1 2 4 5 5 6 6 7 8 9 9 9 7 4 2 3 4 6 8 9 9 9 10 11 11 10 10 9 9 8 8 7 7 6 6 6 6 5 5 6 7 9 10 10 10 9 8 8 9 11 12 12 11 11 10 9 10 10 11 11 11 10 10 10 10 10 12 15 20 22 19 15 11 9 8 8 8 7 7 nan
nan 8 9 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 11 12 14 16 17 15 14 13 12 12 12 13 13 12 10 7 6 7 8 10 12 13 14 14 14 13 11 10 10 10 11 11 12 11 11 10 10 10 10 9 9 9 9 10 10 9 9 11 14 17 17 15 9 5 1 -2 -4 -4 -1 4 6 7 8 10 11 11 10 9 9 10 11 11 12 14 17 20 20 18 15 11 6 3 2 2 1 0 -1 -1 1 3 4 6 6 7 7 8 9 9 10 10 8 6 4 3 3 4 6 8 9 10 10 10 10 10 9 9 9 8 8 7 6 6 6 5 5 5 6 7 9 10 10 10 9 9 8 9 10 11 12 12 11 10 10 10 11 11 11 11 10 10 10 10 10 10 12 18 22 22 19 14 10 9 8 8 8 7 nan
nan 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 15 16 16 15 14 13 13 13 13 13 12 10 7 6 7 8 9 10 11 13 14 14 13 12 11 10 10 10 11 12 12 12 12 12 12 10 8 7 6 7 8 9 9 9 11 15 17 17 12 7 5 3 1 -1 -2 1 4 7 8 8 9 10 11 10 10 9 10 10 11 11 13 15 19 22 22 22 20 16 11 8 7 6 5 4 3 3 4 5 5 6 6 6 7 8 9 10 10 10 9 8 4 1 1 3 6 9 9 9 9 10 9 9 10 10 9 9 8 7 7 7 7 7 7 8 9 10 10 10 10 10 9 9 8 9 11 12 12 11 10 10 10 11 11 11 11 10 10 10 10 10 10 11 15 20 22 22 18 12 10 9 9 8 8 nan
nan 10 10 11 11 11 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 12 14 15 16 15 14 13 13 13 13 13 12 9 6 6 7 9 10 10 11 12 13 13 13 13 12 12 11 11 11 11 12 13 14 15 16 13 8 5 2 2 4 7 8 9 12 16 17 16 11 7 6 5 4 2 1 3 6 8 8 8 8 8 9 10 9 9 10 10 10 11 12 13 15 18 20 23 24 23 19 16 13 11 9 8 7 6 6 5 5 5 6 6 7 7 8 10 11 11 11 10 6 2 0 2 6 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 9 8 8 9 10 11 12 11 10 10 10 10 11 11 10 10 9 9 10 11 10 11 13 16 22 24 22 17 13 12 12 11 9 nan
nan 11 11 12 12 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 12 13 15 15 15 14 13 13 13 13 13 12 8 6 5 6 8 10 11 12 13 13 13 12 12 12 13 13 13 12 11 12 13 16 19 21 18 13 7 1 -2 -1 3 5 8 12 16 17 15 11 9 8 8 6 3 2 4 7 9 9 8 7 7 8 9 9 9 10 10 10 10 11 13 14 16 17 19 21 23 22 21 18 16 14 13 13 12 11 9 8 7 7 8 8 9 10 12 13 13 12 11 8 4 1 2 5 8 10 10 11 11 11 11 11 10 10 9 9 9 10 12 13 13 12 12 12 12 12 12 11 11 9 8 8 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 13 18 22 21 19 17 17 18 16 13 nan
nan 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 12 13 14 15 15 14 13 13 13 13 13 13 10 7 5 6 8 10 12 13 14 14 13 11 10 10 12 13 14 13 12 12 13 15 20 23 22 19 14 5 -3 -4 -2 1 5 10 13 14 13 11 10 10 10 7 4 2 4 7 10 10 9 8 8 8 9 9 9 9 9 10 10 11 13 15 15 15 15 16 17 18 19 19 17 16 16 18 18 17 15 14 12 12 12 12 11 13 16 17 16 14 12 9 4 2 2 6 8 10 11 12 12 12 11 10 10 9 8 8 8 10 12 13 12 11 10 11 11 12 13 12 11 9 7 7 8 10 11 11 11 10 10 10 9 9 8 9 9 9 9 9 10 11 11 11 11 14 16 16 16 17 19 20 19 18 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
6 7 8 8 9 8 8 7 8 8 9 9 11 13 13 9 8 9 9 10 11 11 10 10 8 7 6 5 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 1 0 0 0 0 0 0 2 3 3 1 0 0 0 0 0 0 2 6 12 22 38 61 85 119 201 241 304 395 495 597 710 752 785 815 781 720 628 510 450 425 368 364 427 549 679 757 786 805 806 713 522 373 333 359 408 453 438 387 329 324 395 487 499 404 432 540 583 605 612 538 324 161 97 58 40 33 26 22 27 35 40 43 46 51 53 50 46 40 31 21 16 15 15 14 13 11 8 7 10 15 27 45 56 56 50 44 35
6 7 7 9 9 8 7 8 8 8 8 9 11 11 10 9 9 9 10 11 12 12 11 10 9 8 6 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 2 3 3 2 1 0 0 0 0 0 1 4 12 25 45 73 84 133 206 283 361 451 545 660 679 722 779 811 785 710 592 550 499 450 425 475 607 734 751 706 685 679 638 537 472 509 586 604 555 494 426 367 346 376 446 477 394 461 577 688 724 645 576 525 353 209 114 68 54 50 47 44 50 57 60 60 61 61 61 60 58 47 33 24 24 26 27 25 21 16 18 21 27 42 59 64 63 59 53 46
6 7 8 9 9 8 7 8 9 8 8 7 8 9 8 10 10 10 12 13 12 11 10 10 9 8 5 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 0 0 0 1 1 1 0 0 1 0 0 0 0 1 2 1 0 0 0 0 1 1 2 4 5 2 0 0 0 0 0 0 1 5 16 28 43 58 88 140 209 284 360 449 543 590 634 696 746 751 747 656 579 532 486 436 453 593 735 749 687 622 597 587 570 595 688 719 640 584 527 485 449 395 381 420 380 361 418 567 734 757 588 469 507 496 387 241 134 93 72 60 61 68 75 77 76 73 73 77 73 65 52 40 36 37 42 47 51 50 41 39 44 50 64 72 72 72 71 67 63
5 7 8 9 8 8 7 8 9 8 8 7 8 10 11 11 11 11 11 10 9 8 8 9 6 5 4 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 1 2 2 1 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 1 2 4 8 8 4 3 1 1 1 0 0 0 0 13 19 27 36 52 81 125 174 247 333 418 472 509 572 673 733 758 710 632 574 530 486 483 599 695 697 634 566 539 525 506 539 642 631 626 628 621 594 530 426 458 461 423 414 471 596 705 705 666 623 591 693 668 477 303 181 109 87 81 84 88 89 89 100 106 94 81 71 61 53 54 56 64 74 84 89 84 72 66 74 86 87 89 91 89 85 83
5 7 8 8 8 7 7 7 7 7 7 7 7 9 11 12 12 12 10 7 4 4 5 5 3 2 2 2 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 14 16 15 11 7 5 4 2 0 0 0 6 10 14 20 29 46 80 114 165 230 296 339 376 455 556 620 698 736 760 759 706 621 542 544 602 623 597 560 529 494 448 413 475 498 590 685 690 620 503 490 547 555 534 532 586 673 725 740 699 760 878 972 866 606 457 311 188 134 115 107 106 105 99 112 101 90 91 91 85 79 75 80 91 98 105 114 116 103 86 85 89 97 108 112 109 111 115
5 6 7 7 7 6 6 5 5 5 6 7 8 10 10 11 11 9 6 4 2 2 3 2 1 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 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 2 4 7 13 24 28 25 20 15 11 8 6 3 2 0 1 4 7 11 19 35 62 82 106 140 185 226 255 318 383 457 582 717 880 991 956 805 610 527 547 582 592 574 535 482 430 393 410 438 504 599 658 600 494 549 638 676 655 634 673 738 831 888 776 815 1088 1199 895 575 438 354 279 215 172 147 137 139 128 121 115 112 110 106 101 97 99 105 113 120 126 138 152 131 108 97 101 113 126 132 129 143 153
6 6 6 6 5 5 4 4 5 5 6 6 7 9 8 7 8 6 4 4 3 3 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 0 0 0 1 2 2 2 1 1 1 1 1 1 1 0 0 2 3 3 2 2 2 2 3 8 15 17 20 24 29 29 26 19 13 9 9 6 4 1 1 3 6 11 20 34 51 63 73 87 111 133 151 189 251 319 430 577 758 937 1039 1002 788 639 583 581 597 615 601 515 448 423 422 438 479 538 626 546 514 587 696 748 721 676 658 684 813 976 1027 1076 1176 1173 849 625 433 320 269 239 216 218 192 180 166 150 138 134 126 118 119 122 124 128 136 142 145 154 179 144 128 130 140 153 143 145 163 180 191
5 5 5 4 4 3 3 4 4 4 3 4 4 4 4 4 3 3 3 5 5 5 4 3 3 3 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 1 1 1 1 0 1 2 2 2 2 2 2 1 1 2 3 3 3 3 4 7 13 18 17 19 21 24 25 24 20 13 10 10 7 5 3 2 4 9 17 23 30 37 45 55 65 75 82 90 105 147 205 285 381 487 620 838 979 886 745 644 579 564 718 694 534 420 405 443 475 519 521 541 545 563 624 700 738 723 696 649 597 671 758 757 804 881 993 763 656 515 360 246 213 225 263 236 214 195 179 169 162 144 133 129 119 121 140 155 167 166 167 176 172 166 172 186 195 192 211 230 241 253
5 7 8 7 8 5 3 3 3 3 3 2 1 0 1 1 3 5 7 7 6 4 3 2 2 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 1 1 2 3 2 3 3 2 1 0 1 1 2 3 5 7 12 14 12 13 13 12 13 14 14 9 8 10 7 7 10 10 11 19 24 22 22 24 30 40 52 60 62 65 70 87 117 156 203 245 322 503 695 793 803 734 580 545 683 627 482 386 379 433 505 561 566 561 581 611 649 699 730 739 730 661 552 519 518 437 355 457 652 670 614 538 458 336 229 226 229 232 231 216 191 178 152 142 139 133 127 132 154 175 191 184 176 174 178 187 209 227 244 272 302 310 309 314
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