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 7 7 8 8 8 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 7 7 8 8 8 7 6 7 7 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 9 9 8 8 8 8 7 7 7 7 6 5 4 7 10 11 8 5 4 4 4 5 5 5 5 6 6 6 6 7 8 9 10 10 9 9 10 10 10 9 8 8 9 10 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 12 14 17 22 27 34 39 41 39 30 19 10 6 5 3 3 3 3 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 7 7 6 6 7 8 8 7 6 6 6 7 7 8 7 7 7 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 9 9 9 8 7 7 7 7 8 8 7 6 5 6 7 10 10 8 5 4 4 5 5 5 5 5 6 6 6 6 7 8 10 11 10 10 10 10 11 10 10 8 8 10 10 9 8 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 11 13 16 20 25 32 38 42 45 40 29 18 10 6 4 3 3 3 3 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 nan
nan 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 8 8 9 9 9 7 7 6 6 7 7 7 6 6 6 7 7 8 9 8 6 5 5 5 5 5 5 6 6 6 6 6 7 8 10 11 11 11 11 11 11 11 10 9 9 9 9 8 7 6 6 5 5 5 5 6 7 7 8 8 9 9 8 8 9 9 10 11 13 17 22 27 33 40 44 43 36 26 16 9 5 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 8 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 6 6 5 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 7 6 6 5 6 6 6 6 6 6 7 8 7 7 8 8 7 6 6 6 6 5 5 6 6 7 7 7 8 9 11 12 12 12 12 12 12 12 10 9 9 9 8 7 6 6 5 5 5 5 5 6 6 7 8 9 9 9 9 9 9 10 10 12 13 17 21 26 31 36 39 35 27 19 12 7 4 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 nan
nan 7 7 7 7 7 7 6 7 7 7 7 7 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 7 7 6 7 7 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 7 7 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 7 8 8 7 7 8 9 9 8 7 7 6 6 6 6 7 7 8 8 9 10 11 12 12 12 13 13 14 12 11 9 8 8 7 7 6 6 5 5 5 5 5 6 6 7 8 9 9 9 10 10 10 10 11 12 13 15 18 21 25 27 27 23 17 11 7 4 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 nan
nan 7 6 6 7 7 6 7 7 7 7 7 8 8 8 7 7 7 8 8 9 8 7 7 7 7 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 7 8 8 8 9 9 9 8 7 7 6 7 7 8 8 8 9 11 12 12 12 12 13 14 14 14 12 9 8 7 6 6 6 6 6 6 6 6 6 6 6 7 8 9 10 10 10 10 11 11 11 11 12 12 13 15 16 16 15 12 9 6 4 2 2 1 1 2 2 2 3 4 5 5 6 6 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 7 nan
nan 7 6 6 6 7 6 7 7 7 8 7 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 7 7 6 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 8 8 8 8 8 8 9 9 10 11 12 12 12 12 13 14 14 13 10 8 7 7 7 7 7 7 7 7 7 6 6 6 7 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 7 5 4 3 2 2 2 2 1 1 2 2 3 4 5 6 6 7 7 7 6 5 4 4 5 5 5 5 4 5 5 5 5 4 4 4 4 5 5 5 5 6 6 5 6 6 6 nan
nan 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 7 6 7 7 8 8 7 7 7 7 7 8 8 7 6 5 5 5 6 7 7 8 8 7 7 6 6 6 6 6 7 7 7 7 7 8 9 8 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 10 10 10 10 9 8 8 8 9 10 11 12 12 12 12 13 14 14 13 12 10 9 8 8 8 8 8 8 8 7 7 7 7 8 9 10 11 12 12 11 11 11 11 11 10 10 8 7 6 5 4 3 2 2 2 2 3 3 3 3 3 3 4 4 5 6 7 8 8 8 7 6 5 5 5 5 5 5 5 4 4 5 5 4 4 4 5 5 5 5 5 5 6 5 5 5 5 nan
nan 7 6 6 6 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 8 7 6 5 6 6 6 6 5 5 5 6 7 7 6 6 5 4 4 5 7 8 9 8 7 6 6 6 7 8 8 8 8 8 8 9 9 10 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 8 9 10 10 11 12 12 13 13 14 14 14 13 12 11 10 9 9 9 10 10 9 8 7 8 8 9 10 11 12 12 12 12 11 12 12 12 11 10 8 6 5 4 3 2 2 2 2 3 4 4 5 5 5 5 6 6 6 7 8 8 9 8 8 7 7 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 6 6 5 5 5 5 6 7 7 6 7 7 8 8 9 9 9 8 7 7 8 8 8 7 6 5 5 5 4 4 4 5 5 6 6 6 6 6 6 5 4 5 7 8 8 7 6 5 6 7 8 9 9 10 9 9 10 10 10 10 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 9 9 8 8 7 8 8 9 8 8 9 9 9 10 10 10 8 7 7 8 8 9 10 11 12 13 13 14 14 15 15 15 14 13 12 11 11 10 10 10 9 8 8 9 9 10 11 12 13 12 12 12 12 12 12 12 12 11 9 8 6 5 5 4 3 3 4 5 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 nan
nan 4 5 6 5 4 4 4 5 6 6 6 6 6 6 7 8 9 9 8 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 7 6 6 6 6 6 6 5 6 8 8 7 6 5 5 6 6 7 8 8 9 9 10 11 11 11 11 11 10 10 9 9 8 7 6 7 8 8 9 9 9 9 9 9 8 8 8 8 9 9 8 8 9 9 8 9 9 8 7 7 6 6 7 8 10 11 12 13 14 15 15 16 16 16 16 15 14 13 11 11 11 10 9 9 9 10 10 11 12 12 12 12 12 12 11 12 12 12 12 12 11 10 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 7 7 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 nan
nan 3 4 5 5 4 5 4 4 4 5 5 4 4 4 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 7 6 7 8 8 7 7 8 9 8 7 6 5 5 6 6 6 7 6 7 8 10 11 11 11 11 10 9 9 9 8 8 7 7 7 8 9 9 10 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 6 5 4 4 5 8 10 12 13 14 15 16 16 16 16 15 15 14 13 12 12 12 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 nan
nan 3 3 4 5 5 6 5 4 4 4 4 4 5 6 6 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 8 8 7 8 8 9 9 8 8 8 8 8 7 6 5 6 6 7 7 6 6 7 8 10 11 11 10 10 9 8 8 8 8 7 8 8 8 9 9 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 7 6 5 3 1 2 5 8 10 12 13 14 15 15 15 14 14 13 13 13 13 13 13 14 13 12 12 12 13 13 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 14 13 13 13 13 12 12 12 12 11 11 12 12 12 12 12 11 10 9 9 8 8 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 nan
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nan 5 4 4 6 6 6 7 7 8 8 9 10 10 10 11 11 12 12 11 9 8 8 9 9 9 9 8 9 9 8 8 7 7 6 6 7 8 9 9 8 7 6 5 5 4 5 5 6 7 8 8 8 8 9 9 9 10 11 10 9 8 8 8 7 6 7 8 9 9 9 8 8 7 6 7 8 9 10 9 8 8 9 9 9 9 9 10 10 10 8 8 8 8 8 7 5 3 2 2 4 7 10 11 12 12 12 11 12 12 13 13 14 14 15 15 14 14 13 13 13 13 13 13 14 14 14 13 13 13 14 14 14 13 13 11 10 10 9 9 9 10 10 10 11 10 10 10 10 10 10 10 11 11 12 13 14 14 13 12 11 11 10 10 10 9 8 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 nan
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nan 8 7 7 8 9 10 11 11 11 10 9 8 8 8 9 12 14 14 13 12 11 10 10 10 9 9 9 9 9 9 8 7 7 8 8 8 8 8 7 6 6 5 4 5 6 8 9 9 8 8 7 7 7 7 8 9 10 10 9 8 8 7 7 7 8 9 8 8 7 6 5 5 6 7 8 8 8 7 7 7 8 9 10 10 10 10 11 10 9 8 8 9 10 9 9 8 8 6 4 3 4 8 11 13 14 13 13 12 12 12 13 13 12 12 12 11 10 9 9 9 8 8 8 7 7 6 6 7 7 7 8 10 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 11 13 14 15 16 16 15 14 13 13 12 11 11 10 10 9 7 6 5 5 4 5 5 5 5 5 5 4 4 5 5 5 nan
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nan 15 13 11 9 8 7 7 7 7 8 8 7 7 7 8 10 10 10 10 10 10 9 8 8 7 7 7 8 9 10 10 9 9 9 9 10 10 10 7 5 5 6 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 5 4 4 4 5 6 8 9 10 10 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 8 5 3 -0 -3 -5 -6 -8 -8 -5 -2 2 5 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 6 6 7 7 9 10 11 12 13 14 15 15 15 15 15 14 14 13 12 12 11 11 11 11 10 10 10 10 10 9 9 8 7 6 nan
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nan 11 10 9 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 9 9 10 9 9 7 5 5 6 7 9 11 12 12 13 13 11 9 7 6 6 7 8 9 9 9 8 8 9 10 11 11 11 10 10 12 13 12 11 9 9 9 9 9 10 10 10 10 10 11 12 12 11 9 8 8 9 9 9 8 7 7 6 6 6 8 9 9 8 8 7 8 8 8 8 8 7 5 2 -1 -3 -3 -2 -0 2 3 3 3 3 3 3 4 5 6 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 9 9 10 11 12 12 13 13 13 13 12 11 10 9 8 nan
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nan 9 8 7 7 6 7 7 7 7 7 6 7 6 6 7 8 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 9 10 10 11 10 11 13 14 14 14 12 10 10 10 9 7 7 8 9 10 10 9 9 8 9 9 10 10 12 13 14 14 15 15 15 15 13 11 10 10 10 10 10 11 11 11 12 13 13 12 10 9 8 8 8 8 7 7 6 6 6 7 8 9 9 8 8 7 7 7 7 8 9 9 9 8 8 7 6 5 3 0 -1 -2 -1 0 1 1 1 0 0 2 4 5 6 7 7 8 9 10 10 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 11 10 10 9 nan
nan 8 8 7 7 7 8 8 7 7 6 6 6 6 5 5 7 8 8 8 9 9 9 9 9 9 9 8 9 8 8 9 10 11 11 11 11 11 12 13 14 14 13 11 10 9 8 8 8 9 10 10 10 10 9 9 9 9 10 10 12 13 15 15 15 15 14 13 11 10 10 10 11 11 11 11 12 13 14 13 12 10 9 8 8 9 9 8 8 7 6 6 6 8 9 10 9 8 8 7 7 7 7 8 9 9 8 8 8 9 9 8 7 5 3 1 -1 -1 -0 0 0 -1 -2 -1 2 4 5 6 7 8 9 10 11 11 12 12 12 12 12 12 11 11 10 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 10 10 10 10 10 9 nan
nan 9 8 7 8 8 8 8 8 7 7 6 6 6 5 5 6 8 8 8 8 9 9 9 9 8 9 9 9 9 8 9 10 11 11 11 10 10 10 10 11 12 12 11 9 8 8 8 9 10 11 10 10 10 10 9 9 9 9 10 12 14 15 14 12 11 10 9 9 8 9 9 11 12 12 12 13 14 14 12 10 9 9 9 9 10 10 10 9 8 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 10 10 9 9 8 6 4 2 1 1 1 1 -1 -3 -3 -2 1 4 5 6 7 8 9 10 11 12 12 13 14 14 14 13 13 12 11 10 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 10 10 9 8 7 7 8 8 8 9 9 9 9 10 nan
nan 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 7 8 9 8 8 9 9 9 9 9 9 9 9 8 8 8 9 10 11 12 11 10 9 8 8 9 10 9 8 7 7 8 8 10 11 12 11 10 10 9 9 9 9 10 12 14 15 13 8 6 6 5 5 6 7 8 10 12 12 12 12 13 12 11 9 9 9 9 9 10 10 10 9 8 7 7 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 8 7 6 5 4 4 3 1 -2 -5 -5 -2 2 4 5 7 8 9 10 11 12 13 14 15 15 16 15 15 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 11 12 13 14 14 14 14 13 12 10 9 8 8 8 8 8 8 8 9 9 nan
nan 9 9 9 8 8 9 10 10 9 9 8 7 6 6 7 8 9 10 9 8 8 8 8 8 8 9 9 9 9 8 8 8 9 11 12 11 10 9 8 7 8 9 9 8 7 7 6 6 9 11 12 11 10 9 8 8 9 9 10 11 12 13 11 6 4 3 3 3 4 5 7 9 10 12 12 12 12 11 10 9 9 9 9 9 10 10 9 8 7 7 7 7 7 6 5 5 6 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 5 3 0 -4 -5 -2 2 4 5 6 7 8 10 11 12 13 14 15 17 17 18 17 16 15 14 13 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 13 15 17 18 19 20 19 18 16 14 12 10 9 9 8 8 8 8 8 8 nan
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nan 8 8 7 7 8 9 9 9 9 8 8 8 8 8 8 9 10 11 10 9 8 7 6 6 6 7 7 8 8 8 9 9 9 9 10 11 12 12 11 11 11 10 10 8 7 5 4 4 6 9 10 10 10 9 9 10 10 10 9 8 8 8 8 7 7 7 6 4 3 2 3 5 7 9 11 13 13 12 11 10 9 9 9 9 8 7 6 7 8 8 8 8 7 7 7 7 7 6 6 7 7 8 9 9 8 8 8 8 7 8 8 9 10 9 8 8 8 8 7 6 4 1 0 2 3 2 1 2 5 7 8 9 10 11 12 13 15 17 19 21 21 21 20 18 16 14 12 11 10 9 9 9 9 9 10 10 9 7 6 5 5 5 6 7 9 12 15 18 22 24 26 26 26 25 24 21 18 16 14 12 11 10 9 9 9 nan
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nan 8 8 8 8 9 9 10 10 11 10 10 11 11 10 10 9 8 7 7 6 6 7 8 9 9 9 8 7 6 6 6 7 7 7 8 8 8 7 6 6 7 9 10 10 10 9 8 8 8 7 7 8 8 8 8 10 11 11 10 9 9 8 8 8 7 6 6 6 8 10 11 10 8 7 6 6 5 5 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 5 5 5 6 7 7 7 7 8 8 8 8 8 7 7 8 9 8 8 9 10 10 8 6 6 7 8 9 10 10 10 11 12 14 16 19 23 26 29 30 30 28 25 22 20 17 14 11 9 8 8 8 7 7 6 6 7 6 6 5 5 4 4 5 5 6 7 9 12 16 20 24 29 34 37 37 34 31 26 nan
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nan 9 9 10 10 11 10 9 9 9 9 8 7 7 7 7 8 8 8 8 9 9 8 7 6 7 8 9 10 10 10 9 9 8 7 7 6 7 7 7 7 8 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 13 14 14 13 12 10 8 7 7 7 8 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 8 8 7 6 5 6 6 6 6 6 6 6 7 7 7 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 nan
nan 9 9 9 9 10 10 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 8 7 6 6 8 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 10 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 13 14 14 15 13 10 8 7 7 7 8 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 8 7 6 5 5 6 6 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 8 8 nan
nan 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 12 14 15 15 12 10 8 8 8 8 8 9 9 9 10 10 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 9 8 7 7 6 7 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 10 11 11 11 12 11 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 8 nan
nan 8 8 8 9 9 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 13 14 14 12 11 10 9 9 9 9 9 8 8 9 9 9 9 10 11 10 8 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 9 10 9 8 7 6 6 6 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 11 11 12 12 11 11 10 10 10 9 9 9 8 8 7 7 6 6 7 7 7 7 nan
nan 8 8 8 9 9 9 8 8 8 8 8 8 8 7 8 8 7 7 7 7 8 9 10 11 11 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 9 10 10 10 10 12 13 13 12 11 10 10 9 9 9 8 8 9 9 9 9 9 10 11 10 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 9 9 8 7 7 6 6 7 7 8 9 9 8 7 7 7 7 8 8 8 8 9 10 11 11 10 10 11 11 12 12 12 11 11 10 10 9 9 9 8 8 7 7 6 6 6 6 7 7 7 nan
nan 8 8 9 9 9 9 9 9 8 8 9 8 8 7 7 7 7 7 7 7 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 9 10 10 11 11 10 9 8 9 9 9 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 9 9 9 10 10 9 9 8 8 10 10 11 10 10 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 7 6 6 6 7 8 9 10 11 11 12 12 11 11 12 12 12 12 12 12 11 10 9 9 9 8 8 7 7 6 6 6 6 6 6 7 7 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 10 11 11 11 11 10 9 9 8 9 9 9 9 9 8 8 8 9 9 9 8 8 7 7 8 8 8 7 6 5 5 6 7 9 10 11 12 12 11 11 12 12 12 12 12 12 12 11 10 9 9 8 7 7 7 6 6 6 6 6 6 6 7 7 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 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 11 11 11 11 11 11 11 11 11 10 10 9 8 7 6 5 5 6 7 8 8 7 7 8 9 9 9 8 8 8 8 9 10 10 10 10 10 11 10 10 10 10 11 10 10 9 9 9 9 9 8 8 8 9 9 9 10 10 10 9 9 8 8 7 8 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 8 7 8 8 9 10 10 9 8 8 8 8 8 8 7 7 6 6 6 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 7 7 7 7 6 6 6 6 6 6 6 7 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 6 5 4 3 3 4 6 6 6 6 6 6 7 8 8 8 8 8 8 9 10 10 9 9 9 10 11 11 11 11 11 11 10 9 8 8 8 8 7 7 8 8 9 9 10 10 10 10 9 8 7 7 7 7 8 8 9 10 10 11 11 11 10 10 9 9 9 8 8 7 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 10 10 11 11 11 10 10 10 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 8 8 8 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 6 5 4 4 4 4 5 6 7 7 6 6 5 5 6 6 7 8 9 9 9 9 9 9 8 8 8 9 10 11 12 12 12 11 11 10 9 8 8 8 7 7 7 8 8 8 9 10 10 10 9 8 7 6 6 7 7 8 8 9 10 11 11 11 10 10 9 9 8 8 8 8 7 8 8 9 10 10 9 8 8 8 8 8 8 9 9 9 8 8 9 9 10 11 11 10 10 10 11 11 11 10 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 nan
nan 10 10 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 11 10 10 10 9 10 10 10 10 8 6 5 6 7 8 9 10 10 10 10 9 10 10 10 10 10 11 11 11 10 10 10 10 9 8 8 8 8 8 8 8 8 8 7 6 5 5 5 5 6 8 9 10 10 10 9 8 7 7 6 6 6 7 9 9 9 9 9 8 8 8 9 10 10 11 11 12 12 12 11 11 10 9 9 9 8 8 7 8 8 8 9 9 9 9 9 9 7 6 6 6 7 7 7 8 9 11 12 11 10 10 9 8 8 8 8 8 8 8 8 9 9 10 9 8 8 7 7 8 8 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 9 9 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 nan
nan 10 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 7 5 3 3 4 5 7 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 6 6 6 7 7 8 7 7 6 6 7 8 10 11 12 13 13 13 12 11 10 9 8 7 7 7 8 9 10 9 8 8 8 9 10 10 10 10 11 11 12 12 12 11 10 10 10 10 10 9 9 9 8 9 9 9 9 9 10 10 9 7 6 6 5 6 6 8 10 11 11 10 10 9 9 8 8 8 8 8 8 8 9 9 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 9 7 6 4 3 2 2 4 6 8 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 8 9 10 10 10 10 11 12 14 15 16 16 15 14 13 12 11 10 10 9 9 9 10 10 10 9 7 7 8 9 9 10 10 10 10 11 12 12 12 11 10 10 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 9 7 6 5 6 7 9 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 10 9 9 8 8 7 7 7 8 9 9 10 10 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 11 9 7 6 6 5 3 2 2 3 5 8 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 7 8 8 9 9 9 10 10 11 12 12 13 14 15 16 17 18 18 16 14 13 12 11 11 11 10 10 11 11 11 10 9 9 8 7 6 6 7 8 9 9 11 12 12 12 11 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 7 6 7 9 11 11 10 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 7 7 7 7 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 9 11 13 12 11 9 7 7 7 7 6 4 2 2 3 7 10 11 11 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 13 13 14 15 16 16 16 15 14 13 12 11 11 10 10 10 10 10 10 10 11 10 7 5 4 4 5 6 7 10 12 13 12 11 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 9 10 12 11 10 9 8 9 9 9 9 8 8 8 8 8 8 9 10 10 9 9 9 8 8 7 7 7 9 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 10 10 10 9 9 9 9 9 9 10 10 11 11 10 9 9 8 8 8 8 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 11 12 12 10 9 8 8 8 8 9 7 4 2 2 5 9 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 9 9 8 9 10 12 13 14 15 14 13 12 11 10 10 10 9 9 10 10 11 11 9 6 5 4 4 4 5 8 10 12 12 11 9 8 8 8 9 10 11 11 11 10 10 9 9 10 11 10 9 9 9 9 9 9 10 12 12 11 9 8 9 9 9 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 7 8 9 10 10 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 9 8 8 8 8 9 9 10 11 11 11 10 9 9 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 11 11 11 10 8 8 8 9 9 10 9 7 3 2 4 8 11 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 6 5 5 6 7 9 12 14 14 13 12 12 11 10 10 10 9 10 10 11 11 10 10 9 8 6 5 5 5 7 9 10 10 10 9 7 7 8 9 10 10 10 9 8 8 9 10 11 10 10 9 10 11 10 10 10 11 12 11 10 9 9 9 9 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 9 10 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 9 8 8 8 8 9 10 11 11 11 11 10 9 9 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 11 10 10 8 8 8 9 9 10 10 10 8 5 2 3 7 11 13 13 12 11 11 11 11 11 11 11 11 10 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 7 6 6 6 7 9 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 7 6 6 7 7 8 9 9 8 7 7 8 9 9 9 8 8 8 9 11 11 11 10 10 11 11 11 10 11 11 11 11 10 9 9 9 9 9 9 9 10 10 9 9 8 8 7 8 8 7 7 7 7 7 7 9 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 8 8 8 9 10 11 11 11 10 9 9 8 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 9 9 10 11 12 11 9 8 7 8 9 9 10 10 10 8 5 2 1 5 10 14 15 14 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 10 9 9 9 8 7 7 8 9 10 10 9 8 7 7 8 9 11 12 13 13 13 13 13 13 13 12 12 11 11 12 12 12 12 12 11 11 9 8 7 7 7 8 9 9 8 8 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 9 8 8 9 10 10 10 9 10 10 10 9 9 8 8 7 6 6 6 6 7 8 9 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 nan
nan 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 12 13 13 11 8 7 8 9 10 10 10 9 8 5 2 2 6 12 15 16 15 14 13 13 12 12 12 11 11 10 10 10 10 11 11 10 10 9 8 7 6 6 6 7 8 9 9 8 7 6 6 7 8 9 10 11 11 12 13 13 13 13 12 11 11 11 13 13 13 12 12 12 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 11 11 12 13 12 12 12 12 12 12 11 10 9 8 7 7 9 10 11 10 9 9 9 9 9 9 9 8 7 7 6 6 6 7 8 9 10 11 11 11 10 10 10 10 10 10 11 11 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 11 12 13 13 11 9 8 9 9 10 10 9 8 7 7 7 8 11 14 16 16 15 14 14 13 13 12 11 11 10 10 9 9 9 8 8 8 8 7 6 6 5 4 5 5 5 5 5 4 4 4 4 5 6 7 7 8 9 9 10 10 11 10 10 9 9 9 11 12 12 13 13 13 13 13 13 12 12 12 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 12 12 11 10 9 8 7 7 8 9 11 10 10 9 9 8 8 8 9 9 8 8 7 7 7 8 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 nan
nan 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 11 9 9 9 10 10 9 8 8 10 12 15 16 15 15 15 14 13 13 12 12 11 10 10 10 9 9 9 8 6 5 5 5 5 6 6 5 5 5 4 5 5 4 4 3 3 3 3 4 5 5 6 7 8 8 8 8 8 7 7 6 6 7 8 8 9 10 11 11 11 11 12 12 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 10 11 12 13 13 13 12 12 11 11 10 9 9 8 8 9 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 11 10 9 10 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 11 11 10 10 9 9 9 8 nan
nan 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 12 14 14 14 12 10 9 10 10 9 8 9 11 15 19 21 19 17 15 14 13 12 12 11 10 9 8 8 8 7 7 6 6 5 4 4 5 5 6 6 6 6 6 5 6 6 7 7 7 6 5 4 4 4 5 6 7 8 9 8 8 7 6 6 5 5 5 5 6 6 7 8 8 8 9 9 10 11 11 11 12 12 13 13 12 11 10 11 11 11 11 11 10 11 12 13 13 12 12 11 11 10 10 9 10 10 11 12 12 12 12 12 11 11 10 10 9 9 10 10 11 11 11 12 13 13 14 13 12 11 9 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 9 9 10 10 9 10 11 12 13 13 13 12 12 11 10 10 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 10 11 14 15 15 13 11 10 10 10 9 9 10 14 18 21 19 16 14 12 12 12 12 11 10 8 7 7 7 6 5 4 4 5 6 6 6 7 7 7 8 8 7 7 7 7 8 9 10 10 9 7 6 4 4 5 6 7 8 9 9 8 7 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 8 8 9 9 10 11 11 11 10 10 10 11 11 11 10 10 11 12 12 12 12 11 10 10 9 9 9 10 10 12 13 14 14 14 13 12 12 11 10 9 9 10 10 11 12 12 13 14 14 15 14 12 10 8 7 7 7 8 8 8 9 9 10 10 9 8 8 8 8 9 9 10 10 10 11 11 12 13 14 14 14 13 13 12 11 11 10 10 nan
nan 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 13 14 15 13 11 10 10 9 9 10 13 16 17 16 12 11 10 10 11 11 10 9 9 8 8 8 8 7 6 5 6 7 9 9 9 9 9 9 9 9 8 8 8 9 10 10 11 11 11 9 7 5 4 4 5 6 8 9 9 9 8 7 7 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 9 9 9 9 10 11 11 11 10 10 10 11 11 11 10 9 8 8 8 8 9 9 10 11 12 13 13 13 12 11 10 9 8 8 9 9 10 10 11 11 12 13 14 14 13 11 9 8 7 7 8 8 9 9 9 9 10 9 9 8 8 8 9 9 10 10 10 11 11 11 12 13 14 15 15 15 14 14 13 12 12 11 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 12 13 14 14 12 11 10 9 9 10 12 14 14 12 8 6 8 10 10 10 9 8 8 8 9 9 9 10 10 10 10 11 12 12 12 12 11 11 11 10 10 9 9 9 9 9 10 11 11 11 10 8 5 4 3 4 5 8 9 9 9 9 10 10 10 9 9 9 9 8 7 7 7 8 8 7 7 6 6 6 6 7 7 8 8 8 8 9 10 10 10 9 9 9 9 10 10 9 7 6 6 6 7 8 8 9 10 10 10 10 10 9 8 8 7 7 8 8 9 10 10 10 10 11 12 13 13 12 10 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 13 14 15 15 16 15 14 14 14 13 nan
nan 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 13 15 16 15 12 10 9 9 9 11 12 13 11 7 3 5 8 11 11 9 8 7 8 9 9 9 10 11 12 13 14 14 14 14 14 14 13 13 12 12 11 10 9 9 9 8 9 10 11 11 9 8 7 5 4 4 4 6 8 8 8 8 9 10 9 9 9 9 10 9 8 7 8 9 10 11 10 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 6 4 4 4 5 7 8 8 8 8 8 7 7 7 7 7 6 6 7 8 9 10 10 10 10 11 11 11 11 11 9 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 13 15 16 16 17 16 16 15 15 nan
nan 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 12 15 17 16 14 11 10 9 10 11 12 11 8 4 2 5 9 10 9 8 8 8 8 8 8 8 8 9 11 12 13 14 14 14 14 14 14 14 13 12 11 11 10 9 9 8 8 9 10 10 9 8 8 7 6 4 4 5 7 7 7 6 5 6 6 6 6 7 9 9 9 8 9 10 12 14 14 12 11 10 10 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 6 5 3 3 4 5 5 5 6 7 7 7 7 7 7 7 6 7 7 7 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 12 13 15 16 16 16 16 16 16 nan
nan 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 11 14 17 17 15 12 10 10 10 11 11 10 6 2 2 5 8 8 7 8 9 9 9 8 7 6 6 7 9 10 11 12 12 13 13 13 13 13 11 10 10 10 11 11 10 9 8 9 10 11 10 9 9 9 8 6 5 5 7 8 7 6 5 4 4 4 5 6 7 8 9 8 8 9 11 13 15 15 14 13 12 12 12 12 12 11 10 10 9 9 9 9 9 8 8 8 8 8 7 6 5 4 3 2 2 2 4 6 6 7 7 8 7 7 7 7 6 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 10 11 12 12 12 12 12 11 10 10 9 10 11 12 13 13 13 13 14 14 nan
nan 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 10 13 16 18 17 14 11 10 11 11 11 10 5 1 2 4 6 6 7 8 9 10 10 8 7 6 5 6 8 9 10 11 11 12 12 13 14 12 10 7 6 7 9 11 11 11 11 11 12 11 10 10 10 11 10 8 6 7 8 9 9 8 7 6 5 5 5 6 7 8 8 9 8 8 9 11 13 14 14 14 14 14 14 14 14 14 13 13 12 11 10 9 9 9 9 9 9 9 9 8 7 6 3 1 -0 1 3 5 6 7 8 8 8 7 7 6 7 7 8 8 9 9 9 9 10 11 12 12 12 12 11 10 9 8 8 9 9 10 10 9 9 9 9 10 11 12 13 13 13 13 12 12 11 10 10 9 9 8 9 9 9 9 9 9 10 nan
nan 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 12 15 18 18 15 13 11 11 11 12 10 5 1 1 2 4 6 8 9 10 10 10 9 8 7 6 7 7 8 9 10 10 11 12 14 15 15 12 9 5 3 4 7 9 10 11 12 13 12 11 11 11 11 11 8 7 7 8 9 9 9 8 8 7 6 6 7 7 8 8 9 9 9 9 9 10 12 13 13 13 14 14 15 16 16 16 16 15 14 13 12 11 11 11 11 12 12 12 11 9 7 5 2 0 0 2 4 5 7 8 8 7 7 6 7 7 8 8 8 9 9 9 10 11 13 14 15 15 14 12 9 8 7 8 9 10 10 9 9 9 9 9 11 12 13 13 13 12 12 11 12 11 11 10 9 8 7 7 7 7 7 7 7 6 nan
nan 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 11 11 10 10 10 11 15 18 19 17 14 12 11 11 12 10 6 1 -1 -1 2 6 8 9 10 10 10 9 8 8 7 7 7 8 8 8 9 10 12 14 16 17 16 14 8 2 0 1 3 5 7 9 11 12 12 12 12 12 11 8 6 6 7 8 8 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 11 11 12 12 13 14 14 15 17 18 18 18 18 17 16 15 15 15 16 17 17 15 13 11 8 5 3 3 4 5 5 6 7 7 7 7 6 7 8 8 9 8 8 9 9 10 12 13 15 16 17 15 12 9 6 6 8 9 10 9 9 8 8 9 10 11 13 13 13 12 11 11 11 11 11 11 10 9 8 8 7 7 7 6 6 6 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
3 3 4 4 5 5 5 4 4 5 5 5 5 5 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 25 36 44 54 65 69 60 51 63 89 98 94 86 78 77 93 134 174 191 173 143 123 115 114 116 118 119 122 126 131 138 145 176 327 470 519 462 388 380 414 446 439 439 498 682 850 866 727 531 343 210 154 137 137 140 137 137 128 107 83 60 44 32 23 19 11 6 4 6 12 14 11 8 9 11 18 23 21 13 8 5 3 3 3 3 6 11 13 17 22 42 73
3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 20 30 38 50 71 87 74 60 68 88 99 97 89 79 72 90 142 179 179 153 126 112 106 106 111 113 114 119 125 129 140 152 201 311 425 461 409 350 371 453 488 498 451 454 531 618 645 621 529 360 240 180 161 160 162 143 135 135 130 114 92 72 52 33 19 11 10 11 15 17 14 12 13 14 16 20 20 14 6 4 3 2 2 2 3 2 3 2 0 0 11 28
3 3 3 3 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 25 32 40 63 101 82 71 78 90 97 95 87 82 81 118 162 179 162 134 115 108 104 107 111 111 112 117 126 133 143 165 212 272 334 363 354 358 386 434 497 551 530 469 424 401 433 502 467 357 253 192 157 124 146 157 136 143 148 133 116 95 70 46 28 22 22 22 21 18 13 15 17 17 16 16 14 7 4 3 2 2 1 1 2 1 0 0 0 0 2 6
2 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 2 2 2 2 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 23 34 42 58 95 93 89 91 96 99 97 88 84 90 126 170 177 142 124 113 109 105 106 110 114 115 119 128 140 154 168 194 224 244 267 324 404 445 513 589 617 578 480 370 354 449 510 475 352 223 143 106 94 121 143 139 147 159 146 135 115 91 69 52 41 35 32 26 16 11 12 15 17 15 9 6 4 3 2 1 1 1 0 0 0 0 0 0 0 0 1
2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 15 25 43 69 95 103 105 109 114 107 108 99 88 94 125 163 166 127 120 115 111 107 108 111 114 117 123 135 151 168 181 204 227 232 234 305 403 514 628 676 653 609 513 428 489 589 650 544 337 177 96 108 131 147 168 176 170 174 178 170 147 121 100 81 63 50 47 36 21 11 9 13 17 15 7 6 6 5 3 2 1 0 0 0 1 0 0 0 0 0 0
2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 42 77 102 109 112 124 138 119 103 93 85 91 106 120 121 115 110 106 110 112 113 115 117 120 132 149 168 180 186 198 223 252 253 354 453 542 606 624 603 592 508 498 599 625 568 473 293 175 150 171 176 180 190 189 180 182 195 183 162 141 124 106 83 64 50 38 27 19 13 12 15 11 6 6 8 7 5 3 3 2 1 1 1 0 0 0 0 0 0
2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 17 51 86 109 114 112 122 145 137 126 111 90 81 93 104 105 104 101 102 110 118 121 123 124 127 137 154 170 179 185 192 211 269 325 432 506 547 581 591 552 515 441 429 565 625 443 377 292 222 206 201 194 193 191 182 184 183 186 179 169 159 147 128 106 79 53 36 31 31 26 17 9 4 2 4 8 8 2 2 2 2 2 2 1 0 0 0 0 0 0
2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 1 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 13 48 89 115 122 117 118 130 139 136 115 90 78 83 88 92 98 101 108 119 131 137 138 135 133 137 148 161 171 177 186 213 276 365 453 513 546 563 561 512 456 387 308 329 448 367 347 328 254 208 191 183 178 167 166 182 175 163 157 161 170 164 143 125 101 65 34 31 40 41 34 17 5 3 9 17 12 2 3 2 2 3 6 3 2 2 1 0 0 0
1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 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 1 0 0 0 0 0 0 0 0 1 4 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 48 87 110 120 118 119 121 132 135 124 105 89 83 89 97 102 109 121 137 153 157 152 145 139 138 143 152 164 175 187 213 263 343 427 479 515 525 519 486 418 338 253 186 200 202 221 261 232 194 186 185 175 158 173 182 175 163 156 155 161 159 149 139 127 103 70 54 57 64 63 50 30 17 19 26 13 4 3 4 4 5 9 4 5 5 3 1 1 1
1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 1 1 3 4 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 16 46 74 99 117 122 144 142 139 141 138 126 108 94 99 105 113 124 142 161 174 168 157 149 141 137 140 151 169 182 188 197 224 283 365 422 452 457 470 447 371 281 219 160 136 143 140 158 173 171 167 173 174 175 187 191 182 168 156 148 150 153 151 150 152 140 123 107 100 101 98 88 70 44 29 26 13 5 4 5 3 5 7 5 4 5 5 5 6 5
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69 70 81 95 99 90 87 105 131 131 103 73 54 38 21 6 2 9 33 81 115 105 62 26 29 29 18 14 12 10 9 13 26 47 56 53 38 24 20 20 19 20 17 16 13 11 11 11 12 12 11 11 12 12 12 11 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 3 1 0 1 5 13 26 43 56 70 75 79 82 81 81 88 88 86 94 102 106 111 121 130 137 140 143 144 143 141 149 151 151 144 136 132 130 126 123 118 112 107 103 105 109 105 105 114 119 121 124 131 139 139 145 148 145 138 137 148 148 152 154 152 149 149 159 161 165 161 154 149 143 138 125 126 134 132 130 128 119 112 121 134 144 145
89 94 117 118 109 103 103 106 122 122 76 27 6 2 1 0 0 0 22 65 108 117 88 57 73 46 22 12 10 9 9 9 15 12 25 32 28 20 16 16 14 15 14 16 15 13 12 11 11 11 10 10 10 11 10 10 9 6 3 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 1 1 2 3 4 10 17 31 40 48 55 59 66 82 85 87 89 91 92 95 105 111 115 117 122 129 130 127 135 138 137 135 134 132 137 137 136 130 125 119 115 114 113 114 116 118 119 123 128 136 150 155 162 166 170 180 164 182 173 170 177 187 182 164 160 156 158 162 161 156 137 118 120 132 140 143 152 162 159 145 155 166 171 168
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