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 7 6 6 7 7 7 6 6 7 8 8 8 7 6 6 7 7 7 7 8 8 7 7 6 6 7 8 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 8 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 7 6 4 3 5 8 11 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 14 14 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 6 7 8 8 7 7 7 7 7 7 6 7 7 8 8 7 7 7 7 7 7 7 8 7 7 7 6 6 7 8 9 10 9 9 8 8 7 7 8 9 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 10 10 11 10 10 9 9 9 8 8 7 4 2 2 5 8 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 15 14 14 14 13 13 12 12 13 14 13 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 6 7 8 9 8 7 7 7 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 10 10 10 10 10 9 9 8 7 6 2 -0 2 6 8 9 10 10 11 11 10 10 10 10 10 11 11 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 15 17 17 17 16 14 12 11 11 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 6 6 8 9 9 8 7 7 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 8 8 8 8 9 9 9 8 9 9 9 9 9 9 8 6 6 7 8 9 9 10 10 10 9 8 8 8 7 4 0 0 3 5 7 9 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 13 13 13 14 14 14 14 14 15 15 16 17 18 18 17 16 14 12 10 9 9 9 9 9 10 11 11 12 12 13 12 12 13 14 14 14 14 14 13 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 nan
nan 6 6 7 9 9 8 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 7 8 9 9 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 7 8 8 8 9 9 9 9 8 7 6 6 7 8 8 9 9 9 8 8 8 7 7 5 2 1 1 2 4 6 8 9 9 9 9 10 10 11 11 11 12 12 13 13 13 13 14 14 14 14 14 14 14 14 14 15 15 16 16 16 17 17 17 17 17 16 15 14 13 12 10 10 9 9 8 8 9 10 11 12 12 13 14 14 15 15 15 15 15 15 14 14 13 13 14 15 14 14 13 13 12 11 10 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 7 8 8 7 7 7 7 7 7 nan
nan 7 5 6 8 8 8 7 7 8 8 8 7 7 7 7 7 7 6 6 7 7 8 9 9 9 9 9 9 8 8 9 10 10 10 10 9 10 10 11 10 10 9 9 9 9 9 10 9 9 8 7 7 7 7 7 6 6 6 6 6 7 8 8 9 9 9 8 7 6 6 7 7 7 8 8 9 8 8 8 7 7 6 5 3 1 1 1 3 5 6 7 8 8 8 9 9 10 10 11 11 12 12 13 14 15 15 15 16 16 16 16 16 16 16 16 17 18 18 18 18 16 15 14 13 13 12 12 11 11 11 10 10 9 9 9 10 10 11 12 12 13 15 16 15 14 14 14 13 13 13 13 13 14 14 14 14 13 13 13 12 12 12 11 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 7 5 6 7 7 7 7 7 8 7 7 7 8 8 7 6 6 7 8 8 9 11 11 11 10 10 10 9 8 8 9 10 10 9 9 9 10 10 11 11 10 10 9 9 9 10 10 9 8 7 7 7 6 6 6 5 5 5 6 6 7 8 9 9 9 8 7 6 5 6 7 7 8 8 9 9 9 9 8 7 7 6 5 4 2 1 2 3 4 6 6 7 8 8 9 9 10 10 11 12 13 14 15 16 17 18 18 18 19 18 18 18 18 18 18 19 19 18 17 15 14 12 12 12 13 12 12 12 11 11 10 10 10 9 9 9 10 10 10 11 12 13 13 12 12 11 11 11 11 11 12 12 11 10 11 12 12 12 13 13 14 14 13 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 10 9 7 6 7 7 7 7 7 7 7 6 7 8 8 8 7 7 7 7 8 10 11 12 11 10 10 10 9 8 7 8 8 9 10 10 9 9 10 11 12 11 9 8 8 9 10 10 9 8 7 7 6 6 6 6 6 5 6 6 6 6 6 7 8 8 8 7 6 6 6 7 7 8 8 8 9 9 9 9 8 8 8 7 6 5 4 3 3 4 5 6 7 9 10 10 10 11 11 11 13 14 15 16 17 18 19 20 20 20 20 20 19 19 20 20 19 19 18 17 15 14 13 13 13 14 14 14 13 13 12 12 11 11 10 10 9 9 10 9 9 10 10 10 10 10 9 8 8 8 9 9 9 8 8 9 10 10 11 11 12 13 13 13 13 13 14 13 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 nan
nan 11 10 9 7 7 8 8 8 8 7 7 6 7 8 9 9 9 8 7 7 7 8 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 8 9 10 10 10 8 7 7 7 8 8 7 7 7 6 6 6 7 7 6 6 6 6 5 5 4 5 6 7 8 8 7 7 6 6 7 8 8 8 9 9 9 9 9 9 8 8 7 7 7 6 6 5 5 6 7 9 12 13 13 13 13 14 14 15 16 17 18 19 19 20 20 20 19 19 19 20 20 20 20 19 18 17 16 15 15 15 15 15 16 16 15 14 14 13 13 12 12 11 10 10 10 10 10 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 11 12 13 13 13 13 13 13 12 11 10 9 8 8 8 8 8 8 7 7 7 7 nan
nan 10 10 9 8 7 8 9 10 10 8 7 7 7 8 9 10 11 11 10 8 7 7 8 8 8 7 7 7 8 8 8 8 9 9 8 8 8 7 8 8 8 8 7 6 5 6 7 7 6 6 6 6 7 7 7 7 6 6 6 6 5 5 4 4 5 6 7 8 8 7 7 6 7 7 8 8 9 9 9 9 10 10 10 9 9 9 9 9 8 8 7 6 6 8 12 14 16 17 16 16 16 16 16 16 17 17 17 18 18 17 17 17 18 18 19 20 20 19 18 18 17 16 16 17 17 17 17 16 16 15 15 14 13 13 12 11 11 10 10 10 10 10 9 9 9 9 8 7 7 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 10 11 11 12 12 13 14 13 12 11 10 9 8 8 7 7 7 7 7 7 7 nan
nan 9 9 9 8 7 7 9 10 10 9 8 8 8 8 8 9 11 12 11 9 8 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 7 7 8 8 8 7 7 5 5 6 6 6 7 7 7 7 7 7 7 6 6 6 7 7 6 6 6 6 6 6 7 8 9 8 7 7 7 7 8 9 9 9 9 9 10 11 12 11 10 10 11 10 10 10 9 7 6 7 10 13 17 19 19 17 16 15 15 15 15 15 14 14 14 14 14 15 15 16 17 17 18 18 18 18 17 17 17 17 17 16 16 15 15 14 14 13 12 12 11 10 10 10 10 10 10 9 9 9 9 9 8 7 7 6 6 5 5 5 5 5 6 6 7 8 8 9 9 9 9 10 10 10 11 12 12 12 12 11 10 10 9 8 7 7 7 7 7 7 7 nan
nan 8 8 8 7 6 6 7 8 9 9 9 9 8 8 8 9 10 12 11 10 9 9 9 8 8 8 9 9 9 9 8 7 7 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 9 8 8 8 8 8 9 9 9 9 9 11 12 12 11 11 11 11 11 11 10 10 9 7 6 6 8 12 16 18 17 16 15 14 13 12 12 11 11 11 11 12 12 12 12 13 13 14 15 16 16 16 16 15 15 15 14 14 13 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 7 6 6 5 5 5 5 5 5 5 6 7 7 8 8 9 10 10 10 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 nan
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nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 10 10 10 11 11 11 10 10 10 9 8 8 8 8 8 9 8 7 7 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 5 5 5 6 8 9 9 10 9 8 7 7 7 8 9 10 9 9 10 11 11 10 10 9 10 10 10 9 6 2 -2 -2 1 5 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 9 9 9 9 9 9 9 8 8 7 7 6 6 5 5 5 5 5 5 6 6 6 7 8 9 9 9 9 9 9 8 8 9 9 9 9 8 9 9 nan
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nan 9 9 9 10 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 9 8 7 6 6 6 7 7 8 8 7 7 6 6 6 6 7 7 7 7 8 8 8 9 9 9 8 7 7 6 6 6 7 6 5 5 6 7 8 9 8 8 7 7 7 7 7 8 9 10 11 10 10 10 10 10 11 11 10 9 5 -0 -4 -2 1 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 7 9 10 10 10 9 9 9 8 8 8 9 9 nan
nan 10 10 10 9 9 9 10 10 10 9 9 9 8 8 9 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 10 10 10 9 9 8 7 7 7 7 7 8 8 8 7 7 7 7 8 8 7 8 8 8 8 9 9 8 8 7 7 7 7 7 7 6 5 4 4 4 6 7 8 8 8 7 7 7 7 7 8 9 10 10 9 9 10 11 11 11 10 10 7 2 -3 -5 -3 0 2 3 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 10 10 10 10 9 9 8 7 nan
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nan 10 10 10 10 9 9 10 10 10 10 9 8 8 8 10 11 11 10 9 9 8 8 8 8 8 9 10 11 11 10 10 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 10 10 9 8 8 8 9 10 11 10 8 7 7 8 8 7 6 6 6 7 7 7 7 6 6 6 6 5 5 4 5 5 6 7 8 8 8 7 6 6 6 7 8 8 8 9 9 9 9 9 8 7 5 1 -3 -5 -5 -4 -3 -3 -3 -1 1 4 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 8 8 8 9 9 9 8 7 6 6 6 6 7 7 8 8 9 8 8 8 8 9 10 10 9 9 9 10 10 11 11 11 9 8 nan
nan 11 11 10 9 9 8 9 9 9 9 9 9 8 9 11 12 11 10 9 9 9 8 8 8 8 9 10 11 12 11 11 11 11 11 10 10 9 10 10 11 11 11 10 9 8 8 9 9 10 10 9 9 9 10 10 11 11 10 9 8 8 7 6 6 6 6 7 7 7 7 7 7 7 6 6 5 4 4 4 5 7 8 8 8 7 6 5 6 7 7 8 7 8 8 8 8 8 7 8 8 6 3 -1 -3 -3 -3 -5 -5 -5 -3 1 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 8 9 9 9 9 9 8 7 6 5 5 6 7 7 8 9 9 9 8 8 8 8 8 9 9 10 10 10 11 11 12 13 12 12 nan
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nan 10 10 11 11 10 9 8 8 8 8 8 9 10 11 13 13 11 10 9 9 9 9 10 10 9 9 8 8 10 11 12 11 11 11 10 10 10 10 9 8 8 8 9 8 7 8 9 10 11 10 9 8 7 7 7 7 7 8 10 10 8 7 6 6 6 6 6 6 7 7 7 7 6 6 5 5 6 6 6 6 6 7 8 8 8 7 6 6 6 7 7 7 7 8 8 8 7 6 7 8 8 9 9 8 8 7 7 4 -2 -5 -4 0 3 5 5 5 4 5 5 6 6 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 9 9 10 10 9 8 7 6 5 5 5 6 8 9 11 12 11 9 8 6 6 7 8 9 11 13 15 17 18 19 19 18 16 nan
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nan 12 12 12 12 12 10 9 8 7 7 7 8 8 9 10 11 11 11 10 10 9 8 7 8 9 11 11 10 8 7 7 7 7 7 7 6 4 5 7 8 9 9 8 8 9 9 8 7 7 6 6 6 5 5 5 5 6 6 6 6 5 6 7 7 7 7 7 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 7 7 6 6 6 8 8 8 7 6 7 7 8 8 8 8 9 9 8 7 6 6 6 6 4 1 -2 -4 -3 -2 0 2 4 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 9 9 8 8 8 7 7 6 6 5 5 4 4 5 7 10 12 13 12 9 6 6 6 7 8 8 7 8 9 11 13 14 14 14 nan
nan 12 12 12 12 13 11 9 8 7 6 6 6 7 8 8 10 10 9 8 8 7 7 8 9 10 10 10 10 10 9 9 8 8 8 8 7 5 5 6 7 8 9 8 8 8 8 7 6 6 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 7 8 7 6 6 6 7 7 7 7 8 9 8 7 6 6 7 7 8 7 5 3 -0 -3 -3 -2 0 3 5 6 6 6 6 5 5 5 6 6 6 6 6 7 7 7 8 8 8 9 9 8 8 8 7 7 7 7 7 8 8 8 9 8 8 8 7 7 6 6 6 5 5 4 4 4 6 8 10 12 13 11 9 7 7 8 8 8 7 7 6 7 8 10 12 13 nan
nan 13 13 13 13 13 13 11 10 9 8 7 6 7 7 8 9 9 8 7 6 7 7 8 8 9 8 8 8 9 9 9 9 9 9 8 7 6 5 6 6 8 8 8 7 8 8 8 9 7 5 4 4 4 5 5 5 5 6 6 6 6 7 7 6 5 6 5 5 6 6 7 7 7 7 6 6 6 7 7 7 7 6 6 6 6 7 7 8 8 7 7 7 7 7 6 6 6 6 7 7 7 8 8 7 6 5 5 6 7 8 8 8 7 5 2 -1 -1 0 3 6 7 6 5 4 4 5 5 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 5 4 4 3 4 5 8 11 12 11 10 9 9 9 9 9 8 7 6 5 5 7 10 12 nan
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nan 12 14 16 18 19 20 21 20 19 17 14 12 10 8 8 7 7 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 7 7 7 8 9 10 10 11 10 10 10 9 8 7 6 5 6 7 7 8 8 8 8 8 8 8 8 9 9 8 8 7 8 9 11 13 13 12 11 10 10 9 9 9 9 10 10 9 9 7 7 8 9 9 9 9 9 9 10 10 11 12 13 14 14 13 12 11 11 12 12 12 12 12 12 13 15 16 17 17 16 15 14 15 16 18 19 19 19 18 15 14 13 13 13 12 11 11 10 10 9 9 9 9 10 10 10 9 9 8 7 6 5 5 5 6 6 6 nan
nan 16 17 18 18 18 18 18 17 15 13 11 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 7 7 7 8 9 10 10 10 10 9 8 8 8 7 7 8 8 9 9 8 8 8 8 9 10 11 12 12 11 10 8 8 9 11 12 12 11 10 9 9 8 8 9 9 10 10 10 9 8 8 8 9 10 10 9 9 9 10 10 10 11 12 14 15 15 15 14 14 13 12 11 10 11 11 11 11 11 11 11 12 11 9 7 6 6 7 8 9 10 10 10 12 15 16 15 13 12 11 11 11 10 10 10 10 10 10 10 9 8 7 5 4 2 2 4 5 6 6 nan
nan 17 18 17 16 15 14 13 13 12 10 9 8 8 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 11 11 10 10 10 10 10 11 11 10 10 9 8 8 7 7 8 8 8 8 8 9 9 9 8 8 9 10 10 11 11 11 11 11 10 10 12 13 14 14 13 12 11 11 11 12 12 12 11 10 9 9 8 8 9 9 10 11 11 10 10 9 9 10 11 12 11 10 10 10 11 11 11 12 12 13 14 14 14 14 14 13 11 10 9 9 10 10 10 10 10 10 11 11 11 10 7 3 1 0 0 1 3 5 8 11 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 8 6 4 2 1 2 4 6 7 nan
nan 16 15 14 13 12 11 11 11 10 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 6 6 7 7 7 7 6 6 7 7 8 8 8 8 9 9 10 10 10 10 10 11 11 10 10 9 9 9 10 10 10 10 9 9 8 7 6 6 6 6 5 5 7 9 10 11 10 10 11 12 12 12 13 13 12 11 11 11 12 13 13 13 12 11 11 12 14 14 12 11 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 11 12 13 13 12 12 12 12 13 12 13 13 13 12 12 12 12 12 11 10 9 8 8 8 9 10 10 10 11 12 14 16 16 15 12 9 7 6 6 7 9 10 11 10 11 12 13 13 13 13 12 12 12 12 12 12 12 13 12 10 8 6 4 3 3 4 5 7 nan
nan 13 12 11 11 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 5 4 4 4 5 6 6 7 7 7 7 6 6 6 6 6 7 7 8 8 8 9 10 10 11 11 11 11 11 11 10 9 9 9 9 9 10 10 9 9 8 7 5 4 3 3 3 4 6 8 10 12 11 11 12 12 13 12 12 12 11 10 10 10 11 12 12 12 11 10 10 11 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 13 14 14 13 13 13 12 11 11 10 10 10 10 10 9 8 7 7 6 7 9 11 11 12 12 13 14 16 18 20 19 18 18 19 20 22 21 19 18 18 19 20 19 18 17 16 15 14 14 14 15 17 18 17 14 11 10 8 7 6 5 6 8 nan
nan 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 4 4 4 4 6 7 7 7 7 7 7 6 6 6 5 5 6 7 7 8 9 9 10 10 11 11 11 11 11 11 10 9 9 9 10 10 11 10 9 6 4 3 1 -0 0 2 4 6 8 9 10 11 10 11 12 12 11 10 9 8 7 7 8 10 11 12 12 11 10 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 13 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 8 7 7 7 8 10 11 11 10 10 11 12 15 18 20 21 22 23 25 26 26 25 25 26 26 26 26 26 24 22 20 19 18 17 18 20 22 21 19 16 13 12 11 9 9 9 9 nan
nan 11 10 10 10 10 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 5 6 7 8 8 8 8 7 7 6 6 6 5 5 5 6 7 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 11 12 12 9 5 1 -1 -2 -2 -1 1 4 6 7 7 7 8 8 9 10 11 11 9 8 7 6 6 7 9 11 12 13 12 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 12 11 11 12 12 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 11 10 10 9 10 10 11 11 11 10 10 11 12 14 15 17 18 18 18 19 19 19 20 22 23 24 25 27 26 25 25 24 23 21 19 17 18 20 20 19 17 15 14 13 12 11 11 nan
nan 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 8 8 7 8 9 10 11 10 9 7 7 6 6 6 5 5 5 6 7 8 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 13 9 3 -2 -4 -3 -1 2 4 7 8 9 8 7 6 6 7 8 9 9 8 7 6 6 6 7 9 11 13 13 13 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 10 11 11 11 10 10 10 10 9 8 9 9 10 11 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 13 13 12 12 12 12 13 13 14 15 16 17 19 20 22 23 25 25 23 19 15 15 18 21 22 22 21 19 18 16 14 13 nan
nan 9 9 10 9 9 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 7 8 10 12 13 14 12 9 7 6 6 6 5 5 5 6 7 8 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 9 4 -2 -4 -3 2 6 8 9 10 11 10 9 8 8 8 8 8 8 6 3 3 3 4 6 8 11 13 13 12 11 10 9 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 9 8 9 9 9 9 8 8 9 9 10 10 10 11 12 13 13 13 12 11 11 11 12 11 11 11 12 13 14 16 16 16 15 14 13 13 12 12 11 11 11 11 11 10 10 10 10 11 11 11 10 11 11 13 15 17 18 20 20 19 18 17 18 21 23 23 23 22 20 18 16 14 nan
nan 8 8 8 8 8 7 7 7 7 7 7 7 6 5 5 5 6 7 7 7 7 7 6 6 6 6 7 6 7 8 10 13 15 14 11 8 7 6 5 5 5 6 7 8 9 10 10 10 9 9 10 10 10 11 12 12 13 12 12 10 5 1 -2 -1 5 10 12 12 11 11 11 10 10 9 9 9 8 8 7 4 1 1 2 3 6 9 11 12 11 11 9 9 8 9 9 10 10 10 10 11 11 10 10 10 10 10 11 11 11 10 9 8 8 8 8 9 9 8 8 8 9 10 11 11 12 13 13 14 13 13 12 11 11 11 11 12 11 11 10 11 13 16 18 19 18 16 14 13 13 12 11 10 9 9 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 13 14 16 17 17 16 15 15 15 16 17 18 18 17 16 14 nan
nan 8 7 7 7 6 6 6 6 6 7 6 6 5 5 6 6 7 8 7 6 6 5 5 5 5 6 7 7 6 5 6 9 13 15 13 11 8 5 4 4 5 6 8 9 10 10 10 10 9 9 9 9 10 11 11 12 12 12 11 8 4 2 2 5 11 15 15 14 13 13 12 10 10 9 9 9 9 8 7 6 5 4 5 5 6 7 8 7 8 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 8 7 6 6 6 7 8 9 9 10 11 13 13 13 12 13 13 14 13 12 11 11 11 11 11 11 11 11 10 10 10 12 14 16 17 17 15 13 12 11 10 9 8 8 8 9 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 12 13 13 13 12 10 8 8 9 10 12 13 13 13 nan
nan 8 7 6 6 6 5 6 6 6 6 6 6 6 6 7 7 8 7 6 4 4 5 5 5 5 6 7 8 7 4 3 4 8 12 14 13 9 5 2 3 4 7 9 10 10 11 10 10 9 9 8 8 9 10 10 11 11 11 9 7 6 5 6 9 13 16 16 16 16 14 12 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 6 5 6 8 9 9 9 8 7 6 6 7 8 8 9 9 10 10 10 10 10 9 8 7 6 6 7 7 8 9 10 12 14 15 16 15 14 13 13 12 12 11 11 10 10 10 11 11 10 10 10 10 10 10 10 11 12 13 13 12 11 10 9 8 8 7 7 8 9 9 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 12 13 13 12 11 8 7 8 9 9 10 11 nan
nan 8 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 7 5 4 5 5 6 5 5 6 8 9 8 6 4 3 5 10 13 14 10 4 1 2 4 7 9 10 10 11 11 11 10 9 8 8 8 8 9 9 10 9 8 8 7 8 8 10 12 13 14 13 13 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 9 8 8 7 8 7 6 5 5 6 6 6 7 8 8 8 8 9 10 10 10 9 8 7 7 8 9 10 11 11 11 12 13 15 16 16 15 14 13 12 12 11 10 9 9 9 9 10 10 9 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 13 14 14 14 12 10 9 9 9 10 11 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 7 6 6 6 6 6 5 5 6 7 8 9 8 6 5 5 8 12 13 10 4 1 2 4 7 9 10 11 11 11 10 9 8 8 8 8 8 8 8 9 8 8 9 10 10 10 10 11 11 9 8 7 8 9 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 8 6 4 3 4 5 6 8 8 9 9 9 9 9 9 9 9 8 8 9 11 12 12 12 12 12 13 14 14 13 13 12 12 11 11 10 9 8 7 7 7 8 8 7 6 6 7 8 8 9 9 8 8 7 7 7 7 8 9 10 11 11 10 10 10 11 12 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 12 13 14 13 13 12 12 12 12 12 13 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 8 7 6 5 6 7 7 8 9 9 8 7 5 6 10 11 9 5 3 3 6 8 10 11 11 10 10 10 9 8 7 7 7 7 8 8 8 8 9 10 11 12 11 11 10 8 5 4 5 7 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 11 11 10 9 8 7 7 7 7 8 9 9 9 9 8 7 7 8 8 9 10 11 11 10 9 9 10 11 12 11 10 10 10 9 9 9 9 8 7 7 7 8 8 7 6 6 7 8 9 9 9 9 8 7 7 6 6 7 8 10 12 13 12 12 11 11 12 13 13 13 13 12 12 11 11 11 12 12 11 12 13 14 14 13 12 12 13 13 12 12 13 13 13 14 14 14 14 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 8 7 7 7 7 7 8 8 9 9 7 4 4 6 9 10 9 7 7 9 10 11 11 10 10 10 9 8 7 7 7 7 7 8 8 8 8 9 11 12 12 12 11 9 7 5 6 9 12 13 12 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 15 15 14 14 14 13 12 11 9 8 8 8 9 9 9 8 8 7 7 8 9 9 9 8 8 8 9 10 11 10 9 8 8 8 8 7 7 7 7 7 9 10 10 9 8 8 9 10 11 10 10 10 9 8 7 7 7 7 8 9 12 14 14 13 12 12 11 12 13 13 13 13 12 12 12 12 12 12 12 13 14 15 15 16 16 16 17 17 15 14 13 13 13 13 13 13 13 12 nan
nan 11 10 11 11 11 11 11 11 10 10 10 10 10 9 8 8 8 8 9 9 10 9 9 8 8 7 7 8 8 9 9 7 3 2 4 7 11 13 13 12 12 12 12 11 10 9 8 8 7 6 6 7 8 9 9 9 9 9 9 10 11 11 11 10 8 8 9 12 14 15 15 13 11 11 11 11 12 13 14 14 15 15 15 16 16 17 18 18 17 16 15 15 15 15 14 13 11 10 9 9 9 10 10 9 9 9 8 9 9 9 9 9 11 11 11 10 9 8 8 8 7 7 7 7 7 8 10 11 12 11 9 9 9 9 10 10 10 9 8 7 6 6 6 7 8 9 11 13 15 14 13 12 12 11 12 13 13 14 14 14 13 13 13 13 13 13 14 14 15 15 16 17 19 20 20 18 16 14 13 12 11 11 10 10 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 7 8 8 9 9 9 8 8 8 8 8 8 8 8 5 2 0 2 7 14 17 17 15 14 12 10 9 8 7 6 6 6 7 8 9 9 9 10 9 9 8 9 10 10 10 10 9 8 8 10 13 14 14 13 12 11 11 11 11 12 13 14 15 15 16 17 17 17 18 18 17 16 15 16 16 17 17 17 16 15 14 12 11 11 11 11 11 11 10 10 9 9 10 11 12 12 11 10 8 7 7 8 8 8 9 8 8 9 10 11 12 11 9 8 8 9 9 9 9 8 7 6 5 5 7 8 9 10 10 12 14 15 14 13 12 11 11 12 13 14 15 15 15 15 14 13 13 13 13 13 13 13 13 14 15 17 18 18 17 15 13 12 11 10 9 9 9 9 nan
nan 11 11 11 11 11 11 12 12 12 12 12 12 12 11 10 9 8 8 7 8 8 8 8 8 8 7 8 8 8 7 6 3 0 -0 2 9 17 20 19 16 12 9 7 6 5 5 5 6 7 8 9 9 10 10 10 9 9 9 9 9 10 10 9 8 8 9 10 12 12 12 12 11 11 11 11 11 12 12 13 13 13 14 14 14 14 14 14 13 13 14 16 17 18 18 19 18 17 17 16 16 16 15 14 12 11 11 10 9 9 9 10 10 9 8 6 5 6 7 9 10 10 10 10 9 10 10 10 9 8 7 8 10 10 9 9 8 7 6 6 6 7 9 11 12 12 12 13 14 15 14 13 12 11 12 12 12 13 15 15 15 14 13 13 12 12 11 11 11 11 12 12 12 13 13 13 13 12 11 11 11 12 12 12 12 12 nan
nan 12 11 11 11 11 11 12 12 13 12 12 12 12 12 11 10 9 8 8 9 9 9 8 8 7 8 7 7 7 6 4 2 0 1 5 13 19 20 17 13 8 5 5 5 5 6 8 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 10 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 14 15 16 16 17 17 17 16 17 18 19 19 17 15 12 11 10 9 8 9 9 9 8 7 6 5 6 7 9 11 11 11 11 10 10 10 10 9 7 7 8 10 11 11 10 9 8 7 7 8 10 11 12 13 12 13 13 14 14 14 13 13 12 12 11 11 11 12 13 13 13 12 12 11 10 9 9 10 10 11 11 11 11 12 12 12 12 12 13 14 16 18 19 20 20 19 nan
nan 10 9 10 10 10 11 12 13 13 13 12 12 12 13 12 11 10 10 10 10 10 9 8 8 8 8 8 7 6 6 4 2 2 3 9 16 19 17 14 9 5 4 4 5 7 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 9 8 8 9 10 11 12 12 12 12 12 12 11 11 10 10 10 11 12 13 13 14 14 14 14 13 13 14 15 15 15 14 12 11 10 9 8 8 8 9 9 9 8 7 7 8 9 11 12 12 11 11 11 10 10 10 10 9 10 11 11 11 10 10 10 10 10 11 12 13 14 14 14 13 13 13 13 13 13 13 13 13 12 10 9 9 9 10 10 11 10 10 9 9 8 9 10 10 11 11 11 12 13 14 14 15 16 18 20 22 24 25 26 26 26 nan
nan 7 7 8 9 9 10 10 11 12 12 12 12 12 13 12 12 11 11 10 9 8 7 7 7 8 8 8 7 7 6 5 4 5 7 12 17 17 15 12 8 5 4 5 6 9 11 12 12 12 12 12 12 11 11 10 10 9 10 10 10 10 10 10 10 10 11 11 11 10 9 7 7 7 9 10 11 12 13 13 13 13 12 11 11 10 10 10 11 13 13 13 13 13 13 12 11 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 11 11 11 11 12 11 11 12 12 13 13 13 13 12 11 11 11 11 12 13 13 14 14 14 14 14 13 13 12 12 12 13 14 14 12 11 9 8 8 8 8 9 10 10 9 8 8 9 10 10 11 11 11 12 13 14 15 16 18 20 22 24 25 26 26 26 27 27 nan
nan 8 8 8 8 8 9 9 9 10 11 11 11 12 12 12 12 12 12 11 10 8 7 7 7 8 8 8 8 8 8 7 7 8 11 15 17 16 13 11 8 6 5 6 7 10 11 12 12 12 12 12 12 12 11 10 9 9 10 10 10 10 11 11 11 11 11 11 10 9 8 7 7 8 10 11 12 13 14 14 14 13 12 11 11 10 10 10 11 13 13 14 14 14 13 12 11 9 8 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 7 6 5 6 7 8 9 10 11 12 13 13 14 15 15 15 14 13 12 12 12 13 13 12 12 11 11 11 11 12 12 11 11 12 12 13 14 13 12 10 9 8 8 8 9 10 10 9 8 8 9 10 10 11 11 12 12 12 13 13 14 16 18 21 22 22 22 22 22 22 22 22 nan
nan 10 10 10 9 8 8 8 9 10 10 11 11 11 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 11 14 17 17 14 12 10 8 7 7 8 8 10 11 11 11 12 12 13 13 12 11 9 9 9 10 11 11 11 11 11 11 11 11 11 10 9 7 7 7 9 12 13 14 15 15 15 14 13 12 11 11 10 10 10 11 12 13 14 14 14 14 13 13 12 10 8 7 6 6 5 5 4 4 4 4 5 6 6 5 4 3 2 2 2 2 3 3 5 7 9 11 12 13 14 14 14 13 12 12 12 13 12 11 10 9 9 9 9 10 10 10 10 11 11 13 14 14 13 11 9 8 8 8 9 10 11 10 9 8 9 10 11 11 12 12 12 12 12 12 13 14 15 16 17 17 17 16 15 15 15 15 14 nan
nan 10 10 10 10 9 8 8 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 12 14 16 14 12 11 10 9 9 9 9 8 9 9 10 10 11 12 13 13 13 11 9 9 9 10 11 11 11 11 11 11 11 11 11 10 9 8 7 8 10 12 14 15 17 17 15 14 13 12 11 11 10 10 10 10 11 12 13 14 14 14 15 15 15 13 12 9 7 7 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 5 7 10 12 13 12 11 11 11 11 11 10 9 9 8 8 8 9 9 9 9 9 10 11 13 15 15 12 10 8 8 8 9 10 10 10 10 9 9 10 11 12 12 13 13 12 12 12 13 15 15 15 13 12 12 11 10 9 9 9 9 9 nan
nan 8 8 8 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 9 10 10 10 9 10 10 11 12 13 12 12 12 12 12 11 10 8 7 8 9 9 10 10 12 13 14 13 11 10 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 8 9 10 12 14 17 18 17 15 14 12 11 11 10 10 10 10 10 11 12 12 13 13 13 14 15 15 15 14 12 10 10 11 11 11 9 8 7 7 6 7 7 8 9 10 10 10 9 9 8 6 4 3 3 6 10 12 12 11 10 10 10 11 11 10 9 8 8 8 8 8 8 9 9 9 10 11 14 16 15 12 9 7 7 8 9 10 10 10 10 10 10 11 12 13 13 14 14 13 13 14 15 17 16 13 11 9 9 8 8 8 7 7 7 7 nan
nan 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 8 8 9 10 10 9 9 9 9 9 8 8 9 9 10 10 11 12 13 15 15 13 10 8 7 6 8 9 10 10 11 12 13 13 11 10 9 9 9 8 8 8 9 10 11 12 12 12 11 11 10 9 8 9 10 12 15 18 19 17 15 13 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 13 13 14 14 14 14 15 16 16 16 14 13 12 12 12 12 12 13 14 15 16 16 16 16 15 13 11 9 10 12 13 13 12 10 10 10 10 11 11 10 9 8 8 8 9 8 8 9 9 9 10 13 15 16 14 11 8 7 8 9 9 9 9 10 10 11 11 12 12 13 14 15 15 14 15 15 16 15 13 10 9 8 8 8 8 8 8 7 7 7 nan
nan 8 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 8 8 7 8 8 9 9 10 11 13 15 16 15 12 9 8 7 8 9 10 11 11 11 12 12 12 11 10 10 10 9 8 8 9 10 12 13 12 12 11 11 10 9 8 8 9 10 12 15 17 17 16 14 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 16 17 19 19 18 18 18 18 17 17 17 16 16 17 18 19 20 20 19 17 16 15 15 16 16 15 13 11 10 9 10 11 11 11 10 9 8 8 9 9 9 9 9 10 10 12 14 15 14 12 8 7 8 9 10 10 9 10 10 11 11 12 12 12 13 14 15 15 15 15 15 14 11 9 8 8 7 8 8 8 8 8 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 9 10 12 15 17 16 13 11 10 9 9 9 10 11 12 12 11 11 12 12 12 11 11 10 10 10 11 12 13 15 14 13 11 10 9 8 7 7 8 9 10 12 14 16 15 14 12 10 10 10 9 9 9 9 9 9 8 8 9 9 9 10 10 9 9 10 11 12 13 15 16 17 17 18 18 19 19 19 19 19 18 19 20 20 21 20 19 16 14 14 16 17 18 16 13 11 10 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 11 13 13 13 11 8 7 8 10 11 11 10 10 10 11 11 12 12 12 12 13 14 15 15 14 14 13 11 9 8 8 8 8 8 8 8 8 8 7 7 7 nan
nan 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 9 8 8 7 8 8 8 8 8 10 13 16 18 16 13 12 11 10 9 10 11 12 12 12 11 10 11 13 13 12 10 10 11 12 13 14 15 16 15 13 11 9 8 7 7 7 9 10 11 12 14 14 14 13 11 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 10 10 11 12 13 14 15 15 16 17 17 17 17 17 18 18 18 18 18 16 15 13 13 16 19 20 19 16 14 12 12 12 12 11 11 10 9 9 9 9 10 10 10 11 11 11 12 11 9 7 5 7 10 12 13 11 11 10 11 11 12 12 12 12 12 13 13 14 13 13 12 11 9 8 8 8 9 9 9 9 9 8 8 8 7 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1661 1697 1744 1817 1910 1981 1999 1997 2053 2106 2224 2333 2393 2392 2309 2190 2139 2188 2255 2253 2248 2243 2195 2124 2021 1943 1970 2044 2069 1902 1512 1051 736 586 550 592 738 919 1019 1103 1247 1052 715 405 215 136 116 113 108 93 83 78 76 76 74 69 63 56 46 40 41 49 61 77 95 114 138 171 213 234 268 326 384 455 545 644 776 918 1021 1153 1313 1479 1854 2400 2555 2628 2707 2819 2982 3089 3095 3055 3054 3033 3031 3107 3147 3258 3229 3080 3033 3007 2937 2931 3007 3156 3236 3251 3259 3276 3325 3410 3432 3458 3484 3499 3506 3522 3551 3576 3547 3501 3456 3435 3447 3472 3426 3415 3415 3459 3603 3803 3948 3992 3989 3847 3724 3656 3568 3523 3488 3442 3410 3369 3265 3164 3100 3013 2903 2787 2703 2641 2579 2515 2448 2386 2332 2275 2201 2122 2041 1962 1887 1806 1773 1776 1767 1738 1741 1718 1672 1615 1558 1494 1407 1351 1443 1414 1293 1196 1193 1249 1307 1345 1242 1367 1494
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1900 2086 2258 2344 2353 2328 2284 2236 2195 2169 2165 2175 2186 2203 2220 2227 2224 2208 2179 2133 2051 1929 1808 1706 1553 1425 1335 1246 1117 948 784 705 677 772 850 823 705 561 451 379 333 262 194 155 138 125 108 91 76 67 59 50 44 39 35 33 30 27 22 17 13 10 8 6 6 10 8 3 0 0 0 0 0 0 0 1 0 0 0 0 1 3 12 28 132 197 253 329 421 546 857 955 1255 1423 1416 1350 1338 1467 1604 1407 1355 1306 1243 1237 1273 1290 1396 1453 1522 1660 1843 2050 2275 2455 2482 2436 2479 2601 2580 2555 2715 3024 3278 3304 3266 3275 3444 3590 3590 3545 3473 3406 3382 3393 3391 3261 3088 3041 3090 3219 3324 3496 3670 3662 3661 3675 3716 3701 3626 3516 3413 3316 3217 3127 3034 2950 2906 2867 2824 2775 2730 2695 2662 2604 2552 2488 2429 2389 2361 2281 2222 2168 2122 2120 2099 2044 1991 1999 2009 2011 1957 1895 1807 1671 1509 1397 1337
1920 2099 2258 2338 2345 2323 2289 2248 2214 2196 2188 2180 2176 2173 2166 2160 2149 2123 2107 2085 2003 1854 1705 1588 1458 1343 1262 1168 1010 805 644 618 594 581 550 500 438 374 342 319 273 220 175 145 126 110 91 73 59 53 48 41 34 28 24 24 19 14 8 5 3 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 23 48 95 165 185 214 371 492 626 713 737 724 722 835 870 875 928 948 938 944 997 1064 1177 1211 1225 1287 1462 1742 2060 2283 2326 2313 2302 2378 2413 2372 2461 2691 2875 2884 2778 2743 2819 2808 2608 2420 2247 2160 2202 2191 1979 1766 1792 1916 1969 2064 2242 2370 2404 2659 3179 3504 3715 3782 3756 3678 3572 3483 3398 3350 3289 3214 3166 3108 3042 2983 2932 2865 2801 2721 2643 2588 2539 2480 2457 2410 2349 2308 2293 2280 2244 2190 2138 2125 2138 2133 2102 2039 1942 1832 1682 1565 1478
1912 2050 2172 2236 2248 2242 2217 2193 2184 2186 2186 2175 2161 2145 2121 2099 2082 2056 2036 2012 1930 1776 1620 1499 1386 1284 1206 1100 910 697 584 558 515 464 416 375 338 301 279 254 220 182 147 119 96 80 63 49 39 33 28 22 17 15 13 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 26 42 49 79 119 164 204 227 229 227 274 351 417 516 625 682 667 637 714 809 896 964 1032 1108 1257 1527 1826 2039 2139 2156 2142 2137 2142 2200 2321 2304 2320 2267 2121 1976 1834 1595 1360 1363 1321 1297 1363 1372 1236 1068 991 1090 1114 1206 1340 1460 1653 2013 2469 2847 3021 3251 3428 3477 3441 3358 3267 3333 3383 3369 3327 3269 3221 3163 3096 3012 2923 2834 2763 2713 2674 2604 2554 2478 2409 2398 2408 2417 2431 2428 2421 2380 2337 2297 2248 2189 2141 2037 1913 1771 1653
1882 1959 2040 2127 2131 2140 2126 2121 2134 2152 2158 2145 2126 2117 2114 2085 2068 2047 2014 1959 1846 1680 1528 1417 1315 1229 1156 1047 855 643 551 547 502 437 374 316 263 224 198 179 157 130 104 81 60 45 32 22 15 8 4 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 12 11 14 24 36 39 35 69 106 147 210 305 396 440 448 512 638 755 877 988 1089 1239 1419 1601 1770 1863 1875 1859 1860 1872 1929 1966 1861 1778 1635 1449 1320 1238 1094 924 898 904 924 933 909 868 806 782 772 781 826 904 1010 1155 1341 1566 1806 1900 2037 2216 2340 2318 2365 2393 2569 2760 2936 3098 3140 3196 3198 3171 3129 3075 3006 2928 2874 2825 2761 2706 2637 2572 2530 2507 2497 2506 2515 2508 2495 2474 2432 2360 2315 2303 2261 2167 2022 1867
1871 1917 1954 2053 2061 2066 2051 2047 2066 2092 2101 2089 2076 2089 2113 2095 2076 2057 2019 1935 1779 1579 1419 1332 1258 1181 1104 1012 877 717 620 549 462 373 293 227 181 151 127 109 94 76 58 43 30 19 12 6 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 1 2 4 6 8 13 22 28 37 47 69 113 177 258 327 428 577 707 817 928 1051 1190 1319 1428 1478 1509 1533 1548 1520 1462 1473 1474 1403 1289 1143 1004 904 852 794 736 721 722 727 733 708 664 650 639 630 614 605 625 648 687 731 807 942 1035 1088 1173 1249 1268 1305 1374 1549 1734 1866 1985 2397 2661 2809 2936 3059 3131 3132 3057 3015 2964 2925 2882 2816 2745 2704 2662 2616 2586 2563 2549 2553 2563 2557 2491 2435 2401 2390 2348 2243 2092
1876 1924 1937 1972 1987 1993 1980 1970 1986 2012 2014 1998 1997 2033 2063 2072 2064 2042 2000 1907 1723 1468 1302 1216 1154 1087 1018 954 876 739 608 487 392 313 239 174 128 97 73 61 50 37 25 19 12 6 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 2 5 16 49 43 32 32 37 54 103 204 306 429 536 617 708 824 898 953 991 1019 1031 1039 1057 1076 1055 1008 975 952 928 880 813 756 699 658 635 621 610 597 589 585 550 529 523 514 498 477 464 481 476 484 474 488 543 590 594 596 623 686 770 856 928 986 1041 1278 1582 1847 2076 2293 2498 2688 2868 2972 2981 2978 2993 2995 2970 2933 2899 2843 2791 2746 2706 2657 2612 2624 2640 2625 2590 2534 2471 2418 2345 2230
1899 1932 1938 1915 1905 1905 1898 1886 1905 1923 1884 1877 1924 1989 2027 2028 2009 1980 1933 1834 1658 1418 1247 1087 966 908 893 859 796 637 521 431 356 278 197 132 88 52 31 21 15 11 9 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 19 58 57 38 31 32 45 96 196 281 348 381 401 441 482 491 507 506 500 501 515 525 570 604 624 634 629 613 588 557 533 516 508 494 486 484 475 463 446 410 382 371 357 331 308 287 277 276 289 297 315 342 359 338 335 369 400 440 500 582 605 636 876 1094 1297 1502 1666 1832 2040 2248 2490 2593 2691 2834 2946 2992 3015 3008 2982 2940 2882 2819 2767 2708 2676 2680 2696 2680 2616 2535 2446 2362 2271
1948 1919 1885 1860 1828 1808 1785 1696 1650 1700 1707 1723 1792 1867 1912 1911 1867 1798 1717 1598 1515 1372 1167 934 766 714 730 724 672 581 505 422 326 230 144 82 35 18 11 7 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 35 42 39 32 31 40 84 135 165 170 163 158 151 112 108 128 134 127 127 144 157 170 201 257 305 329 330 327 312 309 321 323 314 310 306 292 273 239 217 197 177 160 147 139 124 116 107 106 122 138 153 180 171 174 180 186 189 209 275 327 386 468 533 678 922 1103 1350 1600 1671 1849 2036 2181 2330 2462 2667 2848 2960 3022 3026 2993 2926 2906 2844 2774 2714 2692 2710 2671 2591 2485 2388 2315
2009 1900 1779 1800 1796 1758 1678 1555 1506 1569 1550 1519 1581 1656 1707 1697 1623 1516 1410 1395 1304 1138 956 764 624 590 617 583 536 474 404 327 242 155 85 33 17 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 34 50 27 19 27 43 53 53 47 37 32 23 12 7 10 16 17 13 18 29 33 31 38 63 88 96 110 112 108 90 84 107 110 102 104 98 83 64 49 55 55 51 47 48 51 52 54 62 73 75 83 86 90 95 103 103 93 96 137 171 206 229 247 376 531 754 1131 1451 1576 1662 1756 1822 1886 2107 2413 2690 2882 2995 3025 3018 3017 2972 2887 2788 2722 2712 2691 2660 2565 2466 2386
2042 1885 1670 1664 1758 1749 1637 1494 1398 1367 1343 1339 1394 1378 1405 1428 1403 1347 1248 1193 1079 857 690 571 486 461 451 396 344 276 218 159 106 76 37 16 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 34 16 8 8 9 9 8 8 4 2 1 0 0 0 1 2 0 3 4 4 2 3 10 15 19 20 22 22 21 19 20 24 27 27 26 23 21 22 23 25 26 23 23 25 27 30 35 43 43 46 52 60 65 72 83 78 76 78 86 98 119 130 163 235 309 522 826 1059 1213 1443 1591 1711 1860 2034 2237 2454 2656 2759 2869 2980 3008 2948 2873 2787 2739 2736 2726 2664 2567 2470
2030 1909 1691 1607 1658 1675 1609 1498 1405 1346 1269 1206 1208 1210 1261 1280 1196 1047 882 734 620 483 403 358 304 266 225 188 162 117 90 67 37 28 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 2 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 3 2 0 3 5 7 7 5 4 7 11 9 9 10 10 10 10 12 12 19 25 26 26 31 42 51 55 56 57 57 60 66 75 84 94 111 142 170 234 336 473 573 976 1277 1513 1713 1813 1843 1973 2125 2275 2507 2781 2920 2900 2866 2848 2831 2828 2806 2746 2656 2576
2041 1916 1708 1594 1579 1564 1496 1373 1232 1124 969 966 1001 1001 944 823 665 534 456 379 316 241 196 168 127 96 76 58 61 44 28 21 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 4 4 3 5 6 10 15 17 18 17 25 34 38 40 41 45 50 56 63 73 85 94 107 123 146 190 287 340 560 798 1002 1240 1426 1521 1666 1769 1840 2007 2351 2588 2636 2694 2784 2832 2841 2824 2784 2736 2690
1955 1842 1709 1592 1495 1413 1326 1213 1074 935 875 785 726 621 462 318 247 215 180 139 109 91 73 51 33 18 13 13 15 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 3 5 7 8 11 14 15 16 19 26 31 34 38 45 50 58 68 79 87 92 93 101 122 180 247 380 545 590 658 811 1064 1284 1407 1475 1605 1890 2052 2191 2338 2443 2522 2650 2742 2757 2777 2769
1763 1684 1596 1478 1369 1268 1136 965 793 599 508 456 375 268 167 100 75 62 53 45 36 22 11 6 4 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 3 3 7 10 12 13 18 25 29 34 41 45 52 61 71 78 80 80 99 107 120 162 260 433 474 527 602 701 777 813 913 1233 1577 1697 1822 1946 2065 2252 2500 2516 2595 2698 2782
1553 1460 1380 1297 1211 1033 822 674 539 413 309 220 142 80 39 18 12 11 12 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 1 5 10 11 13 18 24 28 32 34 38 46 54 59 64 68 70 80 91 99 110 145 252 318 381 474 559 505 363 434 699 1049 1300 1445 1586 1738 1914 2017 2143 2335 2575 2767
1377 1234 1135 1047 920 753 577 416 286 192 115 79 44 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 5 8 9 12 18 24 27 29 30 33 40 47 47 51 54 57 61 69 82 93 114 153 186 205 338 572 509 351 459 537 604 762 921 1177 1445 1674 1806 1926 2099 2284 2434
1174 1000 885 769 609 432 282 176 109 75 34 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 2 4 5 6 10 16 20 23 24 26 33 41 46 45 44 44 46 49 55 63 77 92 113 138 158 190 346 392 421 581 700 684 598 533 767 1045 1324 1572 1750 1816 1832 1872
945 752 599 466 337 219 130 71 31 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 12 15 16 16 20 34 43 47 45 42 41 42 46 52 58 68 80 97 121 141 143 161 219 331 511 714 837 667 489 508 610 811 1159 1566 1653 1721 1737
606 436 328 237 148 71 22 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 8 9 10 15 31 40 42 41 39 37 39 48 58 65 74 85 95 104 109 120 133 166 236 335 436 586 572 512 452 390 390 725 1249 1525 1698 1804
324 221 158 101 51 18 8 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 2 3 8 15 27 35 38 38 37 38 44 53 65 78 89 97 104 107 103 101 119 155 202 258 305 377 438 507 572 544 409 647 1007 1385 1620 1614
143 92 53 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 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 15 25 34 38 37 38 45 54 62 71 84 98 109 114 114 105 99 107 137 185 247 280 304 348 457 678 817 722 736 1003 1419 1675 1604
29 15 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 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 23 30 35 36 40 50 61 68 69 78 94 110 119 121 118 111 110 132 170 223 253 254 258 315 572 792 895 913 1012 1325 1535 1578
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 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 17 23 28 32 37 46 53 56 58 68 86 104 118 126 128 122 117 131 157 194 216 213 240 285 445 644 875 1041 993 1105 1174 1306
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 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 16 21 25 28 32 37 41 50 62 79 95 110 124 135 136 133 136 148 172 209 190 237 305 415 557 727 930 947 978 978 1048
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 3 2 2 2 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 13 15 16 18 21 27 39 55 72 88 104 118 136 142 141 143 149 154 186 190 214 283 395 512 585 651 751 864 935 989
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 11 11 10 19 32 47 63 81 99 114 128 135 137 141 151 156 167 175 182 218 305 411 460 457 544 694 836 937
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 1 1 1 1 1 1 2 4 4 3 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 7 15 25 37 53 70 87 100 111 118 125 130 141 151 161 166 165 169 219 300 363 385 451 589 731 844
0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 0 1 1 1 1 1 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 7 15 24 33 50 65 75 83 89 97 108 116 127 135 142 148 153 151 173 223 284 340 397 491 622 717
0 0 0 1 1 2 2 1 1 1 1 0 1 1 2 2 2 2 3 3 3 2 1 1 1 0 0 0 0 0 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 14 27 40 52 63 71 74 75 79 87 98 110 120 131 141 143 141 148 174 212 251 298 380 490 570
1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 3 3 2 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 5 9 13 17 29 41 49 56 62 66 66 65 69 80 92 103 117 130 138 138 139 147 156 171 210 269 346 417
1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 4 4 3 2 2 2 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 9 13 17 23 31 38 43 47 49 49 48 51 57 66 76 85 98 117 130 133 133 133 140 151 174 211 263 317
1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 3 4 3 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 12 14 20 25 31 35 38 41 43 44 43 42 44 51 60 68 78 87 101 114 121 123 121 129 147 173 211 266 297
1 1 1 1 1 1 1 1 1 2 2 2 2 1 2 2 3 3 2 2 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 5 9 14 18 21 25 29 32 35 38 40 41 41 41 41 44 51 59 70 80 88 98 107 114 114 116 124 143 170 207 283 316
1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 2 4 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 1 2 4 4 4 3 3 4 9 14 20 24 26 28 30 32 33 36 37 39 40 42 44 47 51 58 70 80 89 97 104 107 107 111 122 140 159 197 280 351
1 1 1 1 1 1 1 1 2 2 2 3 3 3 2 2 3 2 3 3 5 6 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 2 9 12 11 8 7 8 7 8 9 11 15 19 23 26 28 31 32 33 33 34 37 38 40 43 45 46 47 51 57 67 79 89 96 99 100 101 104 111 129 147 190 266 357
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