Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 7 7 7 7 6 5 4 4 5 5 5 5 4 5 5 6 6 7 7 7 8 9 9 9 9 8 6 5 6 7 9 12 13 13 13 12 10 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 12 12 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 12 13 13 13 11 10 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 8 7 7 7 8 8 8 9 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 5 6 6 7 7 7 7 6 5 4 4 5 5 6 5 4 4 5 6 7 7 7 7 7 7 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 9 8 8 7 6 5 5 5 5 5 6 6 5 5 5 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 12 11 11 10 8 8 8 8 8 8 8 8 7 7 8 8 9 9 10 10 11 11 12 13 13 13 12 10 9 7 7 7 7 7 8 9 9 9 9 8 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 10 9 9 9 8 8 7 7 8 8 8 9 9 9 10 11 11 11 11 10 10 9 9 9 10 9 9 9 9 9 9 9 9 9 8 8 nan
nan 6 6 6 6 7 7 6 6 5 5 5 5 6 6 5 4 4 4 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 9 9 9 9 9 8 7 6 5 5 6 6 6 6 5 5 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 10 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 10 11 11 12 13 13 12 11 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 10 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 nan
nan 7 7 7 6 6 6 6 5 5 5 5 6 7 8 7 6 5 5 5 6 6 6 6 6 7 7 8 8 8 7 7 7 7 7 6 6 6 6 7 8 9 10 11 12 11 10 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 12 12 11 10 10 9 9 9 9 8 8 8 8 7 7 8 8 8 8 9 9 10 11 11 12 13 12 11 10 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 nan
nan 9 8 7 6 6 5 5 5 5 5 6 8 10 11 12 11 9 8 7 6 6 5 6 6 7 8 8 9 8 7 6 5 5 5 6 5 4 4 5 7 9 11 13 14 14 12 9 8 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 6 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 11 11 11 12 12 12 11 10 10 10 9 9 8 8 8 8 8 8 7 7 8 8 8 9 10 10 11 12 13 12 12 10 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 nan
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nan 13 10 8 6 5 5 6 7 9 12 17 21 24 26 27 27 25 22 16 11 8 6 5 6 6 6 7 8 8 7 6 5 4 5 5 4 2 2 5 9 13 16 18 17 15 13 11 8 7 7 6 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 10 9 9 9 8 8 8 8 8 8 8 8 9 10 11 12 14 14 14 13 11 9 8 8 8 8 8 8 8 7 7 7 8 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 8 8 8 8 8 9 9 9 10 10 9 9 9 9 8 8 8 9 9 8 8 9 9 9 9 9 9 9 9 nan
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nan 19 19 18 18 17 17 17 16 16 16 16 16 15 15 14 14 14 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 9 9 9 10 10 10 10 10 10 10 11 12 13 14 14 13 13 14 13 13 13 12 11 9 7 6 6 7 7 7 6 6 7 9 12 15 16 14 9 5 2 2 5 7 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 13 14 14 14 13 13 nan
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nan 18 18 18 19 19 19 20 19 19 19 18 18 18 17 17 16 15 14 13 13 13 12 12 11 11 11 12 13 13 14 14 14 14 14 13 12 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 11 11 12 12 11 10 10 11 13 14 15 15 14 13 12 10 10 10 11 12 13 13 13 13 14 15 15 15 13 11 10 10 10 12 13 15 14 12 10 8 7 9 12 15 17 15 11 6 4 5 7 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 12 12 13 14 14 nan
nan 16 17 18 18 19 19 20 20 19 19 19 18 17 17 16 16 15 15 14 14 14 13 13 12 12 12 12 13 14 14 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 11 10 9 10 12 14 16 17 16 15 14 12 11 10 10 10 11 12 13 13 14 15 16 15 12 9 8 8 9 10 12 14 14 13 11 9 8 10 13 16 17 14 9 5 4 6 8 10 10 10 9 9 9 10 10 10 10 11 11 11 11 10 11 11 11 11 12 12 13 13 13 12 11 11 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 nan
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nan 15 15 16 16 16 16 16 17 17 17 18 18 19 19 19 19 19 19 18 19 19 19 20 20 19 18 18 17 16 15 15 15 15 15 15 14 14 13 13 12 11 11 11 11 11 11 12 12 13 13 13 14 14 14 14 14 13 13 11 10 10 10 10 9 9 10 10 10 11 10 9 9 9 9 9 10 10 10 11 12 14 15 16 15 14 13 11 12 13 14 14 13 12 11 9 9 9 10 11 12 14 17 19 19 18 15 13 13 14 15 15 10 3 -1 -3 -1 3 8 10 11 11 10 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 9 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 nan
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nan 12 13 14 14 15 16 16 17 18 19 19 20 21 21 22 22 23 22 22 21 20 19 19 18 17 16 15 16 17 18 18 18 17 15 15 16 16 16 15 15 14 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 13 12 10 7 7 7 9 11 11 12 12 12 12 13 13 13 14 15 15 16 15 15 15 16 16 15 14 12 12 13 14 14 12 10 8 8 8 9 11 12 13 14 15 15 15 16 18 19 18 17 16 15 13 8 4 -1 -3 -0 5 9 10 11 11 11 11 11 11 12 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 12 12 12 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 12 13 13 14 15 16 17 18 20 21 22 23 23 24 24 24 23 22 21 20 20 18 17 16 15 15 15 16 17 18 18 17 15 14 15 15 16 17 17 16 15 14 13 12 12 13 14 15 16 16 16 15 15 14 14 14 14 12 11 8 7 6 7 8 9 10 11 11 11 11 12 12 13 14 15 15 15 14 14 13 13 13 13 12 12 13 14 14 13 11 10 9 10 11 12 14 15 16 16 16 15 18 21 22 21 19 16 14 11 7 2 -2 -2 2 6 9 10 11 11 11 11 11 11 12 12 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 nan
nan 10 11 12 13 14 15 16 17 19 20 21 22 24 24 25 25 25 24 24 23 22 21 20 18 17 16 16 16 17 18 19 19 17 15 14 13 14 15 16 17 17 16 15 12 10 10 10 12 13 15 16 16 15 15 14 14 14 14 13 13 11 9 8 8 9 9 9 9 10 10 10 11 12 12 13 13 14 13 12 12 11 12 13 14 15 17 19 20 19 16 13 10 9 9 11 13 15 17 18 17 17 16 17 19 19 19 17 16 13 9 4 0 -2 -1 3 7 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 nan
nan 10 10 11 12 13 14 15 17 18 19 21 22 24 25 26 27 28 28 28 27 25 23 21 20 19 18 18 18 19 19 19 19 18 17 15 14 13 13 15 16 16 16 15 12 10 10 10 11 13 15 16 15 15 14 14 14 14 14 14 13 12 11 11 11 11 11 10 9 9 10 10 11 12 12 12 12 12 12 11 11 11 11 13 15 19 22 23 22 19 14 9 7 7 8 10 13 15 17 18 18 18 16 15 16 17 17 16 14 11 6 1 -2 -2 2 5 8 10 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 10 10 11 11 12 13 14 16 17 18 20 22 24 26 28 29 29 30 29 27 25 22 21 20 20 21 21 21 21 21 20 19 18 16 15 14 13 14 15 16 16 15 14 13 11 11 12 13 15 16 16 16 15 15 14 14 14 14 14 14 13 13 13 14 14 14 12 11 10 10 11 12 13 13 13 13 12 11 11 10 10 11 13 15 18 20 19 17 12 7 5 5 6 8 10 12 14 15 18 20 20 19 17 16 16 16 16 12 8 2 -2 -3 -1 4 6 9 10 10 10 10 10 10 11 11 12 12 12 12 13 12 12 12 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 nan
nan 11 11 11 12 13 14 14 14 15 17 19 22 24 26 26 26 26 26 25 23 22 22 22 23 24 24 25 24 23 22 20 17 16 15 14 13 13 14 15 16 16 16 14 13 13 13 13 15 16 16 17 16 16 15 14 14 14 15 15 14 14 13 14 14 15 15 14 13 12 12 12 14 15 15 15 14 14 12 10 10 10 11 12 13 14 15 13 11 6 3 4 5 7 9 10 11 12 14 17 22 23 22 20 17 15 13 11 8 4 -1 -2 -1 3 6 8 9 10 10 10 10 11 11 11 12 12 12 12 13 13 13 12 12 12 12 11 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 nan
nan 12 13 14 15 15 15 14 13 13 14 16 19 22 23 22 21 21 20 20 19 20 21 23 24 25 25 25 24 23 22 19 16 15 14 13 13 13 13 14 15 15 15 14 13 13 13 13 14 14 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 15 15 15 14 14 14 14 14 15 16 17 17 15 13 10 9 9 10 11 11 11 12 12 10 7 6 6 7 9 10 11 11 12 13 17 20 22 22 20 17 14 10 6 3 1 -0 1 3 6 8 9 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 12 13 13 14 14 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 nan
nan 15 16 16 15 14 13 12 10 9 10 11 14 18 19 18 17 17 17 18 18 19 20 21 22 23 22 22 22 22 21 19 16 15 14 13 13 13 13 13 14 14 13 13 13 13 12 12 12 12 13 13 13 13 14 13 13 13 13 13 13 13 14 14 14 14 14 15 14 14 14 14 14 15 16 17 17 15 13 11 9 9 10 11 11 11 12 11 11 10 10 9 9 10 11 12 12 12 13 15 17 17 17 16 14 12 8 5 3 2 3 6 7 9 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 nan
nan 15 16 14 12 10 9 10 9 8 7 7 10 14 15 16 15 15 16 18 19 20 20 21 21 21 21 21 21 21 20 19 17 16 15 14 13 13 13 13 13 13 13 12 12 12 12 12 11 12 12 12 12 12 12 13 13 13 13 12 13 13 13 13 14 14 14 14 15 14 14 14 14 14 15 16 16 15 14 12 11 11 12 12 13 13 12 11 10 10 10 10 10 11 12 12 12 12 12 13 13 13 12 12 12 11 10 9 7 6 7 8 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 13 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 11 10 10 10 11 11 11 11 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 nan
nan 13 13 11 8 6 7 10 10 10 8 8 10 13 15 15 15 15 17 19 20 21 22 22 22 22 22 22 22 22 21 20 19 17 16 15 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 14 14 15 15 15 15 15 14 14 14 14 15 15 15 14 14 13 13 13 13 13 13 12 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 34 55 79 103 126 149 171 196 227 250 255 247 229 205 190 192 211 235 248 235 214 196 187 194 227 291 379 479 574 641 680 706 716 707 683 667 619 551 481 423 375 323 277 239 201 173 150 132 117 103 90 81 72 65 59 51 48 47 45 40 45 28 12 4 5 5 6 7 9 11 13 15 17 20 23 27 32 39 47 54 58 63 68 72 75 75 73 72 73 73 72 67 67 67 67 68 71 68 59 48 38 28 23 19 17 17 15 12 9 8 6 4 2 3 5 7 8 9 8 9 9 9 8 7 7 7 8 8 9 10 11 12
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 44 56 72 98 113 132 154 179 202 218 223 217 203 185 164 151 149 164 188 210 217 214 204 195 194 215 286 377 478 576 642 674 699 711 708 694 686 658 611 554 495 456 375 307 262 219 188 167 151 139 125 109 95 84 76 69 62 59 58 56 51 46 30 13 3 4 5 6 7 9 10 12 14 16 18 21 25 32 41 49 55 57 62 65 67 68 69 69 70 71 71 70 66 64 64 65 66 71 69 65 58 50 40 32 28 26 23 19 14 12 10 8 6 4 3 5 7 8 9 8 8 8 8 8 8 8 8 9 10 11 12 12 12
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 30 74 76 79 97 125 153 176 194 202 197 193 191 186 177 163 149 138 141 157 178 195 207 216 221 228 248 302 381 472 565 648 710 737 740 728 710 704 690 663 621 566 525 420 333 278 238 207 184 170 159 147 134 118 101 86 73 65 59 57 55 53 51 39 19 6 4 4 6 7 8 9 11 13 15 16 19 25 35 45 54 59 61 63 64 65 66 67 65 68 67 65 62 59 59 65 70 70 70 70 68 65 61 54 45 40 36 30 24 17 14 12 9 8 5 4 4 6 8 8 8 8 8 9 9 9 9 10 10 12 13 13 13 14
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 38 68 81 98 123 155 184 193 192 184 174 172 180 191 197 194 175 154 148 151 160 174 195 219 237 251 275 319 385 470 565 661 732 732 703 682 701 720 720 708 685 648 587 473 377 310 267 233 204 185 174 163 152 137 119 99 80 67 59 55 53 52 50 43 31 16 5 3 4 6 8 9 10 11 12 14 18 23 31 38 46 54 62 64 65 67 69 71 70 68 63 59 58 60 63 68 72 73 72 71 70 70 69 64 55 48 41 34 28 18 15 13 12 10 8 6 5 6 8 8 8 9 9 10 9 10 11 12 13 14 15 15 16 17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 19 33 52 77 109 144 177 198 189 176 167 165 172 187 203 211 209 190 172 160 152 149 154 173 206 243 284 327 383 446 515 591 670 739 750 724 699 707 733 738 730 711 684 631 519 413 337 296 267 230 204 187 175 165 152 135 114 92 78 67 60 54 51 48 43 32 17 5 2 3 4 6 8 8 9 10 13 16 21 26 29 39 49 55 56 57 58 60 61 63 62 60 57 58 62 67 73 77 78 75 73 72 73 71 65 58 50 42 34 27 19 16 15 14 12 11 8 6 7 8 9 9 9 10 11 11 12 13 14 15 15 16 17 18 19
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 24 36 61 90 117 142 161 171 166 161 160 167 184 204 214 212 200 183 170 158 148 140 135 142 171 219 278 342 413 483 550 618 686 754 791 793 776 760 756 752 740 723 700 664 581 489 416 365 310 265 228 201 184 174 163 151 132 110 95 84 73 63 55 49 43 31 17 6 1 2 4 5 7 9 9 10 13 16 21 25 29 35 43 49 51 51 51 51 51 52 53 54 55 56 61 68 73 76 78 77 76 75 73 69 62 55 48 40 33 25 20 17 16 16 14 13 11 8 8 8 9 10 10 12 12 13 14 16 17 17 17 18 19 20 21
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 38 62 81 98 116 131 140 142 150 163 182 210 242 252 233 205 182 167 154 143 134 126 123 149 203 273 352 435 517 591 657 718 774 809 797 762 738 769 757 753 746 731 708 653 569 489 421 350 296 246 207 183 176 167 159 145 127 112 99 86 73 60 51 42 28 15 5 1 2 3 5 7 7 8 10 12 15 20 29 34 38 42 45 47 48 47 45 43 45 48 49 49 49 57 64 69 72 75 77 78 78 74 67 59 53 44 36 30 25 22 20 19 18 17 17 15 11 9 9 10 11 12 13 14 14 15 17 19 18 20 20 20 21 22
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