Vorticity
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nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 6 6 6 7 7 8 8 8 8 7 7 7 7 6 6 5 5 6 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 7 7 7 8 10 13 15 16 16 16 16 17 17 18 18 17 15 12 9 7 6 7 8 8 8 8 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 nan
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nan 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 8 8 8 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 10 13 15 16 17 17 17 17 18 18 18 16 15 13 11 9 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
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nan 10 10 11 11 12 12 11 11 11 12 12 13 13 14 14 14 13 13 13 13 13 13 13 12 11 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 11 9 8 7 7 8 8 8 7 6 5 4 5 6 8 10 12 13 13 11 10 8 7 6 5 6 6 7 8 9 10 11 11 10 9 8 6 5 7 9 11 12 12 11 10 9 9 8 7 8 9 9 10 12 13 13 14 15 15 15 15 14 13 12 10 9 9 10 11 13 17 20 22 21 18 14 12 10 10 10 10 11 10 10 10 11 11 nan
nan 9 10 10 11 11 11 11 10 10 11 11 12 12 13 13 13 13 13 13 13 14 14 13 12 11 10 10 11 11 12 13 13 13 13 12 12 12 12 12 12 12 12 11 11 12 12 11 10 9 8 8 8 8 8 7 7 6 5 5 5 6 8 9 11 10 10 9 9 8 7 7 7 7 8 9 9 10 11 12 12 12 11 8 7 7 8 9 11 12 12 12 11 10 8 7 7 8 9 10 11 12 13 13 14 15 15 15 14 13 12 10 9 9 10 12 14 17 20 22 20 16 14 12 10 10 10 10 10 10 10 10 10 11 nan
nan 9 10 10 11 11 10 10 10 11 11 12 12 12 11 11 12 12 12 12 12 13 13 13 12 11 11 11 12 12 12 13 14 13 12 12 11 12 12 12 12 12 11 11 11 12 12 12 11 10 9 8 7 7 7 7 8 7 7 6 6 6 7 8 8 8 9 9 9 8 8 8 8 8 9 9 10 10 11 12 12 13 13 11 10 10 9 9 9 8 8 7 5 4 4 5 7 8 10 10 11 11 12 13 14 14 15 15 14 13 12 11 10 10 11 13 16 20 22 23 20 16 14 12 11 10 10 10 10 10 10 10 10 10 nan
nan 9 10 11 11 11 10 10 11 11 12 12 12 11 11 10 10 10 10 10 11 11 12 12 11 11 11 12 12 12 12 13 13 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 9 8 8 7 7 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 13 13 13 13 12 10 7 5 2 -0 -1 -1 1 5 7 9 10 10 11 11 11 12 13 14 15 15 14 14 14 13 12 12 12 15 19 22 23 21 18 15 12 11 11 11 11 11 11 10 10 10 10 10 nan
nan 10 10 11 11 11 11 11 11 12 12 13 12 12 11 10 9 9 9 9 9 10 10 11 10 10 11 11 12 12 12 12 12 11 11 10 10 11 11 12 12 12 12 11 11 10 10 10 11 11 11 11 11 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 10 11 11 11 11 11 11 11 11 12 12 13 14 14 15 15 15 13 11 7 3 1 1 2 5 7 8 9 10 10 10 11 11 12 13 14 15 15 16 16 17 16 14 13 12 15 20 22 21 18 15 12 11 10 11 11 11 11 11 11 10 10 10 10 nan
nan 10 11 11 11 11 11 12 12 13 13 13 13 12 12 11 10 9 8 8 9 9 9 9 10 10 10 11 11 12 12 12 11 11 11 10 10 10 10 10 11 12 12 12 11 11 11 10 10 11 12 12 12 12 11 10 9 8 8 9 9 8 8 7 7 7 7 7 8 10 12 13 14 14 13 12 12 12 13 13 14 15 16 16 16 16 16 16 14 13 10 8 8 8 8 9 9 9 9 10 10 11 11 12 13 14 15 16 17 19 20 18 15 13 12 15 18 19 18 15 12 10 10 10 10 10 10 11 11 11 11 10 10 10 nan
nan 10 11 11 11 12 12 12 13 13 13 13 13 13 13 12 11 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 12 12 13 13 12 11 10 10 10 10 9 9 8 8 7 7 7 8 10 12 14 15 15 14 13 13 13 14 16 17 17 17 16 15 15 14 14 14 14 13 12 11 10 9 8 8 8 9 9 10 10 11 12 13 14 16 18 20 22 21 19 15 11 11 13 15 15 14 12 11 10 10 10 10 10 10 11 11 11 10 10 10 10 nan
nan 10 11 11 11 11 12 12 13 13 14 13 13 13 13 13 12 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 10 9 8 8 7 7 8 8 9 9 10 11 12 12 13 13 13 13 12 12 12 13 14 14 14 14 13 13 12 10 10 9 8 8 8 8 9 10 11 13 14 14 14 13 13 13 15 16 17 17 16 14 12 11 10 11 11 12 12 12 11 10 9 8 8 8 8 9 9 10 11 12 14 15 17 20 22 24 23 19 15 11 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 10 10 11 11 12 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 11 11 11 11 10 10 10 11 10 9 8 7 7 7 7 8 8 9 9 10 11 12 13 13 14 14 13 13 14 14 15 16 16 17 17 16 15 13 11 10 9 8 8 8 9 9 10 11 12 13 13 13 12 12 13 13 14 14 13 12 10 9 8 8 9 11 11 11 10 9 9 8 8 7 8 8 9 9 10 12 14 16 20 22 24 24 22 18 14 12 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 9 10 10 11 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 10 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 10 10 11 12 12 13 13 14 14 15 15 16 16 17 18 18 18 17 15 13 11 10 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 11 12 13 12 9 8 8 10 11 11 10 9 9 9 9 8 8 8 8 8 9 10 11 14 18 22 23 23 21 17 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 12 13 14 14 15 16 16 17 17 18 18 17 16 14 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 8 8 9 12 13 13 11 9 9 11 12 11 10 9 9 9 9 9 8 8 8 8 8 8 10 14 19 22 23 21 17 13 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 nan
nan 10 9 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 11 11 12 11 11 11 10 10 10 10 10 10 10 11 11 12 13 14 14 14 14 15 15 16 16 17 16 15 14 13 13 13 13 12 11 11 10 9 9 9 9 10 10 10 10 9 9 11 12 12 10 9 10 11 12 12 11 10 10 10 10 10 9 9 9 9 8 8 9 13 18 21 20 18 13 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 14 14 15 16 16 16 15 15 14 14 13 11 10 9 9 9 10 10 10 11 11 11 10 10 11 11 10 8 8 9 11 13 13 12 11 10 10 10 11 10 10 10 10 9 9 10 13 17 18 17 15 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 6 6 6 6 7 8 8 9 10 10 11 12 13 13 13 13 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 15 16 17 17 16 15 15 13 12 11 9 9 8 9 10 10 11 11 11 11 11 11 11 10 9 8 8 9 12 13 13 12 11 10 10 11 12 11 11 11 10 10 11 12 14 16 16 15 13 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 8 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 5 5 5 6 7 7 8 8 9 10 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 11 12 12 12 12 12 12 12 12 13 14 16 16 17 16 15 14 12 11 9 9 8 8 9 9 10 11 11 11 11 10 10 10 9 9 8 9 10 13 14 13 12 11 11 11 12 13 12 12 11 10 10 11 13 14 15 14 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 8 9 9 9 10 10 9 9 8 7 7 7 7 7 8 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 7 8 9 10 10 11 11 12 13 13 14 14 13 13 13 13 12 11 11 11 12 12 12 12 12 12 12 12 13 14 15 16 16 15 13 12 11 9 8 8 8 9 9 10 10 11 11 11 10 10 9 8 8 8 9 10 11 12 12 13 12 12 12 12 13 13 12 11 10 9 9 9 11 12 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 8 9 10 10 11 11 11 10 9 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 5 6 7 8 9 9 9 10 11 12 13 14 14 13 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 13 14 14 15 15 14 13 11 10 8 8 8 8 9 10 10 10 11 11 10 10 9 9 8 7 8 8 10 11 11 11 11 12 12 12 12 12 11 11 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 nan
nan 9 10 11 12 13 13 13 13 12 10 9 8 7 7 7 7 7 7 7 7 7 8 8 10 10 11 10 9 7 6 5 6 7 7 8 9 9 10 11 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 11 12 12 12 13 13 14 15 15 14 12 11 9 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 8 8 8 9 10 10 10 10 10 11 11 11 10 10 10 9 9 10 10 10 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 nan
nan 9 11 12 14 15 16 16 15 14 12 11 9 8 8 8 7 7 7 7 7 8 9 9 11 12 12 13 12 10 9 7 7 8 10 11 11 11 11 12 12 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 13 14 15 15 15 14 13 11 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 12 14 16 17 18 17 16 15 14 13 12 11 10 10 9 8 7 7 8 8 9 10 10 10 11 12 13 13 11 10 10 11 13 15 16 14 14 13 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 13 14 15 15 14 13 12 10 9 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 10 10 9 9 8 8 7 7 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 12 14 15 17 17 17 16 16 15 15 15 15 14 14 13 11 10 9 9 10 10 11 11 11 11 11 12 12 13 12 11 11 12 14 16 17 16 15 13 12 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 13 13 14 14 14 14 12 11 10 9 8 8 8 9 9 9 9 8 8 9 9 10 10 9 9 9 9 9 9 9 8 7 6 6 7 8 9 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 12 13 14 15 15 15 14 14 14 15 15 16 16 15 15 14 13 12 12 12 12 12 13 14 14 14 13 13 13 12 12 11 11 12 14 15 15 14 13 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 14 14 14 13 12 10 9 8 8 8 8 9 9 9 9 9 9 10 10 10 8 7 7 7 8 10 10 10 8 7 6 7 8 9 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 11 11 12 13 13 12 12 12 12 13 13 14 14 14 15 15 14 14 13 13 12 13 14 15 16 16 16 14 14 13 13 13 13 13 14 15 14 13 11 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 14 14 14 14 13 12 11 10 8 8 8 8 8 8 9 9 9 10 11 11 10 8 7 7 8 11 13 14 13 11 9 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 10 11 11 11 11 11 11 11 11 11 11 11 12 14 15 15 14 13 12 12 12 14 15 16 17 16 15 14 14 14 14 15 15 15 15 13 12 10 9 10 10 10 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 13 13 13 14 14 14 14 13 12 12 10 9 9 8 8 8 9 9 10 10 11 11 11 10 9 8 8 10 13 16 17 17 15 12 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1 1 1 2 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 0 0 0 1 3 4 6 11 15 16 13 9 4 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
2 2 2 3 2 1 1 1 1 1 0 0 0 0 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 2 2 3 4 4 4 7 5 2 0 0 0 2 5 9 12 13 16 15 11 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
2 2 2 2 1 1 0 1 1 0 0 0 0 0 0 1 1 1 1 2 2 1 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 2 5 7 8 8 7 6 4 3 2 1 0 0 1 3 5 9 13 16 16 14 11 7 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
1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 12 10 6 4 3 2 1 0 0 2 6 12 17 19 19 16 10 6 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
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 1 0 0 0 1 2 1 1 1 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 9 9 7 3 2 0 0 1 0 1 3 8 16 24 22 16 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 0
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 1 1 2 3 5 5 3 2 3 4 7 10 12 14 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 9 8 6 3 2 0 0 0 0 1 3 7 14 22 27 24 15 7 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 1 1 1 0 0 1 2 2 2 3 4 4 3 1 2 5 9 16 23 23 20 16 9 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 2 2 2 1 0 0 0 0 1 3 6 11 20 27 29 23 12 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 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 3 4 3 1 3 7 12 15 20 25 20 12 8 6 6 5 4 2 2 0 1 1 2 1 0 0 0 0 0 1 2 4 4 4 3 1 1 0 1 1 2 3 6 10 17 23 23 18 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 4 5 3 2 4 7 7 8 11 15 19 20 20 19 15 10 6 4 6 7 7 6 12 8 5 3 3 2 0 0 0 0 1 2 2 2 2 1 0 1 2 5 7 9 13 16 18 20 21 18 11 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 0 0 0 0 0 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 1 1 1 1 1 1 2 2 2 2 1 1 3 8 14 18 21 23 25 25 24 21 18 17 16 14 12 10 9 8 8 11 10 8 6 3 1 0 0 0 0 1 0 1 2 2 3 3 7 12 17 19 19 22 24 21 16 9 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 0 0 0 0 0 0 0 0 1 4
1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 3 3 2 1 3 6 12 21 29 35 36 33 29 25 22 21 21 21 20 18 18 16 13 11 9 7 6 6 5 3 1 0 0 1 3 6 7 6 5 5 9 14 17 17 15 12 11 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 2 7 8 12 19 26 26 26 28 29 29 26 28 30 30 28 29 29 26 20 14 11 8 8 7 6 3 2 1 4 9 17 23 18 11 6 4 4 3 2 0 0 1 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 1 2 3
1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 2 6 12 15 14 14 16 20 23 26 30 33 34 35 36 31 25 21 18 14 11 8 4 2 4 4 5 8 14 19 22 15 8 3 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 1 2 2 3
1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 3 6 7 7 5 5 6 10 14 15 17 19 19 22 21 19 18 17 11 8 5 6 10 14 11 8 8 11 10 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 4 5
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 2 3 4 5 7 9 9 8 8 9 10 9 6 5 5 9 20 32 22 14 10 10 6 2 1 1 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 1 1 1 2 3 3 4 4 5 5 6 6 7
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 0 0 0 1 4 8 11 15 16 15 10 8 7 6 6 7 8 10 11 16 28 45 32 22 15 10 7 4 5 5 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 1 2 1 3 4 4 4 5 5 5 6 7 8 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 1 1 1 1 3 9 15 17 19 19 17 15 18 23 27 29 28 26 26 26 27 28 30 27 22 16 11 9 8 7 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 1 2 3 4 4 5 5 6 6 7 7 7 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 1 2 2 3 3 4 5 5 6 12 18 24 29 39 46 49 48 40 34 31 31 30 26 22 21 19 17 14 11 9 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 0 0 0 0 0 0 0 0 0 1 1 1 0 2 4 5 5 5 6 7 7 8 9 9 9
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 3 5 5 5 6 10 19 28 32 31 30 40 42 39 34 28 26 28 29 29 26 23 21 20 19 17 9 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 4 5 5 7 8 10 11 10
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 5 8 10 12 17 27 37 40 38 31 22 25 25 24 24 25 26 27 26 25 27 28 28 24 18 11 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 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 1 2 2 2 2 1 1 1 2 4 6 6 5 5
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 11 15 16 20 26 28 25 24 22 20 18 19 20 21 21 22 22 22 24 30 38 39 31 18 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 1 1 0 0 1 1 3 5 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 1 1 1 2 3 3 2 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 12 17 24 22 21 19 14 7 7 10 15 21 23 23 22 20 19 21 26 32 38 40 34 18 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 2 6 12 19 19 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 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 1 6 11 16 21 26 30 21 14 8 5 2 3 7 13 21 25 26 25 24 25 26 29 31 31 27 15 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 1 1 0 0 0 0 0 0 1 3 7 12 13 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 1 1 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 1 3 7 15 24 32 36 28 15 7 3 3 8 11 11 11 15 20 22 23 25 26 27 27 24 19 11 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 1 2 4 7 5 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 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 0 0 0 0 1 0 0 1 4 9 15 25 36 43 38 20 8 4 6 11 15 13 9 6 6 13 21 27 33 37 36 30 21 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 0 0 0 0 1 3 5 7 5 3 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 1 1 1 0 0
0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 4 11 20 28 31 37 42 41 31 21 19 16 16 22 23 21 19 17 18 26 34 39 39 34 24 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 1 2 3 2 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 1 2 3 4 4 4 3 2 2 3 6 9 21 37 50 54 39 36 37 40 42 44 41 39 36 33 33 34 34 34 36 38 38 34 27 17 9 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 1 1 2 1 1 0 0 0 2 3 5 7 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
1 1 1 2 3 4 4 5 5 5 5 5 4 4 7 12 18 26 43 64 76 72 40 29 31 38 44 42 39 39 39 36 34 33 32 32 32 29 24 18 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 5 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
3 4 5 6 7 7 6 5 4 4 4 5 6 10 19 28 37 46 61 81 91 82 47 34 35 42 47 44 39 36 34 31 29 28 27 26 23 20 17 14 10 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 1 1 0 2 3 3 3 4 4 3 2 1 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
5 7 8 9 8 6 4 2 3 4 6 8 13 23 33 42 50 57 67 79 83 75 52 42 40 42 43 37 31 29 29 29 29 30 30 29 28 25 22 18 13 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 1 1 1 0 0 1 1 1 1 1 2 3 3 2 2 1 1 0 0 0 0 0 0 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 7 6 5 4 3 2 1 1 3 5 10 19 30 37 42 44 46 49 51 48 42 37 35 35 33 30 25 26 28 31 32 32 32 31 29 27 24 20 16 11 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 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 3 4 4 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
4 3 2 1 1 1 0 1 1 2 4 9 19 25 26 25 24 23 27 28 27 25 25 28 28 27 25 26 29 34 37 36 34 34 33 31 28 23 17 12 8 4 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 2 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 0 0 0 0
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