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 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 7 7 7 7 7 7 6 6 7 7 8 8 7 7 6 6 6 5 5 5 5 5 5 6 7 7 7 7 8 8 9 9 10 11 12 13 14 14 15 14 14 14 14 14 14 13 12 12 11 10 10 10 10 10 10 10 11 11 11 11 12 13 14 15 16 16 15 13 11 9 8 7 7 7 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 8 8 7 nan
nan 9 9 9 9 9 8 8 8 7 7 8 8 9 9 9 9 7 6 5 6 7 7 7 7 7 6 6 6 7 7 7 6 6 5 5 5 5 5 5 6 6 7 7 8 8 9 9 10 11 11 12 13 14 15 16 16 15 14 14 14 13 13 13 13 12 10 10 9 9 9 10 10 11 11 11 11 11 11 12 12 13 14 15 15 15 14 12 10 9 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 nan
nan 9 9 9 9 9 9 8 7 7 7 6 7 7 7 7 5 3 3 4 6 7 7 7 7 7 7 6 7 7 7 7 6 6 6 6 6 6 7 7 7 8 9 9 9 10 11 11 12 13 13 14 14 15 16 16 16 15 14 13 12 11 10 9 9 8 8 9 9 10 10 11 11 11 11 10 10 10 11 11 12 13 14 15 15 15 13 11 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 nan
nan 9 9 9 9 9 9 8 7 6 6 5 5 5 4 3 2 2 4 6 7 8 8 8 8 8 9 9 9 9 9 8 9 9 9 10 10 9 9 10 10 11 11 11 11 11 12 13 14 14 14 15 15 16 16 15 14 13 12 11 10 8 7 7 7 8 9 10 11 11 11 11 11 10 10 9 9 10 10 11 12 13 14 15 15 14 12 10 8 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 nan
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nan 7 7 8 8 8 7 4 1 -2 -3 -3 -0 4 8 10 9 7 5 6 8 9 10 10 9 10 9 8 7 8 8 9 9 7 5 4 3 4 5 6 6 6 6 6 6 6 7 8 9 11 12 13 14 15 16 16 15 13 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 13 13 13 13 11 10 8 8 8 10 10 9 7 5 4 4 3 3 3 3 3 5 7 9 10 10 10 10 9 9 10 10 10 9 7 7 8 9 9 7 5 5 5 6 5 6 6 6 6 7 nan
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nan 9 9 9 9 9 9 10 10 10 11 11 12 12 12 13 13 13 13 13 14 14 14 14 12 11 10 9 10 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 9 8 6 6 5 5 4 4 3 4 7 10 13 14 12 10 8 6 5 4 4 4 5 6 7 7 8 9 9 9 8 7 5 5 6 8 10 12 12 12 12 11 10 9 8 8 9 9 10 11 13 14 15 15 16 16 16 16 16 15 15 14 13 12 13 15 18 20 20 17 14 12 10 10 11 11 11 11 11 12 13 14 nan
nan 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 13 14 14 14 13 11 10 10 10 10 11 11 12 13 12 12 11 10 10 10 11 11 11 11 11 10 10 11 11 12 12 12 12 10 9 8 7 6 4 3 2 3 4 6 8 8 8 7 6 5 5 5 5 5 5 6 7 7 9 10 10 10 9 7 5 4 4 6 8 11 13 13 12 11 9 7 7 8 8 9 10 12 13 14 14 15 15 15 15 15 15 15 14 13 12 12 14 16 20 22 20 16 13 11 10 10 11 11 11 11 11 11 12 13 nan
nan 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 11 11 12 13 13 13 12 11 11 10 10 10 10 11 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 14 14 14 13 12 10 7 5 5 5 5 6 6 7 6 6 6 6 5 5 5 5 5 6 6 7 8 9 10 10 10 10 9 8 7 6 5 5 6 7 7 6 4 4 5 6 8 9 10 11 12 13 14 14 15 15 15 15 15 15 15 14 13 13 13 15 19 23 24 21 17 13 11 10 11 11 11 11 11 11 11 11 12 nan
nan 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 10 11 11 11 11 12 13 12 12 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 12 14 16 17 17 16 14 11 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 10 10 11 11 12 12 11 8 4 2 1 -0 -0 0 2 6 8 9 9 10 11 12 13 14 14 15 15 15 15 16 16 17 16 15 14 15 18 22 24 23 20 16 13 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 10 11 11 12 12 12 12 12 12 11 11 10 9 9 10 10 10 10 10 10 10 11 11 12 13 12 12 11 11 10 10 11 11 11 11 11 11 10 10 9 9 9 10 11 13 15 17 17 17 16 14 13 13 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 13 14 15 15 13 10 6 3 2 3 5 8 10 10 9 9 10 11 12 13 14 14 15 15 15 15 17 19 19 17 16 14 16 20 22 22 20 16 13 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 10 10 10 11 11 12 11 11 10 10 10 9 10 10 11 12 13 14 15 15 14 14 15 15 14 13 12 11 10 10 9 10 10 12 13 13 14 13 12 12 11 11 11 11 11 12 13 14 15 17 18 17 16 14 12 11 11 12 13 12 11 9 9 9 10 12 13 14 14 14 15 15 17 19 21 20 17 14 13 15 18 19 18 16 14 12 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 10 10 11 11 11 12 12 12 13 12 12 11 11 10 10 10 9 9 8 9 9 9 10 11 11 11 12 12 12 11 10 10 9 10 10 11 11 11 10 10 10 10 10 11 11 12 12 13 13 12 13 14 14 15 15 14 13 13 12 11 11 11 12 14 15 16 17 17 16 15 14 14 13 13 13 14 15 16 17 17 17 17 17 16 16 16 15 15 14 12 10 8 8 9 10 11 13 14 14 14 15 17 19 21 21 19 15 12 12 14 16 16 15 13 12 11 11 11 11 10 10 11 11 11 11 10 10 10 nan
nan 9 9 9 9 10 10 11 11 12 12 12 13 13 13 13 12 12 12 11 11 11 10 9 9 9 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 14 14 13 13 12 12 12 12 13 13 14 15 15 16 17 16 16 15 14 14 13 13 14 15 15 16 15 14 13 13 14 15 16 16 15 13 11 9 8 8 8 9 11 12 13 14 15 17 19 22 23 22 18 14 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 11 11 10 11 11 10 9 9 9 11 12 12 11 11 11 11 11 11 10 10 10 10 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 12 12 12 12 12 12 13 12 12 11 10 11 12 12 10 9 8 9 12 14 15 15 14 12 10 8 8 7 8 9 10 11 13 14 16 19 22 23 23 21 17 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 9 9 9 9 10 10 11 11 12 12 12 13 13 12 12 12 11 11 12 12 12 12 11 11 11 12 10 9 8 8 9 11 11 11 11 10 11 11 11 11 10 10 9 9 10 11 12 13 13 13 13 13 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 9 9 9 7 6 6 9 12 14 15 14 12 10 9 8 7 7 8 9 10 11 12 14 17 21 23 23 21 16 13 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 9 9 9 10 10 11 11 12 12 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 12 12 11 10 8 8 8 9 10 10 10 10 10 11 11 10 10 9 9 10 11 12 12 13 13 13 13 13 12 12 12 12 11 11 10 10 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 12 10 8 8 11 13 14 14 13 11 10 9 8 7 7 8 8 9 10 12 15 19 22 23 21 17 13 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 nan
nan 9 9 9 10 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 9 9 9 9 9 10 11 11 11 11 10 9 9 9 10 11 11 12 12 12 12 13 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 9 10 10 10 9 10 12 14 15 13 11 10 11 13 13 12 11 9 9 9 8 8 8 8 9 9 10 12 15 19 20 20 17 13 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 9 9 9 10 11 11 12 12 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 12 11 11 10 10 10 10 9 9 9 8 9 10 11 12 12 11 10 9 9 9 10 10 11 12 12 12 12 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 10 11 11 11 12 14 15 14 12 10 9 11 13 12 11 9 8 8 8 8 8 8 9 9 9 10 12 15 17 18 16 14 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 nan
nan 9 9 10 10 11 11 12 12 11 10 10 9 9 9 9 8 8 8 8 8 9 9 11 11 11 10 10 9 9 9 9 9 8 9 9 10 11 12 12 12 11 10 9 9 10 11 12 14 14 14 14 13 13 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 11 11 12 12 13 14 12 9 8 9 11 12 11 9 8 6 6 6 7 8 8 9 9 10 11 12 14 16 15 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 10 9 10 10 11 11 11 12 11 11 10 9 9 8 8 7 7 7 8 8 8 9 10 11 10 10 9 8 8 7 7 8 9 10 10 10 11 12 13 13 11 10 9 8 9 11 13 15 15 14 14 13 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 10 12 12 10 9 7 6 6 6 7 8 8 8 9 11 12 13 13 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 11 11 11 11 12 11 11 10 9 8 7 7 7 7 7 7 7 7 8 9 9 9 8 6 6 5 5 7 9 11 11 11 11 12 13 13 12 11 9 8 9 11 13 14 14 14 14 13 13 13 13 12 11 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 9 10 11 11 10 9 8 7 7 8 8 8 8 8 9 10 11 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 11 11 11 12 11 11 11 10 10 8 7 7 7 6 6 6 6 6 7 7 7 6 4 4 3 4 6 8 9 9 10 10 11 12 13 12 12 11 10 10 11 13 14 14 14 14 14 14 14 14 14 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 10 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 nan
nan 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 10 9 8 7 6 5 5 5 6 6 6 5 4 3 3 4 6 8 8 8 8 9 10 11 12 12 11 11 11 12 12 13 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 9 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 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 10 10 10 10 10 11 11 11 11 11 11 nan
nan 10 10 10 11 11 11 11 10 10 10 11 12 13 14 14 13 12 10 9 7 7 7 7 8 8 8 8 7 6 5 6 8 10 11 11 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 13 13 13 14 14 15 15 15 15 15 15 15 14 13 13 12 12 11 11 10 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 nan
nan 10 10 10 11 11 11 10 10 9 9 10 11 13 14 15 15 15 13 12 11 11 11 11 11 11 11 12 11 10 8 8 10 12 14 16 15 13 12 11 11 11 11 11 11 11 12 12 13 12 12 12 12 12 11 11 11 11 11 11 11 12 13 14 14 15 15 16 16 15 15 14 14 13 13 13 12 12 11 10 9 9 8 8 9 9 9 10 10 9 7 6 7 7 9 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 nan
nan 9 10 10 10 11 11 10 9 9 9 10 11 12 13 14 15 15 15 14 13 13 13 13 13 13 14 14 14 13 11 10 10 12 13 15 15 14 13 13 12 12 11 11 11 11 11 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 13 13 14 14 14 14 14 14 14 14 14 14 13 12 11 10 10 9 9 9 9 9 10 10 9 7 6 6 6 9 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 nan
nan 10 10 10 10 10 10 10 10 9 10 10 11 11 11 12 13 14 14 14 13 13 14 14 15 15 15 15 15 14 12 11 10 10 11 12 13 14 14 14 13 12 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 13 13 13 13 14 15 15 15 14 12 11 10 9 9 9 9 10 9 8 7 6 6 7 9 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 11 11 11 11 10 10 11 11 11 11 12 12 13 12 12 11 12 13 14 15 15 15 15 14 13 12 12 11 11 12 13 14 14 14 14 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 12 13 15 16 17 16 14 12 11 10 9 8 8 8 7 6 5 6 7 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 10 10 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 10 11 12 14 15 15 15 14 13 12 12 12 12 13 14 15 15 14 13 12 12 11 11 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 13 15 16 17 17 15 14 13 11 10 8 7 6 5 5 6 7 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
5 4 4 3 3 2 2 2 1 1 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 2 3 5 6 3 1 0 1 2 4 3 4 7 8 12 20 26 28 31 40 49 53 54 54 55 56 64 69 73 75 74 73 69 65 63 61 58 55 50 44 38 34 29 22 15 9 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 0 0 0 0
5 4 4 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 2 2 2 2 1 0 1 4 7 8 9 7 5 3 4 7 10 8 11 17 23 31 39 46 50 52 54 56 54 55 60 67 68 77 80 81 81 78 70 62 61 62 63 60 56 51 43 34 26 18 11 6 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 1 4
5 4 4 4 4 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 6 8 8 6 7 7 7 5 3 3 4 6 7 7 9 8 8 11 16 22 28 29 33 37 42 49 56 58 58 55 52 51 53 61 74 86 91 90 83 72 60 50 45 48 54 61 64 62 57 50 37 22 12 8 6 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 1 6
5 5 5 5 5 4 3 2 2 1 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 2 3 5 6 7 8 9 11 10 9 8 10 12 12 9 5 6 7 12 23 36 45 49 48 47 48 51 55 56 57 57 55 55 60 67 79 91 97 99 85 68 55 48 49 56 62 66 68 65 55 42 29 17 7 3 4 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 1 3
5 5 5 5 5 4 3 2 2 1 1 1 1 1 2 2 1 2 4 4 3 3 3 2 1 1 2 1 2 3 5 7 7 7 9 12 14 17 21 20 17 12 12 18 27 37 45 46 46 46 46 48 52 54 48 46 46 48 55 65 73 78 77 66 57 49 45 48 59 74 88 91 83 67 51 33 17 8 3 2 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
5 5 5 5 5 4 3 2 2 1 1 2 2 3 5 7 7 7 6 4 1 2 2 2 2 3 4 2 1 1 2 4 4 6 9 12 14 20 24 24 23 23 26 32 37 41 42 37 35 40 47 50 47 43 36 33 34 40 48 56 58 54 46 37 29 30 44 70 102 119 117 99 70 39 20 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
3 3 3 3 4 3 3 3 3 3 3 3 3 4 7 11 12 11 8 3 0 0 1 2 3 4 3 1 2 4 4 4 5 8 10 14 20 22 23 23 22 24 31 36 37 38 37 33 31 32 35 36 33 28 25 24 25 27 26 30 30 29 29 30 37 57 91 125 140 127 95 58 25 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
3 3 3 3 3 3 3 4 4 4 5 6 5 5 7 10 11 9 6 2 0 1 2 3 4 3 1 1 3 5 5 5 6 8 13 18 20 20 19 18 17 20 33 33 31 30 29 27 23 18 15 15 16 20 22 23 23 24 21 22 22 27 41 69 108 144 159 149 120 82 46 18 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 2
3 2 3 3 3 3 3 4 4 5 6 8 7 6 6 6 6 5 3 1 0 1 2 3 2 1 0 0 1 2 4 4 3 4 8 13 14 13 12 11 9 12 30 27 22 18 18 18 16 13 12 13 17 19 20 18 16 14 10 10 26 59 105 150 169 164 138 97 57 30 12 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 7 22
3 3 3 3 3 3 3 2 1 1 2 2 2 2 2 2 1 1 0 0 0 0 1 3 5 5 1 0 1 1 1 0 0 0 3 6 6 6 5 4 4 7 14 16 16 15 15 17 15 15 16 16 15 14 12 12 10 8 10 28 74 133 179 185 154 112 68 32 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 0 0 0 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 42
3 3 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 7 3 0 0 0 2 3 1 1 4 7 9 7 6 4 4 7 14 21 23 21 16 14 14 16 17 19 19 17 15 14 16 22 45 93 151 188 177 136 87 47 20 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 33
4 4 5 5 5 4 3 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 4 9 9 5 1 1 2 3 4 6 4 3 5 9 11 5 5 3 3 7 13 16 15 12 9 4 6 9 13 16 18 22 27 32 41 59 104 157 183 169 117 67 33 14 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 2 6 12
4 4 5 5 5 4 1 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 5 6 4 1 0 1 3 5 7 6 4 4 5 8 10 5 2 1 1 3 6 8 6 2 0 0 3 6 12 19 25 36 49 62 76 94 139 161 148 107 58 25 10 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 1 1
5 5 6 6 5 3 0 0 0 0 0 0 1 0 0 1 2 3 3 2 2 3 6 4 2 1 0 0 1 3 5 6 6 5 4 3 3 3 2 1 1 2 2 3 2 2 2 4 10 16 22 32 48 63 76 85 89 92 114 111 86 52 20 6 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3
6 6 7 7 5 3 1 0 0 0 0 0 0 0 0 1 2 2 2 1 0 2 2 1 1 0 1 0 1 2 4 6 8 5 2 0 0 1 0 0 0 0 0 1 2 4 8 16 24 30 36 48 71 91 97 88 71 63 66 58 40 20 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 1 1 1 4 7
7 8 8 7 5 3 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 2 4 2 5 8 10 12 12 7 3 1 0 0 0 0 0 0 0 2 4 9 16 27 32 39 52 74 99 110 101 78 53 42 35 26 15 6 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 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 5 9 11
8 9 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 6 8 11 14 14 12 7 3 1 0 0 1 1 1 0 1 3 5 7 10 20 32 53 82 114 136 129 101 67 41 26 17 9 4 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 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 0 1 1 1 1 1 2 3 3 4 5 6 8 12 15
9 9 7 4 2 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 7 11 15 16 13 9 7 6 5 4 6 6 4 2 2 3 4 7 14 31 57 90 122 144 144 115 75 39 17 9 6 4 3 4 5 4 2 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 5 7 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 1 1 2 2 3 3 4 4 5 6 8 9 13 17
7 6 4 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 8 14 19 21 22 21 18 15 13 13 14 13 12 10 9 11 20 44 75 107 126 129 117 95 63 33 12 4 3 3 4 4 3 2 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 2 1 3 7 10 10 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 1 1 1 2 2 3 4 5 6 8 10 11 15 18
3 2 1 1 1 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 7 14 20 26 29 29 26 20 16 18 21 22 22 25 29 38 55 83 103 106 92 68 48 37 24 14 7 4 4 3 3 3 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 3 5 5 6 9 14 17 13 10 8 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 0 0 0 0 0 1 1 3 4 6 7 9 12 14 16 18
1 2 3 3 4 5 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 2 4 8 12 14 14 14 18 20 15 17 21 25 30 37 52 66 79 89 96 85 61 35 17 12 16 15 11 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 5 7 11 13 18 21 22 19 14 13 12 12 10 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 1 2 4 5 8 11 13 14 15 18
3 4 5 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 7 7 7 9 11 11 11 12 18 26 30 28 31 37 47 61 80 98 102 99 92 81 66 48 31 20 14 14 13 10 7 6 3 1 0 0 0 0 0 0 0 0 0 1 1 1 3 5 6 8 9 9 8 13 20 24 25 28 25 20 15 14 16 20 26 32 33 21 10 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 1 2 3 5 8 13 14 14 16 18
4 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 9 7 5 10 14 17 18 19 27 37 45 51 57 65 77 91 104 107 99 85 69 53 44 30 18 12 10 10 9 9 9 8 4 1 0 0 0 0 0 0 0 0 2 5 7 6 8 12 16 19 19 18 16 22 29 34 34 31 23 15 12 13 18 27 39 49 49 39 22 7 0 0 0 0 0 0 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 5 7 9 11 13 16 18
4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 9 8 7 12 19 26 31 35 41 50 58 66 75 82 86 93 99 101 95 80 61 41 27 20 14 11 11 11 9 8 7 4 2 0 0 0 0 0 0 0 0 0 1 5 9 11 11 14 19 24 25 21 19 19 21 25 28 29 25 20 15 13 14 18 27 38 47 41 25 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 0 0 0 1 1 1 0 1 2 4 6 8 9 11 13 16 16
2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 10 11 13 13 17 25 33 39 46 55 62 69 76 85 92 92 86 80 77 73 68 57 41 25 13 10 8 8 9 10 9 4 1 1 0 0 0 0 0 0 0 0 0 0 1 3 8 11 12 13 14 16 18 18 16 16 18 21 23 23 22 22 22 21 19 16 19 24 29 36 33 16 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 1 1 2 2 2 1 0 2 4 5 7 8 9 11 14 15
3 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 7 6 9 13 19 26 37 44 51 60 64 65 76 88 88 85 83 81 77 72 59 46 35 28 22 15 8 4 3 3 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 12 14 14 14 13 12 13 13 16 20 23 23 23 24 24 23 21 18 14 13 14 20 30 33 19 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 2 2 3 4 6 7 6 8 11 12 14
1 0 0 0 0 0 0 0 0 0 0 1 4 6 9 12 16 21 24 28 33 38 43 55 64 67 67 65 71 86 96 86 75 61 47 37 33 20 12 7 4 3 2 2 2 1 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 9 12 14 14 13 12 12 13 14 19 23 24 22 21 18 16 15 16 12 7 4 6 13 27 29 19 5 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 1 1 1 2 3 3 3 4 5 6 6 8 10 11 12 12
0 0 0 0 0 0 0 0 0 1 3 6 11 15 19 26 34 37 36 35 38 43 42 46 50 52 49 41 53 64 65 51 36 25 17 12 12 8 5 4 2 1 1 0 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 8 10 11 12 13 13 12 11 11 14 20 24 26 24 21 16 14 14 15 11 8 6 6 8 22 23 16 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 3 3 4 4 5 4 5 7 9 13 16 14 12
0 0 0 0 0 0 1 1 1 5 12 18 24 29 29 32 38 42 40 37 37 40 36 35 38 41 41 26 30 28 21 12 8 7 6 5 5 4 2 1 1 0 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 8 9 11 10 9 8 9 12 14 14 13 13 15 19 22 23 22 17 12 10 11 12 11 10 10 11 12 21 21 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 3 3 3 4 4 4 3 4 6 9 14 21 15 12
1 0 0 0 0 2 4 5 6 11 20 29 36 36 30 29 32 40 44 44 42 38 30 29 36 47 55 46 37 23 9 2 1 2 2 1 1 0 0 1 2 3 3 4 5 6 4 1 0 0 0 0 0 0 0 0 0 1 2 3 7 10 13 16 16 14 11 8 8 10 16 18 17 16 17 17 18 19 19 17 14 10 8 8 9 10 9 11 17 19 20 18 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 3 1 1 1 1 2 1 2 3 5 7 10 15 14 14
7 6 4 4 4 8 13 16 16 19 24 31 38 32 26 25 29 35 36 30 25 21 19 22 32 42 47 40 27 16 7 3 1 0 0 0 0 0 1 3 5 6 4 2 1 1 0 0 0 0 0 0 0 0 0 1 2 3 5 8 13 15 16 17 16 14 13 11 11 13 18 21 22 21 19 17 18 19 20 18 15 12 9 7 7 9 8 9 16 15 13 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 2 2 1 0 0 0 1 3 3 3 4 5 6 7 11 16 21
16 16 16 16 16 19 23 25 25 29 30 32 33 25 21 22 25 27 22 20 20 22 24 22 24 25 24 20 13 7 3 1 0 0 0 0 0 1 2 3 3 3 2 1 0 0 0 0 1 1 1 1 1 1 2 3 5 7 9 12 15 16 15 14 14 15 17 17 17 18 20 22 22 20 18 18 20 22 24 22 18 14 10 7 5 6 6 6 8 6 6 5 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 2 2 1 1 0 0 0 1 2 4 4 4 4 5 6 10 15 22 30
16 20 24 26 24 23 23 25 30 37 36 30 23 15 13 15 19 21 16 15 16 16 15 13 12 12 13 13 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 6 9 10 11 12 12 12 13 13 13 15 17 17 16 16 20 21 21 21 20 20 22 24 24 21 15 9 5 3 3 3 3 3 3 3 3 3 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 2 2 1 1 0 0 0 0 1 3 3 3 4 5 6 10 17 24 29 34
7 11 15 13 11 11 14 19 29 32 28 20 12 7 7 7 9 9 7 5 4 3 4 6 7 9 11 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 10 11 9 8 8 9 9 9 11 12 10 13 15 16 17 20 22 24 24 23 21 21 21 19 14 10 7 4 2 1 1 1 1 1 1 1 1 1 2 3 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 1 0 0 0 1 1 1 2 3 5 8 12 19 26 31 36 42
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