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 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 11 17 24 23 14 8 7 6 5 5 5 7 7 7 8 9 9 8 8 8 6 -1 -8 -8 -1 5 7 7 7 7 7 6 5 4 4 3 3 3 3 4 5 5 5 6 6 7 7 7 7 6 6 6 7 8 8 8 7 6 4 3 3 3 3 4 4 5 5 5 4 4 4 5 6 9 14 nan
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nan 7 7 7 8 8 7 7 8 8 7 7 6 6 7 8 9 9 8 7 7 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 6 6 7 8 10 13 16 19 20 19 15 11 10 10 11 11 11 10 10 10 11 11 11 11 11 11 12 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 nan
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nan 7 7 8 8 8 8 8 8 6 6 6 7 7 7 8 8 9 9 8 8 7 7 6 6 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 7 7 8 8 8 8 8 7 7 7 8 10 11 11 10 9 8 7 6 5 5 6 7 8 7 6 6 6 7 7 7 5 4 4 5 6 7 8 8 9 9 9 9 11 14 15 15 14 13 13 12 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 7 8 8 7 7 8 8 7 6 6 7 7 7 8 8 8 9 9 8 8 8 7 7 8 7 7 7 7 7 8 8 7 7 8 8 8 7 7 7 7 7 7 6 5 5 5 7 8 8 7 7 7 8 8 8 8 8 8 8 8 9 10 11 10 10 10 10 9 7 7 7 7 8 8 8 8 8 8 8 8 5 3 2 2 3 5 5 6 6 7 8 8 10 14 18 18 17 16 16 15 14 13 12 12 12 12 11 11 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 8 7 7 7 8 8 7 7 6 6 7 7 8 8 8 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 6 4 4 5 7 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 7 5 3 2 3 4 5 4 4 5 6 7 8 11 17 21 20 19 19 19 18 17 16 14 13 13 12 12 11 11 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 7 6 6 7 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 9 8 8 8 7 7 7 7 8 7 7 5 4 4 6 7 7 7 6 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 8 6 5 5 5 5 5 5 5 6 7 7 5 6 10 15 18 19 22 25 27 26 23 20 17 14 13 13 12 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 7 7 7 7 7 8 8 6 6 6 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 7 7 7 7 7 8 9 9 9 9 10 10 9 9 9 9 8 8 8 7 7 8 10 10 11 10 10 9 8 7 6 6 6 6 6 6 7 7 7 7 8 10 10 6 3 5 7 9 11 15 23 29 32 30 27 22 18 15 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 7 7 8 7 8 8 8 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 9 9 9 9 8 8 8 8 7 6 5 6 8 8 9 9 8 8 8 9 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 8 9 10 11 12 11 10 9 8 7 6 6 5 6 6 6 7 8 9 10 11 9 5 5 5 6 6 8 13 19 23 25 24 22 18 15 14 13 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 nan
nan 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 9 9 9 8 8 8 8 8 7 6 6 7 9 10 10 10 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 10 9 8 7 6 6 5 6 7 8 10 12 11 8 6 7 8 7 7 8 11 14 14 14 13 13 12 13 15 15 13 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 nan
nan 7 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 9 10 10 11 12 12 12 11 10 8 7 7 7 8 8 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 6 5 6 7 9 11 13 11 8 7 8 9 9 8 9 10 10 10 9 8 8 11 15 18 18 15 13 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 8 9 10 11 12 12 11 10 9 8 8 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 8 9 9 9 9 8 8 7 7 7 7 8 10 12 11 9 7 8 9 10 9 9 9 10 10 9 8 8 9 12 16 19 19 18 16 14 12 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 7 8 9 9 8 8 8 8 7 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 7 6 7 8 8 9 9 10 10 9 9 10 11 13 14 14 13 12 11 10 10 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 11 11 10 8 6 6 8 9 9 9 9 9 10 10 9 9 9 10 12 14 16 17 19 20 18 16 13 12 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 7 8 9 8 8 7 8 8 7 6 6 7 7 8 8 9 9 9 8 8 8 9 9 9 8 8 8 8 8 9 9 8 8 7 7 8 8 8 9 9 9 8 6 6 6 7 8 8 8 8 8 8 9 11 13 15 16 17 16 15 14 12 10 8 8 8 10 10 10 10 9 8 8 8 8 7 7 7 7 8 8 10 11 11 11 9 6 5 6 8 9 9 9 10 11 12 11 9 8 9 10 10 10 11 14 17 19 20 20 18 16 15 14 13 12 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 nan
nan 7 8 8 7 7 7 8 8 7 6 7 7 8 8 9 9 9 9 9 9 9 9 9 8 7 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 7 5 5 5 6 7 8 8 8 8 8 9 10 12 13 15 16 16 16 16 14 11 9 9 9 10 10 10 10 9 8 7 7 7 7 7 7 6 6 7 8 10 10 9 8 7 7 7 8 9 9 10 11 13 13 11 8 7 7 8 8 8 9 9 11 14 18 20 22 22 23 24 23 20 16 11 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 nan
nan 7 7 7 7 7 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 7 7 8 8 7 7 8 9 9 9 8 8 8 9 9 10 10 9 7 5 4 5 7 8 8 9 8 9 9 9 10 10 11 12 13 15 16 16 15 14 13 12 11 10 10 10 9 8 7 6 6 7 8 8 7 6 7 7 8 9 9 9 9 9 9 9 10 10 10 11 12 13 12 9 7 6 6 6 7 7 7 7 8 10 14 17 21 25 27 27 27 24 17 11 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 nan
nan 7 7 6 7 7 8 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 8 7 8 8 8 7 6 7 8 8 8 8 8 8 8 9 10 11 9 7 5 5 6 8 9 9 9 9 9 9 9 9 9 10 11 12 13 15 15 15 15 15 14 12 10 8 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 11 11 11 10 8 6 6 7 7 7 7 7 7 8 9 10 11 12 15 18 19 19 17 12 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 nan
nan 7 6 6 6 7 8 8 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 8 7 8 9 8 6 5 5 6 7 7 7 7 7 8 9 10 10 9 8 7 7 7 8 8 9 9 9 9 8 7 8 8 8 9 10 12 13 13 13 14 14 13 10 7 6 6 6 7 7 7 8 8 7 7 7 8 9 8 7 7 8 9 9 10 12 13 13 13 13 12 11 9 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 10 11 9 5 -1 -2 3 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 7 6 6 7 7 8 8 9 9 8 7 6 7 7 8 8 8 9 9 9 9 8 8 8 9 10 8 6 5 4 6 7 6 6 6 7 8 9 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 10 9 9 10 11 11 9 7 6 6 6 6 7 8 8 7 6 6 7 9 9 7 6 7 8 9 9 9 10 11 12 12 13 13 12 10 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 8 7 5 1 -2 -0 5 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 7 7 6 7 7 8 8 9 9 8 7 6 6 7 8 8 8 9 9 8 8 8 8 9 10 9 8 6 5 5 6 6 6 6 6 7 8 9 10 10 11 11 10 9 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 6 7 9 10 9 9 9 8 7 6 6 7 8 8 7 8 8 8 8 6 6 7 8 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 7 6 5 5 6 7 8 8 6 3 1 1 7 12 15 14 12 10 10 9 9 9 9 9 10 10 10 10 10 10 nan
nan 8 7 6 6 7 7 8 8 9 8 8 7 7 7 8 8 9 9 9 8 8 9 9 9 9 9 8 7 5 5 6 6 5 5 6 7 7 7 8 10 12 13 12 11 9 7 7 7 7 7 7 8 7 7 7 6 6 6 6 6 6 6 8 9 11 12 13 13 11 9 8 7 7 8 9 9 9 8 7 7 7 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 6 6 6 8 9 9 7 5 6 11 18 22 23 20 16 13 11 10 10 10 10 10 10 10 10 10 11 11 nan
nan 8 7 6 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 10 9 7 4 4 5 6 5 5 6 5 5 6 8 11 13 14 14 13 10 8 7 8 8 7 7 6 6 5 4 4 5 5 6 6 7 8 9 10 11 13 15 14 13 13 12 11 10 9 9 9 8 7 7 8 10 11 11 10 9 9 8 7 8 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 9 9 9 11 15 21 26 28 26 23 21 18 15 12 10 10 10 10 11 11 11 11 11 10 nan
nan 8 7 7 7 7 7 8 8 8 9 9 9 8 7 7 7 7 8 9 10 10 9 8 9 10 11 10 6 3 3 5 5 6 6 6 5 5 7 9 11 12 14 15 14 12 10 9 9 8 6 5 5 4 4 4 4 5 6 6 7 8 9 9 10 11 12 13 13 13 14 14 13 12 10 9 9 8 8 8 10 11 10 9 9 8 8 7 8 9 10 10 11 11 11 10 10 10 9 10 10 10 11 11 11 11 10 10 9 9 9 9 10 12 16 20 22 21 20 21 22 20 17 13 10 11 11 11 11 11 11 10 10 10 nan
nan 9 8 8 7 7 7 7 8 8 8 9 8 8 7 7 7 7 8 9 10 9 8 8 9 10 10 9 5 3 3 5 6 7 7 6 5 6 8 10 11 11 12 14 15 13 12 11 10 8 6 5 5 5 5 5 5 6 7 6 7 8 9 9 9 10 10 10 11 12 13 13 13 12 10 9 9 9 9 10 10 9 7 6 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 10 12 13 14 13 13 14 16 17 15 12 11 11 11 11 10 10 10 10 10 10 nan
nan 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 7 5 3 4 6 8 10 9 6 6 7 9 9 10 10 11 13 13 13 13 13 11 9 7 7 7 6 6 6 6 7 7 7 8 9 10 9 9 9 9 9 10 12 12 13 12 11 10 9 8 9 10 11 10 8 6 6 6 5 5 6 7 8 7 7 8 8 9 10 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 10 9 9 10 11 10 7 5 4 5 7 8 9 10 10 10 10 10 10 9 9 10 10 nan
nan 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 10 9 8 7 6 5 4 5 7 10 12 10 8 7 7 7 7 8 9 10 10 11 12 13 14 12 10 9 8 8 7 6 6 6 6 6 7 7 9 9 9 8 8 8 9 11 12 12 12 13 12 11 10 9 10 11 11 11 10 9 8 6 5 5 5 6 5 5 6 6 7 9 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 10 9 6 0 -4 -6 -5 -3 -2 3 7 9 9 9 9 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 9 9 8 7 6 7 7 7 8 8 9 9 8 8 9 9 8 7 7 7 6 6 7 8 10 11 10 9 8 8 7 7 8 9 9 9 10 11 12 13 12 11 9 7 6 6 5 4 4 5 5 5 5 6 6 7 7 8 8 9 11 11 12 12 12 12 12 11 11 12 12 12 12 12 12 10 8 7 7 7 6 5 5 5 6 7 9 10 9 9 9 10 11 11 11 11 10 10 10 11 12 13 12 10 9 8 9 7 2 -2 -5 -6 -5 -5 -2 3 7 9 9 10 10 10 10 10 10 11 nan
nan 8 8 8 9 9 8 8 9 9 8 8 7 6 7 7 8 9 9 8 7 7 8 7 7 8 8 8 8 7 8 9 9 8 8 8 8 8 7 8 8 9 9 9 9 10 11 11 11 11 9 7 6 6 5 5 5 6 6 5 4 3 4 5 6 8 8 9 10 11 11 11 11 11 11 11 12 13 13 13 12 12 12 12 11 10 10 9 7 7 6 6 6 6 8 8 7 8 9 10 11 11 11 11 10 9 10 11 12 11 9 8 7 7 7 6 5 5 6 7 6 5 7 8 9 9 10 10 10 11 11 11 11 11 nan
nan 8 8 9 9 9 9 9 9 9 9 8 7 6 6 7 8 9 9 8 7 7 7 7 7 9 10 9 8 7 8 8 7 7 8 9 8 7 7 7 8 9 9 9 9 9 9 10 10 10 9 9 8 9 9 10 11 11 11 10 8 7 6 7 8 8 9 9 9 8 8 9 10 10 9 10 12 13 13 12 11 11 11 11 11 11 11 10 10 10 9 8 7 7 7 7 8 9 10 10 11 11 11 10 10 10 11 11 10 8 7 7 8 8 7 7 9 12 15 17 16 13 10 9 9 10 10 10 11 11 11 11 11 10 nan
nan 8 8 9 9 9 9 8 8 8 9 8 7 6 6 7 8 9 10 9 8 7 7 7 8 9 10 8 7 7 7 7 7 7 9 9 8 7 7 6 7 8 9 8 8 8 9 10 10 10 9 9 10 10 11 13 14 15 16 16 15 14 12 11 10 9 9 8 8 7 7 8 9 9 9 10 11 12 12 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 10 9 8 7 7 9 10 11 10 11 12 14 16 16 14 11 9 8 9 10 10 11 11 11 11 11 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
12 11 10 11 14 15 17 19 20 23 26 28 30 31 32 33 33 34 34 34 35 34 34 36 39 42 44 44 45 46 48 49 51 52 52 52 51 48 47 48 49 50 52 58 59 59 60 60 60 59 58 56 53 50 44 37 34 32 29 25 22 19 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 2 4 6 8 11 14 13 10 10 11 12 12 10 7 4 2 0 0 0 0 1 1 2 5 10 15 18 22 23 25 24 24 25 39 58 106 218 328 382 461 618 820
7 6 6 7 11 13 16 16 18 22 25 27 28 30 30 31 31 31 31 31 31 31 31 32 33 36 39 41 42 43 44 45 47 48 49 48 46 44 44 43 45 46 48 52 53 53 53 53 54 54 53 52 49 47 44 37 32 30 28 25 21 17 11 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 2 4 6 9 12 15 13 12 12 14 15 15 13 11 7 3 1 0 0 0 1 1 1 3 7 12 17 21 23 24 25 25 24 25 24 60 159 258 304 329 430 633
6 6 5 6 7 11 13 15 17 20 24 26 28 29 29 30 29 29 29 29 29 29 29 30 31 31 33 36 39 40 42 42 43 44 44 43 41 41 41 41 43 44 45 45 45 46 45 45 45 44 45 44 43 41 39 35 31 28 26 24 21 15 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 0 2 6 9 9 13 16 16 14 15 16 16 15 15 13 10 6 3 1 0 0 1 1 1 2 4 9 13 19 22 23 25 26 25 26 25 38 98 186 273 265 320 459
4 3 3 4 6 9 12 14 14 17 22 25 27 28 28 28 29 29 28 28 28 28 29 29 29 30 31 33 34 37 39 40 40 40 41 41 39 40 39 41 41 41 41 41 41 41 40 39 39 38 38 35 33 33 33 31 29 27 25 24 20 15 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 1 4 9 12 11 13 17 17 16 16 17 16 15 15 15 13 10 8 4 3 2 2 1 1 1 2 6 10 16 20 22 24 26 27 27 27 27 34 97 205 230 265 342
3 3 3 3 4 7 11 12 12 16 21 24 26 27 27 28 28 28 28 28 28 28 28 29 30 30 30 31 32 35 37 37 36 35 36 38 39 41 40 38 38 38 38 37 36 36 35 34 32 32 32 30 30 30 29 29 27 25 24 23 16 7 8 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 1 4 8 13 14 16 18 19 19 19 18 18 17 16 18 16 15 12 8 5 4 2 1 1 1 2 3 7 12 17 20 23 27 30 30 28 30 22 56 125 183 218 251
2 2 2 3 3 5 10 13 14 16 19 22 25 26 27 28 28 28 28 28 28 28 29 29 30 30 30 31 32 33 34 33 32 32 32 35 36 38 36 35 35 35 34 32 31 29 29 28 27 27 26 26 26 26 26 26 26 25 24 21 10 3 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 1 3 5 9 13 17 21 21 21 22 22 21 21 19 18 19 19 18 15 13 11 9 4 1 1 1 2 2 5 9 14 18 22 28 32 35 31 31 27 36 69 122 190 255
2 2 2 2 3 5 9 14 16 19 22 24 26 27 28 28 28 28 28 28 28 29 29 29 30 31 31 31 32 34 33 31 29 28 28 28 30 32 32 31 31 31 29 26 23 21 20 20 21 20 18 20 21 22 22 23 23 23 22 22 9 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 1 2 4 6 10 15 18 22 24 24 25 24 26 29 26 22 20 20 19 18 16 13 9 4 2 2 2 2 2 4 7 11 16 20 27 32 35 34 33 31 32 42 67 115 214
1 2 2 2 3 4 8 12 16 20 23 26 28 30 30 32 32 29 27 26 27 27 28 28 29 30 31 32 33 34 34 32 30 27 26 26 25 27 29 27 26 25 22 19 17 15 14 13 12 11 10 11 13 14 16 17 18 19 18 20 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 1 2 5 9 13 17 20 22 24 26 27 28 29 30 30 29 25 21 19 18 18 18 16 11 5 3 2 2 2 2 3 5 8 13 17 24 30 35 36 35 33 32 35 44 54 122
0 0 0 1 2 4 6 9 13 17 20 22 23 25 26 26 28 28 26 26 26 24 25 25 27 28 30 31 32 33 34 35 33 29 26 23 22 23 23 22 20 19 17 15 13 11 10 9 8 9 9 9 9 10 11 12 13 15 13 15 10 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 1 2 3 6 9 13 17 21 25 27 28 29 29 31 30 30 31 31 29 25 21 18 17 19 18 14 6 4 3 3 3 3 3 5 5 11 14 21 28 33 38 40 36 34 35 39 38 54
0 0 0 1 1 3 5 7 9 13 14 17 17 18 19 20 22 23 24 26 28 26 23 23 23 24 27 29 31 32 33 34 35 34 28 24 21 19 18 17 17 15 13 11 10 9 8 7 8 8 8 8 8 8 9 9 10 11 9 9 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 2 4 7 10 11 13 17 22 27 31 33 36 33 34 32 32 34 33 31 28 24 19 16 17 18 16 11 8 6 6 6 5 3 5 5 8 11 17 25 32 37 41 42 41 40 43 40 39
0 0 0 0 0 2 3 5 7 8 9 10 11 11 12 13 14 17 20 21 23 25 25 23 20 20 22 24 27 28 29 31 32 34 31 27 22 19 17 16 15 13 11 9 8 8 8 7 7 7 7 8 8 8 8 9 9 8 7 5 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 1 4 9 13 13 13 16 19 23 29 33 36 39 40 39 37 35 35 34 31 29 25 21 19 16 16 16 14 12 10 9 8 7 5 5 5 6 8 13 22 30 37 43 46 46 46 50 47 42
0 0 0 0 0 1 4 5 7 7 7 7 8 8 8 8 9 10 12 14 14 17 21 22 21 19 18 19 21 23 23 24 27 30 31 30 26 21 18 15 13 10 9 8 7 8 7 8 8 8 8 8 8 8 8 8 8 7 5 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 3 6 14 16 16 18 22 27 32 37 39 40 40 43 43 42 40 37 34 32 30 27 24 22 18 16 16 17 17 15 13 7 6 6 6 6 5 6 9 17 27 35 42 47 47 49 52 51 49
0 0 0 0 0 1 4 6 7 7 7 7 7 8 8 8 8 8 8 9 9 10 11 15 19 21 20 19 18 18 17 18 19 23 26 28 25 22 18 14 10 7 6 6 5 5 5 7 9 9 8 8 8 8 8 8 7 5 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 1 4 11 17 19 21 26 32 35 38 42 46 46 45 45 45 45 44 40 37 34 33 31 28 25 21 18 18 19 20 17 14 10 7 7 7 7 6 5 8 14 21 31 40 45 48 51 52 51 50
0 0 0 0 0 0 2 3 5 6 7 7 9 10 10 10 9 8 7 7 7 7 7 8 12 16 19 20 20 18 16 15 14 14 17 17 17 16 13 9 6 4 4 3 3 3 4 5 7 8 9 8 8 8 8 7 5 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 3 7 14 19 21 25 33 38 40 43 47 52 53 52 50 49 48 48 46 41 35 35 35 32 28 24 21 18 20 20 18 15 12 9 7 7 7 6 6 7 11 17 26 35 43 49 52 54 54 53
0 0 0 0 0 0 0 1 1 3 5 5 6 7 8 8 8 7 7 7 7 7 6 6 7 10 13 15 17 18 17 14 11 10 10 10 9 8 6 5 4 3 3 2 3 3 4 4 5 7 10 9 8 8 7 6 4 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 1 3 8 16 22 25 31 37 41 44 47 51 57 59 58 56 54 53 52 51 46 41 38 36 34 30 27 24 19 19 20 20 17 14 10 8 7 7 7 6 6 9 14 20 30 40 46 53 56 57 56
0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 3 5 7 10 7 7 7 6 5 6 7 8 9 10 14 14 13 11 10 9 9 7 5 4 3 2 2 1 1 2 3 4 4 4 5 8 8 8 7 6 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 2 5 11 19 24 29 35 41 44 47 52 56 60 63 63 62 59 57 56 53 50 46 42 39 36 33 28 26 22 22 22 22 21 18 14 10 9 8 7 6 6 8 12 17 25 36 41 50 56 60 60
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 5 5 5 4 5 6 6 7 7 7 5 7 9 10 9 8 8 8 6 3 2 1 1 0 0 0 1 2 3 3 4 4 7 8 8 6 5 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 1 1 3 6 8 15 22 26 31 38 43 46 51 57 63 66 67 66 67 64 61 60 58 54 50 46 42 40 37 32 29 26 25 25 25 24 22 20 19 13 9 8 7 8 9 11 15 22 31 37 45 54 59 63
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 2 2 4 6 5 6 5 4 4 6 6 6 5 5 5 3 0 0 0 0 0 0 0 0 1 2 3 3 4 4 5 6 5 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 2 3 4 8 13 18 22 27 35 42 45 50 56 60 64 69 72 71 71 70 67 65 63 59 55 51 47 45 43 39 34 29 27 26 26 25 24 22 18 14 12 11 11 12 12 12 14 19 27 33 39 50 58 64
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 3 5 4 4 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 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 2 4 5 8 11 15 19 23 26 33 40 44 47 52 57 62 66 70 74 75 75 73 70 69 68 65 64 60 54 48 47 46 44 37 29 26 25 24 24 23 20 19 17 15 15 15 14 14 18 21 24 29 35 44 56 64
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 3 3 3 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 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 2 5 8 11 16 20 22 24 30 35 40 44 47 50 55 62 65 67 70 74 77 78 78 75 72 72 71 71 69 63 54 51 49 47 42 35 30 24 22 23 22 21 20 19 17 16 15 14 14 15 18 21 25 31 39 50 63
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 3 3 3 3 3 2 1 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 2 5 9 14 20 25 29 33 36 40 42 44 46 49 51 56 64 66 68 70 73 76 77 78 77 76 75 75 77 76 72 64 60 56 52 48 43 39 30 27 24 22 21 20 20 19 18 16 14 14 13 15 18 22 26 33 42 57
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 3 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 14 20 28 33 36 38 40 44 46 47 49 51 55 58 64 68 70 71 73 75 77 78 78 78 79 81 83 81 78 74 71 66 58 50 46 43 40 35 29 24 24 25 23 21 19 18 15 13 13 14 16 19 23 29 36 48
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 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 1 4 7 13 20 27 33 37 40 41 44 49 53 54 54 56 60 65 69 70 71 72 73 75 78 79 77 79 83 87 91 90 85 81 77 73 65 56 51 48 45 42 37 32 29 29 29 24 20 18 15 13 12 13 15 18 20 25 31 40
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 18 25 31 39 44 46 51 57 61 63 64 64 64 66 69 72 72 72 73 74 75 78 81 81 81 84 89 92 94 93 89 83 78 72 64 58 54 50 46 42 36 31 29 30 27 23 20 16 13 10 12 16 17 18 21 26 33
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 16 23 29 35 43 51 52 56 62 67 71 72 73 72 73 73 73 73 73 74 74 75 76 83 84 83 86 89 91 94 96 95 90 86 80 70 67 62 55 48 43 36 28 27 29 28 26 23 20 17 9 10 14 17 17 19 22 28
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 20 27 33 38 46 48 52 58 65 70 74 78 81 81 80 79 78 77 76 75 75 76 76 82 86 87 90 92 91 93 96 99 99 94 83 75 72 67 57 48 43 40 32 29 29 29 27 25 23 21 14 13 15 17 17 17 18 24
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 17 23 30 35 39 44 47 52 60 67 73 77 83 86 88 88 86 83 81 80 79 78 79 79 82 86 88 93 98 98 97 96 99 101 99 91 86 82 74 62 51 45 42 37 33 31 30 29 26 25 24 20 16 16 17 18 18 18 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 20 26 31 36 38 41 45 52 60 69 76 82 88 90 92 94 94 92 89 86 83 82 81 82 84 87 90 94 100 104 105 101 100 101 103 102 97 89 79 70 61 52 45 40 35 31 30 30 28 26 24 23 19 17 18 19 19 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 14 22 29 30 34 38 42 47 54 64 72 79 88 93 96 99 101 102 102 99 95 92 89 88 89 90 90 93 96 100 105 110 109 105 105 109 112 108 98 86 77 69 60 50 42 38 33 32 30 29 27 25 24 22 19 18 19 19 18 16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 16 21 29 31 33 38 44 52 60 67 74 84 92 97 102 104 106 107 108 108 106 103 97 95 96 96 95 94 96 100 104 111 113 113 111 109 106 110 106 98 86 75 66 59 52 44 38 34 31 29 28 27 26 24 22 21 21 20 18 16
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