Vorticity
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nan 11 11 10 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 6 6 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 6 6 6 7 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 13 14 14 15 15 16 16 16 14 13 12 12 12 13 13 12 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 10 nan
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nan 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 12 12 13 13 14 14 13 12 11 10 10 11 11 11 11 10 11 11 12 12 12 12 11 10 10 10 11 11 12 12 12 12 11 11 10 10 8 7 6 5 5 5 5 5 6 8 10 12 13 12 10 9 7 6 5 4 5 5 5 6 6 6 6 6 5 5 4 4 4 6 7 9 11 11 11 10 9 8 7 6 7 7 8 10 11 12 14 14 15 16 16 17 16 15 14 13 13 13 14 17 20 23 25 23 18 14 12 10 10 10 10 10 10 10 10 10 11 nan
nan 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 12 11 11 12 12 13 14 13 12 11 10 10 11 11 11 10 10 11 11 11 12 12 11 11 10 10 10 11 11 12 12 12 12 12 11 11 11 10 8 7 6 5 5 4 4 4 5 7 9 10 9 8 8 7 6 6 6 6 6 7 7 7 8 8 8 7 7 5 3 2 3 5 7 10 13 14 14 12 10 7 6 6 7 8 10 12 13 14 15 15 15 16 16 15 14 13 12 11 13 15 17 19 21 22 20 16 14 11 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 10 10 10 11 11 11 12 12 12 11 11 11 10 10 11 12 13 13 12 11 10 11 11 11 11 11 11 11 10 10 11 11 11 11 10 9 10 10 11 11 12 12 12 12 12 12 12 12 11 9 8 6 5 5 4 4 5 6 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 7 6 5 4 4 5 6 8 8 8 7 4 3 4 5 7 9 11 12 13 14 15 15 15 15 15 15 14 13 11 11 13 15 17 19 20 20 18 15 12 11 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 10 10 11 11 11 11 12 12 12 11 11 10 10 9 10 11 11 11 11 11 10 10 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 9 7 7 6 6 6 7 7 8 8 9 9 9 8 8 8 7 8 8 8 8 8 8 9 9 9 9 8 8 7 5 3 2 1 -0 -1 -2 -1 1 4 6 7 9 11 12 13 14 15 15 16 16 16 16 15 13 11 11 12 15 19 20 19 18 15 13 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 11 11 10 9 9 9 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 12 11 11 10 10 9 8 8 8 8 10 11 12 12 11 10 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 8 5 3 -0 -2 -2 -1 1 4 6 7 8 10 11 12 13 14 15 15 16 16 17 18 17 15 12 10 11 15 19 20 18 15 13 11 10 9 9 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 13 13 14 14 13 12 10 10 10 10 11 12 13 13 13 13 13 12 11 10 10 9 9 9 10 10 11 12 13 13 12 11 9 7 5 5 6 7 8 8 8 9 10 11 12 13 14 15 15 16 17 19 20 20 16 12 9 9 13 17 18 16 14 12 10 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 11 11 10 9 9 8 8 8 9 10 10 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 13 15 16 15 15 14 13 12 12 12 12 13 14 16 17 18 17 16 15 13 12 12 12 14 16 17 18 18 17 16 15 14 12 11 11 11 11 10 9 9 9 10 10 12 13 14 15 15 16 19 21 22 21 17 12 8 8 11 13 15 14 13 12 11 10 10 9 9 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 12 12 11 11 10 9 9 9 10 10 10 10 10 10 11 12 12 12 12 11 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 13 14 15 16 16 16 15 15 15 15 15 15 16 17 19 20 20 20 20 18 17 16 15 16 17 19 20 20 19 18 17 15 14 14 14 13 12 11 10 9 9 10 10 12 13 14 14 15 17 20 23 23 21 17 12 8 7 9 10 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 10 11 11 12 12 13 13 13 13 13 12 12 12 12 11 11 10 10 10 11 11 11 9 9 10 12 13 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 15 16 16 16 16 17 17 18 18 18 18 18 19 20 21 22 23 21 19 16 13 12 13 14 15 15 15 15 15 15 15 15 15 13 12 10 9 9 10 10 11 12 13 14 16 19 22 23 23 19 15 11 9 8 8 8 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 9 9 9 11 13 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 14 14 14 14 14 16 17 18 18 18 17 17 17 18 18 20 22 21 20 16 12 8 7 7 8 9 11 13 16 18 18 18 16 14 12 10 9 9 9 10 11 12 13 14 17 21 23 22 20 15 12 10 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 10 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 12 11 10 10 9 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 16 15 15 15 15 15 15 16 16 17 18 16 13 11 10 9 9 9 11 14 18 20 20 18 15 13 11 10 9 9 9 9 10 11 12 15 19 22 22 20 16 12 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 10 11 11 12 12 12 11 11 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 10 9 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 11 11 11 12 13 13 13 12 12 12 12 11 11 12 13 15 15 15 15 15 15 14 14 15 18 20 21 19 15 12 10 9 9 8 8 8 8 9 10 12 16 20 21 20 17 13 11 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 10 11 12 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 12 12 12 11 10 10 10 9 9 10 11 12 14 14 15 16 16 15 15 16 18 19 18 14 10 7 7 8 8 8 7 7 7 9 10 12 16 19 19 18 14 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 nan
nan 9 9 9 10 11 11 12 12 12 11 10 10 9 9 8 8 8 8 8 9 9 9 10 11 11 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 9 9 9 8 8 9 11 12 13 14 15 14 13 13 13 15 16 13 10 6 5 5 7 8 7 6 5 6 8 10 12 15 17 16 14 12 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 9 9 9 10 11 12 12 12 12 12 11 10 9 9 8 7 7 7 7 7 8 8 9 10 10 9 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 12 13 13 12 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 10 10 9 9 8 8 8 9 10 11 12 13 12 12 12 12 13 13 11 8 6 5 6 7 8 6 5 4 6 9 10 12 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 9 9 9 10 11 11 12 13 13 13 12 11 10 10 8 8 7 7 7 6 6 7 7 8 8 8 7 6 6 6 6 8 10 11 11 11 10 11 11 11 11 11 11 12 13 13 13 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 9 10 10 11 11 11 11 12 12 11 10 9 8 7 7 8 8 7 6 5 7 8 10 11 11 11 11 10 10 10 11 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 nan
nan 9 9 9 10 11 11 12 12 13 13 13 13 12 11 10 9 8 7 6 6 5 5 5 6 6 6 5 4 4 4 6 8 10 10 10 9 10 10 11 12 12 11 11 12 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 9 8 8 9 9 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 8 8 7 7 8 9 9 10 10 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 nan
nan 9 9 9 10 11 11 12 12 12 13 13 14 14 13 12 11 9 8 7 6 5 5 5 6 6 6 5 4 3 4 6 8 9 9 9 9 10 11 12 12 12 11 12 12 12 12 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 10 10 11 12 13 13 12 11 10 9 9 10 10 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 nan
nan 9 9 10 11 11 11 11 11 12 12 13 13 14 14 14 12 11 10 9 8 8 8 8 9 9 8 8 6 5 5 6 9 11 12 13 13 12 12 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 12 11 10 10 10 12 13 12 11 10 10 10 10 11 12 12 11 11 10 10 9 10 10 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 nan
nan 9 10 10 11 11 11 11 11 11 11 12 13 13 13 14 14 13 13 12 11 11 12 12 13 12 12 12 10 9 8 8 10 13 15 17 16 15 14 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 11 12 13 13 12 11 10 9 10 12 12 12 11 10 10 11 11 12 12 12 11 10 10 9 9 9 10 11 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 11 11 11 11 11 10 10 11 11 12 12 12 13 14 15 15 14 13 13 14 15 15 15 15 14 13 12 10 10 11 13 14 16 16 15 14 13 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 12 11 10 10 11 11 12 12 11 11 11 11 12 12 12 12 11 10 9 9 10 10 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 10 10 11 11 11 11 11 10 10 10 11 11 11 12 12 14 15 15 14 13 12 13 14 15 16 16 17 15 13 12 11 11 12 12 14 14 14 13 12 11 11 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 12 11 11 11 11 12 13 13 13 13 13 12 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 10 11 12 14 15 16 17 15 13 12 12 12 12 13 14 14 14 13 12 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 10 11 11 11 11 11 11 12 12 13 14 14 14 14 13 13 13 12 12 11 11 11 11 11 11 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 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 11 10 9 10 11 13 14 15 15 13 12 12 11 11 12 13 14 14 13 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 10 11 11 11 10 10 10 11 12 13 13 13 13 13 14 13 12 11 11 11 11 11 11 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 11 11 11 11 11 11 11 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
CAPE
8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 6 16 28 37 40 45 51 55 55 54 51 48 43 35 28 24 23 25 28 31 32 32 32 27 21 20 21 22 20 18 17 14 12 11 12 15 19 17 13 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
10 6 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 2 9 24 36 44 50 52 55 55 52 48 43 38 35 31 24 16 13 14 17 20 24 25 26 25 22 18 16 15 14 11 7 5 2 3 3 3 3 3 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
7 5 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 1 2 5 11 30 39 43 47 51 55 56 52 45 37 31 28 26 24 19 10 7 9 11 14 15 16 16 14 10 6 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
4 4 3 3 2 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 1 3 10 20 34 43 47 48 50 53 53 51 44 34 25 19 17 15 13 11 6 5 5 7 7 7 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
3 2 2 2 2 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 0 0 0 0 0 0 0 0 0 1 6 15 28 41 47 48 49 52 54 54 46 38 30 21 12 7 6 6 6 6 4 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
2 2 1 1 1 1 2 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 2 4 11 24 36 43 45 40 39 42 45 44 39 29 19 11 5 2 2 2 2 3 4 3 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
2 2 2 2 1 2 2 3 2 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 3 8 17 30 44 48 43 37 34 36 40 37 24 17 11 6 3 1 0 0 0 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
2 2 3 3 2 2 3 2 2 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 2 8 15 25 38 47 48 42 34 30 29 27 22 14 6 3 1 1 0 0 0 0 0 0 1 1 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
3 3 3 3 3 3 3 2 2 2 1 1 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 1 2 6 15 26 35 43 52 48 41 33 25 21 16 12 7 2 0 0 0 0 0 0 0 0 0 0 0 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 1 4
4 4 5 5 4 3 3 2 1 1 1 1 1 1 1 1 2 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 3 9 19 35 47 53 53 50 50 40 29 19 13 9 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 3 8
5 6 6 5 4 3 2 1 1 1 1 1 1 1 1 1 2 3 2 2 1 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 0 0 2 5 15 31 54 75 83 77 61 41 28 16 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 1 4 9
5 5 4 3 2 2 2 1 2 2 2 2 2 2 2 2 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 2 1 1 2 1 0 0 0 0 0 1 2 4 11 24 42 65 91 106 92 62 32 16 7 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 2 5
4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 3 5 6 6 5 2 0 1 1 1 1 0 0 0 0 1 2 2 3 5 5 4 8 6 4 4 6 8 8 4 1 0 2 4 6 10 17 32 48 62 74 85 91 81 50 21 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 1
3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 7 7 5 3 2 1 2 2 2 3 4 5 6 6 7 9 12 16 18 16 10 13 14 13 14 16 17 14 10 8 8 13 20 26 35 52 87 102 99 86 70 48 29 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 0 0 0 0 0 0 0 0 0 0 0 1 1
4 4 3 4 4 4 4 3 3 2 2 2 1 2 4 5 6 4 2 0 0 2 2 2 3 5 7 12 19 24 26 28 30 32 34 31 25 29 30 31 33 34 29 25 27 31 37 44 50 54 64 85 114 112 85 56 35 12 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 1 2 1
4 4 4 4 4 3 3 3 2 2 2 2 1 2 3 3 2 1 0 0 0 1 1 1 2 3 7 16 26 33 36 38 41 44 47 49 48 52 56 58 59 59 52 56 65 73 77 83 80 74 72 76 78 61 34 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
5 5 5 4 4 4 4 3 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 1 5 15 24 31 36 39 47 56 63 70 78 86 91 83 74 73 76 91 106 111 104 94 80 70 63 58 46 25 10 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 2 5 7
5 5 5 5 5 5 4 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 2 6 14 22 28 32 35 45 59 74 89 104 113 111 95 81 86 102 119 127 121 99 81 69 65 63 57 41 19 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 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 1 3 3 5 8 9
5 5 5 5 4 4 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 19 25 31 39 51 67 87 105 118 121 110 101 100 111 126 136 132 115 91 78 73 69 62 49 28 11 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 1 2 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 1 1 0 0 0 1 4 5 5 6 7 7
4 4 3 3 2 1 1 1 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 16 26 38 51 70 91 107 112 105 96 84 79 84 100 114 120 113 97 78 66 59 52 44 31 12 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 1 1 2 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 0 0 0 0 0 0 0 0 1 1 1 2 3 5 7 7 6 5 4 5
2 2 1 1 1 0 1 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 2 6 14 25 39 53 66 80 91 92 83 67 60 52 54 72 101 95 89 80 68 54 42 40 36 28 18 8 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 1 0 1 4 5 5 6 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 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 8 8 6 4 4 4
0 0 0 0 1 1 2 2 3 3 3 2 2 2 2 1 1 1 1 1 0 0 1 2 5 11 20 32 44 54 60 59 55 52 51 49 43 47 56 72 92 107 81 64 52 42 33 25 26 29 29 19 10 4 1 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 3 5 5 3 4 7 8 7 5 5 6 8 10 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 1 2 4 6 7 8 7 5 5 4 3 3 3
1 1 0 0 1 2 3 3 3 3 3 3 2 3 3 3 2 2 1 2 3 5 10 16 24 34 45 54 56 53 47 37 29 38 49 52 44 46 60 75 82 72 55 42 32 25 19 14 14 16 18 17 13 6 2 0 0 0 0 0 0 0 0 3 8 10 7 2 0 0 0 0 0 0 0 0 0 1 5 8 8 7 8 8 7 5 4 6 7 7 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 1 3 5 7 7 7 6 5 4 3 3 3 3 2
1 1 1 1 2 3 4 5 5 4 4 3 2 1 1 1 1 0 3 8 14 20 27 35 40 44 48 48 47 44 38 30 29 47 56 51 36 32 44 56 59 49 39 30 22 17 14 12 15 17 18 15 10 6 2 0 1 2 2 1 0 0 1 4 8 10 8 2 0 0 0 0 0 0 0 0 1 3 6 7 8 8 8 8 7 6 8 10 10 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 2 3 5 6 6 5 5 5 4 3 3 2 2 2 1
2 3 3 3 4 5 5 4 3 3 3 2 0 0 0 0 2 8 15 23 29 32 32 34 33 32 34 36 38 40 43 46 49 50 44 33 24 27 39 43 37 28 21 18 16 14 12 11 11 9 6 3 1 1 3 4 3 1 0 0 1 4 6 8 9 10 8 3 1 0 0 0 0 0 0 1 3 5 7 7 6 6 6 6 7 9 11 12 13 11 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 1 3 4 4 4 3 2 2 3 3 2 2 1 1 1 0
4 4 5 5 5 5 4 2 2 3 4 3 2 1 2 3 6 12 14 17 19 19 17 16 15 16 21 27 34 40 45 48 43 34 26 21 23 29 32 28 20 13 10 9 7 5 5 5 4 3 1 0 3 5 6 5 3 1 1 3 5 8 11 11 10 8 5 2 0 0 0 0 0 0 0 0 2 3 4 3 1 2 3 5 7 10 11 12 12 12 10 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 2 3 3 2 1 1 1 1 1 2 2 1 1 1 0 0
5 6 7 7 7 7 6 5 7 8 7 5 3 2 1 1 2 3 3 3 3 3 3 4 7 13 24 37 40 35 29 24 20 18 18 22 29 28 22 16 11 9 8 7 6 4 3 2 1 1 1 4 8 9 7 3 1 1 6 12 13 12 12 12 10 8 3 1 0 0 0 0 0 0 0 0 0 1 1 0 1 2 3 5 7 5 7 8 8 8 10 9 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 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0
6 9 12 14 15 15 14 12 10 6 2 1 0 0 0 0 0 0 0 0 0 0 1 4 9 16 23 24 14 7 5 5 6 9 15 21 28 21 13 8 6 7 9 8 7 6 5 5 3 2 4 10 15 14 9 2 0 4 9 12 11 11 12 13 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 3 3 4 5 6 7 10 11 9 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 1 1 1 0 0 0 0 1 1 1 0 0
10 15 21 24 24 23 21 16 9 4 1 0 0 0 0 0 0 0 0 0 0 1 4 5 8 10 10 6 2 0 0 1 3 10 15 18 18 14 10 9 10 14 15 13 11 12 15 15 9 6 8 13 17 16 10 1 2 4 6 6 6 9 13 15 14 8 5 2 1 2 1 0 0 0 0 0 0 0 1 1 1 0 0 2 3 5 6 7 7 8 9 10 10 8 6 3 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 1 1 0 0
15 20 25 28 29 29 26 21 14 8 3 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 0 1 2 4 10 20 27 28 24 19 18 18 19 21 19 17 18 23 29 24 16 12 14 18 20 19 15 6 8 8 6 5 7 8 14 17 16 12 9 7 6 3 1 0 0 0 0 0 1 1 1 1 2 3 3 4 5 6 7 7 8 8 9 10 10 10 10 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
14 17 22 28 32 35 34 30 20 10 3 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 5 9 15 24 36 42 39 28 18 17 17 17 18 17 16 18 23 30 24 20 20 22 20 20 21 20 13 14 11 9 8 12 13 16 19 18 14 12 9 6 3 1 0 0 0 0 0 0 0 0 2 3 3 3 4 5 6 6 7 8 8 8 9 9 9 10 11 10 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
10 14 21 29 33 38 37 28 11 5 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 5 7 12 20 31 42 48 44 32 17 10 10 10 8 10 9 10 13 19 24 22 22 24 26 22 23 23 21 19 18 17 17 19 19 18 18 19 20 17 15 10 5 1 0 0 0 0 0 0 0 0 1 3 4 4 3 3 4 6 6 5 6 6 5 5 7 9 11 12 11 8 3 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
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