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 8 9 9 9 10 10 9 8 8 7 8 8 9 10 9 9 7 6 4 4 4 5 6 8 8 9 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 9 8 7 6 5 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 7 7 8 8 8 9 9 10 11 11 12 13 14 14 15 15 14 13 12 11 10 9 8 7 6 5 5 6 7 7 8 8 8 8 7 7 7 7 8 9 10 nan
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nan 9 9 10 10 11 11 10 9 8 8 8 7 7 6 6 6 6 6 6 7 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 7 7 8 8 9 8 8 7 6 5 4 4 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 9 9 10 10 11 11 12 13 14 15 15 14 14 13 11 10 8 7 6 6 5 5 5 5 6 8 8 9 8 8 8 7 7 8 9 9 10 11 12 nan
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nan 12 12 11 11 10 10 10 10 10 10 11 11 10 10 10 9 9 9 8 8 7 7 6 6 6 6 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 12 14 16 18 18 17 14 10 7 6 7 8 10 11 11 11 11 10 10 11 11 11 10 9 8 6 5 5 6 8 9 10 11 11 10 10 9 9 9 10 11 11 12 12 13 13 14 14 15 15 16 17 17 17 16 14 12 11 11 13 16 20 23 23 19 15 13 11 11 11 11 11 11 11 11 11 12 nan
nan 12 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 11 11 11 11 10 10 9 9 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 14 16 18 19 18 16 13 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 8 6 6 6 7 8 9 10 9 9 8 8 9 11 11 11 12 12 13 13 14 14 15 16 17 17 17 16 15 13 11 10 11 14 18 21 23 21 17 14 12 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 12 13 14 17 18 18 17 15 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 9 9 7 5 5 6 6 5 4 3 5 8 10 11 11 11 12 12 13 14 14 15 16 17 18 17 17 15 12 11 11 12 16 21 25 25 22 17 14 12 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 12 13 15 17 17 16 15 14 14 14 13 13 12 12 12 11 11 11 10 10 10 11 12 11 11 9 7 5 4 3 2 1 2 5 9 10 11 11 11 12 12 13 14 15 16 17 18 18 18 18 16 14 13 13 15 21 25 26 24 20 16 13 12 11 11 11 11 11 11 11 11 11 11 nan
nan 11 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 10 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 14 14 15 15 16 16 16 16 15 14 13 13 12 12 11 11 10 10 11 11 11 11 11 9 7 5 4 4 5 7 9 10 10 11 11 11 12 12 13 14 15 17 18 19 19 20 20 19 16 14 14 17 23 24 23 20 16 13 12 11 11 11 11 11 11 12 11 11 12 12 nan
nan 11 10 9 9 9 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 10 10 10 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 13 15 16 17 18 18 17 16 14 13 13 12 12 11 10 10 11 11 11 11 10 9 9 9 9 9 10 11 11 11 11 11 11 11 12 12 13 14 16 17 18 20 21 22 23 21 17 14 13 16 20 21 19 16 13 12 11 11 11 11 11 11 12 12 12 12 12 12 nan
nan 11 10 9 9 8 8 8 8 8 8 8 9 9 9 10 11 11 12 12 12 12 11 11 11 10 10 9 8 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 12 13 15 15 16 16 16 16 15 14 13 12 12 12 12 11 11 11 11 10 9 9 9 10 11 12 12 12 11 11 11 11 11 11 11 12 13 14 16 17 19 20 22 23 23 20 16 12 11 14 16 16 15 14 12 12 11 11 11 11 11 11 12 12 12 12 13 13 nan
nan 10 10 9 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 13 13 13 13 13 13 12 11 11 11 11 12 12 11 9 8 8 8 10 12 12 12 12 11 11 11 10 10 10 11 12 13 14 15 17 19 22 24 26 24 20 15 11 10 11 12 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 13 13 nan
nan 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 10 9 8 9 10 11 11 8 6 6 8 11 13 13 13 12 11 11 11 11 10 10 11 12 13 14 15 16 20 23 25 26 23 18 14 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 nan
nan 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 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 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 9 10 10 9 9 7 7 9 10 10 8 6 6 9 12 14 14 13 12 11 11 11 11 11 11 11 12 12 13 14 17 21 24 25 23 18 15 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 nan
nan 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 10 9 9 7 6 8 10 11 10 7 8 11 14 16 16 15 13 12 12 11 11 11 12 12 12 13 13 15 18 22 24 23 19 15 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 10 9 9 8 8 8 9 9 10 10 10 10 10 9 9 10 10 10 9 9 9 9 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 12 12 12 12 11 11 11 10 10 9 9 10 10 10 8 7 8 10 11 10 7 8 12 16 18 18 16 15 13 12 11 10 11 12 12 13 13 14 16 20 22 22 19 15 12 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 9 8 8 8 9 9 9 10 10 10 9 9 9 9 10 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 13 13 12 12 12 12 11 11 11 10 9 9 9 10 11 10 8 9 9 9 7 6 7 12 17 19 18 16 15 14 12 11 10 11 11 11 12 13 14 17 20 20 19 16 13 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 9 9 10 10 9 9 9 8 6 5 6 9 14 18 18 17 14 14 13 12 11 11 10 10 10 12 13 15 18 19 18 16 13 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 8 6 5 7 10 15 17 16 14 13 11 11 11 11 10 9 8 9 12 13 15 17 17 16 14 13 12 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 9 9 8 9 9 9 9 9 8 8 8 9 9 10 9 9 9 9 9 9 9 10 10 11 11 11 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 9 9 8 7 7 8 10 13 13 14 13 12 11 10 11 10 10 9 8 9 10 12 13 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 8 7 6 6 5 6 7 8 9 9 9 9 9 10 11 11 10 9 9 9 10 10 10 10 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 9 8 8 9 10 11 11 12 12 12 11 11 10 10 9 9 8 9 9 9 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 6 5 5 4 4 5 5 6 6 7 8 9 9 9 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 10 10 9 9 9 8 8 8 8 9 9 9 8 8 7 7 6 6 6 6 7 7 7 7 6 5 5 4 4 6 8 8 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 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 11 11 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 10 10 9 9 8 8 8 8 8 9 9 8 8 7 6 6 6 6 7 8 8 9 9 8 8 7 6 6 6 8 11 12 13 12 10 9 8 8 9 9 9 9 9 9 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 11 11 11 10 10 10 10 10 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 10 10 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 7 8 9 9 10 10 9 9 9 8 8 8 9 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 10 11 12 12 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 nan
nan 11 10 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 7 8 9 9 10 10 10 10 9 9 9 9 9 9 9 8 7 6 6 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 9 8 7 7 8 11 14 14 14 13 12 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 11 12 12 12 12 12 11 11 11 nan
nan 11 10 9 9 8 8 8 8 8 7 7 7 7 7 6 6 7 7 8 9 9 10 10 10 9 9 9 9 8 8 8 8 7 7 6 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 7 6 6 8 13 16 17 17 15 13 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 nan
nan 11 10 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 10 8 7 6 5 9 14 17 19 18 16 13 12 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 12 12 12 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
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 1 4 6 10 13 15 15 15 17 21 23 24 25 26 26 27 27 29 33 36 35 32 29 26 25 22 18 14 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 1 4 7 7 4 4 4 5 7 8 10 15 21 29 40 55 70 82 92 97 97 91 80 66 54 43 33 25 19 18 18 19 18 19 19 20 22 24 26 27 26 25 23 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 1 4 7 11 13 17 20 20 19 20 23 24 25 25 26 25 26 28 31 33 31 28 24 23 23 22 20 16 12 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0 0 2 5 5 4 3 4 6 7 9 12 16 22 28 38 50 64 78 87 91 89 82 71 59 48 39 30 22 16 13 13 14 16 16 18 20 21 22 23 24 23 22 21 20 18
0 0 0 0 0 0 0 0 0 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 11 14 17 21 23 24 24 25 25 25 25 26 25 22 25 28 28 25 18 13 10 11 15 19 19 16 12 8 6 1 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 6 10 10 8 6 4 7 11 17 23 27 32 38 46 57 67 76 81 80 75 65 53 43 35 28 21 13 8 8 9 12 15 18 20 21 22 23 23 22 20 18 18 17 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 1 5 9 12 14 17 22 25 27 27 27 26 25 25 25 24 24 27 26 21 13 3 2 1 3 9 14 17 16 14 11 8 3 2 2 2 0 1 1 1 1 2 1 1 0 0 0 1 1 0 0 0 0 0 1 3 4 6 6 7 10 12 12 9 8 13 20 27 33 39 43 47 51 56 60 63 65 63 57 48 40 34 29 23 16 8 7 7 9 13 18 21 23 24 24 23 22 19 18 17 16 16 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 1 2 6 9 12 14 17 22 26 28 29 29 27 25 23 23 26 28 28 25 18 9 0 0 0 2 8 14 16 17 16 15 14 13 12 10 9 8 8 8 8 8 7 6 4 3 2 3 4 3 1 1 1 1 2 4 5 5 5 4 8 12 15 18 20 22 27 31 35 40 46 50 52 51 49 48 49 50 49 44 37 33 29 25 20 14 9 9 12 16 21 24 26 26 25 24 21 19 17 17 16 15 15 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 2 3 6 9 12 15 20 25 28 31 33 33 32 28 25 27 32 34 33 30 23 14 5 3 3 5 9 13 15 16 17 17 16 16 17 18 20 21 20 18 18 18 18 15 13 11 10 9 8 5 3 4 5 5 5 5 6 6 7 6 10 16 21 25 29 33 36 39 42 46 51 53 51 47 42 39 39 41 41 38 33 29 24 19 14 12 13 16 19 23 27 28 27 26 24 22 20 19 17 16 15 15 17 19
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 0 0 0 1 3 5 7 10 14 20 24 27 31 35 36 37 35 35 37 39 41 42 40 36 30 20 11 8 8 11 13 16 17 18 19 19 19 21 25 28 31 32 32 31 31 31 29 27 24 21 20 18 17 13 12 11 11 9 7 6 7 9 11 13 17 21 25 29 32 35 38 41 44 46 47 45 41 36 32 31 33 36 38 37 33 26 19 16 16 18 21 23 25 27 27 27 25 23 21 20 19 16 14 14 15 16 19 22
1 0 0 0 0 0 0 0 0 0 0 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 14 17 22 25 28 31 33 36 38 45 50 51 51 50 48 45 40 34 25 16 13 13 15 16 18 18 19 20 22 24 29 34 37 40 42 42 43 43 41 40 37 34 32 30 28 28 25 23 21 17 13 9 8 9 11 14 17 20 22 24 27 28 29 29 32 36 36 33 29 27 25 25 26 29 33 34 33 26 19 15 17 23 27 29 30 30 28 27 25 22 20 19 18 16 13 12 13 15 18 20 24
1 0 0 0 0 0 0 0 1 3 4 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 10 14 16 20 24 27 26 27 29 31 28 42 53 58 57 54 50 45 39 32 25 21 19 18 19 21 22 23 23 25 28 33 38 42 45 49 52 54 56 55 53 50 47 44 40 38 37 36 34 31 27 21 14 10 9 10 13 15 16 14 13 14 15 16 16 14 13 17 14 12 12 14 17 21 23 25 25 24 22 19 18 19 23 28 32 33 33 32 30 27 24 22 20 19 16 14 14 14 14 15 18 20 22
1 1 0 0 0 0 1 1 2 4 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 7 8 12 12 12 13 15 18 21 22 27 36 39 48 55 56 54 50 44 38 32 28 26 25 24 24 24 25 27 28 30 33 38 43 47 51 56 61 64 67 69 68 64 60 55 51 47 44 44 43 40 35 28 19 11 7 7 9 10 9 8 5 2 1 3 6 7 4 1 0 0 1 2 4 7 12 16 19 20 22 19 17 19 22 26 30 32 32 32 31 29 26 24 22 21 18 16 15 15 15 15 15 17 19 19
1 1 0 1 1 1 2 3 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 8 9 9 8 6 6 8 11 14 17 22 31 42 50 54 56 55 49 42 38 35 33 31 30 29 29 28 28 30 32 36 41 45 49 52 56 62 67 72 74 77 78 77 73 67 60 56 52 50 50 46 38 31 23 11 5 3 3 4 5 3 2 1 0 1 2 4 3 1 0 0 0 0 0 0 1 6 10 13 16 22 19 20 22 25 27 29 30 30 30 29 27 25 22 21 19 17 16 15 14 14 14 16 18 18 19
1 1 1 1 1 1 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 9 8 7 3 3 5 7 10 12 16 25 35 44 51 55 56 52 46 42 39 37 36 36 35 34 33 33 34 36 41 49 55 58 58 60 63 68 72 77 80 83 84 83 80 74 67 61 57 54 50 41 30 20 14 5 2 1 2 4 4 2 1 0 0 1 4 4 2 0 0 0 0 0 0 0 0 2 4 8 14 18 19 22 24 26 26 27 28 28 27 26 25 24 22 21 19 17 16 15 14 16 17 18 20 21 23
1 1 1 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 10 8 6 5 3 5 7 9 11 13 17 24 32 41 49 53 54 52 47 46 45 43 41 42 41 40 39 39 40 42 50 58 63 66 67 67 69 72 76 81 85 88 90 90 88 83 75 67 59 52 41 28 17 9 5 2 0 0 0 1 2 1 1 0 0 1 4 2 1 0 0 0 0 0 0 0 0 1 4 9 17 18 20 22 25 25 24 24 24 24 23 23 22 21 21 20 19 18 17 17 17 18 20 20 21 23 25
1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 12 10 8 6 5 6 8 9 11 14 17 22 27 32 39 47 51 53 53 53 53 52 50 49 49 49 48 47 45 44 44 53 60 66 70 73 75 76 79 83 88 93 98 100 99 94 88 79 68 55 40 21 10 4 1 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 2 5 12 16 18 20 21 21 20 20 21 21 21 20 20 20 20 19 19 19 18 17 17 19 20 21 21 22 19
1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 12 10 8 7 8 10 11 13 15 18 22 27 30 35 41 48 52 55 56 58 59 59 57 56 56 55 54 52 50 47 46 53 61 68 74 80 84 87 89 93 97 103 107 106 102 96 86 72 55 36 18 4 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 8 13 14 14 14 14 15 16 17 17 18 18 18 18 19 20 20 20 18 18 18 20 21 21 21 18 12
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 10 10 10 11 12 13 15 16 18 19 21 26 30 34 39 45 49 54 57 58 59 60 61 61 61 61 59 58 56 53 51 51 56 63 71 79 87 93 96 98 100 101 103 104 101 94 86 72 51 27 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 2 4 7 8 9 10 10 12 14 15 15 15 16 17 17 17 17 18 18 17 17 18 19 20 20 19 13 8
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1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 8 12 16 19 21 21 21 22 23 24 27 32 39 46 50 54 58 61 62 64 68 73 76 75 74 69 65 63 63 63 64 67 73 81 85 85 80 72 65 63 57 51 45 39 29 19 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 0 0 0 0 0 0 1 4 5 6 7 8 10 12 14 14 14 13 12 11 9 9 9 10 11 12 14 16 16 16 15 13 9 6
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 12 16 19 20 19 19 19 18 16 21 27 33 39 45 50 55 59 63 66 72 77 81 81 80 74 69 68 68 68 69 69 70 70 67 61 53 46 42 39 36 33 28 21 12 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 1 4 6 7 8 9 10 12 13 12 11 11 9 7 6 6 6 7 8 9 11 12 12 12 12 14 12 9
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 2 3 7 12 16 17 17 16 15 14 13 13 18 24 29 35 40 46 51 57 63 67 73 78 81 81 78 73 70 69 70 71 69 66 61 55 48 39 32 28 26 23 19 15 11 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 1 3 5 7 8 9 10 10 10 9 9 8 7 5 4 4 5 5 6 7 8 9 10 11 10 11 12 12
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 2 3 4 8 12 14 15 14 12 11 12 17 21 26 31 37 43 47 50 54 59 64 70 74 75 75 73 72 70 68 67 67 65 61 55 47 40 33 24 19 15 13 9 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 1 3 4 6 8 8 7 7 7 6 7 6 6 4 3 4 4 4 5 6 6 7 9 10 11 12 11 11
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 3 4 6 9 11 12 12 11 10 11 15 24 31 37 44 50 57 60 61 63 66 70 73 74 73 70 68 66 65 63 61 57 51 44 36 28 21 15 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 1 2 4 5 7 7 7 7 7 7 7 7 6 6 5 4 4 3 4 6 7 8 9 12 11 11 10 10 11
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0 0 0 0 0 1 1 1 2 2 4 5 7 5 3 1 0 1 2 3 3 3 3 3 4 6 9 12 16 20 27 36 46 56 63 67 69 70 68 65 62 59 56 54 50 44 37 29 22 16 12 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 0 0 0 0 0 0 0 0 3 7 9 9 8 9 8 8 8 8 7 7 7 6 6 5 5 4 3 4 4 4 4 5 6 6 7 7 8 8
0 0 0 0 1 2 4 5 6 6 6 6 5 4 3 2 1 1 2 2 3 2 2 4 6 10 13 15 21 29 38 48 56 60 61 61 62 61 58 54 51 47 41 37 31 25 18 12 8 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 3 7 10 9 7 8 7 7 6 6 6 6 6 5 5 5 5 4 4 4 4 5 4 5 5 5 6 7 8 8
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1 2 1 2 5 7 10 14 13 10 8 5 2 1 0 0 0 0 0 0 1 3 4 8 12 17 24 33 42 48 50 49 46 40 36 33 30 28 27 25 22 20 15 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 1 0 0 0 0 0 0 0 0 0 0 1 4 9 7 7 7 7 7 7 6 6 7 7 7 6 6 7 6 5 5 6 7 5 4 4 4 5 6 7 9
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