Vorticity
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nan 6 7 7 9 11 12 10 6 4 4 5 6 6 7 7 7 7 7 8 7 7 8 8 7 6 6 7 7 8 8 7 7 6 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 9 10 10 10 11 12 12 11 9 7 7 8 8 8 8 8 8 8 8 7 6 5 4 4 3 3 3 4 5 6 8 9 11 11 10 8 7 6 5 5 5 5 5 5 5 5 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 nan
nan 6 6 7 8 10 12 10 6 4 4 5 6 7 7 7 7 7 7 8 7 7 7 8 7 6 6 7 7 8 8 8 7 7 7 7 7 8 7 7 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 8 8 9 10 11 10 10 9 9 8 8 8 9 10 11 11 10 9 7 6 5 5 4 3 2 2 3 5 6 8 10 13 13 11 10 8 7 7 7 7 7 7 6 5 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 nan
nan 6 6 7 8 10 10 9 5 4 4 5 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 9 10 11 11 11 10 8 7 7 7 6 5 4 4 4 5 4 5 8 11 13 13 13 12 12 12 12 12 10 9 7 6 4 3 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 nan
nan 8 9 8 8 9 9 7 4 3 5 6 6 7 7 7 7 8 8 8 7 6 6 7 7 7 7 6 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 5 5 5 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 11 12 11 11 9 8 7 7 7 8 9 9 8 8 8 7 7 7 6 6 7 6 4 4 4 6 8 11 14 16 18 18 18 16 13 10 7 6 4 4 3 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 nan
nan 9 10 9 8 9 9 6 2 3 5 6 7 7 7 7 7 8 8 8 7 6 6 6 7 7 6 6 5 5 6 7 7 7 6 5 6 6 7 6 6 6 7 8 8 8 8 7 7 6 5 5 6 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 11 12 12 12 10 8 7 7 8 8 9 8 8 8 7 7 7 7 7 7 6 5 4 4 3 5 8 12 15 17 18 17 16 13 10 8 6 5 5 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 nan
nan 10 11 10 9 9 9 6 2 2 4 6 7 7 7 7 7 7 7 8 8 7 6 5 6 7 6 5 4 4 4 5 6 7 6 5 5 6 7 7 7 6 7 8 8 9 9 9 9 8 7 7 7 7 8 8 7 7 6 7 7 8 8 8 8 9 9 9 9 9 10 11 12 12 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 6 5 5 5 7 9 10 11 12 12 12 12 11 10 8 7 6 5 5 4 4 4 5 6 6 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 nan
nan 9 11 12 11 9 8 5 2 2 4 6 7 7 7 7 7 6 6 8 10 10 8 6 6 6 6 5 5 5 4 4 5 6 7 6 6 7 8 8 8 7 7 7 8 8 9 9 9 9 10 9 9 9 8 8 7 5 5 5 6 6 6 6 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 9 8 8 8 9 10 9 8 7 7 7 7 6 6 6 7 7 7 7 8 10 12 14 13 11 9 8 7 6 5 5 4 5 5 5 6 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 nan
nan 9 11 12 11 9 7 5 2 2 4 6 7 6 7 7 6 5 5 7 10 11 9 7 7 6 6 6 7 7 6 5 4 5 6 7 8 8 8 8 8 7 7 7 7 7 7 8 8 9 10 10 10 10 10 9 8 7 6 5 5 5 5 6 7 8 9 9 10 10 9 8 8 8 8 8 8 8 9 10 11 11 10 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 7 7 6 7 10 12 14 15 14 12 10 8 7 6 5 5 5 5 5 6 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 nan
nan 9 12 13 12 9 8 6 4 3 4 7 8 6 6 7 7 6 5 6 8 9 9 8 7 7 6 6 7 9 9 7 5 3 3 5 7 8 8 9 8 8 7 6 7 7 7 8 8 9 9 10 10 11 11 12 12 12 10 8 7 6 6 6 6 7 8 9 9 10 9 8 8 7 7 7 7 7 8 9 10 11 11 11 11 10 9 8 7 8 8 8 8 8 7 7 6 6 7 7 7 7 9 10 12 13 14 14 13 11 9 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 9 12 13 11 9 9 9 6 3 4 7 8 7 7 8 8 7 6 7 6 6 7 7 7 6 6 6 6 9 10 10 8 4 3 4 7 8 8 9 10 9 8 7 7 7 8 8 8 9 9 9 9 10 12 13 14 14 13 12 11 10 9 7 5 4 5 8 9 9 8 8 8 7 7 7 7 7 7 7 8 9 11 12 12 11 9 7 6 7 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 10 12 14 14 14 12 11 11 10 10 10 9 8 7 7 6 6 6 6 6 6 6 7 7 6 6 6 6 6 nan
nan 7 9 11 10 9 10 10 7 4 4 7 9 8 8 9 10 9 8 7 6 6 6 7 6 6 6 5 5 7 9 11 10 7 5 5 7 7 8 9 10 10 8 7 7 7 7 8 8 8 9 9 9 9 10 11 12 13 13 14 14 13 11 8 5 3 4 7 8 9 8 8 7 7 6 6 7 7 6 5 5 6 8 10 11 11 10 8 7 7 8 8 8 8 9 9 9 8 6 5 5 4 4 4 5 6 8 10 12 14 15 15 16 17 17 16 13 10 7 5 5 4 5 5 6 6 6 7 7 7 6 6 6 6 nan
nan 5 6 7 8 9 11 11 7 4 4 6 9 9 9 10 10 9 8 8 7 7 7 7 6 5 5 3 3 5 8 10 10 9 8 7 8 8 8 8 9 9 7 6 6 6 7 7 7 8 8 9 9 10 10 11 12 12 13 14 14 14 13 11 9 6 6 7 8 9 8 7 7 6 6 6 7 8 6 5 4 4 6 8 9 9 10 10 10 9 9 8 8 8 9 9 9 7 5 4 4 4 3 3 2 3 5 7 9 12 14 16 18 19 19 18 14 9 6 4 3 3 3 4 5 6 6 7 7 7 7 7 7 7 nan
nan 3 3 4 7 9 11 11 8 4 3 5 8 10 11 11 10 9 8 8 7 7 7 7 6 5 4 2 2 4 6 8 9 9 8 8 8 8 8 9 9 8 6 5 5 5 6 6 7 7 8 9 10 11 12 13 13 12 12 13 13 14 14 13 12 9 7 7 8 9 9 8 7 7 7 7 8 8 7 6 5 5 5 6 7 8 10 11 12 12 11 10 9 8 8 7 6 5 5 5 5 4 4 3 3 4 5 7 8 9 10 12 13 13 13 11 8 5 4 2 2 2 2 3 4 5 6 7 7 7 7 7 7 7 nan
nan 3 2 3 6 9 11 11 10 6 3 3 6 10 12 12 10 9 8 7 7 7 7 7 7 6 4 2 1 2 4 6 7 8 8 8 8 8 8 9 9 8 5 3 3 4 5 6 6 7 7 8 9 11 12 13 12 12 12 12 13 13 14 15 14 12 10 8 7 8 8 8 8 8 7 7 6 7 7 7 7 6 5 5 7 8 9 10 12 12 12 12 11 10 8 6 5 5 6 6 6 6 5 4 5 5 6 7 7 7 7 8 8 8 6 3 1 2 2 2 2 3 3 4 5 5 6 6 7 7 8 8 8 8 nan
nan 4 2 2 4 7 9 11 12 10 4 2 4 8 11 12 12 11 9 8 8 7 7 7 7 6 5 3 2 1 2 3 5 7 7 8 9 9 9 9 10 9 6 4 3 4 5 6 7 7 7 7 7 8 9 10 11 12 13 13 13 13 14 16 16 15 12 9 6 5 5 6 7 7 7 6 6 7 8 9 8 6 5 5 7 8 9 9 10 11 12 12 12 11 10 8 7 7 7 7 7 7 6 6 6 5 5 6 7 7 7 7 6 5 3 1 1 2 4 5 5 6 6 6 6 6 6 6 6 7 8 8 8 8 nan
nan 5 3 3 3 5 7 10 13 12 7 2 2 5 8 10 12 12 12 10 8 7 7 7 7 7 6 5 4 2 2 2 3 5 6 8 9 9 9 10 10 10 8 6 5 5 6 6 6 6 6 6 6 6 7 8 9 11 13 13 13 13 14 14 14 14 13 11 7 5 3 3 3 5 6 7 7 8 9 9 9 7 6 7 8 8 8 8 8 9 9 10 9 9 8 7 7 8 7 7 7 7 7 7 7 6 5 4 5 6 7 7 6 5 3 3 5 8 10 10 10 9 9 8 8 7 6 6 6 6 7 8 8 8 nan
nan 6 4 3 3 5 7 10 12 11 8 4 2 2 5 8 11 13 13 12 10 9 8 8 8 7 7 6 5 4 3 3 2 3 5 7 8 9 9 10 10 10 10 8 6 6 6 6 5 5 5 5 6 6 7 7 8 9 10 11 12 12 11 10 10 11 12 11 10 7 5 3 2 3 5 7 9 8 7 7 8 8 8 9 9 9 9 8 8 7 8 8 7 6 6 7 7 8 8 8 8 8 8 8 7 6 5 4 4 5 6 7 6 6 6 9 13 16 17 16 15 14 12 11 10 8 7 6 6 6 6 7 7 7 nan
nan 6 4 3 3 5 7 9 10 10 8 5 2 2 4 7 9 12 13 13 11 10 9 9 9 9 8 6 5 5 5 4 1 1 3 6 7 8 8 8 9 10 11 9 6 5 5 5 5 4 4 5 5 6 6 6 6 7 7 8 8 8 8 8 8 9 10 11 11 10 9 8 6 5 6 7 8 7 5 5 7 9 10 9 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 4 4 4 5 6 6 7 11 15 19 19 18 18 18 17 15 13 10 9 7 6 5 5 5 5 6 6 nan
nan 6 4 3 4 5 6 7 8 9 8 6 3 2 4 6 8 10 12 13 12 10 8 9 10 10 9 8 6 6 7 6 1 -1 1 4 7 8 7 7 9 11 12 11 7 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 6 6 6 7 8 9 9 10 11 12 12 12 11 9 7 7 7 7 5 6 8 9 8 7 7 7 7 6 6 7 8 10 11 11 10 9 9 9 8 8 8 8 8 8 8 7 7 6 5 4 5 6 7 8 11 14 15 15 15 16 18 18 16 13 10 9 7 6 5 4 4 4 5 5 nan
nan 7 5 5 5 5 6 6 7 7 7 6 5 4 5 6 8 9 11 13 13 10 7 7 8 9 10 9 7 8 10 9 4 -1 -1 2 6 8 7 7 8 11 13 13 10 7 6 5 4 3 3 4 4 4 3 3 3 4 5 5 5 6 7 8 9 10 9 9 10 11 12 12 11 9 7 7 7 7 7 7 7 6 4 3 3 4 5 6 6 7 8 9 10 11 11 11 10 10 9 9 8 8 8 8 8 7 7 7 6 5 6 7 8 8 8 8 9 9 10 12 13 14 14 11 9 7 6 5 4 4 3 3 4 5 nan
nan 7 7 6 6 6 6 6 6 5 3 4 6 6 7 7 8 9 11 13 13 11 9 7 7 7 8 8 7 9 12 13 9 3 -0 0 3 6 7 7 8 9 12 13 11 10 9 8 6 4 2 3 4 3 3 2 2 3 5 6 7 8 9 9 9 9 9 9 10 10 11 11 11 9 7 6 6 7 8 8 7 5 3 2 2 1 2 4 5 5 5 6 8 9 10 11 12 12 11 10 9 9 9 8 8 8 7 7 7 7 8 8 9 8 7 6 6 6 6 6 6 7 7 6 6 5 4 4 4 4 3 4 4 5 nan
nan 8 7 7 6 6 6 6 6 4 1 2 4 6 8 8 7 9 10 12 12 12 11 9 7 7 7 7 6 7 11 14 13 9 5 3 2 4 6 7 7 8 9 10 11 11 11 11 10 7 5 4 3 3 2 2 2 3 4 6 8 9 9 8 8 8 9 10 11 11 10 11 11 11 10 8 7 8 8 9 8 8 7 6 5 4 4 4 3 3 3 4 6 8 9 11 12 12 11 11 10 10 10 9 8 8 7 8 9 10 10 9 9 9 8 7 6 3 1 -2 -3 -3 -3 -0 2 3 3 4 4 5 5 5 5 5 nan
nan 8 8 7 7 6 6 6 6 4 1 -0 1 5 8 9 8 8 9 9 9 10 12 12 9 7 7 7 6 6 8 11 11 11 10 7 4 4 6 7 6 6 7 8 9 9 11 11 11 9 7 5 4 2 1 1 2 2 3 4 5 6 6 6 7 7 9 10 11 11 10 10 11 12 12 12 11 9 9 10 11 12 12 11 10 10 9 8 6 5 4 4 5 7 9 10 10 11 11 11 11 11 11 10 9 8 7 8 10 11 10 9 8 8 9 9 6 3 -0 -3 -4 -5 -5 -1 2 4 5 5 5 6 6 6 6 6 nan
nan 8 8 8 7 7 6 6 6 5 3 1 -0 2 7 10 11 10 8 7 5 7 11 13 11 8 7 7 7 7 6 7 7 9 11 9 4 4 8 9 8 7 7 8 8 8 9 11 11 10 9 9 7 6 3 3 2 2 2 2 1 1 2 3 5 6 7 9 10 10 10 10 10 11 12 13 13 11 11 10 12 13 14 14 13 13 13 12 10 9 8 6 4 5 7 8 8 9 10 10 11 11 12 12 10 9 8 9 9 9 8 7 6 6 7 7 6 6 6 6 5 4 5 5 6 6 6 6 6 6 6 7 7 6 nan
nan 8 8 8 8 7 7 6 6 6 5 3 1 1 5 10 13 13 10 6 3 5 9 10 11 10 8 8 7 7 6 5 5 9 12 9 4 3 6 9 9 8 7 7 7 8 8 9 11 11 11 12 12 12 10 10 9 8 6 5 2 -0 -0 1 3 5 7 8 8 9 9 9 9 9 10 12 13 13 12 11 11 12 12 13 13 13 12 12 13 13 12 9 6 4 5 5 7 9 10 10 11 11 12 12 11 10 10 9 8 6 5 6 6 6 5 5 7 9 12 15 15 13 11 9 8 7 7 6 6 5 6 6 7 7 nan
nan 9 8 8 8 8 7 7 6 7 6 4 2 1 5 10 13 14 12 7 3 4 6 7 9 10 9 8 8 7 6 4 4 8 12 11 7 4 4 6 8 9 8 8 7 7 8 8 9 9 10 11 12 13 13 14 15 14 13 11 9 6 4 3 3 5 6 6 7 7 7 8 8 9 9 11 12 12 11 10 10 10 10 10 10 11 11 13 14 14 13 12 11 8 7 7 8 9 9 9 9 9 10 10 11 11 10 8 6 5 5 7 9 9 9 9 10 11 12 14 14 13 10 8 7 6 6 5 5 4 5 6 7 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
18 18 17 17 18 18 19 21 21 21 20 20 20 21 23 26 31 36 31 26 24 23 23 25 28 30 30 28 24 21 22 23 26 28 30 29 27 26 27 25 20 18 18 16 13 12 10 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 1 6 18 33 44 50 50 56 59 58 61 60 59 60 60 59 59 59 60 63 64 67 70 75 80 83 88 93 96 98 98 98 96 95 96 97 98 101 106 112 117 119 109 96 88 83 80 76 69 66 65 65 65 64 62
20 19 18 18 18 17 16 17 17 18 19 19 21 22 25 31 33 30 26 21 18 19 23 28 32 33 29 24 21 21 23 25 27 27 26 24 23 24 23 20 17 17 16 14 12 10 8 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 5 18 30 34 40 47 49 57 59 62 60 58 58 58 58 57 56 57 63 68 71 72 71 74 78 80 83 87 91 94 98 100 98 94 92 93 95 100 109 119 125 114 102 95 90 86 82 77 72 70 69 68 66 65
21 21 20 20 20 19 18 18 18 18 19 20 21 24 27 30 30 26 22 19 18 21 26 30 31 27 23 21 22 23 23 24 25 22 20 20 22 22 19 17 17 15 14 12 10 8 6 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 1 6 18 28 32 36 48 46 52 58 61 60 59 59 58 58 53 49 50 56 63 70 78 81 78 77 77 77 80 83 85 88 91 93 92 91 90 91 92 100 110 114 109 101 97 97 96 91 85 79 77 76 74 71 70
22 22 22 22 21 20 20 21 21 20 21 22 23 25 28 28 26 23 19 18 20 24 28 30 27 22 21 21 23 25 24 23 20 18 17 19 20 19 16 16 15 14 12 10 8 6 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 1 6 17 26 28 30 42 46 49 55 58 60 62 61 58 59 55 51 50 53 57 64 70 74 77 78 79 80 81 80 80 82 84 87 90 92 92 92 94 100 105 106 103 99 96 97 100 101 97 90 87 86 84 83 83
22 22 22 21 20 20 20 22 22 23 23 24 25 25 27 26 23 19 17 19 22 25 27 27 23 20 21 22 23 23 20 19 19 19 19 19 18 16 14 14 14 12 10 9 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 1 8 21 26 27 30 39 44 49 53 57 60 62 63 62 62 60 54 52 54 59 64 66 66 66 70 76 81 82 81 79 77 79 84 89 91 95 95 99 106 108 105 101 97 94 93 96 102 105 101 97 95 93 93 94
22 22 22 20 20 20 20 22 23 24 24 24 24 24 24 21 17 16 18 20 23 25 25 22 20 20 20 21 22 19 17 17 20 21 20 19 16 14 13 13 12 10 9 7 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 0 0 0 0 0 0 0 0 0 2 13 22 25 28 34 40 44 48 53 56 58 59 61 63 65 62 59 57 58 63 67 67 65 62 67 67 75 81 85 85 80 77 85 92 94 97 100 104 108 106 102 99 94 91 90 90 92 100 102 101 101 101 101 103
23 24 23 18 18 20 21 22 23 24 25 24 23 23 21 17 14 15 18 20 23 23 22 20 19 20 22 21 20 18 18 19 20 19 17 15 13 13 13 13 10 8 7 6 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 4 16 21 26 31 38 42 46 51 55 57 57 57 58 60 67 66 64 62 62 68 71 71 68 64 64 66 70 78 85 89 92 88 92 98 99 103 106 107 105 102 101 98 93 90 91 89 92 97 101 104 107 111 110 112
25 23 21 18 18 19 21 22 23 24 25 25 22 21 17 14 14 15 18 19 20 21 20 18 19 19 21 19 18 18 19 18 16 15 14 13 11 12 12 10 8 7 6 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 0 0 0 0 0 0 0 0 1 7 16 22 27 33 38 42 49 55 58 60 60 59 59 61 66 68 65 62 64 68 69 73 69 68 67 66 67 72 80 83 93 95 98 105 106 108 110 109 108 108 107 103 94 90 90 91 94 97 101 106 111 116 117 120
22 20 18 17 18 19 21 23 24 25 24 24 23 20 16 14 14 15 16 17 18 19 18 16 18 19 18 17 17 16 15 13 11 12 11 13 11 10 10 8 6 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 0 0 0 0 0 0 0 0 0 1 9 16 23 28 35 41 47 55 60 60 62 63 62 62 66 68 67 63 59 63 67 69 72 73 72 69 66 64 65 72 79 89 97 104 111 114 114 114 115 116 114 113 109 97 91 90 91 90 92 98 103 108 112 116 120
20 18 16 16 17 19 21 22 23 24 24 23 22 19 15 13 13 14 16 17 17 16 14 15 16 17 16 16 15 14 12 11 10 10 9 10 9 9 8 7 6 6 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 1 8 17 24 31 38 44 52 59 63 63 66 69 71 72 72 72 69 64 59 64 68 70 70 71 70 67 65 64 62 67 74 82 88 95 107 116 120 123 124 119 116 117 111 102 96 94 92 92 94 95 98 104 107 111 115
17 16 15 15 16 18 20 22 23 25 25 24 23 20 16 14 13 14 16 17 18 16 13 14 14 15 14 14 12 11 10 9 8 8 8 8 7 6 6 5 5 4 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 1 8 17 25 32 40 48 56 59 63 68 72 76 79 79 78 78 77 72 68 69 70 67 66 68 69 69 67 63 63 67 76 82 88 96 105 113 117 120 122 118 118 119 114 106 102 100 98 96 97 97 97 102 106 110 112
14 13 13 14 16 18 21 23 25 27 27 28 26 22 18 15 13 13 15 16 17 14 11 12 12 12 12 12 11 10 9 7 7 7 6 6 5 4 4 4 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 0 0 3 9 17 24 32 44 49 58 59 63 70 76 81 84 85 85 85 81 76 74 72 71 68 65 66 67 67 67 65 66 70 78 84 89 95 103 108 109 112 117 119 121 120 115 110 108 106 103 100 98 98 98 102 107 111 114
12 11 11 12 15 18 21 23 26 29 31 31 29 26 22 18 15 14 15 17 17 13 10 11 11 11 10 9 9 8 7 5 4 4 4 3 3 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 0 0 0 3 10 17 24 33 44 53 60 61 65 70 76 79 82 85 86 87 83 78 75 73 71 69 68 66 64 64 65 66 67 71 76 82 91 100 106 104 105 110 114 116 116 117 116 113 112 109 107 103 99 98 98 101 105 111 116
13 12 12 13 15 18 22 25 29 32 33 33 31 29 26 21 17 15 16 18 17 12 10 11 10 9 8 7 7 6 4 2 2 3 2 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 0 0 0 0 0 1 4 10 15 22 29 39 52 61 63 64 69 74 78 81 84 86 86 82 79 77 74 71 68 67 68 66 65 64 65 67 69 72 79 93 102 104 103 105 107 110 110 110 110 111 112 111 107 108 104 101 100 99 100 103 111 117
16 15 15 15 16 18 22 27 30 32 32 32 31 30 27 24 20 17 18 19 17 12 11 11 10 8 7 6 5 4 2 2 2 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 1 4 9 14 20 27 36 46 57 62 64 67 73 78 81 84 85 83 80 78 75 73 69 66 65 66 65 65 65 65 67 70 73 80 93 99 101 104 106 106 107 107 106 105 105 109 109 108 107 105 102 100 102 103 105 109 113
16 17 16 17 17 18 19 25 28 30 31 31 31 30 28 26 25 22 21 20 17 13 11 11 10 8 7 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 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 14 20 25 34 41 50 58 63 67 72 75 78 82 84 82 79 77 75 73 70 65 65 65 64 63 63 65 68 72 78 85 91 97 102 106 108 108 107 105 103 101 101 104 106 108 107 105 102 101 105 106 107 108 111
14 14 13 13 15 16 17 20 24 28 29 30 30 30 28 27 26 24 22 20 18 14 12 11 10 8 6 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 0 0 0 2 6 13 20 25 33 41 49 57 62 64 69 73 77 80 82 80 77 75 74 73 71 67 66 66 65 63 63 67 70 74 81 89 94 99 103 107 110 110 108 105 99 99 98 100 102 104 106 105 103 101 104 107 109 109 110
7 7 6 7 11 14 16 16 19 23 26 28 29 28 27 25 25 24 22 20 18 15 12 11 10 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 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 18 24 31 39 49 58 63 62 67 71 76 80 81 79 75 73 72 71 70 68 67 65 64 64 66 70 73 79 87 95 100 104 107 109 110 111 109 104 99 98 99 99 99 101 103 106 105 104 103 107 111 112 112
2 3 4 6 10 13 16 16 16 18 21 23 25 25 23 22 21 22 21 19 18 16 13 11 10 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 2 5 10 16 21 27 36 47 55 62 62 66 71 76 80 82 80 75 72 70 68 67 67 65 64 64 65 68 72 75 83 91 98 104 109 113 115 114 113 110 103 100 100 100 99 99 101 104 105 105 103 102 107 112 114 116
1 2 4 7 10 13 15 16 16 15 17 19 20 20 19 18 18 19 20 20 18 16 13 11 8 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 0 0 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 10 15 20 26 35 45 52 59 61 65 69 74 79 82 80 76 72 68 65 64 62 62 62 62 64 67 73 79 88 95 102 109 116 121 122 118 114 110 107 107 108 107 105 105 108 108 109 110 108 109 111 112 114 116
2 4 6 8 11 11 12 13 14 15 16 17 17 17 17 18 17 17 19 19 18 14 12 10 7 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 0 0 0 0 0 1 3 8 15 20 24 35 44 52 57 58 61 66 71 76 80 80 76 72 68 64 62 61 60 61 64 67 68 76 84 92 100 108 115 121 125 123 118 113 111 112 114 113 113 113 115 116 115 115 116 116 116 114 113 110 113
4 6 7 8 10 10 11 11 12 14 15 17 17 17 17 18 17 17 18 17 15 13 12 10 6 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 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 12 18 22 32 42 49 55 56 59 63 68 73 78 80 78 73 68 64 62 60 59 61 65 69 72 78 86 94 103 111 118 125 125 121 114 109 109 110 113 115 117 117 119 118 118 117 117 117 117 116 114 109 110
3 6 7 8 9 9 10 10 11 13 14 14 15 17 18 17 15 16 16 14 13 11 10 8 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 2 5 10 16 22 30 39 45 52 56 58 61 64 68 74 78 79 76 71 66 62 59 58 62 66 71 75 80 86 94 102 111 120 124 122 116 110 106 106 108 112 114 115 115 117 118 119 120 119 116 116 116 114 111 110
2 4 6 9 9 9 9 9 10 11 11 12 12 13 11 12 13 13 13 12 11 9 7 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 0 0 0 0 0 0 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 13 20 27 36 44 51 56 57 57 60 64 69 73 76 75 72 68 62 58 57 61 66 70 74 79 84 91 97 107 115 119 119 112 107 105 105 106 108 109 111 113 116 117 118 118 116 113 113 112 112 111 111
1 2 5 8 9 9 9 9 8 8 8 9 11 12 12 11 10 10 10 9 8 6 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 0 0 0 0 0 0 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 18 25 33 42 49 55 57 53 57 61 64 67 70 72 72 68 62 58 58 61 64 68 72 76 81 86 91 98 105 114 116 113 110 111 109 107 107 108 109 112 114 114 114 112 113 111 110 109 108 108 109
0 2 4 5 7 8 7 7 6 5 5 5 6 7 8 7 7 7 5 4 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 0 0 0 0 0 0 0 0 0 0 2 5 13 18 23 29 38 47 51 54 52 54 57 60 63 66 68 70 67 61 57 57 60 64 67 71 74 77 79 82 86 91 102 110 113 116 117 110 108 109 111 112 113 115 115 114 111 109 109 108 107 106 107 107
0 1 2 3 4 5 5 4 3 2 2 1 1 1 3 4 4 4 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 0 2 4 11 17 21 26 35 46 48 52 51 52 55 58 61 63 64 66 64 60 57 56 58 63 65 69 71 72 74 76 78 82 88 97 105 114 120 118 115 116 118 117 117 120 120 117 113 110 108 107 107 107 107 106
0 0 1 1 2 3 3 2 1 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 0 0 0 0 0 0 0 0 0 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 14 19 23 31 43 47 49 51 50 52 56 58 59 60 62 62 60 58 58 59 62 63 67 70 71 72 71 71 74 79 85 93 103 114 117 117 118 122 124 124 124 120 118 114 112 110 108 107 107 109 109
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 22 28 38 44 46 47 48 48 53 56 56 57 59 60 60 62 63 62 63 64 68 71 73 73 71 69 68 70 75 83 94 104 110 113 117 126 135 135 130 125 124 121 117 115 113 112 110 114 113
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 15 20 26 33 40 43 43 46 47 50 53 54 54 55 57 59 62 63 65 66 66 69 69 69 68 68 67 67 66 70 77 87 97 107 116 122 133 141 141 134 130 129 127 123 120 120 122 123 125 126
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