Vorticity
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nan 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 9 9 8 7 6 5 4 4 5 7 9 8 7 6 6 5 6 6 6 6 6 7 7 6 6 6 6 4 0 -4 -6 -2 2 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
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nan 7 7 7 8 8 8 8 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 8 14 20 22 19 15 11 7 6 7 7 7 6 6 6 6 6 6 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 nan
nan 7 8 8 8 8 8 8 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 7 6 6 7 7 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 8 8 8 8 7 7 7 7 7 6 6 7 10 16 21 22 21 19 16 14 13 13 11 9 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 nan
nan 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 8 9 9 9 8 7 7 7 7 6 6 7 7 8 11 15 19 23 24 25 25 24 22 18 13 8 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 nan
nan 7 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 9 8 7 7 6 6 7 7 8 8 8 8 7 8 8 8 8 8 7 7 7 7 8 8 7 7 7 8 8 8 7 7 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 8 10 13 17 20 22 23 24 24 21 16 11 7 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 8 8 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 8 7 7 7 8 8 8 9 9 8 8 8 8 8 7 8 8 9 8 8 8 9 11 12 13 13 14 17 19 19 15 11 7 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 nan
nan 7 7 7 7 8 9 9 8 7 7 7 7 7 7 7 7 6 6 7 8 9 9 8 7 7 7 6 6 7 8 8 8 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 8 8 8 7 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 11 16 21 22 18 13 9 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 nan
nan 7 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 6 6 7 8 9 9 8 7 7 6 6 6 6 7 9 9 8 6 6 6 7 8 9 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 8 8 9 9 8 8 8 8 8 7 7 7 7 9 13 20 24 25 22 17 11 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 5 5 nan
nan 7 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 7 9 9 9 8 8 7 6 6 6 6 7 8 9 8 6 5 5 6 7 8 9 10 10 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 8 8 10 14 19 23 26 25 21 15 11 8 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 5 5 5 5 nan
nan 6 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 7 6 7 7 8 8 9 8 7 6 6 6 6 7 8 9 10 8 7 6 6 6 6 5 5 6 6 7 7 8 8 8 8 8 8 8 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 12 17 23 27 27 24 19 14 12 11 10 9 8 8 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 nan
nan 5 6 6 7 8 8 8 7 6 6 7 7 8 8 9 10 9 9 9 9 8 8 9 9 8 7 6 7 7 8 8 8 7 6 6 6 6 6 7 7 8 9 7 6 5 5 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 7 6 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 9 10 14 20 24 26 26 24 22 22 21 19 15 11 8 7 6 6 5 5 5 4 4 5 5 5 5 5 5 5 nan
nan 4 5 6 7 8 9 8 7 6 5 6 7 8 9 10 10 9 9 9 9 9 9 9 9 8 6 5 5 6 7 8 8 7 7 7 6 7 7 8 8 8 8 7 6 5 6 7 8 8 8 7 6 6 6 7 8 8 9 9 9 8 8 7 5 5 5 6 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 9 12 16 21 26 28 28 28 29 27 22 15 10 7 6 5 5 4 4 4 4 5 5 5 5 5 5 5 nan
nan 3 4 5 7 9 10 9 8 6 4 5 7 8 9 10 10 9 9 9 10 9 9 9 9 8 6 4 4 4 6 7 8 8 7 7 7 7 8 8 9 9 8 7 6 6 7 8 8 9 9 8 8 8 8 9 9 9 10 10 10 10 11 10 8 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 9 9 8 8 7 7 7 8 8 8 8 10 14 18 21 22 22 21 20 18 13 9 6 5 4 4 4 4 5 5 5 5 6 6 5 5 5 nan
nan 3 2 4 6 9 10 11 10 7 5 4 6 8 9 9 9 8 8 9 9 9 9 9 9 8 6 4 3 3 5 6 7 8 8 8 8 8 8 9 9 10 9 7 6 7 8 9 9 9 8 8 8 8 9 9 9 9 9 10 11 12 13 12 11 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 8 8 9 9 9 8 7 7 8 9 9 8 8 8 8 7 7 7 8 8 8 9 11 12 14 14 12 9 7 7 6 5 4 4 5 5 5 5 5 5 6 6 6 5 5 5 nan
nan 3 2 3 5 8 10 11 11 10 6 4 5 6 8 8 8 8 8 8 8 8 8 8 8 8 7 4 3 3 4 6 7 7 7 7 7 7 8 9 10 10 9 7 6 7 8 9 9 8 8 7 6 7 7 8 8 8 8 10 11 13 14 14 14 13 11 9 8 8 7 7 7 7 8 8 7 7 7 8 9 9 9 9 9 8 7 7 8 8 8 9 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 10 11 10 7 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 nan
nan 4 3 2 4 6 8 10 12 11 8 5 4 6 7 7 7 8 8 8 8 8 8 8 8 8 7 6 4 3 3 5 6 7 6 7 7 6 7 8 9 10 9 7 6 7 7 8 8 7 7 7 7 7 7 7 7 7 8 9 11 13 14 15 15 15 14 13 11 9 8 7 7 7 8 9 9 7 6 7 8 9 9 9 9 8 7 7 8 8 8 8 9 10 10 10 10 9 9 8 8 9 8 8 7 7 7 7 8 8 8 8 9 10 11 10 9 8 9 9 8 7 6 6 6 6 6 6 6 6 5 5 5 4 nan
nan 6 4 3 3 5 7 9 11 11 9 6 5 5 6 7 8 9 9 9 8 8 8 8 8 8 7 6 5 4 3 4 5 5 6 6 6 6 6 7 8 9 9 7 6 6 6 6 5 6 7 8 9 9 9 8 8 8 8 8 10 12 14 14 15 15 16 15 14 12 10 8 7 7 8 9 10 9 7 7 7 8 9 9 9 8 8 7 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 8 8 7 7 7 8 8 8 8 9 11 13 15 16 18 20 20 16 12 9 8 7 6 6 6 6 5 5 5 4 4 nan
nan 6 5 4 4 5 6 8 9 10 9 7 5 5 6 7 9 10 10 10 9 9 8 8 9 8 8 7 6 5 5 4 3 3 4 6 6 6 6 6 8 9 10 8 6 4 4 4 4 5 6 8 9 9 9 9 9 8 7 8 9 10 11 12 13 15 16 16 15 13 12 10 8 8 8 9 10 10 9 8 7 7 8 8 8 8 7 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 8 8 11 15 18 21 24 26 27 29 27 22 16 11 7 6 5 5 5 5 5 4 4 5 nan
nan 6 5 5 6 6 6 7 8 9 9 8 6 5 6 7 8 9 10 11 11 9 7 8 9 9 9 8 7 7 7 5 2 1 3 5 7 7 7 6 7 9 11 10 6 4 4 3 2 3 5 7 8 7 7 8 8 8 8 8 8 8 9 9 10 13 15 15 14 14 13 12 10 9 8 8 9 10 9 8 7 7 7 8 8 8 8 8 8 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 10 14 18 20 20 21 23 27 30 28 23 15 9 6 5 5 4 4 4 4 5 5 nan
nan 6 6 6 7 7 7 6 7 8 8 7 7 6 7 7 8 9 11 12 12 10 8 7 8 9 9 8 8 9 9 7 4 1 1 4 7 8 7 7 7 8 11 11 8 6 5 4 3 2 3 5 6 5 5 6 8 9 10 11 10 9 8 7 8 10 12 13 13 14 14 13 11 10 9 8 9 9 9 7 7 7 7 7 8 8 8 8 8 9 8 8 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 10 12 13 12 12 14 18 24 27 26 19 12 8 6 5 4 4 5 5 6 6 nan
nan 7 7 7 8 8 7 7 7 7 6 6 7 7 7 7 7 9 11 13 14 12 10 8 7 7 8 8 7 8 10 10 7 4 2 3 6 8 7 6 6 7 10 11 9 8 7 5 3 1 2 3 5 5 6 8 9 10 12 12 11 9 7 6 8 8 9 11 12 13 13 13 12 11 10 10 9 9 8 7 7 8 8 8 7 8 8 8 8 8 8 8 9 9 9 8 7 7 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 9 8 7 8 12 18 22 20 13 9 6 5 5 6 6 7 7 7 nan
nan 8 8 8 8 8 8 7 7 6 5 6 6 7 7 7 7 8 10 12 13 13 12 10 7 7 7 7 6 7 9 11 10 7 4 4 6 7 7 6 6 6 8 10 10 10 9 7 4 1 0 1 3 5 8 10 11 12 13 12 10 7 5 5 6 6 6 8 11 13 13 13 13 12 12 11 11 9 8 8 8 9 9 8 7 6 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 7 7 8 7 7 8 8 8 5 2 -1 -1 3 7 10 9 7 6 6 7 7 7 7 7 7 nan
nan 8 8 8 8 9 8 7 7 6 5 5 6 7 8 7 7 7 9 10 11 12 13 12 9 7 7 7 7 7 8 9 9 8 7 6 5 5 6 6 5 5 7 9 10 10 10 9 7 3 0 -0 1 3 6 10 12 13 12 10 8 5 3 4 4 4 4 5 8 10 11 12 13 13 13 13 13 11 9 8 9 9 9 8 7 6 5 5 5 5 6 7 7 8 8 9 9 9 10 10 11 11 11 11 10 10 9 9 8 7 7 8 8 8 8 8 8 6 2 -4 -8 -8 -5 -1 2 5 6 7 7 8 8 7 7 6 nan
nan 8 8 9 9 9 9 8 7 6 6 6 6 7 8 8 8 8 8 8 8 10 13 12 10 8 8 8 8 8 7 7 7 8 9 7 4 4 5 6 5 5 6 8 9 10 11 11 9 7 4 1 1 1 3 7 11 13 13 11 8 5 5 4 4 3 2 3 5 7 9 11 12 13 13 14 13 12 10 9 9 9 9 9 8 8 7 6 6 5 5 6 6 7 7 7 8 8 9 9 9 10 11 10 10 10 10 8 7 7 8 8 8 9 9 11 13 14 12 6 -1 -4 -4 -3 0 3 6 7 7 7 7 6 6 6 nan
nan 8 8 8 9 9 9 8 7 7 6 6 6 7 8 9 10 9 8 6 5 8 11 12 11 10 9 9 9 9 7 6 6 8 10 8 4 3 4 5 5 5 6 6 7 8 10 11 11 10 7 5 2 1 1 3 6 10 12 12 11 9 8 7 6 4 3 3 3 3 5 7 10 11 12 13 13 12 11 10 10 9 9 10 10 10 9 9 8 8 7 7 6 6 6 6 7 7 7 7 8 8 9 9 10 10 9 8 8 8 8 9 9 9 9 12 16 19 22 20 15 10 6 3 3 4 5 6 6 6 6 6 5 5 nan
nan 9 8 7 8 9 9 9 8 7 7 6 6 6 7 9 10 10 8 6 6 7 9 10 11 11 10 10 10 9 7 6 6 8 10 9 6 4 4 4 5 6 6 6 6 7 8 10 12 11 10 8 5 3 1 0 1 4 7 10 11 12 12 11 9 8 6 5 3 2 2 4 6 8 10 11 12 12 12 11 10 10 10 10 10 11 10 10 9 9 9 9 8 7 6 6 6 6 7 7 7 7 8 9 9 9 9 9 8 8 8 9 9 9 9 10 13 17 21 24 23 20 14 9 6 5 5 5 5 5 5 5 5 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 6 8 8 9 9 9 11 11 12 13 14 14 15 15 14 12 10 10 10 10 11 12 12 13 13 12 10 9 9 9 9 9 8 8 8 8 8 7 6 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 0 5 20 36 42 44 51 54 52 51 50 49 50 52 55 59 60 57 53 46 44 45 49 55 62 68 72 74 76 80 85 91 95 97 100 99 98 96 93 87 81 80 83 98 98 103 106 94 78 83 102 106 88 78 89
4 5 7 7 6 8 8 8 9 10 12 12 12 13 12 11 10 10 10 10 11 11 11 12 11 10 9 9 8 8 8 8 8 8 8 7 6 6 6 5 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 6 20 33 37 40 48 55 51 49 47 45 44 45 45 47 51 55 60 56 53 49 47 49 55 61 65 68 70 72 74 76 81 89 91 94 96 99 99 91 82 83 85 92 93 91 94 94 90 90 98 110 106 88 90
2 3 5 5 5 6 7 8 8 9 9 9 9 9 10 9 9 9 9 10 10 10 9 9 8 7 7 8 8 8 7 7 7 7 6 5 4 5 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 1 8 21 30 34 39 44 53 53 53 51 48 45 42 39 40 43 47 53 56 59 59 52 46 47 54 59 63 66 67 66 68 71 76 78 80 84 90 96 94 90 93 96 92 89 87 93 107 111 98 89 105 110 102 94
1 3 3 3 5 6 6 6 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 8 8 7 6 5 5 5 5 5 4 3 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 2 8 19 29 32 37 38 42 49 53 54 53 53 50 40 37 36 38 41 46 51 58 58 54 51 51 56 60 63 64 62 63 67 70 72 75 78 81 88 94 101 107 108 101 95 93 94 103 103 88 86 96 103 104 96
1 1 2 3 4 4 5 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 6 5 5 4 3 3 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 3 10 22 27 28 29 33 36 41 46 49 51 53 53 48 41 37 34 35 37 41 47 53 56 54 53 56 61 64 65 65 66 69 72 73 74 75 76 83 92 104 109 112 111 105 96 86 84 89 91 95 97 99 96 90
1 1 2 2 3 3 4 5 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 5 4 4 4 3 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 3 13 19 23 28 31 34 35 34 35 39 43 46 49 49 46 42 36 34 34 34 37 42 48 56 58 60 65 71 74 74 74 76 80 77 75 76 75 76 80 95 108 112 115 113 103 96 102 104 100 101 101 96 92 93
1 1 1 1 2 2 2 4 5 5 6 7 7 7 7 7 8 7 6 6 7 6 6 5 5 4 4 3 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 4 13 15 20 27 34 37 35 31 29 32 34 38 39 41 43 43 41 37 34 32 32 34 37 45 55 60 67 75 79 79 79 81 79 77 77 79 79 75 75 86 99 108 117 123 113 109 114 116 110 106 103 98 98 101
2 1 1 1 2 2 2 3 4 4 4 5 6 6 6 6 6 6 6 6 6 6 5 4 4 3 3 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 0 0 0 0 0 0 1 5 10 14 18 23 30 35 35 31 29 29 28 31 33 34 36 38 39 38 36 34 31 32 33 37 43 51 61 70 74 74 74 73 70 70 72 75 80 80 77 79 87 93 106 119 117 123 136 138 128 116 112 108 110 118
2 2 2 2 2 2 2 2 2 3 3 4 4 5 6 6 6 6 6 6 6 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 8 12 16 20 23 27 29 31 31 33 27 26 27 28 30 32 33 35 35 35 33 33 32 32 35 43 53 60 63 65 66 65 65 66 67 68 71 75 79 84 80 82 92 102 108 118 128 137 138 126 127 130 119 117
1 2 2 2 2 2 2 2 1 3 3 5 5 5 6 6 6 6 6 6 6 5 3 4 4 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 0 0 0 1 5 7 10 15 18 21 24 26 31 32 34 28 26 25 24 25 26 28 31 32 34 34 34 33 32 32 38 48 54 56 57 57 59 61 62 63 63 64 67 71 81 82 81 83 87 94 104 113 117 120 120 128 131 126 123
1 1 2 2 2 2 2 2 2 3 4 5 6 6 6 6 6 7 6 5 5 4 4 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 0 0 0 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 8 12 16 18 20 21 27 29 30 29 27 25 24 23 22 23 26 28 30 32 35 35 33 33 37 45 52 55 53 52 53 55 56 58 59 60 60 63 71 77 81 81 83 88 95 104 111 113 112 116 120 123 124
1 1 2 2 2 2 2 2 3 3 4 5 6 7 7 7 7 6 6 5 5 4 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 0 0 0 0 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 14 17 20 20 23 25 26 27 27 25 24 22 22 22 23 24 25 28 31 33 34 36 38 44 48 51 52 52 51 51 52 54 57 57 57 59 64 71 78 81 82 84 88 96 100 107 109 113 117 121 125
1 1 1 1 2 2 3 3 3 3 3 4 6 6 6 6 5 5 4 5 5 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 0 0 0 0 0 0 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 9 12 15 18 20 21 21 22 24 24 23 23 22 22 23 23 22 22 23 26 30 33 36 39 41 43 46 49 51 51 51 51 51 55 57 57 56 56 60 68 75 80 80 82 87 87 93 100 105 111 119 127
1 1 1 1 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 4 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 2 5 7 11 14 17 19 20 19 18 21 22 22 22 22 22 22 22 22 21 21 23 26 30 35 36 36 39 42 45 47 48 49 50 52 54 56 56 54 53 56 60 67 73 73 76 79 83 85 87 90 98 108 117
2 1 1 2 2 2 2 2 2 3 2 3 4 4 5 5 5 5 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 13 17 19 20 18 17 19 20 20 20 21 20 21 21 21 21 21 21 21 26 30 31 33 37 40 42 43 43 44 47 51 53 56 56 55 53 53 55 58 64 66 69 72 74 76 78 80 87 92 100
2 1 1 1 2 2 2 2 3 3 3 3 4 5 5 4 4 4 4 4 2 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 0 0 0 0 0 0 0 0 0 0 0 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 8 11 15 18 19 18 18 17 19 20 20 20 20 20 20 20 21 21 21 22 24 27 30 31 33 36 36 37 39 41 44 49 52 55 55 54 53 53 54 54 57 60 62 65 67 70 74 76 79 84 89
1 1 1 1 1 2 2 2 2 2 3 3 3 4 4 3 4 4 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 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 13 16 17 18 17 16 18 19 20 20 20 20 19 19 20 21 20 20 22 26 28 30 32 33 34 33 36 39 43 47 51 53 55 53 55 55 54 55 56 56 56 57 61 64 67 70 74 79 84
1 1 0 0 0 1 1 1 2 2 3 3 3 3 3 3 3 3 2 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 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 9 12 14 16 17 16 15 17 18 18 18 19 19 19 19 19 20 21 21 22 24 28 30 33 34 36 36 37 38 41 45 49 52 56 54 56 57 57 58 57 56 55 55 56 58 60 63 66 72 80
0 0 0 0 0 1 1 1 2 2 3 3 3 3 3 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 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 11 14 15 15 15 16 17 19 19 19 19 19 19 19 20 20 21 21 22 24 27 32 36 38 37 36 37 38 41 45 48 50 53 55 56 57 59 59 58 57 56 54 53 54 55 57 59 65 73
0 0 0 0 0 0 0 1 2 2 2 3 3 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 0 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 9 12 13 14 15 16 19 20 20 20 20 19 19 19 20 20 20 21 23 25 28 31 37 41 41 38 37 38 42 46 48 50 52 53 55 57 58 59 59 58 56 55 54 53 54 54 56 60 64
0 0 0 0 0 0 0 1 2 2 2 2 2 2 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 13 14 15 17 20 21 20 19 19 19 19 19 20 20 21 23 25 27 29 31 34 38 40 39 38 39 43 47 49 51 52 54 55 56 58 58 59 57 56 55 54 54 54 55 56 58 61
0 0 0 0 0 0 0 1 1 1 2 2 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 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 10 12 13 15 18 20 22 22 20 18 18 18 19 20 21 22 25 27 28 29 30 32 34 36 39 40 41 45 48 50 51 52 54 56 57 58 58 57 57 56 55 55 55 55 57 58 59 61
0 0 0 0 0 0 0 0 0 1 1 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 0 0 0 0 0 0 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 9 11 12 14 17 20 23 23 21 18 17 17 18 19 22 26 27 29 29 30 30 31 32 33 36 39 42 46 48 50 51 53 54 55 57 56 55 55 56 57 56 56 55 56 58 59 59 61
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 11 13 15 19 21 23 21 18 16 16 17 19 24 27 28 29 30 30 29 29 30 32 35 38 43 46 48 50 51 52 54 55 55 55 54 55 56 56 56 56 56 58 59 60 60 60
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 11 12 16 18 21 21 19 17 16 17 17 23 26 28 29 29 29 28 28 28 30 33 37 41 45 47 48 50 51 53 52 53 54 55 55 55 56 56 56 57 58 58 60 60 59
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 10 13 17 19 20 20 19 17 17 18 21 24 27 28 29 28 28 27 27 28 30 34 39 42 44 46 48 49 51 52 52 53 54 54 54 55 55 55 54 55 56 57 57 56
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 9 11 14 17 20 21 21 20 18 17 19 21 24 26 27 28 28 27 26 27 28 30 35 38 40 42 45 47 48 49 50 51 52 52 53 52 53 53 52 52 54 54 54 54
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 7 9 12 15 17 20 21 21 20 18 17 18 21 23 25 26 27 27 26 25 25 27 29 33 37 39 41 43 44 46 47 47 48 50 50 50 50 50 50 50 50 50 51 51
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 7 10 13 16 17 19 20 21 21 19 18 18 20 22 24 25 25 25 25 25 25 25 27 30 33 36 39 41 41 43 44 46 47 48 47 47 47 47 47 47 48 48 50
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 6 8 10 12 15 17 18 20 21 21 20 18 16 18 21 23 24 25 25 25 24 24 25 25 27 28 31 35 36 38 40 42 43 44 44 44 45 45 46 45 45 46 47
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 6 8 9 12 14 15 17 18 19 20 16 15 16 18 21 23 24 25 25 25 26 26 26 26 26 27 29 31 33 35 36 38 39 40 41 43 42 42 42 41 42 43
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