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