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