Vorticity
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nan 7 7 7 9 10 12 10 7 5 5 6 7 7 7 7 7 7 8 8 8 8 8 9 8 6 6 7 8 8 8 7 7 7 7 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 10 10 10 10 11 11 12 11 9 7 7 7 7 7 8 8 8 8 8 6 5 4 4 3 3 3 3 4 5 7 9 11 13 12 11 9 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 7 7 7 8 8 8 7 nan
nan 6 6 7 8 10 11 10 7 5 5 6 6 7 7 7 7 7 8 8 8 7 8 9 9 7 7 7 8 8 8 8 7 7 7 7 8 8 8 7 6 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 9 10 11 11 10 9 8 8 8 8 9 10 11 11 10 9 7 5 5 5 4 3 2 3 3 5 7 9 13 15 15 13 10 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 6 7 7 8 8 8 8 8 8 nan
nan 7 7 7 8 9 10 9 6 5 5 6 6 7 7 7 7 7 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 7 7 7 7 8 8 7 6 5 5 6 6 6 7 6 6 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 8 8 8 10 11 12 11 10 8 7 7 7 6 5 4 4 4 5 5 6 9 13 15 15 15 14 14 14 14 13 11 10 10 10 9 8 8 7 6 6 5 5 5 4 4 4 4 4 4 4 5 6 6 7 8 8 9 9 9 9 9 nan
nan 8 9 8 8 9 9 8 5 4 5 6 7 7 7 7 7 8 8 8 7 6 7 7 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 5 5 6 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 9 8 7 7 8 9 10 10 9 8 8 8 8 7 7 7 7 6 4 3 5 7 10 14 17 19 21 21 20 18 15 12 11 10 10 9 8 7 7 6 5 5 5 5 4 4 4 4 4 5 5 6 7 8 8 9 9 10 10 10 10 nan
nan 10 10 9 9 9 9 7 3 4 6 7 7 7 7 7 7 8 8 8 7 6 6 6 7 8 7 6 5 6 7 8 8 7 7 6 6 7 7 7 7 7 7 8 9 9 8 8 7 6 5 5 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 12 10 9 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 6 4 3 3 6 10 14 17 19 21 20 18 15 13 11 10 9 9 8 8 7 6 6 6 5 5 5 4 4 4 4 5 5 6 7 8 9 9 10 10 10 10 10 nan
nan 10 11 10 9 9 10 7 3 3 5 7 7 7 7 7 7 7 8 8 9 8 6 6 7 7 7 6 5 4 4 6 7 8 6 5 5 7 7 7 7 7 7 8 9 9 9 9 9 8 7 6 6 7 8 8 7 6 6 7 7 8 8 7 8 8 9 9 9 8 9 10 12 12 12 11 10 10 10 10 9 9 8 8 8 8 9 9 8 7 7 7 6 5 4 4 6 9 10 11 12 14 15 15 14 12 11 9 9 8 8 7 7 7 6 6 6 5 5 5 5 5 5 6 7 8 9 9 10 10 10 11 11 10 nan
nan 9 11 11 10 9 8 6 3 3 5 6 7 7 7 7 7 7 7 8 10 11 8 7 6 7 7 6 6 5 4 4 6 7 7 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 6 5 5 5 6 6 6 6 6 8 8 9 9 8 8 8 9 10 11 11 11 10 10 10 10 10 9 8 8 9 9 10 9 8 7 7 7 7 6 5 5 6 7 7 7 8 12 15 17 16 14 11 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 8 9 10 10 10 11 11 11 11 nan
nan 9 11 12 11 9 7 5 4 3 5 7 7 7 7 7 7 6 6 8 11 12 10 8 7 7 6 6 7 8 7 5 5 5 6 7 7 8 8 8 8 8 7 7 7 7 8 8 8 9 9 10 9 9 9 8 7 7 6 5 5 5 5 5 6 7 8 9 9 9 8 8 8 8 9 9 9 9 9 10 11 11 10 9 9 9 9 10 9 8 8 7 7 7 6 5 5 5 6 6 6 7 11 15 18 18 17 14 12 10 9 9 8 8 8 7 7 7 7 6 6 7 7 7 8 8 9 9 10 10 11 11 10 10 nan
nan 9 12 13 11 9 8 7 5 4 5 7 8 7 7 7 7 6 6 7 9 10 10 9 8 7 7 6 7 10 10 8 5 4 4 5 7 8 8 9 9 8 7 7 7 7 7 8 8 8 9 9 9 10 11 11 11 11 10 8 7 6 5 5 6 7 8 8 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 12 11 10 9 8 8 8 8 7 7 7 6 6 5 6 6 6 6 7 9 12 14 16 18 18 16 13 11 10 9 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 nan
nan 9 12 13 11 9 9 9 6 4 5 8 9 8 7 8 8 8 7 7 7 7 8 8 7 7 6 6 7 9 11 10 8 4 3 4 7 8 8 9 10 9 8 7 7 8 8 8 8 8 8 9 9 10 11 13 14 13 13 12 10 9 8 6 5 4 6 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 11 12 13 11 9 7 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 9 12 15 17 17 16 14 13 12 12 12 11 10 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 nan
nan 7 9 11 10 9 10 10 7 5 5 7 9 8 8 9 10 9 8 8 7 7 7 7 6 6 6 5 5 7 10 11 10 7 5 5 7 8 8 9 10 10 9 7 7 8 8 8 8 8 9 9 9 9 10 11 12 13 13 13 13 12 10 8 5 4 4 6 8 8 8 8 8 8 8 7 8 7 6 5 6 7 9 11 12 11 10 8 7 7 7 7 7 7 8 8 8 7 6 5 5 5 5 5 6 7 9 12 15 16 17 18 18 19 19 17 14 10 8 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 nan
nan 5 6 8 8 9 11 11 8 5 4 6 9 9 9 10 10 9 8 8 8 8 8 8 7 6 5 4 4 5 8 10 11 9 7 7 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 9 9 10 10 11 11 12 12 13 13 13 12 10 8 6 5 6 8 9 8 8 8 8 8 7 8 8 6 5 5 5 7 8 9 10 10 10 10 9 8 7 7 7 8 8 8 7 5 4 4 4 4 3 3 4 5 8 11 14 17 19 21 21 21 19 14 9 6 5 5 5 5 6 6 7 8 8 9 9 9 9 9 9 nan
nan 4 4 5 7 9 11 11 8 5 4 5 8 10 11 10 9 8 8 8 8 9 9 9 8 7 6 4 3 4 6 8 9 9 8 8 8 9 9 9 9 8 6 5 5 6 6 7 7 7 7 8 9 11 11 12 12 12 12 12 13 13 14 13 11 9 7 7 8 9 9 9 9 8 8 7 8 8 7 7 6 6 6 7 8 9 10 11 11 11 10 9 8 8 7 7 6 5 5 5 5 5 4 3 3 4 6 7 8 10 12 14 15 15 13 9 5 3 3 3 4 5 5 6 7 7 8 9 9 10 10 10 10 10 nan
nan 4 2 3 6 9 11 11 10 7 4 4 7 10 11 11 10 9 8 8 8 8 8 8 8 7 6 4 3 3 5 6 8 8 8 8 9 9 8 9 9 8 6 4 4 5 6 6 6 6 7 7 9 10 11 12 12 12 12 12 12 13 15 15 14 12 9 7 7 8 9 9 9 9 8 7 7 7 8 8 7 6 6 6 7 8 9 10 11 11 11 11 10 9 8 7 5 6 7 7 7 6 5 5 5 6 6 7 7 7 8 8 9 7 4 -1 -3 -1 2 3 5 6 6 7 8 8 9 10 10 10 10 10 10 10 nan
nan 4 2 3 5 7 9 11 12 10 5 2 5 8 10 11 11 10 9 9 8 8 8 8 8 8 6 5 3 3 3 4 6 7 8 9 9 9 8 9 10 9 6 4 4 5 6 6 6 7 7 7 7 8 9 10 11 12 12 13 13 14 15 16 16 15 12 10 8 7 7 8 8 9 8 7 6 6 8 9 8 7 6 6 7 8 8 8 9 10 11 11 11 11 10 8 7 7 8 8 8 7 7 6 6 6 6 6 6 7 7 7 6 4 0 -3 -3 1 4 6 7 8 8 9 9 10 10 10 11 11 11 11 11 10 nan
nan 5 3 3 3 5 8 10 13 12 7 3 3 5 8 10 12 12 12 10 9 8 8 8 8 7 7 6 5 3 2 3 5 6 7 8 9 9 9 9 10 10 7 5 5 5 6 6 7 7 7 7 7 7 7 8 9 11 12 13 14 15 15 16 16 16 15 13 10 7 6 5 5 6 7 7 7 7 8 9 9 8 7 7 7 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 7 7 5 3 0 -0 4 8 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 nan
nan 6 4 3 3 5 7 10 12 11 8 4 2 3 5 8 11 12 13 11 10 9 8 8 8 8 7 7 5 4 4 3 3 4 6 7 8 9 9 9 10 10 9 7 6 5 6 7 6 6 7 7 7 7 7 8 8 9 10 11 12 13 14 14 14 15 15 15 12 10 7 5 3 3 5 7 8 8 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 7 6 7 7 8 8 8 8 8 8 8 7 6 5 4 4 6 6 6 5 4 5 9 15 19 19 17 15 13 12 11 10 10 10 10 10 11 11 10 10 10 nan
nan 6 4 3 4 5 7 9 10 10 8 5 2 2 4 7 10 12 13 12 11 10 9 9 9 9 8 7 5 5 6 5 2 2 4 6 8 8 8 8 9 10 10 9 6 4 5 5 5 5 6 6 7 7 7 7 8 8 8 8 9 10 10 11 11 12 13 14 13 12 10 8 6 4 5 6 8 7 6 6 7 9 9 9 8 9 9 8 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 5 6 7 8 12 18 22 23 21 20 19 17 14 11 9 9 9 9 9 9 9 9 9 9 nan
nan 6 4 4 5 6 7 8 9 9 8 6 3 2 4 7 8 10 12 13 12 10 9 9 10 10 9 8 6 6 7 6 2 0 2 5 8 9 8 7 8 10 12 11 7 4 4 4 4 4 4 6 7 7 6 7 7 7 7 7 7 8 8 9 9 10 10 10 11 12 12 11 9 7 6 7 7 7 6 6 7 8 8 7 7 7 7 7 6 7 8 10 11 11 11 10 9 8 8 8 8 8 8 8 7 7 7 7 6 5 5 6 8 10 13 16 18 17 17 17 18 17 14 10 8 8 8 8 8 8 8 8 8 8 nan
nan 7 5 5 6 6 7 7 8 7 7 6 4 4 5 6 7 9 11 13 13 10 8 8 9 10 10 9 7 8 10 8 4 -0 -0 3 7 9 8 7 8 10 13 13 10 7 5 5 4 3 3 4 6 5 5 5 6 7 7 7 7 8 9 9 9 9 8 8 9 10 11 11 10 8 7 7 8 8 8 7 7 6 4 4 4 5 5 6 7 7 8 9 10 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 7 6 7 8 8 9 9 10 10 9 10 12 13 13 11 8 6 6 6 6 7 7 7 7 7 7 nan
nan 7 7 6 6 6 7 7 7 6 4 5 5 6 6 6 7 8 11 13 13 11 9 7 7 8 9 8 7 9 12 12 9 3 0 1 4 7 7 7 8 9 12 13 12 10 9 8 6 3 1 3 4 4 4 4 4 5 5 6 8 9 10 9 9 8 7 7 8 9 10 10 10 9 7 7 7 8 9 8 7 5 4 3 3 2 3 4 5 6 6 7 8 9 10 10 11 11 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 8 7 6 6 5 4 3 4 4 3 3 4 4 5 6 6 6 7 7 7 7 nan
nan 8 7 7 7 7 7 7 7 5 3 3 4 6 7 7 7 8 10 12 12 12 11 9 7 7 7 7 6 7 11 14 12 8 5 3 3 4 6 7 7 8 9 11 11 11 12 11 9 5 3 2 2 2 2 2 2 3 3 5 7 9 9 9 9 8 8 8 9 9 9 10 11 10 10 9 8 8 9 9 9 8 7 6 5 4 4 4 4 4 4 5 7 8 9 11 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 7 4 0 -3 -6 -7 -7 -7 -2 2 4 5 6 7 7 7 7 8 8 nan
nan 8 8 7 7 7 7 7 7 6 3 2 3 5 8 8 8 8 9 9 9 10 12 12 9 7 7 7 7 7 9 11 11 11 10 7 4 4 6 7 7 7 8 9 9 10 11 12 11 8 5 4 3 1 0 0 0 1 1 3 5 6 7 8 8 8 8 8 9 9 9 10 11 11 12 12 11 9 9 10 10 11 11 10 9 9 9 8 7 5 5 5 6 7 9 11 11 11 11 11 11 11 11 10 10 9 8 9 10 11 10 9 8 8 8 7 3 -1 -4 -6 -7 -8 -6 -0 4 6 7 8 8 8 8 9 8 8 nan
nan 8 8 8 7 7 7 7 7 6 5 2 2 4 7 10 10 9 8 7 6 8 12 12 10 8 7 7 7 7 7 7 8 10 12 9 4 4 7 8 7 7 7 8 8 9 10 11 12 11 9 7 6 4 2 1 1 1 1 1 2 2 4 5 6 7 7 8 9 8 9 9 9 10 11 12 12 11 10 10 11 12 13 13 13 13 12 12 10 9 8 6 6 6 8 8 9 9 10 11 11 11 12 11 10 9 9 9 10 9 8 7 6 6 6 5 5 4 5 6 5 4 5 7 8 8 9 9 9 9 9 9 9 9 nan
nan 8 8 8 7 7 7 7 7 7 6 4 2 2 6 10 12 12 10 6 3 6 10 11 11 10 9 8 8 8 6 5 6 9 12 10 5 4 6 7 8 8 8 8 8 8 9 10 12 12 12 11 11 10 8 7 6 6 5 4 2 1 1 3 4 5 6 7 7 7 8 8 8 9 9 11 12 12 11 11 11 12 12 13 13 13 13 12 13 13 11 9 7 6 6 6 7 9 10 10 11 11 11 11 11 10 10 9 8 6 5 5 6 6 5 5 7 10 13 16 15 13 10 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 8 7 7 7 7 6 4 2 2 5 10 13 13 11 7 4 5 7 9 10 10 10 9 8 8 6 4 5 8 12 11 7 5 4 5 7 8 8 8 8 8 8 9 10 11 11 12 12 12 12 12 12 11 11 10 8 5 3 3 3 4 5 6 6 6 7 7 8 8 9 10 12 12 11 10 10 10 10 11 11 11 11 12 13 13 13 12 10 8 8 8 8 9 9 9 9 9 10 10 10 10 10 8 7 5 5 7 8 8 8 9 10 12 14 15 14 11 9 8 8 9 8 9 9 9 9 9 9 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 17 17 18 20 24 32 36 40 44 47 50 51 52 52 49 46 43 39 39 36 38 38 35 30 25 21 19 20 21 18 16 15 16 17 16 15 15 14 14 12 10 10 10 10 6 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 1 9 24 34 40 50 58 70 82 74 74 78 79 77 76 75 74 75 81 96 100 100 103 107 117 132 144 150 145 129 118 113 107 105 101 98 96 95 95 94 93 93 95 96 97 100 101 102 99 93 89 88 87 83
18 19 19 17 16 17 22 27 33 38 42 45 46 47 47 44 40 38 36 36 37 39 39 36 29 23 19 19 20 19 15 14 14 15 15 14 13 12 12 11 10 8 9 9 8 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 2 10 22 29 37 48 54 70 84 78 78 80 82 81 78 75 74 74 81 94 98 98 97 100 112 127 135 138 137 138 132 120 110 106 101 97 95 93 93 95 97 98 98 99 100 100 98 98 98 96 93 92 94 89
17 18 19 19 19 19 19 22 25 29 32 35 38 39 39 35 33 33 32 33 35 37 37 34 28 22 19 20 20 17 13 12 13 13 13 13 12 10 11 10 9 7 7 8 7 5 3 2 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 3 11 22 29 35 48 53 69 81 80 80 84 87 85 79 75 75 76 82 90 94 96 100 103 109 126 134 132 136 149 140 128 116 107 102 98 95 90 89 90 93 95 97 99 102 102 99 95 95 97 95 94 96 96
15 17 18 19 20 20 21 22 23 24 26 29 30 31 33 31 30 29 29 29 32 36 36 32 27 22 20 21 18 13 11 11 12 11 10 10 8 7 9 8 7 6 6 6 5 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 2 11 23 28 35 46 53 68 79 80 80 85 90 90 85 79 77 77 81 88 93 96 98 100 111 127 140 133 136 143 137 127 118 110 104 100 98 93 89 88 91 96 97 97 100 102 102 99 96 98 96 94 94 94
13 15 17 18 19 20 21 22 23 23 25 28 28 27 27 27 27 29 29 29 30 32 31 27 24 20 21 20 16 12 10 10 10 10 8 7 6 7 8 7 5 4 4 5 4 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 2 11 21 27 35 43 52 68 80 82 80 83 88 91 90 85 80 78 80 85 91 94 96 101 112 128 140 134 134 135 131 124 116 110 104 101 98 94 92 92 90 94 99 101 103 104 107 108 103 103 101 98 96 94
10 12 14 16 17 19 21 22 23 24 24 25 25 26 26 27 28 29 30 31 31 29 25 22 20 20 21 18 14 11 9 9 8 7 5 5 5 6 7 4 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 1 4 10 18 25 34 42 50 66 81 83 81 83 89 94 94 92 87 82 82 84 87 89 92 99 108 123 133 133 134 135 132 127 116 111 106 103 98 92 89 91 92 95 99 103 103 101 105 109 108 108 105 100 101 105
10 10 12 14 15 17 19 21 22 24 24 25 27 28 27 28 29 30 30 29 26 23 20 19 20 20 19 15 12 9 8 7 5 3 3 3 4 4 4 2 2 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 3 9 17 25 33 40 48 65 80 84 82 84 90 96 97 95 91 87 85 85 87 87 90 95 105 116 127 133 138 140 134 128 118 112 108 104 99 93 87 85 90 94 98 101 100 98 98 101 103 105 105 102 101 104
12 12 11 12 13 14 16 17 19 20 22 25 26 27 26 26 25 25 24 22 19 18 19 20 21 18 14 12 10 7 5 3 3 2 1 2 3 2 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 2 8 16 25 33 40 47 62 77 84 81 82 89 94 96 95 93 90 89 88 88 89 92 94 100 111 124 134 138 139 135 130 122 114 109 106 102 96 91 89 91 95 99 98 98 97 97 97 98 99 102 104 101 100
12 12 12 13 13 13 13 13 14 15 17 19 19 21 20 20 18 18 18 18 19 20 20 19 17 16 14 11 7 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 2 6 14 23 33 41 48 59 75 84 81 82 88 93 95 96 95 94 93 91 89 90 92 94 99 108 121 131 137 139 137 132 124 115 111 108 103 97 91 88 88 93 95 95 96 96 97 98 97 96 97 100 100 97
11 12 13 14 14 14 14 13 14 14 14 15 15 16 16 17 17 17 19 21 22 22 18 16 14 14 12 8 5 4 3 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 6 12 20 29 38 47 54 72 81 81 82 86 90 92 95 97 96 95 93 91 91 92 94 97 104 114 124 132 135 133 128 121 115 111 108 103 96 88 86 88 90 92 93 95 96 95 95 96 95 94 94 96 95
9 9 11 13 13 14 14 14 15 15 15 15 15 15 17 19 21 22 22 21 20 17 14 13 13 11 8 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 2 6 12 20 28 35 45 51 68 78 80 81 84 89 92 92 95 97 96 94 92 92 93 94 96 100 106 114 123 126 126 123 118 113 110 107 102 94 89 89 90 92 94 95 96 96 94 92 91 92 92 92 92 94
9 8 8 9 11 13 13 14 14 15 16 16 16 16 18 19 18 16 16 16 15 13 12 12 11 9 7 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 1 4 10 18 28 36 43 50 63 75 80 81 82 85 88 90 93 95 96 95 93 92 93 93 92 93 98 105 114 120 122 122 118 113 111 110 105 98 94 91 94 99 102 104 106 101 94 91 90 90 90 88 88 90
10 9 8 7 9 10 10 10 11 13 13 15 15 15 15 14 12 11 11 12 13 13 12 10 8 7 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 0 0 0 0 0 0 0 0 0 0 1 3 9 14 25 33 40 47 58 71 80 80 79 81 85 87 90 93 95 94 92 91 91 89 87 88 93 99 107 113 117 119 117 112 115 115 110 105 104 105 108 111 113 113 110 105 100 99 97 94 91 90 89 89
7 7 6 7 8 9 9 9 9 10 10 11 11 12 12 13 13 14 13 12 11 11 10 8 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 3 8 14 22 30 39 45 53 67 78 80 77 77 81 83 86 89 91 91 90 89 87 82 83 85 89 93 98 102 107 111 110 113 116 117 115 114 114 115 116 119 119 117 111 109 105 104 103 100 97 96 95 94
5 4 5 5 6 8 8 8 8 9 9 10 11 11 12 12 11 10 9 8 9 8 7 5 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 0 1 3 8 14 21 27 37 44 50 63 74 78 76 76 78 79 82 85 87 88 87 85 83 77 78 82 86 89 91 93 96 101 103 108 114 116 114 113 113 115 118 120 120 121 121 119 113 109 106 102 99 99 99 97
2 3 3 4 5 6 7 6 6 8 8 8 8 9 9 9 8 8 8 8 7 5 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 0 0 0 0 1 4 8 12 20 28 35 43 49 60 70 75 73 71 74 76 79 82 85 85 85 83 80 77 75 78 82 85 89 88 88 91 96 102 110 113 111 109 109 112 118 123 123 126 128 128 122 115 112 104 99 100 99 96
1 1 1 3 5 6 7 7 6 7 6 6 6 7 7 7 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 11 17 26 33 41 48 57 67 70 70 69 70 73 77 80 82 83 83 81 78 75 73 74 78 82 86 86 84 84 87 95 104 110 110 106 103 104 115 119 126 131 133 133 130 125 121 113 106 104 103 101
0 0 0 2 3 5 6 6 6 6 5 5 5 5 5 4 3 2 2 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 1 3 7 12 18 24 31 39 45 54 62 67 69 69 69 71 74 77 79 81 81 78 74 73 74 75 78 79 81 84 84 81 80 85 95 106 112 107 101 104 108 115 123 128 130 129 130 133 129 124 116 113 112 111
0 0 0 1 2 4 4 4 4 3 3 3 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 1 4 7 11 17 24 29 38 43 51 58 63 65 66 66 66 68 72 76 78 77 74 72 70 72 75 77 76 76 79 81 80 77 78 84 96 110 109 104 101 103 108 115 120 121 120 122 130 130 129 124 122 123 125
0 0 0 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 14 24 29 37 43 48 54 59 62 62 62 61 63 66 71 74 72 69 68 67 70 74 76 75 75 77 78 77 74 72 74 83 99 104 102 99 101 103 106 109 112 114 118 127 130 130 126 123 122 121
0 0 0 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 0 0 0 0 0 0 2 6 11 13 21 28 35 41 46 50 56 58 59 59 59 59 61 65 67 66 65 64 65 69 73 76 75 74 74 73 72 70 70 68 72 83 96 105 108 105 100 99 101 106 109 115 123 129 132 134 133 129 116
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 0 1 2 3 6 10 13 18 25 32 39 43 47 52 55 57 57 57 56 57 59 61 62 62 63 65 68 72 75 75 73 71 69 70 69 68 66 66 72 84 101 114 113 108 103 102 103 105 108 115 123 131 140 150 146 134
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 10 14 17 23 29 35 41 44 49 53 55 56 55 55 55 56 58 59 59 63 65 68 71 73 73 72 68 66 67 67 66 65 66 68 75 86 103 114 119 115 110 107 106 108 111 113 117 126 142 150 148
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 16 20 26 32 38 42 46 50 52 55 55 54 54 55 55 57 59 62 64 66 68 69 71 70 64 62 64 64 64 65 66 68 72 77 86 98 115 120 120 117 115 113 109 107 109 115 126 139 151
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 16 18 23 29 35 40 44 46 48 51 53 53 53 55 54 56 59 62 64 65 65 65 67 66 62 62 61 60 62 64 65 66 70 74 78 82 97 109 118 125 126 120 113 111 112 113 116 126 142
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 15 18 21 25 32 36 41 44 45 46 49 52 53 55 55 57 58 60 62 63 63 62 62 62 63 63 61 60 61 61 61 62 65 68 74 78 84 93 103 117 127 126 124 123 121 117 115 117 127
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 18 20 23 29 33 37 41 42 43 45 49 52 54 55 58 58 57 59 60 60 58 58 59 60 61 61 60 60 59 59 58 59 62 66 71 77 82 87 94 106 117 125 130 129 124 119 115 117
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 19 22 26 29 32 36 40 41 42 44 47 49 51 56 60 59 58 59 56 55 54 55 56 57 58 59 59 58 57 56 55 57 60 63 68 75 79 82 87 95 106 118 126 127 128 125 122
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 13 17 21 23 25 29 32 37 40 41 42 42 44 47 50 54 57 60 59 54 51 51 52 52 53 55 56 58 57 56 55 54 53 55 57 60 65 70 74 79 83 89 99 109 118 130 138 137
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 19 21 22 25 29 33 35 39 41 40 41 43 45 47 52 57 58 53 50 48 48 49 49 51 53 55 55 55 55 54 54 54 54 55 58 62 66 71 76 81 87 93 102 117 131 136
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