Vorticity
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nan 9 9 8 8 9 10 9 7 6 7 8 8 8 8 8 8 8 7 6 7 8 9 9 8 7 7 6 7 8 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 9 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 6 6 5 5 5 6 6 7 7 8 8 8 9 9 10 10 10 9 7 4 1 -1 0 2 4 5 5 5 6 7 8 9 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 nan
nan 8 9 9 9 10 10 8 6 5 6 7 8 8 8 9 9 8 7 7 7 8 9 9 9 8 7 6 6 7 9 9 9 9 8 8 8 8 7 7 6 7 7 8 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 8 8 7 7 7 8 8 8 7 6 6 6 6 5 5 6 6 6 7 7 7 7 7 7 8 9 9 10 9 9 9 8 4 1 0 0 1 2 1 1 2 4 7 9 9 9 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 nan
nan 9 9 10 10 11 10 6 4 4 5 6 7 8 8 9 9 9 8 7 6 7 8 9 9 9 8 7 6 7 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 7 6 6 6 6 6 6 6 7 8 8 8 7 7 6 6 7 7 8 8 8 9 10 10 10 8 6 4 2 2 1 0 -1 -1 0 4 7 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 10 10 10 11 10 6 3 4 5 6 7 7 8 8 9 9 9 7 6 6 7 8 9 10 10 8 6 7 8 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 7 8 8 7 6 6 6 6 6 6 7 8 8 8 8 8 7 6 6 7 7 8 8 8 9 9 9 10 9 9 7 5 4 4 3 1 -1 -2 1 5 7 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 9 10 11 10 6 3 4 6 6 6 6 7 8 9 9 9 8 7 7 7 8 10 11 10 8 7 7 8 9 9 9 10 10 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 9 10 11 10 10 9 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 7 7 6 7 7 8 8 8 8 9 9 8 8 8 8 8 7 7 6 6 4 1 -1 -1 1 4 6 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 7 8 9 10 11 9 6 4 5 6 7 6 6 7 8 8 8 7 7 8 8 8 8 8 10 9 8 6 7 7 8 7 8 8 8 8 9 9 9 9 8 7 7 7 7 8 8 8 8 8 9 9 10 11 11 11 11 10 9 9 9 9 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 7 6 6 7 7 8 7 7 7 6 4 2 0 0 1 3 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 nan
nan 8 10 11 11 10 8 5 4 5 6 7 7 7 7 8 8 7 7 7 8 8 8 7 7 7 7 7 6 7 7 6 6 5 6 7 8 8 9 9 9 8 7 6 6 6 7 8 8 8 8 8 9 10 11 12 12 12 11 11 10 10 9 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 7 7 7 7 6 5 6 6 7 8 7 7 7 7 6 5 3 1 1 2 4 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 nan
nan 9 11 12 11 9 7 6 5 5 7 8 9 8 7 8 8 8 9 9 9 8 7 7 7 6 6 6 7 8 8 7 6 5 4 6 7 8 9 9 9 9 8 6 5 5 6 7 7 7 7 8 8 9 10 11 12 13 12 12 11 10 8 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 6 7 7 7 6 6 5 5 6 6 7 7 8 7 8 8 7 7 6 4 3 2 3 4 6 7 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 8 8 8 8 nan
nan 9 11 11 10 8 7 7 6 6 7 9 9 8 8 9 10 10 11 12 9 7 7 7 7 6 6 7 8 9 10 9 8 5 4 5 7 8 8 9 9 8 7 6 4 4 5 6 6 6 6 6 7 8 9 10 11 12 13 12 11 10 8 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 9 8 7 6 6 6 6 7 8 7 6 5 5 5 6 6 7 7 8 8 8 8 9 9 8 7 6 5 4 4 5 6 7 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 nan
nan 8 9 9 9 8 8 8 7 6 6 8 9 9 10 11 12 12 12 11 9 8 8 8 7 7 7 7 7 8 10 11 9 6 4 5 7 7 8 8 8 8 6 5 4 4 5 5 6 5 5 5 6 7 8 9 11 12 12 12 11 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 6 5 5 6 6 6 6 6 5 6 6 6 6 6 7 8 9 9 9 9 10 10 9 9 8 7 6 5 6 7 8 8 8 8 8 9 10 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 nan
nan 7 7 8 8 8 9 9 7 6 6 7 8 9 10 12 13 13 11 10 9 9 8 7 7 7 6 5 5 6 9 11 10 7 6 7 7 8 8 8 8 7 5 5 4 5 5 6 7 6 5 5 5 5 5 7 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 9 10 11 10 9 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 9 9 9 10 10 10 10 9 8 8 7 7 7 7 7 7 6 7 9 10 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 nan
nan 6 6 7 7 8 9 9 8 6 6 7 8 9 10 12 12 12 11 9 9 9 8 7 6 6 5 4 4 5 7 9 10 9 8 8 9 9 9 9 9 7 5 4 5 6 7 8 8 7 7 6 5 3 3 4 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 10 11 11 10 8 6 5 5 5 5 5 4 4 5 6 6 6 6 7 7 7 8 7 8 8 9 10 10 11 10 10 9 9 9 9 8 8 7 6 5 6 8 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 nan
nan 6 5 5 7 8 9 9 8 7 6 6 8 9 10 10 11 10 10 9 9 9 8 7 6 5 4 3 4 5 6 8 9 9 9 9 10 10 10 9 8 6 4 3 5 6 8 9 9 9 8 7 5 4 3 3 4 5 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 11 12 11 9 6 4 4 5 5 6 5 5 5 5 5 5 5 6 6 7 7 7 7 7 8 9 9 10 10 10 10 9 9 9 9 9 8 7 5 5 6 8 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 7 nan
nan 5 4 4 6 7 9 9 9 8 6 6 7 8 8 8 9 8 9 9 9 9 8 7 7 5 4 4 4 5 6 6 7 8 8 9 9 10 10 9 8 6 3 3 4 6 8 8 8 8 8 7 6 5 5 5 5 5 6 6 6 5 5 5 5 6 8 8 8 9 9 9 9 9 9 10 11 11 9 8 6 4 4 5 6 6 6 6 6 6 5 5 5 5 6 6 6 6 7 7 8 8 9 9 10 10 10 9 9 9 9 8 8 6 4 4 5 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 nan
nan 5 4 3 4 6 7 9 10 9 7 5 6 6 7 8 8 8 9 10 9 8 8 7 6 6 5 5 5 5 5 5 6 6 7 7 8 8 9 9 8 7 5 4 5 6 7 7 7 6 7 8 8 8 8 7 5 5 6 8 8 7 5 4 4 5 7 8 8 8 9 9 9 9 10 10 9 9 8 7 6 5 5 5 6 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 9 9 9 9 10 10 10 9 8 8 7 6 5 3 3 4 5 4 4 5 5 5 6 6 7 7 7 7 7 7 7 7 7 nan
nan 5 4 2 3 5 8 9 10 9 7 5 4 5 6 8 9 10 10 10 9 9 8 7 6 6 6 5 4 4 5 5 4 4 5 6 7 7 8 9 8 8 7 6 6 7 7 7 6 6 6 7 8 9 9 8 6 6 7 9 11 10 8 5 4 5 7 9 9 8 8 8 9 9 9 9 9 8 8 8 6 5 4 5 6 7 7 6 6 6 7 7 7 7 6 6 6 6 7 8 8 8 8 9 9 9 9 9 9 8 7 6 5 4 3 3 4 3 3 3 3 4 4 5 5 6 6 7 7 7 7 7 7 7 nan
nan 6 4 2 3 6 9 10 10 9 7 5 3 4 6 8 9 10 10 10 10 9 9 8 7 7 6 5 4 4 5 6 4 3 4 5 7 8 8 8 9 9 9 9 8 8 7 6 6 6 7 7 8 9 10 8 7 6 7 11 13 12 10 7 6 6 8 9 8 7 7 7 8 8 8 9 9 9 9 8 5 4 4 5 6 6 7 7 6 6 7 7 7 6 6 5 6 6 7 7 8 8 8 8 8 8 8 8 7 7 6 6 5 4 4 4 4 4 3 3 3 3 3 4 5 6 6 7 7 7 7 7 7 7 nan
nan 7 4 3 5 7 9 9 9 8 7 5 3 4 6 8 9 9 10 11 11 10 9 9 9 8 7 6 5 5 7 6 4 2 3 5 7 8 8 7 8 9 11 11 10 9 8 7 6 7 8 8 8 8 8 8 7 6 8 12 13 12 10 8 7 7 8 8 7 6 6 7 8 8 8 9 10 10 9 7 4 4 4 6 6 7 7 7 6 6 6 7 6 6 6 5 6 6 7 7 8 8 8 8 8 7 6 6 6 6 5 5 5 5 6 6 5 5 5 5 4 2 2 3 5 6 7 7 7 7 7 7 7 7 nan
nan 8 6 5 6 7 8 8 8 7 5 4 4 5 7 8 9 10 11 12 12 11 9 9 9 8 7 6 6 6 7 6 4 3 3 6 8 8 7 6 7 8 10 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 11 13 13 11 9 8 8 8 8 7 6 6 7 8 8 8 8 8 9 9 8 6 5 5 6 6 6 7 7 7 6 5 6 6 7 6 6 6 6 6 7 8 8 8 8 8 7 6 5 4 4 5 5 5 5 6 7 7 7 6 6 6 5 3 1 2 5 7 7 7 7 7 7 7 7 7 nan
nan 9 8 7 6 6 7 8 8 6 4 3 4 6 7 8 9 10 12 13 13 11 9 9 8 8 7 6 6 6 7 7 5 4 5 7 8 7 5 5 6 7 9 9 10 10 11 11 12 11 10 10 10 10 10 10 11 12 14 14 12 10 8 8 8 8 7 7 6 6 8 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 7 6 5 5 6 7 7 7 6 6 6 6 8 8 8 8 8 8 7 5 4 4 3 4 5 5 4 5 6 7 7 6 6 6 5 2 0 1 5 7 7 8 7 7 7 7 7 8 nan
nan 10 9 8 7 6 6 7 8 6 3 2 4 6 8 8 8 10 11 13 13 11 10 9 7 7 6 6 6 6 8 8 7 6 7 8 7 6 5 5 5 6 7 8 9 9 10 12 13 13 12 12 12 12 12 13 14 15 15 14 11 9 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 7 6 5 6 6 5 4 5 6 6 7 7 6 5 5 6 7 8 8 8 8 7 6 5 4 3 3 4 4 5 4 4 5 6 6 5 5 5 4 2 0 2 5 7 7 7 7 7 7 7 7 8 nan
nan 11 10 10 9 7 7 7 7 6 3 2 3 6 8 9 9 9 10 11 10 10 10 9 7 6 6 6 7 7 9 9 8 7 8 7 6 5 5 5 4 5 6 7 7 8 9 10 11 12 13 13 13 14 15 15 16 17 16 14 11 9 9 10 10 9 8 8 7 7 7 7 7 8 9 9 8 7 7 7 8 9 7 6 6 6 5 5 5 5 5 6 6 6 5 5 5 6 7 7 7 8 8 7 6 4 3 2 3 3 4 4 4 4 4 5 4 4 4 4 4 3 3 5 6 7 7 7 7 7 7 7 7 8 nan
nan 11 12 11 10 9 8 8 8 6 5 3 3 5 7 9 9 10 9 8 6 8 10 10 8 7 7 8 9 9 9 8 8 8 9 7 4 4 5 5 5 4 5 6 6 6 8 8 9 9 10 10 11 12 14 15 16 17 17 16 13 11 11 11 11 11 10 8 8 7 7 7 7 7 8 9 8 7 6 7 8 8 8 7 7 6 6 6 5 5 5 6 6 5 5 5 6 6 7 7 7 7 7 7 6 4 3 2 3 3 4 4 4 4 4 4 3 3 3 4 4 4 5 6 7 7 7 7 7 7 7 7 8 8 nan
nan 12 12 12 11 10 9 9 8 8 6 5 4 5 6 8 10 10 9 6 4 6 9 10 10 9 9 10 11 10 9 7 7 8 9 7 3 4 5 6 6 5 5 5 5 6 7 7 7 6 6 6 6 7 9 10 12 14 15 15 15 14 13 13 13 12 11 10 9 8 8 8 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 7 7 6 7 7 6 5 5 5 6 6 7 7 7 7 8 8 7 5 3 2 3 4 4 4 4 4 4 3 4 4 5 5 4 5 6 6 7 7 7 7 7 7 7 8 8 8 nan
nan 12 12 12 11 10 9 8 8 8 7 6 5 5 6 8 11 11 10 7 5 6 8 9 10 11 11 11 10 9 7 6 6 8 8 6 5 5 6 8 8 7 5 5 5 6 7 7 6 5 5 5 5 5 5 6 7 9 10 11 12 13 13 14 14 14 13 11 10 9 9 9 8 7 6 6 5 4 5 6 7 8 8 8 8 8 8 8 8 8 8 9 8 6 6 6 6 6 7 7 7 7 8 8 8 6 4 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 5 6 6 7 7 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
12 13 11 9 7 7 8 9 12 17 28 54 87 101 76 28 7 5 8 12 12 13 13 14 18 25 38 55 81 122 137 154 210 177 94 33 9 3 2 7 29 71 93 75 46 33 38 81 145 185 180 169 178 149 96 62 24 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 4 10 10 3 8 10 12 17 23 29 32 31 32 34 31 31 30 25 19 15 12 9 9 8 7 7 9 13 19 20 20 17 12 7 5 4 4 4 4 4 4 6 13 32 57 63 52 38 34 38 42 54 91 128 179 230 261 265 251 232 208 177 140
16 15 15 16 15 14 14 16 18 23 39 70 108 128 93 22 13 14 17 21 24 21 20 24 35 48 58 60 57 59 73 119 166 127 53 12 4 3 5 28 78 94 70 27 15 22 49 95 141 163 148 130 114 84 43 17 7 3 1 0 0 0 0 0 0 0 0 0 0 0 1 5 10 14 12 7 7 9 13 14 15 18 21 21 21 22 23 24 23 21 19 17 15 13 11 11 10 10 10 10 12 14 17 17 16 10 5 5 5 5 5 4 4 3 5 11 19 27 34 36 30 28 32 34 46 65 95 128 165 195 202 189 162 128 90
22 22 22 25 28 24 21 22 23 28 37 55 99 149 111 43 32 30 30 30 30 29 29 31 36 42 52 50 39 31 44 100 127 80 23 5 4 8 34 104 118 64 28 13 12 25 54 91 125 140 98 55 28 19 10 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 3 10 18 20 15 11 12 13 16 14 9 9 11 14 15 17 23 23 22 22 21 20 18 16 15 15 13 14 13 13 12 13 14 15 14 10 8 6 5 5 5 6 5 5 6 7 10 15 21 24 25 21 20 22 25 27 32 49 78 105 117 116 94 64 40
29 32 34 35 36 33 29 27 27 29 35 58 103 132 110 91 66 46 37 34 32 34 40 47 53 49 46 44 36 26 41 92 110 62 11 6 15 52 123 135 70 24 10 8 13 24 52 96 121 95 54 23 13 9 4 1 0 0 0 0 1 1 1 0 0 0 0 0 1 2 4 13 20 19 17 14 16 18 20 16 9 6 9 14 18 22 23 25 26 25 24 22 20 19 18 19 19 19 18 17 16 16 16 16 14 10 8 6 4 4 5 5 6 6 7 8 8 11 16 19 20 16 11 12 13 11 10 12 20 30 39 48 40 25 15
31 35 40 39 37 35 30 26 25 25 34 59 84 86 84 89 80 57 40 33 33 40 50 56 63 52 42 33 25 23 45 90 93 44 7 13 52 113 128 61 15 4 7 9 14 32 71 106 101 52 21 9 7 7 4 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 8 16 21 16 16 14 13 15 17 15 10 8 11 19 22 26 28 29 29 28 27 25 24 22 22 21 20 20 19 18 17 17 17 16 14 12 10 10 7 6 6 6 7 8 7 8 10 11 15 18 19 16 12 11 11 10 9 9 9 8 10 14 15 12 11
31 37 41 38 37 36 29 25 23 22 28 45 56 58 57 54 49 41 34 30 27 31 42 50 55 47 36 23 18 26 56 104 98 40 28 58 115 135 84 21 3 1 2 6 19 55 111 121 73 25 9 6 4 6 4 1 0 0 0 0 0 0 0 1 0 1 2 3 4 8 12 16 20 21 19 17 15 14 16 15 14 15 19 25 27 30 32 33 33 31 30 28 26 25 24 23 22 20 18 18 17 17 17 17 16 16 14 14 12 10 9 8 8 8 9 10 11 13 16 18 18 17 16 15 15 12 8 9 9 8 8 8 9 10 10
33 37 39 40 48 67 70 57 36 23 24 34 45 46 46 39 34 31 29 28 28 33 46 58 59 43 27 19 21 51 94 110 82 54 67 101 112 82 34 7 1 0 1 10 40 99 149 116 42 14 6 3 3 5 4 1 0 0 0 0 0 0 0 0 1 2 3 4 6 9 12 14 15 19 26 28 26 30 40 27 22 23 27 29 30 31 35 38 38 36 35 32 29 27 26 25 22 20 19 18 18 18 18 19 19 18 18 17 16 15 14 13 14 12 13 13 15 17 19 21 22 22 20 20 18 15 12 11 10 9 9 9 8 9 8
34 36 38 46 78 136 162 125 62 28 24 27 33 35 47 48 40 34 30 27 30 42 57 66 73 45 23 20 44 84 97 78 66 77 94 94 69 29 7 1 0 0 4 19 62 136 157 72 23 8 7 6 6 6 4 2 0 0 0 0 0 0 0 0 1 2 3 5 9 12 14 12 11 18 31 37 35 50 82 53 30 28 34 35 35 37 41 42 43 41 38 35 33 27 27 26 24 23 22 21 19 19 18 19 19 19 19 19 18 18 17 17 16 16 17 18 20 22 23 23 23 23 21 21 19 17 16 15 14 12 12 10 9 10 9
35 36 37 54 97 150 166 121 57 31 24 24 27 30 45 50 48 51 61 61 59 50 45 58 79 49 27 36 78 96 70 46 61 86 91 48 13 2 0 0 0 2 13 47 102 145 121 41 11 6 7 9 9 8 5 1 0 0 0 0 0 0 0 2 4 5 5 7 10 12 13 9 11 21 34 38 33 44 88 78 38 37 45 44 42 43 43 43 42 40 40 38 36 33 32 30 29 28 27 25 21 21 21 19 18 19 19 19 19 18 17 17 17 17 18 19 22 24 25 24 23 21 18 17 16 15 15 17 18 16 16 14 13 12 11
32 33 36 53 82 100 87 57 36 30 25 26 28 30 43 58 72 151 311 452 428 234 84 61 59 43 38 65 96 90 55 45 57 60 40 10 1 0 0 0 1 8 36 88 139 123 62 19 7 7 8 10 11 9 4 1 0 0 0 0 0 0 2 5 7 9 8 9 8 7 8 4 8 19 30 36 35 46 75 73 47 46 53 54 53 53 51 46 41 38 39 39 38 37 35 33 32 31 30 29 25 27 27 23 20 20 21 20 19 19 17 17 17 17 17 19 20 23 24 21 20 19 16 15 14 13 13 14 16 17 18 17 18 17 15
27 26 29 37 48 50 42 35 34 29 25 26 28 38 75 129 237 471 688 674 558 322 126 63 43 38 47 66 82 81 66 60 42 23 9 1 0 0 0 0 5 28 71 107 115 66 23 6 4 6 7 9 10 8 5 2 0 0 0 0 0 1 4 5 7 8 8 8 6 4 2 1 4 12 20 26 34 44 49 56 53 54 58 61 60 57 56 49 44 41 39 40 41 40 36 34 34 32 31 29 28 28 29 26 21 20 20 19 17 16 16 17 17 17 17 18 19 21 22 18 17 15 15 14 13 12 12 13 14 15 17 18 19 18 17
22 22 23 26 29 28 28 30 30 27 27 27 33 85 181 258 362 463 440 332 269 153 77 66 66 65 57 58 71 72 54 28 9 3 1 0 0 0 0 3 19 59 102 110 67 23 6 2 4 6 7 9 10 8 5 2 1 1 1 1 1 1 4 5 6 6 7 7 4 1 0 0 1 5 11 22 35 49 49 49 49 51 55 59 59 56 55 51 49 46 43 42 42 40 37 37 35 33 32 30 27 24 21 18 16 15 14 12 10 10 10 10 11 13 15 17 16 15 15 15 15 15 14 14 13 13 13 14 15 15 16 17 18 18 18
24 20 20 21 23 24 25 26 27 32 48 74 144 242 294 268 211 169 149 152 174 180 151 134 126 118 107 98 82 52 24 4 0 0 0 0 0 0 1 13 43 74 93 88 34 8 2 2 5 8 9 9 9 6 4 2 1 1 2 1 1 0 1 3 4 4 6 6 4 2 1 1 0 2 5 16 31 44 48 48 47 48 52 56 55 54 53 51 50 49 48 44 41 38 36 35 34 33 31 28 23 18 14 12 12 11 9 7 7 8 8 7 7 8 11 13 11 10 10 11 14 15 15 14 12 12 13 14 15 15 15 16 17 17 18
29 21 19 18 19 21 25 30 46 69 138 259 374 376 288 184 118 109 128 148 174 186 172 161 147 135 123 96 52 19 4 0 0 0 0 0 0 1 8 30 60 69 59 49 15 3 2 2 4 6 8 8 7 4 2 0 0 1 1 1 0 1 3 4 4 4 6 6 5 4 5 4 0 1 10 21 33 43 49 53 51 49 51 54 53 52 52 51 50 50 49 45 40 36 36 36 34 30 27 23 18 14 11 11 10 9 6 6 6 5 4 4 4 4 6 6 6 6 5 8 12 14 15 14 10 10 12 13 14 14 14 14 15 16 16
29 19 16 18 21 31 47 67 146 188 289 413 434 327 195 115 90 98 115 131 151 164 157 140 120 95 65 34 12 1 0 0 0 0 0 0 0 3 17 43 63 48 29 17 5 1 2 3 4 5 6 6 4 2 1 0 0 0 0 0 0 0 0 2 2 4 5 7 7 7 7 6 1 4 14 26 36 42 47 51 52 50 53 55 52 51 50 49 49 49 47 43 36 35 35 34 30 25 21 17 13 11 9 9 9 7 5 5 4 3 3 3 3 3 3 3 3 4 4 7 10 13 14 14 9 8 9 10 10 11 11 11 12 13 14
32 29 33 41 51 70 109 163 291 319 358 383 322 210 125 90 81 81 84 118 129 133 126 111 85 51 21 6 1 0 0 0 0 0 0 0 1 7 24 46 40 14 11 5 1 1 3 3 2 3 5 4 2 1 0 0 0 0 0 0 0 0 0 1 1 1 3 5 6 6 7 5 1 4 15 33 44 47 49 53 55 52 52 53 51 49 48 47 46 46 43 37 35 34 32 28 24 19 15 12 9 9 9 9 8 6 4 3 2 2 2 3 2 2 2 2 3 4 4 6 8 11 14 12 9 8 9 9 8 8 8 9 9 10 11
56 63 77 91 109 134 171 229 303 306 294 261 205 148 105 77 53 50 66 89 94 90 86 80 58 27 8 1 0 0 0 0 0 0 0 0 1 7 21 39 20 9 5 2 1 2 3 4 2 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 2 0 3 15 32 47 57 58 57 55 54 51 52 50 47 46 44 43 41 37 32 33 31 26 21 17 14 11 7 7 7 8 8 6 4 4 4 3 3 3 2 2 3 3 3 3 4 4 4 6 7 10 9 8 8 9 9 9 9 10 9 8 7 7
67 78 100 130 158 174 176 193 214 209 204 176 143 111 85 67 45 41 52 60 57 51 53 56 45 23 9 0 0 0 0 0 0 0 0 1 4 8 10 17 11 5 2 1 1 1 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 7 20 39 58 61 60 54 54 52 51 49 46 43 41 39 36 30 29 28 25 20 15 12 8 6 5 5 5 4 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 5 4 6 6 6 6 7 8 9 8 9 10 11 11 10 9 8
48 59 92 135 160 153 130 125 138 139 143 127 104 81 59 47 35 29 29 33 31 27 24 27 33 30 13 0 0 0 0 0 0 0 0 1 6 9 9 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 1 5 17 36 53 54 61 58 55 51 48 45 43 40 38 35 30 27 27 24 19 14 10 7 3 2 3 3 2 3 3 3 4 5 5 6 6 6 5 5 5 5 5 5 5 6 7 7 6 6 6 7 8 8 10 10 10 11 11 11 10 9
27 38 69 107 117 95 80 77 92 100 105 93 66 41 27 22 20 19 16 16 15 16 17 15 15 20 10 0 0 0 0 0 0 0 1 3 6 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 2 7 18 37 48 45 56 59 54 49 45 43 40 37 35 30 25 24 23 19 14 9 4 1 0 0 1 2 2 2 3 4 4 5 6 6 6 7 6 6 6 5 5 6 6 6 6 6 7 7 7 7 8 9 9 10 11 11 10 10 9 10
20 25 46 67 62 41 40 38 55 69 75 68 50 32 22 20 18 18 9 7 8 10 12 10 5 6 3 0 0 0 0 0 0 1 1 3 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 1 3 5 9 21 38 37 40 50 56 55 48 44 41 38 35 31 25 23 21 18 14 8 4 1 0 0 0 0 1 2 2 2 3 3 4 5 5 6 6 6 6 6 5 6 5 5 6 6 6 7 7 8 8 8 8 9 10 10 10 9 9 8 10
14 14 19 24 20 12 15 19 28 41 53 56 51 44 23 21 37 33 28 24 22 25 31 25 6 6 1 0 0 0 0 5 14 16 0 1 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 3 8 25 35 34 37 46 54 54 47 42 39 36 33 28 22 20 19 15 9 3 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 5 5 4 3 5 4 5 5 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 9
8 7 7 6 5 4 8 17 26 35 42 39 30 26 22 29 58 84 94 75 58 61 63 43 7 4 0 0 0 0 0 1 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 3 9 25 32 32 35 42 50 51 45 39 37 34 30 24 20 18 15 10 4 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 2 3 3 4 5 6 6 6 6 7 7 7 7 6 7 7 7 7 8 9 9 9 9 9
6 5 5 5 4 5 11 21 29 30 26 19 12 13 17 30 61 104 124 92 56 45 32 16 5 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 11 23 30 31 32 38 44 47 42 37 34 32 27 21 18 16 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 3 3 3 4 5 5 5 6 7 7 8 8 7 7 7 7 7 8 8 9 9 10 10
3 4 4 4 4 5 15 23 28 24 13 7 5 5 6 22 56 76 67 43 24 15 11 6 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 3 7 18 27 30 30 33 38 43 40 36 32 29 24 19 17 14 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 5 5 6 7 8 9 9 8 8 7 7 7 7 8 8 8 9 11 11
3 4 4 4 4 5 14 19 16 10 6 4 4 3 5 18 49 59 42 23 17 12 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 13 23 28 29 30 32 36 34 32 29 26 22 19 16 13 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 5 7 8 7 8 9 9 8 7 6 7 7 7 7 8 8 9 10 11
3 4 4 4 4 4 8 10 8 5 4 3 3 3 4 12 24 38 38 30 24 15 9 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 3 5 9 17 23 27 28 27 28 25 23 22 21 19 18 16 13 8 5 3 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 2 4 5 5 4 3 4 5 6 7 7 8 8 8 8 6 5 6 7 6 7 7 8 9 10 10
3 4 4 4 4 4 5 5 5 4 4 3 2 1 3 4 7 14 27 37 35 21 10 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 0 0 0 1 4 10 17 23 25 23 22 21 20 20 19 18 17 15 12 8 5 3 2 1 1 0 1 1 1 0 0 0 0 0 0 0 0 1 3 5 6 5 4 3 4 5 6 6 7 7 8 8 7 6 6 5 6 6 6 7 8 8 9 10
3 4 4 4 4 4 4 4 4 4 3 3 3 1 1 0 2 3 5 9 14 15 9 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 1 4 8 15 17 18 18 17 17 18 18 17 15 13 10 6 4 4 3 2 1 1 1 1 1 1 1 1 0 0 0 1 1 3 5 6 6 5 3 3 4 6 6 6 6 6 7 8 7 6 5 5 5 5 6 7 7 8 8 9
3 4 4 4 4 4 4 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 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 9 11 13 15 17 17 16 15 13 11 8 5 4 5 5 4 3 2 2 2 1 1 1 1 1 0 1 2 3 5 6 6 6 6 4 5 6 6 6 7 6 6 6 7 6 5 5 4 4 5 6 7 8 8 8 9
3 3 3 3 3 4 3 3 3 3 3 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 0 0 0 0 0 0 0 0 2 4 6 9 12 13 14 13 12 10 8 6 4 4 4 5 5 5 3 3 2 2 2 2 2 2 2 2 3 5 6 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 8 8 8 8
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