Vorticity
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nan 9 8 7 7 6 5 4 4 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 13 12 7 -1 -2 1 4 4 4 3 4 5 6 6 6 5 5 5 5 6 6 4 3 2 3 4 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 8 8 8 7 7 6 5 5 4 4 3 4 4 5 6 6 6 7 7 8 nan
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nan 7 7 6 7 8 10 10 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 8 8 7 7 6 6 7 9 9 9 8 7 7 7 7 7 7 6 6 6 5 6 7 7 6 4 3 4 5 7 8 8 7 6 6 6 6 5 5 5 6 7 7 7 8 9 10 10 9 8 7 3 -1 -4 -2 1 2 3 3 3 3 2 3 4 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 nan
nan 8 7 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 6 6 8 9 9 9 8 8 7 8 8 8 7 7 6 6 6 6 7 8 7 6 4 3 4 5 6 7 7 6 6 6 5 4 4 4 4 5 6 6 6 8 9 10 10 10 8 6 3 1 -1 -0 1 3 4 3 2 1 2 3 4 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 7 9 10 11 11 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 7 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 6 7 8 9 9 8 8 8 8 9 9 8 7 7 7 6 5 6 7 8 8 7 5 4 3 4 6 6 7 7 7 7 6 5 3 3 3 4 5 5 5 6 8 9 10 10 9 8 7 6 3 1 2 4 6 5 2 1 0 1 3 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 9 10 11 10 9 8 7 6 6 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 5 5 6 7 8 8 6 5 4 4 5 6 6 7 8 8 7 6 4 3 3 4 4 5 5 6 7 8 9 8 7 7 8 8 7 5 4 6 7 6 4 1 -1 -1 1 4 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 8 9 9 8 8 8 8 9 9 9 8 8 8 8 8 7 5 4 4 5 7 7 7 6 5 5 5 6 6 7 7 7 7 6 5 3 3 3 4 5 5 5 6 8 8 7 5 6 8 8 8 8 8 8 8 7 5 2 -2 -2 1 3 4 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 nan
nan 8 7 7 7 8 8 7 7 8 7 7 7 8 8 8 8 8 8 7 8 8 10 10 10 10 9 9 9 9 9 8 8 7 8 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 9 10 9 9 8 8 8 8 8 8 6 4 3 4 5 7 7 7 6 6 6 6 6 6 7 7 6 6 4 3 2 3 4 4 5 5 6 8 7 6 5 5 7 7 8 9 9 9 8 7 6 3 0 0 2 3 3 4 4 5 5 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 nan
nan 8 7 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 7 7 8 9 9 8 7 7 8 8 8 8 8 9 10 10 10 10 10 9 9 8 9 10 10 10 9 8 8 8 9 9 8 6 4 2 2 4 7 8 7 6 6 6 7 7 7 6 6 6 6 4 3 2 3 3 4 5 6 7 7 6 5 5 6 6 7 7 9 9 9 8 7 6 5 4 4 4 3 2 3 3 4 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 nan
nan 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 6 6 6 6 5 5 7 9 9 9 8 7 8 8 8 8 9 10 10 10 10 10 9 9 9 9 10 10 9 9 8 7 8 9 10 9 7 4 1 2 4 6 7 7 7 6 6 7 7 7 7 7 6 6 5 3 2 2 3 4 5 7 8 6 5 4 5 6 6 6 7 8 9 9 8 7 7 7 7 7 5 4 3 3 4 4 4 5 5 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 nan
nan 8 8 7 7 6 5 6 8 9 9 9 9 9 8 8 9 9 10 10 9 8 7 7 6 6 6 6 5 4 5 7 9 10 10 8 8 8 8 8 9 9 10 11 10 10 10 9 9 10 11 10 9 9 8 8 8 9 10 10 7 4 1 1 3 6 7 8 7 6 6 6 7 7 7 7 6 6 5 4 3 3 3 4 5 6 7 6 5 5 5 6 6 6 6 8 9 9 8 7 7 8 8 8 7 5 5 5 4 4 4 5 6 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 nan
nan 8 7 6 5 5 5 6 8 8 9 8 8 8 7 8 8 9 9 9 9 9 9 9 8 8 7 7 6 5 4 5 7 9 10 9 8 8 8 9 9 10 11 11 10 10 9 9 10 10 11 10 10 9 9 8 8 9 10 10 7 4 1 0 3 6 8 8 7 6 6 6 7 7 7 7 6 6 5 4 5 5 4 4 4 5 5 5 5 5 6 6 6 6 7 8 9 8 7 6 7 7 8 8 7 7 7 6 5 5 5 7 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 7 6 5 5 6 7 8 8 8 8 7 7 8 8 7 7 8 8 9 9 10 10 10 10 10 9 8 6 5 4 5 7 8 8 8 8 9 9 10 10 11 11 10 9 9 9 9 10 11 10 10 9 9 9 9 9 10 10 7 4 -0 -1 2 6 8 8 7 6 6 6 7 7 7 7 6 5 4 4 6 6 6 5 4 4 4 5 5 6 6 6 6 6 7 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 9 11 11 11 9 7 5 5 6 7 7 8 8 9 9 9 8 8 8 8 8 8 8 nan
nan 9 8 7 7 7 8 8 8 8 8 8 7 8 8 8 8 7 7 8 8 9 10 10 11 11 11 10 9 8 6 5 5 6 7 7 7 8 8 9 10 11 11 11 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 7 3 -1 -2 1 6 8 8 7 6 5 6 7 7 7 7 6 4 3 4 6 8 8 6 5 4 4 4 5 6 6 6 6 7 8 8 6 4 4 5 6 6 7 7 6 7 7 8 8 8 9 10 11 12 10 7 3 2 4 6 6 7 8 9 9 10 9 9 8 8 8 8 8 8 nan
nan 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 8 7 6 6 6 6 7 7 8 9 9 10 11 11 10 10 9 9 9 10 10 10 9 8 9 10 11 11 10 9 6 2 -2 -2 2 5 8 9 7 6 5 6 6 7 8 8 6 3 2 4 6 8 9 7 5 5 5 5 6 6 6 6 6 7 7 7 5 3 4 5 6 6 6 6 7 8 9 9 8 8 8 9 9 9 6 1 -3 -1 3 5 6 7 8 9 10 10 10 9 8 8 8 8 8 8 nan
nan 9 8 8 8 8 7 7 7 7 8 8 7 7 6 6 6 7 7 7 7 8 8 8 9 10 11 12 11 10 9 8 7 6 6 6 7 7 8 8 8 9 10 10 10 10 11 10 10 10 10 9 8 8 9 10 11 11 10 8 4 0 -2 -1 2 6 8 8 7 5 5 6 6 7 7 7 5 3 2 4 6 8 8 7 6 6 6 7 6 6 5 5 6 6 6 5 4 4 5 6 6 6 6 7 8 9 9 9 8 7 7 7 7 6 3 -3 -5 -1 3 6 6 7 8 10 11 11 11 10 9 8 8 8 8 8 nan
nan 9 8 8 8 8 7 7 7 8 8 8 7 6 5 4 4 5 6 7 7 7 7 8 8 9 10 11 11 11 10 9 8 7 7 6 6 7 8 8 7 7 8 9 10 11 11 11 10 10 9 8 8 8 9 10 10 10 8 6 2 -1 -1 1 4 7 8 8 6 5 5 6 7 7 7 6 5 4 4 4 5 7 8 8 7 7 7 7 7 6 6 5 6 6 5 5 5 6 6 6 7 7 7 8 9 9 9 8 7 7 7 7 6 5 1 -3 -2 3 6 7 7 7 8 10 12 12 11 10 9 8 8 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 4 5 5 6 7 7 7 7 7 8 8 9 10 10 10 10 10 9 7 7 7 7 8 8 7 7 7 8 9 10 11 12 11 10 9 9 9 9 9 10 10 9 7 4 1 -0 1 3 7 8 8 7 6 5 5 6 7 7 6 6 5 5 5 4 4 6 8 8 8 7 7 7 7 7 6 5 4 4 4 4 6 6 7 7 7 7 7 8 8 8 8 7 7 7 8 7 6 4 1 -0 4 9 11 10 8 8 9 11 12 13 12 11 9 8 7 7 7 7 nan
nan 8 8 8 8 9 10 10 10 9 9 8 8 7 7 6 6 5 5 5 6 6 6 6 6 7 8 8 9 9 10 11 11 10 8 7 7 8 8 8 8 7 7 7 8 9 10 11 12 11 10 10 9 9 9 9 9 8 6 4 2 2 3 7 9 10 9 7 5 4 5 6 7 7 7 6 6 5 4 4 4 6 8 9 8 7 7 7 7 6 6 4 3 3 4 5 6 7 7 7 7 7 7 8 8 8 7 7 7 8 8 7 6 5 4 7 11 14 14 11 10 10 10 11 12 12 12 11 9 8 7 7 7 7 nan
nan 8 8 8 9 10 11 10 10 9 8 8 8 8 7 7 7 6 5 5 5 6 6 6 6 6 7 8 8 8 9 10 11 10 8 8 7 8 9 9 9 8 7 7 8 9 9 10 11 11 11 11 10 10 9 9 8 7 6 5 4 5 7 9 11 11 9 6 5 5 5 6 7 8 8 7 5 4 4 5 6 8 8 8 8 7 6 6 6 7 6 5 4 5 6 7 7 7 7 7 7 7 7 8 8 8 7 8 8 8 7 7 7 7 9 12 15 15 13 11 11 11 11 11 11 11 11 10 9 8 7 7 6 7 nan
nan 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 6 6 6 7 7 7 7 8 9 9 8 7 7 8 9 9 9 8 7 7 8 8 8 8 9 10 11 11 11 11 10 9 8 7 6 5 5 7 9 11 11 9 7 6 5 6 6 6 7 8 8 6 4 3 4 6 8 8 7 6 7 7 5 5 7 8 8 7 6 6 6 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 11 12 11 11 11 11 10 9 9 9 10 10 10 9 8 7 7 7 7 nan
nan 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 7 6 6 5 5 6 7 8 8 7 7 7 8 9 9 8 7 6 7 7 7 7 8 9 10 10 10 10 10 9 8 7 7 5 6 8 11 11 9 7 6 6 7 8 7 7 7 7 6 5 4 4 5 7 7 5 4 5 7 6 5 5 8 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 8 8 9 9 8 8 8 9 8 7 6 5 6 8 9 9 9 8 8 7 7 7 nan
nan 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 6 5 5 6 7 8 8 7 8 8 8 9 8 8 7 7 6 6 7 7 7 7 7 8 8 8 8 7 7 6 6 7 9 11 10 8 7 7 8 9 9 8 7 7 6 6 5 4 5 6 6 5 3 3 6 7 6 5 6 7 8 7 7 6 6 7 8 9 9 8 8 8 9 8 8 8 9 9 9 9 11 11 10 8 8 7 7 7 6 5 5 3 2 -0 1 4 7 8 9 9 9 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 9 9 9 9 8 8 7 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 9 10 10 9 8 8 8 9 9 8 8 7 6 6 5 5 6 6 5 4 4 5 7 8 7 6 6 6 7 7 7 7 7 8 9 10 8 8 9 9 9 9 9 9 9 9 9 10 12 12 10 8 7 7 7 6 3 1 -0 -1 -3 -5 -1 4 7 9 10 10 10 9 9 9 8 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 7 6 5 6 7 8 8 8 9 9 8 7 7 6 6 7 8 8 8 8 9 10 10 9 9 8 7 6 7 8 8 8 7 7 6 5 5 5 5 5 5 7 8 9 9 9 8 8 9 8 8 8 8 7 6 6 6 7 7 6 5 6 8 9 9 9 8 7 6 7 8 8 7 7 8 9 9 7 8 9 10 9 9 9 9 9 9 10 12 12 11 9 7 6 7 7 5 2 1 0 0 -1 -1 3 6 8 10 10 10 10 10 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 9 9 10 9 8 8 9 9 9 8 7 7 6 7 7 8 9 10 10 10 9 9 8 7 6 7 7 7 7 7 8 9 9 9 9 8 7 7 8 9 10 10 9 9 8 7 7 7 6 4 3 4 5 7 8 8 8 8 8 7 8 8 8 8 7 6 6 7 7 7 7 8 9 10 10 9 8 7 7 8 8 8 7 7 8 8 7 7 8 9 10 10 10 9 8 8 9 11 12 10 8 6 5 6 6 6 5 5 6 8 7 6 6 7 7 8 9 10 10 10 10 10 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 8 7 6 6 6 6 6 6 7 8 8 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 7 5 4 5 6 7 8 8 8 8 7 7 7 8 8 6 6 6 6 7 7 8 8 9 10 9 9 7 7 9 10 9 7 7 7 8 7 8 8 9 9 10 10 10 9 8 9 10 11 9 7 6 5 6 6 6 6 6 9 11 13 11 8 6 5 6 7 9 10 10 10 10 10 9 9 nan
nan 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 8 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 11 10 8 7 7 6 7 7 8 8 7 7 7 7 6 5 5 5 6 6 7 8 9 9 9 8 8 7 9 10 10 9 7 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 9 7 6 7 8 9 8 8 9 9 10 12 11 8 4 2 2 4 7 8 9 9 10 10 10 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
278 273 266 263 252 247 244 230 200 172 144 108 73 48 33 19 15 16 20 40 26 31 57 72 73 81 102 120 139 159 190 218 196 220 217 174 137 114 92 82 95 109 119 126 123 121 113 105 99 89 74 58 53 59 64 78 88 113 174 260 283 237 214 173 165 122 91 93 58 34 29 15 0 1 0 0 0 0 0 0 0 0 0 2 12 36 67 98 136 182 201 229 243 248 234 209 186 168 141 92 51 34 20 11 9 8 7 10 18 36 79 154 248 341 415 433 402 363 323 274 219 187 175 150 116 91 66 40 22 26 124 272 286 218 124
305 307 298 300 296 284 270 240 208 177 144 109 83 67 53 38 18 29 45 61 65 75 87 89 85 95 122 137 169 201 246 278 275 298 286 221 154 117 92 72 92 113 109 108 106 103 96 89 86 85 79 73 63 81 73 85 89 97 184 320 356 276 248 211 166 129 103 87 63 36 34 35 18 10 3 0 0 0 0 0 0 0 1 4 14 36 72 101 124 161 186 223 245 247 247 253 260 250 235 183 133 99 68 37 17 12 12 15 25 37 57 105 175 274 372 435 462 457 433 411 359 288 242 214 172 127 92 61 34 20 39 107 155 164 159
320 313 328 338 336 313 278 244 211 179 148 119 95 81 71 57 55 71 86 80 77 89 107 112 109 117 138 155 205 252 303 328 328 322 288 223 159 108 74 75 95 107 102 98 95 89 82 80 82 87 78 77 79 100 90 87 85 90 147 235 256 199 173 152 122 106 88 68 58 44 40 47 36 24 13 5 2 2 2 2 3 2 1 5 14 34 78 108 133 170 201 242 283 305 303 307 332 295 295 261 214 175 139 88 45 36 32 31 39 43 44 75 124 208 321 445 554 612 597 578 568 463 389 345 273 210 169 125 81 46 22 37 55 65 69
351 338 364 389 373 328 282 249 212 180 156 131 106 91 85 79 89 102 106 95 87 110 138 138 136 158 180 205 262 322 369 375 348 309 262 219 192 140 71 78 111 106 90 91 92 82 77 82 90 97 92 92 84 97 104 104 94 94 124 157 151 117 93 67 45 33 36 41 48 50 49 50 45 39 20 16 11 10 9 7 5 3 1 5 16 40 75 119 162 204 245 292 345 382 398 405 390 368 356 331 276 221 185 154 124 101 79 68 70 51 39 43 75 150 265 424 619 768 821 817 751 677 621 524 410 331 292 244 176 117 55 40 31 29 26
386 382 423 479 423 345 284 250 214 182 162 139 117 103 98 103 115 122 118 122 131 162 195 188 200 229 249 294 343 386 413 393 334 270 217 175 162 159 133 139 145 130 101 101 108 103 102 101 104 114 110 99 98 124 141 145 134 129 153 145 95 59 53 40 38 32 27 33 41 44 49 43 37 28 18 19 17 15 12 8 4 1 1 6 21 45 88 144 203 262 316 363 409 444 476 507 508 500 454 421 366 292 248 239 227 200 169 152 128 91 67 63 80 121 197 332 568 774 912 957 910 841 763 663 563 484 436 391 305 232 145 90 53 31 20
452 457 538 637 495 364 283 244 211 176 151 135 123 115 121 135 146 150 152 176 199 231 272 277 307 321 333 370 404 419 422 375 298 250 235 229 227 218 226 224 218 190 159 158 178 193 192 188 180 182 175 147 151 182 196 200 215 231 232 185 97 64 56 50 49 47 45 45 43 44 50 36 39 43 37 26 17 11 7 3 1 0 2 12 34 66 123 192 268 344 414 473 532 581 604 622 638 648 588 530 459 362 327 310 307 290 276 263 233 198 151 109 106 131 187 278 446 636 841 957 963 917 871 810 734 654 597 541 458 371 277 191 123 70 35
558 526 644 751 556 383 288 240 202 163 139 132 129 131 151 168 156 170 202 226 249 286 324 359 382 391 390 403 414 402 379 334 285 274 296 323 327 317 335 326 314 305 307 318 325 318 312 312 316 306 313 281 276 272 266 295 340 335 277 201 88 62 58 55 52 51 53 55 58 64 74 51 47 44 29 14 6 2 0 0 0 0 3 20 55 109 177 258 345 433 528 625 703 754 755 764 785 781 748 691 595 514 496 365 348 346 360 365 355 335 280 194 175 184 223 290 385 527 702 809 845 870 877 867 846 792 756 703 622 533 429 324 236 162 95
725 740 849 742 534 373 287 240 199 162 145 142 139 165 176 181 210 220 231 254 287 336 377 397 403 399 404 402 391 371 347 321 309 326 366 366 388 394 416 407 408 423 441 451 440 408 400 383 361 349 351 334 310 293 286 308 323 222 140 110 70 70 76 83 84 69 48 40 54 59 66 53 41 19 3 0 0 0 0 0 0 0 5 29 68 133 219 317 422 529 667 794 878 917 922 923 916 907 908 878 754 731 723 601 527 489 484 483 491 494 410 306 266 265 277 325 388 483 607 711 767 804 834 848 876 857 843 823 783 714 610 490 382 295 219
821 824 812 632 461 355 286 232 191 166 158 156 173 198 193 193 209 228 248 273 311 360 382 388 400 388 392 386 377 374 375 380 390 402 439 439 424 420 419 436 451 453 453 456 451 427 398 366 333 297 272 256 246 238 234 234 230 86 26 23 44 83 92 69 41 15 1 3 19 31 46 45 33 13 0 0 0 0 0 0 0 0 3 34 88 161 257 374 502 655 844 937 1016 1062 1076 1081 1072 1045 1046 1055 929 959 940 873 820 756 690 643 633 656 548 397 329 320 321 350 387 445 541 659 767 816 842 865 872 871 890 911 919 890 795 676 555 468 396
871 828 717 550 418 331 263 211 184 179 183 191 212 218 220 230 242 264 287 304 334 372 375 362 372 373 375 379 386 398 416 435 447 439 421 426 420 408 402 402 402 401 404 412 411 383 339 299 260 226 199 183 174 173 180 180 163 71 23 7 14 24 16 3 1 0 1 4 10 25 37 29 16 7 1 0 0 0 0 0 0 0 6 37 98 184 298 442 613 804 1002 1068 1109 1132 1160 1187 1167 1106 1125 1184 1121 1117 1112 1110 1109 1038 893 783 758 773 641 520 452 423 392 377 389 432 510 618 765 813 845 870 887 918 977 1041 1063 1031 960 861 754 655 561
828 752 618 476 377 305 247 211 199 214 237 251 250 249 263 285 285 290 319 337 341 349 357 358 358 356 370 389 402 411 424 446 438 422 406 395 389 389 383 373 363 355 357 367 368 340 301 260 216 190 168 137 122 129 129 146 117 57 36 21 13 9 3 1 1 3 6 7 8 15 16 9 3 1 0 0 0 0 0 0 0 0 10 49 128 243 397 559 759 944 1085 1140 1170 1199 1203 1200 1258 1221 1245 1286 1270 1266 1270 1268 1261 1210 1067 947 913 926 854 771 695 607 527 499 494 508 562 636 761 827 873 925 980 1042 1106 1159 1174 1154 1097 1023 930 824 718
649 572 477 375 322 286 247 230 240 277 316 338 344 318 311 328 344 353 361 356 348 353 362 361 364 363 382 407 424 431 430 436 420 409 405 402 395 382 369 359 345 319 303 302 297 278 255 223 174 139 128 118 100 105 106 102 79 65 56 36 24 23 12 3 1 5 11 7 3 5 4 2 1 0 0 0 0 0 0 0 0 1 16 71 190 339 566 752 923 1064 1146 1193 1238 1279 1293 1304 1388 1394 1398 1389 1360 1381 1372 1293 1254 1260 1227 1156 1088 1085 1062 1015 934 861 833 809 709 627 624 643 688 795 899 977 1039 1110 1181 1239 1268 1256 1195 1118 1035 951 863
547 459 374 318 305 300 291 298 325 359 357 343 371 348 340 349 352 348 348 352 363 385 381 366 369 380 403 436 460 459 444 431 415 402 398 399 388 365 337 312 284 246 216 208 191 175 174 163 138 126 135 127 102 90 95 91 72 84 82 57 42 46 43 15 3 3 4 3 2 2 2 1 0 0 0 0 0 0 0 0 1 10 46 137 274 484 752 939 1064 1159 1258 1327 1341 1390 1438 1464 1473 1478 1464 1419 1388 1415 1419 1322 1238 1229 1261 1276 1213 1176 1176 1210 1304 1392 1323 1106 894 712 645 699 799 878 936 1008 1084 1155 1209 1278 1305 1290 1240 1167 1091 1024 956
567 483 424 389 376 394 427 428 398 397 336 322 357 365 358 348 342 348 362 364 380 344 345 371 390 414 448 480 490 472 440 419 403 392 390 386 366 320 261 211 175 146 136 139 125 111 111 112 104 96 92 91 85 70 80 96 87 92 92 76 64 59 68 40 9 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 4 25 89 199 370 651 911 1058 1150 1225 1304 1365 1372 1406 1424 1430 1464 1496 1502 1486 1472 1483 1495 1461 1356 1292 1345 1345 1274 1226 1274 1356 1340 1327 1217 1167 1061 943 894 959 1048 1071 1097 1166 1233 1286 1298 1330 1347 1335 1297 1242 1171 1088 1022
412 407 430 422 405 429 481 481 402 375 356 362 367 351 336 345 357 357 394 364 388 375 393 417 444 475 503 516 504 463 420 397 384 370 350 321 278 220 161 118 96 87 91 93 89 85 81 77 74 72 66 61 63 49 43 58 73 77 71 61 53 54 53 33 13 3 1 0 0 1 1 0 0 0 0 1 0 0 0 2 13 53 152 292 506 778 980 1083 1158 1224 1270 1311 1343 1391 1442 1446 1495 1552 1600 1628 1637 1642 1658 1681 1537 1444 1405 1349 1299 1315 1369 1333 1115 1085 1151 1214 1168 1141 1177 1249 1310 1340 1392 1387 1323 1299 1316 1355 1379 1377 1356 1324 1275 1214 1142
147 150 165 199 232 260 295 301 329 337 373 403 396 363 345 362 380 359 348 351 365 395 439 484 524 552 561 544 501 433 393 362 344 315 269 207 143 98 72 54 41 46 48 45 45 45 42 43 45 45 42 39 41 36 30 33 45 49 37 28 30 31 29 19 9 4 2 1 0 1 0 0 0 0 0 1 0 0 0 4 24 85 193 343 588 809 931 1007 1083 1150 1201 1244 1292 1340 1435 1468 1513 1587 1660 1718 1760 1761 1787 1792 1709 1609 1487 1352 1300 1371 1377 1243 1023 941 1004 1141 1201 1288 1456 1541 1521 1568 1559 1451 1338 1291 1311 1350 1379 1392 1378 1348 1317 1278 1248
21 26 30 36 50 71 86 74 118 156 226 277 261 289 352 354 323 313 309 319 366 440 515 578 623 634 600 533 451 375 332 295 261 216 160 95 44 21 12 13 7 8 10 13 14 15 15 16 19 19 22 21 22 22 20 20 26 29 16 10 13 12 10 7 4 3 2 1 1 0 0 0 0 0 0 0 0 0 1 4 28 109 197 365 610 761 829 894 972 1056 1111 1156 1202 1238 1296 1351 1420 1511 1601 1654 1702 1714 1764 1816 1781 1669 1505 1357 1277 1285 1240 1097 948 823 846 1025 1198 1311 1391 1418 1512 1535 1480 1472 1487 1498 1496 1482 1444 1402 1360 1345 1366 1379 1360
0 2 1 0 2 7 10 7 9 35 74 124 191 245 260 260 236 231 248 292 376 483 579 649 684 659 559 434 342 281 237 203 162 111 62 26 5 0 0 0 0 0 1 2 3 3 3 3 4 5 7 6 7 8 7 7 9 10 5 5 6 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 5 30 133 216 317 455 590 691 771 846 947 1007 1045 1079 1092 1107 1155 1229 1303 1368 1398 1440 1477 1530 1593 1604 1515 1385 1290 1200 1133 1002 843 798 800 865 1005 1152 1245 1360 1423 1413 1427 1492 1619 1719 1737 1750 1765 1552 1397 1299 1328 1413 1462 1432
1 1 1 1 1 1 1 2 6 19 30 50 97 160 217 240 230 208 202 269 372 483 554 586 588 535 416 290 215 177 145 112 71 32 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 57 144 204 245 306 402 518 624 692 794 869 902 899 890 907 948 988 1016 1030 1040 1074 1122 1184 1260 1281 1229 1184 1111 1022 968 830 791 824 858 901 986 1146 1107 1321 1421 1390 1360 1444 1557 1573 1544 1481 1401 1362 1291 1230 1292 1384 1414 1384
2 2 2 2 2 2 2 2 2 6 23 44 70 118 191 253 277 278 255 264 332 386 390 375 366 328 250 166 118 95 69 39 14 2 0 0 0 0 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 1 4 20 68 116 140 150 169 216 312 422 509 608 681 716 725 725 741 784 796 774 755 754 791 832 880 946 995 991 974 849 811 807 733 688 715 784 853 924 1094 1038 1149 1217 1211 1163 1208 1246 1235 1249 1231 1162 1182 1193 1213 1271 1329 1345 1328
2 2 2 2 2 2 3 2 1 2 20 54 88 107 137 239 309 321 264 227 235 243 230 215 211 190 145 94 62 40 21 7 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 2 2 7 18 38 65 79 73 82 113 168 243 323 405 460 495 534 575 605 648 670 653 651 661 709 742 738 754 741 665 701 583 569 593 575 523 513 620 787 926 1021 1069 1133 1122 925 821 962 934 940 1013 1094 1158 1145 1123 1152 1208 1245 1260 1268
4 3 3 3 3 3 2 2 2 4 17 47 90 123 135 190 230 268 223 155 119 110 110 124 143 122 89 52 25 10 3 1 0 0 0 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 1 1 0 0 0 0 0 0 2 2 2 4 6 11 24 38 34 40 67 105 145 188 238 283 319 359 400 441 488 545 573 599 621 644 653 645 640 582 418 452 400 357 358 365 345 341 496 734 907 1007 1080 1129 1162 1124 938 815 730 717 765 832 874 924 998 1064 1091 1114 1209 1330
4 4 4 3 3 3 3 3 3 4 12 30 56 77 81 100 86 80 47 28 32 41 56 84 97 68 44 20 6 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 2 1 0 0 2 7 16 24 32 44 61 95 118 134 158 186 210 231 245 265 309 371 409 441 467 470 462 451 452 439 333 287 248 210 192 199 236 283 458 644 799 919 991 1018 1057 1092 977 784 726 695 689 713 757 820 902 982 1030 1148 1266 1303
3 3 3 3 3 3 3 3 3 3 8 16 22 22 19 17 11 8 3 6 18 32 40 47 42 29 15 5 1 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 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 3 8 19 49 98 113 130 145 157 163 158 154 150 148 152 191 233 261 278 284 279 287 268 251 223 169 125 107 100 88 91 157 243 358 441 542 663 756 800 856 923 816 660 632 646 675 723 759 770 844 944 1045 1166 1269 1334
3 3 3 3 3 3 3 3 3 3 4 6 6 3 2 1 1 1 1 8 26 42 33 21 14 8 4 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 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 22 56 113 153 174 189 195 183 157 128 108 97 103 128 157 178 183 172 152 159 148 121 89 56 37 36 39 38 58 89 118 165 206 278 406 513 502 539 634 588 483 471 541 643 730 731 698 794 905 1015 1110 1226 1338
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