***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 The FindStatCrew * * * * This information is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ***************************************************************************** ----------------------------------------------------------------------------- Statistic identifier: St000020 ----------------------------------------------------------------------------- Collection: Permutations ----------------------------------------------------------------------------- Description: The rank of the permutation. This is its position among all permutations of the same size ordered lexicographically. This can be computed using the Lehmer code of a permutation: $$\text{rank}(\sigma) = 1 +\sum_{i=1}^{n-1} L(\sigma)_i (n − i)!,$$ where $L(\sigma)_i$ is the $i$-th entry of the Lehmer code of $\sigma$. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(x): return x.rank()+1 ----------------------------------------------------------------------------- Statistic values: [1] => 1 [1,2] => 1 [2,1] => 2 [1,2,3] => 1 [1,3,2] => 2 [2,1,3] => 3 [2,3,1] => 4 [3,1,2] => 5 [3,2,1] => 6 [1,2,3,4] => 1 [1,2,4,3] => 2 [1,3,2,4] => 3 [1,3,4,2] => 4 [1,4,2,3] => 5 [1,4,3,2] => 6 [2,1,3,4] => 7 [2,1,4,3] => 8 [2,3,1,4] => 9 [2,3,4,1] => 10 [2,4,1,3] => 11 [2,4,3,1] => 12 [3,1,2,4] => 13 [3,1,4,2] => 14 [3,2,1,4] => 15 [3,2,4,1] => 16 [3,4,1,2] => 17 [3,4,2,1] => 18 [4,1,2,3] => 19 [4,1,3,2] => 20 [4,2,1,3] => 21 [4,2,3,1] => 22 [4,3,1,2] => 23 [4,3,2,1] => 24 [1,2,3,4,5] => 1 [1,2,3,5,4] => 2 [1,2,4,3,5] => 3 [1,2,4,5,3] => 4 [1,2,5,3,4] => 5 [1,2,5,4,3] => 6 [1,3,2,4,5] => 7 [1,3,2,5,4] => 8 [1,3,4,2,5] => 9 [1,3,4,5,2] => 10 [1,3,5,2,4] => 11 [1,3,5,4,2] => 12 [1,4,2,3,5] => 13 [1,4,2,5,3] => 14 [1,4,3,2,5] => 15 [1,4,3,5,2] => 16 [1,4,5,2,3] => 17 [1,4,5,3,2] => 18 [1,5,2,3,4] => 19 [1,5,2,4,3] => 20 [1,5,3,2,4] => 21 [1,5,3,4,2] => 22 [1,5,4,2,3] => 23 [1,5,4,3,2] => 24 [2,1,3,4,5] => 25 [2,1,3,5,4] => 26 [2,1,4,3,5] => 27 [2,1,4,5,3] => 28 [2,1,5,3,4] => 29 [2,1,5,4,3] => 30 [2,3,1,4,5] => 31 [2,3,1,5,4] => 32 [2,3,4,1,5] => 33 [2,3,4,5,1] => 34 [2,3,5,1,4] => 35 [2,3,5,4,1] => 36 [2,4,1,3,5] => 37 [2,4,1,5,3] => 38 [2,4,3,1,5] => 39 [2,4,3,5,1] => 40 [2,4,5,1,3] => 41 [2,4,5,3,1] => 42 [2,5,1,3,4] => 43 [2,5,1,4,3] => 44 [2,5,3,1,4] => 45 [2,5,3,4,1] => 46 [2,5,4,1,3] => 47 [2,5,4,3,1] => 48 [3,1,2,4,5] => 49 [3,1,2,5,4] => 50 [3,1,4,2,5] => 51 [3,1,4,5,2] => 52 [3,1,5,2,4] => 53 [3,1,5,4,2] => 54 [3,2,1,4,5] => 55 [3,2,1,5,4] => 56 [3,2,4,1,5] => 57 [3,2,4,5,1] => 58 [3,2,5,1,4] => 59 [3,2,5,4,1] => 60 [3,4,1,2,5] => 61 [3,4,1,5,2] => 62 [3,4,2,1,5] => 63 [3,4,2,5,1] => 64 [3,4,5,1,2] => 65 [3,4,5,2,1] => 66 [3,5,1,2,4] => 67 [3,5,1,4,2] => 68 [3,5,2,1,4] => 69 [3,5,2,4,1] => 70 [3,5,4,1,2] => 71 [3,5,4,2,1] => 72 [4,1,2,3,5] => 73 [4,1,2,5,3] => 74 [4,1,3,2,5] => 75 [4,1,3,5,2] => 76 [4,1,5,2,3] => 77 [4,1,5,3,2] => 78 [4,2,1,3,5] => 79 [4,2,1,5,3] => 80 [4,2,3,1,5] => 81 [4,2,3,5,1] => 82 [4,2,5,1,3] => 83 [4,2,5,3,1] => 84 [4,3,1,2,5] => 85 [4,3,1,5,2] => 86 [4,3,2,1,5] => 87 [4,3,2,5,1] => 88 [4,3,5,1,2] => 89 [4,3,5,2,1] => 90 [4,5,1,2,3] => 91 [4,5,1,3,2] => 92 [4,5,2,1,3] => 93 [4,5,2,3,1] => 94 [4,5,3,1,2] => 95 [4,5,3,2,1] => 96 [5,1,2,3,4] => 97 [5,1,2,4,3] => 98 [5,1,3,2,4] => 99 [5,1,3,4,2] => 100 [5,1,4,2,3] => 101 [5,1,4,3,2] => 102 [5,2,1,3,4] => 103 [5,2,1,4,3] => 104 [5,2,3,1,4] => 105 [5,2,3,4,1] => 106 [5,2,4,1,3] => 107 [5,2,4,3,1] => 108 [5,3,1,2,4] => 109 [5,3,1,4,2] => 110 [5,3,2,1,4] => 111 [5,3,2,4,1] => 112 [5,3,4,1,2] => 113 [5,3,4,2,1] => 114 [5,4,1,2,3] => 115 [5,4,1,3,2] => 116 [5,4,2,1,3] => 117 [5,4,2,3,1] => 118 [5,4,3,1,2] => 119 [5,4,3,2,1] => 120 [1,2,3,4,5,6] => 1 [1,2,3,4,6,5] => 2 [1,2,3,5,4,6] => 3 [1,2,3,5,6,4] => 4 [1,2,3,6,4,5] => 5 [1,2,3,6,5,4] => 6 [1,2,4,3,5,6] => 7 [1,2,4,3,6,5] => 8 [1,2,4,5,3,6] => 9 [1,2,4,5,6,3] => 10 [1,2,4,6,3,5] => 11 [1,2,4,6,5,3] => 12 [1,2,5,3,4,6] => 13 [1,2,5,3,6,4] => 14 [1,2,5,4,3,6] => 15 [1,2,5,4,6,3] => 16 [1,2,5,6,3,4] => 17 [1,2,5,6,4,3] => 18 [1,2,6,3,4,5] => 19 [1,2,6,3,5,4] => 20 [1,2,6,4,3,5] => 21 [1,2,6,4,5,3] => 22 [1,2,6,5,3,4] => 23 [1,2,6,5,4,3] => 24 [1,3,2,4,5,6] => 25 [1,3,2,4,6,5] => 26 [1,3,2,5,4,6] => 27 [1,3,2,5,6,4] => 28 [1,3,2,6,4,5] => 29 [1,3,2,6,5,4] => 30 [1,3,4,2,5,6] => 31 [1,3,4,2,6,5] => 32 [1,3,4,5,2,6] => 33 [1,3,4,5,6,2] => 34 [1,3,4,6,2,5] => 35 [1,3,4,6,5,2] => 36 [1,3,5,2,4,6] => 37 [1,3,5,2,6,4] => 38 [1,3,5,4,2,6] => 39 [1,3,5,4,6,2] => 40 [1,3,5,6,2,4] => 41 [1,3,5,6,4,2] => 42 [1,3,6,2,4,5] => 43 [1,3,6,2,5,4] => 44 [1,3,6,4,2,5] => 45 [1,3,6,4,5,2] => 46 [1,3,6,5,2,4] => 47 [1,3,6,5,4,2] => 48 [1,4,2,3,5,6] => 49 [1,4,2,3,6,5] => 50 [1,4,2,5,3,6] => 51 [1,4,2,5,6,3] => 52 [1,4,2,6,3,5] => 53 [1,4,2,6,5,3] => 54 [1,4,3,2,5,6] => 55 [1,4,3,2,6,5] => 56 [1,4,3,5,2,6] => 57 [1,4,3,5,6,2] => 58 [1,4,3,6,2,5] => 59 [1,4,3,6,5,2] => 60 [1,4,5,2,3,6] => 61 [1,4,5,2,6,3] => 62 [1,4,5,3,2,6] => 63 [1,4,5,3,6,2] => 64 [1,4,5,6,2,3] => 65 [1,4,5,6,3,2] => 66 [1,4,6,2,3,5] => 67 [1,4,6,2,5,3] => 68 [1,4,6,3,2,5] => 69 [1,4,6,3,5,2] => 70 [1,4,6,5,2,3] => 71 [1,4,6,5,3,2] => 72 [1,5,2,3,4,6] => 73 [1,5,2,3,6,4] => 74 [1,5,2,4,3,6] => 75 [1,5,2,4,6,3] => 76 [1,5,2,6,3,4] => 77 [1,5,2,6,4,3] => 78 [1,5,3,2,4,6] => 79 [1,5,3,2,6,4] => 80 [1,5,3,4,2,6] => 81 [1,5,3,4,6,2] => 82 [1,5,3,6,2,4] => 83 [1,5,3,6,4,2] => 84 [1,5,4,2,3,6] => 85 [1,5,4,2,6,3] => 86 [1,5,4,3,2,6] => 87 [1,5,4,3,6,2] => 88 [1,5,4,6,2,3] => 89 [1,5,4,6,3,2] => 90 [1,5,6,2,3,4] => 91 [1,5,6,2,4,3] => 92 [1,5,6,3,2,4] => 93 [1,5,6,3,4,2] => 94 [1,5,6,4,2,3] => 95 [1,5,6,4,3,2] => 96 [1,6,2,3,4,5] => 97 [1,6,2,3,5,4] => 98 [1,6,2,4,3,5] => 99 [1,6,2,4,5,3] => 100 [1,6,2,5,3,4] => 101 [1,6,2,5,4,3] => 102 [1,6,3,2,4,5] => 103 [1,6,3,2,5,4] => 104 [1,6,3,4,2,5] => 105 [1,6,3,4,5,2] => 106 [1,6,3,5,2,4] => 107 [1,6,3,5,4,2] => 108 [1,6,4,2,3,5] => 109 [1,6,4,2,5,3] => 110 [1,6,4,3,2,5] => 111 [1,6,4,3,5,2] => 112 [1,6,4,5,2,3] => 113 [1,6,4,5,3,2] => 114 [1,6,5,2,3,4] => 115 [1,6,5,2,4,3] => 116 [1,6,5,3,2,4] => 117 [1,6,5,3,4,2] => 118 [1,6,5,4,2,3] => 119 [1,6,5,4,3,2] => 120 [2,1,3,4,5,6] => 121 [2,1,3,4,6,5] => 122 [2,1,3,5,4,6] => 123 [2,1,3,5,6,4] => 124 [2,1,3,6,4,5] => 125 [2,1,3,6,5,4] => 126 [2,1,4,3,5,6] => 127 [2,1,4,3,6,5] => 128 [2,1,4,5,3,6] => 129 [2,1,4,5,6,3] => 130 [2,1,4,6,3,5] => 131 [2,1,4,6,5,3] => 132 [2,1,5,3,4,6] => 133 [2,1,5,3,6,4] => 134 [2,1,5,4,3,6] => 135 [2,1,5,4,6,3] => 136 [2,1,5,6,3,4] => 137 [2,1,5,6,4,3] => 138 [2,1,6,3,4,5] => 139 [2,1,6,3,5,4] => 140 [2,1,6,4,3,5] => 141 [2,1,6,4,5,3] => 142 [2,1,6,5,3,4] => 143 [2,1,6,5,4,3] => 144 [2,3,1,4,5,6] => 145 [2,3,1,4,6,5] => 146 [2,3,1,5,4,6] => 147 [2,3,1,5,6,4] => 148 [2,3,1,6,4,5] => 149 [2,3,1,6,5,4] => 150 [2,3,4,1,5,6] => 151 [2,3,4,1,6,5] => 152 [2,3,4,5,1,6] => 153 [2,3,4,5,6,1] => 154 [2,3,4,6,1,5] => 155 [2,3,4,6,5,1] => 156 [2,3,5,1,4,6] => 157 [2,3,5,1,6,4] => 158 [2,3,5,4,1,6] => 159 [2,3,5,4,6,1] => 160 [2,3,5,6,1,4] => 161 [2,3,5,6,4,1] => 162 [2,3,6,1,4,5] => 163 [2,3,6,1,5,4] => 164 [2,3,6,4,1,5] => 165 [2,3,6,4,5,1] => 166 [2,3,6,5,1,4] => 167 [2,3,6,5,4,1] => 168 [2,4,1,3,5,6] => 169 [2,4,1,3,6,5] => 170 [2,4,1,5,3,6] => 171 [2,4,1,5,6,3] => 172 [2,4,1,6,3,5] => 173 [2,4,1,6,5,3] => 174 [2,4,3,1,5,6] => 175 [2,4,3,1,6,5] => 176 [2,4,3,5,1,6] => 177 [2,4,3,5,6,1] => 178 [2,4,3,6,1,5] => 179 [2,4,3,6,5,1] => 180 [2,4,5,1,3,6] => 181 [2,4,5,1,6,3] => 182 [2,4,5,3,1,6] => 183 [2,4,5,3,6,1] => 184 [2,4,5,6,1,3] => 185 [2,4,5,6,3,1] => 186 [2,4,6,1,3,5] => 187 [2,4,6,1,5,3] => 188 [2,4,6,3,1,5] => 189 [2,4,6,3,5,1] => 190 [2,4,6,5,1,3] => 191 [2,4,6,5,3,1] => 192 [2,5,1,3,4,6] => 193 [2,5,1,3,6,4] => 194 [2,5,1,4,3,6] => 195 [2,5,1,4,6,3] => 196 [2,5,1,6,3,4] => 197 [2,5,1,6,4,3] => 198 [2,5,3,1,4,6] => 199 [2,5,3,1,6,4] => 200 [2,5,3,4,1,6] => 201 [2,5,3,4,6,1] => 202 [2,5,3,6,1,4] => 203 [2,5,3,6,4,1] => 204 [2,5,4,1,3,6] => 205 [2,5,4,1,6,3] => 206 [2,5,4,3,1,6] => 207 [2,5,4,3,6,1] => 208 [2,5,4,6,1,3] => 209 [2,5,4,6,3,1] => 210 [2,5,6,1,3,4] => 211 [2,5,6,1,4,3] => 212 [2,5,6,3,1,4] => 213 [2,5,6,3,4,1] => 214 [2,5,6,4,1,3] => 215 [2,5,6,4,3,1] => 216 [2,6,1,3,4,5] => 217 [2,6,1,3,5,4] => 218 [2,6,1,4,3,5] => 219 [2,6,1,4,5,3] => 220 [2,6,1,5,3,4] => 221 [2,6,1,5,4,3] => 222 [2,6,3,1,4,5] => 223 [2,6,3,1,5,4] => 224 [2,6,3,4,1,5] => 225 [2,6,3,4,5,1] => 226 [2,6,3,5,1,4] => 227 [2,6,3,5,4,1] => 228 [2,6,4,1,3,5] => 229 [2,6,4,1,5,3] => 230 [2,6,4,3,1,5] => 231 [2,6,4,3,5,1] => 232 [2,6,4,5,1,3] => 233 [2,6,4,5,3,1] => 234 [2,6,5,1,3,4] => 235 [2,6,5,1,4,3] => 236 [2,6,5,3,1,4] => 237 [2,6,5,3,4,1] => 238 [2,6,5,4,1,3] => 239 [2,6,5,4,3,1] => 240 [3,1,2,4,5,6] => 241 [3,1,2,4,6,5] => 242 [3,1,2,5,4,6] => 243 [3,1,2,5,6,4] => 244 [3,1,2,6,4,5] => 245 [3,1,2,6,5,4] => 246 [3,1,4,2,5,6] => 247 [3,1,4,2,6,5] => 248 [3,1,4,5,2,6] => 249 [3,1,4,5,6,2] => 250 [3,1,4,6,2,5] => 251 [3,1,4,6,5,2] => 252 [3,1,5,2,4,6] => 253 [3,1,5,2,6,4] => 254 [3,1,5,4,2,6] => 255 [3,1,5,4,6,2] => 256 [3,1,5,6,2,4] => 257 [3,1,5,6,4,2] => 258 [3,1,6,2,4,5] => 259 [3,1,6,2,5,4] => 260 [3,1,6,4,2,5] => 261 [3,1,6,4,5,2] => 262 [3,1,6,5,2,4] => 263 [3,1,6,5,4,2] => 264 [3,2,1,4,5,6] => 265 [3,2,1,4,6,5] => 266 [3,2,1,5,4,6] => 267 [3,2,1,5,6,4] => 268 [3,2,1,6,4,5] => 269 [3,2,1,6,5,4] => 270 [3,2,4,1,5,6] => 271 [3,2,4,1,6,5] => 272 [3,2,4,5,1,6] => 273 [3,2,4,5,6,1] => 274 [3,2,4,6,1,5] => 275 [3,2,4,6,5,1] => 276 [3,2,5,1,4,6] => 277 [3,2,5,1,6,4] => 278 [3,2,5,4,1,6] => 279 [3,2,5,4,6,1] => 280 [3,2,5,6,1,4] => 281 [3,2,5,6,4,1] => 282 [3,2,6,1,4,5] => 283 [3,2,6,1,5,4] => 284 [3,2,6,4,1,5] => 285 [3,2,6,4,5,1] => 286 [3,2,6,5,1,4] => 287 [3,2,6,5,4,1] => 288 [3,4,1,2,5,6] => 289 [3,4,1,2,6,5] => 290 [3,4,1,5,2,6] => 291 [3,4,1,5,6,2] => 292 [3,4,1,6,2,5] => 293 [3,4,1,6,5,2] => 294 [3,4,2,1,5,6] => 295 [3,4,2,1,6,5] => 296 [3,4,2,5,1,6] => 297 [3,4,2,5,6,1] => 298 [3,4,2,6,1,5] => 299 [3,4,2,6,5,1] => 300 [3,4,5,1,2,6] => 301 [3,4,5,1,6,2] => 302 [3,4,5,2,1,6] => 303 [3,4,5,2,6,1] => 304 [3,4,5,6,1,2] => 305 [3,4,5,6,2,1] => 306 [3,4,6,1,2,5] => 307 [3,4,6,1,5,2] => 308 [3,4,6,2,1,5] => 309 [3,4,6,2,5,1] => 310 [3,4,6,5,1,2] => 311 [3,4,6,5,2,1] => 312 [3,5,1,2,4,6] => 313 [3,5,1,2,6,4] => 314 [3,5,1,4,2,6] => 315 [3,5,1,4,6,2] => 316 [3,5,1,6,2,4] => 317 [3,5,1,6,4,2] => 318 [3,5,2,1,4,6] => 319 [3,5,2,1,6,4] => 320 [3,5,2,4,1,6] => 321 [3,5,2,4,6,1] => 322 [3,5,2,6,1,4] => 323 [3,5,2,6,4,1] => 324 [3,5,4,1,2,6] => 325 [3,5,4,1,6,2] => 326 [3,5,4,2,1,6] => 327 [3,5,4,2,6,1] => 328 [3,5,4,6,1,2] => 329 [3,5,4,6,2,1] => 330 [3,5,6,1,2,4] => 331 [3,5,6,1,4,2] => 332 [3,5,6,2,1,4] => 333 [3,5,6,2,4,1] => 334 [3,5,6,4,1,2] => 335 [3,5,6,4,2,1] => 336 [3,6,1,2,4,5] => 337 [3,6,1,2,5,4] => 338 [3,6,1,4,2,5] => 339 [3,6,1,4,5,2] => 340 [3,6,1,5,2,4] => 341 [3,6,1,5,4,2] => 342 [3,6,2,1,4,5] => 343 [3,6,2,1,5,4] => 344 [3,6,2,4,1,5] => 345 [3,6,2,4,5,1] => 346 [3,6,2,5,1,4] => 347 [3,6,2,5,4,1] => 348 [3,6,4,1,2,5] => 349 [3,6,4,1,5,2] => 350 [3,6,4,2,1,5] => 351 [3,6,4,2,5,1] => 352 [3,6,4,5,1,2] => 353 [3,6,4,5,2,1] => 354 [3,6,5,1,2,4] => 355 [3,6,5,1,4,2] => 356 [3,6,5,2,1,4] => 357 [3,6,5,2,4,1] => 358 [3,6,5,4,1,2] => 359 [3,6,5,4,2,1] => 360 [4,1,2,3,5,6] => 361 [4,1,2,3,6,5] => 362 [4,1,2,5,3,6] => 363 [4,1,2,5,6,3] => 364 [4,1,2,6,3,5] => 365 [4,1,2,6,5,3] => 366 [4,1,3,2,5,6] => 367 [4,1,3,2,6,5] => 368 [4,1,3,5,2,6] => 369 [4,1,3,5,6,2] => 370 [4,1,3,6,2,5] => 371 [4,1,3,6,5,2] => 372 [4,1,5,2,3,6] => 373 [4,1,5,2,6,3] => 374 [4,1,5,3,2,6] => 375 [4,1,5,3,6,2] => 376 [4,1,5,6,2,3] => 377 [4,1,5,6,3,2] => 378 [4,1,6,2,3,5] => 379 [4,1,6,2,5,3] => 380 [4,1,6,3,2,5] => 381 [4,1,6,3,5,2] => 382 [4,1,6,5,2,3] => 383 [4,1,6,5,3,2] => 384 [4,2,1,3,5,6] => 385 [4,2,1,3,6,5] => 386 [4,2,1,5,3,6] => 387 [4,2,1,5,6,3] => 388 [4,2,1,6,3,5] => 389 [4,2,1,6,5,3] => 390 [4,2,3,1,5,6] => 391 [4,2,3,1,6,5] => 392 [4,2,3,5,1,6] => 393 [4,2,3,5,6,1] => 394 [4,2,3,6,1,5] => 395 [4,2,3,6,5,1] => 396 [4,2,5,1,3,6] => 397 [4,2,5,1,6,3] => 398 [4,2,5,3,1,6] => 399 [4,2,5,3,6,1] => 400 [4,2,5,6,1,3] => 401 [4,2,5,6,3,1] => 402 [4,2,6,1,3,5] => 403 [4,2,6,1,5,3] => 404 [4,2,6,3,1,5] => 405 [4,2,6,3,5,1] => 406 [4,2,6,5,1,3] => 407 [4,2,6,5,3,1] => 408 [4,3,1,2,5,6] => 409 [4,3,1,2,6,5] => 410 [4,3,1,5,2,6] => 411 [4,3,1,5,6,2] => 412 [4,3,1,6,2,5] => 413 [4,3,1,6,5,2] => 414 [4,3,2,1,5,6] => 415 [4,3,2,1,6,5] => 416 [4,3,2,5,1,6] => 417 [4,3,2,5,6,1] => 418 [4,3,2,6,1,5] => 419 [4,3,2,6,5,1] => 420 [4,3,5,1,2,6] => 421 [4,3,5,1,6,2] => 422 [4,3,5,2,1,6] => 423 [4,3,5,2,6,1] => 424 [4,3,5,6,1,2] => 425 [4,3,5,6,2,1] => 426 [4,3,6,1,2,5] => 427 [4,3,6,1,5,2] => 428 [4,3,6,2,1,5] => 429 [4,3,6,2,5,1] => 430 [4,3,6,5,1,2] => 431 [4,3,6,5,2,1] => 432 [4,5,1,2,3,6] => 433 [4,5,1,2,6,3] => 434 [4,5,1,3,2,6] => 435 [4,5,1,3,6,2] => 436 [4,5,1,6,2,3] => 437 [4,5,1,6,3,2] => 438 [4,5,2,1,3,6] => 439 [4,5,2,1,6,3] => 440 [4,5,2,3,1,6] => 441 [4,5,2,3,6,1] => 442 [4,5,2,6,1,3] => 443 [4,5,2,6,3,1] => 444 [4,5,3,1,2,6] => 445 [4,5,3,1,6,2] => 446 [4,5,3,2,1,6] => 447 [4,5,3,2,6,1] => 448 [4,5,3,6,1,2] => 449 [4,5,3,6,2,1] => 450 [4,5,6,1,2,3] => 451 [4,5,6,1,3,2] => 452 [4,5,6,2,1,3] => 453 [4,5,6,2,3,1] => 454 [4,5,6,3,1,2] => 455 [4,5,6,3,2,1] => 456 [4,6,1,2,3,5] => 457 [4,6,1,2,5,3] => 458 [4,6,1,3,2,5] => 459 [4,6,1,3,5,2] => 460 [4,6,1,5,2,3] => 461 [4,6,1,5,3,2] => 462 [4,6,2,1,3,5] => 463 [4,6,2,1,5,3] => 464 [4,6,2,3,1,5] => 465 [4,6,2,3,5,1] => 466 [4,6,2,5,1,3] => 467 [4,6,2,5,3,1] => 468 [4,6,3,1,2,5] => 469 [4,6,3,1,5,2] => 470 [4,6,3,2,1,5] => 471 [4,6,3,2,5,1] => 472 [4,6,3,5,1,2] => 473 [4,6,3,5,2,1] => 474 [4,6,5,1,2,3] => 475 [4,6,5,1,3,2] => 476 [4,6,5,2,1,3] => 477 [4,6,5,2,3,1] => 478 [4,6,5,3,1,2] => 479 [4,6,5,3,2,1] => 480 [5,1,2,3,4,6] => 481 [5,1,2,3,6,4] => 482 [5,1,2,4,3,6] => 483 [5,1,2,4,6,3] => 484 [5,1,2,6,3,4] => 485 [5,1,2,6,4,3] => 486 [5,1,3,2,4,6] => 487 [5,1,3,2,6,4] => 488 [5,1,3,4,2,6] => 489 [5,1,3,4,6,2] => 490 [5,1,3,6,2,4] => 491 [5,1,3,6,4,2] => 492 [5,1,4,2,3,6] => 493 [5,1,4,2,6,3] => 494 [5,1,4,3,2,6] => 495 [5,1,4,3,6,2] => 496 [5,1,4,6,2,3] => 497 [5,1,4,6,3,2] => 498 [5,1,6,2,3,4] => 499 [5,1,6,2,4,3] => 500 [5,1,6,3,2,4] => 501 [5,1,6,3,4,2] => 502 [5,1,6,4,2,3] => 503 [5,1,6,4,3,2] => 504 [5,2,1,3,4,6] => 505 [5,2,1,3,6,4] => 506 [5,2,1,4,3,6] => 507 [5,2,1,4,6,3] => 508 [5,2,1,6,3,4] => 509 [5,2,1,6,4,3] => 510 [5,2,3,1,4,6] => 511 [5,2,3,1,6,4] => 512 [5,2,3,4,1,6] => 513 [5,2,3,4,6,1] => 514 [5,2,3,6,1,4] => 515 [5,2,3,6,4,1] => 516 [5,2,4,1,3,6] => 517 [5,2,4,1,6,3] => 518 [5,2,4,3,1,6] => 519 [5,2,4,3,6,1] => 520 [5,2,4,6,1,3] => 521 [5,2,4,6,3,1] => 522 [5,2,6,1,3,4] => 523 [5,2,6,1,4,3] => 524 [5,2,6,3,1,4] => 525 [5,2,6,3,4,1] => 526 [5,2,6,4,1,3] => 527 [5,2,6,4,3,1] => 528 [5,3,1,2,4,6] => 529 [5,3,1,2,6,4] => 530 [5,3,1,4,2,6] => 531 [5,3,1,4,6,2] => 532 [5,3,1,6,2,4] => 533 [5,3,1,6,4,2] => 534 [5,3,2,1,4,6] => 535 [5,3,2,1,6,4] => 536 [5,3,2,4,1,6] => 537 [5,3,2,4,6,1] => 538 [5,3,2,6,1,4] => 539 [5,3,2,6,4,1] => 540 [5,3,4,1,2,6] => 541 [5,3,4,1,6,2] => 542 [5,3,4,2,1,6] => 543 [5,3,4,2,6,1] => 544 [5,3,4,6,1,2] => 545 [5,3,4,6,2,1] => 546 [5,3,6,1,2,4] => 547 [5,3,6,1,4,2] => 548 [5,3,6,2,1,4] => 549 [5,3,6,2,4,1] => 550 [5,3,6,4,1,2] => 551 [5,3,6,4,2,1] => 552 [5,4,1,2,3,6] => 553 [5,4,1,2,6,3] => 554 [5,4,1,3,2,6] => 555 [5,4,1,3,6,2] => 556 [5,4,1,6,2,3] => 557 [5,4,1,6,3,2] => 558 [5,4,2,1,3,6] => 559 [5,4,2,1,6,3] => 560 [5,4,2,3,1,6] => 561 [5,4,2,3,6,1] => 562 [5,4,2,6,1,3] => 563 [5,4,2,6,3,1] => 564 [5,4,3,1,2,6] => 565 [5,4,3,1,6,2] => 566 [5,4,3,2,1,6] => 567 [5,4,3,2,6,1] => 568 [5,4,3,6,1,2] => 569 [5,4,3,6,2,1] => 570 [5,4,6,1,2,3] => 571 [5,4,6,1,3,2] => 572 [5,4,6,2,1,3] => 573 [5,4,6,2,3,1] => 574 [5,4,6,3,1,2] => 575 [5,4,6,3,2,1] => 576 [5,6,1,2,3,4] => 577 [5,6,1,2,4,3] => 578 [5,6,1,3,2,4] => 579 [5,6,1,3,4,2] => 580 [5,6,1,4,2,3] => 581 [5,6,1,4,3,2] => 582 [5,6,2,1,3,4] => 583 [5,6,2,1,4,3] => 584 [5,6,2,3,1,4] => 585 [5,6,2,3,4,1] => 586 [5,6,2,4,1,3] => 587 [5,6,2,4,3,1] => 588 [5,6,3,1,2,4] => 589 [5,6,3,1,4,2] => 590 [5,6,3,2,1,4] => 591 [5,6,3,2,4,1] => 592 [5,6,3,4,1,2] => 593 [5,6,3,4,2,1] => 594 [5,6,4,1,2,3] => 595 [5,6,4,1,3,2] => 596 [5,6,4,2,1,3] => 597 [5,6,4,2,3,1] => 598 [5,6,4,3,1,2] => 599 [5,6,4,3,2,1] => 600 [6,1,2,3,4,5] => 601 [6,1,2,3,5,4] => 602 [6,1,2,4,3,5] => 603 [6,1,2,4,5,3] => 604 [6,1,2,5,3,4] => 605 [6,1,2,5,4,3] => 606 [6,1,3,2,4,5] => 607 [6,1,3,2,5,4] => 608 [6,1,3,4,2,5] => 609 [6,1,3,4,5,2] => 610 [6,1,3,5,2,4] => 611 [6,1,3,5,4,2] => 612 [6,1,4,2,3,5] => 613 [6,1,4,2,5,3] => 614 [6,1,4,3,2,5] => 615 [6,1,4,3,5,2] => 616 [6,1,4,5,2,3] => 617 [6,1,4,5,3,2] => 618 [6,1,5,2,3,4] => 619 [6,1,5,2,4,3] => 620 [6,1,5,3,2,4] => 621 [6,1,5,3,4,2] => 622 [6,1,5,4,2,3] => 623 [6,1,5,4,3,2] => 624 [6,2,1,3,4,5] => 625 [6,2,1,3,5,4] => 626 [6,2,1,4,3,5] => 627 [6,2,1,4,5,3] => 628 [6,2,1,5,3,4] => 629 [6,2,1,5,4,3] => 630 [6,2,3,1,4,5] => 631 [6,2,3,1,5,4] => 632 [6,2,3,4,1,5] => 633 [6,2,3,4,5,1] => 634 [6,2,3,5,1,4] => 635 [6,2,3,5,4,1] => 636 [6,2,4,1,3,5] => 637 [6,2,4,1,5,3] => 638 [6,2,4,3,1,5] => 639 [6,2,4,3,5,1] => 640 [6,2,4,5,1,3] => 641 [6,2,4,5,3,1] => 642 [6,2,5,1,3,4] => 643 [6,2,5,1,4,3] => 644 [6,2,5,3,1,4] => 645 [6,2,5,3,4,1] => 646 [6,2,5,4,1,3] => 647 [6,2,5,4,3,1] => 648 [6,3,1,2,4,5] => 649 [6,3,1,2,5,4] => 650 [6,3,1,4,2,5] => 651 [6,3,1,4,5,2] => 652 [6,3,1,5,2,4] => 653 [6,3,1,5,4,2] => 654 [6,3,2,1,4,5] => 655 [6,3,2,1,5,4] => 656 [6,3,2,4,1,5] => 657 [6,3,2,4,5,1] => 658 [6,3,2,5,1,4] => 659 [6,3,2,5,4,1] => 660 [6,3,4,1,2,5] => 661 [6,3,4,1,5,2] => 662 [6,3,4,2,1,5] => 663 [6,3,4,2,5,1] => 664 [6,3,4,5,1,2] => 665 [6,3,4,5,2,1] => 666 [6,3,5,1,2,4] => 667 [6,3,5,1,4,2] => 668 [6,3,5,2,1,4] => 669 [6,3,5,2,4,1] => 670 [6,3,5,4,1,2] => 671 [6,3,5,4,2,1] => 672 [6,4,1,2,3,5] => 673 [6,4,1,2,5,3] => 674 [6,4,1,3,2,5] => 675 [6,4,1,3,5,2] => 676 [6,4,1,5,2,3] => 677 [6,4,1,5,3,2] => 678 [6,4,2,1,3,5] => 679 [6,4,2,1,5,3] => 680 [6,4,2,3,1,5] => 681 [6,4,2,3,5,1] => 682 [6,4,2,5,1,3] => 683 [6,4,2,5,3,1] => 684 [6,4,3,1,2,5] => 685 [6,4,3,1,5,2] => 686 [6,4,3,2,1,5] => 687 [6,4,3,2,5,1] => 688 [6,4,3,5,1,2] => 689 [6,4,3,5,2,1] => 690 [6,4,5,1,2,3] => 691 [6,4,5,1,3,2] => 692 [6,4,5,2,1,3] => 693 [6,4,5,2,3,1] => 694 [6,4,5,3,1,2] => 695 [6,4,5,3,2,1] => 696 [6,5,1,2,3,4] => 697 [6,5,1,2,4,3] => 698 [6,5,1,3,2,4] => 699 [6,5,1,3,4,2] => 700 [6,5,1,4,2,3] => 701 [6,5,1,4,3,2] => 702 [6,5,2,1,3,4] => 703 [6,5,2,1,4,3] => 704 [6,5,2,3,1,4] => 705 [6,5,2,3,4,1] => 706 [6,5,2,4,1,3] => 707 [6,5,2,4,3,1] => 708 [6,5,3,1,2,4] => 709 [6,5,3,1,4,2] => 710 [6,5,3,2,1,4] => 711 [6,5,3,2,4,1] => 712 [6,5,3,4,1,2] => 713 [6,5,3,4,2,1] => 714 [6,5,4,1,2,3] => 715 [6,5,4,1,3,2] => 716 [6,5,4,2,1,3] => 717 [6,5,4,2,3,1] => 718 [6,5,4,3,1,2] => 719 [6,5,4,3,2,1] => 720 ----------------------------------------------------------------------------- Created: Oct 01, 2011 at 20:56 by Chris Berg ----------------------------------------------------------------------------- Last Updated: Jun 28, 2022 at 16:25 by Nadia Lafreniere