edit this statistic or download as text // json
Identifier
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
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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 $\sigma$.
Code
def statistic(x):
    return x.rank()+1
Created
Oct 01, 2011 at 20:56 by Chris Berg
Updated
Jun 28, 2022 at 16:25 by Nadia Lafreniere